Subgroups — #14236190

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×#3516	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743229	C₂	1	1	yes	maximal, characteristic, complemented
3	#11741138	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741136	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741124	C₂	1	1	yes	maximal, characteristic, complemented
6	#11741114	C₂	1	1	yes	maximal, characteristic, complemented
7	#11741080	C₂	1	1	yes	maximal, characteristic, complemented
8	#11741067	C₂	1	1	yes	maximal, characteristic, complemented
9	#11741061	C₂	1	1	yes	maximal, characteristic, complemented
10	#11741051	C₂	1	1	yes	maximal, characteristic, complemented
11	#11741046	C₂	1	1	yes	maximal, characteristic, complemented
12	#11741036	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×#1143	C₂	1	1	yes	maximal, characteristic, complemented
14	#11740997	C₂	1	1	yes	maximal, characteristic, complemented
15	#11740990	C₂	1	1	yes	maximal, characteristic, complemented
16	#11740990	C₂	1	1	yes	maximal, characteristic, complemented
17	#11740985	C₂	1	1	yes	maximal, characteristic, complemented
18	#11740981	C₂	1	1	yes	maximal, characteristic, complemented
19	#11740905	C₂	1	1	yes	maximal, characteristic, complemented
20	#11740901	C₂	1	1	yes	maximal, characteristic, complemented
21	#11740891	C₂	1	1	yes	maximal, characteristic, complemented
22	#11740888	C₂	1	1	yes	maximal, characteristic, complemented
23	#11740588	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	#11740013	C₂	1	1	yes	maximal, characteristic, complemented
27	#11740003	C₂	1	1	yes	maximal, characteristic, complemented
28	#11739997	C₂	1	1	yes	maximal, characteristic, complemented
29	#11739993	C₂	1	1	yes	maximal, characteristic, complemented
30	#11739890	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×#1143	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#557	C₂²	1	1	yes	characteristic, complemented
33	C₇×#556	—	2	1	no	—
34	C₇×#556	C₂²	1	1	yes	characteristic, complemented
35	C₇×#554	—	2	1	no	—
36	C₇×#554	C₂²	1	1	yes	characteristic, complemented
37	C₇×#553	—	2	1	no	—
38	C₇×#553	C₂²	1	1	yes	characteristic
39	C₇×#552	—	2	1	no	—
40	C₇×#552	C₂²	1	1	yes	characteristic, complemented
41	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
42	C₇×#548	C₂²	1	1	yes	characteristic, complemented
43	C₇×#548	C₂²	1	1	yes	characteristic, complemented
44	C₇×#542	—	2	1	no	—
45	C₇×#542	C₂²	1	1	yes	characteristic, complemented
46	C₇×#541	—	2	1	no	—
47	C₇×#541	C₂²	1	1	yes	characteristic, complemented
48	C₇×#529	—	2	1	no	—
49	C₇×#529	—	2	1	no	—
50	C₇×#529	C₂²	1	1	yes	characteristic
51	C₇×#529	C₂²	1	1	yes	characteristic, complemented
52	C₇×#520	C₂²	1	1	yes	characteristic, complemented
53	C₇×#519	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×#6513	C₂²	1	1	yes	characteristic
56	C₂²×#1143	C₂²	1	1	yes	characteristic
57	C₂²×#1143	C₂²	1	1	yes	characteristic
58	#90400	—	2	1	no	—
59	#90396	—	2	1	no	—
60	#90383	—	2	1	no	—
61	#90369	—	2	1	no	—
62	#90347	—	2	1	no	—
63	D₇×#123	—	2	1	no	—
64	#90328	—	2	1	no	—
65	#90301	—	2	1	no	—
66	#90276	C₂²	1	1	yes	characteristic
67	#90270	C₂²	1	1	yes	characteristic
68	#90256	C₂²	1	1	yes	characteristic
69	#90246	C₂²	1	1	yes	characteristic
70	#90241	C₂²	1	1	yes	characteristic
71	#90241	C₂²	1	1	yes	characteristic
72	D₄×D₂₈	C₂²	1	1	yes	characteristic
73	#90232	C₂²	1	1	yes	characteristic
74	#90226	C₂²	1	1	yes	characteristic
75	#90225	C₂²	1	1	yes	characteristic
76	#90214	C₂²	1	1	yes	characteristic
77	#90212	C₂²	1	1	yes	characteristic
78	#90170	C₂²	1	1	yes	characteristic
79	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic
80	#90010	C₂²	1	1	yes	characteristic, complemented
81	#90010	C₂²	1	1	yes	characteristic, complemented
82	#90004	C₂²	1	1	yes	characteristic, complemented
83	#90000	C₂²	1	1	yes	characteristic, complemented
84	#90000	C₂²	1	1	yes	characteristic, complemented
85	#89999	C₂²	1	1	yes	characteristic
86	#89999	C₂²	1	1	yes	characteristic
87	#89997	C₂²	1	1	yes	characteristic, complemented
88	C₂×#6409	C₂²	1	1	yes	characteristic, complemented
89	#89862	C₂²	1	1	yes	characteristic, complemented
90	#89861	C₂²	1	1	yes	characteristic, complemented
91	#89859	C₂²	1	1	yes	characteristic
92	#89857	C₂²	1	1	yes	characteristic
93	#89856	C₂²	1	1	yes	characteristic, complemented
94	#89855	C₂²	1	1	yes	characteristic
95	#89854	C₂²	1	1	yes	characteristic, complemented
96	#89851	C₂²	1	1	yes	characteristic, complemented
97	#89840	C₂²	1	1	yes	characteristic, complemented
98	#89839	C₂²	1	1	yes	characteristic
99	#89838	C₂²	1	1	yes	characteristic
100	#89838	C₂²	1	1	yes	characteristic
101	#89838	C₂²	1	1	yes	characteristic, complemented
102	#89836	C₂²	1	1	yes	characteristic, complemented
103	#89836	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	#89829	C₂²	1	1	yes	characteristic
108	#89829	C₂²	1	1	yes	characteristic
109	#89829	C₂²	1	1	yes	characteristic, complemented
110	#89829	C₂²	1	1	yes	characteristic, complemented
111	#89828	C₂²	1	1	yes	characteristic, complemented
112	#89827	C₂²	1	1	yes	characteristic, complemented
113	#89824	C₂²	1	1	yes	characteristic, complemented
114	#89823	C₂²	1	1	yes	characteristic, complemented
115	#89821	C₂²	1	1	yes	characteristic, complemented
116	#89821	C₂²	1	1	yes	characteristic, complemented
117	#89820	C₂²	1	1	yes	characteristic
118	#89820	C₂²	1	1	yes	characteristic
119	#89820	C₂²	1	1	yes	characteristic, complemented
120	#89820	C₂²	1	1	yes	characteristic, complemented
121	#89819	C₂²	1	1	yes	characteristic
122	#89819	C₂²	1	1	yes	characteristic
123	#89818	C₂²	1	1	yes	characteristic
124	#89818	C₂²	1	1	yes	characteristic
125	#89817	C₂²	1	1	yes	characteristic, complemented
126	#89816	C₂²	1	1	yes	characteristic, complemented
127	#89815	C₂²	1	1	yes	characteristic, complemented
128	#89815	C₂²	1	1	yes	characteristic, complemented
129	#89813	C₂²	1	1	yes	characteristic, complemented
130	#89813	C₂²	1	1	yes	characteristic, complemented
131	#89811	C₂²	1	1	yes	characteristic
132	#89810	C₂²	1	1	yes	characteristic
133	#89808	C₂²	1	1	yes	characteristic
134	#89808	C₂²	1	1	yes	characteristic
135	#89807	C₂²	1	1	yes	characteristic, complemented
136	#89805	C₂²	1	1	yes	characteristic, complemented
137	#89802	C₂²	1	1	yes	characteristic, complemented
138	#89802	C₂²	1	1	yes	characteristic, complemented
139	#89802	C₂²	1	1	yes	characteristic, complemented
140	C₄×#1144	C₂²	1	1	yes	characteristic, complemented
141	#89800	C₂²	1	1	yes	characteristic, complemented
142	#89800	C₂²	1	1	yes	characteristic, complemented
143	#89800	C₂²	1	1	yes	characteristic, complemented
144	#89800	C₂²	1	1	yes	characteristic, complemented
145	#89799	C₂²	1	1	yes	characteristic
146	#89798	C₂²	1	1	yes	characteristic
147	#89798	C₂²	1	1	yes	characteristic
148	#89798	C₂²	1	1	yes	characteristic, complemented
149	#89798	C₂²	1	1	yes	characteristic, complemented
150	#89798	C₂²	1	1	yes	characteristic, complemented
151	#89798	C₂²	1	1	yes	characteristic, complemented
152	C₄×#1143	C₂²	1	1	yes	characteristic
153	C₄×#1143	C₂²	1	1	yes	characteristic
154	C₄×#1143	C₂²	1	1	yes	characteristic
155	C₄×#1143	C₂²	1	1	yes	characteristic
156	C₄×#1143	C₂²	1	1	yes	characteristic
157	C₄×#1143	C₂²	1	1	yes	characteristic
158	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
159	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
160	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
161	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
162	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
163	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
164	#89796	C₂²	1	1	yes	characteristic, complemented
165	Q₈×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
166	#89794	C₂²	1	1	yes	characteristic, complemented
167	#89794	C₂²	1	1	yes	characteristic, complemented
168	#89794	C₂²	1	1	yes	characteristic, complemented
169	#89793	C₂²	1	1	yes	characteristic, complemented
170	#89792	C₂²	1	1	yes	characteristic, complemented
171	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
172	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
173	#89787	C₂²	1	1	yes	characteristic
174	#89786	C₂²	1	1	yes	characteristic
175	#89786	C₂²	1	1	yes	characteristic
176	#89786	C₂²	1	1	yes	characteristic, complemented
177	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
178	#89784	C₂²	1	1	yes	characteristic, complemented
179	#89783	C₂²	1	1	yes	characteristic
180	#89783	C₂²	1	1	yes	characteristic, complemented
181	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
182	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
183	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
184	#89781	C₂²	1	1	yes	characteristic, complemented
185	#89775	C₂²	1	1	yes	characteristic
186	#89773	C₂²	1	1	yes	characteristic
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	#89742	C₂²	1	1	yes	characteristic, complemented
194	#89740	C₂²	1	1	yes	characteristic
195	#89740	C₂²	1	1	yes	characteristic, complemented
196	#89739	C₂²	1	1	yes	characteristic, complemented
197	#89738	C₂²	1	1	yes	characteristic
198	C₂×#6383	C₂²	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
205	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
206	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
207	C₂×#1159	—	2	1	no	—
208	C₂×D₄×D₇	—	2	1	no	—
209	C₂×#1157	C₂³	1	1	yes	characteristic
210	C₂²×D₂₈	C₂³	1	1	yes	characteristic
211	C₂²×D₂₈	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₇	—	2	1	no	—
213	C₇×C₄⋊Q₈	—	2	1	no	—
214	C₇×C₄⋊Q₈	—	2	1	no	—
215	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₇×#126	—	2	1	no	—
218	C₇×#126	—	2	1	no	—
219	C₇×#126	—	2	1	no	—
220	C₇×#126	—	2	1	no	—
221	C₇×#126	—	2	1	no	—
222	C₇×#126	—	2	1	no	—
223	C₇×#126	—	2	1	no	—
224	C₇×#126	—	2	1	no	—
225	C₇×#126	D₄	1	1	yes	characteristic
226	C₇×#126	D₄	1	1	yes	characteristic
227	C₇×#125	—	2	1	no	—
228	C₇×#125	—	2	1	no	—
229	C₇×#125	—	2	1	no	—
230	C₇×#125	—	2	1	no	—
231	C₇×#125	—	2	1	no	—
232	C₇×#125	—	2	1	no	—
233	C₇×#125	D₄	1	1	yes	characteristic
234	C₇×#125	C₂³	1	1	yes	characteristic
235	C₇×#125	C₂³	1	1	yes	characteristic
236	C₇×#124	—	2	1	no	—
237	C₇×#124	—	2	1	no	—
238	C₇×#124	—	2	1	no	—
239	C₇×#124	D₄	1	1	yes	characteristic
240	C₇×#124	C₂³	1	1	yes	characteristic
241	C₇×#124	C₂³	1	1	yes	characteristic
242	C₇×#123	—	2	1	no	—
243	C₇×#123	—	2	1	no	—
244	C₇×#123	—	2	1	no	—
245	C₇×#123	—	2	1	no	—
246	C₇×#123	D₄	1	1	yes	characteristic
247	C₇×#123	D₄	1	1	yes	characteristic
248	C₇×C₂²⋊Q₈	—	2	1	no	—
249	C₇×C₂²⋊Q₈	—	2	1	no	—
250	C₇×C₂²⋊Q₈	—	2	1	no	—
251	C₇×C₂²⋊Q₈	—	2	1	no	—
252	C₇×C₂²⋊Q₈	—	2	1	no	—
253	C₇×C₂²⋊Q₈	—	2	1	no	—
254	C₇×C₂²⋊Q₈	—	2	1	no	—
255	C₇×C₂²⋊Q₈	—	2	1	no	—
256	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
257	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
259	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
260	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₇×#121	—	2	1	no	—
262	C₇×#121	—	2	1	no	—
263	C₇×#121	—	2	1	no	—
264	C₇×#121	D₄	1	1	yes	characteristic
265	C₇×#121	C₂³	1	1	yes	characteristic
266	C₇×#121	C₂³	1	1	yes	characteristic
267	C₄×C₇×Q₈	—	2	1	no	—
268	C₄×C₇×Q₈	—	2	1	no	—
269	C₄×C₇×Q₈	—	2	1	no	—
270	C₄×C₇×Q₈	—	2	1	no	—
271	C₄×C₇×Q₈	—	2	1	no	—
272	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
273	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
274	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
275	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
276	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
277	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
278	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
279	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
280	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
281	C₄×C₇×D₄	—	2	1	no	—
282	C₄×C₇×D₄	—	2	1	no	—
283	C₄×C₇×D₄	—	2	1	no	—
284	C₄×C₇×D₄	—	2	1	no	—
285	C₄×C₇×D₄	—	2	1	no	—
286	C₄×C₇×D₄	—	2	1	no	—
287	C₄×C₇×D₄	—	2	1	no	—
288	C₄×C₇×D₄	—	2	1	no	—
289	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
290	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
291	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
292	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
293	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
294	C₇×#117	—	2	1	no	—
295	C₇×#117	—	2	1	no	—
296	C₇×#117	—	2	1	no	—
297	C₇×#117	—	2	1	no	—
298	C₇×#117	—	2	1	no	—
299	C₇×#117	—	2	1	no	—
300	C₇×#117	C₂³	1	1	yes	characteristic
301	C₇×#117	C₂³	1	1	yes	characteristic
302	C₇×#117	C₂³	1	1	yes	characteristic
303	C₂×C₇×C₄⋊C₄	—	2	1	no	—
304	C₂×C₇×C₄⋊C₄	—	2	1	no	—
305	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₇	—	2	1	no	—
308	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
309	#6513	—	2	4	no	—
310	#6510	—	2	1	no	—
311	#6509	—	2	1	no	—
312	C₂×#1144	C₂³	1	1	yes	characteristic
313	C₂×#1144	C₂³	1	1	yes	characteristic
314	C₂×#1144	C₂³	1	1	yes	characteristic
315	C₂×#1143	—	2	4	no	—
316	C₂×#1143	—	2	4	no	—
317	C₂×#1143	C₂³	1	1	yes	characteristic
318	C₂×#1143	C₂³	1	1	yes	characteristic
319	C₂×#1143	C₂³	1	1	yes	characteristic
320	C₂×#1143	C₂³	1	1	yes	characteristic
321	C₂×#1143	C₂³	1	1	yes	characteristic
322	C₂×#1143	C₂³	1	1	yes	characteristic
323	C₂×#1143	C₂³	1	1	yes	characteristic
324	C₂×#1143	C₂³	1	1	yes	characteristic
325	C₂×#1143	C₂³	1	1	yes	characteristic
326	#6502	—	2	1	no	—
327	#6500	—	2	1	no	—
328	#6500	—	2	1	no	—
329	#6498	—	2	1	no	—
330	C₂×#1142	C₂³	1	1	yes	characteristic
331	C₂×#1141	C₂³	1	1	yes	characteristic
332	C₂×#1141	C₂³	1	1	yes	characteristic
333	C₂×#1141	C₂³	1	1	yes	characteristic
334	#6493	C₂³	1	1	yes	characteristic
335	#6493	C₂³	1	1	yes	characteristic
336	#6493	C₂³	1	1	yes	characteristic
337	#6493	C₂³	1	1	yes	characteristic
338	#6492	—	2	1	no	—
339	C₄×C₂²⋊D₇	—	2	1	no	—
340	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
341	#6489	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
344	#6487	C₂³	1	1	yes	characteristic
345	#6487	C₂³	1	1	yes	characteristic
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	#6460	—	2	1	no	—
355	#6459	—	2	1	no	—
356	#6459	—	2	1	no	—
357	#6459	—	2	1	no	—
358	#6458	—	2	1	no	—
359	#6457	—	2	1	no	—
360	#6457	—	2	1	no	—
361	#6457	—	2	1	no	—
362	#6457	—	2	1	no	—
363	#6457	—	2	1	no	—
364	#6457	—	2	1	no	—
365	#6456	—	2	1	no	—
366	#6456	—	2	1	no	—
367	#6456	—	2	1	no	—
368	#6455	—	2	1	no	—
369	D₇×C₄⋊C₄	—	2	1	no	—
370	D₇×C₄⋊C₄	—	2	1	no	—
371	#6452	—	2	1	no	—
372	#6449	—	2	1	no	—
373	#6449	—	2	1	no	—
374	#6448	—	2	1	no	—
375	#6447	—	2	1	no	—
376	#6447	—	2	1	no	—
377	#6447	—	2	1	no	—
378	#6447	—	2	1	no	—
379	#6446	—	2	1	no	—
380	#6446	—	2	1	no	—
381	#6445	—	2	1	no	—
382	#6445	—	2	1	no	—
383	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
384	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
385	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
386	D₇×C₂²⋊C₄	—	2	1	no	—
387	D₇×C₂²⋊C₄	—	2	1	no	—
388	D₇×C₂²⋊C₄	—	2	1	no	—
389	D₇×C₂²⋊C₄	—	2	1	no	—
390	#6442	—	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	#6437	C₂³	1	1	yes	characteristic
396	C₄×D₂₈	—	2	1	no	—
397	C₄×D₂₈	—	2	1	no	—
398	C₄×D₂₈	C₂³	1	1	yes	characteristic
399	C₄×D₂₈	C₂³	1	1	yes	characteristic
400	C₄×D₂₈	C₂³	1	1	yes	characteristic
401	C₄×D₂₈	C₂³	1	1	yes	characteristic
402	C₄×D₂₈	C₂³	1	1	yes	characteristic
403	C₄×D₂₈	C₂³	1	1	yes	characteristic
404	C₄×D₂₈	C₂³	1	1	yes	characteristic
405	C₄×D₂₈	C₂³	1	1	yes	characteristic
406	#6435	—	2	1	no	—
407	#6433	C₂³	1	1	yes	characteristic
408	#6433	C₂³	1	1	yes	characteristic
409	#6432	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	#6409	C₂³	1	1	yes	characteristic
417	#6409	C₂³	1	1	yes	characteristic
418	#6409	C₂³	1	1	yes	characteristic
419	#6409	C₂³	1	1	yes	characteristic
420	#6409	C₂³	1	1	yes	characteristic
421	#6409	C₂³	1	1	yes	characteristic
422	#6409	C₂³	1	1	yes	characteristic
423	#6409	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	#6383	C₂³	1	1	yes	characteristic
439	#6383	C₂³	1	1	yes	characteristic
440	#6383	C₂³	1	1	yes	characteristic
441	#6383	C₂³	1	1	yes	characteristic
442	#6383	C₂³	1	1	yes	characteristic
443	#6383	C₂³	1	1	yes	characteristic
444	#6383	C₂³	1	1	yes	characteristic
445	#6383	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	D₇	1	1	yes	characteristic, complemented
483	#3513	—	7	1	no	—
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	C₂³×D₇	—	2	1	no	—
514	C₂³×D₇	—	2	1	no	—
515	C₇×#41	—	2	2	no	—
516	C₇×#41	—	4	1	no	—
517	C₂×C₇×Q₈	—	2	1	no	—
518	C₂×C₇×Q₈	—	2	1	no	—
519	C₂×C₇×Q₈	—	2	1	no	—
520	C₂×C₇×Q₈	—	2	2	no	—
521	C₂×C₇×Q₈	—	2	2	no	—
522	C₂×C₇×Q₈	—	4	1	no	—
523	C₂×C₇×Q₈	—	4	1	no	—
524	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
525	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
526	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
527	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
532	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
533	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
534	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₇	—	2	1	no	—
536	C₂²×C₄×C₇	—	2	1	no	—
537	C₂²×C₄×C₇	—	2	1	no	—
538	C₂²×C₄×C₇	—	2	1	no	—
539	C₂²×C₄×C₇	—	2	1	no	—
540	C₂²×C₄×C₇	—	2	1	no	—
541	C₂²×C₄×C₇	—	2	1	no	—
542	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
543	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
547	C₂×C₂²⋊D₇	—	2	1	no	—
548	C₂×C₂²⋊D₇	—	2	1	no	—
549	C₂×C₂²⋊D₇	—	2	1	no	—
550	C₂×C₂²⋊D₇	—	2	1	no	—
551	C₂×C₂²⋊D₇	—	2	1	no	—
552	C₂²×Dic₇	—	2	1	no	—
553	C₂²×Dic₇	—	2	1	no	—
554	#1159	—	8	2	no	—
555	D₄×D₇	—	8	2	no	—
556	#1157	—	2	2	no	—
557	#1157	—	4	1	no	—
558	C₂×D₂₈	—	2	2	no	—
559	C₂×D₂₈	—	2	2	no	—
560	C₂×D₂₈	—	2	1	no	—
561	C₂×D₂₈	—	2	1	no	—
562	C₂×D₂₈	—	2	1	no	—
563	C₂×D₂₈	—	2	1	no	—
564	C₂×D₂₈	—	4	1	no	—
565	C₂×D₂₈	—	4	1	no	—
566	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
567	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
568	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₇	—	2	1	no	—
570	C₂×C₄×D₇	—	2	1	no	—
571	C₂×C₄×D₇	—	2	1	no	—
572	C₂×C₄×D₇	—	2	1	no	—
573	C₂×C₄×D₇	—	2	1	no	—
574	C₂×C₄×D₇	—	2	1	no	—
575	C₂×C₄×D₇	—	2	1	no	—
576	C₂×C₄×D₇	—	2	1	no	—
577	C₂×C₄×D₇	—	2	1	no	—
578	C₂×C₄×D₇	—	8	2	no	—
579	C₂×Dic₁₄	—	2	1	no	—
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	—	2	1	no	—
593	C₇×C₄⋊C₄	—	2	1	no	—
594	C₇×C₄⋊C₄	—	2	1	no	—
595	C₇×C₄⋊C₄	—	2	1	no	—
596	C₇×C₄⋊C₄	—	2	1	no	—
597	C₇×C₄⋊C₄	—	2	1	no	—
598	C₇×C₄⋊C₄	—	2	1	no	—
599	C₇×C₄⋊C₄	—	2	1	no	—
600	C₇×C₄⋊C₄	—	2	1	no	—
601	C₇×C₄⋊C₄	—	2	1	no	—
602	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
626	C₇×C₂²⋊C₄	—	2	1	no	—
627	C₇×C₂²⋊C₄	—	2	1	no	—
628	C₇×C₂²⋊C₄	—	2	1	no	—
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	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₄²×C₇	—	2	1	no	—
640	C₄²×C₇	—	2	1	no	—
641	C₄²×C₇	—	2	1	no	—
642	C₄²×C₇	—	2	1	no	—
643	C₄²×C₇	—	2	1	no	—
644	C₄²×C₇	—	2	1	no	—
645	C₄²×C₇	—	2	1	no	—
646	C₄²×C₇	—	2	1	no	—
647	C₄²×C₇	—	2	1	no	—
648	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
649	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
650	C₄²×C₇	C₂⁴	1	1	yes	characteristic
651	C₄²×C₇	C₂⁴	1	1	yes	characteristic
652	C₄²×C₇	C₂⁴	1	1	yes	characteristic
653	C₄²×C₇	C₂⁴	1	1	yes	characteristic
654	C₂²⋊Dic₇	—	2	1	no	—
655	C₂²⋊Dic₇	—	2	1	no	—
656	C₂²⋊Dic₇	—	2	1	no	—
657	#1144	—	2	2	no	—
658	#1144	—	4	1	no	—
659	#1144	—	4	1	no	—
660	#1143	—	2	2	no	—
661	#1143	—	2	2	no	—
662	#1143	—	2	2	no	—
663	#1143	—	2	2	no	—
664	#1143	—	2	2	no	—
665	#1143	—	2	2	no	—
666	#1143	—	4	1	no	—
667	#1143	—	4	1	no	—
668	#1143	#41	1	4	yes	complemented
669	#1142	—	2	2	no	—
670	#1141	—	2	2	no	—
671	#1141	—	4	1	no	—
672	#1141	—	4	1	no	—
673	(C₂×D₇)⋊C₄	—	2	1	no	—
674	(C₂×D₇)⋊C₄	—	2	1	no	—
675	(C₂×D₇)⋊C₄	—	2	1	no	—
676	(C₂×D₇)⋊C₄	—	2	1	no	—
677	(C₂×D₇)⋊C₄	—	2	1	no	—
678	(C₂×D₇)⋊C₄	—	2	1	no	—
679	(C₂×D₇)⋊C₄	—	2	1	no	—
680	(C₂×D₇)⋊C₄	—	2	1	no	—
681	(C₂×D₇)⋊C₄	—	2	1	no	—
682	(C₂×D₇)⋊C₄	—	2	1	no	—
683	(C₂×D₇)⋊C₄	—	2	1	no	—
684	(C₂×D₇)⋊C₄	—	2	1	no	—
685	(C₂×D₇)⋊C₄	—	2	1	no	—
686	(C₂×D₇)⋊C₄	—	2	1	no	—
687	(C₂×D₇)⋊C₄	—	2	1	no	—
688	(C₂×D₇)⋊C₄	—	2	1	no	—
689	C₄⋊Dic₇	—	2	1	no	—
690	C₄⋊Dic₇	—	2	1	no	—
691	C₄⋊Dic₇	—	2	1	no	—
692	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
693	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
694	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
695	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
696	Dic₇⋊C₄	—	2	1	no	—
697	Dic₇⋊C₄	—	2	1	no	—
698	Dic₇⋊C₄	—	2	1	no	—
699	Dic₇⋊C₄	—	2	1	no	—
700	Dic₇⋊C₄	—	2	1	no	—
701	Dic₇⋊C₄	—	2	1	no	—
702	Dic₇⋊C₄	—	2	1	no	—
703	Dic₇⋊C₄	—	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	—	7	1	no	—
725	#557	C₂×D₇	1	1	yes	characteristic, complemented
726	#556	—	2	1	no	—
727	#556	C₂×D₇	1	1	yes	characteristic, complemented
728	#554	—	2	1	no	—
729	#554	—	7	1	no	—
730	#554	C₂×D₇	1	1	yes	characteristic, complemented
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	—	2	1	no	—
736	#552	—	7	1	no	—
737	#552	C₂×D₇	1	1	yes	characteristic, complemented
738	#551	—	14	1	no	—
739	#551	—	14	1	no	—
740	D₄×Q₈	C₂×D₇	1	1	yes	characteristic
741	#548	C₂×D₇	1	1	yes	characteristic, complemented
742	#548	C₂×D₇	1	1	yes	characteristic, complemented
743	#547	—	7	1	no	—
744	#546	—	7	1	no	—
745	#546	—	7	1	no	—
746	#546	—	14	1	no	—
747	D₄²	—	7	1	no	—
748	#542	—	2	1	no	—
749	#542	—	7	1	no	—
750	#542	C₂×D₇	1	1	yes	characteristic, complemented
751	#541	—	2	1	no	—
752	#541	C₂×D₇	1	1	yes	characteristic, complemented
753	#540	—	7	1	no	—
754	#539	—	14	1	no	—
755	#538	—	14	1	no	—
756	#529	—	2	1	no	—
757	#529	—	2	1	no	—
758	#529	—	7	1	no	—
759	#529	C₂×D₇	1	1	yes	characteristic
760	#529	C₂×D₇	1	1	yes	characteristic, complemented
761	#525	—	14	1	no	—
762	C₂×#123	—	14	1	no	—
763	#520	—	7	1	no	—
764	#520	C₂×D₇	1	1	yes	characteristic, complemented
765	#519	C₂×D₇	1	1	yes	characteristic, complemented
766	#518	—	7	1	no	—
767	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
768	C₂×C₄×D₄	—	7	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
894	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
895	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
896	C₂²×D₇	—	2	1	no	—
897	C₂²×D₇	—	2	1	no	—
898	C₂²×D₇	—	2	1	no	—
899	C₂²×D₇	—	4	2	no	—
900	C₂²×D₇	—	4	2	no	—
901	C₂²×D₇	—	4	2	no	—
902	C₂²×D₇	—	8	1	no	—
903	C₂²×D₇	—	8	1	no	—
904	C₂²×D₇	—	8	1	no	—
905	C₇×Q₈	—	2	1	no	—
906	C₇×Q₈	—	2	1	no	—
907	C₇×Q₈	—	2	1	no	—
908	C₇×Q₈	—	2	1	no	—
909	C₇×Q₈	—	2	1	no	—
910	C₇×Q₈	—	4	1	no	—
911	C₇×Q₈	—	4	2	no	—
912	C₇×Q₈	—	4	2	no	—
913	C₇×Q₈	—	8	1	no	—
914	C₇×Q₈	C₂×#41	1	2	yes	—
915	C₇×D₄	—	2	2	no	—
916	C₇×D₄	—	2	2	no	—
917	C₇×D₄	—	2	1	no	—
918	C₇×D₄	—	2	1	no	—
919	C₇×D₄	—	4	1	no	—
920	C₇×D₄	—	4	2	no	—
921	C₇×D₄	—	4	2	no	—
922	C₇×D₄	—	8	1	no	—
923	C₂×C₄×C₇	—	2	2	no	—
924	C₂×C₄×C₇	—	2	1	no	—
925	C₂×C₄×C₇	—	2	1	no	—
926	C₂×C₄×C₇	—	2	1	no	—
927	C₂×C₄×C₇	—	2	1	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	—	4	1	no	—
938	C₂×C₄×C₇	—	4	2	no	—
939	C₂×C₄×C₇	—	4	2	no	—
940	C₂×C₄×C₇	—	4	2	no	—
941	C₂×C₄×C₇	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
946	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
957	C₂²⋊D₇	—	4	2	no	—
958	C₂²⋊D₇	—	4	2	no	—
959	C₂²⋊D₇	—	8	1	no	—
960	C₂²⋊D₇	—	8	1	no	—
961	C₂²⋊D₇	—	8	1	no	—
962	C₂×Dic₇	—	2	1	no	—
963	C₂×Dic₇	—	2	1	no	—
964	C₂×Dic₇	—	2	1	no	—
965	C₂×Dic₇	—	2	1	no	—
966	C₂×Dic₇	—	2	1	no	—
967	C₂×Dic₇	—	4	2	no	—
968	C₂×Dic₇	—	8	1	no	—
969	D₂₈	—	2	1	no	—
970	D₂₈	—	2	1	no	—
971	D₂₈	—	2	1	no	—
972	D₂₈	—	2	1	no	—
973	D₂₈	—	2	1	no	—
974	D₂₈	—	4	2	no	—
975	D₂₈	—	4	2	no	—
976	D₂₈	—	8	1	no	—
977	D₂₈	—	8	1	no	—
978	D₂₈	C₂×#41	1	2	yes	—
979	C₄×D₇	—	4	2	no	—
980	C₄×D₇	—	8	1	no	—
981	C₄×D₇	—	8	1	no	—
982	C₄×D₇	—	8	1	no	—
983	C₄×D₇	—	8	1	no	—
984	C₄×D₇	—	8	1	no	—
985	C₄×D₇	—	8	1	no	—
986	C₄×D₇	—	8	1	no	—
987	C₄×D₇	—	8	1	no	—
988	Dic₁₄	—	2	1	no	—
989	Dic₁₄	—	2	1	no	—
990	Dic₁₄	—	8	1	no	—
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	—	7	1	no	—
1000	C₂×#41	—	14	1	no	—
1001	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1002	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1003	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1004	C₂²×D₄	—	7	1	no	—
1005	C₂²×D₄	—	7	1	no	—
1006	C₂²×D₄	—	14	1	no	—
1007	C₂³×C₄	—	14	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	—	2	1	no	—
1034	C₄⋊Q₈	—	2	1	no	—
1035	C₄⋊Q₈	—	7	1	no	—
1036	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1037	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1038	#127	—	7	1	no	—
1039	#126	—	2	1	no	—
1040	#126	—	2	1	no	—
1041	#126	—	2	1	no	—
1042	#126	—	2	1	no	—
1043	#126	—	2	1	no	—
1044	#126	—	2	1	no	—
1045	#126	—	2	1	no	—
1046	#126	—	2	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	—	2	1	no	—
1055	#125	—	2	1	no	—
1056	#125	—	2	1	no	—
1057	#125	—	2	1	no	—
1058	#125	—	2	1	no	—
1059	#125	—	7	1	no	—
1060	#125	—	7	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	—	2	1	no	—
1068	#124	—	7	1	no	—
1069	#124	—	7	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	—	14	1	no	—
1080	#123	—	14	1	no	—
1081	#123	—	14	1	no	—
1082	#123	—	14	1	no	—
1083	#123	—	14	1	no	—
1084	#123	—	14	1	no	—
1085	#123	—	14	1	no	—
1086	#123	—	14	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	—	2	1	no	—
1099	C₂²⋊Q₈	—	2	1	no	—
1100	C₂²⋊Q₈	—	2	1	no	—
1101	C₂²⋊Q₈	—	7	1	no	—
1102	C₂²⋊Q₈	—	7	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	C₂²⋊D₇	1	1	yes	characteristic
1109	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1117	#121	—	7	1	no	—
1118	#121	—	7	1	no	—
1119	#121	—	7	1	no	—
1120	#121	—	14	1	no	—
1121	#121	—	14	1	no	—
1122	#121	—	14	1	no	—
1123	#121	—	14	1	no	—
1124	#121	—	14	1	no	—
1125	#121	—	14	1	no	—
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	—	14	1	no	—
1130	#120	—	14	1	no	—
1131	#120	—	14	1	no	—
1132	#120	—	14	1	no	—
1133	C₄×Q₈	—	2	1	no	—
1134	C₄×Q₈	—	2	1	no	—
1135	C₄×Q₈	—	2	1	no	—
1136	C₄×Q₈	—	2	1	no	—
1137	C₄×Q₈	—	2	1	no	—
1138	C₄×Q₈	—	7	1	no	—
1139	C₄×Q₈	—	7	1	no	—
1140	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1141	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1142	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1143	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1144	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1145	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1158	C₄×D₄	—	7	1	no	—
1159	C₄×D₄	—	7	1	no	—
1160	C₄×D₄	—	7	1	no	—
1161	C₄×D₄	—	7	1	no	—
1162	C₄×D₄	—	7	1	no	—
1163	C₄×D₄	—	7	1	no	—
1164	C₄×D₄	—	7	1	no	—
1165	C₄×D₄	—	14	1	no	—
1166	C₄×D₄	—	14	1	no	—
1167	C₄×D₄	—	14	1	no	—
1168	C₄×D₄	—	14	1	no	—
1169	C₄×D₄	—	14	1	no	—
1170	C₄×D₄	—	14	1	no	—
1171	C₄×D₄	—	14	1	no	—
1172	C₄×D₄	—	14	1	no	—
1173	C₄×D₄	—	14	1	no	—
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	—	2	1	no	—
1183	#117	—	2	1	no	—
1184	#117	—	2	1	no	—
1185	#117	—	7	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	—	14	1	no	—
1201	C₂×C₂²⋊C₄	—	14	1	no	—
1202	C₂×C₂²⋊C₄	—	14	1	no	—
1203	C₂×C₂²⋊C₄	—	14	1	no	—
1204	C₂×C₂²⋊C₄	—	14	1	no	—
1205	C₂×C₄²	—	2	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	1	no	—
1284	C₂²×C₇	—	2	1	no	—
1285	C₂²×C₇	—	4	1	no	—
1286	C₂²×C₇	—	4	1	no	—
1287	C₂²×C₇	—	4	1	no	—
1288	C₂²×C₇	#577	1	2	yes	—
1289	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1290	C₂×D₇	—	2	2	no	—
1291	C₂×D₇	—	4	1	no	—
1292	C₂×D₇	—	4	1	no	—
1293	C₂×D₇	—	4	1	no	—
1294	C₂×D₇	—	4	1	no	—
1295	C₂×D₇	—	4	1	no	—
1296	C₂×D₇	—	4	1	no	—
1297	C₂×D₇	—	4	1	no	—
1298	C₂×D₇	—	4	1	no	—
1299	C₂×D₇	—	8	4	no	—
1300	C₂×D₇	—	16	2	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	2	no	—
1309	C₄×C₇	—	2	1	no	—
1310	C₄×C₇	—	2	1	no	—
1311	C₄×C₇	—	2	1	no	—
1312	C₄×C₇	—	2	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	—	4	1	no	—
1318	C₄×C₇	—	4	1	no	—
1319	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1320	C₄×C₇	#585	1	1	yes	characteristic
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	—	14	1	no	—
1327	C₂⁴	—	14	1	no	—
1328	#41	—	2	2	no	—
1329	#41	—	4	1	no	—
1330	#41	—	14	2	no	—
1331	#41	—	28	1	no	—
1332	#41	—	56	2	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	—	2	1	no	—
1335	C₂×Q₈	—	2	1	no	—
1336	C₂×Q₈	—	2	2	no	—
1337	C₂×Q₈	—	2	2	no	—
1338	C₂×Q₈	—	4	1	no	—
1339	C₂×Q₈	—	4	1	no	—
1340	C₂×Q₈	—	7	1	no	—
1341	C₂×Q₈	—	14	1	no	—
1342	C₂×Q₈	C₂×C₂²⋊D₇	1	1	yes	characteristic
1343	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1344	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1345	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	7	1	no	—
1350	C₂×D₄	—	7	1	no	—
1351	C₂×D₄	—	7	1	no	—
1352	C₂×D₄	—	14	2	no	—
1353	C₂×D₄	—	14	2	no	—
1354	C₂×D₄	—	14	1	no	—
1355	C₂×D₄	—	14	1	no	—
1356	C₂×D₄	—	14	1	no	—
1357	C₂×D₄	—	14	1	no	—
1358	C₂×D₄	—	14	1	no	—
1359	C₂×D₄	—	14	1	no	—
1360	C₂×D₄	—	14	1	no	—
1361	C₂×D₄	—	14	1	no	—
1362	C₂×D₄	—	14	1	no	—
1363	C₂×D₄	—	28	1	no	—
1364	C₂×D₄	—	28	1	no	—
1365	C₂×D₄	—	56	2	no	—
1366	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1367	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1368	C₂×D₄	C₂×C₂²⋊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	—	14	1	no	—
1378	C₂²×C₄	—	14	1	no	—
1379	C₂²×C₄	—	14	1	no	—
1380	C₂²×C₄	—	14	1	no	—
1381	C₂²×C₄	—	14	1	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	—	56	2	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	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	7	1	no	—
1446	C₄⋊C₄	—	7	1	no	—
1447	C₄⋊C₄	—	7	1	no	—
1448	C₄⋊C₄	—	7	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	—	14	1	no	—
1488	C₂²⋊C₄	—	14	1	no	—
1489	C₂²⋊C₄	—	14	1	no	—
1490	C₂²⋊C₄	—	14	1	no	—
1491	C₂²⋊C₄	—	14	1	no	—
1492	C₂²⋊C₄	—	14	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	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	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	—	8	1	no	—
1538	C₂×C₇	D₄×#41	1	1	yes	characteristic
1539	C₂×C₇	C₂×#577	1	1	yes	characteristic
1540	C₂×C₇	#3584	1	1	yes	characteristic
1541	D₇	—	4	2	no	—
1542	D₇	—	8	1	no	—
1543	D₇	—	8	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	14	1	no	—
1546	C₂³	—	14	1	no	—
1547	C₂³	—	14	1	no	—
1548	C₂³	—	28	2	no	—
1549	C₂³	—	28	2	no	—
1550	C₂³	—	28	2	no	—
1551	C₂³	—	56	1	no	—
1552	C₂³	—	56	1	no	—
1553	C₂³	—	56	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	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	4	1	no	—
1563	Q₈	—	4	2	no	—
1564	Q₈	—	4	2	no	—
1565	Q₈	—	8	1	no	—
1566	Q₈	—	14	1	no	—
1567	Q₈	—	14	1	no	—
1568	Q₈	—	56	1	no	—
1569	Q₈	D₇×#41	1	2	yes	—
1570	D₄	—	2	2	no	—
1571	D₄	—	2	2	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	4	1	no	—
1575	D₄	—	4	2	no	—
1576	D₄	—	4	2	no	—
1577	D₄	—	7	2	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	14	1	no	—
1580	D₄	—	14	1	no	—
1581	D₄	—	14	1	no	—
1582	D₄	—	14	1	no	—
1583	D₄	—	14	1	no	—
1584	D₄	—	28	2	no	—
1585	D₄	—	28	2	no	—
1586	D₄	—	28	2	no	—
1587	D₄	—	28	2	no	—
1588	D₄	—	56	1	no	—
1589	D₄	—	56	1	no	—
1590	D₄	—	56	1	no	—
1591	D₄	—	56	1	no	—
1592	D₄	—	56	1	no	—
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	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	4	1	no	—
1608	C₂×C₄	—	4	2	no	—
1609	C₂×C₄	—	4	2	no	—
1610	C₂×C₄	—	4	2	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	—	14	1	no	—
1616	C₂×C₄	—	14	1	no	—
1617	C₂×C₄	—	14	1	no	—
1618	C₂×C₄	—	14	1	no	—
1619	C₂×C₄	—	14	1	no	—
1620	C₂×C₄	—	28	2	no	—
1621	C₂×C₄	—	28	2	no	—
1622	C₂×C₄	—	56	1	no	—
1623	C₂×C₄	—	56	1	no	—
1624	C₂×C₄	—	56	1	no	—
1625	C₂×C₄	—	56	1	no	—
1626	C₂×C₄	—	56	1	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	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	14	2	no	—
1664	C₂²	—	28	1	no	—
1665	C₂²	—	28	1	no	—
1666	C₂²	—	28	1	no	—
1667	C₂²	—	28	1	no	—
1668	C₂²	—	28	1	no	—
1669	C₂²	—	28	1	no	—
1670	C₂²	—	28	1	no	—
1671	C₂²	—	28	1	no	—
1672	C₂²	—	56	4	no	—
1673	C₂²	—	112	2	no	—
1674	C₂²	#90528	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	2	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	—	2	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	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	—	8	1	no	—
1705	C₂	—	28	2	no	—
1706	C₂	—	56	1	no	—
1707	C₂	—	56	1	no	—
1708	C₂	#41×C₂²⋊D₇	1	1	yes	characteristic
1709	C₂	C₂×#90528	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×#3516	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#3516	D₇
hypocenter	C₇	#61472
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3516

Complements

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

N	H ≅ G/N	type
1. C₇×#3516	C₂	semidirect
2. #11743229	C₂	semidirect
3. #11741138	C₂	semidirect
4. #11741136	C₂	semidirect
5. #11741124	C₂	semidirect
6. #11741114	C₂	semidirect
7. #11741080	C₂	semidirect
8. #11741067	C₂	semidirect
9. #11741061	C₂	semidirect
10. #11741051	C₂	semidirect
11. #11741046	C₂	semidirect
12. #11741036	C₂	semidirect
13. D₄×#1143	C₂	semidirect
14. #11740997	C₂	semidirect
15. #11740990	C₂	semidirect
16. #11740990	C₂	semidirect
17. #11740985	C₂	semidirect
18. #11740981	C₂	semidirect
19. #11740905	C₂	semidirect
20. #11740901	C₂	semidirect
21. #11740891	C₂	semidirect
22. #11740888	C₂	semidirect
23. #11740588	C₂	semidirect
24. #11740579	C₂	semidirect
25. #11740571	C₂	semidirect
26. #11740013	C₂	semidirect
27. #11740003	C₂	semidirect
28. #11739997	C₂	semidirect
29. #11739993	C₂	semidirect
30. #11739890	C₂	semidirect
31. C₂×C₄×#1143	C₂	semidirect
32. C₇×#557	C₂²	semidirect
34. C₇×#556	C₂²	semidirect
36. C₇×#554	C₂²	semidirect
40. C₇×#552	C₂²	semidirect
42. C₇×#548	C₂²	semidirect
43. C₇×#548	C₂²	semidirect
45. C₇×#542	C₂²	semidirect
47. C₇×#541	C₂²	semidirect
51. C₇×#529	C₂²	semidirect
52. C₇×#520	C₂²	semidirect
53. C₇×#519	C₂²	semidirect
54. C₂×C₄×C₇×Q₈	C₂²	semidirect
80. #90010	C₂²	semidirect
81. #90010	C₂²	semidirect
82. #90004	C₂²	semidirect
83. #90000	C₂²	semidirect
84. #90000	C₂²	semidirect
87. #89997	C₂²	semidirect
88. C₂×#6409	C₂²	semidirect
89. #89862	C₂²	semidirect
90. #89861	C₂²	semidirect
93. #89856	C₂²	semidirect
95. #89854	C₂²	semidirect
96. #89851	C₂²	semidirect
97. #89840	C₂²	semidirect
101. #89838	C₂²	semidirect
102. #89836	C₂²	semidirect
103. #89836	C₂²	semidirect
104. #89835	C₂²	semidirect
105. #89831	C₂²	semidirect
106. #89831	C₂²	semidirect
109. #89829	C₂²	semidirect
110. #89829	C₂²	semidirect
111. #89828	C₂²	semidirect
112. #89827	C₂²	semidirect
113. #89824	C₂²	semidirect
114. #89823	C₂²	semidirect
115. #89821	C₂²	semidirect
116. #89821	C₂²	semidirect
119. #89820	C₂²	semidirect
120. #89820	C₂²	semidirect
125. #89817	C₂²	semidirect
126. #89816	C₂²	semidirect
127. #89815	C₂²	semidirect
128. #89815	C₂²	semidirect
129. #89813	C₂²	semidirect
130. #89813	C₂²	semidirect
135. #89807	C₂²	semidirect
136. #89805	C₂²	semidirect
137. #89802	C₂²	semidirect
138. #89802	C₂²	semidirect
139. #89802	C₂²	semidirect
140. C₄×#1144	C₂²	semidirect
141. #89800	C₂²	semidirect
142. #89800	C₂²	semidirect
143. #89800	C₂²	semidirect
144. #89800	C₂²	semidirect
148. #89798	C₂²	semidirect
149. #89798	C₂²	semidirect
150. #89798	C₂²	semidirect
151. #89798	C₂²	semidirect
158. C₄×#1143	C₂²	semidirect
159. C₄×#1143	C₂²	semidirect
160. C₄×#1143	C₂²	semidirect
161. C₄×#1143	C₂²	semidirect
162. C₄×#1143	C₂²	semidirect
163. C₄×#1143	C₂²	semidirect
164. #89796	C₂²	semidirect
165. Q₈×C₇⋊C₈	C₂²	semidirect
166. #89794	C₂²	semidirect
167. #89794	C₂²	semidirect
168. #89794	C₂²	semidirect
169. #89793	C₂²	semidirect
170. #89792	C₂²	semidirect
171. C₄×#1142	C₂²	semidirect
172. C₄×#1142	C₂²	semidirect
176. #89786	C₂²	semidirect
177. C₄×#1141	C₂²	semidirect
178. #89784	C₂²	semidirect
180. #89783	C₂²	semidirect
182. D₄×C₇⋊C₈	C₂²	semidirect
183. D₄×C₇⋊C₈	C₂²	semidirect
184. #89781	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. #89742	C₂²	semidirect
195. #89740	C₂²	semidirect
196. #89739	C₂²	semidirect
199. C₂×#6382	C₂²	semidirect
200. C₂×#6382	C₂²	semidirect
201. #89698	C₂²	semidirect
202. C₂×C₄×C₇⋊C₈	C₂²	semidirect
482. #3516	D₇	semidirect
668. #1143	#41	semidirect
725. #557	C₂×D₇	semidirect
727. #556	C₂×D₇	semidirect
730. #554	C₂×D₇	semidirect
737. #552	C₂×D₇	semidirect
741. #548	C₂×D₇	semidirect
742. #548	C₂×D₇	semidirect
750. #542	C₂×D₇	semidirect
752. #541	C₂×D₇	semidirect
760. #529	C₂×D₇	semidirect
764. #520	C₂×D₇	semidirect
765. #519	C₂×D₇	semidirect
767. C₂×C₄×Q₈	C₂×D₇	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×#3516	2
#11743229	2
#11741138	2
#11741136	2
#11741124	2
#11741114	2
#11741080	2
#11741067	2
#11741061	2
#11741051	2
#11741046	2
#11741036	2
D₄×#1143	2
#11740997	2
#11740990	2
#11740985	2
#11740981	2
#11740905	2
#11740901	2
#11740891	2
#11740888	2
#11740588	2
#11740579	2
#11740571	2
#11740013	2
#11740003	2
#11739997	2
#11739993	2
#11739890	2
C₂×C₄×#1143	2
#61472	7