Subgroups — C₇×#61270 #13238486

Order 1792.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1160 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×#3492	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3357	C₂	1	2	yes	maximal, complemented
4	C₇×#3355	C₂	1	2	yes	maximal, complemented
5	C₇×#3347	C₂	1	2	yes	maximal, complemented
6	C₇×#3346	C₂	1	2	yes	maximal, complemented
7	C₇×#3345	C₂	1	2	yes	maximal, complemented
8	C₇×#3343	C₂	1	2	yes	maximal, complemented
9	C₇×#3337	C₂	1	2	yes	maximal, complemented
10	C₇×#3334	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×#480	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3083	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×#2913	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₇×#428	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×#555	C₂²	1	2	yes	—
28	C₇×#554	—	2	1	no	—
29	C₇×#554	C₂²	1	2	yes	complemented
30	C₇×#553	—	2	1	no	—
31	C₇×#553	C₂²	1	2	yes	—
32	C₇×#553	C₂²	1	2	yes	—
33	C₇×#553	C₂²	1	2	yes	complemented
34	C₇×#552	—	2	1	no	—
35	C₇×#552	C₂²	1	2	yes	complemented
36	C₇×#551	—	2	2	no	—
37	C₇×#547	—	2	1	no	—
38	C₇×#547	C₂²	1	2	yes	—
39	C₇×#547	C₂²	1	2	yes	complemented
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×#539	—	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	1	no	—
50	C₇×#525	—	2	2	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	C₂²×C₇×C₄⋊C₄	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	2	yes	complemented
65	C₇×#485	C₂²	1	1	yes	characteristic, complemented
66	C₇×#485	C₂²	1	1	yes	characteristic, complemented
67	C₇×#484	C₂²	1	1	yes	characteristic, complemented
68	C₇×#484	C₂²	1	2	yes	complemented
69	C₇×#483	C₂²	1	1	yes	characteristic, complemented
70	C₇×#482	C₂²	1	2	yes	complemented
71	C₇×#482	C₂²	1	2	yes	complemented
72	C₇×#482	C₂²	1	2	yes	complemented
73	C₇×#482	C₂²	1	1	yes	characteristic, complemented
74	C₇×#482	C₂²	1	1	yes	characteristic, complemented
75	C₇×#481	C₂²	1	1	yes	characteristic, complemented
76	C₇×#481	C₂²	1	2	yes	complemented
77	C₇×#480	C₂²	1	2	yes	—
78	C₇×#480	C₂²	1	2	yes	—
79	C₇×#480	C₂²	1	2	yes	—
80	C₇×#480	C₂²	1	2	yes	—
81	C₇×#480	C₂²	1	1	yes	characteristic, complemented
82	C₇×#480	C₂²	1	2	yes	complemented
83	C₇×#480	C₂²	1	2	yes	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×#477	C₂²	1	2	yes	complemented
89	C₇×#476	C₂²	1	2	yes	complemented
90	C₇×#474	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	C₂×C₇×#107	C₂²	1	1	yes	characteristic
121	C₂×C₇×#107	C₂²	1	1	yes	characteristic
122	C₂×C₇×#107	C₂²	1	2	yes	complemented
123	C₂×C₇×#107	C₂²	1	2	yes	complemented
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	#61270	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	2	2	no	—
137	C₂×C₇×#41	—	2	2	no	—
138	C₂×C₇×#41	C₂³	1	1	yes	characteristic
139	C₂×C₇×#41	C₂³	1	1	yes	characteristic
140	C₂²×C₇×D₄	—	2	1	no	—
141	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₇	—	2	1	no	—
143	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
144	C₇×AGL(1,ℤ/8)	—	2	4	no	—
145	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
146	C₂×C₇×D₈	C₂³	1	2	yes	—
147	C₇×#131	—	2	4	no	—
148	C₂×C₇×M₁₆	—	2	4	no	—
149	C₂×C₇×M₁₆	C₂³	1	2	yes	—
150	C₂×C₇×M₁₆	C₂³	1	2	yes	—
151	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
153	C₂²×C₇×C₈	C₂³	1	2	yes	—
154	C₂²×C₇×C₈	C₂³	1	2	yes	—
155	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
156	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
157	C₇×C₄⋊Q₈	—	2	1	no	—
158	C₇×C₄⋊Q₈	—	2	1	no	—
159	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₇×#127	—	2	1	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	2	no	—
169	C₇×#125	—	2	1	no	—
170	C₇×#125	C₂³	1	2	yes	—
171	C₇×#125	C₂³	1	2	yes	—
172	C₇×#124	—	2	1	no	—
173	C₇×#124	—	2	2	no	—
174	C₇×#124	—	2	2	no	—
175	C₇×#123	—	2	2	no	—
176	C₇×#123	—	2	1	no	—
177	C₇×#123	—	2	2	no	—
178	C₇×#123	—	2	2	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	—	2	2	no	—
190	C₇×C₂²⋊Q₈	—	2	2	no	—
191	C₇×C₂²⋊Q₈	—	2	2	no	—
192	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
193	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
194	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
195	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
197	C₇×#121	—	2	2	no	—
198	C₇×#121	—	2	2	no	—
199	C₇×#121	—	2	2	no	—
200	C₇×#121	—	2	1	no	—
201	C₇×#121	—	2	2	no	—
202	C₇×#121	—	2	2	no	—
203	C₇×#121	—	2	1	no	—
204	C₇×#121	—	2	1	no	—
205	C₇×#121	D₄	1	1	yes	characteristic
206	C₇×#121	D₄	1	1	yes	characteristic
207	C₇×#121	C₂³	1	1	yes	characteristic
208	C₇×#121	C₂³	1	2	yes	—
209	C₇×#121	C₂³	1	2	yes	—
210	C₇×#121	C₂³	1	2	yes	—
211	C₇×#121	C₂³	1	2	yes	—
212	C₇×#121	C₂³	1	1	yes	characteristic
213	C₇×#121	C₂³	1	2	yes	—
214	C₇×#120	—	2	1	no	—
215	C₇×#120	—	2	2	no	—
216	C₇×#120	D₄	1	2	yes	—
217	C₄×C₇×Q₈	—	2	1	no	—
218	C₄×C₇×Q₈	—	2	1	no	—
219	C₄×C₇×Q₈	C₂³	1	2	yes	—
220	C₄×C₇×D₄	—	2	2	no	—
221	C₄×C₇×D₄	—	2	1	no	—
222	C₄×C₇×D₄	—	2	2	no	—
223	C₄×C₇×D₄	—	2	1	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	—	2	1	no	—
228	C₄×C₇×D₄	—	2	1	no	—
229	C₄×C₇×D₄	—	2	2	no	—
230	C₄×C₇×D₄	—	2	2	no	—
231	C₄×C₇×D₄	—	2	2	no	—
232	C₄×C₇×D₄	—	2	2	no	—
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	2	yes	—
237	C₄×C₇×D₄	C₂³	1	2	yes	—
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	C₂³	1	2	yes	—
244	C₇×#117	C₂³	1	1	yes	characteristic
245	C₇×#117	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
250	C₇×#117	C₂³	1	1	yes	characteristic
251	C₂×C₇×C₄⋊C₄	—	2	1	no	—
252	C₂×C₇×C₄⋊C₄	—	2	1	no	—
253	C₂×C₇×C₄⋊C₄	—	2	1	no	—
254	C₂×C₇×C₄⋊C₄	—	2	1	no	—
255	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
256	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
260	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₇×C₂²⋊C₄	—	2	2	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	2	yes	—
273	C₇×#107	C₂³	1	2	yes	—
274	C₇×#107	C₂³	1	2	yes	—
275	C₇×#107	C₂³	1	1	yes	characteristic
276	C₇×#107	C₂³	1	2	yes	—
277	C₇×#107	C₂³	1	2	yes	—
278	C₇×#107	C₂³	1	1	yes	characteristic
279	C₇×#107	C₂³	1	1	yes	characteristic
280	C₇×#107	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	1	yes	characteristic
286	C₇×#106	C₂³	1	2	yes	—
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	2	yes	—
305	C₇×#102	C₂³	1	2	yes	—
306	C₇×#102	C₂³	1	1	yes	characteristic
307	C₇×#102	C₂³	1	1	yes	characteristic
308	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
312	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
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	#3492	C₂×C₇	1	1	yes	characteristic, complemented
318	#3357	C₂×C₇	1	2	yes	complemented
319	#3355	C₂×C₇	1	2	yes	complemented
320	#3347	C₂×C₇	1	2	yes	complemented
321	#3346	C₂×C₇	1	2	yes	complemented
322	#3345	C₂×C₇	1	2	yes	complemented
323	#3343	C₂×C₇	1	2	yes	complemented
324	#3337	C₂×C₇	1	2	yes	complemented
325	#3334	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×#480	C₂×C₇	1	1	yes	characteristic, complemented
331	#3083	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	#2913	C₂×C₇	1	1	yes	characteristic, complemented
338	C₂×#428	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	C₇×#41	—	8	4	no	—
347	C₂×C₇×Q₈	—	2	2	no	—
348	C₂×C₇×Q₈	—	2	2	no	—
349	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
350	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
351	C₂×C₇×D₄	—	2	1	no	—
352	C₂×C₇×D₄	—	2	1	no	—
353	C₂×C₇×D₄	—	2	1	no	—
354	C₂×C₇×D₄	—	2	2	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	2	no	—
359	C₂×C₇×D₄	—	2	1	no	—
360	C₂×C₇×D₄	—	2	2	no	—
361	C₂×C₇×D₄	—	2	2	no	—
362	C₂×C₇×D₄	—	8	2	no	—
363	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
364	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
365	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
366	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
367	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
368	C₂×C₇×D₄	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₇	—	2	2	no	—
370	C₂²×C₄×C₇	—	2	2	no	—
371	C₂²×C₄×C₇	—	2	1	no	—
372	C₂²×C₄×C₇	—	2	2	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	2	no	—
379	C₂²×C₄×C₇	—	2	2	no	—
380	C₂²×C₄×C₇	—	2	1	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	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
390	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
392	C₇×SD₁₆	—	2	4	no	—
393	C₇×D₈	—	2	4	no	—
394	C₇×M₁₆	—	2	2	no	—
395	C₇×M₁₆	—	2	4	no	—
396	C₇×M₁₆	—	2	4	no	—
397	C₇×M₁₆	#41	1	4	yes	complemented
398	C₂×C₇×C₈	—	2	2	no	—
399	C₂×C₇×C₈	—	2	2	no	—
400	C₂×C₇×C₈	—	2	4	no	—
401	C₂×C₇×C₈	—	2	4	no	—
402	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	2	yes	—
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	2	no	—
413	C₇×C₄⋊C₄	—	2	1	no	—
414	C₇×C₄⋊C₄	—	2	1	no	—
415	C₇×C₄⋊C₄	—	2	1	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	2	no	—
425	C₇×C₄⋊C₄	—	2	2	no	—
426	C₇×C₄⋊C₄	—	2	1	no	—
427	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
428	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
429	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
430	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
431	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
432	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
433	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
434	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
435	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
436	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
437	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
438	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
439	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
440	C₇×C₂²⋊C₄	—	2	1	no	—
441	C₇×C₂²⋊C₄	—	2	1	no	—
442	C₇×C₂²⋊C₄	—	2	1	no	—
443	C₇×C₂²⋊C₄	—	2	1	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	1	no	—
449	C₇×C₂²⋊C₄	—	2	2	no	—
450	C₇×C₂²⋊C₄	—	2	2	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	2	no	—
456	C₇×C₂²⋊C₄	—	2	2	no	—
457	C₇×C₂²⋊C₄	—	2	2	no	—
458	C₇×C₂²⋊C₄	—	2	1	no	—
459	C₇×C₂²⋊C₄	—	2	1	no	—
460	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
461	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
462	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
463	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
464	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
465	C₄²×C₇	—	2	1	no	—
466	C₄²×C₇	—	2	1	no	—
467	C₄²×C₇	—	2	1	no	—
468	C₄²×C₇	—	2	1	no	—
469	C₄²×C₇	—	2	2	no	—
470	C₄²×C₇	—	2	2	no	—
471	C₄²×C₇	—	2	2	no	—
472	C₄²×C₇	—	2	1	no	—
473	C₄²×C₇	C₂⁴	1	2	yes	—
474	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
475	C₂×#131	C₂²×C₇	1	1	yes	characteristic
476	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic
477	#555	C₂²×C₇	1	2	yes	—
478	#554	—	2	1	no	—
479	#554	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	—	2	1	no	—
488	#547	C₂²×C₇	1	2	yes	—
489	#547	C₂²×C₇	1	2	yes	complemented
490	#546	—	2	2	no	—
491	#544	C₂²×C₇	1	1	yes	characteristic
492	#544	C₂²×C₇	1	1	yes	characteristic
493	#542	—	2	1	no	—
494	#540	—	2	1	no	—
495	#539	—	2	2	no	—
496	#537	C₂²×C₇	1	1	yes	characteristic
497	#535	C₂²×C₇	1	1	yes	characteristic
498	#532	—	2	1	no	—
499	#529	—	2	1	no	—
500	#525	—	2	2	no	—
501	#525	C₂²×C₇	1	1	yes	characteristic
502	#525	C₂²×C₇	1	1	yes	characteristic
503	C₂×#121	C₂²×C₇	1	1	yes	characteristic
504	#520	C₂²×C₇	1	1	yes	characteristic
505	#520	C₂²×C₇	1	1	yes	characteristic
506	#520	C₂²×C₇	1	1	yes	characteristic
507	#518	C₂²×C₇	1	1	yes	characteristic
508	C₂×#117	C₂²×C₇	1	1	yes	characteristic
509	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
510	#501	C₂²×C₇	1	2	yes	complemented
511	#501	C₂²×C₇	1	2	yes	complemented
512	#500	C₂²×C₇	1	2	yes	complemented
513	#499	C₂²×C₇	1	2	yes	complemented
514	#485	C₂²×C₇	1	2	yes	complemented
515	#485	C₂²×C₇	1	1	yes	characteristic, complemented
516	#485	C₂²×C₇	1	1	yes	characteristic, complemented
517	#484	C₂²×C₇	1	1	yes	characteristic, complemented
518	#484	C₂²×C₇	1	2	yes	complemented
519	#483	C₂²×C₇	1	1	yes	characteristic, complemented
520	#482	C₂²×C₇	1	2	yes	complemented
521	#482	C₂²×C₇	1	2	yes	complemented
522	#482	C₂²×C₇	1	2	yes	complemented
523	#482	C₂²×C₇	1	1	yes	characteristic, complemented
524	#482	C₂²×C₇	1	1	yes	characteristic, complemented
525	#481	C₂²×C₇	1	1	yes	characteristic, complemented
526	#481	C₂²×C₇	1	2	yes	complemented
527	#480	C₂²×C₇	1	2	yes	—
528	#480	C₂²×C₇	1	2	yes	—
529	#480	C₂²×C₇	1	2	yes	—
530	#480	C₂²×C₇	1	2	yes	—
531	#480	C₂²×C₇	1	1	yes	characteristic, complemented
532	#480	C₂²×C₇	1	2	yes	complemented
533	#480	C₂²×C₇	1	2	yes	complemented
534	#479	C₂²×C₇	1	2	yes	complemented
535	#478	C₂²×C₇	1	2	yes	complemented
536	#478	C₂²×C₇	1	2	yes	complemented
537	#478	C₂²×C₇	1	2	yes	complemented
538	#477	C₂²×C₇	1	2	yes	complemented
539	#476	C₂²×C₇	1	2	yes	complemented
540	#474	C₂²×C₇	1	2	yes	complemented
541	#474	C₂²×C₇	1	2	yes	complemented
542	#469	C₂²×C₇	1	2	yes	—
543	#469	C₂²×C₇	1	2	yes	complemented
544	#468	C₂²×C₇	1	2	yes	—
545	#468	C₂²×C₇	1	2	yes	complemented
546	#466	C₂²×C₇	1	2	yes	—
547	#466	C₂²×C₇	1	2	yes	complemented
548	#465	C₂²×C₇	1	2	yes	—
549	#465	C₂²×C₇	1	2	yes	complemented
550	#442	C₂²×C₇	1	2	yes	complemented
551	#440	C₂²×C₇	1	2	yes	complemented
552	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
553	C₄×D₈	C₂²×C₇	1	2	yes	complemented
554	#436	C₂²×C₇	1	2	yes	complemented
555	#435	C₂²×C₇	1	2	yes	complemented
556	#435	C₂²×C₇	1	2	yes	complemented
557	C₈×D₄	C₂²×C₇	1	2	yes	complemented
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	1	yes	characteristic
562	#428	C₂²×C₇	1	1	yes	characteristic
563	#428	C₂²×C₇	1	2	yes	complemented
564	#428	C₂²×C₇	1	2	yes	complemented
565	#428	C₂²×C₇	1	2	yes	complemented
566	#428	C₂²×C₇	1	2	yes	complemented
567	#427	C₂²×C₇	1	1	yes	characteristic
568	#427	C₂²×C₇	1	1	yes	characteristic
569	#427	C₂²×C₇	1	2	yes	complemented
570	C₂×#107	C₂²×C₇	1	1	yes	characteristic
571	C₂×#107	C₂²×C₇	1	1	yes	characteristic
572	C₂×#107	C₂²×C₇	1	2	yes	complemented
573	C₂×#107	C₂²×C₇	1	2	yes	complemented
574	C₂×#106	C₂²×C₇	1	2	yes	complemented
575	#424	C₂²×C₇	1	1	yes	characteristic
576	#418	C₂²×C₇	1	1	yes	characteristic
577	#417	C₂²×C₇	1	1	yes	characteristic
578	#416	C₂²×C₇	1	1	yes	characteristic
579	#416	C₂²×C₇	1	1	yes	characteristic
580	C₂×#102	C₂²×C₇	1	1	yes	characteristic
581	C₂×#102	C₂²×C₇	1	1	yes	characteristic
582	#408	C₂²×C₇	1	1	yes	characteristic
583	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
584	#405	C₂²×C₇	1	1	yes	characteristic
585	C₂³×C₇	—	2	2	no	—
586	C₂³×C₇	—	2	2	no	—
587	C₂³×C₇	—	2	1	no	—
588	C₂³×C₇	—	2	2	no	—
589	C₂³×C₇	—	4	1	no	—
590	C₂³×C₇	—	4	2	no	—
591	C₂³×C₇	—	8	1	no	—
592	C₂³×C₇	—	8	1	no	—
593	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
594	C₂³×C₇	C₂²×D₄	1	2	yes	—
595	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
596	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
597	C₇×Q₈	—	2	2	no	—
598	C₇×Q₈	—	2	1	no	—
599	C₇×Q₈	—	2	1	no	—
600	C₇×Q₈	—	8	2	no	—
601	C₇×Q₈	—	8	2	no	—
602	C₇×D₄	—	2	4	no	—
603	C₇×D₄	—	2	4	no	—
604	C₇×D₄	—	2	2	no	—
605	C₇×D₄	—	2	1	no	—
606	C₇×D₄	—	2	2	no	—
607	C₇×D₄	—	2	2	no	—
608	C₇×D₄	—	2	1	no	—
609	C₇×D₄	—	4	2	no	—
610	C₇×D₄	—	4	2	no	—
611	C₇×D₄	—	4	2	no	—
612	C₇×D₄	—	4	4	no	—
613	C₇×D₄	—	4	2	no	—
614	C₇×D₄	—	4	2	no	—
615	C₇×D₄	—	8	2	no	—
616	C₇×D₄	—	8	2	no	—
617	C₇×D₄	—	8	2	no	—
618	C₇×D₄	—	8	2	no	—
619	C₂×C₄×C₇	—	2	2	no	—
620	C₂×C₄×C₇	—	2	2	no	—
621	C₂×C₄×C₇	—	2	2	no	—
622	C₂×C₄×C₇	—	2	1	no	—
623	C₂×C₄×C₇	—	2	2	no	—
624	C₂×C₄×C₇	—	2	1	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	1	no	—
631	C₂×C₄×C₇	—	2	1	no	—
632	C₂×C₄×C₇	—	2	1	no	—
633	C₂×C₄×C₇	—	2	1	no	—
634	C₂×C₄×C₇	—	2	2	no	—
635	C₂×C₄×C₇	—	2	2	no	—
636	C₂×C₄×C₇	—	2	1	no	—
637	C₂×C₄×C₇	—	2	2	no	—
638	C₂×C₄×C₇	—	4	4	no	—
639	C₂×C₄×C₇	—	4	2	no	—
640	C₂×C₄×C₇	—	4	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	2	no	—
647	C₂×C₄×C₇	—	8	1	no	—
648	C₂×C₄×C₇	—	8	1	no	—
649	C₂×C₄×C₇	—	8	2	no	—
650	C₂×C₄×C₇	—	8	2	no	—
651	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
652	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
653	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
654	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
655	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
656	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
657	C₂×C₄×C₇	C₂×#41	1	2	yes	—
658	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
659	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
660	C₇×C₈	—	2	1	no	—
661	C₇×C₈	—	2	1	no	—
662	C₇×C₈	—	2	2	no	—
663	C₇×C₈	—	2	1	no	—
664	C₇×C₈	—	2	1	no	—
665	C₇×C₈	C₂×#41	1	4	yes	—
666	C₂×#41	—	2	2	no	—
667	C₂×#41	—	2	2	no	—
668	C₂×#41	C₂³×C₇	1	1	yes	characteristic
669	C₂×#41	C₂³×C₇	1	1	yes	characteristic
670	C₂²×D₄	—	2	1	no	—
671	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
672	C₂³×C₄	—	2	1	no	—
673	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
674	AGL(1,ℤ/8)	—	2	4	no	—
675	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
676	C₂×D₈	C₂³×C₇	1	2	yes	—
677	#131	—	2	4	no	—
678	C₂×M₁₆	—	2	4	no	—
679	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
680	C₂×M₁₆	C₂³×C₇	1	2	yes	—
681	C₂×M₁₆	C₂³×C₇	1	2	yes	—
682	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
683	C₂²×C₈	C₂³×C₇	1	2	yes	—
684	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
685	C₂²×C₈	C₂³×C₇	1	2	yes	—
686	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
687	C₄⋊Q₈	—	2	1	no	—
688	C₄⋊Q₈	—	2	1	no	—
689	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
690	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
691	#127	—	2	1	no	—
692	#126	—	2	2	no	—
693	#126	—	2	2	no	—
694	#126	—	2	2	no	—
695	#126	—	2	2	no	—
696	#125	—	2	1	no	—
697	#125	—	2	2	no	—
698	#125	—	2	2	no	—
699	#125	—	2	1	no	—
700	#125	C₂³×C₇	1	2	yes	—
701	#125	C₂³×C₇	1	2	yes	—
702	#124	—	2	1	no	—
703	#124	—	2	2	no	—
704	#124	—	2	2	no	—
705	#123	—	2	2	no	—
706	#123	—	2	1	no	—
707	#123	—	2	2	no	—
708	#123	—	2	2	no	—
709	#123	—	2	2	no	—
710	#123	—	2	2	no	—
711	#123	—	2	2	no	—
712	#123	—	2	2	no	—
713	#123	—	2	2	no	—
714	#123	C₇×D₄	1	2	yes	—
715	C₂²⋊Q₈	—	2	1	no	—
716	C₂²⋊Q₈	—	2	2	no	—
717	C₂²⋊Q₈	—	2	2	no	—
718	C₂²⋊Q₈	—	2	2	no	—
719	C₂²⋊Q₈	—	2	2	no	—
720	C₂²⋊Q₈	—	2	2	no	—
721	C₂²⋊Q₈	—	2	2	no	—
722	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
723	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
724	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
725	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
726	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
727	#121	—	2	2	no	—
728	#121	—	2	2	no	—
729	#121	—	2	2	no	—
730	#121	—	2	1	no	—
731	#121	—	2	2	no	—
732	#121	—	2	2	no	—
733	#121	—	2	1	no	—
734	#121	—	2	1	no	—
735	#121	C₇×D₄	1	1	yes	characteristic
736	#121	C₇×D₄	1	1	yes	characteristic
737	#121	C₂³×C₇	1	2	yes	—
738	#121	C₂³×C₇	1	2	yes	—
739	#121	C₂³×C₇	1	1	yes	characteristic
740	#121	C₂³×C₇	1	1	yes	characteristic
741	#121	C₂³×C₇	1	2	yes	—
742	#121	C₂³×C₇	1	2	yes	—
743	#121	C₂³×C₇	1	2	yes	—
744	#120	—	2	1	no	—
745	#120	—	2	2	no	—
746	#120	C₇×D₄	1	2	yes	—
747	C₄×Q₈	—	2	1	no	—
748	C₄×Q₈	—	2	1	no	—
749	C₄×Q₈	C₂³×C₇	1	2	yes	—
750	C₄×D₄	—	2	2	no	—
751	C₄×D₄	—	2	1	no	—
752	C₄×D₄	—	2	2	no	—
753	C₄×D₄	—	2	1	no	—
754	C₄×D₄	—	2	2	no	—
755	C₄×D₄	—	2	1	no	—
756	C₄×D₄	—	2	1	no	—
757	C₄×D₄	—	2	1	no	—
758	C₄×D₄	—	2	1	no	—
759	C₄×D₄	—	2	2	no	—
760	C₄×D₄	—	2	2	no	—
761	C₄×D₄	—	2	2	no	—
762	C₄×D₄	—	2	2	no	—
763	C₄×D₄	C₂³×C₇	1	2	yes	—
764	C₄×D₄	C₂³×C₇	1	2	yes	—
765	C₄×D₄	C₂³×C₇	1	2	yes	—
766	C₄×D₄	C₂³×C₇	1	2	yes	—
767	C₄×D₄	C₂³×C₇	1	2	yes	—
768	#117	—	2	1	no	—
769	#117	—	2	1	no	—
770	#117	—	2	1	no	—
771	#117	—	2	2	no	—
772	#117	—	2	2	no	—
773	#117	C₂³×C₇	1	1	yes	characteristic
774	#117	C₂³×C₇	1	1	yes	characteristic
775	#117	C₂³×C₇	1	1	yes	characteristic
776	#117	C₂³×C₇	1	1	yes	characteristic
777	#117	C₂³×C₇	1	1	yes	characteristic
778	#117	C₂³×C₇	1	2	yes	—
779	#117	C₂³×C₇	1	2	yes	—
780	#117	C₂³×C₇	1	1	yes	characteristic
781	C₂×C₄⋊C₄	—	2	1	no	—
782	C₂×C₄⋊C₄	—	2	1	no	—
783	C₂×C₄⋊C₄	—	2	1	no	—
784	C₂×C₄⋊C₄	—	2	1	no	—
785	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
786	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
787	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
788	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
789	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
790	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
791	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
792	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
793	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
794	C₂×C₂²⋊C₄	—	2	1	no	—
795	C₂×C₂²⋊C₄	—	2	1	no	—
796	C₂×C₂²⋊C₄	—	2	2	no	—
797	C₂×C₄²	—	2	1	no	—
798	#107	C₂³×C₇	1	2	yes	—
799	#107	C₂³×C₇	1	2	yes	—
800	#107	C₂³×C₇	1	2	yes	—
801	#107	C₂³×C₇	1	2	yes	—
802	#107	C₂³×C₇	1	1	yes	characteristic
803	#107	C₂³×C₇	1	2	yes	—
804	#107	C₂³×C₇	1	2	yes	—
805	#107	C₂³×C₇	1	2	yes	—
806	#107	C₂³×C₇	1	2	yes	—
807	#107	C₂³×C₇	1	2	yes	—
808	#107	C₂³×C₇	1	1	yes	characteristic
809	#107	C₂³×C₇	1	1	yes	characteristic
810	#107	C₂³×C₇	1	1	yes	characteristic
811	#106	C₂³×C₇	1	2	yes	—
812	#106	C₂³×C₇	1	2	yes	—
813	#106	C₂³×C₇	1	2	yes	—
814	#106	C₂³×C₇	1	2	yes	—
815	#106	C₂³×C₇	1	1	yes	characteristic
816	#106	C₂³×C₇	1	1	yes	characteristic
817	#106	C₂³×C₇	1	1	yes	characteristic
818	#106	C₂³×C₇	1	1	yes	characteristic
819	#106	C₂³×C₇	1	2	yes	—
820	C₄⋊C₈	C₂³×C₇	1	2	yes	—
821	C₄⋊C₈	C₂³×C₇	1	2	yes	—
822	#103	C₂³×C₇	1	1	yes	characteristic
823	#103	C₂³×C₇	1	1	yes	characteristic
824	#103	C₂³×C₇	1	1	yes	characteristic
825	#103	C₂³×C₇	1	1	yes	characteristic
826	#103	C₂³×C₇	1	2	yes	—
827	#102	C₂³×C₇	1	2	yes	—
828	#102	C₂³×C₇	1	2	yes	—
829	#102	C₂³×C₇	1	2	yes	—
830	#102	C₂³×C₇	1	2	yes	—
831	#102	C₂³×C₇	1	1	yes	characteristic
832	#102	C₂³×C₇	1	1	yes	characteristic
833	#102	C₂³×C₇	1	1	yes	characteristic
834	#102	C₂³×C₇	1	1	yes	characteristic
835	#102	C₂³×C₇	1	2	yes	—
836	#102	C₂³×C₇	1	2	yes	—
837	#102	C₂³×C₇	1	2	yes	—
838	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
839	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
840	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
841	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
842	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
843	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
844	#97	C₂³×C₇	1	2	yes	—
845	C₄×C₈	C₂³×C₇	1	2	yes	—
846	C₂²×C₇	—	2	1	no	—
847	C₂²×C₇	—	2	1	no	—
848	C₂²×C₇	—	2	1	no	—
849	C₂²×C₇	—	2	1	no	—
850	C₂²×C₇	—	2	1	no	—
851	C₂²×C₇	—	2	2	no	—
852	C₂²×C₇	—	2	1	no	—
853	C₂²×C₇	—	2	2	no	—
854	C₂²×C₇	—	2	2	no	—
855	C₂²×C₇	—	2	1	no	—
856	C₂²×C₇	—	4	4	no	—
857	C₂²×C₇	—	4	2	no	—
858	C₂²×C₇	—	4	1	no	—
859	C₂²×C₇	—	4	1	no	—
860	C₂²×C₇	—	4	2	no	—
861	C₂²×C₇	—	4	1	no	—
862	C₂²×C₇	—	4	2	no	—
863	C₂²×C₇	—	16	2	no	—
864	C₂²×C₇	#547	1	2	yes	—
865	C₂²×C₇	#576	1	2	yes	—
866	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
867	C₄×C₇	—	2	2	no	—
868	C₄×C₇	—	2	1	no	—
869	C₄×C₇	—	2	1	no	—
870	C₄×C₇	—	2	2	no	—
871	C₄×C₇	—	2	2	no	—
872	C₄×C₇	—	4	1	no	—
873	C₄×C₇	—	4	1	no	—
874	C₄×C₇	—	4	1	no	—
875	C₄×C₇	—	4	1	no	—
876	C₄×C₇	—	4	1	no	—
877	C₄×C₇	—	4	2	no	—
878	C₄×C₇	—	4	2	no	—
879	C₄×C₇	—	4	1	no	—
880	C₄×C₇	—	4	2	no	—
881	C₄×C₇	—	4	1	no	—
882	C₄×C₇	#547	1	2	yes	—
883	C₄×C₇	C₂²×#41	1	1	yes	characteristic
884	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
885	C₂⁴	—	2	1	no	—
886	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
887	#41	—	2	2	no	—
888	#41	—	2	2	no	—
889	#41	—	2	2	no	—
890	#41	—	2	2	no	—
891	#41	—	8	4	no	—
892	#41	—	8	4	no	—
893	C₂×Q₈	—	2	2	no	—
894	C₂×Q₈	—	2	2	no	—
895	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
896	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
897	C₂×D₄	—	2	1	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	8	2	no	—
909	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
910	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
911	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
912	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
913	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
914	C₂×D₄	C₂⁴×C₇	1	2	yes	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	2	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	1	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	8	2	no	—
931	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
932	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
933	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
934	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
936	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
937	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
938	SD₁₆	—	2	4	no	—
939	D₈	—	2	4	no	—
940	M₁₆	—	2	2	no	—
941	M₁₆	—	2	4	no	—
942	M₁₆	—	2	4	no	—
943	M₁₆	C₇×#41	1	4	yes	complemented
944	C₂×C₈	—	2	2	no	—
945	C₂×C₈	—	2	2	no	—
946	C₂×C₈	—	2	4	no	—
947	C₂×C₈	—	2	4	no	—
948	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
949	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
950	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
951	C₂×C₈	C₂⁴×C₇	1	2	yes	—
952	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
953	C₂×C₈	C₂⁴×C₇	1	2	yes	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
974	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
975	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
976	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
977	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
978	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
979	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
980	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
981	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
982	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
983	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
984	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
985	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	1	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1007	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1008	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1009	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1010	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	1	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	—	2	1	no	—
1019	C₄²	C₂⁴×C₇	1	2	yes	—
1020	C₂×C₇	—	2	2	no	—
1021	C₂×C₇	—	2	2	no	—
1022	C₂×C₇	—	4	2	no	—
1023	C₂×C₇	—	4	1	no	—
1024	C₂×C₇	—	8	1	no	—
1025	C₂×C₇	—	8	2	no	—
1026	C₂×C₇	C₂×#547	1	1	yes	characteristic
1027	C₂×C₇	C₂×#576	1	1	yes	characteristic
1028	C₂×C₇	#3586	1	1	yes	characteristic
1029	C₂³	—	2	2	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	2	1	no	—
1032	C₂³	—	2	2	no	—
1033	C₂³	—	4	1	no	—
1034	C₂³	—	4	2	no	—
1035	C₂³	—	8	1	no	—
1036	C₂³	—	8	1	no	—
1037	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1038	C₂³	C₂²×C₇×D₄	1	2	yes	—
1039	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1040	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1041	Q₈	—	2	2	no	—
1042	Q₈	—	2	1	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	8	2	no	—
1045	Q₈	—	8	2	no	—
1046	D₄	—	2	4	no	—
1047	D₄	—	2	4	no	—
1048	D₄	—	2	1	no	—
1049	D₄	—	2	2	no	—
1050	D₄	—	2	2	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	2	2	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	4	2	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	4	4	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	4	2	no	—
1059	D₄	—	8	2	no	—
1060	D₄	—	8	2	no	—
1061	D₄	—	8	2	no	—
1062	D₄	—	8	2	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	1	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	—	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	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	4	4	no	—
1083	C₂×C₄	—	4	2	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	8	2	no	—
1086	C₂×C₄	—	8	2	no	—
1087	C₂×C₄	—	8	2	no	—
1088	C₂×C₄	—	8	1	no	—
1089	C₂×C₄	—	8	1	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	1	no	—
1092	C₂×C₄	—	8	1	no	—
1093	C₂×C₄	—	8	2	no	—
1094	C₂×C₄	—	8	2	no	—
1095	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1096	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1097	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1098	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1099	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1100	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1101	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1102	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1103	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1104	C₈	—	2	1	no	—
1105	C₈	—	2	1	no	—
1106	C₈	—	2	2	no	—
1107	C₈	—	2	1	no	—
1108	C₈	—	2	1	no	—
1109	C₈	C₂×C₇×#41	1	4	yes	—
1110	C₇	#61270	1	1	yes	characteristic, direct product factor, Sylow
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	1	no	—
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	1	no	—
1115	C₂²	—	2	2	no	—
1116	C₂²	—	2	1	no	—
1117	C₂²	—	2	1	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	2	1	no	—
1120	C₂²	—	2	2	no	—
1121	C₂²	—	4	4	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	2	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	16	2	no	—
1129	C₂²	C₇×#547	1	2	yes	—
1130	C₂²	C₇×#576	1	2	yes	—
1131	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1132	C₄	—	2	2	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	2	1	no	—
1136	C₄	—	2	2	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	2	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	2	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	1	no	—
1144	C₄	—	4	1	no	—
1145	C₄	—	4	1	no	—
1146	C₄	—	4	1	no	—
1147	C₄	C₇×#547	1	2	yes	—
1148	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1149	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1150	C₂	—	2	2	no	—
1151	C₂	—	2	2	no	—
1152	C₂	—	4	1	no	—
1153	C₂	—	4	2	no	—
1154	C₂	—	8	2	no	—
1155	C₂	—	8	1	no	—
1156	C₂	C₂×C₇×#547	1	1	yes	characteristic
1157	C₂	C₂×C₇×#576	1	1	yes	characteristic
1158	C₂	C₇×#3586	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×#3492	C₂	semidirect
3. C₇×#3357	C₂	semidirect
4. C₇×#3355	C₂	semidirect
5. C₇×#3347	C₂	semidirect
6. C₇×#3346	C₂	semidirect
7. C₇×#3345	C₂	semidirect
8. C₇×#3343	C₂	semidirect
9. C₇×#3337	C₂	semidirect
10. C₇×#3334	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×#480	C₂	semidirect
16. C₇×#3083	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×#2913	C₂	semidirect
23. C₂×C₇×#428	C₂	semidirect
29. C₇×#554	C₂²	semidirect
33. C₇×#553	C₂²	semidirect
35. C₇×#552	C₂²	semidirect
39. C₇×#547	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
70. C₇×#482	C₂²	semidirect
71. C₇×#482	C₂²	semidirect
72. C₇×#482	C₂²	semidirect
73. C₇×#482	C₂²	semidirect
74. C₇×#482	C₂²	semidirect
75. C₇×#481	C₂²	semidirect
76. 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×#477	C₂²	semidirect
89. C₇×#476	C₂²	semidirect
90. C₇×#474	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
122. C₂×C₇×#107	C₂²	semidirect
123. C₂×C₇×#107	C₂²	semidirect
124. C₂×C₇×#106	C₂²	semidirect
135. #61270	C₇	direct (N × H)
316. #3494	C₂×C₇	semidirect
317. #3492	C₂×C₇	semidirect
318. #3357	C₂×C₇	semidirect
319. #3355	C₂×C₇	semidirect
320. #3347	C₂×C₇	semidirect
321. #3346	C₂×C₇	semidirect
322. #3345	C₂×C₇	semidirect
323. #3343	C₂×C₇	semidirect
324. #3337	C₂×C₇	semidirect
325. #3334	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×#480	C₂×C₇	semidirect
331. #3083	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. #2913	C₂×C₇	semidirect
338. C₂×#428	C₂×C₇	semidirect
397. C₇×M₁₆	#41	semidirect
479. #554	C₂²×C₇	semidirect
483. #553	C₂²×C₇	semidirect
485. #552	C₂²×C₇	semidirect
489. #547	C₂²×C₇	semidirect
510. #501	C₂²×C₇	semidirect
511. #501	C₂²×C₇	semidirect
512. #500	C₂²×C₇	semidirect
513. #499	C₂²×C₇	semidirect
514. #485	C₂²×C₇	semidirect
515. #485	C₂²×C₇	semidirect
516. #485	C₂²×C₇	semidirect
517. #484	C₂²×C₇	semidirect
518. #484	C₂²×C₇	semidirect
519. #483	C₂²×C₇	semidirect
520. #482	C₂²×C₇	semidirect
521. #482	C₂²×C₇	semidirect
522. #482	C₂²×C₇	semidirect
523. #482	C₂²×C₇	semidirect
524. #482	C₂²×C₇	semidirect
525. #481	C₂²×C₇	semidirect
526. #481	C₂²×C₇	semidirect
531. #480	C₂²×C₇	semidirect
532. #480	C₂²×C₇	semidirect
533. #480	C₂²×C₇	semidirect
534. #479	C₂²×C₇	semidirect
535. #478	C₂²×C₇	semidirect
536. #478	C₂²×C₇	semidirect
537. #478	C₂²×C₇	semidirect
538. #477	C₂²×C₇	semidirect
539. #476	C₂²×C₇	semidirect
540. #474	C₂²×C₇	semidirect
541. #474	C₂²×C₇	semidirect
543. #469	C₂²×C₇	semidirect
545. #468	C₂²×C₇	semidirect
547. #466	C₂²×C₇	semidirect
549. #465	C₂²×C₇	semidirect
550. #442	C₂²×C₇	semidirect
551. #440	C₂²×C₇	semidirect
552. C₄×SD₁₆	C₂²×C₇	semidirect
553. C₄×D₈	C₂²×C₇	semidirect
554. #436	C₂²×C₇	semidirect
555. #435	C₂²×C₇	semidirect
556. #435	C₂²×C₇	semidirect
557. C₈×D₄	C₂²×C₇	semidirect
563. #428	C₂²×C₇	semidirect
564. #428	C₂²×C₇	semidirect
565. #428	C₂²×C₇	semidirect
566. #428	C₂²×C₇	semidirect
569. #427	C₂²×C₇	semidirect
572. C₂×#107	C₂²×C₇	semidirect
573. C₂×#107	C₂²×C₇	semidirect
574. C₂×#106	C₂²×C₇	semidirect
943. M₁₆	C₇×#41	semidirect
1110. C₇	#61270	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×#3492	2
C₇×#3357	2
C₇×#3355	2
C₇×#3347	2
C₇×#3346	2
C₇×#3345	2
C₇×#3343	2
C₇×#3337	2
C₇×#3334	2
C₇×#3164	2
C₇×#3098	2
C₇×#3096	2
C₇×#3091	2
C₂×C₇×#480	2
C₇×#3083	2
C₇×#3081	2
C₇×#3062	2
C₇×#3055	2
C₇×#2946	2
C₇×#2933	2
C₇×#2913	2
C₂×C₇×#428	2
#61270	7

Subgroups — C7×#61270 #13238486

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61270 #13238486