Subgroups — #14219788

Order 1792.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1170 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3460	C₂	1	1	yes	maximal, characteristic
2	#11740725	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740724	C₂	1	2	yes	maximal, complemented
4	#11740723	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740722	C₂	1	1	yes	maximal, characteristic, complemented
6	#11740722	C₂	1	2	yes	maximal, complemented
7	#11740720	C₂	1	1	yes	maximal, characteristic, complemented
8	#11740577	C₂	1	1	yes	maximal, characteristic, complemented
9	#11740576	C₂	1	1	yes	maximal, characteristic, complemented
10	#11740575	C₂	1	2	yes	maximal, complemented
11	#11740574	C₂	1	1	yes	maximal, characteristic, complemented
12	#11740572	C₂	1	2	yes	maximal, complemented
13	#11740571	C₂	1	1	yes	maximal, characteristic, complemented
14	#11740366	C₂	1	2	yes	maximal, complemented
15	#11740364	C₂	1	2	yes	maximal, complemented
16	#11740363	C₂	1	2	yes	maximal, complemented
17	#11740362	C₂	1	2	yes	maximal, complemented
18	#11739967	C₂	1	1	yes	maximal, characteristic, complemented
19	#11739966	C₂	1	1	yes	maximal, characteristic, complemented
20	#11739964	C₂	1	1	yes	maximal, characteristic, complemented
21	#11739962	C₂	1	1	yes	maximal, characteristic, complemented
22	#11739748	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×#1136	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#544	C₄	1	1	yes	characteristic
25	C₇×#542	C₄	1	1	yes	characteristic
26	C₇×#542	C₄	1	1	yes	characteristic
27	C₇×#542	C₄	1	2	yes	—
28	C₇×#540	C₄	1	1	yes	characteristic
29	C₇×#540	C₄	1	1	yes	characteristic
30	C₇×#540	C₄	1	2	yes	—
31	C₇×#538	C₄	1	2	yes	—
32	C₇×#538	C₄	1	2	yes	—
33	C₇×#537	C₄	1	1	yes	characteristic
34	C₇×#535	C₄	1	1	yes	characteristic
35	C₇×#535	C₄	1	1	yes	characteristic
36	C₇×#532	C₂²	1	1	yes	characteristic
37	C₇×#532	C₂²	1	1	yes	characteristic
38	C₇×#532	C₂²	1	2	yes	—
39	C₇×#529	C₂²	1	1	yes	characteristic
40	C₇×#529	C₂²	1	2	yes	—
41	C₇×#529	C₂²	1	1	yes	characteristic
42	C₇×#525	C₂²	1	2	yes	—
43	C₇×#525	C₂²	1	2	yes	—
44	C₄×C₇×#41	C₂²	1	1	yes	characteristic
45	C₄×C₇×#41	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
47	C₂×#6511	C₂²	1	2	yes	complemented
48	C₂×#6511	C₂²	1	2	yes	complemented
49	C₂²×#1136	C₂²	1	2	yes	—
50	#90006	C₂²	1	2	yes	complemented
51	#90006	C₂²	1	2	yes	complemented
52	#90006	C₂²	1	2	yes	complemented
53	#90006	C₂²	1	2	yes	complemented
54	#90006	C₂²	1	2	yes	complemented
55	#90006	C₂²	1	2	yes	complemented
56	#89979	C₂²	1	2	yes	—
57	#89979	C₂²	1	2	yes	—
58	C₂×C₂²⋊(C₇⋊C₈)	C₂²	1	2	yes	—
59	#89796	C₂²	1	1	yes	characteristic, complemented
60	#89796	C₂²	1	1	yes	characteristic, complemented
61	#89796	C₂²	1	2	yes	complemented
62	#89796	C₂²	1	1	yes	characteristic, complemented
63	#89796	C₂²	1	1	yes	characteristic, complemented
64	Q₈×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
65	Q₈×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
66	#89784	C₂²	1	1	yes	characteristic
67	#89784	C₂²	1	1	yes	characteristic
68	#89784	C₂²	1	1	yes	characteristic
69	#89784	C₂²	1	1	yes	characteristic
70	#89784	C₂²	1	1	yes	characteristic
71	#89784	C₂²	1	1	yes	characteristic
72	#89784	C₂²	1	2	yes	—
73	#89784	C₂²	1	2	yes	—
74	#89784	C₂²	1	2	yes	—
75	#89784	C₂²	1	1	yes	characteristic, complemented
76	#89784	C₂²	1	2	yes	complemented
77	#89784	C₂²	1	2	yes	complemented
78	#89784	C₂²	1	2	yes	complemented
79	#89784	C₂²	1	1	yes	characteristic, complemented
80	#89784	C₂²	1	2	yes	complemented
81	#89783	C₂²	1	2	yes	—
82	#89783	C₂²	1	2	yes	—
83	#89783	C₂²	1	2	yes	—
84	#89783	C₂²	1	2	yes	—
85	#89783	C₂²	1	1	yes	characteristic
86	#89783	C₂²	1	1	yes	characteristic
87	#89783	C₂²	1	2	yes	—
88	#89783	C₂²	1	2	yes	—
89	#89783	C₂²	1	2	yes	—
90	#89783	C₂²	1	1	yes	characteristic, complemented
91	#89783	C₂²	1	2	yes	complemented
92	#89783	C₂²	1	2	yes	complemented
93	#89783	C₂²	1	2	yes	complemented
94	#89783	C₂²	1	1	yes	characteristic, complemented
95	#89783	C₂²	1	2	yes	complemented
96	#89783	C₂²	1	2	yes	complemented
97	#89783	C₂²	1	2	yes	complemented
98	#89783	C₂²	1	2	yes	complemented
99	#89783	C₂²	1	2	yes	complemented
100	#89783	C₂²	1	2	yes	complemented
101	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
102	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
103	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
104	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
105	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
106	D₄×C₇⋊C₈	C₂²	1	2	yes	complemented
107	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
108	D₄×C₇⋊C₈	C₂²	1	2	yes	complemented
109	D₄×C₇⋊C₈	C₂²	1	2	yes	complemented
110	D₄×C₇⋊C₈	C₂²	1	2	yes	complemented
111	#89772	C₂²	1	2	yes	complemented
112	#89772	C₂²	1	2	yes	complemented
113	#89772	C₂²	1	2	yes	complemented
114	#89772	C₂²	1	2	yes	complemented
115	#89771	C₂²	1	2	yes	complemented
116	#89771	C₂²	1	2	yes	complemented
117	#89769	C₂²	1	2	yes	complemented
118	#89769	C₂²	1	2	yes	complemented
119	#89698	C₂²	1	1	yes	characteristic
120	#89698	C₂²	1	2	yes	complemented
121	#89698	C₂²	1	2	yes	complemented
122	#89698	C₂²	1	1	yes	characteristic, complemented
123	#89697	C₂²	1	1	yes	characteristic
124	#89697	C₂²	1	1	yes	characteristic, complemented
125	#89697	C₂²	1	1	yes	characteristic, complemented
126	#89697	C₂²	1	1	yes	characteristic, complemented
127	#89696	C₂²	1	1	yes	characteristic
128	#89696	C₂²	1	1	yes	characteristic, complemented
129	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	2	yes	complemented
131	C₄×#1136	C₂²	1	1	yes	characteristic
132	C₄×#1136	C₂²	1	1	yes	characteristic, complemented
133	C₄×#1136	C₂²	1	2	yes	complemented
134	C₂×C₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
135	#60326	—	7	1	no	maximal, Sylow
136	C₂×C₇×#41	C₂×C₄	1	1	yes	characteristic
137	C₂×C₇×#41	C₂×C₄	1	1	yes	characteristic
138	C₂×C₇×#41	C₂³	1	2	yes	—
139	C₂×C₇×#41	C₂³	1	2	yes	—
140	C₂²×C₇×D₄	C₂×C₄	1	1	yes	characteristic
141	C₂³×C₄×C₇	C₂³	1	2	yes	—
142	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
143	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
144	C₇×C₄⋊Q₈	C₂×C₄	1	2	yes	—
145	C₇×#127	C₂×C₄	1	1	yes	characteristic
146	C₇×#127	C₂×C₄	1	1	yes	characteristic
147	C₇×#127	C₂×C₄	1	2	yes	—
148	C₇×#126	C₂×C₄	1	2	yes	—
149	C₇×#126	C₂×C₄	1	2	yes	—
150	C₇×#126	C₂×C₄	1	2	yes	—
151	C₇×#126	C₂×C₄	1	2	yes	—
152	C₇×#125	C₂×C₄	1	1	yes	characteristic
153	C₇×#125	C₂×C₄	1	2	yes	—
154	C₇×#125	C₂×C₄	1	1	yes	characteristic
155	C₇×#124	C₂×C₄	1	1	yes	characteristic
156	C₇×#124	C₂×C₄	1	1	yes	characteristic
157	C₇×#124	C₂×C₄	1	2	yes	—
158	C₇×#124	C₂×C₄	1	2	yes	—
159	C₇×#124	C₂×C₄	1	2	yes	—
160	C₇×#124	C₂×C₄	1	2	yes	—
161	C₇×#124	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×#123	C₂×C₄	1	2	yes	—
166	C₇×#123	C₂×C₄	1	2	yes	—
167	C₇×#123	C₂×C₄	1	2	yes	—
168	C₇×#123	C₂×C₄	1	2	yes	—
169	C₇×#123	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×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
175	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
176	C₇×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
177	C₇×#121	C₂×C₄	1	2	yes	—
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×#121	C₂×C₄	1	1	yes	characteristic
182	C₇×#121	C₂×C₄	1	1	yes	characteristic
183	C₇×#121	C₂×C₄	1	2	yes	—
184	C₇×#121	C₂×C₄	1	1	yes	characteristic
185	C₇×#121	C₂×C₄	1	1	yes	characteristic
186	C₇×#121	C₂×C₄	1	2	yes	—
187	C₇×#121	C₂×C₄	1	1	yes	characteristic
188	C₇×#121	C₂×C₄	1	1	yes	characteristic
189	C₇×#121	C₂×C₄	1	2	yes	—
190	C₇×#121	C₂×C₄	1	2	yes	—
191	C₇×#121	C₂×C₄	1	2	yes	—
192	C₇×#121	C₂×C₄	1	2	yes	—
193	C₇×#121	C₂×C₄	1	2	yes	—
194	C₇×#120	C₂×C₄	1	2	yes	—
195	C₇×#120	C₂×C₄	1	2	yes	—
196	C₇×#120	C₂×C₄	1	2	yes	—
197	C₇×#120	C₂×C₄	1	2	yes	—
198	C₄×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
199	C₄×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
200	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
201	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
202	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
203	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
204	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
205	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
206	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
207	C₄×C₇×D₄	C₂×C₄	1	2	yes	—
208	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
209	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
210	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
211	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
212	C₄×C₇×D₄	C₂³	1	2	yes	—
213	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
214	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
215	C₄×C₇×D₄	C₂³	1	2	yes	—
216	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
217	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
218	C₄×C₇×D₄	C₂³	1	2	yes	—
219	C₄×C₇×D₄	C₂³	1	2	yes	—
220	C₄×C₇×D₄	C₂³	1	2	yes	—
221	C₄×C₇×D₄	C₂³	1	2	yes	—
222	C₇×#117	C₂×C₄	1	1	yes	characteristic
223	C₇×#117	C₂×C₄	1	1	yes	characteristic
224	C₇×#117	C₂×C₄	1	1	yes	characteristic
225	C₇×#117	C₂×C₄	1	1	yes	characteristic
226	C₇×#117	C₂×C₄	1	2	yes	—
227	C₇×#117	C₂³	1	2	yes	—
228	C₇×#117	C₂³	1	2	yes	—
229	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
230	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	2	yes	—
231	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₇	C₂³	1	2	yes	—
235	#6511	—	4	4	no	—
236	#6511	—	4	4	no	—
237	C₂×#1136	—	4	4	no	—
238	C₂×#1136	C₂³	1	1	yes	characteristic
239	C₂×#1136	C₂³	1	1	yes	characteristic
240	C₂×#1136	C₂³	1	2	yes	—
241	C₂×#1136	C₂³	1	2	yes	—
242	C₂×#1136	C₂³	1	1	yes	characteristic
243	C₂×#1136	C₂³	1	1	yes	characteristic
244	C₂×#1136	C₂³	1	2	yes	—
245	C₂×#1136	C₂³	1	2	yes	—
246	C₂×#1136	C₂³	1	2	yes	—
247	C₂×#1136	C₂³	1	2	yes	—
248	C₂×#1136	C₂³	1	2	yes	—
249	C₂×#1136	C₂³	1	2	yes	—
250	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
251	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
252	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
253	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
254	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
255	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
256	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
272	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
273	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
274	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
275	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
276	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
277	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
278	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
279	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
280	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
281	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
282	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
283	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
284	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
285	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
286	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
287	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
288	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
289	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
290	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
291	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
292	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
293	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
294	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
295	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
296	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
297	#6377	C₂³	1	1	yes	characteristic
298	#6377	C₂³	1	1	yes	characteristic
299	#6377	C₂³	1	2	yes	—
300	#6377	C₂³	1	1	yes	characteristic
301	#6377	C₂³	1	1	yes	characteristic
302	#6377	C₂³	1	2	yes	—
303	#6377	C₂³	1	2	yes	—
304	#6377	C₂³	1	2	yes	—
305	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
306	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
307	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
308	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
309	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
310	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
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	#3460	D₇	1	1	yes	characteristic
315	#2994	—	7	1	no	—
316	#2993	—	7	1	no	—
317	#2992	—	7	2	no	—
318	#2990	—	7	1	no	—
319	#2989	—	7	1	no	—
320	#2981	—	7	1	no	—
321	#2980	—	7	2	no	—
322	#2979	—	7	1	no	—
323	#2978	—	7	2	no	—
324	#2976	—	7	2	no	—
325	#2974	—	7	1	no	—
326	#2971	—	7	1	no	—
327	#2969	—	7	1	no	—
328	#2967	—	7	2	no	—
329	#2966	—	7	1	no	—
330	#2965	—	7	1	no	—
331	#2935	—	7	1	no	—
332	#2935	—	7	2	no	—
333	D₄×M₁₆	—	7	1	no	—
334	#2933	—	7	2	no	—
335	#2931	—	7	1	no	—
336	#2930	—	7	2	no	—
337	C₂⁴×C₇	C₂²×C₄	1	2	yes	—
338	C₇×#41	—	4	2	no	—
339	C₇×#41	—	4	2	no	—
340	C₇×#41	—	4	2	no	—
341	C₇×#41	—	4	2	no	—
342	C₇×#41	—	4	2	no	—
343	C₇×#41	—	4	2	no	—
344	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
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	1	yes	characteristic
351	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
352	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
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	2	yes	—
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	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
360	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
361	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
362	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
363	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
364	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
365	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
366	C₂×C₇×D₄	C₂²×C₄	1	2	yes	—
367	C₂²×C₄×C₇	—	4	2	no	—
368	C₂²×C₄×C₇	—	4	2	no	—
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	1	yes	characteristic
372	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
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	1	yes	characteristic
376	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
377	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
378	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
379	C₂²×C₄×C₇	C₂²×C₄	1	2	yes	—
380	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
383	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
384	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
385	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
386	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
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	1	yes	characteristic
391	C₇×C₄⋊C₄	C₂²×C₄	1	2	yes	—
392	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
393	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
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	1	yes	characteristic
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×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
408	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
409	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
410	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
411	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
412	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
413	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
414	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
415	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
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	2	yes	—
421	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
422	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
423	C₇×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
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	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
433	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
434	C₄²×C₇	C₂²×C₄	1	2	yes	—
435	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
436	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
437	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
438	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
439	C₄²×C₇	C₂²×C₄	1	2	yes	—
440	C₄²×C₇	C₂⁴	1	1	yes	characteristic
441	C₄²×C₇	C₂⁴	1	1	yes	characteristic
442	C₄²×C₇	C₂⁴	1	1	yes	characteristic
443	C₄²×C₇	C₂⁴	1	1	yes	characteristic
444	C₄²×C₇	C₂⁴	1	2	yes	—
445	#1136	—	2	2	no	—
446	#1136	—	2	4	no	—
447	#1136	—	2	2	no	—
448	#1136	—	2	4	no	—
449	#1136	—	4	2	no	—
450	#1136	—	4	2	no	—
451	#1136	—	4	1	no	—
452	#1136	—	4	2	no	—
453	#1136	—	4	1	no	—
454	#1136	—	4	2	no	—
455	#1136	—	4	2	no	—
456	#1136	—	4	2	no	—
457	C₂×C₇⋊C₈	—	2	4	no	—
458	C₂×C₇⋊C₈	—	2	2	no	—
459	C₂×C₇⋊C₈	—	4	2	no	—
460	C₂×C₇⋊C₈	—	4	1	no	—
461	C₂×C₇⋊C₈	—	4	2	no	—
462	C₂×C₇⋊C₈	—	4	2	no	—
463	C₂×C₇⋊C₈	—	4	2	no	—
464	C₂×C₇⋊C₈	—	4	2	no	—
465	C₂×C₇⋊C₈	—	4	2	no	—
466	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
467	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
468	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
469	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
470	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
471	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
472	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
473	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
474	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
475	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
476	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
477	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
478	C₂×#131	—	7	2	no	—
479	C₂×#131	—	7	2	no	—
480	C₂²×M₁₆	—	7	2	no	—
481	#544	Dic₇	1	1	yes	characteristic
482	#542	Dic₇	1	1	yes	characteristic
483	#542	Dic₇	1	1	yes	characteristic
484	#542	Dic₇	1	2	yes	—
485	#540	Dic₇	1	1	yes	characteristic
486	#540	Dic₇	1	1	yes	characteristic
487	#540	Dic₇	1	2	yes	—
488	#538	Dic₇	1	2	yes	—
489	#538	Dic₇	1	2	yes	—
490	#537	Dic₇	1	1	yes	characteristic
491	#535	Dic₇	1	1	yes	characteristic
492	#535	Dic₇	1	1	yes	characteristic
493	#532	C₂×D₇	1	1	yes	characteristic
494	#532	C₂×D₇	1	1	yes	characteristic
495	#532	C₂×D₇	1	2	yes	—
496	#529	C₂×D₇	1	1	yes	characteristic
497	#529	C₂×D₇	1	2	yes	—
498	#529	C₂×D₇	1	1	yes	characteristic
499	#525	C₂×D₇	1	2	yes	—
500	#525	C₂×D₇	1	2	yes	—
501	C₄×#41	C₂×D₇	1	1	yes	characteristic
502	C₄×#41	C₂×D₇	1	1	yes	characteristic
503	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
504	#446	—	7	1	no	—
505	#446	—	7	1	no	—
506	#446	—	7	1	no	—
507	#446	—	7	2	no	—
508	#446	—	7	1	no	—
509	C₈×Q₈	—	7	1	no	—
510	C₈×Q₈	—	7	1	no	—
511	#436	—	7	1	no	—
512	#436	—	7	2	no	—
513	#436	—	7	2	no	—
514	#436	—	7	2	no	—
515	#436	—	7	1	no	—
516	#436	—	7	1	no	—
517	#436	—	7	2	no	—
518	#436	—	7	1	no	—
519	#436	—	7	1	no	—
520	#436	—	7	2	no	—
521	#436	—	7	1	no	—
522	#436	—	7	1	no	—
523	#436	—	7	2	no	—
524	#436	—	7	2	no	—
525	#436	—	7	1	no	—
526	#435	—	7	2	no	—
527	#435	—	7	2	no	—
528	#435	—	7	2	no	—
529	#435	—	7	2	no	—
530	#435	—	7	1	no	—
531	#435	—	7	2	no	—
532	#435	—	7	2	no	—
533	#435	—	7	2	no	—
534	#435	—	7	2	no	—
535	#435	—	7	2	no	—
536	#435	—	7	1	no	—
537	#435	—	7	2	no	—
538	#435	—	7	2	no	—
539	#435	—	7	2	no	—
540	#435	—	7	1	no	—
541	#435	—	7	1	no	—
542	#435	—	7	2	no	—
543	#435	—	7	2	no	—
544	#435	—	7	2	no	—
545	#435	—	7	2	no	—
546	C₈×D₄	—	7	1	no	—
547	C₈×D₄	—	7	2	no	—
548	C₈×D₄	—	7	1	no	—
549	C₈×D₄	—	7	2	no	—
550	C₈×D₄	—	7	2	no	—
551	C₈×D₄	—	7	1	no	—
552	C₈×D₄	—	7	1	no	—
553	C₈×D₄	—	7	2	no	—
554	C₈×D₄	—	7	1	no	—
555	C₈×D₄	—	7	1	no	—
556	#433	—	7	2	no	—
557	#433	—	7	2	no	—
558	#433	—	7	2	no	—
559	#433	—	7	2	no	—
560	#432	—	7	1	no	—
561	#432	—	7	1	no	—
562	#432	—	7	2	no	—
563	#432	—	7	2	no	—
564	#431	—	7	1	no	—
565	#431	—	7	1	no	—
566	#431	—	7	1	no	—
567	#431	—	7	1	no	—
568	#424	—	7	2	no	—
569	#424	—	7	2	no	—
570	#423	—	7	1	no	—
571	#423	—	7	1	no	—
572	C₂×C₄⋊C₈	—	7	1	no	—
573	C₂×C₄⋊C₈	—	7	2	no	—
574	#408	—	7	2	no	—
575	#408	—	7	2	no	—
576	#408	—	7	2	no	—
577	#408	—	7	2	no	—
578	#408	—	7	2	no	—
579	#408	—	7	2	no	—
580	#407	—	7	2	no	—
581	#407	—	7	2	no	—
582	C₂×C₂²⋊C₈	—	7	2	no	—
583	#405	—	7	2	no	—
584	#405	—	7	2	no	—
585	C₄×M₁₆	—	7	1	no	—
586	C₄×M₁₆	—	7	1	no	—
587	C₄×M₁₆	—	7	2	no	—
588	C₂×C₄×C₈	—	7	1	no	—
589	C₂³×C₇	—	4	2	no	—
590	C₂³×C₇	—	4	2	no	—
591	C₂³×C₇	—	4	2	no	—
592	C₂³×C₇	C₂³×C₄	1	2	yes	—
593	C₂³×C₇	C₂³×C₄	1	2	yes	—
594	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
595	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
596	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
597	C₂³×C₇	C₂³×C₄	1	2	yes	—
598	C₇×Q₈	—	2	2	no	—
599	C₇×Q₈	—	4	2	no	—
600	C₇×Q₈	—	4	2	no	—
601	C₇×Q₈	—	4	1	no	—
602	C₇×D₄	—	2	2	no	—
603	C₇×D₄	—	2	2	no	—
604	C₇×D₄	—	2	2	no	—
605	C₇×D₄	—	4	2	no	—
606	C₇×D₄	—	4	2	no	—
607	C₇×D₄	—	4	2	no	—
608	C₇×D₄	—	4	2	no	—
609	C₇×D₄	—	4	2	no	—
610	C₇×D₄	—	4	2	no	—
611	C₇×D₄	—	4	2	no	—
612	C₇×D₄	—	4	2	no	—
613	C₇×D₄	—	4	2	no	—
614	C₇×D₄	—	4	2	no	—
615	C₇×D₄	—	4	2	no	—
616	C₇×D₄	—	4	1	no	—
617	C₇×D₄	—	4	1	no	—
618	C₇×D₄	—	4	1	no	—
619	C₇×D₄	—	4	2	no	—
620	C₂×C₄×C₇	—	2	2	no	—
621	C₂×C₄×C₇	—	2	2	no	—
622	C₂×C₄×C₇	—	2	2	no	—
623	C₂×C₄×C₇	—	2	2	no	—
624	C₂×C₄×C₇	—	2	1	no	—
625	C₂×C₄×C₇	—	2	2	no	—
626	C₂×C₄×C₇	—	2	1	no	—
627	C₂×C₄×C₇	—	2	2	no	—
628	C₂×C₄×C₇	—	2	1	no	—
629	C₂×C₄×C₇	—	2	2	no	—
630	C₂×C₄×C₇	—	2	1	no	—
631	C₂×C₄×C₇	—	2	1	no	—
632	C₂×C₄×C₇	—	2	2	no	—
633	C₂×C₄×C₇	—	2	1	no	—
634	C₂×C₄×C₇	—	2	2	no	—
635	C₂×C₄×C₇	—	4	2	no	—
636	C₂×C₄×C₇	—	4	2	no	—
637	C₂×C₄×C₇	—	4	2	no	—
638	C₂×C₄×C₇	—	4	1	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	1	yes	characteristic
646	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
647	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
648	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
649	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
650	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
651	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
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	1	yes	characteristic
655	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
656	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
657	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
658	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
659	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
660	C₇⋊C₈	—	2	1	no	—
661	C₇⋊C₈	—	2	2	no	—
662	C₇⋊C₈	—	2	1	no	—
663	C₇⋊C₈	—	2	2	no	—
664	C₇⋊C₈	—	2	2	no	—
665	C₇⋊C₈	—	2	1	no	—
666	C₇⋊C₈	—	2	1	no	—
667	C₇⋊C₈	—	2	2	no	—
668	C₇⋊C₈	—	2	1	no	—
669	C₇⋊C₈	—	2	1	no	—
670	C₇⋊C₈	—	2	1	no	—
671	C₇⋊C₈	H(5,𝔽₂)	1	2	yes	—
672	C₂×#41	C₂×Dic₇	1	1	yes	characteristic
673	C₂×#41	C₂×Dic₇	1	1	yes	characteristic
674	C₂×#41	C₂²×D₇	1	2	yes	—
675	C₂×#41	C₂²×D₇	1	2	yes	—
676	C₂²×D₄	C₂×Dic₇	1	1	yes	characteristic
677	C₂³×C₄	C₂²×D₇	1	2	yes	—
678	#131	—	28	4	no	—
679	#131	—	28	4	no	—
680	C₂×M₁₆	—	7	1	no	—
681	C₂×M₁₆	—	7	2	no	—
682	C₂×M₁₆	—	7	1	no	—
683	C₂×M₁₆	—	7	2	no	—
684	C₂×M₁₆	—	7	2	no	—
685	C₂×M₁₆	—	7	2	no	—
686	C₂×M₁₆	—	7	2	no	—
687	C₂×M₁₆	—	7	2	no	—
688	C₂×M₁₆	—	7	1	no	—
689	C₂×M₁₆	—	7	1	no	—
690	C₂×M₁₆	—	7	2	no	—
691	C₂×M₁₆	—	7	2	no	—
692	C₂×M₁₆	—	28	4	no	—
693	C₂²×C₈	—	7	2	no	—
694	C₂²×C₈	—	7	1	no	—
695	C₂²×C₈	—	7	2	no	—
696	C₂²×C₈	—	7	2	no	—
697	C₂²×C₈	—	7	2	no	—
698	C₂²×C₈	—	7	2	no	—
699	C₂²×C₈	—	7	2	no	—
700	C₂²×C₈	—	7	1	no	—
701	C₂²×C₈	—	7	2	no	—
702	C₄⋊Q₈	C₂×Dic₇	1	1	yes	characteristic
703	C₄⋊Q₈	C₂×Dic₇	1	1	yes	characteristic
704	C₄⋊Q₈	C₂×Dic₇	1	2	yes	—
705	#127	C₂×Dic₇	1	1	yes	characteristic
706	#127	C₂×Dic₇	1	1	yes	characteristic
707	#127	C₂×Dic₇	1	2	yes	—
708	#126	C₂×Dic₇	1	2	yes	—
709	#126	C₂×Dic₇	1	2	yes	—
710	#126	C₂×Dic₇	1	2	yes	—
711	#126	C₂×Dic₇	1	2	yes	—
712	#125	C₂×Dic₇	1	1	yes	characteristic
713	#125	C₂×Dic₇	1	2	yes	—
714	#125	C₂×Dic₇	1	1	yes	characteristic
715	#124	C₂×Dic₇	1	1	yes	characteristic
716	#124	C₂×Dic₇	1	1	yes	characteristic
717	#124	C₂×Dic₇	1	2	yes	—
718	#124	C₂×Dic₇	1	2	yes	—
719	#124	C₂×Dic₇	1	2	yes	—
720	#124	C₂×Dic₇	1	2	yes	—
721	#124	C₂×Dic₇	1	2	yes	—
722	#123	C₂×Dic₇	1	2	yes	—
723	#123	C₂×Dic₇	1	2	yes	—
724	#123	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	C₂²⋊Q₈	C₂×Dic₇	1	2	yes	—
731	C₂²⋊Q₈	C₂×Dic₇	1	2	yes	—
732	C₂²⋊Q₈	C₂×Dic₇	1	2	yes	—
733	C₂²⋊Q₈	C₂×Dic₇	1	2	yes	—
734	C₂²⋊Q₈	C₂×Dic₇	1	1	yes	characteristic
735	C₂²⋊Q₈	C₂×Dic₇	1	1	yes	characteristic
736	C₂²⋊Q₈	C₂×Dic₇	1	2	yes	—
737	#121	C₂×Dic₇	1	2	yes	—
738	#121	C₂×Dic₇	1	2	yes	—
739	#121	C₂×Dic₇	1	2	yes	—
740	#121	C₂×Dic₇	1	2	yes	—
741	#121	C₂×Dic₇	1	1	yes	characteristic
742	#121	C₂×Dic₇	1	1	yes	characteristic
743	#121	C₂×Dic₇	1	2	yes	—
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	1	yes	characteristic
748	#121	C₂×Dic₇	1	1	yes	characteristic
749	#121	C₂×Dic₇	1	2	yes	—
750	#121	C₂×Dic₇	1	2	yes	—
751	#121	C₂×Dic₇	1	2	yes	—
752	#121	C₂×Dic₇	1	2	yes	—
753	#121	C₂×Dic₇	1	2	yes	—
754	#120	C₂×Dic₇	1	2	yes	—
755	#120	C₂×Dic₇	1	2	yes	—
756	#120	C₂×Dic₇	1	2	yes	—
757	#120	C₂×Dic₇	1	2	yes	—
758	C₄×Q₈	C₂×Dic₇	1	1	yes	characteristic
759	C₄×Q₈	C₂×Dic₇	1	1	yes	characteristic
760	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
761	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
762	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
763	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
764	C₄×D₄	C₂×Dic₇	1	2	yes	—
765	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
766	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
767	C₄×D₄	C₂×Dic₇	1	2	yes	—
768	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
769	C₄×D₄	C₂×Dic₇	1	1	yes	characteristic
770	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
771	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
772	C₄×D₄	C₂²×D₇	1	2	yes	—
773	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
774	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
775	C₄×D₄	C₂²×D₇	1	2	yes	—
776	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
777	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
778	C₄×D₄	C₂²×D₇	1	2	yes	—
779	C₄×D₄	C₂²×D₇	1	2	yes	—
780	C₄×D₄	C₂²×D₇	1	2	yes	—
781	C₄×D₄	C₂²×D₇	1	2	yes	—
782	#117	C₂×Dic₇	1	1	yes	characteristic
783	#117	C₂×Dic₇	1	1	yes	characteristic
784	#117	C₂×Dic₇	1	1	yes	characteristic
785	#117	C₂×Dic₇	1	1	yes	characteristic
786	#117	C₂×Dic₇	1	2	yes	—
787	#117	C₂²×D₇	1	2	yes	—
788	#117	C₂²×D₇	1	2	yes	—
789	C₂×C₄⋊C₄	C₂×Dic₇	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂×Dic₇	1	2	yes	—
791	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
792	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
793	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
794	C₂×C₄²	C₂²×D₇	1	2	yes	—
795	C₄⋊C₈	—	7	1	no	—
796	C₄⋊C₈	—	7	1	no	—
797	C₄⋊C₈	—	7	1	no	—
798	C₄⋊C₈	—	7	2	no	—
799	C₄⋊C₈	—	7	2	no	—
800	C₄⋊C₈	—	7	2	no	—
801	C₄⋊C₈	—	7	2	no	—
802	C₄⋊C₈	—	7	1	no	—
803	C₄⋊C₈	—	7	2	no	—
804	C₄⋊C₈	—	7	1	no	—
805	C₄⋊C₈	—	7	1	no	—
806	C₄⋊C₈	—	7	2	no	—
807	C₄⋊C₈	—	7	1	no	—
808	C₄⋊C₈	—	7	1	no	—
809	C₄⋊C₈	—	7	1	no	—
810	C₄⋊C₈	—	7	1	no	—
811	C₄⋊C₈	—	7	2	no	—
812	C₂²⋊C₈	—	7	1	no	—
813	C₂²⋊C₈	—	7	2	no	—
814	C₂²⋊C₈	—	7	2	no	—
815	C₂²⋊C₈	—	7	2	no	—
816	C₂²⋊C₈	—	7	1	no	—
817	C₂²⋊C₈	—	7	2	no	—
818	C₂²⋊C₈	—	7	2	no	—
819	C₂²⋊C₈	—	7	2	no	—
820	C₂²⋊C₈	—	7	2	no	—
821	C₂²⋊C₈	—	7	2	no	—
822	C₂²⋊C₈	—	7	2	no	—
823	C₂²⋊C₈	—	7	1	no	—
824	C₂²⋊C₈	—	7	1	no	—
825	C₂²⋊C₈	—	7	2	no	—
826	C₂²⋊C₈	—	7	1	no	—
827	C₂²⋊C₈	—	7	1	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	1	no	—
835	#97	—	7	1	no	—
836	#97	—	7	2	no	—
837	#97	—	7	1	no	—
838	#97	—	7	2	no	—
839	#97	—	7	2	no	—
840	#97	—	7	2	no	—
841	C₄×C₈	—	7	1	no	—
842	C₄×C₈	—	7	1	no	—
843	C₄×C₈	—	7	1	no	—
844	C₄×C₈	—	7	1	no	—
845	C₄×C₈	—	7	2	no	—
846	C₄×C₈	—	7	1	no	—
847	C₄×C₈	—	7	1	no	—
848	C₄×C₈	—	7	2	no	—
849	C₄×C₈	—	7	2	no	—
850	C₂²×C₇	—	2	1	no	—
851	C₂²×C₇	—	2	2	no	—
852	C₂²×C₇	—	2	2	no	—
853	C₂²×C₇	—	2	1	no	—
854	C₂²×C₇	—	2	1	no	—
855	C₂²×C₇	—	2	2	no	—
856	C₂²×C₇	—	2	1	no	—
857	C₂²×C₇	—	2	1	no	—
858	C₂²×C₇	—	2	1	no	—
859	C₂²×C₇	—	2	2	no	—
860	C₂²×C₇	—	2	2	no	—
861	C₂²×C₇	—	2	2	no	—
862	C₂²×C₇	—	2	1	no	—
863	C₂²×C₇	—	2	1	no	—
864	C₂²×C₇	—	2	2	no	—
865	C₂²×C₇	—	2	1	no	—
866	C₂²×C₇	—	2	2	no	—
867	C₂²×C₇	—	2	2	no	—
868	C₂²×C₇	—	8	4	no	—
869	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
870	C₄×C₇	—	2	1	no	—
871	C₄×C₇	—	2	2	no	—
872	C₄×C₇	—	2	2	no	—
873	C₄×C₇	—	2	1	no	—
874	C₄×C₇	—	2	2	no	—
875	C₄×C₇	—	2	1	no	—
876	C₄×C₇	—	2	1	no	—
877	C₄×C₇	—	2	1	no	—
878	C₄×C₇	—	2	1	no	—
879	C₄×C₇	—	2	2	no	—
880	C₄×C₇	—	2	1	no	—
881	C₄×C₇	—	2	1	no	—
882	C₄×C₇	—	2	1	no	—
883	C₄×C₇	—	2	1	no	—
884	C₄×C₇	—	2	2	no	—
885	C₄×C₇	#568	1	2	yes	—
886	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
887	C₄×C₇	#585	1	1	yes	characteristic
888	C₂⁴	C₂²×Dic₇	1	2	yes	—
889	#41	—	4	2	no	—
890	#41	—	4	2	no	—
891	#41	—	4	2	no	—
892	#41	—	4	2	no	—
893	#41	—	4	2	no	—
894	#41	—	4	2	no	—
895	C₂×Q₈	C₂²×Dic₇	1	1	yes	characteristic
896	C₂×Q₈	C₂²×Dic₇	1	1	yes	characteristic
897	C₂×Q₈	C₂²×Dic₇	1	2	yes	—
898	C₂×Q₈	C₂²×Dic₇	1	2	yes	—
899	C₂×D₄	—	4	2	no	—
900	C₂×D₄	C₂²×Dic₇	1	1	yes	characteristic
901	C₂×D₄	C₂²×Dic₇	1	1	yes	characteristic
902	C₂×D₄	C₂²×Dic₇	1	1	yes	characteristic
903	C₂×D₄	C₂²×Dic₇	1	1	yes	characteristic
904	C₂×D₄	C₂²×Dic₇	1	1	yes	characteristic
905	C₂×D₄	C₂²×Dic₇	1	2	yes	—
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	2	yes	—
910	C₂×D₄	C₂²×Dic₇	1	2	yes	—
911	C₂×D₄	C₂²×Dic₇	1	2	yes	—
912	C₂×D₄	C₂²×Dic₇	1	2	yes	—
913	C₂×D₄	C₂²×Dic₇	1	2	yes	—
914	C₂×D₄	C₂²×Dic₇	1	2	yes	—
915	C₂×D₄	C₂²×Dic₇	1	2	yes	—
916	C₂×D₄	C₂²×Dic₇	1	2	yes	—
917	C₂×D₄	C₂²×Dic₇	1	2	yes	—
918	C₂²×C₄	—	4	2	no	—
919	C₂²×C₄	—	4	2	no	—
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	2	yes	—
925	C₂²×C₄	C₂²×Dic₇	1	1	yes	characteristic
926	C₂²×C₄	C₂²×Dic₇	1	1	yes	characteristic
927	C₂²×C₄	C₂²×Dic₇	1	2	yes	—
928	C₂²×C₄	C₂²×Dic₇	1	2	yes	—
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	2	yes	—
936	C₂²×C₄	C₂³×D₇	1	2	yes	—
937	M₁₆	—	14	2	no	—
938	M₁₆	—	14	4	no	—
939	M₁₆	—	14	2	no	—
940	M₁₆	—	14	4	no	—
941	M₁₆	—	28	1	no	—
942	M₁₆	—	28	2	no	—
943	M₁₆	—	28	1	no	—
944	M₁₆	—	28	2	no	—
945	M₁₆	—	28	2	no	—
946	M₁₆	—	28	2	no	—
947	M₁₆	—	28	2	no	—
948	M₁₆	—	28	2	no	—
949	C₂×C₈	—	7	1	no	—
950	C₂×C₈	—	7	1	no	—
951	C₂×C₈	—	7	1	no	—
952	C₂×C₈	—	7	1	no	—
953	C₂×C₈	—	7	2	no	—
954	C₂×C₈	—	7	1	no	—
955	C₂×C₈	—	7	1	no	—
956	C₂×C₈	—	7	1	no	—
957	C₂×C₈	—	7	1	no	—
958	C₂×C₈	—	7	2	no	—
959	C₂×C₈	—	7	2	no	—
960	C₂×C₈	—	7	2	no	—
961	C₂×C₈	—	14	4	no	—
962	C₂×C₈	—	14	2	no	—
963	C₂×C₈	—	28	2	no	—
964	C₂×C₈	—	28	1	no	—
965	C₂×C₈	—	28	2	no	—
966	C₂×C₈	—	28	2	no	—
967	C₂×C₈	—	28	2	no	—
968	C₂×C₈	—	28	2	no	—
969	C₂×C₈	—	28	2	no	—
970	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
971	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
972	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
973	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
974	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
975	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
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	1	yes	characteristic
981	C₄⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
982	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
983	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
984	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
985	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
986	C₄⋊C₄	C₂²×Dic₇	1	2	yes	—
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	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
992	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
993	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
994	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
995	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
996	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
997	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
998	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
999	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
1000	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1001	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1002	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
1003	C₂²⋊C₄	C₂²×Dic₇	1	1	yes	characteristic
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	2	yes	—
1009	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1010	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1011	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1012	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1013	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1014	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1015	C₂²⋊C₄	C₂²×Dic₇	1	2	yes	—
1016	C₄²	C₂²×Dic₇	1	1	yes	characteristic
1017	C₄²	C₂²×Dic₇	1	1	yes	characteristic
1018	C₄²	C₂²×Dic₇	1	2	yes	—
1019	C₄²	C₂²×Dic₇	1	1	yes	characteristic
1020	C₄²	C₂²×Dic₇	1	1	yes	characteristic
1021	C₄²	C₂²×Dic₇	1	1	yes	characteristic
1022	C₄²	C₂²×Dic₇	1	1	yes	characteristic
1023	C₄²	C₂²×Dic₇	1	2	yes	—
1024	C₄²	C₂³×D₇	1	1	yes	characteristic
1025	C₄²	C₂³×D₇	1	1	yes	characteristic
1026	C₄²	C₂³×D₇	1	2	yes	—
1027	C₄²	C₂³×D₇	1	1	yes	characteristic
1028	C₄²	C₂³×D₇	1	1	yes	characteristic
1029	C₂×C₇	—	4	1	no	—
1030	C₂×C₇	—	4	1	no	—
1031	C₂×C₇	—	4	2	no	—
1032	C₂×C₇	—	4	2	no	—
1033	C₂×C₇	—	4	2	no	—
1034	C₂×C₇	—	4	1	no	—
1035	C₂×C₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1036	C₂×C₇	C₂×#568	1	1	yes	characteristic
1037	C₂×C₇	#3573	1	1	yes	characteristic
1038	C₂³	—	4	2	no	—
1039	C₂³	—	4	2	no	—
1040	C₂³	—	4	2	no	—
1041	C₂³	C₂³×Dic₇	1	2	yes	—
1042	C₂³	C₂³×Dic₇	1	2	yes	—
1043	C₂³	C₂³×Dic₇	1	1	yes	characteristic
1044	C₂³	C₂³×Dic₇	1	1	yes	characteristic
1045	C₂³	C₂³×Dic₇	1	1	yes	characteristic
1046	C₂³	C₂³×Dic₇	1	2	yes	—
1047	Q₈	—	2	2	no	—
1048	Q₈	—	4	1	no	—
1049	Q₈	—	4	2	no	—
1050	Q₈	—	4	2	no	—
1051	D₄	—	2	2	no	—
1052	D₄	—	2	2	no	—
1053	D₄	—	2	2	no	—
1054	D₄	—	4	2	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	4	2	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	4	2	no	—
1059	D₄	—	4	1	no	—
1060	D₄	—	4	1	no	—
1061	D₄	—	4	1	no	—
1062	D₄	—	4	2	no	—
1063	D₄	—	4	2	no	—
1064	D₄	—	4	2	no	—
1065	D₄	—	4	2	no	—
1066	D₄	—	4	2	no	—
1067	D₄	—	4	2	no	—
1068	D₄	—	4	2	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	4	1	no	—
1088	C₂×C₄	—	4	1	no	—
1089	C₂×C₄	—	4	1	no	—
1090	C₂×C₄	—	4	2	no	—
1091	C₂×C₄	—	4	2	no	—
1092	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1093	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1094	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1095	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1096	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1097	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1098	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1099	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1100	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
1101	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1102	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1103	C₂×C₄	C₂³×Dic₇	1	1	yes	characteristic
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	1	yes	characteristic
1108	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1109	C₈	—	7	2	no	—
1110	C₈	—	14	1	no	—
1111	C₈	—	14	2	no	—
1112	C₈	—	14	1	no	—
1113	C₈	—	14	2	no	—
1114	C₈	—	14	1	no	—
1115	C₈	—	14	2	no	—
1116	C₈	—	14	1	no	—
1117	C₈	—	14	1	no	—
1118	C₈	—	14	1	no	—
1119	C₈	—	14	2	no	—
1120	C₈	—	14	1	no	—
1121	C₇	#60326	1	1	yes	characteristic, complemented, Sylow
1122	C₂²	—	2	1	no	—
1123	C₂²	—	2	1	no	—
1124	C₂²	—	2	1	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	2	2	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	2	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	2	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	2	no	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	2	no	—
1139	C₂²	—	2	2	no	—
1140	C₂²	—	8	4	no	—
1141	C₂²	C₂⁴×Dic₇	1	1	yes	characteristic
1142	C₄	—	2	1	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	2	2	no	—
1146	C₄	—	2	1	no	—
1147	C₄	—	2	2	no	—
1148	C₄	—	2	2	no	—
1149	C₄	—	2	1	no	—
1150	C₄	—	2	2	no	—
1151	C₄	—	2	1	no	—
1152	C₄	—	2	1	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	2	1	no	—
1155	C₄	—	2	1	no	—
1156	C₄	—	2	2	no	—
1157	C₄	#90510	1	2	yes	—
1158	C₄	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1159	C₄	#90618	1	1	yes	characteristic
1160	C₂	—	4	1	no	—
1161	C₂	—	4	2	no	—
1162	C₂	—	4	2	no	—
1163	C₂	—	4	1	no	—
1164	C₂	—	4	1	no	—
1165	C₂	—	4	2	no	—
1166	C₂	C₂×#90510	1	1	yes	characteristic
1167	C₂	Dic₇×H(5,𝔽₂)	1	1	yes	characteristic
1168	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×#3460	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#3460	D₇
hypocenter	C₇	#60326
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #3460

Complements

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

N	H ≅ G/N	type
2. #11740725	C₂	semidirect
3. #11740724	C₂	semidirect
4. #11740723	C₂	semidirect
5. #11740722	C₂	semidirect
6. #11740722	C₂	semidirect
7. #11740720	C₂	semidirect
8. #11740577	C₂	semidirect
9. #11740576	C₂	semidirect
10. #11740575	C₂	semidirect
11. #11740574	C₂	semidirect
12. #11740572	C₂	semidirect
13. #11740571	C₂	semidirect
14. #11740366	C₂	semidirect
15. #11740364	C₂	semidirect
16. #11740363	C₂	semidirect
17. #11740362	C₂	semidirect
18. #11739967	C₂	semidirect
19. #11739966	C₂	semidirect
20. #11739964	C₂	semidirect
21. #11739962	C₂	semidirect
22. #11739748	C₂	semidirect
23. D₄×#1136	C₂	semidirect
47. C₂×#6511	C₂²	semidirect
48. C₂×#6511	C₂²	semidirect
50. #90006	C₂²	semidirect
51. #90006	C₂²	semidirect
52. #90006	C₂²	semidirect
53. #90006	C₂²	semidirect
54. #90006	C₂²	semidirect
55. #90006	C₂²	semidirect
59. #89796	C₂²	semidirect
60. #89796	C₂²	semidirect
61. #89796	C₂²	semidirect
62. #89796	C₂²	semidirect
63. #89796	C₂²	semidirect
64. Q₈×C₇⋊C₈	C₂²	semidirect
65. Q₈×C₇⋊C₈	C₂²	semidirect
75. #89784	C₂²	semidirect
76. #89784	C₂²	semidirect
77. #89784	C₂²	semidirect
78. #89784	C₂²	semidirect
79. #89784	C₂²	semidirect
80. #89784	C₂²	semidirect
90. #89783	C₂²	semidirect
91. #89783	C₂²	semidirect
92. #89783	C₂²	semidirect
93. #89783	C₂²	semidirect
94. #89783	C₂²	semidirect
95. #89783	C₂²	semidirect
96. #89783	C₂²	semidirect
97. #89783	C₂²	semidirect
98. #89783	C₂²	semidirect
99. #89783	C₂²	semidirect
100. #89783	C₂²	semidirect
105. D₄×C₇⋊C₈	C₂²	semidirect
106. D₄×C₇⋊C₈	C₂²	semidirect
107. D₄×C₇⋊C₈	C₂²	semidirect
108. D₄×C₇⋊C₈	C₂²	semidirect
109. D₄×C₇⋊C₈	C₂²	semidirect
110. D₄×C₇⋊C₈	C₂²	semidirect
111. #89772	C₂²	semidirect
112. #89772	C₂²	semidirect
113. #89772	C₂²	semidirect
114. #89772	C₂²	semidirect
115. #89771	C₂²	semidirect
116. #89771	C₂²	semidirect
117. #89769	C₂²	semidirect
118. #89769	C₂²	semidirect
120. #89698	C₂²	semidirect
121. #89698	C₂²	semidirect
122. #89698	C₂²	semidirect
124. #89697	C₂²	semidirect
125. #89697	C₂²	semidirect
126. #89697	C₂²	semidirect
128. #89696	C₂²	semidirect
129. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
130. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
132. C₄×#1136	C₂²	semidirect
133. C₄×#1136	C₂²	semidirect
134. C₂×C₄×C₇⋊C₈	C₂²	semidirect
1121. C₇	#60326	semidirect

Maximal subgroups

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

subgroup	index
C₇×#3460	2
#11740725	2
#11740724	2
#11740723	2
#11740722	2
#11740720	2
#11740577	2
#11740576	2
#11740575	2
#11740574	2
#11740572	2
#11740571	2
#11740366	2
#11740364	2
#11740363	2
#11740362	2
#11739967	2
#11739966	2
#11739964	2
#11739962	2
#11739748	2
D₄×#1136	2
#60326	7