Subgroups — #13518179

Order 1792.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#538	C₂	1	1	yes	maximal, characteristic
2	#11740521	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740520	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740520	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740520	C₂	1	1	yes	maximal, characteristic, complemented
6	#11740401	C₂	1	1	yes	maximal, characteristic, complemented
7	#11740400	C₂	1	1	yes	maximal, characteristic, complemented
8	#11740399	C₂	1	1	yes	maximal, characteristic, complemented
9	#11740398	C₂	1	1	yes	maximal, characteristic, complemented
10	#11740285	C₂	1	1	yes	maximal, characteristic, complemented
11	#11740283	C₂	1	1	yes	maximal, characteristic, complemented
12	#11740282	C₂	1	1	yes	maximal, characteristic, complemented
13	Dic₇×#123	C₂	1	1	yes	maximal, characteristic, complemented
14	#11740195	C₂	1	1	yes	maximal, characteristic, complemented
15	#11740193	C₂	1	1	yes	maximal, characteristic, complemented
16	#11740080	C₂	1	1	yes	maximal, characteristic, complemented
17	#11740080	C₂	1	1	yes	maximal, characteristic, complemented
18	#11740079	C₂	1	1	yes	maximal, characteristic, complemented
19	#11740078	C₂	1	1	yes	maximal, characteristic, complemented
20	#11740078	C₂	1	1	yes	maximal, characteristic, complemented
21	Dic₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
22	#11740025	C₂	1	1	yes	maximal, characteristic, complemented
23	#11740024	C₂	1	1	yes	maximal, characteristic, complemented
24	#11740023	C₂	1	1	yes	maximal, characteristic, complemented
25	#11740023	C₂	1	1	yes	maximal, characteristic, complemented
26	#11739782	C₂	1	1	yes	maximal, characteristic, complemented
27	#11739781	C₂	1	1	yes	maximal, characteristic, complemented
28	#11739770	C₂	1	1	yes	maximal, characteristic, complemented
29	#11739763	C₂	1	1	yes	maximal, characteristic, complemented
30	#11739542	C₂	1	1	yes	maximal, characteristic, complemented
31	#11739542	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#538	C₄	1	16	yes	complemented
33	C₂×C₇×#126	C₂²	1	1	yes	characteristic
34	C₂×C₇×#126	C₂²	1	1	yes	characteristic
35	C₂×C₇×#124	C₂²	1	1	yes	characteristic
36	C₂×C₇×#124	C₂²	1	1	yes	characteristic
37	C₂×C₇×#123	C₂²	1	1	yes	characteristic
38	C₂×C₇×#123	C₂²	1	1	yes	characteristic
39	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₇×#121	C₂²	1	1	yes	characteristic
41	C₂×C₇×#121	C₂²	1	1	yes	characteristic
42	C₂×C₇×#121	C₂²	1	1	yes	characteristic
43	C₂×C₇×#120	C₂²	1	1	yes	characteristic
44	C₂×C₇×#120	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
47	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₂²×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
49	C₂²×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
50	C₂×Q₈×Dic₇	C₂²	1	1	yes	characteristic, complemented
51	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
52	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
53	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
54	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
55	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
56	C₂×#6489	C₂²	1	1	yes	characteristic
57	C₂×#6489	C₂²	1	1	yes	characteristic
58	C₂×#6489	C₂²	1	1	yes	characteristic, complemented
59	C₂²×C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
60	#90019	C₂²	1	1	yes	characteristic
61	#90019	C₂²	1	1	yes	characteristic
62	#90002	C₂²	1	1	yes	characteristic, complemented
63	#90002	C₂²	1	1	yes	characteristic, complemented
64	#90002	C₂²	1	1	yes	characteristic, complemented
65	#89993	C₂²	1	1	yes	characteristic
66	#89993	C₂²	1	1	yes	characteristic
67	#89993	C₂²	1	1	yes	characteristic
68	#89993	C₂²	1	1	yes	characteristic
69	#89993	C₂²	1	1	yes	characteristic
70	#89993	C₂²	1	1	yes	characteristic
71	#89993	C₂²	1	1	yes	characteristic
72	#89993	C₂²	1	1	yes	characteristic
73	#89993	C₂²	1	1	yes	characteristic, complemented
74	#89992	C₂²	1	1	yes	characteristic
75	#89992	C₂²	1	1	yes	characteristic
76	#89992	C₂²	1	1	yes	characteristic
77	#89992	C₂²	1	1	yes	characteristic
78	#89992	C₂²	1	1	yes	characteristic
79	#89992	C₂²	1	1	yes	characteristic
80	#89992	C₂²	1	1	yes	characteristic
81	#89992	C₂²	1	1	yes	characteristic
82	#89992	C₂²	1	1	yes	characteristic
83	#89992	C₂²	1	1	yes	characteristic
84	#89992	C₂²	1	1	yes	characteristic
85	#89992	C₂²	1	1	yes	characteristic
86	#89992	C₂²	1	1	yes	characteristic, complemented
87	#89992	C₂²	1	1	yes	characteristic, complemented
88	#89984	C₂²	1	1	yes	characteristic
89	#89984	C₂²	1	1	yes	characteristic
90	#89984	C₂²	1	1	yes	characteristic, complemented
91	#89984	C₂²	1	1	yes	characteristic, complemented
92	#89984	C₂²	1	1	yes	characteristic, complemented
93	#89983	C₂²	1	1	yes	characteristic
94	#89983	C₂²	1	1	yes	characteristic
95	#89983	C₂²	1	1	yes	characteristic, complemented
96	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
97	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
98	C₄×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₇⋊#95	C₂²	1	1	yes	characteristic, complemented
100	#89757	C₂²	1	1	yes	characteristic, complemented
101	#89757	C₂²	1	1	yes	characteristic, complemented
102	#89757	C₂²	1	1	yes	characteristic, complemented
103	#89757	C₂²	1	1	yes	characteristic, complemented
104	#89757	C₂²	1	1	yes	characteristic, complemented
105	#89757	C₂²	1	1	yes	characteristic, complemented
106	#89753	C₂²	1	1	yes	characteristic, complemented
107	#89753	C₂²	1	1	yes	characteristic, complemented
108	#89753	C₂²	1	1	yes	characteristic, complemented
109	#89753	C₂²	1	1	yes	characteristic, complemented
110	#89753	C₂²	1	1	yes	characteristic, complemented
111	#89753	C₂²	1	1	yes	characteristic, complemented
112	#89753	C₂²	1	1	yes	characteristic, complemented
113	#89753	C₂²	1	1	yes	characteristic, complemented
114	#89753	C₂²	1	1	yes	characteristic, complemented
115	#89753	C₂²	1	1	yes	characteristic, complemented
116	#89753	C₂²	1	1	yes	characteristic, complemented
117	#89753	C₂²	1	1	yes	characteristic, complemented
118	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
119	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
120	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
121	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
122	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
123	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
124	#89723	C₂²	1	1	yes	characteristic
125	#89723	C₂²	1	1	yes	characteristic
126	#89723	C₂²	1	1	yes	characteristic
127	#89723	C₂²	1	1	yes	characteristic
128	#89723	C₂²	1	1	yes	characteristic
129	#89723	C₂²	1	1	yes	characteristic
130	#89723	C₂²	1	1	yes	characteristic
131	#89723	C₂²	1	1	yes	characteristic
132	#89723	C₂²	1	1	yes	characteristic
133	#89723	C₂²	1	1	yes	characteristic
134	#89723	C₂²	1	1	yes	characteristic
135	#89723	C₂²	1	1	yes	characteristic
136	#89723	C₂²	1	1	yes	characteristic
137	#89723	C₂²	1	1	yes	characteristic
138	#89723	C₂²	1	1	yes	characteristic
139	#89723	C₂²	1	1	yes	characteristic
140	#89723	C₂²	1	1	yes	characteristic
141	#89723	C₂²	1	1	yes	characteristic
142	#89723	C₂²	1	1	yes	characteristic
143	#89723	C₂²	1	1	yes	characteristic
144	#89723	C₂²	1	1	yes	characteristic
145	#89723	C₂²	1	1	yes	characteristic
146	#89723	C₂²	1	1	yes	characteristic
147	#89723	C₂²	1	1	yes	characteristic
148	#89723	C₂²	1	1	yes	characteristic, complemented
149	#89723	C₂²	1	1	yes	characteristic, complemented
150	#89723	C₂²	1	1	yes	characteristic, complemented
151	#89723	C₂²	1	1	yes	characteristic, complemented
152	#89723	C₂²	1	1	yes	characteristic, complemented
153	#89723	C₂²	1	1	yes	characteristic, complemented
154	#89723	C₂²	1	1	yes	characteristic, complemented
155	#89723	C₂²	1	1	yes	characteristic, complemented
156	#89722	C₂²	1	1	yes	characteristic
157	#89722	C₂²	1	1	yes	characteristic
158	#89722	C₂²	1	1	yes	characteristic
159	#89722	C₂²	1	1	yes	characteristic
160	#89722	C₂²	1	1	yes	characteristic
161	#89722	C₂²	1	1	yes	characteristic
162	#89722	C₂²	1	1	yes	characteristic
163	#89722	C₂²	1	1	yes	characteristic
164	#89722	C₂²	1	1	yes	characteristic, complemented
165	#89722	C₂²	1	1	yes	characteristic, complemented
166	#89722	C₂²	1	1	yes	characteristic, complemented
167	#89722	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
170	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
171	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
172	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
173	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
174	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
175	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
176	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
177	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
178	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
179	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
180	#89709	C₂²	1	1	yes	characteristic, complemented
181	#89707	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
185	#89704	C₂²	1	1	yes	characteristic, complemented
186	#89704	C₂²	1	1	yes	characteristic, complemented
187	#89704	C₂²	1	1	yes	characteristic, complemented
188	#34451	—	7	1	no	maximal, Sylow
189	C₂⁵×C₇	C₂³	1	1	yes	characteristic
190	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
191	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
193	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
194	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
195	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
196	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
197	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
202	C₂³×Dic₇	C₂³	1	1	yes	characteristic
203	C₂³×Dic₇	C₂³	1	1	yes	characteristic
204	C₂³×Dic₇	C₂³	1	1	yes	characteristic
205	C₂³×Dic₇	C₂³	1	1	yes	characteristic
206	C₂³×Dic₇	C₂³	1	1	yes	characteristic
207	C₂³×Dic₇	C₂³	1	1	yes	characteristic
208	C₂³×Dic₇	C₂³	1	1	yes	characteristic
209	C₂³×Dic₇	C₂³	1	1	yes	characteristic
210	C₇×#126	C₂×C₄	1	8	yes	complemented
211	C₇×#126	C₂×C₄	1	8	yes	complemented
212	C₇×#124	C₂×C₄	1	8	yes	complemented
213	C₇×#124	C₂×C₄	1	8	yes	complemented
214	C₇×#123	C₂×C₄	1	8	yes	complemented
215	C₇×#123	C₂×C₄	1	8	yes	complemented
216	C₇×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
217	C₇×#121	C₂×C₄	1	8	yes	complemented
218	C₇×#121	C₂×C₄	1	8	yes	complemented
219	C₇×#121	C₂×C₄	1	8	yes	complemented
220	C₇×#120	C₂×C₄	1	8	yes	complemented
221	C₇×#120	C₂×C₄	1	8	yes	complemented
222	C₄×C₇×D₄	C₂×C₄	1	8	yes	complemented
223	C₄×C₇×D₄	C₂×C₄	1	8	yes	complemented
224	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
231	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
246	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₇	—	4	2	no	—
248	C₂×C₂²⋊Dic₇	—	4	2	no	—
249	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
281	Q₈×Dic₇	—	4	2	no	—
282	D₄×Dic₇	—	4	2	no	—
283	D₄×Dic₇	—	4	2	no	—
284	D₄×Dic₇	—	4	2	no	—
285	D₄×Dic₇	—	4	2	no	—
286	D₄×Dic₇	—	4	2	no	—
287	#6489	—	4	2	no	—
288	#6489	—	4	2	no	—
289	#6489	—	4	2	no	—
290	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₇	—	4	2	no	—
311	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
322	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
324	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
325	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
326	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
327	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
328	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
329	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
330	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
331	C₇⋊#95	C₂³	1	1	yes	characteristic
332	C₇⋊#95	C₂³	1	1	yes	characteristic
333	C₇⋊#95	C₂³	1	1	yes	characteristic
334	C₇⋊#95	C₂³	1	1	yes	characteristic
335	C₇⋊#95	C₂³	1	1	yes	characteristic
336	C₇⋊#95	C₂³	1	1	yes	characteristic
337	C₇⋊#95	C₂³	1	1	yes	characteristic
338	C₇⋊#95	C₂³	1	1	yes	characteristic
339	C₇⋊#95	C₂³	1	1	yes	characteristic
340	C₇⋊#95	C₂³	1	1	yes	characteristic
341	C₇⋊#95	C₂³	1	1	yes	characteristic
342	C₇⋊#95	C₂³	1	1	yes	characteristic
343	C₇⋊#95	C₂³	1	1	yes	characteristic
344	C₇⋊#95	C₂³	1	1	yes	characteristic
345	C₇⋊#95	C₂³	1	1	yes	characteristic
346	C₇⋊#95	C₂³	1	1	yes	characteristic
347	C₇⋊#95	C₂³	1	1	yes	characteristic
348	C₇⋊#95	C₂³	1	1	yes	characteristic
349	C₇⋊#95	C₂³	1	1	yes	characteristic
350	C₇⋊#95	C₂³	1	1	yes	characteristic
351	C₇⋊#95	C₂³	1	1	yes	characteristic
352	C₇⋊#95	C₂³	1	1	yes	characteristic
353	C₇⋊#95	C₂³	1	1	yes	characteristic
354	C₇⋊#95	C₂³	1	1	yes	characteristic
355	C₇⋊#95	C₂³	1	1	yes	characteristic
356	C₇⋊#95	C₂³	1	1	yes	characteristic
357	C₇⋊#95	C₂³	1	1	yes	characteristic
358	C₇⋊#95	C₂³	1	1	yes	characteristic
359	C₇⋊#95	C₂³	1	1	yes	characteristic
360	C₇⋊#95	C₂³	1	1	yes	characteristic
361	C₇⋊#95	C₂³	1	1	yes	characteristic
362	C₇⋊#95	C₂³	1	1	yes	characteristic
363	C₇⋊#95	C₂³	1	1	yes	characteristic
364	C₇⋊#95	C₂³	1	1	yes	characteristic
365	C₇⋊#95	C₂³	1	1	yes	characteristic
366	C₇⋊#95	C₂³	1	1	yes	characteristic
367	C₇⋊#95	C₂³	1	1	yes	characteristic
368	C₇⋊#95	C₂³	1	1	yes	characteristic
369	C₇⋊#95	C₂³	1	1	yes	characteristic
370	C₇⋊#95	C₂³	1	1	yes	characteristic
371	C₂×#538	D₇	1	1	yes	characteristic
372	#2383	—	7	1	no	—
373	#2378	—	7	1	no	—
374	#2376	—	7	1	no	—
375	#2375	—	7	1	no	—
376	#2373	—	7	1	no	—
377	#2373	—	7	1	no	—
378	#2373	—	7	1	no	—
379	#2372	—	7	1	no	—
380	#2367	—	7	1	no	—
381	#2362	—	7	1	no	—
382	#2359	—	7	1	no	—
383	#2358	—	7	1	no	—
384	#2354	—	7	1	no	—
385	#2353	—	7	1	no	—
386	#2342	—	7	1	no	—
387	#2342	—	7	1	no	—
388	#2337	—	7	1	no	—
389	#2335	—	7	1	no	—
390	#2333	—	7	1	no	—
391	#2333	—	7	1	no	—
392	#2326	—	7	1	no	—
393	#2325	—	7	1	no	—
394	#2324	—	7	1	no	—
395	#2324	—	7	1	no	—
396	#2321	—	7	1	no	—
397	#2321	—	7	1	no	—
398	#2319	—	7	1	no	—
399	C₄×#123	—	7	1	no	—
400	C₄×#121	—	7	1	no	—
401	#2290	—	7	1	no	—
402	C₂⁴×C₇	—	4	1	no	—
403	C₂⁴×C₇	—	4	1	no	—
404	C₂⁴×C₇	—	4	1	no	—
405	C₂⁴×C₇	—	4	1	no	—
406	C₂⁴×C₇	—	4	1	no	—
407	C₂⁴×C₇	—	4	1	no	—
408	C₂⁴×C₇	C₂²×C₄	1	4	yes	—
409	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
410	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
411	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
412	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
413	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
414	C₂×C₇×Q₈	—	4	1	no	—
415	C₂×C₇×Q₈	—	4	1	no	—
416	C₂×C₇×Q₈	C₂²×C₄	1	4	yes	—
417	C₂×C₇×D₄	—	4	1	no	—
418	C₂×C₇×D₄	—	4	1	no	—
419	C₂×C₇×D₄	—	4	1	no	—
420	C₂×C₇×D₄	—	4	1	no	—
421	C₂×C₇×D₄	—	4	1	no	—
422	C₂×C₇×D₄	—	4	1	no	—
423	C₂×C₇×D₄	—	4	1	no	—
424	C₂×C₇×D₄	—	4	1	no	—
425	C₂×C₇×D₄	—	4	1	no	—
426	C₂×C₇×D₄	—	4	1	no	—
427	C₂×C₇×D₄	—	4	1	no	—
428	C₂×C₇×D₄	—	4	1	no	—
429	C₂×C₇×D₄	—	4	1	no	—
430	C₂×C₇×D₄	—	4	1	no	—
431	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
432	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
433	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
434	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
435	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
436	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
437	C₂×C₇×D₄	C₂²×C₄	1	4	yes	—
438	C₂²×C₄×C₇	—	4	1	no	—
439	C₂²×C₄×C₇	—	4	1	no	—
440	C₂²×C₄×C₇	—	4	1	no	—
441	C₂²×C₄×C₇	—	4	1	no	—
442	C₂²×C₄×C₇	—	4	1	no	—
443	C₂²×C₄×C₇	—	4	1	no	—
444	C₂²×C₄×C₇	—	4	1	no	—
445	C₂²×C₄×C₇	—	4	1	no	—
446	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
447	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
448	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
449	C₂²×C₄×C₇	C₂²×C₄	1	4	yes	—
450	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
460	C₂²×Dic₇	—	2	2	no	—
461	C₂²×Dic₇	—	2	2	no	—
462	C₂²×Dic₇	—	2	2	no	—
463	C₂²×Dic₇	—	2	2	no	—
464	C₂²×Dic₇	—	2	2	no	—
465	C₂²×Dic₇	—	4	1	no	—
466	C₂²×Dic₇	—	4	1	no	—
467	C₂²×Dic₇	—	4	1	no	—
468	C₂²×Dic₇	—	4	1	no	—
469	C₂²×Dic₇	—	4	1	no	—
470	C₂²×Dic₇	—	4	1	no	—
471	C₂²×Dic₇	—	4	1	no	—
472	C₂²×Dic₇	—	4	1	no	—
473	C₂²×Dic₇	—	4	1	no	—
474	C₂²×Dic₇	—	4	1	no	—
475	C₂²×Dic₇	—	4	1	no	—
476	C₂²×Dic₇	—	4	1	no	—
477	C₂²×Dic₇	—	4	1	no	—
478	C₂²×Dic₇	—	4	1	no	—
479	C₂²×Dic₇	—	4	1	no	—
480	C₂²×Dic₇	—	4	1	no	—
481	C₂²×Dic₇	—	4	1	no	—
482	C₂²×Dic₇	—	4	1	no	—
483	C₂²×Dic₇	—	4	1	no	—
484	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
485	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
486	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
487	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
488	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
489	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
490	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
491	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
492	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
493	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
494	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
495	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
496	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
497	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
498	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
499	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
500	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
501	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
502	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
503	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
504	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
505	C₇×C₄⋊C₄	C₂²×C₄	1	4	yes	—
506	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
507	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
508	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
509	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
510	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
511	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
512	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
513	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
514	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
515	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
516	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
517	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
518	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
519	C₇×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
520	C₄²×C₇	C₂²×C₄	1	4	yes	—
521	C₄²×C₇	C₂²×C₄	1	4	yes	—
522	C₂²⋊Dic₇	—	2	2	no	—
523	C₂²⋊Dic₇	—	2	2	no	—
524	C₂²⋊Dic₇	—	2	2	no	—
525	C₂²⋊Dic₇	—	2	2	no	—
526	C₂²⋊Dic₇	—	2	2	no	—
527	C₂²⋊Dic₇	—	4	1	no	—
528	C₂²⋊Dic₇	—	4	1	no	—
529	C₂²⋊Dic₇	—	4	1	no	—
530	C₂²⋊Dic₇	—	4	1	no	—
531	C₂²⋊Dic₇	—	4	1	no	—
532	C₂²⋊Dic₇	—	4	1	no	—
533	C₂²⋊Dic₇	—	4	1	no	—
534	C₂²⋊Dic₇	—	4	1	no	—
535	C₂²⋊Dic₇	—	4	1	no	—
536	C₂²⋊Dic₇	—	4	1	no	—
537	C₂²⋊Dic₇	—	4	1	no	—
538	C₂²⋊Dic₇	—	4	1	no	—
539	C₂²⋊Dic₇	—	4	1	no	—
540	C₂²⋊Dic₇	—	4	1	no	—
541	C₂²⋊Dic₇	—	4	1	no	—
542	C₂²⋊Dic₇	—	4	1	no	—
543	C₂²⋊Dic₇	—	4	1	no	—
544	C₂²⋊Dic₇	—	4	1	no	—
545	C₂²⋊Dic₇	—	4	1	no	—
546	C₂²⋊Dic₇	—	4	1	no	—
547	C₂²⋊Dic₇	—	4	1	no	—
548	C₂²⋊Dic₇	—	4	1	no	—
549	C₂²⋊Dic₇	—	4	1	no	—
550	C₂²⋊Dic₇	—	4	1	no	—
551	C₂²⋊Dic₇	—	4	1	no	—
552	C₂²⋊Dic₇	—	4	1	no	—
553	C₂²⋊Dic₇	—	4	1	no	—
554	C₄⋊Dic₇	—	2	2	no	—
555	C₄⋊Dic₇	—	2	2	no	—
556	C₄⋊Dic₇	—	2	2	no	—
557	C₄⋊Dic₇	—	4	1	no	—
558	C₄⋊Dic₇	—	4	1	no	—
559	C₄⋊Dic₇	—	4	1	no	—
560	C₄⋊Dic₇	—	4	1	no	—
561	C₄⋊Dic₇	—	4	1	no	—
562	C₄⋊Dic₇	—	4	1	no	—
563	C₄⋊Dic₇	—	4	1	no	—
564	C₄⋊Dic₇	—	4	1	no	—
565	C₄⋊Dic₇	—	4	1	no	—
566	C₄⋊Dic₇	—	4	1	no	—
567	C₄⋊Dic₇	—	4	1	no	—
568	C₄⋊Dic₇	—	4	1	no	—
569	C₄⋊Dic₇	—	4	1	no	—
570	C₄⋊Dic₇	—	4	1	no	—
571	C₄⋊Dic₇	—	4	1	no	—
572	C₄⋊Dic₇	—	4	1	no	—
573	C₄⋊Dic₇	—	4	1	no	—
574	C₄×Dic₇	—	2	2	no	—
575	C₄×Dic₇	—	2	2	no	—
576	C₄×Dic₇	—	2	2	no	—
577	C₄×Dic₇	—	2	2	no	—
578	C₄×Dic₇	—	2	2	no	—
579	C₄×Dic₇	—	4	1	no	—
580	C₄×Dic₇	—	4	1	no	—
581	C₄×Dic₇	—	4	1	no	—
582	C₄×Dic₇	—	4	1	no	—
583	C₄×Dic₇	—	4	1	no	—
584	C₄×Dic₇	—	4	1	no	—
585	C₄×Dic₇	—	4	1	no	—
586	C₄×Dic₇	—	4	1	no	—
587	C₄×Dic₇	—	4	1	no	—
588	C₄×Dic₇	—	4	1	no	—
589	C₄×Dic₇	—	4	1	no	—
590	C₄×Dic₇	—	4	1	no	—
591	C₄×Dic₇	—	4	1	no	—
592	C₄×Dic₇	—	4	1	no	—
593	C₄×Dic₇	—	4	1	no	—
594	#538	Dic₇	1	16	yes	complemented
595	C₂×#126	C₂×D₇	1	1	yes	characteristic
596	C₂×#126	C₂×D₇	1	1	yes	characteristic
597	C₂×#124	C₂×D₇	1	1	yes	characteristic
598	C₂×#124	C₂×D₇	1	1	yes	characteristic
599	C₂×#123	C₂×D₇	1	1	yes	characteristic
600	C₂×#123	C₂×D₇	1	1	yes	characteristic
601	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
602	C₂×#121	C₂×D₇	1	1	yes	characteristic
603	C₂×#121	C₂×D₇	1	1	yes	characteristic
604	C₂×#121	C₂×D₇	1	1	yes	characteristic
605	C₂×#120	C₂×D₇	1	1	yes	characteristic
606	C₂×#120	C₂×D₇	1	1	yes	characteristic
607	C₂×C₄×Q₈	—	7	1	no	—
608	C₂×C₄×D₄	—	7	1	no	—
609	C₂×C₄×D₄	—	7	1	no	—
610	C₂×C₄×D₄	—	7	1	no	—
611	C₂×C₄×D₄	—	7	1	no	—
612	C₂×C₄×D₄	—	7	1	no	—
613	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
614	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
615	C₂×#117	—	7	1	no	—
616	C₂×#117	—	7	1	no	—
617	C₂×#117	—	7	1	no	—
618	C₂²×C₂²⋊C₄	—	7	1	no	—
619	C₂²×C₂²⋊C₄	—	7	1	no	—
620	C₂²×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
621	C₂²×C₄²	—	7	1	no	—
622	#391	—	7	1	no	—
623	#391	—	7	1	no	—
624	#391	—	7	1	no	—
625	#390	—	7	1	no	—
626	#390	—	7	1	no	—
627	#390	—	7	1	no	—
628	#390	—	7	1	no	—
629	#390	—	7	1	no	—
630	#390	—	7	1	no	—
631	#390	—	7	1	no	—
632	#390	—	7	1	no	—
633	#390	—	7	1	no	—
634	#389	—	7	1	no	—
635	#389	—	7	1	no	—
636	#389	—	7	1	no	—
637	#389	—	7	1	no	—
638	#389	—	7	1	no	—
639	#389	—	7	1	no	—
640	#388	—	7	1	no	—
641	#388	—	7	1	no	—
642	#388	—	7	1	no	—
643	#388	—	7	1	no	—
644	#388	—	7	1	no	—
645	#388	—	7	1	no	—
646	#388	—	7	1	no	—
647	#388	—	7	1	no	—
648	#388	—	7	1	no	—
649	#388	—	7	1	no	—
650	#388	—	7	1	no	—
651	#388	—	7	1	no	—
652	#388	—	7	1	no	—
653	#388	—	7	1	no	—
654	#388	—	7	1	no	—
655	#388	—	7	1	no	—
656	#388	—	7	1	no	—
657	#388	—	7	1	no	—
658	#388	—	7	1	no	—
659	#388	—	7	1	no	—
660	#388	—	7	1	no	—
661	#388	—	7	1	no	—
662	#388	—	7	1	no	—
663	#388	—	7	1	no	—
664	#388	—	7	1	no	—
665	#388	—	7	1	no	—
666	#388	—	7	1	no	—
667	#388	—	7	1	no	—
668	#388	—	7	1	no	—
669	#388	—	7	1	no	—
670	#388	—	7	1	no	—
671	#388	—	7	1	no	—
672	#387	—	7	1	no	—
673	#387	—	7	1	no	—
674	#387	—	7	1	no	—
675	#387	—	7	1	no	—
676	#387	—	7	1	no	—
677	#387	—	7	1	no	—
678	#387	—	7	1	no	—
679	#387	—	7	1	no	—
680	#387	—	7	1	no	—
681	#387	—	7	1	no	—
682	#387	—	7	1	no	—
683	#387	—	7	1	no	—
684	#386	—	7	1	no	—
685	#386	—	7	1	no	—
686	#386	—	7	1	no	—
687	#386	—	7	1	no	—
688	#386	—	7	1	no	—
689	#386	—	7	1	no	—
690	#386	—	7	1	no	—
691	#386	—	7	1	no	—
692	#386	—	7	1	no	—
693	#386	—	7	1	no	—
694	#386	—	7	1	no	—
695	#386	—	7	1	no	—
696	#386	—	7	1	no	—
697	#386	—	7	1	no	—
698	#385	—	7	1	no	—
699	#385	—	7	1	no	—
700	#385	—	7	1	no	—
701	#385	—	7	1	no	—
702	#385	—	7	1	no	—
703	#385	—	7	1	no	—
704	#385	—	7	1	no	—
705	#385	—	7	1	no	—
706	#385	—	7	1	no	—
707	#385	—	7	1	no	—
708	#385	—	7	1	no	—
709	#385	—	7	1	no	—
710	#384	—	7	1	no	—
711	#383	—	7	1	no	—
712	#381	—	7	1	no	—
713	#381	—	7	1	no	—
714	#381	—	7	1	no	—
715	#380	—	7	1	no	—
716	#380	—	7	1	no	—
717	#380	—	7	1	no	—
718	#380	—	7	1	no	—
719	#380	—	7	1	no	—
720	#379	—	7	1	no	—
721	#379	—	7	1	no	—
722	C₄×C₄⋊C₄	—	7	1	no	—
723	C₄×C₄⋊C₄	—	7	1	no	—
724	C₄×C₄⋊C₄	—	7	1	no	—
725	C₄×C₄⋊C₄	—	7	1	no	—
726	C₄×C₄⋊C₄	—	7	1	no	—
727	C₄×C₄⋊C₄	—	7	1	no	—
728	C₄×C₄⋊C₄	—	7	1	no	—
729	C₄×C₄⋊C₄	—	7	1	no	—
730	C₄×C₄⋊C₄	—	7	1	no	—
731	C₄×C₂²⋊C₄	—	7	1	no	—
732	C₄×C₂²⋊C₄	—	7	1	no	—
733	C₄×C₂²⋊C₄	—	7	1	no	—
734	C₄×C₂²⋊C₄	—	7	1	no	—
735	C₄×C₂²⋊C₄	—	7	1	no	—
736	C₄×C₂²⋊C₄	—	7	1	no	—
737	C₄×C₂²⋊C₄	—	7	1	no	—
738	C₄×C₂²⋊C₄	—	7	1	no	—
739	C₄×C₂²⋊C₄	—	7	1	no	—
740	C₄×C₂²⋊C₄	—	7	1	no	—
741	C₄×C₂²⋊C₄	—	7	1	no	—
742	C₄×C₂²⋊C₄	—	7	1	no	—
743	C₄×C₂²⋊C₄	—	7	1	no	—
744	C₄×C₂²⋊C₄	—	7	1	no	—
745	C₄×C₂²⋊C₄	—	7	1	no	—
746	#376	—	7	1	no	—
747	#376	—	7	1	no	—
748	#376	—	7	1	no	—
749	C₂×#95	—	7	1	no	—
750	C₂³×C₇	—	2	1	no	—
751	C₂³×C₇	—	2	1	no	—
752	C₂³×C₇	—	2	1	no	—
753	C₂³×C₇	—	2	1	no	—
754	C₂³×C₇	—	2	1	no	—
755	C₂³×C₇	—	2	1	no	—
756	C₂³×C₇	—	2	1	no	—
757	C₂³×C₇	—	2	1	no	—
758	C₂³×C₇	—	2	1	no	—
759	C₂³×C₇	—	2	1	no	—
760	C₂³×C₇	—	2	1	no	—
761	C₂³×C₇	—	2	1	no	—
762	C₂³×C₇	—	2	1	no	—
763	C₂³×C₇	—	2	1	no	—
764	C₂³×C₇	—	2	1	no	—
765	C₂³×C₇	—	2	1	no	—
766	C₂³×C₇	—	2	1	no	—
767	C₂³×C₇	—	2	1	no	—
768	C₂³×C₇	—	2	1	no	—
769	C₂³×C₇	—	2	1	no	—
770	C₂³×C₇	—	2	1	no	—
771	C₂³×C₇	—	2	1	no	—
772	C₂³×C₇	—	2	1	no	—
773	C₂³×C₇	—	2	1	no	—
774	C₂³×C₇	—	2	1	no	—
775	C₂³×C₇	—	2	1	no	—
776	C₂³×C₇	—	2	1	no	—
777	C₂³×C₇	—	2	1	no	—
778	C₂³×C₇	—	2	1	no	—
779	C₂³×C₇	—	2	1	no	—
780	C₂³×C₇	—	4	4	no	—
781	C₂³×C₇	—	4	4	no	—
782	C₂³×C₇	—	4	4	no	—
783	C₂³×C₇	—	8	2	no	—
784	C₂³×C₇	—	8	2	no	—
785	C₂³×C₇	—	8	2	no	—
786	C₂³×C₇	—	8	2	no	—
787	C₂³×C₇	C₂³×C₄	1	2	yes	—
788	C₂³×C₇	C₂³×C₄	1	2	yes	—
789	C₂³×C₇	C₂³×C₄	1	2	yes	—
790	C₂³×C₇	C₂³×C₄	1	2	yes	—
791	C₂³×C₇	C₂³×C₄	1	2	yes	—
792	C₂³×C₇	C₂⁵	1	1	yes	characteristic
793	C₇×Q₈	—	4	4	no	—
794	C₇×D₄	—	4	4	no	—
795	C₇×D₄	—	4	4	no	—
796	C₇×D₄	—	4	4	no	—
797	C₇×D₄	—	4	4	no	—
798	C₇×D₄	—	4	4	no	—
799	C₇×D₄	—	4	4	no	—
800	C₇×D₄	—	4	4	no	—
801	C₂×C₄×C₇	—	2	1	no	—
802	C₂×C₄×C₇	—	2	1	no	—
803	C₂×C₄×C₇	—	2	1	no	—
804	C₂×C₄×C₇	—	2	1	no	—
805	C₂×C₄×C₇	—	2	1	no	—
806	C₂×C₄×C₇	—	2	1	no	—
807	C₂×C₄×C₇	—	2	1	no	—
808	C₂×C₄×C₇	—	2	1	no	—
809	C₂×C₄×C₇	—	2	1	no	—
810	C₂×C₄×C₇	—	2	1	no	—
811	C₂×C₄×C₇	—	2	1	no	—
812	C₂×C₄×C₇	—	2	1	no	—
813	C₂×C₄×C₇	—	2	1	no	—
814	C₂×C₄×C₇	—	2	1	no	—
815	C₂×C₄×C₇	—	2	1	no	—
816	C₂×C₄×C₇	—	2	1	no	—
817	C₂×C₄×C₇	—	2	1	no	—
818	C₂×C₄×C₇	—	2	1	no	—
819	C₂×C₄×C₇	—	2	1	no	—
820	C₂×C₄×C₇	—	2	1	no	—
821	C₂×C₄×C₇	—	4	4	no	—
822	C₂×C₄×C₇	—	4	4	no	—
823	C₂×C₄×C₇	—	4	4	no	—
824	C₂×C₄×C₇	—	4	4	no	—
825	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
826	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
827	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
828	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
829	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
830	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
831	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
832	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
833	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
834	C₂×C₄×C₇	C₂³×C₄	1	2	yes	—
835	C₂×Dic₇	—	2	1	no	—
836	C₂×Dic₇	—	2	1	no	—
837	C₂×Dic₇	—	2	1	no	—
838	C₂×Dic₇	—	2	1	no	—
839	C₂×Dic₇	—	2	1	no	—
840	C₂×Dic₇	—	2	1	no	—
841	C₂×Dic₇	—	2	1	no	—
842	C₂×Dic₇	—	2	1	no	—
843	C₂×Dic₇	—	2	1	no	—
844	C₂×Dic₇	—	2	1	no	—
845	C₂×Dic₇	—	2	1	no	—
846	C₂×Dic₇	—	2	1	no	—
847	C₂×Dic₇	—	2	1	no	—
848	C₂×Dic₇	—	2	1	no	—
849	C₂×Dic₇	—	2	1	no	—
850	C₂×Dic₇	—	2	1	no	—
851	C₂×Dic₇	—	2	1	no	—
852	C₂×Dic₇	—	2	1	no	—
853	C₂×Dic₇	—	2	1	no	—
854	C₂×Dic₇	—	2	1	no	—
855	C₂×Dic₇	—	2	1	no	—
856	C₂×Dic₇	—	2	1	no	—
857	C₂×Dic₇	—	2	1	no	—
858	C₂×Dic₇	—	2	1	no	—
859	C₂×Dic₇	—	2	1	no	—
860	C₂×Dic₇	—	2	1	no	—
861	C₂×Dic₇	—	2	1	no	—
862	C₂×Dic₇	—	2	1	no	—
863	C₂×Dic₇	—	2	1	no	—
864	C₂×Dic₇	—	2	1	no	—
865	C₂×Dic₇	—	2	1	no	—
866	C₂×Dic₇	—	2	1	no	—
867	C₂×Dic₇	—	2	1	no	—
868	C₂×Dic₇	—	2	1	no	—
869	C₂×Dic₇	—	2	1	no	—
870	C₂×Dic₇	—	2	1	no	—
871	C₂×Dic₇	—	2	1	no	—
872	C₂×Dic₇	—	2	1	no	—
873	C₂×Dic₇	—	2	1	no	—
874	C₂×Dic₇	—	2	1	no	—
875	C₂×Dic₇	—	2	1	no	—
876	C₂×Dic₇	—	2	1	no	—
877	C₂×Dic₇	—	2	1	no	—
878	C₂×Dic₇	—	2	1	no	—
879	C₂×Dic₇	—	2	1	no	—
880	C₂×Dic₇	—	2	1	no	—
881	C₂×Dic₇	—	4	4	no	—
882	C₂×Dic₇	—	4	4	no	—
883	C₂×Dic₇	—	8	2	no	—
884	C₂×Dic₇	—	8	2	no	—
885	C₂×Dic₇	—	8	2	no	—
886	C₂×Dic₇	—	8	2	no	—
887	C₂×Dic₇	—	8	2	no	—
888	C₂×Dic₇	—	8	2	no	—
889	C₂×Dic₇	H(5,𝔽₂)	1	2	yes	—
890	C₂×Dic₇	H(5,𝔽₂)	1	2	yes	—
891	C₂⁵	C₂²×D₇	1	1	yes	characteristic
892	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
893	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
894	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
895	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
896	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
897	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
898	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
899	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
900	C₂³×C₄	—	7	1	no	—
901	C₂³×C₄	—	7	1	no	—
902	C₂³×C₄	—	7	1	no	—
903	C₂³×C₄	—	7	1	no	—
904	C₂³×C₄	—	7	1	no	—
905	C₂³×C₄	—	7	1	no	—
906	C₂³×C₄	—	7	1	no	—
907	C₂³×C₄	—	7	1	no	—
908	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
909	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
910	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
911	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
912	#126	C₂×Dic₇	1	8	yes	complemented
913	#126	C₂×Dic₇	1	8	yes	complemented
914	#124	C₂×Dic₇	1	8	yes	complemented
915	#124	C₂×Dic₇	1	8	yes	complemented
916	#123	C₂×Dic₇	1	8	yes	complemented
917	#123	C₂×Dic₇	1	8	yes	complemented
918	C₂²⋊Q₈	C₂×Dic₇	1	8	yes	complemented
919	#121	C₂×Dic₇	1	8	yes	complemented
920	#121	C₂×Dic₇	1	8	yes	complemented
921	#121	C₂×Dic₇	1	8	yes	complemented
922	#120	C₂×Dic₇	1	8	yes	complemented
923	#120	C₂×Dic₇	1	8	yes	complemented
924	C₄×Q₈	—	28	2	no	—
925	C₄×D₄	—	28	2	no	—
926	C₄×D₄	—	28	2	no	—
927	C₄×D₄	—	28	2	no	—
928	C₄×D₄	—	28	2	no	—
929	C₄×D₄	—	28	2	no	—
930	C₄×D₄	C₂×Dic₇	1	8	yes	complemented
931	C₄×D₄	C₂×Dic₇	1	8	yes	complemented
932	#117	—	28	2	no	—
933	#117	—	28	2	no	—
934	#117	—	28	2	no	—
935	C₂×C₄⋊C₄	—	7	1	no	—
936	C₂×C₄⋊C₄	—	7	1	no	—
937	C₂×C₄⋊C₄	—	7	1	no	—
938	C₂×C₄⋊C₄	—	7	1	no	—
939	C₂×C₄⋊C₄	—	7	1	no	—
940	C₂×C₄⋊C₄	—	7	1	no	—
941	C₂×C₄⋊C₄	—	7	1	no	—
942	C₂×C₄⋊C₄	—	7	1	no	—
943	C₂×C₄⋊C₄	—	7	1	no	—
944	C₂×C₄⋊C₄	—	7	1	no	—
945	C₂×C₄⋊C₄	—	7	1	no	—
946	C₂×C₄⋊C₄	—	7	1	no	—
947	C₂×C₄⋊C₄	—	7	1	no	—
948	C₂×C₄⋊C₄	—	7	1	no	—
949	C₂×C₄⋊C₄	—	7	1	no	—
950	C₂×C₄⋊C₄	—	7	1	no	—
951	C₂×C₄⋊C₄	—	7	1	no	—
952	C₂×C₄⋊C₄	—	7	1	no	—
953	C₂×C₄⋊C₄	—	7	1	no	—
954	C₂×C₄⋊C₄	—	7	1	no	—
955	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	—	7	1	no	—
962	C₂×C₂²⋊C₄	—	7	1	no	—
963	C₂×C₂²⋊C₄	—	7	1	no	—
964	C₂×C₂²⋊C₄	—	7	1	no	—
965	C₂×C₂²⋊C₄	—	7	1	no	—
966	C₂×C₂²⋊C₄	—	7	1	no	—
967	C₂×C₂²⋊C₄	—	7	1	no	—
968	C₂×C₂²⋊C₄	—	7	1	no	—
969	C₂×C₂²⋊C₄	—	7	1	no	—
970	C₂×C₂²⋊C₄	—	7	1	no	—
971	C₂×C₂²⋊C₄	—	7	1	no	—
972	C₂×C₂²⋊C₄	—	7	1	no	—
973	C₂×C₂²⋊C₄	—	7	1	no	—
974	C₂×C₂²⋊C₄	—	7	1	no	—
975	C₂×C₂²⋊C₄	—	7	1	no	—
976	C₂×C₂²⋊C₄	—	7	1	no	—
977	C₂×C₂²⋊C₄	—	7	1	no	—
978	C₂×C₂²⋊C₄	—	7	1	no	—
979	C₂×C₂²⋊C₄	—	7	1	no	—
980	C₂×C₂²⋊C₄	—	7	1	no	—
981	C₂×C₂²⋊C₄	—	7	1	no	—
982	C₂×C₂²⋊C₄	—	7	1	no	—
983	C₂×C₂²⋊C₄	—	7	1	no	—
984	C₂×C₂²⋊C₄	—	7	1	no	—
985	C₂×C₂²⋊C₄	—	7	1	no	—
986	C₂×C₂²⋊C₄	—	7	1	no	—
987	C₂×C₂²⋊C₄	—	7	1	no	—
988	C₂×C₂²⋊C₄	—	7	1	no	—
989	C₂×C₂²⋊C₄	—	7	1	no	—
990	C₂×C₂²⋊C₄	—	7	1	no	—
991	C₂×C₂²⋊C₄	—	7	1	no	—
992	C₂×C₂²⋊C₄	—	7	1	no	—
993	C₂×C₂²⋊C₄	—	28	2	no	—
994	C₂×C₂²⋊C₄	—	28	2	no	—
995	C₂×C₂²⋊C₄	C₂×Dic₇	1	8	yes	complemented
996	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1004	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1010	C₂×C₄²	—	7	1	no	—
1011	C₂×C₄²	—	7	1	no	—
1012	C₂×C₄²	—	7	1	no	—
1013	C₂×C₄²	—	7	1	no	—
1014	C₂×C₄²	—	7	1	no	—
1015	C₂×C₄²	—	7	1	no	—
1016	C₂×C₄²	—	7	1	no	—
1017	C₂×C₄²	—	7	1	no	—
1018	C₂×C₄²	—	7	1	no	—
1019	C₂×C₄²	—	7	1	no	—
1020	C₂×C₄²	—	7	1	no	—
1021	C₂×C₄²	—	7	1	no	—
1022	C₂×C₄²	—	7	1	no	—
1023	C₂×C₄²	—	7	1	no	—
1024	C₂×C₄²	—	7	1	no	—
1025	C₂×C₄²	—	7	1	no	—
1026	C₂×C₄²	—	7	1	no	—
1027	C₂×C₄²	—	7	1	no	—
1028	C₂×C₄²	—	7	1	no	—
1029	C₂×C₄²	—	7	1	no	—
1030	C₂×C₄²	—	28	2	no	—
1031	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1032	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1033	#95	—	7	1	no	—
1034	#95	—	7	1	no	—
1035	#95	—	7	1	no	—
1036	#95	—	7	1	no	—
1037	#95	—	7	1	no	—
1038	#95	—	7	1	no	—
1039	#95	—	7	1	no	—
1040	#95	—	7	1	no	—
1041	#95	—	7	1	no	—
1042	#95	—	7	1	no	—
1043	#95	—	7	1	no	—
1044	#95	—	7	1	no	—
1045	#95	—	7	1	no	—
1046	#95	—	7	1	no	—
1047	#95	—	7	1	no	—
1048	#95	—	7	1	no	—
1049	#95	—	7	1	no	—
1050	#95	—	7	1	no	—
1051	#95	—	7	1	no	—
1052	#95	—	7	1	no	—
1053	#95	—	7	1	no	—
1054	#95	—	7	1	no	—
1055	#95	—	7	1	no	—
1056	#95	—	7	1	no	—
1057	#95	—	7	1	no	—
1058	#95	—	7	1	no	—
1059	#95	—	7	1	no	—
1060	#95	—	7	1	no	—
1061	#95	—	7	1	no	—
1062	#95	—	7	1	no	—
1063	#95	—	7	1	no	—
1064	#95	—	7	1	no	—
1065	#95	—	7	1	no	—
1066	#95	—	7	1	no	—
1067	#95	—	7	1	no	—
1068	#95	—	7	1	no	—
1069	#95	—	7	1	no	—
1070	#95	—	7	1	no	—
1071	#95	—	7	1	no	—
1072	#95	—	7	1	no	—
1073	C₂²×C₇	—	2	2	no	—
1074	C₂²×C₇	—	2	2	no	—
1075	C₂²×C₇	—	2	2	no	—
1076	C₂²×C₇	—	2	2	no	—
1077	C₂²×C₇	—	2	2	no	—
1078	C₂²×C₇	—	2	2	no	—
1079	C₂²×C₇	—	2	2	no	—
1080	C₂²×C₇	—	2	2	no	—
1081	C₂²×C₇	—	2	2	no	—
1082	C₂²×C₇	—	2	2	no	—
1083	C₂²×C₇	—	2	2	no	—
1084	C₂²×C₇	—	2	2	no	—
1085	C₂²×C₇	—	2	2	no	—
1086	C₂²×C₇	—	2	2	no	—
1087	C₂²×C₇	—	2	2	no	—
1088	C₂²×C₇	—	4	1	no	—
1089	C₂²×C₇	—	4	1	no	—
1090	C₂²×C₇	—	4	1	no	—
1091	C₂²×C₇	—	4	1	no	—
1092	C₂²×C₇	—	4	1	no	—
1093	C₂²×C₇	—	4	1	no	—
1094	C₂²×C₇	—	4	1	no	—
1095	C₂²×C₇	—	4	1	no	—
1096	C₂²×C₇	—	4	1	no	—
1097	C₂²×C₇	—	4	1	no	—
1098	C₂²×C₇	—	4	1	no	—
1099	C₂²×C₇	—	4	1	no	—
1100	C₂²×C₇	—	4	1	no	—
1101	C₂²×C₇	—	4	1	no	—
1102	C₂²×C₇	—	4	1	no	—
1103	C₂²×C₇	—	4	1	no	—
1104	C₂²×C₇	—	4	1	no	—
1105	C₂²×C₇	—	4	1	no	—
1106	C₂²×C₇	—	4	1	no	—
1107	C₂²×C₇	—	4	1	no	—
1108	C₂²×C₇	—	8	8	no	—
1109	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1110	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1111	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1112	C₂²×C₇	#585	1	1	yes	characteristic
1113	C₂²×C₇	#585	1	1	yes	characteristic
1114	C₂²×C₇	#585	1	1	yes	characteristic
1115	C₂²×C₇	#585	1	1	yes	characteristic
1116	C₄×C₇	—	2	2	no	—
1117	C₄×C₇	—	2	2	no	—
1118	C₄×C₇	—	2	2	no	—
1119	C₄×C₇	—	2	2	no	—
1120	C₄×C₇	—	2	2	no	—
1121	C₄×C₇	—	2	2	no	—
1122	C₄×C₇	—	2	2	no	—
1123	C₄×C₇	—	2	2	no	—
1124	C₄×C₇	—	2	2	no	—
1125	C₄×C₇	—	2	2	no	—
1126	Dic₇	—	2	2	no	—
1127	Dic₇	—	2	2	no	—
1128	Dic₇	—	4	1	no	—
1129	Dic₇	—	4	1	no	—
1130	Dic₇	—	4	1	no	—
1131	Dic₇	—	4	1	no	—
1132	Dic₇	—	4	1	no	—
1133	Dic₇	—	4	1	no	—
1134	Dic₇	—	4	1	no	—
1135	Dic₇	—	4	1	no	—
1136	Dic₇	—	4	1	no	—
1137	Dic₇	—	4	1	no	—
1138	Dic₇	—	4	1	no	—
1139	Dic₇	—	4	1	no	—
1140	Dic₇	—	4	1	no	—
1141	Dic₇	—	4	1	no	—
1142	C₂⁴	—	4	1	no	—
1143	C₂⁴	—	4	1	no	—
1144	C₂⁴	—	4	1	no	—
1145	C₂⁴	—	4	1	no	—
1146	C₂⁴	—	4	1	no	—
1147	C₂⁴	—	4	1	no	—
1148	C₂⁴	C₂²×Dic₇	1	4	yes	—
1149	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1150	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1151	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1152	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1153	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1154	C₂×Q₈	—	4	1	no	—
1155	C₂×Q₈	—	4	1	no	—
1156	C₂×Q₈	C₂²×Dic₇	1	4	yes	—
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	4	1	no	—
1159	C₂×D₄	—	4	1	no	—
1160	C₂×D₄	—	4	1	no	—
1161	C₂×D₄	—	4	1	no	—
1162	C₂×D₄	—	4	1	no	—
1163	C₂×D₄	—	4	1	no	—
1164	C₂×D₄	—	4	1	no	—
1165	C₂×D₄	—	4	1	no	—
1166	C₂×D₄	—	4	1	no	—
1167	C₂×D₄	—	4	1	no	—
1168	C₂×D₄	—	4	1	no	—
1169	C₂×D₄	—	4	1	no	—
1170	C₂×D₄	—	4	1	no	—
1171	C₂×D₄	C₂²×Dic₇	1	4	yes	—
1172	C₂×D₄	C₂²×Dic₇	1	4	yes	—
1173	C₂×D₄	C₂²×Dic₇	1	4	yes	—
1174	C₂×D₄	C₂²×Dic₇	1	4	yes	—
1175	C₂×D₄	C₂²×Dic₇	1	4	yes	—
1176	C₂×D₄	C₂²×Dic₇	1	4	yes	—
1177	C₂×D₄	C₂²×Dic₇	1	4	yes	—
1178	C₂²×C₄	—	4	1	no	—
1179	C₂²×C₄	—	4	1	no	—
1180	C₂²×C₄	—	4	1	no	—
1181	C₂²×C₄	—	4	1	no	—
1182	C₂²×C₄	—	4	1	no	—
1183	C₂²×C₄	—	4	1	no	—
1184	C₂²×C₄	—	4	1	no	—
1185	C₂²×C₄	—	4	1	no	—
1186	C₂²×C₄	—	7	1	no	—
1187	C₂²×C₄	—	7	1	no	—
1188	C₂²×C₄	—	7	1	no	—
1189	C₂²×C₄	—	7	1	no	—
1190	C₂²×C₄	—	7	1	no	—
1191	C₂²×C₄	—	7	1	no	—
1192	C₂²×C₄	—	7	1	no	—
1193	C₂²×C₄	—	7	1	no	—
1194	C₂²×C₄	—	7	1	no	—
1195	C₂²×C₄	—	7	1	no	—
1196	C₂²×C₄	—	7	1	no	—
1197	C₂²×C₄	—	7	1	no	—
1198	C₂²×C₄	—	7	1	no	—
1199	C₂²×C₄	—	7	1	no	—
1200	C₂²×C₄	—	7	1	no	—
1201	C₂²×C₄	—	7	1	no	—
1202	C₂²×C₄	—	14	2	no	—
1203	C₂²×C₄	—	14	2	no	—
1204	C₂²×C₄	—	14	2	no	—
1205	C₂²×C₄	—	14	2	no	—
1206	C₂²×C₄	—	14	2	no	—
1207	C₂²×C₄	—	28	1	no	—
1208	C₂²×C₄	—	28	1	no	—
1209	C₂²×C₄	—	28	1	no	—
1210	C₂²×C₄	—	28	1	no	—
1211	C₂²×C₄	—	28	1	no	—
1212	C₂²×C₄	—	28	1	no	—
1213	C₂²×C₄	—	28	1	no	—
1214	C₂²×C₄	—	28	1	no	—
1215	C₂²×C₄	—	28	1	no	—
1216	C₂²×C₄	—	28	1	no	—
1217	C₂²×C₄	—	28	1	no	—
1218	C₂²×C₄	—	28	1	no	—
1219	C₂²×C₄	—	28	1	no	—
1220	C₂²×C₄	—	28	1	no	—
1221	C₂²×C₄	—	28	1	no	—
1222	C₂²×C₄	—	28	1	no	—
1223	C₂²×C₄	—	28	1	no	—
1224	C₂²×C₄	—	28	1	no	—
1225	C₂²×C₄	—	28	1	no	—
1226	C₂²×C₄	C₂²×Dic₇	1	4	yes	—
1227	C₂²×C₄	C₂²×Dic₇	1	4	yes	—
1228	C₂²×C₄	C₂²×Dic₇	1	4	yes	—
1229	C₂²×C₄	C₂²×Dic₇	1	4	yes	—
1230	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1231	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1232	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1233	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1234	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1235	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1236	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1237	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1238	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1239	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1240	C₄⋊C₄	—	14	2	no	—
1241	C₄⋊C₄	—	14	2	no	—
1242	C₄⋊C₄	—	14	2	no	—
1243	C₄⋊C₄	—	28	1	no	—
1244	C₄⋊C₄	—	28	1	no	—
1245	C₄⋊C₄	—	28	1	no	—
1246	C₄⋊C₄	—	28	1	no	—
1247	C₄⋊C₄	—	28	1	no	—
1248	C₄⋊C₄	—	28	1	no	—
1249	C₄⋊C₄	—	28	1	no	—
1250	C₄⋊C₄	—	28	1	no	—
1251	C₄⋊C₄	—	28	1	no	—
1252	C₄⋊C₄	—	28	1	no	—
1253	C₄⋊C₄	—	28	1	no	—
1254	C₄⋊C₄	—	28	1	no	—
1255	C₄⋊C₄	—	28	1	no	—
1256	C₄⋊C₄	—	28	1	no	—
1257	C₄⋊C₄	—	28	1	no	—
1258	C₄⋊C₄	—	28	1	no	—
1259	C₄⋊C₄	—	28	1	no	—
1260	C₄⋊C₄	C₂²×Dic₇	1	4	yes	—
1261	C₄⋊C₄	C₂²×Dic₇	1	4	yes	—
1262	C₄⋊C₄	C₂²×Dic₇	1	4	yes	—
1263	C₄⋊C₄	C₂²×Dic₇	1	4	yes	—
1264	C₄⋊C₄	C₂²×Dic₇	1	4	yes	—
1265	C₄⋊C₄	C₂²×Dic₇	1	4	yes	—
1266	C₂²⋊C₄	—	14	2	no	—
1267	C₂²⋊C₄	—	14	2	no	—
1268	C₂²⋊C₄	—	14	2	no	—
1269	C₂²⋊C₄	—	14	2	no	—
1270	C₂²⋊C₄	—	14	2	no	—
1271	C₂²⋊C₄	—	28	1	no	—
1272	C₂²⋊C₄	—	28	1	no	—
1273	C₂²⋊C₄	—	28	1	no	—
1274	C₂²⋊C₄	—	28	1	no	—
1275	C₂²⋊C₄	—	28	1	no	—
1276	C₂²⋊C₄	—	28	1	no	—
1277	C₂²⋊C₄	—	28	1	no	—
1278	C₂²⋊C₄	—	28	1	no	—
1279	C₂²⋊C₄	—	28	1	no	—
1280	C₂²⋊C₄	—	28	1	no	—
1281	C₂²⋊C₄	—	28	1	no	—
1282	C₂²⋊C₄	—	28	1	no	—
1283	C₂²⋊C₄	—	28	1	no	—
1284	C₂²⋊C₄	—	28	1	no	—
1285	C₂²⋊C₄	—	28	1	no	—
1286	C₂²⋊C₄	—	28	1	no	—
1287	C₂²⋊C₄	—	28	1	no	—
1288	C₂²⋊C₄	—	28	1	no	—
1289	C₂²⋊C₄	—	28	1	no	—
1290	C₂²⋊C₄	—	28	1	no	—
1291	C₂²⋊C₄	—	28	1	no	—
1292	C₂²⋊C₄	—	28	1	no	—
1293	C₂²⋊C₄	—	28	1	no	—
1294	C₂²⋊C₄	—	28	1	no	—
1295	C₂²⋊C₄	—	28	1	no	—
1296	C₂²⋊C₄	—	28	1	no	—
1297	C₂²⋊C₄	—	28	1	no	—
1298	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1299	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1300	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1301	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1302	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1303	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1304	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1305	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1306	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1307	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1308	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1309	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1310	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1311	C₂²⋊C₄	C₂²×Dic₇	1	4	yes	—
1312	C₄²	—	14	2	no	—
1313	C₄²	—	14	2	no	—
1314	C₄²	—	14	2	no	—
1315	C₄²	—	14	2	no	—
1316	C₄²	—	14	2	no	—
1317	C₄²	—	28	1	no	—
1318	C₄²	—	28	1	no	—
1319	C₄²	—	28	1	no	—
1320	C₄²	—	28	1	no	—
1321	C₄²	—	28	1	no	—
1322	C₄²	—	28	1	no	—
1323	C₄²	—	28	1	no	—
1324	C₄²	—	28	1	no	—
1325	C₄²	—	28	1	no	—
1326	C₄²	—	28	1	no	—
1327	C₄²	—	28	1	no	—
1328	C₄²	—	28	1	no	—
1329	C₄²	—	28	1	no	—
1330	C₄²	—	28	1	no	—
1331	C₄²	—	28	1	no	—
1332	C₄²	C₂²×Dic₇	1	4	yes	—
1333	C₄²	C₂²×Dic₇	1	4	yes	—
1334	C₂×C₇	—	4	2	no	—
1335	C₂×C₇	—	4	2	no	—
1336	C₂×C₇	—	4	2	no	—
1337	C₂×C₇	—	4	2	no	—
1338	C₂×C₇	—	4	2	no	—
1339	C₂×C₇	#3428	1	1	yes	characteristic
1340	C₂×C₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1341	C₂×C₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1342	C₂×C₇	#3533	1	1	yes	characteristic
1343	C₂×C₇	#3542	1	1	yes	characteristic
1344	C₂×C₇	#3551	1	1	yes	characteristic
1345	C₂×C₇	#3568	1	1	yes	characteristic
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	4	4	no	—
1377	C₂³	—	4	4	no	—
1378	C₂³	—	4	4	no	—
1379	C₂³	—	8	2	no	—
1380	C₂³	—	8	2	no	—
1381	C₂³	—	8	2	no	—
1382	C₂³	—	8	2	no	—
1383	C₂³	C₂³×Dic₇	1	2	yes	—
1384	C₂³	C₂³×Dic₇	1	2	yes	—
1385	C₂³	C₂³×Dic₇	1	2	yes	—
1386	C₂³	C₂³×Dic₇	1	2	yes	—
1387	C₂³	C₂³×Dic₇	1	2	yes	—
1388	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1389	Q₈	—	4	4	no	—
1390	D₄	—	4	4	no	—
1391	D₄	—	4	4	no	—
1392	D₄	—	4	4	no	—
1393	D₄	—	4	4	no	—
1394	D₄	—	4	4	no	—
1395	D₄	—	4	4	no	—
1396	D₄	—	4	4	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	4	4	no	—
1418	C₂×C₄	—	4	4	no	—
1419	C₂×C₄	—	4	4	no	—
1420	C₂×C₄	—	4	4	no	—
1421	C₂×C₄	—	7	2	no	—
1422	C₂×C₄	—	7	2	no	—
1423	C₂×C₄	—	14	1	no	—
1424	C₂×C₄	—	14	1	no	—
1425	C₂×C₄	—	14	1	no	—
1426	C₂×C₄	—	14	1	no	—
1427	C₂×C₄	—	14	1	no	—
1428	C₂×C₄	—	14	1	no	—
1429	C₂×C₄	—	14	1	no	—
1430	C₂×C₄	—	14	1	no	—
1431	C₂×C₄	—	14	1	no	—
1432	C₂×C₄	—	14	1	no	—
1433	C₂×C₄	—	14	1	no	—
1434	C₂×C₄	—	14	1	no	—
1435	C₂×C₄	—	14	1	no	—
1436	C₂×C₄	—	14	1	no	—
1437	C₂×C₄	—	14	1	no	—
1438	C₂×C₄	—	14	1	no	—
1439	C₂×C₄	—	14	1	no	—
1440	C₂×C₄	—	14	1	no	—
1441	C₂×C₄	—	14	1	no	—
1442	C₂×C₄	—	14	1	no	—
1443	C₂×C₄	—	14	1	no	—
1444	C₂×C₄	—	14	1	no	—
1445	C₂×C₄	—	14	1	no	—
1446	C₂×C₄	—	14	1	no	—
1447	C₂×C₄	—	14	1	no	—
1448	C₂×C₄	—	14	1	no	—
1449	C₂×C₄	—	14	1	no	—
1450	C₂×C₄	—	14	1	no	—
1451	C₂×C₄	—	14	1	no	—
1452	C₂×C₄	—	14	1	no	—
1453	C₂×C₄	—	14	1	no	—
1454	C₂×C₄	—	14	1	no	—
1455	C₂×C₄	—	14	1	no	—
1456	C₂×C₄	—	14	1	no	—
1457	C₂×C₄	—	14	1	no	—
1458	C₂×C₄	—	14	1	no	—
1459	C₂×C₄	—	14	1	no	—
1460	C₂×C₄	—	14	1	no	—
1461	C₂×C₄	—	14	1	no	—
1462	C₂×C₄	—	14	1	no	—
1463	C₂×C₄	—	14	1	no	—
1464	C₂×C₄	—	14	1	no	—
1465	C₂×C₄	—	14	1	no	—
1466	C₂×C₄	—	14	1	no	—
1467	C₂×C₄	—	14	1	no	—
1468	C₂×C₄	—	14	1	no	—
1469	C₂×C₄	—	28	4	no	—
1470	C₂×C₄	—	28	4	no	—
1471	C₂×C₄	—	56	2	no	—
1472	C₂×C₄	—	56	2	no	—
1473	C₂×C₄	—	56	2	no	—
1474	C₂×C₄	—	56	2	no	—
1475	C₂×C₄	—	56	2	no	—
1476	C₂×C₄	—	56	2	no	—
1477	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1478	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1479	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1480	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1481	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1482	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1483	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1484	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1485	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1486	C₂×C₄	C₂³×Dic₇	1	2	yes	—
1487	C₇	#34451	1	1	yes	characteristic, complemented, Sylow
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	2	2	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	8	8	no	—
1524	C₂²	#90616	1	1	yes	characteristic
1525	C₂²	#90616	1	1	yes	characteristic
1526	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1527	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1528	C₂²	#90618	1	1	yes	characteristic
1529	C₂²	#90618	1	1	yes	characteristic
1530	C₂²	C₂⁴×Dic₇	1	1	yes	characteristic
1531	C₄	—	2	2	no	—
1532	C₄	—	2	2	no	—
1533	C₄	—	2	2	no	—
1534	C₄	—	2	2	no	—
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	2	2	no	—
1538	C₄	—	2	2	no	—
1539	C₄	—	2	2	no	—
1540	C₄	—	2	2	no	—
1541	C₄	—	14	2	no	—
1542	C₄	—	14	2	no	—
1543	C₄	—	28	1	no	—
1544	C₄	—	28	1	no	—
1545	C₄	—	28	1	no	—
1546	C₄	—	28	1	no	—
1547	C₄	—	28	1	no	—
1548	C₄	—	28	1	no	—
1549	C₄	—	28	1	no	—
1550	C₄	—	28	1	no	—
1551	C₄	—	28	1	no	—
1552	C₄	—	28	1	no	—
1553	C₄	—	28	1	no	—
1554	C₄	—	28	1	no	—
1555	C₄	—	28	1	no	—
1556	C₄	—	28	1	no	—
1557	C₂	—	4	2	no	—
1558	C₂	—	4	2	no	—
1559	C₂	—	4	2	no	—
1560	C₂	—	4	2	no	—
1561	C₂	—	4	2	no	—
1562	C₂	#11743468	1	1	yes	characteristic
1563	C₂	#11743470	1	1	yes	characteristic
1564	C₂	#11743480	1	1	yes	characteristic
1565	C₂	#11743487	1	1	yes	characteristic
1566	C₂	#11744328	1	1	yes	characteristic
1567	C₂	Dic₇×H(5,𝔽₂)	1	1	yes	characteristic
1568	C₂	Dic₇×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator	C₂²×C₇	C₂⁴×C₄
Fitting, prime radical	C₂×C₇×#538	C₂
socle, cosocle	C₂³×C₇	C₂⁵
hypercenter	C₂×#538	D₇
hypocenter	C₇	#34451
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ C₂×#538

Complements

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

N	H ≅ G/N	type
2. #11740521	C₂	semidirect
3. #11740520	C₂	semidirect
4. #11740520	C₂	semidirect
5. #11740520	C₂	semidirect
6. #11740401	C₂	semidirect
7. #11740400	C₂	semidirect
8. #11740399	C₂	semidirect
9. #11740398	C₂	semidirect
10. #11740285	C₂	semidirect
11. #11740283	C₂	semidirect
12. #11740282	C₂	semidirect
13. Dic₇×#123	C₂	semidirect
14. #11740195	C₂	semidirect
15. #11740193	C₂	semidirect
16. #11740080	C₂	semidirect
17. #11740080	C₂	semidirect
18. #11740079	C₂	semidirect
19. #11740078	C₂	semidirect
20. #11740078	C₂	semidirect
21. Dic₇×#121	C₂	semidirect
22. #11740025	C₂	semidirect
23. #11740024	C₂	semidirect
24. #11740023	C₂	semidirect
25. #11740023	C₂	semidirect
26. #11739782	C₂	semidirect
27. #11739781	C₂	semidirect
28. #11739770	C₂	semidirect
29. #11739763	C₂	semidirect
30. #11739542	C₂	semidirect
31. #11739542	C₂	semidirect
32. C₇×#538	C₄	semidirect
50. C₂×Q₈×Dic₇	C₂²	semidirect
55. C₂×D₄×Dic₇	C₂²	semidirect
58. C₂×#6489	C₂²	semidirect
59. C₂²×C₄×Dic₇	C₂²	semidirect
62. #90002	C₂²	semidirect
63. #90002	C₂²	semidirect
64. #90002	C₂²	semidirect
73. #89993	C₂²	semidirect
86. #89992	C₂²	semidirect
87. #89992	C₂²	semidirect
90. #89984	C₂²	semidirect
91. #89984	C₂²	semidirect
92. #89984	C₂²	semidirect
95. #89983	C₂²	semidirect
98. C₄×C₂²⋊Dic₇	C₂²	semidirect
99. C₂×C₇⋊#95	C₂²	semidirect
100. #89757	C₂²	semidirect
101. #89757	C₂²	semidirect
102. #89757	C₂²	semidirect
103. #89757	C₂²	semidirect
104. #89757	C₂²	semidirect
105. #89757	C₂²	semidirect
106. #89753	C₂²	semidirect
107. #89753	C₂²	semidirect
108. #89753	C₂²	semidirect
109. #89753	C₂²	semidirect
110. #89753	C₂²	semidirect
111. #89753	C₂²	semidirect
112. #89753	C₂²	semidirect
113. #89753	C₂²	semidirect
114. #89753	C₂²	semidirect
115. #89753	C₂²	semidirect
116. #89753	C₂²	semidirect
117. #89753	C₂²	semidirect
118. C₄⋊C₄×Dic₇	C₂²	semidirect
119. C₄⋊C₄×Dic₇	C₂²	semidirect
120. C₄⋊C₄×Dic₇	C₂²	semidirect
121. C₄⋊C₄×Dic₇	C₂²	semidirect
122. C₄⋊C₄×Dic₇	C₂²	semidirect
123. C₄⋊C₄×Dic₇	C₂²	semidirect
148. #89723	C₂²	semidirect
149. #89723	C₂²	semidirect
150. #89723	C₂²	semidirect
151. #89723	C₂²	semidirect
152. #89723	C₂²	semidirect
153. #89723	C₂²	semidirect
154. #89723	C₂²	semidirect
155. #89723	C₂²	semidirect
164. #89722	C₂²	semidirect
165. #89722	C₂²	semidirect
166. #89722	C₂²	semidirect
167. #89722	C₂²	semidirect
176. C₂²⋊C₄×Dic₇	C₂²	semidirect
177. C₂²⋊C₄×Dic₇	C₂²	semidirect
178. C₂²⋊C₄×Dic₇	C₂²	semidirect
179. C₂²⋊C₄×Dic₇	C₂²	semidirect
180. #89709	C₂²	semidirect
181. #89707	C₂²	semidirect
182. C₄×C₄⋊Dic₇	C₂²	semidirect
183. C₄×C₄⋊Dic₇	C₂²	semidirect
184. C₄×C₄⋊Dic₇	C₂²	semidirect
185. #89704	C₂²	semidirect
186. #89704	C₂²	semidirect
187. #89704	C₂²	semidirect
210. C₇×#126	C₂×C₄	semidirect
211. C₇×#126	C₂×C₄	semidirect
212. C₇×#124	C₂×C₄	semidirect
213. C₇×#124	C₂×C₄	semidirect
214. C₇×#123	C₂×C₄	semidirect
215. C₇×#123	C₂×C₄	semidirect
216. C₇×C₂²⋊Q₈	C₂×C₄	semidirect
217. C₇×#121	C₂×C₄	semidirect
218. C₇×#121	C₂×C₄	semidirect
219. C₇×#121	C₂×C₄	semidirect
220. C₇×#120	C₂×C₄	semidirect
221. C₇×#120	C₂×C₄	semidirect
222. C₄×C₇×D₄	C₂×C₄	semidirect
223. C₄×C₇×D₄	C₂×C₄	semidirect
230. C₂×C₇×C₂²⋊C₄	C₂×C₄	semidirect
594. #538	Dic₇	semidirect
912. #126	C₂×Dic₇	semidirect
913. #126	C₂×Dic₇	semidirect
914. #124	C₂×Dic₇	semidirect
915. #124	C₂×Dic₇	semidirect
916. #123	C₂×Dic₇	semidirect
917. #123	C₂×Dic₇	semidirect
918. C₂²⋊Q₈	C₂×Dic₇	semidirect
919. #121	C₂×Dic₇	semidirect
920. #121	C₂×Dic₇	semidirect
921. #121	C₂×Dic₇	semidirect
922. #120	C₂×Dic₇	semidirect
923. #120	C₂×Dic₇	semidirect
930. C₄×D₄	C₂×Dic₇	semidirect
931. C₄×D₄	C₂×Dic₇	semidirect
995. C₂×C₂²⋊C₄	C₂×Dic₇	semidirect
1487. C₇	#34451	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₇×#538	2
#11740521	2
#11740520	2
#11740401	2
#11740400	2
#11740399	2
#11740398	2
#11740285	2
#11740283	2
#11740282	2
Dic₇×#123	2
#11740195	2
#11740193	2
#11740080	2
#11740079	2
#11740078	2
Dic₇×#121	2
#11740025	2
#11740024	2
#11740023	2
#11739782	2
#11739781	2
#11739770	2
#11739763	2
#11739542	2
#34451	7