Subgroups — C₂×C₇×#3536 #13239939

Order 1792.

7962 conjugacy classes of subgroups.

The subgroup lattice has 904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3536	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₇×#562	C₂	1	4	yes	maximal, complemented
3	C₂×C₇×#554	C₂	1	2	yes	maximal, complemented
4	C₂×C₇×#548	C₂	1	2	yes	maximal, complemented
5	C₂×C₇×#547	C₂	1	2	yes	maximal, complemented
6	C₂×C₇×#546	C₂	1	4	yes	maximal, complemented
7	C₂×C₇×#546	C₂	1	2	yes	maximal, complemented
8	C₂×C₇×#543	C₂	1	2	yes	maximal, complemented
9	C₂×C₇×#542	C₂	1	2	yes	maximal, complemented
10	C₂×C₇×#539	C₂	1	2	yes	maximal, complemented
11	C₂×C₇×#538	C₂	1	2	yes	maximal, complemented
12	C₂×C₇×#537	C₂	1	2	yes	maximal, complemented
13	C₂×C₇×#537	C₂	1	2	yes	maximal, complemented
14	C₂×C₇×#525	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂²×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
18	C₂²×C₇×#41	C₂²	1	4	yes	complemented
19	C₂²×C₇×#41	C₂²	1	2	yes	complemented
20	C₂³×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
21	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
22	C₂³×C₇×D₄	C₂²	1	2	yes	—
23	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic
24	C₇×#562	C₂²	1	64	yes	complemented
25	C₇×#554	C₂²	1	32	yes	complemented
26	C₇×#548	C₂²	1	32	yes	complemented
27	C₇×#547	C₂²	1	32	yes	complemented
28	C₇×#546	C₂²	1	64	yes	complemented
29	C₇×#546	C₂²	1	32	yes	complemented
30	C₇×#543	C₂²	1	32	yes	complemented
31	C₇×#542	C₂²	1	32	yes	complemented
32	C₇×#539	C₂²	1	32	yes	complemented
33	C₇×#538	C₂²	1	32	yes	complemented
34	C₇×#537	C₂²	1	32	yes	complemented
35	C₇×#537	C₂²	1	32	yes	complemented
36	C₂×C₇×C₄⋊Q₈	C₂²	1	2	yes	complemented
37	C₂×C₇×#126	C₂²	1	4	yes	complemented
38	C₂×C₇×#125	C₂²	1	4	yes	complemented
39	C₂×C₇×#124	C₂²	1	4	yes	complemented
40	C₂×C₇×#124	C₂²	1	2	yes	complemented
41	C₂×C₇×#124	C₂²	1	4	yes	complemented
42	C₇×#525	C₂²	1	16	yes	complemented
43	C₂×C₇×#123	C₂²	1	2	yes	complemented
44	C₂×C₇×#123	C₂²	1	4	yes	complemented
45	C₂×C₇×#123	C₂²	1	4	yes	complemented
46	C₂×C₇×#123	C₂²	1	4	yes	complemented
47	C₂×C₇×#123	C₂²	1	4	yes	complemented
48	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
49	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
50	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
51	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	—
52	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
53	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
54	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
56	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
57	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
58	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
59	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
60	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
61	C₂×C₇×C₂²⋊Q₈	C₂²	1	16	yes	complemented
62	C₂×C₇×#121	C₂²	1	2	yes	—
63	C₂×C₇×#121	C₂²	1	2	yes	—
64	C₂×C₇×#121	C₂²	1	2	yes	—
65	C₂×C₇×#121	C₂²	1	2	yes	—
66	C₂×C₇×#121	C₂²	1	1	yes	characteristic
67	C₂×C₇×#121	C₂²	1	16	yes	complemented
68	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₇×#121	C₂²	1	4	yes	complemented
70	C₂×C₇×#121	C₂²	1	2	yes	complemented
71	C₂×C₇×#121	C₂²	1	4	yes	complemented
72	C₂×C₇×#121	C₂²	1	4	yes	complemented
73	C₂×C₇×#121	C₂²	1	4	yes	complemented
74	C₂×C₇×#121	C₂²	1	4	yes	complemented
75	C₂×C₇×#120	C₂²	1	2	yes	—
76	C₂×C₇×#120	C₂²	1	4	yes	—
77	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
78	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
79	C₂×C₄×C₇×D₄	C₂²	1	4	yes	—
80	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
81	C₂×C₄×C₇×D₄	C₂²	1	4	yes	complemented
82	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
83	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
84	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
85	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
86	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
87	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
88	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
89	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
90	C₂²×C₇×C₂²⋊C₄	C₂²	1	4	yes	—
91	C₂×#3536	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
92	C₂⁵×C₇	C₂³	1	1	yes	characteristic
93	C₂⁵×C₇	C₂³	1	2	yes	—
94	C₂×C₇×#41	—	4	4	no	—
95	C₂×C₇×#41	—	4	16	no	—
96	C₂×C₇×#41	—	4	8	no	—
97	C₂×C₇×#41	C₂³	1	8	yes	complemented
98	C₂×C₇×#41	C₂³	1	32	yes	complemented
99	C₂×C₇×#41	C₂³	1	16	yes	complemented
100	C₂²×C₇×Q₈	—	4	4	no	—
101	C₂²×C₇×Q₈	C₂³	1	2	yes	—
102	C₂²×C₇×Q₈	C₂³	1	2	yes	—
103	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
104	C₂²×C₇×Q₈	C₂³	1	4	yes	—
105	C₂²×C₇×Q₈	C₂³	1	8	yes	complemented
106	C₂²×C₇×D₄	—	4	4	no	—
107	C₂²×C₇×D₄	—	4	8	no	—
108	C₂²×C₇×D₄	C₂³	1	4	yes	—
109	C₂²×C₇×D₄	C₂³	1	2	yes	—
110	C₂²×C₇×D₄	C₂³	1	2	yes	—
111	C₂²×C₇×D₄	C₂³	1	2	yes	—
112	C₂²×C₇×D₄	C₂³	1	2	yes	—
113	C₂²×C₇×D₄	C₂³	1	4	yes	—
114	C₂²×C₇×D₄	C₂³	1	8	yes	—
115	C₂²×C₇×D₄	C₂³	1	16	yes	—
116	C₂²×C₇×D₄	C₂³	1	2	yes	—
117	C₂²×C₇×D₄	C₂³	1	4	yes	—
118	C₂²×C₇×D₄	C₂³	1	4	yes	—
119	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
120	C₂³×C₄×C₇	—	4	4	no	—
121	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
122	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
123	C₂³×C₄×C₇	C₂³	1	2	yes	—
124	C₂³×C₄×C₇	C₂³	1	2	yes	—
125	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₇	C₂³	1	2	yes	—
127	C₂³×C₄×C₇	C₂³	1	2	yes	—
128	C₂³×C₄×C₇	C₂³	1	4	yes	—
129	C₂³×C₄×C₇	C₂³	1	4	yes	—
130	C₂³×C₄×C₇	C₂³	1	4	yes	—
131	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₇	C₂³	1	8	yes	—
135	C₇×C₄⋊Q₈	C₂³	1	16	yes	complemented
136	C₇×#126	C₂³	1	32	yes	complemented
137	C₇×#125	C₂³	1	32	yes	complemented
138	C₇×#124	C₂³	1	32	yes	complemented
139	C₇×#124	C₂³	1	16	yes	complemented
140	C₇×#124	C₂³	1	32	yes	complemented
141	C₇×#123	C₂³	1	16	yes	complemented
142	C₇×#123	C₂³	1	32	yes	complemented
143	C₇×#123	C₂³	1	32	yes	complemented
144	C₇×#123	C₂³	1	32	yes	complemented
145	C₇×#123	C₂³	1	32	yes	complemented
146	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
147	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
148	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
149	C₇×C₂²⋊Q₈	C₂³	1	32	yes	—
150	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
151	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
152	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
153	C₇×C₂²⋊Q₈	C₂³	1	32	yes	complemented
154	C₇×C₂²⋊Q₈	C₂³	1	32	yes	complemented
155	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
156	C₇×C₂²⋊Q₈	C₂³	1	32	yes	complemented
157	C₇×C₂²⋊Q₈	C₂³	1	32	yes	complemented
158	C₇×C₂²⋊Q₈	C₂³	1	32	yes	complemented
159	C₇×#121	C₂³	1	16	yes	—
160	C₇×#121	C₂³	1	16	yes	—
161	C₇×#121	C₂³	1	16	yes	—
162	C₇×#121	C₂³	1	16	yes	—
163	C₇×#121	C₂³	1	8	yes	—
164	C₇×#121	C₂³	1	8	yes	complemented
165	C₇×#121	C₂³	1	32	yes	complemented
166	C₇×#121	C₂³	1	16	yes	complemented
167	C₇×#121	C₂³	1	32	yes	complemented
168	C₇×#121	C₂³	1	32	yes	complemented
169	C₇×#121	C₂³	1	32	yes	complemented
170	C₇×#121	C₂³	1	32	yes	complemented
171	C₇×#120	C₂³	1	16	yes	—
172	C₇×#120	C₂³	1	32	yes	—
173	C₄×C₇×Q₈	C₂³	1	16	yes	complemented
174	C₄×C₇×D₄	C₂³	1	16	yes	—
175	C₄×C₇×D₄	C₂³	1	32	yes	—
176	C₄×C₇×D₄	C₂³	1	16	yes	complemented
177	C₄×C₇×D₄	C₂³	1	32	yes	complemented
178	C₄×C₇×D₄	C₂³	1	16	yes	complemented
179	C₇×#117	C₂³	1	8	yes	complemented
180	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
183	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
184	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
185	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
186	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
187	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
188	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
189	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
190	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
191	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
192	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
193	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
194	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
195	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
196	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
197	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
198	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
199	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
201	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
202	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
203	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
204	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
205	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
206	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
207	C₂×C₇×C₂²⋊C₄	C₂³	1	32	yes	—
208	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
211	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
213	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
214	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₄²×C₇	C₂³	1	2	yes	—
216	C₂×C₄²×C₇	C₂³	1	4	yes	—
217	#3536	C₂×C₇	1	32	yes	direct product factor
218	C₂×#562	C₂×C₇	1	4	yes	complemented
219	C₂×#554	C₂×C₇	1	2	yes	complemented
220	C₂×#548	C₂×C₇	1	2	yes	complemented
221	C₂×#547	C₂×C₇	1	2	yes	complemented
222	C₂×#546	C₂×C₇	1	4	yes	complemented
223	C₂×#546	C₂×C₇	1	2	yes	complemented
224	C₂×#543	C₂×C₇	1	2	yes	complemented
225	C₂×#542	C₂×C₇	1	2	yes	complemented
226	C₂×#539	C₂×C₇	1	2	yes	complemented
227	C₂×#538	C₂×C₇	1	2	yes	complemented
228	C₂×#537	C₂×C₇	1	2	yes	complemented
229	C₂×#537	C₂×C₇	1	2	yes	complemented
230	C₂×#525	C₂×C₇	1	1	yes	characteristic, complemented
231	C₂²×C₂²⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
232	C₂²×#121	C₂×C₇	1	1	yes	characteristic, complemented
233	C₂⁴×C₇	—	2	4	no	—
234	C₂⁴×C₇	—	2	4	no	—
235	C₂⁴×C₇	—	2	8	no	—
236	C₂⁴×C₇	—	4	2	no	—
237	C₂⁴×C₇	—	4	4	no	—
238	C₂⁴×C₇	—	4	4	no	—
239	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
240	C₂⁴×C₇	C₂⁴	1	4	yes	—
241	C₂⁴×C₇	C₂⁴	1	2	yes	—
242	C₂⁴×C₇	C₂⁴	1	4	yes	—
243	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
244	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
245	C₂⁴×C₇	C₂⁴	1	8	yes	—
246	C₇×#41	—	4	16	no	—
247	C₇×#41	—	4	64	no	—
248	C₇×#41	—	4	32	no	—
249	C₂×C₇×Q₈	—	2	8	no	—
250	C₂×C₇×Q₈	—	4	4	no	—
251	C₂×C₇×Q₈	—	4	2	no	—
252	C₂×C₇×Q₈	—	4	8	no	—
253	C₂×C₇×Q₈	—	4	16	no	—
254	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
255	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
256	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
257	C₂×C₇×Q₈	C₂⁴	1	16	yes	—
258	C₂×C₇×D₄	—	2	16	no	—
259	C₂×C₇×D₄	—	2	8	no	—
260	C₂×C₇×D₄	—	2	8	no	—
261	C₂×C₇×D₄	—	2	8	no	—
262	C₂×C₇×D₄	—	4	16	no	—
263	C₂×C₇×D₄	—	4	4	no	—
264	C₂×C₇×D₄	—	4	8	no	—
265	C₂×C₇×D₄	—	4	4	no	—
266	C₂×C₇×D₄	—	4	2	no	—
267	C₂×C₇×D₄	—	4	8	no	—
268	C₂×C₇×D₄	—	4	8	no	—
269	C₂×C₇×D₄	—	4	32	no	—
270	C₂×C₇×D₄	C₂⁴	1	8	yes	—
271	C₂×C₇×D₄	C₂⁴	1	8	yes	—
272	C₂×C₇×D₄	C₂⁴	1	16	yes	—
273	C₂×C₇×D₄	C₂⁴	1	8	yes	—
274	C₂×C₇×D₄	C₂⁴	1	8	yes	—
275	C₂×C₇×D₄	C₂⁴	1	16	yes	—
276	C₂×C₇×D₄	C₂⁴	1	16	yes	—
277	C₂×C₇×D₄	C₂⁴	1	8	yes	—
278	C₂×C₇×D₄	C₂⁴	1	16	yes	—
279	C₂×C₇×D₄	C₂⁴	1	4	yes	—
280	C₂²×C₄×C₇	—	2	8	no	—
281	C₂²×C₄×C₇	—	2	4	no	—
282	C₂²×C₄×C₇	—	2	4	no	—
283	C₂²×C₄×C₇	—	2	4	no	—
284	C₂²×C₄×C₇	—	2	8	no	—
285	C₂²×C₄×C₇	—	4	16	no	—
286	C₂²×C₄×C₇	—	4	2	no	—
287	C₂²×C₄×C₇	—	4	2	no	—
288	C₂²×C₄×C₇	—	4	2	no	—
289	C₂²×C₄×C₇	—	4	4	no	—
290	C₂²×C₄×C₇	—	4	4	no	—
291	C₂²×C₄×C₇	—	4	8	no	—
292	C₂²×C₄×C₇	—	4	8	no	—
293	C₂²×C₄×C₇	—	4	8	no	—
294	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
295	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
296	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
297	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
298	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
299	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
302	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
303	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
305	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
306	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
309	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
310	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
311	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
312	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
313	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
314	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
315	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
316	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
317	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
318	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
319	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
320	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
321	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
322	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
323	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
324	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
325	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
326	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
327	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
328	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
329	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
330	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
331	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
332	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
333	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
334	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
335	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
336	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
337	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
338	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
339	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
340	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
341	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
342	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
343	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
344	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
345	C₄²×C₇	C₂⁴	1	8	yes	—
346	C₄²×C₇	C₂⁴	1	16	yes	—
347	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
348	C₂²×#41	C₂²×C₇	1	4	yes	complemented
349	C₂²×#41	C₂²×C₇	1	2	yes	complemented
350	C₂³×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
351	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
352	C₂³×D₄	C₂²×C₇	1	2	yes	—
353	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic
354	#562	C₂²×C₇	1	64	yes	complemented
355	#554	C₂²×C₇	1	32	yes	complemented
356	#548	C₂²×C₇	1	32	yes	complemented
357	#547	C₂²×C₇	1	32	yes	complemented
358	#546	C₂²×C₇	1	64	yes	complemented
359	#546	C₂²×C₇	1	32	yes	complemented
360	#543	C₂²×C₇	1	32	yes	complemented
361	#542	C₂²×C₇	1	32	yes	complemented
362	#539	C₂²×C₇	1	32	yes	complemented
363	#538	C₂²×C₇	1	32	yes	complemented
364	#537	C₂²×C₇	1	32	yes	complemented
365	#537	C₂²×C₇	1	32	yes	complemented
366	C₂×C₄⋊Q₈	C₂²×C₇	1	2	yes	complemented
367	C₂×#126	C₂²×C₇	1	4	yes	complemented
368	C₂×#125	C₂²×C₇	1	4	yes	complemented
369	C₂×#124	C₂²×C₇	1	4	yes	complemented
370	C₂×#124	C₂²×C₇	1	2	yes	complemented
371	C₂×#124	C₂²×C₇	1	4	yes	complemented
372	#525	C₂²×C₇	1	16	yes	complemented
373	C₂×#123	C₂²×C₇	1	2	yes	complemented
374	C₂×#123	C₂²×C₇	1	4	yes	complemented
375	C₂×#123	C₂²×C₇	1	4	yes	complemented
376	C₂×#123	C₂²×C₇	1	4	yes	complemented
377	C₂×#123	C₂²×C₇	1	4	yes	complemented
378	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
379	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
380	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
381	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	—
382	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
383	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
384	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
385	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
386	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
387	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
388	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
389	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
390	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
391	C₂×C₂²⋊Q₈	C₂²×C₇	1	16	yes	complemented
392	C₂×#121	C₂²×C₇	1	2	yes	—
393	C₂×#121	C₂²×C₇	1	2	yes	—
394	C₂×#121	C₂²×C₇	1	2	yes	—
395	C₂×#121	C₂²×C₇	1	2	yes	—
396	C₂×#121	C₂²×C₇	1	1	yes	characteristic
397	C₂×#121	C₂²×C₇	1	16	yes	complemented
398	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
399	C₂×#121	C₂²×C₇	1	4	yes	complemented
400	C₂×#121	C₂²×C₇	1	2	yes	complemented
401	C₂×#121	C₂²×C₇	1	4	yes	complemented
402	C₂×#121	C₂²×C₇	1	4	yes	complemented
403	C₂×#121	C₂²×C₇	1	4	yes	complemented
404	C₂×#121	C₂²×C₇	1	4	yes	complemented
405	C₂×#120	C₂²×C₇	1	2	yes	—
406	C₂×#120	C₂²×C₇	1	4	yes	—
407	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
408	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
409	C₂×C₄×D₄	C₂²×C₇	1	4	yes	—
410	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
411	C₂×C₄×D₄	C₂²×C₇	1	4	yes	complemented
412	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
413	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
414	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
415	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
416	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
417	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
418	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
419	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
420	C₂²×C₂²⋊C₄	C₂²×C₇	1	4	yes	—
421	C₂³×C₇	—	2	2	no	—
422	C₂³×C₇	—	2	2	no	—
423	C₂³×C₇	—	2	2	no	—
424	C₂³×C₇	—	2	2	no	—
425	C₂³×C₇	—	2	2	no	—
426	C₂³×C₇	—	2	4	no	—
427	C₂³×C₇	—	2	4	no	—
428	C₂³×C₇	—	2	8	no	—
429	C₂³×C₇	—	2	8	no	—
430	C₂³×C₇	—	2	8	no	—
431	C₂³×C₇	—	2	2	no	—
432	C₂³×C₇	—	2	4	no	—
433	C₂³×C₇	—	2	8	no	—
434	C₂³×C₇	—	2	2	no	—
435	C₂³×C₇	—	2	8	no	—
436	C₂³×C₇	—	2	16	no	—
437	C₂³×C₇	—	4	4	no	—
438	C₂³×C₇	—	4	8	no	—
439	C₂³×C₇	—	4	8	no	—
440	C₂³×C₇	—	4	16	no	—
441	C₂³×C₇	—	8	16	no	—
442	C₂³×C₇	H(5,𝔽₂)	1	4	yes	—
443	C₂³×C₇	2₋¹⁺⁴	1	4	yes	—
444	C₂³×C₇	C₂⁵	1	2	yes	—
445	C₂³×C₇	C₂⁵	1	8	yes	—
446	C₂³×C₇	C₂⁵	1	4	yes	—
447	C₂³×C₇	C₂⁵	1	2	yes	—
448	C₂³×C₇	C₂⁵	1	2	yes	—
449	C₂³×C₇	C₂⁵	1	1	yes	characteristic
450	C₇×Q₈	—	2	16	no	—
451	C₇×Q₈	—	4	8	no	—
452	C₇×Q₈	—	4	4	no	—
453	C₇×Q₈	—	4	16	no	—
454	C₇×D₄	—	2	32	no	—
455	C₇×D₄	—	2	16	no	—
456	C₇×D₄	—	2	16	no	—
457	C₇×D₄	—	2	16	no	—
458	C₇×D₄	—	4	8	no	—
459	C₇×D₄	—	4	16	no	—
460	C₇×D₄	—	4	8	no	—
461	C₇×D₄	—	4	4	no	—
462	C₇×D₄	—	4	16	no	—
463	C₇×D₄	—	4	16	no	—
464	C₂×C₄×C₇	—	2	2	no	—
465	C₂×C₄×C₇	—	2	8	no	—
466	C₂×C₄×C₇	—	2	2	no	—
467	C₂×C₄×C₇	—	2	4	no	—
468	C₂×C₄×C₇	—	2	2	no	—
469	C₂×C₄×C₇	—	2	16	no	—
470	C₂×C₄×C₇	—	2	8	no	—
471	C₂×C₄×C₇	—	2	4	no	—
472	C₂×C₄×C₇	—	2	8	no	—
473	C₂×C₄×C₇	—	2	4	no	—
474	C₂×C₄×C₇	—	2	8	no	—
475	C₂×C₄×C₇	—	2	8	no	—
476	C₂×C₄×C₇	—	2	8	no	—
477	C₂×C₄×C₇	—	2	16	no	—
478	C₂×C₄×C₇	—	4	4	no	—
479	C₂×C₄×C₇	—	4	4	no	—
480	C₂×C₄×C₇	—	4	4	no	—
481	C₂×C₄×C₇	—	4	8	no	—
482	C₂×C₄×C₇	—	4	8	no	—
483	C₂×C₄×C₇	—	4	16	no	—
484	C₂×C₄×C₇	—	4	16	no	—
485	C₂×C₄×C₇	—	4	16	no	—
486	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
487	C₂×C₄×C₇	C₂⁵	1	4	yes	—
488	C₂×C₄×C₇	C₂⁵	1	4	yes	—
489	C₂×C₄×C₇	C₂⁵	1	8	yes	—
490	C₂×C₄×C₇	C₂⁵	1	8	yes	—
491	C₂×C₄×C₇	C₂⁵	1	2	yes	—
492	C₂×C₄×C₇	C₂⁵	1	4	yes	—
493	C₂×C₄×C₇	C₂⁵	1	8	yes	—
494	C₂×C₄×C₇	C₂⁵	1	2	yes	—
495	C₂×C₄×C₇	C₂⁵	1	2	yes	—
496	C₂×C₄×C₇	C₂⁵	1	2	yes	—
497	C₂⁵	C₂³×C₇	1	1	yes	characteristic
498	C₂⁵	C₂³×C₇	1	2	yes	—
499	C₂×#41	—	4	4	no	—
500	C₂×#41	—	4	16	no	—
501	C₂×#41	—	4	8	no	—
502	C₂×#41	C₂³×C₇	1	8	yes	complemented
503	C₂×#41	C₂³×C₇	1	32	yes	complemented
504	C₂×#41	C₂³×C₇	1	16	yes	complemented
505	C₂²×Q₈	—	4	4	no	—
506	C₂²×Q₈	C₂³×C₇	1	2	yes	—
507	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
508	C₂²×Q₈	C₂³×C₇	1	2	yes	—
509	C₂²×Q₈	C₂³×C₇	1	4	yes	—
510	C₂²×Q₈	C₂³×C₇	1	8	yes	complemented
511	C₂²×D₄	—	4	4	no	—
512	C₂²×D₄	—	4	8	no	—
513	C₂²×D₄	C₂³×C₇	1	2	yes	—
514	C₂²×D₄	C₂³×C₇	1	2	yes	—
515	C₂²×D₄	C₂³×C₇	1	4	yes	—
516	C₂²×D₄	C₂³×C₇	1	2	yes	—
517	C₂²×D₄	C₂³×C₇	1	2	yes	—
518	C₂²×D₄	C₂³×C₇	1	4	yes	—
519	C₂²×D₄	C₂³×C₇	1	4	yes	—
520	C₂²×D₄	C₂³×C₇	1	2	yes	—
521	C₂²×D₄	C₂³×C₇	1	4	yes	—
522	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
523	C₂²×D₄	C₂³×C₇	1	8	yes	—
524	C₂²×D₄	C₂³×C₇	1	16	yes	—
525	C₂³×C₄	—	4	4	no	—
526	C₂³×C₄	C₂³×C₇	1	2	yes	—
527	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
528	C₂³×C₄	C₂³×C₇	1	2	yes	—
529	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
530	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
531	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
532	C₂³×C₄	C₂³×C₇	1	2	yes	—
533	C₂³×C₄	C₂³×C₇	1	2	yes	—
534	C₂³×C₄	C₂³×C₇	1	4	yes	—
535	C₂³×C₄	C₂³×C₇	1	4	yes	—
536	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
537	C₂³×C₄	C₂³×C₇	1	4	yes	—
538	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
539	C₂³×C₄	C₂³×C₇	1	8	yes	—
540	C₄⋊Q₈	C₂³×C₇	1	16	yes	complemented
541	#126	C₂³×C₇	1	32	yes	complemented
542	#125	C₂³×C₇	1	32	yes	complemented
543	#124	C₂³×C₇	1	32	yes	complemented
544	#124	C₂³×C₇	1	16	yes	complemented
545	#124	C₂³×C₇	1	32	yes	complemented
546	#123	C₂³×C₇	1	16	yes	complemented
547	#123	C₂³×C₇	1	32	yes	complemented
548	#123	C₂³×C₇	1	32	yes	complemented
549	#123	C₂³×C₇	1	32	yes	complemented
550	#123	C₂³×C₇	1	32	yes	complemented
551	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
552	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
553	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
554	C₂²⋊Q₈	C₂³×C₇	1	32	yes	—
555	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
556	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
557	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
558	C₂²⋊Q₈	C₂³×C₇	1	32	yes	complemented
559	C₂²⋊Q₈	C₂³×C₇	1	32	yes	complemented
560	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
561	C₂²⋊Q₈	C₂³×C₇	1	32	yes	complemented
562	C₂²⋊Q₈	C₂³×C₇	1	32	yes	complemented
563	C₂²⋊Q₈	C₂³×C₇	1	32	yes	complemented
564	#121	C₂³×C₇	1	16	yes	—
565	#121	C₂³×C₇	1	16	yes	—
566	#121	C₂³×C₇	1	16	yes	—
567	#121	C₂³×C₇	1	16	yes	—
568	#121	C₂³×C₇	1	8	yes	—
569	#121	C₂³×C₇	1	8	yes	complemented
570	#121	C₂³×C₇	1	32	yes	complemented
571	#121	C₂³×C₇	1	16	yes	complemented
572	#121	C₂³×C₇	1	32	yes	complemented
573	#121	C₂³×C₇	1	32	yes	complemented
574	#121	C₂³×C₇	1	32	yes	complemented
575	#121	C₂³×C₇	1	32	yes	complemented
576	#120	C₂³×C₇	1	16	yes	—
577	#120	C₂³×C₇	1	32	yes	—
578	C₄×Q₈	C₂³×C₇	1	16	yes	complemented
579	C₄×D₄	C₂³×C₇	1	16	yes	—
580	C₄×D₄	C₂³×C₇	1	32	yes	—
581	C₄×D₄	C₂³×C₇	1	16	yes	complemented
582	C₄×D₄	C₂³×C₇	1	32	yes	complemented
583	C₄×D₄	C₂³×C₇	1	16	yes	complemented
584	#117	C₂³×C₇	1	8	yes	complemented
585	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
586	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
587	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
588	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
589	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
590	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
591	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
592	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
593	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
594	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
595	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
596	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
597	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
598	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
599	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
600	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
601	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
602	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
603	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
604	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
605	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
606	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
607	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
608	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
609	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
610	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
611	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
612	C₂×C₂²⋊C₄	C₂³×C₇	1	32	yes	—
613	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
614	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
615	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
616	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
617	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
618	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
619	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
620	C₂×C₄²	C₂³×C₇	1	2	yes	—
621	C₂×C₄²	C₂³×C₇	1	4	yes	—
622	C₂²×C₇	—	2	2	no	—
623	C₂²×C₇	—	2	2	no	—
624	C₂²×C₇	—	2	2	no	—
625	C₂²×C₇	—	2	2	no	—
626	C₂²×C₇	—	2	8	no	—
627	C₂²×C₇	—	2	8	no	—
628	C₂²×C₇	—	2	2	no	—
629	C₂²×C₇	—	2	4	no	—
630	C₂²×C₇	—	2	4	no	—
631	C₂²×C₇	—	2	8	no	—
632	C₂²×C₇	—	2	8	no	—
633	C₂²×C₇	—	2	2	no	—
634	C₂²×C₇	—	2	4	no	—
635	C₂²×C₇	—	2	2	no	—
636	C₂²×C₇	—	2	8	no	—
637	C₂²×C₇	—	4	16	no	—
638	C₂²×C₇	—	4	8	no	—
639	C₂²×C₇	—	4	4	no	—
640	C₂²×C₇	—	4	16	no	—
641	C₂²×C₇	—	8	16	no	—
642	C₂²×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
643	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
644	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
645	C₂²×C₇	C₂×2₋¹⁺⁴	1	4	yes	—
646	C₂²×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
647	C₂²×C₇	C₂⁶	1	1	yes	characteristic
648	C₄×C₇	—	2	2	no	—
649	C₄×C₇	—	2	8	no	—
650	C₄×C₇	—	2	2	no	—
651	C₄×C₇	—	2	4	no	—
652	C₄×C₇	—	2	2	no	—
653	C₄×C₇	—	2	8	no	—
654	C₄×C₇	—	2	4	no	—
655	C₄×C₇	—	2	8	no	—
656	C₄×C₇	—	2	4	no	—
657	C₄×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
658	C₂⁴	—	2	4	no	—
659	C₂⁴	—	2	4	no	—
660	C₂⁴	—	2	8	no	—
661	C₂⁴	—	4	2	no	—
662	C₂⁴	—	4	4	no	—
663	C₂⁴	—	4	4	no	—
664	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
665	C₂⁴	C₂⁴×C₇	1	4	yes	—
666	C₂⁴	C₂⁴×C₇	1	2	yes	—
667	C₂⁴	C₂⁴×C₇	1	4	yes	—
668	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
669	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
670	C₂⁴	C₂⁴×C₇	1	8	yes	—
671	#41	—	4	16	no	—
672	#41	—	4	64	no	—
673	#41	—	4	32	no	—
674	C₂×Q₈	—	2	8	no	—
675	C₂×Q₈	—	4	4	no	—
676	C₂×Q₈	—	4	2	no	—
677	C₂×Q₈	—	4	8	no	—
678	C₂×Q₈	—	4	16	no	—
679	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
680	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
681	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
682	C₂×Q₈	C₂⁴×C₇	1	16	yes	—
683	C₂×D₄	—	2	16	no	—
684	C₂×D₄	—	2	8	no	—
685	C₂×D₄	—	2	8	no	—
686	C₂×D₄	—	2	8	no	—
687	C₂×D₄	—	4	16	no	—
688	C₂×D₄	—	4	4	no	—
689	C₂×D₄	—	4	8	no	—
690	C₂×D₄	—	4	4	no	—
691	C₂×D₄	—	4	2	no	—
692	C₂×D₄	—	4	8	no	—
693	C₂×D₄	—	4	8	no	—
694	C₂×D₄	—	4	32	no	—
695	C₂×D₄	C₂⁴×C₇	1	8	yes	—
696	C₂×D₄	C₂⁴×C₇	1	8	yes	—
697	C₂×D₄	C₂⁴×C₇	1	16	yes	—
698	C₂×D₄	C₂⁴×C₇	1	8	yes	—
699	C₂×D₄	C₂⁴×C₇	1	8	yes	—
700	C₂×D₄	C₂⁴×C₇	1	16	yes	—
701	C₂×D₄	C₂⁴×C₇	1	16	yes	—
702	C₂×D₄	C₂⁴×C₇	1	8	yes	—
703	C₂×D₄	C₂⁴×C₇	1	16	yes	—
704	C₂×D₄	C₂⁴×C₇	1	4	yes	—
705	C₂²×C₄	—	2	8	no	—
706	C₂²×C₄	—	2	4	no	—
707	C₂²×C₄	—	2	4	no	—
708	C₂²×C₄	—	2	4	no	—
709	C₂²×C₄	—	2	8	no	—
710	C₂²×C₄	—	4	16	no	—
711	C₂²×C₄	—	4	2	no	—
712	C₂²×C₄	—	4	2	no	—
713	C₂²×C₄	—	4	2	no	—
714	C₂²×C₄	—	4	4	no	—
715	C₂²×C₄	—	4	4	no	—
716	C₂²×C₄	—	4	8	no	—
717	C₂²×C₄	—	4	8	no	—
718	C₂²×C₄	—	4	8	no	—
719	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
720	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
721	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
722	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
723	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
724	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
725	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
726	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
727	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
728	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
729	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
730	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
731	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
732	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
733	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
734	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
735	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
736	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
737	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
738	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
739	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
740	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
741	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
742	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
743	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
744	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
745	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
746	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
747	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
748	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
749	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
750	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
751	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
752	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
753	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
754	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
755	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
756	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
757	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
758	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
759	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
760	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
761	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
762	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
763	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
764	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
765	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
766	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
767	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
768	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
769	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
770	C₄²	C₂⁴×C₇	1	8	yes	—
771	C₄²	C₂⁴×C₇	1	16	yes	—
772	C₂×C₇	—	2	4	no	—
773	C₂×C₇	—	2	4	no	—
774	C₂×C₇	—	4	4	no	—
775	C₂×C₇	—	4	2	no	—
776	C₂×C₇	—	4	8	no	—
777	C₂×C₇	#3536	1	4	yes	direct product factor
778	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
779	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
780	C₂×C₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
781	C₂³	—	2	2	no	—
782	C₂³	—	2	2	no	—
783	C₂³	—	2	2	no	—
784	C₂³	—	2	2	no	—
785	C₂³	—	2	2	no	—
786	C₂³	—	2	4	no	—
787	C₂³	—	2	4	no	—
788	C₂³	—	2	8	no	—
789	C₂³	—	2	8	no	—
790	C₂³	—	2	8	no	—
791	C₂³	—	2	2	no	—
792	C₂³	—	2	4	no	—
793	C₂³	—	2	8	no	—
794	C₂³	—	2	2	no	—
795	C₂³	—	2	8	no	—
796	C₂³	—	2	16	no	—
797	C₂³	—	4	4	no	—
798	C₂³	—	4	8	no	—
799	C₂³	—	4	8	no	—
800	C₂³	—	4	16	no	—
801	C₂³	—	8	16	no	—
802	C₂³	C₇×H(5,𝔽₂)	1	4	yes	—
803	C₂³	C₇×2₋¹⁺⁴	1	4	yes	—
804	C₂³	C₂⁵×C₇	1	2	yes	—
805	C₂³	C₂⁵×C₇	1	8	yes	—
806	C₂³	C₂⁵×C₇	1	4	yes	—
807	C₂³	C₂⁵×C₇	1	2	yes	—
808	C₂³	C₂⁵×C₇	1	2	yes	—
809	C₂³	C₂⁵×C₇	1	1	yes	characteristic
810	Q₈	—	2	16	no	—
811	Q₈	—	4	8	no	—
812	Q₈	—	4	4	no	—
813	Q₈	—	4	16	no	—
814	D₄	—	2	32	no	—
815	D₄	—	2	16	no	—
816	D₄	—	2	16	no	—
817	D₄	—	2	16	no	—
818	D₄	—	4	8	no	—
819	D₄	—	4	16	no	—
820	D₄	—	4	8	no	—
821	D₄	—	4	4	no	—
822	D₄	—	4	16	no	—
823	D₄	—	4	16	no	—
824	C₂×C₄	—	2	2	no	—
825	C₂×C₄	—	2	8	no	—
826	C₂×C₄	—	2	2	no	—
827	C₂×C₄	—	2	4	no	—
828	C₂×C₄	—	2	2	no	—
829	C₂×C₄	—	2	16	no	—
830	C₂×C₄	—	2	8	no	—
831	C₂×C₄	—	2	4	no	—
832	C₂×C₄	—	2	8	no	—
833	C₂×C₄	—	2	4	no	—
834	C₂×C₄	—	2	8	no	—
835	C₂×C₄	—	2	8	no	—
836	C₂×C₄	—	2	8	no	—
837	C₂×C₄	—	2	16	no	—
838	C₂×C₄	—	4	4	no	—
839	C₂×C₄	—	4	4	no	—
840	C₂×C₄	—	4	4	no	—
841	C₂×C₄	—	4	8	no	—
842	C₂×C₄	—	4	8	no	—
843	C₂×C₄	—	4	16	no	—
844	C₂×C₄	—	4	16	no	—
845	C₂×C₄	—	4	16	no	—
846	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
847	C₂×C₄	C₂⁵×C₇	1	4	yes	—
848	C₂×C₄	C₂⁵×C₇	1	4	yes	—
849	C₂×C₄	C₂⁵×C₇	1	8	yes	—
850	C₂×C₄	C₂⁵×C₇	1	8	yes	—
851	C₂×C₄	C₂⁵×C₇	1	2	yes	—
852	C₂×C₄	C₂⁵×C₇	1	4	yes	—
853	C₂×C₄	C₂⁵×C₇	1	8	yes	—
854	C₂×C₄	C₂⁵×C₇	1	2	yes	—
855	C₂×C₄	C₂⁵×C₇	1	2	yes	—
856	C₂×C₄	C₂⁵×C₇	1	2	yes	—
857	C₇	C₂×#3536	1	1	yes	characteristic, direct product factor, Sylow
858	C₂²	—	2	2	no	—
859	C₂²	—	2	2	no	—
860	C₂²	—	2	2	no	—
861	C₂²	—	2	2	no	—
862	C₂²	—	2	8	no	—
863	C₂²	—	2	8	no	—
864	C₂²	—	2	2	no	—
865	C₂²	—	2	4	no	—
866	C₂²	—	2	4	no	—
867	C₂²	—	2	8	no	—
868	C₂²	—	2	8	no	—
869	C₂²	—	2	2	no	—
870	C₂²	—	2	4	no	—
871	C₂²	—	2	2	no	—
872	C₂²	—	2	8	no	—
873	C₂²	—	4	16	no	—
874	C₂²	—	4	4	no	—
875	C₂²	—	4	16	no	—
876	C₂²	—	4	8	no	—
877	C₂²	—	8	16	no	—
878	C₂²	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
879	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
880	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
881	C₂²	C₂×C₇×2₋¹⁺⁴	1	4	yes	—
882	C₂²	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
883	C₂²	C₂⁶×C₇	1	1	yes	characteristic
884	C₄	—	2	2	no	—
885	C₄	—	2	8	no	—
886	C₄	—	2	2	no	—
887	C₄	—	2	4	no	—
888	C₄	—	2	2	no	—
889	C₄	—	2	8	no	—
890	C₄	—	2	4	no	—
891	C₄	—	2	8	no	—
892	C₄	—	2	4	no	—
893	C₄	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
894	C₂	—	2	4	no	—
895	C₂	—	2	4	no	—
896	C₂	—	4	2	no	—
897	C₂	—	4	8	no	—
898	C₂	—	4	4	no	—
899	C₂	C₇×#3536	1	4	yes	direct product factor
900	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
901	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
902	C₂	C₂²×C₇×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3536	C₂	direct (N × H)
2. C₂×C₇×#562	C₂	semidirect
3. C₂×C₇×#554	C₂	semidirect
4. C₂×C₇×#548	C₂	semidirect
5. C₂×C₇×#547	C₂	semidirect
6. C₂×C₇×#546	C₂	semidirect
7. C₂×C₇×#546	C₂	semidirect
8. C₂×C₇×#543	C₂	semidirect
9. C₂×C₇×#542	C₂	semidirect
10. C₂×C₇×#539	C₂	semidirect
11. C₂×C₇×#538	C₂	semidirect
12. C₂×C₇×#537	C₂	semidirect
13. C₂×C₇×#537	C₂	semidirect
14. C₂×C₇×#525	C₂	semidirect
15. C₂²×C₇×C₂²⋊Q₈	C₂	semidirect
16. C₂²×C₇×#121	C₂	semidirect
17. C₂²×C₇×#41	C₂²	semidirect
18. C₂²×C₇×#41	C₂²	semidirect
19. C₂²×C₇×#41	C₂²	semidirect
20. C₂³×C₇×Q₈	C₂²	semidirect
24. C₇×#562	C₂²	semidirect
25. C₇×#554	C₂²	semidirect
26. C₇×#548	C₂²	semidirect
27. C₇×#547	C₂²	semidirect
28. C₇×#546	C₂²	semidirect
29. C₇×#546	C₂²	semidirect
30. C₇×#543	C₂²	semidirect
31. C₇×#542	C₂²	semidirect
32. C₇×#539	C₂²	semidirect
33. C₇×#538	C₂²	semidirect
34. C₇×#537	C₂²	semidirect
35. C₇×#537	C₂²	semidirect
36. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
37. C₂×C₇×#126	C₂²	semidirect
38. C₂×C₇×#125	C₂²	semidirect
39. C₂×C₇×#124	C₂²	semidirect
40. C₂×C₇×#124	C₂²	semidirect
41. C₂×C₇×#124	C₂²	semidirect
42. C₇×#525	C₂²	semidirect
43. C₂×C₇×#123	C₂²	semidirect
44. C₂×C₇×#123	C₂²	semidirect
45. C₂×C₇×#123	C₂²	semidirect
46. C₂×C₇×#123	C₂²	semidirect
47. C₂×C₇×#123	C₂²	semidirect
52. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
53. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
54. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
55. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
56. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
57. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
58. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
59. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
60. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
61. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
67. C₂×C₇×#121	C₂²	semidirect
68. C₂×C₇×#121	C₂²	semidirect
69. C₂×C₇×#121	C₂²	semidirect
70. C₂×C₇×#121	C₂²	semidirect
71. C₂×C₇×#121	C₂²	semidirect
72. C₂×C₇×#121	C₂²	semidirect
73. C₂×C₇×#121	C₂²	semidirect
74. C₂×C₇×#121	C₂²	semidirect
77. C₂×C₄×C₇×Q₈	C₂²	semidirect
80. C₂×C₄×C₇×D₄	C₂²	semidirect
81. C₂×C₄×C₇×D₄	C₂²	semidirect
82. C₂×C₄×C₇×D₄	C₂²	semidirect
83. C₂×C₇×#117	C₂²	semidirect
85. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
86. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
87. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
91. C₂×#3536	C₇	direct (N × H)
97. C₂×C₇×#41	C₂³	semidirect
98. C₂×C₇×#41	C₂³	semidirect
99. C₂×C₇×#41	C₂³	semidirect
105. C₂²×C₇×Q₈	C₂³	semidirect
135. C₇×C₄⋊Q₈	C₂³	semidirect
136. C₇×#126	C₂³	semidirect
137. C₇×#125	C₂³	semidirect
138. C₇×#124	C₂³	semidirect
139. C₇×#124	C₂³	semidirect
140. C₇×#124	C₂³	semidirect
141. C₇×#123	C₂³	semidirect
142. C₇×#123	C₂³	semidirect
143. C₇×#123	C₂³	semidirect
144. C₇×#123	C₂³	semidirect
145. C₇×#123	C₂³	semidirect
150. C₇×C₂²⋊Q₈	C₂³	semidirect
151. C₇×C₂²⋊Q₈	C₂³	semidirect
152. C₇×C₂²⋊Q₈	C₂³	semidirect
153. C₇×C₂²⋊Q₈	C₂³	semidirect
154. C₇×C₂²⋊Q₈	C₂³	semidirect
155. C₇×C₂²⋊Q₈	C₂³	semidirect
156. C₇×C₂²⋊Q₈	C₂³	semidirect
157. C₇×C₂²⋊Q₈	C₂³	semidirect
158. C₇×C₂²⋊Q₈	C₂³	semidirect
164. C₇×#121	C₂³	semidirect
165. C₇×#121	C₂³	semidirect
166. C₇×#121	C₂³	semidirect
167. C₇×#121	C₂³	semidirect
168. C₇×#121	C₂³	semidirect
169. C₇×#121	C₂³	semidirect
170. C₇×#121	C₂³	semidirect
173. C₄×C₇×Q₈	C₂³	semidirect
176. C₄×C₇×D₄	C₂³	semidirect
177. C₄×C₇×D₄	C₂³	semidirect
178. C₄×C₇×D₄	C₂³	semidirect
179. C₇×#117	C₂³	semidirect
195. C₂×C₇×C₄⋊C₄	C₂³	semidirect
196. C₂×C₇×C₄⋊C₄	C₂³	semidirect
197. C₂×C₇×C₄⋊C₄	C₂³	semidirect
217. #3536	C₂×C₇	direct (N × H)
218. C₂×#562	C₂×C₇	semidirect
219. C₂×#554	C₂×C₇	semidirect
220. C₂×#548	C₂×C₇	semidirect
221. C₂×#547	C₂×C₇	semidirect
222. C₂×#546	C₂×C₇	semidirect
223. C₂×#546	C₂×C₇	semidirect
224. C₂×#543	C₂×C₇	semidirect
225. C₂×#542	C₂×C₇	semidirect
226. C₂×#539	C₂×C₇	semidirect
227. C₂×#538	C₂×C₇	semidirect
228. C₂×#537	C₂×C₇	semidirect
229. C₂×#537	C₂×C₇	semidirect
230. C₂×#525	C₂×C₇	semidirect
231. C₂²×C₂²⋊Q₈	C₂×C₇	semidirect
232. C₂²×#121	C₂×C₇	semidirect
347. C₂²×#41	C₂²×C₇	semidirect
348. C₂²×#41	C₂²×C₇	semidirect
349. C₂²×#41	C₂²×C₇	semidirect
350. C₂³×Q₈	C₂²×C₇	semidirect
354. #562	C₂²×C₇	semidirect
355. #554	C₂²×C₇	semidirect
356. #548	C₂²×C₇	semidirect
357. #547	C₂²×C₇	semidirect
358. #546	C₂²×C₇	semidirect
359. #546	C₂²×C₇	semidirect
360. #543	C₂²×C₇	semidirect
361. #542	C₂²×C₇	semidirect
362. #539	C₂²×C₇	semidirect
363. #538	C₂²×C₇	semidirect
364. #537	C₂²×C₇	semidirect
365. #537	C₂²×C₇	semidirect
366. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
367. C₂×#126	C₂²×C₇	semidirect
368. C₂×#125	C₂²×C₇	semidirect
369. C₂×#124	C₂²×C₇	semidirect
370. C₂×#124	C₂²×C₇	semidirect
371. C₂×#124	C₂²×C₇	semidirect
372. #525	C₂²×C₇	semidirect
373. C₂×#123	C₂²×C₇	semidirect
374. C₂×#123	C₂²×C₇	semidirect
375. C₂×#123	C₂²×C₇	semidirect
376. C₂×#123	C₂²×C₇	semidirect
377. C₂×#123	C₂²×C₇	semidirect
382. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
383. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
384. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
385. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
386. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
387. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
388. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
389. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
390. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
391. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
397. C₂×#121	C₂²×C₇	semidirect
398. C₂×#121	C₂²×C₇	semidirect
399. C₂×#121	C₂²×C₇	semidirect
400. C₂×#121	C₂²×C₇	semidirect
401. C₂×#121	C₂²×C₇	semidirect
402. C₂×#121	C₂²×C₇	semidirect
403. C₂×#121	C₂²×C₇	semidirect
404. C₂×#121	C₂²×C₇	semidirect
407. C₂×C₄×Q₈	C₂²×C₇	semidirect
410. C₂×C₄×D₄	C₂²×C₇	semidirect
411. C₂×C₄×D₄	C₂²×C₇	semidirect
412. C₂×C₄×D₄	C₂²×C₇	semidirect
413. C₂×#117	C₂²×C₇	semidirect
415. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
416. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
417. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
502. C₂×#41	C₂³×C₇	semidirect
503. C₂×#41	C₂³×C₇	semidirect
504. C₂×#41	C₂³×C₇	semidirect
510. C₂²×Q₈	C₂³×C₇	semidirect
540. C₄⋊Q₈	C₂³×C₇	semidirect
541. #126	C₂³×C₇	semidirect
542. #125	C₂³×C₇	semidirect
543. #124	C₂³×C₇	semidirect
544. #124	C₂³×C₇	semidirect
545. #124	C₂³×C₇	semidirect
546. #123	C₂³×C₇	semidirect
547. #123	C₂³×C₇	semidirect
548. #123	C₂³×C₇	semidirect
549. #123	C₂³×C₇	semidirect
550. #123	C₂³×C₇	semidirect
555. C₂²⋊Q₈	C₂³×C₇	semidirect
556. C₂²⋊Q₈	C₂³×C₇	semidirect
557. C₂²⋊Q₈	C₂³×C₇	semidirect
558. C₂²⋊Q₈	C₂³×C₇	semidirect
559. C₂²⋊Q₈	C₂³×C₇	semidirect
560. C₂²⋊Q₈	C₂³×C₇	semidirect
561. C₂²⋊Q₈	C₂³×C₇	semidirect
562. C₂²⋊Q₈	C₂³×C₇	semidirect
563. C₂²⋊Q₈	C₂³×C₇	semidirect
569. #121	C₂³×C₇	semidirect
570. #121	C₂³×C₇	semidirect
571. #121	C₂³×C₇	semidirect
572. #121	C₂³×C₇	semidirect
573. #121	C₂³×C₇	semidirect
574. #121	C₂³×C₇	semidirect
575. #121	C₂³×C₇	semidirect
578. C₄×Q₈	C₂³×C₇	semidirect
581. C₄×D₄	C₂³×C₇	semidirect
582. C₄×D₄	C₂³×C₇	semidirect
583. C₄×D₄	C₂³×C₇	semidirect
584. #117	C₂³×C₇	semidirect
600. C₂×C₄⋊C₄	C₂³×C₇	semidirect
601. C₂×C₄⋊C₄	C₂³×C₇	semidirect
602. C₂×C₄⋊C₄	C₂³×C₇	semidirect
777. C₂×C₇	#3536	direct (N × H)
857. C₇	C₂×#3536	direct (N × H)
899. C₂	C₇×#3536	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×#3536	2
C₂×C₇×#562	2
C₂×C₇×#554	2
C₂×C₇×#548	2
C₂×C₇×#547	2
C₂×C₇×#546	2
C₂×C₇×#543	2
C₂×C₇×#542	2
C₂×C₇×#539	2
C₂×C₇×#538	2
C₂×C₇×#537	2
C₂×C₇×#525	2
C₂²×C₇×C₂²⋊Q₈	2
C₂²×C₇×#121	2
C₂×#3536	7

Subgroups — C2×C7×#3536 #13239939

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₇×#3536 #13239939