Subgroups — #14218372

Order 1792.

1996 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11742904	C₂	1	1	yes	maximal, characteristic
2	C₇×#2965	C₂	1	1	yes	maximal, characteristic, complemented
3	#11739962	C₂	1	1	yes	maximal, characteristic, complemented
4	#11737406	C₂	1	2	yes	maximal, complemented
5	#11737386	C₂	1	2	yes	maximal, complemented
6	#11736984	C₂	1	2	yes	maximal, complemented
7	#11736965	C₂	1	2	yes	maximal, complemented
8	#11736929	C₂	1	2	yes	maximal, complemented
9	#11736927	C₂	1	2	yes	maximal, complemented
10	#11736904	C₂	1	2	yes	maximal, complemented
11	#11736903	C₂	1	2	yes	maximal, complemented
12	#11736728	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736728	C₂	1	1	yes	maximal, characteristic, complemented
14	D₇×#431	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736723	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736723	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736721	C₂	1	1	yes	maximal, characteristic, complemented
18	#11735968	C₂	1	1	yes	maximal, characteristic, complemented
19	#11735968	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#6470	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×D₇×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#6464	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈×#1157	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₇×#41	C₂²	1	1	yes	characteristic
25	#90523	C₄	1	1	yes	characteristic
26	#90519	C₄	1	1	yes	characteristic
27	C₂×#6470	C₂²	1	2	yes	—
28	C₂×D₇×M₁₆	C₂²	1	2	yes	—
29	C₂×#6464	C₂²	1	2	yes	—
30	#90271	C₄	1	1	yes	characteristic
31	#90271	C₂²	1	1	yes	characteristic
32	#90269	C₄	1	1	yes	characteristic
33	#90269	C₂²	1	1	yes	characteristic
34	#90248	C₄	1	1	yes	characteristic
35	#90248	C₂²	1	1	yes	characteristic
36	#90239	C₄	1	1	yes	characteristic
37	#90239	C₂²	1	1	yes	characteristic
38	#90238	C₄	1	1	yes	characteristic
39	#90238	C₄	1	1	yes	characteristic
40	#90238	C₂²	1	1	yes	characteristic
41	#90238	C₂²	1	1	yes	characteristic
42	#90229	C₄	1	1	yes	characteristic
43	#90229	C₄	1	1	yes	characteristic
44	#90229	C₂²	1	1	yes	characteristic
45	#90229	C₂²	1	1	yes	characteristic
46	#90219	C₄	1	1	yes	characteristic
47	#90219	C₄	1	1	yes	characteristic
48	#90219	C₄	1	1	yes	characteristic
49	#90219	C₄	1	1	yes	characteristic
50	#90215	C₄	1	1	yes	characteristic
51	#90208	C₄	1	1	yes	characteristic
52	C₄×#1157	C₂²	1	1	yes	characteristic
53	C₄×#1157	C₂²	1	1	yes	characteristic
54	C₄×#1157	C₂²	1	1	yes	characteristic
55	C₄×#1157	C₂²	1	1	yes	characteristic
56	C₄×#1157	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
58	C₇×#446	C₂²	1	2	yes	complemented
59	C₇×#436	C₂²	1	2	yes	—
60	C₇×#435	C₂²	1	2	yes	—
61	C₇×#435	C₂²	1	2	yes	complemented
62	C₇×#431	C₂²	1	1	yes	characteristic
63	C₇×#431	C₂²	1	1	yes	characteristic, complemented
64	C₇×#431	C₂²	1	1	yes	characteristic, complemented
65	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic
66	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic, complemented
68	#89900	C₂²	1	2	yes	—
69	#89900	C₂²	1	2	yes	complemented
70	#89899	C₂²	1	2	yes	—
71	#89899	C₂²	1	2	yes	—
72	#89894	C₂²	1	2	yes	complemented
73	M₁₆×Dic₇	C₂²	1	2	yes	—
74	C₈×C₂²⋊D₇	C₂²	1	2	yes	—
75	C₈×C₂²⋊D₇	C₂²	1	2	yes	complemented
76	#89873	C₂²	1	2	yes	complemented
77	#89796	C₂²	1	2	yes	complemented
78	#89784	C₂²	1	2	yes	—
79	#89783	C₂²	1	2	yes	—
80	#89783	C₂²	1	2	yes	complemented
81	#89697	C₂²	1	1	yes	characteristic
82	#89697	C₂²	1	1	yes	characteristic, complemented
83	#89697	C₂²	1	1	yes	characteristic, complemented
84	C₄×#1136	C₂²	1	1	yes	characteristic
85	C₄×#1136	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
87	#89612	C₂²	1	2	yes	complemented
88	#89612	C₂²	1	2	yes	complemented
89	#89611	C₂²	1	2	yes	—
90	#89611	C₂²	1	2	yes	—
91	#89608	C₂²	1	2	yes	—
92	#89608	C₂²	1	2	yes	complemented
93	#89606	C₂²	1	2	yes	—
94	#89605	C₂²	1	2	yes	—
95	D₇×C₄⋊C₈	C₂²	1	2	yes	—
96	#89602	C₂²	1	2	yes	complemented
97	#89600	C₂²	1	2	yes	complemented
98	#89600	C₂²	1	2	yes	complemented
99	#89501	C₂²	1	2	yes	—
100	#89501	C₂²	1	2	yes	complemented
101	#89500	C₂²	1	2	yes	—
102	#89500	C₂²	1	2	yes	—
103	#89499	C₂²	1	2	yes	—
104	#89499	C₂²	1	2	yes	—
105	(C₂²⋊D₇)⋊C₈	C₂²	1	2	yes	—
106	(C₂²⋊D₇)⋊C₈	C₂²	1	2	yes	complemented
107	D₇×C₂²⋊C₈	C₂²	1	2	yes	—
108	#89492	C₂²	1	2	yes	complemented
109	#89492	C₂²	1	2	yes	complemented
110	#89490	C₂²	1	2	yes	—
111	#89480	C₂²	1	2	yes	—
112	#89480	C₂²	1	2	yes	complemented
113	#89479	C₂²	1	2	yes	—
114	#89478	C₂²	1	2	yes	—
115	#89478	C₂²	1	2	yes	complemented
116	D₇×#97	C₂²	1	2	yes	—
117	#89473	C₂²	1	2	yes	complemented
118	#89473	C₂²	1	2	yes	complemented
119	#89461	C₂²	1	2	yes	—
120	#89461	C₂²	1	2	yes	complemented
121	C₄×#1131	C₂²	1	1	yes	characteristic
122	C₄×#1131	C₂²	1	1	yes	characteristic
123	C₄×#1131	C₂²	1	1	yes	characteristic, complemented
124	C₄×#1131	C₂²	1	1	yes	characteristic, complemented
125	C₈×D₂₈	C₂²	1	2	yes	—
126	#89457	C₂²	1	1	yes	characteristic
127	#89457	C₂²	1	1	yes	characteristic
128	#89457	C₂²	1	1	yes	characteristic, complemented
129	#89457	C₂²	1	1	yes	characteristic, complemented
130	#89457	C₂²	1	1	yes	characteristic, complemented
131	#89457	C₂²	1	1	yes	characteristic, complemented
132	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
133	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
134	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
135	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
136	C₄×C₈×D₇	C₂²	1	1	yes	characteristic, complemented
137	C₄×C₈×D₇	C₂²	1	1	yes	characteristic, complemented
138	C₈×Dic₁₄	C₂²	1	2	yes	complemented
139	#60210	—	7	1	no	maximal, Sylow
140	C₂×C₇×#41	C₂×C₄	1	1	yes	characteristic
141	C₂×#1157	C₂×C₄	1	1	yes	characteristic
142	C₂×#1157	C₂×C₄	1	1	yes	characteristic
143	C₂×#1157	C₂×C₄	1	1	yes	characteristic
144	C₂×#1157	C₂³	1	1	yes	characteristic
145	C₂×#1157	C₂³	1	1	yes	characteristic
146	C₂²×C₄×D₇	C₂×C₄	1	1	yes	characteristic
147	C₂²×C₄×D₇	C₂×C₄	1	1	yes	characteristic
148	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
149	C₂×C₇×M₁₆	C₂³	1	2	yes	—
150	C₂×C₇×M₁₆	C₂³	1	2	yes	—
151	C₂²×C₇×C₈	C₂³	1	2	yes	—
152	C₄×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
153	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
154	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
155	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
156	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
157	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
158	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
159	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
160	C₇×#117	C₂×C₄	1	1	yes	characteristic
161	C₇×#117	C₂×C₄	1	1	yes	characteristic
162	C₇×#117	C₂×C₄	1	1	yes	characteristic
163	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
164	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
165	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
166	#6510	C₂×C₄	1	1	yes	characteristic
167	#6509	C₂×C₄	1	1	yes	characteristic
168	#6509	C₂×C₄	1	1	yes	characteristic
169	#6507	C₂×C₄	1	1	yes	characteristic
170	#6503	C₂×C₄	1	1	yes	characteristic
171	#6502	C₂×C₄	1	1	yes	characteristic
172	#6502	C₂×C₄	1	1	yes	characteristic
173	#6502	C₂×C₄	1	1	yes	characteristic
174	#6502	C₂×C₄	1	1	yes	characteristic
175	#6501	C₂×C₄	1	1	yes	characteristic
176	#6501	C₂×C₄	1	1	yes	characteristic
177	#6500	C₂×C₄	1	1	yes	characteristic
178	#6500	C₂×C₄	1	1	yes	characteristic
179	#6499	C₂×C₄	1	1	yes	characteristic
180	#6498	C₂×C₄	1	1	yes	characteristic
181	#6498	C₂×C₄	1	1	yes	characteristic
182	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
183	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
184	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
185	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
186	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
187	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
188	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
189	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
190	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
191	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
192	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
193	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
194	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
195	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
196	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
197	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
198	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
199	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
200	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
201	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
202	#6489	C₂×C₄	1	1	yes	characteristic
203	#6489	C₂×C₄	1	1	yes	characteristic
204	#6489	C₂×C₄	1	1	yes	characteristic
205	#6489	C₂³	1	1	yes	characteristic
206	#6489	C₂³	1	1	yes	characteristic
207	C₂×C₄×Dic₇	C₂×C₄	1	1	yes	characteristic
208	C₂×C₄×Dic₇	C₂×C₄	1	1	yes	characteristic
209	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
210	C₂×#1136	C₂³	1	2	yes	—
211	C₂×#1136	C₂³	1	2	yes	—
212	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
213	#6470	—	2	8	no	—
214	D₇×M₁₆	—	2	8	no	—
215	#6464	—	2	8	no	—
216	C₂×#1131	C₂³	1	2	yes	—
217	C₂×#1131	C₂³	1	2	yes	—
218	C₂×#1131	C₂³	1	2	yes	—
219	C₂×#1131	C₂³	1	2	yes	—
220	C₂×C₈×D₇	C₂³	1	2	yes	—
221	C₂×C₈×D₇	C₂³	1	2	yes	—
222	C₂×C₈×D₇	C₂³	1	2	yes	—
223	C₂×C₈×D₇	C₂³	1	2	yes	—
224	C₂×C₈×D₇	C₂³	1	2	yes	—
225	C₂×C₈×D₇	C₂³	1	2	yes	—
226	#6461	C₂×C₄	1	1	yes	characteristic
227	#6461	C₂×C₄	1	1	yes	characteristic
228	#6461	C₂×C₄	1	1	yes	characteristic
229	#6461	C₂×C₄	1	1	yes	characteristic
230	#6460	C₂×C₄	1	1	yes	characteristic
231	#6460	C₂×C₄	1	1	yes	characteristic
232	#6459	C₂×C₄	1	1	yes	characteristic
233	#6459	C₂×C₄	1	1	yes	characteristic
234	#6459	C₂×C₄	1	1	yes	characteristic
235	#6459	C₂×C₄	1	1	yes	characteristic
236	#6458	C₂×C₄	1	1	yes	characteristic
237	#6458	C₂×C₄	1	1	yes	characteristic
238	#6457	C₂×C₄	1	1	yes	characteristic
239	#6457	C₂×C₄	1	1	yes	characteristic
240	#6457	C₂×C₄	1	1	yes	characteristic
241	#6457	C₂×C₄	1	1	yes	characteristic
242	#6453	C₂×C₄	1	1	yes	characteristic
243	#6453	C₂×C₄	1	1	yes	characteristic
244	#6452	C₂×C₄	1	1	yes	characteristic
245	#6452	C₂×C₄	1	1	yes	characteristic
246	#6452	C₂×C₄	1	1	yes	characteristic
247	#6452	C₂×C₄	1	1	yes	characteristic
248	#6451	C₂×C₄	1	1	yes	characteristic
249	#6451	C₂×C₄	1	1	yes	characteristic
250	#6449	C₂×C₄	1	1	yes	characteristic
251	#6449	C₂×C₄	1	1	yes	characteristic
252	#6448	C₂×C₄	1	1	yes	characteristic
253	#6448	C₂×C₄	1	1	yes	characteristic
254	#6448	C₂×C₄	1	1	yes	characteristic
255	#6448	C₂×C₄	1	1	yes	characteristic
256	#6447	C₂×C₄	1	1	yes	characteristic
257	#6447	C₂×C₄	1	1	yes	characteristic
258	#6447	C₂×C₄	1	1	yes	characteristic
259	#6447	C₂×C₄	1	1	yes	characteristic
260	#6446	C₂×C₄	1	1	yes	characteristic
261	#6446	C₂×C₄	1	1	yes	characteristic
262	#6446	C₂×C₄	1	1	yes	characteristic
263	#6446	C₂×C₄	1	1	yes	characteristic
264	#6445	C₂×C₄	1	1	yes	characteristic
265	#6445	C₂×C₄	1	1	yes	characteristic
266	#6442	C₂×C₄	1	1	yes	characteristic
267	#6442	C₂×C₄	1	1	yes	characteristic
268	#6442	C₂×C₄	1	1	yes	characteristic
269	#6442	C₂×C₄	1	1	yes	characteristic
270	#6441	C₂×C₄	1	1	yes	characteristic
271	#6441	C₂×C₄	1	1	yes	characteristic
272	#6441	C₂×C₄	1	1	yes	characteristic
273	#6441	C₂×C₄	1	1	yes	characteristic
274	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
275	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
276	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
277	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
278	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
279	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
280	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
281	C₄×D₂₈	C₂³	1	1	yes	characteristic
282	C₄×D₂₈	C₂³	1	1	yes	characteristic
283	C₄×D₂₈	C₂³	1	1	yes	characteristic
284	#6435	C₂×C₄	1	1	yes	characteristic
285	#6435	C₂×C₄	1	1	yes	characteristic
286	#6435	C₂×C₄	1	1	yes	characteristic
287	#6435	C₂×C₄	1	1	yes	characteristic
288	#6435	C₂×C₄	1	1	yes	characteristic
289	#6435	C₂×C₄	1	1	yes	characteristic
290	#6435	C₂³	1	1	yes	characteristic
291	#6435	C₂³	1	1	yes	characteristic
292	#6435	C₂³	1	1	yes	characteristic
293	#6435	C₂³	1	1	yes	characteristic
294	C₄²×D₇	C₂×C₄	1	1	yes	characteristic
295	C₄²×D₇	C₂×C₄	1	1	yes	characteristic
296	C₄²×D₇	C₂×C₄	1	1	yes	characteristic
297	C₄²×D₇	C₂×C₄	1	1	yes	characteristic
298	C₄²×D₇	C₂³	1	1	yes	characteristic
299	C₄²×D₇	C₂³	1	1	yes	characteristic
300	C₄²×D₇	C₂³	1	1	yes	characteristic
301	C₄²×D₇	C₂³	1	1	yes	characteristic
302	C₄²×D₇	C₂³	1	1	yes	characteristic
303	C₄²×D₇	C₂³	1	1	yes	characteristic
304	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
305	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
306	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
307	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
308	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
309	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
310	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
311	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
312	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
313	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
314	C₇×C₄⋊C₈	C₂³	1	2	yes	—
315	C₇×C₄⋊C₈	C₂³	1	2	yes	—
316	C₇×C₄⋊C₈	C₂³	1	2	yes	—
317	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
318	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
319	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
320	C₇×#97	C₂³	1	2	yes	—
321	C₇×#97	C₂³	1	2	yes	—
322	C₄×C₇×C₈	C₂³	1	2	yes	—
323	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
324	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
325	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
326	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
327	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
328	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
329	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
330	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
331	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
332	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
333	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
334	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
335	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
336	#6389	C₂³	1	2	yes	—
337	#6389	C₂³	1	2	yes	—
338	#6389	C₂³	1	2	yes	—
339	#6389	C₂³	1	2	yes	—
340	Dic₇⋊C₈	C₂³	1	2	yes	—
341	Dic₇⋊C₈	C₂³	1	2	yes	—
342	Dic₇⋊C₈	C₂³	1	2	yes	—
343	Dic₇⋊C₈	C₂³	1	2	yes	—
344	Dic₇⋊C₈	C₂³	1	2	yes	—
345	Dic₇⋊C₈	C₂³	1	2	yes	—
346	C₈×Dic₇	C₂³	1	2	yes	—
347	C₈×Dic₇	C₂³	1	2	yes	—
348	C₈×Dic₇	C₂³	1	2	yes	—
349	C₈×Dic₇	C₂³	1	2	yes	—
350	C₈×Dic₇	C₂³	1	2	yes	—
351	C₈×Dic₇	C₂³	1	2	yes	—
352	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
353	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
354	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
355	#6377	C₂³	1	2	yes	—
356	#6377	C₂³	1	2	yes	—
357	C₄×C₇⋊C₈	C₂³	1	2	yes	—
358	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
359	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
360	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
361	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
362	#3444	—	7	1	no	—
363	#2969	—	7	2	no	—
364	#2969	—	7	2	no	—
365	#2968	—	7	2	no	—
366	#2968	—	7	2	no	—
367	#2965	—	7	1	no	—
368	#2965	—	7	1	no	—
369	#2965	—	7	1	no	—
370	#2965	—	7	1	no	—
371	#2965	—	7	1	no	—
372	#2965	D₇	1	1	yes	characteristic, complemented
373	C₈×#41	—	7	1	no	—
374	C₈×#41	—	7	1	no	—
375	#2962	—	7	2	no	—
376	#2935	—	7	2	no	—
377	#2933	—	7	2	no	—
378	#2933	—	7	2	no	—
379	#2922	—	7	1	no	—
380	#2922	—	7	1	no	—
381	C₂×#431	—	7	1	no	—
382	C₄×#131	—	7	1	no	—
383	C₄×#131	—	7	1	no	—
384	C₂×C₄×M₁₆	—	7	1	no	—
385	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
386	C₇×#41	—	4	2	no	—
387	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
388	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
389	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
390	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
391	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
392	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
393	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
394	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
395	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
396	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
397	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
401	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
402	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
403	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
404	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
405	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
406	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
408	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
410	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
411	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
412	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
413	#1157	—	2	4	no	—
414	#1157	—	2	4	no	—
415	#1157	—	2	4	no	—
416	#1157	—	2	4	no	—
417	#1157	—	4	2	no	—
418	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
419	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
420	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
421	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
422	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
423	C₂×C₄×D₇	—	2	4	no	—
424	C₂×C₄×D₇	—	2	4	no	—
425	C₂×C₄×D₇	—	4	2	no	—
426	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
427	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
428	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
429	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
430	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
431	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
432	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
433	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
434	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
435	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
436	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
437	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
438	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
439	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
440	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
441	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
442	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
443	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
444	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
445	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
446	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
447	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
448	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
449	C₇×M₁₆	—	2	4	no	—
450	C₇×M₁₆	—	2	4	no	—
451	C₂×C₇×C₈	—	2	4	no	—
452	C₂×C₇×C₈	C₂⁴	1	2	yes	—
453	C₂×C₇×C₈	C₂⁴	1	2	yes	—
454	C₂×C₇×C₈	C₂⁴	1	2	yes	—
455	C₂×C₇×C₈	C₂⁴	1	2	yes	—
456	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
457	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
458	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
459	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
460	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
461	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
462	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
463	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
464	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
465	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
466	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
467	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
468	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
469	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
470	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
471	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
472	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
473	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
474	C₄²×C₇	C₂⁴	1	1	yes	characteristic
475	C₄²×C₇	C₂⁴	1	1	yes	characteristic
476	C₄²×C₇	C₂⁴	1	1	yes	characteristic
477	C₄²×C₇	C₂⁴	1	1	yes	characteristic
478	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
479	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
480	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
481	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
482	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
483	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
484	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
485	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
486	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
487	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
488	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
489	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
490	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
491	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
492	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
493	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
494	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
495	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
496	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
497	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
498	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
499	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
500	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
501	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
502	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
503	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
504	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
505	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
506	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
507	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
508	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
509	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
510	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
511	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
512	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
513	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
514	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
515	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
516	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
517	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
518	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
519	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
520	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
521	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
522	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
523	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
524	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
525	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
526	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
527	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
528	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
529	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
530	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
531	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
532	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
533	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
534	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
535	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
536	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
537	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
538	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
539	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
540	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
541	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
542	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
543	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
544	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
545	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
546	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
547	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
548	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
549	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
550	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
551	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
552	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
553	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
554	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
555	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
556	#1136	—	2	4	no	—
557	#1136	—	2	4	no	—
558	C₂×C₇⋊C₈	—	2	4	no	—
559	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
560	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
561	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
562	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
563	#1131	—	2	4	no	—
564	#1131	—	2	4	no	—
565	#1131	—	2	4	no	—
566	#1131	#41	1	8	yes	complemented
567	C₈×D₇	—	2	4	no	—
568	C₈×D₇	—	2	4	no	—
569	C₈×D₇	—	2	4	no	—
570	C₈×D₇	—	2	4	no	—
571	C₈×D₇	—	2	4	no	—
572	C₈×D₇	—	2	4	no	—
573	C₂×#131	—	7	2	no	—
574	C₂×#131	—	7	2	no	—
575	C₂²×M₁₆	—	7	2	no	—
576	#533	—	7	1	no	—
577	#533	—	7	1	no	—
578	#533	—	7	1	no	—
579	#532	—	7	1	no	—
580	#532	—	7	1	no	—
581	#532	—	7	1	no	—
582	#529	—	7	1	no	—
583	#529	—	7	1	no	—
584	#529	—	7	1	no	—
585	#529	—	7	1	no	—
586	#529	—	7	1	no	—
587	#529	—	7	1	no	—
588	#529	—	7	1	no	—
589	#529	—	7	1	no	—
590	#529	—	7	1	no	—
591	#529	—	7	1	no	—
592	#529	—	7	1	no	—
593	#529	—	7	1	no	—
594	#525	—	7	1	no	—
595	#525	—	7	1	no	—
596	#525	—	7	1	no	—
597	#525	—	7	1	no	—
598	#525	—	7	1	no	—
599	#525	—	7	1	no	—
600	C₄×#41	—	7	1	no	—
601	C₄×#41	—	7	1	no	—
602	C₄×#41	—	7	1	no	—
603	C₄×#41	—	7	1	no	—
604	C₄×#41	—	7	1	no	—
605	C₄×#41	C₂×D₇	1	1	yes	characteristic
606	C₂²×C₄²	—	7	1	no	—
607	#446	—	7	2	no	—
608	#446	—	7	2	no	—
609	#446	—	7	2	no	—
610	#446	—	7	2	no	—
611	#446	—	7	2	no	—
612	#446	C₂×D₇	1	2	yes	complemented
613	C₈×Q₈	—	7	2	no	—
614	C₈×Q₈	—	7	2	no	—
615	#436	—	7	2	no	—
616	#436	—	7	2	no	—
617	#436	—	7	2	no	—
618	#436	—	7	2	no	—
619	#436	—	7	2	no	—
620	#436	C₂×D₇	1	2	yes	—
621	#435	—	7	2	no	—
622	#435	—	7	2	no	—
623	#435	—	7	2	no	—
624	#435	—	7	2	no	—
625	#435	—	7	2	no	—
626	#435	—	7	2	no	—
627	#435	—	7	2	no	—
628	#435	—	7	2	no	—
629	#435	—	7	2	no	—
630	#435	—	7	2	no	—
631	#435	C₂×D₇	1	2	yes	—
632	#435	C₂×D₇	1	2	yes	complemented
633	C₈×D₄	—	7	2	no	—
634	C₈×D₄	—	7	2	no	—
635	C₈×D₄	—	7	2	no	—
636	C₈×D₄	—	7	2	no	—
637	C₈×D₄	—	7	2	no	—
638	C₈×D₄	—	7	2	no	—
639	#433	—	7	2	no	—
640	#433	—	7	2	no	—
641	#433	—	7	2	no	—
642	#433	—	7	2	no	—
643	#431	—	7	1	no	—
644	#431	—	7	1	no	—
645	#431	—	7	1	no	—
646	#431	—	7	2	no	—
647	#431	—	7	2	no	—
648	#431	—	7	1	no	—
649	#431	—	7	1	no	—
650	#431	—	7	1	no	—
651	#431	—	7	1	no	—
652	#431	—	7	1	no	—
653	#431	—	7	1	no	—
654	#431	C₂×D₇	1	1	yes	characteristic
655	#431	C₂×D₇	1	1	yes	characteristic, complemented
656	#431	C₂×D₇	1	1	yes	characteristic, complemented
657	#424	—	7	2	no	—
658	#424	—	7	2	no	—
659	C₂×C₄⋊C₈	—	7	2	no	—
660	#408	—	7	2	no	—
661	#408	—	7	2	no	—
662	C₂×C₂²⋊C₈	—	7	2	no	—
663	#405	—	7	2	no	—
664	#405	—	7	2	no	—
665	#405	—	7	2	no	—
666	#405	—	7	2	no	—
667	#405	—	7	2	no	—
668	#405	—	7	2	no	—
669	C₄×M₁₆	—	7	2	no	—
670	C₄×M₁₆	—	7	1	no	—
671	C₄×M₁₆	—	7	1	no	—
672	C₄×M₁₆	—	7	2	no	—
673	C₄×M₁₆	—	7	1	no	—
674	C₄×M₁₆	—	7	1	no	—
675	C₄×M₁₆	—	7	1	no	—
676	C₄×M₁₆	—	7	1	no	—
677	C₄×M₁₆	C₂×D₇	1	1	yes	characteristic
678	C₄×M₁₆	C₂×D₇	1	1	yes	characteristic, complemented
679	C₂×#97	—	7	2	no	—
680	C₂×C₄×C₈	—	7	1	no	—
681	C₂×C₄×C₈	—	7	1	no	—
682	C₂×C₄×C₈	—	7	1	no	—
683	C₂×C₄×C₈	—	7	1	no	—
684	C₂×C₄×C₈	—	7	1	no	—
685	C₂×C₄×C₈	—	7	1	no	—
686	C₂×C₄×C₈	—	7	1	no	—
687	C₂×C₄×C₈	C₂×D₇	1	1	yes	characteristic, complemented
688	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
689	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
690	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
691	C₂²×D₇	—	2	2	no	—
692	C₂²×D₇	—	2	2	no	—
693	C₂²×D₇	—	4	1	no	—
694	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
695	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
696	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
697	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
698	C₇×Q₈	—	4	1	no	—
699	C₇×D₄	—	4	1	no	—
700	C₇×D₄	—	4	1	no	—
701	C₇×D₄	—	4	1	no	—
702	C₂×C₄×C₇	—	2	2	no	—
703	C₂×C₄×C₇	—	2	2	no	—
704	C₂×C₄×C₇	—	2	2	no	—
705	C₂×C₄×C₇	—	2	2	no	—
706	C₂×C₄×C₇	—	2	2	no	—
707	C₂×C₄×C₇	—	2	2	no	—
708	C₂×C₄×C₇	—	2	2	no	—
709	C₂×C₄×C₇	—	2	2	no	—
710	C₂×C₄×C₇	—	2	2	no	—
711	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
712	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
713	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
714	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
715	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
716	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
717	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
718	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
720	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
721	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
722	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
723	C₂²⋊D₇	—	2	2	no	—
724	C₂²⋊D₇	—	2	2	no	—
725	C₂²⋊D₇	—	2	2	no	—
726	C₂²⋊D₇	—	2	2	no	—
727	C₂²⋊D₇	—	2	2	no	—
728	C₂²⋊D₇	—	2	2	no	—
729	C₂²⋊D₇	—	2	2	no	—
730	C₂²⋊D₇	—	2	2	no	—
731	C₂²⋊D₇	—	4	1	no	—
732	C₂²⋊D₇	—	4	1	no	—
733	C₂×Dic₇	—	2	2	no	—
734	C₂×Dic₇	—	2	2	no	—
735	C₂×Dic₇	—	4	1	no	—
736	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
737	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
738	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
739	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
740	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
741	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
742	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
743	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
744	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
745	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
746	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
747	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
748	D₂₈	—	2	2	no	—
749	D₂₈	—	2	2	no	—
750	D₂₈	—	2	2	no	—
751	D₂₈	—	2	2	no	—
752	D₂₈	—	4	1	no	—
753	C₄×D₇	—	2	2	no	—
754	C₄×D₇	—	2	2	no	—
755	C₄×D₇	—	2	2	no	—
756	C₄×D₇	—	2	2	no	—
757	C₄×D₇	—	2	2	no	—
758	C₄×D₇	—	2	2	no	—
759	C₄×D₇	—	2	2	no	—
760	C₄×D₇	—	2	2	no	—
761	C₄×D₇	—	2	2	no	—
762	C₄×D₇	—	2	2	no	—
763	C₄×D₇	—	2	2	no	—
764	C₄×D₇	—	2	2	no	—
765	C₄×D₇	—	2	2	no	—
766	C₄×D₇	—	2	2	no	—
767	C₄×D₇	—	4	1	no	—
768	C₄×D₇	—	4	1	no	—
769	C₄×D₇	#131	1	4	yes	complemented
770	C₄×D₇	C₂×#41	1	4	yes	—
771	Dic₁₄	—	2	2	no	—
772	Dic₁₄	—	2	2	no	—
773	Dic₁₄	—	2	2	no	—
774	Dic₁₄	—	2	2	no	—
775	Dic₁₄	—	4	1	no	—
776	C₇×C₈	—	2	2	no	—
777	C₇×C₈	—	2	2	no	—
778	C₇×C₈	—	2	2	no	—
779	C₇×C₈	C₂×#41	1	4	yes	—
780	C₇⋊C₈	—	2	2	no	—
781	C₇⋊C₈	—	2	2	no	—
782	C₇⋊C₈	—	2	2	no	—
783	C₇⋊C₈	C₂×#41	1	4	yes	—
784	C₂×#41	—	7	1	no	—
785	C₂×#41	—	7	1	no	—
786	C₂×#41	—	7	1	no	—
787	C₂×#41	—	7	1	no	—
788	C₂×#41	—	7	1	no	—
789	C₂×#41	C₄×D₇	1	1	yes	characteristic
790	C₂³×C₄	—	7	1	no	—
791	C₂³×C₄	—	7	1	no	—
792	C₂³×C₄	—	7	1	no	—
793	#131	—	14	8	no	—
794	#131	—	14	8	no	—
795	C₂×M₁₆	—	7	2	no	—
796	C₂×M₁₆	—	7	2	no	—
797	C₂×M₁₆	—	7	2	no	—
798	C₂×M₁₆	—	7	2	no	—
799	C₂×M₁₆	—	7	2	no	—
800	C₂×M₁₆	—	7	2	no	—
801	C₂×M₁₆	—	14	8	no	—
802	C₂×M₁₆	C₂²×D₇	1	2	yes	—
803	C₂×M₁₆	C₂²×D₇	1	2	yes	—
804	C₂²×C₈	—	7	2	no	—
805	C₂²×C₈	—	7	2	no	—
806	C₂²×C₈	—	7	2	no	—
807	C₂²×C₈	—	7	2	no	—
808	C₂²×C₈	—	7	2	no	—
809	C₂²×C₈	—	7	2	no	—
810	C₂²×C₈	—	7	2	no	—
811	C₂²×C₈	C₂²×D₇	1	2	yes	—
812	C₄⋊Q₈	—	7	1	no	—
813	C₄⋊Q₈	—	7	1	no	—
814	C₄⋊Q₈	—	7	1	no	—
815	#127	—	7	1	no	—
816	#126	—	7	1	no	—
817	#126	—	7	1	no	—
818	#126	—	7	1	no	—
819	#126	—	7	1	no	—
820	#126	—	7	1	no	—
821	#126	—	7	1	no	—
822	#126	—	7	1	no	—
823	#126	—	7	1	no	—
824	#125	—	7	1	no	—
825	#125	—	7	1	no	—
826	#125	—	7	1	no	—
827	#125	—	7	1	no	—
828	#125	—	7	1	no	—
829	#125	—	7	1	no	—
830	#124	—	7	1	no	—
831	#124	—	7	1	no	—
832	#124	—	7	1	no	—
833	#124	—	7	1	no	—
834	#124	—	7	1	no	—
835	#124	—	7	1	no	—
836	#123	—	7	1	no	—
837	#123	—	7	1	no	—
838	#123	—	7	1	no	—
839	#123	—	7	1	no	—
840	#123	—	7	1	no	—
841	#123	—	7	1	no	—
842	#123	—	7	1	no	—
843	#123	—	7	1	no	—
844	#123	—	7	1	no	—
845	#123	—	7	1	no	—
846	#123	—	7	1	no	—
847	#123	—	7	1	no	—
848	C₂²⋊Q₈	—	7	1	no	—
849	C₂²⋊Q₈	—	7	1	no	—
850	C₂²⋊Q₈	—	7	1	no	—
851	C₂²⋊Q₈	—	7	1	no	—
852	C₂²⋊Q₈	—	7	1	no	—
853	C₂²⋊Q₈	—	7	1	no	—
854	C₂²⋊Q₈	—	7	1	no	—
855	C₂²⋊Q₈	—	7	1	no	—
856	C₂²⋊Q₈	—	7	1	no	—
857	C₂²⋊Q₈	—	7	1	no	—
858	C₂²⋊Q₈	—	7	1	no	—
859	C₂²⋊Q₈	—	7	1	no	—
860	#121	—	7	1	no	—
861	#121	—	7	1	no	—
862	#121	—	7	1	no	—
863	#121	—	7	1	no	—
864	#121	—	7	1	no	—
865	#121	—	7	1	no	—
866	#121	—	7	1	no	—
867	#121	—	7	1	no	—
868	#121	—	7	1	no	—
869	#121	—	7	1	no	—
870	#121	—	7	1	no	—
871	#121	—	7	1	no	—
872	#120	—	7	1	no	—
873	#120	—	7	1	no	—
874	#120	—	7	1	no	—
875	#120	—	7	1	no	—
876	C₄×Q₈	—	7	1	no	—
877	C₄×Q₈	—	7	1	no	—
878	C₄×Q₈	—	7	1	no	—
879	C₄×Q₈	—	7	1	no	—
880	C₄×Q₈	—	7	1	no	—
881	C₄×Q₈	—	7	1	no	—
882	C₄×Q₈	—	7	1	no	—
883	C₄×Q₈	—	7	1	no	—
884	C₄×Q₈	—	7	1	no	—
885	C₄×Q₈	—	7	1	no	—
886	C₄×Q₈	C₄×D₇	1	1	yes	characteristic
887	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
888	C₄×D₄	—	7	1	no	—
889	C₄×D₄	—	7	1	no	—
890	C₄×D₄	—	7	1	no	—
891	C₄×D₄	—	7	1	no	—
892	C₄×D₄	—	7	1	no	—
893	C₄×D₄	—	7	1	no	—
894	C₄×D₄	—	7	1	no	—
895	C₄×D₄	—	7	1	no	—
896	C₄×D₄	—	7	1	no	—
897	C₄×D₄	—	7	1	no	—
898	C₄×D₄	—	7	1	no	—
899	C₄×D₄	—	7	1	no	—
900	C₄×D₄	—	7	1	no	—
901	C₄×D₄	—	7	1	no	—
902	C₄×D₄	—	7	1	no	—
903	C₄×D₄	—	7	1	no	—
904	C₄×D₄	—	7	1	no	—
905	C₄×D₄	—	7	1	no	—
906	C₄×D₄	—	7	1	no	—
907	C₄×D₄	—	7	1	no	—
908	C₄×D₄	—	7	1	no	—
909	C₄×D₄	—	7	1	no	—
910	C₄×D₄	—	7	1	no	—
911	C₄×D₄	—	7	1	no	—
912	C₄×D₄	—	7	1	no	—
913	C₄×D₄	—	7	1	no	—
914	C₄×D₄	—	7	1	no	—
915	C₄×D₄	—	7	1	no	—
916	C₄×D₄	—	7	1	no	—
917	C₄×D₄	—	7	1	no	—
918	C₄×D₄	C₄×D₇	1	1	yes	characteristic
919	C₄×D₄	C₄×D₇	1	1	yes	characteristic
920	C₄×D₄	C₄×D₇	1	1	yes	characteristic
921	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
922	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
923	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
924	#117	—	7	1	no	—
925	#117	—	7	1	no	—
926	#117	—	7	1	no	—
927	#117	—	7	1	no	—
928	#117	—	7	1	no	—
929	#117	—	7	1	no	—
930	#117	—	7	1	no	—
931	#117	—	7	1	no	—
932	#117	—	7	1	no	—
933	#117	—	7	1	no	—
934	#117	—	7	1	no	—
935	#117	—	7	1	no	—
936	#117	—	7	1	no	—
937	#117	—	7	1	no	—
938	#117	—	7	1	no	—
939	#117	C₄×D₇	1	1	yes	characteristic
940	#117	C₄×D₇	1	1	yes	characteristic
941	#117	C₄×D₇	1	1	yes	characteristic
942	C₂×C₄²	—	7	1	no	—
943	C₂×C₄²	—	7	1	no	—
944	C₂×C₄²	—	7	1	no	—
945	C₂×C₄²	—	7	1	no	—
946	C₂×C₄²	—	7	1	no	—
947	C₂×C₄²	—	7	1	no	—
948	C₂×C₄²	—	7	1	no	—
949	C₂×C₄²	—	7	1	no	—
950	C₂×C₄²	—	7	1	no	—
951	C₂×C₄²	—	7	1	no	—
952	C₂×C₄²	—	7	1	no	—
953	C₂×C₄²	—	7	1	no	—
954	C₂×C₄²	—	7	1	no	—
955	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
956	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
958	C₄⋊C₈	—	7	2	no	—
959	C₄⋊C₈	—	7	2	no	—
960	C₄⋊C₈	—	7	2	no	—
961	C₄⋊C₈	—	7	2	no	—
962	C₄⋊C₈	—	7	2	no	—
963	C₄⋊C₈	—	7	2	no	—
964	C₄⋊C₈	—	7	2	no	—
965	C₄⋊C₈	—	7	2	no	—
966	C₄⋊C₈	—	7	2	no	—
967	C₄⋊C₈	C₂²×D₇	1	2	yes	—
968	C₄⋊C₈	C₂²×D₇	1	2	yes	—
969	C₄⋊C₈	C₂²×D₇	1	2	yes	—
970	C₂²⋊C₈	—	7	2	no	—
971	C₂²⋊C₈	—	7	2	no	—
972	C₂²⋊C₈	—	7	2	no	—
973	C₂²⋊C₈	—	7	2	no	—
974	C₂²⋊C₈	—	7	2	no	—
975	C₂²⋊C₈	—	7	2	no	—
976	C₂²⋊C₈	—	7	2	no	—
977	C₂²⋊C₈	—	7	2	no	—
978	C₂²⋊C₈	—	7	2	no	—
979	C₂²⋊C₈	C₂²×D₇	1	2	yes	—
980	C₂²⋊C₈	C₂²×D₇	1	2	yes	—
981	C₂²⋊C₈	C₂²×D₇	1	2	yes	—
982	#97	—	7	2	no	—
983	#97	—	7	2	no	—
984	#97	—	7	2	no	—
985	#97	—	7	2	no	—
986	#97	—	7	2	no	—
987	#97	—	7	2	no	—
988	#97	C₂²×D₇	1	2	yes	—
989	#97	C₂²×D₇	1	2	yes	—
990	C₄×C₈	—	7	2	no	—
991	C₄×C₈	—	7	2	no	—
992	C₄×C₈	—	7	2	no	—
993	C₄×C₈	—	7	2	no	—
994	C₄×C₈	—	7	2	no	—
995	C₄×C₈	—	7	2	no	—
996	C₄×C₈	—	7	2	no	—
997	C₄×C₈	—	7	1	no	—
998	C₄×C₈	—	7	1	no	—
999	C₄×C₈	—	7	1	no	—
1000	C₄×C₈	—	7	1	no	—
1001	C₄×C₈	C₂²×D₇	1	2	yes	—
1002	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1003	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1004	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1005	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1006	C₂²×C₇	—	2	1	no	—
1007	C₂²×C₇	—	2	1	no	—
1008	C₂²×C₇	—	2	1	no	—
1009	C₂²×C₇	—	2	1	no	—
1010	C₂²×C₇	—	2	1	no	—
1011	C₂²×C₇	—	2	1	no	—
1012	C₂²×C₇	—	2	1	no	—
1013	C₂²×C₇	—	2	1	no	—
1014	C₂²×C₇	—	2	1	no	—
1015	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1016	C₂×D₇	—	2	1	no	—
1017	C₂×D₇	—	2	1	no	—
1018	C₂×D₇	—	2	1	no	—
1019	C₂×D₇	—	2	1	no	—
1020	C₂×D₇	—	2	1	no	—
1021	C₂×D₇	—	2	1	no	—
1022	C₂×D₇	—	2	1	no	—
1023	C₂×D₇	—	2	1	no	—
1024	C₂×D₇	—	2	1	no	—
1025	C₂×D₇	—	2	1	no	—
1026	C₂×D₇	—	4	4	no	—
1027	C₂×D₇	C₄×#41	1	2	yes	—
1028	C₂×D₇	C₂×#131	1	2	yes	—
1029	C₄×C₇	—	2	1	no	—
1030	C₄×C₇	—	2	1	no	—
1031	C₄×C₇	—	2	1	no	—
1032	C₄×C₇	—	2	1	no	—
1033	C₄×C₇	—	2	1	no	—
1034	C₄×C₇	—	2	1	no	—
1035	C₄×C₇	—	2	1	no	—
1036	C₄×C₇	—	2	1	no	—
1037	C₄×C₇	—	2	1	no	—
1038	C₄×C₇	C₂×#131	1	2	yes	—
1039	C₄×C₇	#568	1	2	yes	—
1040	C₄×C₇	C₂²×#41	1	2	yes	—
1041	Dic₇	—	2	1	no	—
1042	Dic₇	—	2	1	no	—
1043	Dic₇	—	2	1	no	—
1044	Dic₇	—	2	1	no	—
1045	Dic₇	—	2	1	no	—
1046	Dic₇	—	2	1	no	—
1047	Dic₇	—	2	1	no	—
1048	Dic₇	—	2	1	no	—
1049	Dic₇	—	2	1	no	—
1050	Dic₇	—	2	1	no	—
1051	Dic₇	C₄×#41	1	2	yes	—
1052	Dic₇	C₂×#131	1	2	yes	—
1053	C₂⁴	—	7	1	no	—
1054	#41	—	4	2	no	—
1055	#41	—	14	4	no	—
1056	#41	—	14	4	no	—
1057	#41	—	14	4	no	—
1058	#41	—	14	4	no	—
1059	#41	—	28	2	no	—
1060	C₂×Q₈	—	7	1	no	—
1061	C₂×Q₈	—	7	1	no	—
1062	C₂×Q₈	—	7	1	no	—
1063	C₂×Q₈	—	7	1	no	—
1064	C₂×Q₈	—	7	1	no	—
1065	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1066	C₂×D₄	—	7	1	no	—
1067	C₂×D₄	—	7	1	no	—
1068	C₂×D₄	—	7	1	no	—
1069	C₂×D₄	—	7	1	no	—
1070	C₂×D₄	—	7	1	no	—
1071	C₂×D₄	—	7	1	no	—
1072	C₂×D₄	—	7	1	no	—
1073	C₂×D₄	—	7	1	no	—
1074	C₂×D₄	—	7	1	no	—
1075	C₂×D₄	—	7	1	no	—
1076	C₂×D₄	—	7	1	no	—
1077	C₂×D₄	—	7	1	no	—
1078	C₂×D₄	—	7	1	no	—
1079	C₂×D₄	—	7	1	no	—
1080	C₂×D₄	—	7	1	no	—
1081	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1082	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1083	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1084	C₂²×C₄	—	7	1	no	—
1085	C₂²×C₄	—	7	1	no	—
1086	C₂²×C₄	—	7	1	no	—
1087	C₂²×C₄	—	7	1	no	—
1088	C₂²×C₄	—	7	1	no	—
1089	C₂²×C₄	—	7	1	no	—
1090	C₂²×C₄	—	7	1	no	—
1091	C₂²×C₄	—	7	1	no	—
1092	C₂²×C₄	—	7	1	no	—
1093	C₂²×C₄	—	7	1	no	—
1094	C₂²×C₄	—	7	1	no	—
1095	C₂²×C₄	—	7	1	no	—
1096	C₂²×C₄	—	7	1	no	—
1097	C₂²×C₄	—	7	1	no	—
1098	C₂²×C₄	—	7	1	no	—
1099	C₂²×C₄	—	7	1	no	—
1100	C₂²×C₄	—	7	1	no	—
1101	C₂²×C₄	—	7	1	no	—
1102	C₂²×C₄	—	7	1	no	—
1103	C₂²×C₄	—	7	1	no	—
1104	C₂²×C₄	—	7	1	no	—
1105	C₂²×C₄	—	14	4	no	—
1106	C₂²×C₄	—	14	4	no	—
1107	C₂²×C₄	—	28	2	no	—
1108	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1109	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1110	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1111	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1112	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1113	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1117	M₁₆	—	2	4	no	—
1118	M₁₆	—	2	4	no	—
1119	M₁₆	—	7	8	no	—
1120	M₁₆	—	14	4	no	—
1121	M₁₆	—	14	4	no	—
1122	M₁₆	—	14	4	no	—
1123	M₁₆	—	14	4	no	—
1124	M₁₆	—	14	4	no	—
1125	C₂×C₈	—	2	4	no	—
1126	C₂×C₈	—	7	2	no	—
1127	C₂×C₈	—	7	2	no	—
1128	C₂×C₈	—	7	2	no	—
1129	C₂×C₈	—	7	2	no	—
1130	C₂×C₈	—	14	4	no	—
1131	C₂×C₈	—	14	4	no	—
1132	C₂×C₈	—	14	4	no	—
1133	C₂×C₈	—	14	4	no	—
1134	C₂×C₈	—	14	4	no	—
1135	C₂×C₈	—	14	4	no	—
1136	C₂×C₈	—	14	4	no	—
1137	C₂×C₈	C₂³×D₇	1	2	yes	—
1138	C₂×C₈	C₂³×D₇	1	2	yes	—
1139	C₂×C₈	C₂³×D₇	1	2	yes	—
1140	C₂×C₈	C₂³×D₇	1	2	yes	—
1141	C₄⋊C₄	—	7	1	no	—
1142	C₄⋊C₄	—	7	1	no	—
1143	C₄⋊C₄	—	7	1	no	—
1144	C₄⋊C₄	—	7	1	no	—
1145	C₄⋊C₄	—	7	1	no	—
1146	C₄⋊C₄	—	7	1	no	—
1147	C₄⋊C₄	—	7	1	no	—
1148	C₄⋊C₄	—	7	1	no	—
1149	C₄⋊C₄	—	7	1	no	—
1150	C₄⋊C₄	—	7	1	no	—
1151	C₄⋊C₄	—	7	1	no	—
1152	C₄⋊C₄	—	7	1	no	—
1153	C₄⋊C₄	—	7	1	no	—
1154	C₄⋊C₄	—	7	1	no	—
1155	C₄⋊C₄	—	7	1	no	—
1156	C₄⋊C₄	—	7	1	no	—
1157	C₄⋊C₄	—	7	1	no	—
1158	C₄⋊C₄	—	7	1	no	—
1159	C₄⋊C₄	—	7	1	no	—
1160	C₄⋊C₄	—	7	1	no	—
1161	C₄⋊C₄	—	7	1	no	—
1162	C₄⋊C₄	—	7	1	no	—
1163	C₄⋊C₄	—	7	1	no	—
1164	C₄⋊C₄	—	7	1	no	—
1165	C₄⋊C₄	—	7	1	no	—
1166	C₄⋊C₄	—	7	1	no	—
1167	C₄⋊C₄	—	7	1	no	—
1168	C₄⋊C₄	—	7	1	no	—
1169	C₄⋊C₄	—	7	1	no	—
1170	C₄⋊C₄	—	7	1	no	—
1171	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1172	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1173	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1174	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1175	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1176	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1177	C₂²⋊C₄	—	7	1	no	—
1178	C₂²⋊C₄	—	7	1	no	—
1179	C₂²⋊C₄	—	7	1	no	—
1180	C₂²⋊C₄	—	7	1	no	—
1181	C₂²⋊C₄	—	7	1	no	—
1182	C₂²⋊C₄	—	7	1	no	—
1183	C₂²⋊C₄	—	7	1	no	—
1184	C₂²⋊C₄	—	7	1	no	—
1185	C₂²⋊C₄	—	7	1	no	—
1186	C₂²⋊C₄	—	7	1	no	—
1187	C₂²⋊C₄	—	7	1	no	—
1188	C₂²⋊C₄	—	7	1	no	—
1189	C₂²⋊C₄	—	7	1	no	—
1190	C₂²⋊C₄	—	7	1	no	—
1191	C₂²⋊C₄	—	7	1	no	—
1192	C₂²⋊C₄	—	7	1	no	—
1193	C₂²⋊C₄	—	7	1	no	—
1194	C₂²⋊C₄	—	7	1	no	—
1195	C₂²⋊C₄	—	7	1	no	—
1196	C₂²⋊C₄	—	7	1	no	—
1197	C₂²⋊C₄	—	7	1	no	—
1198	C₂²⋊C₄	—	7	1	no	—
1199	C₂²⋊C₄	—	7	1	no	—
1200	C₂²⋊C₄	—	7	1	no	—
1201	C₂²⋊C₄	—	7	1	no	—
1202	C₂²⋊C₄	—	7	1	no	—
1203	C₂²⋊C₄	—	7	1	no	—
1204	C₂²⋊C₄	—	7	1	no	—
1205	C₂²⋊C₄	—	7	1	no	—
1206	C₂²⋊C₄	—	7	1	no	—
1207	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1208	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1209	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1210	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1211	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1212	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1213	C₄²	—	7	1	no	—
1214	C₄²	—	7	1	no	—
1215	C₄²	—	7	1	no	—
1216	C₄²	—	7	1	no	—
1217	C₄²	—	7	1	no	—
1218	C₄²	—	7	1	no	—
1219	C₄²	—	7	1	no	—
1220	C₄²	—	7	1	no	—
1221	C₄²	—	7	1	no	—
1222	C₄²	—	7	1	no	—
1223	C₄²	—	7	1	no	—
1224	C₄²	—	7	1	no	—
1225	C₄²	—	7	1	no	—
1226	C₄²	—	7	1	no	—
1227	C₄²	—	7	1	no	—
1228	C₄²	—	7	1	no	—
1229	C₄²	—	7	1	no	—
1230	C₄²	—	7	1	no	—
1231	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1232	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1233	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1234	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1235	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1236	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1237	C₄²	C₂³×D₇	1	1	yes	characteristic
1238	C₄²	C₂³×D₇	1	1	yes	characteristic
1239	C₄²	C₂³×D₇	1	1	yes	characteristic
1240	C₄²	C₂³×D₇	1	1	yes	characteristic
1241	C₂×C₇	—	4	1	no	—
1242	C₂×C₇	—	4	1	no	—
1243	C₂×C₇	—	4	1	no	—
1244	C₂×C₇	C₂×C₄×#41	1	1	yes	characteristic
1245	C₂×C₇	C₂²×#131	1	1	yes	characteristic
1246	C₂×C₇	C₂×#568	1	1	yes	characteristic
1247	D₇	—	2	2	no	—
1248	D₇	—	2	2	no	—
1249	D₇	—	4	1	no	—
1250	D₇	—	4	1	no	—
1251	C₂³	—	7	1	no	—
1252	C₂³	—	7	1	no	—
1253	C₂³	—	7	1	no	—
1254	C₂³	—	7	1	no	—
1255	C₂³	—	14	2	no	—
1256	C₂³	—	14	2	no	—
1257	C₂³	—	28	1	no	—
1258	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1259	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1260	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1261	Q₈	—	4	1	no	—
1262	Q₈	—	14	2	no	—
1263	Q₈	—	14	2	no	—
1264	Q₈	—	14	2	no	—
1265	Q₈	—	14	2	no	—
1266	Q₈	—	28	1	no	—
1267	D₄	—	4	1	no	—
1268	D₄	—	4	1	no	—
1269	D₄	—	4	1	no	—
1270	D₄	—	14	2	no	—
1271	D₄	—	14	2	no	—
1272	D₄	—	14	2	no	—
1273	D₄	—	14	2	no	—
1274	D₄	—	14	2	no	—
1275	D₄	—	14	2	no	—
1276	D₄	—	14	2	no	—
1277	D₄	—	14	2	no	—
1278	D₄	—	14	2	no	—
1279	D₄	—	14	2	no	—
1280	D₄	—	14	2	no	—
1281	D₄	—	14	2	no	—
1282	D₄	—	28	1	no	—
1283	D₄	—	28	1	no	—
1284	D₄	—	28	1	no	—
1285	C₂×C₄	—	2	2	no	—
1286	C₂×C₄	—	2	2	no	—
1287	C₂×C₄	—	2	2	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	2	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	2	2	no	—
1292	C₂×C₄	—	2	2	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	7	1	no	—
1295	C₂×C₄	—	7	1	no	—
1296	C₂×C₄	—	7	4	no	—
1297	C₂×C₄	—	7	4	no	—
1298	C₂×C₄	—	7	1	no	—
1299	C₂×C₄	—	7	1	no	—
1300	C₂×C₄	—	7	1	no	—
1301	C₂×C₄	—	7	1	no	—
1302	C₂×C₄	—	7	1	no	—
1303	C₂×C₄	—	7	1	no	—
1304	C₂×C₄	—	7	1	no	—
1305	C₂×C₄	—	7	1	no	—
1306	C₂×C₄	—	7	1	no	—
1307	C₂×C₄	—	7	1	no	—
1308	C₂×C₄	—	14	2	no	—
1309	C₂×C₄	—	14	2	no	—
1310	C₂×C₄	—	14	2	no	—
1311	C₂×C₄	—	14	2	no	—
1312	C₂×C₄	—	14	2	no	—
1313	C₂×C₄	—	14	2	no	—
1314	C₂×C₄	—	14	2	no	—
1315	C₂×C₄	—	14	2	no	—
1316	C₂×C₄	—	14	2	no	—
1317	C₂×C₄	—	14	2	no	—
1318	C₂×C₄	—	14	2	no	—
1319	C₂×C₄	—	14	2	no	—
1320	C₂×C₄	—	14	2	no	—
1321	C₂×C₄	—	14	2	no	—
1322	C₂×C₄	—	14	2	no	—
1323	C₂×C₄	—	14	2	no	—
1324	C₂×C₄	—	28	1	no	—
1325	C₂×C₄	—	28	1	no	—
1326	C₂×C₄	—	28	1	no	—
1327	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1328	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1329	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1330	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1331	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1332	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1333	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1334	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1335	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1336	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1337	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1338	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1339	C₈	—	2	2	no	—
1340	C₈	—	2	2	no	—
1341	C₈	—	2	2	no	—
1342	C₈	—	7	4	no	—
1343	C₈	—	14	2	no	—
1344	C₈	—	14	2	no	—
1345	C₈	—	14	2	no	—
1346	C₈	D₇×#41	1	4	yes	—
1347	C₇	#60210	1	1	yes	characteristic, complemented, Sylow
1348	C₂²	—	2	1	no	—
1349	C₂²	—	2	1	no	—
1350	C₂²	—	2	1	no	—
1351	C₂²	—	2	1	no	—
1352	C₂²	—	2	1	no	—
1353	C₂²	—	2	1	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	2	1	no	—
1357	C₂²	—	7	2	no	—
1358	C₂²	—	7	2	no	—
1359	C₂²	—	14	1	no	—
1360	C₂²	—	14	1	no	—
1361	C₂²	—	14	1	no	—
1362	C₂²	—	14	1	no	—
1363	C₂²	—	14	1	no	—
1364	C₂²	—	14	1	no	—
1365	C₂²	—	14	1	no	—
1366	C₂²	—	14	1	no	—
1367	C₂²	—	14	1	no	—
1368	C₂²	—	14	1	no	—
1369	C₂²	—	28	4	no	—
1370	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1371	C₄	—	2	1	no	—
1372	C₄	—	2	1	no	—
1373	C₄	—	2	1	no	—
1374	C₄	—	2	1	no	—
1375	C₄	—	2	1	no	—
1376	C₄	—	2	1	no	—
1377	C₄	—	2	1	no	—
1378	C₄	—	2	1	no	—
1379	C₄	—	2	1	no	—
1380	C₄	—	7	2	no	—
1381	C₄	—	7	2	no	—
1382	C₄	—	14	1	no	—
1383	C₄	—	14	1	no	—
1384	C₄	—	14	1	no	—
1385	C₄	—	14	1	no	—
1386	C₄	—	14	1	no	—
1387	C₄	—	14	1	no	—
1388	C₄	—	14	1	no	—
1389	C₄	—	14	1	no	—
1390	C₄	—	14	1	no	—
1391	C₄	—	14	1	no	—
1392	C₄	#90436	1	2	yes	—
1393	C₄	D₇×#131	1	2	yes	—
1394	C₄	C₂×D₇×#41	1	2	yes	—
1395	C₂	—	4	1	no	—
1396	C₂	—	4	1	no	—
1397	C₂	—	4	1	no	—
1398	C₂	—	14	2	no	—
1399	C₂	—	14	2	no	—
1400	C₂	—	28	1	no	—
1401	C₂	—	28	1	no	—
1402	C₂	C₄×D₇×#41	1	1	yes	characteristic
1403	C₂	C₂×#90436	1	1	yes	characteristic
1404	C₂	C₂×D₇×#131	1	1	yes	characteristic

	subgroup	G/H
center	C₄²	C₂³×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#2965	C₂
prime radical	#11742904	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2965	D₇
hypocenter	C₇	#60210
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₄² ◁ #2965

Complements

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

N	H ≅ G/N	type
2. C₇×#2965	C₂	semidirect
3. #11739962	C₂	semidirect
4. #11737406	C₂	semidirect
5. #11737386	C₂	semidirect
6. #11736984	C₂	semidirect
7. #11736965	C₂	semidirect
8. #11736929	C₂	semidirect
9. #11736927	C₂	semidirect
10. #11736904	C₂	semidirect
11. #11736903	C₂	semidirect
12. #11736728	C₂	semidirect
13. #11736728	C₂	semidirect
14. D₇×#431	C₂	semidirect
15. #11736723	C₂	semidirect
16. #11736723	C₂	semidirect
17. #11736721	C₂	semidirect
18. #11735968	C₂	semidirect
19. #11735968	C₂	semidirect
20. C₄×#6470	C₂	semidirect
21. C₄×D₇×M₁₆	C₂	semidirect
22. C₄×#6464	C₂	semidirect
23. C₈×#1157	C₂	semidirect
58. C₇×#446	C₂²	semidirect
61. C₇×#435	C₂²	semidirect
63. C₇×#431	C₂²	semidirect
64. C₇×#431	C₂²	semidirect
66. C₄×C₇×M₁₆	C₂²	semidirect
67. C₂×C₄×C₇×C₈	C₂²	semidirect
69. #89900	C₂²	semidirect
72. #89894	C₂²	semidirect
75. C₈×C₂²⋊D₇	C₂²	semidirect
76. #89873	C₂²	semidirect
77. #89796	C₂²	semidirect
80. #89783	C₂²	semidirect
82. #89697	C₂²	semidirect
83. #89697	C₂²	semidirect
85. C₄×#1136	C₂²	semidirect
86. C₂×C₄×C₇⋊C₈	C₂²	semidirect
87. #89612	C₂²	semidirect
88. #89612	C₂²	semidirect
92. #89608	C₂²	semidirect
96. #89602	C₂²	semidirect
97. #89600	C₂²	semidirect
98. #89600	C₂²	semidirect
100. #89501	C₂²	semidirect
106. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
108. #89492	C₂²	semidirect
109. #89492	C₂²	semidirect
112. #89480	C₂²	semidirect
115. #89478	C₂²	semidirect
117. #89473	C₂²	semidirect
118. #89473	C₂²	semidirect
120. #89461	C₂²	semidirect
123. C₄×#1131	C₂²	semidirect
124. C₄×#1131	C₂²	semidirect
128. #89457	C₂²	semidirect
129. #89457	C₂²	semidirect
130. #89457	C₂²	semidirect
131. #89457	C₂²	semidirect
136. C₄×C₈×D₇	C₂²	semidirect
137. C₄×C₈×D₇	C₂²	semidirect
138. C₈×Dic₁₄	C₂²	semidirect
372. #2965	D₇	semidirect
566. #1131	#41	semidirect
612. #446	C₂×D₇	semidirect
632. #435	C₂×D₇	semidirect
655. #431	C₂×D₇	semidirect
656. #431	C₂×D₇	semidirect
678. C₄×M₁₆	C₂×D₇	semidirect
687. C₂×C₄×C₈	C₂×D₇	semidirect
769. C₄×D₇	#131	semidirect
1347. C₇	#60210	semidirect

Maximal subgroups

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

subgroup	index
#11742904	2
C₇×#2965	2
#11739962	2
#11737406	2
#11737386	2
#11736984	2
#11736965	2
#11736929	2
#11736927	2
#11736904	2
#11736903	2
#11736728	2
D₇×#431	2
#11736723	2
#11736721	2
#11735968	2
C₄×#6470	2
C₄×D₇×M₁₆	2
C₄×#6464	2
C₈×#1157	2
#60210	7