Subgroups — C₇×#61349 #13238565

Order 1792.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1150 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3506	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3504	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3377	C₂	1	2	yes	maximal, complemented
4	C₇×#3376	C₂	1	2	yes	maximal, complemented
5	C₇×#3371	C₂	1	2	yes	maximal, complemented
6	C₇×#3370	C₂	1	2	yes	maximal, complemented
7	C₇×#3368	C₂	1	2	yes	maximal, complemented
8	C₇×#3366	C₂	1	2	yes	maximal, complemented
9	C₇×#3365	C₂	1	2	yes	maximal, complemented
10	C₇×#3361	C₂	1	2	yes	maximal, complemented
11	C₇×#3142	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3136	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3136	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	C₂×C₇×#478	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3045	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3045	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3035	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2962	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2952	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2951	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₇×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₂×C₇×#135	C₂²	1	1	yes	characteristic
26	C₂×C₇×#135	C₂²	1	1	yes	characteristic
27	C₇×#559	C₂²	1	2	yes	—
28	C₇×#559	C₂²	1	2	yes	—
29	C₇×#557	C₂²	1	2	yes	complemented
30	C₇×#557	C₂²	1	2	yes	complemented
31	C₇×#556	C₂²	1	2	yes	—
32	C₇×#555	—	2	1	no	—
33	C₇×#554	—	2	2	no	—
34	C₇×#554	—	2	2	no	—
35	C₇×#554	C₂²	1	2	yes	complemented
36	C₇×#554	C₂²	1	2	yes	complemented
37	C₇×#553	—	2	1	no	—
38	C₇×#553	—	2	1	no	—
39	C₇×#550	C₂²	1	2	yes	—
40	C₇×#547	—	2	1	no	—
41	C₇×#544	—	2	1	no	—
42	C₇×#544	—	2	1	no	—
43	C₇×#544	C₂²	1	1	yes	characteristic
44	C₇×#544	C₂²	1	1	yes	characteristic
45	C₇×#538	—	2	2	no	—
46	C₇×#535	C₂²	1	1	yes	characteristic
47	C₇×#535	C₂²	1	1	yes	characteristic
48	C₇×#533	—	2	1	no	—
49	C₇×#533	C₂²	1	1	yes	characteristic
50	C₇×#532	C₂²	1	1	yes	characteristic
51	C₂×C₇×#125	—	2	1	no	—
52	C₂×C₇×#125	C₂²	1	1	yes	characteristic
53	C₇×#525	—	2	2	no	—
54	C₇×#520	C₂²	1	1	yes	characteristic
55	C₇×#520	C₂²	1	1	yes	characteristic
56	C₇×#520	C₂²	1	1	yes	characteristic
57	C₇×#520	C₂²	1	1	yes	characteristic
58	C₄×C₇×#41	C₂²	1	1	yes	characteristic
59	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
60	C₇×#491	C₂²	1	2	yes	complemented
61	C₇×#490	C₂²	1	2	yes	—
62	C₇×#490	C₂²	1	2	yes	—
63	C₇×#490	C₂²	1	2	yes	complemented
64	C₇×#489	C₂²	1	2	yes	—
65	C₇×#489	C₂²	1	2	yes	—
66	C₇×#488	C₂²	1	2	yes	—
67	C₇×#488	C₂²	1	2	yes	—
68	C₇×#488	C₂²	1	2	yes	complemented
69	C₇×#488	C₂²	1	2	yes	complemented
70	C₇×#486	C₂²	1	2	yes	—
71	C₇×#486	C₂²	1	2	yes	—
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	complemented
79	C₇×#478	C₂²	1	2	yes	complemented
80	C₇×#477	C₂²	1	2	yes	complemented
81	C₇×#476	C₂²	1	2	yes	complemented
82	C₇×#475	C₂²	1	2	yes	complemented
83	C₇×#474	C₂²	1	2	yes	complemented
84	C₇×#464	C₂²	1	2	yes	—
85	C₇×#464	C₂²	1	2	yes	—
86	C₇×#464	C₂²	1	1	yes	characteristic, complemented
87	C₇×#464	C₂²	1	1	yes	characteristic, complemented
88	C₇×#463	C₂²	1	2	yes	—
89	C₇×#463	C₂²	1	2	yes	—
90	C₇×#463	C₂²	1	1	yes	characteristic, complemented
91	C₇×#463	C₂²	1	1	yes	characteristic, complemented
92	C₇×#462	C₂²	1	1	yes	characteristic, complemented
93	C₇×#461	C₂²	1	1	yes	characteristic, complemented
94	C₇×#460	C₂²	1	2	yes	—
95	C₇×#460	C₂²	1	2	yes	—
96	C₇×#460	C₂²	1	1	yes	characteristic, complemented
97	C₇×#459	C₂²	1	2	yes	—
98	C₇×#459	C₂²	1	2	yes	—
99	C₇×#459	C₂²	1	1	yes	characteristic, complemented
100	C₇×#446	C₂²	1	2	yes	complemented
101	C₇×#446	C₂²	1	2	yes	complemented
102	C₇×#446	C₂²	1	2	yes	complemented
103	C₇×C₈×Q₈	C₂²	1	2	yes	complemented
104	C₇×#442	C₂²	1	2	yes	—
105	C₇×#442	C₂²	1	2	yes	complemented
106	C₇×#441	C₂²	1	2	yes	complemented
107	C₇×#440	C₂²	1	2	yes	—
108	C₇×#440	C₂²	1	2	yes	complemented
109	C₇×#440	C₂²	1	2	yes	complemented
110	C₄×C₇×Q₁₆	C₂²	1	2	yes	complemented
111	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
112	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
113	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
114	C₄×C₇×D₈	C₂²	1	2	yes	—
115	C₄×C₇×D₈	C₂²	1	2	yes	complemented
116	C₇×#428	C₂²	1	1	yes	characteristic
117	C₂×C₇×#107	C₂²	1	1	yes	characteristic
118	C₂×C₇×#106	C₂²	1	1	yes	characteristic
119	C₇×#424	C₂²	1	1	yes	characteristic
120	C₇×#424	C₂²	1	1	yes	characteristic
121	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
122	C₇×#418	C₂²	1	1	yes	characteristic
123	C₇×#417	C₂²	1	1	yes	characteristic
124	C₇×#417	C₂²	1	1	yes	characteristic
125	C₇×#417	C₂²	1	1	yes	characteristic
126	C₇×#417	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	#61349	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	2	2	no	—
137	C₂×C₇×#41	C₂³	1	1	yes	characteristic
138	C₂×C₇×#41	C₂³	1	1	yes	characteristic
139	C₂×C₇×#41	C₂³	1	1	yes	characteristic
140	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₇	—	2	1	no	—
142	C₇×AGL(1,ℤ/8)	—	2	4	no	—
143	C₇×#135	—	2	4	no	—
144	C₇×#135	—	2	4	no	—
145	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
153	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
154	C₂×C₇×D₈	C₂³	1	2	yes	—
155	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
156	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
157	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
158	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
159	C₇×C₄⋊Q₈	—	2	2	no	—
160	C₇×C₄⋊Q₈	—	2	2	no	—
161	C₇×C₄⋊Q₈	—	2	1	no	—
162	C₇×C₄⋊Q₈	—	2	1	no	—
163	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
164	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
165	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₇×#127	C₂³	1	2	yes	—
169	C₇×#127	C₂³	1	2	yes	—
170	C₇×#127	C₂³	1	1	yes	characteristic
171	C₇×#126	—	2	2	no	—
172	C₇×#126	—	2	2	no	—
173	C₇×#125	—	2	1	no	—
174	C₇×#125	—	2	1	no	—
175	C₇×#125	—	2	2	no	—
176	C₇×#125	—	2	2	no	—
177	C₇×#125	—	2	2	no	—
178	C₇×#125	—	2	2	no	—
179	C₇×#125	—	2	1	no	—
180	C₇×#125	—	2	1	no	—
181	C₇×#125	D₄	1	1	yes	characteristic
182	C₇×#125	D₄	1	1	yes	characteristic
183	C₇×#125	C₂³	1	2	yes	—
184	C₇×#125	C₂³	1	2	yes	—
185	C₇×#125	C₂³	1	2	yes	—
186	C₇×#125	C₂³	1	2	yes	—
187	C₇×#124	—	2	2	no	—
188	C₇×#124	—	2	2	no	—
189	C₇×#124	C₂³	1	2	yes	—
190	C₇×#124	C₂³	1	2	yes	—
191	C₇×#124	C₂³	1	1	yes	characteristic
192	C₇×#124	C₂³	1	1	yes	characteristic
193	C₇×#123	—	2	2	no	—
194	C₇×#123	—	2	2	no	—
195	C₇×#123	—	2	2	no	—
196	C₇×#123	—	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	—	2	2	no	—
206	C₇×C₂²⋊Q₈	D₄	1	2	yes	—
207	C₇×C₂²⋊Q₈	D₄	1	2	yes	—
208	C₇×#121	—	2	1	no	—
209	C₇×#121	—	2	1	no	—
210	C₇×#121	—	2	2	no	—
211	C₇×#121	—	2	1	no	—
212	C₇×#121	—	2	1	no	—
213	C₇×#121	—	2	1	no	—
214	C₇×#121	—	2	1	no	—
215	C₇×#121	—	2	2	no	—
216	C₇×#121	—	2	2	no	—
217	C₇×#120	—	2	2	no	—
218	C₇×#120	—	2	2	no	—
219	C₄×C₇×Q₈	—	2	2	no	—
220	C₄×C₇×Q₈	—	2	2	no	—
221	C₄×C₇×Q₈	C₂³	1	2	yes	—
222	C₄×C₇×Q₈	C₂³	1	2	yes	—
223	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
224	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₇×Q₈	C₂³	1	2	yes	—
226	C₄×C₇×Q₈	C₂³	1	2	yes	—
227	C₄×C₇×Q₈	C₂³	1	2	yes	—
228	C₄×C₇×Q₈	C₂³	1	2	yes	—
229	C₄×C₇×D₄	—	2	1	no	—
230	C₄×C₇×D₄	—	2	1	no	—
231	C₄×C₇×D₄	—	2	2	no	—
232	C₄×C₇×D₄	—	2	2	no	—
233	C₄×C₇×D₄	—	2	2	no	—
234	C₄×C₇×D₄	—	2	2	no	—
235	C₄×C₇×D₄	—	2	2	no	—
236	C₄×C₇×D₄	—	2	2	no	—
237	C₄×C₇×D₄	—	2	1	no	—
238	C₄×C₇×D₄	—	2	1	no	—
239	C₄×C₇×D₄	—	2	1	no	—
240	C₄×C₇×D₄	—	2	1	no	—
241	C₄×C₇×D₄	C₂³	1	2	yes	—
242	C₄×C₇×D₄	C₂³	1	2	yes	—
243	C₄×C₇×D₄	C₂³	1	2	yes	—
244	C₄×C₇×D₄	C₂³	1	2	yes	—
245	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
246	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
247	C₄×C₇×D₄	C₂³	1	2	yes	—
248	C₄×C₇×D₄	C₂³	1	2	yes	—
249	C₇×#117	—	2	1	no	—
250	C₇×#117	—	2	1	no	—
251	C₇×#117	—	2	1	no	—
252	C₇×#117	—	2	1	no	—
253	C₇×#117	—	2	2	no	—
254	C₇×#117	—	2	1	no	—
255	C₇×#117	C₂³	1	1	yes	characteristic
256	C₇×#117	C₂³	1	1	yes	characteristic
257	C₇×#117	C₂³	1	1	yes	characteristic
258	C₂×C₇×C₄⋊C₄	—	2	1	no	—
259	C₂×C₇×C₄⋊C₄	—	2	1	no	—
260	C₂×C₇×C₄⋊C₄	—	2	1	no	—
261	C₂×C₇×C₄⋊C₄	—	2	1	no	—
262	C₂×C₇×C₄⋊C₄	—	2	1	no	—
263	C₂×C₇×C₄⋊C₄	—	2	1	no	—
264	C₂×C₇×C₄⋊C₄	—	2	2	no	—
265	C₂×C₇×C₄⋊C₄	—	2	2	no	—
266	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
270	C₂×C₄²×C₇	—	2	1	no	—
271	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
272	C₇×#107	C₂³	1	2	yes	—
273	C₇×#107	C₂³	1	2	yes	—
274	C₇×#107	C₂³	1	2	yes	—
275	C₇×#106	C₂³	1	2	yes	—
276	C₇×#106	C₂³	1	2	yes	—
277	C₇×#106	C₂³	1	2	yes	—
278	C₇×C₄⋊C₈	C₂³	1	2	yes	—
279	C₇×C₄⋊C₈	C₂³	1	2	yes	—
280	C₇×C₄⋊C₈	C₂³	1	2	yes	—
281	C₇×C₄⋊C₈	C₂³	1	2	yes	—
282	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₇×#103	C₂³	1	1	yes	characteristic
287	C₇×#103	C₂³	1	2	yes	—
288	C₇×#103	C₂³	1	1	yes	characteristic
289	C₇×#103	C₂³	1	2	yes	—
290	C₇×#103	C₂³	1	1	yes	characteristic
291	C₇×#103	C₂³	1	1	yes	characteristic
292	C₇×#103	C₂³	1	2	yes	—
293	C₇×#103	C₂³	1	2	yes	—
294	C₇×#103	C₂³	1	2	yes	—
295	C₇×#102	C₂³	1	1	yes	characteristic
296	C₇×#102	C₂³	1	2	yes	—
297	C₇×#102	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
308	C₇×#102	C₂³	1	2	yes	—
309	C₇×#102	C₂³	1	2	yes	—
310	C₇×#97	C₂³	1	2	yes	—
311	C₇×#97	C₂³	1	2	yes	—
312	C₇×#97	C₂³	1	2	yes	—
313	C₄×C₇×C₈	C₂³	1	2	yes	—
314	C₄×C₇×C₈	C₂³	1	2	yes	—
315	C₄×C₇×C₈	C₂³	1	2	yes	—
316	#3506	C₂×C₇	1	1	yes	characteristic, complemented
317	#3504	C₂×C₇	1	1	yes	characteristic, complemented
318	#3377	C₂×C₇	1	2	yes	complemented
319	#3376	C₂×C₇	1	2	yes	complemented
320	#3371	C₂×C₇	1	2	yes	complemented
321	#3370	C₂×C₇	1	2	yes	complemented
322	#3368	C₂×C₇	1	2	yes	complemented
323	#3366	C₂×C₇	1	2	yes	complemented
324	#3365	C₂×C₇	1	2	yes	complemented
325	#3361	C₂×C₇	1	2	yes	complemented
326	#3142	C₂×C₇	1	1	yes	characteristic, complemented
327	#3136	C₂×C₇	1	1	yes	characteristic, complemented
328	#3136	C₂×C₇	1	1	yes	characteristic, complemented
329	#3084	C₂×C₇	1	1	yes	characteristic, complemented
330	#3083	C₂×C₇	1	1	yes	characteristic, complemented
331	C₂×#478	C₂×C₇	1	1	yes	characteristic, complemented
332	#3045	C₂×C₇	1	1	yes	characteristic, complemented
333	#3045	C₂×C₇	1	1	yes	characteristic, complemented
334	#3035	C₂×C₇	1	1	yes	characteristic, complemented
335	#2962	C₂×C₇	1	1	yes	characteristic, complemented
336	#2952	C₂×C₇	1	1	yes	characteristic, complemented
337	#2951	C₂×C₇	1	1	yes	characteristic, complemented
338	C₄×AGL(1,ℤ/8)	C₂×C₇	1	1	yes	characteristic, complemented
339	C₂⁴×C₇	—	2	1	no	—
340	C₇×#41	—	2	2	no	—
341	C₇×#41	—	2	2	no	—
342	C₇×#41	—	2	2	no	—
343	C₇×#41	—	2	2	no	—
344	C₇×#41	—	2	2	no	—
345	C₇×#41	—	8	4	no	—
346	C₇×#41	#41	1	4	yes	complemented
347	C₂×C₇×Q₈	—	2	2	no	—
348	C₂×C₇×Q₈	—	2	2	no	—
349	C₂×C₇×Q₈	C₂×D₄	1	2	yes	—
350	C₂×C₇×Q₈	C₂×D₄	1	2	yes	—
351	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
352	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
353	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
354	C₂×C₇×D₄	—	2	1	no	—
355	C₂×C₇×D₄	—	2	1	no	—
356	C₂×C₇×D₄	—	2	1	no	—
357	C₂×C₇×D₄	—	2	1	no	—
358	C₂×C₇×D₄	—	2	1	no	—
359	C₂×C₇×D₄	—	2	2	no	—
360	C₂×C₇×D₄	—	2	2	no	—
361	C₂×C₇×D₄	—	2	1	no	—
362	C₂×C₇×D₄	—	2	2	no	—
363	C₂×C₇×D₄	—	2	2	no	—
364	C₂×C₇×D₄	—	2	2	no	—
365	C₂×C₇×D₄	—	2	2	no	—
366	C₂×C₇×D₄	C₂⁴	1	2	yes	—
367	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
368	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
369	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₇	—	2	1	no	—
371	C₂²×C₄×C₇	—	2	1	no	—
372	C₂²×C₄×C₇	—	2	1	no	—
373	C₂²×C₄×C₇	—	2	1	no	—
374	C₂²×C₄×C₇	—	2	1	no	—
375	C₂²×C₄×C₇	—	2	1	no	—
376	C₂²×C₄×C₇	—	2	2	no	—
377	C₂²×C₄×C₇	—	2	1	no	—
378	C₂²×C₄×C₇	—	2	1	no	—
379	C₂²×C₄×C₇	—	2	2	no	—
380	C₂²×C₄×C₇	—	2	2	no	—
381	C₂²×C₄×C₇	—	2	2	no	—
382	C₂²×C₄×C₇	—	2	2	no	—
383	C₂²×C₄×C₇	—	2	2	no	—
384	C₂²×C₄×C₇	—	8	2	no	—
385	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
386	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
387	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
388	C₇×Q₁₆	—	2	2	no	—
389	C₇×Q₁₆	—	2	2	no	—
390	C₇×SD₁₆	—	2	2	no	—
391	C₇×SD₁₆	—	2	2	no	—
392	C₇×SD₁₆	—	2	4	no	—
393	C₇×SD₁₆	—	2	2	no	—
394	C₇×SD₁₆	—	2	2	no	—
395	C₇×D₈	—	2	2	no	—
396	C₇×D₈	—	2	2	no	—
397	C₇×D₈	—	2	4	no	—
398	C₇×M₁₆	—	2	2	no	—
399	C₇×M₁₆	—	2	2	no	—
400	C₂×C₇×C₈	—	2	2	no	—
401	C₂×C₇×C₈	—	2	2	no	—
402	C₂×C₇×C₈	C₂⁴	1	2	yes	—
403	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
404	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
405	C₂×C₇×C₈	C₂⁴	1	2	yes	—
406	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
407	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
408	C₇×C₄⋊C₄	—	2	1	no	—
409	C₇×C₄⋊C₄	—	2	2	no	—
410	C₇×C₄⋊C₄	—	2	2	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	—	2	2	no	—
416	C₇×C₄⋊C₄	—	2	2	no	—
417	C₇×C₄⋊C₄	—	2	2	no	—
418	C₇×C₄⋊C₄	—	2	2	no	—
419	C₇×C₄⋊C₄	—	2	2	no	—
420	C₇×C₄⋊C₄	—	2	2	no	—
421	C₇×C₄⋊C₄	—	2	2	no	—
422	C₇×C₄⋊C₄	—	2	2	no	—
423	C₇×C₄⋊C₄	—	2	1	no	—
424	C₇×C₄⋊C₄	—	2	1	no	—
425	C₇×C₄⋊C₄	—	2	1	no	—
426	C₇×C₄⋊C₄	—	2	1	no	—
427	C₇×C₄⋊C₄	—	2	2	no	—
428	C₇×C₄⋊C₄	—	2	2	no	—
429	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
430	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
431	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
432	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
433	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
434	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
435	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
436	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
437	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
438	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
439	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
440	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
441	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
442	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
443	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
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	—	2	2	no	—
448	C₇×C₂²⋊C₄	—	2	2	no	—
449	C₇×C₂²⋊C₄	—	2	1	no	—
450	C₇×C₂²⋊C₄	—	2	1	no	—
451	C₇×C₂²⋊C₄	—	2	2	no	—
452	C₇×C₂²⋊C₄	—	2	2	no	—
453	C₇×C₂²⋊C₄	—	2	2	no	—
454	C₇×C₂²⋊C₄	—	2	2	no	—
455	C₇×C₂²⋊C₄	—	2	1	no	—
456	C₇×C₂²⋊C₄	—	2	1	no	—
457	C₇×C₂²⋊C₄	—	2	2	no	—
458	C₇×C₂²⋊C₄	—	2	2	no	—
459	C₇×C₂²⋊C₄	—	2	1	no	—
460	C₇×C₂²⋊C₄	—	2	1	no	—
461	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
462	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
463	C₄²×C₇	—	2	1	no	—
464	C₄²×C₇	—	2	1	no	—
465	C₄²×C₇	—	2	1	no	—
466	C₄²×C₇	—	2	2	no	—
467	C₄²×C₇	—	2	2	no	—
468	C₄²×C₇	—	2	2	no	—
469	C₄²×C₇	—	2	2	no	—
470	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
471	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
472	C₄²×C₇	C₂⁴	1	1	yes	characteristic
473	C₄²×C₇	C₂⁴	1	2	yes	—
474	C₄²×C₇	C₂⁴	1	2	yes	—
475	C₄²×C₇	C₂⁴	1	1	yes	characteristic
476	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
477	C₂×#135	C₂²×C₇	1	1	yes	characteristic
478	C₂×#135	C₂²×C₇	1	1	yes	characteristic
479	#559	C₂²×C₇	1	2	yes	—
480	#559	C₂²×C₇	1	2	yes	—
481	#557	C₂²×C₇	1	2	yes	complemented
482	#557	C₂²×C₇	1	2	yes	complemented
483	#556	C₂²×C₇	1	2	yes	—
484	#555	—	2	1	no	—
485	#554	—	2	2	no	—
486	#554	—	2	2	no	—
487	#554	C₂²×C₇	1	2	yes	complemented
488	#554	C₂²×C₇	1	2	yes	complemented
489	#553	—	2	1	no	—
490	#553	—	2	1	no	—
491	#550	C₂²×C₇	1	2	yes	—
492	#547	—	2	1	no	—
493	#544	—	2	1	no	—
494	#544	—	2	1	no	—
495	#544	C₂²×C₇	1	1	yes	characteristic
496	#544	C₂²×C₇	1	1	yes	characteristic
497	#538	—	2	2	no	—
498	#535	C₂²×C₇	1	1	yes	characteristic
499	#535	C₂²×C₇	1	1	yes	characteristic
500	#533	—	2	1	no	—
501	#533	C₂²×C₇	1	1	yes	characteristic
502	#532	C₂²×C₇	1	1	yes	characteristic
503	C₂×#125	—	2	1	no	—
504	C₂×#125	C₂²×C₇	1	1	yes	characteristic
505	#525	—	2	2	no	—
506	#520	C₂²×C₇	1	1	yes	characteristic
507	#520	C₂²×C₇	1	1	yes	characteristic
508	#520	C₂²×C₇	1	1	yes	characteristic
509	#520	C₂²×C₇	1	1	yes	characteristic
510	C₄×#41	C₂²×C₇	1	1	yes	characteristic
511	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
512	#491	C₂²×C₇	1	2	yes	complemented
513	#490	C₂²×C₇	1	2	yes	—
514	#490	C₂²×C₇	1	2	yes	—
515	#490	C₂²×C₇	1	2	yes	complemented
516	#489	C₂²×C₇	1	2	yes	—
517	#489	C₂²×C₇	1	2	yes	—
518	#488	C₂²×C₇	1	2	yes	—
519	#488	C₂²×C₇	1	2	yes	—
520	#488	C₂²×C₇	1	2	yes	complemented
521	#488	C₂²×C₇	1	2	yes	complemented
522	#486	C₂²×C₇	1	2	yes	—
523	#486	C₂²×C₇	1	2	yes	—
524	#479	C₂²×C₇	1	2	yes	complemented
525	#479	C₂²×C₇	1	2	yes	complemented
526	#478	C₂²×C₇	1	2	yes	—
527	#478	C₂²×C₇	1	2	yes	—
528	#478	C₂²×C₇	1	2	yes	—
529	#478	C₂²×C₇	1	2	yes	—
530	#478	C₂²×C₇	1	2	yes	complemented
531	#478	C₂²×C₇	1	2	yes	complemented
532	#477	C₂²×C₇	1	2	yes	complemented
533	#476	C₂²×C₇	1	2	yes	complemented
534	#475	C₂²×C₇	1	2	yes	complemented
535	#474	C₂²×C₇	1	2	yes	complemented
536	#464	C₂²×C₇	1	2	yes	—
537	#464	C₂²×C₇	1	2	yes	—
538	#464	C₂²×C₇	1	1	yes	characteristic, complemented
539	#464	C₂²×C₇	1	1	yes	characteristic, complemented
540	#463	C₂²×C₇	1	2	yes	—
541	#463	C₂²×C₇	1	2	yes	—
542	#463	C₂²×C₇	1	1	yes	characteristic, complemented
543	#463	C₂²×C₇	1	1	yes	characteristic, complemented
544	#462	C₂²×C₇	1	1	yes	characteristic, complemented
545	#461	C₂²×C₇	1	1	yes	characteristic, complemented
546	#460	C₂²×C₇	1	2	yes	—
547	#460	C₂²×C₇	1	2	yes	—
548	#460	C₂²×C₇	1	1	yes	characteristic, complemented
549	#459	C₂²×C₇	1	2	yes	—
550	#459	C₂²×C₇	1	2	yes	—
551	#459	C₂²×C₇	1	1	yes	characteristic, complemented
552	#446	C₂²×C₇	1	2	yes	complemented
553	#446	C₂²×C₇	1	2	yes	complemented
554	#446	C₂²×C₇	1	2	yes	complemented
555	C₈×Q₈	C₂²×C₇	1	2	yes	complemented
556	#442	C₂²×C₇	1	2	yes	—
557	#442	C₂²×C₇	1	2	yes	complemented
558	#441	C₂²×C₇	1	2	yes	complemented
559	#440	C₂²×C₇	1	2	yes	—
560	#440	C₂²×C₇	1	2	yes	complemented
561	#440	C₂²×C₇	1	2	yes	complemented
562	C₄×Q₁₆	C₂²×C₇	1	2	yes	complemented
563	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
564	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
565	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
566	C₄×D₈	C₂²×C₇	1	2	yes	—
567	C₄×D₈	C₂²×C₇	1	2	yes	complemented
568	#428	C₂²×C₇	1	1	yes	characteristic
569	C₂×#107	C₂²×C₇	1	1	yes	characteristic
570	C₂×#106	C₂²×C₇	1	1	yes	characteristic
571	#424	C₂²×C₇	1	1	yes	characteristic
572	#424	C₂²×C₇	1	1	yes	characteristic
573	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
574	#418	C₂²×C₇	1	1	yes	characteristic
575	#417	C₂²×C₇	1	1	yes	characteristic
576	#417	C₂²×C₇	1	1	yes	characteristic
577	#417	C₂²×C₇	1	1	yes	characteristic
578	#417	C₂²×C₇	1	1	yes	characteristic
579	#417	C₂²×C₇	1	1	yes	characteristic
580	#416	C₂²×C₇	1	1	yes	characteristic
581	#416	C₂²×C₇	1	1	yes	characteristic
582	C₂×#102	C₂²×C₇	1	1	yes	characteristic
583	C₂×#102	C₂²×C₇	1	1	yes	characteristic
584	#405	C₂²×C₇	1	1	yes	characteristic
585	#405	C₂²×C₇	1	1	yes	characteristic
586	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic
587	C₂³×C₇	—	2	1	no	—
588	C₂³×C₇	—	2	2	no	—
589	C₂³×C₇	—	2	1	no	—
590	C₂³×C₇	—	2	1	no	—
591	C₂³×C₇	—	4	2	no	—
592	C₂³×C₇	—	8	1	no	—
593	C₂³×C₇	—	8	1	no	—
594	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
595	C₇×Q₈	—	2	1	no	—
596	C₇×Q₈	—	2	1	no	—
597	C₇×Q₈	—	2	1	no	—
598	C₇×Q₈	—	2	1	no	—
599	C₇×Q₈	—	2	1	no	—
600	C₇×Q₈	—	4	2	no	—
601	C₇×Q₈	—	4	2	no	—
602	C₇×Q₈	—	8	2	no	—
603	C₇×Q₈	—	8	2	no	—
604	C₇×Q₈	C₂×#41	1	2	yes	—
605	C₇×D₄	—	2	4	no	—
606	C₇×D₄	—	2	2	no	—
607	C₇×D₄	—	2	1	no	—
608	C₇×D₄	—	2	1	no	—
609	C₇×D₄	—	2	1	no	—
610	C₇×D₄	—	2	2	no	—
611	C₇×D₄	—	2	1	no	—
612	C₇×D₄	—	2	1	no	—
613	C₇×D₄	—	4	2	no	—
614	C₇×D₄	—	4	2	no	—
615	C₇×D₄	—	4	2	no	—
616	C₇×D₄	—	4	2	no	—
617	C₇×D₄	—	8	1	no	—
618	C₇×D₄	—	8	2	no	—
619	C₇×D₄	—	8	2	no	—
620	C₇×D₄	—	8	2	no	—
621	C₇×D₄	—	8	2	no	—
622	C₇×D₄	C₂×#41	1	2	yes	—
623	C₂×C₄×C₇	—	2	1	no	—
624	C₂×C₄×C₇	—	2	4	no	—
625	C₂×C₄×C₇	—	2	1	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	1	no	—
630	C₂×C₄×C₇	—	2	2	no	—
631	C₂×C₄×C₇	—	2	2	no	—
632	C₂×C₄×C₇	—	4	1	no	—
633	C₂×C₄×C₇	—	4	1	no	—
634	C₂×C₄×C₇	—	4	4	no	—
635	C₂×C₄×C₇	—	4	2	no	—
636	C₂×C₄×C₇	—	4	2	no	—
637	C₂×C₄×C₇	—	8	1	no	—
638	C₂×C₄×C₇	—	8	2	no	—
639	C₂×C₄×C₇	—	8	1	no	—
640	C₂×C₄×C₇	—	8	2	no	—
641	C₂×C₄×C₇	—	8	2	no	—
642	C₂×C₄×C₇	—	8	2	no	—
643	C₂×C₄×C₇	—	8	2	no	—
644	C₂×C₄×C₇	—	8	1	no	—
645	C₂×C₄×C₇	—	8	1	no	—
646	C₂×C₄×C₇	—	8	1	no	—
647	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
648	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
649	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
650	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
651	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
652	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
653	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
654	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
655	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
656	C₂×C₄×C₇	C₂×#41	1	2	yes	—
657	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
658	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
659	C₇×C₈	—	2	1	no	—
660	C₇×C₈	—	2	1	no	—
661	C₇×C₈	—	2	1	no	—
662	C₇×C₈	—	2	1	no	—
663	C₇×C₈	—	2	2	no	—
664	C₇×C₈	—	2	2	no	—
665	C₂×#41	—	2	2	no	—
666	C₂×#41	C₂³×C₇	1	1	yes	characteristic
667	C₂×#41	C₂³×C₇	1	1	yes	characteristic
668	C₂×#41	C₂³×C₇	1	1	yes	characteristic
669	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
670	C₂³×C₄	—	2	1	no	—
671	AGL(1,ℤ/8)	—	2	4	no	—
672	#135	—	2	4	no	—
673	#135	—	2	4	no	—
674	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
675	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
676	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
677	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
678	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
679	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
680	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
681	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
682	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
683	C₂×D₈	C₂³×C₇	1	2	yes	—
684	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
685	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
686	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
687	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
688	C₄⋊Q₈	—	2	2	no	—
689	C₄⋊Q₈	—	2	2	no	—
690	C₄⋊Q₈	—	2	1	no	—
691	C₄⋊Q₈	—	2	1	no	—
692	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
693	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
694	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
695	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
696	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
697	#127	C₂³×C₇	1	1	yes	characteristic
698	#127	C₂³×C₇	1	2	yes	—
699	#127	C₂³×C₇	1	2	yes	—
700	#126	—	2	2	no	—
701	#126	—	2	2	no	—
702	#125	—	2	1	no	—
703	#125	—	2	1	no	—
704	#125	—	2	2	no	—
705	#125	—	2	2	no	—
706	#125	—	2	2	no	—
707	#125	—	2	2	no	—
708	#125	—	2	1	no	—
709	#125	—	2	1	no	—
710	#125	C₇×D₄	1	1	yes	characteristic
711	#125	C₇×D₄	1	1	yes	characteristic
712	#125	C₂³×C₇	1	2	yes	—
713	#125	C₂³×C₇	1	2	yes	—
714	#125	C₂³×C₇	1	2	yes	—
715	#125	C₂³×C₇	1	2	yes	—
716	#124	—	2	2	no	—
717	#124	—	2	2	no	—
718	#124	C₂³×C₇	1	1	yes	characteristic
719	#124	C₂³×C₇	1	1	yes	characteristic
720	#124	C₂³×C₇	1	2	yes	—
721	#124	C₂³×C₇	1	2	yes	—
722	#123	—	2	2	no	—
723	#123	—	2	2	no	—
724	#123	—	2	2	no	—
725	#123	—	2	2	no	—
726	C₂²⋊Q₈	—	2	2	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	—	2	2	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	C₇×D₄	1	2	yes	—
736	C₂²⋊Q₈	C₇×D₄	1	2	yes	—
737	#121	—	2	1	no	—
738	#121	—	2	1	no	—
739	#121	—	2	2	no	—
740	#121	—	2	1	no	—
741	#121	—	2	1	no	—
742	#121	—	2	1	no	—
743	#121	—	2	1	no	—
744	#121	—	2	2	no	—
745	#121	—	2	2	no	—
746	#120	—	2	2	no	—
747	#120	—	2	2	no	—
748	C₄×Q₈	—	2	2	no	—
749	C₄×Q₈	—	2	2	no	—
750	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
751	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
752	C₄×Q₈	C₂³×C₇	1	2	yes	—
753	C₄×Q₈	C₂³×C₇	1	2	yes	—
754	C₄×Q₈	C₂³×C₇	1	2	yes	—
755	C₄×Q₈	C₂³×C₇	1	2	yes	—
756	C₄×Q₈	C₂³×C₇	1	2	yes	—
757	C₄×Q₈	C₂³×C₇	1	2	yes	—
758	C₄×D₄	—	2	1	no	—
759	C₄×D₄	—	2	1	no	—
760	C₄×D₄	—	2	2	no	—
761	C₄×D₄	—	2	2	no	—
762	C₄×D₄	—	2	2	no	—
763	C₄×D₄	—	2	2	no	—
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	—	2	2	no	—
766	C₄×D₄	—	2	1	no	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	—	2	1	no	—
769	C₄×D₄	—	2	1	no	—
770	C₄×D₄	C₂³×C₇	1	2	yes	—
771	C₄×D₄	C₂³×C₇	1	2	yes	—
772	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
773	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
774	C₄×D₄	C₂³×C₇	1	2	yes	—
775	C₄×D₄	C₂³×C₇	1	2	yes	—
776	C₄×D₄	C₂³×C₇	1	2	yes	—
777	C₄×D₄	C₂³×C₇	1	2	yes	—
778	#117	—	2	1	no	—
779	#117	—	2	1	no	—
780	#117	—	2	1	no	—
781	#117	—	2	1	no	—
782	#117	—	2	2	no	—
783	#117	—	2	1	no	—
784	#117	C₂³×C₇	1	1	yes	characteristic
785	#117	C₂³×C₇	1	1	yes	characteristic
786	#117	C₂³×C₇	1	1	yes	characteristic
787	C₂×C₄⋊C₄	—	2	1	no	—
788	C₂×C₄⋊C₄	—	2	1	no	—
789	C₂×C₄⋊C₄	—	2	1	no	—
790	C₂×C₄⋊C₄	—	2	1	no	—
791	C₂×C₄⋊C₄	—	2	1	no	—
792	C₂×C₄⋊C₄	—	2	1	no	—
793	C₂×C₄⋊C₄	—	2	2	no	—
794	C₂×C₄⋊C₄	—	2	2	no	—
795	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	—	2	1	no	—
799	C₂×C₄²	—	2	1	no	—
800	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
801	#107	C₂³×C₇	1	2	yes	—
802	#107	C₂³×C₇	1	2	yes	—
803	#107	C₂³×C₇	1	2	yes	—
804	#106	C₂³×C₇	1	2	yes	—
805	#106	C₂³×C₇	1	2	yes	—
806	#106	C₂³×C₇	1	2	yes	—
807	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
808	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
809	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
810	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
811	C₄⋊C₈	C₂³×C₇	1	2	yes	—
812	C₄⋊C₈	C₂³×C₇	1	2	yes	—
813	C₄⋊C₈	C₂³×C₇	1	2	yes	—
814	C₄⋊C₈	C₂³×C₇	1	2	yes	—
815	#103	C₂³×C₇	1	1	yes	characteristic
816	#103	C₂³×C₇	1	1	yes	characteristic
817	#103	C₂³×C₇	1	1	yes	characteristic
818	#103	C₂³×C₇	1	1	yes	characteristic
819	#103	C₂³×C₇	1	2	yes	—
820	#103	C₂³×C₇	1	2	yes	—
821	#103	C₂³×C₇	1	2	yes	—
822	#103	C₂³×C₇	1	2	yes	—
823	#103	C₂³×C₇	1	2	yes	—
824	#102	C₂³×C₇	1	2	yes	—
825	#102	C₂³×C₇	1	2	yes	—
826	#102	C₂³×C₇	1	2	yes	—
827	#102	C₂³×C₇	1	2	yes	—
828	#102	C₂³×C₇	1	1	yes	characteristic
829	#102	C₂³×C₇	1	1	yes	characteristic
830	#102	C₂³×C₇	1	1	yes	characteristic
831	#102	C₂³×C₇	1	1	yes	characteristic
832	#102	C₂³×C₇	1	2	yes	—
833	#102	C₂³×C₇	1	2	yes	—
834	#102	C₂³×C₇	1	2	yes	—
835	#102	C₂³×C₇	1	2	yes	—
836	#102	C₂³×C₇	1	2	yes	—
837	#102	C₂³×C₇	1	2	yes	—
838	#102	C₂³×C₇	1	2	yes	—
839	#97	C₂³×C₇	1	2	yes	—
840	#97	C₂³×C₇	1	2	yes	—
841	#97	C₂³×C₇	1	2	yes	—
842	C₄×C₈	C₂³×C₇	1	2	yes	—
843	C₄×C₈	C₂³×C₇	1	2	yes	—
844	C₄×C₈	C₂³×C₇	1	2	yes	—
845	C₂²×C₇	—	2	1	no	—
846	C₂²×C₇	—	2	1	no	—
847	C₂²×C₇	—	2	2	no	—
848	C₂²×C₇	—	4	1	no	—
849	C₂²×C₇	—	4	1	no	—
850	C₂²×C₇	—	4	1	no	—
851	C₂²×C₇	—	4	1	no	—
852	C₂²×C₇	—	4	2	no	—
853	C₂²×C₇	—	4	2	no	—
854	C₂²×C₇	—	4	1	no	—
855	C₂²×C₇	—	4	1	no	—
856	C₂²×C₇	—	4	1	no	—
857	C₂²×C₇	—	4	1	no	—
858	C₂²×C₇	—	4	2	no	—
859	C₂²×C₇	—	8	4	no	—
860	C₂²×C₇	#548	1	2	yes	—
861	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
862	C₄×C₇	—	2	1	no	—
863	C₄×C₇	—	2	1	no	—
864	C₄×C₇	—	2	2	no	—
865	C₄×C₇	—	2	2	no	—
866	C₄×C₇	—	2	1	no	—
867	C₄×C₇	—	2	1	no	—
868	C₄×C₇	—	2	2	no	—
869	C₄×C₇	—	2	2	no	—
870	C₄×C₇	—	2	2	no	—
871	C₄×C₇	—	4	2	no	—
872	C₄×C₇	—	4	1	no	—
873	C₄×C₇	—	4	2	no	—
874	C₄×C₇	—	4	2	no	—
875	C₄×C₇	—	4	1	no	—
876	C₄×C₇	—	4	1	no	—
877	C₄×C₇	—	4	1	no	—
878	C₄×C₇	#548	1	2	yes	—
879	C₄×C₇	C₂²×#41	1	1	yes	characteristic
880	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
881	C₂⁴	—	2	1	no	—
882	#41	—	2	2	no	—
883	#41	—	2	2	no	—
884	#41	—	2	2	no	—
885	#41	—	2	2	no	—
886	#41	—	2	2	no	—
887	#41	—	8	4	no	—
888	#41	C₇×#41	1	4	yes	complemented
889	C₂×Q₈	—	2	2	no	—
890	C₂×Q₈	—	2	2	no	—
891	C₂×Q₈	C₂×C₇×D₄	1	2	yes	—
892	C₂×Q₈	C₂×C₇×D₄	1	2	yes	—
893	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
894	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	1	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	1	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	C₂⁴×C₇	1	2	yes	—
909	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
910	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
911	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	1	no	—
920	C₂²×C₄	—	2	1	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	8	2	no	—
927	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
928	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
929	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
930	Q₁₆	—	2	2	no	—
931	Q₁₆	—	2	2	no	—
932	SD₁₆	—	2	2	no	—
933	SD₁₆	—	2	2	no	—
934	SD₁₆	—	2	4	no	—
935	SD₁₆	—	2	2	no	—
936	SD₁₆	—	2	2	no	—
937	D₈	—	2	2	no	—
938	D₈	—	2	2	no	—
939	D₈	—	2	4	no	—
940	M₁₆	—	2	2	no	—
941	M₁₆	—	2	2	no	—
942	C₂×C₈	—	2	2	no	—
943	C₂×C₈	—	2	2	no	—
944	C₂×C₈	C₂⁴×C₇	1	2	yes	—
945	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
946	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
947	C₂×C₈	C₂⁴×C₇	1	2	yes	—
948	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
949	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
972	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
973	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
974	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
975	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
976	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
977	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
978	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
979	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
980	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
981	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
982	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
983	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
984	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
985	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	—	2	1	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1004	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	2	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1013	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1014	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1015	C₄²	C₂⁴×C₇	1	2	yes	—
1016	C₄²	C₂⁴×C₇	1	2	yes	—
1017	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1018	C₂×C₇	—	2	2	no	—
1019	C₂×C₇	—	4	2	no	—
1020	C₂×C₇	—	8	1	no	—
1021	C₂×C₇	—	8	1	no	—
1022	C₂×C₇	—	8	2	no	—
1023	C₂×C₇	C₂×#548	1	1	yes	characteristic
1024	C₂×C₇	#3584	1	1	yes	characteristic
1025	C₂×C₇	#3585	1	1	yes	characteristic
1026	C₂³	—	2	1	no	—
1027	C₂³	—	2	2	no	—
1028	C₂³	—	2	1	no	—
1029	C₂³	—	2	1	no	—
1030	C₂³	—	4	2	no	—
1031	C₂³	—	8	1	no	—
1032	C₂³	—	8	1	no	—
1033	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1034	Q₈	—	2	1	no	—
1035	Q₈	—	2	1	no	—
1036	Q₈	—	2	1	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	2	1	no	—
1039	Q₈	—	4	2	no	—
1040	Q₈	—	4	2	no	—
1041	Q₈	—	8	2	no	—
1042	Q₈	—	8	2	no	—
1043	Q₈	C₂×C₇×#41	1	2	yes	—
1044	D₄	—	2	4	no	—
1045	D₄	—	2	2	no	—
1046	D₄	—	2	1	no	—
1047	D₄	—	2	1	no	—
1048	D₄	—	2	1	no	—
1049	D₄	—	2	2	no	—
1050	D₄	—	2	1	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	4	2	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	4	2	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	8	1	no	—
1057	D₄	—	8	2	no	—
1058	D₄	—	8	2	no	—
1059	D₄	—	8	2	no	—
1060	D₄	—	8	2	no	—
1061	D₄	C₂×C₇×#41	1	2	yes	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	4	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	4	1	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	4	no	—
1074	C₂×C₄	—	4	2	no	—
1075	C₂×C₄	—	4	2	no	—
1076	C₂×C₄	—	8	1	no	—
1077	C₂×C₄	—	8	2	no	—
1078	C₂×C₄	—	8	1	no	—
1079	C₂×C₄	—	8	2	no	—
1080	C₂×C₄	—	8	2	no	—
1081	C₂×C₄	—	8	2	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	—	8	1	no	—
1084	C₂×C₄	—	8	1	no	—
1085	C₂×C₄	—	8	1	no	—
1086	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1087	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1088	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1089	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1090	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1091	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1092	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1093	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1094	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1095	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1096	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1097	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1098	C₈	—	2	1	no	—
1099	C₈	—	2	1	no	—
1100	C₈	—	2	1	no	—
1101	C₈	—	2	1	no	—
1102	C₈	—	2	2	no	—
1103	C₈	—	2	2	no	—
1104	C₇	#61349	1	1	yes	characteristic, direct product factor, Sylow
1105	C₂²	—	2	1	no	—
1106	C₂²	—	2	1	no	—
1107	C₂²	—	2	2	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	1	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	2	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	1	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	1	no	—
1118	C₂²	—	4	2	no	—
1119	C₂²	—	8	4	no	—
1120	C₂²	C₇×#548	1	2	yes	—
1121	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1122	C₄	—	2	1	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	2	no	—
1125	C₄	—	2	2	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	2	2	no	—
1131	C₄	—	4	2	no	—
1132	C₄	—	4	1	no	—
1133	C₄	—	4	2	no	—
1134	C₄	—	4	2	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	1	no	—
1138	C₄	C₇×#548	1	2	yes	—
1139	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1140	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1141	C₂	—	2	2	no	—
1142	C₂	—	4	2	no	—
1143	C₂	—	8	2	no	—
1144	C₂	—	8	1	no	—
1145	C₂	—	8	1	no	—
1146	C₂	C₂×C₇×#548	1	1	yes	characteristic
1147	C₂	C₇×#3584	1	1	yes	characteristic
1148	C₂	C₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
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×#3506	C₂	semidirect
2. C₇×#3504	C₂	semidirect
3. C₇×#3377	C₂	semidirect
4. C₇×#3376	C₂	semidirect
5. C₇×#3371	C₂	semidirect
6. C₇×#3370	C₂	semidirect
7. C₇×#3368	C₂	semidirect
8. C₇×#3366	C₂	semidirect
9. C₇×#3365	C₂	semidirect
10. C₇×#3361	C₂	semidirect
11. C₇×#3142	C₂	semidirect
12. C₇×#3136	C₂	semidirect
13. C₇×#3136	C₂	semidirect
14. C₇×#3084	C₂	semidirect
15. C₇×#3083	C₂	semidirect
16. C₂×C₇×#478	C₂	semidirect
17. C₇×#3045	C₂	semidirect
18. C₇×#3045	C₂	semidirect
19. C₇×#3035	C₂	semidirect
20. C₇×#2962	C₂	semidirect
21. C₇×#2952	C₂	semidirect
22. C₇×#2951	C₂	semidirect
23. C₄×C₇×AGL(1,ℤ/8)	C₂	semidirect
29. C₇×#557	C₂²	semidirect
30. C₇×#557	C₂²	semidirect
35. C₇×#554	C₂²	semidirect
36. C₇×#554	C₂²	semidirect
60. C₇×#491	C₂²	semidirect
63. C₇×#490	C₂²	semidirect
68. C₇×#488	C₂²	semidirect
69. C₇×#488	C₂²	semidirect
72. C₇×#479	C₂²	semidirect
73. C₇×#479	C₂²	semidirect
78. C₇×#478	C₂²	semidirect
79. C₇×#478	C₂²	semidirect
80. C₇×#477	C₂²	semidirect
81. C₇×#476	C₂²	semidirect
82. C₇×#475	C₂²	semidirect
83. C₇×#474	C₂²	semidirect
86. C₇×#464	C₂²	semidirect
87. C₇×#464	C₂²	semidirect
90. C₇×#463	C₂²	semidirect
91. C₇×#463	C₂²	semidirect
92. C₇×#462	C₂²	semidirect
93. C₇×#461	C₂²	semidirect
96. C₇×#460	C₂²	semidirect
99. C₇×#459	C₂²	semidirect
100. C₇×#446	C₂²	semidirect
101. C₇×#446	C₂²	semidirect
102. C₇×#446	C₂²	semidirect
103. C₇×C₈×Q₈	C₂²	semidirect
105. C₇×#442	C₂²	semidirect
106. C₇×#441	C₂²	semidirect
108. C₇×#440	C₂²	semidirect
109. C₇×#440	C₂²	semidirect
110. C₄×C₇×Q₁₆	C₂²	semidirect
112. C₄×C₇×SD₁₆	C₂²	semidirect
113. C₄×C₇×SD₁₆	C₂²	semidirect
115. C₄×C₇×D₈	C₂²	semidirect
135. #61349	C₇	direct (N × H)
316. #3506	C₂×C₇	semidirect
317. #3504	C₂×C₇	semidirect
318. #3377	C₂×C₇	semidirect
319. #3376	C₂×C₇	semidirect
320. #3371	C₂×C₇	semidirect
321. #3370	C₂×C₇	semidirect
322. #3368	C₂×C₇	semidirect
323. #3366	C₂×C₇	semidirect
324. #3365	C₂×C₇	semidirect
325. #3361	C₂×C₇	semidirect
326. #3142	C₂×C₇	semidirect
327. #3136	C₂×C₇	semidirect
328. #3136	C₂×C₇	semidirect
329. #3084	C₂×C₇	semidirect
330. #3083	C₂×C₇	semidirect
331. C₂×#478	C₂×C₇	semidirect
332. #3045	C₂×C₇	semidirect
333. #3045	C₂×C₇	semidirect
334. #3035	C₂×C₇	semidirect
335. #2962	C₂×C₇	semidirect
336. #2952	C₂×C₇	semidirect
337. #2951	C₂×C₇	semidirect
338. C₄×AGL(1,ℤ/8)	C₂×C₇	semidirect
346. C₇×#41	#41	semidirect
481. #557	C₂²×C₇	semidirect
482. #557	C₂²×C₇	semidirect
487. #554	C₂²×C₇	semidirect
488. #554	C₂²×C₇	semidirect
512. #491	C₂²×C₇	semidirect
515. #490	C₂²×C₇	semidirect
520. #488	C₂²×C₇	semidirect
521. #488	C₂²×C₇	semidirect
524. #479	C₂²×C₇	semidirect
525. #479	C₂²×C₇	semidirect
530. #478	C₂²×C₇	semidirect
531. #478	C₂²×C₇	semidirect
532. #477	C₂²×C₇	semidirect
533. #476	C₂²×C₇	semidirect
534. #475	C₂²×C₇	semidirect
535. #474	C₂²×C₇	semidirect
538. #464	C₂²×C₇	semidirect
539. #464	C₂²×C₇	semidirect
542. #463	C₂²×C₇	semidirect
543. #463	C₂²×C₇	semidirect
544. #462	C₂²×C₇	semidirect
545. #461	C₂²×C₇	semidirect
548. #460	C₂²×C₇	semidirect
551. #459	C₂²×C₇	semidirect
552. #446	C₂²×C₇	semidirect
553. #446	C₂²×C₇	semidirect
554. #446	C₂²×C₇	semidirect
555. C₈×Q₈	C₂²×C₇	semidirect
557. #442	C₂²×C₇	semidirect
558. #441	C₂²×C₇	semidirect
560. #440	C₂²×C₇	semidirect
561. #440	C₂²×C₇	semidirect
562. C₄×Q₁₆	C₂²×C₇	semidirect
564. C₄×SD₁₆	C₂²×C₇	semidirect
565. C₄×SD₁₆	C₂²×C₇	semidirect
567. C₄×D₈	C₂²×C₇	semidirect
888. #41	C₇×#41	semidirect
1104. C₇	#61349	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×#3506	2
C₇×#3504	2
C₇×#3377	2
C₇×#3376	2
C₇×#3371	2
C₇×#3370	2
C₇×#3368	2
C₇×#3366	2
C₇×#3365	2
C₇×#3361	2
C₇×#3142	2
C₇×#3136	2
C₇×#3084	2
C₇×#3083	2
C₂×C₇×#478	2
C₇×#3045	2
C₇×#3035	2
C₇×#2962	2
C₇×#2952	2
C₇×#2951	2
C₄×C₇×AGL(1,ℤ/8)	2
#61349	7

Subgroups — C7×#61349 #13238565

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61349 #13238565