Subgroups — C₇×#62759 #13239975

Order 1792.

7270 conjugacy classes of subgroups.

The subgroup lattice has 1124 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3551	C₂	1	4	yes	maximal, complemented
2	C₇×#3550	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3549	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3548	C₂	1	2	yes	maximal, complemented
5	C₇×#3547	C₂	1	4	yes	maximal, complemented
6	C₇×#3546	C₂	1	4	yes	maximal, complemented
7	C₇×#3545	C₂	1	4	yes	maximal, complemented
8	C₇×#3544	C₂	1	2	yes	maximal, complemented
9	C₇×#3543	C₂	1	2	yes	maximal, complemented
10	C₇×#3542	C₂	1	8	yes	maximal, complemented
11	C₇×#3529	C₂	1	4	yes	maximal, complemented
12	C₇×#3483	C₂	1	2	yes	maximal, complemented
13	C₇×#3481	C₂	1	2	yes	maximal, complemented
14	C₇×#3475	C₂	1	4	yes	maximal, complemented
15	C₇×D₄×#41	C₂	1	4	yes	maximal, complemented
16	C₇×#3460	C₂	1	8	yes	maximal, complemented
17	C₇×#3449	C₂	1	4	yes	maximal, complemented
18	C₇×#3444	C₂	1	2	yes	maximal, complemented
19	C₂×C₇×#532	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×C₇×#41	C₂²	1	2	yes	complemented
21	C₂²×C₇×#41	C₂²	1	4	yes	complemented
22	C₇×#563	C₂²	1	8	yes	complemented
23	C₇×#563	C₂²	1	4	yes	complemented
24	C₇×#562	C₂²	1	16	yes	complemented
25	C₇×#562	C₂²	1	8	yes	complemented
26	C₇×H(3,𝔽₄)	C₂²	1	4	yes	complemented
27	C₇×#560	C₂²	1	16	yes	complemented
28	C₇×#560	C₂²	1	8	yes	complemented
29	C₇×#559	C₂²	1	2	yes	complemented
30	C₇×Q₈²	C₂²	1	2	yes	complemented
31	C₇×#556	C₂²	1	4	yes	complemented
32	C₇×#555	C₂²	1	4	yes	complemented
33	C₇×#555	C₂²	1	8	yes	complemented
34	C₇×#555	C₂²	1	2	yes	complemented
35	C₇×#555	C₂²	1	8	yes	complemented
36	C₇×#554	C₂²	1	4	yes	complemented
37	C₇×#554	C₂²	1	4	yes	complemented
38	C₇×#553	C₂²	1	8	yes	complemented
39	C₇×#553	C₂²	1	8	yes	complemented
40	C₇×#552	C₂²	1	8	yes	complemented
41	C₇×#552	C₂²	1	8	yes	complemented
42	C₇×#551	C₂²	1	16	yes	complemented
43	C₇×#551	C₂²	1	8	yes	complemented
44	C₇×#550	C₂²	1	4	yes	complemented
45	C₇×#550	C₂²	1	8	yes	complemented
46	C₇×#550	C₂²	1	4	yes	complemented
47	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
48	C₇×#548	C₂²	1	8	yes	complemented
49	C₇×#547	C₂²	1	8	yes	complemented
50	C₇×#547	C₂²	1	4	yes	complemented
51	C₇×#547	C₂²	1	4	yes	complemented
52	C₇×#546	C₂²	1	16	yes	complemented
53	C₇×#546	C₂²	1	8	yes	complemented
54	C₇×#546	C₂²	1	8	yes	complemented
55	C₇×#546	C₂²	1	8	yes	complemented
56	C₇×D₄²	C₂²	1	8	yes	complemented
57	C₇×D₄²	C₂²	1	4	yes	complemented
58	C₇×D₄²	C₂²	1	2	yes	complemented
59	C₇×#544	C₂²	1	8	yes	complemented
60	C₇×#542	C₂²	1	8	yes	complemented
61	C₇×#542	C₂²	1	8	yes	complemented
62	C₇×#542	C₂²	1	16	yes	complemented
63	C₇×#540	C₂²	1	8	yes	complemented
64	C₇×#540	C₂²	1	16	yes	complemented
65	C₇×#540	C₂²	1	8	yes	complemented
66	C₇×#538	C₂²	1	16	yes	complemented
67	C₇×#538	C₂²	1	16	yes	complemented
68	C₇×#537	C₂²	1	8	yes	complemented
69	C₇×#537	C₂²	1	8	yes	complemented
70	C₇×#537	C₂²	1	8	yes	complemented
71	C₇×#536	C₂²	1	8	yes	complemented
72	C₇×#536	C₂²	1	4	yes	complemented
73	C₇×#536	C₂²	1	4	yes	complemented
74	C₇×#535	C₂²	1	8	yes	complemented
75	C₇×#535	C₂²	1	4	yes	complemented
76	C₇×#535	C₂²	1	4	yes	complemented
77	C₇×#535	C₂²	1	8	yes	complemented
78	C₇×#535	C₂²	1	8	yes	complemented
79	C₇×#534	C₂²	1	8	yes	complemented
80	C₇×#534	C₂²	1	8	yes	complemented
81	C₇×#533	C₂²	1	2	yes	complemented
82	C₇×#533	C₂²	1	2	yes	complemented
83	C₇×#533	C₂²	1	2	yes	complemented
84	C₇×#532	C₂²	1	1	yes	characteristic
85	C₇×#532	C₂²	1	1	yes	characteristic
86	C₇×#532	C₂²	1	2	yes	—
87	C₇×#532	C₂²	1	4	yes	complemented
88	C₇×#532	C₂²	1	1	yes	characteristic, complemented
89	C₇×#532	C₂²	1	2	yes	complemented
90	C₇×#532	C₂²	1	4	yes	complemented
91	C₇×#532	C₂²	1	1	yes	characteristic, complemented
92	C₇×#532	C₂²	1	2	yes	complemented
93	C₇×#532	C₂²	1	2	yes	complemented
94	C₇×#532	C₂²	1	2	yes	complemented
95	C₇×#532	C₂²	1	8	yes	complemented
96	C₇×#532	C₂²	1	8	yes	complemented
97	C₇×#532	C₂²	1	8	yes	complemented
98	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₇×#127	C₂²	1	1	yes	characteristic
100	C₇×#529	C₂²	1	4	yes	complemented
101	C₇×#529	C₂²	1	4	yes	complemented
102	C₇×#529	C₂²	1	4	yes	complemented
103	C₇×#529	C₂²	1	4	yes	complemented
104	C₇×#529	C₂²	1	4	yes	complemented
105	C₇×#529	C₂²	1	4	yes	complemented
106	C₇×#529	C₂²	1	8	yes	complemented
107	C₇×#529	C₂²	1	16	yes	complemented
108	C₂×C₇×#124	C₂²	1	2	yes	complemented
109	C₇×#525	C₂²	1	4	yes	complemented
110	C₇×#525	C₂²	1	4	yes	complemented
111	C₇×#525	C₂²	1	4	yes	complemented
112	C₇×#525	C₂²	1	8	yes	complemented
113	C₇×#525	C₂²	1	8	yes	complemented
114	C₇×#525	C₂²	1	8	yes	complemented
115	C₇×#525	C₂²	1	16	yes	complemented
116	C₂×C₇×#121	C₂²	1	4	yes	complemented
117	C₄×C₇×#41	C₂²	1	4	yes	complemented
118	C₄×C₇×#41	C₂²	1	4	yes	complemented
119	C₄×C₇×#41	C₂²	1	4	yes	complemented
120	C₄×C₇×#41	C₂²	1	8	yes	complemented
121	C₂×C₄×C₇×D₄	C₂²	1	4	yes	complemented
122	C₂×C₄×C₇×D₄	C₂²	1	8	yes	complemented
123	C₂×C₇×#117	C₂²	1	4	yes	complemented
124	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
125	#62759	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
126	C₂×C₇×#41	—	4	8	no	—
127	C₂×C₇×#41	—	4	16	no	—
128	C₂×C₇×#41	C₂³	1	4	yes	—
129	C₂×C₇×#41	C₂³	1	2	yes	—
130	C₂×C₇×#41	C₂³	1	4	yes	—
131	C₂×C₇×#41	C₂³	1	8	yes	—
132	C₂×C₇×#41	C₂³	1	2	yes	—
133	C₂×C₇×#41	C₂³	1	2	yes	—
134	C₂×C₇×#41	C₂³	1	4	yes	—
135	C₂×C₇×#41	C₂³	1	2	yes	—
136	C₂×C₇×#41	C₂³	1	8	yes	—
137	C₂×C₇×#41	C₂³	1	8	yes	—
138	C₂×C₇×#41	C₂³	1	4	yes	—
139	C₂×C₇×#41	C₂³	1	4	yes	—
140	C₂×C₇×#41	C₂³	1	8	yes	—
141	C₂²×C₇×Q₈	C₂³	1	2	yes	—
142	C₂²×C₇×Q₈	C₂³	1	4	yes	—
143	C₂²×C₇×D₄	C₂³	1	4	yes	—
144	C₂²×C₇×D₄	C₂³	1	2	yes	—
145	C₂²×C₇×D₄	C₂³	1	8	yes	—
146	C₂²×C₇×D₄	C₂³	1	4	yes	—
147	C₂²×C₇×D₄	C₂³	1	4	yes	—
148	C₂²×C₇×D₄	C₂³	1	8	yes	—
149	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₇	C₂³	1	4	yes	—
151	C₂³×C₄×C₇	C₂³	1	8	yes	—
152	C₂³×C₄×C₇	C₂³	1	2	yes	—
153	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
154	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
155	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
156	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
159	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
161	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
162	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
163	C₇×#127	C₂³	1	1	yes	characteristic
164	C₇×#127	C₂³	1	4	yes	—
165	C₇×#127	C₂³	1	1	yes	characteristic
166	C₇×#127	C₂³	1	2	yes	—
167	C₇×#127	C₂³	1	2	yes	—
168	C₇×#127	C₂³	1	8	yes	—
169	C₇×#127	C₂³	1	8	yes	—
170	C₇×#127	C₂³	1	8	yes	—
171	C₇×#126	C₂³	1	8	yes	—
172	C₇×#126	C₂³	1	8	yes	—
173	C₇×#126	C₂³	1	16	yes	—
174	C₇×#126	C₂³	1	16	yes	—
175	C₇×#126	C₂³	1	16	yes	—
176	C₇×#125	C₂³	1	4	yes	—
177	C₇×#125	C₂³	1	4	yes	—
178	C₇×#125	C₂³	1	4	yes	—
179	C₇×#125	C₂³	1	16	yes	—
180	C₇×#125	C₂³	1	8	yes	—
181	C₇×#124	C₂³	1	2	yes	—
182	C₇×#124	C₂³	1	2	yes	—
183	C₇×#124	C₂³	1	8	yes	—
184	C₇×#124	C₂³	1	2	yes	—
185	C₇×#124	C₂³	1	2	yes	—
186	C₇×#124	C₂³	1	4	yes	—
187	C₇×#124	C₂³	1	4	yes	—
188	C₇×#124	C₂³	1	4	yes	—
189	C₇×#124	C₂³	1	8	yes	—
190	C₇×#124	C₂³	1	16	yes	—
191	C₇×#124	C₂³	1	8	yes	—
192	C₇×#124	C₂³	1	8	yes	—
193	C₇×#124	C₂³	1	8	yes	—
194	C₇×#124	C₂³	1	8	yes	—
195	C₇×#124	C₂³	1	16	yes	—
196	C₇×#123	C₂³	1	8	yes	—
197	C₇×#123	C₂³	1	8	yes	—
198	C₇×#123	C₂³	1	8	yes	—
199	C₇×#123	C₂³	1	8	yes	—
200	C₇×#123	C₂³	1	8	yes	—
201	C₇×#123	C₂³	1	16	yes	—
202	C₇×#123	C₂³	1	8	yes	—
203	C₇×#123	C₂³	1	8	yes	—
204	C₇×#123	C₂³	1	16	yes	—
205	C₇×#123	C₂³	1	16	yes	—
206	C₇×#123	C₂³	1	16	yes	—
207	C₇×#123	C₂³	1	16	yes	—
208	C₇×#123	C₂³	1	16	yes	—
209	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
210	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
211	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
212	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
213	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
214	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
215	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
216	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
217	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
218	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
219	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
220	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
221	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
222	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
223	C₇×#121	C₂³	1	4	yes	—
224	C₇×#121	C₂³	1	4	yes	—
225	C₇×#121	C₂³	1	4	yes	—
226	C₇×#121	C₂³	1	8	yes	—
227	C₇×#121	C₂³	1	4	yes	—
228	C₇×#121	C₂³	1	8	yes	—
229	C₇×#121	C₂³	1	4	yes	—
230	C₇×#121	C₂³	1	4	yes	—
231	C₇×#121	C₂³	1	4	yes	—
232	C₇×#121	C₂³	1	4	yes	—
233	C₇×#121	C₂³	1	4	yes	—
234	C₇×#121	C₂³	1	4	yes	—
235	C₇×#121	C₂³	1	16	yes	—
236	C₇×#121	C₂³	1	8	yes	—
237	C₇×#121	C₂³	1	8	yes	—
238	C₇×#121	C₂³	1	16	yes	—
239	C₇×#121	C₂³	1	16	yes	—
240	C₇×#121	C₂³	1	16	yes	—
241	C₇×#121	C₂³	1	8	yes	—
242	C₇×#121	C₂³	1	16	yes	—
243	C₇×#121	C₂³	1	16	yes	—
244	C₇×#121	C₂³	1	16	yes	—
245	C₇×#121	C₂³	1	16	yes	—
246	C₇×#121	C₂³	1	16	yes	—
247	C₇×#121	C₂³	1	8	yes	—
248	C₇×#121	C₂³	1	8	yes	—
249	C₇×#121	C₂³	1	16	yes	—
250	C₇×#120	C₂³	1	8	yes	—
251	C₇×#120	C₂³	1	8	yes	—
252	C₇×#120	C₂³	1	8	yes	—
253	C₇×#120	C₂³	1	16	yes	—
254	C₇×#120	C₂³	1	8	yes	—
255	C₇×#120	C₂³	1	8	yes	—
256	C₇×#120	C₂³	1	16	yes	—
257	C₇×#120	C₂³	1	16	yes	—
258	C₄×C₇×Q₈	C₂³	1	4	yes	—
259	C₄×C₇×Q₈	C₂³	1	4	yes	—
260	C₄×C₇×Q₈	C₂³	1	4	yes	—
261	C₄×C₇×Q₈	C₂³	1	4	yes	—
262	C₄×C₇×Q₈	C₂³	1	4	yes	—
263	C₄×C₇×Q₈	C₂³	1	4	yes	—
264	C₄×C₇×Q₈	C₂³	1	8	yes	—
265	C₄×C₇×D₄	C₂³	1	4	yes	—
266	C₄×C₇×D₄	C₂³	1	4	yes	—
267	C₄×C₇×D₄	C₂³	1	4	yes	—
268	C₄×C₇×D₄	C₂³	1	16	yes	—
269	C₄×C₇×D₄	C₂³	1	8	yes	—
270	C₄×C₇×D₄	C₂³	1	4	yes	—
271	C₄×C₇×D₄	C₂³	1	8	yes	—
272	C₄×C₇×D₄	C₂³	1	4	yes	—
273	C₄×C₇×D₄	C₂³	1	8	yes	—
274	C₄×C₇×D₄	C₂³	1	8	yes	—
275	C₄×C₇×D₄	C₂³	1	16	yes	—
276	C₄×C₇×D₄	C₂³	1	4	yes	—
277	C₄×C₇×D₄	C₂³	1	8	yes	—
278	C₄×C₇×D₄	C₂³	1	8	yes	—
279	C₄×C₇×D₄	C₂³	1	16	yes	—
280	C₄×C₇×D₄	C₂³	1	8	yes	—
281	C₄×C₇×D₄	C₂³	1	8	yes	—
282	C₄×C₇×D₄	C₂³	1	8	yes	—
283	C₄×C₇×D₄	C₂³	1	8	yes	—
284	C₄×C₇×D₄	C₂³	1	4	yes	—
285	C₄×C₇×D₄	C₂³	1	4	yes	—
286	C₄×C₇×D₄	C₂³	1	4	yes	—
287	C₄×C₇×D₄	C₂³	1	4	yes	—
288	C₄×C₇×D₄	C₂³	1	16	yes	—
289	C₄×C₇×D₄	C₂³	1	8	yes	—
290	C₇×#117	C₂³	1	4	yes	—
291	C₇×#117	C₂³	1	8	yes	—
292	C₇×#117	C₂³	1	8	yes	—
293	C₇×#117	C₂³	1	4	yes	—
294	C₇×#117	C₂³	1	4	yes	—
295	C₇×#117	C₂³	1	8	yes	—
296	C₇×#117	C₂³	1	4	yes	—
297	C₇×#117	C₂³	1	4	yes	—
298	C₇×#117	C₂³	1	8	yes	—
299	C₇×#117	C₂³	1	8	yes	—
300	C₇×#117	C₂³	1	8	yes	—
301	C₇×#117	C₂³	1	16	yes	—
302	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
303	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
304	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
305	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
306	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
307	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
308	C₂×C₄²×C₇	C₂³	1	2	yes	—
309	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₇	C₂³	1	2	yes	—
311	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₇	C₂³	1	2	yes	—
316	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₇	C₂³	1	8	yes	—
318	C₂×C₄²×C₇	C₂³	1	8	yes	—
319	#3551	C₂×C₇	1	4	yes	complemented
320	#3550	C₂×C₇	1	1	yes	characteristic, complemented
321	#3549	C₂×C₇	1	1	yes	characteristic, complemented
322	#3548	C₂×C₇	1	2	yes	complemented
323	#3547	C₂×C₇	1	4	yes	complemented
324	#3546	C₂×C₇	1	4	yes	complemented
325	#3545	C₂×C₇	1	4	yes	complemented
326	#3544	C₂×C₇	1	2	yes	complemented
327	#3543	C₂×C₇	1	2	yes	complemented
328	#3542	C₂×C₇	1	8	yes	complemented
329	#3529	C₂×C₇	1	4	yes	complemented
330	#3483	C₂×C₇	1	2	yes	complemented
331	#3481	C₂×C₇	1	2	yes	complemented
332	#3475	C₂×C₇	1	4	yes	complemented
333	D₄×#41	C₂×C₇	1	4	yes	complemented
334	#3460	C₂×C₇	1	8	yes	complemented
335	#3449	C₂×C₇	1	4	yes	complemented
336	#3444	C₂×C₇	1	2	yes	complemented
337	C₂×#532	C₂×C₇	1	1	yes	characteristic, complemented
338	C₂⁴×C₇	C₂⁴	1	4	yes	—
339	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
340	C₂⁴×C₇	C₂⁴	1	8	yes	—
341	C₇×#41	—	2	16	no	—
342	C₇×#41	—	4	4	no	—
343	C₇×#41	—	4	8	no	—
344	C₇×#41	—	4	4	no	—
345	C₇×#41	—	4	8	no	—
346	C₇×#41	—	4	4	no	—
347	C₇×#41	—	4	4	no	—
348	C₇×#41	—	4	16	no	—
349	C₇×#41	—	4	8	no	—
350	C₇×#41	—	4	16	no	—
351	C₇×#41	—	4	16	no	—
352	C₇×#41	—	4	8	no	—
353	C₇×#41	—	4	16	no	—
354	C₂×C₇×Q₈	—	4	4	no	—
355	C₂×C₇×Q₈	—	4	8	no	—
356	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
357	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
358	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
359	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
360	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
361	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
362	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
363	C₂×C₇×D₄	—	4	8	no	—
364	C₂×C₇×D₄	—	4	16	no	—
365	C₂×C₇×D₄	—	4	8	no	—
366	C₂×C₇×D₄	—	4	4	no	—
367	C₂×C₇×D₄	—	4	8	no	—
368	C₂×C₇×D₄	—	4	16	no	—
369	C₂×C₇×D₄	C₂⁴	1	4	yes	—
370	C₂×C₇×D₄	C₂⁴	1	4	yes	—
371	C₂×C₇×D₄	C₂⁴	1	4	yes	—
372	C₂×C₇×D₄	C₂⁴	1	8	yes	—
373	C₂×C₇×D₄	C₂⁴	1	4	yes	—
374	C₂×C₇×D₄	C₂⁴	1	4	yes	—
375	C₂×C₇×D₄	C₂⁴	1	16	yes	—
376	C₂×C₇×D₄	C₂⁴	1	8	yes	—
377	C₂×C₇×D₄	C₂⁴	1	8	yes	—
378	C₂×C₇×D₄	C₂⁴	1	16	yes	—
379	C₂×C₇×D₄	C₂⁴	1	8	yes	—
380	C₂×C₇×D₄	C₂⁴	1	2	yes	—
381	C₂×C₇×D₄	C₂⁴	1	4	yes	—
382	C₂×C₇×D₄	C₂⁴	1	4	yes	—
383	C₂×C₇×D₄	C₂⁴	1	4	yes	—
384	C₂×C₇×D₄	C₂⁴	1	8	yes	—
385	C₂×C₇×D₄	C₂⁴	1	16	yes	—
386	C₂×C₇×D₄	C₂⁴	1	4	yes	—
387	C₂×C₇×D₄	C₂⁴	1	4	yes	—
388	C₂×C₇×D₄	C₂⁴	1	2	yes	—
389	C₂²×C₄×C₇	—	2	4	no	—
390	C₂²×C₄×C₇	—	2	16	no	—
391	C₂²×C₄×C₇	—	4	4	no	—
392	C₂²×C₄×C₇	—	4	16	no	—
393	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
394	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
395	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
396	C₂²×C₄×C₇	C₂⁴	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	8	yes	—
400	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
401	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
402	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
403	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
406	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
407	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
408	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
409	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
410	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
411	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
412	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
413	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
414	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
415	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
416	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
417	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
418	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
419	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
420	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
421	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
422	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
423	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
424	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
425	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
426	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
427	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
428	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
429	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
430	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
431	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
432	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
433	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
434	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
435	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
436	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
437	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
438	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
439	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
440	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
441	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
442	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
443	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
444	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
445	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
446	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
447	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
448	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
449	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
450	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
451	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
452	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
453	C₄²×C₇	C₂⁴	1	1	yes	characteristic
454	C₄²×C₇	C₂⁴	1	2	yes	—
455	C₄²×C₇	C₂⁴	1	2	yes	—
456	C₄²×C₇	C₂⁴	1	2	yes	—
457	C₄²×C₇	C₂⁴	1	1	yes	characteristic
458	C₄²×C₇	C₂⁴	1	2	yes	—
459	C₄²×C₇	C₂⁴	1	1	yes	characteristic
460	C₄²×C₇	C₂⁴	1	1	yes	characteristic
461	C₄²×C₇	C₂⁴	1	8	yes	—
462	C₄²×C₇	C₂⁴	1	8	yes	—
463	C₄²×C₇	C₂⁴	1	8	yes	—
464	C₄²×C₇	C₂⁴	1	8	yes	—
465	C₄²×C₇	C₂⁴	1	2	yes	—
466	C₄²×C₇	C₂⁴	1	2	yes	—
467	C₄²×C₇	C₂⁴	1	8	yes	—
468	C₂²×#41	C₂²×C₇	1	2	yes	complemented
469	C₂²×#41	C₂²×C₇	1	4	yes	complemented
470	#563	C₂²×C₇	1	8	yes	complemented
471	#563	C₂²×C₇	1	4	yes	complemented
472	#562	C₂²×C₇	1	16	yes	complemented
473	#562	C₂²×C₇	1	8	yes	complemented
474	H(3,𝔽₄)	C₂²×C₇	1	4	yes	complemented
475	#560	C₂²×C₇	1	16	yes	complemented
476	#560	C₂²×C₇	1	8	yes	complemented
477	#559	C₂²×C₇	1	2	yes	complemented
478	Q₈²	C₂²×C₇	1	2	yes	complemented
479	#556	C₂²×C₇	1	4	yes	complemented
480	#555	C₂²×C₇	1	4	yes	complemented
481	#555	C₂²×C₇	1	8	yes	complemented
482	#555	C₂²×C₇	1	2	yes	complemented
483	#555	C₂²×C₇	1	8	yes	complemented
484	#554	C₂²×C₇	1	4	yes	complemented
485	#554	C₂²×C₇	1	4	yes	complemented
486	#553	C₂²×C₇	1	8	yes	complemented
487	#553	C₂²×C₇	1	8	yes	complemented
488	#552	C₂²×C₇	1	8	yes	complemented
489	#552	C₂²×C₇	1	8	yes	complemented
490	#551	C₂²×C₇	1	16	yes	complemented
491	#551	C₂²×C₇	1	8	yes	complemented
492	#550	C₂²×C₇	1	4	yes	complemented
493	#550	C₂²×C₇	1	8	yes	complemented
494	#550	C₂²×C₇	1	4	yes	complemented
495	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
496	#548	C₂²×C₇	1	8	yes	complemented
497	#547	C₂²×C₇	1	8	yes	complemented
498	#547	C₂²×C₇	1	4	yes	complemented
499	#547	C₂²×C₇	1	4	yes	complemented
500	#546	C₂²×C₇	1	16	yes	complemented
501	#546	C₂²×C₇	1	8	yes	complemented
502	#546	C₂²×C₇	1	8	yes	complemented
503	#546	C₂²×C₇	1	8	yes	complemented
504	D₄²	C₂²×C₇	1	8	yes	complemented
505	D₄²	C₂²×C₇	1	4	yes	complemented
506	D₄²	C₂²×C₇	1	2	yes	complemented
507	#544	C₂²×C₇	1	8	yes	complemented
508	#542	C₂²×C₇	1	8	yes	complemented
509	#542	C₂²×C₇	1	8	yes	complemented
510	#542	C₂²×C₇	1	16	yes	complemented
511	#540	C₂²×C₇	1	8	yes	complemented
512	#540	C₂²×C₇	1	16	yes	complemented
513	#540	C₂²×C₇	1	8	yes	complemented
514	#538	C₂²×C₇	1	16	yes	complemented
515	#538	C₂²×C₇	1	16	yes	complemented
516	#537	C₂²×C₇	1	8	yes	complemented
517	#537	C₂²×C₇	1	8	yes	complemented
518	#537	C₂²×C₇	1	8	yes	complemented
519	#536	C₂²×C₇	1	8	yes	complemented
520	#536	C₂²×C₇	1	4	yes	complemented
521	#536	C₂²×C₇	1	4	yes	complemented
522	#535	C₂²×C₇	1	8	yes	complemented
523	#535	C₂²×C₇	1	4	yes	complemented
524	#535	C₂²×C₇	1	4	yes	complemented
525	#535	C₂²×C₇	1	8	yes	complemented
526	#535	C₂²×C₇	1	8	yes	complemented
527	#534	C₂²×C₇	1	8	yes	complemented
528	#534	C₂²×C₇	1	8	yes	complemented
529	#533	C₂²×C₇	1	2	yes	complemented
530	#533	C₂²×C₇	1	2	yes	complemented
531	#533	C₂²×C₇	1	2	yes	complemented
532	#532	C₂²×C₇	1	1	yes	characteristic
533	#532	C₂²×C₇	1	1	yes	characteristic
534	#532	C₂²×C₇	1	2	yes	—
535	#532	C₂²×C₇	1	4	yes	complemented
536	#532	C₂²×C₇	1	1	yes	characteristic, complemented
537	#532	C₂²×C₇	1	2	yes	complemented
538	#532	C₂²×C₇	1	4	yes	complemented
539	#532	C₂²×C₇	1	1	yes	characteristic, complemented
540	#532	C₂²×C₇	1	2	yes	complemented
541	#532	C₂²×C₇	1	2	yes	complemented
542	#532	C₂²×C₇	1	2	yes	complemented
543	#532	C₂²×C₇	1	8	yes	complemented
544	#532	C₂²×C₇	1	8	yes	complemented
545	#532	C₂²×C₇	1	8	yes	complemented
546	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
547	C₂×#127	C₂²×C₇	1	1	yes	characteristic
548	#529	C₂²×C₇	1	4	yes	complemented
549	#529	C₂²×C₇	1	4	yes	complemented
550	#529	C₂²×C₇	1	4	yes	complemented
551	#529	C₂²×C₇	1	4	yes	complemented
552	#529	C₂²×C₇	1	4	yes	complemented
553	#529	C₂²×C₇	1	4	yes	complemented
554	#529	C₂²×C₇	1	8	yes	complemented
555	#529	C₂²×C₇	1	16	yes	complemented
556	C₂×#124	C₂²×C₇	1	2	yes	complemented
557	#525	C₂²×C₇	1	4	yes	complemented
558	#525	C₂²×C₇	1	4	yes	complemented
559	#525	C₂²×C₇	1	4	yes	complemented
560	#525	C₂²×C₇	1	8	yes	complemented
561	#525	C₂²×C₇	1	8	yes	complemented
562	#525	C₂²×C₇	1	8	yes	complemented
563	#525	C₂²×C₇	1	16	yes	complemented
564	C₂×#121	C₂²×C₇	1	4	yes	complemented
565	C₄×#41	C₂²×C₇	1	4	yes	complemented
566	C₄×#41	C₂²×C₇	1	4	yes	complemented
567	C₄×#41	C₂²×C₇	1	4	yes	complemented
568	C₄×#41	C₂²×C₇	1	8	yes	complemented
569	C₂×C₄×D₄	C₂²×C₇	1	4	yes	complemented
570	C₂×C₄×D₄	C₂²×C₇	1	8	yes	complemented
571	C₂×#117	C₂²×C₇	1	4	yes	complemented
572	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
573	C₂³×C₇	—	2	2	no	—
574	C₂³×C₇	—	2	8	no	—
575	C₂³×C₇	—	4	2	no	—
576	C₂³×C₇	—	4	8	no	—
577	C₂³×C₇	—	4	8	no	—
578	C₂³×C₇	—	4	16	no	—
579	C₂³×C₇	C₂⁵	1	4	yes	—
580	C₂³×C₇	C₂⁵	1	8	yes	—
581	C₂³×C₇	C₂⁵	1	1	yes	characteristic
582	C₂³×C₇	C₂⁵	1	1	yes	characteristic
583	C₂³×C₇	C₂⁵	1	4	yes	—
584	C₂³×C₇	C₂⁵	1	1	yes	characteristic
585	C₇×Q₈	—	2	8	no	—
586	C₇×Q₈	—	2	8	no	—
587	C₇×Q₈	—	4	2	no	—
588	C₇×Q₈	—	4	4	no	—
589	C₇×Q₈	—	4	2	no	—
590	C₇×Q₈	—	4	8	no	—
591	C₇×Q₈	—	4	4	no	—
592	C₇×D₄	—	2	16	no	—
593	C₇×D₄	—	2	8	no	—
594	C₇×D₄	—	2	8	no	—
595	C₇×D₄	—	2	8	no	—
596	C₇×D₄	—	2	8	no	—
597	C₇×D₄	—	4	8	no	—
598	C₇×D₄	—	4	16	no	—
599	C₇×D₄	—	4	4	no	—
600	C₇×D₄	—	4	4	no	—
601	C₇×D₄	—	4	2	no	—
602	C₇×D₄	—	4	4	no	—
603	C₇×D₄	—	4	4	no	—
604	C₇×D₄	—	4	2	no	—
605	C₇×D₄	—	4	4	no	—
606	C₇×D₄	—	4	8	no	—
607	C₇×D₄	—	4	16	no	—
608	C₇×D₄	—	4	8	no	—
609	C₇×D₄	—	4	4	no	—
610	C₇×D₄	—	4	8	no	—
611	C₇×D₄	—	4	16	no	—
612	C₂×C₄×C₇	—	2	2	no	—
613	C₂×C₄×C₇	—	2	8	no	—
614	C₂×C₄×C₇	—	2	8	no	—
615	C₂×C₄×C₇	—	2	8	no	—
616	C₂×C₄×C₇	—	2	8	no	—
617	C₂×C₄×C₇	—	2	2	no	—
618	C₂×C₄×C₇	—	2	2	no	—
619	C₂×C₄×C₇	—	2	8	no	—
620	C₂×C₄×C₇	—	2	2	no	—
621	C₂×C₄×C₇	—	2	2	no	—
622	C₂×C₄×C₇	—	2	16	no	—
623	C₂×C₄×C₇	—	2	4	no	—
624	C₂×C₄×C₇	—	2	4	no	—
625	C₂×C₄×C₇	—	2	4	no	—
626	C₂×C₄×C₇	—	2	16	no	—
627	C₂×C₄×C₇	—	4	2	no	—
628	C₂×C₄×C₇	—	4	2	no	—
629	C₂×C₄×C₇	—	4	2	no	—
630	C₂×C₄×C₇	—	4	8	no	—
631	C₂×C₄×C₇	—	4	16	no	—
632	C₂×C₄×C₇	—	4	8	no	—
633	C₂×C₄×C₇	—	4	16	no	—
634	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
635	C₂×C₄×C₇	C₂⁵	1	2	yes	—
636	C₂×C₄×C₇	C₂⁵	1	2	yes	—
637	C₂×C₄×C₇	C₂⁵	1	8	yes	—
638	C₂×C₄×C₇	C₂⁵	1	8	yes	—
639	C₂×C₄×C₇	C₂⁵	1	2	yes	—
640	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
641	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
642	C₂×C₄×C₇	C₂⁵	1	4	yes	—
643	C₂×C₄×C₇	C₂⁵	1	8	yes	—
644	C₂×C₄×C₇	C₂⁵	1	4	yes	—
645	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
646	C₂×C₄×C₇	C₂⁵	1	2	yes	—
647	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
648	C₂×#41	—	4	8	no	—
649	C₂×#41	—	4	16	no	—
650	C₂×#41	C₂³×C₇	1	4	yes	—
651	C₂×#41	C₂³×C₇	1	4	yes	—
652	C₂×#41	C₂³×C₇	1	4	yes	—
653	C₂×#41	C₂³×C₇	1	8	yes	—
654	C₂×#41	C₂³×C₇	1	2	yes	—
655	C₂×#41	C₂³×C₇	1	4	yes	—
656	C₂×#41	C₂³×C₇	1	8	yes	—
657	C₂×#41	C₂³×C₇	1	2	yes	—
658	C₂×#41	C₂³×C₇	1	2	yes	—
659	C₂×#41	C₂³×C₇	1	4	yes	—
660	C₂×#41	C₂³×C₇	1	2	yes	—
661	C₂×#41	C₂³×C₇	1	8	yes	—
662	C₂×#41	C₂³×C₇	1	8	yes	—
663	C₂²×Q₈	C₂³×C₇	1	2	yes	—
664	C₂²×Q₈	C₂³×C₇	1	4	yes	—
665	C₂²×D₄	C₂³×C₇	1	4	yes	—
666	C₂²×D₄	C₂³×C₇	1	8	yes	—
667	C₂²×D₄	C₂³×C₇	1	4	yes	—
668	C₂²×D₄	C₂³×C₇	1	2	yes	—
669	C₂²×D₄	C₂³×C₇	1	8	yes	—
670	C₂²×D₄	C₂³×C₇	1	4	yes	—
671	C₂³×C₄	C₂³×C₇	1	4	yes	—
672	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
673	C₂³×C₄	C₂³×C₇	1	8	yes	—
674	C₂³×C₄	C₂³×C₇	1	2	yes	—
675	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
676	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
677	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
678	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
679	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
680	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
681	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
682	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
683	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
684	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
685	#127	C₂³×C₇	1	1	yes	characteristic
686	#127	C₂³×C₇	1	4	yes	—
687	#127	C₂³×C₇	1	1	yes	characteristic
688	#127	C₂³×C₇	1	2	yes	—
689	#127	C₂³×C₇	1	2	yes	—
690	#127	C₂³×C₇	1	8	yes	—
691	#127	C₂³×C₇	1	8	yes	—
692	#127	C₂³×C₇	1	8	yes	—
693	#126	C₂³×C₇	1	8	yes	—
694	#126	C₂³×C₇	1	8	yes	—
695	#126	C₂³×C₇	1	16	yes	—
696	#126	C₂³×C₇	1	16	yes	—
697	#126	C₂³×C₇	1	16	yes	—
698	#125	C₂³×C₇	1	4	yes	—
699	#125	C₂³×C₇	1	4	yes	—
700	#125	C₂³×C₇	1	4	yes	—
701	#125	C₂³×C₇	1	16	yes	—
702	#125	C₂³×C₇	1	8	yes	—
703	#124	C₂³×C₇	1	2	yes	—
704	#124	C₂³×C₇	1	2	yes	—
705	#124	C₂³×C₇	1	8	yes	—
706	#124	C₂³×C₇	1	2	yes	—
707	#124	C₂³×C₇	1	2	yes	—
708	#124	C₂³×C₇	1	4	yes	—
709	#124	C₂³×C₇	1	4	yes	—
710	#124	C₂³×C₇	1	4	yes	—
711	#124	C₂³×C₇	1	8	yes	—
712	#124	C₂³×C₇	1	16	yes	—
713	#124	C₂³×C₇	1	8	yes	—
714	#124	C₂³×C₇	1	8	yes	—
715	#124	C₂³×C₇	1	8	yes	—
716	#124	C₂³×C₇	1	8	yes	—
717	#124	C₂³×C₇	1	16	yes	—
718	#123	C₂³×C₇	1	8	yes	—
719	#123	C₂³×C₇	1	8	yes	—
720	#123	C₂³×C₇	1	8	yes	—
721	#123	C₂³×C₇	1	8	yes	—
722	#123	C₂³×C₇	1	8	yes	—
723	#123	C₂³×C₇	1	16	yes	—
724	#123	C₂³×C₇	1	8	yes	—
725	#123	C₂³×C₇	1	8	yes	—
726	#123	C₂³×C₇	1	16	yes	—
727	#123	C₂³×C₇	1	16	yes	—
728	#123	C₂³×C₇	1	16	yes	—
729	#123	C₂³×C₇	1	16	yes	—
730	#123	C₂³×C₇	1	16	yes	—
731	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
732	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
733	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
734	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
735	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
736	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
737	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
738	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
739	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
740	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
741	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
742	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
743	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
744	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
745	#121	C₂³×C₇	1	4	yes	—
746	#121	C₂³×C₇	1	4	yes	—
747	#121	C₂³×C₇	1	4	yes	—
748	#121	C₂³×C₇	1	8	yes	—
749	#121	C₂³×C₇	1	4	yes	—
750	#121	C₂³×C₇	1	8	yes	—
751	#121	C₂³×C₇	1	4	yes	—
752	#121	C₂³×C₇	1	4	yes	—
753	#121	C₂³×C₇	1	4	yes	—
754	#121	C₂³×C₇	1	4	yes	—
755	#121	C₂³×C₇	1	4	yes	—
756	#121	C₂³×C₇	1	4	yes	—
757	#121	C₂³×C₇	1	16	yes	—
758	#121	C₂³×C₇	1	8	yes	—
759	#121	C₂³×C₇	1	8	yes	—
760	#121	C₂³×C₇	1	16	yes	—
761	#121	C₂³×C₇	1	16	yes	—
762	#121	C₂³×C₇	1	16	yes	—
763	#121	C₂³×C₇	1	8	yes	—
764	#121	C₂³×C₇	1	16	yes	—
765	#121	C₂³×C₇	1	16	yes	—
766	#121	C₂³×C₇	1	16	yes	—
767	#121	C₂³×C₇	1	16	yes	—
768	#121	C₂³×C₇	1	16	yes	—
769	#121	C₂³×C₇	1	8	yes	—
770	#121	C₂³×C₇	1	8	yes	—
771	#121	C₂³×C₇	1	16	yes	—
772	#120	C₂³×C₇	1	8	yes	—
773	#120	C₂³×C₇	1	8	yes	—
774	#120	C₂³×C₇	1	8	yes	—
775	#120	C₂³×C₇	1	16	yes	—
776	#120	C₂³×C₇	1	8	yes	—
777	#120	C₂³×C₇	1	8	yes	—
778	#120	C₂³×C₇	1	16	yes	—
779	#120	C₂³×C₇	1	16	yes	—
780	C₄×Q₈	C₂³×C₇	1	4	yes	—
781	C₄×Q₈	C₂³×C₇	1	4	yes	—
782	C₄×Q₈	C₂³×C₇	1	4	yes	—
783	C₄×Q₈	C₂³×C₇	1	4	yes	—
784	C₄×Q₈	C₂³×C₇	1	4	yes	—
785	C₄×Q₈	C₂³×C₇	1	4	yes	—
786	C₄×Q₈	C₂³×C₇	1	8	yes	—
787	C₄×D₄	C₂³×C₇	1	4	yes	—
788	C₄×D₄	C₂³×C₇	1	4	yes	—
789	C₄×D₄	C₂³×C₇	1	4	yes	—
790	C₄×D₄	C₂³×C₇	1	16	yes	—
791	C₄×D₄	C₂³×C₇	1	8	yes	—
792	C₄×D₄	C₂³×C₇	1	4	yes	—
793	C₄×D₄	C₂³×C₇	1	8	yes	—
794	C₄×D₄	C₂³×C₇	1	4	yes	—
795	C₄×D₄	C₂³×C₇	1	8	yes	—
796	C₄×D₄	C₂³×C₇	1	8	yes	—
797	C₄×D₄	C₂³×C₇	1	16	yes	—
798	C₄×D₄	C₂³×C₇	1	4	yes	—
799	C₄×D₄	C₂³×C₇	1	8	yes	—
800	C₄×D₄	C₂³×C₇	1	8	yes	—
801	C₄×D₄	C₂³×C₇	1	16	yes	—
802	C₄×D₄	C₂³×C₇	1	8	yes	—
803	C₄×D₄	C₂³×C₇	1	8	yes	—
804	C₄×D₄	C₂³×C₇	1	8	yes	—
805	C₄×D₄	C₂³×C₇	1	8	yes	—
806	C₄×D₄	C₂³×C₇	1	4	yes	—
807	C₄×D₄	C₂³×C₇	1	4	yes	—
808	C₄×D₄	C₂³×C₇	1	4	yes	—
809	C₄×D₄	C₂³×C₇	1	4	yes	—
810	C₄×D₄	C₂³×C₇	1	16	yes	—
811	C₄×D₄	C₂³×C₇	1	8	yes	—
812	#117	C₂³×C₇	1	4	yes	—
813	#117	C₂³×C₇	1	8	yes	—
814	#117	C₂³×C₇	1	8	yes	—
815	#117	C₂³×C₇	1	4	yes	—
816	#117	C₂³×C₇	1	4	yes	—
817	#117	C₂³×C₇	1	8	yes	—
818	#117	C₂³×C₇	1	4	yes	—
819	#117	C₂³×C₇	1	4	yes	—
820	#117	C₂³×C₇	1	8	yes	—
821	#117	C₂³×C₇	1	8	yes	—
822	#117	C₂³×C₇	1	8	yes	—
823	#117	C₂³×C₇	1	16	yes	—
824	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
825	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
826	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
827	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
828	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
829	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
830	C₂×C₄²	C₂³×C₇	1	8	yes	—
831	C₂×C₄²	C₂³×C₇	1	2	yes	—
832	C₂×C₄²	C₂³×C₇	1	8	yes	—
833	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
834	C₂×C₄²	C₂³×C₇	1	2	yes	—
835	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
836	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
837	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
838	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
839	C₂×C₄²	C₂³×C₇	1	2	yes	—
840	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
841	C₂²×C₇	—	2	2	no	—
842	C₂²×C₇	—	2	4	no	—
843	C₂²×C₇	—	2	1	no	—
844	C₂²×C₇	—	2	1	no	—
845	C₂²×C₇	—	2	4	no	—
846	C₂²×C₇	—	2	8	no	—
847	C₂²×C₇	—	2	2	no	—
848	C₂²×C₇	—	2	2	no	—
849	C₂²×C₇	—	2	8	no	—
850	C₂²×C₇	—	2	8	no	—
851	C₂²×C₇	—	2	8	no	—
852	C₂²×C₇	—	2	8	no	—
853	C₂²×C₇	—	4	4	no	—
854	C₂²×C₇	—	8	8	no	—
855	C₂²×C₇	—	8	16	no	—
856	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
857	C₂²×C₇	C₂⁶	1	1	yes	characteristic
858	C₄×C₇	—	2	4	no	—
859	C₄×C₇	—	2	1	no	—
860	C₄×C₇	—	2	1	no	—
861	C₄×C₇	—	2	4	no	—
862	C₄×C₇	—	2	8	no	—
863	C₄×C₇	—	2	2	no	—
864	C₄×C₇	—	2	2	no	—
865	C₄×C₇	—	2	8	no	—
866	C₄×C₇	—	2	2	no	—
867	C₄×C₇	—	2	8	no	—
868	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
869	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
870	C₄×C₇	#585	1	4	yes	—
871	C₂⁴	C₂⁴×C₇	1	4	yes	—
872	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
873	C₂⁴	C₂⁴×C₇	1	8	yes	—
874	#41	—	2	16	no	—
875	#41	—	4	4	no	—
876	#41	—	4	8	no	—
877	#41	—	4	4	no	—
878	#41	—	4	8	no	—
879	#41	—	4	4	no	—
880	#41	—	4	4	no	—
881	#41	—	4	16	no	—
882	#41	—	4	8	no	—
883	#41	—	4	16	no	—
884	#41	—	4	16	no	—
885	#41	—	4	8	no	—
886	#41	—	4	16	no	—
887	C₂×Q₈	—	4	4	no	—
888	C₂×Q₈	—	4	8	no	—
889	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
890	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
891	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
892	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
893	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
894	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
895	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
896	C₂×D₄	—	4	8	no	—
897	C₂×D₄	—	4	8	no	—
898	C₂×D₄	—	4	16	no	—
899	C₂×D₄	—	4	4	no	—
900	C₂×D₄	—	4	8	no	—
901	C₂×D₄	—	4	16	no	—
902	C₂×D₄	C₂⁴×C₇	1	4	yes	—
903	C₂×D₄	C₂⁴×C₇	1	4	yes	—
904	C₂×D₄	C₂⁴×C₇	1	4	yes	—
905	C₂×D₄	C₂⁴×C₇	1	8	yes	—
906	C₂×D₄	C₂⁴×C₇	1	4	yes	—
907	C₂×D₄	C₂⁴×C₇	1	4	yes	—
908	C₂×D₄	C₂⁴×C₇	1	16	yes	—
909	C₂×D₄	C₂⁴×C₇	1	8	yes	—
910	C₂×D₄	C₂⁴×C₇	1	8	yes	—
911	C₂×D₄	C₂⁴×C₇	1	16	yes	—
912	C₂×D₄	C₂⁴×C₇	1	8	yes	—
913	C₂×D₄	C₂⁴×C₇	1	2	yes	—
914	C₂×D₄	C₂⁴×C₇	1	4	yes	—
915	C₂×D₄	C₂⁴×C₇	1	4	yes	—
916	C₂×D₄	C₂⁴×C₇	1	4	yes	—
917	C₂×D₄	C₂⁴×C₇	1	8	yes	—
918	C₂×D₄	C₂⁴×C₇	1	16	yes	—
919	C₂×D₄	C₂⁴×C₇	1	4	yes	—
920	C₂×D₄	C₂⁴×C₇	1	4	yes	—
921	C₂×D₄	C₂⁴×C₇	1	2	yes	—
922	C₂²×C₄	—	2	4	no	—
923	C₂²×C₄	—	2	16	no	—
924	C₂²×C₄	—	4	4	no	—
925	C₂²×C₄	—	4	16	no	—
926	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
927	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
928	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
929	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
930	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
931	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
932	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
933	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
934	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
936	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
937	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
938	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
939	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
940	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
941	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
942	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
943	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
944	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
945	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
946	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
947	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
948	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
949	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
950	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
951	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
952	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
953	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
954	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
955	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
956	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
957	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
958	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
959	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
960	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
961	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
962	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
963	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
964	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
965	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
966	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
967	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
968	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
969	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
970	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
971	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
972	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
973	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
974	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
975	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
976	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
977	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
978	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
979	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
980	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
981	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
982	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
983	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
984	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
985	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
986	C₄²	C₂⁴×C₇	1	2	yes	—
987	C₄²	C₂⁴×C₇	1	1	yes	characteristic
988	C₄²	C₂⁴×C₇	1	2	yes	—
989	C₄²	C₂⁴×C₇	1	8	yes	—
990	C₄²	C₂⁴×C₇	1	2	yes	—
991	C₄²	C₂⁴×C₇	1	2	yes	—
992	C₄²	C₂⁴×C₇	1	2	yes	—
993	C₄²	C₂⁴×C₇	1	1	yes	characteristic
994	C₄²	C₂⁴×C₇	1	2	yes	—
995	C₄²	C₂⁴×C₇	1	1	yes	characteristic
996	C₄²	C₂⁴×C₇	1	1	yes	characteristic
997	C₄²	C₂⁴×C₇	1	8	yes	—
998	C₄²	C₂⁴×C₇	1	8	yes	—
999	C₄²	C₂⁴×C₇	1	8	yes	—
1000	C₄²	C₂⁴×C₇	1	8	yes	—
1001	C₂×C₇	—	2	2	no	—
1002	C₂×C₇	—	4	1	no	—
1003	C₂×C₇	—	4	1	no	—
1004	C₂×C₇	—	4	4	no	—
1005	C₂×C₇	—	4	8	no	—
1006	C₂×C₇	—	4	4	no	—
1007	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1008	C₂×C₇	C₂×#585	1	2	yes	—
1009	C₂³	—	2	2	no	—
1010	C₂³	—	2	8	no	—
1011	C₂³	—	4	2	no	—
1012	C₂³	—	4	8	no	—
1013	C₂³	—	4	8	no	—
1014	C₂³	—	4	16	no	—
1015	C₂³	C₂⁵×C₇	1	4	yes	—
1016	C₂³	C₂⁵×C₇	1	8	yes	—
1017	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1018	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1019	C₂³	C₂⁵×C₇	1	4	yes	—
1020	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1021	Q₈	—	2	8	no	—
1022	Q₈	—	2	8	no	—
1023	Q₈	—	4	2	no	—
1024	Q₈	—	4	4	no	—
1025	Q₈	—	4	2	no	—
1026	Q₈	—	4	8	no	—
1027	Q₈	—	4	4	no	—
1028	D₄	—	2	16	no	—
1029	D₄	—	2	8	no	—
1030	D₄	—	2	8	no	—
1031	D₄	—	2	8	no	—
1032	D₄	—	2	8	no	—
1033	D₄	—	4	8	no	—
1034	D₄	—	4	16	no	—
1035	D₄	—	4	4	no	—
1036	D₄	—	4	4	no	—
1037	D₄	—	4	2	no	—
1038	D₄	—	4	4	no	—
1039	D₄	—	4	4	no	—
1040	D₄	—	4	2	no	—
1041	D₄	—	4	4	no	—
1042	D₄	—	4	8	no	—
1043	D₄	—	4	16	no	—
1044	D₄	—	4	8	no	—
1045	D₄	—	4	4	no	—
1046	D₄	—	4	8	no	—
1047	D₄	—	4	16	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	8	no	—
1050	C₂×C₄	—	2	8	no	—
1051	C₂×C₄	—	2	8	no	—
1052	C₂×C₄	—	2	8	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	8	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	16	no	—
1059	C₂×C₄	—	2	4	no	—
1060	C₂×C₄	—	2	4	no	—
1061	C₂×C₄	—	2	4	no	—
1062	C₂×C₄	—	2	16	no	—
1063	C₂×C₄	—	4	2	no	—
1064	C₂×C₄	—	4	2	no	—
1065	C₂×C₄	—	4	2	no	—
1066	C₂×C₄	—	4	8	no	—
1067	C₂×C₄	—	4	16	no	—
1068	C₂×C₄	—	4	8	no	—
1069	C₂×C₄	—	4	16	no	—
1070	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
1071	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1072	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1073	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1074	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1075	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1076	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1077	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1078	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1079	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1080	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1081	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1082	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1083	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1084	C₇	#62759	1	1	yes	characteristic, direct product factor, Sylow
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	4	no	—
1087	C₂²	—	2	1	no	—
1088	C₂²	—	2	1	no	—
1089	C₂²	—	2	4	no	—
1090	C₂²	—	2	8	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	2	8	no	—
1094	C₂²	—	2	8	no	—
1095	C₂²	—	2	8	no	—
1096	C₂²	—	2	8	no	—
1097	C₂²	—	4	4	no	—
1098	C₂²	—	8	8	no	—
1099	C₂²	—	8	16	no	—
1100	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1101	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1102	C₄	—	2	4	no	—
1103	C₄	—	2	1	no	—
1104	C₄	—	2	1	no	—
1105	C₄	—	2	4	no	—
1106	C₄	—	2	8	no	—
1107	C₄	—	2	2	no	—
1108	C₄	—	2	2	no	—
1109	C₄	—	2	8	no	—
1110	C₄	—	2	2	no	—
1111	C₄	—	2	8	no	—
1112	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1113	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1114	C₄	C₇×#585	1	4	yes	—
1115	C₂	—	2	2	no	—
1116	C₂	—	4	1	no	—
1117	C₂	—	4	1	no	—
1118	C₂	—	4	4	no	—
1119	C₂	—	4	8	no	—
1120	C₂	—	4	4	no	—
1121	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1122	C₂	C₂×C₇×#585	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
socle	C₂²×C₇	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3551	C₂	semidirect
2. C₇×#3550	C₂	semidirect
3. C₇×#3549	C₂	semidirect
4. C₇×#3548	C₂	semidirect
5. C₇×#3547	C₂	semidirect
6. C₇×#3546	C₂	semidirect
7. C₇×#3545	C₂	semidirect
8. C₇×#3544	C₂	semidirect
9. C₇×#3543	C₂	semidirect
10. C₇×#3542	C₂	semidirect
11. C₇×#3529	C₂	semidirect
12. C₇×#3483	C₂	semidirect
13. C₇×#3481	C₂	semidirect
14. C₇×#3475	C₂	semidirect
15. C₇×D₄×#41	C₂	semidirect
16. C₇×#3460	C₂	semidirect
17. C₇×#3449	C₂	semidirect
18. C₇×#3444	C₂	semidirect
19. C₂×C₇×#532	C₂	semidirect
20. C₂²×C₇×#41	C₂²	semidirect
21. C₂²×C₇×#41	C₂²	semidirect
22. C₇×#563	C₂²	semidirect
23. C₇×#563	C₂²	semidirect
24. C₇×#562	C₂²	semidirect
25. C₇×#562	C₂²	semidirect
26. C₇×H(3,𝔽₄)	C₂²	semidirect
27. C₇×#560	C₂²	semidirect
28. C₇×#560	C₂²	semidirect
29. C₇×#559	C₂²	semidirect
30. C₇×Q₈²	C₂²	semidirect
31. C₇×#556	C₂²	semidirect
32. C₇×#555	C₂²	semidirect
33. C₇×#555	C₂²	semidirect
34. C₇×#555	C₂²	semidirect
35. C₇×#555	C₂²	semidirect
36. C₇×#554	C₂²	semidirect
37. C₇×#554	C₂²	semidirect
38. C₇×#553	C₂²	semidirect
39. C₇×#553	C₂²	semidirect
40. C₇×#552	C₂²	semidirect
41. C₇×#552	C₂²	semidirect
42. C₇×#551	C₂²	semidirect
43. C₇×#551	C₂²	semidirect
44. C₇×#550	C₂²	semidirect
45. C₇×#550	C₂²	semidirect
46. C₇×#550	C₂²	semidirect
47. C₇×D₄×Q₈	C₂²	semidirect
48. C₇×#548	C₂²	semidirect
49. C₇×#547	C₂²	semidirect
50. C₇×#547	C₂²	semidirect
51. C₇×#547	C₂²	semidirect
52. C₇×#546	C₂²	semidirect
53. C₇×#546	C₂²	semidirect
54. C₇×#546	C₂²	semidirect
55. C₇×#546	C₂²	semidirect
56. C₇×D₄²	C₂²	semidirect
57. C₇×D₄²	C₂²	semidirect
58. C₇×D₄²	C₂²	semidirect
59. C₇×#544	C₂²	semidirect
60. C₇×#542	C₂²	semidirect
61. C₇×#542	C₂²	semidirect
62. C₇×#542	C₂²	semidirect
63. C₇×#540	C₂²	semidirect
64. C₇×#540	C₂²	semidirect
65. C₇×#540	C₂²	semidirect
66. C₇×#538	C₂²	semidirect
67. C₇×#538	C₂²	semidirect
68. C₇×#537	C₂²	semidirect
69. C₇×#537	C₂²	semidirect
70. C₇×#537	C₂²	semidirect
71. C₇×#536	C₂²	semidirect
72. C₇×#536	C₂²	semidirect
73. C₇×#536	C₂²	semidirect
74. C₇×#535	C₂²	semidirect
75. C₇×#535	C₂²	semidirect
76. C₇×#535	C₂²	semidirect
77. C₇×#535	C₂²	semidirect
78. C₇×#535	C₂²	semidirect
79. C₇×#534	C₂²	semidirect
80. C₇×#534	C₂²	semidirect
81. C₇×#533	C₂²	semidirect
82. C₇×#533	C₂²	semidirect
83. C₇×#533	C₂²	semidirect
87. C₇×#532	C₂²	semidirect
88. C₇×#532	C₂²	semidirect
89. C₇×#532	C₂²	semidirect
90. C₇×#532	C₂²	semidirect
91. C₇×#532	C₂²	semidirect
92. C₇×#532	C₂²	semidirect
93. C₇×#532	C₂²	semidirect
94. C₇×#532	C₂²	semidirect
95. C₇×#532	C₂²	semidirect
96. C₇×#532	C₂²	semidirect
97. C₇×#532	C₂²	semidirect
98. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
100. C₇×#529	C₂²	semidirect
101. C₇×#529	C₂²	semidirect
102. C₇×#529	C₂²	semidirect
103. C₇×#529	C₂²	semidirect
104. C₇×#529	C₂²	semidirect
105. C₇×#529	C₂²	semidirect
106. C₇×#529	C₂²	semidirect
107. C₇×#529	C₂²	semidirect
108. C₂×C₇×#124	C₂²	semidirect
109. C₇×#525	C₂²	semidirect
110. C₇×#525	C₂²	semidirect
111. C₇×#525	C₂²	semidirect
112. C₇×#525	C₂²	semidirect
113. C₇×#525	C₂²	semidirect
114. C₇×#525	C₂²	semidirect
115. C₇×#525	C₂²	semidirect
116. C₂×C₇×#121	C₂²	semidirect
117. C₄×C₇×#41	C₂²	semidirect
118. C₄×C₇×#41	C₂²	semidirect
119. C₄×C₇×#41	C₂²	semidirect
120. C₄×C₇×#41	C₂²	semidirect
121. C₂×C₄×C₇×D₄	C₂²	semidirect
122. C₂×C₄×C₇×D₄	C₂²	semidirect
123. C₂×C₇×#117	C₂²	semidirect
124. C₂²×C₄²×C₇	C₂²	semidirect
125. #62759	C₇	direct (N × H)
319. #3551	C₂×C₇	semidirect
320. #3550	C₂×C₇	semidirect
321. #3549	C₂×C₇	semidirect
322. #3548	C₂×C₇	semidirect
323. #3547	C₂×C₇	semidirect
324. #3546	C₂×C₇	semidirect
325. #3545	C₂×C₇	semidirect
326. #3544	C₂×C₇	semidirect
327. #3543	C₂×C₇	semidirect
328. #3542	C₂×C₇	semidirect
329. #3529	C₂×C₇	semidirect
330. #3483	C₂×C₇	semidirect
331. #3481	C₂×C₇	semidirect
332. #3475	C₂×C₇	semidirect
333. D₄×#41	C₂×C₇	semidirect
334. #3460	C₂×C₇	semidirect
335. #3449	C₂×C₇	semidirect
336. #3444	C₂×C₇	semidirect
337. C₂×#532	C₂×C₇	semidirect
468. C₂²×#41	C₂²×C₇	semidirect
469. C₂²×#41	C₂²×C₇	semidirect
470. #563	C₂²×C₇	semidirect
471. #563	C₂²×C₇	semidirect
472. #562	C₂²×C₇	semidirect
473. #562	C₂²×C₇	semidirect
474. H(3,𝔽₄)	C₂²×C₇	semidirect
475. #560	C₂²×C₇	semidirect
476. #560	C₂²×C₇	semidirect
477. #559	C₂²×C₇	semidirect
478. Q₈²	C₂²×C₇	semidirect
479. #556	C₂²×C₇	semidirect
480. #555	C₂²×C₇	semidirect
481. #555	C₂²×C₇	semidirect
482. #555	C₂²×C₇	semidirect
483. #555	C₂²×C₇	semidirect
484. #554	C₂²×C₇	semidirect
485. #554	C₂²×C₇	semidirect
486. #553	C₂²×C₇	semidirect
487. #553	C₂²×C₇	semidirect
488. #552	C₂²×C₇	semidirect
489. #552	C₂²×C₇	semidirect
490. #551	C₂²×C₇	semidirect
491. #551	C₂²×C₇	semidirect
492. #550	C₂²×C₇	semidirect
493. #550	C₂²×C₇	semidirect
494. #550	C₂²×C₇	semidirect
495. D₄×Q₈	C₂²×C₇	semidirect
496. #548	C₂²×C₇	semidirect
497. #547	C₂²×C₇	semidirect
498. #547	C₂²×C₇	semidirect
499. #547	C₂²×C₇	semidirect
500. #546	C₂²×C₇	semidirect
501. #546	C₂²×C₇	semidirect
502. #546	C₂²×C₇	semidirect
503. #546	C₂²×C₇	semidirect
504. D₄²	C₂²×C₇	semidirect
505. D₄²	C₂²×C₇	semidirect
506. D₄²	C₂²×C₇	semidirect
507. #544	C₂²×C₇	semidirect
508. #542	C₂²×C₇	semidirect
509. #542	C₂²×C₇	semidirect
510. #542	C₂²×C₇	semidirect
511. #540	C₂²×C₇	semidirect
512. #540	C₂²×C₇	semidirect
513. #540	C₂²×C₇	semidirect
514. #538	C₂²×C₇	semidirect
515. #538	C₂²×C₇	semidirect
516. #537	C₂²×C₇	semidirect
517. #537	C₂²×C₇	semidirect
518. #537	C₂²×C₇	semidirect
519. #536	C₂²×C₇	semidirect
520. #536	C₂²×C₇	semidirect
521. #536	C₂²×C₇	semidirect
522. #535	C₂²×C₇	semidirect
523. #535	C₂²×C₇	semidirect
524. #535	C₂²×C₇	semidirect
525. #535	C₂²×C₇	semidirect
526. #535	C₂²×C₇	semidirect
527. #534	C₂²×C₇	semidirect
528. #534	C₂²×C₇	semidirect
529. #533	C₂²×C₇	semidirect
530. #533	C₂²×C₇	semidirect
531. #533	C₂²×C₇	semidirect
535. #532	C₂²×C₇	semidirect
536. #532	C₂²×C₇	semidirect
537. #532	C₂²×C₇	semidirect
538. #532	C₂²×C₇	semidirect
539. #532	C₂²×C₇	semidirect
540. #532	C₂²×C₇	semidirect
541. #532	C₂²×C₇	semidirect
542. #532	C₂²×C₇	semidirect
543. #532	C₂²×C₇	semidirect
544. #532	C₂²×C₇	semidirect
545. #532	C₂²×C₇	semidirect
546. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
548. #529	C₂²×C₇	semidirect
549. #529	C₂²×C₇	semidirect
550. #529	C₂²×C₇	semidirect
551. #529	C₂²×C₇	semidirect
552. #529	C₂²×C₇	semidirect
553. #529	C₂²×C₇	semidirect
554. #529	C₂²×C₇	semidirect
555. #529	C₂²×C₇	semidirect
556. C₂×#124	C₂²×C₇	semidirect
557. #525	C₂²×C₇	semidirect
558. #525	C₂²×C₇	semidirect
559. #525	C₂²×C₇	semidirect
560. #525	C₂²×C₇	semidirect
561. #525	C₂²×C₇	semidirect
562. #525	C₂²×C₇	semidirect
563. #525	C₂²×C₇	semidirect
564. C₂×#121	C₂²×C₇	semidirect
565. C₄×#41	C₂²×C₇	semidirect
566. C₄×#41	C₂²×C₇	semidirect
567. C₄×#41	C₂²×C₇	semidirect
568. C₄×#41	C₂²×C₇	semidirect
569. C₂×C₄×D₄	C₂²×C₇	semidirect
570. C₂×C₄×D₄	C₂²×C₇	semidirect
571. C₂×#117	C₂²×C₇	semidirect
572. C₂²×C₄²	C₂²×C₇	semidirect
1084. C₇	#62759	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#3551	2
C₇×#3550	2
C₇×#3549	2
C₇×#3548	2
C₇×#3547	2
C₇×#3546	2
C₇×#3545	2
C₇×#3544	2
C₇×#3543	2
C₇×#3542	2
C₇×#3529	2
C₇×#3483	2
C₇×#3481	2
C₇×#3475	2
C₇×D₄×#41	2
C₇×#3460	2
C₇×#3449	2
C₇×#3444	2
C₂×C₇×#532	2
#62759	7

Subgroups — C7×#62759 #13239975

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62759 #13239975