Subgroups — C₇×#61274 #13238490

Order 1792.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1152 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3494	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3493	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3355	C₂	1	2	yes	maximal, complemented
4	C₇×#3353	C₂	1	2	yes	maximal, complemented
5	C₇×#3350	C₂	1	2	yes	maximal, complemented
6	C₇×#3348	C₂	1	2	yes	maximal, complemented
7	C₇×#3347	C₂	1	2	yes	maximal, complemented
8	C₇×#3345	C₂	1	2	yes	maximal, complemented
9	C₇×#3341	C₂	1	2	yes	maximal, complemented
10	C₇×#3337	C₂	1	2	yes	maximal, complemented
11	C₇×#3164	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3098	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3096	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3091	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₇×#482	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3084	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3081	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3062	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3055	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2946	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2933	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2912	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2911	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₂×C₇×#131	C₂²	1	1	yes	characteristic
26	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic
27	C₇×#556	—	2	1	no	—
28	C₇×#556	C₂²	1	2	yes	complemented
29	C₇×#555	—	2	1	no	—
30	C₇×#555	C₂²	1	2	yes	—
31	C₇×#555	C₂²	1	2	yes	complemented
32	C₇×#553	—	2	1	no	—
33	C₇×#553	C₂²	1	2	yes	—
34	C₇×#553	C₂²	1	2	yes	—
35	C₇×#553	C₂²	1	2	yes	complemented
36	C₇×#552	—	2	1	no	—
37	C₇×#552	C₂²	1	2	yes	complemented
38	C₇×#551	—	2	2	no	—
39	C₇×#547	C₂²	1	2	yes	—
40	C₇×#546	—	2	2	no	—
41	C₇×#544	C₂²	1	1	yes	characteristic
42	C₇×#544	C₂²	1	1	yes	characteristic
43	C₇×#542	—	2	1	no	—
44	C₇×#540	—	2	1	no	—
45	C₇×#538	—	2	2	no	—
46	C₇×#537	C₂²	1	1	yes	characteristic
47	C₇×#535	C₂²	1	1	yes	characteristic
48	C₇×#532	—	2	1	no	—
49	C₇×#529	—	2	2	no	—
50	C₇×#529	—	2	1	no	—
51	C₇×#525	C₂²	1	1	yes	characteristic
52	C₇×#525	C₂²	1	1	yes	characteristic
53	C₂×C₇×#121	C₂²	1	1	yes	characteristic
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×#518	C₂²	1	1	yes	characteristic
58	C₂×C₇×#117	C₂²	1	1	yes	characteristic
59	C₂×C₇×#117	C₂²	1	1	yes	characteristic
60	C₇×#501	C₂²	1	2	yes	complemented
61	C₇×#501	C₂²	1	2	yes	complemented
62	C₇×#500	C₂²	1	2	yes	complemented
63	C₇×#499	C₂²	1	2	yes	complemented
64	C₇×#485	C₂²	1	1	yes	characteristic, complemented
65	C₇×#485	C₂²	1	1	yes	characteristic, complemented
66	C₇×#485	C₂²	1	2	yes	complemented
67	C₇×#484	C₂²	1	2	yes	complemented
68	C₇×#484	C₂²	1	1	yes	characteristic, complemented
69	C₇×#483	C₂²	1	1	yes	characteristic, complemented
70	C₇×#482	C₂²	1	2	yes	—
71	C₇×#482	C₂²	1	2	yes	—
72	C₇×#482	C₂²	1	2	yes	—
73	C₇×#482	C₂²	1	2	yes	—
74	C₇×#482	C₂²	1	1	yes	characteristic, complemented
75	C₇×#482	C₂²	1	2	yes	complemented
76	C₇×#482	C₂²	1	2	yes	complemented
77	C₇×#482	C₂²	1	1	yes	characteristic, complemented
78	C₇×#482	C₂²	1	2	yes	complemented
79	C₇×#481	C₂²	1	1	yes	characteristic, complemented
80	C₇×#481	C₂²	1	2	yes	complemented
81	C₇×#480	C₂²	1	2	yes	complemented
82	C₇×#480	C₂²	1	2	yes	complemented
83	C₇×#480	C₂²	1	1	yes	characteristic, complemented
84	C₇×#479	C₂²	1	2	yes	complemented
85	C₇×#478	C₂²	1	2	yes	complemented
86	C₇×#478	C₂²	1	2	yes	complemented
87	C₇×#478	C₂²	1	2	yes	complemented
88	C₇×#476	C₂²	1	2	yes	complemented
89	C₇×#476	C₂²	1	2	yes	complemented
90	C₇×#475	C₂²	1	2	yes	complemented
91	C₇×#474	C₂²	1	2	yes	complemented
92	C₇×#469	C₂²	1	2	yes	—
93	C₇×#469	C₂²	1	2	yes	complemented
94	C₇×#468	C₂²	1	2	yes	—
95	C₇×#468	C₂²	1	2	yes	complemented
96	C₇×#466	C₂²	1	2	yes	—
97	C₇×#466	C₂²	1	2	yes	complemented
98	C₇×#465	C₂²	1	2	yes	—
99	C₇×#465	C₂²	1	2	yes	complemented
100	C₇×#442	C₂²	1	2	yes	complemented
101	C₇×#440	C₂²	1	2	yes	complemented
102	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
103	C₄×C₇×D₈	C₂²	1	2	yes	complemented
104	C₇×#436	C₂²	1	2	yes	complemented
105	C₇×#435	C₂²	1	2	yes	complemented
106	C₇×#435	C₂²	1	2	yes	complemented
107	C₇×C₈×D₄	C₂²	1	2	yes	complemented
108	C₇×#428	C₂²	1	1	yes	characteristic
109	C₇×#428	C₂²	1	1	yes	characteristic
110	C₇×#428	C₂²	1	1	yes	characteristic
111	C₇×#428	C₂²	1	1	yes	characteristic
112	C₇×#428	C₂²	1	1	yes	characteristic
113	C₇×#428	C₂²	1	2	yes	complemented
114	C₇×#428	C₂²	1	2	yes	complemented
115	C₇×#428	C₂²	1	2	yes	complemented
116	C₇×#428	C₂²	1	2	yes	complemented
117	C₇×#427	C₂²	1	1	yes	characteristic
118	C₇×#427	C₂²	1	1	yes	characteristic
119	C₇×#427	C₂²	1	2	yes	complemented
120	C₇×#427	C₂²	1	2	yes	complemented
121	C₇×#427	C₂²	1	2	yes	complemented
122	C₂×C₇×#107	C₂²	1	1	yes	characteristic
123	C₂×C₇×#106	C₂²	1	1	yes	characteristic
124	C₂×C₇×#106	C₂²	1	2	yes	complemented
125	C₇×#424	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×#408	C₂²	1	1	yes	characteristic
133	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
134	C₇×#405	C₂²	1	1	yes	characteristic
135	#61274	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	C₂²×C₇×D₄	—	2	1	no	—
140	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
142	C₇×AGL(1,ℤ/8)	—	2	4	no	—
143	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
144	C₂×C₇×D₈	C₂³	1	2	yes	—
145	C₇×#131	—	2	4	no	—
146	C₂×C₇×M₁₆	—	2	4	no	—
147	C₂×C₇×M₁₆	C₂³	1	2	yes	—
148	C₂×C₇×M₁₆	C₂³	1	2	yes	—
149	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
151	C₂²×C₇×C₈	C₂³	1	2	yes	—
152	C₂²×C₇×C₈	C₂³	1	2	yes	—
153	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
154	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
155	C₇×C₄⋊Q₈	—	2	1	no	—
156	C₇×C₄⋊Q₈	—	2	1	no	—
157	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
159	C₇×#127	—	2	1	no	—
160	C₇×#126	—	2	2	no	—
161	C₇×#126	—	2	2	no	—
162	C₇×#126	—	2	2	no	—
163	C₇×#126	—	2	2	no	—
164	C₇×#126	—	2	2	no	—
165	C₇×#126	—	2	2	no	—
166	C₇×#125	—	2	1	no	—
167	C₇×#125	—	2	2	no	—
168	C₇×#125	—	2	1	no	—
169	C₇×#125	C₂³	1	2	yes	—
170	C₇×#125	C₂³	1	2	yes	—
171	C₇×#124	—	2	1	no	—
172	C₇×#124	—	2	2	no	—
173	C₇×#124	—	2	2	no	—
174	C₇×#124	—	2	2	no	—
175	C₇×#124	—	2	2	no	—
176	C₇×#124	—	2	2	no	—
177	C₇×#123	—	2	2	no	—
178	C₇×#123	—	2	1	no	—
179	C₇×#123	—	2	2	no	—
180	C₇×#123	—	2	2	no	—
181	C₇×#123	—	2	2	no	—
182	C₇×#123	—	2	2	no	—
183	C₇×#123	—	2	2	no	—
184	C₇×#123	D₄	1	2	yes	—
185	C₇×C₂²⋊Q₈	—	2	1	no	—
186	C₇×C₂²⋊Q₈	—	2	2	no	—
187	C₇×C₂²⋊Q₈	—	2	2	no	—
188	C₇×C₂²⋊Q₈	—	2	2	no	—
189	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
190	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
191	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
192	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
193	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
194	C₇×#121	—	2	2	no	—
195	C₇×#121	—	2	2	no	—
196	C₇×#121	—	2	1	no	—
197	C₇×#121	—	2	2	no	—
198	C₇×#121	—	2	2	no	—
199	C₇×#121	—	2	2	no	—
200	C₇×#121	—	2	2	no	—
201	C₇×#121	—	2	1	no	—
202	C₇×#121	—	2	1	no	—
203	C₇×#121	D₄	1	1	yes	characteristic
204	C₇×#121	D₄	1	1	yes	characteristic
205	C₇×#121	C₂³	1	1	yes	characteristic
206	C₇×#121	C₂³	1	2	yes	—
207	C₇×#121	C₂³	1	2	yes	—
208	C₇×#121	C₂³	1	2	yes	—
209	C₇×#121	C₂³	1	2	yes	—
210	C₇×#121	C₂³	1	1	yes	characteristic
211	C₇×#121	C₂³	1	2	yes	—
212	C₇×#120	—	2	1	no	—
213	C₇×#120	—	2	2	no	—
214	C₇×#120	D₄	1	2	yes	—
215	C₄×C₇×Q₈	—	2	1	no	—
216	C₄×C₇×Q₈	—	2	1	no	—
217	C₄×C₇×Q₈	—	2	2	no	—
218	C₄×C₇×Q₈	C₂³	1	2	yes	—
219	C₄×C₇×D₄	—	2	2	no	—
220	C₄×C₇×D₄	—	2	1	no	—
221	C₄×C₇×D₄	—	2	2	no	—
222	C₄×C₇×D₄	—	2	1	no	—
223	C₄×C₇×D₄	—	2	1	no	—
224	C₄×C₇×D₄	—	2	1	no	—
225	C₄×C₇×D₄	—	2	1	no	—
226	C₄×C₇×D₄	—	2	1	no	—
227	C₄×C₇×D₄	—	2	2	no	—
228	C₄×C₇×D₄	—	2	2	no	—
229	C₄×C₇×D₄	—	2	2	no	—
230	C₄×C₇×D₄	—	2	2	no	—
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	C₇×#117	—	2	1	no	—
237	C₇×#117	—	2	1	no	—
238	C₇×#117	—	2	1	no	—
239	C₇×#117	—	2	1	no	—
240	C₇×#117	—	2	1	no	—
241	C₇×#117	—	2	2	no	—
242	C₇×#117	—	2	2	no	—
243	C₇×#117	—	2	2	no	—
244	C₇×#117	C₂³	1	2	yes	—
245	C₇×#117	C₂³	1	2	yes	—
246	C₇×#117	C₂³	1	2	yes	—
247	C₇×#117	C₂³	1	1	yes	characteristic
248	C₇×#117	C₂³	1	1	yes	characteristic
249	C₇×#117	C₂³	1	2	yes	—
250	C₇×#117	C₂³	1	1	yes	characteristic
251	C₇×#117	C₂³	1	1	yes	characteristic
252	C₇×#117	C₂³	1	1	yes	characteristic
253	C₇×#117	C₂³	1	1	yes	characteristic
254	C₂×C₇×C₄⋊C₄	—	2	1	no	—
255	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
256	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
258	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
263	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
264	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₄²×C₇	—	2	1	no	—
267	C₂×C₄²×C₇	—	2	1	no	—
268	C₇×#107	C₂³	1	2	yes	—
269	C₇×#107	C₂³	1	2	yes	—
270	C₇×#107	C₂³	1	1	yes	characteristic
271	C₇×#107	C₂³	1	2	yes	—
272	C₇×#107	C₂³	1	1	yes	characteristic
273	C₇×#107	C₂³	1	2	yes	—
274	C₇×#107	C₂³	1	1	yes	characteristic
275	C₇×#107	C₂³	1	2	yes	—
276	C₇×#107	C₂³	1	2	yes	—
277	C₇×#107	C₂³	1	1	yes	characteristic
278	C₇×#107	C₂³	1	2	yes	—
279	C₇×#106	C₂³	1	2	yes	—
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	1	yes	characteristic
284	C₇×#106	C₂³	1	2	yes	—
285	C₇×#106	C₂³	1	2	yes	—
286	C₇×#106	C₂³	1	1	yes	characteristic
287	C₇×#106	C₂³	1	1	yes	characteristic
288	C₇×#106	C₂³	1	1	yes	characteristic
289	C₇×#106	C₂³	1	2	yes	—
290	C₇×C₄⋊C₈	C₂³	1	2	yes	—
291	C₇×C₄⋊C₈	C₂³	1	2	yes	—
292	C₇×#103	C₂³	1	2	yes	—
293	C₇×#103	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
307	C₇×#102	C₂³	1	2	yes	—
308	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
312	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
313	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
314	C₇×#97	C₂³	1	2	yes	—
315	C₄×C₇×C₈	C₂³	1	2	yes	—
316	#3494	C₂×C₇	1	1	yes	characteristic, complemented
317	#3493	C₂×C₇	1	1	yes	characteristic, complemented
318	#3355	C₂×C₇	1	2	yes	complemented
319	#3353	C₂×C₇	1	2	yes	complemented
320	#3350	C₂×C₇	1	2	yes	complemented
321	#3348	C₂×C₇	1	2	yes	complemented
322	#3347	C₂×C₇	1	2	yes	complemented
323	#3345	C₂×C₇	1	2	yes	complemented
324	#3341	C₂×C₇	1	2	yes	complemented
325	#3337	C₂×C₇	1	2	yes	complemented
326	#3164	C₂×C₇	1	1	yes	characteristic, complemented
327	#3098	C₂×C₇	1	1	yes	characteristic, complemented
328	#3096	C₂×C₇	1	1	yes	characteristic, complemented
329	#3091	C₂×C₇	1	1	yes	characteristic, complemented
330	C₂×#482	C₂×C₇	1	1	yes	characteristic, complemented
331	#3084	C₂×C₇	1	1	yes	characteristic, complemented
332	#3081	C₂×C₇	1	1	yes	characteristic, complemented
333	#3062	C₂×C₇	1	1	yes	characteristic, complemented
334	#3055	C₂×C₇	1	1	yes	characteristic, complemented
335	#2946	C₂×C₇	1	1	yes	characteristic, complemented
336	#2933	C₂×C₇	1	1	yes	characteristic, complemented
337	#2912	C₂×C₇	1	1	yes	characteristic, complemented
338	#2911	C₂×C₇	1	1	yes	characteristic, complemented
339	C₂⁴×C₇	—	2	1	no	—
340	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
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	C₂×C₇×Q₈	—	2	2	no	—
347	C₂×C₇×Q₈	—	2	2	no	—
348	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
349	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
350	C₂×C₇×D₄	—	2	1	no	—
351	C₂×C₇×D₄	—	2	2	no	—
352	C₂×C₇×D₄	—	2	1	no	—
353	C₂×C₇×D₄	—	2	2	no	—
354	C₂×C₇×D₄	—	2	1	no	—
355	C₂×C₇×D₄	—	2	2	no	—
356	C₂×C₇×D₄	—	2	2	no	—
357	C₂×C₇×D₄	—	2	2	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	—	8	2	no	—
362	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
363	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
364	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
365	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
366	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
367	C₂×C₇×D₄	C₂⁴	1	2	yes	—
368	C₂²×C₄×C₇	—	2	2	no	—
369	C₂²×C₄×C₇	—	2	2	no	—
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	2	no	—
376	C₂²×C₄×C₇	—	2	2	no	—
377	C₂²×C₄×C₇	—	2	1	no	—
378	C₂²×C₄×C₇	—	2	2	no	—
379	C₂²×C₄×C₇	—	2	2	no	—
380	C₂²×C₄×C₇	—	2	2	no	—
381	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
382	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
383	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
384	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
385	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
388	C₇×SD₁₆	—	2	4	no	—
389	C₇×D₈	—	2	4	no	—
390	C₇×M₁₆	—	2	2	no	—
391	C₇×M₁₆	—	2	4	no	—
392	C₇×M₁₆	—	2	4	no	—
393	C₇×M₁₆	#41	1	4	yes	complemented
394	C₂×C₇×C₈	—	2	2	no	—
395	C₂×C₇×C₈	—	2	2	no	—
396	C₂×C₇×C₈	—	2	4	no	—
397	C₂×C₇×C₈	—	2	4	no	—
398	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
399	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
400	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
401	C₂×C₇×C₈	C₂⁴	1	2	yes	—
402	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
403	C₂×C₇×C₈	C₂⁴	1	2	yes	—
404	C₇×C₄⋊C₄	—	2	1	no	—
405	C₇×C₄⋊C₄	—	2	2	no	—
406	C₇×C₄⋊C₄	—	2	1	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	2	no	—
411	C₇×C₄⋊C₄	—	2	2	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	1	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	C₂×D₄	1	1	yes	characteristic
422	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
423	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	1	yes	characteristic
430	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	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	1	no	—
442	C₇×C₂²⋊C₄	—	2	2	no	—
443	C₇×C₂²⋊C₄	—	2	2	no	—
444	C₇×C₂²⋊C₄	—	2	1	no	—
445	C₇×C₂²⋊C₄	—	2	1	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	2	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	1	no	—
455	C₇×C₂²⋊C₄	—	2	2	no	—
456	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
457	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
458	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
459	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
460	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
461	C₄²×C₇	—	2	1	no	—
462	C₄²×C₇	—	2	2	no	—
463	C₄²×C₇	—	2	1	no	—
464	C₄²×C₇	—	2	1	no	—
465	C₄²×C₇	—	2	2	no	—
466	C₄²×C₇	—	2	1	no	—
467	C₄²×C₇	—	2	2	no	—
468	C₄²×C₇	—	2	2	no	—
469	C₄²×C₇	—	2	2	no	—
470	C₄²×C₇	—	2	1	no	—
471	C₄²×C₇	C₂⁴	1	2	yes	—
472	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
473	C₂×#131	C₂²×C₇	1	1	yes	characteristic
474	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic
475	#556	—	2	1	no	—
476	#556	C₂²×C₇	1	2	yes	complemented
477	#555	—	2	1	no	—
478	#555	C₂²×C₇	1	2	yes	—
479	#555	C₂²×C₇	1	2	yes	complemented
480	#553	—	2	1	no	—
481	#553	C₂²×C₇	1	2	yes	—
482	#553	C₂²×C₇	1	2	yes	—
483	#553	C₂²×C₇	1	2	yes	complemented
484	#552	—	2	1	no	—
485	#552	C₂²×C₇	1	2	yes	complemented
486	#551	—	2	2	no	—
487	#547	C₂²×C₇	1	2	yes	—
488	#546	—	2	2	no	—
489	#544	C₂²×C₇	1	1	yes	characteristic
490	#544	C₂²×C₇	1	1	yes	characteristic
491	#542	—	2	1	no	—
492	#540	—	2	1	no	—
493	#538	—	2	2	no	—
494	#537	C₂²×C₇	1	1	yes	characteristic
495	#535	C₂²×C₇	1	1	yes	characteristic
496	#532	—	2	1	no	—
497	#529	—	2	2	no	—
498	#529	—	2	1	no	—
499	#525	C₂²×C₇	1	1	yes	characteristic
500	#525	C₂²×C₇	1	1	yes	characteristic
501	C₂×#121	C₂²×C₇	1	1	yes	characteristic
502	#520	C₂²×C₇	1	1	yes	characteristic
503	#520	C₂²×C₇	1	1	yes	characteristic
504	#520	C₂²×C₇	1	1	yes	characteristic
505	#518	C₂²×C₇	1	1	yes	characteristic
506	C₂×#117	C₂²×C₇	1	1	yes	characteristic
507	C₂×#117	C₂²×C₇	1	1	yes	characteristic
508	#501	C₂²×C₇	1	2	yes	complemented
509	#501	C₂²×C₇	1	2	yes	complemented
510	#500	C₂²×C₇	1	2	yes	complemented
511	#499	C₂²×C₇	1	2	yes	complemented
512	#485	C₂²×C₇	1	1	yes	characteristic, complemented
513	#485	C₂²×C₇	1	1	yes	characteristic, complemented
514	#485	C₂²×C₇	1	2	yes	complemented
515	#484	C₂²×C₇	1	2	yes	complemented
516	#484	C₂²×C₇	1	1	yes	characteristic, complemented
517	#483	C₂²×C₇	1	1	yes	characteristic, complemented
518	#482	C₂²×C₇	1	2	yes	—
519	#482	C₂²×C₇	1	2	yes	—
520	#482	C₂²×C₇	1	2	yes	—
521	#482	C₂²×C₇	1	2	yes	—
522	#482	C₂²×C₇	1	1	yes	characteristic, complemented
523	#482	C₂²×C₇	1	2	yes	complemented
524	#482	C₂²×C₇	1	2	yes	complemented
525	#482	C₂²×C₇	1	1	yes	characteristic, complemented
526	#482	C₂²×C₇	1	2	yes	complemented
527	#481	C₂²×C₇	1	1	yes	characteristic, complemented
528	#481	C₂²×C₇	1	2	yes	complemented
529	#480	C₂²×C₇	1	2	yes	complemented
530	#480	C₂²×C₇	1	2	yes	complemented
531	#480	C₂²×C₇	1	1	yes	characteristic, complemented
532	#479	C₂²×C₇	1	2	yes	complemented
533	#478	C₂²×C₇	1	2	yes	complemented
534	#478	C₂²×C₇	1	2	yes	complemented
535	#478	C₂²×C₇	1	2	yes	complemented
536	#476	C₂²×C₇	1	2	yes	complemented
537	#476	C₂²×C₇	1	2	yes	complemented
538	#475	C₂²×C₇	1	2	yes	complemented
539	#474	C₂²×C₇	1	2	yes	complemented
540	#469	C₂²×C₇	1	2	yes	—
541	#469	C₂²×C₇	1	2	yes	complemented
542	#468	C₂²×C₇	1	2	yes	—
543	#468	C₂²×C₇	1	2	yes	complemented
544	#466	C₂²×C₇	1	2	yes	—
545	#466	C₂²×C₇	1	2	yes	complemented
546	#465	C₂²×C₇	1	2	yes	—
547	#465	C₂²×C₇	1	2	yes	complemented
548	#442	C₂²×C₇	1	2	yes	complemented
549	#440	C₂²×C₇	1	2	yes	complemented
550	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
551	C₄×D₈	C₂²×C₇	1	2	yes	complemented
552	#436	C₂²×C₇	1	2	yes	complemented
553	#435	C₂²×C₇	1	2	yes	complemented
554	#435	C₂²×C₇	1	2	yes	complemented
555	C₈×D₄	C₂²×C₇	1	2	yes	complemented
556	#428	C₂²×C₇	1	1	yes	characteristic
557	#428	C₂²×C₇	1	1	yes	characteristic
558	#428	C₂²×C₇	1	1	yes	characteristic
559	#428	C₂²×C₇	1	1	yes	characteristic
560	#428	C₂²×C₇	1	1	yes	characteristic
561	#428	C₂²×C₇	1	2	yes	complemented
562	#428	C₂²×C₇	1	2	yes	complemented
563	#428	C₂²×C₇	1	2	yes	complemented
564	#428	C₂²×C₇	1	2	yes	complemented
565	#427	C₂²×C₇	1	1	yes	characteristic
566	#427	C₂²×C₇	1	1	yes	characteristic
567	#427	C₂²×C₇	1	2	yes	complemented
568	#427	C₂²×C₇	1	2	yes	complemented
569	#427	C₂²×C₇	1	2	yes	complemented
570	C₂×#107	C₂²×C₇	1	1	yes	characteristic
571	C₂×#106	C₂²×C₇	1	1	yes	characteristic
572	C₂×#106	C₂²×C₇	1	2	yes	complemented
573	#424	C₂²×C₇	1	1	yes	characteristic
574	#418	C₂²×C₇	1	1	yes	characteristic
575	#417	C₂²×C₇	1	1	yes	characteristic
576	#416	C₂²×C₇	1	1	yes	characteristic
577	#416	C₂²×C₇	1	1	yes	characteristic
578	C₂×#102	C₂²×C₇	1	1	yes	characteristic
579	C₂×#102	C₂²×C₇	1	1	yes	characteristic
580	#408	C₂²×C₇	1	1	yes	characteristic
581	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
582	#405	C₂²×C₇	1	1	yes	characteristic
583	C₂³×C₇	—	2	2	no	—
584	C₂³×C₇	—	2	1	no	—
585	C₂³×C₇	—	2	2	no	—
586	C₂³×C₇	—	4	1	no	—
587	C₂³×C₇	—	4	1	no	—
588	C₂³×C₇	—	4	2	no	—
589	C₂³×C₇	—	8	1	no	—
590	C₂³×C₇	—	8	1	no	—
591	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
592	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
593	C₂³×C₇	C₂²×D₄	1	2	yes	—
594	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
595	C₇×Q₈	—	2	2	no	—
596	C₇×Q₈	—	2	1	no	—
597	C₇×Q₈	—	2	1	no	—
598	C₇×Q₈	—	8	2	no	—
599	C₇×Q₈	—	8	2	no	—
600	C₇×D₄	—	2	4	no	—
601	C₇×D₄	—	2	2	no	—
602	C₇×D₄	—	2	1	no	—
603	C₇×D₄	—	2	2	no	—
604	C₇×D₄	—	2	2	no	—
605	C₇×D₄	—	2	1	no	—
606	C₇×D₄	—	4	2	no	—
607	C₇×D₄	—	4	2	no	—
608	C₇×D₄	—	4	4	no	—
609	C₇×D₄	—	4	2	no	—
610	C₇×D₄	—	4	2	no	—
611	C₇×D₄	—	8	1	no	—
612	C₇×D₄	—	8	2	no	—
613	C₇×D₄	—	8	2	no	—
614	C₇×D₄	—	8	1	no	—
615	C₇×D₄	—	8	2	no	—
616	C₇×D₄	—	8	2	no	—
617	C₂×C₄×C₇	—	2	2	no	—
618	C₂×C₄×C₇	—	2	2	no	—
619	C₂×C₄×C₇	—	2	2	no	—
620	C₂×C₄×C₇	—	2	1	no	—
621	C₂×C₄×C₇	—	2	2	no	—
622	C₂×C₄×C₇	—	2	1	no	—
623	C₂×C₄×C₇	—	2	1	no	—
624	C₂×C₄×C₇	—	2	1	no	—
625	C₂×C₄×C₇	—	2	2	no	—
626	C₂×C₄×C₇	—	2	1	no	—
627	C₂×C₄×C₇	—	2	2	no	—
628	C₂×C₄×C₇	—	2	1	no	—
629	C₂×C₄×C₇	—	2	1	no	—
630	C₂×C₄×C₇	—	2	1	no	—
631	C₂×C₄×C₇	—	2	2	no	—
632	C₂×C₄×C₇	—	2	1	no	—
633	C₂×C₄×C₇	—	2	1	no	—
634	C₂×C₄×C₇	—	2	1	no	—
635	C₂×C₄×C₇	—	2	2	no	—
636	C₂×C₄×C₇	—	4	2	no	—
637	C₂×C₄×C₇	—	4	2	no	—
638	C₂×C₄×C₇	—	8	2	no	—
639	C₂×C₄×C₇	—	8	2	no	—
640	C₂×C₄×C₇	—	8	2	no	—
641	C₂×C₄×C₇	—	8	1	no	—
642	C₂×C₄×C₇	—	8	2	no	—
643	C₂×C₄×C₇	—	8	1	no	—
644	C₂×C₄×C₇	—	8	1	no	—
645	C₂×C₄×C₇	—	8	1	no	—
646	C₂×C₄×C₇	—	8	2	no	—
647	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
648	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
649	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
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	C₂×#41	1	2	yes	—
654	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
655	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
656	C₇×C₈	—	2	1	no	—
657	C₇×C₈	—	2	1	no	—
658	C₇×C₈	—	2	2	no	—
659	C₇×C₈	—	2	1	no	—
660	C₇×C₈	—	2	1	no	—
661	C₇×C₈	C₂×#41	1	4	yes	—
662	C₂×#41	—	2	2	no	—
663	C₂×#41	C₂³×C₇	1	1	yes	characteristic
664	C₂×#41	C₂³×C₇	1	1	yes	characteristic
665	C₂²×D₄	—	2	1	no	—
666	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
667	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
668	AGL(1,ℤ/8)	—	2	4	no	—
669	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
670	C₂×D₈	C₂³×C₇	1	2	yes	—
671	#131	—	2	4	no	—
672	C₂×M₁₆	—	2	4	no	—
673	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
674	C₂×M₁₆	C₂³×C₇	1	2	yes	—
675	C₂×M₁₆	C₂³×C₇	1	2	yes	—
676	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
677	C₂²×C₈	C₂³×C₇	1	2	yes	—
678	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
679	C₂²×C₈	C₂³×C₇	1	2	yes	—
680	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
681	C₄⋊Q₈	—	2	1	no	—
682	C₄⋊Q₈	—	2	1	no	—
683	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
684	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
685	#127	—	2	1	no	—
686	#126	—	2	2	no	—
687	#126	—	2	2	no	—
688	#126	—	2	2	no	—
689	#126	—	2	2	no	—
690	#126	—	2	2	no	—
691	#126	—	2	2	no	—
692	#125	—	2	1	no	—
693	#125	—	2	2	no	—
694	#125	—	2	1	no	—
695	#125	C₂³×C₇	1	2	yes	—
696	#125	C₂³×C₇	1	2	yes	—
697	#124	—	2	1	no	—
698	#124	—	2	2	no	—
699	#124	—	2	2	no	—
700	#124	—	2	2	no	—
701	#124	—	2	2	no	—
702	#124	—	2	2	no	—
703	#123	—	2	2	no	—
704	#123	—	2	1	no	—
705	#123	—	2	2	no	—
706	#123	—	2	2	no	—
707	#123	—	2	2	no	—
708	#123	—	2	2	no	—
709	#123	—	2	2	no	—
710	#123	C₇×D₄	1	2	yes	—
711	C₂²⋊Q₈	—	2	1	no	—
712	C₂²⋊Q₈	—	2	2	no	—
713	C₂²⋊Q₈	—	2	2	no	—
714	C₂²⋊Q₈	—	2	2	no	—
715	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
716	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
717	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
718	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
719	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
720	#121	—	2	2	no	—
721	#121	—	2	2	no	—
722	#121	—	2	1	no	—
723	#121	—	2	2	no	—
724	#121	—	2	2	no	—
725	#121	—	2	2	no	—
726	#121	—	2	2	no	—
727	#121	—	2	1	no	—
728	#121	—	2	1	no	—
729	#121	C₇×D₄	1	1	yes	characteristic
730	#121	C₇×D₄	1	1	yes	characteristic
731	#121	C₂³×C₇	1	2	yes	—
732	#121	C₂³×C₇	1	2	yes	—
733	#121	C₂³×C₇	1	1	yes	characteristic
734	#121	C₂³×C₇	1	1	yes	characteristic
735	#121	C₂³×C₇	1	2	yes	—
736	#121	C₂³×C₇	1	2	yes	—
737	#121	C₂³×C₇	1	2	yes	—
738	#120	—	2	1	no	—
739	#120	—	2	2	no	—
740	#120	C₇×D₄	1	2	yes	—
741	C₄×Q₈	—	2	1	no	—
742	C₄×Q₈	—	2	1	no	—
743	C₄×Q₈	—	2	2	no	—
744	C₄×Q₈	C₂³×C₇	1	2	yes	—
745	C₄×D₄	—	2	2	no	—
746	C₄×D₄	—	2	1	no	—
747	C₄×D₄	—	2	2	no	—
748	C₄×D₄	—	2	1	no	—
749	C₄×D₄	—	2	1	no	—
750	C₄×D₄	—	2	1	no	—
751	C₄×D₄	—	2	1	no	—
752	C₄×D₄	—	2	1	no	—
753	C₄×D₄	—	2	2	no	—
754	C₄×D₄	—	2	2	no	—
755	C₄×D₄	—	2	2	no	—
756	C₄×D₄	—	2	2	no	—
757	C₄×D₄	C₂³×C₇	1	2	yes	—
758	C₄×D₄	C₂³×C₇	1	2	yes	—
759	C₄×D₄	C₂³×C₇	1	2	yes	—
760	C₄×D₄	C₂³×C₇	1	2	yes	—
761	C₄×D₄	C₂³×C₇	1	2	yes	—
762	#117	—	2	1	no	—
763	#117	—	2	1	no	—
764	#117	—	2	1	no	—
765	#117	—	2	1	no	—
766	#117	—	2	1	no	—
767	#117	—	2	2	no	—
768	#117	—	2	2	no	—
769	#117	—	2	2	no	—
770	#117	C₂³×C₇	1	1	yes	characteristic
771	#117	C₂³×C₇	1	1	yes	characteristic
772	#117	C₂³×C₇	1	2	yes	—
773	#117	C₂³×C₇	1	1	yes	characteristic
774	#117	C₂³×C₇	1	2	yes	—
775	#117	C₂³×C₇	1	1	yes	characteristic
776	#117	C₂³×C₇	1	1	yes	characteristic
777	#117	C₂³×C₇	1	2	yes	—
778	#117	C₂³×C₇	1	2	yes	—
779	#117	C₂³×C₇	1	1	yes	characteristic
780	C₂×C₄⋊C₄	—	2	1	no	—
781	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
786	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
787	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
788	C₂×C₂²⋊C₄	—	2	1	no	—
789	C₂×C₂²⋊C₄	—	2	1	no	—
790	C₂×C₂²⋊C₄	—	2	1	no	—
791	C₂×C₂²⋊C₄	—	2	2	no	—
792	C₂×C₄²	—	2	1	no	—
793	C₂×C₄²	—	2	1	no	—
794	#107	C₂³×C₇	1	2	yes	—
795	#107	C₂³×C₇	1	2	yes	—
796	#107	C₂³×C₇	1	1	yes	characteristic
797	#107	C₂³×C₇	1	1	yes	characteristic
798	#107	C₂³×C₇	1	1	yes	characteristic
799	#107	C₂³×C₇	1	1	yes	characteristic
800	#107	C₂³×C₇	1	2	yes	—
801	#107	C₂³×C₇	1	2	yes	—
802	#107	C₂³×C₇	1	2	yes	—
803	#107	C₂³×C₇	1	2	yes	—
804	#107	C₂³×C₇	1	2	yes	—
805	#106	C₂³×C₇	1	2	yes	—
806	#106	C₂³×C₇	1	2	yes	—
807	#106	C₂³×C₇	1	1	yes	characteristic
808	#106	C₂³×C₇	1	2	yes	—
809	#106	C₂³×C₇	1	2	yes	—
810	#106	C₂³×C₇	1	1	yes	characteristic
811	#106	C₂³×C₇	1	1	yes	characteristic
812	#106	C₂³×C₇	1	1	yes	characteristic
813	#106	C₂³×C₇	1	2	yes	—
814	#106	C₂³×C₇	1	2	yes	—
815	#106	C₂³×C₇	1	2	yes	—
816	C₄⋊C₈	C₂³×C₇	1	2	yes	—
817	C₄⋊C₈	C₂³×C₇	1	2	yes	—
818	#103	C₂³×C₇	1	1	yes	characteristic
819	#103	C₂³×C₇	1	1	yes	characteristic
820	#103	C₂³×C₇	1	1	yes	characteristic
821	#103	C₂³×C₇	1	1	yes	characteristic
822	#103	C₂³×C₇	1	2	yes	—
823	#102	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	1	yes	characteristic
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	2	yes	—
832	#102	C₂³×C₇	1	2	yes	—
833	#102	C₂³×C₇	1	2	yes	—
834	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
835	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
836	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
837	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
838	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
839	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
840	#97	C₂³×C₇	1	2	yes	—
841	C₄×C₈	C₂³×C₇	1	2	yes	—
842	C₂²×C₇	—	2	1	no	—
843	C₂²×C₇	—	2	1	no	—
844	C₂²×C₇	—	2	2	no	—
845	C₂²×C₇	—	2	1	no	—
846	C₂²×C₇	—	2	1	no	—
847	C₂²×C₇	—	2	1	no	—
848	C₂²×C₇	—	2	2	no	—
849	C₂²×C₇	—	2	1	no	—
850	C₂²×C₇	—	2	1	no	—
851	C₂²×C₇	—	2	1	no	—
852	C₂²×C₇	—	2	2	no	—
853	C₂²×C₇	—	4	1	no	—
854	C₂²×C₇	—	4	2	no	—
855	C₂²×C₇	—	4	2	no	—
856	C₂²×C₇	—	4	1	no	—
857	C₂²×C₇	—	4	1	no	—
858	C₂²×C₇	—	4	2	no	—
859	C₂²×C₇	—	8	2	no	—
860	C₂²×C₇	—	16	2	no	—
861	C₂²×C₇	#547	1	2	yes	—
862	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
863	C₄×C₇	—	2	2	no	—
864	C₄×C₇	—	2	2	no	—
865	C₄×C₇	—	2	1	no	—
866	C₄×C₇	—	2	1	no	—
867	C₄×C₇	—	2	2	no	—
868	C₄×C₇	—	4	1	no	—
869	C₄×C₇	—	4	2	no	—
870	C₄×C₇	—	4	1	no	—
871	C₄×C₇	—	4	1	no	—
872	C₄×C₇	—	4	1	no	—
873	C₄×C₇	—	4	1	no	—
874	C₄×C₇	—	4	2	no	—
875	C₄×C₇	—	4	2	no	—
876	C₄×C₇	—	4	1	no	—
877	C₄×C₇	—	4	1	no	—
878	C₄×C₇	#547	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	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
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	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	2	no	—
890	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
891	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	1	no	—
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	8	2	no	—
904	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
905	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
906	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
907	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
908	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
909	C₂×D₄	C₂⁴×C₇	1	2	yes	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
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	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	1	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
924	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
925	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
926	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
927	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
928	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
929	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
930	SD₁₆	—	2	4	no	—
931	D₈	—	2	4	no	—
932	M₁₆	—	2	2	no	—
933	M₁₆	—	2	4	no	—
934	M₁₆	—	2	4	no	—
935	M₁₆	C₇×#41	1	4	yes	complemented
936	C₂×C₈	—	2	2	no	—
937	C₂×C₈	—	2	2	no	—
938	C₂×C₈	—	2	4	no	—
939	C₂×C₈	—	2	4	no	—
940	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
941	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
942	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
943	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
944	C₂×C₈	C₂⁴×C₇	1	2	yes	—
945	C₂×C₈	C₂⁴×C₇	1	2	yes	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	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	1	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	C₂×C₇×D₄	1	1	yes	characteristic
964	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
965	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
966	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
967	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
968	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
970	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	1	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	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	1	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
999	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1000	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1001	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1002	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	2	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	2	no	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	C₂⁴×C₇	1	2	yes	—
1014	C₂×C₇	—	2	2	no	—
1015	C₂×C₇	—	4	2	no	—
1016	C₂×C₇	—	4	1	no	—
1017	C₂×C₇	—	4	1	no	—
1018	C₂×C₇	—	8	1	no	—
1019	C₂×C₇	—	8	2	no	—
1020	C₂×C₇	C₂×#547	1	1	yes	characteristic
1021	C₂×C₇	#3584	1	1	yes	characteristic
1022	C₂×C₇	#3585	1	1	yes	characteristic
1023	C₂³	—	2	2	no	—
1024	C₂³	—	2	1	no	—
1025	C₂³	—	2	2	no	—
1026	C₂³	—	4	1	no	—
1027	C₂³	—	4	1	no	—
1028	C₂³	—	4	2	no	—
1029	C₂³	—	8	1	no	—
1030	C₂³	—	8	1	no	—
1031	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1032	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1033	C₂³	C₂²×C₇×D₄	1	2	yes	—
1034	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1035	Q₈	—	2	2	no	—
1036	Q₈	—	2	1	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	8	2	no	—
1039	Q₈	—	8	2	no	—
1040	D₄	—	2	4	no	—
1041	D₄	—	2	1	no	—
1042	D₄	—	2	2	no	—
1043	D₄	—	2	2	no	—
1044	D₄	—	2	1	no	—
1045	D₄	—	2	2	no	—
1046	D₄	—	4	2	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	4	no	—
1049	D₄	—	4	2	no	—
1050	D₄	—	4	2	no	—
1051	D₄	—	8	1	no	—
1052	D₄	—	8	2	no	—
1053	D₄	—	8	2	no	—
1054	D₄	—	8	1	no	—
1055	D₄	—	8	2	no	—
1056	D₄	—	8	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	4	2	no	—
1077	C₂×C₄	—	4	2	no	—
1078	C₂×C₄	—	8	2	no	—
1079	C₂×C₄	—	8	2	no	—
1080	C₂×C₄	—	8	2	no	—
1081	C₂×C₄	—	8	1	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	—	8	2	no	—
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	2	yes	—
1092	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1093	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1094	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1095	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1096	C₈	—	2	1	no	—
1097	C₈	—	2	1	no	—
1098	C₈	—	2	2	no	—
1099	C₈	—	2	1	no	—
1100	C₈	—	2	1	no	—
1101	C₈	C₂×C₇×#41	1	4	yes	—
1102	C₇	#61274	1	1	yes	characteristic, direct product factor, Sylow
1103	C₂²	—	2	1	no	—
1104	C₂²	—	2	1	no	—
1105	C₂²	—	2	2	no	—
1106	C₂²	—	2	1	no	—
1107	C₂²	—	2	1	no	—
1108	C₂²	—	2	1	no	—
1109	C₂²	—	2	2	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	1	no	—
1113	C₂²	—	2	2	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	4	2	no	—
1117	C₂²	—	4	1	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	—	4	2	no	—
1120	C₂²	—	8	2	no	—
1121	C₂²	—	16	2	no	—
1122	C₂²	C₇×#547	1	2	yes	—
1123	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
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	—	4	1	no	—
1130	C₄	—	4	2	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	1	no	—
1133	C₄	—	4	1	no	—
1134	C₄	—	4	1	no	—
1135	C₄	—	4	2	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	C₇×#547	1	2	yes	—
1140	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1141	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1142	C₂	—	2	2	no	—
1143	C₂	—	4	1	no	—
1144	C₂	—	4	1	no	—
1145	C₂	—	4	2	no	—
1146	C₂	—	8	2	no	—
1147	C₂	—	8	1	no	—
1148	C₂	C₂×C₇×#547	1	1	yes	characteristic
1149	C₂	C₇×#3584	1	1	yes	characteristic
1150	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3494	C₂	semidirect
2. C₇×#3493	C₂	semidirect
3. C₇×#3355	C₂	semidirect
4. C₇×#3353	C₂	semidirect
5. C₇×#3350	C₂	semidirect
6. C₇×#3348	C₂	semidirect
7. C₇×#3347	C₂	semidirect
8. C₇×#3345	C₂	semidirect
9. C₇×#3341	C₂	semidirect
10. C₇×#3337	C₂	semidirect
11. C₇×#3164	C₂	semidirect
12. C₇×#3098	C₂	semidirect
13. C₇×#3096	C₂	semidirect
14. C₇×#3091	C₂	semidirect
15. C₂×C₇×#482	C₂	semidirect
16. C₇×#3084	C₂	semidirect
17. C₇×#3081	C₂	semidirect
18. C₇×#3062	C₂	semidirect
19. C₇×#3055	C₂	semidirect
20. C₇×#2946	C₂	semidirect
21. C₇×#2933	C₂	semidirect
22. C₇×#2912	C₂	semidirect
23. C₇×#2911	C₂	semidirect
28. C₇×#556	C₂²	semidirect
31. C₇×#555	C₂²	semidirect
35. C₇×#553	C₂²	semidirect
37. C₇×#552	C₂²	semidirect
60. C₇×#501	C₂²	semidirect
61. C₇×#501	C₂²	semidirect
62. C₇×#500	C₂²	semidirect
63. C₇×#499	C₂²	semidirect
64. C₇×#485	C₂²	semidirect
65. C₇×#485	C₂²	semidirect
66. C₇×#485	C₂²	semidirect
67. C₇×#484	C₂²	semidirect
68. C₇×#484	C₂²	semidirect
69. C₇×#483	C₂²	semidirect
74. C₇×#482	C₂²	semidirect
75. C₇×#482	C₂²	semidirect
76. C₇×#482	C₂²	semidirect
77. C₇×#482	C₂²	semidirect
78. C₇×#482	C₂²	semidirect
79. C₇×#481	C₂²	semidirect
80. C₇×#481	C₂²	semidirect
81. C₇×#480	C₂²	semidirect
82. C₇×#480	C₂²	semidirect
83. C₇×#480	C₂²	semidirect
84. C₇×#479	C₂²	semidirect
85. C₇×#478	C₂²	semidirect
86. C₇×#478	C₂²	semidirect
87. C₇×#478	C₂²	semidirect
88. C₇×#476	C₂²	semidirect
89. C₇×#476	C₂²	semidirect
90. C₇×#475	C₂²	semidirect
91. C₇×#474	C₂²	semidirect
93. C₇×#469	C₂²	semidirect
95. C₇×#468	C₂²	semidirect
97. C₇×#466	C₂²	semidirect
99. C₇×#465	C₂²	semidirect
100. C₇×#442	C₂²	semidirect
101. C₇×#440	C₂²	semidirect
102. C₄×C₇×SD₁₆	C₂²	semidirect
103. C₄×C₇×D₈	C₂²	semidirect
104. C₇×#436	C₂²	semidirect
105. C₇×#435	C₂²	semidirect
106. C₇×#435	C₂²	semidirect
107. C₇×C₈×D₄	C₂²	semidirect
113. C₇×#428	C₂²	semidirect
114. C₇×#428	C₂²	semidirect
115. C₇×#428	C₂²	semidirect
116. C₇×#428	C₂²	semidirect
119. C₇×#427	C₂²	semidirect
120. C₇×#427	C₂²	semidirect
121. C₇×#427	C₂²	semidirect
124. C₂×C₇×#106	C₂²	semidirect
135. #61274	C₇	direct (N × H)
316. #3494	C₂×C₇	semidirect
317. #3493	C₂×C₇	semidirect
318. #3355	C₂×C₇	semidirect
319. #3353	C₂×C₇	semidirect
320. #3350	C₂×C₇	semidirect
321. #3348	C₂×C₇	semidirect
322. #3347	C₂×C₇	semidirect
323. #3345	C₂×C₇	semidirect
324. #3341	C₂×C₇	semidirect
325. #3337	C₂×C₇	semidirect
326. #3164	C₂×C₇	semidirect
327. #3098	C₂×C₇	semidirect
328. #3096	C₂×C₇	semidirect
329. #3091	C₂×C₇	semidirect
330. C₂×#482	C₂×C₇	semidirect
331. #3084	C₂×C₇	semidirect
332. #3081	C₂×C₇	semidirect
333. #3062	C₂×C₇	semidirect
334. #3055	C₂×C₇	semidirect
335. #2946	C₂×C₇	semidirect
336. #2933	C₂×C₇	semidirect
337. #2912	C₂×C₇	semidirect
338. #2911	C₂×C₇	semidirect
393. C₇×M₁₆	#41	semidirect
476. #556	C₂²×C₇	semidirect
479. #555	C₂²×C₇	semidirect
483. #553	C₂²×C₇	semidirect
485. #552	C₂²×C₇	semidirect
508. #501	C₂²×C₇	semidirect
509. #501	C₂²×C₇	semidirect
510. #500	C₂²×C₇	semidirect
511. #499	C₂²×C₇	semidirect
512. #485	C₂²×C₇	semidirect
513. #485	C₂²×C₇	semidirect
514. #485	C₂²×C₇	semidirect
515. #484	C₂²×C₇	semidirect
516. #484	C₂²×C₇	semidirect
517. #483	C₂²×C₇	semidirect
522. #482	C₂²×C₇	semidirect
523. #482	C₂²×C₇	semidirect
524. #482	C₂²×C₇	semidirect
525. #482	C₂²×C₇	semidirect
526. #482	C₂²×C₇	semidirect
527. #481	C₂²×C₇	semidirect
528. #481	C₂²×C₇	semidirect
529. #480	C₂²×C₇	semidirect
530. #480	C₂²×C₇	semidirect
531. #480	C₂²×C₇	semidirect
532. #479	C₂²×C₇	semidirect
533. #478	C₂²×C₇	semidirect
534. #478	C₂²×C₇	semidirect
535. #478	C₂²×C₇	semidirect
536. #476	C₂²×C₇	semidirect
537. #476	C₂²×C₇	semidirect
538. #475	C₂²×C₇	semidirect
539. #474	C₂²×C₇	semidirect
541. #469	C₂²×C₇	semidirect
543. #468	C₂²×C₇	semidirect
545. #466	C₂²×C₇	semidirect
547. #465	C₂²×C₇	semidirect
548. #442	C₂²×C₇	semidirect
549. #440	C₂²×C₇	semidirect
550. C₄×SD₁₆	C₂²×C₇	semidirect
551. C₄×D₈	C₂²×C₇	semidirect
552. #436	C₂²×C₇	semidirect
553. #435	C₂²×C₇	semidirect
554. #435	C₂²×C₇	semidirect
555. C₈×D₄	C₂²×C₇	semidirect
561. #428	C₂²×C₇	semidirect
562. #428	C₂²×C₇	semidirect
563. #428	C₂²×C₇	semidirect
564. #428	C₂²×C₇	semidirect
567. #427	C₂²×C₇	semidirect
568. #427	C₂²×C₇	semidirect
569. #427	C₂²×C₇	semidirect
572. C₂×#106	C₂²×C₇	semidirect
935. M₁₆	C₇×#41	semidirect
1102. C₇	#61274	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×#3494	2
C₇×#3493	2
C₇×#3355	2
C₇×#3353	2
C₇×#3350	2
C₇×#3348	2
C₇×#3347	2
C₇×#3345	2
C₇×#3341	2
C₇×#3337	2
C₇×#3164	2
C₇×#3098	2
C₇×#3096	2
C₇×#3091	2
C₂×C₇×#482	2
C₇×#3084	2
C₇×#3081	2
C₇×#3062	2
C₇×#3055	2
C₇×#2946	2
C₇×#2933	2
C₇×#2912	2
C₇×#2911	2
#61274	7

Subgroups — C7×#61274 #13238490

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61274 #13238490