Subgroups — #14218460

Order 1792.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3475	C₂	1	1	yes	maximal, characteristic
2	#11740775	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740774	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740574	C₂	1	2	yes	maximal, complemented
5	#11740573	C₂	1	2	yes	maximal, complemented
6	#11740573	C₂	1	2	yes	maximal, complemented
7	#11740572	C₂	1	2	yes	maximal, complemented
8	#11740572	C₂	1	2	yes	maximal, complemented
9	#11740571	C₂	1	2	yes	maximal, complemented
10	#11740363	C₂	1	1	yes	maximal, characteristic, complemented
11	#11740363	C₂	1	1	yes	maximal, characteristic, complemented
12	#11740362	C₂	1	1	yes	maximal, characteristic, complemented
13	#11740361	C₂	1	1	yes	maximal, characteristic, complemented
14	#11739963	C₂	1	2	yes	maximal, complemented
15	#11739962	C₂	1	2	yes	maximal, complemented
16	#11739960	C₂	1	1	yes	maximal, characteristic, complemented
17	#11739956	C₂	1	1	yes	maximal, characteristic, complemented
18	D₄×#1136	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#89783	C₂	1	1	yes	maximal, characteristic, complemented
20	#11739655	C₂	1	1	yes	maximal, characteristic, complemented
21	#11739655	C₂	1	1	yes	maximal, characteristic, complemented
22	#11739647	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#89769	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#556	C₄	1	1	yes	characteristic
25	C₇×#555	C₄	1	1	yes	characteristic
26	C₇×#554	C₄	1	1	yes	characteristic
27	C₇×#553	C₄	1	1	yes	characteristic
28	C₇×#553	C₄	1	1	yes	characteristic
29	C₇×#552	C₄	1	1	yes	characteristic
30	C₇×#552	C₄	1	1	yes	characteristic
31	C₇×#552	C₄	1	2	yes	—
32	C₇×#551	C₄	1	2	yes	—
33	C₇×#551	C₄	1	2	yes	—
34	C₇×#547	C₄	1	1	yes	characteristic
35	C₇×#546	C₄	1	2	yes	—
36	C₇×#533	C₂²	1	1	yes	characteristic
37	C₇×#529	C₂²	1	2	yes	—
38	C₇×#529	C₂²	1	2	yes	—
39	C₇×#529	C₂²	1	2	yes	—
40	C₇×#525	C₂²	1	1	yes	characteristic
41	C₇×#525	C₂²	1	1	yes	characteristic
42	C₄×C₇×#41	C₂²	1	2	yes	—
43	C₄×C₇×#41	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₇×#117	C₂²	1	1	yes	characteristic
46	C₂×C₇×#117	C₂²	1	1	yes	characteristic
47	C₂×#6511	C₂²	1	1	yes	characteristic
48	C₂×#6511	C₂²	1	1	yes	characteristic
49	C₂²×#1136	C₂²	1	1	yes	characteristic
50	C₂²×#1136	C₂²	1	1	yes	characteristic
51	C₂²×#1136	C₂²	1	1	yes	characteristic
52	C₂³×C₇⋊C₈	C₂²	1	1	yes	characteristic
53	#90006	C₂²	1	1	yes	characteristic
54	#90006	C₂²	1	1	yes	characteristic
55	#89979	C₂²	1	1	yes	characteristic
56	#89979	C₂²	1	1	yes	characteristic
57	C₂×C₂²⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic
58	C₂×C₂²⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic
59	#89796	C₂²	1	2	yes	complemented
60	#89796	C₂²	1	2	yes	complemented
61	#89796	C₂²	1	2	yes	complemented
62	#89796	C₂²	1	2	yes	complemented
63	#89796	C₂²	1	2	yes	complemented
64	#89796	C₂²	1	2	yes	complemented
65	#89796	C₂²	1	2	yes	complemented
66	Q₈×C₇⋊C₈	C₂²	1	2	yes	complemented
67	#89784	C₂²	1	2	yes	—
68	#89784	C₂²	1	2	yes	complemented
69	#89784	C₂²	1	2	yes	complemented
70	#89784	C₂²	1	2	yes	complemented
71	#89784	C₂²	1	2	yes	complemented
72	#89783	C₂²	1	1	yes	characteristic
73	#89783	C₂²	1	2	yes	—
74	#89783	C₂²	1	1	yes	characteristic
75	#89783	C₂²	1	1	yes	characteristic
76	#89783	C₂²	1	1	yes	characteristic
77	#89783	C₂²	1	1	yes	characteristic
78	#89783	C₂²	1	1	yes	characteristic
79	#89783	C₂²	1	1	yes	characteristic
80	#89783	C₂²	1	1	yes	characteristic
81	#89783	C₂²	1	2	yes	—
82	#89783	C₂²	1	2	yes	complemented
83	#89783	C₂²	1	2	yes	complemented
84	#89783	C₂²	1	2	yes	complemented
85	#89783	C₂²	1	2	yes	complemented
86	#89783	C₂²	1	2	yes	complemented
87	#89783	C₂²	1	2	yes	complemented
88	#89783	C₂²	1	2	yes	complemented
89	#89783	C₂²	1	2	yes	complemented
90	D₄×C₇⋊C₈	C₂²	1	2	yes	—
91	D₄×C₇⋊C₈	C₂²	1	2	yes	complemented
92	D₄×C₇⋊C₈	C₂²	1	2	yes	complemented
93	D₄×C₇⋊C₈	C₂²	1	2	yes	complemented
94	D₄×C₇⋊C₈	C₂²	1	2	yes	complemented
95	#89772	C₂²	1	2	yes	complemented
96	#89772	C₂²	1	2	yes	complemented
97	#89772	C₂²	1	2	yes	complemented
98	#89772	C₂²	1	2	yes	complemented
99	#89772	C₂²	1	2	yes	complemented
100	#89772	C₂²	1	2	yes	complemented
101	#89771	C₂²	1	1	yes	characteristic
102	#89771	C₂²	1	1	yes	characteristic
103	#89771	C₂²	1	1	yes	characteristic
104	#89771	C₂²	1	1	yes	characteristic
105	#89769	C₂²	1	1	yes	characteristic
106	#89769	C₂²	1	1	yes	characteristic
107	#89769	C₂²	1	1	yes	characteristic
108	#89769	C₂²	1	1	yes	characteristic
109	#89769	C₂²	1	1	yes	characteristic
110	#89769	C₂²	1	1	yes	characteristic
111	#89769	C₂²	1	1	yes	characteristic
112	#89769	C₂²	1	1	yes	characteristic
113	#89769	C₂²	1	2	yes	complemented
114	#89769	C₂²	1	2	yes	complemented
115	#89769	C₂²	1	2	yes	complemented
116	#89769	C₂²	1	2	yes	complemented
117	#89769	C₂²	1	2	yes	complemented
118	#89769	C₂²	1	2	yes	complemented
119	#89698	C₂²	1	2	yes	complemented
120	#89698	C₂²	1	2	yes	complemented
121	#89698	C₂²	1	2	yes	complemented
122	#89697	C₂²	1	2	yes	complemented
123	#89697	C₂²	1	2	yes	complemented
124	#89697	C₂²	1	2	yes	complemented
125	#89696	C₂²	1	1	yes	characteristic
126	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic
127	C₄×#1136	C₂²	1	1	yes	characteristic
128	C₄×#1136	C₂²	1	2	yes	complemented
129	C₄×#1136	C₂²	1	2	yes	complemented
130	C₄×#1136	C₂²	1	2	yes	complemented
131	C₂×#6377	C₂²	1	1	yes	characteristic
132	C₂×#6377	C₂²	1	2	yes	complemented
133	C₂×#6377	C₂²	1	2	yes	complemented
134	C₂×C₄×C₇⋊C₈	C₂²	1	2	yes	complemented
135	#60216	—	7	1	no	maximal, Sylow
136	C₂×C₇×#41	C₂×C₄	1	2	yes	—
137	C₂×C₇×#41	C₂³	1	1	yes	characteristic
138	C₂²×C₇×D₄	C₂×C₄	1	1	yes	characteristic
139	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
141	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
142	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
143	C₇×#126	C₂×C₄	1	2	yes	—
144	C₇×#126	C₂×C₄	1	2	yes	—
145	C₇×#126	C₂×C₄	1	2	yes	—
146	C₇×#126	C₂×C₄	1	2	yes	—
147	C₇×#126	C₂×C₄	1	2	yes	—
148	C₇×#126	C₂×C₄	1	2	yes	—
149	C₇×#125	C₂×C₄	1	2	yes	—
150	C₇×#125	C₂×C₄	1	2	yes	—
151	C₇×#125	C₂×C₄	1	2	yes	—
152	C₇×#125	C₂×C₄	1	1	yes	characteristic
153	C₇×#125	C₂×C₄	1	1	yes	characteristic
154	C₇×#124	C₂×C₄	1	2	yes	—
155	C₇×#124	C₂×C₄	1	2	yes	—
156	C₇×#124	C₂×C₄	1	2	yes	—
157	C₇×#123	C₂×C₄	1	2	yes	—
158	C₇×#123	C₂×C₄	1	2	yes	—
159	C₇×#123	C₂×C₄	1	2	yes	—
160	C₇×#123	C₂×C₄	1	2	yes	—
161	C₇×#123	C₂×C₄	1	2	yes	—
162	C₇×#123	C₂×C₄	1	2	yes	—
163	C₇×#123	C₂×C₄	1	2	yes	—
164	C₇×#123	C₂×C₄	1	2	yes	—
165	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
166	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
167	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
168	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
169	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
170	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
171	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
172	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
173	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
174	C₇×#121	C₂×C₄	1	1	yes	characteristic
175	C₇×#121	C₂×C₄	1	1	yes	characteristic
176	C₇×#121	C₂×C₄	1	1	yes	characteristic
177	C₇×#121	C₂×C₄	1	1	yes	characteristic
178	C₇×#121	C₂×C₄	1	2	yes	—
179	C₇×#121	C₂×C₄	1	2	yes	—
180	C₇×#121	C₂×C₄	1	2	yes	—
181	C₇×#120	C₂×C₄	1	2	yes	—
182	C₇×#120	C₂×C₄	1	2	yes	—
183	C₄×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
184	C₄×C₇×Q₈	C₂×C₄	1	2	yes	—
185	C₄×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
186	C₄×C₇×Q₈	C₂³	1	2	yes	—
187	C₄×C₇×Q₈	C₂³	1	2	yes	—
188	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
189	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
190	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
191	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
192	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
193	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
194	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
195	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
196	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
197	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
198	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
199	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
200	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
201	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
202	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
203	C₄×C₇×D₄	C₂³	1	2	yes	—
204	C₄×C₇×D₄	C₂³	1	2	yes	—
205	C₄×C₇×D₄	C₂³	1	2	yes	—
206	C₄×C₇×D₄	C₂³	1	2	yes	—
207	C₇×#117	C₂×C₄	1	2	yes	—
208	C₇×#117	C₂×C₄	1	2	yes	—
209	C₇×#117	C₂×C₄	1	1	yes	characteristic
210	C₇×#117	C₂×C₄	1	1	yes	characteristic
211	C₇×#117	C₂×C₄	1	1	yes	characteristic
212	C₇×#117	C₂×C₄	1	1	yes	characteristic
213	C₇×#117	C₂×C₄	1	2	yes	—
214	C₇×#117	C₂×C₄	1	2	yes	—
215	C₇×#117	C₂×C₄	1	2	yes	—
216	C₇×#117	C₂³	1	1	yes	characteristic
217	C₇×#117	C₂³	1	1	yes	characteristic
218	C₇×#117	C₂³	1	1	yes	characteristic
219	C₇×#117	C₂³	1	2	yes	—
220	C₇×#117	C₂³	1	2	yes	—
221	C₇×#117	C₂³	1	2	yes	—
222	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
223	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
224	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
225	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
226	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
227	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	2	yes	—
228	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	2	yes	—
229	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
230	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄²×C₇	C₂³	1	2	yes	—
232	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₇	C₂³	1	2	yes	—
234	C₂×C₄²×C₇	C₂³	1	2	yes	—
235	#6511	—	2	4	no	—
236	#6511	—	2	4	no	—
237	C₂×#1136	—	2	4	no	—
238	C₂×#1136	—	2	4	no	—
239	C₂×#1136	—	2	4	no	—
240	C₂×#1136	C₂³	1	1	yes	characteristic
241	C₂×#1136	C₂³	1	1	yes	characteristic
242	C₂×#1136	C₂³	1	1	yes	characteristic
243	C₂×#1136	C₂³	1	2	yes	—
244	C₂×#1136	C₂³	1	2	yes	—
245	C₂×#1136	C₂³	1	2	yes	—
246	C₂×#1136	C₂³	1	1	yes	characteristic
247	C₂×#1136	C₂³	1	1	yes	characteristic
248	C₂×#1136	C₂³	1	1	yes	characteristic
249	C₂×#1136	C₂³	1	1	yes	characteristic
250	C₂×#1136	C₂³	1	2	yes	—
251	C₂×#1136	C₂³	1	1	yes	characteristic
252	C₂²×C₇⋊C₈	—	2	4	no	—
253	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
254	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
255	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
256	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
257	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
258	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
259	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
260	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
261	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
262	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
263	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
264	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
265	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
266	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
267	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
268	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
269	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
270	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
271	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
272	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
273	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
274	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
275	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
276	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
277	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
278	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
279	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
280	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
281	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
282	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
283	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
284	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
285	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
286	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
287	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
288	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
289	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
290	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
291	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
292	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
293	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
294	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
295	#6377	C₂³	1	1	yes	characteristic
296	#6377	C₂³	1	1	yes	characteristic
297	#6377	C₂³	1	1	yes	characteristic
298	#6377	C₂³	1	1	yes	characteristic
299	#6377	C₂³	1	2	yes	—
300	#6377	C₂³	1	2	yes	—
301	#6377	C₂³	1	2	yes	—
302	#6377	C₂³	1	2	yes	—
303	#6377	C₂³	1	2	yes	—
304	#6377	C₂³	1	2	yes	—
305	#6377	C₂³	1	2	yes	—
306	#6377	C₂³	1	2	yes	—
307	#6377	C₂³	1	2	yes	—
308	C₄×C₇⋊C₈	C₂³	1	2	yes	—
309	C₄×C₇⋊C₈	C₂³	1	2	yes	—
310	C₄×C₇⋊C₈	C₂³	1	2	yes	—
311	C₄×C₇⋊C₈	C₂³	1	2	yes	—
312	C₄×C₇⋊C₈	C₂³	1	2	yes	—
313	C₄×C₇⋊C₈	C₂³	1	2	yes	—
314	C₄×C₇⋊C₈	C₂³	1	2	yes	—
315	C₄×C₇⋊C₈	C₂³	1	2	yes	—
316	C₄×C₇⋊C₈	C₂³	1	2	yes	—
317	#3475	D₇	1	1	yes	characteristic
318	#2970	—	7	2	no	—
319	#2969	—	7	2	no	—
320	#2968	—	7	2	no	—
321	#2968	—	7	2	no	—
322	#2967	—	7	2	no	—
323	#2967	—	7	2	no	—
324	#2966	—	7	2	no	—
325	#2965	—	7	2	no	—
326	#2962	—	7	1	no	—
327	#2961	—	7	1	no	—
328	D₄×M₁₆	—	7	1	no	—
329	#2933	—	7	1	no	—
330	#2933	—	7	1	no	—
331	#2930	—	7	1	no	—
332	#2929	—	7	1	no	—
333	C₂×#435	—	7	1	no	—
334	#2925	—	7	1	no	—
335	#2924	—	7	1	no	—
336	#2924	—	7	1	no	—
337	#2875	—	7	1	no	—
338	#2873	—	7	1	no	—
339	C₂×#405	—	7	1	no	—
340	C₂⁴×C₇	C₂²×C₄	1	1	yes	characteristic
341	C₂⁴×C₇	C₂²×C₄	1	1	yes	characteristic
342	C₇×#41	—	2	2	no	—
343	C₇×#41	—	2	2	no	—
344	C₇×#41	—	4	4	no	—
345	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
346	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
347	C₂×C₇×Q₈	C₂²×C₄	1	2	yes	—
348	C₂×C₇×D₄	—	4	2	no	—
349	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
350	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
351	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
352	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
353	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
354	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
355	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
356	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
357	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
358	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
359	C₂²×C₄×C₇	—	2	2	no	—
360	C₂²×C₄×C₇	—	2	2	no	—
361	C₂²×C₄×C₇	—	2	2	no	—
362	C₂²×C₄×C₇	—	2	2	no	—
363	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
364	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
365	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
366	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
367	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
368	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
369	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
370	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
371	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
372	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
373	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
374	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
375	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
376	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
377	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
379	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
383	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
384	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
385	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
386	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
387	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
388	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
389	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
390	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
391	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
392	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
393	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
394	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
395	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
396	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
397	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
398	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
399	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
400	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
401	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
402	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
403	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
404	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
405	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
406	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
407	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
408	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
409	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
410	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
411	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
412	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
413	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
414	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
415	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
416	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
417	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
418	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
419	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
420	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
421	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
422	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
423	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
424	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
425	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
426	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
427	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
428	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
429	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
430	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
431	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
432	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
433	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
434	C₄²×C₇	C₂²×C₄	1	2	yes	—
435	C₄²×C₇	C₂²×C₄	1	2	yes	—
436	C₄²×C₇	C₂²×C₄	1	2	yes	—
437	C₄²×C₇	C₂²×C₄	1	2	yes	—
438	C₄²×C₇	C₂²×C₄	1	2	yes	—
439	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
440	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
441	C₄²×C₇	C₂²×C₄	1	2	yes	—
442	C₄²×C₇	C₂⁴	1	2	yes	—
443	C₄²×C₇	C₂⁴	1	1	yes	characteristic
444	C₄²×C₇	C₂⁴	1	1	yes	characteristic
445	C₄²×C₇	C₂⁴	1	2	yes	—
446	C₄²×C₇	C₂⁴	1	2	yes	—
447	#1136	—	2	2	no	—
448	#1136	—	2	2	no	—
449	#1136	—	2	2	no	—
450	#1136	—	2	2	no	—
451	#1136	—	2	2	no	—
452	#1136	—	2	4	no	—
453	#1136	—	2	4	no	—
454	#1136	—	2	2	no	—
455	#1136	—	2	2	no	—
456	#1136	—	2	4	no	—
457	#1136	—	2	4	no	—
458	#1136	#41	1	4	yes	complemented
459	C₂×C₇⋊C₈	—	2	2	no	—
460	C₂×C₇⋊C₈	—	2	2	no	—
461	C₂×C₇⋊C₈	—	2	2	no	—
462	C₂×C₇⋊C₈	—	2	2	no	—
463	C₂×C₇⋊C₈	—	2	2	no	—
464	C₂×C₇⋊C₈	—	2	2	no	—
465	C₂×C₇⋊C₈	—	2	2	no	—
466	C₂×C₇⋊C₈	—	2	4	no	—
467	C₂×C₇⋊C₈	—	2	4	no	—
468	C₂×C₇⋊C₈	—	2	4	no	—
469	C₂×C₇⋊C₈	—	2	4	no	—
470	C₂×C₇⋊C₈	#41	1	4	yes	complemented
471	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
472	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
473	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
474	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
475	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
476	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
477	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
478	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
479	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
480	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
481	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
482	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
483	C₂×#131	—	7	1	no	—
484	C₂×#131	—	7	1	no	—
485	C₂²×M₁₆	—	7	1	no	—
486	C₂²×M₁₆	—	7	1	no	—
487	C₂²×M₁₆	—	7	1	no	—
488	C₂³×C₈	—	7	1	no	—
489	#556	Dic₇	1	1	yes	characteristic
490	#555	Dic₇	1	1	yes	characteristic
491	#554	Dic₇	1	1	yes	characteristic
492	#553	Dic₇	1	1	yes	characteristic
493	#553	Dic₇	1	1	yes	characteristic
494	#552	Dic₇	1	1	yes	characteristic
495	#552	Dic₇	1	1	yes	characteristic
496	#552	Dic₇	1	2	yes	—
497	#551	Dic₇	1	2	yes	—
498	#551	Dic₇	1	2	yes	—
499	#547	Dic₇	1	1	yes	characteristic
500	#546	Dic₇	1	2	yes	—
501	#533	C₂×D₇	1	1	yes	characteristic
502	#529	C₂×D₇	1	2	yes	—
503	#529	C₂×D₇	1	2	yes	—
504	#529	C₂×D₇	1	2	yes	—
505	#525	C₂×D₇	1	1	yes	characteristic
506	#525	C₂×D₇	1	1	yes	characteristic
507	C₄×#41	C₂×D₇	1	2	yes	—
508	C₄×#41	C₂×D₇	1	1	yes	characteristic
509	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
510	C₂×#117	C₂×D₇	1	1	yes	characteristic
511	C₂×#117	C₂×D₇	1	1	yes	characteristic
512	#446	—	7	2	no	—
513	#446	—	7	2	no	—
514	#446	—	7	2	no	—
515	#446	—	7	2	no	—
516	#446	—	7	2	no	—
517	#446	—	7	2	no	—
518	#446	—	7	2	no	—
519	C₈×Q₈	—	7	2	no	—
520	#436	—	7	2	no	—
521	#436	—	7	2	no	—
522	#436	—	7	2	no	—
523	#436	—	7	2	no	—
524	#436	—	7	2	no	—
525	#435	—	7	1	no	—
526	#435	—	7	1	no	—
527	#435	—	7	1	no	—
528	#435	—	7	1	no	—
529	#435	—	7	1	no	—
530	#435	—	7	1	no	—
531	#435	—	7	1	no	—
532	#435	—	7	1	no	—
533	#435	—	7	2	no	—
534	#435	—	7	2	no	—
535	#435	—	7	2	no	—
536	#435	—	7	2	no	—
537	#435	—	7	2	no	—
538	#435	—	7	2	no	—
539	#435	—	7	2	no	—
540	#435	—	7	2	no	—
541	#435	—	7	2	no	—
542	#435	—	7	2	no	—
543	C₈×D₄	—	7	2	no	—
544	C₈×D₄	—	7	2	no	—
545	C₈×D₄	—	7	2	no	—
546	C₈×D₄	—	7	2	no	—
547	C₈×D₄	—	7	2	no	—
548	#433	—	7	2	no	—
549	#433	—	7	2	no	—
550	#433	—	7	2	no	—
551	#433	—	7	2	no	—
552	#433	—	7	2	no	—
553	#433	—	7	2	no	—
554	#432	—	7	2	no	—
555	#432	—	7	2	no	—
556	#432	—	7	2	no	—
557	#431	—	7	2	no	—
558	#431	—	7	2	no	—
559	#431	—	7	2	no	—
560	#424	—	7	1	no	—
561	#424	—	7	1	no	—
562	#424	—	7	1	no	—
563	#424	—	7	1	no	—
564	#423	—	7	1	no	—
565	C₂×C₄⋊C₈	—	7	1	no	—
566	#408	—	7	1	no	—
567	#408	—	7	1	no	—
568	#407	—	7	1	no	—
569	#407	—	7	1	no	—
570	C₂×C₂²⋊C₈	—	7	1	no	—
571	C₂×C₂²⋊C₈	—	7	1	no	—
572	#405	—	7	1	no	—
573	#405	—	7	1	no	—
574	#405	—	7	1	no	—
575	#405	—	7	1	no	—
576	#405	—	7	2	no	—
577	#405	—	7	2	no	—
578	#405	—	7	1	no	—
579	#405	—	7	1	no	—
580	#405	—	7	1	no	—
581	#405	—	7	2	no	—
582	#405	—	7	2	no	—
583	#405	—	7	1	no	—
584	#405	—	7	2	no	—
585	#405	—	7	2	no	—
586	C₄×M₁₆	—	7	2	no	—
587	C₄×M₁₆	—	7	2	no	—
588	C₄×M₁₆	—	7	1	no	—
589	C₄×M₁₆	—	7	2	no	—
590	C₂×#97	—	7	2	no	—
591	C₂×#97	—	7	1	no	—
592	C₂×#97	—	7	2	no	—
593	C₂×C₄×C₈	—	7	2	no	—
594	C₂³×C₇	—	2	2	no	—
595	C₂³×C₇	—	2	2	no	—
596	C₂³×C₇	—	2	2	no	—
597	C₂³×C₇	—	4	1	no	—
598	C₂³×C₇	—	4	1	no	—
599	C₂³×C₇	—	4	1	no	—
600	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
601	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
602	C₂³×C₇	C₂³×C₄	1	2	yes	—
603	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
604	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
605	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
606	C₇×Q₈	—	2	2	no	—
607	C₇×Q₈	—	4	2	no	—
608	C₇×Q₈	—	4	2	no	—
609	C₇×D₄	—	2	4	no	—
610	C₇×D₄	—	2	2	no	—
611	C₇×D₄	—	2	2	no	—
612	C₇×D₄	—	2	4	no	—
613	C₇×D₄	—	2	2	no	—
614	C₇×D₄	—	4	1	no	—
615	C₇×D₄	—	4	1	no	—
616	C₇×D₄	—	4	2	no	—
617	C₇×D₄	—	4	2	no	—
618	C₇×D₄	—	4	2	no	—
619	C₂×C₄×C₇	—	2	2	no	—
620	C₂×C₄×C₇	—	2	2	no	—
621	C₂×C₄×C₇	—	2	4	no	—
622	C₂×C₄×C₇	—	2	2	no	—
623	C₂×C₄×C₇	—	2	2	no	—
624	C₂×C₄×C₇	—	2	2	no	—
625	C₂×C₄×C₇	—	2	2	no	—
626	C₂×C₄×C₇	—	2	1	no	—
627	C₂×C₄×C₇	—	2	1	no	—
628	C₂×C₄×C₇	—	2	1	no	—
629	C₂×C₄×C₇	—	2	1	no	—
630	C₂×C₄×C₇	—	2	2	no	—
631	C₂×C₄×C₇	—	2	2	no	—
632	C₂×C₄×C₇	—	2	1	no	—
633	C₂×C₄×C₇	—	2	1	no	—
634	C₂×C₄×C₇	—	2	1	no	—
635	C₂×C₄×C₇	—	2	1	no	—
636	C₂×C₄×C₇	—	4	2	no	—
637	C₂×C₄×C₇	—	4	2	no	—
638	C₂×C₄×C₇	—	4	2	no	—
639	C₂×C₄×C₇	—	4	1	no	—
640	C₂×C₄×C₇	—	4	1	no	—
641	C₂×C₄×C₇	—	4	2	no	—
642	C₂×C₄×C₇	—	4	2	no	—
643	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
644	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
645	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
646	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
647	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
648	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
649	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
650	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
651	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
652	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
653	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
654	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
655	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
656	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
657	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
658	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
659	C₂×C₄×C₇	C₂×#41	1	2	yes	—
660	C₂×C₄×C₇	C₂×#41	1	2	yes	—
661	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
662	C₇⋊C₈	—	2	1	no	—
663	C₇⋊C₈	—	2	1	no	—
664	C₇⋊C₈	—	2	1	no	—
665	C₇⋊C₈	—	2	1	no	—
666	C₇⋊C₈	—	2	1	no	—
667	C₇⋊C₈	—	2	1	no	—
668	C₇⋊C₈	—	2	2	no	—
669	C₇⋊C₈	—	2	2	no	—
670	C₇⋊C₈	—	2	2	no	—
671	C₇⋊C₈	C₂×#41	1	2	yes	—
672	C₇⋊C₈	C₂×#41	1	4	yes	—
673	C₇⋊C₈	C₂×#41	1	2	yes	—
674	C₂×#41	C₂×Dic₇	1	2	yes	—
675	C₂×#41	C₂²×D₇	1	1	yes	characteristic
676	C₂²×D₄	C₂×Dic₇	1	1	yes	characteristic
677	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
678	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
679	#131	—	14	4	no	—
680	#131	—	14	4	no	—
681	C₂×M₁₆	—	7	1	no	—
682	C₂×M₁₆	—	7	1	no	—
683	C₂×M₁₆	—	7	1	no	—
684	C₂×M₁₆	—	7	2	no	—
685	C₂×M₁₆	—	7	1	no	—
686	C₂×M₁₆	—	7	1	no	—
687	C₂×M₁₆	—	7	1	no	—
688	C₂×M₁₆	—	7	2	no	—
689	C₂×M₁₆	—	7	1	no	—
690	C₂×M₁₆	—	7	1	no	—
691	C₂×M₁₆	—	7	2	no	—
692	C₂×M₁₆	—	7	2	no	—
693	C₂×M₁₆	—	14	4	no	—
694	C₂×M₁₆	—	14	4	no	—
695	C₂×M₁₆	—	14	4	no	—
696	C₂²×C₈	—	7	1	no	—
697	C₂²×C₈	—	7	1	no	—
698	C₂²×C₈	—	7	1	no	—
699	C₂²×C₈	—	7	1	no	—
700	C₂²×C₈	—	7	1	no	—
701	C₂²×C₈	—	7	1	no	—
702	C₂²×C₈	—	7	2	no	—
703	C₂²×C₈	—	7	1	no	—
704	C₂²×C₈	—	7	2	no	—
705	C₂²×C₈	—	7	1	no	—
706	C₂²×C₈	—	7	2	no	—
707	C₂²×C₈	—	7	2	no	—
708	C₂²×C₈	—	14	4	no	—
709	C₄⋊Q₈	C₂×Dic₇	1	1	yes	characteristic
710	C₄⋊Q₈	C₂×Dic₇	1	1	yes	characteristic
711	#126	C₂×Dic₇	1	2	yes	—
712	#126	C₂×Dic₇	1	2	yes	—
713	#126	C₂×Dic₇	1	2	yes	—
714	#126	C₂×Dic₇	1	2	yes	—
715	#126	C₂×Dic₇	1	2	yes	—
716	#126	C₂×Dic₇	1	2	yes	—
717	#125	C₂×Dic₇	1	2	yes	—
718	#125	C₂×Dic₇	1	2	yes	—
719	#125	C₂×Dic₇	1	2	yes	—
720	#125	C₂×Dic₇	1	1	yes	characteristic
721	#125	C₂×Dic₇	1	1	yes	characteristic
722	#124	C₂×Dic₇	1	2	yes	—
723	#124	C₂×Dic₇	1	2	yes	—
724	#124	C₂×Dic₇	1	2	yes	—
725	#123	C₂×Dic₇	1	2	yes	—
726	#123	C₂×Dic₇	1	2	yes	—
727	#123	C₂×Dic₇	1	2	yes	—
728	#123	C₂×Dic₇	1	2	yes	—
729	#123	C₂×Dic₇	1	2	yes	—
730	#123	C₂×Dic₇	1	2	yes	—
731	#123	C₂×Dic₇	1	2	yes	—
732	#123	C₂×Dic₇	1	2	yes	—
733	C₂²⋊Q₈	C₂×Dic₇	1	1	yes	characteristic
734	C₂²⋊Q₈	C₂×Dic₇	1	1	yes	characteristic
735	C₂²⋊Q₈	C₂×Dic₇	1	1	yes	characteristic
736	C₂²⋊Q₈	C₂×Dic₇	1	1	yes	characteristic
737	C₂²⋊Q₈	C₂×Dic₇	1	2	yes	—
738	C₂²⋊Q₈	C₂×Dic₇	1	2	yes	—
739	C₂²⋊Q₈	C₂×Dic₇	1	2	yes	—
740	C₂²⋊Q₈	C₂×Dic₇	1	2	yes	—
741	C₂²⋊Q₈	C₂×Dic₇	1	2	yes	—
742	#121	C₂×Dic₇	1	1	yes	characteristic
743	#121	C₂×Dic₇	1	1	yes	characteristic
744	#121	C₂×Dic₇	1	1	yes	characteristic
745	#121	C₂×Dic₇	1	1	yes	characteristic
746	#121	C₂×Dic₇	1	2	yes	—
747	#121	C₂×Dic₇	1	2	yes	—
748	#121	C₂×Dic₇	1	2	yes	—
749	#120	C₂×Dic₇	1	2	yes	—
750	#120	C₂×Dic₇	1	2	yes	—
751	C₄×Q₈	C₂×Dic₇	1	1	yes	characteristic
752	C₄×Q₈	C₂×Dic₇	1	2	yes	—
753	C₄×Q₈	C₂×Dic₇	1	1	yes	characteristic
754	C₄×Q₈	C₂²×D₇	1	2	yes	—
755	C₄×Q₈	C₂²×D₇	1	2	yes	—
756	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
757	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
758	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
759	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
760	C₄×D₄	C₂×Dic₇	1	2	yes	—
761	C₄×D₄	C₂×Dic₇	1	2	yes	—
762	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
763	C₄×D₄	C₂×Dic₇	1	2	yes	—
764	C₄×D₄	C₂×Dic₇	1	2	yes	—
765	C₄×D₄	C₂×Dic₇	1	2	yes	—
766	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
767	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
768	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
769	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
770	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
771	C₄×D₄	C₂²×D₇	1	2	yes	—
772	C₄×D₄	C₂²×D₇	1	2	yes	—
773	C₄×D₄	C₂²×D₇	1	2	yes	—
774	C₄×D₄	C₂²×D₇	1	2	yes	—
775	#117	C₂×Dic₇	1	2	yes	—
776	#117	C₂×Dic₇	1	2	yes	—
777	#117	C₂×Dic₇	1	1	yes	characteristic
778	#117	C₂×Dic₇	1	1	yes	characteristic
779	#117	C₂×Dic₇	1	1	yes	characteristic
780	#117	C₂×Dic₇	1	1	yes	characteristic
781	#117	C₂×Dic₇	1	2	yes	—
782	#117	C₂×Dic₇	1	2	yes	—
783	#117	C₂×Dic₇	1	2	yes	—
784	#117	C₂²×D₇	1	1	yes	characteristic
785	#117	C₂²×D₇	1	1	yes	characteristic
786	#117	C₂²×D₇	1	1	yes	characteristic
787	#117	C₂²×D₇	1	2	yes	—
788	#117	C₂²×D₇	1	2	yes	—
789	#117	C₂²×D₇	1	2	yes	—
790	C₂×C₄⋊C₄	C₂×Dic₇	1	1	yes	characteristic
791	C₂×C₄⋊C₄	C₂×Dic₇	1	1	yes	characteristic
792	C₂×C₄⋊C₄	C₂×Dic₇	1	1	yes	characteristic
793	C₂×C₄⋊C₄	C₂×Dic₇	1	1	yes	characteristic
794	C₂×C₄⋊C₄	C₂×Dic₇	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂×Dic₇	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂×Dic₇	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂×Dic₇	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	C₂×Dic₇	1	1	yes	characteristic
799	C₂×C₄²	C₂²×D₇	1	2	yes	—
800	C₂×C₄²	C₂²×D₇	1	2	yes	—
801	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
802	C₂×C₄²	C₂²×D₇	1	2	yes	—
803	C₄⋊C₈	—	7	1	no	—
804	C₄⋊C₈	—	7	1	no	—
805	C₄⋊C₈	—	7	1	no	—
806	C₄⋊C₈	—	7	1	no	—
807	C₄⋊C₈	—	7	2	no	—
808	C₄⋊C₈	—	7	2	no	—
809	C₄⋊C₈	—	7	2	no	—
810	C₄⋊C₈	—	7	2	no	—
811	C₄⋊C₈	—	7	2	no	—
812	C₄⋊C₈	—	7	2	no	—
813	C₄⋊C₈	—	7	2	no	—
814	C₄⋊C₈	—	7	2	no	—
815	C₄⋊C₈	—	7	2	no	—
816	C₄⋊C₈	—	7	2	no	—
817	C₂²⋊C₈	—	7	1	no	—
818	C₂²⋊C₈	—	7	1	no	—
819	C₂²⋊C₈	—	7	1	no	—
820	C₂²⋊C₈	—	7	1	no	—
821	C₂²⋊C₈	—	7	1	no	—
822	C₂²⋊C₈	—	7	1	no	—
823	C₂²⋊C₈	—	7	1	no	—
824	C₂²⋊C₈	—	7	1	no	—
825	C₂²⋊C₈	—	7	2	no	—
826	C₂²⋊C₈	—	7	2	no	—
827	C₂²⋊C₈	—	7	2	no	—
828	C₂²⋊C₈	—	7	2	no	—
829	C₂²⋊C₈	—	7	2	no	—
830	C₂²⋊C₈	—	7	2	no	—
831	C₂²⋊C₈	—	7	2	no	—
832	C₂²⋊C₈	—	7	2	no	—
833	#97	—	7	1	no	—
834	#97	—	7	2	no	—
835	#97	—	7	1	no	—
836	#97	—	7	2	no	—
837	#97	—	7	2	no	—
838	#97	—	7	2	no	—
839	#97	—	7	2	no	—
840	#97	—	7	1	no	—
841	#97	—	7	2	no	—
842	#97	—	7	1	no	—
843	#97	—	7	2	no	—
844	#97	—	7	2	no	—
845	#97	—	7	2	no	—
846	C₄×C₈	—	7	2	no	—
847	C₄×C₈	—	7	2	no	—
848	C₄×C₈	—	7	2	no	—
849	C₄×C₈	—	7	2	no	—
850	C₄×C₈	—	7	2	no	—
851	C₄×C₈	—	7	2	no	—
852	C₄×C₈	—	7	2	no	—
853	C₄×C₈	—	7	2	no	—
854	C₄×C₈	—	7	2	no	—
855	C₂²×C₇	—	2	1	no	—
856	C₂²×C₇	—	2	1	no	—
857	C₂²×C₇	—	2	1	no	—
858	C₂²×C₇	—	2	1	no	—
859	C₂²×C₇	—	2	1	no	—
860	C₂²×C₇	—	2	1	no	—
861	C₂²×C₇	—	2	1	no	—
862	C₂²×C₇	—	2	2	no	—
863	C₂²×C₇	—	2	1	no	—
864	C₂²×C₇	—	2	2	no	—
865	C₂²×C₇	—	2	1	no	—
866	C₂²×C₇	—	2	1	no	—
867	C₂²×C₇	—	2	1	no	—
868	C₂²×C₇	—	2	2	no	—
869	C₂²×C₇	—	2	1	no	—
870	C₂²×C₇	—	2	1	no	—
871	C₂²×C₇	—	4	4	no	—
872	C₂²×C₇	—	8	2	no	—
873	C₂²×C₇	C₄×#41	1	2	yes	—
874	C₂²×C₇	#568	1	2	yes	—
875	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
876	C₄×C₇	—	2	1	no	—
877	C₄×C₇	—	2	1	no	—
878	C₄×C₇	—	2	1	no	—
879	C₄×C₇	—	2	1	no	—
880	C₄×C₇	—	2	2	no	—
881	C₄×C₇	—	2	2	no	—
882	C₄×C₇	—	2	2	no	—
883	C₄×C₇	—	2	1	no	—
884	C₄×C₇	—	2	1	no	—
885	C₄×C₇	—	2	2	no	—
886	C₄×C₇	—	2	1	no	—
887	C₄×C₇	—	2	2	no	—
888	C₄×C₇	—	2	2	no	—
889	C₄×C₇	—	2	2	no	—
890	C₄×C₇	—	2	1	no	—
891	C₄×C₇	C₄×#41	1	2	yes	—
892	C₄×C₇	C₂²×#41	1	1	yes	characteristic
893	C₄×C₇	C₂²×#41	1	1	yes	characteristic
894	C₂⁴	C₂²×Dic₇	1	1	yes	characteristic
895	C₂⁴	C₂²×Dic₇	1	1	yes	characteristic
896	#41	—	2	2	no	—
897	#41	—	2	2	no	—
898	#41	—	4	4	no	—
899	C₂×Q₈	C₂²×Dic₇	1	1	yes	characteristic
900	C₂×Q₈	C₂²×Dic₇	1	2	yes	—
901	C₂×Q₈	C₂²×Dic₇	1	2	yes	—
902	C₂×D₄	—	4	2	no	—
903	C₂×D₄	C₂²×Dic₇	1	1	yes	characteristic
904	C₂×D₄	C₂²×Dic₇	1	2	yes	—
905	C₂×D₄	C₂²×Dic₇	1	1	yes	characteristic
906	C₂×D₄	C₂²×Dic₇	1	2	yes	—
907	C₂×D₄	C₂²×Dic₇	1	1	yes	characteristic
908	C₂×D₄	C₂²×Dic₇	1	2	yes	—
909	C₂×D₄	C₂²×Dic₇	1	1	yes	characteristic
910	C₂×D₄	C₂²×Dic₇	1	1	yes	characteristic
911	C₂×D₄	C₂²×Dic₇	1	2	yes	—
912	C₂×D₄	C₂²×Dic₇	1	2	yes	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	C₂²×Dic₇	1	2	yes	—
918	C₂²×C₄	C₂²×Dic₇	1	1	yes	characteristic
919	C₂²×C₄	C₂²×Dic₇	1	1	yes	characteristic
920	C₂²×C₄	C₂²×Dic₇	1	1	yes	characteristic
921	C₂²×C₄	C₂²×Dic₇	1	1	yes	characteristic
922	C₂²×C₄	C₂²×Dic₇	1	1	yes	characteristic
923	C₂²×C₄	C₂²×Dic₇	1	1	yes	characteristic
924	C₂²×C₄	C₂²×Dic₇	1	1	yes	characteristic
925	C₂²×C₄	C₂²×Dic₇	1	2	yes	—
926	C₂²×C₄	C₂²×Dic₇	1	2	yes	—
927	C₂²×C₄	C₂²×Dic₇	1	2	yes	—
928	C₂²×C₄	C₂²×Dic₇	1	1	yes	characteristic
929	C₂²×C₄	C₂²×Dic₇	1	2	yes	—
930	C₂²×C₄	C₂²×Dic₇	1	2	yes	—
931	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
932	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
933	C₂²×C₄	C₂³×D₇	1	2	yes	—
934	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
935	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
936	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
937	M₁₆	—	7	4	no	—
938	M₁₆	—	14	2	no	—
939	M₁₆	—	14	2	no	—
940	M₁₆	—	14	2	no	—
941	M₁₆	—	14	2	no	—
942	M₁₆	—	14	4	no	—
943	M₁₆	—	14	4	no	—
944	M₁₆	—	14	4	no	—
945	M₁₆	—	14	4	no	—
946	M₁₆	—	14	2	no	—
947	M₁₆	—	14	2	no	—
948	M₁₆	—	14	2	no	—
949	C₂×C₈	—	7	4	no	—
950	C₂×C₈	—	7	1	no	—
951	C₂×C₈	—	7	2	no	—
952	C₂×C₈	—	7	1	no	—
953	C₂×C₈	—	7	1	no	—
954	C₂×C₈	—	7	2	no	—
955	C₂×C₈	—	7	1	no	—
956	C₂×C₈	—	7	1	no	—
957	C₂×C₈	—	7	2	no	—
958	C₂×C₈	—	7	2	no	—
959	C₂×C₈	—	7	1	no	—
960	C₂×C₈	—	7	1	no	—
961	C₂×C₈	—	7	1	no	—
962	C₂×C₈	—	14	2	no	—
963	C₂×C₈	—	14	2	no	—
964	C₂×C₈	—	14	2	no	—
965	C₂×C₈	—	14	2	no	—
966	C₂×C₈	—	14	4	no	—
967	C₂×C₈	—	14	4	no	—
968	C₂×C₈	—	14	4	no	—
969	C₂×C₈	—	14	4	no	—
970	C₂×C₈	—	14	2	no	—
971	C₂×C₈	—	14	2	no	—
972	C₂×C₈	—	14	2	no	—
973	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
974	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
975	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
976	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
977	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
978	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
979	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
980	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
981	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
982	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
983	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
984	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
985	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
986	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
987	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
988	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
989	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
990	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
991	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
992	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
993	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
994	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
995	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
996	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
997	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
998	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
999	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1000	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
1001	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
1002	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1003	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1004	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1005	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1006	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1007	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1008	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
1009	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
1010	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
1011	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
1012	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
1013	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
1014	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1015	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1016	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1017	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1018	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1019	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1020	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1021	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1022	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1023	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1024	C₄²	C₂²×Dic₇	1	2	yes	—
1025	C₄²	C₂²×Dic₇	1	2	yes	—
1026	C₄²	C₂²×Dic₇	1	2	yes	—
1027	C₄²	C₂²×Dic₇	1	2	yes	—
1028	C₄²	C₂²×Dic₇	1	2	yes	—
1029	C₄²	C₂²×Dic₇	1	1	yes	characteristic
1030	C₄²	C₂²×Dic₇	1	1	yes	characteristic
1031	C₄²	C₂²×Dic₇	1	2	yes	—
1032	C₄²	C₂³×D₇	1	2	yes	—
1033	C₄²	C₂³×D₇	1	1	yes	characteristic
1034	C₄²	C₂³×D₇	1	2	yes	—
1035	C₄²	C₂³×D₇	1	2	yes	—
1036	C₄²	C₂³×D₇	1	1	yes	characteristic
1037	C₂×C₇	—	2	2	no	—
1038	C₂×C₇	—	2	2	no	—
1039	C₂×C₇	—	4	2	no	—
1040	C₂×C₇	—	4	1	no	—
1041	C₂×C₇	—	4	1	no	—
1042	C₂×C₇	—	4	1	no	—
1043	C₂×C₇	C₂×C₄×#41	1	1	yes	characteristic
1044	C₂×C₇	C₂×#568	1	1	yes	characteristic
1045	C₂×C₇	#3573	1	1	yes	characteristic
1046	C₂³	—	2	2	no	—
1047	C₂³	—	2	2	no	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	4	1	no	—
1050	C₂³	—	4	1	no	—
1051	C₂³	—	4	1	no	—
1052	C₂³	C₂³×Dic₇	1	1	yes	characteristic
1053	C₂³	C₂³×Dic₇	1	1	yes	characteristic
1054	C₂³	C₂³×Dic₇	1	2	yes	—
1055	C₂³	C₂³×Dic₇	1	1	yes	characteristic
1056	C₂³	C₂³×Dic₇	1	1	yes	characteristic
1057	C₂³	C₂³×Dic₇	1	1	yes	characteristic
1058	Q₈	—	2	2	no	—
1059	Q₈	—	4	2	no	—
1060	Q₈	—	4	2	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	2	2	no	—
1063	D₄	—	2	4	no	—
1064	D₄	—	2	4	no	—
1065	D₄	—	2	2	no	—
1066	D₄	—	4	1	no	—
1067	D₄	—	4	1	no	—
1068	D₄	—	4	2	no	—
1069	D₄	—	4	2	no	—
1070	D₄	—	4	2	no	—
1071	C₂×C₄	—	2	4	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	4	2	no	—
1089	C₂×C₄	—	4	2	no	—
1090	C₂×C₄	—	4	2	no	—
1091	C₂×C₄	—	4	1	no	—
1092	C₂×C₄	—	4	1	no	—
1093	C₂×C₄	—	4	2	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	D₇×#41	1	2	yes	—
1096	C₂×C₄	D₇×#41	1	2	yes	—
1097	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1098	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1099	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1100	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1101	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1102	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1103	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1104	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1105	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1106	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1107	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1108	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1109	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1110	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1111	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1112	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1113	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1114	C₈	—	7	2	no	—
1115	C₈	—	7	2	no	—
1116	C₈	—	7	4	no	—
1117	C₈	—	14	1	no	—
1118	C₈	—	14	1	no	—
1119	C₈	—	14	1	no	—
1120	C₈	—	14	2	no	—
1121	C₈	—	14	2	no	—
1122	C₈	—	14	2	no	—
1123	C₈	—	14	1	no	—
1124	C₈	—	14	1	no	—
1125	C₈	—	14	1	no	—
1126	C₇	#60216	1	1	yes	characteristic, complemented, Sylow
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	1	no	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	2	no	—
1139	C₂²	—	2	1	no	—
1140	C₂²	—	2	2	no	—
1141	C₂²	—	2	1	no	—
1142	C₂²	—	2	1	no	—
1143	C₂²	—	4	4	no	—
1144	C₂²	—	8	2	no	—
1145	C₂²	#90510	1	2	yes	—
1146	C₂²	#41×Dic₇	1	2	yes	—
1147	C₂²	C₂⁴×Dic₇	1	1	yes	characteristic
1148	C₄	—	2	2	no	—
1149	C₄	—	2	2	no	—
1150	C₄	—	2	1	no	—
1151	C₄	—	2	1	no	—
1152	C₄	—	2	2	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	2	1	no	—
1155	C₄	—	2	1	no	—
1156	C₄	—	2	1	no	—
1157	C₄	—	2	2	no	—
1158	C₄	—	2	1	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	1	no	—
1163	C₄	#41×Dic₇	1	2	yes	—
1164	C₄	C₂×D₇×#41	1	1	yes	characteristic
1165	C₄	C₂×D₇×#41	1	1	yes	characteristic
1166	C₂	—	2	2	no	—
1167	C₂	—	2	2	no	—
1168	C₂	—	4	1	no	—
1169	C₂	—	4	1	no	—
1170	C₂	—	4	1	no	—
1171	C₂	—	4	2	no	—
1172	C₂	C₂×#90510	1	1	yes	characteristic
1173	C₂	C₂×#41×Dic₇	1	1	yes	characteristic
1174	C₂	#11744364	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting, prime radical	C₇×#3475	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#3475	D₇
hypocenter	C₇	#60216
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #3475

Complements

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

N	H ≅ G/N	type
2. #11740775	C₂	semidirect
3. #11740774	C₂	semidirect
4. #11740574	C₂	semidirect
5. #11740573	C₂	semidirect
6. #11740573	C₂	semidirect
7. #11740572	C₂	semidirect
8. #11740572	C₂	semidirect
9. #11740571	C₂	semidirect
10. #11740363	C₂	semidirect
11. #11740363	C₂	semidirect
12. #11740362	C₂	semidirect
13. #11740361	C₂	semidirect
14. #11739963	C₂	semidirect
15. #11739962	C₂	semidirect
16. #11739960	C₂	semidirect
17. #11739956	C₂	semidirect
18. D₄×#1136	C₂	semidirect
19. C₂×#89783	C₂	semidirect
20. #11739655	C₂	semidirect
21. #11739655	C₂	semidirect
22. #11739647	C₂	semidirect
23. C₂×#89769	C₂	semidirect
59. #89796	C₂²	semidirect
60. #89796	C₂²	semidirect
61. #89796	C₂²	semidirect
62. #89796	C₂²	semidirect
63. #89796	C₂²	semidirect
64. #89796	C₂²	semidirect
65. #89796	C₂²	semidirect
66. Q₈×C₇⋊C₈	C₂²	semidirect
68. #89784	C₂²	semidirect
69. #89784	C₂²	semidirect
70. #89784	C₂²	semidirect
71. #89784	C₂²	semidirect
82. #89783	C₂²	semidirect
83. #89783	C₂²	semidirect
84. #89783	C₂²	semidirect
85. #89783	C₂²	semidirect
86. #89783	C₂²	semidirect
87. #89783	C₂²	semidirect
88. #89783	C₂²	semidirect
89. #89783	C₂²	semidirect
91. D₄×C₇⋊C₈	C₂²	semidirect
92. D₄×C₇⋊C₈	C₂²	semidirect
93. D₄×C₇⋊C₈	C₂²	semidirect
94. D₄×C₇⋊C₈	C₂²	semidirect
95. #89772	C₂²	semidirect
96. #89772	C₂²	semidirect
97. #89772	C₂²	semidirect
98. #89772	C₂²	semidirect
99. #89772	C₂²	semidirect
100. #89772	C₂²	semidirect
113. #89769	C₂²	semidirect
114. #89769	C₂²	semidirect
115. #89769	C₂²	semidirect
116. #89769	C₂²	semidirect
117. #89769	C₂²	semidirect
118. #89769	C₂²	semidirect
119. #89698	C₂²	semidirect
120. #89698	C₂²	semidirect
121. #89698	C₂²	semidirect
122. #89697	C₂²	semidirect
123. #89697	C₂²	semidirect
124. #89697	C₂²	semidirect
128. C₄×#1136	C₂²	semidirect
129. C₄×#1136	C₂²	semidirect
130. C₄×#1136	C₂²	semidirect
132. C₂×#6377	C₂²	semidirect
133. C₂×#6377	C₂²	semidirect
134. C₂×C₄×C₇⋊C₈	C₂²	semidirect
458. #1136	#41	semidirect
470. C₂×C₇⋊C₈	#41	semidirect
1126. C₇	#60216	semidirect

Maximal subgroups

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

subgroup	index
C₇×#3475	2
#11740775	2
#11740774	2
#11740574	2
#11740573	2
#11740572	2
#11740571	2
#11740363	2
#11740362	2
#11740361	2
#11739963	2
#11739962	2
#11739960	2
#11739956	2
D₄×#1136	2
C₂×#89783	2
#11739655	2
#11739647	2
C₂×#89769	2
#60216	7