Subgroups — #72277073

Order 2688.

2672 conjugacy classes of subgroups.

The subgroup lattice has 2308 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	ΓL(1,𝔽₈)×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	#90521⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#90520⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
4	D₄×(C₂²⋊D₇)⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#6500⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
6	#90374⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
7	#90369⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
8	#90357⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
9	#90349⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
10	#90348⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
11	#90344⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
12	#90335⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
13	#90328⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
14	#90311⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#90311⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
16	#90308⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#90300⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
18	#90298⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#90296⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#90282⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#90281⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#120×AGL(1,𝔽₇)	C₂	1	1	yes	maximal, characteristic, complemented
23	#90283⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
24	#90251⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#90251⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
26	#90245⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
27	#90241⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
28	#90186⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
29	#90184⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
30	#90181⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#6445⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
32	#11743735	C₃	1	1	yes	maximal, characteristic, complemented, Hall
33	C₂⁴×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
34	C₂×#41×ΓL(1,𝔽₈)	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₄×ΓL(1,𝔽₈)	C₂²	1	1	yes	characteristic, complemented
36	C₂²×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
37	C₂²×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
38	C₂²×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
39	C₂²×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#1159⋊C₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
46	C₂×#1157⋊C₃	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₄⋊AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₄⋊AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
49	ΓL(1,𝔽₈)×#124	C₂²	1	1	yes	characteristic, complemented
50	ΓL(1,𝔽₈)×#123	C₂²	1	1	yes	characteristic, complemented
51	ΓL(1,𝔽₈)×#123	C₂²	1	1	yes	characteristic, complemented
52	ΓL(1,𝔽₈)×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	ΓL(1,𝔽₈)×#121	C₂²	1	1	yes	characteristic, complemented
54	ΓL(1,𝔽₈)×#121	C₂²	1	1	yes	characteristic, complemented
55	ΓL(1,𝔽₈)×#121	C₂²	1	1	yes	characteristic, complemented
56	ΓL(1,𝔽₈)×#120	C₂²	1	1	yes	characteristic, complemented
57	ΓL(1,𝔽₈)×#120	C₂²	1	1	yes	characteristic, complemented
58	C₄×D₄×ΓL(1,𝔽₈)	C₂²	1	1	yes	characteristic, complemented
59	C₄×D₄×ΓL(1,𝔽₈)	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₂²⋊C₄×ΓL(1,𝔽₈)	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₂²⋊C₄×ΓL(1,𝔽₈)	C₂²	1	1	yes	characteristic, complemented
62	#10620789	C₂²	1	1	yes	characteristic
63	#10620789	C₂²	1	1	yes	characteristic, complemented
64	C₂×(C₂²⋊Dic₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
65	#6510⋊C₃	C₂²	1	1	yes	characteristic, complemented
66	#6510⋊C₃	C₂²	1	1	yes	characteristic, complemented
67	#6510⋊C₃	C₂²	1	1	yes	characteristic, complemented
68	#6509⋊C₃	C₂²	1	1	yes	characteristic, complemented
69	#6503⋊C₃	C₂²	1	1	yes	characteristic, complemented
70	#6503⋊C₃	C₂²	1	1	yes	characteristic, complemented
71	#6503⋊C₃	C₂²	1	1	yes	characteristic, complemented
72	#6503⋊C₃	C₂²	1	1	yes	characteristic, complemented
73	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
74	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
75	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
76	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
77	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
78	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
79	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
80	#6501⋊C₃	C₂²	1	1	yes	characteristic, complemented
81	#6501⋊C₃	C₂²	1	1	yes	characteristic, complemented
82	#6500⋊C₃	C₂²	1	1	yes	characteristic
83	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
84	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
85	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
86	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
87	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
88	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
89	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
90	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
91	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
92	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
93	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
94	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
95	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
96	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
97	D₄×ΓL(1,𝔽₈)⋊C₄	C₂²	1	1	yes	characteristic, complemented
98	D₄×ΓL(1,𝔽₈)⋊C₄	C₂²	1	1	yes	characteristic, complemented
99	#6493⋊C₃	C₂²	1	1	yes	characteristic, complemented
100	#6493⋊C₃	C₂²	1	1	yes	characteristic, complemented
101	#6493⋊C₃	C₂²	1	1	yes	characteristic, complemented
102	#6493⋊C₃	C₂²	1	1	yes	characteristic, complemented
103	#6493⋊C₃	C₂²	1	1	yes	characteristic, complemented
104	#6493⋊C₃	C₂²	1	1	yes	characteristic, complemented
105	#6493⋊C₃	C₂²	1	1	yes	characteristic, complemented
106	#6493⋊C₃	C₂²	1	1	yes	characteristic, complemented
107	#6492⋊C₃	C₂²	1	1	yes	characteristic, complemented
108	#6492⋊C₃	C₂²	1	1	yes	characteristic, complemented
109	#6492⋊C₃	C₂²	1	1	yes	characteristic, complemented
110	C₄×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
111	C₄×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
112	C₄×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	1	1	yes	characteristic, complemented
117	C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	#6489⋊C₃	C₂²	1	1	yes	characteristic, complemented
119	#6487⋊C₃	C₂²	1	1	yes	characteristic, complemented
120	#6461⋊C₃	C₂²	1	1	yes	characteristic, complemented
121	#6461⋊C₃	C₂²	1	1	yes	characteristic, complemented
122	#6461⋊C₃	C₂²	1	1	yes	characteristic, complemented
123	#6461⋊C₃	C₂²	1	1	yes	characteristic, complemented
124	#6461⋊C₃	C₂²	1	1	yes	characteristic, complemented
125	#6460⋊C₃	C₂²	1	1	yes	characteristic, complemented
126	#6458⋊C₃	C₂²	1	1	yes	characteristic, complemented
127	#6458⋊C₃	C₂²	1	1	yes	characteristic, complemented
128	#6458⋊C₃	C₂²	1	1	yes	characteristic, complemented
129	#6457⋊C₃	C₂²	1	1	yes	characteristic, complemented
130	#6457⋊C₃	C₂²	1	1	yes	characteristic, complemented
131	#6457⋊C₃	C₂²	1	1	yes	characteristic, complemented
132	#6457⋊C₃	C₂²	1	1	yes	characteristic, complemented
133	#6457⋊C₃	C₂²	1	1	yes	characteristic, complemented
134	#6456⋊C₃	C₂²	1	1	yes	characteristic, complemented
135	#6455⋊C₃	C₂²	1	1	yes	characteristic, complemented
136	#6449⋊C₃	C₂²	1	1	yes	characteristic, complemented
137	#6449⋊C₃	C₂²	1	1	yes	characteristic, complemented
138	#6449⋊C₃	C₂²	1	1	yes	characteristic, complemented
139	#6449⋊C₃	C₂²	1	1	yes	characteristic, complemented
140	#6449⋊C₃	C₂²	1	1	yes	characteristic, complemented
141	#6448⋊C₃	C₂²	1	1	yes	characteristic, complemented
142	#6448⋊C₃	C₂²	1	1	yes	characteristic, complemented
143	#6448⋊C₃	C₂²	1	1	yes	characteristic, complemented
144	#6448⋊C₃	C₂²	1	1	yes	characteristic, complemented
145	#6448⋊C₃	C₂²	1	1	yes	characteristic, complemented
146	#6448⋊C₃	C₂²	1	1	yes	characteristic, complemented
147	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
148	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
149	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
150	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
151	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
152	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
153	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
154	#6446⋊C₃	C₂²	1	1	yes	characteristic, complemented
155	#6446⋊C₃	C₂²	1	1	yes	characteristic, complemented
156	#6446⋊C₃	C₂²	1	1	yes	characteristic, complemented
157	#6445⋊C₃	C₂²	1	1	yes	characteristic
158	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
159	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
160	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
161	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
162	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
163	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
164	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
165	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
166	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
167	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
168	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
169	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
170	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
171	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
172	((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
173	((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
176	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
177	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
178	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
179	#6442⋊C₃	C₂²	1	1	yes	characteristic, complemented
180	#6442⋊C₃	C₂²	1	1	yes	characteristic, complemented
181	#6441⋊C₃	C₂²	1	1	yes	characteristic, complemented
182	#6441⋊C₃	C₂²	1	1	yes	characteristic, complemented
183	#6440⋊C₃	C₂²	1	1	yes	characteristic, complemented
184	#10620712	C₂²	1	1	yes	characteristic, complemented
185	#6438⋊C₃	C₂²	1	1	yes	characteristic, complemented
186	#6438⋊C₃	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₄⋊AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
188	C₇×#546	C₂×C₃	1	1	yes	characteristic, complemented
189	#90521	C₂×C₃	1	1	yes	characteristic, complemented
190	#90520	C₂×C₃	1	1	yes	characteristic, complemented
191	D₄×C₂²⋊D₇	C₂×C₃	1	1	yes	characteristic, complemented
192	C₂×#6500	C₂×C₃	1	1	yes	characteristic, complemented
193	#90374	C₂×C₃	1	1	yes	characteristic, complemented
194	#90369	C₂×C₃	1	1	yes	characteristic, complemented
195	#90357	C₂×C₃	1	1	yes	characteristic, complemented
196	#90349	C₂×C₃	1	1	yes	characteristic, complemented
197	#90348	C₂×C₃	1	1	yes	characteristic, complemented
198	#90344	C₂×C₃	1	1	yes	characteristic, complemented
199	#90335	C₂×C₃	1	1	yes	characteristic, complemented
200	#90328	C₂×C₃	1	1	yes	characteristic, complemented
201	#90311	C₂×C₃	1	1	yes	characteristic, complemented
202	#90311	C₂×C₃	1	1	yes	characteristic, complemented
203	#90308	C₂×C₃	1	1	yes	characteristic, complemented
204	#90300	C₂×C₃	1	1	yes	characteristic, complemented
205	#90298	C₂×C₃	1	1	yes	characteristic, complemented
206	#90296	C₂×C₃	1	1	yes	characteristic, complemented
207	#90283	C₂×C₃	1	1	yes	characteristic, complemented
208	#90282	C₂×C₃	1	1	yes	characteristic, complemented
209	#90281	C₂×C₃	1	1	yes	characteristic, complemented
210	D₇×#120	C₂×C₃	1	1	yes	characteristic, complemented
211	#90251	C₂×C₃	1	1	yes	characteristic, complemented
212	#90251	C₂×C₃	1	1	yes	characteristic, complemented
213	#90245	C₂×C₃	1	1	yes	characteristic, complemented
214	#90241	C₂×C₃	1	1	yes	characteristic, complemented
215	#90186	C₂×C₃	1	1	yes	characteristic, complemented
216	#90184	C₂×C₃	1	1	yes	characteristic, complemented
217	#90181	C₂×C₃	1	1	yes	characteristic, complemented
218	C₂×#6445	C₂×C₃	1	1	yes	characteristic, complemented
219	C₃×#3532	—	7	1	no	maximal, Hall
220	C₂⁴×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
221	C₂⁴×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
222	C₂³×AGL(1,𝔽₇)	—	4	2	no	—
223	C₂³×AGL(1,𝔽₇)	—	4	2	no	—
224	C₂³×AGL(1,𝔽₇)	—	4	2	no	—
225	C₂³×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
226	C₂³×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
227	C₂³×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
228	C₂³×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
229	C₂³×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
230	C₂³×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
231	C₂³×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
232	C₂³×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
233	C₂³×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic, complemented
234	#41×ΓL(1,𝔽₈)	—	4	2	no	—
235	C₂×Q₈×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
236	C₂×D₄×ΓL(1,𝔽₈)	—	4	2	no	—
237	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
238	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
239	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
240	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
241	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
242	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
243	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
244	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
245	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
246	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
247	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
248	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
249	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
250	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
251	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
252	C₂×(C₂²⋊D₇)⋊C₃	—	4	2	no	—
253	C₂×(C₂²⋊D₇)⋊C₃	—	4	2	no	—
254	C₂×(C₂²⋊D₇)⋊C₃	—	4	2	no	—
255	C₂×(C₂²⋊D₇)⋊C₃	—	4	2	no	—
256	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
257	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
258	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
259	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
260	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
261	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
262	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
263	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
264	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
265	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
266	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
267	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
268	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
269	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
270	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
271	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
272	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
273	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
274	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
275	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
276	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
277	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
278	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
279	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
280	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic
281	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic
282	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
284	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
285	#1159⋊C₃	—	4	2	no	—
286	D₄×AGL(1,𝔽₇)	—	4	2	no	—
287	D₄×AGL(1,𝔽₇)	—	4	2	no	—
288	D₄×AGL(1,𝔽₇)	—	4	2	no	—
289	D₄×AGL(1,𝔽₇)	—	4	2	no	—
290	D₄×AGL(1,𝔽₇)	—	4	2	no	—
291	#1157⋊C₃	—	4	2	no	—
292	C₂×C₄⋊AGL(1,𝔽₇)	—	4	2	no	—
293	C₂×C₄⋊AGL(1,𝔽₇)	—	4	2	no	—
294	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic, complemented
306	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
307	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
308	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
309	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic, complemented
310	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic, complemented
311	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic, complemented
312	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic, complemented
313	C₂×ΓL(1,𝔽₈)⋊Q₈	C₂³	1	1	yes	characteristic, complemented
314	C₂×ΓL(1,𝔽₈)⋊Q₈	C₂³	1	1	yes	characteristic, complemented
315	C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
316	C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
317	C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
318	C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
319	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
320	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
321	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
322	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
323	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
324	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
325	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
326	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
327	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
328	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
329	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
330	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
331	C₄²×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
332	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
333	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
334	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
335	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
336	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
337	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
338	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
339	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
340	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
341	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
342	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
343	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
344	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
345	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
346	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
347	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
348	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
349	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
350	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
351	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
352	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
353	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
354	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
355	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
356	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
357	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
358	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
359	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
360	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
361	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
362	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
363	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
364	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
365	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
366	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
367	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
368	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
369	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
370	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
371	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
372	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
373	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
374	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
375	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
376	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
377	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
378	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
379	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
380	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
381	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
382	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
383	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
384	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
385	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
386	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
387	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
388	C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
389	C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
390	C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
391	C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
392	C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
393	C₂⁴×D₇	C₂²×C₃	1	1	yes	characteristic, complemented
394	C₂×C₇×#41	C₂²×C₃	1	1	yes	characteristic, complemented
395	C₂²×C₇×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
396	C₂²×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
397	C₂²×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
398	C₂²×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
399	C₂²×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
400	C₂×#1159	C₂²×C₃	1	1	yes	characteristic, complemented
401	C₂×D₄×D₇	C₂²×C₃	1	1	yes	characteristic, complemented
402	C₂×D₄×D₇	C₂²×C₃	1	1	yes	characteristic, complemented
403	C₂×D₄×D₇	C₂²×C₃	1	1	yes	characteristic, complemented
404	C₂×D₄×D₇	C₂²×C₃	1	1	yes	characteristic, complemented
405	C₂×D₄×D₇	C₂²×C₃	1	1	yes	characteristic, complemented
406	C₂×#1157	C₂²×C₃	1	1	yes	characteristic, complemented
407	C₂²×D₂₈	C₂²×C₃	1	1	yes	characteristic, complemented
408	C₂²×D₂₈	C₂²×C₃	1	1	yes	characteristic, complemented
409	C₇×#124	C₂²×C₃	1	1	yes	characteristic, complemented
410	C₇×#123	C₂²×C₃	1	1	yes	characteristic, complemented
411	C₇×#123	C₂²×C₃	1	1	yes	characteristic, complemented
412	C₇×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
413	C₇×#121	C₂²×C₃	1	1	yes	characteristic, complemented
414	C₇×#121	C₂²×C₃	1	1	yes	characteristic, complemented
415	C₇×#121	C₂²×C₃	1	1	yes	characteristic, complemented
416	C₇×#120	C₂²×C₃	1	1	yes	characteristic, complemented
417	C₇×#120	C₂²×C₃	1	1	yes	characteristic, complemented
418	C₄×C₇×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
419	C₄×C₇×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
420	C₂×C₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
421	C₂×C₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
422	#6516	C₂²×C₃	1	1	yes	characteristic
423	#6516	C₂²×C₃	1	1	yes	characteristic, complemented
424	C₂×C₂²⋊Dic₇	C₂²×C₃	1	1	yes	characteristic, complemented
425	#6510	C₂²×C₃	1	1	yes	characteristic, complemented
426	#6510	C₂²×C₃	1	1	yes	characteristic, complemented
427	#6510	C₂²×C₃	1	1	yes	characteristic, complemented
428	#6509	C₂²×C₃	1	1	yes	characteristic, complemented
429	#6503	C₂²×C₃	1	1	yes	characteristic, complemented
430	#6503	C₂²×C₃	1	1	yes	characteristic, complemented
431	#6503	C₂²×C₃	1	1	yes	characteristic, complemented
432	#6503	C₂²×C₃	1	1	yes	characteristic, complemented
433	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
434	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
435	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
436	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
437	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
438	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
439	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
440	#6501	C₂²×C₃	1	1	yes	characteristic, complemented
441	#6501	C₂²×C₃	1	1	yes	characteristic, complemented
442	#6500	C₂²×C₃	1	1	yes	characteristic
443	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
444	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
445	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
446	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
447	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
448	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
449	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
450	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
451	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
452	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
453	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
454	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
455	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
456	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
457	D₄×Dic₇	C₂²×C₃	1	1	yes	characteristic, complemented
458	D₄×Dic₇	C₂²×C₃	1	1	yes	characteristic, complemented
459	#6493	C₂²×C₃	1	1	yes	characteristic, complemented
460	#6493	C₂²×C₃	1	1	yes	characteristic, complemented
461	#6493	C₂²×C₃	1	1	yes	characteristic, complemented
462	#6493	C₂²×C₃	1	1	yes	characteristic, complemented
463	#6493	C₂²×C₃	1	1	yes	characteristic, complemented
464	#6493	C₂²×C₃	1	1	yes	characteristic, complemented
465	#6493	C₂²×C₃	1	1	yes	characteristic, complemented
466	#6493	C₂²×C₃	1	1	yes	characteristic, complemented
467	#6492	C₂²×C₃	1	1	yes	characteristic, complemented
468	#6492	C₂²×C₃	1	1	yes	characteristic, complemented
469	#6492	C₂²×C₃	1	1	yes	characteristic, complemented
470	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
471	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
472	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
473	C₂×(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
474	C₂×(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
475	C₂×(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
476	C₂×(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
477	C₂×(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
478	#6489	C₂²×C₃	1	1	yes	characteristic, complemented
479	#6487	C₂²×C₃	1	1	yes	characteristic, complemented
480	#6461	C₂²×C₃	1	1	yes	characteristic, complemented
481	#6461	C₂²×C₃	1	1	yes	characteristic, complemented
482	#6461	C₂²×C₃	1	1	yes	characteristic, complemented
483	#6461	C₂²×C₃	1	1	yes	characteristic, complemented
484	#6461	C₂²×C₃	1	1	yes	characteristic, complemented
485	#6460	C₂²×C₃	1	1	yes	characteristic, complemented
486	#6458	C₂²×C₃	1	1	yes	characteristic, complemented
487	#6458	C₂²×C₃	1	1	yes	characteristic, complemented
488	#6458	C₂²×C₃	1	1	yes	characteristic, complemented
489	#6457	C₂²×C₃	1	1	yes	characteristic, complemented
490	#6457	C₂²×C₃	1	1	yes	characteristic, complemented
491	#6457	C₂²×C₃	1	1	yes	characteristic, complemented
492	#6457	C₂²×C₃	1	1	yes	characteristic, complemented
493	#6457	C₂²×C₃	1	1	yes	characteristic, complemented
494	#6456	C₂²×C₃	1	1	yes	characteristic, complemented
495	#6455	C₂²×C₃	1	1	yes	characteristic, complemented
496	#6449	C₂²×C₃	1	1	yes	characteristic, complemented
497	#6449	C₂²×C₃	1	1	yes	characteristic, complemented
498	#6449	C₂²×C₃	1	1	yes	characteristic, complemented
499	#6449	C₂²×C₃	1	1	yes	characteristic, complemented
500	#6449	C₂²×C₃	1	1	yes	characteristic, complemented
501	#6448	C₂²×C₃	1	1	yes	characteristic, complemented
502	#6448	C₂²×C₃	1	1	yes	characteristic, complemented
503	#6448	C₂²×C₃	1	1	yes	characteristic, complemented
504	#6448	C₂²×C₃	1	1	yes	characteristic, complemented
505	#6448	C₂²×C₃	1	1	yes	characteristic, complemented
506	#6448	C₂²×C₃	1	1	yes	characteristic, complemented
507	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
508	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
509	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
510	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
511	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
512	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
513	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
514	#6446	C₂²×C₃	1	1	yes	characteristic, complemented
515	#6446	C₂²×C₃	1	1	yes	characteristic, complemented
516	#6446	C₂²×C₃	1	1	yes	characteristic, complemented
517	#6445	C₂²×C₃	1	1	yes	characteristic
518	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
519	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
520	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
521	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
522	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
523	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
524	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
525	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
526	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
527	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
528	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
529	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
530	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
531	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
532	(C₂²⋊D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
533	(C₂²⋊D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
534	(C₂²⋊D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
535	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
536	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
537	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
538	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
539	#6442	C₂²×C₃	1	1	yes	characteristic, complemented
540	#6442	C₂²×C₃	1	1	yes	characteristic, complemented
541	#6441	C₂²×C₃	1	1	yes	characteristic, complemented
542	#6441	C₂²×C₃	1	1	yes	characteristic, complemented
543	#6440	C₂²×C₃	1	1	yes	characteristic, complemented
544	#6439	C₂²×C₃	1	1	yes	characteristic, complemented
545	#6438	C₂²×C₃	1	1	yes	characteristic, complemented
546	#6438	C₂²×C₃	1	1	yes	characteristic, complemented
547	C₄×D₂₈	C₂²×C₃	1	1	yes	characteristic, complemented
548	C₃×H(3,𝔽₄)	—	7	1	no	—
549	C₃×#560	—	7	1	no	—
550	C₃×#560	—	7	1	no	—
551	C₃×#560	—	7	1	no	—
552	C₃×#551	—	7	1	no	—
553	C₃×#551	—	7	1	no	—
554	C₃×#551	—	7	1	no	—
555	C₃×#546	—	7	1	no	—
556	C₃×#546	—	7	1	no	—
557	C₃×#546	—	7	1	no	—
558	C₃×#546	—	7	1	no	—
559	C₃×#546	—	7	1	no	—
560	C₃×#546	—	7	1	no	—
561	C₃×D₄²	—	7	1	no	—
562	C₃×D₄²	—	7	1	no	—
563	C₃×D₄²	—	7	1	no	—
564	C₃×#538	—	7	1	no	—
565	C₃×#538	—	7	1	no	—
566	C₃×#538	—	7	1	no	—
567	C₃×#538	—	7	1	no	—
568	C₃×#538	—	7	1	no	—
569	C₃×#538	—	7	1	no	—
570	C₃×#535	—	7	1	no	—
571	C₃×#535	—	7	1	no	—
572	C₃×#535	—	7	1	no	—
573	C₃×#534	—	7	1	no	—
574	C₃×#534	—	7	1	no	—
575	C₃×#534	—	7	1	no	—
576	C₂×C₃×#120	—	7	1	no	—
577	C₂×C₃×#120	—	7	1	no	—
578	C₂×C₃×#120	—	7	1	no	—
579	C₂³×ΓL(1,𝔽₈)	—	2	2	no	—
580	C₂³×ΓL(1,𝔽₈)	—	2	2	no	—
581	C₂³×ΓL(1,𝔽₈)	—	2	2	no	—
582	C₂³×ΓL(1,𝔽₈)	—	4	1	no	—
583	C₂³×ΓL(1,𝔽₈)	—	4	1	no	—
584	C₂³×ΓL(1,𝔽₈)	—	4	1	no	—
585	C₂³×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
586	C₂³×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
587	C₂³×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
588	C₂³×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
589	C₂³×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
590	C₂³×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
591	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
592	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
593	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
594	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
595	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
596	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
597	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
598	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
599	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
600	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
601	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
602	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
603	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
604	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
605	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
606	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
607	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
608	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
609	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
610	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
611	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
612	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
613	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
614	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
615	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
616	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
617	C₂²×AGL(1,𝔽₇)	—	4	1	no	—
618	C₂²×AGL(1,𝔽₇)	—	4	16	no	—
619	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
620	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
621	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
622	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
623	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
624	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
625	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
626	Q₈×ΓL(1,𝔽₈)	—	4	1	no	—
627	D₄×ΓL(1,𝔽₈)	—	2	2	no	—
628	D₄×ΓL(1,𝔽₈)	—	2	2	no	—
629	D₄×ΓL(1,𝔽₈)	—	2	2	no	—
630	D₄×ΓL(1,𝔽₈)	—	2	2	no	—
631	D₄×ΓL(1,𝔽₈)	—	4	1	no	—
632	D₄×ΓL(1,𝔽₈)	—	4	1	no	—
633	D₄×ΓL(1,𝔽₈)	—	4	1	no	—
634	D₄×ΓL(1,𝔽₈)	—	4	1	no	—
635	D₄×ΓL(1,𝔽₈)	—	4	1	no	—
636	C₂×C₄×ΓL(1,𝔽₈)	—	2	2	no	—
637	C₂×C₄×ΓL(1,𝔽₈)	—	4	1	no	—
638	C₂×C₄×ΓL(1,𝔽₈)	—	4	1	no	—
639	C₂×C₄×ΓL(1,𝔽₈)	—	4	1	no	—
640	C₂×C₄×ΓL(1,𝔽₈)	—	4	1	no	—
641	C₂×C₄×ΓL(1,𝔽₈)	—	4	1	no	—
642	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
643	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
644	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
645	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
646	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
647	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
648	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
649	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
650	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
651	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
652	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
653	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
654	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
655	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
656	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
657	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
658	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
659	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
660	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
661	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
662	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
663	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
664	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
665	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
666	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
667	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
668	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
669	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
670	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
671	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
672	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
673	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
674	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
675	C₂×ΓL(1,𝔽₈)⋊C₄	—	2	2	no	—
676	C₂×ΓL(1,𝔽₈)⋊C₄	—	4	1	no	—
677	C₂×ΓL(1,𝔽₈)⋊C₄	—	4	1	no	—
678	C₂×ΓL(1,𝔽₈)⋊C₄	—	4	1	no	—
679	C₂×ΓL(1,𝔽₈)⋊C₄	—	4	1	no	—
680	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
681	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
682	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
683	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
684	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
685	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
686	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
687	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
688	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
689	C₄⋊AGL(1,𝔽₇)	—	2	2	no	—
690	C₄⋊AGL(1,𝔽₇)	—	2	2	no	—
691	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
692	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
693	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
694	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
695	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
696	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
697	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
698	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
699	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
700	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
701	C₄×AGL(1,𝔽₇)	—	2	2	no	—
702	C₄×AGL(1,𝔽₇)	—	4	1	no	—
703	C₄×AGL(1,𝔽₇)	—	4	1	no	—
704	C₄×AGL(1,𝔽₇)	—	4	1	no	—
705	C₄×AGL(1,𝔽₇)	—	4	1	no	—
706	C₄×AGL(1,𝔽₇)	—	4	1	no	—
707	C₄×AGL(1,𝔽₇)	—	4	1	no	—
708	ΓL(1,𝔽₈)⋊Q₈	—	4	1	no	—
709	ΓL(1,𝔽₈)⋊Q₈	—	4	1	no	—
710	#3532	—	7	1	no	Sylow
711	C₂⁴×C₇	C₂³×C₃	1	1	yes	characteristic
712	C₂⁴×C₇	C₂³×C₃	1	1	yes	characteristic
713	C₂³×D₇	—	4	2	no	—
714	C₂³×D₇	—	4	2	no	—
715	C₂³×D₇	—	4	2	no	—
716	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
717	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
718	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
719	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
720	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
721	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
722	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
723	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
724	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic, complemented
725	C₇×#41	—	4	2	no	—
726	C₂×C₇×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
727	C₂×C₇×D₄	—	4	2	no	—
728	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
729	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
730	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
731	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
732	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
733	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
734	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
735	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
736	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
737	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic
738	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic
739	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic
740	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic, complemented
741	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic, complemented
742	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic, complemented
743	C₂×C₂²⋊D₇	—	4	2	no	—
744	C₂×C₂²⋊D₇	—	4	2	no	—
745	C₂×C₂²⋊D₇	—	4	2	no	—
746	C₂×C₂²⋊D₇	—	4	2	no	—
747	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
748	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
749	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
750	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
751	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
752	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
753	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
754	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
755	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
756	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
757	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
758	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
759	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
760	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
761	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
762	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
763	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
764	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
765	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic, complemented
766	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic, complemented
767	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic, complemented
768	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic, complemented
769	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic, complemented
770	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic, complemented
771	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic
772	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic
773	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic
774	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
775	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
776	#1159	—	4	2	no	—
777	D₄×D₇	—	4	2	no	—
778	D₄×D₇	—	4	2	no	—
779	D₄×D₇	—	4	2	no	—
780	D₄×D₇	—	4	2	no	—
781	D₄×D₇	—	4	2	no	—
782	#1157	—	4	2	no	—
783	C₂×D₂₈	—	4	2	no	—
784	C₂×D₂₈	—	4	2	no	—
785	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
786	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
787	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
788	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
789	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
790	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
791	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
792	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
793	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
794	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
795	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
796	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic, complemented
797	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
798	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
799	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
800	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic, complemented
801	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic, complemented
802	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic, complemented
803	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic, complemented
804	C₂×Dic₁₄	C₂³×C₃	1	1	yes	characteristic, complemented
805	C₂×Dic₁₄	C₂³×C₃	1	1	yes	characteristic, complemented
806	C₇×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
807	C₇×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
808	C₇×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
809	C₇×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
810	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
811	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
812	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
813	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
814	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
815	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
816	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
817	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
818	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
819	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
820	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
821	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
822	C₄²×C₇	C₂³×C₃	1	1	yes	characteristic, complemented
823	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
824	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
825	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
826	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
827	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
828	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
829	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
830	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
831	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
832	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
833	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
834	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
835	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
836	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
837	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
838	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
839	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
840	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
841	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
842	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
843	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
844	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
845	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
846	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
847	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
848	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
849	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
850	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
851	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
852	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
853	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
854	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
855	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
856	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
857	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
858	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
859	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
860	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
861	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
862	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
863	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
864	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
865	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
866	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
867	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
868	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
869	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
870	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
871	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
872	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
873	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
874	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
875	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
876	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
877	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
878	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
879	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
880	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
881	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
882	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
883	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
884	C₂⁵×C₃	—	7	1	no	—
885	C₂×C₃×#41	—	7	1	no	—
886	C₂×C₃×#41	—	7	1	no	—
887	C₂×C₃×#41	—	7	1	no	—
888	C₂²×C₃×D₄	—	7	1	no	—
889	C₂²×C₃×D₄	—	7	1	no	—
890	C₂²×C₃×D₄	—	7	1	no	—
891	C₂²×C₃×D₄	—	7	1	no	—
892	C₂²×C₃×D₄	—	7	1	no	—
893	C₂²×C₃×D₄	—	7	1	no	—
894	C₂²×C₃×D₄	—	7	1	no	—
895	C₂²×C₃×D₄	—	7	1	no	—
896	C₂²×C₃×D₄	—	7	1	no	—
897	C₂²×C₃×D₄	—	7	1	no	—
898	C₂²×C₃×D₄	—	7	1	no	—
899	C₂²×C₃×D₄	—	7	1	no	—
900	C₃×#127	—	7	1	no	—
901	C₃×#127	—	7	1	no	—
902	C₃×#127	—	7	1	no	—
903	C₃×#127	—	7	1	no	—
904	C₃×#126	—	7	1	no	—
905	C₃×#126	—	7	1	no	—
906	C₃×#126	—	7	1	no	—
907	C₃×#126	—	7	1	no	—
908	C₃×#126	—	7	1	no	—
909	C₃×#126	—	7	1	no	—
910	C₃×#126	—	7	1	no	—
911	C₃×#126	—	7	1	no	—
912	C₃×#124	—	7	1	no	—
913	C₃×#124	—	7	1	no	—
914	C₃×#124	—	7	1	no	—
915	C₃×#124	—	7	1	no	—
916	C₃×#124	—	7	1	no	—
917	C₃×#124	—	7	1	no	—
918	C₃×#124	—	7	1	no	—
919	C₃×#124	—	7	1	no	—
920	C₃×#124	—	7	1	no	—
921	C₃×#124	—	7	1	no	—
922	C₃×#124	—	7	1	no	—
923	C₃×#124	—	7	1	no	—
924	C₃×#123	—	7	1	no	—
925	C₃×#123	—	7	1	no	—
926	C₃×#123	—	7	1	no	—
927	C₃×#123	—	7	1	no	—
928	C₃×#123	—	7	1	no	—
929	C₃×#123	—	7	1	no	—
930	C₃×#123	—	7	1	no	—
931	C₃×#123	—	7	1	no	—
932	C₃×#123	—	7	1	no	—
933	C₃×#123	—	7	1	no	—
934	C₃×#123	—	7	1	no	—
935	C₃×#123	—	7	1	no	—
936	C₃×#123	—	7	1	no	—
937	C₃×#123	—	7	1	no	—
938	C₃×#123	—	7	1	no	—
939	C₃×#123	—	7	1	no	—
940	C₃×#123	—	7	1	no	—
941	C₃×#123	—	7	1	no	—
942	C₃×C₂²⋊Q₈	—	7	1	no	—
943	C₃×C₂²⋊Q₈	—	7	1	no	—
944	C₃×C₂²⋊Q₈	—	7	1	no	—
945	C₃×C₂²⋊Q₈	—	7	1	no	—
946	C₃×C₂²⋊Q₈	—	7	1	no	—
947	C₃×C₂²⋊Q₈	—	7	1	no	—
948	C₃×#121	—	7	1	no	—
949	C₃×#121	—	7	1	no	—
950	C₃×#121	—	7	1	no	—
951	C₃×#121	—	7	1	no	—
952	C₃×#121	—	7	1	no	—
953	C₃×#121	—	7	1	no	—
954	C₃×#121	—	7	1	no	—
955	C₃×#121	—	7	1	no	—
956	C₃×#121	—	7	1	no	—
957	C₃×#121	—	7	1	no	—
958	C₃×#121	—	7	1	no	—
959	C₃×#121	—	7	1	no	—
960	C₃×#121	—	7	1	no	—
961	C₃×#121	—	7	1	no	—
962	C₃×#121	—	7	1	no	—
963	C₃×#121	—	7	1	no	—
964	C₃×#121	—	7	1	no	—
965	C₃×#121	—	7	1	no	—
966	C₃×#121	—	7	1	no	—
967	C₃×#121	—	7	1	no	—
968	C₃×#121	—	7	1	no	—
969	C₃×#121	—	7	1	no	—
970	C₃×#121	—	7	1	no	—
971	C₃×#121	—	7	1	no	—
972	C₃×#121	—	7	1	no	—
973	C₃×#121	—	7	1	no	—
974	C₃×#121	—	7	1	no	—
975	C₃×#121	—	7	1	no	—
976	C₃×#121	—	7	1	no	—
977	C₃×#121	—	7	1	no	—
978	C₃×#120	—	7	1	no	—
979	C₃×#120	—	7	1	no	—
980	C₃×#120	—	7	1	no	—
981	C₃×#120	—	7	1	no	—
982	C₃×#120	—	7	1	no	—
983	C₃×#120	—	7	1	no	—
984	C₃×#120	—	7	1	no	—
985	C₃×#120	—	7	1	no	—
986	C₃×#120	—	7	1	no	—
987	C₃×#120	—	7	1	no	—
988	C₃×#120	—	7	1	no	—
989	C₃×#120	—	7	1	no	—
990	C₃×#120	—	7	1	no	—
991	C₃×#120	—	7	1	no	—
992	C₃×#120	—	7	1	no	—
993	C₃×#120	—	7	1	no	—
994	C₃×#120	—	7	1	no	—
995	C₃×#120	—	7	1	no	—
996	C₃×#120	—	7	1	no	—
997	C₃×#120	—	7	1	no	—
998	C₃×#120	—	7	1	no	—
999	C₃×#120	—	7	1	no	—
1000	C₃×#120	—	7	1	no	—
1001	C₃×#120	—	7	1	no	—
1002	C₃×#120	—	7	1	no	—
1003	C₃×#120	—	7	1	no	—
1004	C₃×#120	—	7	1	no	—
1005	C₃×#120	—	7	1	no	—
1006	C₃×#120	—	7	1	no	—
1007	C₃×#120	—	7	1	no	—
1008	C₃×#120	—	7	1	no	—
1009	C₃×#120	—	7	1	no	—
1010	C₃×#120	—	7	1	no	—
1011	C₃×#120	—	7	1	no	—
1012	C₃×C₄×D₄	—	7	1	no	—
1013	C₃×C₄×D₄	—	7	1	no	—
1014	C₃×C₄×D₄	—	7	1	no	—
1015	C₃×C₄×D₄	—	7	1	no	—
1016	C₃×C₄×D₄	—	7	1	no	—
1017	C₃×C₄×D₄	—	7	1	no	—
1018	C₃×C₄×D₄	—	7	1	no	—
1019	C₃×C₄×D₄	—	7	1	no	—
1020	C₃×C₄×D₄	—	7	1	no	—
1021	C₃×C₄×D₄	—	7	1	no	—
1022	C₃×C₄×D₄	—	7	1	no	—
1023	C₃×C₄×D₄	—	7	1	no	—
1024	C₃×#117	—	7	1	no	—
1025	C₃×#117	—	7	1	no	—
1026	C₃×#117	—	7	1	no	—
1027	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1028	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1029	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1030	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1031	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1032	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1033	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1034	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1035	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1036	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1037	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1038	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1039	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1040	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1041	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1042	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1043	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1044	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1045	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1046	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1047	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1048	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1049	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1050	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1051	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1052	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1053	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1054	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1055	C₂²×ΓL(1,𝔽₈)	—	4	4	no	—
1056	C₂²×ΓL(1,𝔽₈)	—	8	2	no	—
1057	C₂²×ΓL(1,𝔽₈)	H(5,𝔽₂)	1	2	yes	—
1058	C₂²×ΓL(1,𝔽₈)	H(5,𝔽₂)	1	2	yes	—
1059	C₂²×ΓL(1,𝔽₈)	C₂⁵	1	1	yes	characteristic
1060	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1061	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1062	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1063	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1064	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1065	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1066	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1067	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1068	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1069	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1070	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1071	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1072	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1073	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1074	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1075	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1076	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1077	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1078	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1079	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1080	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1081	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1082	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1083	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1084	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1085	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1086	C₂×AGL(1,𝔽₇)	—	8	2	no	—
1087	C₂×AGL(1,𝔽₇)	—	8	2	no	—
1088	C₂×AGL(1,𝔽₇)	—	8	2	no	—
1089	C₂×AGL(1,𝔽₇)	H(5,𝔽₂)	1	2	yes	—
1090	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1091	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1092	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1093	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1094	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1095	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1096	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1097	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1098	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1099	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1100	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1101	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1102	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1103	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1104	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1105	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1106	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1107	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1108	H(3,𝔽₄)	—	7	1	no	—
1109	#560	—	7	1	no	—
1110	#560	—	7	1	no	—
1111	#560	—	7	1	no	—
1112	#551	—	7	1	no	—
1113	#551	—	7	1	no	—
1114	#551	—	7	1	no	—
1115	#546	—	7	1	no	—
1116	#546	—	7	1	no	—
1117	#546	—	7	1	no	—
1118	#546	—	7	1	no	—
1119	#546	—	7	1	no	—
1120	#546	AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1121	D₄²	—	7	1	no	—
1122	D₄²	—	7	1	no	—
1123	D₄²	—	7	1	no	—
1124	#538	—	7	1	no	—
1125	#538	—	7	1	no	—
1126	#538	—	7	1	no	—
1127	#538	—	7	1	no	—
1128	#538	—	7	1	no	—
1129	#538	—	7	1	no	—
1130	#535	—	7	1	no	—
1131	#535	—	7	1	no	—
1132	#535	—	7	1	no	—
1133	#534	—	7	1	no	—
1134	#534	—	7	1	no	—
1135	#534	—	7	1	no	—
1136	C₂×#120	—	7	1	no	—
1137	C₂×#120	—	7	1	no	—
1138	C₂×#120	—	7	1	no	—
1139	C₂³×C₇	—	2	2	no	—
1140	C₂³×C₇	—	2	2	no	—
1141	C₂³×C₇	—	2	2	no	—
1142	C₂³×C₇	—	4	1	no	—
1143	C₂³×C₇	—	4	1	no	—
1144	C₂³×C₇	—	4	1	no	—
1145	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1146	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1147	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1148	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1149	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1150	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1151	C₂²×D₇	—	2	2	no	—
1152	C₂²×D₇	—	2	2	no	—
1153	C₂²×D₇	—	2	2	no	—
1154	C₂²×D₇	—	2	2	no	—
1155	C₂²×D₇	—	2	2	no	—
1156	C₂²×D₇	—	2	2	no	—
1157	C₂²×D₇	—	2	2	no	—
1158	C₂²×D₇	—	2	2	no	—
1159	C₂²×D₇	—	2	2	no	—
1160	C₂²×D₇	—	4	1	no	—
1161	C₂²×D₇	—	4	1	no	—
1162	C₂²×D₇	—	4	1	no	—
1163	C₂²×D₇	—	4	1	no	—
1164	C₂²×D₇	—	4	1	no	—
1165	C₂²×D₇	—	4	1	no	—
1166	C₂²×D₇	—	4	1	no	—
1167	C₂²×D₇	—	4	1	no	—
1168	C₂²×D₇	—	4	1	no	—
1169	C₂²×D₇	—	4	1	no	—
1170	C₂²×D₇	—	4	1	no	—
1171	C₂²×D₇	—	4	1	no	—
1172	C₂²×D₇	—	4	1	no	—
1173	C₂²×D₇	—	4	1	no	—
1174	C₂²×D₇	—	4	1	no	—
1175	C₂²×D₇	—	4	1	no	—
1176	C₂²×D₇	—	4	1	no	—
1177	C₂²×D₇	—	4	1	no	—
1178	C₂²×D₇	—	4	16	no	—
1179	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1180	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1181	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1182	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1183	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1184	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1185	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1186	C₇×Q₈	—	4	1	no	—
1187	C₇×D₄	—	2	2	no	—
1188	C₇×D₄	—	2	2	no	—
1189	C₇×D₄	—	2	2	no	—
1190	C₇×D₄	—	2	2	no	—
1191	C₇×D₄	—	4	1	no	—
1192	C₇×D₄	—	4	1	no	—
1193	C₇×D₄	—	4	1	no	—
1194	C₇×D₄	—	4	1	no	—
1195	C₇×D₄	—	4	1	no	—
1196	C₂×C₄×C₇	—	2	2	no	—
1197	C₂×C₄×C₇	—	4	1	no	—
1198	C₂×C₄×C₇	—	4	1	no	—
1199	C₂×C₄×C₇	—	4	1	no	—
1200	C₂×C₄×C₇	—	4	1	no	—
1201	C₂×C₄×C₇	—	4	1	no	—
1202	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1203	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1204	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1205	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1206	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1207	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1208	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1209	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1210	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1211	C₂²⋊D₇	—	2	2	no	—
1212	C₂²⋊D₇	—	2	2	no	—
1213	C₂²⋊D₇	—	2	2	no	—
1214	C₂²⋊D₇	—	2	2	no	—
1215	C₂²⋊D₇	—	2	2	no	—
1216	C₂²⋊D₇	—	2	2	no	—
1217	C₂²⋊D₇	—	4	1	no	—
1218	C₂²⋊D₇	—	4	1	no	—
1219	C₂²⋊D₇	—	4	1	no	—
1220	C₂²⋊D₇	—	4	1	no	—
1221	C₂²⋊D₇	—	4	1	no	—
1222	C₂²⋊D₇	—	4	1	no	—
1223	C₂²⋊D₇	—	4	1	no	—
1224	C₂²⋊D₇	—	4	1	no	—
1225	C₂²⋊D₇	—	4	1	no	—
1226	C₂²⋊D₇	—	4	1	no	—
1227	C₂²⋊D₇	—	4	1	no	—
1228	C₂²⋊D₇	—	4	1	no	—
1229	C₂²⋊D₇	—	4	1	no	—
1230	C₂²⋊D₇	—	4	1	no	—
1231	C₂²⋊D₇	—	4	1	no	—
1232	C₂²⋊D₇	—	4	1	no	—
1233	C₂²⋊D₇	—	4	1	no	—
1234	C₂²⋊D₇	—	4	1	no	—
1235	C₂×Dic₇	—	2	2	no	—
1236	C₂×Dic₇	—	4	1	no	—
1237	C₂×Dic₇	—	4	1	no	—
1238	C₂×Dic₇	—	4	1	no	—
1239	C₂×Dic₇	—	4	1	no	—
1240	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1241	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1242	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1243	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1244	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1245	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1246	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1247	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1248	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1249	D₂₈	—	2	2	no	—
1250	D₂₈	—	2	2	no	—
1251	D₂₈	—	4	1	no	—
1252	D₂₈	—	4	1	no	—
1253	D₂₈	—	4	1	no	—
1254	D₂₈	—	4	1	no	—
1255	D₂₈	—	4	1	no	—
1256	D₂₈	—	4	1	no	—
1257	D₂₈	—	4	1	no	—
1258	D₂₈	—	4	1	no	—
1259	D₂₈	—	4	1	no	—
1260	D₂₈	—	4	1	no	—
1261	C₄×D₇	—	2	2	no	—
1262	C₄×D₇	—	4	1	no	—
1263	C₄×D₇	—	4	1	no	—
1264	C₄×D₇	—	4	1	no	—
1265	C₄×D₇	—	4	1	no	—
1266	C₄×D₇	—	4	1	no	—
1267	C₄×D₇	—	4	1	no	—
1268	Dic₁₄	—	4	1	no	—
1269	Dic₁₄	—	4	1	no	—
1270	C₂⁴×C₃	—	7	1	no	—
1271	C₂⁴×C₃	—	7	1	no	—
1272	C₂⁴×C₃	—	7	1	no	—
1273	C₂⁴×C₃	—	7	1	no	—
1274	C₂⁴×C₃	—	7	1	no	—
1275	C₂⁴×C₃	—	7	1	no	—
1276	C₂⁴×C₃	—	7	1	no	—
1277	C₂⁴×C₃	—	7	1	no	—
1278	C₂⁴×C₃	—	7	1	no	—
1279	C₂⁴×C₃	—	7	1	no	—
1280	C₂⁴×C₃	—	7	1	no	—
1281	C₂⁴×C₃	—	28	2	no	—
1282	C₂⁴×C₃	—	28	2	no	—
1283	C₂⁴×C₃	—	28	2	no	—
1284	C₃×#41	—	28	2	no	—
1285	C₃×#41	—	28	2	no	—
1286	C₃×#41	—	28	2	no	—
1287	C₂×C₃×Q₈	—	7	1	no	—
1288	C₂×C₃×Q₈	—	7	1	no	—
1289	C₂×C₃×Q₈	—	7	1	no	—
1290	C₂×C₃×D₄	—	7	1	no	—
1291	C₂×C₃×D₄	—	7	1	no	—
1292	C₂×C₃×D₄	—	7	1	no	—
1293	C₂×C₃×D₄	—	7	1	no	—
1294	C₂×C₃×D₄	—	7	1	no	—
1295	C₂×C₃×D₄	—	7	1	no	—
1296	C₂×C₃×D₄	—	7	1	no	—
1297	C₂×C₃×D₄	—	7	1	no	—
1298	C₂×C₃×D₄	—	7	1	no	—
1299	C₂×C₃×D₄	—	7	1	no	—
1300	C₂×C₃×D₄	—	7	1	no	—
1301	C₂×C₃×D₄	—	7	1	no	—
1302	C₂×C₃×D₄	—	7	1	no	—
1303	C₂×C₃×D₄	—	7	1	no	—
1304	C₂×C₃×D₄	—	7	1	no	—
1305	C₂×C₃×D₄	—	7	1	no	—
1306	C₂×C₃×D₄	—	7	1	no	—
1307	C₂×C₃×D₄	—	7	1	no	—
1308	C₂×C₃×D₄	—	7	1	no	—
1309	C₂×C₃×D₄	—	7	1	no	—
1310	C₂×C₃×D₄	—	7	1	no	—
1311	C₂×C₃×D₄	—	7	1	no	—
1312	C₂×C₃×D₄	—	7	1	no	—
1313	C₂×C₃×D₄	—	7	1	no	—
1314	C₂×C₃×D₄	—	7	1	no	—
1315	C₂×C₃×D₄	—	7	1	no	—
1316	C₂×C₃×D₄	—	7	1	no	—
1317	C₂×C₃×D₄	—	7	1	no	—
1318	C₂×C₃×D₄	—	7	1	no	—
1319	C₂×C₃×D₄	—	7	1	no	—
1320	C₂×C₃×D₄	—	7	1	no	—
1321	C₂×C₃×D₄	—	7	1	no	—
1322	C₂×C₃×D₄	—	7	1	no	—
1323	C₂×C₃×D₄	—	7	1	no	—
1324	C₂×C₃×D₄	—	7	1	no	—
1325	C₂×C₃×D₄	—	7	1	no	—
1326	C₂×C₃×D₄	—	7	1	no	—
1327	C₂×C₃×D₄	—	7	1	no	—
1328	C₂×C₃×D₄	—	7	1	no	—
1329	C₂×C₃×D₄	—	7	1	no	—
1330	C₂×C₃×D₄	—	7	1	no	—
1331	C₂×C₃×D₄	—	7	1	no	—
1332	C₂×C₃×D₄	—	7	1	no	—
1333	C₂×C₃×D₄	—	7	1	no	—
1334	C₂×C₃×D₄	—	7	1	no	—
1335	C₂×C₃×D₄	—	28	2	no	—
1336	C₂×C₃×D₄	—	28	2	no	—
1337	C₂×C₃×D₄	—	28	2	no	—
1338	C₂×C₃×D₄	—	28	2	no	—
1339	C₂×C₃×D₄	—	28	2	no	—
1340	C₂×C₃×D₄	—	28	2	no	—
1341	C₂×C₃×D₄	—	28	2	no	—
1342	C₂×C₃×D₄	—	28	2	no	—
1343	C₂×C₃×D₄	—	28	2	no	—
1344	C₂×C₃×D₄	—	28	2	no	—
1345	C₂×C₃×D₄	—	28	2	no	—
1346	C₂×C₃×D₄	—	28	2	no	—
1347	C₂²×C₃×C₄	—	7	1	no	—
1348	C₂²×C₃×C₄	—	7	1	no	—
1349	C₂²×C₃×C₄	—	7	1	no	—
1350	C₂²×C₃×C₄	—	7	1	no	—
1351	C₂²×C₃×C₄	—	7	1	no	—
1352	C₂²×C₃×C₄	—	7	1	no	—
1353	C₂²×C₃×C₄	—	7	1	no	—
1354	C₂²×C₃×C₄	—	7	1	no	—
1355	C₂²×C₃×C₄	—	7	1	no	—
1356	C₂²×C₃×C₄	—	7	1	no	—
1357	C₂²×C₃×C₄	—	7	1	no	—
1358	C₂²×C₃×C₄	—	7	1	no	—
1359	C₂²×C₃×C₄	—	7	1	no	—
1360	C₂²×C₃×C₄	—	7	1	no	—
1361	C₂²×C₃×C₄	—	7	1	no	—
1362	C₂²×C₃×C₄	—	7	1	no	—
1363	C₂²×C₃×C₄	—	7	1	no	—
1364	C₂²×C₃×C₄	—	7	1	no	—
1365	C₃×C₄⋊C₄	—	7	1	no	—
1366	C₃×C₄⋊C₄	—	7	1	no	—
1367	C₃×C₄⋊C₄	—	7	1	no	—
1368	C₃×C₄⋊C₄	—	7	1	no	—
1369	C₃×C₄⋊C₄	—	7	1	no	—
1370	C₃×C₄⋊C₄	—	7	1	no	—
1371	C₃×C₄⋊C₄	—	7	1	no	—
1372	C₃×C₄⋊C₄	—	7	1	no	—
1373	C₃×C₄⋊C₄	—	7	1	no	—
1374	C₃×C₄⋊C₄	—	7	1	no	—
1375	C₃×C₄⋊C₄	—	7	1	no	—
1376	C₃×C₄⋊C₄	—	7	1	no	—
1377	C₃×C₄⋊C₄	—	7	1	no	—
1378	C₃×C₄⋊C₄	—	7	1	no	—
1379	C₃×C₄⋊C₄	—	7	1	no	—
1380	C₃×C₄⋊C₄	—	7	1	no	—
1381	C₃×C₄⋊C₄	—	7	1	no	—
1382	C₃×C₄⋊C₄	—	7	1	no	—
1383	C₃×C₂²⋊C₄	—	7	1	no	—
1384	C₃×C₂²⋊C₄	—	7	1	no	—
1385	C₃×C₂²⋊C₄	—	7	1	no	—
1386	C₃×C₂²⋊C₄	—	7	1	no	—
1387	C₃×C₂²⋊C₄	—	7	1	no	—
1388	C₃×C₂²⋊C₄	—	7	1	no	—
1389	C₃×C₂²⋊C₄	—	7	1	no	—
1390	C₃×C₂²⋊C₄	—	7	1	no	—
1391	C₃×C₂²⋊C₄	—	7	1	no	—
1392	C₃×C₂²⋊C₄	—	7	1	no	—
1393	C₃×C₂²⋊C₄	—	7	1	no	—
1394	C₃×C₂²⋊C₄	—	7	1	no	—
1395	C₃×C₂²⋊C₄	—	7	1	no	—
1396	C₃×C₂²⋊C₄	—	7	1	no	—
1397	C₃×C₂²⋊C₄	—	7	1	no	—
1398	C₃×C₂²⋊C₄	—	7	1	no	—
1399	C₃×C₂²⋊C₄	—	7	1	no	—
1400	C₃×C₂²⋊C₄	—	7	1	no	—
1401	C₃×C₂²⋊C₄	—	7	1	no	—
1402	C₃×C₂²⋊C₄	—	7	1	no	—
1403	C₃×C₂²⋊C₄	—	7	1	no	—
1404	C₃×C₂²⋊C₄	—	7	1	no	—
1405	C₃×C₂²⋊C₄	—	7	1	no	—
1406	C₃×C₂²⋊C₄	—	7	1	no	—
1407	C₃×C₂²⋊C₄	—	7	1	no	—
1408	C₃×C₂²⋊C₄	—	7	1	no	—
1409	C₃×C₂²⋊C₄	—	7	1	no	—
1410	C₃×C₂²⋊C₄	—	7	1	no	—
1411	C₃×C₂²⋊C₄	—	7	1	no	—
1412	C₃×C₂²⋊C₄	—	7	1	no	—
1413	C₃×C₂²⋊C₄	—	7	1	no	—
1414	C₃×C₂²⋊C₄	—	7	1	no	—
1415	C₃×C₂²⋊C₄	—	7	1	no	—
1416	C₃×C₂²⋊C₄	—	7	1	no	—
1417	C₃×C₂²⋊C₄	—	7	1	no	—
1418	C₃×C₂²⋊C₄	—	7	1	no	—
1419	C₃×C₂²⋊C₄	—	7	1	no	—
1420	C₃×C₂²⋊C₄	—	7	1	no	—
1421	C₃×C₂²⋊C₄	—	7	1	no	—
1422	C₃×C₂²⋊C₄	—	7	1	no	—
1423	C₃×C₂²⋊C₄	—	7	1	no	—
1424	C₃×C₂²⋊C₄	—	7	1	no	—
1425	C₃×C₂²⋊C₄	—	7	1	no	—
1426	C₃×C₂²⋊C₄	—	7	1	no	—
1427	C₃×C₂²⋊C₄	—	7	1	no	—
1428	C₃×C₂²⋊C₄	—	7	1	no	—
1429	C₃×C₂²⋊C₄	—	7	1	no	—
1430	C₃×C₂²⋊C₄	—	7	1	no	—
1431	C₃×C₂²⋊C₄	—	7	1	no	—
1432	C₃×C₂²⋊C₄	—	7	1	no	—
1433	C₃×C₂²⋊C₄	—	7	1	no	—
1434	C₃×C₂²⋊C₄	—	7	1	no	—
1435	C₃×C₂²⋊C₄	—	7	1	no	—
1436	C₃×C₂²⋊C₄	—	7	1	no	—
1437	C₃×C₄²	—	7	1	no	—
1438	C₃×C₄²	—	7	1	no	—
1439	C₃×C₄²	—	7	1	no	—
1440	C₃×C₄²	—	7	1	no	—
1441	C₃×C₄²	—	7	1	no	—
1442	C₃×C₄²	—	7	1	no	—
1443	C₂×ΓL(1,𝔽₈)	—	2	2	no	—
1444	C₂×ΓL(1,𝔽₈)	—	2	2	no	—
1445	C₂×ΓL(1,𝔽₈)	—	4	1	no	—
1446	C₂×ΓL(1,𝔽₈)	—	4	1	no	—
1447	C₂×ΓL(1,𝔽₈)	—	4	1	no	—
1448	C₂×ΓL(1,𝔽₈)	—	4	1	no	—
1449	C₂×ΓL(1,𝔽₈)	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1450	C₂×ΓL(1,𝔽₈)	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1451	C₂×ΓL(1,𝔽₈)	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1452	AGL(1,𝔽₇)	—	2	2	no	—
1453	AGL(1,𝔽₇)	—	4	1	no	—
1454	AGL(1,𝔽₇)	—	4	1	no	—
1455	AGL(1,𝔽₇)	—	4	1	no	—
1456	AGL(1,𝔽₇)	—	4	1	no	—
1457	AGL(1,𝔽₇)	—	4	1	no	—
1458	AGL(1,𝔽₇)	—	4	1	no	—
1459	C₂⁵	—	7	1	no	—
1460	C₂×#41	—	7	1	no	—
1461	C₂×#41	—	7	1	no	—
1462	C₂×#41	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1463	C₂²×D₄	—	7	1	no	—
1464	C₂²×D₄	—	7	1	no	—
1465	C₂²×D₄	—	7	1	no	—
1466	C₂²×D₄	—	7	1	no	—
1467	C₂²×D₄	—	7	1	no	—
1468	C₂²×D₄	—	7	1	no	—
1469	C₂²×D₄	—	7	1	no	—
1470	C₂²×D₄	—	7	1	no	—
1471	C₂²×D₄	—	7	1	no	—
1472	C₂²×D₄	—	7	1	no	—
1473	C₂²×D₄	—	7	1	no	—
1474	C₂²×D₄	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1475	#127	—	7	1	no	—
1476	#127	—	7	1	no	—
1477	#127	—	7	1	no	—
1478	#127	—	7	1	no	—
1479	#126	—	7	1	no	—
1480	#126	—	7	1	no	—
1481	#126	—	7	1	no	—
1482	#126	—	7	1	no	—
1483	#126	—	7	1	no	—
1484	#126	—	7	1	no	—
1485	#126	—	7	1	no	—
1486	#126	—	7	1	no	—
1487	#124	—	7	1	no	—
1488	#124	—	7	1	no	—
1489	#124	—	7	1	no	—
1490	#124	—	7	1	no	—
1491	#124	—	7	1	no	—
1492	#124	—	7	1	no	—
1493	#124	—	7	1	no	—
1494	#124	—	7	1	no	—
1495	#124	—	7	1	no	—
1496	#124	—	7	1	no	—
1497	#124	—	7	1	no	—
1498	#124	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1499	#123	—	7	1	no	—
1500	#123	—	7	1	no	—
1501	#123	—	7	1	no	—
1502	#123	—	7	1	no	—
1503	#123	—	7	1	no	—
1504	#123	—	7	1	no	—
1505	#123	—	7	1	no	—
1506	#123	—	7	1	no	—
1507	#123	—	7	1	no	—
1508	#123	—	7	1	no	—
1509	#123	—	7	1	no	—
1510	#123	—	7	1	no	—
1511	#123	—	7	1	no	—
1512	#123	—	7	1	no	—
1513	#123	—	7	1	no	—
1514	#123	—	7	1	no	—
1515	#123	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1516	#123	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1517	C₂²⋊Q₈	—	7	1	no	—
1518	C₂²⋊Q₈	—	7	1	no	—
1519	C₂²⋊Q₈	—	7	1	no	—
1520	C₂²⋊Q₈	—	7	1	no	—
1521	C₂²⋊Q₈	—	7	1	no	—
1522	C₂²⋊Q₈	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1523	#121	—	7	1	no	—
1524	#121	—	7	1	no	—
1525	#121	—	7	1	no	—
1526	#121	—	7	1	no	—
1527	#121	—	7	1	no	—
1528	#121	—	7	1	no	—
1529	#121	—	7	1	no	—
1530	#121	—	7	1	no	—
1531	#121	—	7	1	no	—
1532	#121	—	7	1	no	—
1533	#121	—	7	1	no	—
1534	#121	—	7	1	no	—
1535	#121	—	7	1	no	—
1536	#121	—	7	1	no	—
1537	#121	—	7	1	no	—
1538	#121	—	7	1	no	—
1539	#121	—	7	1	no	—
1540	#121	—	7	1	no	—
1541	#121	—	7	1	no	—
1542	#121	—	7	1	no	—
1543	#121	—	7	1	no	—
1544	#121	—	7	1	no	—
1545	#121	—	7	1	no	—
1546	#121	—	7	1	no	—
1547	#121	—	7	1	no	—
1548	#121	—	7	1	no	—
1549	#121	—	7	1	no	—
1550	#121	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1551	#121	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1552	#121	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1553	#120	—	7	1	no	—
1554	#120	—	7	1	no	—
1555	#120	—	7	1	no	—
1556	#120	—	7	1	no	—
1557	#120	—	7	1	no	—
1558	#120	—	7	1	no	—
1559	#120	—	7	1	no	—
1560	#120	—	7	1	no	—
1561	#120	—	7	1	no	—
1562	#120	—	7	1	no	—
1563	#120	—	7	1	no	—
1564	#120	—	7	1	no	—
1565	#120	—	7	1	no	—
1566	#120	—	7	1	no	—
1567	#120	—	7	1	no	—
1568	#120	—	7	1	no	—
1569	#120	—	7	1	no	—
1570	#120	—	7	1	no	—
1571	#120	—	7	1	no	—
1572	#120	—	7	1	no	—
1573	#120	—	7	1	no	—
1574	#120	—	7	1	no	—
1575	#120	—	7	1	no	—
1576	#120	—	7	1	no	—
1577	#120	—	7	1	no	—
1578	#120	—	7	1	no	—
1579	#120	—	7	1	no	—
1580	#120	—	7	1	no	—
1581	#120	—	7	1	no	—
1582	#120	—	7	1	no	—
1583	#120	—	7	1	no	—
1584	#120	—	7	1	no	—
1585	#120	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1586	#120	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1587	C₄×D₄	—	7	1	no	—
1588	C₄×D₄	—	7	1	no	—
1589	C₄×D₄	—	7	1	no	—
1590	C₄×D₄	—	7	1	no	—
1591	C₄×D₄	—	7	1	no	—
1592	C₄×D₄	—	7	1	no	—
1593	C₄×D₄	—	7	1	no	—
1594	C₄×D₄	—	7	1	no	—
1595	C₄×D₄	—	7	1	no	—
1596	C₄×D₄	—	7	1	no	—
1597	C₄×D₄	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1598	C₄×D₄	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1599	#117	—	7	1	no	—
1600	#117	—	7	1	no	—
1601	#117	—	7	1	no	—
1602	C₂×C₂²⋊C₄	—	7	1	no	—
1603	C₂×C₂²⋊C₄	—	7	1	no	—
1604	C₂×C₂²⋊C₄	—	7	1	no	—
1605	C₂×C₂²⋊C₄	—	7	1	no	—
1606	C₂×C₂²⋊C₄	—	7	1	no	—
1607	C₂×C₂²⋊C₄	—	7	1	no	—
1608	C₂×C₂²⋊C₄	—	7	1	no	—
1609	C₂×C₂²⋊C₄	—	7	1	no	—
1610	C₂×C₂²⋊C₄	—	7	1	no	—
1611	C₂×C₂²⋊C₄	—	7	1	no	—
1612	C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1613	C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1614	C₂²×C₇	—	2	1	no	—
1615	C₂²×C₇	—	2	1	no	—
1616	C₂²×C₇	—	2	1	no	—
1617	C₂²×C₇	—	2	1	no	—
1618	C₂²×C₇	—	2	1	no	—
1619	C₂²×C₇	—	2	1	no	—
1620	C₂²×C₇	—	2	1	no	—
1621	C₂²×C₇	—	2	1	no	—
1622	C₂²×C₇	—	2	1	no	—
1623	C₂²×C₇	—	2	1	no	—
1624	C₂²×C₇	—	2	1	no	—
1625	C₂²×C₇	—	2	1	no	—
1626	C₂²×C₇	—	2	1	no	—
1627	C₂²×C₇	—	2	1	no	—
1628	C₂²×C₇	—	2	1	no	—
1629	C₂²×C₇	—	2	1	no	—
1630	C₂²×C₇	—	4	4	no	—
1631	C₂²×C₇	—	8	2	no	—
1632	C₂²×C₇	C₃×H(5,𝔽₂)	1	2	yes	—
1633	C₂²×C₇	C₃×H(5,𝔽₂)	1	2	yes	—
1634	C₂²×C₇	C₂⁵×C₃	1	1	yes	characteristic
1635	C₂×D₇	—	2	1	no	—
1636	C₂×D₇	—	2	1	no	—
1637	C₂×D₇	—	2	1	no	—
1638	C₂×D₇	—	2	1	no	—
1639	C₂×D₇	—	2	1	no	—
1640	C₂×D₇	—	2	1	no	—
1641	C₂×D₇	—	2	1	no	—
1642	C₂×D₇	—	2	1	no	—
1643	C₂×D₇	—	2	1	no	—
1644	C₂×D₇	—	2	1	no	—
1645	C₂×D₇	—	2	1	no	—
1646	C₂×D₇	—	2	1	no	—
1647	C₂×D₇	—	2	1	no	—
1648	C₂×D₇	—	2	1	no	—
1649	C₂×D₇	—	2	1	no	—
1650	C₂×D₇	—	2	1	no	—
1651	C₂×D₇	—	2	1	no	—
1652	C₂×D₇	—	2	1	no	—
1653	C₂×D₇	—	2	1	no	—
1654	C₂×D₇	—	2	1	no	—
1655	C₂×D₇	—	4	4	no	—
1656	C₂×D₇	—	4	4	no	—
1657	C₂×D₇	—	4	4	no	—
1658	C₂×D₇	—	4	4	no	—
1659	C₂×D₇	—	4	4	no	—
1660	C₂×D₇	—	4	4	no	—
1661	C₂×D₇	—	8	2	no	—
1662	C₂×D₇	—	8	2	no	—
1663	C₂×D₇	—	8	2	no	—
1664	C₂×D₇	C₃×H(5,𝔽₂)	1	2	yes	—
1665	C₄×C₇	—	2	1	no	—
1666	C₄×C₇	—	2	1	no	—
1667	C₄×C₇	—	2	1	no	—
1668	C₄×C₇	—	2	1	no	—
1669	C₄×C₇	—	2	1	no	—
1670	C₄×C₇	—	2	1	no	—
1671	C₄×C₇	—	2	1	no	—
1672	C₄×C₇	—	2	1	no	—
1673	C₄×C₇	—	2	1	no	—
1674	Dic₇	—	2	1	no	—
1675	Dic₇	—	2	1	no	—
1676	Dic₇	—	2	1	no	—
1677	Dic₇	—	2	1	no	—
1678	Dic₇	—	2	1	no	—
1679	Dic₇	—	2	1	no	—
1680	Dic₇	—	2	1	no	—
1681	Dic₇	—	2	1	no	—
1682	Dic₇	—	2	1	no	—
1683	C₂³×C₃	—	7	1	no	—
1684	C₂³×C₃	—	7	1	no	—
1685	C₂³×C₃	—	7	1	no	—
1686	C₂³×C₃	—	7	1	no	—
1687	C₂³×C₃	—	7	1	no	—
1688	C₂³×C₃	—	7	1	no	—
1689	C₂³×C₃	—	7	1	no	—
1690	C₂³×C₃	—	7	1	no	—
1691	C₂³×C₃	—	7	1	no	—
1692	C₂³×C₃	—	7	1	no	—
1693	C₂³×C₃	—	7	1	no	—
1694	C₂³×C₃	—	7	1	no	—
1695	C₂³×C₃	—	7	1	no	—
1696	C₂³×C₃	—	14	2	no	—
1697	C₂³×C₃	—	14	2	no	—
1698	C₂³×C₃	—	14	2	no	—
1699	C₂³×C₃	—	14	2	no	—
1700	C₂³×C₃	—	14	2	no	—
1701	C₂³×C₃	—	14	2	no	—
1702	C₂³×C₃	—	14	2	no	—
1703	C₂³×C₃	—	14	2	no	—
1704	C₂³×C₃	—	14	2	no	—
1705	C₂³×C₃	—	14	2	no	—
1706	C₂³×C₃	—	14	2	no	—
1707	C₂³×C₃	—	14	2	no	—
1708	C₂³×C₃	—	28	1	no	—
1709	C₂³×C₃	—	28	1	no	—
1710	C₂³×C₃	—	28	1	no	—
1711	C₂³×C₃	—	28	1	no	—
1712	C₂³×C₃	—	28	1	no	—
1713	C₂³×C₃	—	28	1	no	—
1714	C₂³×C₃	—	28	1	no	—
1715	C₂³×C₃	—	28	1	no	—
1716	C₂³×C₃	—	28	1	no	—
1717	C₂³×C₃	—	28	1	no	—
1718	C₂³×C₃	—	28	1	no	—
1719	C₂³×C₃	—	28	1	no	—
1720	C₂³×C₃	—	28	1	no	—
1721	C₂³×C₃	—	28	1	no	—
1722	C₂³×C₃	—	28	1	no	—
1723	C₂³×C₃	—	28	1	no	—
1724	C₂³×C₃	—	28	1	no	—
1725	C₂³×C₃	—	28	1	no	—
1726	C₂³×C₃	—	28	1	no	—
1727	C₂³×C₃	—	28	1	no	—
1728	C₂³×C₃	—	28	1	no	—
1729	C₂³×C₃	—	28	16	no	—
1730	C₃×Q₈	—	28	1	no	—
1731	C₃×Q₈	—	28	1	no	—
1732	C₃×Q₈	—	28	1	no	—
1733	C₃×D₄	—	14	2	no	—
1734	C₃×D₄	—	14	2	no	—
1735	C₃×D₄	—	14	2	no	—
1736	C₃×D₄	—	14	2	no	—
1737	C₃×D₄	—	14	2	no	—
1738	C₃×D₄	—	14	2	no	—
1739	C₃×D₄	—	14	2	no	—
1740	C₃×D₄	—	14	2	no	—
1741	C₃×D₄	—	14	2	no	—
1742	C₃×D₄	—	14	2	no	—
1743	C₃×D₄	—	14	2	no	—
1744	C₃×D₄	—	14	2	no	—
1745	C₃×D₄	—	28	1	no	—
1746	C₃×D₄	—	28	1	no	—
1747	C₃×D₄	—	28	1	no	—
1748	C₃×D₄	—	28	1	no	—
1749	C₃×D₄	—	28	1	no	—
1750	C₃×D₄	—	28	1	no	—
1751	C₃×D₄	—	28	1	no	—
1752	C₃×D₄	—	28	1	no	—
1753	C₃×D₄	—	28	1	no	—
1754	C₃×D₄	—	28	1	no	—
1755	C₃×D₄	—	28	1	no	—
1756	C₃×D₄	—	28	1	no	—
1757	C₃×D₄	—	28	1	no	—
1758	C₃×D₄	—	28	1	no	—
1759	C₃×D₄	—	28	1	no	—
1760	C₃×D₄	—	28	1	no	—
1761	C₃×D₄	—	28	1	no	—
1762	C₃×D₄	—	28	1	no	—
1763	C₃×D₄	—	28	1	no	—
1764	C₃×D₄	—	28	1	no	—
1765	C₃×D₄	—	28	1	no	—
1766	C₃×D₄	—	28	1	no	—
1767	C₃×D₄	—	28	1	no	—
1768	C₃×D₄	—	28	1	no	—
1769	C₃×D₄	—	28	1	no	—
1770	C₃×D₄	—	28	1	no	—
1771	C₃×D₄	—	28	1	no	—
1772	C₃×D₄	—	28	1	no	—
1773	C₃×D₄	—	28	1	no	—
1774	C₃×D₄	—	28	1	no	—
1775	C₃×D₄	—	28	1	no	—
1776	C₃×D₄	—	28	1	no	—
1777	C₃×D₄	—	28	1	no	—
1778	C₂×C₃×C₄	—	7	1	no	—
1779	C₂×C₃×C₄	—	7	1	no	—
1780	C₂×C₃×C₄	—	7	1	no	—
1781	C₂×C₃×C₄	—	7	1	no	—
1782	C₂×C₃×C₄	—	7	1	no	—
1783	C₂×C₃×C₄	—	7	1	no	—
1784	C₂×C₃×C₄	—	7	1	no	—
1785	C₂×C₃×C₄	—	7	1	no	—
1786	C₂×C₃×C₄	—	7	1	no	—
1787	C₂×C₃×C₄	—	7	1	no	—
1788	C₂×C₃×C₄	—	7	1	no	—
1789	C₂×C₃×C₄	—	7	1	no	—
1790	C₂×C₃×C₄	—	7	1	no	—
1791	C₂×C₃×C₄	—	7	1	no	—
1792	C₂×C₃×C₄	—	7	1	no	—
1793	C₂×C₃×C₄	—	7	1	no	—
1794	C₂×C₃×C₄	—	7	1	no	—
1795	C₂×C₃×C₄	—	7	1	no	—
1796	C₂×C₃×C₄	—	14	2	no	—
1797	C₂×C₃×C₄	—	14	2	no	—
1798	C₂×C₃×C₄	—	14	2	no	—
1799	C₂×C₃×C₄	—	28	1	no	—
1800	C₂×C₃×C₄	—	28	1	no	—
1801	C₂×C₃×C₄	—	28	1	no	—
1802	C₂×C₃×C₄	—	28	1	no	—
1803	C₂×C₃×C₄	—	28	1	no	—
1804	C₂×C₃×C₄	—	28	1	no	—
1805	C₂×C₃×C₄	—	28	1	no	—
1806	C₂×C₃×C₄	—	28	1	no	—
1807	C₂×C₃×C₄	—	28	1	no	—
1808	C₂×C₃×C₄	—	28	1	no	—
1809	C₂×C₃×C₄	—	28	1	no	—
1810	C₂×C₃×C₄	—	28	1	no	—
1811	C₂×C₃×C₄	—	28	1	no	—
1812	C₂×C₃×C₄	—	28	1	no	—
1813	C₂×C₃×C₄	—	28	1	no	—
1814	ΓL(1,𝔽₈)	#3532	1	1	yes	characteristic, complemented, Hall
1815	C₂⁴	—	7	1	no	—
1816	C₂⁴	—	7	1	no	—
1817	C₂⁴	—	7	1	no	—
1818	C₂⁴	—	7	1	no	—
1819	C₂⁴	—	7	1	no	—
1820	C₂⁴	—	7	1	no	—
1821	C₂⁴	—	7	1	no	—
1822	C₂⁴	—	7	1	no	—
1823	C₂⁴	—	7	1	no	—
1824	C₂⁴	—	28	2	no	—
1825	C₂⁴	—	28	2	no	—
1826	C₂⁴	—	28	2	no	—
1827	C₂⁴	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1828	C₂⁴	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1829	#41	—	4	2	no	—
1830	#41	—	28	2	no	—
1831	#41	—	28	2	no	—
1832	C₂×Q₈	—	7	1	no	—
1833	C₂×Q₈	—	7	1	no	—
1834	C₂×Q₈	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1835	C₂×D₄	—	4	2	no	—
1836	C₂×D₄	—	7	1	no	—
1837	C₂×D₄	—	7	1	no	—
1838	C₂×D₄	—	7	1	no	—
1839	C₂×D₄	—	7	1	no	—
1840	C₂×D₄	—	7	1	no	—
1841	C₂×D₄	—	7	1	no	—
1842	C₂×D₄	—	7	1	no	—
1843	C₂×D₄	—	7	1	no	—
1844	C₂×D₄	—	7	1	no	—
1845	C₂×D₄	—	7	1	no	—
1846	C₂×D₄	—	7	1	no	—
1847	C₂×D₄	—	7	1	no	—
1848	C₂×D₄	—	7	1	no	—
1849	C₂×D₄	—	7	1	no	—
1850	C₂×D₄	—	7	1	no	—
1851	C₂×D₄	—	7	1	no	—
1852	C₂×D₄	—	7	1	no	—
1853	C₂×D₄	—	7	1	no	—
1854	C₂×D₄	—	7	1	no	—
1855	C₂×D₄	—	7	1	no	—
1856	C₂×D₄	—	7	1	no	—
1857	C₂×D₄	—	7	1	no	—
1858	C₂×D₄	—	7	1	no	—
1859	C₂×D₄	—	7	1	no	—
1860	C₂×D₄	—	7	1	no	—
1861	C₂×D₄	—	7	1	no	—
1862	C₂×D₄	—	7	1	no	—
1863	C₂×D₄	—	7	1	no	—
1864	C₂×D₄	—	7	1	no	—
1865	C₂×D₄	—	7	1	no	—
1866	C₂×D₄	—	7	1	no	—
1867	C₂×D₄	—	7	1	no	—
1868	C₂×D₄	—	7	1	no	—
1869	C₂×D₄	—	7	1	no	—
1870	C₂×D₄	—	7	1	no	—
1871	C₂×D₄	—	7	1	no	—
1872	C₂×D₄	—	28	2	no	—
1873	C₂×D₄	—	28	2	no	—
1874	C₂×D₄	—	28	2	no	—
1875	C₂×D₄	—	28	2	no	—
1876	C₂×D₄	—	28	2	no	—
1877	C₂×D₄	—	28	2	no	—
1878	C₂×D₄	—	28	2	no	—
1879	C₂×D₄	—	28	2	no	—
1880	C₂×D₄	—	28	2	no	—
1881	C₂×D₄	—	28	2	no	—
1882	C₂×D₄	—	28	2	no	—
1883	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1884	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1885	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1886	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1887	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1888	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1889	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1890	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1891	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1892	C₂²×C₄	—	7	1	no	—
1893	C₂²×C₄	—	7	1	no	—
1894	C₂²×C₄	—	7	1	no	—
1895	C₂²×C₄	—	7	1	no	—
1896	C₂²×C₄	—	7	1	no	—
1897	C₂²×C₄	—	7	1	no	—
1898	C₂²×C₄	—	7	1	no	—
1899	C₂²×C₄	—	7	1	no	—
1900	C₂²×C₄	—	7	1	no	—
1901	C₂²×C₄	—	7	1	no	—
1902	C₂²×C₄	—	7	1	no	—
1903	C₂²×C₄	—	7	1	no	—
1904	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1905	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1906	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1907	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1908	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1909	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1910	C₄⋊C₄	—	7	1	no	—
1911	C₄⋊C₄	—	7	1	no	—
1912	C₄⋊C₄	—	7	1	no	—
1913	C₄⋊C₄	—	7	1	no	—
1914	C₄⋊C₄	—	7	1	no	—
1915	C₄⋊C₄	—	7	1	no	—
1916	C₄⋊C₄	—	7	1	no	—
1917	C₄⋊C₄	—	7	1	no	—
1918	C₄⋊C₄	—	7	1	no	—
1919	C₄⋊C₄	—	7	1	no	—
1920	C₄⋊C₄	—	7	1	no	—
1921	C₄⋊C₄	—	7	1	no	—
1922	C₄⋊C₄	—	7	1	no	—
1923	C₄⋊C₄	—	7	1	no	—
1924	C₄⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1925	C₄⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1926	C₄⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1927	C₄⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1928	C₂²⋊C₄	—	7	1	no	—
1929	C₂²⋊C₄	—	7	1	no	—
1930	C₂²⋊C₄	—	7	1	no	—
1931	C₂²⋊C₄	—	7	1	no	—
1932	C₂²⋊C₄	—	7	1	no	—
1933	C₂²⋊C₄	—	7	1	no	—
1934	C₂²⋊C₄	—	7	1	no	—
1935	C₂²⋊C₄	—	7	1	no	—
1936	C₂²⋊C₄	—	7	1	no	—
1937	C₂²⋊C₄	—	7	1	no	—
1938	C₂²⋊C₄	—	7	1	no	—
1939	C₂²⋊C₄	—	7	1	no	—
1940	C₂²⋊C₄	—	7	1	no	—
1941	C₂²⋊C₄	—	7	1	no	—
1942	C₂²⋊C₄	—	7	1	no	—
1943	C₂²⋊C₄	—	7	1	no	—
1944	C₂²⋊C₄	—	7	1	no	—
1945	C₂²⋊C₄	—	7	1	no	—
1946	C₂²⋊C₄	—	7	1	no	—
1947	C₂²⋊C₄	—	7	1	no	—
1948	C₂²⋊C₄	—	7	1	no	—
1949	C₂²⋊C₄	—	7	1	no	—
1950	C₂²⋊C₄	—	7	1	no	—
1951	C₂²⋊C₄	—	7	1	no	—
1952	C₂²⋊C₄	—	7	1	no	—
1953	C₂²⋊C₄	—	7	1	no	—
1954	C₂²⋊C₄	—	7	1	no	—
1955	C₂²⋊C₄	—	7	1	no	—
1956	C₂²⋊C₄	—	7	1	no	—
1957	C₂²⋊C₄	—	7	1	no	—
1958	C₂²⋊C₄	—	7	1	no	—
1959	C₂²⋊C₄	—	7	1	no	—
1960	C₂²⋊C₄	—	7	1	no	—
1961	C₂²⋊C₄	—	7	1	no	—
1962	C₂²⋊C₄	—	7	1	no	—
1963	C₂²⋊C₄	—	7	1	no	—
1964	C₂²⋊C₄	—	7	1	no	—
1965	C₂²⋊C₄	—	7	1	no	—
1966	C₂²⋊C₄	—	7	1	no	—
1967	C₂²⋊C₄	—	7	1	no	—
1968	C₂²⋊C₄	—	7	1	no	—
1969	C₂²⋊C₄	—	7	1	no	—
1970	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1971	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1972	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1973	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1974	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1975	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1976	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1977	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1978	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1979	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1980	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1981	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1982	C₄²	—	7	1	no	—
1983	C₄²	—	7	1	no	—
1984	C₄²	—	7	1	no	—
1985	C₄²	—	7	1	no	—
1986	C₄²	—	7	1	no	—
1987	C₄²	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1988	C₂×C₇	—	2	2	no	—
1989	C₂×C₇	—	2	2	no	—
1990	C₂×C₇	—	4	1	no	—
1991	C₂×C₇	—	4	1	no	—
1992	C₂×C₇	—	4	1	no	—
1993	C₂×C₇	—	4	1	no	—
1994	C₂×C₇	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1995	C₂×C₇	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1996	C₂×C₇	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1997	D₇	—	2	2	no	—
1998	D₇	—	4	1	no	—
1999	D₇	—	4	1	no	—
2000	D₇	—	4	1	no	—
2001	D₇	—	4	1	no	—
2002	D₇	—	4	1	no	—
2003	D₇	—	4	1	no	—
2004	C₂²×C₃	—	7	2	no	—
2005	C₂²×C₃	—	7	2	no	—
2006	C₂²×C₃	—	7	2	no	—
2007	C₂²×C₃	—	7	1	no	—
2008	C₂²×C₃	—	14	1	no	—
2009	C₂²×C₃	—	14	1	no	—
2010	C₂²×C₃	—	14	1	no	—
2011	C₂²×C₃	—	14	1	no	—
2012	C₂²×C₃	—	14	1	no	—
2013	C₂²×C₃	—	14	1	no	—
2014	C₂²×C₃	—	14	1	no	—
2015	C₂²×C₃	—	14	1	no	—
2016	C₂²×C₃	—	14	1	no	—
2017	C₂²×C₃	—	14	1	no	—
2018	C₂²×C₃	—	14	1	no	—
2019	C₂²×C₃	—	14	1	no	—
2020	C₂²×C₃	—	14	1	no	—
2021	C₂²×C₃	—	14	1	no	—
2022	C₂²×C₃	—	14	1	no	—
2023	C₂²×C₃	—	14	1	no	—
2024	C₂²×C₃	—	14	1	no	—
2025	C₂²×C₃	—	14	1	no	—
2026	C₂²×C₃	—	14	1	no	—
2027	C₂²×C₃	—	14	1	no	—
2028	C₂²×C₃	—	14	1	no	—
2029	C₂²×C₃	—	14	1	no	—
2030	C₂²×C₃	—	14	1	no	—
2031	C₂²×C₃	—	14	1	no	—
2032	C₂²×C₃	—	14	1	no	—
2033	C₂²×C₃	—	14	1	no	—
2034	C₂²×C₃	—	14	1	no	—
2035	C₂²×C₃	—	14	1	no	—
2036	C₂²×C₃	—	14	1	no	—
2037	C₂²×C₃	—	14	1	no	—
2038	C₂²×C₃	—	14	1	no	—
2039	C₂²×C₃	—	14	1	no	—
2040	C₂²×C₃	—	14	1	no	—
2041	C₂²×C₃	—	14	1	no	—
2042	C₂²×C₃	—	14	1	no	—
2043	C₂²×C₃	—	14	1	no	—
2044	C₂²×C₃	—	28	4	no	—
2045	C₂²×C₃	—	28	4	no	—
2046	C₂²×C₃	—	28	4	no	—
2047	C₂²×C₃	—	28	4	no	—
2048	C₂²×C₃	—	28	4	no	—
2049	C₂²×C₃	—	28	4	no	—
2050	C₂²×C₃	—	28	4	no	—
2051	C₂²×C₃	—	56	2	no	—
2052	C₂²×C₃	—	56	2	no	—
2053	C₂²×C₃	—	56	2	no	—
2054	C₂²×C₃	—	56	2	no	—
2055	C₃×C₄	—	14	1	no	—
2056	C₃×C₄	—	14	1	no	—
2057	C₃×C₄	—	14	1	no	—
2058	C₃×C₄	—	14	1	no	—
2059	C₃×C₄	—	14	1	no	—
2060	C₃×C₄	—	14	1	no	—
2061	C₃×C₄	—	14	1	no	—
2062	C₃×C₄	—	14	1	no	—
2063	C₃×C₄	—	14	1	no	—
2064	C₃×C₄	—	14	1	no	—
2065	C₃×C₄	—	14	1	no	—
2066	C₃×C₄	—	14	1	no	—
2067	C₃×C₄	—	14	1	no	—
2068	C₃×C₄	—	14	1	no	—
2069	C₃×C₄	—	14	1	no	—
2070	C₃×C₄	—	14	1	no	—
2071	C₃×C₄	—	14	1	no	—
2072	C₃×C₄	—	14	1	no	—
2073	C₂³	—	2	2	no	—
2074	C₂³	—	2	2	no	—
2075	C₂³	—	2	2	no	—
2076	C₂³	—	4	1	no	—
2077	C₂³	—	4	1	no	—
2078	C₂³	—	4	1	no	—
2079	C₂³	—	7	1	no	—
2080	C₂³	—	7	1	no	—
2081	C₂³	—	7	1	no	—
2082	C₂³	—	7	1	no	—
2083	C₂³	—	7	1	no	—
2084	C₂³	—	7	1	no	—
2085	C₂³	—	7	1	no	—
2086	C₂³	—	14	2	no	—
2087	C₂³	—	14	2	no	—
2088	C₂³	—	14	2	no	—
2089	C₂³	—	14	2	no	—
2090	C₂³	—	14	2	no	—
2091	C₂³	—	14	2	no	—
2092	C₂³	—	14	2	no	—
2093	C₂³	—	14	2	no	—
2094	C₂³	—	14	2	no	—
2095	C₂³	—	28	1	no	—
2096	C₂³	—	28	1	no	—
2097	C₂³	—	28	1	no	—
2098	C₂³	—	28	1	no	—
2099	C₂³	—	28	1	no	—
2100	C₂³	—	28	1	no	—
2101	C₂³	—	28	1	no	—
2102	C₂³	—	28	1	no	—
2103	C₂³	—	28	1	no	—
2104	C₂³	—	28	1	no	—
2105	C₂³	—	28	1	no	—
2106	C₂³	—	28	1	no	—
2107	C₂³	—	28	1	no	—
2108	C₂³	—	28	1	no	—
2109	C₂³	—	28	1	no	—
2110	C₂³	—	28	1	no	—
2111	C₂³	—	28	1	no	—
2112	C₂³	—	28	1	no	—
2113	C₂³	—	28	16	no	—
2114	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2115	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2116	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2117	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2118	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2119	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2120	Q₈	—	4	1	no	—
2121	Q₈	—	28	1	no	—
2122	Q₈	—	28	1	no	—
2123	D₄	—	2	2	no	—
2124	D₄	—	2	2	no	—
2125	D₄	—	2	2	no	—
2126	D₄	—	2	2	no	—
2127	D₄	—	4	1	no	—
2128	D₄	—	4	1	no	—
2129	D₄	—	4	1	no	—
2130	D₄	—	4	1	no	—
2131	D₄	—	4	1	no	—
2132	D₄	—	14	2	no	—
2133	D₄	—	14	2	no	—
2134	D₄	—	14	2	no	—
2135	D₄	—	14	2	no	—
2136	D₄	—	14	2	no	—
2137	D₄	—	14	2	no	—
2138	D₄	—	14	2	no	—
2139	D₄	—	14	2	no	—
2140	D₄	—	28	1	no	—
2141	D₄	—	28	1	no	—
2142	D₄	—	28	1	no	—
2143	D₄	—	28	1	no	—
2144	D₄	—	28	1	no	—
2145	D₄	—	28	1	no	—
2146	D₄	—	28	1	no	—
2147	D₄	—	28	1	no	—
2148	D₄	—	28	1	no	—
2149	D₄	—	28	1	no	—
2150	D₄	—	28	1	no	—
2151	D₄	—	28	1	no	—
2152	D₄	—	28	1	no	—
2153	D₄	—	28	1	no	—
2154	D₄	—	28	1	no	—
2155	D₄	—	28	1	no	—
2156	D₄	—	28	1	no	—
2157	D₄	—	28	1	no	—
2158	D₄	—	28	1	no	—
2159	D₄	—	28	1	no	—
2160	D₄	—	28	1	no	—
2161	D₄	—	28	1	no	—
2162	D₄	—	28	1	no	—
2163	D₄	—	28	1	no	—
2164	D₄	—	28	1	no	—
2165	D₄	—	28	1	no	—
2166	D₄	—	28	1	no	—
2167	D₄	—	28	1	no	—
2168	C₂×C₄	—	2	2	no	—
2169	C₂×C₄	—	4	1	no	—
2170	C₂×C₄	—	4	1	no	—
2171	C₂×C₄	—	4	1	no	—
2172	C₂×C₄	—	4	1	no	—
2173	C₂×C₄	—	4	1	no	—
2174	C₂×C₄	—	7	1	no	—
2175	C₂×C₄	—	7	1	no	—
2176	C₂×C₄	—	7	1	no	—
2177	C₂×C₄	—	7	1	no	—
2178	C₂×C₄	—	7	1	no	—
2179	C₂×C₄	—	7	1	no	—
2180	C₂×C₄	—	7	1	no	—
2181	C₂×C₄	—	7	1	no	—
2182	C₂×C₄	—	7	1	no	—
2183	C₂×C₄	—	14	2	no	—
2184	C₂×C₄	—	14	2	no	—
2185	C₂×C₄	—	28	1	no	—
2186	C₂×C₄	—	28	1	no	—
2187	C₂×C₄	—	28	1	no	—
2188	C₂×C₄	—	28	1	no	—
2189	C₂×C₄	—	28	1	no	—
2190	C₂×C₄	—	28	1	no	—
2191	C₂×C₄	—	28	1	no	—
2192	C₂×C₄	—	28	1	no	—
2193	C₂×C₄	—	28	1	no	—
2194	C₂×C₄	—	28	1	no	—
2195	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2196	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2197	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2198	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2199	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2200	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2201	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2202	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2203	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2204	C₇	C₃×#3532	1	1	yes	characteristic, complemented, Sylow
2205	C₂×C₃	—	7	1	no	—
2206	C₂×C₃	—	7	1	no	—
2207	C₂×C₃	—	7	1	no	—
2208	C₂×C₃	—	14	2	no	—
2209	C₂×C₃	—	14	2	no	—
2210	C₂×C₃	—	14	2	no	—
2211	C₂×C₃	—	28	1	no	—
2212	C₂×C₃	—	28	1	no	—
2213	C₂×C₃	—	28	1	no	—
2214	C₂×C₃	—	28	1	no	—
2215	C₂×C₃	—	28	1	no	—
2216	C₂×C₃	—	28	1	no	—
2217	C₂×C₃	—	28	1	no	—
2218	C₂×C₃	—	28	1	no	—
2219	C₂×C₃	—	28	1	no	—
2220	C₂×C₃	—	28	1	no	—
2221	C₂²	—	2	1	no	—
2222	C₂²	—	2	1	no	—
2223	C₂²	—	2	1	no	—
2224	C₂²	—	2	1	no	—
2225	C₂²	—	2	1	no	—
2226	C₂²	—	2	1	no	—
2227	C₂²	—	2	1	no	—
2228	C₂²	—	2	1	no	—
2229	C₂²	—	2	1	no	—
2230	C₂²	—	2	1	no	—
2231	C₂²	—	2	1	no	—
2232	C₂²	—	2	1	no	—
2233	C₂²	—	2	1	no	—
2234	C₂²	—	2	1	no	—
2235	C₂²	—	2	1	no	—
2236	C₂²	—	2	1	no	—
2237	C₂²	—	4	4	no	—
2238	C₂²	—	7	2	no	—
2239	C₂²	—	8	2	no	—
2240	C₂²	—	14	1	no	—
2241	C₂²	—	14	1	no	—
2242	C₂²	—	14	1	no	—
2243	C₂²	—	14	1	no	—
2244	C₂²	—	14	1	no	—
2245	C₂²	—	14	1	no	—
2246	C₂²	—	14	1	no	—
2247	C₂²	—	14	1	no	—
2248	C₂²	—	14	1	no	—
2249	C₂²	—	14	1	no	—
2250	C₂²	—	14	1	no	—
2251	C₂²	—	14	1	no	—
2252	C₂²	—	14	1	no	—
2253	C₂²	—	14	1	no	—
2254	C₂²	—	14	1	no	—
2255	C₂²	—	14	1	no	—
2256	C₂²	—	14	1	no	—
2257	C₂²	—	14	1	no	—
2258	C₂²	—	14	1	no	—
2259	C₂²	—	14	1	no	—
2260	C₂²	—	28	4	no	—
2261	C₂²	—	28	4	no	—
2262	C₂²	—	28	4	no	—
2263	C₂²	—	28	4	no	—
2264	C₂²	—	28	4	no	—
2265	C₂²	—	28	4	no	—
2266	C₂²	—	56	2	no	—
2267	C₂²	—	56	2	no	—
2268	C₂²	—	56	2	no	—
2269	C₂²	#6548⋊C₃	1	2	yes	—
2270	C₂²	#10621518	1	2	yes	—
2271	C₂²	C₂⁴×AGL(1,𝔽₇)	1	1	yes	characteristic
2272	C₄	—	2	1	no	—
2273	C₄	—	2	1	no	—
2274	C₄	—	2	1	no	—
2275	C₄	—	2	1	no	—
2276	C₄	—	2	1	no	—
2277	C₄	—	2	1	no	—
2278	C₄	—	2	1	no	—
2279	C₄	—	2	1	no	—
2280	C₄	—	2	1	no	—
2281	C₄	—	14	1	no	—
2282	C₄	—	14	1	no	—
2283	C₄	—	14	1	no	—
2284	C₄	—	14	1	no	—
2285	C₄	—	14	1	no	—
2286	C₄	—	14	1	no	—
2287	C₄	—	14	1	no	—
2288	C₄	—	14	1	no	—
2289	C₄	—	14	1	no	—
2290	C₃	—	7	1	no	Sylow
2291	C₂	—	2	2	no	—
2292	C₂	—	2	2	no	—
2293	C₂	—	4	1	no	—
2294	C₂	—	4	1	no	—
2295	C₂	—	4	1	no	—
2296	C₂	—	4	1	no	—
2297	C₂	—	14	2	no	—
2298	C₂	—	28	1	no	—
2299	C₂	—	28	1	no	—
2300	C₂	—	28	1	no	—
2301	C₂	—	28	1	no	—
2302	C₂	—	28	1	no	—
2303	C₂	—	28	1	no	—
2304	C₂	C₂×#6548⋊C₃	1	1	yes	characteristic
2305	C₂	C₂×#10621518	1	1	yes	characteristic
2306	C₂	H(5,𝔽₂)×AGL(1,𝔽₇)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×AGL(1,𝔽₇)
commutator, socle, cosocle	C₂²×C₇	C₂⁵×C₃
Fitting	C₇×#546	C₂×C₃
hypercenter	#546	AGL(1,𝔽₇)
hypocenter	C₇	C₃×#3532
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #546

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. ΓL(1,𝔽₈)×#546	C₂	semidirect
2. #90521⋊C₃	C₂	semidirect
3. #90520⋊C₃	C₂	semidirect
4. D₄×(C₂²⋊D₇)⋊C₃	C₂	semidirect
5. C₂×#6500⋊C₃	C₂	semidirect
6. #90374⋊C₃	C₂	semidirect
7. #90369⋊C₃	C₂	semidirect
8. #90357⋊C₃	C₂	semidirect
9. #90349⋊C₃	C₂	semidirect
10. #90348⋊C₃	C₂	semidirect
11. #90344⋊C₃	C₂	semidirect
12. #90335⋊C₃	C₂	semidirect
13. #90328⋊C₃	C₂	semidirect
14. #90311⋊C₃	C₂	semidirect
15. #90311⋊C₃	C₂	semidirect
16. #90308⋊C₃	C₂	semidirect
17. #90300⋊C₃	C₂	semidirect
18. #90298⋊C₃	C₂	semidirect
19. #90296⋊C₃	C₂	semidirect
20. #90282⋊C₃	C₂	semidirect
21. #90281⋊C₃	C₂	semidirect
22. #120×AGL(1,𝔽₇)	C₂	semidirect
23. #90283⋊C₃	C₂	semidirect
24. #90251⋊C₃	C₂	semidirect
25. #90251⋊C₃	C₂	semidirect
26. #90245⋊C₃	C₂	semidirect
27. #90241⋊C₃	C₂	semidirect
28. #90186⋊C₃	C₂	semidirect
29. #90184⋊C₃	C₂	semidirect
30. #90181⋊C₃	C₂	semidirect
31. C₂×#6445⋊C₃	C₂	semidirect
32. #11743735	C₃	semidirect
33. C₂⁴×AGL(1,𝔽₇)	C₂²	semidirect
34. C₂×#41×ΓL(1,𝔽₈)	C₂²	semidirect
35. C₂²×D₄×ΓL(1,𝔽₈)	C₂²	semidirect
36. C₂²×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
37. C₂²×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
38. C₂²×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
39. C₂²×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
40. C₂×#1159⋊C₃	C₂²	semidirect
41. C₂×D₄×AGL(1,𝔽₇)	C₂²	semidirect
42. C₂×D₄×AGL(1,𝔽₇)	C₂²	semidirect
43. C₂×D₄×AGL(1,𝔽₇)	C₂²	semidirect
44. C₂×D₄×AGL(1,𝔽₇)	C₂²	semidirect
45. C₂×D₄×AGL(1,𝔽₇)	C₂²	semidirect
46. C₂×#1157⋊C₃	C₂²	semidirect
47. C₂²×C₄⋊AGL(1,𝔽₇)	C₂²	semidirect
48. C₂²×C₄⋊AGL(1,𝔽₇)	C₂²	semidirect
49. ΓL(1,𝔽₈)×#124	C₂²	semidirect
50. ΓL(1,𝔽₈)×#123	C₂²	semidirect
51. ΓL(1,𝔽₈)×#123	C₂²	semidirect
52. ΓL(1,𝔽₈)×C₂²⋊Q₈	C₂²	semidirect
53. ΓL(1,𝔽₈)×#121	C₂²	semidirect
54. ΓL(1,𝔽₈)×#121	C₂²	semidirect
55. ΓL(1,𝔽₈)×#121	C₂²	semidirect
56. ΓL(1,𝔽₈)×#120	C₂²	semidirect
57. ΓL(1,𝔽₈)×#120	C₂²	semidirect
58. C₄×D₄×ΓL(1,𝔽₈)	C₂²	semidirect
59. C₄×D₄×ΓL(1,𝔽₈)	C₂²	semidirect
60. C₂×C₂²⋊C₄×ΓL(1,𝔽₈)	C₂²	semidirect
61. C₂×C₂²⋊C₄×ΓL(1,𝔽₈)	C₂²	semidirect
63. #10620789	C₂²	semidirect
64. C₂×(C₂²⋊Dic₇)⋊C₃	C₂²	semidirect
65. #6510⋊C₃	C₂²	semidirect
66. #6510⋊C₃	C₂²	semidirect
67. #6510⋊C₃	C₂²	semidirect
68. #6509⋊C₃	C₂²	semidirect
69. #6503⋊C₃	C₂²	semidirect
70. #6503⋊C₃	C₂²	semidirect
71. #6503⋊C₃	C₂²	semidirect
72. #6503⋊C₃	C₂²	semidirect
73. #6502⋊C₃	C₂²	semidirect
74. #6502⋊C₃	C₂²	semidirect
75. #6502⋊C₃	C₂²	semidirect
76. #6502⋊C₃	C₂²	semidirect
77. #6502⋊C₃	C₂²	semidirect
78. #6502⋊C₃	C₂²	semidirect
79. #6502⋊C₃	C₂²	semidirect
80. #6501⋊C₃	C₂²	semidirect
81. #6501⋊C₃	C₂²	semidirect
83. #6500⋊C₃	C₂²	semidirect
84. #6500⋊C₃	C₂²	semidirect
85. #6500⋊C₃	C₂²	semidirect
86. #6500⋊C₃	C₂²	semidirect
87. #6500⋊C₃	C₂²	semidirect
88. #6500⋊C₃	C₂²	semidirect
89. #6500⋊C₃	C₂²	semidirect
90. #6500⋊C₃	C₂²	semidirect
91. #6500⋊C₃	C₂²	semidirect
92. #6500⋊C₃	C₂²	semidirect
93. #6500⋊C₃	C₂²	semidirect
94. #6500⋊C₃	C₂²	semidirect
95. #6500⋊C₃	C₂²	semidirect
96. #6500⋊C₃	C₂²	semidirect
97. D₄×ΓL(1,𝔽₈)⋊C₄	C₂²	semidirect
98. D₄×ΓL(1,𝔽₈)⋊C₄	C₂²	semidirect
99. #6493⋊C₃	C₂²	semidirect
100. #6493⋊C₃	C₂²	semidirect
101. #6493⋊C₃	C₂²	semidirect
102. #6493⋊C₃	C₂²	semidirect
103. #6493⋊C₃	C₂²	semidirect
104. #6493⋊C₃	C₂²	semidirect
105. #6493⋊C₃	C₂²	semidirect
106. #6493⋊C₃	C₂²	semidirect
107. #6492⋊C₃	C₂²	semidirect
108. #6492⋊C₃	C₂²	semidirect
109. #6492⋊C₃	C₂²	semidirect
110. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
111. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
112. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
113. C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	semidirect
114. C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	semidirect
115. C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	semidirect
116. C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	semidirect
117. C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	semidirect
118. #6489⋊C₃	C₂²	semidirect
119. #6487⋊C₃	C₂²	semidirect
120. #6461⋊C₃	C₂²	semidirect
121. #6461⋊C₃	C₂²	semidirect
122. #6461⋊C₃	C₂²	semidirect
123. #6461⋊C₃	C₂²	semidirect
124. #6461⋊C₃	C₂²	semidirect
125. #6460⋊C₃	C₂²	semidirect
126. #6458⋊C₃	C₂²	semidirect
127. #6458⋊C₃	C₂²	semidirect
128. #6458⋊C₃	C₂²	semidirect
129. #6457⋊C₃	C₂²	semidirect
130. #6457⋊C₃	C₂²	semidirect
131. #6457⋊C₃	C₂²	semidirect
132. #6457⋊C₃	C₂²	semidirect
133. #6457⋊C₃	C₂²	semidirect
134. #6456⋊C₃	C₂²	semidirect
135. #6455⋊C₃	C₂²	semidirect
136. #6449⋊C₃	C₂²	semidirect
137. #6449⋊C₃	C₂²	semidirect
138. #6449⋊C₃	C₂²	semidirect
139. #6449⋊C₃	C₂²	semidirect
140. #6449⋊C₃	C₂²	semidirect
141. #6448⋊C₃	C₂²	semidirect
142. #6448⋊C₃	C₂²	semidirect
143. #6448⋊C₃	C₂²	semidirect
144. #6448⋊C₃	C₂²	semidirect
145. #6448⋊C₃	C₂²	semidirect
146. #6448⋊C₃	C₂²	semidirect
147. #6447⋊C₃	C₂²	semidirect
148. #6447⋊C₃	C₂²	semidirect
149. #6447⋊C₃	C₂²	semidirect
150. #6447⋊C₃	C₂²	semidirect
151. #6447⋊C₃	C₂²	semidirect
152. #6447⋊C₃	C₂²	semidirect
153. #6447⋊C₃	C₂²	semidirect
154. #6446⋊C₃	C₂²	semidirect
155. #6446⋊C₃	C₂²	semidirect
156. #6446⋊C₃	C₂²	semidirect
158. #6445⋊C₃	C₂²	semidirect
159. #6445⋊C₃	C₂²	semidirect
160. #6445⋊C₃	C₂²	semidirect
161. #6445⋊C₃	C₂²	semidirect
162. #6445⋊C₃	C₂²	semidirect
163. #6445⋊C₃	C₂²	semidirect
164. #6445⋊C₃	C₂²	semidirect
165. #6445⋊C₃	C₂²	semidirect
166. #6445⋊C₃	C₂²	semidirect
167. #6445⋊C₃	C₂²	semidirect
168. #6445⋊C₃	C₂²	semidirect
169. #6445⋊C₃	C₂²	semidirect
170. #6445⋊C₃	C₂²	semidirect
171. #6445⋊C₃	C₂²	semidirect
172. ((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	semidirect
173. ((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	semidirect
174. ((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	semidirect
175. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
176. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
177. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
178. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
179. #6442⋊C₃	C₂²	semidirect
180. #6442⋊C₃	C₂²	semidirect
181. #6441⋊C₃	C₂²	semidirect
182. #6441⋊C₃	C₂²	semidirect
183. #6440⋊C₃	C₂²	semidirect
184. #10620712	C₂²	semidirect
185. #6438⋊C₃	C₂²	semidirect
186. #6438⋊C₃	C₂²	semidirect
187. C₄×C₄⋊AGL(1,𝔽₇)	C₂²	semidirect
188. C₇×#546	C₂×C₃	semidirect
189. #90521	C₂×C₃	semidirect
190. #90520	C₂×C₃	semidirect
191. D₄×C₂²⋊D₇	C₂×C₃	semidirect
192. C₂×#6500	C₂×C₃	semidirect
193. #90374	C₂×C₃	semidirect
194. #90369	C₂×C₃	semidirect
195. #90357	C₂×C₃	semidirect
196. #90349	C₂×C₃	semidirect
197. #90348	C₂×C₃	semidirect
198. #90344	C₂×C₃	semidirect
199. #90335	C₂×C₃	semidirect
200. #90328	C₂×C₃	semidirect
201. #90311	C₂×C₃	semidirect
202. #90311	C₂×C₃	semidirect
203. #90308	C₂×C₃	semidirect
204. #90300	C₂×C₃	semidirect
205. #90298	C₂×C₃	semidirect
206. #90296	C₂×C₃	semidirect
207. #90283	C₂×C₃	semidirect
208. #90282	C₂×C₃	semidirect
209. #90281	C₂×C₃	semidirect
210. D₇×#120	C₂×C₃	semidirect
211. #90251	C₂×C₃	semidirect
212. #90251	C₂×C₃	semidirect
213. #90245	C₂×C₃	semidirect
214. #90241	C₂×C₃	semidirect
215. #90186	C₂×C₃	semidirect
216. #90184	C₂×C₃	semidirect
217. #90181	C₂×C₃	semidirect
218. C₂×#6445	C₂×C₃	semidirect
233. C₂³×AGL(1,𝔽₇)	C₂³	semidirect
235. C₂×Q₈×ΓL(1,𝔽₈)	C₂³	semidirect
244. C₂×D₄×ΓL(1,𝔽₈)	C₂³	semidirect
245. C₂×D₄×ΓL(1,𝔽₈)	C₂³	semidirect
249. C₂²×C₄×ΓL(1,𝔽₈)	C₂³	semidirect
250. C₂²×C₄×ΓL(1,𝔽₈)	C₂³	semidirect
251. C₂²×C₄×ΓL(1,𝔽₈)	C₂³	semidirect
274. C₂×(C₂²⋊D₇)⋊C₃	C₂³	semidirect
275. C₂×(C₂²⋊D₇)⋊C₃	C₂³	semidirect
276. C₂×(C₂²⋊D₇)⋊C₃	C₂³	semidirect
277. C₂×(C₂²⋊D₇)⋊C₃	C₂³	semidirect
278. C₂×(C₂²⋊D₇)⋊C₃	C₂³	semidirect
279. C₂×(C₂²⋊D₇)⋊C₃	C₂³	semidirect
283. C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
284. C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
305. C₂×C₄⋊AGL(1,𝔽₇)	C₂³	semidirect
309. C₂×C₄×AGL(1,𝔽₇)	C₂³	semidirect
310. C₂×C₄×AGL(1,𝔽₇)	C₂³	semidirect
311. C₂×C₄×AGL(1,𝔽₇)	C₂³	semidirect
312. C₂×C₄×AGL(1,𝔽₇)	C₂³	semidirect
313. C₂×ΓL(1,𝔽₈)⋊Q₈	C₂³	semidirect
314. C₂×ΓL(1,𝔽₈)⋊Q₈	C₂³	semidirect
315. C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
316. C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
317. C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
318. C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
326. C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
327. C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
328. C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
329. C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
330. C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
331. C₄²×ΓL(1,𝔽₈)	C₂³	semidirect
339. (C₂²⋊Dic₇)⋊C₃	C₂³	semidirect
340. (C₂²⋊Dic₇)⋊C₃	C₂³	semidirect
341. (C₂²⋊Dic₇)⋊C₃	C₂³	semidirect
364. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
365. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
366. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
367. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
368. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
369. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
370. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
371. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
372. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
373. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
374. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
375. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
376. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
377. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
378. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
379. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
380. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
381. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
382. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
383. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
384. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
385. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
386. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
387. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
388. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
389. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
390. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
391. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
392. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
393. C₂⁴×D₇	C₂²×C₃	semidirect
394. C₂×C₇×#41	C₂²×C₃	semidirect
395. C₂²×C₇×D₄	C₂²×C₃	semidirect
396. C₂²×C₂²⋊D₇	C₂²×C₃	semidirect
397. C₂²×C₂²⋊D₇	C₂²×C₃	semidirect
398. C₂²×C₂²⋊D₇	C₂²×C₃	semidirect
399. C₂²×C₂²⋊D₇	C₂²×C₃	semidirect
400. C₂×#1159	C₂²×C₃	semidirect
401. C₂×D₄×D₇	C₂²×C₃	semidirect
402. C₂×D₄×D₇	C₂²×C₃	semidirect
403. C₂×D₄×D₇	C₂²×C₃	semidirect
404. C₂×D₄×D₇	C₂²×C₃	semidirect
405. C₂×D₄×D₇	C₂²×C₃	semidirect
406. C₂×#1157	C₂²×C₃	semidirect
407. C₂²×D₂₈	C₂²×C₃	semidirect
408. C₂²×D₂₈	C₂²×C₃	semidirect
409. C₇×#124	C₂²×C₃	semidirect
410. C₇×#123	C₂²×C₃	semidirect
411. C₇×#123	C₂²×C₃	semidirect
412. C₇×C₂²⋊Q₈	C₂²×C₃	semidirect
413. C₇×#121	C₂²×C₃	semidirect
414. C₇×#121	C₂²×C₃	semidirect
415. C₇×#121	C₂²×C₃	semidirect
416. C₇×#120	C₂²×C₃	semidirect
417. C₇×#120	C₂²×C₃	semidirect
418. C₄×C₇×D₄	C₂²×C₃	semidirect
419. C₄×C₇×D₄	C₂²×C₃	semidirect
420. C₂×C₇×C₂²⋊C₄	C₂²×C₃	semidirect
421. C₂×C₇×C₂²⋊C₄	C₂²×C₃	semidirect
423. #6516	C₂²×C₃	semidirect
424. C₂×C₂²⋊Dic₇	C₂²×C₃	semidirect
425. #6510	C₂²×C₃	semidirect
426. #6510	C₂²×C₃	semidirect
427. #6510	C₂²×C₃	semidirect
428. #6509	C₂²×C₃	semidirect
429. #6503	C₂²×C₃	semidirect
430. #6503	C₂²×C₃	semidirect
431. #6503	C₂²×C₃	semidirect
432. #6503	C₂²×C₃	semidirect
433. #6502	C₂²×C₃	semidirect
434. #6502	C₂²×C₃	semidirect
435. #6502	C₂²×C₃	semidirect
436. #6502	C₂²×C₃	semidirect
437. #6502	C₂²×C₃	semidirect
438. #6502	C₂²×C₃	semidirect
439. #6502	C₂²×C₃	semidirect
440. #6501	C₂²×C₃	semidirect
441. #6501	C₂²×C₃	semidirect
443. #6500	C₂²×C₃	semidirect
444. #6500	C₂²×C₃	semidirect
445. #6500	C₂²×C₃	semidirect
446. #6500	C₂²×C₃	semidirect
447. #6500	C₂²×C₃	semidirect
448. #6500	C₂²×C₃	semidirect
449. #6500	C₂²×C₃	semidirect
450. #6500	C₂²×C₃	semidirect
451. #6500	C₂²×C₃	semidirect
452. #6500	C₂²×C₃	semidirect
453. #6500	C₂²×C₃	semidirect
454. #6500	C₂²×C₃	semidirect
455. #6500	C₂²×C₃	semidirect
456. #6500	C₂²×C₃	semidirect
457. D₄×Dic₇	C₂²×C₃	semidirect
458. D₄×Dic₇	C₂²×C₃	semidirect
459. #6493	C₂²×C₃	semidirect
460. #6493	C₂²×C₃	semidirect
461. #6493	C₂²×C₃	semidirect
462. #6493	C₂²×C₃	semidirect
463. #6493	C₂²×C₃	semidirect
464. #6493	C₂²×C₃	semidirect
465. #6493	C₂²×C₃	semidirect
466. #6493	C₂²×C₃	semidirect
467. #6492	C₂²×C₃	semidirect
468. #6492	C₂²×C₃	semidirect
469. #6492	C₂²×C₃	semidirect
470. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
471. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
472. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
473. C₂×(C₂×D₇)⋊C₄	C₂²×C₃	semidirect
474. C₂×(C₂×D₇)⋊C₄	C₂²×C₃	semidirect
475. C₂×(C₂×D₇)⋊C₄	C₂²×C₃	semidirect
476. C₂×(C₂×D₇)⋊C₄	C₂²×C₃	semidirect
477. C₂×(C₂×D₇)⋊C₄	C₂²×C₃	semidirect
478. #6489	C₂²×C₃	semidirect
479. #6487	C₂²×C₃	semidirect
480. #6461	C₂²×C₃	semidirect
481. #6461	C₂²×C₃	semidirect
482. #6461	C₂²×C₃	semidirect
483. #6461	C₂²×C₃	semidirect
484. #6461	C₂²×C₃	semidirect
485. #6460	C₂²×C₃	semidirect
486. #6458	C₂²×C₃	semidirect
487. #6458	C₂²×C₃	semidirect
488. #6458	C₂²×C₃	semidirect
489. #6457	C₂²×C₃	semidirect
490. #6457	C₂²×C₃	semidirect
491. #6457	C₂²×C₃	semidirect
492. #6457	C₂²×C₃	semidirect
493. #6457	C₂²×C₃	semidirect
494. #6456	C₂²×C₃	semidirect
495. #6455	C₂²×C₃	semidirect
496. #6449	C₂²×C₃	semidirect
497. #6449	C₂²×C₃	semidirect
498. #6449	C₂²×C₃	semidirect
499. #6449	C₂²×C₃	semidirect
500. #6449	C₂²×C₃	semidirect
501. #6448	C₂²×C₃	semidirect
502. #6448	C₂²×C₃	semidirect
503. #6448	C₂²×C₃	semidirect
504. #6448	C₂²×C₃	semidirect
505. #6448	C₂²×C₃	semidirect
506. #6448	C₂²×C₃	semidirect
507. #6447	C₂²×C₃	semidirect
508. #6447	C₂²×C₃	semidirect
509. #6447	C₂²×C₃	semidirect
510. #6447	C₂²×C₃	semidirect
511. #6447	C₂²×C₃	semidirect
512. #6447	C₂²×C₃	semidirect
513. #6447	C₂²×C₃	semidirect
514. #6446	C₂²×C₃	semidirect
515. #6446	C₂²×C₃	semidirect
516. #6446	C₂²×C₃	semidirect
518. #6445	C₂²×C₃	semidirect
519. #6445	C₂²×C₃	semidirect
520. #6445	C₂²×C₃	semidirect
521. #6445	C₂²×C₃	semidirect
522. #6445	C₂²×C₃	semidirect
523. #6445	C₂²×C₃	semidirect
524. #6445	C₂²×C₃	semidirect
525. #6445	C₂²×C₃	semidirect
526. #6445	C₂²×C₃	semidirect
527. #6445	C₂²×C₃	semidirect
528. #6445	C₂²×C₃	semidirect
529. #6445	C₂²×C₃	semidirect
530. #6445	C₂²×C₃	semidirect
531. #6445	C₂²×C₃	semidirect
532. (C₂²⋊D₇)⋊C₄	C₂²×C₃	semidirect
533. (C₂²⋊D₇)⋊C₄	C₂²×C₃	semidirect
534. (C₂²⋊D₇)⋊C₄	C₂²×C₃	semidirect
535. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
536. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
537. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
538. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
539. #6442	C₂²×C₃	semidirect
540. #6442	C₂²×C₃	semidirect
541. #6441	C₂²×C₃	semidirect
542. #6441	C₂²×C₃	semidirect
543. #6440	C₂²×C₃	semidirect
544. #6439	C₂²×C₃	semidirect
545. #6438	C₂²×C₃	semidirect
546. #6438	C₂²×C₃	semidirect
547. C₄×D₂₈	C₂²×C₃	semidirect
724. C₂³×D₇	C₂³×C₃	semidirect
726. C₂×C₇×Q₈	C₂³×C₃	semidirect
735. C₂×C₇×D₄	C₂³×C₃	semidirect
736. C₂×C₇×D₄	C₂³×C₃	semidirect
740. C₂²×C₄×C₇	C₂³×C₃	semidirect
741. C₂²×C₄×C₇	C₂³×C₃	semidirect
742. C₂²×C₄×C₇	C₂³×C₃	semidirect
765. C₂×C₂²⋊D₇	C₂³×C₃	semidirect
766. C₂×C₂²⋊D₇	C₂³×C₃	semidirect
767. C₂×C₂²⋊D₇	C₂³×C₃	semidirect
768. C₂×C₂²⋊D₇	C₂³×C₃	semidirect
769. C₂×C₂²⋊D₇	C₂³×C₃	semidirect
770. C₂×C₂²⋊D₇	C₂³×C₃	semidirect
774. C₂²×Dic₇	C₂³×C₃	semidirect
775. C₂²×Dic₇	C₂³×C₃	semidirect
796. C₂×D₂₈	C₂³×C₃	semidirect
800. C₂×C₄×D₇	C₂³×C₃	semidirect
801. C₂×C₄×D₇	C₂³×C₃	semidirect
802. C₂×C₄×D₇	C₂³×C₃	semidirect
803. C₂×C₄×D₇	C₂³×C₃	semidirect
804. C₂×Dic₁₄	C₂³×C₃	semidirect
805. C₂×Dic₁₄	C₂³×C₃	semidirect
806. C₇×C₄⋊C₄	C₂³×C₃	semidirect
807. C₇×C₄⋊C₄	C₂³×C₃	semidirect
808. C₇×C₄⋊C₄	C₂³×C₃	semidirect
809. C₇×C₄⋊C₄	C₂³×C₃	semidirect
817. C₇×C₂²⋊C₄	C₂³×C₃	semidirect
818. C₇×C₂²⋊C₄	C₂³×C₃	semidirect
819. C₇×C₂²⋊C₄	C₂³×C₃	semidirect
820. C₇×C₂²⋊C₄	C₂³×C₃	semidirect
821. C₇×C₂²⋊C₄	C₂³×C₃	semidirect
822. C₄²×C₇	C₂³×C₃	semidirect
830. C₂²⋊Dic₇	C₂³×C₃	semidirect
831. C₂²⋊Dic₇	C₂³×C₃	semidirect
832. C₂²⋊Dic₇	C₂³×C₃	semidirect
855. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
856. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
857. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
858. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
859. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
860. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
861. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
862. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
863. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
864. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
865. C₄⋊Dic₇	C₂³×C₃	semidirect
866. C₄⋊Dic₇	C₂³×C₃	semidirect
867. C₄⋊Dic₇	C₂³×C₃	semidirect
868. C₄⋊Dic₇	C₂³×C₃	semidirect
869. C₄⋊Dic₇	C₂³×C₃	semidirect
870. C₄⋊Dic₇	C₂³×C₃	semidirect
871. Dic₇⋊C₄	C₂³×C₃	semidirect
872. Dic₇⋊C₄	C₂³×C₃	semidirect
873. Dic₇⋊C₄	C₂³×C₃	semidirect
874. Dic₇⋊C₄	C₂³×C₃	semidirect
875. Dic₇⋊C₄	C₂³×C₃	semidirect
876. Dic₇⋊C₄	C₂³×C₃	semidirect
877. Dic₇⋊C₄	C₂³×C₃	semidirect
878. Dic₇⋊C₄	C₂³×C₃	semidirect
879. C₄×Dic₇	C₂³×C₃	semidirect
880. C₄×Dic₇	C₂³×C₃	semidirect
881. C₄×Dic₇	C₂³×C₃	semidirect
882. C₄×Dic₇	C₂³×C₃	semidirect
883. C₄×Dic₇	C₂³×C₃	semidirect
1120. #546	AGL(1,𝔽₇)	semidirect
1462. C₂×#41	C₂×AGL(1,𝔽₇)	semidirect
1474. C₂²×D₄	C₂×AGL(1,𝔽₇)	semidirect
1498. #124	C₂×AGL(1,𝔽₇)	semidirect
1515. #123	C₂×AGL(1,𝔽₇)	semidirect
1516. #123	C₂×AGL(1,𝔽₇)	semidirect
1522. C₂²⋊Q₈	C₂×AGL(1,𝔽₇)	semidirect
1550. #121	C₂×AGL(1,𝔽₇)	semidirect
1551. #121	C₂×AGL(1,𝔽₇)	semidirect
1552. #121	C₂×AGL(1,𝔽₇)	semidirect
1585. #120	C₂×AGL(1,𝔽₇)	semidirect
1586. #120	C₂×AGL(1,𝔽₇)	semidirect
1597. C₄×D₄	C₂×AGL(1,𝔽₇)	semidirect
1598. C₄×D₄	C₂×AGL(1,𝔽₇)	semidirect
1612. C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₇)	semidirect
1613. C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₇)	semidirect
1814. ΓL(1,𝔽₈)	#3532	semidirect
1834. C₂×Q₈	C₂²×AGL(1,𝔽₇)	semidirect
1890. C₂×D₄	C₂²×AGL(1,𝔽₇)	semidirect
1891. C₂×D₄	C₂²×AGL(1,𝔽₇)	semidirect
1907. C₂²×C₄	C₂²×AGL(1,𝔽₇)	semidirect
1908. C₂²×C₄	C₂²×AGL(1,𝔽₇)	semidirect
1909. C₂²×C₄	C₂²×AGL(1,𝔽₇)	semidirect
1924. C₄⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1925. C₄⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1926. C₄⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1927. C₄⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1977. C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1978. C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1979. C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1980. C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1981. C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1987. C₄²	C₂²×AGL(1,𝔽₇)	semidirect
2204. C₇	C₃×#3532	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
ΓL(1,𝔽₈)×#546	2
#90521⋊C₃	2
#90520⋊C₃	2
D₄×(C₂²⋊D₇)⋊C₃	2
C₂×#6500⋊C₃	2
#90374⋊C₃	2
#90369⋊C₃	2
#90357⋊C₃	2
#90349⋊C₃	2
#90348⋊C₃	2
#90344⋊C₃	2
#90335⋊C₃	2
#90328⋊C₃	2
#90311⋊C₃	2
#90308⋊C₃	2
#90300⋊C₃	2
#90298⋊C₃	2
#90296⋊C₃	2
#90282⋊C₃	2
#90281⋊C₃	2
#120×AGL(1,𝔽₇)	2
#90283⋊C₃	2
#90251⋊C₃	2
#90245⋊C₃	2
#90241⋊C₃	2
#90186⋊C₃	2
#90184⋊C₃	2
#90181⋊C₃	2
C₂×#6445⋊C₃	2
#11743735	3
C₃×#3532	7