Subgroups — C₂×#11743883 #14261704

Order 1792.

9502 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	C₂×C₇×#551	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743883	C₂	1	32	yes	maximal, direct product factor
3	C₂×#90396	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#90396	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#90395	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#90395	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#90367	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#90369	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#90349	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#90345	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#90345	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#90348	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#90344	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#90347	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#90328	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#90321	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#90325	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#90318	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#90282	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×D₇×#120	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#90241	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#90245	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#90238	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#90236	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#90218	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#90218	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#90215	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#90212	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#90181	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂²×#6445	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂²×D₇×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#90186	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂⁵×D₇	C₂²	1	1	yes	characteristic
34	C₂³×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#1161	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#1159	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₄×D₇	C₂²	1	1	yes	characteristic
38	C₂²×D₄×D₇	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₄×D₇	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#1157	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#1157	C₂²	1	1	yes	characteristic, complemented
42	C₂³×D₂₈	C₂²	1	1	yes	characteristic
43	C₂³×D₂₈	C₂²	1	1	yes	characteristic, complemented
44	C₂³×C₄×D₇	C₂²	1	1	yes	characteristic, complemented
45	C₂³×C₄×D₇	C₂²	1	1	yes	characteristic, complemented
46	C₇×#551	C₂²	1	16	yes	complemented
47	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₇×#120	C₂²	1	1	yes	characteristic
56	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
60	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
61	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
62	C₂×#6516	C₂²	1	1	yes	characteristic
63	C₂²×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
64	C₂×#6510	C₂²	1	1	yes	characteristic, complemented
65	C₂×#6509	C₂²	1	1	yes	characteristic, complemented
66	C₂×#6509	C₂²	1	1	yes	characteristic, complemented
67	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
68	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
69	C₂×#6501	C₂²	1	1	yes	characteristic, complemented
70	C₂×#6500	C₂²	1	1	yes	characteristic
71	C₂×#6500	C₂²	1	1	yes	characteristic, complemented
72	C₂×#6500	C₂²	1	1	yes	characteristic, complemented
73	C₂×#6500	C₂²	1	1	yes	characteristic, complemented
74	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
75	C₂×#6493	C₂²	1	1	yes	characteristic, complemented
76	C₂×#6493	C₂²	1	1	yes	characteristic, complemented
77	C₂×#6492	C₂²	1	1	yes	characteristic, complemented
78	C₂×#6492	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
82	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
83	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
84	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
85	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
86	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
87	C₂×#6489	C₂²	1	1	yes	characteristic, complemented
88	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
89	#90396	C₂²	1	16	yes	complemented
90	#90396	C₂²	1	16	yes	complemented
91	#90395	C₂²	1	16	yes	complemented
92	#90395	C₂²	1	16	yes	complemented
93	#90369	C₂²	1	16	yes	complemented
94	#90367	C₂²	1	16	yes	complemented
95	#90349	C₂²	1	16	yes	complemented
96	#90348	C₂²	1	16	yes	complemented
97	#90347	C₂²	1	16	yes	complemented
98	#90345	C₂²	1	16	yes	complemented
99	#90345	C₂²	1	16	yes	complemented
100	#90344	C₂²	1	16	yes	complemented
101	#90328	C₂²	1	16	yes	complemented
102	#90325	C₂²	1	16	yes	complemented
103	#90321	C₂²	1	16	yes	complemented
104	#90318	C₂²	1	16	yes	complemented
105	#90282	C₂²	1	16	yes	complemented
106	D₇×#120	C₂²	1	16	yes	complemented
107	#90245	C₂²	1	16	yes	complemented
108	#90241	C₂²	1	16	yes	complemented
109	#90238	C₂²	1	16	yes	complemented
110	#90236	C₂²	1	16	yes	complemented
111	#90218	C₂²	1	16	yes	complemented
112	#90218	C₂²	1	16	yes	complemented
113	#90215	C₂²	1	16	yes	complemented
114	#90212	C₂²	1	16	yes	complemented
115	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
116	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
117	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
118	C₂×#6460	C₂²	1	1	yes	characteristic, complemented
119	C₂×#6460	C₂²	1	1	yes	characteristic, complemented
120	C₂×#6460	C₂²	1	1	yes	characteristic, complemented
121	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
122	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
123	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
124	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
125	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
126	C₂×#6458	C₂²	1	1	yes	characteristic, complemented
127	C₂×#6458	C₂²	1	1	yes	characteristic, complemented
128	C₂×#6458	C₂²	1	1	yes	characteristic, complemented
129	C₂×#6458	C₂²	1	1	yes	characteristic, complemented
130	C₂×#6458	C₂²	1	1	yes	characteristic, complemented
131	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
132	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
133	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
134	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
135	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
136	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
137	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
138	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
139	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
140	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
141	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
142	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
143	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
144	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
145	C₂×#6455	C₂²	1	1	yes	characteristic, complemented
146	C₂×#6455	C₂²	1	1	yes	characteristic, complemented
147	#90186	C₂²	1	16	yes	complemented
148	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
149	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
150	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
151	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
152	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
153	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
154	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
155	#90181	C₂²	1	16	yes	complemented
156	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
157	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
158	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
159	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
160	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
161	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
162	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
163	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
164	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
165	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
166	C₂×#6445	C₂²	1	1	yes	characteristic
167	C₂×#6445	C₂²	1	1	yes	characteristic
168	C₂×#6445	C₂²	1	1	yes	characteristic
169	C₂×#6445	C₂²	1	1	yes	characteristic
170	C₂×#6445	C₂²	1	1	yes	characteristic
171	C₂×#6445	C₂²	1	16	yes	complemented
172	C₂×#6445	C₂²	1	1	yes	characteristic, complemented
173	C₂×#6445	C₂²	1	1	yes	characteristic, complemented
174	C₂×#6445	C₂²	1	1	yes	characteristic, complemented
175	C₂×#6445	C₂²	1	1	yes	characteristic, complemented
176	C₂×#6445	C₂²	1	1	yes	characteristic, complemented
177	C₂×#6445	C₂²	1	1	yes	characteristic, complemented
178	C₂×#6445	C₂²	1	1	yes	characteristic, complemented
179	C₂×#6445	C₂²	1	1	yes	characteristic, complemented
180	C₂×#6445	C₂²	1	1	yes	characteristic, complemented
181	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
187	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
188	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
189	C₂×D₇×C₂²⋊C₄	C₂²	1	16	yes	complemented
190	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
191	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
192	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
193	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
194	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
195	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
196	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
197	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
198	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
199	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
200	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
201	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
202	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
203	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
204	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
205	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
206	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
207	C₂×#6439	C₂²	1	1	yes	characteristic, complemented
208	C₂×#6438	C₂²	1	1	yes	characteristic, complemented
209	C₂×#6438	C₂²	1	1	yes	characteristic, complemented
210	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
211	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
214	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
215	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
216	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
217	C₂×#6435	C₂²	1	1	yes	characteristic, complemented
218	C₂×#6435	C₂²	1	1	yes	characteristic, complemented
219	C₂×#3490	—	7	1	no	maximal, Sylow
220	C₂⁵×C₇	C₂³	1	1	yes	characteristic
221	C₂⁴×D₇	—	2	8	no	—
222	C₂⁴×D₇	—	4	4	no	—
223	C₂⁴×D₇	—	4	4	no	—
224	C₂⁴×D₇	C₂³	1	1	yes	characteristic
225	C₂⁴×D₇	C₂³	1	1	yes	characteristic
226	C₂⁴×D₇	C₂³	1	1	yes	characteristic
227	C₂⁴×D₇	C₂³	1	1	yes	characteristic
228	C₂⁴×D₇	C₂³	1	1	yes	characteristic
229	C₂⁴×D₇	C₂³	1	8	yes	—
230	C₂⁴×D₇	C₂³	1	1	yes	characteristic
231	C₂⁴×D₇	C₂³	1	1	yes	characteristic
232	C₂⁴×D₇	C₂³	1	1	yes	characteristic
233	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic, complemented
234	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
235	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
236	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
237	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
238	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
239	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
240	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
241	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic, complemented
242	C₂²×C₂²⋊D₇	—	4	4	no	—
243	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
244	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
245	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
246	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
247	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
248	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
253	C₂²×C₂²⋊D₇	C₂³	1	8	yes	complemented
254	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic, complemented
255	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic, complemented
256	C₂³×Dic₇	C₂³	1	1	yes	characteristic
257	C₂³×Dic₇	C₂³	1	1	yes	characteristic
258	C₂³×Dic₇	C₂³	1	1	yes	characteristic
259	C₂³×Dic₇	C₂³	1	1	yes	characteristic, complemented
260	C₂×#1161	—	4	4	no	—
261	C₂×#1161	C₂³	1	8	yes	complemented
262	C₂×#1159	—	4	4	no	—
263	C₂×#1159	C₂³	1	8	yes	complemented
264	C₂×D₄×D₇	—	2	8	no	—
265	C₂×D₄×D₇	—	4	4	no	—
266	C₂×D₄×D₇	—	4	4	no	—
267	C₂×D₄×D₇	C₂³	1	8	yes	—
268	C₂×D₄×D₇	C₂³	1	8	yes	complemented
269	C₂×D₄×D₇	C₂³	1	8	yes	complemented
270	C₂×#1157	—	4	4	no	—
271	C₂×#1157	—	4	4	no	—
272	C₂×#1157	C₂³	1	8	yes	complemented
273	C₂×#1157	C₂³	1	8	yes	complemented
274	C₂²×D₂₈	—	2	8	no	—
275	C₂²×D₂₈	—	4	4	no	—
276	C₂²×D₂₈	C₂³	1	1	yes	characteristic
277	C₂²×D₂₈	C₂³	1	1	yes	characteristic
278	C₂²×D₂₈	C₂³	1	1	yes	characteristic
279	C₂²×D₂₈	C₂³	1	1	yes	characteristic
280	C₂²×D₂₈	C₂³	1	1	yes	characteristic
281	C₂²×D₂₈	C₂³	1	1	yes	characteristic
282	C₂²×D₂₈	C₂³	1	1	yes	characteristic
283	C₂²×D₂₈	C₂³	1	1	yes	characteristic
284	C₂²×D₂₈	C₂³	1	8	yes	—
285	C₂²×D₂₈	C₂³	1	1	yes	characteristic
286	C₂²×D₂₈	C₂³	1	1	yes	characteristic
287	C₂²×D₂₈	C₂³	1	1	yes	characteristic
288	C₂²×D₂₈	C₂³	1	8	yes	complemented
289	C₂²×D₂₈	C₂³	1	1	yes	characteristic, complemented
290	C₂²×D₂₈	C₂³	1	1	yes	characteristic, complemented
291	C₂²×C₄×D₇	—	4	4	no	—
292	C₂²×C₄×D₇	—	4	4	no	—
293	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
294	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
295	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
296	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
297	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
298	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
299	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
300	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
301	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
302	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
303	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
304	C₂²×C₄×D₇	C₂³	1	8	yes	complemented
305	C₂²×C₄×D₇	C₂³	1	8	yes	complemented
306	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
307	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
308	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
309	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
310	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
311	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic, complemented
312	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic, complemented
313	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic, complemented
314	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic, complemented
315	C₇×#126	C₂³	1	8	yes	complemented
316	C₇×#126	C₂³	1	8	yes	complemented
317	C₇×#124	C₂³	1	8	yes	complemented
318	C₇×#123	C₂³	1	8	yes	complemented
319	C₇×#123	C₂³	1	8	yes	complemented
320	C₇×#123	C₂³	1	8	yes	complemented
321	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
322	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
323	C₇×#120	C₂³	1	8	yes	—
324	C₄×C₇×D₄	C₂³	1	8	yes	complemented
325	C₄×C₇×D₄	C₂³	1	8	yes	complemented
326	C₇×#117	C₂³	1	8	yes	complemented
327	C₇×#117	C₂³	1	8	yes	complemented
328	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
329	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
330	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
331	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
332	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
333	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
334	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
335	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
336	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
348	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
349	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
350	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
351	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
352	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic, complemented
353	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic, complemented
354	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic, complemented
355	#6516	C₂³	1	8	yes	—
356	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊Dic₇	C₂³	1	8	yes	complemented
364	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
365	#6510	C₂³	1	8	yes	complemented
366	#6509	C₂³	1	8	yes	complemented
367	#6509	C₂³	1	8	yes	complemented
368	#6502	C₂³	1	8	yes	complemented
369	#6502	C₂³	1	8	yes	complemented
370	#6501	C₂³	1	8	yes	complemented
371	#6500	C₂³	1	8	yes	—
372	#6500	C₂³	1	8	yes	complemented
373	#6500	C₂³	1	8	yes	complemented
374	#6500	C₂³	1	8	yes	complemented
375	D₄×Dic₇	C₂³	1	8	yes	complemented
376	#6493	C₂³	1	8	yes	complemented
377	#6493	C₂³	1	8	yes	complemented
378	#6492	C₂³	1	8	yes	complemented
379	#6492	C₂³	1	8	yes	complemented
380	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
381	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
382	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
383	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
384	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
385	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
386	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
387	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
388	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
389	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
390	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
391	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
392	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
393	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
394	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
395	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
396	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
403	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
405	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	—
406	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	complemented
407	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	complemented
408	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	complemented
409	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	complemented
410	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
411	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
412	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
413	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
414	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
415	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
416	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
417	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
418	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
419	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
420	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
421	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic, complemented
422	#6489	C₂³	1	8	yes	complemented
423	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
424	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
425	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
426	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
427	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
428	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic, complemented
429	#6487	C₂³	1	8	yes	complemented
430	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
431	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
432	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
433	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
434	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
435	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
436	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
437	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
438	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
439	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic, complemented
440	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic, complemented
441	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic, complemented
442	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic, complemented
443	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic, complemented
444	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic, complemented
445	#6461	C₂³	1	8	yes	complemented
446	#6461	C₂³	1	8	yes	complemented
447	#6461	C₂³	1	8	yes	complemented
448	#6460	C₂³	1	8	yes	complemented
449	#6460	C₂³	1	8	yes	complemented
450	#6460	C₂³	1	8	yes	complemented
451	#6459	C₂³	1	8	yes	complemented
452	#6459	C₂³	1	8	yes	complemented
453	#6459	C₂³	1	8	yes	complemented
454	#6459	C₂³	1	8	yes	complemented
455	#6459	C₂³	1	8	yes	complemented
456	#6458	C₂³	1	8	yes	complemented
457	#6458	C₂³	1	8	yes	complemented
458	#6458	C₂³	1	8	yes	complemented
459	#6458	C₂³	1	8	yes	complemented
460	#6458	C₂³	1	8	yes	complemented
461	#6457	C₂³	1	8	yes	complemented
462	#6457	C₂³	1	8	yes	complemented
463	#6457	C₂³	1	8	yes	complemented
464	#6457	C₂³	1	8	yes	complemented
465	#6457	C₂³	1	8	yes	complemented
466	#6457	C₂³	1	8	yes	complemented
467	#6457	C₂³	1	8	yes	complemented
468	#6457	C₂³	1	8	yes	complemented
469	#6456	C₂³	1	8	yes	complemented
470	#6456	C₂³	1	8	yes	complemented
471	#6456	C₂³	1	8	yes	complemented
472	#6456	C₂³	1	8	yes	complemented
473	#6456	C₂³	1	8	yes	complemented
474	#6456	C₂³	1	8	yes	complemented
475	#6455	C₂³	1	8	yes	complemented
476	#6455	C₂³	1	8	yes	complemented
477	#6449	C₂³	1	8	yes	complemented
478	#6449	C₂³	1	8	yes	complemented
479	#6449	C₂³	1	8	yes	complemented
480	#6448	C₂³	1	8	yes	complemented
481	#6448	C₂³	1	8	yes	complemented
482	#6448	C₂³	1	8	yes	complemented
483	#6448	C₂³	1	8	yes	complemented
484	#6447	C₂³	1	8	yes	complemented
485	#6447	C₂³	1	8	yes	complemented
486	#6447	C₂³	1	8	yes	complemented
487	#6447	C₂³	1	8	yes	complemented
488	#6447	C₂³	1	8	yes	complemented
489	#6447	C₂³	1	8	yes	complemented
490	#6446	C₂³	1	8	yes	complemented
491	#6446	C₂³	1	8	yes	complemented
492	#6446	C₂³	1	8	yes	complemented
493	#6446	C₂³	1	8	yes	complemented
494	#6445	C₂³	1	8	yes	—
495	#6445	C₂³	1	8	yes	—
496	#6445	C₂³	1	8	yes	—
497	#6445	C₂³	1	8	yes	—
498	#6445	C₂³	1	8	yes	—
499	#6445	C₂³	1	8	yes	complemented
500	#6445	C₂³	1	8	yes	complemented
501	#6445	C₂³	1	8	yes	complemented
502	#6445	C₂³	1	8	yes	complemented
503	#6445	C₂³	1	8	yes	complemented
504	#6445	C₂³	1	8	yes	complemented
505	#6445	C₂³	1	8	yes	complemented
506	#6445	C₂³	1	8	yes	complemented
507	#6445	C₂³	1	8	yes	complemented
508	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
509	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
510	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
511	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
512	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
513	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
514	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
515	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
516	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
517	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
518	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
519	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
520	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
521	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
522	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
523	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
524	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
525	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
526	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
527	#6442	C₂³	1	8	yes	complemented
528	#6442	C₂³	1	8	yes	complemented
529	#6441	C₂³	1	8	yes	complemented
530	#6441	C₂³	1	8	yes	complemented
531	#6441	C₂³	1	8	yes	complemented
532	#6440	C₂³	1	8	yes	complemented
533	#6439	C₂³	1	8	yes	complemented
534	#6438	C₂³	1	8	yes	complemented
535	#6438	C₂³	1	8	yes	complemented
536	C₄×D₂₈	C₂³	1	8	yes	complemented
537	C₄×D₂₈	C₂³	1	8	yes	complemented
538	C₄×D₂₈	C₂³	1	8	yes	complemented
539	C₄×D₂₈	C₂³	1	8	yes	complemented
540	C₄×D₂₈	C₂³	1	8	yes	complemented
541	C₄×D₂₈	C₂³	1	8	yes	complemented
542	C₄×D₂₈	C₂³	1	8	yes	complemented
543	#6435	C₂³	1	8	yes	complemented
544	#6435	C₂³	1	8	yes	complemented
545	#3490	—	7	32	no	—
546	C₂×#551	—	7	1	no	—
547	C₂×#551	—	7	1	no	—
548	C₂×#551	—	7	1	no	—
549	C₂×#551	—	7	1	no	—
550	C₂×#551	—	7	1	no	—
551	C₂×#551	—	7	1	no	—
552	C₂×#551	—	7	1	no	—
553	C₂×#551	D₇	1	1	yes	characteristic, complemented
554	C₂×#546	—	7	1	no	—
555	C₂×#546	—	7	1	no	—
556	C₂×#546	—	7	1	no	—
557	C₂×#546	—	7	1	no	—
558	C₂×#546	—	7	1	no	—
559	C₂×#546	—	7	1	no	—
560	C₂×#546	—	7	1	no	—
561	C₂×#546	—	7	1	no	—
562	C₂×#543	—	7	1	no	—
563	C₂×#538	—	7	1	no	—
564	C₂×#538	—	7	1	no	—
565	C₂×#538	—	7	1	no	—
566	C₂×#538	—	7	1	no	—
567	C₂×#534	—	7	1	no	—
568	C₂×#525	—	7	1	no	—
569	C₂×#525	—	7	1	no	—
570	C₂×#525	—	7	1	no	—
571	C₂×#525	—	7	1	no	—
572	C₂²×#120	—	7	1	no	—
573	C₂²×#120	—	7	1	no	—
574	C₂×#518	—	7	1	no	—
575	C₂×#518	—	7	1	no	—
576	C₂³×C₂²⋊C₄	—	7	1	no	—
577	C₂⁴×C₇	—	2	4	no	—
578	C₂⁴×C₇	—	2	4	no	—
579	C₂⁴×C₇	—	4	2	no	—
580	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
581	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
582	C₂⁴×C₇	C₂⁴	1	4	yes	—
583	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
584	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
585	C₂³×D₇	—	2	4	no	—
586	C₂³×D₇	—	2	4	no	—
587	C₂³×D₇	—	2	4	no	—
588	C₂³×D₇	—	2	4	no	—
589	C₂³×D₇	—	2	4	no	—
590	C₂³×D₇	—	2	4	no	—
591	C₂³×D₇	—	2	4	no	—
592	C₂³×D₇	—	2	4	no	—
593	C₂³×D₇	—	2	4	no	—
594	C₂³×D₇	—	2	32	no	—
595	C₂³×D₇	—	2	4	no	—
596	C₂³×D₇	—	2	4	no	—
597	C₂³×D₇	—	2	4	no	—
598	C₂³×D₇	—	4	16	no	—
599	C₂³×D₇	—	4	2	no	—
600	C₂³×D₇	—	4	2	no	—
601	C₂³×D₇	—	4	2	no	—
602	C₂³×D₇	—	4	2	no	—
603	C₂³×D₇	—	4	2	no	—
604	C₂³×D₇	—	4	2	no	—
605	C₂³×D₇	—	4	16	no	—
606	C₂³×D₇	—	4	2	no	—
607	C₂³×D₇	—	4	2	no	—
608	C₂³×D₇	—	4	2	no	—
609	C₂³×D₇	—	4	2	no	—
610	C₂³×D₇	—	4	2	no	—
611	C₂³×D₇	—	4	64	no	—
612	C₂³×D₇	#41	1	8	yes	complemented
613	C₂³×D₇	C₂⁴	1	4	yes	—
614	C₂³×D₇	C₂⁴	1	1	yes	characteristic
615	C₂³×D₇	C₂⁴	1	1	yes	characteristic
616	C₂³×D₇	C₂⁴	1	1	yes	characteristic
617	C₂³×D₇	C₂⁴	1	1	yes	characteristic
618	C₂³×D₇	C₂⁴	1	4	yes	—
619	C₂³×D₇	C₂⁴	1	4	yes	—
620	C₂³×D₇	C₂⁴	1	4	yes	—
621	C₂³×D₇	C₂⁴	1	1	yes	characteristic
622	C₂³×D₇	C₂⁴	1	1	yes	characteristic
623	C₂³×D₇	C₂⁴	1	1	yes	characteristic
624	C₂³×D₇	C₂⁴	1	4	yes	—
625	C₂³×D₇	C₂⁴	1	4	yes	—
626	C₂³×D₇	C₂⁴	1	4	yes	—
627	C₂³×D₇	C₂⁴	1	4	yes	—
628	C₂×C₇×Q₈	—	4	2	no	—
629	C₂×C₇×Q₈	C₂⁴	1	4	yes	complemented
630	C₂×C₇×D₄	—	2	4	no	—
631	C₂×C₇×D₄	—	2	4	no	—
632	C₂×C₇×D₄	—	4	2	no	—
633	C₂×C₇×D₄	C₂⁴	1	4	yes	—
634	C₂×C₇×D₄	C₂⁴	1	4	yes	—
635	C₂×C₇×D₄	C₂⁴	1	4	yes	—
636	C₂²×C₄×C₇	—	2	4	no	—
637	C₂²×C₄×C₇	—	2	4	no	—
638	C₂²×C₄×C₇	—	4	2	no	—
639	C₂²×C₄×C₇	—	4	2	no	—
640	C₂²×C₄×C₇	—	4	2	no	—
641	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
642	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
643	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
644	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
645	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
646	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
647	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
648	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
649	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
650	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
651	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
652	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
653	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
654	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
655	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
656	C₂²×C₄×C₇	C₂⁴	1	4	yes	complemented
657	C₂×C₂²⋊D₇	—	2	4	no	—
658	C₂×C₂²⋊D₇	—	2	4	no	—
659	C₂×C₂²⋊D₇	—	2	4	no	—
660	C₂×C₂²⋊D₇	—	2	4	no	—
661	C₂×C₂²⋊D₇	—	2	4	no	—
662	C₂×C₂²⋊D₇	—	2	4	no	—
663	C₂×C₂²⋊D₇	—	4	2	no	—
664	C₂×C₂²⋊D₇	—	4	2	no	—
665	C₂×C₂²⋊D₇	—	4	2	no	—
666	C₂×C₂²⋊D₇	—	4	2	no	—
667	C₂×C₂²⋊D₇	—	4	2	no	—
668	C₂×C₂²⋊D₇	—	4	2	no	—
669	C₂×C₂²⋊D₇	—	4	16	no	—
670	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
671	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
672	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
673	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
674	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
675	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
676	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
677	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
678	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
679	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
680	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	complemented
681	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	complemented
682	C₂²×Dic₇	—	2	4	no	—
683	C₂²×Dic₇	—	4	2	no	—
684	C₂²×Dic₇	—	4	2	no	—
685	C₂²×Dic₇	—	4	2	no	—
686	C₂²×Dic₇	C₂⁴	1	4	yes	—
687	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
688	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
689	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
690	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
691	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
692	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
693	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
694	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
695	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
696	C₂²×Dic₇	C₂⁴	1	4	yes	—
697	C₂²×Dic₇	C₂⁴	1	4	yes	—
698	C₂²×Dic₇	C₂⁴	1	4	yes	complemented
699	#1161	—	4	16	no	—
700	#1159	—	4	16	no	—
701	D₄×D₇	—	2	32	no	—
702	D₄×D₇	—	4	16	no	—
703	D₄×D₇	—	4	16	no	—
704	#1157	—	4	16	no	—
705	#1157	—	4	16	no	—
706	C₂×D₂₈	—	2	4	no	—
707	C₂×D₂₈	—	2	4	no	—
708	C₂×D₂₈	—	2	4	no	—
709	C₂×D₂₈	—	2	4	no	—
710	C₂×D₂₈	—	2	4	no	—
711	C₂×D₂₈	—	2	32	no	—
712	C₂×D₂₈	—	2	4	no	—
713	C₂×D₂₈	—	2	4	no	—
714	C₂×D₂₈	—	2	4	no	—
715	C₂×D₂₈	—	4	16	no	—
716	C₂×D₂₈	—	4	2	no	—
717	C₂×D₂₈	—	4	2	no	—
718	C₂×D₂₈	—	4	2	no	—
719	C₂×D₂₈	—	4	2	no	—
720	C₂×D₂₈	—	4	2	no	—
721	C₂×D₂₈	C₂⁴	1	4	yes	—
722	C₂×D₂₈	C₂⁴	1	4	yes	—
723	C₂×D₂₈	C₂⁴	1	4	yes	—
724	C₂×D₂₈	C₂⁴	1	4	yes	—
725	C₂×D₂₈	C₂⁴	1	4	yes	—
726	C₂×D₂₈	C₂⁴	1	4	yes	—
727	C₂×D₂₈	C₂⁴	1	4	yes	—
728	C₂×D₂₈	C₂⁴	1	4	yes	—
729	C₂×D₂₈	C₂⁴	1	4	yes	—
730	C₂×D₂₈	C₂⁴	1	4	yes	—
731	C₂×D₂₈	C₂⁴	1	4	yes	—
732	C₂×D₂₈	C₂⁴	1	4	yes	complemented
733	C₂×D₂₈	C₂⁴	1	4	yes	complemented
734	C₂×C₄×D₇	—	2	4	no	—
735	C₂×C₄×D₇	—	2	4	no	—
736	C₂×C₄×D₇	—	2	4	no	—
737	C₂×C₄×D₇	—	4	16	no	—
738	C₂×C₄×D₇	—	4	2	no	—
739	C₂×C₄×D₇	—	4	2	no	—
740	C₂×C₄×D₇	—	4	2	no	—
741	C₂×C₄×D₇	—	4	2	no	—
742	C₂×C₄×D₇	—	4	2	no	—
743	C₂×C₄×D₇	—	4	2	no	—
744	C₂×C₄×D₇	—	4	16	no	—
745	C₂×C₄×D₇	—	4	2	no	—
746	C₂×C₄×D₇	—	4	2	no	—
747	C₂×C₄×D₇	—	4	2	no	—
748	C₂×C₄×D₇	—	4	2	no	—
749	C₂×C₄×D₇	—	4	2	no	—
750	C₂×C₄×D₇	—	4	2	no	—
751	C₂×C₄×D₇	—	4	2	no	—
752	C₂×C₄×D₇	—	4	2	no	—
753	C₂×C₄×D₇	C₂⁴	1	4	yes	—
754	C₂×C₄×D₇	C₂⁴	1	4	yes	—
755	C₂×C₄×D₇	C₂⁴	1	4	yes	—
756	C₂×C₄×D₇	C₂⁴	1	4	yes	—
757	C₂×C₄×D₇	C₂⁴	1	4	yes	—
758	C₂×C₄×D₇	C₂⁴	1	4	yes	—
759	C₂×C₄×D₇	C₂⁴	1	4	yes	—
760	C₂×C₄×D₇	C₂⁴	1	4	yes	—
761	C₂×C₄×D₇	C₂⁴	1	4	yes	—
762	C₂×C₄×D₇	C₂⁴	1	4	yes	—
763	C₂×C₄×D₇	C₂⁴	1	4	yes	—
764	C₂×C₄×D₇	C₂⁴	1	4	yes	complemented
765	C₂×C₄×D₇	C₂⁴	1	4	yes	complemented
766	C₂×C₄×D₇	C₂⁴	1	4	yes	complemented
767	C₂×C₄×D₇	C₂⁴	1	4	yes	complemented
768	C₂×C₄×D₇	C₂⁴	1	4	yes	complemented
769	C₂×C₄×D₇	C₂⁴	1	4	yes	complemented
770	C₂×Dic₁₄	—	4	2	no	—
771	C₂×Dic₁₄	—	4	2	no	—
772	C₂×Dic₁₄	—	4	2	no	—
773	C₂×Dic₁₄	C₂⁴	1	4	yes	complemented
774	C₂×Dic₁₄	C₂⁴	1	4	yes	complemented
775	C₂×Dic₁₄	C₂⁴	1	4	yes	complemented
776	C₇×C₄⋊C₄	C₂⁴	1	4	yes	complemented
777	C₇×C₄⋊C₄	C₂⁴	1	4	yes	complemented
778	C₇×C₄⋊C₄	C₂⁴	1	4	yes	complemented
779	C₇×C₄⋊C₄	C₂⁴	1	4	yes	complemented
780	C₇×C₄⋊C₄	C₂⁴	1	4	yes	complemented
781	C₇×C₄⋊C₄	C₂⁴	1	4	yes	complemented
782	C₇×C₄⋊C₄	C₂⁴	1	4	yes	complemented
783	C₇×C₄⋊C₄	C₂⁴	1	4	yes	complemented
784	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
785	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
786	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
787	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
788	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
789	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
790	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
791	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
792	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
796	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
797	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
798	C₄²×C₇	C₂⁴	1	4	yes	complemented
799	C₄²×C₇	C₂⁴	1	4	yes	complemented
800	C₄²×C₇	C₂⁴	1	4	yes	complemented
801	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
802	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
803	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
804	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
805	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
806	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
807	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
808	C₂²⋊Dic₇	C₂⁴	1	4	yes	complemented
809	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
810	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
811	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
812	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
813	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
814	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
815	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
816	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
817	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
818	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
819	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
820	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
821	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
822	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
823	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
824	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
825	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
826	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
827	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
828	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
829	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
830	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
831	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
832	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
833	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
834	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
835	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
836	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
837	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
838	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
839	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
840	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
841	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
842	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	complemented
843	C₄⋊Dic₇	C₂⁴	1	4	yes	complemented
844	C₄⋊Dic₇	C₂⁴	1	4	yes	complemented
845	C₄⋊Dic₇	C₂⁴	1	4	yes	complemented
846	C₄⋊Dic₇	C₂⁴	1	4	yes	complemented
847	C₄⋊Dic₇	C₂⁴	1	4	yes	complemented
848	C₄⋊Dic₇	C₂⁴	1	4	yes	complemented
849	Dic₇⋊C₄	C₂⁴	1	4	yes	complemented
850	Dic₇⋊C₄	C₂⁴	1	4	yes	complemented
851	Dic₇⋊C₄	C₂⁴	1	4	yes	complemented
852	Dic₇⋊C₄	C₂⁴	1	4	yes	complemented
853	Dic₇⋊C₄	C₂⁴	1	4	yes	complemented
854	Dic₇⋊C₄	C₂⁴	1	4	yes	complemented
855	Dic₇⋊C₄	C₂⁴	1	4	yes	complemented
856	Dic₇⋊C₄	C₂⁴	1	4	yes	complemented
857	Dic₇⋊C₄	C₂⁴	1	4	yes	complemented
858	Dic₇⋊C₄	C₂⁴	1	4	yes	complemented
859	C₄×Dic₇	C₂⁴	1	4	yes	complemented
860	C₄×Dic₇	C₂⁴	1	4	yes	complemented
861	C₄×Dic₇	C₂⁴	1	4	yes	complemented
862	C₄×Dic₇	C₂⁴	1	4	yes	complemented
863	C₄×Dic₇	C₂⁴	1	4	yes	complemented
864	C₂⁶	—	7	1	no	—
865	C₂²×#41	—	7	1	no	—
866	C₂²×#41	—	7	1	no	—
867	C₂²×#41	—	7	1	no	—
868	C₂²×#41	—	7	1	no	—
869	C₂³×D₄	—	7	1	no	—
870	C₂³×D₄	—	7	1	no	—
871	C₂³×D₄	—	7	1	no	—
872	C₂³×D₄	—	7	1	no	—
873	C₂³×D₄	—	7	1	no	—
874	C₂³×D₄	—	7	1	no	—
875	C₂⁴×C₄	—	7	1	no	—
876	C₂⁴×C₄	—	7	1	no	—
877	#551	—	7	16	no	—
878	#551	—	7	16	no	—
879	#551	—	7	16	no	—
880	#551	—	7	16	no	—
881	#551	—	7	16	no	—
882	#551	—	7	16	no	—
883	#551	—	7	16	no	—
884	#551	C₂×D₇	1	16	yes	complemented
885	#546	—	7	16	no	—
886	#546	—	7	16	no	—
887	#546	—	7	16	no	—
888	#546	—	7	16	no	—
889	#546	—	7	16	no	—
890	#546	—	7	16	no	—
891	#546	—	7	16	no	—
892	#546	—	7	16	no	—
893	#543	—	7	16	no	—
894	#538	—	7	16	no	—
895	#538	—	7	16	no	—
896	#538	—	7	16	no	—
897	#538	—	7	16	no	—
898	#534	—	7	16	no	—
899	C₂×#126	—	7	1	no	—
900	C₂×#126	—	7	1	no	—
901	C₂×#126	—	7	1	no	—
902	C₂×#126	—	7	1	no	—
903	C₂×#126	—	7	1	no	—
904	C₂×#126	—	7	1	no	—
905	C₂×#126	C₂×D₇	1	1	yes	characteristic, complemented
906	C₂×#126	C₂×D₇	1	1	yes	characteristic, complemented
907	C₂×#124	—	7	1	no	—
908	C₂×#124	—	7	1	no	—
909	C₂×#124	—	7	1	no	—
910	C₂×#124	—	7	1	no	—
911	C₂×#124	—	7	1	no	—
912	C₂×#124	—	7	1	no	—
913	C₂×#124	—	7	1	no	—
914	C₂×#124	C₂×D₇	1	1	yes	characteristic, complemented
915	#525	—	7	16	no	—
916	#525	—	7	16	no	—
917	#525	—	7	16	no	—
918	#525	—	7	16	no	—
919	C₂×#123	—	7	1	no	—
920	C₂×#123	—	7	1	no	—
921	C₂×#123	—	7	1	no	—
922	C₂×#123	—	7	1	no	—
923	C₂×#123	—	7	1	no	—
924	C₂×#123	—	7	1	no	—
925	C₂×#123	—	7	1	no	—
926	C₂×#123	—	7	1	no	—
927	C₂×#123	—	7	1	no	—
928	C₂×#123	—	7	1	no	—
929	C₂×#123	—	7	1	no	—
930	C₂×#123	—	7	1	no	—
931	C₂×#123	—	7	1	no	—
932	C₂×#123	—	7	1	no	—
933	C₂×#123	—	7	1	no	—
934	C₂×#123	—	7	1	no	—
935	C₂×#123	—	7	1	no	—
936	C₂×#123	C₂×D₇	1	1	yes	characteristic, complemented
937	C₂×#123	C₂×D₇	1	1	yes	characteristic, complemented
938	C₂×#123	C₂×D₇	1	1	yes	characteristic, complemented
939	C₂×C₂²⋊Q₈	—	7	1	no	—
940	C₂×C₂²⋊Q₈	—	7	1	no	—
941	C₂×C₂²⋊Q₈	—	7	1	no	—
942	C₂×C₂²⋊Q₈	—	7	1	no	—
943	C₂×C₂²⋊Q₈	—	7	1	no	—
944	C₂×C₂²⋊Q₈	—	7	1	no	—
945	C₂×C₂²⋊Q₈	—	7	1	no	—
946	C₂×C₂²⋊Q₈	—	7	1	no	—
947	C₂×C₂²⋊Q₈	—	7	1	no	—
948	C₂×C₂²⋊Q₈	—	7	1	no	—
949	C₂×C₂²⋊Q₈	—	7	1	no	—
950	C₂×C₂²⋊Q₈	—	7	1	no	—
951	C₂×C₂²⋊Q₈	—	7	1	no	—
952	C₂×C₂²⋊Q₈	—	7	1	no	—
953	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
954	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
955	C₂×#121	—	7	1	no	—
956	C₂×#121	—	7	1	no	—
957	C₂×#121	—	7	1	no	—
958	C₂×#121	—	7	1	no	—
959	C₂×#121	—	7	1	no	—
960	C₂×#121	—	7	1	no	—
961	C₂×#121	—	7	1	no	—
962	C₂×#121	—	7	1	no	—
963	C₂×#121	—	7	1	no	—
964	C₂×#121	—	7	1	no	—
965	C₂×#121	—	7	1	no	—
966	C₂×#121	—	7	1	no	—
967	C₂×#121	—	7	1	no	—
968	C₂×#121	—	7	1	no	—
969	C₂×#121	—	7	1	no	—
970	C₂×#121	—	7	1	no	—
971	C₂×#120	—	7	1	no	—
972	C₂×#120	—	7	1	no	—
973	C₂×#120	—	7	1	no	—
974	C₂×#120	—	7	1	no	—
975	C₂×#120	—	7	1	no	—
976	C₂×#120	—	7	16	no	—
977	C₂×#120	—	7	1	no	—
978	C₂×#120	—	7	1	no	—
979	C₂×#120	—	7	1	no	—
980	C₂×#120	—	7	1	no	—
981	C₂×#120	—	7	1	no	—
982	C₂×#120	—	7	1	no	—
983	C₂×#120	—	7	1	no	—
984	C₂×#120	—	7	1	no	—
985	C₂×#120	—	7	1	no	—
986	C₂×#120	—	7	1	no	—
987	C₂×#120	—	7	1	no	—
988	C₂×#120	—	7	1	no	—
989	C₂×#120	—	7	16	no	—
990	C₂×#120	—	7	1	no	—
991	C₂×#120	—	7	1	no	—
992	C₂×#120	C₂×D₇	1	1	yes	characteristic
993	#518	—	7	16	no	—
994	#518	—	7	16	no	—
995	C₂×C₄×D₄	—	7	1	no	—
996	C₂×C₄×D₄	—	7	1	no	—
997	C₂×C₄×D₄	—	7	1	no	—
998	C₂×C₄×D₄	—	7	1	no	—
999	C₂×C₄×D₄	—	7	1	no	—
1000	C₂×C₄×D₄	—	7	1	no	—
1001	C₂×C₄×D₄	—	7	1	no	—
1002	C₂×C₄×D₄	—	7	1	no	—
1003	C₂×C₄×D₄	—	7	1	no	—
1004	C₂×C₄×D₄	—	7	1	no	—
1005	C₂×C₄×D₄	—	7	1	no	—
1006	C₂×C₄×D₄	—	7	1	no	—
1007	C₂×C₄×D₄	—	7	1	no	—
1008	C₂×C₄×D₄	—	7	1	no	—
1009	C₂×C₄×D₄	—	7	1	no	—
1010	C₂×C₄×D₄	—	7	1	no	—
1011	C₂×C₄×D₄	—	7	1	no	—
1012	C₂×C₄×D₄	—	7	1	no	—
1013	C₂×C₄×D₄	—	7	1	no	—
1014	C₂×C₄×D₄	—	7	1	no	—
1015	C₂×C₄×D₄	—	7	1	no	—
1016	C₂×C₄×D₄	—	7	1	no	—
1017	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
1018	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
1019	C₂×#117	—	7	1	no	—
1020	C₂×#117	—	7	1	no	—
1021	C₂×#117	—	7	1	no	—
1022	C₂×#117	—	7	1	no	—
1023	C₂×#117	—	7	1	no	—
1024	C₂×#117	—	7	1	no	—
1025	C₂×#117	C₂×D₇	1	1	yes	characteristic, complemented
1026	C₂×#117	C₂×D₇	1	1	yes	characteristic, complemented
1027	C₂²×C₂²⋊C₄	—	7	1	no	—
1028	C₂²×C₂²⋊C₄	—	7	1	no	—
1029	C₂²×C₂²⋊C₄	—	7	1	no	—
1030	C₂²×C₂²⋊C₄	—	7	1	no	—
1031	C₂²×C₂²⋊C₄	—	7	1	no	—
1032	C₂²×C₂²⋊C₄	—	7	1	no	—
1033	C₂²×C₂²⋊C₄	—	7	1	no	—
1034	C₂²×C₂²⋊C₄	—	7	1	no	—
1035	C₂²×C₂²⋊C₄	—	7	1	no	—
1036	C₂²×C₂²⋊C₄	—	7	1	no	—
1037	C₂²×C₂²⋊C₄	—	7	1	no	—
1038	C₂²×C₂²⋊C₄	—	7	1	no	—
1039	C₂²×C₂²⋊C₄	—	7	1	no	—
1040	C₂²×C₂²⋊C₄	—	7	1	no	—
1041	C₂²×C₂²⋊C₄	—	7	1	no	—
1042	C₂²×C₂²⋊C₄	—	7	1	no	—
1043	C₂²×C₂²⋊C₄	—	7	1	no	—
1044	C₂²×C₂²⋊C₄	—	7	1	no	—
1045	C₂²×C₂²⋊C₄	—	7	1	no	—
1046	C₂²×C₂²⋊C₄	—	7	16	no	—
1047	C₂²×C₂²⋊C₄	—	7	1	no	—
1048	C₂²×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
1049	C₂²×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
1050	C₂³×C₇	—	2	2	no	—
1051	C₂³×C₇	—	2	2	no	—
1052	C₂³×C₇	—	2	2	no	—
1053	C₂³×C₇	—	2	2	no	—
1054	C₂³×C₇	—	2	2	no	—
1055	C₂³×C₇	—	2	8	no	—
1056	C₂³×C₇	—	2	2	no	—
1057	C₂³×C₇	—	2	2	no	—
1058	C₂³×C₇	—	2	2	no	—
1059	C₂³×C₇	—	2	8	no	—
1060	C₂³×C₇	—	2	2	no	—
1061	C₂³×C₇	—	2	2	no	—
1062	C₂³×C₇	—	4	4	no	—
1063	C₂³×C₇	—	4	16	no	—
1064	C₂³×C₇	C₂×#41	1	4	yes	—
1065	C₂³×C₇	H(5,𝔽₂)	1	4	yes	—
1066	C₂³×C₇	C₂⁵	1	2	yes	—
1067	C₂³×C₇	C₂⁵	1	2	yes	—
1068	C₂³×C₇	C₂⁵	1	2	yes	—
1069	C₂³×C₇	C₂⁵	1	2	yes	—
1070	C₂³×C₇	C₂⁵	1	1	yes	characteristic
1071	C₂²×D₇	—	2	32	no	—
1072	C₂²×D₇	—	2	2	no	—
1073	C₂²×D₇	—	2	8	no	—
1074	C₂²×D₇	—	2	2	no	—
1075	C₂²×D₇	—	2	2	no	—
1076	C₂²×D₇	—	2	2	no	—
1077	C₂²×D₇	—	2	2	no	—
1078	C₂²×D₇	—	2	2	no	—
1079	C₂²×D₇	—	2	8	no	—
1080	C₂²×D₇	—	2	8	no	—
1081	C₂²×D₇	—	2	2	no	—
1082	C₂²×D₇	—	2	2	no	—
1083	C₂²×D₇	—	2	2	no	—
1084	C₂²×D₇	—	2	8	no	—
1085	C₂²×D₇	—	2	2	no	—
1086	C₂²×D₇	—	2	2	no	—
1087	C₂²×D₇	—	2	2	no	—
1088	C₂²×D₇	—	2	2	no	—
1089	C₂²×D₇	—	2	2	no	—
1090	C₂²×D₇	—	2	2	no	—
1091	C₂²×D₇	—	2	2	no	—
1092	C₂²×D₇	—	2	2	no	—
1093	C₂²×D₇	—	2	2	no	—
1094	C₂²×D₇	—	2	8	no	—
1095	C₂²×D₇	—	2	8	no	—
1096	C₂²×D₇	—	2	8	no	—
1097	C₂²×D₇	—	2	8	no	—
1098	C₂²×D₇	—	2	8	no	—
1099	C₂²×D₇	—	2	8	no	—
1100	C₂²×D₇	—	2	8	no	—
1101	C₂²×D₇	—	2	8	no	—
1102	C₂²×D₇	—	4	16	no	—
1103	C₂²×D₇	—	4	4	no	—
1104	C₂²×D₇	—	4	4	no	—
1105	C₂²×D₇	—	4	4	no	—
1106	C₂²×D₇	—	4	4	no	—
1107	C₂²×D₇	—	4	4	no	—
1108	C₂²×D₇	—	4	4	no	—
1109	C₂²×D₇	—	4	4	no	—
1110	C₂²×D₇	—	4	16	no	—
1111	C₂²×D₇	—	4	4	no	—
1112	C₂²×D₇	—	4	4	no	—
1113	C₂²×D₇	—	4	4	no	—
1114	C₂²×D₇	—	4	4	no	—
1115	C₂²×D₇	—	4	16	no	—
1116	C₂²×D₇	—	4	16	no	—
1117	C₂²×D₇	—	4	128	no	—
1118	C₂²×D₇	—	4	16	no	—
1119	C₂²×D₇	—	8	8	no	—
1120	C₂²×D₇	—	8	8	no	—
1121	C₂²×D₇	C₂×#41	1	4	yes	—
1122	C₂²×D₇	C₂×#41	1	4	yes	—
1123	C₂²×D₇	C₂×#41	1	16	yes	complemented
1124	C₂²×D₇	H(5,𝔽₂)	1	4	yes	—
1125	C₂²×D₇	C₂⁵	1	2	yes	—
1126	C₂²×D₇	C₂⁵	1	2	yes	—
1127	C₂²×D₇	C₂⁵	1	2	yes	—
1128	C₂²×D₇	C₂⁵	1	2	yes	—
1129	C₂²×D₇	C₂⁵	1	2	yes	—
1130	C₂²×D₇	C₂⁵	1	2	yes	—
1131	C₂²×D₇	C₂⁵	1	2	yes	—
1132	C₇×Q₈	—	4	4	no	—
1133	C₇×D₄	—	2	8	no	—
1134	C₇×D₄	—	2	8	no	—
1135	C₇×D₄	—	4	4	no	—
1136	C₂×C₄×C₇	—	2	2	no	—
1137	C₂×C₄×C₇	—	2	8	no	—
1138	C₂×C₄×C₇	—	2	2	no	—
1139	C₂×C₄×C₇	—	2	2	no	—
1140	C₂×C₄×C₇	—	2	2	no	—
1141	C₂×C₄×C₇	—	2	2	no	—
1142	C₂×C₄×C₇	—	2	2	no	—
1143	C₂×C₄×C₇	—	2	2	no	—
1144	C₂×C₄×C₇	—	2	2	no	—
1145	C₂×C₄×C₇	—	2	2	no	—
1146	C₂×C₄×C₇	—	2	2	no	—
1147	C₂×C₄×C₇	—	2	8	no	—
1148	C₂×C₄×C₇	—	2	2	no	—
1149	C₂×C₄×C₇	—	4	4	no	—
1150	C₂×C₄×C₇	—	4	4	no	—
1151	C₂×C₄×C₇	—	4	4	no	—
1152	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1153	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1154	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1155	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1156	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1157	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1158	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1159	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1160	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1161	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1162	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1163	C₂²⋊D₇	—	2	8	no	—
1164	C₂²⋊D₇	—	2	8	no	—
1165	C₂²⋊D₇	—	2	8	no	—
1166	C₂²⋊D₇	—	2	8	no	—
1167	C₂²⋊D₇	—	2	8	no	—
1168	C₂²⋊D₇	—	2	8	no	—
1169	C₂²⋊D₇	—	4	4	no	—
1170	C₂²⋊D₇	—	4	4	no	—
1171	C₂²⋊D₇	—	4	4	no	—
1172	C₂²⋊D₇	—	4	4	no	—
1173	C₂²⋊D₇	—	4	4	no	—
1174	C₂²⋊D₇	—	4	4	no	—
1175	C₂×Dic₇	—	2	2	no	—
1176	C₂×Dic₇	—	2	2	no	—
1177	C₂×Dic₇	—	2	2	no	—
1178	C₂×Dic₇	—	2	2	no	—
1179	C₂×Dic₇	—	2	2	no	—
1180	C₂×Dic₇	—	2	2	no	—
1181	C₂×Dic₇	—	2	2	no	—
1182	C₂×Dic₇	—	2	2	no	—
1183	C₂×Dic₇	—	2	2	no	—
1184	C₂×Dic₇	—	2	8	no	—
1185	C₂×Dic₇	—	4	4	no	—
1186	C₂×Dic₇	—	4	4	no	—
1187	C₂×Dic₇	—	4	4	no	—
1188	C₂×Dic₇	C₂⁵	1	2	yes	—
1189	C₂×Dic₇	C₂⁵	1	2	yes	—
1190	C₂×Dic₇	C₂⁵	1	2	yes	—
1191	C₂×Dic₇	C₂⁵	1	2	yes	—
1192	C₂×Dic₇	C₂⁵	1	2	yes	—
1193	C₂×Dic₇	C₂⁵	1	2	yes	—
1194	C₂×Dic₇	C₂⁵	1	2	yes	—
1195	C₂×Dic₇	C₂⁵	1	2	yes	—
1196	C₂×Dic₇	C₂⁵	1	2	yes	—
1197	D₂₈	—	2	8	no	—
1198	D₂₈	—	2	8	no	—
1199	D₂₈	—	2	8	no	—
1200	D₂₈	—	2	8	no	—
1201	D₂₈	—	2	8	no	—
1202	D₂₈	—	2	8	no	—
1203	D₂₈	—	2	8	no	—
1204	D₂₈	—	2	8	no	—
1205	D₂₈	—	4	4	no	—
1206	D₂₈	—	4	4	no	—
1207	D₂₈	—	4	4	no	—
1208	D₂₈	—	4	4	no	—
1209	D₂₈	—	4	4	no	—
1210	C₄×D₇	—	2	8	no	—
1211	C₄×D₇	—	2	8	no	—
1212	C₄×D₇	—	2	8	no	—
1213	C₄×D₇	—	4	4	no	—
1214	C₄×D₇	—	4	4	no	—
1215	C₄×D₇	—	4	4	no	—
1216	C₄×D₇	—	4	4	no	—
1217	C₄×D₇	—	4	4	no	—
1218	C₄×D₇	—	4	4	no	—
1219	C₄×D₇	—	4	4	no	—
1220	C₄×D₇	—	4	4	no	—
1221	C₄×D₇	—	4	4	no	—
1222	C₄×D₇	—	4	4	no	—
1223	C₄×D₇	—	4	4	no	—
1224	C₄×D₇	—	4	4	no	—
1225	C₄×D₇	—	4	4	no	—
1226	C₄×D₇	—	4	4	no	—
1227	Dic₁₄	—	4	4	no	—
1228	Dic₁₄	—	4	4	no	—
1229	Dic₁₄	—	4	4	no	—
1230	C₂⁵	—	7	1	no	—
1231	C₂⁵	—	7	1	no	—
1232	C₂⁵	—	7	1	no	—
1233	C₂⁵	—	7	1	no	—
1234	C₂⁵	—	7	1	no	—
1235	C₂⁵	—	7	1	no	—
1236	C₂⁵	—	7	8	no	—
1237	C₂⁵	—	7	1	no	—
1238	C₂⁵	—	7	1	no	—
1239	C₂⁵	—	14	8	no	—
1240	C₂⁵	—	28	4	no	—
1241	C₂⁵	—	28	4	no	—
1242	C₂⁵	C₂²×D₇	1	1	yes	characteristic
1243	C₂×#41	—	7	8	no	—
1244	C₂×#41	—	7	8	no	—
1245	C₂×#41	—	7	8	no	—
1246	C₂×#41	—	7	8	no	—
1247	C₂×#41	—	28	4	no	—
1248	C₂×#41	—	28	4	no	—
1249	C₂×#41	—	28	4	no	—
1250	C₂×#41	—	28	4	no	—
1251	C₂²×Q₈	—	7	1	no	—
1252	C₂²×Q₈	—	7	1	no	—
1253	C₂²×Q₈	—	7	1	no	—
1254	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic, complemented
1255	C₂²×D₄	—	7	1	no	—
1256	C₂²×D₄	—	7	1	no	—
1257	C₂²×D₄	—	7	1	no	—
1258	C₂²×D₄	—	7	1	no	—
1259	C₂²×D₄	—	7	1	no	—
1260	C₂²×D₄	—	7	1	no	—
1261	C₂²×D₄	—	7	1	no	—
1262	C₂²×D₄	—	7	1	no	—
1263	C₂²×D₄	—	7	1	no	—
1264	C₂²×D₄	—	7	1	no	—
1265	C₂²×D₄	—	7	1	no	—
1266	C₂²×D₄	—	7	1	no	—
1267	C₂²×D₄	—	7	8	no	—
1268	C₂²×D₄	—	7	8	no	—
1269	C₂²×D₄	—	7	8	no	—
1270	C₂²×D₄	—	7	8	no	—
1271	C₂²×D₄	—	7	1	no	—
1272	C₂²×D₄	—	7	1	no	—
1273	C₂²×D₄	—	7	1	no	—
1274	C₂²×D₄	—	7	1	no	—
1275	C₂²×D₄	—	7	1	no	—
1276	C₂²×D₄	—	7	1	no	—
1277	C₂²×D₄	—	7	1	no	—
1278	C₂²×D₄	—	7	1	no	—
1279	C₂²×D₄	—	7	8	no	—
1280	C₂²×D₄	—	7	1	no	—
1281	C₂²×D₄	—	7	1	no	—
1282	C₂²×D₄	—	7	1	no	—
1283	C₂²×D₄	—	7	1	no	—
1284	C₂²×D₄	—	7	1	no	—
1285	C₂²×D₄	—	7	8	no	—
1286	C₂²×D₄	—	14	8	no	—
1287	C₂²×D₄	—	14	8	no	—
1288	C₂²×D₄	—	28	4	no	—
1289	C₂²×D₄	—	28	4	no	—
1290	C₂²×D₄	—	28	4	no	—
1291	C₂²×D₄	—	28	4	no	—
1292	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1293	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1294	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1295	C₂³×C₄	—	7	1	no	—
1296	C₂³×C₄	—	7	1	no	—
1297	C₂³×C₄	—	7	1	no	—
1298	C₂³×C₄	—	7	1	no	—
1299	C₂³×C₄	—	7	1	no	—
1300	C₂³×C₄	—	7	1	no	—
1301	C₂³×C₄	—	7	1	no	—
1302	C₂³×C₄	—	7	1	no	—
1303	C₂³×C₄	—	7	1	no	—
1304	C₂³×C₄	—	7	1	no	—
1305	C₂³×C₄	—	7	1	no	—
1306	C₂³×C₄	—	7	1	no	—
1307	C₂³×C₄	—	7	1	no	—
1308	C₂³×C₄	—	7	1	no	—
1309	C₂³×C₄	—	7	1	no	—
1310	C₂³×C₄	—	7	8	no	—
1311	C₂³×C₄	—	7	8	no	—
1312	C₂³×C₄	—	7	1	no	—
1313	C₂³×C₄	—	7	1	no	—
1314	C₂³×C₄	—	7	1	no	—
1315	C₂³×C₄	—	7	1	no	—
1316	C₂³×C₄	—	7	1	no	—
1317	C₂³×C₄	—	7	1	no	—
1318	C₂³×C₄	—	28	4	no	—
1319	C₂³×C₄	—	28	4	no	—
1320	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1321	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1322	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1323	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1324	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1325	#126	—	7	8	no	—
1326	#126	—	7	8	no	—
1327	#126	—	7	8	no	—
1328	#126	—	7	8	no	—
1329	#126	—	7	8	no	—
1330	#126	—	7	8	no	—
1331	#126	C₂²×D₇	1	8	yes	complemented
1332	#126	C₂²×D₇	1	8	yes	complemented
1333	#124	—	7	8	no	—
1334	#124	—	7	8	no	—
1335	#124	—	7	8	no	—
1336	#124	—	7	8	no	—
1337	#124	—	7	8	no	—
1338	#124	—	7	8	no	—
1339	#124	—	7	8	no	—
1340	#124	C₂²×D₇	1	8	yes	complemented
1341	#123	—	7	8	no	—
1342	#123	—	7	8	no	—
1343	#123	—	7	8	no	—
1344	#123	—	7	8	no	—
1345	#123	—	7	8	no	—
1346	#123	—	7	8	no	—
1347	#123	—	7	8	no	—
1348	#123	—	7	8	no	—
1349	#123	—	7	8	no	—
1350	#123	—	7	8	no	—
1351	#123	—	7	8	no	—
1352	#123	—	7	8	no	—
1353	#123	—	7	8	no	—
1354	#123	—	7	8	no	—
1355	#123	—	7	8	no	—
1356	#123	—	7	8	no	—
1357	#123	—	7	8	no	—
1358	#123	C₂²×D₇	1	8	yes	complemented
1359	#123	C₂²×D₇	1	8	yes	complemented
1360	#123	C₂²×D₇	1	8	yes	complemented
1361	C₂²⋊Q₈	—	7	8	no	—
1362	C₂²⋊Q₈	—	7	8	no	—
1363	C₂²⋊Q₈	—	7	8	no	—
1364	C₂²⋊Q₈	—	7	8	no	—
1365	C₂²⋊Q₈	—	7	8	no	—
1366	C₂²⋊Q₈	—	7	8	no	—
1367	C₂²⋊Q₈	—	7	8	no	—
1368	C₂²⋊Q₈	—	7	8	no	—
1369	C₂²⋊Q₈	—	7	8	no	—
1370	C₂²⋊Q₈	—	7	8	no	—
1371	C₂²⋊Q₈	—	7	8	no	—
1372	C₂²⋊Q₈	—	7	8	no	—
1373	C₂²⋊Q₈	—	7	8	no	—
1374	C₂²⋊Q₈	—	7	8	no	—
1375	C₂²⋊Q₈	C₂²×D₇	1	8	yes	complemented
1376	C₂²⋊Q₈	C₂²×D₇	1	8	yes	complemented
1377	#121	—	7	8	no	—
1378	#121	—	7	8	no	—
1379	#121	—	7	8	no	—
1380	#121	—	7	8	no	—
1381	#121	—	7	8	no	—
1382	#121	—	7	8	no	—
1383	#121	—	7	8	no	—
1384	#121	—	7	8	no	—
1385	#121	—	7	8	no	—
1386	#121	—	7	8	no	—
1387	#121	—	7	8	no	—
1388	#121	—	7	8	no	—
1389	#121	—	7	8	no	—
1390	#121	—	7	8	no	—
1391	#121	—	7	8	no	—
1392	#121	—	7	8	no	—
1393	#120	—	7	8	no	—
1394	#120	—	7	8	no	—
1395	#120	—	7	8	no	—
1396	#120	—	7	8	no	—
1397	#120	—	7	8	no	—
1398	#120	—	7	8	no	—
1399	#120	—	7	8	no	—
1400	#120	—	7	8	no	—
1401	#120	—	7	8	no	—
1402	#120	—	7	8	no	—
1403	#120	—	7	8	no	—
1404	#120	—	7	8	no	—
1405	#120	—	7	8	no	—
1406	#120	—	7	8	no	—
1407	#120	—	7	8	no	—
1408	#120	—	7	8	no	—
1409	#120	—	7	8	no	—
1410	#120	—	7	8	no	—
1411	#120	—	7	8	no	—
1412	#120	C₂²×D₇	1	8	yes	—
1413	C₄×D₄	—	7	8	no	—
1414	C₄×D₄	—	7	8	no	—
1415	C₄×D₄	—	7	8	no	—
1416	C₄×D₄	—	7	8	no	—
1417	C₄×D₄	—	7	8	no	—
1418	C₄×D₄	—	7	8	no	—
1419	C₄×D₄	—	7	8	no	—
1420	C₄×D₄	—	7	8	no	—
1421	C₄×D₄	—	7	8	no	—
1422	C₄×D₄	—	7	8	no	—
1423	C₄×D₄	—	7	8	no	—
1424	C₄×D₄	—	7	8	no	—
1425	C₄×D₄	—	7	8	no	—
1426	C₄×D₄	—	7	8	no	—
1427	C₄×D₄	—	7	8	no	—
1428	C₄×D₄	—	7	8	no	—
1429	C₄×D₄	—	7	8	no	—
1430	C₄×D₄	—	7	8	no	—
1431	C₄×D₄	—	7	8	no	—
1432	C₄×D₄	—	7	8	no	—
1433	C₄×D₄	—	7	8	no	—
1434	C₄×D₄	—	7	8	no	—
1435	C₄×D₄	C₂²×D₇	1	8	yes	complemented
1436	C₄×D₄	C₂²×D₇	1	8	yes	complemented
1437	#117	—	7	8	no	—
1438	#117	—	7	8	no	—
1439	#117	—	7	8	no	—
1440	#117	—	7	8	no	—
1441	#117	—	7	8	no	—
1442	#117	—	7	8	no	—
1443	#117	C₂²×D₇	1	8	yes	complemented
1444	#117	C₂²×D₇	1	8	yes	complemented
1445	C₂×C₄⋊C₄	—	7	1	no	—
1446	C₂×C₄⋊C₄	—	7	1	no	—
1447	C₂×C₄⋊C₄	—	7	1	no	—
1448	C₂×C₄⋊C₄	—	7	1	no	—
1449	C₂×C₄⋊C₄	—	7	1	no	—
1450	C₂×C₄⋊C₄	—	7	1	no	—
1451	C₂×C₄⋊C₄	—	7	1	no	—
1452	C₂×C₄⋊C₄	—	7	1	no	—
1453	C₂×C₄⋊C₄	—	7	1	no	—
1454	C₂×C₄⋊C₄	—	7	1	no	—
1455	C₂×C₄⋊C₄	—	7	1	no	—
1456	C₂×C₄⋊C₄	—	7	1	no	—
1457	C₂×C₄⋊C₄	—	7	1	no	—
1458	C₂×C₄⋊C₄	—	7	1	no	—
1459	C₂×C₄⋊C₄	—	7	1	no	—
1460	C₂×C₄⋊C₄	—	7	1	no	—
1461	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1462	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1463	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1464	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1465	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1466	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1467	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1468	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1469	C₂×C₂²⋊C₄	—	7	1	no	—
1470	C₂×C₂²⋊C₄	—	7	1	no	—
1471	C₂×C₂²⋊C₄	—	7	1	no	—
1472	C₂×C₂²⋊C₄	—	7	1	no	—
1473	C₂×C₂²⋊C₄	—	7	8	no	—
1474	C₂×C₂²⋊C₄	—	7	1	no	—
1475	C₂×C₂²⋊C₄	—	7	1	no	—
1476	C₂×C₂²⋊C₄	—	7	1	no	—
1477	C₂×C₂²⋊C₄	—	7	1	no	—
1478	C₂×C₂²⋊C₄	—	7	1	no	—
1479	C₂×C₂²⋊C₄	—	7	1	no	—
1480	C₂×C₂²⋊C₄	—	7	1	no	—
1481	C₂×C₂²⋊C₄	—	7	1	no	—
1482	C₂×C₂²⋊C₄	—	7	1	no	—
1483	C₂×C₂²⋊C₄	—	7	1	no	—
1484	C₂×C₂²⋊C₄	—	7	1	no	—
1485	C₂×C₂²⋊C₄	—	7	1	no	—
1486	C₂×C₂²⋊C₄	—	7	8	no	—
1487	C₂×C₂²⋊C₄	—	7	8	no	—
1488	C₂×C₂²⋊C₄	—	7	1	no	—
1489	C₂×C₂²⋊C₄	—	7	1	no	—
1490	C₂×C₂²⋊C₄	—	7	1	no	—
1491	C₂×C₂²⋊C₄	—	7	1	no	—
1492	C₂×C₂²⋊C₄	—	7	1	no	—
1493	C₂×C₂²⋊C₄	—	7	1	no	—
1494	C₂×C₂²⋊C₄	—	7	1	no	—
1495	C₂×C₂²⋊C₄	—	7	1	no	—
1496	C₂×C₂²⋊C₄	—	7	1	no	—
1497	C₂×C₂²⋊C₄	—	7	1	no	—
1498	C₂×C₂²⋊C₄	—	7	1	no	—
1499	C₂×C₂²⋊C₄	—	7	1	no	—
1500	C₂×C₂²⋊C₄	—	7	1	no	—
1501	C₂×C₂²⋊C₄	—	7	1	no	—
1502	C₂×C₂²⋊C₄	—	7	1	no	—
1503	C₂×C₂²⋊C₄	—	7	1	no	—
1504	C₂×C₂²⋊C₄	—	7	8	no	—
1505	C₂×C₂²⋊C₄	—	7	1	no	—
1506	C₂×C₂²⋊C₄	—	7	1	no	—
1507	C₂×C₂²⋊C₄	—	7	1	no	—
1508	C₂×C₂²⋊C₄	—	7	1	no	—
1509	C₂×C₂²⋊C₄	—	7	8	no	—
1510	C₂×C₂²⋊C₄	—	7	1	no	—
1511	C₂×C₂²⋊C₄	—	7	1	no	—
1512	C₂×C₂²⋊C₄	—	7	1	no	—
1513	C₂×C₂²⋊C₄	—	7	1	no	—
1514	C₂×C₂²⋊C₄	—	7	1	no	—
1515	C₂×C₂²⋊C₄	—	7	1	no	—
1516	C₂×C₂²⋊C₄	—	7	8	no	—
1517	C₂×C₂²⋊C₄	—	7	8	no	—
1518	C₂×C₂²⋊C₄	—	7	8	no	—
1519	C₂×C₂²⋊C₄	—	7	8	no	—
1520	C₂×C₂²⋊C₄	—	7	8	no	—
1521	C₂×C₂²⋊C₄	—	7	8	no	—
1522	C₂×C₂²⋊C₄	—	7	8	no	—
1523	C₂×C₂²⋊C₄	—	7	8	no	—
1524	C₂×C₂²⋊C₄	—	7	8	no	—
1525	C₂×C₂²⋊C₄	—	7	8	no	—
1526	C₂×C₂²⋊C₄	—	7	8	no	—
1527	C₂×C₂²⋊C₄	—	7	8	no	—
1528	C₂×C₂²⋊C₄	—	7	8	no	—
1529	C₂×C₂²⋊C₄	—	7	8	no	—
1530	C₂×C₂²⋊C₄	—	7	8	no	—
1531	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1532	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1533	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1534	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1535	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1536	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1537	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1538	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1539	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1540	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1541	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1542	C₂×C₂²⋊C₄	C₂²×D₇	1	8	yes	complemented
1543	C₂×C₂²⋊C₄	C₂²×D₇	1	8	yes	complemented
1544	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1545	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1546	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic, complemented
1547	C₂×C₄²	—	7	1	no	—
1548	C₂×C₄²	—	7	1	no	—
1549	C₂×C₄²	—	7	1	no	—
1550	C₂×C₄²	—	7	1	no	—
1551	C₂×C₄²	—	7	1	no	—
1552	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic, complemented
1553	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic, complemented
1554	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic, complemented
1555	C₂²×C₇	—	2	2	no	—
1556	C₂²×C₇	—	2	2	no	—
1557	C₂²×C₇	—	2	2	no	—
1558	C₂²×C₇	—	2	2	no	—
1559	C₂²×C₇	—	2	8	no	—
1560	C₂²×C₇	—	2	8	no	—
1561	C₂²×C₇	—	2	2	no	—
1562	C₂²×C₇	—	2	2	no	—
1563	C₂²×C₇	—	2	2	no	—
1564	C₂²×C₇	—	2	2	no	—
1565	C₂²×C₇	—	2	2	no	—
1566	C₂²×C₇	—	2	2	no	—
1567	C₂²×C₇	—	4	16	no	—
1568	C₂²×C₇	—	4	4	no	—
1569	C₂²×C₇	—	4	4	no	—
1570	C₂²×C₇	C₂²×#41	1	4	yes	—
1571	C₂²×C₇	C₂²×#41	1	2	yes	—
1572	C₂²×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
1573	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1574	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1575	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1576	C₂×D₇	—	2	32	no	—
1577	C₂×D₇	—	2	2	no	—
1578	C₂×D₇	—	2	2	no	—
1579	C₂×D₇	—	2	2	no	—
1580	C₂×D₇	—	2	2	no	—
1581	C₂×D₇	—	2	2	no	—
1582	C₂×D₇	—	2	2	no	—
1583	C₂×D₇	—	2	8	no	—
1584	C₂×D₇	—	2	8	no	—
1585	C₂×D₇	—	2	8	no	—
1586	C₂×D₇	—	2	2	no	—
1587	C₂×D₇	—	2	2	no	—
1588	C₂×D₇	—	2	2	no	—
1589	C₂×D₇	—	2	2	no	—
1590	C₂×D₇	—	2	2	no	—
1591	C₂×D₇	—	2	2	no	—
1592	C₂×D₇	—	2	2	no	—
1593	C₂×D₇	—	2	2	no	—
1594	C₂×D₇	—	2	2	no	—
1595	C₂×D₇	—	2	2	no	—
1596	C₂×D₇	—	2	2	no	—
1597	C₂×D₇	—	2	2	no	—
1598	C₂×D₇	—	4	16	no	—
1599	C₂×D₇	—	4	16	no	—
1600	C₂×D₇	—	4	16	no	—
1601	C₂×D₇	—	4	16	no	—
1602	C₂×D₇	—	4	16	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	—	8	8	no	—
1608	C₂×D₇	—	8	8	no	—
1609	C₂×D₇	C₂²×#41	1	4	yes	—
1610	C₂×D₇	C₂²×#41	1	4	yes	—
1611	C₂×D₇	C₂×H(5,𝔽₂)	1	4	yes	—
1612	C₄×C₇	—	2	2	no	—
1613	C₄×C₇	—	2	2	no	—
1614	C₄×C₇	—	2	2	no	—
1615	C₄×C₇	—	2	2	no	—
1616	C₄×C₇	—	2	2	no	—
1617	C₄×C₇	—	2	2	no	—
1618	C₄×C₇	—	2	2	no	—
1619	C₄×C₇	—	2	2	no	—
1620	C₄×C₇	—	2	2	no	—
1621	C₄×C₇	—	2	2	no	—
1622	C₄×C₇	—	2	2	no	—
1623	Dic₇	—	2	2	no	—
1624	Dic₇	—	2	2	no	—
1625	Dic₇	—	2	2	no	—
1626	Dic₇	—	2	2	no	—
1627	Dic₇	—	2	2	no	—
1628	Dic₇	—	2	2	no	—
1629	Dic₇	—	2	2	no	—
1630	Dic₇	—	2	2	no	—
1631	Dic₇	—	2	2	no	—
1632	C₂⁴	—	2	4	no	—
1633	C₂⁴	—	2	4	no	—
1634	C₂⁴	—	4	2	no	—
1635	C₂⁴	—	7	1	no	—
1636	C₂⁴	—	7	1	no	—
1637	C₂⁴	—	7	1	no	—
1638	C₂⁴	—	7	8	no	—
1639	C₂⁴	—	7	4	no	—
1640	C₂⁴	—	7	4	no	—
1641	C₂⁴	—	7	1	no	—
1642	C₂⁴	—	7	1	no	—
1643	C₂⁴	—	7	1	no	—
1644	C₂⁴	—	7	1	no	—
1645	C₂⁴	—	7	4	no	—
1646	C₂⁴	—	7	4	no	—
1647	C₂⁴	—	7	4	no	—
1648	C₂⁴	—	7	4	no	—
1649	C₂⁴	—	7	4	no	—
1650	C₂⁴	—	7	4	no	—
1651	C₂⁴	—	14	4	no	—
1652	C₂⁴	—	14	4	no	—
1653	C₂⁴	—	14	4	no	—
1654	C₂⁴	—	14	4	no	—
1655	C₂⁴	—	14	4	no	—
1656	C₂⁴	—	14	4	no	—
1657	C₂⁴	—	14	4	no	—
1658	C₂⁴	—	14	32	no	—
1659	C₂⁴	—	14	4	no	—
1660	C₂⁴	—	14	4	no	—
1661	C₂⁴	—	14	4	no	—
1662	C₂⁴	—	14	4	no	—
1663	C₂⁴	—	14	4	no	—
1664	C₂⁴	—	28	2	no	—
1665	C₂⁴	—	28	2	no	—
1666	C₂⁴	—	28	2	no	—
1667	C₂⁴	—	28	2	no	—
1668	C₂⁴	—	28	2	no	—
1669	C₂⁴	—	28	16	no	—
1670	C₂⁴	—	28	2	no	—
1671	C₂⁴	—	28	2	no	—
1672	C₂⁴	—	28	2	no	—
1673	C₂⁴	—	28	2	no	—
1674	C₂⁴	—	28	2	no	—
1675	C₂⁴	—	28	2	no	—
1676	C₂⁴	—	28	16	no	—
1677	C₂⁴	—	28	64	no	—
1678	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1679	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1680	C₂⁴	C₂³×D₇	1	4	yes	—
1681	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1682	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1683	#41	—	28	16	no	—
1684	#41	—	28	16	no	—
1685	#41	—	28	16	no	—
1686	#41	—	28	16	no	—
1687	C₂×Q₈	—	4	2	no	—
1688	C₂×Q₈	—	7	4	no	—
1689	C₂×Q₈	—	7	4	no	—
1690	C₂×Q₈	—	7	4	no	—
1691	C₂×Q₈	—	28	2	no	—
1692	C₂×Q₈	—	28	2	no	—
1693	C₂×Q₈	—	28	2	no	—
1694	C₂×Q₈	C₂³×D₇	1	4	yes	complemented
1695	C₂×D₄	—	2	4	no	—
1696	C₂×D₄	—	2	4	no	—
1697	C₂×D₄	—	4	2	no	—
1698	C₂×D₄	—	7	4	no	—
1699	C₂×D₄	—	7	4	no	—
1700	C₂×D₄	—	7	4	no	—
1701	C₂×D₄	—	7	4	no	—
1702	C₂×D₄	—	7	4	no	—
1703	C₂×D₄	—	7	4	no	—
1704	C₂×D₄	—	7	4	no	—
1705	C₂×D₄	—	7	4	no	—
1706	C₂×D₄	—	7	4	no	—
1707	C₂×D₄	—	7	4	no	—
1708	C₂×D₄	—	7	4	no	—
1709	C₂×D₄	—	7	4	no	—
1710	C₂×D₄	—	7	4	no	—
1711	C₂×D₄	—	7	4	no	—
1712	C₂×D₄	—	7	4	no	—
1713	C₂×D₄	—	7	4	no	—
1714	C₂×D₄	—	7	4	no	—
1715	C₂×D₄	—	7	4	no	—
1716	C₂×D₄	—	7	4	no	—
1717	C₂×D₄	—	7	4	no	—
1718	C₂×D₄	—	7	4	no	—
1719	C₂×D₄	—	7	4	no	—
1720	C₂×D₄	—	7	4	no	—
1721	C₂×D₄	—	7	4	no	—
1722	C₂×D₄	—	7	4	no	—
1723	C₂×D₄	—	14	4	no	—
1724	C₂×D₄	—	14	4	no	—
1725	C₂×D₄	—	14	4	no	—
1726	C₂×D₄	—	14	4	no	—
1727	C₂×D₄	—	14	32	no	—
1728	C₂×D₄	—	14	4	no	—
1729	C₂×D₄	—	14	4	no	—
1730	C₂×D₄	—	14	4	no	—
1731	C₂×D₄	—	14	4	no	—
1732	C₂×D₄	—	14	32	no	—
1733	C₂×D₄	—	14	4	no	—
1734	C₂×D₄	—	14	4	no	—
1735	C₂×D₄	—	14	4	no	—
1736	C₂×D₄	—	14	4	no	—
1737	C₂×D₄	—	14	4	no	—
1738	C₂×D₄	—	14	4	no	—
1739	C₂×D₄	—	28	2	no	—
1740	C₂×D₄	—	28	2	no	—
1741	C₂×D₄	—	28	2	no	—
1742	C₂×D₄	—	28	2	no	—
1743	C₂×D₄	—	28	2	no	—
1744	C₂×D₄	—	28	16	no	—
1745	C₂×D₄	—	28	2	no	—
1746	C₂×D₄	—	28	2	no	—
1747	C₂×D₄	—	28	2	no	—
1748	C₂×D₄	—	28	2	no	—
1749	C₂×D₄	—	28	2	no	—
1750	C₂×D₄	—	28	2	no	—
1751	C₂×D₄	—	28	16	no	—
1752	C₂×D₄	—	28	16	no	—
1753	C₂×D₄	—	28	16	no	—
1754	C₂×D₄	C₂³×D₇	1	4	yes	—
1755	C₂×D₄	C₂³×D₇	1	4	yes	—
1756	C₂×D₄	C₂³×D₇	1	4	yes	—
1757	C₂²×C₄	—	2	4	no	—
1758	C₂²×C₄	—	2	4	no	—
1759	C₂²×C₄	—	4	2	no	—
1760	C₂²×C₄	—	4	2	no	—
1761	C₂²×C₄	—	4	2	no	—
1762	C₂²×C₄	—	7	4	no	—
1763	C₂²×C₄	—	7	1	no	—
1764	C₂²×C₄	—	7	1	no	—
1765	C₂²×C₄	—	7	1	no	—
1766	C₂²×C₄	—	7	1	no	—
1767	C₂²×C₄	—	7	1	no	—
1768	C₂²×C₄	—	7	1	no	—
1769	C₂²×C₄	—	7	1	no	—
1770	C₂²×C₄	—	7	1	no	—
1771	C₂²×C₄	—	7	1	no	—
1772	C₂²×C₄	—	7	4	no	—
1773	C₂²×C₄	—	7	4	no	—
1774	C₂²×C₄	—	7	4	no	—
1775	C₂²×C₄	—	7	4	no	—
1776	C₂²×C₄	—	7	4	no	—
1777	C₂²×C₄	—	7	4	no	—
1778	C₂²×C₄	—	7	4	no	—
1779	C₂²×C₄	—	7	4	no	—
1780	C₂²×C₄	—	7	4	no	—
1781	C₂²×C₄	—	7	4	no	—
1782	C₂²×C₄	—	7	4	no	—
1783	C₂²×C₄	—	7	4	no	—
1784	C₂²×C₄	—	7	4	no	—
1785	C₂²×C₄	—	7	4	no	—
1786	C₂²×C₄	—	7	4	no	—
1787	C₂²×C₄	—	7	4	no	—
1788	C₂²×C₄	—	7	4	no	—
1789	C₂²×C₄	—	7	4	no	—
1790	C₂²×C₄	—	7	4	no	—
1791	C₂²×C₄	—	7	4	no	—
1792	C₂²×C₄	—	14	4	no	—
1793	C₂²×C₄	—	14	4	no	—
1794	C₂²×C₄	—	14	4	no	—
1795	C₂²×C₄	—	14	4	no	—
1796	C₂²×C₄	—	28	2	no	—
1797	C₂²×C₄	—	28	2	no	—
1798	C₂²×C₄	—	28	2	no	—
1799	C₂²×C₄	—	28	2	no	—
1800	C₂²×C₄	—	28	16	no	—
1801	C₂²×C₄	—	28	2	no	—
1802	C₂²×C₄	—	28	2	no	—
1803	C₂²×C₄	—	28	2	no	—
1804	C₂²×C₄	—	28	2	no	—
1805	C₂²×C₄	—	28	2	no	—
1806	C₂²×C₄	—	28	2	no	—
1807	C₂²×C₄	—	28	2	no	—
1808	C₂²×C₄	—	28	2	no	—
1809	C₂²×C₄	—	28	2	no	—
1810	C₂²×C₄	—	28	2	no	—
1811	C₂²×C₄	—	28	16	no	—
1812	C₂²×C₄	—	28	2	no	—
1813	C₂²×C₄	—	28	2	no	—
1814	C₂²×C₄	—	28	2	no	—
1815	C₂²×C₄	C₂³×D₇	1	4	yes	—
1816	C₂²×C₄	C₂³×D₇	1	4	yes	—
1817	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1818	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1819	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1820	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1821	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1822	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1823	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1824	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1825	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1826	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1827	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1828	C₂²×C₄	C₂³×D₇	1	4	yes	—
1829	C₂²×C₄	C₂³×D₇	1	4	yes	—
1830	C₂²×C₄	C₂³×D₇	1	4	yes	complemented
1831	C₄⋊C₄	—	7	4	no	—
1832	C₄⋊C₄	—	7	4	no	—
1833	C₄⋊C₄	—	7	4	no	—
1834	C₄⋊C₄	—	7	4	no	—
1835	C₄⋊C₄	—	7	4	no	—
1836	C₄⋊C₄	—	7	4	no	—
1837	C₄⋊C₄	—	7	4	no	—
1838	C₄⋊C₄	—	7	4	no	—
1839	C₄⋊C₄	—	7	4	no	—
1840	C₄⋊C₄	—	7	4	no	—
1841	C₄⋊C₄	—	7	4	no	—
1842	C₄⋊C₄	—	7	4	no	—
1843	C₄⋊C₄	—	7	4	no	—
1844	C₄⋊C₄	—	7	4	no	—
1845	C₄⋊C₄	—	7	4	no	—
1846	C₄⋊C₄	—	7	4	no	—
1847	C₄⋊C₄	C₂³×D₇	1	4	yes	complemented
1848	C₄⋊C₄	C₂³×D₇	1	4	yes	complemented
1849	C₄⋊C₄	C₂³×D₇	1	4	yes	complemented
1850	C₄⋊C₄	C₂³×D₇	1	4	yes	complemented
1851	C₄⋊C₄	C₂³×D₇	1	4	yes	complemented
1852	C₄⋊C₄	C₂³×D₇	1	4	yes	complemented
1853	C₄⋊C₄	C₂³×D₇	1	4	yes	complemented
1854	C₄⋊C₄	C₂³×D₇	1	4	yes	complemented
1855	C₂²⋊C₄	—	7	4	no	—
1856	C₂²⋊C₄	—	7	4	no	—
1857	C₂²⋊C₄	—	7	4	no	—
1858	C₂²⋊C₄	—	7	4	no	—
1859	C₂²⋊C₄	—	7	4	no	—
1860	C₂²⋊C₄	—	7	4	no	—
1861	C₂²⋊C₄	—	7	4	no	—
1862	C₂²⋊C₄	—	7	4	no	—
1863	C₂²⋊C₄	—	7	4	no	—
1864	C₂²⋊C₄	—	7	4	no	—
1865	C₂²⋊C₄	—	7	4	no	—
1866	C₂²⋊C₄	—	7	4	no	—
1867	C₂²⋊C₄	—	7	4	no	—
1868	C₂²⋊C₄	—	7	4	no	—
1869	C₂²⋊C₄	—	7	4	no	—
1870	C₂²⋊C₄	—	7	4	no	—
1871	C₂²⋊C₄	—	7	4	no	—
1872	C₂²⋊C₄	—	7	4	no	—
1873	C₂²⋊C₄	—	7	4	no	—
1874	C₂²⋊C₄	—	7	4	no	—
1875	C₂²⋊C₄	—	7	4	no	—
1876	C₂²⋊C₄	—	7	4	no	—
1877	C₂²⋊C₄	—	7	4	no	—
1878	C₂²⋊C₄	—	7	4	no	—
1879	C₂²⋊C₄	—	7	4	no	—
1880	C₂²⋊C₄	—	7	4	no	—
1881	C₂²⋊C₄	—	7	4	no	—
1882	C₂²⋊C₄	—	7	4	no	—
1883	C₂²⋊C₄	—	7	4	no	—
1884	C₂²⋊C₄	—	7	4	no	—
1885	C₂²⋊C₄	—	7	4	no	—
1886	C₂²⋊C₄	—	7	4	no	—
1887	C₂²⋊C₄	—	7	4	no	—
1888	C₂²⋊C₄	—	7	4	no	—
1889	C₂²⋊C₄	—	7	4	no	—
1890	C₂²⋊C₄	—	7	4	no	—
1891	C₂²⋊C₄	—	7	4	no	—
1892	C₂²⋊C₄	—	7	4	no	—
1893	C₂²⋊C₄	—	7	4	no	—
1894	C₂²⋊C₄	—	7	4	no	—
1895	C₂²⋊C₄	—	7	4	no	—
1896	C₂²⋊C₄	—	7	4	no	—
1897	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1898	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1899	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1900	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1901	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1902	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1903	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1904	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1905	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1906	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1907	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1908	C₂²⋊C₄	C₂³×D₇	1	4	yes	complemented
1909	C₂²⋊C₄	C₂³×D₇	1	4	yes	complemented
1910	C₂²⋊C₄	C₂³×D₇	1	4	yes	complemented
1911	C₄²	—	7	4	no	—
1912	C₄²	—	7	4	no	—
1913	C₄²	—	7	4	no	—
1914	C₄²	—	7	4	no	—
1915	C₄²	—	7	4	no	—
1916	C₄²	C₂³×D₇	1	4	yes	complemented
1917	C₄²	C₂³×D₇	1	4	yes	complemented
1918	C₄²	C₂³×D₇	1	4	yes	complemented
1919	C₂×C₇	—	2	4	no	—
1920	C₂×C₇	—	2	4	no	—
1921	C₂×C₇	—	4	2	no	—
1922	C₂×C₇	—	4	2	no	—
1923	C₂×C₇	#3490	1	4	yes	complemented
1924	C₂×C₇	C₂³×#41	1	1	yes	characteristic
1925	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1926	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1927	D₇	—	2	4	no	—
1928	D₇	—	2	4	no	—
1929	D₇	—	2	4	no	—
1930	D₇	—	4	2	no	—
1931	D₇	—	4	2	no	—
1932	D₇	—	4	2	no	—
1933	D₇	—	4	2	no	—
1934	C₂³	—	2	2	no	—
1935	C₂³	—	2	2	no	—
1936	C₂³	—	2	2	no	—
1937	C₂³	—	2	2	no	—
1938	C₂³	—	2	2	no	—
1939	C₂³	—	2	8	no	—
1940	C₂³	—	2	2	no	—
1941	C₂³	—	2	2	no	—
1942	C₂³	—	2	8	no	—
1943	C₂³	—	2	2	no	—
1944	C₂³	—	2	2	no	—
1945	C₂³	—	2	2	no	—
1946	C₂³	—	4	4	no	—
1947	C₂³	—	4	16	no	—
1948	C₂³	—	7	2	no	—
1949	C₂³	—	7	2	no	—
1950	C₂³	—	7	2	no	—
1951	C₂³	—	7	4	no	—
1952	C₂³	—	7	4	no	—
1953	C₂³	—	7	4	no	—
1954	C₂³	—	7	16	no	—
1955	C₂³	—	7	2	no	—
1956	C₂³	—	7	2	no	—
1957	C₂³	—	7	2	no	—
1958	C₂³	—	7	2	no	—
1959	C₂³	—	14	8	no	—
1960	C₂³	—	14	8	no	—
1961	C₂³	—	14	8	no	—
1962	C₂³	—	14	8	no	—
1963	C₂³	—	14	8	no	—
1964	C₂³	—	14	8	no	—
1965	C₂³	—	14	8	no	—
1966	C₂³	—	14	8	no	—
1967	C₂³	—	14	32	no	—
1968	C₂³	—	14	2	no	—
1969	C₂³	—	14	8	no	—
1970	C₂³	—	14	2	no	—
1971	C₂³	—	14	2	no	—
1972	C₂³	—	14	2	no	—
1973	C₂³	—	14	2	no	—
1974	C₂³	—	14	2	no	—
1975	C₂³	—	14	2	no	—
1976	C₂³	—	14	2	no	—
1977	C₂³	—	14	2	no	—
1978	C₂³	—	14	8	no	—
1979	C₂³	—	14	2	no	—
1980	C₂³	—	14	2	no	—
1981	C₂³	—	14	2	no	—
1982	C₂³	—	14	2	no	—
1983	C₂³	—	14	8	no	—
1984	C₂³	—	14	2	no	—
1985	C₂³	—	14	2	no	—
1986	C₂³	—	14	2	no	—
1987	C₂³	—	14	2	no	—
1988	C₂³	—	14	2	no	—
1989	C₂³	—	14	8	no	—
1990	C₂³	—	28	4	no	—
1991	C₂³	—	28	4	no	—
1992	C₂³	—	28	4	no	—
1993	C₂³	—	28	4	no	—
1994	C₂³	—	28	16	no	—
1995	C₂³	—	28	4	no	—
1996	C₂³	—	28	4	no	—
1997	C₂³	—	28	4	no	—
1998	C₂³	—	28	4	no	—
1999	C₂³	—	28	4	no	—
2000	C₂³	—	28	4	no	—
2001	C₂³	—	28	4	no	—
2002	C₂³	—	28	16	no	—
2003	C₂³	—	28	16	no	—
2004	C₂³	—	28	16	no	—
2005	C₂³	—	28	128	no	—
2006	C₂³	—	28	16	no	—
2007	C₂³	—	56	8	no	—
2008	C₂³	—	56	8	no	—
2009	C₂³	D₇×#41	1	4	yes	—
2010	C₂³	#6553	1	4	yes	—
2011	C₂³	C₂⁴×D₇	1	2	yes	—
2012	C₂³	C₂⁴×D₇	1	2	yes	—
2013	C₂³	C₂⁴×D₇	1	2	yes	—
2014	C₂³	C₂⁴×D₇	1	2	yes	—
2015	C₂³	C₂⁴×D₇	1	1	yes	characteristic
2016	Q₈	—	4	4	no	—
2017	Q₈	—	28	4	no	—
2018	Q₈	—	28	4	no	—
2019	Q₈	—	28	4	no	—
2020	D₄	—	2	8	no	—
2021	D₄	—	2	8	no	—
2022	D₄	—	4	4	no	—
2023	D₄	—	14	8	no	—
2024	D₄	—	14	8	no	—
2025	D₄	—	14	8	no	—
2026	D₄	—	14	8	no	—
2027	D₄	—	14	8	no	—
2028	D₄	—	14	8	no	—
2029	D₄	—	14	8	no	—
2030	D₄	—	14	8	no	—
2031	D₄	—	14	8	no	—
2032	D₄	—	14	8	no	—
2033	D₄	—	14	8	no	—
2034	D₄	—	14	8	no	—
2035	D₄	—	14	8	no	—
2036	D₄	—	14	8	no	—
2037	D₄	—	28	4	no	—
2038	D₄	—	28	4	no	—
2039	D₄	—	28	4	no	—
2040	D₄	—	28	4	no	—
2041	D₄	—	28	4	no	—
2042	D₄	—	28	4	no	—
2043	D₄	—	28	4	no	—
2044	D₄	—	28	4	no	—
2045	D₄	—	28	4	no	—
2046	D₄	—	28	4	no	—
2047	D₄	—	28	4	no	—
2048	C₂×C₄	—	2	8	no	—
2049	C₂×C₄	—	2	2	no	—
2050	C₂×C₄	—	2	2	no	—
2051	C₂×C₄	—	2	2	no	—
2052	C₂×C₄	—	2	2	no	—
2053	C₂×C₄	—	2	2	no	—
2054	C₂×C₄	—	2	8	no	—
2055	C₂×C₄	—	2	2	no	—
2056	C₂×C₄	—	2	2	no	—
2057	C₂×C₄	—	2	2	no	—
2058	C₂×C₄	—	2	2	no	—
2059	C₂×C₄	—	2	2	no	—
2060	C₂×C₄	—	2	2	no	—
2061	C₂×C₄	—	4	4	no	—
2062	C₂×C₄	—	4	4	no	—
2063	C₂×C₄	—	4	4	no	—
2064	C₂×C₄	—	7	2	no	—
2065	C₂×C₄	—	7	2	no	—
2066	C₂×C₄	—	7	2	no	—
2067	C₂×C₄	—	7	2	no	—
2068	C₂×C₄	—	7	2	no	—
2069	C₂×C₄	—	7	2	no	—
2070	C₂×C₄	—	7	2	no	—
2071	C₂×C₄	—	7	2	no	—
2072	C₂×C₄	—	7	2	no	—
2073	C₂×C₄	—	14	8	no	—
2074	C₂×C₄	—	14	8	no	—
2075	C₂×C₄	—	14	8	no	—
2076	C₂×C₄	—	14	2	no	—
2077	C₂×C₄	—	14	2	no	—
2078	C₂×C₄	—	14	2	no	—
2079	C₂×C₄	—	14	8	no	—
2080	C₂×C₄	—	14	2	no	—
2081	C₂×C₄	—	14	2	no	—
2082	C₂×C₄	—	14	2	no	—
2083	C₂×C₄	—	14	2	no	—
2084	C₂×C₄	—	14	2	no	—
2085	C₂×C₄	—	14	2	no	—
2086	C₂×C₄	—	28	4	no	—
2087	C₂×C₄	—	28	4	no	—
2088	C₂×C₄	—	28	4	no	—
2089	C₂×C₄	—	28	4	no	—
2090	C₂×C₄	—	28	4	no	—
2091	C₂×C₄	—	28	4	no	—
2092	C₂×C₄	—	28	4	no	—
2093	C₂×C₄	—	28	4	no	—
2094	C₂×C₄	—	28	4	no	—
2095	C₂×C₄	—	28	4	no	—
2096	C₂×C₄	—	28	4	no	—
2097	C₂×C₄	—	28	4	no	—
2098	C₂×C₄	—	28	4	no	—
2099	C₂×C₄	—	28	4	no	—
2100	C₂×C₄	—	28	4	no	—
2101	C₂×C₄	—	28	4	no	—
2102	C₂×C₄	—	28	4	no	—
2103	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2104	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2105	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2106	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2107	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2108	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2109	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2110	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2111	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2112	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2113	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2114	C₇	C₂×#3490	1	1	yes	characteristic, complemented, Sylow
2115	C₂²	—	2	2	no	—
2116	C₂²	—	2	2	no	—
2117	C₂²	—	2	2	no	—
2118	C₂²	—	2	2	no	—
2119	C₂²	—	2	8	no	—
2120	C₂²	—	2	8	no	—
2121	C₂²	—	2	2	no	—
2122	C₂²	—	2	2	no	—
2123	C₂²	—	2	2	no	—
2124	C₂²	—	2	2	no	—
2125	C₂²	—	2	2	no	—
2126	C₂²	—	2	2	no	—
2127	C₂²	—	4	16	no	—
2128	C₂²	—	4	4	no	—
2129	C₂²	—	4	4	no	—
2130	C₂²	—	7	4	no	—
2131	C₂²	—	7	4	no	—
2132	C₂²	—	7	4	no	—
2133	C₂²	—	14	32	no	—
2134	C₂²	—	14	2	no	—
2135	C₂²	—	14	2	no	—
2136	C₂²	—	14	2	no	—
2137	C₂²	—	14	2	no	—
2138	C₂²	—	14	2	no	—
2139	C₂²	—	14	2	no	—
2140	C₂²	—	14	8	no	—
2141	C₂²	—	14	8	no	—
2142	C₂²	—	14	8	no	—
2143	C₂²	—	14	2	no	—
2144	C₂²	—	14	2	no	—
2145	C₂²	—	14	2	no	—
2146	C₂²	—	14	2	no	—
2147	C₂²	—	14	2	no	—
2148	C₂²	—	14	2	no	—
2149	C₂²	—	14	2	no	—
2150	C₂²	—	14	2	no	—
2151	C₂²	—	14	2	no	—
2152	C₂²	—	14	2	no	—
2153	C₂²	—	14	2	no	—
2154	C₂²	—	14	2	no	—
2155	C₂²	—	28	16	no	—
2156	C₂²	—	28	16	no	—
2157	C₂²	—	28	16	no	—
2158	C₂²	—	28	16	no	—
2159	C₂²	—	28	16	no	—
2160	C₂²	—	28	4	no	—
2161	C₂²	—	28	4	no	—
2162	C₂²	—	28	4	no	—
2163	C₂²	—	28	4	no	—
2164	C₂²	—	56	8	no	—
2165	C₂²	—	56	8	no	—
2166	C₂²	C₂×D₇×#41	1	4	yes	—
2167	C₂²	C₂×D₇×#41	1	2	yes	—
2168	C₂²	C₂×#6553	1	4	yes	—
2169	C₂²	C₂×#6553	1	2	yes	—
2170	C₂²	D₇×H(5,𝔽₂)	1	2	yes	—
2171	C₂²	C₂⁵×D₇	1	1	yes	characteristic
2172	C₄	—	2	2	no	—
2173	C₄	—	2	2	no	—
2174	C₄	—	2	2	no	—
2175	C₄	—	2	2	no	—
2176	C₄	—	2	2	no	—
2177	C₄	—	2	2	no	—
2178	C₄	—	2	2	no	—
2179	C₄	—	2	2	no	—
2180	C₄	—	2	2	no	—
2181	C₄	—	2	2	no	—
2182	C₄	—	2	2	no	—
2183	C₄	—	14	2	no	—
2184	C₄	—	14	2	no	—
2185	C₄	—	14	2	no	—
2186	C₄	—	14	2	no	—
2187	C₄	—	14	2	no	—
2188	C₄	—	14	2	no	—
2189	C₄	—	14	2	no	—
2190	C₄	—	14	2	no	—
2191	C₄	—	14	2	no	—
2192	C₂	—	2	4	no	—
2193	C₂	—	2	4	no	—
2194	C₂	—	4	2	no	—
2195	C₂	—	4	2	no	—
2196	C₂	—	14	4	no	—
2197	C₂	—	14	4	no	—
2198	C₂	—	14	4	no	—
2199	C₂	—	28	2	no	—
2200	C₂	—	28	2	no	—
2201	C₂	—	28	2	no	—
2202	C₂	—	28	2	no	—
2203	C₂	#11743883	1	4	yes	direct product factor
2204	C₂	C₂²×D₇×#41	1	1	yes	characteristic
2205	C₂	C₂²×#6553	1	1	yes	characteristic
2206	C₂	C₂×D₇×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇
commutator, cosocle	C₂²×C₇	C₂⁶
Frattini	C₂²	C₂⁵×D₇
Fitting	C₂×C₇×#551	C₂
socle	C₂³×C₇	C₂⁵
hypercenter	C₂×#551	D₇
hypocenter	C₇	C₂×#3490
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ C₂×#551

Complements

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

N	H ≅ G/N	type
1. C₂×C₇×#551	C₂	semidirect
2. #11743883	C₂	direct (N × H)
3. C₂×#90396	C₂	semidirect
4. C₂×#90396	C₂	semidirect
5. C₂×#90395	C₂	semidirect
6. C₂×#90395	C₂	semidirect
7. C₂×#90367	C₂	semidirect
8. C₂×#90369	C₂	semidirect
9. C₂×#90349	C₂	semidirect
10. C₂×#90345	C₂	semidirect
11. C₂×#90345	C₂	semidirect
12. C₂×#90348	C₂	semidirect
13. C₂×#90344	C₂	semidirect
14. C₂×#90347	C₂	semidirect
15. C₂×#90328	C₂	semidirect
16. C₂×#90321	C₂	semidirect
17. C₂×#90325	C₂	semidirect
18. C₂×#90318	C₂	semidirect
19. C₂×#90282	C₂	semidirect
20. C₂×D₇×#120	C₂	semidirect
21. C₂×#90241	C₂	semidirect
22. C₂×#90245	C₂	semidirect
23. C₂×#90238	C₂	semidirect
24. C₂×#90236	C₂	semidirect
25. C₂×#90218	C₂	semidirect
26. C₂×#90218	C₂	semidirect
27. C₂×#90215	C₂	semidirect
28. C₂×#90212	C₂	semidirect
29. C₂×#90181	C₂	semidirect
30. C₂²×#6445	C₂	semidirect
31. C₂²×D₇×C₂²⋊C₄	C₂	semidirect
32. C₂×#90186	C₂	semidirect
34. C₂³×C₂²⋊D₇	C₂²	semidirect
35. C₂²×#1161	C₂²	semidirect
36. C₂²×#1159	C₂²	semidirect
38. C₂²×D₄×D₇	C₂²	semidirect
39. C₂²×D₄×D₇	C₂²	semidirect
40. C₂²×#1157	C₂²	semidirect
41. C₂²×#1157	C₂²	semidirect
43. C₂³×D₂₈	C₂²	semidirect
44. C₂³×C₄×D₇	C₂²	semidirect
45. C₂³×C₄×D₇	C₂²	semidirect
46. C₇×#551	C₂²	semidirect
47. C₂×C₇×#126	C₂²	semidirect
48. C₂×C₇×#126	C₂²	semidirect
49. C₂×C₇×#124	C₂²	semidirect
50. C₂×C₇×#123	C₂²	semidirect
51. C₂×C₇×#123	C₂²	semidirect
52. C₂×C₇×#123	C₂²	semidirect
53. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
54. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
56. C₂×C₄×C₇×D₄	C₂²	semidirect
57. C₂×C₄×C₇×D₄	C₂²	semidirect
58. C₂×C₇×#117	C₂²	semidirect
59. C₂×C₇×#117	C₂²	semidirect
60. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
61. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
63. C₂²×C₂²⋊Dic₇	C₂²	semidirect
64. C₂×#6510	C₂²	semidirect
65. C₂×#6509	C₂²	semidirect
66. C₂×#6509	C₂²	semidirect
67. C₂×#6502	C₂²	semidirect
68. C₂×#6502	C₂²	semidirect
69. C₂×#6501	C₂²	semidirect
71. C₂×#6500	C₂²	semidirect
72. C₂×#6500	C₂²	semidirect
73. C₂×#6500	C₂²	semidirect
74. C₂×D₄×Dic₇	C₂²	semidirect
75. C₂×#6493	C₂²	semidirect
76. C₂×#6493	C₂²	semidirect
77. C₂×#6492	C₂²	semidirect
78. C₂×#6492	C₂²	semidirect
79. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
80. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
81. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
83. C₂²×(C₂×D₇)⋊C₄	C₂²	semidirect
84. C₂²×(C₂×D₇)⋊C₄	C₂²	semidirect
85. C₂²×(C₂×D₇)⋊C₄	C₂²	semidirect
86. C₂²×(C₂×D₇)⋊C₄	C₂²	semidirect
87. C₂×#6489	C₂²	semidirect
88. C₂×#6487	C₂²	semidirect
89. #90396	C₂²	semidirect
90. #90396	C₂²	semidirect
91. #90395	C₂²	semidirect
92. #90395	C₂²	semidirect
93. #90369	C₂²	semidirect
94. #90367	C₂²	semidirect
95. #90349	C₂²	semidirect
96. #90348	C₂²	semidirect
97. #90347	C₂²	semidirect
98. #90345	C₂²	semidirect
99. #90345	C₂²	semidirect
100. #90344	C₂²	semidirect
101. #90328	C₂²	semidirect
102. #90325	C₂²	semidirect
103. #90321	C₂²	semidirect
104. #90318	C₂²	semidirect
105. #90282	C₂²	semidirect
106. D₇×#120	C₂²	semidirect
107. #90245	C₂²	semidirect
108. #90241	C₂²	semidirect
109. #90238	C₂²	semidirect
110. #90236	C₂²	semidirect
111. #90218	C₂²	semidirect
112. #90218	C₂²	semidirect
113. #90215	C₂²	semidirect
114. #90212	C₂²	semidirect
115. C₂×#6461	C₂²	semidirect
116. C₂×#6461	C₂²	semidirect
117. C₂×#6461	C₂²	semidirect
118. C₂×#6460	C₂²	semidirect
119. C₂×#6460	C₂²	semidirect
120. C₂×#6460	C₂²	semidirect
121. C₂×#6459	C₂²	semidirect
122. C₂×#6459	C₂²	semidirect
123. C₂×#6459	C₂²	semidirect
124. C₂×#6459	C₂²	semidirect
125. C₂×#6459	C₂²	semidirect
126. C₂×#6458	C₂²	semidirect
127. C₂×#6458	C₂²	semidirect
128. C₂×#6458	C₂²	semidirect
129. C₂×#6458	C₂²	semidirect
130. C₂×#6458	C₂²	semidirect
131. C₂×#6457	C₂²	semidirect
132. C₂×#6457	C₂²	semidirect
133. C₂×#6457	C₂²	semidirect
134. C₂×#6457	C₂²	semidirect
135. C₂×#6457	C₂²	semidirect
136. C₂×#6457	C₂²	semidirect
137. C₂×#6457	C₂²	semidirect
138. C₂×#6457	C₂²	semidirect
139. C₂×#6456	C₂²	semidirect
140. C₂×#6456	C₂²	semidirect
141. C₂×#6456	C₂²	semidirect
142. C₂×#6456	C₂²	semidirect
143. C₂×#6456	C₂²	semidirect
144. C₂×#6456	C₂²	semidirect
145. C₂×#6455	C₂²	semidirect
146. C₂×#6455	C₂²	semidirect
147. #90186	C₂²	semidirect
148. C₂×#6449	C₂²	semidirect
149. C₂×#6449	C₂²	semidirect
150. C₂×#6449	C₂²	semidirect
151. C₂×#6448	C₂²	semidirect
152. C₂×#6448	C₂²	semidirect
153. C₂×#6448	C₂²	semidirect
154. C₂×#6448	C₂²	semidirect
155. #90181	C₂²	semidirect
156. C₂×#6447	C₂²	semidirect
157. C₂×#6447	C₂²	semidirect
158. C₂×#6447	C₂²	semidirect
159. C₂×#6447	C₂²	semidirect
160. C₂×#6447	C₂²	semidirect
161. C₂×#6447	C₂²	semidirect
162. C₂×#6446	C₂²	semidirect
163. C₂×#6446	C₂²	semidirect
164. C₂×#6446	C₂²	semidirect
165. C₂×#6446	C₂²	semidirect
171. C₂×#6445	C₂²	semidirect
172. C₂×#6445	C₂²	semidirect
173. C₂×#6445	C₂²	semidirect
174. C₂×#6445	C₂²	semidirect
175. C₂×#6445	C₂²	semidirect
176. C₂×#6445	C₂²	semidirect
177. C₂×#6445	C₂²	semidirect
178. C₂×#6445	C₂²	semidirect
179. C₂×#6445	C₂²	semidirect
180. C₂×#6445	C₂²	semidirect
181. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
182. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
183. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
184. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
185. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
189. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
190. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
191. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
192. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
193. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
194. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
195. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
196. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
197. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
198. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
199. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
200. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
201. C₂×#6442	C₂²	semidirect
202. C₂×#6442	C₂²	semidirect
203. C₂×#6441	C₂²	semidirect
204. C₂×#6441	C₂²	semidirect
205. C₂×#6441	C₂²	semidirect
206. C₂×#6440	C₂²	semidirect
207. C₂×#6439	C₂²	semidirect
208. C₂×#6438	C₂²	semidirect
209. C₂×#6438	C₂²	semidirect
210. C₂×C₄×D₂₈	C₂²	semidirect
211. C₂×C₄×D₂₈	C₂²	semidirect
212. C₂×C₄×D₂₈	C₂²	semidirect
213. C₂×C₄×D₂₈	C₂²	semidirect
214. C₂×C₄×D₂₈	C₂²	semidirect
215. C₂×C₄×D₂₈	C₂²	semidirect
216. C₂×C₄×D₂₈	C₂²	semidirect
217. C₂×#6435	C₂²	semidirect
218. C₂×#6435	C₂²	semidirect
233. C₂²×C₇×Q₈	C₂³	semidirect
241. C₂³×C₄×C₇	C₂³	semidirect
253. C₂²×C₂²⋊D₇	C₂³	semidirect
254. C₂²×C₂²⋊D₇	C₂³	semidirect
255. C₂²×C₂²⋊D₇	C₂³	semidirect
259. C₂³×Dic₇	C₂³	semidirect
261. C₂×#1161	C₂³	semidirect
263. C₂×#1159	C₂³	semidirect
268. C₂×D₄×D₇	C₂³	semidirect
269. C₂×D₄×D₇	C₂³	semidirect
272. C₂×#1157	C₂³	semidirect
273. C₂×#1157	C₂³	semidirect
288. C₂²×D₂₈	C₂³	semidirect
289. C₂²×D₂₈	C₂³	semidirect
290. C₂²×D₂₈	C₂³	semidirect
304. C₂²×C₄×D₇	C₂³	semidirect
305. C₂²×C₄×D₇	C₂³	semidirect
306. C₂²×C₄×D₇	C₂³	semidirect
307. C₂²×C₄×D₇	C₂³	semidirect
308. C₂²×C₄×D₇	C₂³	semidirect
309. C₂²×C₄×D₇	C₂³	semidirect
310. C₂²×C₄×D₇	C₂³	semidirect
311. C₂²×C₄×D₇	C₂³	semidirect
312. C₂²×Dic₁₄	C₂³	semidirect
313. C₂²×Dic₁₄	C₂³	semidirect
314. C₂²×Dic₁₄	C₂³	semidirect
315. C₇×#126	C₂³	semidirect
316. C₇×#126	C₂³	semidirect
317. C₇×#124	C₂³	semidirect
318. C₇×#123	C₂³	semidirect
319. C₇×#123	C₂³	semidirect
320. C₇×#123	C₂³	semidirect
321. C₇×C₂²⋊Q₈	C₂³	semidirect
322. C₇×C₂²⋊Q₈	C₂³	semidirect
324. C₄×C₇×D₄	C₂³	semidirect
325. C₄×C₇×D₄	C₂³	semidirect
326. C₇×#117	C₂³	semidirect
327. C₇×#117	C₂³	semidirect
328. C₂×C₇×C₄⋊C₄	C₂³	semidirect
329. C₂×C₇×C₄⋊C₄	C₂³	semidirect
330. C₂×C₇×C₄⋊C₄	C₂³	semidirect
331. C₂×C₇×C₄⋊C₄	C₂³	semidirect
332. C₂×C₇×C₄⋊C₄	C₂³	semidirect
333. C₂×C₇×C₄⋊C₄	C₂³	semidirect
334. C₂×C₇×C₄⋊C₄	C₂³	semidirect
335. C₂×C₇×C₄⋊C₄	C₂³	semidirect
347. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
348. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
349. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
350. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
351. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
352. C₂×C₄²×C₇	C₂³	semidirect
353. C₂×C₄²×C₇	C₂³	semidirect
354. C₂×C₄²×C₇	C₂³	semidirect
363. C₂×C₂²⋊Dic₇	C₂³	semidirect
364. C₂×C₂²⋊Dic₇	C₂³	semidirect
365. #6510	C₂³	semidirect
366. #6509	C₂³	semidirect
367. #6509	C₂³	semidirect
368. #6502	C₂³	semidirect
369. #6502	C₂³	semidirect
370. #6501	C₂³	semidirect
372. #6500	C₂³	semidirect
373. #6500	C₂³	semidirect
374. #6500	C₂³	semidirect
375. D₄×Dic₇	C₂³	semidirect
376. #6493	C₂³	semidirect
377. #6493	C₂³	semidirect
378. #6492	C₂³	semidirect
379. #6492	C₂³	semidirect
380. C₄×C₂²⋊D₇	C₂³	semidirect
381. C₄×C₂²⋊D₇	C₂³	semidirect
382. C₄×C₂²⋊D₇	C₂³	semidirect
406. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
407. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
408. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
409. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
410. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
411. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
412. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
413. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
414. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
415. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
416. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
417. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
418. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
419. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
420. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
421. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
422. #6489	C₂³	semidirect
423. C₂×C₄⋊Dic₇	C₂³	semidirect
424. C₂×C₄⋊Dic₇	C₂³	semidirect
425. C₂×C₄⋊Dic₇	C₂³	semidirect
426. C₂×C₄⋊Dic₇	C₂³	semidirect
427. C₂×C₄⋊Dic₇	C₂³	semidirect
428. C₂×C₄⋊Dic₇	C₂³	semidirect
429. #6487	C₂³	semidirect
430. C₂×Dic₇⋊C₄	C₂³	semidirect
431. C₂×Dic₇⋊C₄	C₂³	semidirect
432. C₂×Dic₇⋊C₄	C₂³	semidirect
433. C₂×Dic₇⋊C₄	C₂³	semidirect
434. C₂×Dic₇⋊C₄	C₂³	semidirect
435. C₂×Dic₇⋊C₄	C₂³	semidirect
436. C₂×Dic₇⋊C₄	C₂³	semidirect
437. C₂×Dic₇⋊C₄	C₂³	semidirect
438. C₂×Dic₇⋊C₄	C₂³	semidirect
439. C₂×Dic₇⋊C₄	C₂³	semidirect
440. C₂×C₄×Dic₇	C₂³	semidirect
441. C₂×C₄×Dic₇	C₂³	semidirect
442. C₂×C₄×Dic₇	C₂³	semidirect
443. C₂×C₄×Dic₇	C₂³	semidirect
444. C₂×C₄×Dic₇	C₂³	semidirect
445. #6461	C₂³	semidirect
446. #6461	C₂³	semidirect
447. #6461	C₂³	semidirect
448. #6460	C₂³	semidirect
449. #6460	C₂³	semidirect
450. #6460	C₂³	semidirect
451. #6459	C₂³	semidirect
452. #6459	C₂³	semidirect
453. #6459	C₂³	semidirect
454. #6459	C₂³	semidirect
455. #6459	C₂³	semidirect
456. #6458	C₂³	semidirect
457. #6458	C₂³	semidirect
458. #6458	C₂³	semidirect
459. #6458	C₂³	semidirect
460. #6458	C₂³	semidirect
461. #6457	C₂³	semidirect
462. #6457	C₂³	semidirect
463. #6457	C₂³	semidirect
464. #6457	C₂³	semidirect
465. #6457	C₂³	semidirect
466. #6457	C₂³	semidirect
467. #6457	C₂³	semidirect
468. #6457	C₂³	semidirect
469. #6456	C₂³	semidirect
470. #6456	C₂³	semidirect
471. #6456	C₂³	semidirect
472. #6456	C₂³	semidirect
473. #6456	C₂³	semidirect
474. #6456	C₂³	semidirect
475. #6455	C₂³	semidirect
476. #6455	C₂³	semidirect
477. #6449	C₂³	semidirect
478. #6449	C₂³	semidirect
479. #6449	C₂³	semidirect
480. #6448	C₂³	semidirect
481. #6448	C₂³	semidirect
482. #6448	C₂³	semidirect
483. #6448	C₂³	semidirect
484. #6447	C₂³	semidirect
485. #6447	C₂³	semidirect
486. #6447	C₂³	semidirect
487. #6447	C₂³	semidirect
488. #6447	C₂³	semidirect
489. #6447	C₂³	semidirect
490. #6446	C₂³	semidirect
491. #6446	C₂³	semidirect
492. #6446	C₂³	semidirect
493. #6446	C₂³	semidirect
499. #6445	C₂³	semidirect
500. #6445	C₂³	semidirect
501. #6445	C₂³	semidirect
502. #6445	C₂³	semidirect
503. #6445	C₂³	semidirect
504. #6445	C₂³	semidirect
505. #6445	C₂³	semidirect
506. #6445	C₂³	semidirect
507. #6445	C₂³	semidirect
508. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
509. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
510. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
511. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
512. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
516. D₇×C₂²⋊C₄	C₂³	semidirect
517. D₇×C₂²⋊C₄	C₂³	semidirect
518. D₇×C₂²⋊C₄	C₂³	semidirect
519. D₇×C₂²⋊C₄	C₂³	semidirect
520. D₇×C₂²⋊C₄	C₂³	semidirect
521. D₇×C₂²⋊C₄	C₂³	semidirect
522. D₇×C₂²⋊C₄	C₂³	semidirect
523. D₇×C₂²⋊C₄	C₂³	semidirect
524. D₇×C₂²⋊C₄	C₂³	semidirect
525. D₇×C₂²⋊C₄	C₂³	semidirect
526. D₇×C₂²⋊C₄	C₂³	semidirect
527. #6442	C₂³	semidirect
528. #6442	C₂³	semidirect
529. #6441	C₂³	semidirect
530. #6441	C₂³	semidirect
531. #6441	C₂³	semidirect
532. #6440	C₂³	semidirect
533. #6439	C₂³	semidirect
534. #6438	C₂³	semidirect
535. #6438	C₂³	semidirect
536. C₄×D₂₈	C₂³	semidirect
537. C₄×D₂₈	C₂³	semidirect
538. C₄×D₂₈	C₂³	semidirect
539. C₄×D₂₈	C₂³	semidirect
540. C₄×D₂₈	C₂³	semidirect
541. C₄×D₂₈	C₂³	semidirect
542. C₄×D₂₈	C₂³	semidirect
543. #6435	C₂³	semidirect
544. #6435	C₂³	semidirect
553. C₂×#551	D₇	semidirect
612. C₂³×D₇	#41	semidirect
629. C₂×C₇×Q₈	C₂⁴	semidirect
656. C₂²×C₄×C₇	C₂⁴	semidirect
680. C₂×C₂²⋊D₇	C₂⁴	semidirect
681. C₂×C₂²⋊D₇	C₂⁴	semidirect
698. C₂²×Dic₇	C₂⁴	semidirect
732. C₂×D₂₈	C₂⁴	semidirect
733. C₂×D₂₈	C₂⁴	semidirect
764. C₂×C₄×D₇	C₂⁴	semidirect
765. C₂×C₄×D₇	C₂⁴	semidirect
766. C₂×C₄×D₇	C₂⁴	semidirect
767. C₂×C₄×D₇	C₂⁴	semidirect
768. C₂×C₄×D₇	C₂⁴	semidirect
769. C₂×C₄×D₇	C₂⁴	semidirect
773. C₂×Dic₁₄	C₂⁴	semidirect
774. C₂×Dic₁₄	C₂⁴	semidirect
775. C₂×Dic₁₄	C₂⁴	semidirect
776. C₇×C₄⋊C₄	C₂⁴	semidirect
777. C₇×C₄⋊C₄	C₂⁴	semidirect
778. C₇×C₄⋊C₄	C₂⁴	semidirect
779. C₇×C₄⋊C₄	C₂⁴	semidirect
780. C₇×C₄⋊C₄	C₂⁴	semidirect
781. C₇×C₄⋊C₄	C₂⁴	semidirect
782. C₇×C₄⋊C₄	C₂⁴	semidirect
783. C₇×C₄⋊C₄	C₂⁴	semidirect
795. C₇×C₂²⋊C₄	C₂⁴	semidirect
796. C₇×C₂²⋊C₄	C₂⁴	semidirect
797. C₇×C₂²⋊C₄	C₂⁴	semidirect
798. C₄²×C₇	C₂⁴	semidirect
799. C₄²×C₇	C₂⁴	semidirect
800. C₄²×C₇	C₂⁴	semidirect
808. C₂²⋊Dic₇	C₂⁴	semidirect
831. (C₂×D₇)⋊C₄	C₂⁴	semidirect
832. (C₂×D₇)⋊C₄	C₂⁴	semidirect
833. (C₂×D₇)⋊C₄	C₂⁴	semidirect
834. (C₂×D₇)⋊C₄	C₂⁴	semidirect
835. (C₂×D₇)⋊C₄	C₂⁴	semidirect
836. (C₂×D₇)⋊C₄	C₂⁴	semidirect
837. (C₂×D₇)⋊C₄	C₂⁴	semidirect
838. (C₂×D₇)⋊C₄	C₂⁴	semidirect
839. (C₂×D₇)⋊C₄	C₂⁴	semidirect
840. (C₂×D₇)⋊C₄	C₂⁴	semidirect
841. (C₂×D₇)⋊C₄	C₂⁴	semidirect
842. (C₂×D₇)⋊C₄	C₂⁴	semidirect
843. C₄⋊Dic₇	C₂⁴	semidirect
844. C₄⋊Dic₇	C₂⁴	semidirect
845. C₄⋊Dic₇	C₂⁴	semidirect
846. C₄⋊Dic₇	C₂⁴	semidirect
847. C₄⋊Dic₇	C₂⁴	semidirect
848. C₄⋊Dic₇	C₂⁴	semidirect
849. Dic₇⋊C₄	C₂⁴	semidirect
850. Dic₇⋊C₄	C₂⁴	semidirect
851. Dic₇⋊C₄	C₂⁴	semidirect
852. Dic₇⋊C₄	C₂⁴	semidirect
853. Dic₇⋊C₄	C₂⁴	semidirect
854. Dic₇⋊C₄	C₂⁴	semidirect
855. Dic₇⋊C₄	C₂⁴	semidirect
856. Dic₇⋊C₄	C₂⁴	semidirect
857. Dic₇⋊C₄	C₂⁴	semidirect
858. Dic₇⋊C₄	C₂⁴	semidirect
859. C₄×Dic₇	C₂⁴	semidirect
860. C₄×Dic₇	C₂⁴	semidirect
861. C₄×Dic₇	C₂⁴	semidirect
862. C₄×Dic₇	C₂⁴	semidirect
863. C₄×Dic₇	C₂⁴	semidirect
884. #551	C₂×D₇	semidirect
905. C₂×#126	C₂×D₇	semidirect
906. C₂×#126	C₂×D₇	semidirect
914. C₂×#124	C₂×D₇	semidirect
936. C₂×#123	C₂×D₇	semidirect
937. C₂×#123	C₂×D₇	semidirect
938. C₂×#123	C₂×D₇	semidirect
953. C₂×C₂²⋊Q₈	C₂×D₇	semidirect
954. C₂×C₂²⋊Q₈	C₂×D₇	semidirect
1017. C₂×C₄×D₄	C₂×D₇	semidirect
1018. C₂×C₄×D₄	C₂×D₇	semidirect
1025. C₂×#117	C₂×D₇	semidirect
1026. C₂×#117	C₂×D₇	semidirect
1048. C₂²×C₂²⋊C₄	C₂×D₇	semidirect
1049. C₂²×C₂²⋊C₄	C₂×D₇	semidirect
1123. C₂²×D₇	C₂×#41	semidirect
1254. C₂²×Q₈	C₂²×D₇	semidirect
1324. C₂³×C₄	C₂²×D₇	semidirect
1331. #126	C₂²×D₇	semidirect
1332. #126	C₂²×D₇	semidirect
1340. #124	C₂²×D₇	semidirect
1358. #123	C₂²×D₇	semidirect
1359. #123	C₂²×D₇	semidirect
1360. #123	C₂²×D₇	semidirect
1375. C₂²⋊Q₈	C₂²×D₇	semidirect
1376. C₂²⋊Q₈	C₂²×D₇	semidirect
1435. C₄×D₄	C₂²×D₇	semidirect
1436. C₄×D₄	C₂²×D₇	semidirect
1443. #117	C₂²×D₇	semidirect
1444. #117	C₂²×D₇	semidirect
1461. C₂×C₄⋊C₄	C₂²×D₇	semidirect
1462. C₂×C₄⋊C₄	C₂²×D₇	semidirect
1463. C₂×C₄⋊C₄	C₂²×D₇	semidirect
1464. C₂×C₄⋊C₄	C₂²×D₇	semidirect
1465. C₂×C₄⋊C₄	C₂²×D₇	semidirect
1466. C₂×C₄⋊C₄	C₂²×D₇	semidirect
1467. C₂×C₄⋊C₄	C₂²×D₇	semidirect
1468. C₂×C₄⋊C₄	C₂²×D₇	semidirect
1542. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1543. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1544. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1545. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1546. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1552. C₂×C₄²	C₂²×D₇	semidirect
1553. C₂×C₄²	C₂²×D₇	semidirect
1554. C₂×C₄²	C₂²×D₇	semidirect
1694. C₂×Q₈	C₂³×D₇	semidirect
1830. C₂²×C₄	C₂³×D₇	semidirect
1847. C₄⋊C₄	C₂³×D₇	semidirect
1848. C₄⋊C₄	C₂³×D₇	semidirect
1849. C₄⋊C₄	C₂³×D₇	semidirect
1850. C₄⋊C₄	C₂³×D₇	semidirect
1851. C₄⋊C₄	C₂³×D₇	semidirect
1852. C₄⋊C₄	C₂³×D₇	semidirect
1853. C₄⋊C₄	C₂³×D₇	semidirect
1854. C₄⋊C₄	C₂³×D₇	semidirect
1908. C₂²⋊C₄	C₂³×D₇	semidirect
1909. C₂²⋊C₄	C₂³×D₇	semidirect
1910. C₂²⋊C₄	C₂³×D₇	semidirect
1916. C₄²	C₂³×D₇	semidirect
1917. C₄²	C₂³×D₇	semidirect
1918. C₄²	C₂³×D₇	semidirect
1923. C₂×C₇	#3490	semidirect
2114. C₇	C₂×#3490	semidirect
2203. C₂	#11743883	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₇×#551	2
#11743883	2
C₂×#90396	2
C₂×#90395	2
C₂×#90367	2
C₂×#90369	2
C₂×#90349	2
C₂×#90345	2
C₂×#90348	2
C₂×#90344	2
C₂×#90347	2
C₂×#90328	2
C₂×#90321	2
C₂×#90325	2
C₂×#90318	2
C₂×#90282	2
C₂×D₇×#120	2
C₂×#90241	2
C₂×#90245	2
C₂×#90238	2
C₂×#90236	2
C₂×#90218	2
C₂×#90215	2
C₂×#90212	2
C₂×#90181	2
C₂²×#6445	2
C₂²×D₇×C₂²⋊C₄	2
C₂×#90186	2
C₂×#3490	7

Subgroups — C2×#11743883 #14261704

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11743883 #14261704