Subgroups — C₇×#61385 #13238601

Order 1792.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1086 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3504	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3501	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3389	C₂	1	2	yes	maximal, complemented
4	C₇×#3389	C₂	1	2	yes	maximal, complemented
5	C₇×#3388	C₂	1	2	yes	maximal, complemented
6	C₇×#3388	C₂	1	2	yes	maximal, complemented
7	C₇×#3386	C₂	1	2	yes	maximal, complemented
8	C₇×#3384	C₂	1	2	yes	maximal, complemented
9	C₇×#3381	C₂	1	2	yes	maximal, complemented
10	C₇×#3380	C₂	1	2	yes	maximal, complemented
11	C₇×#3166	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3164	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3163	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3084	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3083	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3081	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3081	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3076	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₇×#478	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2962	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2946	C₂	1	1	yes	maximal, characteristic
22	C₇×#2946	C₂	1	1	yes	maximal, characteristic
23	C₄×C₇×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic
24	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₇×#557	C₂²	1	2	yes	complemented
26	C₇×#557	C₂²	1	2	yes	complemented
27	C₇×#554	—	2	1	no	—
28	C₇×#554	—	2	1	no	—
29	C₇×#554	—	2	1	no	—
30	C₇×#554	—	2	2	no	—
31	C₇×#554	—	2	2	no	—
32	C₇×#554	C₂²	1	2	yes	—
33	C₇×#554	C₂²	1	2	yes	—
34	C₇×#554	C₂²	1	2	yes	—
35	C₇×#554	C₂²	1	2	yes	complemented
36	C₇×#554	C₂²	1	2	yes	complemented
37	C₇×D₄×Q₈	—	2	1	no	—
38	C₇×D₄×Q₈	C₂²	1	2	yes	—
39	C₇×#544	—	2	1	no	—
40	C₇×#544	—	2	1	no	—
41	C₇×#544	C₂²	1	1	yes	characteristic
42	C₇×#544	C₂²	1	1	yes	characteristic
43	C₇×#544	C₂²	1	1	yes	characteristic
44	C₇×#544	C₂²	1	1	yes	characteristic
45	C₇×#543	—	2	2	no	—
46	C₇×#533	—	2	1	no	—
47	C₇×#533	C₂²	1	1	yes	characteristic
48	C₇×#533	C₂²	1	1	yes	characteristic
49	C₂×C₇×#125	—	2	1	no	—
50	C₂×C₇×#125	C₂²	1	1	yes	characteristic
51	C₂×C₇×C₂²⋊Q₈	—	2	2	no	—
52	C₇×#520	C₂²	1	1	yes	characteristic
53	C₇×#520	C₂²	1	1	yes	characteristic
54	C₇×#518	C₂²	1	1	yes	characteristic
55	C₇×#518	C₂²	1	1	yes	characteristic
56	C₄×C₇×#41	C₂²	1	1	yes	characteristic
57	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
58	C₇×#501	C₂²	1	2	yes	complemented
59	C₇×#501	C₂²	1	2	yes	complemented
60	C₇×#501	C₂²	1	2	yes	complemented
61	C₇×#501	C₂²	1	2	yes	complemented
62	C₇×#501	C₂²	1	2	yes	complemented
63	C₇×#501	C₂²	1	2	yes	complemented
64	C₇×#500	C₂²	1	2	yes	complemented
65	C₇×#499	C₂²	1	2	yes	complemented
66	C₇×#499	C₂²	1	2	yes	complemented
67	C₇×#499	C₂²	1	2	yes	complemented
68	C₇×#499	C₂²	1	2	yes	complemented
69	C₇×#498	C₂²	1	2	yes	complemented
70	C₇×#479	C₂²	1	1	yes	characteristic, complemented
71	C₇×#479	C₂²	1	1	yes	characteristic, complemented
72	C₇×#479	C₂²	1	2	yes	complemented
73	C₇×#479	C₂²	1	2	yes	complemented
74	C₇×#478	C₂²	1	2	yes	—
75	C₇×#478	C₂²	1	2	yes	—
76	C₇×#478	C₂²	1	2	yes	—
77	C₇×#478	C₂²	1	2	yes	—
78	C₇×#478	C₂²	1	2	yes	—
79	C₇×#478	C₂²	1	2	yes	—
80	C₇×#478	C₂²	1	2	yes	—
81	C₇×#478	C₂²	1	2	yes	—
82	C₇×#478	C₂²	1	1	yes	characteristic, complemented
83	C₇×#478	C₂²	1	1	yes	characteristic, complemented
84	C₇×#478	C₂²	1	2	yes	complemented
85	C₇×#478	C₂²	1	2	yes	complemented
86	C₇×#477	C₂²	1	1	yes	characteristic, complemented
87	C₇×#477	C₂²	1	2	yes	complemented
88	C₇×#476	C₂²	1	2	yes	—
89	C₇×#476	C₂²	1	2	yes	—
90	C₇×#476	C₂²	1	1	yes	characteristic, complemented
91	C₇×#476	C₂²	1	2	yes	complemented
92	C₇×#475	C₂²	1	1	yes	characteristic, complemented
93	C₇×#475	C₂²	1	2	yes	complemented
94	C₇×#474	C₂²	1	2	yes	—
95	C₇×#474	C₂²	1	2	yes	—
96	C₇×#474	C₂²	1	1	yes	characteristic, complemented
97	C₇×#474	C₂²	1	2	yes	complemented
98	C₇×#446	C₂²	1	2	yes	complemented
99	C₇×#446	C₂²	1	2	yes	complemented
100	C₇×#446	C₂²	1	2	yes	complemented
101	C₇×C₈×Q₈	C₂²	1	2	yes	complemented
102	C₇×#442	C₂²	1	2	yes	—
103	C₇×#442	C₂²	1	2	yes	—
104	C₇×#442	C₂²	1	2	yes	—
105	C₇×#440	C₂²	1	2	yes	—
106	C₇×#440	C₂²	1	2	yes	—
107	C₇×#440	C₂²	1	2	yes	—
108	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
109	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
110	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
111	C₄×C₇×D₈	C₂²	1	2	yes	—
112	C₄×C₇×D₈	C₂²	1	2	yes	—
113	C₄×C₇×D₈	C₂²	1	2	yes	—
114	C₇×#428	C₂²	1	1	yes	characteristic
115	C₇×#428	C₂²	1	1	yes	characteristic
116	C₇×#428	C₂²	1	1	yes	characteristic
117	C₇×#428	C₂²	1	1	yes	characteristic
118	C₇×#428	C₂²	1	1	yes	characteristic
119	C₇×#427	C₂²	1	1	yes	characteristic
120	C₇×#427	C₂²	1	1	yes	characteristic
121	C₂×C₇×#107	C₂²	1	1	yes	characteristic
122	C₂×C₇×#106	C₂²	1	1	yes	characteristic
123	C₇×#424	C₂²	1	1	yes	characteristic
124	C₇×#424	C₂²	1	1	yes	characteristic
125	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₇×#418	C₂²	1	1	yes	characteristic
127	C₇×#417	C₂²	1	1	yes	characteristic
128	C₇×#416	C₂²	1	1	yes	characteristic
129	C₇×#416	C₂²	1	1	yes	characteristic
130	C₂×C₇×#102	C₂²	1	1	yes	characteristic
131	C₂×C₇×#102	C₂²	1	1	yes	characteristic
132	C₇×#405	C₂²	1	1	yes	characteristic
133	C₇×#405	C₂²	1	1	yes	characteristic
134	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic
135	#61385	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	C₂³	1	1	yes	characteristic
137	C₂²×C₇×Q₈	—	2	2	no	—
138	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₇	—	2	1	no	—
140	C₇×AGL(1,ℤ/8)	Q₈	1	8	yes	complemented
141	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
142	C₂×C₇×D₈	C₂³	1	2	yes	—
143	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
145	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
146	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
147	C₇×C₄⋊Q₈	—	2	2	no	—
148	C₇×C₄⋊Q₈	—	2	2	no	—
149	C₇×C₄⋊Q₈	—	2	1	no	—
150	C₇×C₄⋊Q₈	—	2	1	no	—
151	C₇×C₄⋊Q₈	—	2	1	no	—
152	C₇×C₄⋊Q₈	—	2	1	no	—
153	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
154	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
155	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
158	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
159	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₇×#125	—	2	1	no	—
162	C₇×#125	—	2	1	no	—
163	C₇×#125	—	2	2	no	—
164	C₇×#125	—	2	2	no	—
165	C₇×#125	—	2	2	no	—
166	C₇×#125	—	2	2	no	—
167	C₇×#125	—	2	1	no	—
168	C₇×#125	—	2	1	no	—
169	C₇×#125	—	2	1	no	—
170	C₇×#125	—	2	1	no	—
171	C₇×#125	D₄	1	1	yes	characteristic
172	C₇×#125	D₄	1	1	yes	characteristic
173	C₇×#125	C₂³	1	2	yes	—
174	C₇×#125	C₂³	1	2	yes	—
175	C₇×#125	C₂³	1	2	yes	—
176	C₇×#125	C₂³	1	2	yes	—
177	C₇×#125	C₂³	1	1	yes	characteristic
178	C₇×#125	C₂³	1	1	yes	characteristic
179	C₇×#125	C₂³	1	2	yes	—
180	C₇×#125	C₂³	1	2	yes	—
181	C₇×C₂²⋊Q₈	—	2	2	no	—
182	C₇×C₂²⋊Q₈	—	2	2	no	—
183	C₇×C₂²⋊Q₈	—	2	2	no	—
184	C₇×C₂²⋊Q₈	—	2	2	no	—
185	C₇×C₂²⋊Q₈	—	2	2	no	—
186	C₇×C₂²⋊Q₈	—	2	1	no	—
187	C₇×C₂²⋊Q₈	—	2	1	no	—
188	C₇×C₂²⋊Q₈	—	2	2	no	—
189	C₇×C₂²⋊Q₈	—	2	2	no	—
190	C₇×C₂²⋊Q₈	—	2	2	no	—
191	C₇×C₂²⋊Q₈	—	2	2	no	—
192	C₇×C₂²⋊Q₈	—	2	2	no	—
193	C₇×C₂²⋊Q₈	—	2	2	no	—
194	C₇×C₂²⋊Q₈	—	2	2	no	—
195	C₇×C₂²⋊Q₈	—	2	2	no	—
196	C₇×C₂²⋊Q₈	—	2	2	no	—
197	C₇×C₂²⋊Q₈	—	2	2	no	—
198	C₇×C₂²⋊Q₈	—	2	2	no	—
199	C₇×C₂²⋊Q₈	—	2	2	no	—
200	C₇×C₂²⋊Q₈	—	2	2	no	—
201	C₇×C₂²⋊Q₈	—	2	2	no	—
202	C₇×C₂²⋊Q₈	—	2	2	no	—
203	C₇×C₂²⋊Q₈	—	2	2	no	—
204	C₇×C₂²⋊Q₈	—	2	2	no	—
205	C₇×C₂²⋊Q₈	D₄	1	2	yes	—
206	C₇×C₂²⋊Q₈	D₄	1	2	yes	—
207	C₄×C₇×Q₈	—	2	2	no	—
208	C₄×C₇×Q₈	—	2	2	no	—
209	C₄×C₇×Q₈	—	2	1	no	—
210	C₄×C₇×Q₈	—	2	1	no	—
211	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
212	C₄×C₇×Q₈	C₂³	1	2	yes	—
213	C₄×C₇×Q₈	C₂³	1	2	yes	—
214	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
215	C₄×C₇×Q₈	C₂³	1	2	yes	—
216	C₄×C₇×Q₈	C₂³	1	2	yes	—
217	C₄×C₇×D₄	—	2	1	no	—
218	C₄×C₇×D₄	—	2	1	no	—
219	C₄×C₇×D₄	—	2	1	no	—
220	C₄×C₇×D₄	—	2	1	no	—
221	C₄×C₇×D₄	—	2	1	no	—
222	C₄×C₇×D₄	—	2	1	no	—
223	C₄×C₇×D₄	—	2	2	no	—
224	C₄×C₇×D₄	—	2	2	no	—
225	C₄×C₇×D₄	—	2	1	no	—
226	C₄×C₇×D₄	—	2	1	no	—
227	C₄×C₇×D₄	C₂³	1	2	yes	—
228	C₄×C₇×D₄	C₂³	1	2	yes	—
229	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₇×D₄	C₂³	1	2	yes	—
231	C₄×C₇×D₄	C₂³	1	2	yes	—
232	C₄×C₇×D₄	C₂³	1	2	yes	—
233	C₄×C₇×D₄	C₂³	1	2	yes	—
234	C₄×C₇×D₄	C₂³	1	2	yes	—
235	C₄×C₇×D₄	C₂³	1	2	yes	—
236	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
237	C₇×#117	—	2	1	no	—
238	C₇×#117	—	2	1	no	—
239	C₇×#117	—	2	1	no	—
240	C₇×#117	C₂³	1	1	yes	characteristic
241	C₇×#117	C₂³	1	1	yes	characteristic
242	C₇×#117	C₂³	1	1	yes	characteristic
243	C₇×#117	C₂³	1	1	yes	characteristic
244	C₇×#117	C₂³	1	1	yes	characteristic
245	C₂×C₇×C₄⋊C₄	—	2	1	no	—
246	C₂×C₇×C₄⋊C₄	—	2	1	no	—
247	C₂×C₇×C₄⋊C₄	—	2	1	no	—
248	C₂×C₇×C₄⋊C₄	—	2	1	no	—
249	C₂×C₇×C₄⋊C₄	—	2	2	no	—
250	C₂×C₇×C₄⋊C₄	—	2	2	no	—
251	C₂×C₇×C₄⋊C₄	—	2	2	no	—
252	C₂×C₇×C₄⋊C₄	—	2	2	no	—
253	C₂×C₇×C₄⋊C₄	—	2	2	no	—
254	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
258	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
259	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
260	C₂×C₄²×C₇	—	2	1	no	—
261	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
262	C₇×#107	C₂³	1	1	yes	characteristic
263	C₇×#107	C₂³	1	1	yes	characteristic
264	C₇×#107	C₂³	1	2	yes	—
265	C₇×#107	C₂³	1	2	yes	—
266	C₇×#107	C₂³	1	2	yes	—
267	C₇×#107	C₂³	1	1	yes	characteristic
268	C₇×#107	C₂³	1	2	yes	—
269	C₇×#107	C₂³	1	1	yes	characteristic
270	C₇×#107	C₂³	1	2	yes	—
271	C₇×#107	C₂³	1	2	yes	—
272	C₇×#107	C₂³	1	2	yes	—
273	C₇×#106	C₂³	1	1	yes	characteristic
274	C₇×#106	C₂³	1	2	yes	—
275	C₇×#106	C₂³	1	2	yes	—
276	C₇×#106	C₂³	1	1	yes	characteristic
277	C₇×#106	C₂³	1	1	yes	characteristic
278	C₇×#106	C₂³	1	2	yes	—
279	C₇×#106	C₂³	1	1	yes	characteristic
280	C₇×#106	C₂³	1	2	yes	—
281	C₇×#106	C₂³	1	2	yes	—
282	C₇×#106	C₂³	1	2	yes	—
283	C₇×#106	C₂³	1	2	yes	—
284	C₇×C₄⋊C₈	C₂³	1	2	yes	—
285	C₇×C₄⋊C₈	C₂³	1	2	yes	—
286	C₇×C₄⋊C₈	C₂³	1	2	yes	—
287	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₇×C₄⋊C₈	C₂³	1	2	yes	—
290	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₇×#103	C₂³	1	1	yes	characteristic
293	C₇×#103	C₂³	1	2	yes	—
294	C₇×#103	C₂³	1	1	yes	characteristic
295	C₇×#103	C₂³	1	1	yes	characteristic
296	C₇×#103	C₂³	1	1	yes	characteristic
297	C₇×#102	C₂³	1	2	yes	—
298	C₇×#102	C₂³	1	2	yes	—
299	C₇×#102	C₂³	1	2	yes	—
300	C₇×#102	C₂³	1	2	yes	—
301	C₇×#102	C₂³	1	1	yes	characteristic
302	C₇×#102	C₂³	1	2	yes	—
303	C₇×#102	C₂³	1	1	yes	characteristic
304	C₇×#102	C₂³	1	1	yes	characteristic
305	C₇×#102	C₂³	1	2	yes	—
306	C₇×#102	C₂³	1	2	yes	—
307	C₇×#102	C₂³	1	1	yes	characteristic
308	C₇×#97	C₂³	1	2	yes	—
309	C₇×#97	C₂³	1	2	yes	—
310	C₇×#97	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	#3504	C₂×C₇	1	1	yes	characteristic, complemented
315	#3501	C₂×C₇	1	1	yes	characteristic, complemented
316	#3389	C₂×C₇	1	2	yes	complemented
317	#3389	C₂×C₇	1	2	yes	complemented
318	#3388	C₂×C₇	1	2	yes	complemented
319	#3388	C₂×C₇	1	2	yes	complemented
320	#3386	C₂×C₇	1	2	yes	complemented
321	#3384	C₂×C₇	1	2	yes	complemented
322	#3381	C₂×C₇	1	2	yes	complemented
323	#3380	C₂×C₇	1	2	yes	complemented
324	#3166	C₂×C₇	1	1	yes	characteristic, complemented
325	#3164	C₂×C₇	1	1	yes	characteristic, complemented
326	#3163	C₂×C₇	1	1	yes	characteristic, complemented
327	#3084	C₂×C₇	1	1	yes	characteristic, complemented
328	#3083	C₂×C₇	1	1	yes	characteristic, complemented
329	#3081	C₂×C₇	1	1	yes	characteristic, complemented
330	#3081	C₂×C₇	1	1	yes	characteristic, complemented
331	#3076	C₂×C₇	1	1	yes	characteristic, complemented
332	C₂×#478	C₂×C₇	1	1	yes	characteristic, complemented
333	#2962	C₂×C₇	1	1	yes	characteristic, complemented
334	#2946	C₂×C₇	1	1	yes	characteristic
335	#2946	C₂×C₇	1	1	yes	characteristic
336	C₄×AGL(1,ℤ/8)	C₂×C₇	1	1	yes	characteristic
337	C₂⁴×C₇	—	2	1	no	—
338	C₇×#41	—	2	2	no	—
339	C₇×#41	C₂×Q₈	1	4	yes	complemented
340	C₂×C₇×Q₈	—	2	1	no	—
341	C₂×C₇×Q₈	—	2	1	no	—
342	C₂×C₇×Q₈	—	2	2	no	—
343	C₂×C₇×Q₈	—	2	2	no	—
344	C₂×C₇×Q₈	—	2	2	no	—
345	C₂×C₇×Q₈	—	2	2	no	—
346	C₂×C₇×Q₈	—	8	4	no	—
347	C₂×C₇×Q₈	C₂×D₄	1	2	yes	—
348	C₂×C₇×Q₈	C₂×D₄	1	2	yes	—
349	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
350	C₂×C₇×D₄	—	2	1	no	—
351	C₂×C₇×D₄	—	2	1	no	—
352	C₂×C₇×D₄	—	2	2	no	—
353	C₂×C₇×D₄	C₂×Q₈	1	4	yes	—
354	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
355	C₂×C₇×D₄	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₇	—	2	1	no	—
357	C₂²×C₄×C₇	—	2	1	no	—
358	C₂²×C₄×C₇	—	2	1	no	—
359	C₂²×C₄×C₇	—	2	1	no	—
360	C₂²×C₄×C₇	—	2	2	no	—
361	C₂²×C₄×C₇	—	2	1	no	—
362	C₂²×C₄×C₇	—	2	1	no	—
363	C₂²×C₄×C₇	—	2	2	no	—
364	C₂²×C₄×C₇	—	2	2	no	—
365	C₂²×C₄×C₇	—	2	2	no	—
366	C₂²×C₄×C₇	—	2	2	no	—
367	C₂²×C₄×C₇	—	2	2	no	—
368	C₂²×C₄×C₇	—	2	2	no	—
369	C₂²×C₄×C₇	—	2	2	no	—
370	C₂²×C₄×C₇	—	8	2	no	—
371	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
372	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
373	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
374	C₇×SD₁₆	C₂×Q₈	1	8	yes	complemented
375	C₇×D₈	C₂×Q₈	1	8	yes	complemented
376	C₇×M₁₆	—	2	2	no	—
377	C₇×M₁₆	C₂×Q₈	1	4	yes	complemented
378	C₂×C₇×C₈	—	2	2	no	—
379	C₂×C₇×C₈	—	2	2	no	—
380	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
381	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
382	C₂×C₇×C₈	C₂⁴	1	2	yes	—
383	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
384	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
385	C₂×C₇×C₈	C₂⁴	1	2	yes	—
386	C₇×C₄⋊C₄	—	2	1	no	—
387	C₇×C₄⋊C₄	—	2	1	no	—
388	C₇×C₄⋊C₄	—	2	1	no	—
389	C₇×C₄⋊C₄	—	2	2	no	—
390	C₇×C₄⋊C₄	—	2	2	no	—
391	C₇×C₄⋊C₄	—	2	1	no	—
392	C₇×C₄⋊C₄	—	2	1	no	—
393	C₇×C₄⋊C₄	—	2	2	no	—
394	C₇×C₄⋊C₄	—	2	2	no	—
395	C₇×C₄⋊C₄	—	2	2	no	—
396	C₇×C₄⋊C₄	—	2	2	no	—
397	C₇×C₄⋊C₄	—	2	2	no	—
398	C₇×C₄⋊C₄	—	2	2	no	—
399	C₇×C₄⋊C₄	—	2	2	no	—
400	C₇×C₄⋊C₄	—	2	2	no	—
401	C₇×C₄⋊C₄	—	2	2	no	—
402	C₇×C₄⋊C₄	—	2	2	no	—
403	C₇×C₄⋊C₄	—	2	2	no	—
404	C₇×C₄⋊C₄	—	2	2	no	—
405	C₇×C₄⋊C₄	—	2	2	no	—
406	C₇×C₄⋊C₄	—	2	2	no	—
407	C₇×C₄⋊C₄	—	2	1	no	—
408	C₇×C₄⋊C₄	—	2	1	no	—
409	C₇×C₄⋊C₄	—	2	1	no	—
410	C₇×C₄⋊C₄	—	2	1	no	—
411	C₇×C₄⋊C₄	—	2	1	no	—
412	C₇×C₄⋊C₄	—	2	1	no	—
413	C₇×C₄⋊C₄	—	2	2	no	—
414	C₇×C₄⋊C₄	—	2	2	no	—
415	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
416	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
417	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
418	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
419	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
420	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
421	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
422	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
423	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
424	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
425	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
426	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
427	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
428	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
429	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
430	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
431	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
432	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
433	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
434	C₇×C₂²⋊C₄	—	2	1	no	—
435	C₇×C₂²⋊C₄	—	2	1	no	—
436	C₇×C₂²⋊C₄	—	2	1	no	—
437	C₇×C₂²⋊C₄	—	2	2	no	—
438	C₇×C₂²⋊C₄	—	2	2	no	—
439	C₇×C₂²⋊C₄	—	2	2	no	—
440	C₇×C₂²⋊C₄	—	2	2	no	—
441	C₇×C₂²⋊C₄	—	2	2	no	—
442	C₇×C₂²⋊C₄	—	2	2	no	—
443	C₇×C₂²⋊C₄	—	2	1	no	—
444	C₇×C₂²⋊C₄	—	2	1	no	—
445	C₇×C₂²⋊C₄	—	2	2	no	—
446	C₇×C₂²⋊C₄	—	2	2	no	—
447	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
448	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
449	C₄²×C₇	—	2	1	no	—
450	C₄²×C₇	—	2	1	no	—
451	C₄²×C₇	—	2	1	no	—
452	C₄²×C₇	—	2	2	no	—
453	C₄²×C₇	—	2	2	no	—
454	C₄²×C₇	—	2	1	no	—
455	C₄²×C₇	—	2	1	no	—
456	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
457	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
458	C₄²×C₇	C₂⁴	1	1	yes	characteristic
459	C₄²×C₇	C₂⁴	1	2	yes	—
460	C₄²×C₇	C₂⁴	1	2	yes	—
461	C₄²×C₇	C₂⁴	1	1	yes	characteristic
462	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
463	#557	C₂²×C₇	1	2	yes	complemented
464	#557	C₂²×C₇	1	2	yes	complemented
465	#554	—	2	1	no	—
466	#554	—	2	1	no	—
467	#554	—	2	1	no	—
468	#554	—	2	2	no	—
469	#554	—	2	2	no	—
470	#554	C₂²×C₇	1	2	yes	—
471	#554	C₂²×C₇	1	2	yes	—
472	#554	C₂²×C₇	1	2	yes	—
473	#554	C₂²×C₇	1	2	yes	complemented
474	#554	C₂²×C₇	1	2	yes	complemented
475	D₄×Q₈	—	2	1	no	—
476	D₄×Q₈	C₂²×C₇	1	2	yes	—
477	#544	—	2	1	no	—
478	#544	—	2	1	no	—
479	#544	C₂²×C₇	1	1	yes	characteristic
480	#544	C₂²×C₇	1	1	yes	characteristic
481	#544	C₂²×C₇	1	1	yes	characteristic
482	#544	C₂²×C₇	1	1	yes	characteristic
483	#543	—	2	2	no	—
484	#533	—	2	1	no	—
485	#533	C₂²×C₇	1	1	yes	characteristic
486	#533	C₂²×C₇	1	1	yes	characteristic
487	C₂×#125	—	2	1	no	—
488	C₂×#125	C₂²×C₇	1	1	yes	characteristic
489	C₂×C₂²⋊Q₈	—	2	2	no	—
490	#520	C₂²×C₇	1	1	yes	characteristic
491	#520	C₂²×C₇	1	1	yes	characteristic
492	#518	C₂²×C₇	1	1	yes	characteristic
493	#518	C₂²×C₇	1	1	yes	characteristic
494	C₄×#41	C₂²×C₇	1	1	yes	characteristic
495	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
496	#501	C₂²×C₇	1	2	yes	complemented
497	#501	C₂²×C₇	1	2	yes	complemented
498	#501	C₂²×C₇	1	2	yes	complemented
499	#501	C₂²×C₇	1	2	yes	complemented
500	#501	C₂²×C₇	1	2	yes	complemented
501	#501	C₂²×C₇	1	2	yes	complemented
502	#500	C₂²×C₇	1	2	yes	complemented
503	#499	C₂²×C₇	1	2	yes	complemented
504	#499	C₂²×C₇	1	2	yes	complemented
505	#499	C₂²×C₇	1	2	yes	complemented
506	#499	C₂²×C₇	1	2	yes	complemented
507	#498	C₂²×C₇	1	2	yes	complemented
508	#479	C₂²×C₇	1	1	yes	characteristic, complemented
509	#479	C₂²×C₇	1	1	yes	characteristic, complemented
510	#479	C₂²×C₇	1	2	yes	complemented
511	#479	C₂²×C₇	1	2	yes	complemented
512	#478	C₂²×C₇	1	2	yes	—
513	#478	C₂²×C₇	1	2	yes	—
514	#478	C₂²×C₇	1	2	yes	—
515	#478	C₂²×C₇	1	2	yes	—
516	#478	C₂²×C₇	1	2	yes	—
517	#478	C₂²×C₇	1	2	yes	—
518	#478	C₂²×C₇	1	2	yes	—
519	#478	C₂²×C₇	1	2	yes	—
520	#478	C₂²×C₇	1	1	yes	characteristic, complemented
521	#478	C₂²×C₇	1	1	yes	characteristic, complemented
522	#478	C₂²×C₇	1	2	yes	complemented
523	#478	C₂²×C₇	1	2	yes	complemented
524	#477	C₂²×C₇	1	1	yes	characteristic, complemented
525	#477	C₂²×C₇	1	2	yes	complemented
526	#476	C₂²×C₇	1	2	yes	—
527	#476	C₂²×C₇	1	2	yes	—
528	#476	C₂²×C₇	1	1	yes	characteristic, complemented
529	#476	C₂²×C₇	1	2	yes	complemented
530	#475	C₂²×C₇	1	1	yes	characteristic, complemented
531	#475	C₂²×C₇	1	2	yes	complemented
532	#474	C₂²×C₇	1	2	yes	—
533	#474	C₂²×C₇	1	2	yes	—
534	#474	C₂²×C₇	1	1	yes	characteristic, complemented
535	#474	C₂²×C₇	1	2	yes	complemented
536	#446	C₂²×C₇	1	2	yes	complemented
537	#446	C₂²×C₇	1	2	yes	complemented
538	#446	C₂²×C₇	1	2	yes	complemented
539	C₈×Q₈	C₂²×C₇	1	2	yes	complemented
540	#442	C₂²×C₇	1	2	yes	—
541	#442	C₂²×C₇	1	2	yes	—
542	#442	C₂²×C₇	1	2	yes	—
543	#440	C₂²×C₇	1	2	yes	—
544	#440	C₂²×C₇	1	2	yes	—
545	#440	C₂²×C₇	1	2	yes	—
546	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
547	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
548	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
549	C₄×D₈	C₂²×C₇	1	2	yes	—
550	C₄×D₈	C₂²×C₇	1	2	yes	—
551	C₄×D₈	C₂²×C₇	1	2	yes	—
552	#428	C₂²×C₇	1	1	yes	characteristic
553	#428	C₂²×C₇	1	1	yes	characteristic
554	#428	C₂²×C₇	1	1	yes	characteristic
555	#428	C₂²×C₇	1	1	yes	characteristic
556	#428	C₂²×C₇	1	1	yes	characteristic
557	#427	C₂²×C₇	1	1	yes	characteristic
558	#427	C₂²×C₇	1	1	yes	characteristic
559	C₂×#107	C₂²×C₇	1	1	yes	characteristic
560	C₂×#106	C₂²×C₇	1	1	yes	characteristic
561	#424	C₂²×C₇	1	1	yes	characteristic
562	#424	C₂²×C₇	1	1	yes	characteristic
563	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
564	#418	C₂²×C₇	1	1	yes	characteristic
565	#417	C₂²×C₇	1	1	yes	characteristic
566	#416	C₂²×C₇	1	1	yes	characteristic
567	#416	C₂²×C₇	1	1	yes	characteristic
568	C₂×#102	C₂²×C₇	1	1	yes	characteristic
569	C₂×#102	C₂²×C₇	1	1	yes	characteristic
570	#405	C₂²×C₇	1	1	yes	characteristic
571	#405	C₂²×C₇	1	1	yes	characteristic
572	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic
573	C₂³×C₇	—	2	1	no	—
574	C₂³×C₇	—	2	2	no	—
575	C₂³×C₇	—	2	4	no	—
576	C₂³×C₇	—	8	1	no	—
577	C₂³×C₇	—	8	1	no	—
578	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
579	C₇×Q₈	—	2	1	no	—
580	C₇×Q₈	—	4	2	no	—
581	C₇×Q₈	—	4	2	no	—
582	C₇×Q₈	—	4	2	no	—
583	C₇×Q₈	—	8	1	no	—
584	C₇×Q₈	—	8	2	no	—
585	C₇×Q₈	—	8	2	no	—
586	C₇×Q₈	—	8	2	no	—
587	C₇×Q₈	—	8	2	no	—
588	C₇×Q₈	C₂²×Q₈	1	2	yes	—
589	C₇×D₄	—	2	4	no	—
590	C₇×D₄	—	2	4	no	—
591	C₇×D₄	—	2	2	no	—
592	C₇×D₄	—	2	1	no	—
593	C₇×D₄	C₂²×Q₈	1	2	yes	—
594	C₇×D₄	C₂²×Q₈	1	4	yes	—
595	C₂×C₄×C₇	—	2	1	no	—
596	C₂×C₄×C₇	—	2	4	no	—
597	C₂×C₄×C₇	—	2	1	no	—
598	C₂×C₄×C₇	—	2	1	no	—
599	C₂×C₄×C₇	—	2	1	no	—
600	C₂×C₄×C₇	—	2	1	no	—
601	C₂×C₄×C₇	—	2	1	no	—
602	C₂×C₄×C₇	—	2	1	no	—
603	C₂×C₄×C₇	—	2	2	no	—
604	C₂×C₄×C₇	—	2	2	no	—
605	C₂×C₄×C₇	—	2	2	no	—
606	C₂×C₄×C₇	—	4	1	no	—
607	C₂×C₄×C₇	—	4	1	no	—
608	C₂×C₄×C₇	—	4	4	no	—
609	C₂×C₄×C₇	—	8	1	no	—
610	C₂×C₄×C₇	—	8	2	no	—
611	C₂×C₄×C₇	—	8	2	no	—
612	C₂×C₄×C₇	—	8	2	no	—
613	C₂×C₄×C₇	—	8	1	no	—
614	C₂×C₄×C₇	—	8	2	no	—
615	C₂×C₄×C₇	—	8	2	no	—
616	C₂×C₄×C₇	—	8	2	no	—
617	C₂×C₄×C₇	—	8	2	no	—
618	C₂×C₄×C₇	—	8	1	no	—
619	C₂×C₄×C₇	—	8	1	no	—
620	C₂×C₄×C₇	—	8	1	no	—
621	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
622	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
623	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
624	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
625	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
626	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
627	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
628	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
629	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
630	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
631	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
632	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
633	C₇×C₈	—	2	1	no	—
634	C₇×C₈	—	2	1	no	—
635	C₇×C₈	—	2	1	no	—
636	C₇×C₈	—	2	1	no	—
637	C₇×C₈	—	2	2	no	—
638	C₇×C₈	C₂²×Q₈	1	4	yes	—
639	C₂×#41	C₂³×C₇	1	1	yes	characteristic
640	C₂²×Q₈	—	2	2	no	—
641	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
642	C₂³×C₄	—	2	1	no	—
643	AGL(1,ℤ/8)	C₇×Q₈	1	8	yes	complemented
644	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
645	C₂×D₈	C₂³×C₇	1	2	yes	—
646	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
647	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
648	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
649	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
650	C₄⋊Q₈	—	2	2	no	—
651	C₄⋊Q₈	—	2	2	no	—
652	C₄⋊Q₈	—	2	1	no	—
653	C₄⋊Q₈	—	2	1	no	—
654	C₄⋊Q₈	—	2	1	no	—
655	C₄⋊Q₈	—	2	1	no	—
656	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
657	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
658	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
659	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
660	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
661	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
662	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
663	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
664	#125	—	2	1	no	—
665	#125	—	2	1	no	—
666	#125	—	2	2	no	—
667	#125	—	2	2	no	—
668	#125	—	2	2	no	—
669	#125	—	2	2	no	—
670	#125	—	2	1	no	—
671	#125	—	2	1	no	—
672	#125	—	2	1	no	—
673	#125	—	2	1	no	—
674	#125	C₇×D₄	1	1	yes	characteristic
675	#125	C₇×D₄	1	1	yes	characteristic
676	#125	C₂³×C₇	1	2	yes	—
677	#125	C₂³×C₇	1	2	yes	—
678	#125	C₂³×C₇	1	1	yes	characteristic
679	#125	C₂³×C₇	1	1	yes	characteristic
680	#125	C₂³×C₇	1	2	yes	—
681	#125	C₂³×C₇	1	2	yes	—
682	#125	C₂³×C₇	1	2	yes	—
683	#125	C₂³×C₇	1	2	yes	—
684	C₂²⋊Q₈	—	2	2	no	—
685	C₂²⋊Q₈	—	2	2	no	—
686	C₂²⋊Q₈	—	2	2	no	—
687	C₂²⋊Q₈	—	2	2	no	—
688	C₂²⋊Q₈	—	2	2	no	—
689	C₂²⋊Q₈	—	2	1	no	—
690	C₂²⋊Q₈	—	2	1	no	—
691	C₂²⋊Q₈	—	2	2	no	—
692	C₂²⋊Q₈	—	2	2	no	—
693	C₂²⋊Q₈	—	2	2	no	—
694	C₂²⋊Q₈	—	2	2	no	—
695	C₂²⋊Q₈	—	2	2	no	—
696	C₂²⋊Q₈	—	2	2	no	—
697	C₂²⋊Q₈	—	2	2	no	—
698	C₂²⋊Q₈	—	2	2	no	—
699	C₂²⋊Q₈	—	2	2	no	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	—	2	2	no	—
704	C₂²⋊Q₈	—	2	2	no	—
705	C₂²⋊Q₈	—	2	2	no	—
706	C₂²⋊Q₈	—	2	2	no	—
707	C₂²⋊Q₈	—	2	2	no	—
708	C₂²⋊Q₈	C₇×D₄	1	2	yes	—
709	C₂²⋊Q₈	C₇×D₄	1	2	yes	—
710	C₄×Q₈	—	2	2	no	—
711	C₄×Q₈	—	2	2	no	—
712	C₄×Q₈	—	2	1	no	—
713	C₄×Q₈	—	2	1	no	—
714	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
715	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
716	C₄×Q₈	C₂³×C₇	1	2	yes	—
717	C₄×Q₈	C₂³×C₇	1	2	yes	—
718	C₄×Q₈	C₂³×C₇	1	2	yes	—
719	C₄×Q₈	C₂³×C₇	1	2	yes	—
720	C₄×D₄	—	2	1	no	—
721	C₄×D₄	—	2	1	no	—
722	C₄×D₄	—	2	1	no	—
723	C₄×D₄	—	2	1	no	—
724	C₄×D₄	—	2	1	no	—
725	C₄×D₄	—	2	1	no	—
726	C₄×D₄	—	2	2	no	—
727	C₄×D₄	—	2	2	no	—
728	C₄×D₄	—	2	1	no	—
729	C₄×D₄	—	2	1	no	—
730	C₄×D₄	C₂³×C₇	1	2	yes	—
731	C₄×D₄	C₂³×C₇	1	2	yes	—
732	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
733	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
734	C₄×D₄	C₂³×C₇	1	2	yes	—
735	C₄×D₄	C₂³×C₇	1	2	yes	—
736	C₄×D₄	C₂³×C₇	1	2	yes	—
737	C₄×D₄	C₂³×C₇	1	2	yes	—
738	C₄×D₄	C₂³×C₇	1	2	yes	—
739	C₄×D₄	C₂³×C₇	1	2	yes	—
740	#117	—	2	1	no	—
741	#117	—	2	1	no	—
742	#117	—	2	1	no	—
743	#117	C₂³×C₇	1	1	yes	characteristic
744	#117	C₂³×C₇	1	1	yes	characteristic
745	#117	C₂³×C₇	1	1	yes	characteristic
746	#117	C₂³×C₇	1	1	yes	characteristic
747	#117	C₂³×C₇	1	1	yes	characteristic
748	C₂×C₄⋊C₄	—	2	1	no	—
749	C₂×C₄⋊C₄	—	2	1	no	—
750	C₂×C₄⋊C₄	—	2	1	no	—
751	C₂×C₄⋊C₄	—	2	1	no	—
752	C₂×C₄⋊C₄	—	2	2	no	—
753	C₂×C₄⋊C₄	—	2	2	no	—
754	C₂×C₄⋊C₄	—	2	2	no	—
755	C₂×C₄⋊C₄	—	2	2	no	—
756	C₂×C₄⋊C₄	—	2	2	no	—
757	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
760	C₂×C₂²⋊C₄	—	2	1	no	—
761	C₂×C₂²⋊C₄	—	2	2	no	—
762	C₂×C₂²⋊C₄	—	2	2	no	—
763	C₂×C₄²	—	2	1	no	—
764	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
765	#107	C₂³×C₇	1	2	yes	—
766	#107	C₂³×C₇	1	2	yes	—
767	#107	C₂³×C₇	1	1	yes	characteristic
768	#107	C₂³×C₇	1	1	yes	characteristic
769	#107	C₂³×C₇	1	1	yes	characteristic
770	#107	C₂³×C₇	1	1	yes	characteristic
771	#107	C₂³×C₇	1	2	yes	—
772	#107	C₂³×C₇	1	2	yes	—
773	#107	C₂³×C₇	1	2	yes	—
774	#107	C₂³×C₇	1	2	yes	—
775	#107	C₂³×C₇	1	2	yes	—
776	#106	C₂³×C₇	1	2	yes	—
777	#106	C₂³×C₇	1	2	yes	—
778	#106	C₂³×C₇	1	1	yes	characteristic
779	#106	C₂³×C₇	1	1	yes	characteristic
780	#106	C₂³×C₇	1	1	yes	characteristic
781	#106	C₂³×C₇	1	1	yes	characteristic
782	#106	C₂³×C₇	1	2	yes	—
783	#106	C₂³×C₇	1	2	yes	—
784	#106	C₂³×C₇	1	2	yes	—
785	#106	C₂³×C₇	1	2	yes	—
786	#106	C₂³×C₇	1	2	yes	—
787	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
788	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
789	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
790	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
791	C₄⋊C₈	C₂³×C₇	1	2	yes	—
792	C₄⋊C₈	C₂³×C₇	1	2	yes	—
793	C₄⋊C₈	C₂³×C₇	1	2	yes	—
794	C₄⋊C₈	C₂³×C₇	1	2	yes	—
795	#103	C₂³×C₇	1	1	yes	characteristic
796	#103	C₂³×C₇	1	1	yes	characteristic
797	#103	C₂³×C₇	1	1	yes	characteristic
798	#103	C₂³×C₇	1	1	yes	characteristic
799	#103	C₂³×C₇	1	2	yes	—
800	#102	C₂³×C₇	1	2	yes	—
801	#102	C₂³×C₇	1	2	yes	—
802	#102	C₂³×C₇	1	2	yes	—
803	#102	C₂³×C₇	1	2	yes	—
804	#102	C₂³×C₇	1	1	yes	characteristic
805	#102	C₂³×C₇	1	1	yes	characteristic
806	#102	C₂³×C₇	1	1	yes	characteristic
807	#102	C₂³×C₇	1	1	yes	characteristic
808	#102	C₂³×C₇	1	2	yes	—
809	#102	C₂³×C₇	1	2	yes	—
810	#102	C₂³×C₇	1	2	yes	—
811	#97	C₂³×C₇	1	2	yes	—
812	#97	C₂³×C₇	1	2	yes	—
813	#97	C₂³×C₇	1	2	yes	—
814	C₄×C₈	C₂³×C₇	1	2	yes	—
815	C₄×C₈	C₂³×C₇	1	2	yes	—
816	C₄×C₈	C₂³×C₇	1	2	yes	—
817	C₂²×C₇	—	2	1	no	—
818	C₂²×C₇	—	2	1	no	—
819	C₂²×C₇	—	2	2	no	—
820	C₂²×C₇	—	2	4	no	—
821	C₂²×C₇	—	4	1	no	—
822	C₂²×C₇	—	4	2	no	—
823	C₂²×C₇	—	4	2	no	—
824	C₂²×C₇	—	4	1	no	—
825	C₂²×C₇	—	8	4	no	—
826	C₂²×C₇	D₄×Q₈	1	2	yes	—
827	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
828	C₄×C₇	—	2	1	no	—
829	C₄×C₇	—	2	1	no	—
830	C₄×C₇	—	2	2	no	—
831	C₄×C₇	—	2	2	no	—
832	C₄×C₇	—	2	1	no	—
833	C₄×C₇	—	2	1	no	—
834	C₄×C₇	—	2	2	no	—
835	C₄×C₇	—	2	2	no	—
836	C₄×C₇	—	2	2	no	—
837	C₄×C₇	—	4	1	no	—
838	C₄×C₇	—	4	1	no	—
839	C₄×C₇	—	4	2	no	—
840	C₄×C₇	—	4	1	no	—
841	C₄×C₇	—	4	2	no	—
842	C₄×C₇	—	4	1	no	—
843	C₄×C₇	—	4	1	no	—
844	C₄×C₇	—	4	2	no	—
845	C₄×C₇	—	4	1	no	—
846	C₄×C₇	D₄×Q₈	1	2	yes	—
847	C₄×C₇	C₂³×Q₈	1	1	yes	characteristic
848	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
849	C₂⁴	—	2	1	no	—
850	#41	—	2	2	no	—
851	#41	C₂×C₇×Q₈	1	4	yes	complemented
852	C₂×Q₈	—	2	1	no	—
853	C₂×Q₈	—	2	1	no	—
854	C₂×Q₈	—	2	2	no	—
855	C₂×Q₈	—	2	2	no	—
856	C₂×Q₈	—	2	2	no	—
857	C₂×Q₈	—	2	2	no	—
858	C₂×Q₈	—	8	4	no	—
859	C₂×Q₈	C₂×C₇×D₄	1	2	yes	—
860	C₂×Q₈	C₂×C₇×D₄	1	2	yes	—
861	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
862	C₂×D₄	—	2	1	no	—
863	C₂×D₄	—	2	1	no	—
864	C₂×D₄	—	2	2	no	—
865	C₂×D₄	C₂×C₇×Q₈	1	4	yes	—
866	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
867	C₂×D₄	C₂⁴×C₇	1	2	yes	—
868	C₂²×C₄	—	2	1	no	—
869	C₂²×C₄	—	2	1	no	—
870	C₂²×C₄	—	2	1	no	—
871	C₂²×C₄	—	2	1	no	—
872	C₂²×C₄	—	2	2	no	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	2	no	—
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	—	2	2	no	—
879	C₂²×C₄	—	2	2	no	—
880	C₂²×C₄	—	2	2	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	8	2	no	—
883	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
884	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
885	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
886	SD₁₆	C₂×C₇×Q₈	1	8	yes	complemented
887	D₈	C₂×C₇×Q₈	1	8	yes	complemented
888	M₁₆	—	2	2	no	—
889	M₁₆	C₂×C₇×Q₈	1	4	yes	complemented
890	C₂×C₈	—	2	2	no	—
891	C₂×C₈	—	2	2	no	—
892	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
893	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
894	C₂×C₈	C₂⁴×C₇	1	2	yes	—
895	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
896	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
897	C₂×C₈	C₂⁴×C₇	1	2	yes	—
898	C₄⋊C₄	—	2	1	no	—
899	C₄⋊C₄	—	2	1	no	—
900	C₄⋊C₄	—	2	1	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	1	no	—
904	C₄⋊C₄	—	2	1	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	2	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	1	no	—
920	C₄⋊C₄	—	2	1	no	—
921	C₄⋊C₄	—	2	1	no	—
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
928	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
929	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
930	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
931	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
932	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
933	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
934	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
935	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
936	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
937	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
938	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
939	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
940	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
941	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
942	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
943	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
944	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
945	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
946	C₂²⋊C₄	—	2	1	no	—
947	C₂²⋊C₄	—	2	1	no	—
948	C₂²⋊C₄	—	2	1	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	2	no	—
952	C₂²⋊C₄	—	2	2	no	—
953	C₂²⋊C₄	—	2	2	no	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	1	no	—
956	C₂²⋊C₄	—	2	1	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
960	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
961	C₄²	—	2	1	no	—
962	C₄²	—	2	1	no	—
963	C₄²	—	2	1	no	—
964	C₄²	—	2	2	no	—
965	C₄²	—	2	2	no	—
966	C₄²	—	2	1	no	—
967	C₄²	—	2	1	no	—
968	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
969	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
970	C₄²	C₂⁴×C₇	1	1	yes	characteristic
971	C₄²	C₂⁴×C₇	1	2	yes	—
972	C₄²	C₂⁴×C₇	1	2	yes	—
973	C₄²	C₂⁴×C₇	1	1	yes	characteristic
974	C₂×C₇	—	2	2	no	—
975	C₂×C₇	—	4	2	no	—
976	C₂×C₇	—	4	4	no	—
977	C₂×C₇	C₂×D₄×Q₈	1	1	yes	characteristic
978	C₂×C₇	#3584	1	1	yes	characteristic
979	C₂×C₇	#3585	1	1	yes	characteristic
980	C₂³	—	2	1	no	—
981	C₂³	—	2	2	no	—
982	C₂³	—	2	4	no	—
983	C₂³	—	8	1	no	—
984	C₂³	—	8	1	no	—
985	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
986	Q₈	—	2	1	no	—
987	Q₈	—	4	2	no	—
988	Q₈	—	4	2	no	—
989	Q₈	—	4	2	no	—
990	Q₈	—	8	1	no	—
991	Q₈	—	8	2	no	—
992	Q₈	—	8	2	no	—
993	Q₈	—	8	2	no	—
994	Q₈	—	8	2	no	—
995	Q₈	C₂²×C₇×Q₈	1	2	yes	—
996	D₄	—	2	4	no	—
997	D₄	—	2	2	no	—
998	D₄	—	2	1	no	—
999	D₄	—	2	4	no	—
1000	D₄	C₂²×C₇×Q₈	1	2	yes	—
1001	D₄	C₂²×C₇×Q₈	1	4	yes	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	4	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	4	1	no	—
1014	C₂×C₄	—	4	1	no	—
1015	C₂×C₄	—	4	4	no	—
1016	C₂×C₄	—	8	1	no	—
1017	C₂×C₄	—	8	2	no	—
1018	C₂×C₄	—	8	2	no	—
1019	C₂×C₄	—	8	2	no	—
1020	C₂×C₄	—	8	1	no	—
1021	C₂×C₄	—	8	2	no	—
1022	C₂×C₄	—	8	2	no	—
1023	C₂×C₄	—	8	2	no	—
1024	C₂×C₄	—	8	2	no	—
1025	C₂×C₄	—	8	1	no	—
1026	C₂×C₄	—	8	1	no	—
1027	C₂×C₄	—	8	1	no	—
1028	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1029	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1030	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1031	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1032	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1033	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1034	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1035	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1036	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1037	C₂×C₄	C₂²×C₇×Q₈	1	2	yes	—
1038	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1039	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1040	C₈	—	2	1	no	—
1041	C₈	—	2	1	no	—
1042	C₈	—	2	1	no	—
1043	C₈	—	2	1	no	—
1044	C₈	—	2	2	no	—
1045	C₈	C₂²×C₇×Q₈	1	4	yes	—
1046	C₇	#61385	1	1	yes	characteristic, direct product factor, Sylow
1047	C₂²	—	2	1	no	—
1048	C₂²	—	2	1	no	—
1049	C₂²	—	2	2	no	—
1050	C₂²	—	2	4	no	—
1051	C₂²	—	4	1	no	—
1052	C₂²	—	4	2	no	—
1053	C₂²	—	4	2	no	—
1054	C₂²	—	4	1	no	—
1055	C₂²	—	8	4	no	—
1056	C₂²	C₇×D₄×Q₈	1	2	yes	—
1057	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1058	C₄	—	2	1	no	—
1059	C₄	—	2	1	no	—
1060	C₄	—	2	2	no	—
1061	C₄	—	2	2	no	—
1062	C₄	—	2	1	no	—
1063	C₄	—	2	1	no	—
1064	C₄	—	2	2	no	—
1065	C₄	—	2	2	no	—
1066	C₄	—	2	2	no	—
1067	C₄	—	4	1	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	2	no	—
1070	C₄	—	4	1	no	—
1071	C₄	—	4	2	no	—
1072	C₄	—	4	1	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	2	no	—
1075	C₄	—	4	1	no	—
1076	C₄	C₇×D₄×Q₈	1	2	yes	—
1077	C₄	C₂³×C₇×Q₈	1	1	yes	characteristic
1078	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1079	C₂	—	2	2	no	—
1080	C₂	—	4	4	no	—
1081	C₂	—	4	2	no	—
1082	C₂	C₂×C₇×D₄×Q₈	1	1	yes	characteristic
1083	C₂	C₇×#3584	1	1	yes	characteristic
1084	C₂	C₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₂×C₇×AGL(1,ℤ/8)	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₇×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3504	C₂	semidirect
2. C₇×#3501	C₂	semidirect
3. C₇×#3389	C₂	semidirect
4. C₇×#3389	C₂	semidirect
5. C₇×#3388	C₂	semidirect
6. C₇×#3388	C₂	semidirect
7. C₇×#3386	C₂	semidirect
8. C₇×#3384	C₂	semidirect
9. C₇×#3381	C₂	semidirect
10. C₇×#3380	C₂	semidirect
11. C₇×#3166	C₂	semidirect
12. C₇×#3164	C₂	semidirect
13. C₇×#3163	C₂	semidirect
14. C₇×#3084	C₂	semidirect
15. C₇×#3083	C₂	semidirect
16. C₇×#3081	C₂	semidirect
17. C₇×#3081	C₂	semidirect
18. C₇×#3076	C₂	semidirect
19. C₂×C₇×#478	C₂	semidirect
20. C₇×#2962	C₂	semidirect
25. C₇×#557	C₂²	semidirect
26. C₇×#557	C₂²	semidirect
35. C₇×#554	C₂²	semidirect
36. C₇×#554	C₂²	semidirect
58. C₇×#501	C₂²	semidirect
59. C₇×#501	C₂²	semidirect
60. C₇×#501	C₂²	semidirect
61. C₇×#501	C₂²	semidirect
62. C₇×#501	C₂²	semidirect
63. C₇×#501	C₂²	semidirect
64. C₇×#500	C₂²	semidirect
65. C₇×#499	C₂²	semidirect
66. C₇×#499	C₂²	semidirect
67. C₇×#499	C₂²	semidirect
68. C₇×#499	C₂²	semidirect
69. C₇×#498	C₂²	semidirect
70. C₇×#479	C₂²	semidirect
71. C₇×#479	C₂²	semidirect
72. C₇×#479	C₂²	semidirect
73. C₇×#479	C₂²	semidirect
82. C₇×#478	C₂²	semidirect
83. C₇×#478	C₂²	semidirect
84. C₇×#478	C₂²	semidirect
85. C₇×#478	C₂²	semidirect
86. C₇×#477	C₂²	semidirect
87. C₇×#477	C₂²	semidirect
90. C₇×#476	C₂²	semidirect
91. C₇×#476	C₂²	semidirect
92. C₇×#475	C₂²	semidirect
93. C₇×#475	C₂²	semidirect
96. C₇×#474	C₂²	semidirect
97. C₇×#474	C₂²	semidirect
98. C₇×#446	C₂²	semidirect
99. C₇×#446	C₂²	semidirect
100. C₇×#446	C₂²	semidirect
101. C₇×C₈×Q₈	C₂²	semidirect
135. #61385	C₇	direct (N × H)
140. C₇×AGL(1,ℤ/8)	Q₈	semidirect
314. #3504	C₂×C₇	semidirect
315. #3501	C₂×C₇	semidirect
316. #3389	C₂×C₇	semidirect
317. #3389	C₂×C₇	semidirect
318. #3388	C₂×C₇	semidirect
319. #3388	C₂×C₇	semidirect
320. #3386	C₂×C₇	semidirect
321. #3384	C₂×C₇	semidirect
322. #3381	C₂×C₇	semidirect
323. #3380	C₂×C₇	semidirect
324. #3166	C₂×C₇	semidirect
325. #3164	C₂×C₇	semidirect
326. #3163	C₂×C₇	semidirect
327. #3084	C₂×C₇	semidirect
328. #3083	C₂×C₇	semidirect
329. #3081	C₂×C₇	semidirect
330. #3081	C₂×C₇	semidirect
331. #3076	C₂×C₇	semidirect
332. C₂×#478	C₂×C₇	semidirect
333. #2962	C₂×C₇	semidirect
339. C₇×#41	C₂×Q₈	semidirect
374. C₇×SD₁₆	C₂×Q₈	semidirect
375. C₇×D₈	C₂×Q₈	semidirect
377. C₇×M₁₆	C₂×Q₈	semidirect
463. #557	C₂²×C₇	semidirect
464. #557	C₂²×C₇	semidirect
473. #554	C₂²×C₇	semidirect
474. #554	C₂²×C₇	semidirect
496. #501	C₂²×C₇	semidirect
497. #501	C₂²×C₇	semidirect
498. #501	C₂²×C₇	semidirect
499. #501	C₂²×C₇	semidirect
500. #501	C₂²×C₇	semidirect
501. #501	C₂²×C₇	semidirect
502. #500	C₂²×C₇	semidirect
503. #499	C₂²×C₇	semidirect
504. #499	C₂²×C₇	semidirect
505. #499	C₂²×C₇	semidirect
506. #499	C₂²×C₇	semidirect
507. #498	C₂²×C₇	semidirect
508. #479	C₂²×C₇	semidirect
509. #479	C₂²×C₇	semidirect
510. #479	C₂²×C₇	semidirect
511. #479	C₂²×C₇	semidirect
520. #478	C₂²×C₇	semidirect
521. #478	C₂²×C₇	semidirect
522. #478	C₂²×C₇	semidirect
523. #478	C₂²×C₇	semidirect
524. #477	C₂²×C₇	semidirect
525. #477	C₂²×C₇	semidirect
528. #476	C₂²×C₇	semidirect
529. #476	C₂²×C₇	semidirect
530. #475	C₂²×C₇	semidirect
531. #475	C₂²×C₇	semidirect
534. #474	C₂²×C₇	semidirect
535. #474	C₂²×C₇	semidirect
536. #446	C₂²×C₇	semidirect
537. #446	C₂²×C₇	semidirect
538. #446	C₂²×C₇	semidirect
539. C₈×Q₈	C₂²×C₇	semidirect
643. AGL(1,ℤ/8)	C₇×Q₈	semidirect
851. #41	C₂×C₇×Q₈	semidirect
886. SD₁₆	C₂×C₇×Q₈	semidirect
887. D₈	C₂×C₇×Q₈	semidirect
889. M₁₆	C₂×C₇×Q₈	semidirect
1046. C₇	#61385	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×#3504	2
C₇×#3501	2
C₇×#3389	2
C₇×#3388	2
C₇×#3386	2
C₇×#3384	2
C₇×#3381	2
C₇×#3380	2
C₇×#3166	2
C₇×#3164	2
C₇×#3163	2
C₇×#3084	2
C₇×#3083	2
C₇×#3081	2
C₇×#3076	2
C₂×C₇×#478	2
C₇×#2962	2
C₇×#2946	2
C₄×C₇×AGL(1,ℤ/8)	2
#61385	7

Subgroups — C7×#61385 #13238601

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61385 #13238601