Subgroups — C₇×#61468 #13238684

Order 1792.

1908 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×#3481	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3396	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3356	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3355	C₂	1	2	yes	maximal, complemented
9	C₇×#3333	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3326	C₂	1	2	yes	maximal, complemented
11	C₇×#3324	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3322	C₂	1	2	yes	maximal, complemented
13	C₇×#3275	C₂	1	2	yes	maximal, complemented
14	C₇×#3274	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3184	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3183	C₂	1	2	yes	maximal, complemented
17	C₇×#3115	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3114	C₂	1	2	yes	maximal, complemented
19	C₇×#3112	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3111	C₂	1	2	yes	maximal, complemented
21	C₇×#2971	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₇×#137	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₇×AGL(1,ℤ/8)	C₂	1	2	yes	maximal, complemented
24	C₂×C₇×#137	C₂²	1	1	yes	characteristic
25	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	2	yes	—
26	C₇×#559	—	2	1	no	—
27	C₇×#559	C₂²	1	1	yes	characteristic
28	C₇×#559	C₂²	1	1	yes	characteristic, complemented
29	C₇×#557	C₂²	1	1	yes	characteristic, complemented
30	C₇×#556	—	2	1	no	—
31	C₇×#556	C₂²	1	1	yes	characteristic
32	C₇×#554	C₂²	1	1	yes	characteristic
33	C₇×#554	C₂²	1	1	yes	characteristic
34	C₇×#553	—	2	2	no	—
35	C₇×#553	—	2	1	no	—
36	C₇×#553	C₂²	1	2	yes	—
37	C₇×#553	C₂²	1	2	yes	complemented
38	C₇×#551	—	2	2	no	—
39	C₇×#550	C₂²	1	1	yes	characteristic
40	C₇×#548	C₂²	1	2	yes	complemented
41	C₇×#546	—	2	1	no	—
42	C₇×#546	C₂²	1	2	yes	—
43	C₇×D₄²	C₂²	1	1	yes	characteristic
44	C₇×#532	—	2	1	no	—
45	C₇×#532	C₂²	1	1	yes	characteristic
46	C₇×#532	C₂²	1	1	yes	characteristic, complemented
47	C₇×#529	—	2	1	no	—
48	C₇×#529	—	2	2	no	—
49	C₇×#529	C₂²	1	2	yes	—
50	C₇×#529	C₂²	1	2	yes	complemented
51	C₇×#525	—	2	2	no	—
52	C₄×C₇×#41	—	2	1	no	—
53	C₄×C₇×#41	C₂²	1	1	yes	characteristic
54	C₄×C₇×#41	C₂²	1	1	yes	characteristic
55	C₄×C₇×#41	C₂²	1	2	yes	complemented
56	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₄×C₇×D₄	—	2	1	no	—
58	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
59	C₇×#499	C₂²	1	2	yes	complemented
60	C₇×#498	C₂²	1	1	yes	characteristic, complemented
61	C₇×#495	C₂²	1	2	yes	complemented
62	C₇×#493	C₂²	1	1	yes	characteristic
63	C₇×#488	C₂²	1	2	yes	complemented
64	C₇×#488	C₂²	1	2	yes	complemented
65	C₇×#486	C₂²	1	1	yes	characteristic
66	C₇×#486	C₂²	1	1	yes	characteristic, complemented
67	C₇×#485	C₂²	1	2	yes	complemented
68	C₇×#483	C₂²	1	2	yes	complemented
69	C₇×#482	C₂²	1	2	yes	—
70	C₇×#482	C₂²	1	2	yes	complemented
71	C₇×#480	C₂²	1	2	yes	complemented
72	C₇×#480	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	complemented
76	C₇×#478	C₂²	1	2	yes	complemented
77	C₇×#477	C₂²	1	1	yes	characteristic, complemented
78	C₇×#477	C₂²	1	1	yes	characteristic, complemented
79	C₇×#475	C₂²	1	1	yes	characteristic, complemented
80	C₇×#474	C₂²	1	1	yes	characteristic
81	C₇×#470	C₂²	1	2	yes	complemented
82	C₇×#469	C₂²	1	2	yes	—
83	C₇×#469	C₂²	1	2	yes	complemented
84	C₇×#469	C₂²	1	2	yes	complemented
85	C₇×#468	C₂²	1	2	yes	—
86	C₇×#468	C₂²	1	2	yes	complemented
87	C₇×#464	C₂²	1	2	yes	complemented
88	C₇×#463	C₂²	1	2	yes	—
89	C₇×#463	C₂²	1	2	yes	complemented
90	C₇×#463	C₂²	1	2	yes	complemented
91	C₇×#460	C₂²	1	1	yes	characteristic
92	C₇×#460	C₂²	1	1	yes	characteristic
93	C₇×#460	C₂²	1	1	yes	characteristic, complemented
94	C₇×#459	C₂²	1	1	yes	characteristic
95	C₇×#452	C₂²	1	2	yes	complemented
96	C₇×#450	C₂²	1	2	yes	—
97	C₇×#449	C₂²	1	2	yes	—
98	C₇×#449	C₂²	1	2	yes	—
99	C₇×#448	C₂²	1	2	yes	complemented
100	C₇×#447	C₂²	1	2	yes	—
101	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
102	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
103	C₇×#442	C₂²	1	2	yes	—
104	C₇×#442	C₂²	1	2	yes	complemented
105	C₇×#442	C₂²	1	2	yes	complemented
106	C₇×#441	C₂²	1	1	yes	characteristic, complemented
107	C₇×#441	C₂²	1	1	yes	characteristic, complemented
108	C₇×#440	C₂²	1	1	yes	characteristic
109	C₇×#440	C₂²	1	1	yes	characteristic
110	C₇×#440	C₂²	1	2	yes	complemented
111	C₇×#440	C₂²	1	2	yes	complemented
112	C₇×#440	C₂²	1	2	yes	complemented
113	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
116	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
117	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
119	C₄×C₇×D₈	C₂²	1	2	yes	—
120	C₄×C₇×D₈	C₂²	1	2	yes	complemented
121	C₇×#436	C₂²	1	1	yes	characteristic
122	C₇×#436	C₂²	1	1	yes	characteristic
123	C₇×#436	C₂²	1	2	yes	complemented
124	C₇×#436	C₂²	1	2	yes	complemented
125	C₇×#432	C₂²	1	2	yes	complemented
126	C₇×#432	C₂²	1	1	yes	characteristic, complemented
127	C₇×#428	C₂²	1	2	yes	complemented
128	C₇×#428	C₂²	1	1	yes	characteristic, complemented
129	C₇×#419	C₂²	1	1	yes	characteristic, complemented
130	C₇×#418	C₂²	1	2	yes	—
131	C₇×#417	C₂²	1	1	yes	characteristic
132	C₇×#417	C₂²	1	2	yes	complemented
133	C₄×C₇×M₁₆	C₂²	1	2	yes	complemented
134	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
135	#61468	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	2	1	no	—
137	C₂×C₇×#41	—	2	1	no	—
138	C₂×C₇×#41	D₄	1	1	yes	characteristic
139	C₂×C₇×#41	C₂³	1	1	yes	characteristic
140	C₂×C₇×#41	C₂³	1	2	yes	—
141	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
142	C₂²×C₇×D₄	—	2	1	no	—
143	C₂²×C₇×D₄	C₂³	1	2	yes	—
144	C₂³×C₄×C₇	—	2	2	no	—
145	C₇×#137	—	2	4	no	—
146	C₇×AGL(1,ℤ/8)	—	2	8	no	—
147	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₇×D₈	C₂³	1	2	yes	—
155	C₂×C₇×D₈	C₂³	1	2	yes	—
156	C₂×C₇×D₈	C₂³	1	2	yes	—
157	C₂×C₇×M₁₆	C₂³	1	2	yes	—
158	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
159	C₂×C₇×M₁₆	C₂³	1	2	yes	—
160	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
161	C₇×C₄⋊Q₈	—	2	1	no	—
162	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₇×#127	—	2	1	no	—
165	C₇×#127	C₂³	1	1	yes	characteristic
166	C₇×#127	C₂³	1	1	yes	characteristic
167	C₇×#126	—	2	2	no	—
168	C₇×#126	—	2	2	no	—
169	C₇×#126	—	2	2	no	—
170	C₇×#126	—	2	2	no	—
171	C₇×#126	—	2	2	no	—
172	C₇×#125	—	2	1	no	—
173	C₇×#125	—	2	2	no	—
174	C₇×#125	C₂³	1	2	yes	—
175	C₇×#125	C₂³	1	2	yes	—
176	C₇×#124	—	2	1	no	—
177	C₇×#124	—	2	1	no	—
178	C₇×#124	—	2	1	no	—
179	C₇×#124	—	2	2	no	—
180	C₇×#124	—	2	1	no	—
181	C₇×#124	—	2	1	no	—
182	C₇×#124	C₂³	1	2	yes	—
183	C₇×#124	C₂³	1	2	yes	—
184	C₇×#123	—	2	2	no	—
185	C₇×#123	—	2	2	no	—
186	C₇×#123	—	2	2	no	—
187	C₇×#123	—	2	2	no	—
188	C₇×#123	—	2	2	no	—
189	C₇×#123	—	2	2	no	—
190	C₇×#123	—	2	2	no	—
191	C₇×C₂²⋊Q₈	—	2	1	no	—
192	C₇×C₂²⋊Q₈	—	2	2	no	—
193	C₇×C₂²⋊Q₈	—	2	2	no	—
194	C₇×C₂²⋊Q₈	—	2	2	no	—
195	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
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	1	no	—
202	C₇×#121	—	2	1	no	—
203	C₇×#121	—	2	2	no	—
204	C₇×#121	—	2	2	no	—
205	C₇×#121	C₂³	1	2	yes	—
206	C₇×#121	C₂³	1	2	yes	—
207	C₇×#121	C₂³	1	2	yes	—
208	C₇×#121	C₂³	1	2	yes	—
209	C₇×#120	—	2	2	no	—
210	C₇×#120	—	2	2	no	—
211	C₄×C₇×Q₈	—	2	1	no	—
212	C₄×C₇×Q₈	—	2	1	no	—
213	C₄×C₇×Q₈	—	2	1	no	—
214	C₄×C₇×Q₈	—	2	1	no	—
215	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
216	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
217	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
218	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
219	C₄×C₇×Q₈	C₂³	1	2	yes	—
220	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
221	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
222	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
223	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
224	C₄×C₇×D₄	—	2	1	no	—
225	C₄×C₇×D₄	—	2	2	no	—
226	C₄×C₇×D₄	—	2	1	no	—
227	C₄×C₇×D₄	—	2	1	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	—	2	1	no	—
232	C₄×C₇×D₄	—	2	1	no	—
233	C₄×C₇×D₄	—	2	1	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	2	no	—
239	C₄×C₇×D₄	—	2	2	no	—
240	C₄×C₇×D₄	—	2	1	no	—
241	C₄×C₇×D₄	D₄	1	1	yes	characteristic
242	C₄×C₇×D₄	D₄	1	2	yes	—
243	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
244	C₄×C₇×D₄	C₂³	1	2	yes	—
245	C₄×C₇×D₄	C₂³	1	2	yes	—
246	C₄×C₇×D₄	C₂³	1	2	yes	—
247	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
248	C₄×C₇×D₄	C₂³	1	2	yes	—
249	C₄×C₇×D₄	C₂³	1	2	yes	—
250	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
251	C₄×C₇×D₄	C₂³	1	2	yes	—
252	C₇×#117	—	2	2	no	—
253	C₇×#117	—	2	1	no	—
254	C₇×#117	—	2	2	no	—
255	C₇×#117	—	2	2	no	—
256	C₇×#117	D₄	1	1	yes	characteristic
257	C₇×#117	D₄	1	2	yes	—
258	C₇×#117	C₂³	1	2	yes	—
259	C₇×#117	C₂³	1	1	yes	characteristic
260	C₂×C₇×C₄⋊C₄	—	2	1	no	—
261	C₂×C₇×C₄⋊C₄	—	2	1	no	—
262	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₄²×C₇	—	2	1	no	—
267	C₂×C₄²×C₇	—	2	1	no	—
268	C₂×C₄²×C₇	—	2	2	no	—
269	C₂×C₄²×C₇	C₂³	1	2	yes	—
270	C₂×C₄²×C₇	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	1	yes	characteristic
275	C₇×#107	C₂³	1	1	yes	characteristic
276	C₇×#106	C₂³	1	1	yes	characteristic
277	C₇×#106	C₂³	1	2	yes	—
278	C₇×#106	C₂³	1	2	yes	—
279	C₇×#106	C₂³	1	2	yes	—
280	C₇×#106	C₂³	1	1	yes	characteristic
281	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₇×C₄⋊C₈	C₂³	1	2	yes	—
284	C₇×C₄⋊C₈	C₂³	1	2	yes	—
285	C₇×#103	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	2	yes	—
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	1	yes	characteristic
293	C₇×#103	C₂³	1	1	yes	characteristic
294	C₇×#102	C₂³	1	2	yes	—
295	C₇×#102	C₂³	1	2	yes	—
296	C₇×#102	C₂³	1	2	yes	—
297	C₇×#102	C₂³	1	2	yes	—
298	C₇×#102	C₂³	1	2	yes	—
299	C₇×#102	C₂³	1	2	yes	—
300	C₇×#102	C₂³	1	2	yes	—
301	C₇×#102	C₂³	1	1	yes	characteristic
302	C₇×#102	C₂³	1	2	yes	—
303	C₇×#102	C₂³	1	2	yes	—
304	C₇×#102	C₂³	1	1	yes	characteristic
305	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₇×#97	C₂³	1	1	yes	characteristic
309	C₇×#97	C₂³	1	1	yes	characteristic
310	C₇×#97	C₂³	1	2	yes	—
311	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
312	C₄×C₇×C₈	C₂³	1	2	yes	—
313	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
314	C₄×C₇×C₈	C₂³	1	2	yes	—
315	#3481	C₂×C₇	1	1	yes	characteristic, complemented
316	#3480	C₂×C₇	1	1	yes	characteristic, complemented
317	#3396	C₂×C₇	1	1	yes	characteristic, complemented
318	#3381	C₂×C₇	1	1	yes	characteristic, complemented
319	#3365	C₂×C₇	1	1	yes	characteristic, complemented
320	#3361	C₂×C₇	1	1	yes	characteristic, complemented
321	#3356	C₂×C₇	1	1	yes	characteristic, complemented
322	#3355	C₂×C₇	1	2	yes	complemented
323	#3333	C₂×C₇	1	1	yes	characteristic, complemented
324	#3326	C₂×C₇	1	2	yes	complemented
325	#3324	C₂×C₇	1	1	yes	characteristic, complemented
326	#3322	C₂×C₇	1	2	yes	complemented
327	#3275	C₂×C₇	1	2	yes	complemented
328	#3274	C₂×C₇	1	1	yes	characteristic, complemented
329	#3184	C₂×C₇	1	1	yes	characteristic, complemented
330	#3183	C₂×C₇	1	2	yes	complemented
331	#3115	C₂×C₇	1	1	yes	characteristic, complemented
332	#3114	C₂×C₇	1	2	yes	complemented
333	#3112	C₂×C₇	1	1	yes	characteristic, complemented
334	#3111	C₂×C₇	1	2	yes	complemented
335	#2971	C₂×C₇	1	1	yes	characteristic, complemented
336	C₄×#137	C₂×C₇	1	1	yes	characteristic, complemented
337	C₄×AGL(1,ℤ/8)	C₂×C₇	1	2	yes	complemented
338	C₂⁴×C₇	—	2	2	no	—
339	C₇×#41	—	2	4	no	—
340	C₇×#41	—	2	2	no	—
341	C₇×#41	—	4	2	no	—
342	C₇×#41	—	4	2	no	—
343	C₇×#41	—	4	1	no	—
344	C₇×#41	—	4	4	no	—
345	C₇×#41	—	8	2	no	—
346	C₂×C₇×Q₈	—	2	1	no	—
347	C₂×C₇×Q₈	—	2	1	no	—
348	C₂×C₇×Q₈	—	2	1	no	—
349	C₂×C₇×Q₈	—	2	2	no	—
350	C₂×C₇×Q₈	—	4	1	no	—
351	C₂×C₇×Q₈	C₂×D₄	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×Q₈	C₂⁴	1	1	yes	characteristic
355	C₂×C₇×D₄	—	2	4	no	—
356	C₂×C₇×D₄	—	2	1	no	—
357	C₂×C₇×D₄	—	2	2	no	—
358	C₂×C₇×D₄	—	2	2	no	—
359	C₂×C₇×D₄	—	2	2	no	—
360	C₂×C₇×D₄	—	2	2	no	—
361	C₂×C₇×D₄	—	2	2	no	—
362	C₂×C₇×D₄	—	2	2	no	—
363	C₂×C₇×D₄	—	2	1	no	—
364	C₂×C₇×D₄	—	2	1	no	—
365	C₂×C₇×D₄	—	2	1	no	—
366	C₂×C₇×D₄	—	2	1	no	—
367	C₂×C₇×D₄	—	4	2	no	—
368	C₂×C₇×D₄	—	4	4	no	—
369	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
370	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
371	C₂×C₇×D₄	C₂⁴	1	2	yes	—
372	C₂×C₇×D₄	C₂⁴	1	2	yes	—
373	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
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	1	no	—
382	C₂²×C₄×C₇	—	2	2	no	—
383	C₂²×C₄×C₇	—	2	2	no	—
384	C₂²×C₄×C₇	—	2	2	no	—
385	C₂²×C₄×C₇	—	2	2	no	—
386	C₂²×C₄×C₇	—	8	4	no	—
387	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
389	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
391	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
393	C₇×Q₁₆	—	2	2	no	—
394	C₇×Q₁₆	—	2	2	no	—
395	C₇×SD₁₆	—	2	4	no	—
396	C₇×SD₁₆	—	2	2	no	—
397	C₇×SD₁₆	—	4	2	no	—
398	C₇×SD₁₆	—	4	2	no	—
399	C₇×SD₁₆	#41	1	4	yes	complemented
400	C₇×D₈	—	2	4	no	—
401	C₇×D₈	—	2	4	no	—
402	C₇×D₈	—	4	2	no	—
403	C₇×M₁₆	—	2	4	no	—
404	C₇×M₁₆	—	2	2	no	—
405	C₇×M₁₆	—	4	1	no	—
406	C₇×M₁₆	—	4	2	no	—
407	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
408	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
409	C₂×C₇×C₈	C₂⁴	1	2	yes	—
410	C₂×C₇×C₈	C₂⁴	1	2	yes	—
411	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
412	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
413	C₇×C₄⋊C₄	—	2	1	no	—
414	C₇×C₄⋊C₄	—	2	1	no	—
415	C₇×C₄⋊C₄	—	2	2	no	—
416	C₇×C₄⋊C₄	—	2	1	no	—
417	C₇×C₄⋊C₄	—	2	1	no	—
418	C₇×C₄⋊C₄	—	2	1	no	—
419	C₇×C₄⋊C₄	—	2	2	no	—
420	C₇×C₄⋊C₄	—	2	1	no	—
421	C₇×C₄⋊C₄	—	2	2	no	—
422	C₇×C₄⋊C₄	—	2	2	no	—
423	C₇×C₄⋊C₄	—	2	2	no	—
424	C₇×C₄⋊C₄	—	2	1	no	—
425	C₇×C₄⋊C₄	—	2	1	no	—
426	C₇×C₄⋊C₄	—	2	2	no	—
427	C₇×C₄⋊C₄	—	2	2	no	—
428	C₇×C₄⋊C₄	—	2	1	no	—
429	C₇×C₄⋊C₄	—	2	2	no	—
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	C₂⁴	1	2	yes	—
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	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	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	2	no	—
450	C₇×C₂²⋊C₄	—	2	2	no	—
451	C₇×C₂²⋊C₄	—	2	2	no	—
452	C₇×C₂²⋊C₄	—	2	1	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	2	no	—
459	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
460	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
461	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
462	C₄²×C₇	—	2	1	no	—
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	1	no	—
468	C₄²×C₇	—	2	2	no	—
469	C₄²×C₇	—	2	1	no	—
470	C₄²×C₇	—	2	1	no	—
471	C₄²×C₇	C₂×D₄	1	2	yes	—
472	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
473	C₄²×C₇	C₂×D₄	1	2	yes	—
474	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
475	C₄²×C₇	C₂⁴	1	2	yes	—
476	C₄²×C₇	C₂⁴	1	1	yes	characteristic
477	C₄²×C₇	C₂⁴	1	1	yes	characteristic
478	C₂×#137	C₂²×C₇	1	1	yes	characteristic
479	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	2	yes	—
480	#559	—	2	1	no	—
481	#559	C₂²×C₇	1	1	yes	characteristic
482	#559	C₂²×C₇	1	1	yes	characteristic, complemented
483	#557	C₂²×C₇	1	1	yes	characteristic, complemented
484	#556	—	2	1	no	—
485	#556	C₂²×C₇	1	1	yes	characteristic
486	#554	C₂²×C₇	1	1	yes	characteristic
487	#554	C₂²×C₇	1	1	yes	characteristic
488	#553	—	2	2	no	—
489	#553	—	2	1	no	—
490	#553	C₂²×C₇	1	2	yes	—
491	#553	C₂²×C₇	1	2	yes	complemented
492	#551	—	2	2	no	—
493	#550	C₂²×C₇	1	1	yes	characteristic
494	#548	C₂²×C₇	1	2	yes	complemented
495	#546	—	2	1	no	—
496	#546	C₂²×C₇	1	2	yes	—
497	D₄²	C₂²×C₇	1	1	yes	characteristic
498	#532	—	2	1	no	—
499	#532	C₂²×C₇	1	1	yes	characteristic
500	#532	C₂²×C₇	1	1	yes	characteristic, complemented
501	#529	—	2	1	no	—
502	#529	—	2	2	no	—
503	#529	C₂²×C₇	1	2	yes	—
504	#529	C₂²×C₇	1	2	yes	complemented
505	#525	—	2	2	no	—
506	C₄×#41	—	2	1	no	—
507	C₄×#41	C₂²×C₇	1	1	yes	characteristic
508	C₄×#41	C₂²×C₇	1	1	yes	characteristic
509	C₄×#41	C₂²×C₇	1	2	yes	complemented
510	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
511	C₂×C₄×D₄	—	2	1	no	—
512	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
513	#499	C₂²×C₇	1	2	yes	complemented
514	#498	C₂²×C₇	1	1	yes	characteristic, complemented
515	#495	C₂²×C₇	1	2	yes	complemented
516	#493	C₂²×C₇	1	1	yes	characteristic
517	#488	C₂²×C₇	1	2	yes	complemented
518	#488	C₂²×C₇	1	2	yes	complemented
519	#486	C₂²×C₇	1	1	yes	characteristic
520	#486	C₂²×C₇	1	1	yes	characteristic, complemented
521	#485	C₂²×C₇	1	2	yes	complemented
522	#483	C₂²×C₇	1	2	yes	complemented
523	#482	C₂²×C₇	1	2	yes	—
524	#482	C₂²×C₇	1	2	yes	complemented
525	#480	C₂²×C₇	1	2	yes	complemented
526	#480	C₂²×C₇	1	2	yes	complemented
527	#479	C₂²×C₇	1	2	yes	complemented
528	#478	C₂²×C₇	1	2	yes	—
529	#478	C₂²×C₇	1	2	yes	complemented
530	#478	C₂²×C₇	1	2	yes	complemented
531	#477	C₂²×C₇	1	1	yes	characteristic, complemented
532	#477	C₂²×C₇	1	1	yes	characteristic, complemented
533	#475	C₂²×C₇	1	1	yes	characteristic, complemented
534	#474	C₂²×C₇	1	1	yes	characteristic
535	#470	C₂²×C₇	1	2	yes	complemented
536	#469	C₂²×C₇	1	2	yes	—
537	#469	C₂²×C₇	1	2	yes	complemented
538	#469	C₂²×C₇	1	2	yes	complemented
539	#468	C₂²×C₇	1	2	yes	—
540	#468	C₂²×C₇	1	2	yes	complemented
541	#464	C₂²×C₇	1	2	yes	complemented
542	#463	C₂²×C₇	1	2	yes	—
543	#463	C₂²×C₇	1	2	yes	complemented
544	#463	C₂²×C₇	1	2	yes	complemented
545	#460	C₂²×C₇	1	1	yes	characteristic
546	#460	C₂²×C₇	1	1	yes	characteristic
547	#460	C₂²×C₇	1	1	yes	characteristic, complemented
548	#459	C₂²×C₇	1	1	yes	characteristic
549	#452	C₂²×C₇	1	2	yes	complemented
550	#450	C₂²×C₇	1	2	yes	—
551	#449	C₂²×C₇	1	2	yes	—
552	#449	C₂²×C₇	1	2	yes	—
553	#448	C₂²×C₇	1	2	yes	complemented
554	#447	C₂²×C₇	1	2	yes	—
555	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
556	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
557	#442	C₂²×C₇	1	2	yes	—
558	#442	C₂²×C₇	1	2	yes	complemented
559	#442	C₂²×C₇	1	2	yes	complemented
560	#441	C₂²×C₇	1	1	yes	characteristic, complemented
561	#441	C₂²×C₇	1	1	yes	characteristic, complemented
562	#440	C₂²×C₇	1	1	yes	characteristic
563	#440	C₂²×C₇	1	1	yes	characteristic
564	#440	C₂²×C₇	1	2	yes	complemented
565	#440	C₂²×C₇	1	2	yes	complemented
566	#440	C₂²×C₇	1	2	yes	complemented
567	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
568	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
569	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
570	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
571	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
572	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
573	C₄×D₈	C₂²×C₇	1	2	yes	—
574	C₄×D₈	C₂²×C₇	1	2	yes	complemented
575	#436	C₂²×C₇	1	1	yes	characteristic
576	#436	C₂²×C₇	1	1	yes	characteristic
577	#436	C₂²×C₇	1	2	yes	complemented
578	#436	C₂²×C₇	1	2	yes	complemented
579	#432	C₂²×C₇	1	2	yes	complemented
580	#432	C₂²×C₇	1	1	yes	characteristic, complemented
581	#428	C₂²×C₇	1	1	yes	characteristic, complemented
582	#428	C₂²×C₇	1	2	yes	complemented
583	#419	C₂²×C₇	1	1	yes	characteristic, complemented
584	#418	C₂²×C₇	1	2	yes	—
585	#417	C₂²×C₇	1	1	yes	characteristic
586	#417	C₂²×C₇	1	2	yes	complemented
587	C₄×M₁₆	C₂²×C₇	1	2	yes	complemented
588	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
589	C₂³×C₇	—	2	1	no	—
590	C₂³×C₇	—	2	2	no	—
591	C₂³×C₇	—	2	2	no	—
592	C₂³×C₇	—	4	4	no	—
593	C₂³×C₇	—	4	4	no	—
594	C₂³×C₇	—	8	2	no	—
595	C₂³×C₇	C₂²×D₄	1	2	yes	—
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	—	2	1	no	—
601	C₇×Q₈	—	2	1	no	—
602	C₇×Q₈	—	2	1	no	—
603	C₇×Q₈	—	4	2	no	—
604	C₇×Q₈	—	4	2	no	—
605	C₇×Q₈	—	8	1	no	—
606	C₇×Q₈	C₂×#41	1	2	yes	—
607	C₇×D₄	—	2	2	no	—
608	C₇×D₄	—	2	2	no	—
609	C₇×D₄	—	2	2	no	—
610	C₇×D₄	—	2	1	no	—
611	C₇×D₄	—	2	2	no	—
612	C₇×D₄	—	2	2	no	—
613	C₇×D₄	—	4	2	no	—
614	C₇×D₄	—	4	4	no	—
615	C₇×D₄	—	4	4	no	—
616	C₇×D₄	—	4	2	no	—
617	C₇×D₄	—	4	4	no	—
618	C₇×D₄	—	4	4	no	—
619	C₇×D₄	—	4	2	no	—
620	C₇×D₄	—	4	2	no	—
621	C₇×D₄	—	8	1	no	—
622	C₇×D₄	—	8	1	no	—
623	C₇×D₄	—	8	2	no	—
624	C₇×D₄	—	8	2	no	—
625	C₇×D₄	C₂×#41	1	2	yes	—
626	C₂×C₄×C₇	—	2	1	no	—
627	C₂×C₄×C₇	—	2	2	no	—
628	C₂×C₄×C₇	—	2	2	no	—
629	C₂×C₄×C₇	—	2	1	no	—
630	C₂×C₄×C₇	—	2	2	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	1	no	—
635	C₂×C₄×C₇	—	2	1	no	—
636	C₂×C₄×C₇	—	2	2	no	—
637	C₂×C₄×C₇	—	2	1	no	—
638	C₂×C₄×C₇	—	2	1	no	—
639	C₂×C₄×C₇	—	2	2	no	—
640	C₂×C₄×C₇	—	4	2	no	—
641	C₂×C₄×C₇	—	4	2	no	—
642	C₂×C₄×C₇	—	4	1	no	—
643	C₂×C₄×C₇	—	4	4	no	—
644	C₂×C₄×C₇	—	4	2	no	—
645	C₂×C₄×C₇	—	4	2	no	—
646	C₂×C₄×C₇	—	4	2	no	—
647	C₂×C₄×C₇	—	4	4	no	—
648	C₂×C₄×C₇	—	4	4	no	—
649	C₂×C₄×C₇	—	4	2	no	—
650	C₂×C₄×C₇	—	8	2	no	—
651	C₂×C₄×C₇	—	8	2	no	—
652	C₂×C₄×C₇	—	8	2	no	—
653	C₂×C₄×C₇	—	8	1	no	—
654	C₂×C₄×C₇	—	8	2	no	—
655	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
656	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
657	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
658	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
659	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
660	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
661	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
662	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
663	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
664	C₇×C₈	—	2	2	no	—
665	C₇×C₈	—	2	1	no	—
666	C₇×C₈	—	2	1	no	—
667	C₇×C₈	—	2	1	no	—
668	C₇×C₈	—	2	2	no	—
669	C₇×C₈	C₂×#41	1	2	yes	—
670	C₂×#41	—	2	1	no	—
671	C₂×#41	—	2	1	no	—
672	C₂×#41	C₇×D₄	1	1	yes	characteristic
673	C₂×#41	C₂³×C₇	1	1	yes	characteristic
674	C₂×#41	C₂³×C₇	1	2	yes	—
675	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
676	C₂²×D₄	—	2	1	no	—
677	C₂²×D₄	C₂³×C₇	1	2	yes	—
678	C₂³×C₄	—	2	2	no	—
679	#137	—	2	4	no	—
680	AGL(1,ℤ/8)	—	2	8	no	—
681	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
682	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
683	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
684	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
685	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
686	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
687	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
688	C₂×D₈	C₂³×C₇	1	2	yes	—
689	C₂×D₈	C₂³×C₇	1	2	yes	—
690	C₂×D₈	C₂³×C₇	1	2	yes	—
691	C₂×M₁₆	C₂³×C₇	1	2	yes	—
692	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
693	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
694	C₂×M₁₆	C₂³×C₇	1	2	yes	—
695	C₄⋊Q₈	—	2	1	no	—
696	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
697	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
698	#127	—	2	1	no	—
699	#127	C₂³×C₇	1	1	yes	characteristic
700	#127	C₂³×C₇	1	1	yes	characteristic
701	#126	—	2	2	no	—
702	#126	—	2	2	no	—
703	#126	—	2	2	no	—
704	#126	—	2	2	no	—
705	#126	—	2	2	no	—
706	#125	—	2	1	no	—
707	#125	—	2	2	no	—
708	#125	C₂³×C₇	1	2	yes	—
709	#125	C₂³×C₇	1	2	yes	—
710	#124	—	2	1	no	—
711	#124	—	2	1	no	—
712	#124	—	2	1	no	—
713	#124	—	2	2	no	—
714	#124	—	2	1	no	—
715	#124	—	2	1	no	—
716	#124	C₂³×C₇	1	2	yes	—
717	#124	C₂³×C₇	1	2	yes	—
718	#123	—	2	2	no	—
719	#123	—	2	2	no	—
720	#123	—	2	2	no	—
721	#123	—	2	2	no	—
722	#123	—	2	2	no	—
723	#123	—	2	2	no	—
724	#123	—	2	2	no	—
725	C₂²⋊Q₈	—	2	1	no	—
726	C₂²⋊Q₈	—	2	2	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	—	2	2	no	—
729	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
730	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
731	#121	—	2	2	no	—
732	#121	—	2	2	no	—
733	#121	—	2	2	no	—
734	#121	—	2	1	no	—
735	#121	—	2	1	no	—
736	#121	—	2	1	no	—
737	#121	—	2	2	no	—
738	#121	—	2	2	no	—
739	#121	C₂³×C₇	1	2	yes	—
740	#121	C₂³×C₇	1	2	yes	—
741	#121	C₂³×C₇	1	2	yes	—
742	#121	C₂³×C₇	1	2	yes	—
743	#120	—	2	2	no	—
744	#120	—	2	2	no	—
745	C₄×Q₈	—	2	1	no	—
746	C₄×Q₈	—	2	1	no	—
747	C₄×Q₈	—	2	1	no	—
748	C₄×Q₈	—	2	1	no	—
749	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
750	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
751	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
752	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
753	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
754	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
755	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
756	C₄×Q₈	C₂³×C₇	1	2	yes	—
757	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
758	C₄×D₄	—	2	1	no	—
759	C₄×D₄	—	2	2	no	—
760	C₄×D₄	—	2	1	no	—
761	C₄×D₄	—	2	1	no	—
762	C₄×D₄	—	2	2	no	—
763	C₄×D₄	—	2	2	no	—
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	—	2	1	no	—
766	C₄×D₄	—	2	1	no	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	—	2	2	no	—
769	C₄×D₄	—	2	2	no	—
770	C₄×D₄	—	2	2	no	—
771	C₄×D₄	—	2	1	no	—
772	C₄×D₄	—	2	2	no	—
773	C₄×D₄	—	2	2	no	—
774	C₄×D₄	—	2	1	no	—
775	C₄×D₄	C₇×D₄	1	1	yes	characteristic
776	C₄×D₄	C₇×D₄	1	2	yes	—
777	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
778	C₄×D₄	C₂³×C₇	1	2	yes	—
779	C₄×D₄	C₂³×C₇	1	2	yes	—
780	C₄×D₄	C₂³×C₇	1	2	yes	—
781	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
782	C₄×D₄	C₂³×C₇	1	2	yes	—
783	C₄×D₄	C₂³×C₇	1	2	yes	—
784	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
785	C₄×D₄	C₂³×C₇	1	2	yes	—
786	#117	—	2	2	no	—
787	#117	—	2	1	no	—
788	#117	—	2	2	no	—
789	#117	—	2	2	no	—
790	#117	C₇×D₄	1	1	yes	characteristic
791	#117	C₇×D₄	1	2	yes	—
792	#117	C₂³×C₇	1	1	yes	characteristic
793	#117	C₂³×C₇	1	2	yes	—
794	C₂×C₄⋊C₄	—	2	1	no	—
795	C₂×C₄⋊C₄	—	2	1	no	—
796	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
797	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	—	2	2	no	—
799	C₂×C₂²⋊C₄	—	2	2	no	—
800	C₂×C₄²	—	2	1	no	—
801	C₂×C₄²	—	2	1	no	—
802	C₂×C₄²	—	2	2	no	—
803	C₂×C₄²	C₂³×C₇	1	2	yes	—
804	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
805	#107	C₂³×C₇	1	1	yes	characteristic
806	#107	C₂³×C₇	1	2	yes	—
807	#107	C₂³×C₇	1	1	yes	characteristic
808	#107	C₂³×C₇	1	2	yes	—
809	#107	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	2	yes	—
813	#106	C₂³×C₇	1	2	yes	—
814	#106	C₂³×C₇	1	2	yes	—
815	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
816	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
817	C₄⋊C₈	C₂³×C₇	1	2	yes	—
818	C₄⋊C₈	C₂³×C₇	1	2	yes	—
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	#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	#103	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	2	yes	—
831	#102	C₂³×C₇	1	2	yes	—
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	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
840	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
841	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
842	#97	C₂³×C₇	1	1	yes	characteristic
843	#97	C₂³×C₇	1	1	yes	characteristic
844	#97	C₂³×C₇	1	2	yes	—
845	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
846	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
847	C₄×C₈	C₂³×C₇	1	2	yes	—
848	C₄×C₈	C₂³×C₇	1	2	yes	—
849	C₂²×C₇	—	2	1	no	—
850	C₂²×C₇	—	2	2	no	—
851	C₂²×C₇	—	2	1	no	—
852	C₂²×C₇	—	2	2	no	—
853	C₂²×C₇	—	2	2	no	—
854	C₂²×C₇	—	2	1	no	—
855	C₂²×C₇	—	2	2	no	—
856	C₂²×C₇	—	4	1	no	—
857	C₂²×C₇	—	4	1	no	—
858	C₂²×C₇	—	4	2	no	—
859	C₂²×C₇	—	4	2	no	—
860	C₂²×C₇	—	4	2	no	—
861	C₂²×C₇	—	4	2	no	—
862	C₂²×C₇	—	4	2	no	—
863	C₂²×C₇	—	4	2	no	—
864	C₂²×C₇	—	8	8	no	—
865	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
866	C₄×C₇	—	2	1	no	—
867	C₄×C₇	—	2	2	no	—
868	C₄×C₇	—	2	1	no	—
869	C₄×C₇	—	2	2	no	—
870	C₄×C₇	—	2	1	no	—
871	C₄×C₇	—	2	2	no	—
872	C₄×C₇	—	2	1	no	—
873	C₄×C₇	—	2	2	no	—
874	C₄×C₇	—	4	1	no	—
875	C₄×C₇	—	4	2	no	—
876	C₄×C₇	—	4	1	no	—
877	C₄×C₇	—	4	1	no	—
878	C₄×C₇	—	4	1	no	—
879	C₄×C₇	—	4	1	no	—
880	C₄×C₇	—	4	1	no	—
881	C₄×C₇	—	4	2	no	—
882	C₄×C₇	#575	1	2	yes	—
883	C₄×C₇	C₂²×#41	1	1	yes	characteristic
884	C₄×C₇	#585	1	1	yes	characteristic
885	C₂⁴	—	2	2	no	—
886	#41	—	2	4	no	—
887	#41	—	2	2	no	—
888	#41	—	4	2	no	—
889	#41	—	4	2	no	—
890	#41	—	4	1	no	—
891	#41	—	4	4	no	—
892	#41	—	8	2	no	—
893	C₂×Q₈	—	2	1	no	—
894	C₂×Q₈	—	2	1	no	—
895	C₂×Q₈	—	2	1	no	—
896	C₂×Q₈	—	2	2	no	—
897	C₂×Q₈	—	4	1	no	—
898	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
899	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
900	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
901	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
902	C₂×D₄	—	2	4	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	—	2	2	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	2	1	no	—
912	C₂×D₄	—	2	1	no	—
913	C₂×D₄	—	2	1	no	—
914	C₂×D₄	—	4	2	no	—
915	C₂×D₄	—	4	4	no	—
916	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
917	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
918	C₂×D₄	C₂⁴×C₇	1	2	yes	—
919	C₂×D₄	C₂⁴×C₇	1	2	yes	—
920	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	8	4	no	—
934	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
935	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
936	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
937	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
938	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
939	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
940	Q₁₆	—	2	2	no	—
941	Q₁₆	—	2	2	no	—
942	SD₁₆	—	2	4	no	—
943	SD₁₆	—	2	2	no	—
944	SD₁₆	—	4	2	no	—
945	SD₁₆	—	4	2	no	—
946	SD₁₆	C₇×#41	1	4	yes	complemented
947	D₈	—	2	4	no	—
948	D₈	—	2	4	no	—
949	D₈	—	4	2	no	—
950	M₁₆	—	2	4	no	—
951	M₁₆	—	2	2	no	—
952	M₁₆	—	4	1	no	—
953	M₁₆	—	4	2	no	—
954	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
955	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
956	C₂×C₈	C₂⁴×C₇	1	2	yes	—
957	C₂×C₈	C₂⁴×C₇	1	2	yes	—
958	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
959	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
978	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
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	1	yes	characteristic
984	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
985	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
986	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	2	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	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	1	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	2	no	—
1005	C₂²⋊C₄	—	2	2	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	C₄²	—	2	1	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	1	no	—
1017	C₄²	—	2	1	no	—
1018	C₄²	C₂×C₇×D₄	1	2	yes	—
1019	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1020	C₄²	C₂×C₇×D₄	1	2	yes	—
1021	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1022	C₄²	C₂⁴×C₇	1	2	yes	—
1023	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1024	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1025	C₂×C₇	—	4	1	no	—
1026	C₂×C₇	—	4	2	no	—
1027	C₂×C₇	—	4	2	no	—
1028	C₂×C₇	—	8	2	no	—
1029	C₂×C₇	—	8	2	no	—
1030	C₂×C₇	D₄×#41	1	1	yes	characteristic
1031	C₂×C₇	C₂×#575	1	1	yes	characteristic
1032	C₂×C₇	#3585	1	1	yes	characteristic
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	2	no	—
1035	C₂³	—	2	2	no	—
1036	C₂³	—	4	4	no	—
1037	C₂³	—	4	4	no	—
1038	C₂³	—	8	2	no	—
1039	C₂³	C₂²×C₇×D₄	1	2	yes	—
1040	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1041	Q₈	—	2	1	no	—
1042	Q₈	—	2	2	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	2	1	no	—
1045	Q₈	—	2	1	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	4	2	no	—
1048	Q₈	—	4	2	no	—
1049	Q₈	—	8	1	no	—
1050	Q₈	C₂×C₇×#41	1	2	yes	—
1051	D₄	—	2	2	no	—
1052	D₄	—	2	2	no	—
1053	D₄	—	2	1	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	2	2	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	4	4	no	—
1059	D₄	—	4	4	no	—
1060	D₄	—	4	2	no	—
1061	D₄	—	4	4	no	—
1062	D₄	—	4	4	no	—
1063	D₄	—	4	2	no	—
1064	D₄	—	4	2	no	—
1065	D₄	—	8	1	no	—
1066	D₄	—	8	1	no	—
1067	D₄	—	8	2	no	—
1068	D₄	—	8	2	no	—
1069	D₄	C₂×C₇×#41	1	2	yes	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	1	no	—
1087	C₂×C₄	—	4	4	no	—
1088	C₂×C₄	—	4	2	no	—
1089	C₂×C₄	—	4	2	no	—
1090	C₂×C₄	—	4	2	no	—
1091	C₂×C₄	—	4	4	no	—
1092	C₂×C₄	—	4	4	no	—
1093	C₂×C₄	—	4	2	no	—
1094	C₂×C₄	—	8	2	no	—
1095	C₂×C₄	—	8	2	no	—
1096	C₂×C₄	—	8	2	no	—
1097	C₂×C₄	—	8	1	no	—
1098	C₂×C₄	—	8	2	no	—
1099	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1100	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1101	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1102	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1103	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1104	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1105	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1106	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1107	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1108	C₈	—	2	2	no	—
1109	C₈	—	2	1	no	—
1110	C₈	—	2	1	no	—
1111	C₈	—	2	1	no	—
1112	C₈	—	2	2	no	—
1113	C₈	C₂×C₇×#41	1	2	yes	—
1114	C₇	#61468	1	1	yes	characteristic, direct product factor, Sylow
1115	C₂²	—	2	1	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	1	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	2	1	no	—
1120	C₂²	—	2	2	no	—
1121	C₂²	—	2	2	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	1	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	2	no	—
1126	C₂²	—	4	2	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	4	2	no	—
1129	C₂²	—	4	2	no	—
1130	C₂²	—	8	8	no	—
1131	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1132	C₄	—	2	1	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	2	2	no	—
1136	C₄	—	2	1	no	—
1137	C₄	—	2	2	no	—
1138	C₄	—	2	1	no	—
1139	C₄	—	2	2	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	2	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	2	no	—
1144	C₄	—	4	1	no	—
1145	C₄	—	4	1	no	—
1146	C₄	—	4	1	no	—
1147	C₄	—	4	1	no	—
1148	C₄	C₇×#575	1	2	yes	—
1149	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1150	C₄	C₇×#585	1	1	yes	characteristic
1151	C₂	—	4	2	no	—
1152	C₂	—	4	1	no	—
1153	C₂	—	4	2	no	—
1154	C₂	—	8	2	no	—
1155	C₂	—	8	2	no	—
1156	C₂	C₇×D₄×#41	1	1	yes	characteristic
1157	C₂	C₂×C₇×#575	1	1	yes	characteristic
1158	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 ◁ C₄×C₇×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3481	C₂	semidirect
2. C₇×#3480	C₂	semidirect
3. C₇×#3396	C₂	semidirect
4. C₇×#3381	C₂	semidirect
5. C₇×#3365	C₂	semidirect
6. C₇×#3361	C₂	semidirect
7. C₇×#3356	C₂	semidirect
8. C₇×#3355	C₂	semidirect
9. C₇×#3333	C₂	semidirect
10. C₇×#3326	C₂	semidirect
11. C₇×#3324	C₂	semidirect
12. C₇×#3322	C₂	semidirect
13. C₇×#3275	C₂	semidirect
14. C₇×#3274	C₂	semidirect
15. C₇×#3184	C₂	semidirect
16. C₇×#3183	C₂	semidirect
17. C₇×#3115	C₂	semidirect
18. C₇×#3114	C₂	semidirect
19. C₇×#3112	C₂	semidirect
20. C₇×#3111	C₂	semidirect
21. C₇×#2971	C₂	semidirect
22. C₄×C₇×#137	C₂	semidirect
23. C₄×C₇×AGL(1,ℤ/8)	C₂	semidirect
28. C₇×#559	C₂²	semidirect
29. C₇×#557	C₂²	semidirect
37. C₇×#553	C₂²	semidirect
40. C₇×#548	C₂²	semidirect
46. C₇×#532	C₂²	semidirect
50. C₇×#529	C₂²	semidirect
55. C₄×C₇×#41	C₂²	semidirect
56. C₂×C₄×C₇×Q₈	C₂²	semidirect
59. C₇×#499	C₂²	semidirect
60. C₇×#498	C₂²	semidirect
61. C₇×#495	C₂²	semidirect
63. C₇×#488	C₂²	semidirect
64. C₇×#488	C₂²	semidirect
66. C₇×#486	C₂²	semidirect
67. C₇×#485	C₂²	semidirect
68. C₇×#483	C₂²	semidirect
70. C₇×#482	C₂²	semidirect
71. C₇×#480	C₂²	semidirect
72. C₇×#480	C₂²	semidirect
73. C₇×#479	C₂²	semidirect
75. C₇×#478	C₂²	semidirect
76. C₇×#478	C₂²	semidirect
77. C₇×#477	C₂²	semidirect
78. C₇×#477	C₂²	semidirect
79. C₇×#475	C₂²	semidirect
81. C₇×#470	C₂²	semidirect
83. C₇×#469	C₂²	semidirect
84. C₇×#469	C₂²	semidirect
86. C₇×#468	C₂²	semidirect
87. C₇×#464	C₂²	semidirect
89. C₇×#463	C₂²	semidirect
90. C₇×#463	C₂²	semidirect
93. C₇×#460	C₂²	semidirect
95. C₇×#452	C₂²	semidirect
99. C₇×#448	C₂²	semidirect
101. C₇×C₈×Q₈	C₂²	semidirect
102. C₇×C₈×Q₈	C₂²	semidirect
104. C₇×#442	C₂²	semidirect
105. C₇×#442	C₂²	semidirect
106. C₇×#441	C₂²	semidirect
107. C₇×#441	C₂²	semidirect
110. C₇×#440	C₂²	semidirect
111. C₇×#440	C₂²	semidirect
112. C₇×#440	C₂²	semidirect
113. C₄×C₇×Q₁₆	C₂²	semidirect
114. C₄×C₇×Q₁₆	C₂²	semidirect
118. C₄×C₇×SD₁₆	C₂²	semidirect
120. C₄×C₇×D₈	C₂²	semidirect
123. C₇×#436	C₂²	semidirect
124. C₇×#436	C₂²	semidirect
125. C₇×#432	C₂²	semidirect
126. C₇×#432	C₂²	semidirect
127. C₇×#428	C₂²	semidirect
128. C₇×#428	C₂²	semidirect
129. C₇×#419	C₂²	semidirect
132. C₇×#417	C₂²	semidirect
133. C₄×C₇×M₁₆	C₂²	semidirect
134. C₄×C₇×M₁₆	C₂²	semidirect
135. #61468	C₇	direct (N × H)
315. #3481	C₂×C₇	semidirect
316. #3480	C₂×C₇	semidirect
317. #3396	C₂×C₇	semidirect
318. #3381	C₂×C₇	semidirect
319. #3365	C₂×C₇	semidirect
320. #3361	C₂×C₇	semidirect
321. #3356	C₂×C₇	semidirect
322. #3355	C₂×C₇	semidirect
323. #3333	C₂×C₇	semidirect
324. #3326	C₂×C₇	semidirect
325. #3324	C₂×C₇	semidirect
326. #3322	C₂×C₇	semidirect
327. #3275	C₂×C₇	semidirect
328. #3274	C₂×C₇	semidirect
329. #3184	C₂×C₇	semidirect
330. #3183	C₂×C₇	semidirect
331. #3115	C₂×C₇	semidirect
332. #3114	C₂×C₇	semidirect
333. #3112	C₂×C₇	semidirect
334. #3111	C₂×C₇	semidirect
335. #2971	C₂×C₇	semidirect
336. C₄×#137	C₂×C₇	semidirect
337. C₄×AGL(1,ℤ/8)	C₂×C₇	semidirect
399. C₇×SD₁₆	#41	semidirect
482. #559	C₂²×C₇	semidirect
483. #557	C₂²×C₇	semidirect
491. #553	C₂²×C₇	semidirect
494. #548	C₂²×C₇	semidirect
500. #532	C₂²×C₇	semidirect
504. #529	C₂²×C₇	semidirect
509. C₄×#41	C₂²×C₇	semidirect
510. C₂×C₄×Q₈	C₂²×C₇	semidirect
513. #499	C₂²×C₇	semidirect
514. #498	C₂²×C₇	semidirect
515. #495	C₂²×C₇	semidirect
517. #488	C₂²×C₇	semidirect
518. #488	C₂²×C₇	semidirect
520. #486	C₂²×C₇	semidirect
521. #485	C₂²×C₇	semidirect
522. #483	C₂²×C₇	semidirect
524. #482	C₂²×C₇	semidirect
525. #480	C₂²×C₇	semidirect
526. #480	C₂²×C₇	semidirect
527. #479	C₂²×C₇	semidirect
529. #478	C₂²×C₇	semidirect
530. #478	C₂²×C₇	semidirect
531. #477	C₂²×C₇	semidirect
532. #477	C₂²×C₇	semidirect
533. #475	C₂²×C₇	semidirect
535. #470	C₂²×C₇	semidirect
537. #469	C₂²×C₇	semidirect
538. #469	C₂²×C₇	semidirect
540. #468	C₂²×C₇	semidirect
541. #464	C₂²×C₇	semidirect
543. #463	C₂²×C₇	semidirect
544. #463	C₂²×C₇	semidirect
547. #460	C₂²×C₇	semidirect
549. #452	C₂²×C₇	semidirect
553. #448	C₂²×C₇	semidirect
555. C₈×Q₈	C₂²×C₇	semidirect
556. C₈×Q₈	C₂²×C₇	semidirect
558. #442	C₂²×C₇	semidirect
559. #442	C₂²×C₇	semidirect
560. #441	C₂²×C₇	semidirect
561. #441	C₂²×C₇	semidirect
564. #440	C₂²×C₇	semidirect
565. #440	C₂²×C₇	semidirect
566. #440	C₂²×C₇	semidirect
567. C₄×Q₁₆	C₂²×C₇	semidirect
568. C₄×Q₁₆	C₂²×C₇	semidirect
572. C₄×SD₁₆	C₂²×C₇	semidirect
574. C₄×D₈	C₂²×C₇	semidirect
577. #436	C₂²×C₇	semidirect
578. #436	C₂²×C₇	semidirect
579. #432	C₂²×C₇	semidirect
580. #432	C₂²×C₇	semidirect
581. #428	C₂²×C₇	semidirect
582. #428	C₂²×C₇	semidirect
583. #419	C₂²×C₇	semidirect
586. #417	C₂²×C₇	semidirect
587. C₄×M₁₆	C₂²×C₇	semidirect
588. C₄×M₁₆	C₂²×C₇	semidirect
946. SD₁₆	C₇×#41	semidirect
1114. C₇	#61468	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×#3481	2
C₇×#3480	2
C₇×#3396	2
C₇×#3381	2
C₇×#3365	2
C₇×#3361	2
C₇×#3356	2
C₇×#3355	2
C₇×#3333	2
C₇×#3326	2
C₇×#3324	2
C₇×#3322	2
C₇×#3275	2
C₇×#3274	2
C₇×#3184	2
C₇×#3183	2
C₇×#3115	2
C₇×#3114	2
C₇×#3112	2
C₇×#3111	2
C₇×#2971	2
C₄×C₇×#137	2
C₄×C₇×AGL(1,ℤ/8)	2
#61468	7

Subgroups — C7×#61468 #13238684

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61468 #13238684