Subgroups — #14250887

Order 1792.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3521	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743243	C₂	1	1	yes	maximal, characteristic, complemented
3	#11741114	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741113	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741106	C₂	1	1	yes	maximal, characteristic, complemented
6	#11741103	C₂	1	1	yes	maximal, characteristic, complemented
7	#11741078	C₂	1	1	yes	maximal, characteristic, complemented
8	#11741075	C₂	1	1	yes	maximal, characteristic, complemented
9	#11741055	C₂	1	1	yes	maximal, characteristic, complemented
10	#11741052	C₂	1	1	yes	maximal, characteristic, complemented
11	#11741039	C₂	1	1	yes	maximal, characteristic, complemented
12	#11741037	C₂	1	1	yes	maximal, characteristic, complemented
13	#11740957	C₂	1	1	yes	maximal, characteristic, complemented
14	#11740956	C₂	1	1	yes	maximal, characteristic, complemented
15	#11740944	C₂	1	1	yes	maximal, characteristic, complemented
16	#11740944	C₂	1	1	yes	maximal, characteristic, complemented
17	#11740941	C₂	1	1	yes	maximal, characteristic, complemented
18	#11740940	C₂	1	1	yes	maximal, characteristic, complemented
19	#11740910	C₂	1	1	yes	maximal, characteristic, complemented
20	#11740900	C₂	1	1	yes	maximal, characteristic, complemented
21	#11740895	C₂	1	1	yes	maximal, characteristic, complemented
22	#11740887	C₂	1	1	yes	maximal, characteristic, complemented
23	#11740593	C₂	1	1	yes	maximal, characteristic, complemented
24	#11740575	C₂	1	1	yes	maximal, characteristic, complemented
25	#11740570	C₂	1	1	yes	maximal, characteristic, complemented
26	#11740013	C₂	1	1	yes	maximal, characteristic, complemented
27	#11740004	C₂	1	1	yes	maximal, characteristic, complemented
28	#11739987	C₂	1	1	yes	maximal, characteristic, complemented
29	#11739984	C₂	1	1	yes	maximal, characteristic, complemented
30	#11739976	C₂	1	1	yes	maximal, characteristic, complemented
31	#11739952	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#556	C₂²	1	1	yes	characteristic
33	C₇×#556	C₂²	1	1	yes	characteristic
34	C₇×#554	C₂²	1	1	yes	characteristic
35	C₇×#553	—	2	1	no	—
36	C₇×#553	C₂²	1	1	yes	characteristic
37	C₇×#552	—	2	1	no	—
38	C₇×#552	C₂²	1	1	yes	characteristic
39	C₇×#551	—	2	1	no	—
40	C₇×#551	—	2	1	no	—
41	C₇×#547	C₂²	1	1	yes	characteristic
42	C₇×#546	C₂²	1	1	yes	characteristic
43	C₇×#546	C₂²	1	1	yes	characteristic
44	C₇×#542	C₂²	1	1	yes	characteristic
45	C₇×#541	C₂²	1	1	yes	characteristic
46	C₇×#539	—	2	1	no	—
47	C₇×#538	—	2	1	no	—
48	C₇×#529	—	2	1	no	—
49	C₇×#529	C₂²	1	1	yes	characteristic
50	C₇×#529	C₂²	1	1	yes	characteristic
51	C₂×C₇×#126	—	2	1	no	—
52	C₇×#520	C₂²	1	1	yes	characteristic
53	C₇×#518	C₂²	1	1	yes	characteristic
54	C₄×C₇×#41	C₂²	1	1	yes	characteristic
55	#90401	—	2	1	no	—
56	#90401	—	2	1	no	—
57	#90385	—	2	1	no	—
58	#90368	—	2	1	no	—
59	#90358	—	2	1	no	—
60	#90358	—	2	1	no	—
61	#90319	—	2	1	no	—
62	#90299	—	2	1	no	—
63	#90270	C₂²	1	1	yes	characteristic, complemented
64	Q₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
65	#90256	C₂²	1	1	yes	characteristic
66	#90256	C₂²	1	1	yes	characteristic, complemented
67	#90254	C₂²	1	1	yes	characteristic
68	#90254	C₂²	1	1	yes	characteristic
69	#90254	C₂²	1	1	yes	characteristic, complemented
70	#90246	C₂²	1	1	yes	characteristic
71	#90226	C₂²	1	1	yes	characteristic
72	#90226	C₂²	1	1	yes	characteristic, complemented
73	#90210	C₂²	1	1	yes	characteristic
74	#90210	C₂²	1	1	yes	characteristic, complemented
75	#90168	C₂²	1	1	yes	characteristic, complemented
76	#90161	C₂²	1	1	yes	characteristic, complemented
77	#90010	C₂²	1	1	yes	characteristic
78	#90010	C₂²	1	1	yes	characteristic
79	#90010	C₂²	1	1	yes	characteristic
80	#90010	C₂²	1	1	yes	characteristic
81	#90005	C₂²	1	1	yes	characteristic
82	#90005	C₂²	1	1	yes	characteristic
83	#90005	C₂²	1	1	yes	characteristic
84	#90004	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	#89859	C₂²	1	1	yes	characteristic, complemented
90	#89856	C₂²	1	1	yes	characteristic, complemented
91	#89855	C₂²	1	1	yes	characteristic, complemented
92	#89855	C₂²	1	1	yes	characteristic, complemented
93	#89854	C₂²	1	1	yes	characteristic, complemented
94	#89853	C₂²	1	1	yes	characteristic, complemented
95	#89852	C₂²	1	1	yes	characteristic, complemented
96	#89851	C₂²	1	1	yes	characteristic, complemented
97	#89838	C₂²	1	1	yes	characteristic, complemented
98	#89838	C₂²	1	1	yes	characteristic, complemented
99	#89838	C₂²	1	1	yes	characteristic, complemented
100	#89838	C₂²	1	1	yes	characteristic, complemented
101	#89837	C₂²	1	1	yes	characteristic, complemented
102	#89837	C₂²	1	1	yes	characteristic, complemented
103	#89837	C₂²	1	1	yes	characteristic, complemented
104	#89836	C₂²	1	1	yes	characteristic, complemented
105	#89829	C₂²	1	1	yes	characteristic
106	#89829	C₂²	1	1	yes	characteristic
107	#89829	C₂²	1	1	yes	characteristic
108	#89829	C₂²	1	1	yes	characteristic
109	#89828	C₂²	1	1	yes	characteristic
110	#89827	C₂²	1	1	yes	characteristic
111	#89827	C₂²	1	1	yes	characteristic
112	#89827	C₂²	1	1	yes	characteristic
113	#89821	C₂²	1	1	yes	characteristic
114	#89821	C₂²	1	1	yes	characteristic
115	#89821	C₂²	1	1	yes	characteristic, complemented
116	#89820	C₂²	1	1	yes	characteristic
117	#89820	C₂²	1	1	yes	characteristic
118	#89820	C₂²	1	1	yes	characteristic, complemented
119	#89820	C₂²	1	1	yes	characteristic, complemented
120	#89820	C₂²	1	1	yes	characteristic, complemented
121	#89817	C₂²	1	1	yes	characteristic
122	#89817	C₂²	1	1	yes	characteristic
123	#89817	C₂²	1	1	yes	characteristic, complemented
124	#89817	C₂²	1	1	yes	characteristic, complemented
125	#89817	C₂²	1	1	yes	characteristic, complemented
126	#89816	C₂²	1	1	yes	characteristic
127	#89815	C₂²	1	1	yes	characteristic
128	#89815	C₂²	1	1	yes	characteristic, complemented
129	#89811	C₂²	1	1	yes	characteristic
130	#89810	C₂²	1	1	yes	characteristic
131	#89810	C₂²	1	1	yes	characteristic
132	#89810	C₂²	1	1	yes	characteristic
133	#89807	C₂²	1	1	yes	characteristic
134	#89807	C₂²	1	1	yes	characteristic
135	#89807	C₂²	1	1	yes	characteristic
136	#89806	C₂²	1	1	yes	characteristic
137	#89799	C₂²	1	1	yes	characteristic, complemented
138	#89799	C₂²	1	1	yes	characteristic, complemented
139	#89798	C₂²	1	1	yes	characteristic, complemented
140	#89798	C₂²	1	1	yes	characteristic, complemented
141	#89798	C₂²	1	1	yes	characteristic, complemented
142	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
143	#89796	C₂²	1	1	yes	characteristic, complemented
144	#89796	C₂²	1	1	yes	characteristic, complemented
145	#89794	C₂²	1	1	yes	characteristic, complemented
146	#89794	C₂²	1	1	yes	characteristic, complemented
147	#89794	C₂²	1	1	yes	characteristic, complemented
148	#89794	C₂²	1	1	yes	characteristic, complemented
149	#89794	C₂²	1	1	yes	characteristic, complemented
150	#89793	C₂²	1	1	yes	characteristic, complemented
151	#89793	C₂²	1	1	yes	characteristic, complemented
152	#89793	C₂²	1	1	yes	characteristic, complemented
153	#89792	C₂²	1	1	yes	characteristic, complemented
154	#89792	C₂²	1	1	yes	characteristic, complemented
155	#89787	C₂²	1	1	yes	characteristic
156	#89787	C₂²	1	1	yes	characteristic
157	#89786	C₂²	1	1	yes	characteristic
158	#89786	C₂²	1	1	yes	characteristic
159	#89786	C₂²	1	1	yes	characteristic
160	#89786	C₂²	1	1	yes	characteristic
161	#89786	C₂²	1	1	yes	characteristic
162	C₄×#1141	C₂²	1	1	yes	characteristic
163	C₄×#1141	C₂²	1	1	yes	characteristic
164	C₄×#1141	C₂²	1	1	yes	characteristic
165	#89783	C₂²	1	1	yes	characteristic
166	#89783	C₂²	1	1	yes	characteristic
167	#89783	C₂²	1	1	yes	characteristic
168	#89783	C₂²	1	1	yes	characteristic, complemented
169	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
170	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
171	#89781	C₂²	1	1	yes	characteristic
172	#89781	C₂²	1	1	yes	characteristic
173	#89781	C₂²	1	1	yes	characteristic
174	#89781	C₂²	1	1	yes	characteristic
175	#89781	C₂²	1	1	yes	characteristic
176	#89781	C₂²	1	1	yes	characteristic
177	#89781	C₂²	1	1	yes	characteristic
178	#89780	C₂²	1	1	yes	characteristic
179	#89780	C₂²	1	1	yes	characteristic
180	#89780	C₂²	1	1	yes	characteristic
181	#89779	C₂²	1	1	yes	characteristic
182	#89779	C₂²	1	1	yes	characteristic
183	#89779	C₂²	1	1	yes	characteristic
184	#89779	C₂²	1	1	yes	characteristic
185	#89775	C₂²	1	1	yes	characteristic
186	#89775	C₂²	1	1	yes	characteristic
187	#89775	C₂²	1	1	yes	characteristic, complemented
188	#89775	C₂²	1	1	yes	characteristic, complemented
189	#89772	C₂²	1	1	yes	characteristic
190	#89772	C₂²	1	1	yes	characteristic, complemented
191	#89771	C₂²	1	1	yes	characteristic
192	#89771	C₂²	1	1	yes	characteristic, complemented
193	#89770	C₂²	1	1	yes	characteristic
194	#89770	C₂²	1	1	yes	characteristic, complemented
195	#89770	C₂²	1	1	yes	characteristic, complemented
196	#89767	C₂²	1	1	yes	characteristic
197	#89740	C₂²	1	1	yes	characteristic, complemented
198	#89739	C₂²	1	1	yes	characteristic, complemented
199	#89736	C₂²	1	1	yes	characteristic, complemented
200	C₂×#6381	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	#62171	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₇	—	2	1	no	—
208	C₂×#1159	—	2	1	no	—
209	C₂×#1157	—	2	1	no	—
210	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₇×#126	—	2	1	no	—
213	C₇×#126	—	2	1	no	—
214	C₇×#126	—	2	1	no	—
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	—	2	1	no	—
220	C₇×#126	—	2	1	no	—
221	C₇×#126	—	2	1	no	—
222	C₇×#126	D₄	1	1	yes	characteristic
223	C₇×#126	D₄	1	1	yes	characteristic
224	C₇×#125	—	2	1	no	—
225	C₇×#125	—	2	1	no	—
226	C₇×#125	—	2	1	no	—
227	C₇×#125	D₄	1	1	yes	characteristic
228	C₇×#125	C₂³	1	1	yes	characteristic
229	C₇×#125	C₂³	1	1	yes	characteristic
230	C₇×#124	—	2	1	no	—
231	C₇×#124	—	2	1	no	—
232	C₇×#124	D₄	1	1	yes	characteristic
233	C₇×#124	C₂³	1	1	yes	characteristic
234	C₇×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
243	C₇×#123	D₄	1	1	yes	characteristic
244	C₇×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
250	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
251	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₇×#121	—	2	1	no	—
256	C₇×#121	—	2	1	no	—
257	C₇×#121	—	2	1	no	—
258	C₇×#121	—	2	1	no	—
259	C₇×#121	D₄	1	1	yes	characteristic
260	C₇×#121	C₂³	1	1	yes	characteristic
261	C₇×#121	C₂³	1	1	yes	characteristic
262	C₇×#120	—	2	1	no	—
263	C₇×#120	—	2	1	no	—
264	C₄×C₇×Q₈	—	2	1	no	—
265	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
266	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
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	C₇×#117	—	2	1	no	—
288	C₇×#117	—	2	1	no	—
289	C₇×#117	—	2	1	no	—
290	C₇×#117	—	2	1	no	—
291	C₇×#117	—	2	1	no	—
292	C₇×#117	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
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×C₄²×C₇	—	2	1	no	—
305	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
306	#6509	—	2	1	no	—
307	C₂×#1143	C₂³	1	1	yes	characteristic
308	C₂×#1143	C₂³	1	1	yes	characteristic
309	C₂×#1143	C₂³	1	1	yes	characteristic
310	C₂×#1143	C₂³	1	1	yes	characteristic
311	#6502	—	2	1	no	—
312	#6502	—	2	1	no	—
313	#6501	—	2	1	no	—
314	#6501	—	2	1	no	—
315	#6501	—	2	1	no	—
316	C₂×#1141	C₂³	1	1	yes	characteristic
317	C₂×#1141	C₂³	1	1	yes	characteristic
318	C₂×#1141	C₂³	1	1	yes	characteristic
319	C₂×#1141	C₂³	1	1	yes	characteristic
320	#6493	—	2	1	no	—
321	#6493	C₂³	1	1	yes	characteristic
322	#6493	C₂³	1	1	yes	characteristic
323	#6493	C₂³	1	1	yes	characteristic
324	#6493	C₂³	1	1	yes	characteristic
325	#6493	C₂³	1	1	yes	characteristic
326	#6493	C₂³	1	1	yes	characteristic
327	#6489	C₂³	1	1	yes	characteristic
328	#6489	C₂³	1	1	yes	characteristic
329	#6489	C₂³	1	1	yes	characteristic
330	#6489	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
333	#6487	—	2	1	no	—
334	#6487	—	2	1	no	—
335	C₂×#1136	C₂³	1	1	yes	characteristic
336	C₂×#1136	C₂³	1	1	yes	characteristic
337	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
338	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
339	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
340	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
341	#6461	—	2	1	no	—
342	#6461	—	2	1	no	—
343	#6460	—	2	1	no	—
344	#6460	—	2	1	no	—
345	#6460	—	2	1	no	—
346	#6460	—	2	1	no	—
347	#6459	—	2	1	no	—
348	#6459	—	2	1	no	—
349	#6457	—	2	1	no	—
350	#6457	—	2	1	no	—
351	#6457	—	2	1	no	—
352	#6457	—	2	1	no	—
353	#6455	—	2	1	no	—
354	#6455	—	2	1	no	—
355	#6455	—	2	1	no	—
356	D₇×C₄⋊C₄	—	2	1	no	—
357	#6453	—	2	1	no	—
358	#6453	—	2	1	no	—
359	#6451	—	2	1	no	—
360	#6451	—	2	1	no	—
361	#6449	—	2	1	no	—
362	#6449	—	2	1	no	—
363	#6448	—	2	1	no	—
364	#6448	—	2	1	no	—
365	#6448	—	2	1	no	—
366	#6448	—	2	1	no	—
367	#6448	—	2	1	no	—
368	#6448	—	2	1	no	—
369	#6447	—	2	1	no	—
370	#6447	—	2	1	no	—
371	#6447	—	2	1	no	—
372	#6447	—	2	1	no	—
373	#6446	—	2	1	no	—
374	#6446	—	2	1	no	—
375	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
376	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
377	#6441	—	2	1	no	—
378	#6441	—	2	1	no	—
379	#6441	—	2	1	no	—
380	#6441	—	2	1	no	—
381	#6438	—	2	1	no	—
382	#6437	C₂³	1	1	yes	characteristic
383	C₄×D₂₈	—	2	1	no	—
384	C₄×D₂₈	C₂³	1	1	yes	characteristic
385	C₄×D₂₈	C₂³	1	1	yes	characteristic
386	C₄×D₂₈	C₂³	1	1	yes	characteristic
387	C₄×D₂₈	C₂³	1	1	yes	characteristic
388	C₄×D₂₈	C₂³	1	1	yes	characteristic
389	C₄×D₂₈	C₂³	1	1	yes	characteristic
390	#6433	C₂³	1	1	yes	characteristic
391	#6433	C₂³	1	1	yes	characteristic
392	#6433	C₂³	1	1	yes	characteristic
393	#6433	C₂³	1	1	yes	characteristic
394	#6432	C₂³	1	1	yes	characteristic
395	#6432	C₂³	1	1	yes	characteristic
396	#6432	C₂³	1	1	yes	characteristic
397	#6432	C₂³	1	1	yes	characteristic
398	#6432	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₄	—	2	1	no	—
400	C₄×Dic₁₄	—	2	1	no	—
401	#6409	C₂³	1	1	yes	characteristic
402	#6409	C₂³	1	1	yes	characteristic
403	#6409	C₂³	1	1	yes	characteristic
404	#6409	C₂³	1	1	yes	characteristic
405	#6409	C₂³	1	1	yes	characteristic
406	#6409	C₂³	1	1	yes	characteristic
407	#6409	C₂³	1	1	yes	characteristic
408	#6409	C₂³	1	1	yes	characteristic
409	#6409	C₂³	1	1	yes	characteristic
410	#6409	C₂³	1	1	yes	characteristic
411	#6409	C₂³	1	1	yes	characteristic
412	#6409	C₂³	1	1	yes	characteristic
413	#6406	C₂³	1	1	yes	characteristic
414	#6406	C₂³	1	1	yes	characteristic
415	#6406	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	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
426	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
427	C₂²⋊(C₇⋊C₈)	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	#6383	C₂³	1	1	yes	characteristic
432	#6383	C₂³	1	1	yes	characteristic
433	#6383	C₂³	1	1	yes	characteristic
434	#6383	C₂³	1	1	yes	characteristic
435	#6383	C₂³	1	1	yes	characteristic
436	#6383	C₂³	1	1	yes	characteristic
437	#6383	C₂³	1	1	yes	characteristic
438	#6383	C₂³	1	1	yes	characteristic
439	#6382	C₂³	1	1	yes	characteristic
440	#6382	C₂³	1	1	yes	characteristic
441	#6382	C₂³	1	1	yes	characteristic
442	#6382	C₂³	1	1	yes	characteristic
443	#6382	C₂³	1	1	yes	characteristic
444	#6382	C₂³	1	1	yes	characteristic
445	#6382	C₂³	1	1	yes	characteristic
446	#6382	C₂³	1	1	yes	characteristic
447	#6382	C₂³	1	1	yes	characteristic
448	#6382	C₂³	1	1	yes	characteristic
449	#6382	C₂³	1	1	yes	characteristic
450	#6382	C₂³	1	1	yes	characteristic
451	#6381	C₂³	1	1	yes	characteristic
452	#6381	C₂³	1	1	yes	characteristic
453	#6381	C₂³	1	1	yes	characteristic
454	#6381	C₂³	1	1	yes	characteristic
455	#6381	C₂³	1	1	yes	characteristic
456	#6381	C₂³	1	1	yes	characteristic
457	#6381	C₂³	1	1	yes	characteristic
458	#6381	C₂³	1	1	yes	characteristic
459	#6381	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	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
464	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
465	C₄⋊(C₇⋊C₈)	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	C₄⋊(C₇⋊C₈)	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	#6377	C₂³	1	1	yes	characteristic
477	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	#3547	—	7	1	no	—
480	#3521	D₇	1	1	yes	characteristic, complemented
481	#3389	—	7	1	no	—
482	#3384	—	7	1	no	—
483	#3376	—	7	1	no	—
484	#3367	—	7	1	no	—
485	#3350	—	7	1	no	—
486	#3348	—	7	1	no	—
487	#3347	—	7	1	no	—
488	#3343	—	7	1	no	—
489	#3340	—	7	1	no	—
490	#3339	—	7	1	no	—
491	#3319	—	7	1	no	—
492	#3319	—	7	1	no	—
493	#3307	—	7	1	no	—
494	#3306	—	7	1	no	—
495	#3303	—	7	1	no	—
496	#3297	—	7	1	no	—
497	#3260	—	7	1	no	—
498	#3257	—	7	1	no	—
499	#3247	—	7	1	no	—
500	#3244	—	7	1	no	—
501	#3242	—	7	1	no	—
502	#3240	—	7	1	no	—
503	#3122	—	7	1	no	—
504	#3119	—	7	1	no	—
505	#3115	—	7	1	no	—
506	#3083	—	7	1	no	—
507	#3081	—	7	1	no	—
508	#3076	—	7	1	no	—
509	#2992	—	7	1	no	—
510	C₂⁴×C₇	—	2	1	no	—
511	C₇×#41	—	2	2	no	—
512	C₇×#41	—	2	2	no	—
513	C₇×#41	—	4	1	no	—
514	C₇×#41	—	4	1	no	—
515	C₂×C₇×Q₈	—	2	1	no	—
516	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
517	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₇×D₄	—	2	2	no	—
520	C₂×C₇×D₄	—	2	1	no	—
521	C₂×C₇×D₄	—	2	1	no	—
522	C₂×C₇×D₄	—	2	1	no	—
523	C₂×C₇×D₄	—	2	1	no	—
524	C₂×C₇×D₄	—	2	1	no	—
525	C₂×C₇×D₄	—	4	1	no	—
526	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
527	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
528	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
529	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
530	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₇	—	2	1	no	—
532	C₂²×C₄×C₇	—	2	1	no	—
533	C₂²×C₄×C₇	—	2	1	no	—
534	C₂²×C₄×C₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
545	C₂×C₂²⋊D₇	—	2	1	no	—
546	C₂×C₂²⋊D₇	—	2	1	no	—
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	C₂²×Dic₇	—	2	1	no	—
552	C₂²×Dic₇	—	2	1	no	—
553	Q₈×D₇	—	8	2	no	—
554	#1159	—	8	2	no	—
555	#1157	—	8	2	no	—
556	C₂×D₂₈	—	2	1	no	—
557	C₂×D₂₈	—	2	1	no	—
558	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
559	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
560	C₂×C₄×D₇	—	2	1	no	—
561	C₂×C₄×D₇	—	2	1	no	—
562	C₂×C₄×D₇	—	2	1	no	—
563	C₂×C₄×D₇	—	2	1	no	—
564	C₂×C₄×D₇	—	2	1	no	—
565	C₂×C₄×D₇	—	2	1	no	—
566	C₂×Dic₁₄	—	2	1	no	—
567	C₂×Dic₁₄	—	2	1	no	—
568	C₂×Dic₁₄	—	2	1	no	—
569	C₂×Dic₁₄	—	2	1	no	—
570	C₂×Dic₁₄	—	2	1	no	—
571	C₇×C₄⋊C₄	—	2	1	no	—
572	C₇×C₄⋊C₄	—	2	1	no	—
573	C₇×C₄⋊C₄	—	2	1	no	—
574	C₇×C₄⋊C₄	—	2	1	no	—
575	C₇×C₄⋊C₄	—	2	1	no	—
576	C₇×C₄⋊C₄	—	2	1	no	—
577	C₇×C₄⋊C₄	—	2	1	no	—
578	C₇×C₄⋊C₄	—	2	1	no	—
579	C₇×C₄⋊C₄	—	2	1	no	—
580	C₇×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
588	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
598	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₇×C₂²⋊C₄	—	2	1	no	—
602	C₇×C₂²⋊C₄	—	2	1	no	—
603	C₇×C₂²⋊C₄	—	2	1	no	—
604	C₇×C₂²⋊C₄	—	2	1	no	—
605	C₇×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
620	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₇	—	2	1	no	—
630	C₄²×C₇	—	2	1	no	—
631	C₄²×C₇	—	2	1	no	—
632	C₄²×C₇	—	2	1	no	—
633	C₄²×C₇	—	2	1	no	—
634	C₄²×C₇	—	2	1	no	—
635	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
636	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
637	C₄²×C₇	C₂⁴	1	1	yes	characteristic
638	C₄²×C₇	C₂⁴	1	1	yes	characteristic
639	C₄²×C₇	C₂⁴	1	1	yes	characteristic
640	C₄²×C₇	C₂⁴	1	1	yes	characteristic
641	C₂²⋊Dic₇	—	2	1	no	—
642	C₂²⋊Dic₇	—	2	1	no	—
643	C₂²⋊Dic₇	—	2	1	no	—
644	C₂²⋊Dic₇	—	2	1	no	—
645	#1143	—	4	1	no	—
646	#1143	—	4	1	no	—
647	#1143	—	4	1	no	—
648	#1143	—	4	1	no	—
649	#1141	—	2	2	no	—
650	#1141	—	2	2	no	—
651	#1141	—	4	1	no	—
652	#1141	—	4	1	no	—
653	(C₂×D₇)⋊C₄	—	2	1	no	—
654	(C₂×D₇)⋊C₄	—	2	1	no	—
655	(C₂×D₇)⋊C₄	—	2	1	no	—
656	(C₂×D₇)⋊C₄	—	2	1	no	—
657	(C₂×D₇)⋊C₄	—	2	1	no	—
658	(C₂×D₇)⋊C₄	—	2	1	no	—
659	(C₂×D₇)⋊C₄	—	2	1	no	—
660	(C₂×D₇)⋊C₄	—	2	1	no	—
661	(C₂×D₇)⋊C₄	—	2	1	no	—
662	(C₂×D₇)⋊C₄	—	2	1	no	—
663	(C₂×D₇)⋊C₄	—	2	1	no	—
664	(C₂×D₇)⋊C₄	—	2	1	no	—
665	C₄⋊Dic₇	—	2	1	no	—
666	C₄⋊Dic₇	—	2	1	no	—
667	C₄⋊Dic₇	—	2	1	no	—
668	C₄⋊Dic₇	—	2	1	no	—
669	C₄⋊Dic₇	—	2	1	no	—
670	C₄⋊Dic₇	—	2	1	no	—
671	C₄⋊Dic₇	—	2	1	no	—
672	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
673	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
674	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
675	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
676	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
677	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
678	Dic₇⋊C₄	—	2	1	no	—
679	Dic₇⋊C₄	—	2	1	no	—
680	Dic₇⋊C₄	—	2	1	no	—
681	Dic₇⋊C₄	—	2	1	no	—
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	C₄×Dic₇	—	2	1	no	—
687	C₄×Dic₇	—	2	1	no	—
688	C₄×Dic₇	—	2	1	no	—
689	C₄×Dic₇	—	2	1	no	—
690	#1136	—	4	1	no	—
691	#1136	—	4	1	no	—
692	C₂×C₇⋊C₈	—	4	1	no	—
693	C₂×C₇⋊C₈	—	4	1	no	—
694	C₂×C₇⋊C₈	—	4	1	no	—
695	C₂×C₇⋊C₈	—	4	1	no	—
696	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
697	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
698	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
699	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
700	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
701	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
702	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
703	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
704	#562	—	14	1	no	—
705	#562	—	14	1	no	—
706	#556	C₂×D₇	1	1	yes	characteristic
707	#556	C₂×D₇	1	1	yes	characteristic
708	#555	—	7	1	no	—
709	#555	—	7	1	no	—
710	#555	—	7	1	no	—
711	#554	—	7	1	no	—
712	#554	C₂×D₇	1	1	yes	characteristic
713	#553	—	2	1	no	—
714	#553	—	7	1	no	—
715	#553	—	7	1	no	—
716	#553	C₂×D₇	1	1	yes	characteristic
717	#552	—	2	1	no	—
718	#552	—	14	1	no	—
719	#552	C₂×D₇	1	1	yes	characteristic
720	#551	—	2	1	no	—
721	#551	—	2	1	no	—
722	D₄×Q₈	—	7	1	no	—
723	#548	—	14	1	no	—
724	#547	—	7	1	no	—
725	#547	C₂×D₇	1	1	yes	characteristic
726	#546	C₂×D₇	1	1	yes	characteristic
727	#546	C₂×D₇	1	1	yes	characteristic
728	#544	—	7	1	no	—
729	#544	—	7	1	no	—
730	#542	—	14	1	no	—
731	#542	—	14	1	no	—
732	#542	C₂×D₇	1	1	yes	characteristic
733	#541	C₂×D₇	1	1	yes	characteristic
734	#540	—	7	1	no	—
735	#540	—	7	1	no	—
736	#539	—	2	1	no	—
737	#538	—	2	1	no	—
738	#537	—	14	1	no	—
739	#536	—	14	1	no	—
740	#533	—	7	1	no	—
741	#532	—	7	1	no	—
742	#529	—	2	1	no	—
743	#529	C₂×D₇	1	1	yes	characteristic
744	#529	C₂×D₇	1	1	yes	characteristic
745	C₂×#126	—	2	1	no	—
746	#520	C₂×D₇	1	1	yes	characteristic
747	#518	C₂×D₇	1	1	yes	characteristic
748	C₄×#41	C₂×D₇	1	1	yes	characteristic
749	#501	—	7	1	no	—
750	#501	—	7	1	no	—
751	#501	—	7	1	no	—
752	#501	—	7	1	no	—
753	#499	—	7	1	no	—
754	#498	—	7	1	no	—
755	#491	—	7	1	no	—
756	#489	—	7	1	no	—
757	#489	—	7	1	no	—
758	#489	—	7	1	no	—
759	#488	—	7	1	no	—
760	#487	—	7	1	no	—
761	#485	—	7	1	no	—
762	#485	—	7	1	no	—
763	#485	—	7	1	no	—
764	#485	—	7	1	no	—
765	#485	—	7	1	no	—
766	#484	—	7	1	no	—
767	#483	—	7	1	no	—
768	#483	—	7	1	no	—
769	#482	—	7	1	no	—
770	#482	—	7	1	no	—
771	#482	—	7	1	no	—
772	#482	—	7	1	no	—
773	#482	—	7	1	no	—
774	#482	—	7	1	no	—
775	#482	—	7	1	no	—
776	#481	—	7	1	no	—
777	#481	—	7	1	no	—
778	#480	—	7	1	no	—
779	#479	—	7	1	no	—
780	#479	—	7	1	no	—
781	#479	—	7	1	no	—
782	#479	—	7	1	no	—
783	#479	—	7	1	no	—
784	#478	—	7	1	no	—
785	#478	—	7	1	no	—
786	#478	—	7	1	no	—
787	#478	—	7	1	no	—
788	#478	—	7	1	no	—
789	#478	—	7	1	no	—
790	#478	—	7	1	no	—
791	#478	—	7	1	no	—
792	#478	—	7	1	no	—
793	#478	—	7	1	no	—
794	#478	—	7	1	no	—
795	#477	—	7	1	no	—
796	#477	—	7	1	no	—
797	#477	—	7	1	no	—
798	#476	—	7	1	no	—
799	#476	—	7	1	no	—
800	#476	—	7	1	no	—
801	#476	—	7	1	no	—
802	#475	—	7	1	no	—
803	#475	—	7	1	no	—
804	#474	—	7	1	no	—
805	#474	—	7	1	no	—
806	#474	—	7	1	no	—
807	#474	—	7	1	no	—
808	#474	—	7	1	no	—
809	#469	—	7	1	no	—
810	#468	—	7	1	no	—
811	#468	—	7	1	no	—
812	#468	—	7	1	no	—
813	#466	—	7	1	no	—
814	#466	—	7	1	no	—
815	#466	—	7	1	no	—
816	#465	—	7	1	no	—
817	#465	—	7	1	no	—
818	#465	—	7	1	no	—
819	#465	—	7	1	no	—
820	#465	—	7	1	no	—
821	#463	—	7	1	no	—
822	#463	—	7	1	no	—
823	#463	—	7	1	no	—
824	#463	—	7	1	no	—
825	#461	—	7	1	no	—
826	#461	—	7	1	no	—
827	#460	—	7	1	no	—
828	#460	—	7	1	no	—
829	#459	—	7	1	no	—
830	#459	—	7	1	no	—
831	#449	—	7	1	no	—
832	#449	—	7	1	no	—
833	#449	—	7	1	no	—
834	#449	—	7	1	no	—
835	#447	—	7	1	no	—
836	#447	—	7	1	no	—
837	#446	—	7	1	no	—
838	#446	—	7	1	no	—
839	#442	—	7	1	no	—
840	#442	—	7	1	no	—
841	#442	—	7	1	no	—
842	#442	—	7	1	no	—
843	#442	—	7	1	no	—
844	#440	—	7	1	no	—
845	#440	—	7	1	no	—
846	#440	—	7	1	no	—
847	C₄×SD₁₆	—	7	1	no	—
848	C₄×D₈	—	7	1	no	—
849	C₄×D₈	—	7	1	no	—
850	C₄×D₈	—	7	1	no	—
851	#435	—	7	1	no	—
852	#435	—	7	1	no	—
853	#435	—	7	1	no	—
854	#435	—	7	1	no	—
855	C₈×D₄	—	7	1	no	—
856	C₈×D₄	—	7	1	no	—
857	#433	—	7	1	no	—
858	#433	—	7	1	no	—
859	#432	—	7	1	no	—
860	#428	—	7	1	no	—
861	#428	—	7	1	no	—
862	#427	—	7	1	no	—
863	#427	—	7	1	no	—
864	#427	—	7	1	no	—
865	C₂×#107	—	7	1	no	—
866	#424	—	7	1	no	—
867	#424	—	7	1	no	—
868	C₂×C₄⋊C₈	—	7	1	no	—
869	#418	—	7	1	no	—
870	#417	—	7	1	no	—
871	#416	—	7	1	no	—
872	#416	—	7	1	no	—
873	#416	—	7	1	no	—
874	C₂×#102	—	7	1	no	—
875	C₂³×C₇	—	2	1	no	—
876	C₂³×C₇	—	2	1	no	—
877	C₂³×C₇	—	4	2	no	—
878	C₂³×C₇	—	8	1	no	—
879	C₂³×C₇	—	8	1	no	—
880	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
881	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
882	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
883	C₂²×D₇	—	2	1	no	—
884	C₂²×D₇	—	2	1	no	—
885	C₇×Q₈	—	2	1	no	—
886	C₇×Q₈	—	2	1	no	—
887	C₇×Q₈	—	2	1	no	—
888	C₇×Q₈	—	2	1	no	—
889	C₇×Q₈	—	4	1	no	—
890	C₇×Q₈	—	8	1	no	—
891	C₇×D₄	—	2	1	no	—
892	C₇×D₄	—	2	1	no	—
893	C₇×D₄	—	2	1	no	—
894	C₇×D₄	—	4	1	no	—
895	C₇×D₄	—	4	1	no	—
896	C₇×D₄	—	4	1	no	—
897	C₇×D₄	—	4	2	no	—
898	C₇×D₄	—	4	2	no	—
899	C₇×D₄	—	4	2	no	—
900	C₇×D₄	—	8	1	no	—
901	C₇×D₄	—	8	1	no	—
902	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
903	C₂×C₄×C₇	—	2	1	no	—
904	C₂×C₄×C₇	—	2	1	no	—
905	C₂×C₄×C₇	—	2	1	no	—
906	C₂×C₄×C₇	—	2	1	no	—
907	C₂×C₄×C₇	—	2	1	no	—
908	C₂×C₄×C₇	—	2	1	no	—
909	C₂×C₄×C₇	—	2	1	no	—
910	C₂×C₄×C₇	—	2	1	no	—
911	C₂×C₄×C₇	—	2	1	no	—
912	C₂×C₄×C₇	—	2	1	no	—
913	C₂×C₄×C₇	—	2	1	no	—
914	C₂×C₄×C₇	—	2	1	no	—
915	C₂×C₄×C₇	—	4	1	no	—
916	C₂×C₄×C₇	—	4	1	no	—
917	C₂×C₄×C₇	—	4	2	no	—
918	C₂×C₄×C₇	—	4	2	no	—
919	C₂×C₄×C₇	—	8	1	no	—
920	C₂×C₄×C₇	—	8	1	no	—
921	C₂×C₄×C₇	—	8	1	no	—
922	C₂×C₄×C₇	—	8	1	no	—
923	C₂×C₄×C₇	—	8	1	no	—
924	C₂×C₄×C₇	—	8	1	no	—
925	C₂×C₄×C₇	—	8	1	no	—
926	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
930	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
931	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
932	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
933	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
934	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
935	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
936	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
937	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
938	C₂²⋊D₇	—	8	1	no	—
939	C₂²⋊D₇	—	8	1	no	—
940	C₂²⋊D₇	—	8	1	no	—
941	C₂²⋊D₇	—	8	1	no	—
942	C₂²⋊D₇	—	8	1	no	—
943	C₂²⋊D₇	—	8	1	no	—
944	C₂×Dic₇	—	2	1	no	—
945	C₂×Dic₇	—	2	1	no	—
946	C₂×Dic₇	—	2	1	no	—
947	C₂×Dic₇	—	2	1	no	—
948	C₂×Dic₇	—	2	1	no	—
949	C₂×Dic₇	—	2	1	no	—
950	C₂×Dic₇	—	8	1	no	—
951	C₂×Dic₇	—	8	1	no	—
952	D₂₈	—	2	1	no	—
953	D₂₈	—	2	1	no	—
954	D₂₈	—	2	1	no	—
955	D₂₈	—	2	1	no	—
956	D₂₈	—	8	1	no	—
957	D₂₈	—	8	1	no	—
958	C₄×D₇	—	4	2	no	—
959	C₄×D₇	—	4	2	no	—
960	C₄×D₇	—	8	1	no	—
961	C₄×D₇	—	8	1	no	—
962	C₄×D₇	—	8	1	no	—
963	C₄×D₇	—	8	1	no	—
964	Dic₁₄	—	4	2	no	—
965	Dic₁₄	—	8	1	no	—
966	Dic₁₄	—	8	1	no	—
967	Dic₁₄	—	8	1	no	—
968	Dic₁₄	—	8	1	no	—
969	C₇⋊C₈	—	2	1	no	—
970	C₇⋊C₈	—	2	1	no	—
971	C₇⋊C₈	—	2	1	no	—
972	C₇⋊C₈	—	2	1	no	—
973	C₇⋊C₈	—	2	1	no	—
974	C₇⋊C₈	—	2	1	no	—
975	C₇⋊C₈	—	2	1	no	—
976	C₇⋊C₈	—	2	1	no	—
977	C₂×#41	—	14	1	no	—
978	C₂×#41	—	14	1	no	—
979	C₂×#41	C₂²×D₇	1	1	yes	characteristic
980	C₂×#41	C₂²×D₇	1	1	yes	characteristic
981	C₂²×Q₈	—	14	1	no	—
982	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
983	C₂×SD₁₆	—	7	1	no	—
984	C₂×SD₁₆	—	7	1	no	—
985	C₂×SD₁₆	—	7	1	no	—
986	C₂×SD₁₆	—	7	1	no	—
987	C₂×D₈	—	7	1	no	—
988	C₂×D₈	—	7	1	no	—
989	C₂×D₈	—	7	1	no	—
990	C₂×D₈	—	7	1	no	—
991	C₂×M₁₆	—	7	1	no	—
992	C₂×M₁₆	—	7	1	no	—
993	C₂²×C₈	—	7	1	no	—
994	C₂²×C₈	—	7	1	no	—
995	C₂²×C₈	—	7	1	no	—
996	C₂²×C₈	—	7	1	no	—
997	C₄⋊Q₈	—	7	1	no	—
998	C₄⋊Q₈	—	7	1	no	—
999	C₄⋊Q₈	—	7	1	no	—
1000	C₄⋊Q₈	—	7	1	no	—
1001	C₄⋊Q₈	—	7	1	no	—
1002	C₄⋊Q₈	—	14	1	no	—
1003	C₄⋊Q₈	—	14	1	no	—
1004	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1005	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1006	#127	—	7	1	no	—
1007	#126	—	2	1	no	—
1008	#126	—	2	1	no	—
1009	#126	—	2	1	no	—
1010	#126	—	2	1	no	—
1011	#126	—	2	1	no	—
1012	#126	—	2	1	no	—
1013	#126	—	2	1	no	—
1014	#126	—	2	1	no	—
1015	#126	—	2	1	no	—
1016	#126	—	2	1	no	—
1017	#126	—	14	1	no	—
1018	#126	—	14	1	no	—
1019	#126	C₂²⋊D₇	1	1	yes	characteristic
1020	#126	C₂²⋊D₇	1	1	yes	characteristic
1021	#125	—	2	1	no	—
1022	#125	—	2	1	no	—
1023	#125	—	2	1	no	—
1024	#125	—	7	1	no	—
1025	#125	—	7	1	no	—
1026	#125	—	7	1	no	—
1027	#125	—	7	1	no	—
1028	#125	—	14	1	no	—
1029	#125	—	14	1	no	—
1030	#125	C₂²⋊D₇	1	1	yes	characteristic
1031	#125	C₂²×D₇	1	1	yes	characteristic
1032	#125	C₂²×D₇	1	1	yes	characteristic
1033	#124	—	2	1	no	—
1034	#124	—	2	1	no	—
1035	#124	—	14	1	no	—
1036	#124	—	14	1	no	—
1037	#124	—	14	1	no	—
1038	#124	—	14	1	no	—
1039	#124	—	14	1	no	—
1040	#124	—	14	1	no	—
1041	#124	—	14	1	no	—
1042	#124	C₂²⋊D₇	1	1	yes	characteristic
1043	#124	C₂²×D₇	1	1	yes	characteristic
1044	#124	C₂²×D₇	1	1	yes	characteristic
1045	#123	—	2	1	no	—
1046	#123	—	2	1	no	—
1047	#123	—	2	1	no	—
1048	#123	—	2	1	no	—
1049	#123	—	2	1	no	—
1050	#123	—	2	1	no	—
1051	#123	—	2	1	no	—
1052	#123	—	2	1	no	—
1053	#123	—	14	1	no	—
1054	#123	—	14	1	no	—
1055	#123	—	14	1	no	—
1056	#123	—	14	1	no	—
1057	#123	—	14	1	no	—
1058	#123	—	14	1	no	—
1059	#123	—	14	1	no	—
1060	#123	—	14	1	no	—
1061	#123	C₂²⋊D₇	1	1	yes	characteristic
1062	#123	C₂²⋊D₇	1	1	yes	characteristic
1063	C₂²⋊Q₈	—	2	1	no	—
1064	C₂²⋊Q₈	—	2	1	no	—
1065	C₂²⋊Q₈	—	2	1	no	—
1066	C₂²⋊Q₈	—	2	1	no	—
1067	C₂²⋊Q₈	—	2	1	no	—
1068	C₂²⋊Q₈	—	14	1	no	—
1069	C₂²⋊Q₈	—	14	1	no	—
1070	C₂²⋊Q₈	—	14	1	no	—
1071	C₂²⋊Q₈	—	14	1	no	—
1072	C₂²⋊Q₈	—	14	1	no	—
1073	C₂²⋊Q₈	—	14	1	no	—
1074	C₂²⋊Q₈	—	14	1	no	—
1075	C₂²⋊Q₈	—	14	1	no	—
1076	C₂²⋊Q₈	—	14	1	no	—
1077	C₂²⋊Q₈	—	14	1	no	—
1078	C₂²⋊Q₈	—	14	1	no	—
1079	C₂²⋊Q₈	—	14	1	no	—
1080	C₂²⋊Q₈	—	14	1	no	—
1081	C₂²⋊Q₈	C₂²⋊D₇	1	1	yes	characteristic
1082	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1083	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1084	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1085	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1086	#121	—	2	1	no	—
1087	#121	—	2	1	no	—
1088	#121	—	2	1	no	—
1089	#121	—	2	1	no	—
1090	#121	—	7	1	no	—
1091	#121	—	7	1	no	—
1092	#121	—	7	1	no	—
1093	#121	—	7	1	no	—
1094	#121	—	7	1	no	—
1095	#121	—	7	1	no	—
1096	#121	—	14	1	no	—
1097	#121	—	14	1	no	—
1098	#121	—	14	1	no	—
1099	#121	—	14	1	no	—
1100	#121	—	14	1	no	—
1101	#121	—	14	1	no	—
1102	#121	—	14	1	no	—
1103	#121	—	14	1	no	—
1104	#121	—	14	1	no	—
1105	#121	—	14	1	no	—
1106	#121	C₂²⋊D₇	1	1	yes	characteristic
1107	#121	C₂²×D₇	1	1	yes	characteristic
1108	#121	C₂²×D₇	1	1	yes	characteristic
1109	#120	—	2	1	no	—
1110	#120	—	2	1	no	—
1111	C₄×Q₈	—	2	1	no	—
1112	C₄×Q₈	—	14	1	no	—
1113	C₄×Q₈	—	14	1	no	—
1114	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1115	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1116	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1117	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1118	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1119	C₄×D₄	—	2	1	no	—
1120	C₄×D₄	—	2	1	no	—
1121	C₄×D₄	—	2	1	no	—
1122	C₄×D₄	—	2	1	no	—
1123	C₄×D₄	—	2	1	no	—
1124	C₄×D₄	—	2	1	no	—
1125	C₄×D₄	—	2	1	no	—
1126	C₄×D₄	—	2	1	no	—
1127	C₄×D₄	—	7	1	no	—
1128	C₄×D₄	—	7	1	no	—
1129	C₄×D₄	—	7	1	no	—
1130	C₄×D₄	—	7	1	no	—
1131	C₄×D₄	—	7	1	no	—
1132	C₄×D₄	—	7	1	no	—
1133	C₄×D₄	—	14	1	no	—
1134	C₄×D₄	—	14	1	no	—
1135	C₄×D₄	—	14	1	no	—
1136	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1137	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1138	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1139	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1140	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1141	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1142	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1143	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1144	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1145	#117	—	2	1	no	—
1146	#117	—	2	1	no	—
1147	#117	—	2	1	no	—
1148	#117	—	2	1	no	—
1149	#117	—	2	1	no	—
1150	#117	—	7	1	no	—
1151	#117	—	7	1	no	—
1152	#117	—	7	1	no	—
1153	#117	—	7	1	no	—
1154	#117	—	14	1	no	—
1155	#117	—	14	1	no	—
1156	#117	—	14	1	no	—
1157	#117	C₂²×D₇	1	1	yes	characteristic
1158	#117	C₂²×D₇	1	1	yes	characteristic
1159	#117	C₂²×D₇	1	1	yes	characteristic
1160	#117	C₂²×D₇	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	—	2	1	no	—
1162	C₂×C₄⋊C₄	—	2	1	no	—
1163	C₂×C₄⋊C₄	—	2	1	no	—
1164	C₂×C₄⋊C₄	—	7	1	no	—
1165	C₂×C₄⋊C₄	—	7	1	no	—
1166	C₂×C₄⋊C₄	—	14	1	no	—
1167	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1168	C₂×C₂²⋊C₄	—	2	1	no	—
1169	C₂×C₂²⋊C₄	—	2	1	no	—
1170	C₂×C₂²⋊C₄	—	2	1	no	—
1171	C₂×C₂²⋊C₄	—	2	1	no	—
1172	C₂×C₄²	—	2	1	no	—
1173	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1174	#107	—	7	1	no	—
1175	#107	—	7	1	no	—
1176	#107	—	7	1	no	—
1177	#107	—	7	1	no	—
1178	#107	—	7	1	no	—
1179	#107	—	7	1	no	—
1180	#107	—	7	1	no	—
1181	#107	—	7	1	no	—
1182	#107	—	7	1	no	—
1183	#107	—	7	1	no	—
1184	#107	—	7	1	no	—
1185	#107	—	7	1	no	—
1186	#106	—	7	1	no	—
1187	#106	—	7	1	no	—
1188	#106	—	7	1	no	—
1189	#106	—	7	1	no	—
1190	#106	—	7	1	no	—
1191	#106	—	7	1	no	—
1192	#106	—	7	1	no	—
1193	#106	—	7	1	no	—
1194	#106	—	7	1	no	—
1195	#106	—	7	1	no	—
1196	#106	—	7	1	no	—
1197	#106	—	7	1	no	—
1198	C₄⋊C₈	—	7	1	no	—
1199	C₄⋊C₈	—	7	1	no	—
1200	C₄⋊C₈	—	7	1	no	—
1201	C₄⋊C₈	—	7	1	no	—
1202	C₄⋊C₈	—	7	1	no	—
1203	C₄⋊C₈	—	7	1	no	—
1204	C₄⋊C₈	—	7	1	no	—
1205	C₄⋊C₈	—	7	1	no	—
1206	C₄⋊C₈	—	7	1	no	—
1207	C₄⋊C₈	—	7	1	no	—
1208	#103	—	7	1	no	—
1209	#103	—	7	1	no	—
1210	#103	—	7	1	no	—
1211	#103	—	7	1	no	—
1212	#103	—	7	1	no	—
1213	#103	—	7	1	no	—
1214	#103	—	7	1	no	—
1215	#103	—	7	1	no	—
1216	#103	—	7	1	no	—
1217	#103	—	7	1	no	—
1218	#103	—	7	1	no	—
1219	#103	—	7	1	no	—
1220	#102	—	7	1	no	—
1221	#102	—	7	1	no	—
1222	#102	—	7	1	no	—
1223	#102	—	7	1	no	—
1224	#102	—	7	1	no	—
1225	#102	—	7	1	no	—
1226	#102	—	7	1	no	—
1227	#102	—	7	1	no	—
1228	#102	—	7	1	no	—
1229	#102	—	7	1	no	—
1230	#102	—	7	1	no	—
1231	#102	—	7	1	no	—
1232	#102	—	7	1	no	—
1233	#102	—	7	1	no	—
1234	#102	—	7	1	no	—
1235	#102	—	7	1	no	—
1236	#102	—	7	1	no	—
1237	#102	—	7	1	no	—
1238	#102	—	7	1	no	—
1239	#102	—	7	1	no	—
1240	C₂²⋊C₈	—	7	1	no	—
1241	C₂²⋊C₈	—	7	1	no	—
1242	C₂²⋊C₈	—	7	1	no	—
1243	C₂²⋊C₈	—	7	1	no	—
1244	C₂²⋊C₈	—	7	1	no	—
1245	C₂²⋊C₈	—	7	1	no	—
1246	#97	—	7	1	no	—
1247	#97	—	7	1	no	—
1248	#97	—	7	1	no	—
1249	#97	—	7	1	no	—
1250	C₄×C₈	—	7	1	no	—
1251	C₄×C₈	—	7	1	no	—
1252	C₂²×C₇	—	2	1	no	—
1253	C₂²×C₇	—	2	1	no	—
1254	C₂²×C₇	—	2	1	no	—
1255	C₂²×C₇	—	2	1	no	—
1256	C₂²×C₇	—	2	1	no	—
1257	C₂²×C₇	—	2	1	no	—
1258	C₂²×C₇	—	2	1	no	—
1259	C₂²×C₇	—	2	1	no	—
1260	C₂²×C₇	—	2	1	no	—
1261	C₂²×C₇	—	2	2	no	—
1262	C₂²×C₇	—	4	1	no	—
1263	C₂²×C₇	—	4	1	no	—
1264	C₂²×C₇	—	4	1	no	—
1265	C₂²×C₇	—	4	1	no	—
1266	C₂²×C₇	—	4	1	no	—
1267	C₂²×C₇	—	16	2	no	—
1268	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1269	C₂×D₇	—	4	1	no	—
1270	C₂×D₇	—	4	1	no	—
1271	C₂×D₇	—	4	1	no	—
1272	C₂×D₇	—	4	1	no	—
1273	C₂×D₇	—	4	1	no	—
1274	C₂×D₇	—	4	1	no	—
1275	C₄×C₇	—	2	1	no	—
1276	C₄×C₇	—	2	1	no	—
1277	C₄×C₇	—	2	1	no	—
1278	C₄×C₇	—	2	1	no	—
1279	C₄×C₇	—	2	1	no	—
1280	C₄×C₇	—	2	1	no	—
1281	C₄×C₇	—	2	1	no	—
1282	C₄×C₇	—	2	1	no	—
1283	C₄×C₇	—	2	1	no	—
1284	C₄×C₇	—	2	1	no	—
1285	C₄×C₇	—	2	1	no	—
1286	C₄×C₇	—	4	1	no	—
1287	C₄×C₇	—	4	1	no	—
1288	C₄×C₇	—	4	1	no	—
1289	C₄×C₇	—	4	1	no	—
1290	C₄×C₇	—	4	1	no	—
1291	C₄×C₇	—	4	1	no	—
1292	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1293	C₄×C₇	#585	1	1	yes	characteristic
1294	Dic₇	—	4	1	no	—
1295	Dic₇	—	4	1	no	—
1296	Dic₇	—	4	1	no	—
1297	Dic₇	—	4	1	no	—
1298	Dic₇	—	4	1	no	—
1299	Dic₇	—	4	1	no	—
1300	C₂⁴	—	2	1	no	—
1301	#41	—	2	2	no	—
1302	#41	—	2	2	no	—
1303	#41	—	4	1	no	—
1304	#41	—	4	1	no	—
1305	#41	—	56	2	no	—
1306	#41	—	56	2	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	14	1	no	—
1309	C₂×Q₈	—	14	1	no	—
1310	C₂×Q₈	—	14	1	no	—
1311	C₂×Q₈	—	14	1	no	—
1312	C₂×Q₈	—	14	1	no	—
1313	C₂×Q₈	—	56	2	no	—
1314	C₂×Q₈	C₂×C₂²⋊D₇	1	1	yes	characteristic
1315	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1316	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1317	C₂×D₄	—	2	2	no	—
1318	C₂×D₄	—	2	1	no	—
1319	C₂×D₄	—	2	1	no	—
1320	C₂×D₄	—	2	1	no	—
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	4	1	no	—
1324	C₂×D₄	—	7	1	no	—
1325	C₂×D₄	—	7	1	no	—
1326	C₂×D₄	—	14	1	no	—
1327	C₂×D₄	—	14	1	no	—
1328	C₂×D₄	—	14	1	no	—
1329	C₂×D₄	—	14	1	no	—
1330	C₂×D₄	—	14	1	no	—
1331	C₂×D₄	—	14	1	no	—
1332	C₂×D₄	—	14	1	no	—
1333	C₂×D₄	—	14	1	no	—
1334	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1335	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1336	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1337	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1338	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	14	1	no	—
1349	C₂²×C₄	—	14	1	no	—
1350	C₂²×C₄	—	14	1	no	—
1351	C₂²×C₄	—	14	1	no	—
1352	C₂²×C₄	—	14	1	no	—
1353	C₂²×C₄	—	14	1	no	—
1354	C₂²×C₄	—	14	1	no	—
1355	C₂²×C₄	—	14	1	no	—
1356	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1357	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1358	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1359	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1360	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1361	SD₁₆	—	28	1	no	—
1362	SD₁₆	—	28	1	no	—
1363	SD₁₆	—	28	1	no	—
1364	SD₁₆	—	28	1	no	—
1365	D₈	—	14	2	no	—
1366	D₈	—	14	2	no	—
1367	D₈	—	28	1	no	—
1368	D₈	—	28	1	no	—
1369	M₁₆	—	28	1	no	—
1370	M₁₆	—	28	1	no	—
1371	C₂×C₈	—	7	1	no	—
1372	C₂×C₈	—	7	1	no	—
1373	C₂×C₈	—	7	1	no	—
1374	C₂×C₈	—	7	1	no	—
1375	C₂×C₈	—	7	1	no	—
1376	C₂×C₈	—	7	1	no	—
1377	C₂×C₈	—	7	1	no	—
1378	C₂×C₈	—	7	1	no	—
1379	C₂×C₈	—	28	1	no	—
1380	C₂×C₈	—	28	1	no	—
1381	C₂×C₈	—	28	1	no	—
1382	C₂×C₈	—	28	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	7	1	no	—
1400	C₄⋊C₄	—	7	1	no	—
1401	C₄⋊C₄	—	7	1	no	—
1402	C₄⋊C₄	—	7	1	no	—
1403	C₄⋊C₄	—	7	1	no	—
1404	C₄⋊C₄	—	7	1	no	—
1405	C₄⋊C₄	—	14	1	no	—
1406	C₄⋊C₄	—	14	1	no	—
1407	C₄⋊C₄	—	14	1	no	—
1408	C₄⋊C₄	—	14	1	no	—
1409	C₄⋊C₄	—	14	1	no	—
1410	C₄⋊C₄	—	14	1	no	—
1411	C₄⋊C₄	—	14	1	no	—
1412	C₄⋊C₄	—	14	1	no	—
1413	C₄⋊C₄	—	14	1	no	—
1414	C₄⋊C₄	—	14	1	no	—
1415	C₄⋊C₄	—	14	1	no	—
1416	C₄⋊C₄	—	14	1	no	—
1417	C₄⋊C₄	—	14	1	no	—
1418	C₄⋊C₄	—	14	1	no	—
1419	C₄⋊C₄	—	14	1	no	—
1420	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1421	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1422	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1428	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1429	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1430	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1431	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1432	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1433	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	14	1	no	—
1453	C₂²⋊C₄	—	14	1	no	—
1454	C₂²⋊C₄	—	14	1	no	—
1455	C₂²⋊C₄	—	14	1	no	—
1456	C₂²⋊C₄	—	14	1	no	—
1457	C₂²⋊C₄	—	14	1	no	—
1458	C₂²⋊C₄	—	14	1	no	—
1459	C₂²⋊C₄	—	14	1	no	—
1460	C₂²⋊C₄	—	14	1	no	—
1461	C₂²⋊C₄	—	14	1	no	—
1462	C₂²⋊C₄	—	14	1	no	—
1463	C₂²⋊C₄	—	14	1	no	—
1464	C₂²⋊C₄	—	14	1	no	—
1465	C₂²⋊C₄	—	14	1	no	—
1466	C₂²⋊C₄	—	14	1	no	—
1467	C₂²⋊C₄	—	14	1	no	—
1468	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1469	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1470	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1471	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1473	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1474	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1478	C₄²	—	2	1	no	—
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	14	1	no	—
1485	C₄²	—	14	1	no	—
1486	C₄²	—	14	1	no	—
1487	C₄²	—	14	1	no	—
1488	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1489	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1490	C₄²	C₂³×D₇	1	1	yes	characteristic
1491	C₄²	C₂³×D₇	1	1	yes	characteristic
1492	C₄²	C₂³×D₇	1	1	yes	characteristic
1493	C₄²	C₂³×D₇	1	1	yes	characteristic
1494	C₂×C₇	—	4	1	no	—
1495	C₂×C₇	—	4	1	no	—
1496	C₂×C₇	—	4	1	no	—
1497	C₂×C₇	—	4	2	no	—
1498	C₂×C₇	—	8	1	no	—
1499	C₂×C₇	#3489	1	1	yes	characteristic
1500	C₂×C₇	#3584	1	1	yes	characteristic
1501	C₂×C₇	#3585	1	1	yes	characteristic
1502	D₇	—	8	1	no	—
1503	D₇	—	8	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	4	2	no	—
1507	C₂³	—	8	1	no	—
1508	C₂³	—	8	1	no	—
1509	C₂³	—	14	1	no	—
1510	C₂³	—	14	1	no	—
1511	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1512	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1513	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1514	Q₈	—	2	1	no	—
1515	Q₈	—	2	1	no	—
1516	Q₈	—	2	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	4	1	no	—
1519	Q₈	—	8	1	no	—
1520	Q₈	—	28	2	no	—
1521	Q₈	—	56	1	no	—
1522	Q₈	—	56	1	no	—
1523	Q₈	—	56	1	no	—
1524	Q₈	—	56	1	no	—
1525	D₄	—	2	1	no	—
1526	D₄	—	2	1	no	—
1527	D₄	—	2	1	no	—
1528	D₄	—	4	1	no	—
1529	D₄	—	4	1	no	—
1530	D₄	—	4	1	no	—
1531	D₄	—	4	2	no	—
1532	D₄	—	4	2	no	—
1533	D₄	—	4	2	no	—
1534	D₄	—	8	1	no	—
1535	D₄	—	8	1	no	—
1536	D₄	—	14	1	no	—
1537	D₄	—	14	1	no	—
1538	D₄	—	14	1	no	—
1539	D₄	—	14	1	no	—
1540	D₄	—	56	1	no	—
1541	D₄	—	56	1	no	—
1542	D₄	—	56	1	no	—
1543	D₄	—	56	1	no	—
1544	D₄	—	56	1	no	—
1545	D₄	—	56	1	no	—
1546	D₄	—	56	1	no	—
1547	D₄	—	56	1	no	—
1548	D₄	#6554	1	2	yes	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	4	1	no	—
1562	C₂×C₄	—	4	1	no	—
1563	C₂×C₄	—	4	2	no	—
1564	C₂×C₄	—	4	2	no	—
1565	C₂×C₄	—	8	1	no	—
1566	C₂×C₄	—	8	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	8	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	14	1	no	—
1573	C₂×C₄	—	14	1	no	—
1574	C₂×C₄	—	14	1	no	—
1575	C₂×C₄	—	14	1	no	—
1576	C₂×C₄	—	14	1	no	—
1577	C₂×C₄	—	14	1	no	—
1578	C₂×C₄	—	28	2	no	—
1579	C₂×C₄	—	28	2	no	—
1580	C₂×C₄	—	56	1	no	—
1581	C₂×C₄	—	56	1	no	—
1582	C₂×C₄	—	56	1	no	—
1583	C₂×C₄	—	56	1	no	—
1584	C₂×C₄	—	56	1	no	—
1585	C₂×C₄	—	56	1	no	—
1586	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1587	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1588	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1589	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1590	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1591	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1592	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1593	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1594	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1595	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1596	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1597	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1598	C₈	—	14	1	no	—
1599	C₈	—	14	1	no	—
1600	C₈	—	14	1	no	—
1601	C₈	—	14	1	no	—
1602	C₈	—	14	1	no	—
1603	C₈	—	14	1	no	—
1604	C₈	—	14	1	no	—
1605	C₈	—	14	1	no	—
1606	C₇	#62171	1	1	yes	characteristic, complemented, Sylow
1607	C₂²	—	2	1	no	—
1608	C₂²	—	2	1	no	—
1609	C₂²	—	2	1	no	—
1610	C₂²	—	2	2	no	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	2	1	no	—
1614	C₂²	—	2	1	no	—
1615	C₂²	—	2	1	no	—
1616	C₂²	—	2	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	16	2	no	—
1623	C₂²	—	28	1	no	—
1624	C₂²	—	28	1	no	—
1625	C₂²	—	28	1	no	—
1626	C₂²	—	28	1	no	—
1627	C₂²	—	28	1	no	—
1628	C₂²	—	28	1	no	—
1629	C₂²	C₂³×C₂²⋊D₇	1	1	yes	characteristic
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	1	no	—
1640	C₄	—	2	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	28	1	no	—
1648	C₄	—	28	1	no	—
1649	C₄	—	28	1	no	—
1650	C₄	—	28	1	no	—
1651	C₄	—	28	1	no	—
1652	C₄	—	28	1	no	—
1653	C₄	C₂×#6554	1	1	yes	characteristic
1654	C₄	#90616	1	1	yes	characteristic
1655	C₂	—	4	1	no	—
1656	C₂	—	4	1	no	—
1657	C₂	—	4	1	no	—
1658	C₂	—	4	2	no	—
1659	C₂	—	8	1	no	—
1660	C₂	—	56	1	no	—
1661	C₂	—	56	1	no	—
1662	C₂	#11744332	1	1	yes	characteristic
1663	C₂	#11744365	1	1	yes	characteristic
1664	C₂	#11744366	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×#3521	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#3521	D₇
hypocenter	C₇	#62171
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3521

Complements

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

N	H ≅ G/N	type
1. C₇×#3521	C₂	semidirect
2. #11743243	C₂	semidirect
3. #11741114	C₂	semidirect
4. #11741113	C₂	semidirect
5. #11741106	C₂	semidirect
6. #11741103	C₂	semidirect
7. #11741078	C₂	semidirect
8. #11741075	C₂	semidirect
9. #11741055	C₂	semidirect
10. #11741052	C₂	semidirect
11. #11741039	C₂	semidirect
12. #11741037	C₂	semidirect
13. #11740957	C₂	semidirect
14. #11740956	C₂	semidirect
15. #11740944	C₂	semidirect
16. #11740944	C₂	semidirect
17. #11740941	C₂	semidirect
18. #11740940	C₂	semidirect
19. #11740910	C₂	semidirect
20. #11740900	C₂	semidirect
21. #11740895	C₂	semidirect
22. #11740887	C₂	semidirect
23. #11740593	C₂	semidirect
24. #11740575	C₂	semidirect
25. #11740570	C₂	semidirect
26. #11740013	C₂	semidirect
27. #11740004	C₂	semidirect
28. #11739987	C₂	semidirect
29. #11739984	C₂	semidirect
30. #11739976	C₂	semidirect
31. #11739952	C₂	semidirect
63. #90270	C₂²	semidirect
64. Q₈×D₂₈	C₂²	semidirect
66. #90256	C₂²	semidirect
69. #90254	C₂²	semidirect
72. #90226	C₂²	semidirect
74. #90210	C₂²	semidirect
75. #90168	C₂²	semidirect
76. #90161	C₂²	semidirect
89. #89859	C₂²	semidirect
90. #89856	C₂²	semidirect
91. #89855	C₂²	semidirect
92. #89855	C₂²	semidirect
93. #89854	C₂²	semidirect
94. #89853	C₂²	semidirect
95. #89852	C₂²	semidirect
96. #89851	C₂²	semidirect
97. #89838	C₂²	semidirect
98. #89838	C₂²	semidirect
99. #89838	C₂²	semidirect
100. #89838	C₂²	semidirect
101. #89837	C₂²	semidirect
102. #89837	C₂²	semidirect
103. #89837	C₂²	semidirect
104. #89836	C₂²	semidirect
115. #89821	C₂²	semidirect
118. #89820	C₂²	semidirect
119. #89820	C₂²	semidirect
120. #89820	C₂²	semidirect
123. #89817	C₂²	semidirect
124. #89817	C₂²	semidirect
125. #89817	C₂²	semidirect
128. #89815	C₂²	semidirect
137. #89799	C₂²	semidirect
138. #89799	C₂²	semidirect
139. #89798	C₂²	semidirect
140. #89798	C₂²	semidirect
141. #89798	C₂²	semidirect
142. C₄×#1143	C₂²	semidirect
143. #89796	C₂²	semidirect
144. #89796	C₂²	semidirect
145. #89794	C₂²	semidirect
146. #89794	C₂²	semidirect
147. #89794	C₂²	semidirect
148. #89794	C₂²	semidirect
149. #89794	C₂²	semidirect
150. #89793	C₂²	semidirect
151. #89793	C₂²	semidirect
152. #89793	C₂²	semidirect
153. #89792	C₂²	semidirect
154. #89792	C₂²	semidirect
168. #89783	C₂²	semidirect
170. D₄×C₇⋊C₈	C₂²	semidirect
187. #89775	C₂²	semidirect
188. #89775	C₂²	semidirect
190. #89772	C₂²	semidirect
192. #89771	C₂²	semidirect
194. #89770	C₂²	semidirect
195. #89770	C₂²	semidirect
197. #89740	C₂²	semidirect
198. #89739	C₂²	semidirect
199. #89736	C₂²	semidirect
200. C₂×#6381	C₂²	semidirect
201. #89698	C₂²	semidirect
202. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
480. #3521	D₇	semidirect
1606. C₇	#62171	semidirect

Maximal subgroups

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

subgroup	index
C₇×#3521	2
#11743243	2
#11741114	2
#11741113	2
#11741106	2
#11741103	2
#11741078	2
#11741075	2
#11741055	2
#11741052	2
#11741039	2
#11741037	2
#11740957	2
#11740956	2
#11740944	2
#11740941	2
#11740940	2
#11740910	2
#11740900	2
#11740895	2
#11740887	2
#11740593	2
#11740575	2
#11740570	2
#11740013	2
#11740004	2
#11739987	2
#11739984	2
#11739976	2
#11739952	2
#62171	7