Subgroups — C₇×#60697 #13237913

Order 1792.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1168 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3461	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3183	C₂	1	2	yes	maximal, complemented
4	C₇×#3182	C₂	1	2	yes	maximal, complemented
5	C₇×#3181	C₂	1	2	yes	maximal, complemented
6	C₇×#3180	C₂	1	2	yes	maximal, complemented
7	C₇×#3179	C₂	1	2	yes	maximal, complemented
8	C₇×#3178	C₂	1	2	yes	maximal, complemented
9	C₇×#3175	C₂	1	2	yes	maximal, complemented
10	C₇×#3174	C₂	1	2	yes	maximal, complemented
11	C₇×#3164	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3154	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3137	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3136	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3063	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3062	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3061	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3057	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×C₇×#137	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₇×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2943	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₇×#440	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2875	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×#137	C₂²	1	1	yes	characteristic
25	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×C₇×#135	C₂²	1	1	yes	characteristic
27	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
28	C₂×C₇×#131	C₂²	1	1	yes	characteristic
29	C₂×C₇×#131	C₂²	1	1	yes	characteristic
30	C₇×#544	C₂²	1	1	yes	characteristic
31	C₇×#544	C₂²	1	1	yes	characteristic
32	C₇×#542	—	2	1	no	—
33	C₇×#542	—	2	1	no	—
34	C₇×#542	C₂²	1	2	yes	—
35	C₇×#542	C₂²	1	2	yes	complemented
36	C₇×#541	—	2	1	no	—
37	C₇×#541	C₂²	1	2	yes	complemented
38	C₇×#540	—	2	1	no	—
39	C₇×#540	C₂²	1	2	yes	—
40	C₇×#539	—	2	2	no	—
41	C₇×#538	—	2	2	no	—
42	C₇×#537	C₂²	1	1	yes	characteristic
43	C₇×#537	C₂²	1	1	yes	characteristic
44	C₇×#536	C₂²	1	1	yes	characteristic
45	C₇×#536	C₂²	1	1	yes	characteristic
46	C₇×#535	C₂²	1	1	yes	characteristic
47	C₇×#535	C₂²	1	1	yes	characteristic
48	C₇×#533	—	2	1	no	—
49	C₇×#533	C₂²	1	2	yes	complemented
50	C₇×#532	—	2	1	no	—
51	C₇×#532	C₂²	1	2	yes	—
52	C₇×#529	—	2	1	no	—
53	C₇×#529	—	2	2	no	—
54	C₇×#529	—	2	1	no	—
55	C₇×#529	C₂²	1	2	yes	—
56	C₇×#529	C₂²	1	2	yes	complemented
57	C₇×#525	—	2	2	no	—
58	C₄×C₇×#41	C₂²	1	1	yes	characteristic
59	C₄×C₇×#41	C₂²	1	1	yes	characteristic
60	C₄×C₇×#41	C₂²	1	1	yes	characteristic
61	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
62	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
63	C₇×#501	C₂²	1	2	yes	complemented
64	C₇×#501	C₂²	1	2	yes	complemented
65	C₇×#500	C₂²	1	2	yes	complemented
66	C₇×#499	C₂²	1	2	yes	complemented
67	C₇×#497	C₂²	1	2	yes	—
68	C₇×#496	C₂²	1	2	yes	—
69	C₇×#495	C₂²	1	2	yes	—
70	C₇×#492	C₂²	1	2	yes	—
71	C₇×#491	C₂²	1	2	yes	complemented
72	C₇×#490	C₂²	1	2	yes	—
73	C₇×#489	C₂²	1	2	yes	—
74	C₇×#489	C₂²	1	2	yes	complemented
75	C₇×#488	C₂²	1	2	yes	—
76	C₇×#488	C₂²	1	2	yes	complemented
77	C₇×#487	C₂²	1	2	yes	complemented
78	C₇×#486	C₂²	1	2	yes	—
79	C₇×#470	C₂²	1	2	yes	complemented
80	C₇×#469	C₂²	1	2	yes	—
81	C₇×#468	C₂²	1	2	yes	—
82	C₇×#468	C₂²	1	2	yes	—
83	C₇×#468	C₂²	1	2	yes	—
84	C₇×#468	C₂²	1	2	yes	complemented
85	C₇×#468	C₂²	1	2	yes	complemented
86	C₇×#468	C₂²	1	2	yes	complemented
87	C₇×#467	C₂²	1	2	yes	complemented
88	C₇×#467	C₂²	1	2	yes	complemented
89	C₇×#466	C₂²	1	2	yes	—
90	C₇×#466	C₂²	1	2	yes	complemented
91	C₇×#465	C₂²	1	2	yes	—
92	C₇×#465	C₂²	1	2	yes	—
93	C₇×#465	C₂²	1	2	yes	—
94	C₇×#465	C₂²	1	2	yes	complemented
95	C₇×#442	C₂²	1	2	yes	—
96	C₇×#442	C₂²	1	1	yes	characteristic, complemented
97	C₇×#442	C₂²	1	1	yes	characteristic, complemented
98	C₇×#441	C₂²	1	1	yes	characteristic, complemented
99	C₇×#441	C₂²	1	1	yes	characteristic, complemented
100	C₇×#441	C₂²	1	2	yes	complemented
101	C₇×#440	C₂²	1	2	yes	—
102	C₇×#440	C₂²	1	2	yes	—
103	C₇×#440	C₂²	1	2	yes	—
104	C₇×#440	C₂²	1	2	yes	—
105	C₇×#440	C₂²	1	2	yes	—
106	C₇×#440	C₂²	1	1	yes	characteristic, complemented
107	C₇×#440	C₂²	1	1	yes	characteristic, complemented
108	C₇×#440	C₂²	1	2	yes	complemented
109	C₇×#440	C₂²	1	1	yes	characteristic, complemented
110	C₇×#440	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₇×Q₁₆	C₂²	1	2	yes	complemented
112	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
113	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
114	C₄×C₇×D₈	C₂²	1	2	yes	—
115	C₇×#428	C₂²	1	1	yes	characteristic
116	C₇×#428	C₂²	1	1	yes	characteristic
117	C₇×#427	C₂²	1	1	yes	characteristic
118	C₂×C₇×#107	C₂²	1	1	yes	characteristic
119	C₇×#419	C₂²	1	1	yes	characteristic
120	C₇×#418	C₂²	1	1	yes	characteristic
121	C₇×#417	C₂²	1	1	yes	characteristic
122	C₇×#417	C₂²	1	1	yes	characteristic
123	C₇×#416	C₂²	1	1	yes	characteristic
124	C₇×#416	C₂²	1	1	yes	characteristic
125	C₂×C₇×#103	C₂²	1	1	yes	characteristic
126	C₂×C₇×#102	C₂²	1	1	yes	characteristic
127	C₇×#405	C₂²	1	1	yes	characteristic
128	C₇×#405	C₂²	1	1	yes	characteristic
129	C₇×#405	C₂²	1	2	yes	complemented
130	C₇×#405	C₂²	1	2	yes	complemented
131	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic
132	C₄×C₇×M₁₆	C₂²	1	2	yes	complemented
133	C₂×C₇×#97	C₂²	1	1	yes	characteristic
134	C₂×C₇×#97	C₂²	1	2	yes	complemented
135	#60697	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	2	2	no	—
137	C₂×C₇×#41	C₂³	1	1	yes	characteristic
138	C₂×C₇×#41	C₂³	1	1	yes	characteristic
139	C₂×C₇×#41	C₂³	1	1	yes	characteristic
140	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
141	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₇	—	2	1	no	—
143	C₇×#137	—	2	4	no	—
144	C₇×AGL(1,ℤ/8)	—	2	4	no	—
145	C₇×#135	—	2	4	no	—
146	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₇×SD₁₆	—	2	4	no	—
149	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₇×D₈	C₂³	1	2	yes	—
156	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
157	C₇×#131	—	2	4	no	—
158	C₇×#131	—	2	4	no	—
159	C₂×C₇×M₁₆	C₂³	1	2	yes	—
160	C₂×C₇×M₁₆	C₂³	1	2	yes	—
161	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
162	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
163	C₂²×C₇×C₈	C₂³	1	2	yes	—
164	C₂²×C₇×C₈	C₂³	1	2	yes	—
165	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
166	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
167	C₇×C₄⋊Q₈	—	2	1	no	—
168	C₇×C₄⋊Q₈	—	2	1	no	—
169	C₇×C₄⋊Q₈	—	2	1	no	—
170	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
171	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
172	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₇×#127	—	2	1	no	—
174	C₇×#127	C₂³	1	2	yes	—
175	C₇×#126	—	2	2	no	—
176	C₇×#126	—	2	2	no	—
177	C₇×#126	—	2	2	no	—
178	C₇×#126	—	2	2	no	—
179	C₇×#126	—	2	2	no	—
180	C₇×#126	—	2	2	no	—
181	C₇×#125	—	2	1	no	—
182	C₇×#125	—	2	2	no	—
183	C₇×#125	—	2	1	no	—
184	C₇×#125	—	2	2	no	—
185	C₇×#125	—	2	2	no	—
186	C₇×#125	C₂³	1	2	yes	—
187	C₇×#125	C₂³	1	2	yes	—
188	C₇×#124	—	2	1	no	—
189	C₇×#124	—	2	1	no	—
190	C₇×#124	—	2	2	no	—
191	C₇×#124	—	2	2	no	—
192	C₇×#124	—	2	2	no	—
193	C₇×#124	C₂³	1	2	yes	—
194	C₇×#124	C₂³	1	2	yes	—
195	C₇×#123	—	2	2	no	—
196	C₇×#123	—	2	2	no	—
197	C₇×#123	—	2	2	no	—
198	C₇×#123	—	2	2	no	—
199	C₇×#123	—	2	2	no	—
200	C₇×#123	—	2	2	no	—
201	C₇×#123	—	2	2	no	—
202	C₇×#123	—	2	2	no	—
203	C₇×C₂²⋊Q₈	—	2	1	no	—
204	C₇×C₂²⋊Q₈	—	2	1	no	—
205	C₇×C₂²⋊Q₈	—	2	2	no	—
206	C₇×C₂²⋊Q₈	—	2	2	no	—
207	C₇×C₂²⋊Q₈	—	2	1	no	—
208	C₇×C₂²⋊Q₈	—	2	1	no	—
209	C₇×C₂²⋊Q₈	—	2	2	no	—
210	C₇×C₂²⋊Q₈	—	2	2	no	—
211	C₇×C₂²⋊Q₈	—	2	2	no	—
212	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₇×#121	—	2	2	no	—
217	C₇×#121	—	2	2	no	—
218	C₇×#121	—	2	1	no	—
219	C₇×#121	—	2	1	no	—
220	C₇×#121	—	2	2	no	—
221	C₇×#121	—	2	1	no	—
222	C₇×#121	—	2	1	no	—
223	C₇×#121	—	2	2	no	—
224	C₇×#121	—	2	2	no	—
225	C₇×#121	C₂³	1	2	yes	—
226	C₇×#121	C₂³	1	2	yes	—
227	C₇×#121	C₂³	1	2	yes	—
228	C₇×#121	C₂³	1	2	yes	—
229	C₇×#120	—	2	2	no	—
230	C₇×#120	—	2	2	no	—
231	C₄×C₇×Q₈	—	2	1	no	—
232	C₄×C₇×Q₈	—	2	1	no	—
233	C₄×C₇×Q₈	—	2	2	no	—
234	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
235	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
236	C₄×C₇×Q₈	C₂³	1	2	yes	—
237	C₄×C₇×Q₈	C₂³	1	2	yes	—
238	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
239	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
240	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
241	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
242	C₄×C₇×D₄	—	2	1	no	—
243	C₄×C₇×D₄	—	2	1	no	—
244	C₄×C₇×D₄	—	2	1	no	—
245	C₄×C₇×D₄	—	2	1	no	—
246	C₄×C₇×D₄	—	2	2	no	—
247	C₄×C₇×D₄	—	2	2	no	—
248	C₄×C₇×D₄	—	2	1	no	—
249	C₄×C₇×D₄	—	2	1	no	—
250	C₄×C₇×D₄	—	2	2	no	—
251	C₄×C₇×D₄	D₄	1	2	yes	—
252	C₄×C₇×D₄	D₄	1	2	yes	—
253	C₄×C₇×D₄	D₄	1	1	yes	characteristic
254	C₄×C₇×D₄	D₄	1	1	yes	characteristic
255	C₄×C₇×D₄	C₂³	1	2	yes	—
256	C₄×C₇×D₄	C₂³	1	2	yes	—
257	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
258	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
259	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
260	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
261	C₇×#117	—	2	2	no	—
262	C₇×#117	—	2	1	no	—
263	C₇×#117	—	2	1	no	—
264	C₇×#117	—	2	2	no	—
265	C₇×#117	—	2	2	no	—
266	C₇×#117	C₂³	1	1	yes	characteristic
267	C₇×#117	C₂³	1	1	yes	characteristic
268	C₇×#117	C₂³	1	1	yes	characteristic
269	C₇×#117	C₂³	1	2	yes	—
270	C₂×C₇×C₄⋊C₄	—	2	1	no	—
271	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
274	C₂×C₄²×C₇	—	2	1	no	—
275	C₂×C₄²×C₇	—	2	1	no	—
276	C₂×C₄²×C₇	—	2	1	no	—
277	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
278	C₂×C₄²×C₇	C₂³	1	2	yes	—
279	C₇×#107	C₂³	1	2	yes	—
280	C₇×#107	C₂³	1	2	yes	—
281	C₇×#107	C₂³	1	2	yes	—
282	C₇×#107	C₂³	1	1	yes	characteristic
283	C₇×#107	C₂³	1	1	yes	characteristic
284	C₇×#107	C₂³	1	2	yes	—
285	C₇×#106	C₂³	1	2	yes	—
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×#103	C₂³	1	1	yes	characteristic
290	C₇×#103	C₂³	1	2	yes	—
291	C₇×#103	C₂³	1	2	yes	—
292	C₇×#103	C₂³	1	2	yes	—
293	C₇×#103	C₂³	1	1	yes	characteristic
294	C₇×#103	C₂³	1	2	yes	—
295	C₇×#103	C₂³	1	2	yes	—
296	C₇×#103	C₂³	1	2	yes	—
297	C₇×#103	C₂³	1	1	yes	characteristic
298	C₇×#103	C₂³	1	1	yes	characteristic
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	2	yes	—
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×#102	C₂³	1	1	yes	characteristic
309	C₇×#97	C₂³	1	2	yes	—
310	C₇×#97	C₂³	1	2	yes	—
311	C₇×#97	C₂³	1	1	yes	characteristic
312	C₇×#97	C₂³	1	1	yes	characteristic
313	C₇×#97	C₂³	1	1	yes	characteristic
314	C₇×#97	C₂³	1	1	yes	characteristic
315	C₇×#97	C₂³	1	2	yes	—
316	C₄×C₇×C₈	C₂³	1	2	yes	—
317	C₄×C₇×C₈	C₂³	1	2	yes	—
318	C₄×C₇×C₈	C₂³	1	2	yes	—
319	#3461	C₂×C₇	1	1	yes	characteristic, complemented
320	#3460	C₂×C₇	1	1	yes	characteristic, complemented
321	#3183	C₂×C₇	1	2	yes	complemented
322	#3182	C₂×C₇	1	2	yes	complemented
323	#3181	C₂×C₇	1	2	yes	complemented
324	#3180	C₂×C₇	1	2	yes	complemented
325	#3179	C₂×C₇	1	2	yes	complemented
326	#3178	C₂×C₇	1	2	yes	complemented
327	#3175	C₂×C₇	1	2	yes	complemented
328	#3174	C₂×C₇	1	2	yes	complemented
329	#3164	C₂×C₇	1	1	yes	characteristic, complemented
330	#3154	C₂×C₇	1	1	yes	characteristic, complemented
331	#3137	C₂×C₇	1	1	yes	characteristic, complemented
332	#3136	C₂×C₇	1	1	yes	characteristic, complemented
333	#3063	C₂×C₇	1	1	yes	characteristic, complemented
334	#3062	C₂×C₇	1	1	yes	characteristic, complemented
335	#3061	C₂×C₇	1	1	yes	characteristic, complemented
336	#3057	C₂×C₇	1	1	yes	characteristic, complemented
337	C₄×#137	C₂×C₇	1	1	yes	characteristic, complemented
338	C₄×AGL(1,ℤ/8)	C₂×C₇	1	1	yes	characteristic, complemented
339	#2943	C₂×C₇	1	1	yes	characteristic, complemented
340	C₂×#440	C₂×C₇	1	1	yes	characteristic, complemented
341	#2875	C₂×C₇	1	1	yes	characteristic, complemented
342	C₂⁴×C₇	—	2	1	no	—
343	C₇×#41	—	2	2	no	—
344	C₇×#41	—	2	2	no	—
345	C₇×#41	—	2	2	no	—
346	C₇×#41	—	2	2	no	—
347	C₇×#41	—	2	2	no	—
348	C₇×#41	—	2	2	no	—
349	C₇×#41	—	8	4	no	—
350	C₂×C₇×Q₈	—	2	1	no	—
351	C₂×C₇×Q₈	—	2	2	no	—
352	C₂×C₇×Q₈	—	2	2	no	—
353	C₂×C₇×Q₈	—	2	2	no	—
354	C₂×C₇×Q₈	—	2	2	no	—
355	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
356	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
357	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
358	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
359	C₂×C₇×D₄	—	2	1	no	—
360	C₂×C₇×D₄	—	2	1	no	—
361	C₂×C₇×D₄	—	2	2	no	—
362	C₂×C₇×D₄	—	2	2	no	—
363	C₂×C₇×D₄	—	2	2	no	—
364	C₂×C₇×D₄	—	2	2	no	—
365	C₂×C₇×D₄	—	2	1	no	—
366	C₂×C₇×D₄	—	2	2	no	—
367	C₂×C₇×D₄	—	2	2	no	—
368	C₂×C₇×D₄	—	2	2	no	—
369	C₂×C₇×D₄	—	2	2	no	—
370	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
371	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
372	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
373	C₂×C₇×D₄	C₂⁴	1	2	yes	—
374	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₇	—	2	1	no	—
376	C₂²×C₄×C₇	—	2	1	no	—
377	C₂²×C₄×C₇	—	2	1	no	—
378	C₂²×C₄×C₇	—	2	1	no	—
379	C₂²×C₄×C₇	—	2	1	no	—
380	C₂²×C₄×C₇	—	2	1	no	—
381	C₂²×C₄×C₇	—	2	1	no	—
382	C₂²×C₄×C₇	—	2	2	no	—
383	C₂²×C₄×C₇	—	2	1	no	—
384	C₂²×C₄×C₇	—	2	1	no	—
385	C₂²×C₄×C₇	—	2	2	no	—
386	C₂²×C₄×C₇	—	8	2	no	—
387	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
390	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
391	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
392	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
393	C₇×Q₁₆	—	2	2	no	—
394	C₇×Q₁₆	—	2	4	no	—
395	C₇×SD₁₆	—	2	4	no	—
396	C₇×SD₁₆	—	2	4	no	—
397	C₇×SD₁₆	—	2	2	no	—
398	C₇×SD₁₆	—	2	2	no	—
399	C₇×SD₁₆	—	2	4	no	—
400	C₇×SD₁₆	—	2	4	no	—
401	C₇×D₈	—	2	2	no	—
402	C₇×D₈	—	2	4	no	—
403	C₇×M₁₆	—	2	2	no	—
404	C₇×M₁₆	—	2	4	no	—
405	C₇×M₁₆	—	2	4	no	—
406	C₇×M₁₆	#41	1	4	yes	complemented
407	C₂×C₇×C₈	—	2	2	no	—
408	C₂×C₇×C₈	—	2	4	no	—
409	C₂×C₇×C₈	—	2	4	no	—
410	C₂×C₇×C₈	#41	1	4	yes	complemented
411	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
412	C₂×C₇×C₈	C₂⁴	1	2	yes	—
413	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
414	C₂×C₇×C₈	C₂⁴	1	2	yes	—
415	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
416	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
417	C₇×C₄⋊C₄	—	2	2	no	—
418	C₇×C₄⋊C₄	—	2	2	no	—
419	C₇×C₄⋊C₄	—	2	1	no	—
420	C₇×C₄⋊C₄	—	2	1	no	—
421	C₇×C₄⋊C₄	—	2	1	no	—
422	C₇×C₄⋊C₄	—	2	1	no	—
423	C₇×C₄⋊C₄	—	2	1	no	—
424	C₇×C₄⋊C₄	—	2	1	no	—
425	C₇×C₄⋊C₄	—	2	2	no	—
426	C₇×C₄⋊C₄	—	2	2	no	—
427	C₇×C₄⋊C₄	—	2	2	no	—
428	C₇×C₄⋊C₄	—	2	2	no	—
429	C₇×C₄⋊C₄	—	2	2	no	—
430	C₇×C₄⋊C₄	—	2	2	no	—
431	C₇×C₄⋊C₄	—	2	2	no	—
432	C₇×C₄⋊C₄	—	2	2	no	—
433	C₇×C₄⋊C₄	—	2	2	no	—
434	C₇×C₄⋊C₄	—	2	2	no	—
435	C₇×C₄⋊C₄	—	2	2	no	—
436	C₇×C₄⋊C₄	—	2	2	no	—
437	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
438	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
439	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
440	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
441	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
442	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
443	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
444	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
445	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
446	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
447	C₇×C₂²⋊C₄	—	2	2	no	—
448	C₇×C₂²⋊C₄	—	2	2	no	—
449	C₇×C₂²⋊C₄	—	2	1	no	—
450	C₇×C₂²⋊C₄	—	2	1	no	—
451	C₇×C₂²⋊C₄	—	2	2	no	—
452	C₇×C₂²⋊C₄	—	2	2	no	—
453	C₇×C₂²⋊C₄	—	2	2	no	—
454	C₇×C₂²⋊C₄	—	2	2	no	—
455	C₇×C₂²⋊C₄	—	2	1	no	—
456	C₇×C₂²⋊C₄	—	2	1	no	—
457	C₇×C₂²⋊C₄	—	2	1	no	—
458	C₇×C₂²⋊C₄	—	2	1	no	—
459	C₇×C₂²⋊C₄	—	2	2	no	—
460	C₇×C₂²⋊C₄	—	2	2	no	—
461	C₇×C₂²⋊C₄	—	2	2	no	—
462	C₇×C₂²⋊C₄	—	2	2	no	—
463	C₇×C₂²⋊C₄	—	2	2	no	—
464	C₇×C₂²⋊C₄	—	2	2	no	—
465	C₇×C₂²⋊C₄	—	2	2	no	—
466	C₇×C₂²⋊C₄	—	2	2	no	—
467	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
468	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
469	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
470	C₄²×C₇	—	2	1	no	—
471	C₄²×C₇	—	2	2	no	—
472	C₄²×C₇	—	2	1	no	—
473	C₄²×C₇	—	2	1	no	—
474	C₄²×C₇	—	2	1	no	—
475	C₄²×C₇	—	2	1	no	—
476	C₄²×C₇	—	2	1	no	—
477	C₄²×C₇	—	2	2	no	—
478	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
479	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
480	C₄²×C₇	C₂×D₄	1	2	yes	—
481	C₄²×C₇	C₂×D₄	1	2	yes	—
482	C₄²×C₇	C₂⁴	1	1	yes	characteristic
483	C₄²×C₇	C₂⁴	1	2	yes	—
484	C₄²×C₇	C₂⁴	1	1	yes	characteristic
485	C₂×#137	C₂²×C₇	1	1	yes	characteristic
486	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
487	C₂×#135	C₂²×C₇	1	1	yes	characteristic
488	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
489	C₂×#131	C₂²×C₇	1	1	yes	characteristic
490	C₂×#131	C₂²×C₇	1	1	yes	characteristic
491	#544	C₂²×C₇	1	1	yes	characteristic
492	#544	C₂²×C₇	1	1	yes	characteristic
493	#542	—	2	1	no	—
494	#542	—	2	1	no	—
495	#542	C₂²×C₇	1	2	yes	—
496	#542	C₂²×C₇	1	2	yes	complemented
497	#541	—	2	1	no	—
498	#541	C₂²×C₇	1	2	yes	complemented
499	#540	—	2	1	no	—
500	#540	C₂²×C₇	1	2	yes	—
501	#539	—	2	2	no	—
502	#538	—	2	2	no	—
503	#537	C₂²×C₇	1	1	yes	characteristic
504	#537	C₂²×C₇	1	1	yes	characteristic
505	#536	C₂²×C₇	1	1	yes	characteristic
506	#536	C₂²×C₇	1	1	yes	characteristic
507	#535	C₂²×C₇	1	1	yes	characteristic
508	#535	C₂²×C₇	1	1	yes	characteristic
509	#533	—	2	1	no	—
510	#533	C₂²×C₇	1	2	yes	complemented
511	#532	—	2	1	no	—
512	#532	C₂²×C₇	1	2	yes	—
513	#529	—	2	1	no	—
514	#529	—	2	2	no	—
515	#529	—	2	1	no	—
516	#529	C₂²×C₇	1	2	yes	—
517	#529	C₂²×C₇	1	2	yes	complemented
518	#525	—	2	2	no	—
519	C₄×#41	C₂²×C₇	1	1	yes	characteristic
520	C₄×#41	C₂²×C₇	1	1	yes	characteristic
521	C₄×#41	C₂²×C₇	1	1	yes	characteristic
522	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
523	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
524	#501	C₂²×C₇	1	2	yes	complemented
525	#501	C₂²×C₇	1	2	yes	complemented
526	#500	C₂²×C₇	1	2	yes	complemented
527	#499	C₂²×C₇	1	2	yes	complemented
528	#497	C₂²×C₇	1	2	yes	—
529	#496	C₂²×C₇	1	2	yes	—
530	#495	C₂²×C₇	1	2	yes	—
531	#492	C₂²×C₇	1	2	yes	—
532	#491	C₂²×C₇	1	2	yes	complemented
533	#490	C₂²×C₇	1	2	yes	—
534	#489	C₂²×C₇	1	2	yes	—
535	#489	C₂²×C₇	1	2	yes	complemented
536	#488	C₂²×C₇	1	2	yes	—
537	#488	C₂²×C₇	1	2	yes	complemented
538	#487	C₂²×C₇	1	2	yes	complemented
539	#486	C₂²×C₇	1	2	yes	—
540	#470	C₂²×C₇	1	2	yes	complemented
541	#469	C₂²×C₇	1	2	yes	—
542	#468	C₂²×C₇	1	2	yes	—
543	#468	C₂²×C₇	1	2	yes	—
544	#468	C₂²×C₇	1	2	yes	—
545	#468	C₂²×C₇	1	2	yes	complemented
546	#468	C₂²×C₇	1	2	yes	complemented
547	#468	C₂²×C₇	1	2	yes	complemented
548	#467	C₂²×C₇	1	2	yes	complemented
549	#467	C₂²×C₇	1	2	yes	complemented
550	#466	C₂²×C₇	1	2	yes	—
551	#466	C₂²×C₇	1	2	yes	complemented
552	#465	C₂²×C₇	1	2	yes	—
553	#465	C₂²×C₇	1	2	yes	—
554	#465	C₂²×C₇	1	2	yes	—
555	#465	C₂²×C₇	1	2	yes	complemented
556	#442	C₂²×C₇	1	2	yes	—
557	#442	C₂²×C₇	1	1	yes	characteristic, complemented
558	#442	C₂²×C₇	1	1	yes	characteristic, complemented
559	#441	C₂²×C₇	1	1	yes	characteristic, complemented
560	#441	C₂²×C₇	1	1	yes	characteristic, complemented
561	#441	C₂²×C₇	1	2	yes	complemented
562	#440	C₂²×C₇	1	2	yes	—
563	#440	C₂²×C₇	1	2	yes	—
564	#440	C₂²×C₇	1	2	yes	—
565	#440	C₂²×C₇	1	2	yes	—
566	#440	C₂²×C₇	1	2	yes	—
567	#440	C₂²×C₇	1	1	yes	characteristic, complemented
568	#440	C₂²×C₇	1	1	yes	characteristic, complemented
569	#440	C₂²×C₇	1	2	yes	complemented
570	#440	C₂²×C₇	1	1	yes	characteristic, complemented
571	#440	C₂²×C₇	1	1	yes	characteristic, complemented
572	C₄×Q₁₆	C₂²×C₇	1	2	yes	complemented
573	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
574	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
575	C₄×D₈	C₂²×C₇	1	2	yes	—
576	#428	C₂²×C₇	1	1	yes	characteristic
577	#428	C₂²×C₇	1	1	yes	characteristic
578	#427	C₂²×C₇	1	1	yes	characteristic
579	C₂×#107	C₂²×C₇	1	1	yes	characteristic
580	#419	C₂²×C₇	1	1	yes	characteristic
581	#418	C₂²×C₇	1	1	yes	characteristic
582	#417	C₂²×C₇	1	1	yes	characteristic
583	#417	C₂²×C₇	1	1	yes	characteristic
584	#416	C₂²×C₇	1	1	yes	characteristic
585	#416	C₂²×C₇	1	1	yes	characteristic
586	C₂×#103	C₂²×C₇	1	1	yes	characteristic
587	C₂×#102	C₂²×C₇	1	1	yes	characteristic
588	#405	C₂²×C₇	1	1	yes	characteristic
589	#405	C₂²×C₇	1	1	yes	characteristic
590	#405	C₂²×C₇	1	2	yes	complemented
591	#405	C₂²×C₇	1	2	yes	complemented
592	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic
593	C₄×M₁₆	C₂²×C₇	1	2	yes	complemented
594	C₂×#97	C₂²×C₇	1	1	yes	characteristic
595	C₂×#97	C₂²×C₇	1	2	yes	complemented
596	C₂³×C₇	—	2	1	no	—
597	C₂³×C₇	—	2	2	no	—
598	C₂³×C₇	—	2	1	no	—
599	C₂³×C₇	—	4	2	no	—
600	C₂³×C₇	—	8	1	no	—
601	C₂³×C₇	—	8	1	no	—
602	C₂³×C₇	C₂²×D₄	1	2	yes	—
603	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
604	C₇×Q₈	—	2	2	no	—
605	C₇×Q₈	—	2	2	no	—
606	C₇×Q₈	—	2	1	no	—
607	C₇×Q₈	—	2	2	no	—
608	C₇×Q₈	—	2	1	no	—
609	C₇×Q₈	—	2	1	no	—
610	C₇×Q₈	—	2	1	no	—
611	C₇×Q₈	—	4	2	no	—
612	C₇×Q₈	—	8	2	no	—
613	C₇×Q₈	—	8	2	no	—
614	C₇×D₄	—	2	4	no	—
615	C₇×D₄	—	2	2	no	—
616	C₇×D₄	—	2	1	no	—
617	C₇×D₄	—	2	2	no	—
618	C₇×D₄	—	2	1	no	—
619	C₇×D₄	—	2	1	no	—
620	C₇×D₄	—	2	2	no	—
621	C₇×D₄	—	2	1	no	—
622	C₇×D₄	—	4	2	no	—
623	C₇×D₄	—	4	2	no	—
624	C₇×D₄	—	4	2	no	—
625	C₇×D₄	—	8	2	no	—
626	C₇×D₄	—	8	2	no	—
627	C₇×D₄	—	8	2	no	—
628	C₇×D₄	—	8	2	no	—
629	C₇×D₄	—	8	2	no	—
630	C₇×D₄	—	8	2	no	—
631	C₂×C₄×C₇	—	2	2	no	—
632	C₂×C₄×C₇	—	2	2	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	—	2	1	no	—
637	C₂×C₄×C₇	—	2	1	no	—
638	C₂×C₄×C₇	—	2	1	no	—
639	C₂×C₄×C₇	—	2	1	no	—
640	C₂×C₄×C₇	—	2	2	no	—
641	C₂×C₄×C₇	—	2	2	no	—
642	C₂×C₄×C₇	—	4	1	no	—
643	C₂×C₄×C₇	—	4	1	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	2	no	—
649	C₂×C₄×C₇	—	4	2	no	—
650	C₂×C₄×C₇	—	4	2	no	—
651	C₂×C₄×C₇	—	4	2	no	—
652	C₂×C₄×C₇	—	8	1	no	—
653	C₂×C₄×C₇	—	8	1	no	—
654	C₂×C₄×C₇	—	8	2	no	—
655	C₂×C₄×C₇	—	8	1	no	—
656	C₂×C₄×C₇	—	8	1	no	—
657	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
658	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
659	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
660	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
661	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
662	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
663	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
664	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
665	C₂×C₄×C₇	C₂×#41	1	2	yes	—
666	C₂×C₄×C₇	C₂×#41	1	2	yes	—
667	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
668	C₇×C₈	—	2	1	no	—
669	C₇×C₈	—	2	1	no	—
670	C₇×C₈	—	2	2	no	—
671	C₇×C₈	C₂×#41	1	2	yes	—
672	C₇×C₈	C₂×#41	1	4	yes	—
673	C₇×C₈	C₂×#41	1	2	yes	—
674	C₂×#41	—	2	2	no	—
675	C₂×#41	C₂³×C₇	1	1	yes	characteristic
676	C₂×#41	C₂³×C₇	1	1	yes	characteristic
677	C₂×#41	C₂³×C₇	1	1	yes	characteristic
678	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
679	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
680	C₂³×C₄	—	2	1	no	—
681	#137	—	2	4	no	—
682	AGL(1,ℤ/8)	—	2	4	no	—
683	#135	—	2	4	no	—
684	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
685	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
686	C₂×SD₁₆	—	2	4	no	—
687	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
688	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
689	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
690	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
691	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
692	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
693	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
694	C₂×D₈	C₂³×C₇	1	2	yes	—
695	#131	—	2	4	no	—
696	#131	—	2	4	no	—
697	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
698	C₂×M₁₆	C₂³×C₇	1	2	yes	—
699	C₂×M₁₆	C₂³×C₇	1	2	yes	—
700	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
701	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
702	C₂²×C₈	C₂³×C₇	1	2	yes	—
703	C₂²×C₈	C₂³×C₇	1	2	yes	—
704	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
705	C₄⋊Q₈	—	2	1	no	—
706	C₄⋊Q₈	—	2	1	no	—
707	C₄⋊Q₈	—	2	1	no	—
708	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
709	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
710	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
711	#127	—	2	1	no	—
712	#127	C₂³×C₇	1	2	yes	—
713	#126	—	2	2	no	—
714	#126	—	2	2	no	—
715	#126	—	2	2	no	—
716	#126	—	2	2	no	—
717	#126	—	2	2	no	—
718	#126	—	2	2	no	—
719	#125	—	2	1	no	—
720	#125	—	2	2	no	—
721	#125	—	2	1	no	—
722	#125	—	2	2	no	—
723	#125	—	2	2	no	—
724	#125	C₂³×C₇	1	2	yes	—
725	#125	C₂³×C₇	1	2	yes	—
726	#124	—	2	1	no	—
727	#124	—	2	1	no	—
728	#124	—	2	2	no	—
729	#124	—	2	2	no	—
730	#124	—	2	2	no	—
731	#124	C₂³×C₇	1	2	yes	—
732	#124	C₂³×C₇	1	2	yes	—
733	#123	—	2	2	no	—
734	#123	—	2	2	no	—
735	#123	—	2	2	no	—
736	#123	—	2	2	no	—
737	#123	—	2	2	no	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	C₂²⋊Q₈	—	2	1	no	—
742	C₂²⋊Q₈	—	2	1	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	1	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
751	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
752	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
753	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
754	#121	—	2	2	no	—
755	#121	—	2	2	no	—
756	#121	—	2	1	no	—
757	#121	—	2	1	no	—
758	#121	—	2	2	no	—
759	#121	—	2	1	no	—
760	#121	—	2	1	no	—
761	#121	—	2	2	no	—
762	#121	—	2	2	no	—
763	#121	C₂³×C₇	1	2	yes	—
764	#121	C₂³×C₇	1	2	yes	—
765	#121	C₂³×C₇	1	2	yes	—
766	#121	C₂³×C₇	1	2	yes	—
767	#120	—	2	2	no	—
768	#120	—	2	2	no	—
769	C₄×Q₈	—	2	1	no	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	—	2	2	no	—
772	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
773	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
774	C₄×Q₈	C₂³×C₇	1	2	yes	—
775	C₄×Q₈	C₂³×C₇	1	2	yes	—
776	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
777	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
778	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
779	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
780	C₄×D₄	—	2	1	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	2	no	—
785	C₄×D₄	—	2	2	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	2	no	—
789	C₄×D₄	C₇×D₄	1	2	yes	—
790	C₄×D₄	C₇×D₄	1	2	yes	—
791	C₄×D₄	C₇×D₄	1	1	yes	characteristic
792	C₄×D₄	C₇×D₄	1	1	yes	characteristic
793	C₄×D₄	C₂³×C₇	1	2	yes	—
794	C₄×D₄	C₂³×C₇	1	2	yes	—
795	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
796	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
797	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
798	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
799	#117	—	2	2	no	—
800	#117	—	2	1	no	—
801	#117	—	2	1	no	—
802	#117	—	2	2	no	—
803	#117	—	2	2	no	—
804	#117	C₂³×C₇	1	1	yes	characteristic
805	#117	C₂³×C₇	1	1	yes	characteristic
806	#117	C₂³×C₇	1	1	yes	characteristic
807	#117	C₂³×C₇	1	2	yes	—
808	C₂×C₄⋊C₄	—	2	1	no	—
809	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	—	2	1	no	—
812	C₂×C₄²	—	2	1	no	—
813	C₂×C₄²	—	2	1	no	—
814	C₂×C₄²	—	2	1	no	—
815	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
816	C₂×C₄²	C₂³×C₇	1	2	yes	—
817	#107	C₂³×C₇	1	2	yes	—
818	#107	C₂³×C₇	1	2	yes	—
819	#107	C₂³×C₇	1	1	yes	characteristic
820	#107	C₂³×C₇	1	1	yes	characteristic
821	#107	C₂³×C₇	1	2	yes	—
822	#107	C₂³×C₇	1	2	yes	—
823	#106	C₂³×C₇	1	1	yes	characteristic
824	#106	C₂³×C₇	1	1	yes	characteristic
825	#106	C₂³×C₇	1	2	yes	—
826	#106	C₂³×C₇	1	2	yes	—
827	#103	C₂³×C₇	1	2	yes	—
828	#103	C₂³×C₇	1	2	yes	—
829	#103	C₂³×C₇	1	1	yes	characteristic
830	#103	C₂³×C₇	1	1	yes	characteristic
831	#103	C₂³×C₇	1	1	yes	characteristic
832	#103	C₂³×C₇	1	1	yes	characteristic
833	#103	C₂³×C₇	1	2	yes	—
834	#103	C₂³×C₇	1	2	yes	—
835	#103	C₂³×C₇	1	2	yes	—
836	#103	C₂³×C₇	1	2	yes	—
837	#102	C₂³×C₇	1	2	yes	—
838	#102	C₂³×C₇	1	2	yes	—
839	#102	C₂³×C₇	1	1	yes	characteristic
840	#102	C₂³×C₇	1	1	yes	characteristic
841	#102	C₂³×C₇	1	1	yes	characteristic
842	#102	C₂³×C₇	1	1	yes	characteristic
843	#102	C₂³×C₇	1	2	yes	—
844	#102	C₂³×C₇	1	2	yes	—
845	#102	C₂³×C₇	1	2	yes	—
846	#102	C₂³×C₇	1	2	yes	—
847	#97	C₂³×C₇	1	1	yes	characteristic
848	#97	C₂³×C₇	1	1	yes	characteristic
849	#97	C₂³×C₇	1	1	yes	characteristic
850	#97	C₂³×C₇	1	1	yes	characteristic
851	#97	C₂³×C₇	1	2	yes	—
852	#97	C₂³×C₇	1	2	yes	—
853	#97	C₂³×C₇	1	2	yes	—
854	C₄×C₈	C₂³×C₇	1	2	yes	—
855	C₄×C₈	C₂³×C₇	1	2	yes	—
856	C₄×C₈	C₂³×C₇	1	2	yes	—
857	C₂²×C₇	—	2	1	no	—
858	C₂²×C₇	—	2	1	no	—
859	C₂²×C₇	—	2	2	no	—
860	C₂²×C₇	—	2	2	no	—
861	C₂²×C₇	—	2	2	no	—
862	C₂²×C₇	—	4	2	no	—
863	C₂²×C₇	—	4	1	no	—
864	C₂²×C₇	—	4	1	no	—
865	C₂²×C₇	—	4	1	no	—
866	C₂²×C₇	—	4	1	no	—
867	C₂²×C₇	—	4	2	no	—
868	C₂²×C₇	—	4	1	no	—
869	C₂²×C₇	—	4	1	no	—
870	C₂²×C₇	—	4	2	no	—
871	C₂²×C₇	—	8	4	no	—
872	C₂²×C₇	#532	1	2	yes	—
873	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
874	C₄×C₇	—	2	1	no	—
875	C₄×C₇	—	2	1	no	—
876	C₄×C₇	—	2	2	no	—
877	C₄×C₇	—	2	1	no	—
878	C₄×C₇	—	2	1	no	—
879	C₄×C₇	—	2	2	no	—
880	C₄×C₇	—	2	2	no	—
881	C₄×C₇	—	4	2	no	—
882	C₄×C₇	—	4	1	no	—
883	C₄×C₇	—	4	2	no	—
884	C₄×C₇	—	4	1	no	—
885	C₄×C₇	—	4	1	no	—
886	C₄×C₇	—	4	1	no	—
887	C₄×C₇	—	4	1	no	—
888	C₄×C₇	—	4	1	no	—
889	C₄×C₇	—	4	2	no	—
890	C₄×C₇	#532	1	2	yes	—
891	C₄×C₇	C₂²×#41	1	1	yes	characteristic
892	C₄×C₇	C₂²×#41	1	1	yes	characteristic
893	C₂⁴	—	2	1	no	—
894	#41	—	2	2	no	—
895	#41	—	2	2	no	—
896	#41	—	2	2	no	—
897	#41	—	2	2	no	—
898	#41	—	2	2	no	—
899	#41	—	2	2	no	—
900	#41	—	8	4	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	2	no	—
903	C₂×Q₈	—	2	2	no	—
904	C₂×Q₈	—	2	2	no	—
905	C₂×Q₈	—	2	2	no	—
906	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
907	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
908	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
909	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	2	1	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
922	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
923	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
924	C₂×D₄	C₂⁴×C₇	1	2	yes	—
925	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	1	no	—
930	C₂²×C₄	—	2	1	no	—
931	C₂²×C₄	—	2	1	no	—
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	8	2	no	—
938	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
939	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
940	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
941	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
942	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
943	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
944	Q₁₆	—	2	2	no	—
945	Q₁₆	—	2	4	no	—
946	SD₁₆	—	2	4	no	—
947	SD₁₆	—	2	4	no	—
948	SD₁₆	—	2	2	no	—
949	SD₁₆	—	2	2	no	—
950	SD₁₆	—	2	4	no	—
951	SD₁₆	—	2	4	no	—
952	D₈	—	2	2	no	—
953	D₈	—	2	4	no	—
954	M₁₆	—	2	2	no	—
955	M₁₆	—	2	4	no	—
956	M₁₆	—	2	4	no	—
957	M₁₆	C₇×#41	1	4	yes	complemented
958	C₂×C₈	—	2	2	no	—
959	C₂×C₈	—	2	4	no	—
960	C₂×C₈	—	2	4	no	—
961	C₂×C₈	C₇×#41	1	4	yes	complemented
962	C₂×C₈	C₂⁴×C₇	1	2	yes	—
963	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
964	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
965	C₂×C₈	C₂⁴×C₇	1	2	yes	—
966	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
967	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
989	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
990	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
991	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
992	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
993	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
994	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
996	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
997	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	1	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	—	2	1	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	1	no	—
1009	C₂²⋊C₄	—	2	1	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1019	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1020	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	2	no	—
1023	C₄²	—	2	1	no	—
1024	C₄²	—	2	1	no	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	1	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	—	2	2	no	—
1029	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1030	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1031	C₄²	C₂×C₇×D₄	1	2	yes	—
1032	C₄²	C₂×C₇×D₄	1	2	yes	—
1033	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1034	C₄²	C₂⁴×C₇	1	2	yes	—
1035	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1036	C₂×C₇	—	2	2	no	—
1037	C₂×C₇	—	4	2	no	—
1038	C₂×C₇	—	8	1	no	—
1039	C₂×C₇	—	8	1	no	—
1040	C₂×C₇	—	8	2	no	—
1041	C₂×C₇	C₂×#532	1	1	yes	characteristic
1042	C₂×C₇	#3585	1	1	yes	characteristic
1043	C₂×C₇	#3586	1	1	yes	characteristic
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	2	1	no	—
1047	C₂³	—	4	2	no	—
1048	C₂³	—	8	1	no	—
1049	C₂³	—	8	1	no	—
1050	C₂³	C₂²×C₇×D₄	1	2	yes	—
1051	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1052	Q₈	—	2	2	no	—
1053	Q₈	—	2	2	no	—
1054	Q₈	—	2	1	no	—
1055	Q₈	—	2	2	no	—
1056	Q₈	—	2	1	no	—
1057	Q₈	—	2	1	no	—
1058	Q₈	—	2	1	no	—
1059	Q₈	—	4	2	no	—
1060	Q₈	—	8	2	no	—
1061	Q₈	—	8	2	no	—
1062	D₄	—	2	4	no	—
1063	D₄	—	2	1	no	—
1064	D₄	—	2	2	no	—
1065	D₄	—	2	1	no	—
1066	D₄	—	2	1	no	—
1067	D₄	—	2	2	no	—
1068	D₄	—	2	1	no	—
1069	D₄	—	2	2	no	—
1070	D₄	—	4	2	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	2	no	—
1073	D₄	—	8	2	no	—
1074	D₄	—	8	2	no	—
1075	D₄	—	8	2	no	—
1076	D₄	—	8	2	no	—
1077	D₄	—	8	2	no	—
1078	D₄	—	8	2	no	—
1079	C₂×C₄	—	2	2	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	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	4	1	no	—
1091	C₂×C₄	—	4	1	no	—
1092	C₂×C₄	—	4	2	no	—
1093	C₂×C₄	—	4	2	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	4	4	no	—
1096	C₂×C₄	—	4	2	no	—
1097	C₂×C₄	—	4	2	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	4	2	no	—
1100	C₂×C₄	—	8	1	no	—
1101	C₂×C₄	—	8	1	no	—
1102	C₂×C₄	—	8	2	no	—
1103	C₂×C₄	—	8	1	no	—
1104	C₂×C₄	—	8	1	no	—
1105	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1106	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1107	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1108	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1109	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1110	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1111	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1112	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1113	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1114	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1115	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1116	C₈	—	2	1	no	—
1117	C₈	—	2	1	no	—
1118	C₈	—	2	2	no	—
1119	C₈	C₂×C₇×#41	1	2	yes	—
1120	C₈	C₂×C₇×#41	1	4	yes	—
1121	C₈	C₂×C₇×#41	1	2	yes	—
1122	C₇	#60697	1	1	yes	characteristic, direct product factor, Sylow
1123	C₂²	—	2	1	no	—
1124	C₂²	—	2	1	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	2	2	no	—
1128	C₂²	—	4	2	no	—
1129	C₂²	—	4	1	no	—
1130	C₂²	—	4	1	no	—
1131	C₂²	—	4	1	no	—
1132	C₂²	—	4	1	no	—
1133	C₂²	—	4	2	no	—
1134	C₂²	—	4	1	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	2	no	—
1137	C₂²	—	8	4	no	—
1138	C₂²	C₇×#532	1	2	yes	—
1139	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1140	C₄	—	2	1	no	—
1141	C₄	—	2	1	no	—
1142	C₄	—	2	2	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	2	2	no	—
1146	C₄	—	2	2	no	—
1147	C₄	—	4	2	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	2	no	—
1150	C₄	—	4	1	no	—
1151	C₄	—	4	1	no	—
1152	C₄	—	4	1	no	—
1153	C₄	—	4	1	no	—
1154	C₄	—	4	1	no	—
1155	C₄	—	4	2	no	—
1156	C₄	C₇×#532	1	2	yes	—
1157	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1158	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1159	C₂	—	2	2	no	—
1160	C₂	—	4	2	no	—
1161	C₂	—	8	2	no	—
1162	C₂	—	8	1	no	—
1163	C₂	—	8	1	no	—
1164	C₂	C₂×C₇×#532	1	1	yes	characteristic
1165	C₂	C₇×#3585	1	1	yes	characteristic
1166	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 ◁ C₄×C₇×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3461	C₂	semidirect
2. C₇×#3460	C₂	semidirect
3. C₇×#3183	C₂	semidirect
4. C₇×#3182	C₂	semidirect
5. C₇×#3181	C₂	semidirect
6. C₇×#3180	C₂	semidirect
7. C₇×#3179	C₂	semidirect
8. C₇×#3178	C₂	semidirect
9. C₇×#3175	C₂	semidirect
10. C₇×#3174	C₂	semidirect
11. C₇×#3164	C₂	semidirect
12. C₇×#3154	C₂	semidirect
13. C₇×#3137	C₂	semidirect
14. C₇×#3136	C₂	semidirect
15. C₇×#3063	C₂	semidirect
16. C₇×#3062	C₂	semidirect
17. C₇×#3061	C₂	semidirect
18. C₇×#3057	C₂	semidirect
19. C₄×C₇×#137	C₂	semidirect
20. C₄×C₇×AGL(1,ℤ/8)	C₂	semidirect
21. C₇×#2943	C₂	semidirect
22. C₂×C₇×#440	C₂	semidirect
23. C₇×#2875	C₂	semidirect
35. C₇×#542	C₂²	semidirect
37. C₇×#541	C₂²	semidirect
49. C₇×#533	C₂²	semidirect
56. C₇×#529	C₂²	semidirect
63. C₇×#501	C₂²	semidirect
64. C₇×#501	C₂²	semidirect
65. C₇×#500	C₂²	semidirect
66. C₇×#499	C₂²	semidirect
71. C₇×#491	C₂²	semidirect
74. C₇×#489	C₂²	semidirect
76. C₇×#488	C₂²	semidirect
77. C₇×#487	C₂²	semidirect
79. C₇×#470	C₂²	semidirect
84. C₇×#468	C₂²	semidirect
85. C₇×#468	C₂²	semidirect
86. C₇×#468	C₂²	semidirect
87. C₇×#467	C₂²	semidirect
88. C₇×#467	C₂²	semidirect
90. C₇×#466	C₂²	semidirect
94. C₇×#465	C₂²	semidirect
96. C₇×#442	C₂²	semidirect
97. C₇×#442	C₂²	semidirect
98. C₇×#441	C₂²	semidirect
99. C₇×#441	C₂²	semidirect
100. C₇×#441	C₂²	semidirect
106. C₇×#440	C₂²	semidirect
107. C₇×#440	C₂²	semidirect
108. C₇×#440	C₂²	semidirect
109. C₇×#440	C₂²	semidirect
110. C₇×#440	C₂²	semidirect
111. C₄×C₇×Q₁₆	C₂²	semidirect
113. C₄×C₇×SD₁₆	C₂²	semidirect
129. C₇×#405	C₂²	semidirect
130. C₇×#405	C₂²	semidirect
132. C₄×C₇×M₁₆	C₂²	semidirect
134. C₂×C₇×#97	C₂²	semidirect
135. #60697	C₇	direct (N × H)
319. #3461	C₂×C₇	semidirect
320. #3460	C₂×C₇	semidirect
321. #3183	C₂×C₇	semidirect
322. #3182	C₂×C₇	semidirect
323. #3181	C₂×C₇	semidirect
324. #3180	C₂×C₇	semidirect
325. #3179	C₂×C₇	semidirect
326. #3178	C₂×C₇	semidirect
327. #3175	C₂×C₇	semidirect
328. #3174	C₂×C₇	semidirect
329. #3164	C₂×C₇	semidirect
330. #3154	C₂×C₇	semidirect
331. #3137	C₂×C₇	semidirect
332. #3136	C₂×C₇	semidirect
333. #3063	C₂×C₇	semidirect
334. #3062	C₂×C₇	semidirect
335. #3061	C₂×C₇	semidirect
336. #3057	C₂×C₇	semidirect
337. C₄×#137	C₂×C₇	semidirect
338. C₄×AGL(1,ℤ/8)	C₂×C₇	semidirect
339. #2943	C₂×C₇	semidirect
340. C₂×#440	C₂×C₇	semidirect
341. #2875	C₂×C₇	semidirect
406. C₇×M₁₆	#41	semidirect
410. C₂×C₇×C₈	#41	semidirect
496. #542	C₂²×C₇	semidirect
498. #541	C₂²×C₇	semidirect
510. #533	C₂²×C₇	semidirect
517. #529	C₂²×C₇	semidirect
524. #501	C₂²×C₇	semidirect
525. #501	C₂²×C₇	semidirect
526. #500	C₂²×C₇	semidirect
527. #499	C₂²×C₇	semidirect
532. #491	C₂²×C₇	semidirect
535. #489	C₂²×C₇	semidirect
537. #488	C₂²×C₇	semidirect
538. #487	C₂²×C₇	semidirect
540. #470	C₂²×C₇	semidirect
545. #468	C₂²×C₇	semidirect
546. #468	C₂²×C₇	semidirect
547. #468	C₂²×C₇	semidirect
548. #467	C₂²×C₇	semidirect
549. #467	C₂²×C₇	semidirect
551. #466	C₂²×C₇	semidirect
555. #465	C₂²×C₇	semidirect
557. #442	C₂²×C₇	semidirect
558. #442	C₂²×C₇	semidirect
559. #441	C₂²×C₇	semidirect
560. #441	C₂²×C₇	semidirect
561. #441	C₂²×C₇	semidirect
567. #440	C₂²×C₇	semidirect
568. #440	C₂²×C₇	semidirect
569. #440	C₂²×C₇	semidirect
570. #440	C₂²×C₇	semidirect
571. #440	C₂²×C₇	semidirect
572. C₄×Q₁₆	C₂²×C₇	semidirect
574. C₄×SD₁₆	C₂²×C₇	semidirect
590. #405	C₂²×C₇	semidirect
591. #405	C₂²×C₇	semidirect
593. C₄×M₁₆	C₂²×C₇	semidirect
595. C₂×#97	C₂²×C₇	semidirect
957. M₁₆	C₇×#41	semidirect
961. C₂×C₈	C₇×#41	semidirect
1122. C₇	#60697	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×#3461	2
C₇×#3460	2
C₇×#3183	2
C₇×#3182	2
C₇×#3181	2
C₇×#3180	2
C₇×#3179	2
C₇×#3178	2
C₇×#3175	2
C₇×#3174	2
C₇×#3164	2
C₇×#3154	2
C₇×#3137	2
C₇×#3136	2
C₇×#3063	2
C₇×#3062	2
C₇×#3061	2
C₇×#3057	2
C₄×C₇×#137	2
C₄×C₇×AGL(1,ℤ/8)	2
C₇×#2943	2
C₂×C₇×#440	2
C₇×#2875	2
#60697	7

Subgroups — C7×#60697 #13237913

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60697 #13237913