Subgroups — #72277533

Order 2688.

2656 conjugacy classes of subgroups.

The subgroup lattice has 2208 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	#90520⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#90519⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#90497⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#6500⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
6	#90370⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
7	#90369⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
8	#90350⋊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	#90347⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
12	#90328⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
13	#90325⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
14	#90304⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#90304⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
16	#90303⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#90301⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
18	#90301⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#90297⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#90282⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#90280⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#120×AGL(1,𝔽₇)	C₂	1	1	yes	maximal, characteristic, complemented
23	#90278⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
24	#90247⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#90247⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
26	#90238⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
27	#90236⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
28	#90186⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
29	#90181⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
30	#90177⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₂²⋊C₄×AGL(1,𝔽₇)	C₂	1	1	yes	maximal, characteristic, complemented
32	#11743732	C₃	1	1	yes	maximal, characteristic, complemented, Hall
33	C₂⁴×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic
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
37	C₂²×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×#1159⋊C₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×#1159⋊C₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic
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×#1157⋊C₃	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
46	ΓL(1,𝔽₈)×#124	C₂²	1	1	yes	characteristic, complemented
47	ΓL(1,𝔽₈)×#123	C₂²	1	1	yes	characteristic, complemented
48	ΓL(1,𝔽₈)×#123	C₂²	1	1	yes	characteristic, complemented
49	ΓL(1,𝔽₈)×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	ΓL(1,𝔽₈)×#121	C₂²	1	1	yes	characteristic, complemented
51	ΓL(1,𝔽₈)×#121	C₂²	1	1	yes	characteristic, complemented
52	ΓL(1,𝔽₈)×#121	C₂²	1	1	yes	characteristic, complemented
53	ΓL(1,𝔽₈)×#120	C₂²	1	1	yes	characteristic
54	ΓL(1,𝔽₈)×#120	C₂²	1	1	yes	characteristic, complemented
55	C₄×D₄×ΓL(1,𝔽₈)	C₂²	1	1	yes	characteristic, complemented
56	C₄×D₄×ΓL(1,𝔽₈)	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₂²⋊C₄×ΓL(1,𝔽₈)	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₂²⋊C₄×ΓL(1,𝔽₈)	C₂²	1	1	yes	characteristic, complemented
59	#10620789	C₂²	1	1	yes	characteristic
60	#10620789	C₂²	1	1	yes	characteristic, complemented
61	C₂×(C₂²⋊Dic₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
62	C₂×(C₂²⋊Dic₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×(C₂²⋊Dic₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
64	#6510⋊C₃	C₂²	1	1	yes	characteristic, complemented
65	#6509⋊C₃	C₂²	1	1	yes	characteristic, complemented
66	#6509⋊C₃	C₂²	1	1	yes	characteristic, complemented
67	#6509⋊C₃	C₂²	1	1	yes	characteristic, complemented
68	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
69	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
70	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
71	#6502⋊C₃	C₂²	1	1	yes	characteristic, complemented
72	#6501⋊C₃	C₂²	1	1	yes	characteristic, complemented
73	#6501⋊C₃	C₂²	1	1	yes	characteristic, complemented
74	#6501⋊C₃	C₂²	1	1	yes	characteristic, complemented
75	#6501⋊C₃	C₂²	1	1	yes	characteristic, complemented
76	#6500⋊C₃	C₂²	1	1	yes	characteristic
77	#6500⋊C₃	C₂²	1	1	yes	characteristic
78	#6500⋊C₃	C₂²	1	1	yes	characteristic
79	#6500⋊C₃	C₂²	1	1	yes	characteristic
80	#6500⋊C₃	C₂²	1	1	yes	characteristic
81	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
82	#6500⋊C₃	C₂²	1	1	yes	characteristic, complemented
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	#6499⋊C₃	C₂²	1	1	yes	characteristic, complemented
90	#6499⋊C₃	C₂²	1	1	yes	characteristic, complemented
91	#6498⋊C₃	C₂²	1	1	yes	characteristic, complemented
92	#6498⋊C₃	C₂²	1	1	yes	characteristic, complemented
93	#6498⋊C₃	C₂²	1	1	yes	characteristic, complemented
94	#6498⋊C₃	C₂²	1	1	yes	characteristic, complemented
95	#6498⋊C₃	C₂²	1	1	yes	characteristic, complemented
96	D₄×ΓL(1,𝔽₈)⋊C₄	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	#6492⋊C₃	C₂²	1	1	yes	characteristic, complemented
101	#6492⋊C₃	C₂²	1	1	yes	characteristic, complemented
102	#6492⋊C₃	C₂²	1	1	yes	characteristic, complemented
103	C₄×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
104	C₄×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
105	C₄×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
106	C₄×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
107	C₄×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
108	C₄×(C₂²⋊D₇)⋊C₃	C₂²	1	1	yes	characteristic, complemented
109	C₄×(C₂²⋊D₇)⋊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	C₂×(C₂×AGL(1,𝔽₇))⋊C₄	C₂²	1	1	yes	characteristic
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	#6489⋊C₃	C₂²	1	1	yes	characteristic, complemented
118	#6487⋊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	#6460⋊C₃	C₂²	1	1	yes	characteristic, complemented
124	#6460⋊C₃	C₂²	1	1	yes	characteristic, complemented
125	#6459⋊C₃	C₂²	1	1	yes	characteristic, complemented
126	#6459⋊C₃	C₂²	1	1	yes	characteristic, complemented
127	#6459⋊C₃	C₂²	1	1	yes	characteristic, complemented
128	#6459⋊C₃	C₂²	1	1	yes	characteristic, complemented
129	#6459⋊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	#6456⋊C₃	C₂²	1	1	yes	characteristic, complemented
133	#6456⋊C₃	C₂²	1	1	yes	characteristic, complemented
134	#6455⋊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	#6448⋊C₃	C₂²	1	1	yes	characteristic, complemented
139	#6448⋊C₃	C₂²	1	1	yes	characteristic, complemented
140	#6448⋊C₃	C₂²	1	1	yes	characteristic, complemented
141	#6448⋊C₃	C₂²	1	1	yes	characteristic, complemented
142	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
143	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
144	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
145	#6447⋊C₃	C₂²	1	1	yes	characteristic, complemented
146	#6446⋊C₃	C₂²	1	1	yes	characteristic, complemented
147	#6446⋊C₃	C₂²	1	1	yes	characteristic, complemented
148	#6446⋊C₃	C₂²	1	1	yes	characteristic, complemented
149	#6446⋊C₃	C₂²	1	1	yes	characteristic, complemented
150	#6446⋊C₃	C₂²	1	1	yes	characteristic, complemented
151	#6446⋊C₃	C₂²	1	1	yes	characteristic, complemented
152	#6445⋊C₃	C₂²	1	1	yes	characteristic
153	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
154	#6445⋊C₃	C₂²	1	1	yes	characteristic, complemented
155	((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic
164	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic
165	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
166	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
172	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
173	C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
174	#6442⋊C₃	C₂²	1	1	yes	characteristic, complemented
175	#6442⋊C₃	C₂²	1	1	yes	characteristic, complemented
176	#6442⋊C₃	C₂²	1	1	yes	characteristic, complemented
177	#6442⋊C₃	C₂²	1	1	yes	characteristic, complemented
178	#6441⋊C₃	C₂²	1	1	yes	characteristic, complemented
179	#6441⋊C₃	C₂²	1	1	yes	characteristic, complemented
180	#6441⋊C₃	C₂²	1	1	yes	characteristic, complemented
181	#6440⋊C₃	C₂²	1	1	yes	characteristic, complemented
182	#6440⋊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	C₄×C₄⋊AGL(1,𝔽₇)	C₂²	1	1	yes	characteristic, complemented
186	#6435⋊C₃	C₂²	1	1	yes	characteristic, complemented
187	#6435⋊C₃	C₂²	1	1	yes	characteristic, complemented
188	C₇×#546	C₂×C₃	1	1	yes	characteristic, complemented
189	#90520	C₂×C₃	1	1	yes	characteristic, complemented
190	#90519	C₂×C₃	1	1	yes	characteristic, complemented
191	#90497	C₂×C₃	1	1	yes	characteristic, complemented
192	C₂×#6500	C₂×C₃	1	1	yes	characteristic, complemented
193	#90370	C₂×C₃	1	1	yes	characteristic, complemented
194	#90369	C₂×C₃	1	1	yes	characteristic, complemented
195	#90350	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	#90347	C₂×C₃	1	1	yes	characteristic, complemented
199	#90328	C₂×C₃	1	1	yes	characteristic, complemented
200	#90325	C₂×C₃	1	1	yes	characteristic, complemented
201	#90304	C₂×C₃	1	1	yes	characteristic, complemented
202	#90304	C₂×C₃	1	1	yes	characteristic, complemented
203	#90303	C₂×C₃	1	1	yes	characteristic, complemented
204	#90301	C₂×C₃	1	1	yes	characteristic, complemented
205	#90301	C₂×C₃	1	1	yes	characteristic, complemented
206	#90297	C₂×C₃	1	1	yes	characteristic, complemented
207	#90282	C₂×C₃	1	1	yes	characteristic, complemented
208	#90280	C₂×C₃	1	1	yes	characteristic, complemented
209	D₇×#120	C₂×C₃	1	1	yes	characteristic, complemented
210	#90278	C₂×C₃	1	1	yes	characteristic, complemented
211	#90247	C₂×C₃	1	1	yes	characteristic, complemented
212	#90247	C₂×C₃	1	1	yes	characteristic, complemented
213	#90238	C₂×C₃	1	1	yes	characteristic, complemented
214	#90236	C₂×C₃	1	1	yes	characteristic, complemented
215	#90186	C₂×C₃	1	1	yes	characteristic, complemented
216	#90181	C₂×C₃	1	1	yes	characteristic, complemented
217	#90177	C₂×C₃	1	1	yes	characteristic, complemented
218	C₂×D₇×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
219	C₃×#3490	—	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)	—	2	4	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	#41×ΓL(1,𝔽₈)	—	4	2	no	—
233	C₂×Q₈×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
234	C₂×D₄×ΓL(1,𝔽₈)	—	4	2	no	—
235	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
236	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
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, complemented
243	C₂×D₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
244	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
245	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
246	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
247	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
248	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
249	C₂²×C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
250	C₂×(C₂²⋊D₇)⋊C₃	—	2	4	no	—
251	C₂×(C₂²⋊D₇)⋊C₃	—	4	2	no	—
252	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
253	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
254	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
255	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic
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, complemented
267	C₂×(C₂²⋊D₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
268	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
273	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
274	C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
275	#1159⋊C₃	—	4	2	no	—
276	#1159⋊C₃	—	4	2	no	—
277	D₄×AGL(1,𝔽₇)	—	2	4	no	—
278	D₄×AGL(1,𝔽₇)	—	4	2	no	—
279	D₄×AGL(1,𝔽₇)	—	4	2	no	—
280	#1157⋊C₃	—	4	2	no	—
281	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
284	C₂×C₄×AGL(1,𝔽₇)	—	4	2	no	—
285	C₂×C₄×AGL(1,𝔽₇)	—	4	2	no	—
286	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
287	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
288	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
289	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
290	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
291	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
292	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
293	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic
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, complemented
298	C₂×C₄×AGL(1,𝔽₇)	C₂³	1	1	yes	characteristic, complemented
299	C₂×ΓL(1,𝔽₈)⋊Q₈	C₂³	1	1	yes	characteristic, complemented
300	C₂×ΓL(1,𝔽₈)⋊Q₈	C₂³	1	1	yes	characteristic, complemented
301	C₂×ΓL(1,𝔽₈)⋊Q₈	C₂³	1	1	yes	characteristic, complemented
302	C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
303	C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
304	C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
305	C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
306	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
307	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
308	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
309	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
310	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
311	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
312	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic
313	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
314	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
315	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
316	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
317	C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
318	C₄²×ΓL(1,𝔽₈)	C₂³	1	1	yes	characteristic, complemented
319	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
320	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
321	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
322	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
323	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
324	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
325	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
326	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
327	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
328	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
329	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic
330	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
331	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
332	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
333	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
334	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
335	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
336	(C₂²⋊Dic₇)⋊C₃	C₂³	1	1	yes	characteristic, complemented
337	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
338	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
339	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
340	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
341	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic
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, complemented
360	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
361	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
362	(C₂×AGL(1,𝔽₇))⋊C₄	C₂³	1	1	yes	characteristic, complemented
363	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
364	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
365	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
366	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
367	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
368	C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	1	1	yes	characteristic, complemented
369	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
370	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
371	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
372	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
373	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
374	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
375	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
376	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
377	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
378	(ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	1	1	yes	characteristic, complemented
379	(ΓL(1,𝔽₈)⋊C₄)⋊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	C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
384	C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
385	C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
386	C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	1	1	yes	characteristic, complemented
387	C₄×ΓL(1,𝔽₈)⋊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	C₂⁴×D₇	C₂²×C₃	1	1	yes	characteristic
391	C₂×C₇×#41	C₂²×C₃	1	1	yes	characteristic, complemented
392	C₂²×C₇×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
393	C₂²×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic
394	C₂²×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
395	C₂×#1159	C₂²×C₃	1	1	yes	characteristic, complemented
396	C₂×#1159	C₂²×C₃	1	1	yes	characteristic, complemented
397	C₂×D₄×D₇	C₂²×C₃	1	1	yes	characteristic
398	C₂×D₄×D₇	C₂²×C₃	1	1	yes	characteristic, complemented
399	C₂×D₄×D₇	C₂²×C₃	1	1	yes	characteristic, complemented
400	C₂×#1157	C₂²×C₃	1	1	yes	characteristic, complemented
401	C₂²×C₄×D₇	C₂²×C₃	1	1	yes	characteristic, complemented
402	C₂²×C₄×D₇	C₂²×C₃	1	1	yes	characteristic, complemented
403	C₇×#124	C₂²×C₃	1	1	yes	characteristic, complemented
404	C₇×#123	C₂²×C₃	1	1	yes	characteristic, complemented
405	C₇×#123	C₂²×C₃	1	1	yes	characteristic, complemented
406	C₇×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
407	C₇×#121	C₂²×C₃	1	1	yes	characteristic, complemented
408	C₇×#121	C₂²×C₃	1	1	yes	characteristic, complemented
409	C₇×#121	C₂²×C₃	1	1	yes	characteristic, complemented
410	C₇×#120	C₂²×C₃	1	1	yes	characteristic
411	C₇×#120	C₂²×C₃	1	1	yes	characteristic, complemented
412	C₄×C₇×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
413	C₄×C₇×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
414	C₂×C₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
415	C₂×C₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
416	#6516	C₂²×C₃	1	1	yes	characteristic
417	#6516	C₂²×C₃	1	1	yes	characteristic, complemented
418	C₂×C₂²⋊Dic₇	C₂²×C₃	1	1	yes	characteristic, complemented
419	C₂×C₂²⋊Dic₇	C₂²×C₃	1	1	yes	characteristic, complemented
420	C₂×C₂²⋊Dic₇	C₂²×C₃	1	1	yes	characteristic, complemented
421	#6510	C₂²×C₃	1	1	yes	characteristic, complemented
422	#6509	C₂²×C₃	1	1	yes	characteristic, complemented
423	#6509	C₂²×C₃	1	1	yes	characteristic, complemented
424	#6509	C₂²×C₃	1	1	yes	characteristic, complemented
425	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
426	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
427	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
428	#6502	C₂²×C₃	1	1	yes	characteristic, complemented
429	#6501	C₂²×C₃	1	1	yes	characteristic, complemented
430	#6501	C₂²×C₃	1	1	yes	characteristic, complemented
431	#6501	C₂²×C₃	1	1	yes	characteristic, complemented
432	#6501	C₂²×C₃	1	1	yes	characteristic, complemented
433	#6500	C₂²×C₃	1	1	yes	characteristic
434	#6500	C₂²×C₃	1	1	yes	characteristic
435	#6500	C₂²×C₃	1	1	yes	characteristic
436	#6500	C₂²×C₃	1	1	yes	characteristic
437	#6500	C₂²×C₃	1	1	yes	characteristic
438	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
439	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
440	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
441	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
442	#6500	C₂²×C₃	1	1	yes	characteristic, complemented
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	#6499	C₂²×C₃	1	1	yes	characteristic, complemented
447	#6499	C₂²×C₃	1	1	yes	characteristic, complemented
448	#6498	C₂²×C₃	1	1	yes	characteristic, complemented
449	#6498	C₂²×C₃	1	1	yes	characteristic, complemented
450	#6498	C₂²×C₃	1	1	yes	characteristic, complemented
451	#6498	C₂²×C₃	1	1	yes	characteristic, complemented
452	#6498	C₂²×C₃	1	1	yes	characteristic, complemented
453	D₄×Dic₇	C₂²×C₃	1	1	yes	characteristic, complemented
454	D₄×Dic₇	C₂²×C₃	1	1	yes	characteristic, complemented
455	D₄×Dic₇	C₂²×C₃	1	1	yes	characteristic, complemented
456	#6493	C₂²×C₃	1	1	yes	characteristic, complemented
457	#6492	C₂²×C₃	1	1	yes	characteristic, complemented
458	#6492	C₂²×C₃	1	1	yes	characteristic, complemented
459	#6492	C₂²×C₃	1	1	yes	characteristic, complemented
460	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
461	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
462	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
463	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
464	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
465	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
466	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
467	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
468	C₄×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic, complemented
469	C₂×(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic
470	C₂×(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
471	C₂×(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
472	C₂×(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
473	C₂×(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
474	#6489	C₂²×C₃	1	1	yes	characteristic, complemented
475	#6487	C₂²×C₃	1	1	yes	characteristic, complemented
476	#6487	C₂²×C₃	1	1	yes	characteristic, complemented
477	#6461	C₂²×C₃	1	1	yes	characteristic, complemented
478	#6461	C₂²×C₃	1	1	yes	characteristic, complemented
479	#6461	C₂²×C₃	1	1	yes	characteristic, complemented
480	#6460	C₂²×C₃	1	1	yes	characteristic, complemented
481	#6460	C₂²×C₃	1	1	yes	characteristic, complemented
482	#6459	C₂²×C₃	1	1	yes	characteristic, complemented
483	#6459	C₂²×C₃	1	1	yes	characteristic, complemented
484	#6459	C₂²×C₃	1	1	yes	characteristic, complemented
485	#6459	C₂²×C₃	1	1	yes	characteristic, complemented
486	#6459	C₂²×C₃	1	1	yes	characteristic, complemented
487	#6457	C₂²×C₃	1	1	yes	characteristic, complemented
488	#6457	C₂²×C₃	1	1	yes	characteristic, complemented
489	#6456	C₂²×C₃	1	1	yes	characteristic, complemented
490	#6456	C₂²×C₃	1	1	yes	characteristic, complemented
491	#6455	C₂²×C₃	1	1	yes	characteristic, complemented
492	#6455	C₂²×C₃	1	1	yes	characteristic, complemented
493	#6449	C₂²×C₃	1	1	yes	characteristic, complemented
494	#6449	C₂²×C₃	1	1	yes	characteristic, complemented
495	#6448	C₂²×C₃	1	1	yes	characteristic, complemented
496	#6448	C₂²×C₃	1	1	yes	characteristic, complemented
497	#6448	C₂²×C₃	1	1	yes	characteristic, complemented
498	#6448	C₂²×C₃	1	1	yes	characteristic, complemented
499	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
500	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
501	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
502	#6447	C₂²×C₃	1	1	yes	characteristic, complemented
503	#6446	C₂²×C₃	1	1	yes	characteristic, complemented
504	#6446	C₂²×C₃	1	1	yes	characteristic, complemented
505	#6446	C₂²×C₃	1	1	yes	characteristic, complemented
506	#6446	C₂²×C₃	1	1	yes	characteristic, complemented
507	#6446	C₂²×C₃	1	1	yes	characteristic, complemented
508	#6446	C₂²×C₃	1	1	yes	characteristic, complemented
509	#6445	C₂²×C₃	1	1	yes	characteristic
510	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
511	#6445	C₂²×C₃	1	1	yes	characteristic, complemented
512	(C₂²⋊D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
513	(C₂²⋊D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
514	(C₂²⋊D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
515	(C₂²⋊D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
516	(C₂²⋊D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
517	(C₂²⋊D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
518	(C₂²⋊D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
519	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
520	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
521	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
522	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
523	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
524	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
525	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
526	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
527	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
528	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
529	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
530	D₇×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
531	#6442	C₂²×C₃	1	1	yes	characteristic, complemented
532	#6442	C₂²×C₃	1	1	yes	characteristic, complemented
533	#6442	C₂²×C₃	1	1	yes	characteristic, complemented
534	#6442	C₂²×C₃	1	1	yes	characteristic, complemented
535	#6441	C₂²×C₃	1	1	yes	characteristic, complemented
536	#6441	C₂²×C₃	1	1	yes	characteristic, complemented
537	#6441	C₂²×C₃	1	1	yes	characteristic, complemented
538	#6440	C₂²×C₃	1	1	yes	characteristic, complemented
539	#6440	C₂²×C₃	1	1	yes	characteristic, complemented
540	#6440	C₂²×C₃	1	1	yes	characteristic, complemented
541	#6439	C₂²×C₃	1	1	yes	characteristic, complemented
542	C₄×D₂₈	C₂²×C₃	1	1	yes	characteristic, complemented
543	#6435	C₂²×C₃	1	1	yes	characteristic, complemented
544	#6435	C₂²×C₃	1	1	yes	characteristic, complemented
545	C₃×#551	—	7	1	no	—
546	C₃×#551	—	7	1	no	—
547	C₃×#551	—	7	1	no	—
548	C₃×#551	—	7	1	no	—
549	C₃×#551	—	7	1	no	—
550	C₃×#551	—	7	1	no	—
551	C₃×#551	—	7	1	no	—
552	C₃×#551	—	7	1	no	—
553	C₃×#546	—	7	1	no	—
554	C₃×#546	—	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×#543	—	7	1	no	—
562	C₃×#538	—	7	1	no	—
563	C₃×#538	—	7	1	no	—
564	C₃×#538	—	7	1	no	—
565	C₃×#538	—	7	1	no	—
566	C₃×#534	—	7	1	no	—
567	C₃×#525	—	7	1	no	—
568	C₃×#525	—	7	1	no	—
569	C₃×#525	—	7	1	no	—
570	C₃×#525	—	7	1	no	—
571	C₂×C₃×#120	—	7	1	no	—
572	C₂×C₃×#120	—	7	1	no	—
573	C₃×#518	—	7	1	no	—
574	C₃×#518	—	7	1	no	—
575	C₂²×C₃×C₂²⋊C₄	—	7	1	no	—
576	C₂³×ΓL(1,𝔽₈)	—	2	2	no	—
577	C₂³×ΓL(1,𝔽₈)	—	2	2	no	—
578	C₂³×ΓL(1,𝔽₈)	—	2	2	no	—
579	C₂³×ΓL(1,𝔽₈)	—	4	1	no	—
580	C₂³×ΓL(1,𝔽₈)	—	4	1	no	—
581	C₂³×ΓL(1,𝔽₈)	—	4	1	no	—
582	C₂³×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
583	C₂³×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
584	C₂³×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
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	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
589	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
590	C₂²×AGL(1,𝔽₇)	—	2	2	no	—
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)	—	4	1	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	16	no	—
609	C₂²×AGL(1,𝔽₇)	#41	1	4	yes	complemented
610	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
611	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
612	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
613	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
614	C₂²×AGL(1,𝔽₇)	C₂⁴	1	1	yes	characteristic
615	Q₈×ΓL(1,𝔽₈)	—	4	1	no	—
616	D₄×ΓL(1,𝔽₈)	—	2	2	no	—
617	D₄×ΓL(1,𝔽₈)	—	2	2	no	—
618	D₄×ΓL(1,𝔽₈)	—	2	2	no	—
619	D₄×ΓL(1,𝔽₈)	—	2	2	no	—
620	D₄×ΓL(1,𝔽₈)	—	4	1	no	—
621	D₄×ΓL(1,𝔽₈)	—	4	1	no	—
622	D₄×ΓL(1,𝔽₈)	—	4	1	no	—
623	D₄×ΓL(1,𝔽₈)	—	4	1	no	—
624	D₄×ΓL(1,𝔽₈)	—	4	1	no	—
625	C₂×C₄×ΓL(1,𝔽₈)	—	2	2	no	—
626	C₂×C₄×ΓL(1,𝔽₈)	—	4	1	no	—
627	C₂×C₄×ΓL(1,𝔽₈)	—	4	1	no	—
628	C₂×C₄×ΓL(1,𝔽₈)	—	4	1	no	—
629	C₂×C₄×ΓL(1,𝔽₈)	—	4	1	no	—
630	C₂×C₄×ΓL(1,𝔽₈)	—	4	1	no	—
631	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
632	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
635	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
636	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
637	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
638	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
639	C₂×C₄×ΓL(1,𝔽₈)	C₂⁴	1	1	yes	characteristic
640	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
641	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
642	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
643	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
644	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
645	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
646	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
647	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
648	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
649	(C₂²⋊D₇)⋊C₃	—	2	2	no	—
650	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
651	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
652	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
653	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
654	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
655	(C₂²⋊D₇)⋊C₃	—	4	1	no	—
656	C₂×ΓL(1,𝔽₈)⋊C₄	—	2	2	no	—
657	C₂×ΓL(1,𝔽₈)⋊C₄	—	2	2	no	—
658	C₂×ΓL(1,𝔽₈)⋊C₄	—	4	1	no	—
659	C₂×ΓL(1,𝔽₈)⋊C₄	—	4	1	no	—
660	C₂×ΓL(1,𝔽₈)⋊C₄	—	4	1	no	—
661	C₂×ΓL(1,𝔽₈)⋊C₄	—	4	1	no	—
662	C₂×ΓL(1,𝔽₈)⋊C₄	—	4	1	no	—
663	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
664	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
665	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
666	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
667	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
668	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
669	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
670	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
671	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
672	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
673	C₂×ΓL(1,𝔽₈)⋊C₄	C₂⁴	1	1	yes	characteristic
674	C₄⋊AGL(1,𝔽₇)	—	2	2	no	—
675	C₄⋊AGL(1,𝔽₇)	—	2	2	no	—
676	C₄⋊AGL(1,𝔽₇)	—	4	1	no	—
677	C₄×AGL(1,𝔽₇)	—	2	2	no	—
678	C₄×AGL(1,𝔽₇)	—	2	2	no	—
679	C₄×AGL(1,𝔽₇)	—	2	2	no	—
680	C₄×AGL(1,𝔽₇)	—	4	1	no	—
681	C₄×AGL(1,𝔽₇)	—	4	1	no	—
682	C₄×AGL(1,𝔽₇)	—	4	1	no	—
683	C₄×AGL(1,𝔽₇)	—	4	1	no	—
684	C₄×AGL(1,𝔽₇)	—	4	1	no	—
685	C₄×AGL(1,𝔽₇)	—	4	1	no	—
686	C₄×AGL(1,𝔽₇)	—	4	1	no	—
687	C₄×AGL(1,𝔽₇)	—	4	1	no	—
688	C₄×AGL(1,𝔽₇)	—	4	1	no	—
689	C₄×AGL(1,𝔽₇)	—	4	1	no	—
690	ΓL(1,𝔽₈)⋊Q₈	—	4	1	no	—
691	ΓL(1,𝔽₈)⋊Q₈	—	4	1	no	—
692	ΓL(1,𝔽₈)⋊Q₈	—	4	1	no	—
693	#3490	—	7	1	no	Sylow
694	C₂⁴×C₇	C₂³×C₃	1	1	yes	characteristic
695	C₂⁴×C₇	C₂³×C₃	1	1	yes	characteristic
696	C₂³×D₇	—	2	4	no	—
697	C₂³×D₇	—	4	2	no	—
698	C₂³×D₇	—	4	2	no	—
699	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
700	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
701	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
702	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
703	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
704	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
705	C₂³×D₇	C₂³×C₃	1	1	yes	characteristic
706	C₇×#41	—	4	2	no	—
707	C₂×C₇×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
708	C₂×C₇×D₄	—	4	2	no	—
709	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
710	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
711	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
712	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
713	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
714	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
715	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic
716	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
717	C₂×C₇×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
718	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic
719	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic
720	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic
721	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic, complemented
722	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic, complemented
723	C₂²×C₄×C₇	C₂³×C₃	1	1	yes	characteristic, complemented
724	C₂×C₂²⋊D₇	—	2	4	no	—
725	C₂×C₂²⋊D₇	—	4	2	no	—
726	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
727	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
728	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
729	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
730	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
731	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
732	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
733	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
734	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
735	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
736	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
737	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
738	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
739	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic
740	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic, complemented
741	C₂×C₂²⋊D₇	C₂³×C₃	1	1	yes	characteristic, complemented
742	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic
743	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic
744	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic
745	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic
746	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
747	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
748	C₂²×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
749	#1159	—	4	2	no	—
750	#1159	—	4	2	no	—
751	D₄×D₇	—	2	4	no	—
752	D₄×D₇	—	4	2	no	—
753	D₄×D₇	—	4	2	no	—
754	#1157	—	4	2	no	—
755	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
756	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
757	C₂×D₂₈	C₂³×C₃	1	1	yes	characteristic
758	C₂×C₄×D₇	—	4	2	no	—
759	C₂×C₄×D₇	—	4	2	no	—
760	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
761	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
762	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
763	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
764	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
765	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
766	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
767	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
768	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
769	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
770	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic
771	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic, complemented
772	C₂×C₄×D₇	C₂³×C₃	1	1	yes	characteristic, complemented
773	C₂×Dic₁₄	C₂³×C₃	1	1	yes	characteristic, complemented
774	C₂×Dic₁₄	C₂³×C₃	1	1	yes	characteristic, complemented
775	C₂×Dic₁₄	C₂³×C₃	1	1	yes	characteristic, complemented
776	C₇×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
777	C₇×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
778	C₇×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
779	C₇×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
780	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
781	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
782	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
783	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
784	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
785	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
786	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
787	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
788	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
789	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
790	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
791	C₇×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
792	C₄²×C₇	C₂³×C₃	1	1	yes	characteristic, complemented
793	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
794	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
795	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
796	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
797	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
798	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
799	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
800	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
801	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
802	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
803	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic
804	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
805	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
806	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
807	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
808	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
809	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
810	C₂²⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
811	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
812	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
813	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
814	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
815	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
816	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
817	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
818	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
819	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
820	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
821	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
822	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
823	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
824	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
825	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
826	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
827	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
828	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
829	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
830	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
831	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
832	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic
833	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
834	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
835	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
836	(C₂×D₇)⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
837	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
838	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
839	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
840	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
841	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
842	C₄⋊Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
843	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
844	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
845	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
846	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
847	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
848	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
849	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
850	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
851	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
852	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
853	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
854	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
855	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
856	Dic₇⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
857	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
858	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
859	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
860	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
861	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
862	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
863	C₄×Dic₇	C₂³×C₃	1	1	yes	characteristic, complemented
864	C₂⁵×C₃	—	7	1	no	—
865	C₂×C₃×#41	—	7	1	no	—
866	C₂×C₃×#41	—	7	1	no	—
867	C₂×C₃×#41	—	7	1	no	—
868	C₂×C₃×#41	—	7	1	no	—
869	C₂²×C₃×D₄	—	7	1	no	—
870	C₂²×C₃×D₄	—	7	1	no	—
871	C₂²×C₃×D₄	—	7	1	no	—
872	C₂²×C₃×D₄	—	7	1	no	—
873	C₂²×C₃×D₄	—	7	1	no	—
874	C₂²×C₃×D₄	—	7	1	no	—
875	C₂³×C₃×C₄	—	7	1	no	—
876	C₂³×C₃×C₄	—	7	1	no	—
877	C₃×#126	—	7	1	no	—
878	C₃×#126	—	7	1	no	—
879	C₃×#126	—	7	1	no	—
880	C₃×#126	—	7	1	no	—
881	C₃×#126	—	7	1	no	—
882	C₃×#126	—	7	1	no	—
883	C₃×#126	—	7	1	no	—
884	C₃×#126	—	7	1	no	—
885	C₃×#124	—	7	1	no	—
886	C₃×#124	—	7	1	no	—
887	C₃×#124	—	7	1	no	—
888	C₃×#124	—	7	1	no	—
889	C₃×#124	—	7	1	no	—
890	C₃×#124	—	7	1	no	—
891	C₃×#124	—	7	1	no	—
892	C₃×#124	—	7	1	no	—
893	C₃×#123	—	7	1	no	—
894	C₃×#123	—	7	1	no	—
895	C₃×#123	—	7	1	no	—
896	C₃×#123	—	7	1	no	—
897	C₃×#123	—	7	1	no	—
898	C₃×#123	—	7	1	no	—
899	C₃×#123	—	7	1	no	—
900	C₃×#123	—	7	1	no	—
901	C₃×#123	—	7	1	no	—
902	C₃×#123	—	7	1	no	—
903	C₃×#123	—	7	1	no	—
904	C₃×#123	—	7	1	no	—
905	C₃×#123	—	7	1	no	—
906	C₃×#123	—	7	1	no	—
907	C₃×#123	—	7	1	no	—
908	C₃×#123	—	7	1	no	—
909	C₃×#123	—	7	1	no	—
910	C₃×#123	—	7	1	no	—
911	C₃×#123	—	7	1	no	—
912	C₃×#123	—	7	1	no	—
913	C₃×C₂²⋊Q₈	—	7	1	no	—
914	C₃×C₂²⋊Q₈	—	7	1	no	—
915	C₃×C₂²⋊Q₈	—	7	1	no	—
916	C₃×C₂²⋊Q₈	—	7	1	no	—
917	C₃×C₂²⋊Q₈	—	7	1	no	—
918	C₃×C₂²⋊Q₈	—	7	1	no	—
919	C₃×C₂²⋊Q₈	—	7	1	no	—
920	C₃×C₂²⋊Q₈	—	7	1	no	—
921	C₃×C₂²⋊Q₈	—	7	1	no	—
922	C₃×C₂²⋊Q₈	—	7	1	no	—
923	C₃×C₂²⋊Q₈	—	7	1	no	—
924	C₃×C₂²⋊Q₈	—	7	1	no	—
925	C₃×C₂²⋊Q₈	—	7	1	no	—
926	C₃×C₂²⋊Q₈	—	7	1	no	—
927	C₃×C₂²⋊Q₈	—	7	1	no	—
928	C₃×C₂²⋊Q₈	—	7	1	no	—
929	C₃×#121	—	7	1	no	—
930	C₃×#121	—	7	1	no	—
931	C₃×#121	—	7	1	no	—
932	C₃×#121	—	7	1	no	—
933	C₃×#121	—	7	1	no	—
934	C₃×#121	—	7	1	no	—
935	C₃×#121	—	7	1	no	—
936	C₃×#121	—	7	1	no	—
937	C₃×#121	—	7	1	no	—
938	C₃×#121	—	7	1	no	—
939	C₃×#121	—	7	1	no	—
940	C₃×#121	—	7	1	no	—
941	C₃×#121	—	7	1	no	—
942	C₃×#121	—	7	1	no	—
943	C₃×#121	—	7	1	no	—
944	C₃×#121	—	7	1	no	—
945	C₃×#120	—	7	1	no	—
946	C₃×#120	—	7	1	no	—
947	C₃×#120	—	7	1	no	—
948	C₃×#120	—	7	1	no	—
949	C₃×#120	—	7	1	no	—
950	C₃×#120	—	7	1	no	—
951	C₃×#120	—	7	1	no	—
952	C₃×#120	—	7	1	no	—
953	C₃×#120	—	7	1	no	—
954	C₃×#120	—	7	1	no	—
955	C₃×#120	—	7	1	no	—
956	C₃×#120	—	7	1	no	—
957	C₃×#120	—	7	1	no	—
958	C₃×#120	—	7	1	no	—
959	C₃×#120	—	7	1	no	—
960	C₃×#120	—	7	1	no	—
961	C₃×#120	—	7	1	no	—
962	C₃×#120	—	7	1	no	—
963	C₃×#120	—	7	1	no	—
964	C₃×#120	—	7	1	no	—
965	C₃×C₄×D₄	—	7	1	no	—
966	C₃×C₄×D₄	—	7	1	no	—
967	C₃×C₄×D₄	—	7	1	no	—
968	C₃×C₄×D₄	—	7	1	no	—
969	C₃×C₄×D₄	—	7	1	no	—
970	C₃×C₄×D₄	—	7	1	no	—
971	C₃×C₄×D₄	—	7	1	no	—
972	C₃×C₄×D₄	—	7	1	no	—
973	C₃×C₄×D₄	—	7	1	no	—
974	C₃×C₄×D₄	—	7	1	no	—
975	C₃×C₄×D₄	—	7	1	no	—
976	C₃×C₄×D₄	—	7	1	no	—
977	C₃×C₄×D₄	—	7	1	no	—
978	C₃×C₄×D₄	—	7	1	no	—
979	C₃×C₄×D₄	—	7	1	no	—
980	C₃×C₄×D₄	—	7	1	no	—
981	C₃×C₄×D₄	—	7	1	no	—
982	C₃×C₄×D₄	—	7	1	no	—
983	C₃×C₄×D₄	—	7	1	no	—
984	C₃×C₄×D₄	—	7	1	no	—
985	C₃×C₄×D₄	—	7	1	no	—
986	C₃×C₄×D₄	—	7	1	no	—
987	C₃×C₄×D₄	—	7	1	no	—
988	C₃×C₄×D₄	—	7	1	no	—
989	C₃×#117	—	7	1	no	—
990	C₃×#117	—	7	1	no	—
991	C₃×#117	—	7	1	no	—
992	C₃×#117	—	7	1	no	—
993	C₃×#117	—	7	1	no	—
994	C₃×#117	—	7	1	no	—
995	C₃×#117	—	7	1	no	—
996	C₃×#117	—	7	1	no	—
997	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
998	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
999	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1000	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1001	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1002	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1003	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1004	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1005	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1006	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1007	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1008	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1009	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1010	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1011	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1012	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1013	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1014	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1015	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1016	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1017	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1018	C₂×C₃×C₂²⋊C₄	—	7	1	no	—
1019	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1020	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1021	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1022	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1023	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1024	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1025	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1026	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1027	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1028	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1029	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1030	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1031	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1032	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1033	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1034	C₂²×ΓL(1,𝔽₈)	—	2	1	no	—
1035	C₂²×ΓL(1,𝔽₈)	—	4	4	no	—
1036	C₂²×ΓL(1,𝔽₈)	—	8	2	no	—
1037	C₂²×ΓL(1,𝔽₈)	C₂×#41	1	2	yes	—
1038	C₂²×ΓL(1,𝔽₈)	H(5,𝔽₂)	1	2	yes	—
1039	C₂²×ΓL(1,𝔽₈)	C₂⁵	1	1	yes	characteristic
1040	C₂×AGL(1,𝔽₇)	—	2	8	no	—
1041	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1042	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1043	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1044	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1045	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1046	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1047	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1048	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1049	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1050	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1051	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1052	C₂×AGL(1,𝔽₇)	—	2	1	no	—
1053	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1054	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1055	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1056	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1057	C₂×AGL(1,𝔽₇)	—	4	4	no	—
1058	C₂×AGL(1,𝔽₇)	—	8	2	no	—
1059	C₂×AGL(1,𝔽₇)	C₂×#41	1	2	yes	—
1060	C₂×AGL(1,𝔽₇)	C₂×#41	1	2	yes	—
1061	C₂×AGL(1,𝔽₇)	H(5,𝔽₂)	1	2	yes	—
1062	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1063	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1064	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1065	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1066	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1067	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1068	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1069	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1070	C₄×ΓL(1,𝔽₈)	—	2	1	no	—
1071	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1072	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1073	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1074	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1075	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1076	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1077	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1078	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1079	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1080	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1081	ΓL(1,𝔽₈)⋊C₄	—	2	1	no	—
1082	#551	—	7	1	no	—
1083	#551	—	7	1	no	—
1084	#551	—	7	1	no	—
1085	#551	—	7	1	no	—
1086	#551	—	7	1	no	—
1087	#551	—	7	1	no	—
1088	#551	—	7	1	no	—
1089	#551	—	7	1	no	—
1090	#546	—	7	1	no	—
1091	#546	—	7	1	no	—
1092	#546	—	7	1	no	—
1093	#546	—	7	1	no	—
1094	#546	—	7	1	no	—
1095	#546	—	7	1	no	—
1096	#546	—	7	1	no	—
1097	#546	AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1098	#543	—	7	1	no	—
1099	#538	—	7	1	no	—
1100	#538	—	7	1	no	—
1101	#538	—	7	1	no	—
1102	#538	—	7	1	no	—
1103	#534	—	7	1	no	—
1104	#525	—	7	1	no	—
1105	#525	—	7	1	no	—
1106	#525	—	7	1	no	—
1107	#525	—	7	1	no	—
1108	C₂×#120	—	7	1	no	—
1109	C₂×#120	—	7	1	no	—
1110	#518	—	7	1	no	—
1111	#518	—	7	1	no	—
1112	C₂²×C₂²⋊C₄	—	7	1	no	—
1113	C₂³×C₇	—	2	2	no	—
1114	C₂³×C₇	—	2	2	no	—
1115	C₂³×C₇	—	2	2	no	—
1116	C₂³×C₇	—	4	1	no	—
1117	C₂³×C₇	—	4	1	no	—
1118	C₂³×C₇	—	4	1	no	—
1119	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1120	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1121	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1122	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1123	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1124	C₂³×C₇	C₂⁴×C₃	1	1	yes	characteristic
1125	C₂²×D₇	—	2	2	no	—
1126	C₂²×D₇	—	2	2	no	—
1127	C₂²×D₇	—	2	2	no	—
1128	C₂²×D₇	—	2	2	no	—
1129	C₂²×D₇	—	2	2	no	—
1130	C₂²×D₇	—	2	2	no	—
1131	C₂²×D₇	—	2	2	no	—
1132	C₂²×D₇	—	2	2	no	—
1133	C₂²×D₇	—	2	2	no	—
1134	C₂²×D₇	—	2	2	no	—
1135	C₂²×D₇	—	2	2	no	—
1136	C₂²×D₇	—	4	1	no	—
1137	C₂²×D₇	—	4	1	no	—
1138	C₂²×D₇	—	4	1	no	—
1139	C₂²×D₇	—	4	1	no	—
1140	C₂²×D₇	—	4	1	no	—
1141	C₂²×D₇	—	4	1	no	—
1142	C₂²×D₇	—	4	1	no	—
1143	C₂²×D₇	—	4	1	no	—
1144	C₂²×D₇	—	4	1	no	—
1145	C₂²×D₇	—	4	16	no	—
1146	C₂²×D₇	C₃×#41	1	4	yes	complemented
1147	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1148	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1149	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1150	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1151	C₂²×D₇	C₂⁴×C₃	1	1	yes	characteristic
1152	C₇×Q₈	—	4	1	no	—
1153	C₇×D₄	—	2	2	no	—
1154	C₇×D₄	—	2	2	no	—
1155	C₇×D₄	—	2	2	no	—
1156	C₇×D₄	—	2	2	no	—
1157	C₇×D₄	—	4	1	no	—
1158	C₇×D₄	—	4	1	no	—
1159	C₇×D₄	—	4	1	no	—
1160	C₇×D₄	—	4	1	no	—
1161	C₇×D₄	—	4	1	no	—
1162	C₂×C₄×C₇	—	2	2	no	—
1163	C₂×C₄×C₇	—	4	1	no	—
1164	C₂×C₄×C₇	—	4	1	no	—
1165	C₂×C₄×C₇	—	4	1	no	—
1166	C₂×C₄×C₇	—	4	1	no	—
1167	C₂×C₄×C₇	—	4	1	no	—
1168	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1169	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1170	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1171	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1172	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1173	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1174	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1175	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1176	C₂×C₄×C₇	C₂⁴×C₃	1	1	yes	characteristic
1177	C₂²⋊D₇	—	2	2	no	—
1178	C₂²⋊D₇	—	2	2	no	—
1179	C₂²⋊D₇	—	2	2	no	—
1180	C₂²⋊D₇	—	2	2	no	—
1181	C₂²⋊D₇	—	2	2	no	—
1182	C₂²⋊D₇	—	2	2	no	—
1183	C₂²⋊D₇	—	2	2	no	—
1184	C₂²⋊D₇	—	2	2	no	—
1185	C₂²⋊D₇	—	2	2	no	—
1186	C₂²⋊D₇	—	2	2	no	—
1187	C₂²⋊D₇	—	4	1	no	—
1188	C₂²⋊D₇	—	4	1	no	—
1189	C₂²⋊D₇	—	4	1	no	—
1190	C₂²⋊D₇	—	4	1	no	—
1191	C₂²⋊D₇	—	4	1	no	—
1192	C₂²⋊D₇	—	4	1	no	—
1193	C₂×Dic₇	—	2	2	no	—
1194	C₂×Dic₇	—	2	2	no	—
1195	C₂×Dic₇	—	4	1	no	—
1196	C₂×Dic₇	—	4	1	no	—
1197	C₂×Dic₇	—	4	1	no	—
1198	C₂×Dic₇	—	4	1	no	—
1199	C₂×Dic₇	—	4	1	no	—
1200	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1201	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1202	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1203	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1204	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1205	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1206	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1207	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1208	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1209	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1210	C₂×Dic₇	C₂⁴×C₃	1	1	yes	characteristic
1211	D₂₈	—	2	2	no	—
1212	D₂₈	—	2	2	no	—
1213	D₂₈	—	4	1	no	—
1214	C₄×D₇	—	2	2	no	—
1215	C₄×D₇	—	2	2	no	—
1216	C₄×D₇	—	2	2	no	—
1217	C₄×D₇	—	4	1	no	—
1218	C₄×D₇	—	4	1	no	—
1219	C₄×D₇	—	4	1	no	—
1220	C₄×D₇	—	4	1	no	—
1221	C₄×D₇	—	4	1	no	—
1222	C₄×D₇	—	4	1	no	—
1223	C₄×D₇	—	4	1	no	—
1224	C₄×D₇	—	4	1	no	—
1225	C₄×D₇	—	4	1	no	—
1226	C₄×D₇	—	4	1	no	—
1227	Dic₁₄	—	4	1	no	—
1228	Dic₁₄	—	4	1	no	—
1229	Dic₁₄	—	4	1	no	—
1230	C₂⁴×C₃	—	7	1	no	—
1231	C₂⁴×C₃	—	7	1	no	—
1232	C₂⁴×C₃	—	7	1	no	—
1233	C₂⁴×C₃	—	7	1	no	—
1234	C₂⁴×C₃	—	7	1	no	—
1235	C₂⁴×C₃	—	7	1	no	—
1236	C₂⁴×C₃	—	7	1	no	—
1237	C₂⁴×C₃	—	7	1	no	—
1238	C₂⁴×C₃	—	7	1	no	—
1239	C₂⁴×C₃	—	14	4	no	—
1240	C₂⁴×C₃	—	28	2	no	—
1241	C₂⁴×C₃	—	28	2	no	—
1242	C₃×#41	—	28	2	no	—
1243	C₃×#41	—	28	2	no	—
1244	C₃×#41	—	28	2	no	—
1245	C₃×#41	—	28	2	no	—
1246	C₂×C₃×Q₈	—	7	1	no	—
1247	C₂×C₃×Q₈	—	7	1	no	—
1248	C₂×C₃×Q₈	—	7	1	no	—
1249	C₂×C₃×Q₈	—	7	1	no	—
1250	C₂×C₃×D₄	—	7	1	no	—
1251	C₂×C₃×D₄	—	7	1	no	—
1252	C₂×C₃×D₄	—	7	1	no	—
1253	C₂×C₃×D₄	—	7	1	no	—
1254	C₂×C₃×D₄	—	7	1	no	—
1255	C₂×C₃×D₄	—	7	1	no	—
1256	C₂×C₃×D₄	—	7	1	no	—
1257	C₂×C₃×D₄	—	7	1	no	—
1258	C₂×C₃×D₄	—	7	1	no	—
1259	C₂×C₃×D₄	—	7	1	no	—
1260	C₂×C₃×D₄	—	7	1	no	—
1261	C₂×C₃×D₄	—	7	1	no	—
1262	C₂×C₃×D₄	—	7	1	no	—
1263	C₂×C₃×D₄	—	7	1	no	—
1264	C₂×C₃×D₄	—	7	1	no	—
1265	C₂×C₃×D₄	—	7	1	no	—
1266	C₂×C₃×D₄	—	7	1	no	—
1267	C₂×C₃×D₄	—	7	1	no	—
1268	C₂×C₃×D₄	—	7	1	no	—
1269	C₂×C₃×D₄	—	7	1	no	—
1270	C₂×C₃×D₄	—	7	1	no	—
1271	C₂×C₃×D₄	—	7	1	no	—
1272	C₂×C₃×D₄	—	7	1	no	—
1273	C₂×C₃×D₄	—	7	1	no	—
1274	C₂×C₃×D₄	—	7	1	no	—
1275	C₂×C₃×D₄	—	7	1	no	—
1276	C₂×C₃×D₄	—	7	1	no	—
1277	C₂×C₃×D₄	—	7	1	no	—
1278	C₂×C₃×D₄	—	14	4	no	—
1279	C₂×C₃×D₄	—	14	4	no	—
1280	C₂×C₃×D₄	—	28	2	no	—
1281	C₂×C₃×D₄	—	28	2	no	—
1282	C₂×C₃×D₄	—	28	2	no	—
1283	C₂×C₃×D₄	—	28	2	no	—
1284	C₂²×C₃×C₄	—	7	1	no	—
1285	C₂²×C₃×C₄	—	7	1	no	—
1286	C₂²×C₃×C₄	—	7	1	no	—
1287	C₂²×C₃×C₄	—	7	1	no	—
1288	C₂²×C₃×C₄	—	7	1	no	—
1289	C₂²×C₃×C₄	—	7	1	no	—
1290	C₂²×C₃×C₄	—	7	1	no	—
1291	C₂²×C₃×C₄	—	7	1	no	—
1292	C₂²×C₃×C₄	—	7	1	no	—
1293	C₂²×C₃×C₄	—	7	1	no	—
1294	C₂²×C₃×C₄	—	7	1	no	—
1295	C₂²×C₃×C₄	—	7	1	no	—
1296	C₂²×C₃×C₄	—	7	1	no	—
1297	C₂²×C₃×C₄	—	7	1	no	—
1298	C₂²×C₃×C₄	—	7	1	no	—
1299	C₂²×C₃×C₄	—	7	1	no	—
1300	C₂²×C₃×C₄	—	7	1	no	—
1301	C₂²×C₃×C₄	—	7	1	no	—
1302	C₂²×C₃×C₄	—	7	1	no	—
1303	C₂²×C₃×C₄	—	7	1	no	—
1304	C₂²×C₃×C₄	—	7	1	no	—
1305	C₂²×C₃×C₄	—	7	1	no	—
1306	C₂²×C₃×C₄	—	7	1	no	—
1307	C₂²×C₃×C₄	—	7	1	no	—
1308	C₂²×C₃×C₄	—	7	1	no	—
1309	C₂²×C₃×C₄	—	7	1	no	—
1310	C₂²×C₃×C₄	—	28	2	no	—
1311	C₂²×C₃×C₄	—	28	2	no	—
1312	C₃×C₄⋊C₄	—	7	1	no	—
1313	C₃×C₄⋊C₄	—	7	1	no	—
1314	C₃×C₄⋊C₄	—	7	1	no	—
1315	C₃×C₄⋊C₄	—	7	1	no	—
1316	C₃×C₄⋊C₄	—	7	1	no	—
1317	C₃×C₄⋊C₄	—	7	1	no	—
1318	C₃×C₄⋊C₄	—	7	1	no	—
1319	C₃×C₄⋊C₄	—	7	1	no	—
1320	C₃×C₄⋊C₄	—	7	1	no	—
1321	C₃×C₄⋊C₄	—	7	1	no	—
1322	C₃×C₄⋊C₄	—	7	1	no	—
1323	C₃×C₄⋊C₄	—	7	1	no	—
1324	C₃×C₄⋊C₄	—	7	1	no	—
1325	C₃×C₄⋊C₄	—	7	1	no	—
1326	C₃×C₄⋊C₄	—	7	1	no	—
1327	C₃×C₄⋊C₄	—	7	1	no	—
1328	C₃×C₄⋊C₄	—	7	1	no	—
1329	C₃×C₄⋊C₄	—	7	1	no	—
1330	C₃×C₄⋊C₄	—	7	1	no	—
1331	C₃×C₄⋊C₄	—	7	1	no	—
1332	C₃×C₄⋊C₄	—	7	1	no	—
1333	C₃×C₄⋊C₄	—	7	1	no	—
1334	C₃×C₄⋊C₄	—	7	1	no	—
1335	C₃×C₄⋊C₄	—	7	1	no	—
1336	C₃×C₂²⋊C₄	—	7	1	no	—
1337	C₃×C₂²⋊C₄	—	7	1	no	—
1338	C₃×C₂²⋊C₄	—	7	1	no	—
1339	C₃×C₂²⋊C₄	—	7	1	no	—
1340	C₃×C₂²⋊C₄	—	7	1	no	—
1341	C₃×C₂²⋊C₄	—	7	1	no	—
1342	C₃×C₂²⋊C₄	—	7	1	no	—
1343	C₃×C₂²⋊C₄	—	7	1	no	—
1344	C₃×C₂²⋊C₄	—	7	1	no	—
1345	C₃×C₂²⋊C₄	—	7	1	no	—
1346	C₃×C₂²⋊C₄	—	7	1	no	—
1347	C₃×C₂²⋊C₄	—	7	1	no	—
1348	C₃×C₂²⋊C₄	—	7	1	no	—
1349	C₃×C₂²⋊C₄	—	7	1	no	—
1350	C₃×C₂²⋊C₄	—	7	1	no	—
1351	C₃×C₂²⋊C₄	—	7	1	no	—
1352	C₃×C₂²⋊C₄	—	7	1	no	—
1353	C₃×C₂²⋊C₄	—	7	1	no	—
1354	C₃×C₂²⋊C₄	—	7	1	no	—
1355	C₃×C₂²⋊C₄	—	7	1	no	—
1356	C₃×C₂²⋊C₄	—	7	1	no	—
1357	C₃×C₂²⋊C₄	—	7	1	no	—
1358	C₃×C₂²⋊C₄	—	7	1	no	—
1359	C₃×C₂²⋊C₄	—	7	1	no	—
1360	C₃×C₂²⋊C₄	—	7	1	no	—
1361	C₃×C₂²⋊C₄	—	7	1	no	—
1362	C₃×C₂²⋊C₄	—	7	1	no	—
1363	C₃×C₂²⋊C₄	—	7	1	no	—
1364	C₃×C₂²⋊C₄	—	7	1	no	—
1365	C₃×C₂²⋊C₄	—	7	1	no	—
1366	C₃×C₂²⋊C₄	—	7	1	no	—
1367	C₃×C₂²⋊C₄	—	7	1	no	—
1368	C₃×C₂²⋊C₄	—	7	1	no	—
1369	C₃×C₂²⋊C₄	—	7	1	no	—
1370	C₃×C₂²⋊C₄	—	7	1	no	—
1371	C₃×C₂²⋊C₄	—	7	1	no	—
1372	C₃×C₂²⋊C₄	—	7	1	no	—
1373	C₃×C₂²⋊C₄	—	7	1	no	—
1374	C₃×C₂²⋊C₄	—	7	1	no	—
1375	C₃×C₂²⋊C₄	—	7	1	no	—
1376	C₃×C₂²⋊C₄	—	7	1	no	—
1377	C₃×C₂²⋊C₄	—	7	1	no	—
1378	C₃×C₂²⋊C₄	—	7	1	no	—
1379	C₃×C₂²⋊C₄	—	7	1	no	—
1380	C₃×C₂²⋊C₄	—	7	1	no	—
1381	C₃×C₂²⋊C₄	—	7	1	no	—
1382	C₃×C₂²⋊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×C₄²	—	7	1	no	—
1393	C₃×C₄²	—	7	1	no	—
1394	C₃×C₄²	—	7	1	no	—
1395	C₃×C₄²	—	7	1	no	—
1396	C₃×C₄²	—	7	1	no	—
1397	C₃×C₄²	—	7	1	no	—
1398	C₃×C₄²	—	7	1	no	—
1399	C₃×C₄²	—	7	1	no	—
1400	C₂×ΓL(1,𝔽₈)	—	2	2	no	—
1401	C₂×ΓL(1,𝔽₈)	—	2	2	no	—
1402	C₂×ΓL(1,𝔽₈)	—	4	1	no	—
1403	C₂×ΓL(1,𝔽₈)	—	4	1	no	—
1404	C₂×ΓL(1,𝔽₈)	—	4	1	no	—
1405	C₂×ΓL(1,𝔽₈)	—	4	1	no	—
1406	C₂×ΓL(1,𝔽₈)	C₂²×#41	1	1	yes	characteristic
1407	C₂×ΓL(1,𝔽₈)	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1408	C₂×ΓL(1,𝔽₈)	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1409	AGL(1,𝔽₇)	—	2	2	no	—
1410	AGL(1,𝔽₇)	—	2	2	no	—
1411	AGL(1,𝔽₇)	—	2	2	no	—
1412	AGL(1,𝔽₇)	—	4	1	no	—
1413	AGL(1,𝔽₇)	—	4	1	no	—
1414	C₂⁵	—	7	1	no	—
1415	C₂×#41	—	7	1	no	—
1416	C₂×#41	—	7	1	no	—
1417	C₂×#41	—	7	1	no	—
1418	C₂×#41	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1419	C₂²×D₄	—	7	1	no	—
1420	C₂²×D₄	—	7	1	no	—
1421	C₂²×D₄	—	7	1	no	—
1422	C₂²×D₄	—	7	1	no	—
1423	C₂²×D₄	—	7	1	no	—
1424	C₂²×D₄	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1425	C₂³×C₄	—	7	1	no	—
1426	C₂³×C₄	—	7	1	no	—
1427	#126	—	7	1	no	—
1428	#126	—	7	1	no	—
1429	#126	—	7	1	no	—
1430	#126	—	7	1	no	—
1431	#126	—	7	1	no	—
1432	#126	—	7	1	no	—
1433	#126	—	7	1	no	—
1434	#126	—	7	1	no	—
1435	#124	—	7	1	no	—
1436	#124	—	7	1	no	—
1437	#124	—	7	1	no	—
1438	#124	—	7	1	no	—
1439	#124	—	7	1	no	—
1440	#124	—	7	1	no	—
1441	#124	—	7	1	no	—
1442	#124	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1443	#123	—	7	1	no	—
1444	#123	—	7	1	no	—
1445	#123	—	7	1	no	—
1446	#123	—	7	1	no	—
1447	#123	—	7	1	no	—
1448	#123	—	7	1	no	—
1449	#123	—	7	1	no	—
1450	#123	—	7	1	no	—
1451	#123	—	7	1	no	—
1452	#123	—	7	1	no	—
1453	#123	—	7	1	no	—
1454	#123	—	7	1	no	—
1455	#123	—	7	1	no	—
1456	#123	—	7	1	no	—
1457	#123	—	7	1	no	—
1458	#123	—	7	1	no	—
1459	#123	—	7	1	no	—
1460	#123	—	7	1	no	—
1461	#123	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1462	#123	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1463	C₂²⋊Q₈	—	7	1	no	—
1464	C₂²⋊Q₈	—	7	1	no	—
1465	C₂²⋊Q₈	—	7	1	no	—
1466	C₂²⋊Q₈	—	7	1	no	—
1467	C₂²⋊Q₈	—	7	1	no	—
1468	C₂²⋊Q₈	—	7	1	no	—
1469	C₂²⋊Q₈	—	7	1	no	—
1470	C₂²⋊Q₈	—	7	1	no	—
1471	C₂²⋊Q₈	—	7	1	no	—
1472	C₂²⋊Q₈	—	7	1	no	—
1473	C₂²⋊Q₈	—	7	1	no	—
1474	C₂²⋊Q₈	—	7	1	no	—
1475	C₂²⋊Q₈	—	7	1	no	—
1476	C₂²⋊Q₈	—	7	1	no	—
1477	C₂²⋊Q₈	—	7	1	no	—
1478	C₂²⋊Q₈	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1479	#121	—	7	1	no	—
1480	#121	—	7	1	no	—
1481	#121	—	7	1	no	—
1482	#121	—	7	1	no	—
1483	#121	—	7	1	no	—
1484	#121	—	7	1	no	—
1485	#121	—	7	1	no	—
1486	#121	—	7	1	no	—
1487	#121	—	7	1	no	—
1488	#121	—	7	1	no	—
1489	#121	—	7	1	no	—
1490	#121	—	7	1	no	—
1491	#121	—	7	1	no	—
1492	#121	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1493	#121	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1494	#121	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1495	#120	—	7	1	no	—
1496	#120	—	7	1	no	—
1497	#120	—	7	1	no	—
1498	#120	—	7	1	no	—
1499	#120	—	7	1	no	—
1500	#120	—	7	1	no	—
1501	#120	—	7	1	no	—
1502	#120	—	7	1	no	—
1503	#120	—	7	1	no	—
1504	#120	—	7	1	no	—
1505	#120	—	7	1	no	—
1506	#120	—	7	1	no	—
1507	#120	—	7	1	no	—
1508	#120	—	7	1	no	—
1509	#120	—	7	1	no	—
1510	#120	—	7	1	no	—
1511	#120	—	7	1	no	—
1512	#120	—	7	1	no	—
1513	#120	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic
1514	#120	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1515	C₄×D₄	—	7	1	no	—
1516	C₄×D₄	—	7	1	no	—
1517	C₄×D₄	—	7	1	no	—
1518	C₄×D₄	—	7	1	no	—
1519	C₄×D₄	—	7	1	no	—
1520	C₄×D₄	—	7	1	no	—
1521	C₄×D₄	—	7	1	no	—
1522	C₄×D₄	—	7	1	no	—
1523	C₄×D₄	—	7	1	no	—
1524	C₄×D₄	—	7	1	no	—
1525	C₄×D₄	—	7	1	no	—
1526	C₄×D₄	—	7	1	no	—
1527	C₄×D₄	—	7	1	no	—
1528	C₄×D₄	—	7	1	no	—
1529	C₄×D₄	—	7	1	no	—
1530	C₄×D₄	—	7	1	no	—
1531	C₄×D₄	—	7	1	no	—
1532	C₄×D₄	—	7	1	no	—
1533	C₄×D₄	—	7	1	no	—
1534	C₄×D₄	—	7	1	no	—
1535	C₄×D₄	—	7	1	no	—
1536	C₄×D₄	—	7	1	no	—
1537	C₄×D₄	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1538	C₄×D₄	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1539	#117	—	7	1	no	—
1540	#117	—	7	1	no	—
1541	#117	—	7	1	no	—
1542	#117	—	7	1	no	—
1543	#117	—	7	1	no	—
1544	#117	—	7	1	no	—
1545	#117	—	7	1	no	—
1546	#117	—	7	1	no	—
1547	C₂×C₂²⋊C₄	—	7	1	no	—
1548	C₂×C₂²⋊C₄	—	7	1	no	—
1549	C₂×C₂²⋊C₄	—	7	1	no	—
1550	C₂×C₂²⋊C₄	—	7	1	no	—
1551	C₂×C₂²⋊C₄	—	7	1	no	—
1552	C₂×C₂²⋊C₄	—	7	1	no	—
1553	C₂×C₂²⋊C₄	—	7	1	no	—
1554	C₂×C₂²⋊C₄	—	7	1	no	—
1555	C₂×C₂²⋊C₄	—	7	1	no	—
1556	C₂×C₂²⋊C₄	—	7	1	no	—
1557	C₂×C₂²⋊C₄	—	7	1	no	—
1558	C₂×C₂²⋊C₄	—	7	1	no	—
1559	C₂×C₂²⋊C₄	—	7	1	no	—
1560	C₂×C₂²⋊C₄	—	7	1	no	—
1561	C₂×C₂²⋊C₄	—	7	1	no	—
1562	C₂×C₂²⋊C₄	—	7	1	no	—
1563	C₂×C₂²⋊C₄	—	7	1	no	—
1564	C₂×C₂²⋊C₄	—	7	1	no	—
1565	C₂×C₂²⋊C₄	—	7	1	no	—
1566	C₂×C₂²⋊C₄	—	7	1	no	—
1567	C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1568	C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1569	C₂²×C₇	—	2	1	no	—
1570	C₂²×C₇	—	2	1	no	—
1571	C₂²×C₇	—	2	1	no	—
1572	C₂²×C₇	—	2	1	no	—
1573	C₂²×C₇	—	2	1	no	—
1574	C₂²×C₇	—	2	1	no	—
1575	C₂²×C₇	—	2	1	no	—
1576	C₂²×C₇	—	2	1	no	—
1577	C₂²×C₇	—	2	1	no	—
1578	C₂²×C₇	—	2	1	no	—
1579	C₂²×C₇	—	2	1	no	—
1580	C₂²×C₇	—	2	1	no	—
1581	C₂²×C₇	—	2	1	no	—
1582	C₂²×C₇	—	2	1	no	—
1583	C₂²×C₇	—	2	1	no	—
1584	C₂²×C₇	—	2	1	no	—
1585	C₂²×C₇	—	4	4	no	—
1586	C₂²×C₇	—	8	2	no	—
1587	C₂²×C₇	C₂×C₃×#41	1	2	yes	—
1588	C₂²×C₇	C₃×H(5,𝔽₂)	1	2	yes	—
1589	C₂²×C₇	C₂⁵×C₃	1	1	yes	characteristic
1590	C₂×D₇	—	2	8	no	—
1591	C₂×D₇	—	2	1	no	—
1592	C₂×D₇	—	2	1	no	—
1593	C₂×D₇	—	2	1	no	—
1594	C₂×D₇	—	2	1	no	—
1595	C₂×D₇	—	2	1	no	—
1596	C₂×D₇	—	2	1	no	—
1597	C₂×D₇	—	2	1	no	—
1598	C₂×D₇	—	2	1	no	—
1599	C₂×D₇	—	2	1	no	—
1600	C₂×D₇	—	2	1	no	—
1601	C₂×D₇	—	2	1	no	—
1602	C₂×D₇	—	2	1	no	—
1603	C₂×D₇	—	4	4	no	—
1604	C₂×D₇	—	4	4	no	—
1605	C₂×D₇	—	4	4	no	—
1606	C₂×D₇	—	4	4	no	—
1607	C₂×D₇	—	4	4	no	—
1608	C₂×D₇	—	8	2	no	—
1609	C₂×D₇	C₂×C₃×#41	1	2	yes	—
1610	C₂×D₇	C₂×C₃×#41	1	2	yes	—
1611	C₂×D₇	C₃×H(5,𝔽₂)	1	2	yes	—
1612	C₄×C₇	—	2	1	no	—
1613	C₄×C₇	—	2	1	no	—
1614	C₄×C₇	—	2	1	no	—
1615	C₄×C₇	—	2	1	no	—
1616	C₄×C₇	—	2	1	no	—
1617	C₄×C₇	—	2	1	no	—
1618	C₄×C₇	—	2	1	no	—
1619	C₄×C₇	—	2	1	no	—
1620	C₄×C₇	—	2	1	no	—
1621	Dic₇	—	2	1	no	—
1622	Dic₇	—	2	1	no	—
1623	Dic₇	—	2	1	no	—
1624	Dic₇	—	2	1	no	—
1625	Dic₇	—	2	1	no	—
1626	Dic₇	—	2	1	no	—
1627	Dic₇	—	2	1	no	—
1628	Dic₇	—	2	1	no	—
1629	Dic₇	—	2	1	no	—
1630	Dic₇	—	2	1	no	—
1631	Dic₇	—	2	1	no	—
1632	C₂³×C₃	—	7	1	no	—
1633	C₂³×C₃	—	7	1	no	—
1634	C₂³×C₃	—	7	1	no	—
1635	C₂³×C₃	—	7	4	no	—
1636	C₂³×C₃	—	7	1	no	—
1637	C₂³×C₃	—	7	1	no	—
1638	C₂³×C₃	—	7	1	no	—
1639	C₂³×C₃	—	7	1	no	—
1640	C₂³×C₃	—	7	1	no	—
1641	C₂³×C₃	—	7	1	no	—
1642	C₂³×C₃	—	7	1	no	—
1643	C₂³×C₃	—	7	1	no	—
1644	C₂³×C₃	—	14	2	no	—
1645	C₂³×C₃	—	14	2	no	—
1646	C₂³×C₃	—	14	2	no	—
1647	C₂³×C₃	—	14	2	no	—
1648	C₂³×C₃	—	14	2	no	—
1649	C₂³×C₃	—	14	2	no	—
1650	C₂³×C₃	—	14	2	no	—
1651	C₂³×C₃	—	14	2	no	—
1652	C₂³×C₃	—	14	2	no	—
1653	C₂³×C₃	—	14	2	no	—
1654	C₂³×C₃	—	14	2	no	—
1655	C₂³×C₃	—	14	2	no	—
1656	C₂³×C₃	—	14	2	no	—
1657	C₂³×C₃	—	14	2	no	—
1658	C₂³×C₃	—	28	1	no	—
1659	C₂³×C₃	—	28	1	no	—
1660	C₂³×C₃	—	28	1	no	—
1661	C₂³×C₃	—	28	1	no	—
1662	C₂³×C₃	—	28	1	no	—
1663	C₂³×C₃	—	28	1	no	—
1664	C₂³×C₃	—	28	1	no	—
1665	C₂³×C₃	—	28	1	no	—
1666	C₂³×C₃	—	28	1	no	—
1667	C₂³×C₃	—	28	1	no	—
1668	C₂³×C₃	—	28	1	no	—
1669	C₂³×C₃	—	28	1	no	—
1670	C₂³×C₃	—	28	16	no	—
1671	C₃×Q₈	—	28	1	no	—
1672	C₃×Q₈	—	28	1	no	—
1673	C₃×Q₈	—	28	1	no	—
1674	C₃×Q₈	—	28	1	no	—
1675	C₃×D₄	—	14	2	no	—
1676	C₃×D₄	—	14	2	no	—
1677	C₃×D₄	—	14	2	no	—
1678	C₃×D₄	—	14	2	no	—
1679	C₃×D₄	—	14	2	no	—
1680	C₃×D₄	—	14	2	no	—
1681	C₃×D₄	—	14	2	no	—
1682	C₃×D₄	—	14	2	no	—
1683	C₃×D₄	—	14	2	no	—
1684	C₃×D₄	—	14	2	no	—
1685	C₃×D₄	—	14	2	no	—
1686	C₃×D₄	—	14	2	no	—
1687	C₃×D₄	—	14	2	no	—
1688	C₃×D₄	—	14	2	no	—
1689	C₃×D₄	—	14	2	no	—
1690	C₃×D₄	—	14	2	no	—
1691	C₃×D₄	—	28	1	no	—
1692	C₃×D₄	—	28	1	no	—
1693	C₃×D₄	—	28	1	no	—
1694	C₃×D₄	—	28	1	no	—
1695	C₃×D₄	—	28	1	no	—
1696	C₃×D₄	—	28	1	no	—
1697	C₃×D₄	—	28	1	no	—
1698	C₃×D₄	—	28	1	no	—
1699	C₃×D₄	—	28	1	no	—
1700	C₃×D₄	—	28	1	no	—
1701	C₃×D₄	—	28	1	no	—
1702	C₃×D₄	—	28	1	no	—
1703	C₂×C₃×C₄	—	7	1	no	—
1704	C₂×C₃×C₄	—	7	1	no	—
1705	C₂×C₃×C₄	—	7	1	no	—
1706	C₂×C₃×C₄	—	7	1	no	—
1707	C₂×C₃×C₄	—	7	1	no	—
1708	C₂×C₃×C₄	—	7	1	no	—
1709	C₂×C₃×C₄	—	7	1	no	—
1710	C₂×C₃×C₄	—	7	1	no	—
1711	C₂×C₃×C₄	—	7	1	no	—
1712	C₂×C₃×C₄	—	7	1	no	—
1713	C₂×C₃×C₄	—	7	1	no	—
1714	C₂×C₃×C₄	—	7	1	no	—
1715	C₂×C₃×C₄	—	7	1	no	—
1716	C₂×C₃×C₄	—	7	1	no	—
1717	C₂×C₃×C₄	—	7	1	no	—
1718	C₂×C₃×C₄	—	7	1	no	—
1719	C₂×C₃×C₄	—	7	1	no	—
1720	C₂×C₃×C₄	—	7	1	no	—
1721	C₂×C₃×C₄	—	7	1	no	—
1722	C₂×C₃×C₄	—	7	1	no	—
1723	C₂×C₃×C₄	—	14	2	no	—
1724	C₂×C₃×C₄	—	14	2	no	—
1725	C₂×C₃×C₄	—	14	2	no	—
1726	C₂×C₃×C₄	—	14	2	no	—
1727	C₂×C₃×C₄	—	14	2	no	—
1728	C₂×C₃×C₄	—	14	2	no	—
1729	C₂×C₃×C₄	—	28	1	no	—
1730	C₂×C₃×C₄	—	28	1	no	—
1731	C₂×C₃×C₄	—	28	1	no	—
1732	C₂×C₃×C₄	—	28	1	no	—
1733	C₂×C₃×C₄	—	28	1	no	—
1734	C₂×C₃×C₄	—	28	1	no	—
1735	C₂×C₃×C₄	—	28	1	no	—
1736	C₂×C₃×C₄	—	28	1	no	—
1737	C₂×C₃×C₄	—	28	1	no	—
1738	C₂×C₃×C₄	—	28	1	no	—
1739	C₂×C₃×C₄	—	28	1	no	—
1740	C₂×C₃×C₄	—	28	1	no	—
1741	C₂×C₃×C₄	—	28	1	no	—
1742	C₂×C₃×C₄	—	28	1	no	—
1743	C₂×C₃×C₄	—	28	1	no	—
1744	C₂×C₃×C₄	—	28	1	no	—
1745	C₂×C₃×C₄	—	28	1	no	—
1746	C₂×C₃×C₄	—	28	1	no	—
1747	C₂×C₃×C₄	—	28	1	no	—
1748	C₂×C₃×C₄	—	28	1	no	—
1749	ΓL(1,𝔽₈)	#3490	1	1	yes	characteristic, complemented, Hall
1750	C₂⁴	—	7	1	no	—
1751	C₂⁴	—	7	1	no	—
1752	C₂⁴	—	7	1	no	—
1753	C₂⁴	—	7	1	no	—
1754	C₂⁴	—	7	1	no	—
1755	C₂⁴	—	7	1	no	—
1756	C₂⁴	—	7	1	no	—
1757	C₂⁴	—	14	4	no	—
1758	C₂⁴	—	28	2	no	—
1759	C₂⁴	—	28	2	no	—
1760	C₂⁴	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1761	C₂⁴	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1762	#41	—	4	2	no	—
1763	#41	—	28	2	no	—
1764	#41	—	28	2	no	—
1765	#41	—	28	2	no	—
1766	C₂×Q₈	—	7	1	no	—
1767	C₂×Q₈	—	7	1	no	—
1768	C₂×Q₈	—	7	1	no	—
1769	C₂×Q₈	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1770	C₂×D₄	—	4	2	no	—
1771	C₂×D₄	—	7	1	no	—
1772	C₂×D₄	—	7	1	no	—
1773	C₂×D₄	—	7	1	no	—
1774	C₂×D₄	—	7	1	no	—
1775	C₂×D₄	—	7	1	no	—
1776	C₂×D₄	—	7	1	no	—
1777	C₂×D₄	—	7	1	no	—
1778	C₂×D₄	—	7	1	no	—
1779	C₂×D₄	—	7	1	no	—
1780	C₂×D₄	—	7	1	no	—
1781	C₂×D₄	—	7	1	no	—
1782	C₂×D₄	—	7	1	no	—
1783	C₂×D₄	—	7	1	no	—
1784	C₂×D₄	—	7	1	no	—
1785	C₂×D₄	—	7	1	no	—
1786	C₂×D₄	—	7	1	no	—
1787	C₂×D₄	—	7	1	no	—
1788	C₂×D₄	—	7	1	no	—
1789	C₂×D₄	—	7	1	no	—
1790	C₂×D₄	—	14	4	no	—
1791	C₂×D₄	—	14	4	no	—
1792	C₂×D₄	—	28	2	no	—
1793	C₂×D₄	—	28	2	no	—
1794	C₂×D₄	—	28	2	no	—
1795	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1796	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1797	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1798	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1799	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1800	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1801	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1802	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1803	C₂×D₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1804	C₂²×C₄	—	7	1	no	—
1805	C₂²×C₄	—	7	1	no	—
1806	C₂²×C₄	—	7	1	no	—
1807	C₂²×C₄	—	7	1	no	—
1808	C₂²×C₄	—	7	1	no	—
1809	C₂²×C₄	—	7	1	no	—
1810	C₂²×C₄	—	7	1	no	—
1811	C₂²×C₄	—	7	1	no	—
1812	C₂²×C₄	—	7	1	no	—
1813	C₂²×C₄	—	7	1	no	—
1814	C₂²×C₄	—	7	1	no	—
1815	C₂²×C₄	—	7	1	no	—
1816	C₂²×C₄	—	7	1	no	—
1817	C₂²×C₄	—	7	1	no	—
1818	C₂²×C₄	—	7	1	no	—
1819	C₂²×C₄	—	7	1	no	—
1820	C₂²×C₄	—	7	1	no	—
1821	C₂²×C₄	—	7	1	no	—
1822	C₂²×C₄	—	7	1	no	—
1823	C₂²×C₄	—	7	1	no	—
1824	C₂²×C₄	—	28	2	no	—
1825	C₂²×C₄	—	28	2	no	—
1826	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1827	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1828	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1829	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1830	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1831	C₂²×C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1832	C₄⋊C₄	—	7	1	no	—
1833	C₄⋊C₄	—	7	1	no	—
1834	C₄⋊C₄	—	7	1	no	—
1835	C₄⋊C₄	—	7	1	no	—
1836	C₄⋊C₄	—	7	1	no	—
1837	C₄⋊C₄	—	7	1	no	—
1838	C₄⋊C₄	—	7	1	no	—
1839	C₄⋊C₄	—	7	1	no	—
1840	C₄⋊C₄	—	7	1	no	—
1841	C₄⋊C₄	—	7	1	no	—
1842	C₄⋊C₄	—	7	1	no	—
1843	C₄⋊C₄	—	7	1	no	—
1844	C₄⋊C₄	—	7	1	no	—
1845	C₄⋊C₄	—	7	1	no	—
1846	C₄⋊C₄	—	7	1	no	—
1847	C₄⋊C₄	—	7	1	no	—
1848	C₄⋊C₄	—	7	1	no	—
1849	C₄⋊C₄	—	7	1	no	—
1850	C₄⋊C₄	—	7	1	no	—
1851	C₄⋊C₄	—	7	1	no	—
1852	C₄⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1853	C₄⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1854	C₄⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1855	C₄⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1856	C₂²⋊C₄	—	7	1	no	—
1857	C₂²⋊C₄	—	7	1	no	—
1858	C₂²⋊C₄	—	7	1	no	—
1859	C₂²⋊C₄	—	7	1	no	—
1860	C₂²⋊C₄	—	7	1	no	—
1861	C₂²⋊C₄	—	7	1	no	—
1862	C₂²⋊C₄	—	7	1	no	—
1863	C₂²⋊C₄	—	7	1	no	—
1864	C₂²⋊C₄	—	7	1	no	—
1865	C₂²⋊C₄	—	7	1	no	—
1866	C₂²⋊C₄	—	7	1	no	—
1867	C₂²⋊C₄	—	7	1	no	—
1868	C₂²⋊C₄	—	7	1	no	—
1869	C₂²⋊C₄	—	7	1	no	—
1870	C₂²⋊C₄	—	7	1	no	—
1871	C₂²⋊C₄	—	7	1	no	—
1872	C₂²⋊C₄	—	7	1	no	—
1873	C₂²⋊C₄	—	7	1	no	—
1874	C₂²⋊C₄	—	7	1	no	—
1875	C₂²⋊C₄	—	7	1	no	—
1876	C₂²⋊C₄	—	7	1	no	—
1877	C₂²⋊C₄	—	7	1	no	—
1878	C₂²⋊C₄	—	7	1	no	—
1879	C₂²⋊C₄	—	7	1	no	—
1880	C₂²⋊C₄	—	7	1	no	—
1881	C₂²⋊C₄	—	7	1	no	—
1882	C₂²⋊C₄	—	7	1	no	—
1883	C₂²⋊C₄	—	7	1	no	—
1884	C₂²⋊C₄	—	7	1	no	—
1885	C₂²⋊C₄	—	7	1	no	—
1886	C₂²⋊C₄	—	7	1	no	—
1887	C₂²⋊C₄	—	7	1	no	—
1888	C₂²⋊C₄	—	7	1	no	—
1889	C₂²⋊C₄	—	7	1	no	—
1890	C₂²⋊C₄	—	7	1	no	—
1891	C₂²⋊C₄	—	7	1	no	—
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	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1901	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1902	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
1903	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic
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	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1911	C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1912	C₄²	—	7	1	no	—
1913	C₄²	—	7	1	no	—
1914	C₄²	—	7	1	no	—
1915	C₄²	—	7	1	no	—
1916	C₄²	—	7	1	no	—
1917	C₄²	—	7	1	no	—
1918	C₄²	—	7	1	no	—
1919	C₄²	C₂²×AGL(1,𝔽₇)	1	1	yes	characteristic, complemented
1920	C₂×C₇	—	2	2	no	—
1921	C₂×C₇	—	2	2	no	—
1922	C₂×C₇	—	4	1	no	—
1923	C₂×C₇	—	4	1	no	—
1924	C₂×C₇	—	4	1	no	—
1925	C₂×C₇	—	4	1	no	—
1926	C₂×C₇	C₂²×C₃×#41	1	1	yes	characteristic
1927	C₂×C₇	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1928	C₂×C₇	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1929	D₇	—	2	2	no	—
1930	D₇	—	2	2	no	—
1931	D₇	—	2	2	no	—
1932	D₇	—	4	1	no	—
1933	D₇	—	4	1	no	—
1934	C₂²×C₃	—	7	2	no	—
1935	C₂²×C₃	—	7	2	no	—
1936	C₂²×C₃	—	7	2	no	—
1937	C₂²×C₃	—	7	2	no	—
1938	C₂²×C₃	—	7	2	no	—
1939	C₂²×C₃	—	7	1	no	—
1940	C₂²×C₃	—	14	1	no	—
1941	C₂²×C₃	—	14	1	no	—
1942	C₂²×C₃	—	14	1	no	—
1943	C₂²×C₃	—	14	1	no	—
1944	C₂²×C₃	—	14	1	no	—
1945	C₂²×C₃	—	14	1	no	—
1946	C₂²×C₃	—	14	1	no	—
1947	C₂²×C₃	—	14	1	no	—
1948	C₂²×C₃	—	14	1	no	—
1949	C₂²×C₃	—	14	1	no	—
1950	C₂²×C₃	—	14	1	no	—
1951	C₂²×C₃	—	14	1	no	—
1952	C₂²×C₃	—	14	1	no	—
1953	C₂²×C₃	—	14	1	no	—
1954	C₂²×C₃	—	14	1	no	—
1955	C₂²×C₃	—	14	1	no	—
1956	C₂²×C₃	—	14	1	no	—
1957	C₂²×C₃	—	14	1	no	—
1958	C₂²×C₃	—	14	1	no	—
1959	C₂²×C₃	—	14	1	no	—
1960	C₂²×C₃	—	14	1	no	—
1961	C₂²×C₃	—	14	1	no	—
1962	C₂²×C₃	—	14	1	no	—
1963	C₂²×C₃	—	14	1	no	—
1964	C₂²×C₃	—	14	1	no	—
1965	C₂²×C₃	—	14	1	no	—
1966	C₂²×C₃	—	14	1	no	—
1967	C₂²×C₃	—	14	1	no	—
1968	C₂²×C₃	—	14	8	no	—
1969	C₂²×C₃	—	28	4	no	—
1970	C₂²×C₃	—	28	4	no	—
1971	C₂²×C₃	—	28	4	no	—
1972	C₂²×C₃	—	28	4	no	—
1973	C₂²×C₃	—	28	4	no	—
1974	C₂²×C₃	—	28	4	no	—
1975	C₂²×C₃	—	56	2	no	—
1976	C₂²×C₃	—	56	2	no	—
1977	C₃×C₄	—	14	1	no	—
1978	C₃×C₄	—	14	1	no	—
1979	C₃×C₄	—	14	1	no	—
1980	C₃×C₄	—	14	1	no	—
1981	C₃×C₄	—	14	1	no	—
1982	C₃×C₄	—	14	1	no	—
1983	C₃×C₄	—	14	1	no	—
1984	C₃×C₄	—	14	1	no	—
1985	C₃×C₄	—	14	1	no	—
1986	C₃×C₄	—	14	1	no	—
1987	C₃×C₄	—	14	1	no	—
1988	C₃×C₄	—	14	1	no	—
1989	C₃×C₄	—	14	1	no	—
1990	C₃×C₄	—	14	1	no	—
1991	C₃×C₄	—	14	1	no	—
1992	C₃×C₄	—	14	1	no	—
1993	C₃×C₄	—	14	1	no	—
1994	C₃×C₄	—	14	1	no	—
1995	C₃×C₄	—	14	1	no	—
1996	C₃×C₄	—	14	1	no	—
1997	C₂³	—	2	2	no	—
1998	C₂³	—	2	2	no	—
1999	C₂³	—	2	2	no	—
2000	C₂³	—	4	1	no	—
2001	C₂³	—	4	1	no	—
2002	C₂³	—	4	1	no	—
2003	C₂³	—	7	1	no	—
2004	C₂³	—	7	1	no	—
2005	C₂³	—	7	1	no	—
2006	C₂³	—	7	4	no	—
2007	C₂³	—	7	1	no	—
2008	C₂³	—	7	1	no	—
2009	C₂³	—	14	2	no	—
2010	C₂³	—	14	2	no	—
2011	C₂³	—	14	2	no	—
2012	C₂³	—	14	2	no	—
2013	C₂³	—	14	2	no	—
2014	C₂³	—	14	2	no	—
2015	C₂³	—	14	2	no	—
2016	C₂³	—	14	2	no	—
2017	C₂³	—	14	2	no	—
2018	C₂³	—	14	2	no	—
2019	C₂³	—	14	2	no	—
2020	C₂³	—	28	1	no	—
2021	C₂³	—	28	1	no	—
2022	C₂³	—	28	1	no	—
2023	C₂³	—	28	1	no	—
2024	C₂³	—	28	1	no	—
2025	C₂³	—	28	1	no	—
2026	C₂³	—	28	1	no	—
2027	C₂³	—	28	1	no	—
2028	C₂³	—	28	1	no	—
2029	C₂³	—	28	16	no	—
2030	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2031	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2032	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2033	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2034	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2035	C₂³	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2036	Q₈	—	4	1	no	—
2037	Q₈	—	28	1	no	—
2038	Q₈	—	28	1	no	—
2039	Q₈	—	28	1	no	—
2040	D₄	—	2	2	no	—
2041	D₄	—	2	2	no	—
2042	D₄	—	2	2	no	—
2043	D₄	—	2	2	no	—
2044	D₄	—	4	1	no	—
2045	D₄	—	4	1	no	—
2046	D₄	—	4	1	no	—
2047	D₄	—	4	1	no	—
2048	D₄	—	4	1	no	—
2049	D₄	—	14	2	no	—
2050	D₄	—	14	2	no	—
2051	D₄	—	14	2	no	—
2052	D₄	—	14	2	no	—
2053	D₄	—	14	2	no	—
2054	D₄	—	14	2	no	—
2055	D₄	—	14	2	no	—
2056	D₄	—	14	2	no	—
2057	D₄	—	14	2	no	—
2058	D₄	—	14	2	no	—
2059	D₄	—	14	2	no	—
2060	D₄	—	14	2	no	—
2061	D₄	—	28	1	no	—
2062	D₄	—	28	1	no	—
2063	D₄	—	28	1	no	—
2064	D₄	—	28	1	no	—
2065	D₄	—	28	1	no	—
2066	D₄	—	28	1	no	—
2067	D₄	—	28	1	no	—
2068	C₂×C₄	—	2	2	no	—
2069	C₂×C₄	—	4	1	no	—
2070	C₂×C₄	—	4	1	no	—
2071	C₂×C₄	—	4	1	no	—
2072	C₂×C₄	—	4	1	no	—
2073	C₂×C₄	—	4	1	no	—
2074	C₂×C₄	—	7	1	no	—
2075	C₂×C₄	—	7	1	no	—
2076	C₂×C₄	—	7	1	no	—
2077	C₂×C₄	—	7	1	no	—
2078	C₂×C₄	—	7	1	no	—
2079	C₂×C₄	—	7	1	no	—
2080	C₂×C₄	—	7	1	no	—
2081	C₂×C₄	—	7	1	no	—
2082	C₂×C₄	—	7	1	no	—
2083	C₂×C₄	—	7	1	no	—
2084	C₂×C₄	—	7	1	no	—
2085	C₂×C₄	—	14	2	no	—
2086	C₂×C₄	—	14	2	no	—
2087	C₂×C₄	—	14	2	no	—
2088	C₂×C₄	—	14	2	no	—
2089	C₂×C₄	—	14	2	no	—
2090	C₂×C₄	—	28	1	no	—
2091	C₂×C₄	—	28	1	no	—
2092	C₂×C₄	—	28	1	no	—
2093	C₂×C₄	—	28	1	no	—
2094	C₂×C₄	—	28	1	no	—
2095	C₂×C₄	—	28	1	no	—
2096	C₂×C₄	—	28	1	no	—
2097	C₂×C₄	—	28	1	no	—
2098	C₂×C₄	—	28	1	no	—
2099	C₂×C₄	—	28	1	no	—
2100	C₂×C₄	—	28	1	no	—
2101	C₂×C₄	—	28	1	no	—
2102	C₂×C₄	—	28	1	no	—
2103	C₂×C₄	—	28	1	no	—
2104	C₂×C₄	—	28	1	no	—
2105	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2106	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2107	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2108	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2109	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2110	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2111	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2112	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2113	C₂×C₄	C₂³×AGL(1,𝔽₇)	1	1	yes	characteristic
2114	C₇	C₃×#3490	1	1	yes	characteristic, complemented, Sylow
2115	C₂×C₃	—	7	1	no	—
2116	C₂×C₃	—	7	1	no	—
2117	C₂×C₃	—	7	1	no	—
2118	C₂×C₃	—	14	2	no	—
2119	C₂×C₃	—	14	2	no	—
2120	C₂×C₃	—	14	2	no	—
2121	C₂×C₃	—	14	2	no	—
2122	C₂×C₃	—	14	2	no	—
2123	C₂×C₃	—	28	1	no	—
2124	C₂×C₃	—	28	1	no	—
2125	C₂×C₃	—	28	1	no	—
2126	C₂×C₃	—	28	1	no	—
2127	C₂×C₃	—	28	1	no	—
2128	C₂×C₃	—	28	1	no	—
2129	C₂²	—	2	1	no	—
2130	C₂²	—	2	1	no	—
2131	C₂²	—	2	1	no	—
2132	C₂²	—	2	1	no	—
2133	C₂²	—	2	1	no	—
2134	C₂²	—	2	1	no	—
2135	C₂²	—	2	1	no	—
2136	C₂²	—	2	1	no	—
2137	C₂²	—	2	1	no	—
2138	C₂²	—	2	1	no	—
2139	C₂²	—	2	1	no	—
2140	C₂²	—	2	1	no	—
2141	C₂²	—	2	1	no	—
2142	C₂²	—	2	1	no	—
2143	C₂²	—	2	1	no	—
2144	C₂²	—	2	1	no	—
2145	C₂²	—	4	4	no	—
2146	C₂²	—	7	2	no	—
2147	C₂²	—	7	2	no	—
2148	C₂²	—	7	2	no	—
2149	C₂²	—	8	2	no	—
2150	C₂²	—	14	8	no	—
2151	C₂²	—	14	1	no	—
2152	C₂²	—	14	1	no	—
2153	C₂²	—	14	1	no	—
2154	C₂²	—	14	1	no	—
2155	C₂²	—	14	1	no	—
2156	C₂²	—	14	1	no	—
2157	C₂²	—	14	1	no	—
2158	C₂²	—	14	1	no	—
2159	C₂²	—	14	1	no	—
2160	C₂²	—	14	1	no	—
2161	C₂²	—	14	1	no	—
2162	C₂²	—	14	1	no	—
2163	C₂²	—	28	4	no	—
2164	C₂²	—	28	4	no	—
2165	C₂²	—	28	4	no	—
2166	C₂²	—	28	4	no	—
2167	C₂²	—	28	4	no	—
2168	C₂²	—	56	2	no	—
2169	C₂²	#6548⋊C₃	1	2	yes	—
2170	C₂²	#41×AGL(1,𝔽₇)	1	2	yes	—
2171	C₂²	C₂⁴×AGL(1,𝔽₇)	1	1	yes	characteristic
2172	C₄	—	2	1	no	—
2173	C₄	—	2	1	no	—
2174	C₄	—	2	1	no	—
2175	C₄	—	2	1	no	—
2176	C₄	—	2	1	no	—
2177	C₄	—	2	1	no	—
2178	C₄	—	2	1	no	—
2179	C₄	—	2	1	no	—
2180	C₄	—	2	1	no	—
2181	C₄	—	14	1	no	—
2182	C₄	—	14	1	no	—
2183	C₄	—	14	1	no	—
2184	C₄	—	14	1	no	—
2185	C₄	—	14	1	no	—
2186	C₄	—	14	1	no	—
2187	C₄	—	14	1	no	—
2188	C₄	—	14	1	no	—
2189	C₄	—	14	1	no	—
2190	C₄	—	14	1	no	—
2191	C₄	—	14	1	no	—
2192	C₃	—	7	1	no	Sylow
2193	C₂	—	2	2	no	—
2194	C₂	—	2	2	no	—
2195	C₂	—	4	1	no	—
2196	C₂	—	4	1	no	—
2197	C₂	—	4	1	no	—
2198	C₂	—	4	1	no	—
2199	C₂	—	14	2	no	—
2200	C₂	—	14	2	no	—
2201	C₂	—	14	2	no	—
2202	C₂	—	28	1	no	—
2203	C₂	—	28	1	no	—
2204	C₂	C₂×#6548⋊C₃	1	1	yes	characteristic
2205	C₂	C₂×#41×AGL(1,𝔽₇)	1	1	yes	characteristic
2206	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×#3490
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. #90520⋊C₃	C₂	semidirect
3. #90519⋊C₃	C₂	semidirect
4. #90497⋊C₃	C₂	semidirect
5. C₂×#6500⋊C₃	C₂	semidirect
6. #90370⋊C₃	C₂	semidirect
7. #90369⋊C₃	C₂	semidirect
8. #90350⋊C₃	C₂	semidirect
9. #90349⋊C₃	C₂	semidirect
10. #90348⋊C₃	C₂	semidirect
11. #90347⋊C₃	C₂	semidirect
12. #90328⋊C₃	C₂	semidirect
13. #90325⋊C₃	C₂	semidirect
14. #90304⋊C₃	C₂	semidirect
15. #90304⋊C₃	C₂	semidirect
16. #90303⋊C₃	C₂	semidirect
17. #90301⋊C₃	C₂	semidirect
18. #90301⋊C₃	C₂	semidirect
19. #90297⋊C₃	C₂	semidirect
20. #90282⋊C₃	C₂	semidirect
21. #90280⋊C₃	C₂	semidirect
22. #120×AGL(1,𝔽₇)	C₂	semidirect
23. #90278⋊C₃	C₂	semidirect
24. #90247⋊C₃	C₂	semidirect
25. #90247⋊C₃	C₂	semidirect
26. #90238⋊C₃	C₂	semidirect
27. #90236⋊C₃	C₂	semidirect
28. #90186⋊C₃	C₂	semidirect
29. #90181⋊C₃	C₂	semidirect
30. #90177⋊C₃	C₂	semidirect
31. C₂×C₂²⋊C₄×AGL(1,𝔽₇)	C₂	semidirect
32. #11743732	C₃	semidirect
34. C₂×#41×ΓL(1,𝔽₈)	C₂²	semidirect
35. C₂²×D₄×ΓL(1,𝔽₈)	C₂²	semidirect
37. C₂²×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
38. C₂×#1159⋊C₃	C₂²	semidirect
39. C₂×#1159⋊C₃	C₂²	semidirect
41. C₂×D₄×AGL(1,𝔽₇)	C₂²	semidirect
42. C₂×D₄×AGL(1,𝔽₇)	C₂²	semidirect
43. C₂×#1157⋊C₃	C₂²	semidirect
44. C₂²×C₄×AGL(1,𝔽₇)	C₂²	semidirect
45. C₂²×C₄×AGL(1,𝔽₇)	C₂²	semidirect
46. ΓL(1,𝔽₈)×#124	C₂²	semidirect
47. ΓL(1,𝔽₈)×#123	C₂²	semidirect
48. ΓL(1,𝔽₈)×#123	C₂²	semidirect
49. ΓL(1,𝔽₈)×C₂²⋊Q₈	C₂²	semidirect
50. ΓL(1,𝔽₈)×#121	C₂²	semidirect
51. ΓL(1,𝔽₈)×#121	C₂²	semidirect
52. ΓL(1,𝔽₈)×#121	C₂²	semidirect
54. ΓL(1,𝔽₈)×#120	C₂²	semidirect
55. C₄×D₄×ΓL(1,𝔽₈)	C₂²	semidirect
56. C₄×D₄×ΓL(1,𝔽₈)	C₂²	semidirect
57. C₂×C₂²⋊C₄×ΓL(1,𝔽₈)	C₂²	semidirect
58. C₂×C₂²⋊C₄×ΓL(1,𝔽₈)	C₂²	semidirect
60. #10620789	C₂²	semidirect
61. C₂×(C₂²⋊Dic₇)⋊C₃	C₂²	semidirect
62. C₂×(C₂²⋊Dic₇)⋊C₃	C₂²	semidirect
63. C₂×(C₂²⋊Dic₇)⋊C₃	C₂²	semidirect
64. #6510⋊C₃	C₂²	semidirect
65. #6509⋊C₃	C₂²	semidirect
66. #6509⋊C₃	C₂²	semidirect
67. #6509⋊C₃	C₂²	semidirect
68. #6502⋊C₃	C₂²	semidirect
69. #6502⋊C₃	C₂²	semidirect
70. #6502⋊C₃	C₂²	semidirect
71. #6502⋊C₃	C₂²	semidirect
72. #6501⋊C₃	C₂²	semidirect
73. #6501⋊C₃	C₂²	semidirect
74. #6501⋊C₃	C₂²	semidirect
75. #6501⋊C₃	C₂²	semidirect
81. #6500⋊C₃	C₂²	semidirect
82. #6500⋊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. #6499⋊C₃	C₂²	semidirect
90. #6499⋊C₃	C₂²	semidirect
91. #6498⋊C₃	C₂²	semidirect
92. #6498⋊C₃	C₂²	semidirect
93. #6498⋊C₃	C₂²	semidirect
94. #6498⋊C₃	C₂²	semidirect
95. #6498⋊C₃	C₂²	semidirect
96. D₄×ΓL(1,𝔽₈)⋊C₄	C₂²	semidirect
97. D₄×ΓL(1,𝔽₈)⋊C₄	C₂²	semidirect
98. D₄×ΓL(1,𝔽₈)⋊C₄	C₂²	semidirect
99. #6493⋊C₃	C₂²	semidirect
100. #6492⋊C₃	C₂²	semidirect
101. #6492⋊C₃	C₂²	semidirect
102. #6492⋊C₃	C₂²	semidirect
103. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
104. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
105. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
106. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
107. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
108. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
109. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
110. C₄×(C₂²⋊D₇)⋊C₃	C₂²	semidirect
111. 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. #6489⋊C₃	C₂²	semidirect
118. #6487⋊C₃	C₂²	semidirect
119. #6487⋊C₃	C₂²	semidirect
120. #6461⋊C₃	C₂²	semidirect
121. #6461⋊C₃	C₂²	semidirect
122. #6461⋊C₃	C₂²	semidirect
123. #6460⋊C₃	C₂²	semidirect
124. #6460⋊C₃	C₂²	semidirect
125. #6459⋊C₃	C₂²	semidirect
126. #6459⋊C₃	C₂²	semidirect
127. #6459⋊C₃	C₂²	semidirect
128. #6459⋊C₃	C₂²	semidirect
129. #6459⋊C₃	C₂²	semidirect
130. #6457⋊C₃	C₂²	semidirect
131. #6457⋊C₃	C₂²	semidirect
132. #6456⋊C₃	C₂²	semidirect
133. #6456⋊C₃	C₂²	semidirect
134. #6455⋊C₃	C₂²	semidirect
135. #6455⋊C₃	C₂²	semidirect
136. #6449⋊C₃	C₂²	semidirect
137. #6449⋊C₃	C₂²	semidirect
138. #6448⋊C₃	C₂²	semidirect
139. #6448⋊C₃	C₂²	semidirect
140. #6448⋊C₃	C₂²	semidirect
141. #6448⋊C₃	C₂²	semidirect
142. #6447⋊C₃	C₂²	semidirect
143. #6447⋊C₃	C₂²	semidirect
144. #6447⋊C₃	C₂²	semidirect
145. #6447⋊C₃	C₂²	semidirect
146. #6446⋊C₃	C₂²	semidirect
147. #6446⋊C₃	C₂²	semidirect
148. #6446⋊C₃	C₂²	semidirect
149. #6446⋊C₃	C₂²	semidirect
150. #6446⋊C₃	C₂²	semidirect
151. #6446⋊C₃	C₂²	semidirect
153. #6445⋊C₃	C₂²	semidirect
154. #6445⋊C₃	C₂²	semidirect
155. ((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	semidirect
156. ((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	semidirect
157. ((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	semidirect
158. ((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	semidirect
159. ((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	semidirect
160. ((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	semidirect
161. ((C₂²⋊D₇)⋊C₃)⋊C₄	C₂²	semidirect
165. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
166. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
167. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
168. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
169. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
170. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
171. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
172. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
173. C₂²⋊C₄×AGL(1,𝔽₇)	C₂²	semidirect
174. #6442⋊C₃	C₂²	semidirect
175. #6442⋊C₃	C₂²	semidirect
176. #6442⋊C₃	C₂²	semidirect
177. #6442⋊C₃	C₂²	semidirect
178. #6441⋊C₃	C₂²	semidirect
179. #6441⋊C₃	C₂²	semidirect
180. #6441⋊C₃	C₂²	semidirect
181. #6440⋊C₃	C₂²	semidirect
182. #6440⋊C₃	C₂²	semidirect
183. #6440⋊C₃	C₂²	semidirect
184. #10620712	C₂²	semidirect
185. C₄×C₄⋊AGL(1,𝔽₇)	C₂²	semidirect
186. #6435⋊C₃	C₂²	semidirect
187. #6435⋊C₃	C₂²	semidirect
188. C₇×#546	C₂×C₃	semidirect
189. #90520	C₂×C₃	semidirect
190. #90519	C₂×C₃	semidirect
191. #90497	C₂×C₃	semidirect
192. C₂×#6500	C₂×C₃	semidirect
193. #90370	C₂×C₃	semidirect
194. #90369	C₂×C₃	semidirect
195. #90350	C₂×C₃	semidirect
196. #90349	C₂×C₃	semidirect
197. #90348	C₂×C₃	semidirect
198. #90347	C₂×C₃	semidirect
199. #90328	C₂×C₃	semidirect
200. #90325	C₂×C₃	semidirect
201. #90304	C₂×C₃	semidirect
202. #90304	C₂×C₃	semidirect
203. #90303	C₂×C₃	semidirect
204. #90301	C₂×C₃	semidirect
205. #90301	C₂×C₃	semidirect
206. #90297	C₂×C₃	semidirect
207. #90282	C₂×C₃	semidirect
208. #90280	C₂×C₃	semidirect
209. D₇×#120	C₂×C₃	semidirect
210. #90278	C₂×C₃	semidirect
211. #90247	C₂×C₃	semidirect
212. #90247	C₂×C₃	semidirect
213. #90238	C₂×C₃	semidirect
214. #90236	C₂×C₃	semidirect
215. #90186	C₂×C₃	semidirect
216. #90181	C₂×C₃	semidirect
217. #90177	C₂×C₃	semidirect
218. C₂×D₇×C₂²⋊C₄	C₂×C₃	semidirect
233. C₂×Q₈×ΓL(1,𝔽₈)	C₂³	semidirect
242. C₂×D₄×ΓL(1,𝔽₈)	C₂³	semidirect
243. C₂×D₄×ΓL(1,𝔽₈)	C₂³	semidirect
247. C₂²×C₄×ΓL(1,𝔽₈)	C₂³	semidirect
248. C₂²×C₄×ΓL(1,𝔽₈)	C₂³	semidirect
249. C₂²×C₄×ΓL(1,𝔽₈)	C₂³	semidirect
266. C₂×(C₂²⋊D₇)⋊C₃	C₂³	semidirect
267. C₂×(C₂²⋊D₇)⋊C₃	C₂³	semidirect
272. C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
273. C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
274. C₂²×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
297. C₂×C₄×AGL(1,𝔽₇)	C₂³	semidirect
298. C₂×C₄×AGL(1,𝔽₇)	C₂³	semidirect
299. C₂×ΓL(1,𝔽₈)⋊Q₈	C₂³	semidirect
300. C₂×ΓL(1,𝔽₈)⋊Q₈	C₂³	semidirect
301. C₂×ΓL(1,𝔽₈)⋊Q₈	C₂³	semidirect
302. C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
303. C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
304. C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
305. C₄⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
313. C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
314. C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
315. C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
316. C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
317. C₂²⋊C₄×ΓL(1,𝔽₈)	C₂³	semidirect
318. C₄²×ΓL(1,𝔽₈)	C₂³	semidirect
330. (C₂²⋊Dic₇)⋊C₃	C₂³	semidirect
331. (C₂²⋊Dic₇)⋊C₃	C₂³	semidirect
332. (C₂²⋊Dic₇)⋊C₃	C₂³	semidirect
333. (C₂²⋊Dic₇)⋊C₃	C₂³	semidirect
334. (C₂²⋊Dic₇)⋊C₃	C₂³	semidirect
335. (C₂²⋊Dic₇)⋊C₃	C₂³	semidirect
336. (C₂²⋊Dic₇)⋊C₃	C₂³	semidirect
359. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
360. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
361. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
362. (C₂×AGL(1,𝔽₇))⋊C₄	C₂³	semidirect
363. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
364. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
365. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
366. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
367. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
368. C₄⋊(ΓL(1,𝔽₈)⋊C₄)	C₂³	semidirect
369. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
370. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
371. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
372. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
373. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
374. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
375. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
376. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
377. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
378. (ΓL(1,𝔽₈)⋊C₄)⋊C₄	C₂³	semidirect
379. (ΓL(1,𝔽₈)⋊C₄)⋊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. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
384. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
385. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
386. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
387. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
388. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
389. C₄×ΓL(1,𝔽₈)⋊C₄	C₂³	semidirect
391. C₂×C₇×#41	C₂²×C₃	semidirect
392. C₂²×C₇×D₄	C₂²×C₃	semidirect
394. C₂²×C₂²⋊D₇	C₂²×C₃	semidirect
395. C₂×#1159	C₂²×C₃	semidirect
396. C₂×#1159	C₂²×C₃	semidirect
398. C₂×D₄×D₇	C₂²×C₃	semidirect
399. C₂×D₄×D₇	C₂²×C₃	semidirect
400. C₂×#1157	C₂²×C₃	semidirect
401. C₂²×C₄×D₇	C₂²×C₃	semidirect
402. C₂²×C₄×D₇	C₂²×C₃	semidirect
403. C₇×#124	C₂²×C₃	semidirect
404. C₇×#123	C₂²×C₃	semidirect
405. C₇×#123	C₂²×C₃	semidirect
406. C₇×C₂²⋊Q₈	C₂²×C₃	semidirect
407. C₇×#121	C₂²×C₃	semidirect
408. C₇×#121	C₂²×C₃	semidirect
409. C₇×#121	C₂²×C₃	semidirect
411. C₇×#120	C₂²×C₃	semidirect
412. C₄×C₇×D₄	C₂²×C₃	semidirect
413. C₄×C₇×D₄	C₂²×C₃	semidirect
414. C₂×C₇×C₂²⋊C₄	C₂²×C₃	semidirect
415. C₂×C₇×C₂²⋊C₄	C₂²×C₃	semidirect
417. #6516	C₂²×C₃	semidirect
418. C₂×C₂²⋊Dic₇	C₂²×C₃	semidirect
419. C₂×C₂²⋊Dic₇	C₂²×C₃	semidirect
420. C₂×C₂²⋊Dic₇	C₂²×C₃	semidirect
421. #6510	C₂²×C₃	semidirect
422. #6509	C₂²×C₃	semidirect
423. #6509	C₂²×C₃	semidirect
424. #6509	C₂²×C₃	semidirect
425. #6502	C₂²×C₃	semidirect
426. #6502	C₂²×C₃	semidirect
427. #6502	C₂²×C₃	semidirect
428. #6502	C₂²×C₃	semidirect
429. #6501	C₂²×C₃	semidirect
430. #6501	C₂²×C₃	semidirect
431. #6501	C₂²×C₃	semidirect
432. #6501	C₂²×C₃	semidirect
438. #6500	C₂²×C₃	semidirect
439. #6500	C₂²×C₃	semidirect
440. #6500	C₂²×C₃	semidirect
441. #6500	C₂²×C₃	semidirect
442. #6500	C₂²×C₃	semidirect
443. #6500	C₂²×C₃	semidirect
444. #6500	C₂²×C₃	semidirect
445. #6500	C₂²×C₃	semidirect
446. #6499	C₂²×C₃	semidirect
447. #6499	C₂²×C₃	semidirect
448. #6498	C₂²×C₃	semidirect
449. #6498	C₂²×C₃	semidirect
450. #6498	C₂²×C₃	semidirect
451. #6498	C₂²×C₃	semidirect
452. #6498	C₂²×C₃	semidirect
453. D₄×Dic₇	C₂²×C₃	semidirect
454. D₄×Dic₇	C₂²×C₃	semidirect
455. D₄×Dic₇	C₂²×C₃	semidirect
456. #6493	C₂²×C₃	semidirect
457. #6492	C₂²×C₃	semidirect
458. #6492	C₂²×C₃	semidirect
459. #6492	C₂²×C₃	semidirect
460. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
461. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
462. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
463. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
464. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
465. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
466. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
467. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
468. C₄×C₂²⋊D₇	C₂²×C₃	semidirect
470. C₂×(C₂×D₇)⋊C₄	C₂²×C₃	semidirect
471. C₂×(C₂×D₇)⋊C₄	C₂²×C₃	semidirect
472. C₂×(C₂×D₇)⋊C₄	C₂²×C₃	semidirect
473. C₂×(C₂×D₇)⋊C₄	C₂²×C₃	semidirect
474. #6489	C₂²×C₃	semidirect
475. #6487	C₂²×C₃	semidirect
476. #6487	C₂²×C₃	semidirect
477. #6461	C₂²×C₃	semidirect
478. #6461	C₂²×C₃	semidirect
479. #6461	C₂²×C₃	semidirect
480. #6460	C₂²×C₃	semidirect
481. #6460	C₂²×C₃	semidirect
482. #6459	C₂²×C₃	semidirect
483. #6459	C₂²×C₃	semidirect
484. #6459	C₂²×C₃	semidirect
485. #6459	C₂²×C₃	semidirect
486. #6459	C₂²×C₃	semidirect
487. #6457	C₂²×C₃	semidirect
488. #6457	C₂²×C₃	semidirect
489. #6456	C₂²×C₃	semidirect
490. #6456	C₂²×C₃	semidirect
491. #6455	C₂²×C₃	semidirect
492. #6455	C₂²×C₃	semidirect
493. #6449	C₂²×C₃	semidirect
494. #6449	C₂²×C₃	semidirect
495. #6448	C₂²×C₃	semidirect
496. #6448	C₂²×C₃	semidirect
497. #6448	C₂²×C₃	semidirect
498. #6448	C₂²×C₃	semidirect
499. #6447	C₂²×C₃	semidirect
500. #6447	C₂²×C₃	semidirect
501. #6447	C₂²×C₃	semidirect
502. #6447	C₂²×C₃	semidirect
503. #6446	C₂²×C₃	semidirect
504. #6446	C₂²×C₃	semidirect
505. #6446	C₂²×C₃	semidirect
506. #6446	C₂²×C₃	semidirect
507. #6446	C₂²×C₃	semidirect
508. #6446	C₂²×C₃	semidirect
510. #6445	C₂²×C₃	semidirect
511. #6445	C₂²×C₃	semidirect
512. (C₂²⋊D₇)⋊C₄	C₂²×C₃	semidirect
513. (C₂²⋊D₇)⋊C₄	C₂²×C₃	semidirect
514. (C₂²⋊D₇)⋊C₄	C₂²×C₃	semidirect
515. (C₂²⋊D₇)⋊C₄	C₂²×C₃	semidirect
516. (C₂²⋊D₇)⋊C₄	C₂²×C₃	semidirect
517. (C₂²⋊D₇)⋊C₄	C₂²×C₃	semidirect
518. (C₂²⋊D₇)⋊C₄	C₂²×C₃	semidirect
522. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
523. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
524. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
525. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
526. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
527. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
528. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
529. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
530. D₇×C₂²⋊C₄	C₂²×C₃	semidirect
531. #6442	C₂²×C₃	semidirect
532. #6442	C₂²×C₃	semidirect
533. #6442	C₂²×C₃	semidirect
534. #6442	C₂²×C₃	semidirect
535. #6441	C₂²×C₃	semidirect
536. #6441	C₂²×C₃	semidirect
537. #6441	C₂²×C₃	semidirect
538. #6440	C₂²×C₃	semidirect
539. #6440	C₂²×C₃	semidirect
540. #6440	C₂²×C₃	semidirect
541. #6439	C₂²×C₃	semidirect
542. C₄×D₂₈	C₂²×C₃	semidirect
543. #6435	C₂²×C₃	semidirect
544. #6435	C₂²×C₃	semidirect
609. C₂²×AGL(1,𝔽₇)	#41	semidirect
707. C₂×C₇×Q₈	C₂³×C₃	semidirect
716. C₂×C₇×D₄	C₂³×C₃	semidirect
717. C₂×C₇×D₄	C₂³×C₃	semidirect
721. C₂²×C₄×C₇	C₂³×C₃	semidirect
722. C₂²×C₄×C₇	C₂³×C₃	semidirect
723. C₂²×C₄×C₇	C₂³×C₃	semidirect
740. C₂×C₂²⋊D₇	C₂³×C₃	semidirect
741. C₂×C₂²⋊D₇	C₂³×C₃	semidirect
746. C₂²×Dic₇	C₂³×C₃	semidirect
747. C₂²×Dic₇	C₂³×C₃	semidirect
748. C₂²×Dic₇	C₂³×C₃	semidirect
771. C₂×C₄×D₇	C₂³×C₃	semidirect
772. C₂×C₄×D₇	C₂³×C₃	semidirect
773. C₂×Dic₁₄	C₂³×C₃	semidirect
774. C₂×Dic₁₄	C₂³×C₃	semidirect
775. C₂×Dic₁₄	C₂³×C₃	semidirect
776. C₇×C₄⋊C₄	C₂³×C₃	semidirect
777. C₇×C₄⋊C₄	C₂³×C₃	semidirect
778. C₇×C₄⋊C₄	C₂³×C₃	semidirect
779. C₇×C₄⋊C₄	C₂³×C₃	semidirect
787. C₇×C₂²⋊C₄	C₂³×C₃	semidirect
788. C₇×C₂²⋊C₄	C₂³×C₃	semidirect
789. C₇×C₂²⋊C₄	C₂³×C₃	semidirect
790. C₇×C₂²⋊C₄	C₂³×C₃	semidirect
791. C₇×C₂²⋊C₄	C₂³×C₃	semidirect
792. C₄²×C₇	C₂³×C₃	semidirect
804. C₂²⋊Dic₇	C₂³×C₃	semidirect
805. C₂²⋊Dic₇	C₂³×C₃	semidirect
806. C₂²⋊Dic₇	C₂³×C₃	semidirect
807. C₂²⋊Dic₇	C₂³×C₃	semidirect
808. C₂²⋊Dic₇	C₂³×C₃	semidirect
809. C₂²⋊Dic₇	C₂³×C₃	semidirect
810. C₂²⋊Dic₇	C₂³×C₃	semidirect
833. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
834. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
835. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
836. (C₂×D₇)⋊C₄	C₂³×C₃	semidirect
837. C₄⋊Dic₇	C₂³×C₃	semidirect
838. C₄⋊Dic₇	C₂³×C₃	semidirect
839. C₄⋊Dic₇	C₂³×C₃	semidirect
840. C₄⋊Dic₇	C₂³×C₃	semidirect
841. C₄⋊Dic₇	C₂³×C₃	semidirect
842. C₄⋊Dic₇	C₂³×C₃	semidirect
843. Dic₇⋊C₄	C₂³×C₃	semidirect
844. Dic₇⋊C₄	C₂³×C₃	semidirect
845. Dic₇⋊C₄	C₂³×C₃	semidirect
846. Dic₇⋊C₄	C₂³×C₃	semidirect
847. Dic₇⋊C₄	C₂³×C₃	semidirect
848. Dic₇⋊C₄	C₂³×C₃	semidirect
849. Dic₇⋊C₄	C₂³×C₃	semidirect
850. Dic₇⋊C₄	C₂³×C₃	semidirect
851. Dic₇⋊C₄	C₂³×C₃	semidirect
852. Dic₇⋊C₄	C₂³×C₃	semidirect
853. Dic₇⋊C₄	C₂³×C₃	semidirect
854. Dic₇⋊C₄	C₂³×C₃	semidirect
855. Dic₇⋊C₄	C₂³×C₃	semidirect
856. Dic₇⋊C₄	C₂³×C₃	semidirect
857. C₄×Dic₇	C₂³×C₃	semidirect
858. C₄×Dic₇	C₂³×C₃	semidirect
859. C₄×Dic₇	C₂³×C₃	semidirect
860. C₄×Dic₇	C₂³×C₃	semidirect
861. C₄×Dic₇	C₂³×C₃	semidirect
862. C₄×Dic₇	C₂³×C₃	semidirect
863. C₄×Dic₇	C₂³×C₃	semidirect
1097. #546	AGL(1,𝔽₇)	semidirect
1146. C₂²×D₇	C₃×#41	semidirect
1418. C₂×#41	C₂×AGL(1,𝔽₇)	semidirect
1424. C₂²×D₄	C₂×AGL(1,𝔽₇)	semidirect
1442. #124	C₂×AGL(1,𝔽₇)	semidirect
1461. #123	C₂×AGL(1,𝔽₇)	semidirect
1462. #123	C₂×AGL(1,𝔽₇)	semidirect
1478. C₂²⋊Q₈	C₂×AGL(1,𝔽₇)	semidirect
1492. #121	C₂×AGL(1,𝔽₇)	semidirect
1493. #121	C₂×AGL(1,𝔽₇)	semidirect
1494. #121	C₂×AGL(1,𝔽₇)	semidirect
1514. #120	C₂×AGL(1,𝔽₇)	semidirect
1537. C₄×D₄	C₂×AGL(1,𝔽₇)	semidirect
1538. C₄×D₄	C₂×AGL(1,𝔽₇)	semidirect
1567. C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₇)	semidirect
1568. C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₇)	semidirect
1749. ΓL(1,𝔽₈)	#3490	semidirect
1769. C₂×Q₈	C₂²×AGL(1,𝔽₇)	semidirect
1802. C₂×D₄	C₂²×AGL(1,𝔽₇)	semidirect
1803. C₂×D₄	C₂²×AGL(1,𝔽₇)	semidirect
1829. C₂²×C₄	C₂²×AGL(1,𝔽₇)	semidirect
1830. C₂²×C₄	C₂²×AGL(1,𝔽₇)	semidirect
1831. C₂²×C₄	C₂²×AGL(1,𝔽₇)	semidirect
1852. C₄⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1853. C₄⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1854. C₄⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1855. C₄⋊C₄	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
1910. C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1911. C₂²⋊C₄	C₂²×AGL(1,𝔽₇)	semidirect
1919. C₄²	C₂²×AGL(1,𝔽₇)	semidirect
2114. C₇	C₃×#3490	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
#90520⋊C₃	2
#90519⋊C₃	2
#90497⋊C₃	2
C₂×#6500⋊C₃	2
#90370⋊C₃	2
#90369⋊C₃	2
#90350⋊C₃	2
#90349⋊C₃	2
#90348⋊C₃	2
#90347⋊C₃	2
#90328⋊C₃	2
#90325⋊C₃	2
#90304⋊C₃	2
#90303⋊C₃	2
#90301⋊C₃	2
#90297⋊C₃	2
#90282⋊C₃	2
#90280⋊C₃	2
#120×AGL(1,𝔽₇)	2
#90278⋊C₃	2
#90247⋊C₃	2
#90238⋊C₃	2
#90236⋊C₃	2
#90186⋊C₃	2
#90181⋊C₃	2
#90177⋊C₃	2
C₂×C₂²⋊C₄×AGL(1,𝔽₇)	2
#11743732	3
C₃×#3490	7