Subgroups — #14236202

Order 1792.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3513	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743192	C₂	1	1	yes	maximal, characteristic, complemented
3	#11741163	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741155	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741090	C₂	1	1	yes	maximal, characteristic, complemented
6	#11741074	C₂	1	1	yes	maximal, characteristic, complemented
7	#11741066	C₂	1	1	yes	maximal, characteristic, complemented
8	#11741051	C₂	1	1	yes	maximal, characteristic, complemented
9	#11741048	C₂	1	1	yes	maximal, characteristic, complemented
10	#11741036	C₂	1	1	yes	maximal, characteristic, complemented
11	#11740977	C₂	1	1	yes	maximal, characteristic, complemented
12	#11740962	C₂	1	1	yes	maximal, characteristic, complemented
13	#11740954	C₂	1	1	yes	maximal, characteristic, complemented
14	#11740954	C₂	1	1	yes	maximal, characteristic, complemented
15	#11740946	C₂	1	1	yes	maximal, characteristic, complemented
16	#11740943	C₂	1	1	yes	maximal, characteristic, complemented
17	D₄×#1142	C₂	1	1	yes	maximal, characteristic, complemented
18	#11740930	C₂	1	1	yes	maximal, characteristic, complemented
19	#11740912	C₂	1	1	yes	maximal, characteristic, complemented
20	#11740901	C₂	1	1	yes	maximal, characteristic, complemented
21	#11740879	C₂	1	1	yes	maximal, characteristic, complemented
22	#11740876	C₂	1	1	yes	maximal, characteristic, complemented
23	#11740598	C₂	1	1	yes	maximal, characteristic, complemented
24	#11740579	C₂	1	1	yes	maximal, characteristic, complemented
25	#11740571	C₂	1	1	yes	maximal, characteristic, complemented
26	#11740020	C₂	1	1	yes	maximal, characteristic, complemented
27	#11740003	C₂	1	1	yes	maximal, characteristic, complemented
28	#11739988	C₂	1	1	yes	maximal, characteristic, complemented
29	#11739986	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#1142	C₂	1	1	yes	maximal, characteristic, complemented
31	#11739756	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#559	C₂²	1	1	yes	characteristic
33	C₇×#554	C₂²	1	1	yes	characteristic
34	C₇×#553	—	2	1	no	—
35	C₇×#553	C₂²	1	1	yes	characteristic
36	C₇×#552	C₂²	1	1	yes	characteristic
37	C₇×#551	—	2	1	no	—
38	C₇×#551	—	2	1	no	—
39	C₇×#547	C₂²	1	1	yes	characteristic
40	C₇×#546	—	2	1	no	—
41	C₇×#546	C₂²	1	1	yes	characteristic
42	C₇×#546	C₂²	1	1	yes	characteristic
43	C₇×D₄²	C₂²	1	1	yes	characteristic
44	C₇×#542	C₂²	1	1	yes	characteristic
45	C₇×#540	C₂²	1	1	yes	characteristic
46	C₇×#539	—	2	1	no	—
47	C₇×#538	—	2	1	no	—
48	C₇×#529	C₂²	1	1	yes	characteristic
49	C₇×#529	C₂²	1	1	yes	characteristic
50	C₇×#525	—	2	1	no	—
51	C₂×C₇×#123	—	2	1	no	—
52	C₇×#520	C₂²	1	1	yes	characteristic
53	C₇×#518	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
55	C₂×#6513	C₂²	1	1	yes	characteristic
56	C₂²×#1142	C₂²	1	1	yes	characteristic
57	C₂²×#1142	C₂²	1	1	yes	characteristic
58	#90399	—	2	1	no	—
59	#90393	—	2	1	no	—
60	#90387	—	2	1	no	—
61	#90360	—	2	1	no	—
62	#90340	—	2	1	no	—
63	#90340	—	2	1	no	—
64	#90327	—	2	1	no	—
65	#90292	—	2	1	no	—
66	#90275	C₂²	1	1	yes	characteristic, complemented
67	#90258	C₂²	1	1	yes	characteristic, complemented
68	#90256	C₂²	1	1	yes	characteristic
69	#90243	C₂²	1	1	yes	characteristic, complemented
70	#90243	C₂²	1	1	yes	characteristic, complemented
71	#90234	C₂²	1	1	yes	characteristic, complemented
72	#90232	C₂²	1	1	yes	characteristic, complemented
73	D₄×Dic₁₄	C₂²	1	1	yes	characteristic
74	#90225	C₂²	1	1	yes	characteristic, complemented
75	#90214	C₂²	1	1	yes	characteristic, complemented
76	#90209	C₂²	1	1	yes	characteristic, complemented
77	#90207	C₂²	1	1	yes	characteristic, complemented
78	#90170	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
80	#90011	C₂²	1	1	yes	characteristic
81	#90011	C₂²	1	1	yes	characteristic
82	#90004	C₂²	1	1	yes	characteristic
83	#89990	C₂²	1	1	yes	characteristic
84	#89990	C₂²	1	1	yes	characteristic
85	#89989	C₂²	1	1	yes	characteristic
86	#89989	C₂²	1	1	yes	characteristic
87	#89987	C₂²	1	1	yes	characteristic
88	C₂×#6406	C₂²	1	1	yes	characteristic
89	#89866	C₂²	1	1	yes	characteristic, complemented
90	#89863	C₂²	1	1	yes	characteristic, complemented
91	#89861	C₂²	1	1	yes	characteristic, complemented
92	#89851	C₂²	1	1	yes	characteristic, complemented
93	#89848	C₂²	1	1	yes	characteristic
94	#89847	C₂²	1	1	yes	characteristic
95	#89844	C₂²	1	1	yes	characteristic
96	#89843	C₂²	1	1	yes	characteristic
97	#89841	C₂²	1	1	yes	characteristic, complemented
98	#89840	C₂²	1	1	yes	characteristic, complemented
99	#89838	C₂²	1	1	yes	characteristic, complemented
100	#89836	C₂²	1	1	yes	characteristic, complemented
101	#89836	C₂²	1	1	yes	characteristic, complemented
102	#89835	C₂²	1	1	yes	characteristic, complemented
103	#89835	C₂²	1	1	yes	characteristic, complemented
104	#89835	C₂²	1	1	yes	characteristic, complemented
105	#89831	C₂²	1	1	yes	characteristic, complemented
106	#89831	C₂²	1	1	yes	characteristic, complemented
107	#89828	C₂²	1	1	yes	characteristic, complemented
108	#89827	C₂²	1	1	yes	characteristic, complemented
109	#89826	C₂²	1	1	yes	characteristic, complemented
110	#89826	C₂²	1	1	yes	characteristic, complemented
111	#89826	C₂²	1	1	yes	characteristic, complemented
112	#89826	C₂²	1	1	yes	characteristic, complemented
113	#89824	C₂²	1	1	yes	characteristic, complemented
114	#89823	C₂²	1	1	yes	characteristic, complemented
115	#89822	C₂²	1	1	yes	characteristic, complemented
116	#89822	C₂²	1	1	yes	characteristic, complemented
117	#89820	C₂²	1	1	yes	characteristic, complemented
118	#89820	C₂²	1	1	yes	characteristic, complemented
119	#89817	C₂²	1	1	yes	characteristic, complemented
120	#89816	C₂²	1	1	yes	characteristic, complemented
121	#89814	C₂²	1	1	yes	characteristic, complemented
122	#89814	C₂²	1	1	yes	characteristic, complemented
123	#89813	C₂²	1	1	yes	characteristic
124	#89813	C₂²	1	1	yes	characteristic
125	#89813	C₂²	1	1	yes	characteristic, complemented
126	#89813	C₂²	1	1	yes	characteristic, complemented
127	#89812	C₂²	1	1	yes	characteristic
128	#89812	C₂²	1	1	yes	characteristic
129	#89811	C₂²	1	1	yes	characteristic
130	#89810	C₂²	1	1	yes	characteristic
131	#89809	C₂²	1	1	yes	characteristic, complemented
132	#89809	C₂²	1	1	yes	characteristic, complemented
133	#89807	C₂²	1	1	yes	characteristic
134	#89806	C₂²	1	1	yes	characteristic
135	#89806	C₂²	1	1	yes	characteristic, complemented
136	#89805	C₂²	1	1	yes	characteristic, complemented
137	#89803	C₂²	1	1	yes	characteristic, complemented
138	#89802	C₂²	1	1	yes	characteristic, complemented
139	#89802	C₂²	1	1	yes	characteristic, complemented
140	#89802	C₂²	1	1	yes	characteristic, complemented
141	C₄×#1144	C₂²	1	1	yes	characteristic, complemented
142	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
143	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
144	#89796	C₂²	1	1	yes	characteristic, complemented
145	Q₈×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
146	#89794	C₂²	1	1	yes	characteristic, complemented
147	#89791	C₂²	1	1	yes	characteristic
148	#89790	C₂²	1	1	yes	characteristic
149	#89790	C₂²	1	1	yes	characteristic
150	#89790	C₂²	1	1	yes	characteristic, complemented
151	#89790	C₂²	1	1	yes	characteristic, complemented
152	#89790	C₂²	1	1	yes	characteristic, complemented
153	#89790	C₂²	1	1	yes	characteristic, complemented
154	C₄×#1142	C₂²	1	1	yes	characteristic
155	C₄×#1142	C₂²	1	1	yes	characteristic
156	C₄×#1142	C₂²	1	1	yes	characteristic
157	C₄×#1142	C₂²	1	1	yes	characteristic
158	C₄×#1142	C₂²	1	1	yes	characteristic
159	C₄×#1142	C₂²	1	1	yes	characteristic
160	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
161	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
162	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
163	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
164	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
165	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
166	#89788	C₂²	1	1	yes	characteristic
167	#89788	C₂²	1	1	yes	characteristic
168	#89788	C₂²	1	1	yes	characteristic, complemented
169	#89788	C₂²	1	1	yes	characteristic, complemented
170	#89786	C₂²	1	1	yes	characteristic
171	#89786	C₂²	1	1	yes	characteristic
172	#89786	C₂²	1	1	yes	characteristic, complemented
173	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
174	#89784	C₂²	1	1	yes	characteristic, complemented
175	#89783	C₂²	1	1	yes	characteristic
176	#89783	C₂²	1	1	yes	characteristic, complemented
177	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
178	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	#89781	C₂²	1	1	yes	characteristic
181	#89781	C₂²	1	1	yes	characteristic
182	#89781	C₂²	1	1	yes	characteristic, complemented
183	#89780	C₂²	1	1	yes	characteristic, complemented
184	#89779	C₂²	1	1	yes	characteristic
185	#89776	C₂²	1	1	yes	characteristic, complemented
186	#89775	C₂²	1	1	yes	characteristic, complemented
187	#89772	C₂²	1	1	yes	characteristic, complemented
188	#89772	C₂²	1	1	yes	characteristic, complemented
189	#89770	C₂²	1	1	yes	characteristic, complemented
190	#89769	C₂²	1	1	yes	characteristic, complemented
191	#89769	C₂²	1	1	yes	characteristic, complemented
192	#89768	C₂²	1	1	yes	characteristic, complemented
193	#89743	C₂²	1	1	yes	characteristic, complemented
194	#89743	C₂²	1	1	yes	characteristic, complemented
195	#89742	C₂²	1	1	yes	characteristic, complemented
196	C₂×#6384	C₂²	1	1	yes	characteristic, complemented
197	#89739	C₂²	1	1	yes	characteristic, complemented
198	#89738	C₂²	1	1	yes	characteristic, complemented
199	C₂×#6382	C₂²	1	1	yes	characteristic, complemented
200	C₂×#6382	C₂²	1	1	yes	characteristic, complemented
201	#89698	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	#61472	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	—	2	1	no	—
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₇×D₄	—	2	1	no	—
207	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
208	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₇	—	2	1	no	—
210	C₂×#1157	C₂³	1	1	yes	characteristic
211	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
212	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₇×#127	C₂³	1	1	yes	characteristic
215	C₇×#126	—	2	1	no	—
216	C₇×#126	—	2	1	no	—
217	C₇×#126	—	2	1	no	—
218	C₇×#126	—	2	1	no	—
219	C₇×#126	D₄	1	1	yes	characteristic
220	C₇×#126	D₄	1	1	yes	characteristic
221	C₇×#125	—	2	1	no	—
222	C₇×#125	D₄	1	1	yes	characteristic
223	C₇×#125	C₂³	1	1	yes	characteristic
224	C₇×#125	C₂³	1	1	yes	characteristic
225	C₇×#124	—	2	1	no	—
226	C₇×#124	—	2	1	no	—
227	C₇×#124	D₄	1	1	yes	characteristic
228	C₇×#124	C₂³	1	1	yes	characteristic
229	C₇×#124	C₂³	1	1	yes	characteristic
230	C₇×#123	—	2	1	no	—
231	C₇×#123	—	2	1	no	—
232	C₇×#123	—	2	1	no	—
233	C₇×#123	—	2	1	no	—
234	C₇×#123	—	2	1	no	—
235	C₇×#123	—	2	1	no	—
236	C₇×#123	—	2	1	no	—
237	C₇×#123	—	2	1	no	—
238	C₇×#123	—	2	1	no	—
239	C₇×#123	—	2	1	no	—
240	C₇×#123	—	2	1	no	—
241	C₇×#123	—	2	1	no	—
242	C₇×#123	D₄	1	1	yes	characteristic
243	C₇×#123	D₄	1	1	yes	characteristic
244	C₇×C₂²⋊Q₈	—	2	1	no	—
245	C₇×C₂²⋊Q₈	—	2	1	no	—
246	C₇×C₂²⋊Q₈	—	2	1	no	—
247	C₇×C₂²⋊Q₈	—	2	1	no	—
248	C₇×C₂²⋊Q₈	—	2	1	no	—
249	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
250	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₇×#121	—	2	1	no	—
253	C₇×#121	—	2	1	no	—
254	C₇×#121	—	2	1	no	—
255	C₇×#121	—	2	1	no	—
256	C₇×#121	—	2	1	no	—
257	C₇×#121	—	2	1	no	—
258	C₇×#121	D₄	1	1	yes	characteristic
259	C₇×#121	C₂³	1	1	yes	characteristic
260	C₇×#121	C₂³	1	1	yes	characteristic
261	C₇×#121	C₂³	1	1	yes	characteristic
262	C₇×#121	C₂³	1	1	yes	characteristic
263	C₇×#120	—	2	1	no	—
264	C₇×#120	—	2	1	no	—
265	C₇×#120	—	2	1	no	—
266	C₇×#120	—	2	1	no	—
267	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
268	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
269	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
270	C₄×C₇×D₄	—	2	1	no	—
271	C₄×C₇×D₄	—	2	1	no	—
272	C₄×C₇×D₄	—	2	1	no	—
273	C₄×C₇×D₄	—	2	1	no	—
274	C₄×C₇×D₄	—	2	1	no	—
275	C₄×C₇×D₄	—	2	1	no	—
276	C₄×C₇×D₄	—	2	1	no	—
277	C₄×C₇×D₄	—	2	1	no	—
278	C₄×C₇×D₄	—	2	1	no	—
279	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
280	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
281	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
282	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
283	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
284	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
285	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
286	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
287	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
288	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
289	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
290	C₇×#117	—	2	1	no	—
291	C₇×#117	—	2	1	no	—
292	C₇×#117	—	2	1	no	—
293	C₇×#117	C₂³	1	1	yes	characteristic
294	C₇×#117	C₂³	1	1	yes	characteristic
295	C₇×#117	C₂³	1	1	yes	characteristic
296	C₂×C₇×C₄⋊C₄	—	2	1	no	—
297	C₂×C₇×C₄⋊C₄	—	2	1	no	—
298	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
301	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
302	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
303	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
304	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
305	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
306	#6513	—	2	4	no	—
307	#6509	—	2	1	no	—
308	#6507	—	2	1	no	—
309	C₂×#1144	C₂³	1	1	yes	characteristic
310	C₂×#1144	C₂³	1	1	yes	characteristic
311	C₂×#1144	C₂³	1	1	yes	characteristic
312	C₂×#1143	C₂³	1	1	yes	characteristic
313	#6502	—	2	1	no	—
314	#6502	—	2	1	no	—
315	#6502	—	2	1	no	—
316	#6498	—	2	1	no	—
317	D₄×Dic₇	—	2	1	no	—
318	D₄×Dic₇	—	2	1	no	—
319	C₂×#1142	—	2	4	no	—
320	C₂×#1142	—	2	4	no	—
321	C₂×#1142	C₂³	1	1	yes	characteristic
322	C₂×#1142	C₂³	1	1	yes	characteristic
323	C₂×#1142	C₂³	1	1	yes	characteristic
324	C₂×#1142	C₂³	1	1	yes	characteristic
325	C₂×#1142	C₂³	1	1	yes	characteristic
326	C₂×#1142	C₂³	1	1	yes	characteristic
327	C₂×#1142	C₂³	1	1	yes	characteristic
328	C₂×#1142	C₂³	1	1	yes	characteristic
329	C₂×#1142	C₂³	1	1	yes	characteristic
330	C₂×#1141	C₂³	1	1	yes	characteristic
331	C₂×#1141	C₂³	1	1	yes	characteristic
332	C₂×#1141	C₂³	1	1	yes	characteristic
333	#6493	C₂³	1	1	yes	characteristic
334	#6493	C₂³	1	1	yes	characteristic
335	#6492	—	2	1	no	—
336	C₄×C₂²⋊D₇	—	2	1	no	—
337	#6489	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
340	#6487	C₂³	1	1	yes	characteristic
341	#6487	C₂³	1	1	yes	characteristic
342	#6487	C₂³	1	1	yes	characteristic
343	#6487	C₂³	1	1	yes	characteristic
344	C₂×Dic₇⋊C₄	—	2	1	no	—
345	C₂×C₄×Dic₇	—	2	1	no	—
346	C₂×#1136	C₂³	1	1	yes	characteristic
347	C₂×#1136	C₂³	1	1	yes	characteristic
348	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
349	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
350	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
351	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
352	#6461	—	2	1	no	—
353	#6461	—	2	1	no	—
354	#6461	—	2	1	no	—
355	#6461	—	2	1	no	—
356	#6459	—	2	1	no	—
357	#6459	—	2	1	no	—
358	#6459	—	2	1	no	—
359	#6455	—	2	1	no	—
360	#6455	—	2	1	no	—
361	D₇×C₄⋊C₄	—	2	1	no	—
362	#6453	—	2	1	no	—
363	#6452	—	2	1	no	—
364	#6452	—	2	1	no	—
365	#6452	—	2	1	no	—
366	#6452	—	2	1	no	—
367	#6452	—	2	1	no	—
368	#6451	—	2	1	no	—
369	#6450	—	2	1	no	—
370	#6450	—	2	1	no	—
371	#6450	—	2	1	no	—
372	#6448	—	2	1	no	—
373	#6448	—	2	1	no	—
374	#6448	—	2	1	no	—
375	#6446	—	2	1	no	—
376	#6446	—	2	1	no	—
377	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
378	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
379	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
380	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
381	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
382	#6442	—	2	1	no	—
383	#6442	—	2	1	no	—
384	#6442	—	2	1	no	—
385	#6441	—	2	1	no	—
386	#6441	—	2	1	no	—
387	#6441	—	2	1	no	—
388	#6441	—	2	1	no	—
389	#6440	—	2	1	no	—
390	#6440	—	2	1	no	—
391	#6440	—	2	1	no	—
392	#6439	—	2	1	no	—
393	#6438	C₂³	1	1	yes	characteristic
394	#6438	C₂³	1	1	yes	characteristic
395	C₄×D₂₈	C₂³	1	1	yes	characteristic
396	C₄×D₂₈	C₂³	1	1	yes	characteristic
397	#6435	—	2	1	no	—
398	#6433	C₂³	1	1	yes	characteristic
399	#6433	C₂³	1	1	yes	characteristic
400	#6432	C₂³	1	1	yes	characteristic
401	#6432	C₂³	1	1	yes	characteristic
402	C₄×Dic₁₄	—	2	1	no	—
403	C₄×Dic₁₄	—	2	1	no	—
404	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
406	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
407	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
408	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
412	#6409	C₂³	1	1	yes	characteristic
413	#6409	C₂³	1	1	yes	characteristic
414	#6409	C₂³	1	1	yes	characteristic
415	#6409	C₂³	1	1	yes	characteristic
416	#6406	C₂³	1	1	yes	characteristic
417	#6406	C₂³	1	1	yes	characteristic
418	#6406	C₂³	1	1	yes	characteristic
419	#6406	C₂³	1	1	yes	characteristic
420	#6406	C₂³	1	1	yes	characteristic
421	#6406	C₂³	1	1	yes	characteristic
422	#6406	C₂³	1	1	yes	characteristic
423	#6406	C₂³	1	1	yes	characteristic
424	#6406	C₂³	1	1	yes	characteristic
425	#6406	C₂³	1	1	yes	characteristic
426	#6406	C₂³	1	1	yes	characteristic
427	#6406	C₂³	1	1	yes	characteristic
428	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
429	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
430	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
431	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
432	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
433	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
434	#6384	C₂³	1	1	yes	characteristic
435	#6384	C₂³	1	1	yes	characteristic
436	#6384	C₂³	1	1	yes	characteristic
437	#6384	C₂³	1	1	yes	characteristic
438	#6384	C₂³	1	1	yes	characteristic
439	#6384	C₂³	1	1	yes	characteristic
440	#6384	C₂³	1	1	yes	characteristic
441	#6384	C₂³	1	1	yes	characteristic
442	#6384	C₂³	1	1	yes	characteristic
443	#6384	C₂³	1	1	yes	characteristic
444	#6384	C₂³	1	1	yes	characteristic
445	#6384	C₂³	1	1	yes	characteristic
446	#6383	C₂³	1	1	yes	characteristic
447	#6383	C₂³	1	1	yes	characteristic
448	#6383	C₂³	1	1	yes	characteristic
449	#6383	C₂³	1	1	yes	characteristic
450	#6382	C₂³	1	1	yes	characteristic
451	#6382	C₂³	1	1	yes	characteristic
452	#6382	C₂³	1	1	yes	characteristic
453	#6382	C₂³	1	1	yes	characteristic
454	#6382	C₂³	1	1	yes	characteristic
455	#6382	C₂³	1	1	yes	characteristic
456	#6382	C₂³	1	1	yes	characteristic
457	#6382	C₂³	1	1	yes	characteristic
458	#6382	C₂³	1	1	yes	characteristic
459	#6382	C₂³	1	1	yes	characteristic
460	#6381	C₂³	1	1	yes	characteristic
461	#6381	C₂³	1	1	yes	characteristic
462	#6381	C₂³	1	1	yes	characteristic
463	#6381	C₂³	1	1	yes	characteristic
464	#6381	C₂³	1	1	yes	characteristic
465	#6381	C₂³	1	1	yes	characteristic
466	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
467	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
468	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
469	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
470	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
471	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
472	#6377	C₂³	1	1	yes	characteristic
473	#6377	C₂³	1	1	yes	characteristic
474	#6377	C₂³	1	1	yes	characteristic
475	#6377	C₂³	1	1	yes	characteristic
476	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
477	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
480	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
481	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
482	#3516	—	7	1	no	—
483	#3513	D₇	1	1	yes	characteristic, complemented
484	#3394	—	7	1	no	—
485	#3381	—	7	1	no	—
486	#3376	—	7	1	no	—
487	#3371	—	7	1	no	—
488	#3337	—	7	1	no	—
489	#3337	—	7	1	no	—
490	#3335	—	7	1	no	—
491	#3326	—	7	1	no	—
492	#3323	—	7	1	no	—
493	#3318	—	7	1	no	—
494	#3314	—	7	1	no	—
495	#3312	—	7	1	no	—
496	#3308	—	7	1	no	—
497	#3282	—	7	1	no	—
498	#3282	—	7	1	no	—
499	D₄×SD₁₆	—	7	1	no	—
500	#3174	—	7	1	no	—
501	#3173	—	7	1	no	—
502	#3168	—	7	1	no	—
503	#3121	—	7	1	no	—
504	#3120	—	7	1	no	—
505	#3119	—	7	1	no	—
506	#3118	—	7	1	no	—
507	#3117	—	7	1	no	—
508	#3114	—	7	1	no	—
509	#2966	—	7	1	no	—
510	#2952	—	7	1	no	—
511	#2949	—	7	1	no	—
512	C₂×C₄×SD₁₆	—	7	1	no	—
513	C₂⁴×C₇	—	2	1	no	—
514	C₂⁴×C₇	—	2	1	no	—
515	C₇×#41	—	2	2	no	—
516	C₇×#41	—	4	1	no	—
517	C₇×#41	—	8	2	no	—
518	C₂×C₇×Q₈	—	2	1	no	—
519	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
520	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₇×D₄	—	2	2	no	—
522	C₂×C₇×D₄	—	2	2	no	—
523	C₂×C₇×D₄	—	2	1	no	—
524	C₂×C₇×D₄	—	2	1	no	—
525	C₂×C₇×D₄	—	2	1	no	—
526	C₂×C₇×D₄	—	2	1	no	—
527	C₂×C₇×D₄	—	2	1	no	—
528	C₂×C₇×D₄	—	2	1	no	—
529	C₂×C₇×D₄	—	2	1	no	—
530	C₂×C₇×D₄	—	2	1	no	—
531	C₂×C₇×D₄	—	2	1	no	—
532	C₂×C₇×D₄	—	4	1	no	—
533	C₂×C₇×D₄	—	4	1	no	—
534	C₂×C₇×D₄	—	8	2	no	—
535	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
536	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
537	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
538	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
539	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
540	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₇	—	2	1	no	—
542	C₂²×C₄×C₇	—	2	1	no	—
543	C₂²×C₄×C₇	—	2	1	no	—
544	C₂²×C₄×C₇	—	2	1	no	—
545	C₂²×C₄×C₇	—	2	1	no	—
546	C₂²×C₄×C₇	—	2	1	no	—
547	C₂²×C₄×C₇	—	2	1	no	—
548	C₂²×C₄×C₇	—	2	1	no	—
549	C₂²×C₄×C₇	—	2	1	no	—
550	C₂²×C₄×C₇	—	2	1	no	—
551	C₂²×C₄×C₇	—	2	1	no	—
552	C₂²×C₄×C₇	—	8	2	no	—
553	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
554	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
555	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
558	C₂×C₂²⋊D₇	—	2	1	no	—
559	C₂×C₂²⋊D₇	—	2	1	no	—
560	C₂×C₂²⋊D₇	—	2	1	no	—
561	C₂²×Dic₇	—	2	1	no	—
562	C₂²×Dic₇	—	2	1	no	—
563	C₂²×Dic₇	—	2	1	no	—
564	C₂²×Dic₇	—	2	1	no	—
565	#1157	—	2	2	no	—
566	#1157	—	4	1	no	—
567	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₇	—	2	1	no	—
569	C₂×C₄×D₇	—	2	1	no	—
570	C₂×C₄×D₇	—	2	1	no	—
571	C₂×Dic₁₄	—	2	2	no	—
572	C₂×Dic₁₄	—	2	2	no	—
573	C₂×Dic₁₄	—	2	1	no	—
574	C₂×Dic₁₄	—	2	1	no	—
575	C₂×Dic₁₄	—	2	1	no	—
576	C₂×Dic₁₄	—	4	1	no	—
577	C₂×Dic₁₄	—	4	1	no	—
578	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
579	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
581	C₇×C₄⋊C₄	—	2	1	no	—
582	C₇×C₄⋊C₄	—	2	1	no	—
583	C₇×C₄⋊C₄	—	2	1	no	—
584	C₇×C₄⋊C₄	—	2	1	no	—
585	C₇×C₄⋊C₄	—	2	1	no	—
586	C₇×C₄⋊C₄	—	2	1	no	—
587	C₇×C₄⋊C₄	—	2	1	no	—
588	C₇×C₄⋊C₄	—	2	1	no	—
589	C₇×C₄⋊C₄	—	2	1	no	—
590	C₇×C₄⋊C₄	—	2	1	no	—
591	C₇×C₄⋊C₄	—	2	1	no	—
592	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₇×C₂²⋊C₄	—	2	1	no	—
607	C₇×C₂²⋊C₄	—	2	1	no	—
608	C₇×C₂²⋊C₄	—	2	1	no	—
609	C₇×C₂²⋊C₄	—	2	1	no	—
610	C₇×C₂²⋊C₄	—	2	1	no	—
611	C₇×C₂²⋊C₄	—	2	1	no	—
612	C₇×C₂²⋊C₄	—	2	1	no	—
613	C₇×C₂²⋊C₄	—	2	1	no	—
614	C₇×C₂²⋊C₄	—	2	1	no	—
615	C₇×C₂²⋊C₄	—	2	1	no	—
616	C₇×C₂²⋊C₄	—	2	1	no	—
617	C₇×C₂²⋊C₄	—	2	1	no	—
618	C₇×C₂²⋊C₄	—	2	1	no	—
619	C₇×C₂²⋊C₄	—	2	1	no	—
620	C₇×C₂²⋊C₄	—	2	1	no	—
621	C₇×C₂²⋊C₄	—	2	1	no	—
622	C₇×C₂²⋊C₄	—	2	1	no	—
623	C₇×C₂²⋊C₄	—	2	1	no	—
624	C₇×C₂²⋊C₄	—	2	1	no	—
625	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₄²×C₇	—	2	1	no	—
636	C₄²×C₇	—	2	1	no	—
637	C₄²×C₇	—	2	1	no	—
638	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
639	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
640	C₄²×C₇	C₂⁴	1	1	yes	characteristic
641	C₄²×C₇	C₂⁴	1	1	yes	characteristic
642	C₄²×C₇	C₂⁴	1	1	yes	characteristic
643	C₄²×C₇	C₂⁴	1	1	yes	characteristic
644	C₂²⋊Dic₇	—	2	1	no	—
645	C₂²⋊Dic₇	—	2	1	no	—
646	C₂²⋊Dic₇	—	2	1	no	—
647	C₂²⋊Dic₇	—	2	1	no	—
648	C₂²⋊Dic₇	—	2	1	no	—
649	#1144	—	2	2	no	—
650	#1144	—	4	1	no	—
651	#1144	—	4	1	no	—
652	#1143	—	2	2	no	—
653	#1142	—	2	2	no	—
654	#1142	—	2	2	no	—
655	#1142	—	2	2	no	—
656	#1142	—	2	2	no	—
657	#1142	—	2	2	no	—
658	#1142	—	2	2	no	—
659	#1142	—	4	1	no	—
660	#1142	—	4	1	no	—
661	#1142	#41	1	4	yes	complemented
662	#1141	—	2	2	no	—
663	#1141	—	4	1	no	—
664	#1141	—	4	1	no	—
665	(C₂×D₇)⋊C₄	—	2	1	no	—
666	(C₂×D₇)⋊C₄	—	2	1	no	—
667	(C₂×D₇)⋊C₄	—	2	1	no	—
668	(C₂×D₇)⋊C₄	—	2	1	no	—
669	(C₂×D₇)⋊C₄	—	2	1	no	—
670	(C₂×D₇)⋊C₄	—	2	1	no	—
671	(C₂×D₇)⋊C₄	—	2	1	no	—
672	(C₂×D₇)⋊C₄	—	2	1	no	—
673	C₄⋊Dic₇	—	2	1	no	—
674	C₄⋊Dic₇	—	2	1	no	—
675	C₄⋊Dic₇	—	2	1	no	—
676	C₄⋊Dic₇	—	2	1	no	—
677	C₄⋊Dic₇	—	2	1	no	—
678	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
679	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
681	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
682	Dic₇⋊C₄	—	2	1	no	—
683	Dic₇⋊C₄	—	2	1	no	—
684	Dic₇⋊C₄	—	2	1	no	—
685	Dic₇⋊C₄	—	2	1	no	—
686	Dic₇⋊C₄	—	2	1	no	—
687	Dic₇⋊C₄	—	2	1	no	—
688	Dic₇⋊C₄	—	2	1	no	—
689	Dic₇⋊C₄	—	2	1	no	—
690	Dic₇⋊C₄	—	2	1	no	—
691	Dic₇⋊C₄	—	2	1	no	—
692	Dic₇⋊C₄	—	2	1	no	—
693	Dic₇⋊C₄	—	2	1	no	—
694	Dic₇⋊C₄	—	2	1	no	—
695	Dic₇⋊C₄	—	2	1	no	—
696	Dic₇⋊C₄	—	2	1	no	—
697	Dic₇⋊C₄	—	2	1	no	—
698	C₄×Dic₇	—	2	1	no	—
699	C₄×Dic₇	—	2	1	no	—
700	C₄×Dic₇	—	2	1	no	—
701	C₄×Dic₇	—	2	1	no	—
702	C₄×Dic₇	—	2	1	no	—
703	C₄×Dic₇	—	2	1	no	—
704	C₄×Dic₇	—	2	1	no	—
705	C₄×Dic₇	—	2	1	no	—
706	C₄×Dic₇	—	2	1	no	—
707	#1136	—	4	1	no	—
708	#1136	—	4	1	no	—
709	C₂×C₇⋊C₈	—	2	2	no	—
710	C₂×C₇⋊C₈	—	2	2	no	—
711	C₂×C₇⋊C₈	—	2	2	no	—
712	C₂×C₇⋊C₈	—	4	1	no	—
713	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
714	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
715	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
716	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
717	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
718	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
719	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
720	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
721	C₂×#135	—	7	1	no	—
722	C₂²×SD₁₆	—	7	1	no	—
723	C₂²×SD₁₆	—	7	1	no	—
724	#559	C₂×D₇	1	1	yes	characteristic
725	#557	—	7	1	no	—
726	#556	—	7	1	no	—
727	#556	—	14	1	no	—
728	#554	—	7	1	no	—
729	#554	—	14	1	no	—
730	#554	C₂×D₇	1	1	yes	characteristic
731	#553	—	2	1	no	—
732	#553	—	7	1	no	—
733	#553	—	14	1	no	—
734	#553	C₂×D₇	1	1	yes	characteristic
735	#552	—	7	1	no	—
736	#552	—	14	1	no	—
737	#552	C₂×D₇	1	1	yes	characteristic
738	#551	—	2	1	no	—
739	#551	—	2	1	no	—
740	D₄×Q₈	—	7	1	no	—
741	#548	—	7	1	no	—
742	#548	—	7	1	no	—
743	#547	C₂×D₇	1	1	yes	characteristic
744	#546	—	2	1	no	—
745	#546	C₂×D₇	1	1	yes	characteristic
746	#546	C₂×D₇	1	1	yes	characteristic
747	D₄²	C₂×D₇	1	1	yes	characteristic
748	#542	—	7	1	no	—
749	#542	—	14	1	no	—
750	#542	C₂×D₇	1	1	yes	characteristic
751	#541	—	7	1	no	—
752	#541	—	14	1	no	—
753	#540	C₂×D₇	1	1	yes	characteristic
754	#539	—	2	1	no	—
755	#538	—	2	1	no	—
756	#529	—	7	1	no	—
757	#529	—	14	1	no	—
758	#529	—	14	1	no	—
759	#529	C₂×D₇	1	1	yes	characteristic
760	#529	C₂×D₇	1	1	yes	characteristic
761	#525	—	2	1	no	—
762	C₂×#123	—	2	1	no	—
763	#520	—	7	1	no	—
764	#520	C₂×D₇	1	1	yes	characteristic
765	#519	—	7	1	no	—
766	#518	C₂×D₇	1	1	yes	characteristic
767	C₂×C₄×Q₈	—	7	1	no	—
768	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
769	#499	—	7	1	no	—
770	#499	—	7	1	no	—
771	#498	—	7	1	no	—
772	#495	—	7	1	no	—
773	#495	—	7	1	no	—
774	#492	—	7	1	no	—
775	#491	—	7	1	no	—
776	#490	—	7	1	no	—
777	#489	—	7	1	no	—
778	#489	—	7	1	no	—
779	#488	—	7	1	no	—
780	#488	—	7	1	no	—
781	#485	—	7	1	no	—
782	#485	—	7	1	no	—
783	#484	—	7	1	no	—
784	#484	—	7	1	no	—
785	#483	—	7	1	no	—
786	#483	—	7	1	no	—
787	#482	—	7	1	no	—
788	#482	—	7	1	no	—
789	#481	—	7	1	no	—
790	#481	—	7	1	no	—
791	#480	—	7	1	no	—
792	#480	—	7	1	no	—
793	#479	—	7	1	no	—
794	#479	—	7	1	no	—
795	#479	—	7	1	no	—
796	#479	—	7	1	no	—
797	#478	—	7	1	no	—
798	#478	—	7	1	no	—
799	#478	—	7	1	no	—
800	#478	—	7	1	no	—
801	#477	—	7	1	no	—
802	#476	—	7	1	no	—
803	#475	—	7	1	no	—
804	#474	—	7	1	no	—
805	#470	—	7	1	no	—
806	#469	—	7	1	no	—
807	#468	—	7	1	no	—
808	#468	—	7	1	no	—
809	#467	—	7	1	no	—
810	#466	—	7	1	no	—
811	#465	—	7	1	no	—
812	#465	—	7	1	no	—
813	#465	—	7	1	no	—
814	#465	—	7	1	no	—
815	#465	—	7	1	no	—
816	#465	—	7	1	no	—
817	#464	—	7	1	no	—
818	#464	—	7	1	no	—
819	#464	—	7	1	no	—
820	#464	—	7	1	no	—
821	#463	—	7	1	no	—
822	#463	—	7	1	no	—
823	#463	—	7	1	no	—
824	#463	—	7	1	no	—
825	#462	—	7	1	no	—
826	#461	—	7	1	no	—
827	#460	—	7	1	no	—
828	#459	—	7	1	no	—
829	#452	—	7	1	no	—
830	#452	—	7	1	no	—
831	#451	—	7	1	no	—
832	#451	—	7	1	no	—
833	#450	—	7	1	no	—
834	#450	—	7	1	no	—
835	#449	—	7	1	no	—
836	#449	—	7	1	no	—
837	#448	—	7	1	no	—
838	#448	—	7	1	no	—
839	#447	—	7	1	no	—
840	#447	—	7	1	no	—
841	#446	—	7	1	no	—
842	C₈×Q₈	—	7	1	no	—
843	#442	—	7	1	no	—
844	#442	—	7	1	no	—
845	#442	—	7	1	no	—
846	#441	—	7	1	no	—
847	#441	—	7	1	no	—
848	#441	—	7	1	no	—
849	#440	—	7	1	no	—
850	#440	—	7	1	no	—
851	#440	—	7	1	no	—
852	#440	—	7	1	no	—
853	#440	—	7	1	no	—
854	#440	—	7	1	no	—
855	C₄×Q₁₆	—	7	1	no	—
856	C₄×SD₁₆	—	7	1	no	—
857	C₄×SD₁₆	—	7	1	no	—
858	C₄×SD₁₆	—	7	1	no	—
859	C₄×SD₁₆	—	7	1	no	—
860	C₄×SD₁₆	—	7	1	no	—
861	C₄×SD₁₆	—	7	1	no	—
862	C₄×SD₁₆	—	7	1	no	—
863	C₄×SD₁₆	—	7	1	no	—
864	C₄×SD₁₆	—	7	1	no	—
865	C₄×SD₁₆	—	7	1	no	—
866	C₄×SD₁₆	—	7	1	no	—
867	C₄×SD₁₆	—	7	1	no	—
868	C₄×SD₁₆	—	7	1	no	—
869	C₄×SD₁₆	—	7	1	no	—
870	C₄×D₈	—	7	1	no	—
871	#436	—	7	1	no	—
872	#435	—	7	1	no	—
873	#435	—	7	1	no	—
874	C₈×D₄	—	7	1	no	—
875	C₈×D₄	—	7	1	no	—
876	C₈×D₄	—	7	1	no	—
877	#433	—	7	1	no	—
878	#433	—	7	1	no	—
879	#432	—	7	1	no	—
880	#427	—	7	1	no	—
881	C₂×#106	—	7	1	no	—
882	C₂×#106	—	7	1	no	—
883	#419	—	7	1	no	—
884	#418	—	7	1	no	—
885	#417	—	7	1	no	—
886	#417	—	7	1	no	—
887	C₂×#103	—	7	1	no	—
888	C₂×#102	—	7	1	no	—
889	#405	—	7	1	no	—
890	#405	—	7	1	no	—
891	C₂×C₄×C₈	—	7	1	no	—
892	C₂³×C₇	—	2	1	no	—
893	C₂³×C₇	—	2	1	no	—
894	C₂³×C₇	—	2	1	no	—
895	C₂³×C₇	—	4	2	no	—
896	C₂³×C₇	—	4	2	no	—
897	C₂³×C₇	—	4	2	no	—
898	C₂³×C₇	—	8	1	no	—
899	C₂³×C₇	—	8	1	no	—
900	C₂³×C₇	—	8	1	no	—
901	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
902	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
903	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
904	C₂²×D₇	—	2	1	no	—
905	C₇×Q₈	—	2	1	no	—
906	C₇×Q₈	—	2	1	no	—
907	C₇×Q₈	—	4	1	no	—
908	C₇×Q₈	—	8	1	no	—
909	C₇×D₄	—	2	2	no	—
910	C₇×D₄	—	2	2	no	—
911	C₇×D₄	—	2	1	no	—
912	C₇×D₄	—	2	1	no	—
913	C₇×D₄	—	2	1	no	—
914	C₇×D₄	—	2	1	no	—
915	C₇×D₄	—	2	1	no	—
916	C₇×D₄	—	4	1	no	—
917	C₇×D₄	—	4	2	no	—
918	C₇×D₄	—	4	2	no	—
919	C₇×D₄	—	4	2	no	—
920	C₇×D₄	—	4	2	no	—
921	C₇×D₄	—	8	1	no	—
922	C₇×D₄	—	8	1	no	—
923	C₇×D₄	—	8	1	no	—
924	C₇×D₄	—	8	1	no	—
925	C₇×D₄	—	8	1	no	—
926	C₇×D₄	C₂×#41	1	2	yes	—
927	C₂×C₄×C₇	—	2	2	no	—
928	C₂×C₄×C₇	—	2	1	no	—
929	C₂×C₄×C₇	—	2	1	no	—
930	C₂×C₄×C₇	—	2	1	no	—
931	C₂×C₄×C₇	—	2	1	no	—
932	C₂×C₄×C₇	—	2	1	no	—
933	C₂×C₄×C₇	—	2	1	no	—
934	C₂×C₄×C₇	—	2	1	no	—
935	C₂×C₄×C₇	—	2	1	no	—
936	C₂×C₄×C₇	—	2	1	no	—
937	C₂×C₄×C₇	—	2	1	no	—
938	C₂×C₄×C₇	—	2	1	no	—
939	C₂×C₄×C₇	—	4	1	no	—
940	C₂×C₄×C₇	—	4	2	no	—
941	C₂×C₄×C₇	—	4	2	no	—
942	C₂×C₄×C₇	—	8	1	no	—
943	C₂×C₄×C₇	—	8	1	no	—
944	C₂×C₄×C₇	—	8	1	no	—
945	C₂×C₄×C₇	—	8	1	no	—
946	C₂×C₄×C₇	—	8	1	no	—
947	C₂×C₄×C₇	—	8	1	no	—
948	C₂×C₄×C₇	—	8	1	no	—
949	C₂×C₄×C₇	—	8	1	no	—
950	C₂×C₄×C₇	—	8	1	no	—
951	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
952	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
953	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
954	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
955	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
956	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
957	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
958	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
959	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
960	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
961	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
962	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
963	C₂²⋊D₇	—	4	2	no	—
964	C₂²⋊D₇	—	4	2	no	—
965	C₂²⋊D₇	—	8	1	no	—
966	C₂×Dic₇	—	2	1	no	—
967	C₂×Dic₇	—	2	1	no	—
968	C₂×Dic₇	—	2	1	no	—
969	C₂×Dic₇	—	2	1	no	—
970	C₂×Dic₇	—	2	1	no	—
971	C₂×Dic₇	—	2	1	no	—
972	C₂×Dic₇	—	2	1	no	—
973	C₂×Dic₇	—	4	2	no	—
974	C₂×Dic₇	—	4	2	no	—
975	C₂×Dic₇	—	8	1	no	—
976	C₂×Dic₇	—	8	1	no	—
977	D₂₈	—	2	1	no	—
978	D₂₈	—	2	1	no	—
979	C₄×D₇	—	4	2	no	—
980	C₄×D₇	—	8	1	no	—
981	C₄×D₇	—	8	1	no	—
982	Dic₁₄	—	2	1	no	—
983	Dic₁₄	—	2	1	no	—
984	Dic₁₄	—	2	1	no	—
985	Dic₁₄	—	2	1	no	—
986	Dic₁₄	—	2	1	no	—
987	Dic₁₄	—	4	2	no	—
988	Dic₁₄	—	4	2	no	—
989	Dic₁₄	—	8	1	no	—
990	Dic₁₄	C₂×#41	1	2	yes	—
991	C₇⋊C₈	—	2	1	no	—
992	C₇⋊C₈	—	2	1	no	—
993	C₇⋊C₈	—	2	1	no	—
994	C₇⋊C₈	—	2	1	no	—
995	C₇⋊C₈	—	2	1	no	—
996	C₇⋊C₈	—	2	1	no	—
997	C₇⋊C₈	—	2	1	no	—
998	C₇⋊C₈	C₂×#41	1	2	yes	—
999	C₂×#41	—	2	1	no	—
1000	C₂×#41	—	7	1	no	—
1001	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1002	C₂²×Q₈	—	7	1	no	—
1003	C₂²×Q₈	—	7	1	no	—
1004	C₂²×D₄	—	2	1	no	—
1005	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1006	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1007	C₂³×C₄	—	2	1	no	—
1008	#135	—	14	4	no	—
1009	C₂×Q₁₆	—	7	1	no	—
1010	C₂×Q₁₆	—	7	1	no	—
1011	C₂×Q₁₆	—	7	1	no	—
1012	C₂×SD₁₆	—	7	1	no	—
1013	C₂×SD₁₆	—	7	1	no	—
1014	C₂×SD₁₆	—	7	1	no	—
1015	C₂×SD₁₆	—	7	1	no	—
1016	C₂×SD₁₆	—	7	1	no	—
1017	C₂×SD₁₆	—	7	1	no	—
1018	C₂×SD₁₆	—	7	1	no	—
1019	C₂×SD₁₆	—	7	1	no	—
1020	C₂×SD₁₆	—	7	1	no	—
1021	C₂×SD₁₆	—	7	1	no	—
1022	C₂×SD₁₆	—	14	4	no	—
1023	C₂×SD₁₆	—	14	4	no	—
1024	C₂×D₈	—	7	1	no	—
1025	C₂×D₈	—	7	1	no	—
1026	C₂×D₈	—	7	1	no	—
1027	C₂×M₁₆	—	7	1	no	—
1028	C₂×M₁₆	—	7	1	no	—
1029	C₂²×C₈	—	7	1	no	—
1030	C₂²×C₈	—	7	1	no	—
1031	C₂²×C₈	—	7	1	no	—
1032	C₂²×C₈	—	7	1	no	—
1033	C₄⋊Q₈	—	7	1	no	—
1034	C₄⋊Q₈	—	7	1	no	—
1035	C₄⋊Q₈	—	14	1	no	—
1036	C₄⋊Q₈	—	14	1	no	—
1037	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1038	#127	C₂²×D₇	1	1	yes	characteristic
1039	#126	—	2	1	no	—
1040	#126	—	2	1	no	—
1041	#126	—	2	1	no	—
1042	#126	—	2	1	no	—
1043	#126	—	14	1	no	—
1044	#126	—	14	1	no	—
1045	#126	—	14	1	no	—
1046	#126	—	14	1	no	—
1047	#126	—	14	1	no	—
1048	#126	—	14	1	no	—
1049	#126	—	14	1	no	—
1050	#126	—	14	1	no	—
1051	#126	C₂²⋊D₇	1	1	yes	characteristic
1052	#126	C₂²⋊D₇	1	1	yes	characteristic
1053	#125	—	2	1	no	—
1054	#125	—	7	1	no	—
1055	#125	—	7	1	no	—
1056	#125	—	14	1	no	—
1057	#125	—	14	1	no	—
1058	#125	—	14	1	no	—
1059	#125	—	14	1	no	—
1060	#125	—	14	1	no	—
1061	#125	—	14	1	no	—
1062	#125	C₂²⋊D₇	1	1	yes	characteristic
1063	#125	C₂²×D₇	1	1	yes	characteristic
1064	#125	C₂²×D₇	1	1	yes	characteristic
1065	#124	—	2	1	no	—
1066	#124	—	2	1	no	—
1067	#124	—	7	1	no	—
1068	#124	—	7	1	no	—
1069	#124	—	14	1	no	—
1070	#124	—	14	1	no	—
1071	#124	—	14	1	no	—
1072	#124	C₂²⋊D₇	1	1	yes	characteristic
1073	#124	C₂²×D₇	1	1	yes	characteristic
1074	#124	C₂²×D₇	1	1	yes	characteristic
1075	#123	—	2	1	no	—
1076	#123	—	2	1	no	—
1077	#123	—	2	1	no	—
1078	#123	—	2	1	no	—
1079	#123	—	2	1	no	—
1080	#123	—	2	1	no	—
1081	#123	—	2	1	no	—
1082	#123	—	2	1	no	—
1083	#123	—	2	1	no	—
1084	#123	—	2	1	no	—
1085	#123	—	2	1	no	—
1086	#123	—	2	1	no	—
1087	#123	—	14	1	no	—
1088	#123	—	14	1	no	—
1089	#123	—	14	1	no	—
1090	#123	—	14	1	no	—
1091	#123	C₂²⋊D₇	1	1	yes	characteristic
1092	#123	C₂²⋊D₇	1	1	yes	characteristic
1093	C₂²⋊Q₈	—	2	1	no	—
1094	C₂²⋊Q₈	—	2	1	no	—
1095	C₂²⋊Q₈	—	2	1	no	—
1096	C₂²⋊Q₈	—	2	1	no	—
1097	C₂²⋊Q₈	—	2	1	no	—
1098	C₂²⋊Q₈	—	7	1	no	—
1099	C₂²⋊Q₈	—	7	1	no	—
1100	C₂²⋊Q₈	—	7	1	no	—
1101	C₂²⋊Q₈	—	7	1	no	—
1102	C₂²⋊Q₈	—	14	1	no	—
1103	C₂²⋊Q₈	—	14	1	no	—
1104	C₂²⋊Q₈	—	14	1	no	—
1105	C₂²⋊Q₈	—	14	1	no	—
1106	C₂²⋊Q₈	—	14	1	no	—
1107	C₂²⋊Q₈	—	14	1	no	—
1108	C₂²⋊Q₈	—	14	1	no	—
1109	C₂²⋊Q₈	—	14	1	no	—
1110	C₂²⋊Q₈	C₂²⋊D₇	1	1	yes	characteristic
1111	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1112	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1113	#121	—	2	1	no	—
1114	#121	—	2	1	no	—
1115	#121	—	2	1	no	—
1116	#121	—	2	1	no	—
1117	#121	—	2	1	no	—
1118	#121	—	2	1	no	—
1119	#121	—	7	1	no	—
1120	#121	—	7	1	no	—
1121	#121	—	14	1	no	—
1122	#121	—	14	1	no	—
1123	#121	—	14	1	no	—
1124	#121	C₂²⋊D₇	1	1	yes	characteristic
1125	#121	C₂²×D₇	1	1	yes	characteristic
1126	#121	C₂²×D₇	1	1	yes	characteristic
1127	#121	C₂²×D₇	1	1	yes	characteristic
1128	#121	C₂²×D₇	1	1	yes	characteristic
1129	#120	—	2	1	no	—
1130	#120	—	2	1	no	—
1131	#120	—	2	1	no	—
1132	#120	—	2	1	no	—
1133	C₄×Q₈	—	7	1	no	—
1134	C₄×Q₈	—	7	1	no	—
1135	C₄×Q₈	—	7	1	no	—
1136	C₄×Q₈	—	7	1	no	—
1137	C₄×Q₈	—	7	1	no	—
1138	C₄×Q₈	—	7	1	no	—
1139	C₄×Q₈	—	7	1	no	—
1140	C₄×Q₈	—	7	1	no	—
1141	C₄×Q₈	—	14	1	no	—
1142	C₄×Q₈	—	14	1	no	—
1143	C₄×Q₈	—	14	1	no	—
1144	C₄×Q₈	—	14	1	no	—
1145	C₄×Q₈	—	14	1	no	—
1146	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1147	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1148	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1149	C₄×D₄	—	2	1	no	—
1150	C₄×D₄	—	2	1	no	—
1151	C₄×D₄	—	2	1	no	—
1152	C₄×D₄	—	2	1	no	—
1153	C₄×D₄	—	2	1	no	—
1154	C₄×D₄	—	2	1	no	—
1155	C₄×D₄	—	2	1	no	—
1156	C₄×D₄	—	2	1	no	—
1157	C₄×D₄	—	2	1	no	—
1158	C₄×D₄	—	7	1	no	—
1159	C₄×D₄	—	7	1	no	—
1160	C₄×D₄	—	14	1	no	—
1161	C₄×D₄	—	14	1	no	—
1162	C₄×D₄	—	14	1	no	—
1163	C₄×D₄	—	14	1	no	—
1164	C₄×D₄	—	14	1	no	—
1165	C₄×D₄	—	14	1	no	—
1166	C₄×D₄	—	14	1	no	—
1167	C₄×D₄	—	14	1	no	—
1168	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1169	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1170	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1171	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1172	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1173	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1174	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1175	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1176	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1177	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1178	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1179	#117	—	2	1	no	—
1180	#117	—	2	1	no	—
1181	#117	—	2	1	no	—
1182	#117	—	7	1	no	—
1183	#117	—	14	1	no	—
1184	#117	—	14	1	no	—
1185	#117	—	14	1	no	—
1186	#117	—	14	1	no	—
1187	#117	—	14	1	no	—
1188	#117	—	14	1	no	—
1189	#117	C₂²×D₇	1	1	yes	characteristic
1190	#117	C₂²×D₇	1	1	yes	characteristic
1191	#117	C₂²×D₇	1	1	yes	characteristic
1192	C₂×C₄⋊C₄	—	2	1	no	—
1193	C₂×C₄⋊C₄	—	2	1	no	—
1194	C₂×C₄⋊C₄	—	7	1	no	—
1195	C₂×C₄⋊C₄	—	7	1	no	—
1196	C₂×C₄⋊C₄	—	14	1	no	—
1197	C₂×C₄⋊C₄	—	14	1	no	—
1198	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1199	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1200	C₂×C₂²⋊C₄	—	2	1	no	—
1201	C₂×C₂²⋊C₄	—	2	1	no	—
1202	C₂×C₂²⋊C₄	—	2	1	no	—
1203	C₂×C₂²⋊C₄	—	2	1	no	—
1204	C₂×C₂²⋊C₄	—	2	1	no	—
1205	C₂×C₄²	—	14	1	no	—
1206	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1207	#107	—	7	1	no	—
1208	#107	—	7	1	no	—
1209	#107	—	7	1	no	—
1210	#107	—	7	1	no	—
1211	#107	—	7	1	no	—
1212	#107	—	7	1	no	—
1213	#106	—	7	1	no	—
1214	#106	—	7	1	no	—
1215	#106	—	7	1	no	—
1216	#106	—	7	1	no	—
1217	#106	—	7	1	no	—
1218	#106	—	7	1	no	—
1219	#106	—	7	1	no	—
1220	#106	—	7	1	no	—
1221	#106	—	7	1	no	—
1222	#106	—	7	1	no	—
1223	C₄⋊C₈	—	7	1	no	—
1224	C₄⋊C₈	—	7	1	no	—
1225	C₄⋊C₈	—	7	1	no	—
1226	C₄⋊C₈	—	7	1	no	—
1227	C₄⋊C₈	—	7	1	no	—
1228	C₄⋊C₈	—	7	1	no	—
1229	#103	—	7	1	no	—
1230	#103	—	7	1	no	—
1231	#103	—	7	1	no	—
1232	#103	—	7	1	no	—
1233	#103	—	7	1	no	—
1234	#103	—	7	1	no	—
1235	#103	—	7	1	no	—
1236	#103	—	7	1	no	—
1237	#103	—	7	1	no	—
1238	#103	—	7	1	no	—
1239	#103	—	7	1	no	—
1240	#103	—	7	1	no	—
1241	#103	—	7	1	no	—
1242	#103	—	7	1	no	—
1243	#103	—	7	1	no	—
1244	#103	—	7	1	no	—
1245	#102	—	7	1	no	—
1246	#102	—	7	1	no	—
1247	#102	—	7	1	no	—
1248	#102	—	7	1	no	—
1249	#102	—	7	1	no	—
1250	#102	—	7	1	no	—
1251	#102	—	7	1	no	—
1252	#102	—	7	1	no	—
1253	#102	—	7	1	no	—
1254	#102	—	7	1	no	—
1255	#102	—	7	1	no	—
1256	#102	—	7	1	no	—
1257	#102	—	7	1	no	—
1258	#102	—	7	1	no	—
1259	#102	—	7	1	no	—
1260	#102	—	7	1	no	—
1261	C₂²⋊C₈	—	7	1	no	—
1262	C₂²⋊C₈	—	7	1	no	—
1263	C₂²⋊C₈	—	7	1	no	—
1264	C₂²⋊C₈	—	7	1	no	—
1265	C₂²⋊C₈	—	7	1	no	—
1266	C₂²⋊C₈	—	7	1	no	—
1267	#97	—	7	1	no	—
1268	#97	—	7	1	no	—
1269	#97	—	7	1	no	—
1270	#97	—	7	1	no	—
1271	C₄×C₈	—	7	1	no	—
1272	C₄×C₈	—	7	1	no	—
1273	C₄×C₈	—	7	1	no	—
1274	C₄×C₈	—	7	1	no	—
1275	C₄×C₈	—	7	1	no	—
1276	C₄×C₈	—	7	1	no	—
1277	C₂²×C₇	—	2	1	no	—
1278	C₂²×C₇	—	2	1	no	—
1279	C₂²×C₇	—	2	1	no	—
1280	C₂²×C₇	—	2	1	no	—
1281	C₂²×C₇	—	2	1	no	—
1282	C₂²×C₇	—	2	1	no	—
1283	C₂²×C₇	—	2	2	no	—
1284	C₂²×C₇	—	2	1	no	—
1285	C₂²×C₇	—	2	1	no	—
1286	C₂²×C₇	—	4	1	no	—
1287	C₂²×C₇	—	4	1	no	—
1288	C₂²×C₇	—	4	1	no	—
1289	C₂²×C₇	—	4	1	no	—
1290	C₂²×C₇	—	4	1	no	—
1291	C₂²×C₇	—	4	1	no	—
1292	C₂²×C₇	—	4	1	no	—
1293	C₂²×C₇	—	4	1	no	—
1294	C₂²×C₇	—	8	4	no	—
1295	C₂²×C₇	—	16	2	no	—
1296	C₂²×C₇	#577	1	2	yes	—
1297	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1298	C₂×D₇	—	4	1	no	—
1299	C₂×D₇	—	4	1	no	—
1300	C₂×D₇	—	4	1	no	—
1301	C₄×C₇	—	2	1	no	—
1302	C₄×C₇	—	2	1	no	—
1303	C₄×C₇	—	2	1	no	—
1304	C₄×C₇	—	2	1	no	—
1305	C₄×C₇	—	2	1	no	—
1306	C₄×C₇	—	2	1	no	—
1307	C₄×C₇	—	2	1	no	—
1308	C₄×C₇	—	2	1	no	—
1309	C₄×C₇	—	2	1	no	—
1310	C₄×C₇	—	2	1	no	—
1311	C₄×C₇	—	2	1	no	—
1312	C₄×C₇	—	4	1	no	—
1313	C₄×C₇	—	4	1	no	—
1314	C₄×C₇	—	4	1	no	—
1315	C₄×C₇	—	4	1	no	—
1316	C₄×C₇	—	4	1	no	—
1317	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1318	C₄×C₇	#585	1	1	yes	characteristic
1319	Dic₇	—	2	2	no	—
1320	Dic₇	—	4	1	no	—
1321	Dic₇	—	4	1	no	—
1322	Dic₇	—	4	1	no	—
1323	Dic₇	—	4	1	no	—
1324	Dic₇	—	4	1	no	—
1325	Dic₇	—	4	1	no	—
1326	C₂⁴	—	2	1	no	—
1327	C₂⁴	—	2	1	no	—
1328	#41	—	2	2	no	—
1329	#41	—	4	1	no	—
1330	#41	—	8	2	no	—
1331	#41	—	14	2	no	—
1332	#41	—	28	1	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	—	7	1	no	—
1335	C₂×Q₈	—	7	1	no	—
1336	C₂×Q₈	—	7	1	no	—
1337	C₂×Q₈	—	14	2	no	—
1338	C₂×Q₈	—	14	2	no	—
1339	C₂×Q₈	—	14	1	no	—
1340	C₂×Q₈	—	14	1	no	—
1341	C₂×Q₈	—	14	1	no	—
1342	C₂×Q₈	—	28	1	no	—
1343	C₂×Q₈	—	28	1	no	—
1344	C₂×Q₈	C₂×C₂²⋊D₇	1	1	yes	characteristic
1345	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1346	C₂×D₄	—	2	2	no	—
1347	C₂×D₄	—	2	2	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	4	1	no	—
1358	C₂×D₄	—	4	1	no	—
1359	C₂×D₄	—	7	1	no	—
1360	C₂×D₄	—	8	2	no	—
1361	C₂×D₄	—	14	1	no	—
1362	C₂×D₄	—	14	1	no	—
1363	C₂×D₄	—	14	1	no	—
1364	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1365	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1366	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1367	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1368	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1369	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	8	2	no	—
1382	C₂²×C₄	—	14	1	no	—
1383	C₂²×C₄	—	14	1	no	—
1384	C₂²×C₄	—	14	1	no	—
1385	C₂²×C₄	—	14	1	no	—
1386	C₂²×C₄	—	14	1	no	—
1387	C₂²×C₄	—	14	1	no	—
1388	C₂²×C₄	—	14	1	no	—
1389	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1390	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1391	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1392	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1393	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1394	Q₁₆	—	14	2	no	—
1395	Q₁₆	—	28	1	no	—
1396	Q₁₆	—	28	1	no	—
1397	SD₁₆	—	7	4	no	—
1398	SD₁₆	—	14	2	no	—
1399	SD₁₆	—	14	2	no	—
1400	SD₁₆	—	14	2	no	—
1401	SD₁₆	—	14	2	no	—
1402	SD₁₆	—	14	2	no	—
1403	SD₁₆	—	14	2	no	—
1404	SD₁₆	—	14	2	no	—
1405	SD₁₆	—	28	1	no	—
1406	SD₁₆	—	28	1	no	—
1407	D₈	—	14	2	no	—
1408	D₈	—	28	1	no	—
1409	D₈	—	28	1	no	—
1410	M₁₆	—	28	1	no	—
1411	M₁₆	—	28	1	no	—
1412	C₂×C₈	—	7	1	no	—
1413	C₂×C₈	—	7	1	no	—
1414	C₂×C₈	—	7	1	no	—
1415	C₂×C₈	—	7	1	no	—
1416	C₂×C₈	—	7	1	no	—
1417	C₂×C₈	—	7	1	no	—
1418	C₂×C₈	—	7	1	no	—
1419	C₂×C₈	—	7	1	no	—
1420	C₂×C₈	—	14	2	no	—
1421	C₂×C₈	—	14	2	no	—
1422	C₂×C₈	—	14	2	no	—
1423	C₂×C₈	—	28	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	7	1	no	—
1436	C₄⋊C₄	—	7	1	no	—
1437	C₄⋊C₄	—	7	1	no	—
1438	C₄⋊C₄	—	7	1	no	—
1439	C₄⋊C₄	—	14	1	no	—
1440	C₄⋊C₄	—	14	1	no	—
1441	C₄⋊C₄	—	14	1	no	—
1442	C₄⋊C₄	—	14	1	no	—
1443	C₄⋊C₄	—	14	1	no	—
1444	C₄⋊C₄	—	14	1	no	—
1445	C₄⋊C₄	—	14	1	no	—
1446	C₄⋊C₄	—	14	1	no	—
1447	C₄⋊C₄	—	14	1	no	—
1448	C₄⋊C₄	—	14	1	no	—
1449	C₄⋊C₄	—	14	1	no	—
1450	C₄⋊C₄	—	14	1	no	—
1451	C₄⋊C₄	—	14	1	no	—
1452	C₄⋊C₄	—	14	1	no	—
1453	C₄⋊C₄	—	14	1	no	—
1454	C₄⋊C₄	—	14	1	no	—
1455	C₄⋊C₄	—	14	1	no	—
1456	C₄⋊C₄	—	14	1	no	—
1457	C₄⋊C₄	—	14	1	no	—
1458	C₄⋊C₄	—	14	1	no	—
1459	C₄⋊C₄	—	14	1	no	—
1460	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1463	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1464	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1465	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1466	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1467	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1468	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1469	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1470	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1471	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1472	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1473	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	14	1	no	—
1494	C₂²⋊C₄	—	14	1	no	—
1495	C₂²⋊C₄	—	14	1	no	—
1496	C₂²⋊C₄	—	14	1	no	—
1497	C₂²⋊C₄	—	14	1	no	—
1498	C₂²⋊C₄	—	14	1	no	—
1499	C₂²⋊C₄	—	14	1	no	—
1500	C₂²⋊C₄	—	14	1	no	—
1501	C₂²⋊C₄	—	14	1	no	—
1502	C₂²⋊C₄	—	14	1	no	—
1503	C₂²⋊C₄	—	14	1	no	—
1504	C₂²⋊C₄	—	14	1	no	—
1505	C₂²⋊C₄	—	14	1	no	—
1506	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1513	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1514	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	14	1	no	—
1520	C₄²	—	14	1	no	—
1521	C₄²	—	14	1	no	—
1522	C₄²	—	14	1	no	—
1523	C₄²	—	14	1	no	—
1524	C₄²	—	14	1	no	—
1525	C₄²	—	14	1	no	—
1526	C₄²	—	14	1	no	—
1527	C₄²	—	14	1	no	—
1528	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1529	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1530	C₄²	C₂³×D₇	1	1	yes	characteristic
1531	C₄²	C₂³×D₇	1	1	yes	characteristic
1532	C₄²	C₂³×D₇	1	1	yes	characteristic
1533	C₄²	C₂³×D₇	1	1	yes	characteristic
1534	C₂×C₇	—	2	2	no	—
1535	C₂×C₇	—	4	1	no	—
1536	C₂×C₇	—	4	1	no	—
1537	C₂×C₇	—	4	2	no	—
1538	C₂×C₇	—	8	1	no	—
1539	C₂×C₇	—	8	1	no	—
1540	C₂×C₇	D₄×#41	1	1	yes	characteristic
1541	C₂×C₇	C₂×#577	1	1	yes	characteristic
1542	C₂×C₇	#3584	1	1	yes	characteristic
1543	D₇	—	8	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	4	2	no	—
1548	C₂³	—	4	2	no	—
1549	C₂³	—	4	2	no	—
1550	C₂³	—	8	1	no	—
1551	C₂³	—	8	1	no	—
1552	C₂³	—	8	1	no	—
1553	C₂³	—	14	1	no	—
1554	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1555	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1556	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1557	Q₈	—	2	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	4	1	no	—
1560	Q₈	—	7	2	no	—
1561	Q₈	—	8	1	no	—
1562	Q₈	—	14	1	no	—
1563	Q₈	—	14	1	no	—
1564	Q₈	—	14	1	no	—
1565	Q₈	—	14	1	no	—
1566	Q₈	—	14	1	no	—
1567	Q₈	—	28	2	no	—
1568	Q₈	—	28	2	no	—
1569	Q₈	—	56	1	no	—
1570	D₄	—	2	2	no	—
1571	D₄	—	2	2	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	4	1	no	—
1578	D₄	—	4	2	no	—
1579	D₄	—	4	2	no	—
1580	D₄	—	4	2	no	—
1581	D₄	—	4	2	no	—
1582	D₄	—	8	1	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	14	1	no	—
1588	D₄	—	14	1	no	—
1589	D₄	—	28	2	no	—
1590	D₄	—	28	2	no	—
1591	D₄	—	56	1	no	—
1592	D₄	D₇×#41	1	2	yes	—
1593	C₂×C₄	—	2	2	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	4	1	no	—
1606	C₂×C₄	—	4	2	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	8	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	14	1	no	—
1618	C₂×C₄	—	14	1	no	—
1619	C₂×C₄	—	14	1	no	—
1620	C₂×C₄	—	14	1	no	—
1621	C₂×C₄	—	14	1	no	—
1622	C₂×C₄	—	14	1	no	—
1623	C₂×C₄	—	14	1	no	—
1624	C₂×C₄	—	28	2	no	—
1625	C₂×C₄	—	28	2	no	—
1626	C₂×C₄	—	28	2	no	—
1627	C₂×C₄	—	56	1	no	—
1628	C₂×C₄	—	56	1	no	—
1629	C₂×C₄	—	56	1	no	—
1630	C₂×C₄	—	56	1	no	—
1631	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1632	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1633	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1634	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1635	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1636	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1638	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1642	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1643	C₈	—	7	2	no	—
1644	C₈	—	14	1	no	—
1645	C₈	—	14	1	no	—
1646	C₈	—	14	1	no	—
1647	C₈	—	14	1	no	—
1648	C₈	—	14	1	no	—
1649	C₈	—	14	1	no	—
1650	C₈	—	14	1	no	—
1651	C₇	#61472	1	1	yes	characteristic, complemented, Sylow
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	2	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	8	4	no	—
1670	C₂²	—	16	2	no	—
1671	C₂²	—	28	1	no	—
1672	C₂²	—	28	1	no	—
1673	C₂²	—	28	1	no	—
1674	C₂²	#90527	1	2	yes	—
1675	C₂²	C₂³×C₂²⋊D₇	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	14	2	no	—
1693	C₄	—	28	1	no	—
1694	C₄	—	28	1	no	—
1695	C₄	—	28	1	no	—
1696	C₄	—	28	1	no	—
1697	C₄	—	28	1	no	—
1698	C₄	—	28	1	no	—
1699	C₄	C₂×D₇×#41	1	1	yes	characteristic
1700	C₄	#90616	1	1	yes	characteristic
1701	C₂	—	2	2	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	4	2	no	—
1705	C₂	—	8	1	no	—
1706	C₂	—	8	1	no	—
1707	C₂	—	56	1	no	—
1708	C₂	#41×C₂²⋊D₇	1	1	yes	characteristic
1709	C₂	C₂×#90527	1	1	yes	characteristic
1710	C₂	#11744365	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₇
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#3513	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#3513	D₇
hypocenter	C₇	#61472
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3513

Complements

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

N	H ≅ G/N	type
1. C₇×#3513	C₂	semidirect
2. #11743192	C₂	semidirect
3. #11741163	C₂	semidirect
4. #11741155	C₂	semidirect
5. #11741090	C₂	semidirect
6. #11741074	C₂	semidirect
7. #11741066	C₂	semidirect
8. #11741051	C₂	semidirect
9. #11741048	C₂	semidirect
10. #11741036	C₂	semidirect
11. #11740977	C₂	semidirect
12. #11740962	C₂	semidirect
13. #11740954	C₂	semidirect
14. #11740954	C₂	semidirect
15. #11740946	C₂	semidirect
16. #11740943	C₂	semidirect
17. D₄×#1142	C₂	semidirect
18. #11740930	C₂	semidirect
19. #11740912	C₂	semidirect
20. #11740901	C₂	semidirect
21. #11740879	C₂	semidirect
22. #11740876	C₂	semidirect
23. #11740598	C₂	semidirect
24. #11740579	C₂	semidirect
25. #11740571	C₂	semidirect
26. #11740020	C₂	semidirect
27. #11740003	C₂	semidirect
28. #11739988	C₂	semidirect
29. #11739986	C₂	semidirect
30. C₂×C₄×#1142	C₂	semidirect
31. #11739756	C₂	semidirect
66. #90275	C₂²	semidirect
67. #90258	C₂²	semidirect
69. #90243	C₂²	semidirect
70. #90243	C₂²	semidirect
71. #90234	C₂²	semidirect
72. #90232	C₂²	semidirect
74. #90225	C₂²	semidirect
75. #90214	C₂²	semidirect
76. #90209	C₂²	semidirect
77. #90207	C₂²	semidirect
78. #90170	C₂²	semidirect
79. C₂×C₄×Dic₁₄	C₂²	semidirect
89. #89866	C₂²	semidirect
90. #89863	C₂²	semidirect
91. #89861	C₂²	semidirect
92. #89851	C₂²	semidirect
97. #89841	C₂²	semidirect
98. #89840	C₂²	semidirect
99. #89838	C₂²	semidirect
100. #89836	C₂²	semidirect
101. #89836	C₂²	semidirect
102. #89835	C₂²	semidirect
103. #89835	C₂²	semidirect
104. #89835	C₂²	semidirect
105. #89831	C₂²	semidirect
106. #89831	C₂²	semidirect
107. #89828	C₂²	semidirect
108. #89827	C₂²	semidirect
109. #89826	C₂²	semidirect
110. #89826	C₂²	semidirect
111. #89826	C₂²	semidirect
112. #89826	C₂²	semidirect
113. #89824	C₂²	semidirect
114. #89823	C₂²	semidirect
115. #89822	C₂²	semidirect
116. #89822	C₂²	semidirect
117. #89820	C₂²	semidirect
118. #89820	C₂²	semidirect
119. #89817	C₂²	semidirect
120. #89816	C₂²	semidirect
121. #89814	C₂²	semidirect
122. #89814	C₂²	semidirect
125. #89813	C₂²	semidirect
126. #89813	C₂²	semidirect
131. #89809	C₂²	semidirect
132. #89809	C₂²	semidirect
135. #89806	C₂²	semidirect
136. #89805	C₂²	semidirect
137. #89803	C₂²	semidirect
138. #89802	C₂²	semidirect
139. #89802	C₂²	semidirect
140. #89802	C₂²	semidirect
141. C₄×#1144	C₂²	semidirect
142. C₄×#1143	C₂²	semidirect
143. C₄×#1143	C₂²	semidirect
144. #89796	C₂²	semidirect
145. Q₈×C₇⋊C₈	C₂²	semidirect
146. #89794	C₂²	semidirect
150. #89790	C₂²	semidirect
151. #89790	C₂²	semidirect
152. #89790	C₂²	semidirect
153. #89790	C₂²	semidirect
160. C₄×#1142	C₂²	semidirect
161. C₄×#1142	C₂²	semidirect
162. C₄×#1142	C₂²	semidirect
163. C₄×#1142	C₂²	semidirect
164. C₄×#1142	C₂²	semidirect
165. C₄×#1142	C₂²	semidirect
168. #89788	C₂²	semidirect
169. #89788	C₂²	semidirect
172. #89786	C₂²	semidirect
173. C₄×#1141	C₂²	semidirect
174. #89784	C₂²	semidirect
176. #89783	C₂²	semidirect
178. D₄×C₇⋊C₈	C₂²	semidirect
179. D₄×C₇⋊C₈	C₂²	semidirect
182. #89781	C₂²	semidirect
183. #89780	C₂²	semidirect
185. #89776	C₂²	semidirect
186. #89775	C₂²	semidirect
187. #89772	C₂²	semidirect
188. #89772	C₂²	semidirect
189. #89770	C₂²	semidirect
190. #89769	C₂²	semidirect
191. #89769	C₂²	semidirect
192. #89768	C₂²	semidirect
193. #89743	C₂²	semidirect
194. #89743	C₂²	semidirect
195. #89742	C₂²	semidirect
196. C₂×#6384	C₂²	semidirect
197. #89739	C₂²	semidirect
198. #89738	C₂²	semidirect
199. C₂×#6382	C₂²	semidirect
200. C₂×#6382	C₂²	semidirect
201. #89698	C₂²	semidirect
202. C₂×C₄×C₇⋊C₈	C₂²	semidirect
483. #3513	D₇	semidirect
661. #1142	#41	semidirect
1651. C₇	#61472	semidirect

Maximal subgroups

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

subgroup	index
C₇×#3513	2
#11743192	2
#11741163	2
#11741155	2
#11741090	2
#11741074	2
#11741066	2
#11741051	2
#11741048	2
#11741036	2
#11740977	2
#11740962	2
#11740954	2
#11740946	2
#11740943	2
D₄×#1142	2
#11740930	2
#11740912	2
#11740901	2
#11740879	2
#11740876	2
#11740598	2
#11740579	2
#11740571	2
#11740020	2
#11740003	2
#11739988	2
#11739986	2
C₂×C₄×#1142	2
#11739756	2
#61472	7