Subgroups — #14236221

Order 1792.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1662 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	#11743192	C₂	1	1	yes	maximal, characteristic, complemented
3	#11741145	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741127	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741123	C₂	1	1	yes	maximal, characteristic, complemented
6	#11741115	C₂	1	1	yes	maximal, characteristic, complemented
7	#11741086	C₂	1	1	yes	maximal, characteristic, complemented
8	#11741068	C₂	1	1	yes	maximal, characteristic, complemented
9	#11741065	C₂	1	1	yes	maximal, characteristic, complemented
10	#11741052	C₂	1	1	yes	maximal, characteristic, complemented
11	#11741050	C₂	1	1	yes	maximal, characteristic, complemented
12	#11741035	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×#1144	C₂	1	1	yes	maximal, characteristic, complemented
14	#11740998	C₂	1	1	yes	maximal, characteristic, complemented
15	#11740994	C₂	1	1	yes	maximal, characteristic, complemented
16	#11740994	C₂	1	1	yes	maximal, characteristic, complemented
17	#11740986	C₂	1	1	yes	maximal, characteristic, complemented
18	#11740983	C₂	1	1	yes	maximal, characteristic, complemented
19	#11740912	C₂	1	1	yes	maximal, characteristic, complemented
20	#11740902	C₂	1	1	yes	maximal, characteristic, complemented
21	#11740891	C₂	1	1	yes	maximal, characteristic, complemented
22	#11740889	C₂	1	1	yes	maximal, characteristic, complemented
23	#11740598	C₂	1	1	yes	maximal, characteristic, complemented
24	#11740579	C₂	1	1	yes	maximal, characteristic, complemented
25	#11740571	C₂	1	1	yes	maximal, characteristic, complemented
26	#11740020	C₂	1	1	yes	maximal, characteristic, complemented
27	#11740002	C₂	1	1	yes	maximal, characteristic, complemented
28	#11739997	C₂	1	1	yes	maximal, characteristic, complemented
29	#11739994	C₂	1	1	yes	maximal, characteristic, complemented
30	#11739890	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×#1144	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#557	C₂²	1	1	yes	characteristic
33	C₇×#556	—	2	1	no	—
34	C₇×#556	C₂²	1	1	yes	characteristic
35	C₇×#554	—	2	1	no	—
36	C₇×#554	C₂²	1	1	yes	characteristic
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
41	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
42	C₇×#548	C₂²	1	1	yes	characteristic
43	C₇×#548	C₂²	1	1	yes	characteristic
44	C₇×#542	—	2	1	no	—
45	C₇×#542	C₂²	1	1	yes	characteristic
46	C₇×#541	—	2	1	no	—
47	C₇×#541	C₂²	1	1	yes	characteristic
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
52	C₇×#520	C₂²	1	1	yes	characteristic
53	C₇×#519	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
55	C₂×#6513	C₂²	1	1	yes	characteristic
56	C₂²×#1144	C₂²	1	1	yes	characteristic
57	C₂²×#1144	C₂²	1	1	yes	characteristic
58	#90399	—	2	1	no	—
59	#90393	—	2	1	no	—
60	#90387	—	2	1	no	—
61	#90360	—	2	1	no	—
62	#90340	—	2	1	no	—
63	#90340	—	2	1	no	—
64	#90327	—	2	1	no	—
65	#90292	—	2	1	no	—
66	#90275	C₂²	1	1	yes	characteristic
67	#90258	C₂²	1	1	yes	characteristic
68	#90256	C₂²	1	1	yes	characteristic
69	#90243	C₂²	1	1	yes	characteristic
70	#90243	C₂²	1	1	yes	characteristic
71	#90234	C₂²	1	1	yes	characteristic
72	#90232	C₂²	1	1	yes	characteristic
73	D₄×Dic₁₄	C₂²	1	1	yes	characteristic
74	#90225	C₂²	1	1	yes	characteristic
75	#90214	C₂²	1	1	yes	characteristic
76	#90209	C₂²	1	1	yes	characteristic
77	#90207	C₂²	1	1	yes	characteristic
78	#90170	C₂²	1	1	yes	characteristic
79	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic
80	#90011	C₂²	1	1	yes	characteristic
81	#90011	C₂²	1	1	yes	characteristic
82	#90004	C₂²	1	1	yes	characteristic
83	#90000	C₂²	1	1	yes	characteristic
84	#90000	C₂²	1	1	yes	characteristic
85	#89999	C₂²	1	1	yes	characteristic
86	#89999	C₂²	1	1	yes	characteristic
87	#89997	C₂²	1	1	yes	characteristic
88	C₂×#6409	C₂²	1	1	yes	characteristic
89	#89866	C₂²	1	1	yes	characteristic
90	#89864	C₂²	1	1	yes	characteristic
91	#89863	C₂²	1	1	yes	characteristic
92	#89862	C₂²	1	1	yes	characteristic
93	#89861	C₂²	1	1	yes	characteristic
94	#89855	C₂²	1	1	yes	characteristic
95	#89854	C₂²	1	1	yes	characteristic
96	#89850	C₂²	1	1	yes	characteristic
97	#89841	C₂²	1	1	yes	characteristic
98	#89840	C₂²	1	1	yes	characteristic
99	#89838	C₂²	1	1	yes	characteristic
100	#89836	C₂²	1	1	yes	characteristic
101	#89836	C₂²	1	1	yes	characteristic
102	#89835	C₂²	1	1	yes	characteristic
103	#89835	C₂²	1	1	yes	characteristic
104	#89835	C₂²	1	1	yes	characteristic
105	#89831	C₂²	1	1	yes	characteristic
106	#89831	C₂²	1	1	yes	characteristic
107	#89828	C₂²	1	1	yes	characteristic
108	#89827	C₂²	1	1	yes	characteristic
109	#89826	C₂²	1	1	yes	characteristic
110	#89826	C₂²	1	1	yes	characteristic
111	#89826	C₂²	1	1	yes	characteristic
112	#89826	C₂²	1	1	yes	characteristic
113	#89824	C₂²	1	1	yes	characteristic
114	#89824	C₂²	1	1	yes	characteristic
115	#89823	C₂²	1	1	yes	characteristic
116	#89823	C₂²	1	1	yes	characteristic
117	#89823	C₂²	1	1	yes	characteristic
118	#89823	C₂²	1	1	yes	characteristic
119	#89822	C₂²	1	1	yes	characteristic
120	#89822	C₂²	1	1	yes	characteristic
121	#89821	C₂²	1	1	yes	characteristic
122	#89820	C₂²	1	1	yes	characteristic
123	#89819	C₂²	1	1	yes	characteristic
124	#89819	C₂²	1	1	yes	characteristic
125	#89817	C₂²	1	1	yes	characteristic
126	#89816	C₂²	1	1	yes	characteristic
127	#89816	C₂²	1	1	yes	characteristic
128	#89815	C₂²	1	1	yes	characteristic
129	#89814	C₂²	1	1	yes	characteristic
130	#89813	C₂²	1	1	yes	characteristic
131	#89812	C₂²	1	1	yes	characteristic
132	#89812	C₂²	1	1	yes	characteristic
133	#89810	C₂²	1	1	yes	characteristic
134	#89810	C₂²	1	1	yes	characteristic
135	#89807	C₂²	1	1	yes	characteristic
136	#89806	C₂²	1	1	yes	characteristic
137	#89803	C₂²	1	1	yes	characteristic
138	#89802	C₂²	1	1	yes	characteristic
139	#89802	C₂²	1	1	yes	characteristic
140	#89802	C₂²	1	1	yes	characteristic
141	#89802	C₂²	1	1	yes	characteristic
142	#89802	C₂²	1	1	yes	characteristic
143	#89802	C₂²	1	1	yes	characteristic
144	C₄×#1144	C₂²	1	1	yes	characteristic
145	C₄×#1144	C₂²	1	1	yes	characteristic
146	C₄×#1144	C₂²	1	1	yes	characteristic
147	C₄×#1144	C₂²	1	1	yes	characteristic
148	C₄×#1144	C₂²	1	1	yes	characteristic
149	C₄×#1144	C₂²	1	1	yes	characteristic
150	C₄×#1144	C₂²	1	1	yes	characteristic
151	C₄×#1144	C₂²	1	1	yes	characteristic
152	C₄×#1144	C₂²	1	1	yes	characteristic
153	C₄×#1144	C₂²	1	1	yes	characteristic
154	C₄×#1144	C₂²	1	1	yes	characteristic
155	C₄×#1144	C₂²	1	1	yes	characteristic
156	#89800	C₂²	1	1	yes	characteristic
157	#89800	C₂²	1	1	yes	characteristic
158	#89800	C₂²	1	1	yes	characteristic
159	#89800	C₂²	1	1	yes	characteristic
160	#89798	C₂²	1	1	yes	characteristic
161	#89798	C₂²	1	1	yes	characteristic
162	#89798	C₂²	1	1	yes	characteristic
163	C₄×#1143	C₂²	1	1	yes	characteristic
164	#89796	C₂²	1	1	yes	characteristic
165	Q₈×C₇⋊C₈	C₂²	1	1	yes	characteristic
166	#89794	C₂²	1	1	yes	characteristic
167	#89794	C₂²	1	1	yes	characteristic
168	#89794	C₂²	1	1	yes	characteristic
169	#89793	C₂²	1	1	yes	characteristic
170	#89792	C₂²	1	1	yes	characteristic
171	#89791	C₂²	1	1	yes	characteristic
172	#89790	C₂²	1	1	yes	characteristic
173	#89790	C₂²	1	1	yes	characteristic
174	#89790	C₂²	1	1	yes	characteristic
175	C₄×#1142	C₂²	1	1	yes	characteristic
176	C₄×#1141	C₂²	1	1	yes	characteristic
177	C₄×#1141	C₂²	1	1	yes	characteristic
178	#89784	C₂²	1	1	yes	characteristic
179	#89783	C₂²	1	1	yes	characteristic
180	#89783	C₂²	1	1	yes	characteristic
181	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
182	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
183	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
184	#89781	C₂²	1	1	yes	characteristic
185	#89776	C₂²	1	1	yes	characteristic
186	#89775	C₂²	1	1	yes	characteristic
187	#89772	C₂²	1	1	yes	characteristic
188	#89772	C₂²	1	1	yes	characteristic
189	#89770	C₂²	1	1	yes	characteristic
190	#89769	C₂²	1	1	yes	characteristic
191	#89769	C₂²	1	1	yes	characteristic
192	#89768	C₂²	1	1	yes	characteristic
193	#89743	C₂²	1	1	yes	characteristic
194	#89742	C₂²	1	1	yes	characteristic
195	#89742	C₂²	1	1	yes	characteristic
196	C₂×#6384	C₂²	1	1	yes	characteristic
197	#89740	C₂²	1	1	yes	characteristic
198	#89738	C₂²	1	1	yes	characteristic
199	C₂×#6381	C₂²	1	1	yes	characteristic
200	C₂×#6381	C₂²	1	1	yes	characteristic
201	#89698	C₂²	1	1	yes	characteristic
202	C₂×C₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
203	#61473	—	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×#1157	C₂³	1	1	yes	characteristic
208	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
209	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
210	C₇×C₄⋊Q₈	—	2	1	no	—
211	C₇×C₄⋊Q₈	—	2	1	no	—
212	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
228	C₇×#125	—	2	1	no	—
229	C₇×#125	—	2	1	no	—
230	C₇×#125	D₄	1	1	yes	characteristic
231	C₇×#125	C₂³	1	1	yes	characteristic
232	C₇×#125	C₂³	1	1	yes	characteristic
233	C₇×#124	—	2	1	no	—
234	C₇×#124	—	2	1	no	—
235	C₇×#124	—	2	1	no	—
236	C₇×#124	D₄	1	1	yes	characteristic
237	C₇×#124	C₂³	1	1	yes	characteristic
238	C₇×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
251	C₇×C₂²⋊Q₈	—	2	1	no	—
252	C₇×C₂²⋊Q₈	—	2	1	no	—
253	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
254	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₇×#121	—	2	1	no	—
259	C₇×#121	—	2	1	no	—
260	C₇×#121	—	2	1	no	—
261	C₇×#121	D₄	1	1	yes	characteristic
262	C₇×#121	C₂³	1	1	yes	characteristic
263	C₇×#121	C₂³	1	1	yes	characteristic
264	C₄×C₇×Q₈	—	2	1	no	—
265	C₄×C₇×Q₈	—	2	1	no	—
266	C₄×C₇×Q₈	—	2	1	no	—
267	C₄×C₇×Q₈	—	2	1	no	—
268	C₄×C₇×Q₈	—	2	1	no	—
269	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
270	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
271	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
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×D₄	—	2	1	no	—
279	C₄×C₇×D₄	—	2	1	no	—
280	C₄×C₇×D₄	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
287	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
288	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
289	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
290	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
291	C₇×#117	—	2	1	no	—
292	C₇×#117	—	2	1	no	—
293	C₇×#117	—	2	1	no	—
294	C₇×#117	—	2	1	no	—
295	C₇×#117	—	2	1	no	—
296	C₇×#117	—	2	1	no	—
297	C₇×#117	C₂³	1	1	yes	characteristic
298	C₇×#117	C₂³	1	1	yes	characteristic
299	C₇×#117	C₂³	1	1	yes	characteristic
300	C₂×C₇×C₄⋊C₄	—	2	1	no	—
301	C₂×C₇×C₄⋊C₄	—	2	1	no	—
302	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₇	—	2	1	no	—
305	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
306	#6513	—	2	4	no	—
307	#6509	—	2	1	no	—
308	#6507	—	2	1	no	—
309	C₂×#1144	—	2	4	no	—
310	C₂×#1144	—	2	4	no	—
311	C₂×#1144	C₂³	1	1	yes	characteristic
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×#1144	C₂³	1	1	yes	characteristic
316	C₂×#1144	C₂³	1	1	yes	characteristic
317	C₂×#1144	C₂³	1	1	yes	characteristic
318	C₂×#1144	C₂³	1	1	yes	characteristic
319	C₂×#1144	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	#6502	—	2	1	no	—
324	#6502	—	2	1	no	—
325	#6502	—	2	1	no	—
326	#6498	—	2	1	no	—
327	D₄×Dic₇	—	2	1	no	—
328	D₄×Dic₇	—	2	1	no	—
329	C₂×#1142	C₂³	1	1	yes	characteristic
330	C₂×#1142	C₂³	1	1	yes	characteristic
331	C₂×#1142	C₂³	1	1	yes	characteristic
332	C₂×#1141	C₂³	1	1	yes	characteristic
333	#6493	C₂³	1	1	yes	characteristic
334	#6493	C₂³	1	1	yes	characteristic
335	#6492	—	2	1	no	—
336	C₄×C₂²⋊D₇	—	2	1	no	—
337	#6489	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
340	#6487	C₂³	1	1	yes	characteristic
341	#6487	C₂³	1	1	yes	characteristic
342	#6487	C₂³	1	1	yes	characteristic
343	#6487	C₂³	1	1	yes	characteristic
344	C₂×Dic₇⋊C₄	—	2	1	no	—
345	C₂×C₄×Dic₇	—	2	1	no	—
346	C₂×#1136	C₂³	1	1	yes	characteristic
347	C₂×#1136	C₂³	1	1	yes	characteristic
348	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
349	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
350	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
351	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
352	#6461	—	2	1	no	—
353	#6461	—	2	1	no	—
354	#6461	—	2	1	no	—
355	#6461	—	2	1	no	—
356	#6459	—	2	1	no	—
357	#6459	—	2	1	no	—
358	#6459	—	2	1	no	—
359	#6455	—	2	1	no	—
360	#6455	—	2	1	no	—
361	D₇×C₄⋊C₄	—	2	1	no	—
362	#6453	—	2	1	no	—
363	#6452	—	2	1	no	—
364	#6452	—	2	1	no	—
365	#6452	—	2	1	no	—
366	#6452	—	2	1	no	—
367	#6452	—	2	1	no	—
368	#6451	—	2	1	no	—
369	#6450	—	2	1	no	—
370	#6450	—	2	1	no	—
371	#6450	—	2	1	no	—
372	#6448	—	2	1	no	—
373	#6448	—	2	1	no	—
374	#6448	—	2	1	no	—
375	#6446	—	2	1	no	—
376	#6446	—	2	1	no	—
377	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
378	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
379	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
380	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
381	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
382	#6442	—	2	1	no	—
383	#6442	—	2	1	no	—
384	#6442	—	2	1	no	—
385	#6441	—	2	1	no	—
386	#6441	—	2	1	no	—
387	#6441	—	2	1	no	—
388	#6441	—	2	1	no	—
389	#6440	—	2	1	no	—
390	#6440	—	2	1	no	—
391	#6440	—	2	1	no	—
392	#6439	—	2	1	no	—
393	#6438	C₂³	1	1	yes	characteristic
394	#6438	C₂³	1	1	yes	characteristic
395	C₄×D₂₈	C₂³	1	1	yes	characteristic
396	C₄×D₂₈	C₂³	1	1	yes	characteristic
397	#6435	—	2	1	no	—
398	#6433	C₂³	1	1	yes	characteristic
399	#6433	C₂³	1	1	yes	characteristic
400	#6432	C₂³	1	1	yes	characteristic
401	#6432	C₂³	1	1	yes	characteristic
402	C₄×Dic₁₄	—	2	1	no	—
403	C₄×Dic₁₄	—	2	1	no	—
404	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
406	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
407	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
408	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
412	#6409	C₂³	1	1	yes	characteristic
413	#6409	C₂³	1	1	yes	characteristic
414	#6409	C₂³	1	1	yes	characteristic
415	#6409	C₂³	1	1	yes	characteristic
416	#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	#6384	C₂³	1	1	yes	characteristic
439	#6384	C₂³	1	1	yes	characteristic
440	#6384	C₂³	1	1	yes	characteristic
441	#6384	C₂³	1	1	yes	characteristic
442	#6384	C₂³	1	1	yes	characteristic
443	#6384	C₂³	1	1	yes	characteristic
444	#6384	C₂³	1	1	yes	characteristic
445	#6384	C₂³	1	1	yes	characteristic
446	#6383	C₂³	1	1	yes	characteristic
447	#6383	C₂³	1	1	yes	characteristic
448	#6383	C₂³	1	1	yes	characteristic
449	#6383	C₂³	1	1	yes	characteristic
450	#6382	C₂³	1	1	yes	characteristic
451	#6382	C₂³	1	1	yes	characteristic
452	#6382	C₂³	1	1	yes	characteristic
453	#6382	C₂³	1	1	yes	characteristic
454	#6382	C₂³	1	1	yes	characteristic
455	#6382	C₂³	1	1	yes	characteristic
456	#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	#6381	C₂³	1	1	yes	characteristic
464	#6381	C₂³	1	1	yes	characteristic
465	#6381	C₂³	1	1	yes	characteristic
466	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
467	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
468	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
469	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
470	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
471	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
472	#6377	C₂³	1	1	yes	characteristic
473	#6377	C₂³	1	1	yes	characteristic
474	#6377	C₂³	1	1	yes	characteristic
475	#6377	C₂³	1	1	yes	characteristic
476	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
477	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
480	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
481	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
482	#3516	—	7	1	no	—
483	#3516	D₇	1	1	yes	characteristic, complemented
484	#3393	—	7	1	no	—
485	#3383	—	7	1	no	—
486	#3377	—	7	1	no	—
487	#3377	—	7	1	no	—
488	#3339	—	7	1	no	—
489	#3338	—	7	1	no	—
490	#3336	—	7	1	no	—
491	#3327	—	7	1	no	—
492	#3327	—	7	1	no	—
493	#3320	—	7	1	no	—
494	#3320	—	7	1	no	—
495	#3316	—	7	1	no	—
496	#3316	—	7	1	no	—
497	D₄×Q₁₆	—	7	1	no	—
498	#3285	—	7	1	no	—
499	#3285	—	7	1	no	—
500	#3177	—	7	1	no	—
501	#3175	—	7	1	no	—
502	#3168	—	7	1	no	—
503	#3121	—	7	1	no	—
504	#3121	—	7	1	no	—
505	#3120	—	7	1	no	—
506	#3120	—	7	1	no	—
507	#3117	—	7	1	no	—
508	#3117	—	7	1	no	—
509	#2966	—	7	1	no	—
510	#2951	—	7	1	no	—
511	#2950	—	7	1	no	—
512	C₂×C₄×Q₁₆	—	7	1	no	—
513	C₇×#41	—	2	2	no	—
514	C₇×#41	—	4	1	no	—
515	C₂×C₇×Q₈	—	2	1	no	—
516	C₂×C₇×Q₈	—	2	1	no	—
517	C₂×C₇×Q₈	—	2	1	no	—
518	C₂×C₇×Q₈	—	2	2	no	—
519	C₂×C₇×Q₈	—	2	2	no	—
520	C₂×C₇×Q₈	—	4	1	no	—
521	C₂×C₇×Q₈	—	4	1	no	—
522	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
523	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
526	C₂×C₇×D₄	—	2	1	no	—
527	C₂×C₇×D₄	—	2	1	no	—
528	C₂×C₇×D₄	—	2	1	no	—
529	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
530	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
531	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
532	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
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	C₂²×Dic₇	—	2	1	no	—
549	C₂²×Dic₇	—	2	1	no	—
550	C₂²×Dic₇	—	2	1	no	—
551	C₂²×Dic₇	—	2	1	no	—
552	#1157	—	2	2	no	—
553	#1157	—	4	1	no	—
554	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₇	—	2	1	no	—
556	C₂×C₄×D₇	—	2	1	no	—
557	C₂×C₄×D₇	—	2	1	no	—
558	C₂×Dic₁₄	—	2	2	no	—
559	C₂×Dic₁₄	—	2	2	no	—
560	C₂×Dic₁₄	—	2	1	no	—
561	C₂×Dic₁₄	—	2	1	no	—
562	C₂×Dic₁₄	—	2	1	no	—
563	C₂×Dic₁₄	—	4	1	no	—
564	C₂×Dic₁₄	—	4	1	no	—
565	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
567	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
568	C₇×C₄⋊C₄	—	2	1	no	—
569	C₇×C₄⋊C₄	—	2	1	no	—
570	C₇×C₄⋊C₄	—	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	—	2	1	no	—
588	C₇×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
598	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
617	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₇	—	2	1	no	—
627	C₄²×C₇	—	2	1	no	—
628	C₄²×C₇	—	2	1	no	—
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	C₂²⋊Dic₇	—	2	1	no	—
646	#1144	—	2	2	no	—
647	#1144	—	2	2	no	—
648	#1144	—	2	2	no	—
649	#1144	—	2	2	no	—
650	#1144	—	2	2	no	—
651	#1144	—	2	2	no	—
652	#1144	—	4	1	no	—
653	#1144	—	4	1	no	—
654	#1144	#41	1	4	yes	—
655	#1143	—	2	2	no	—
656	#1143	—	4	1	no	—
657	#1143	—	4	1	no	—
658	#1142	—	2	2	no	—
659	#1142	—	4	1	no	—
660	#1142	—	4	1	no	—
661	#1141	—	2	2	no	—
662	(C₂×D₇)⋊C₄	—	2	1	no	—
663	(C₂×D₇)⋊C₄	—	2	1	no	—
664	(C₂×D₇)⋊C₄	—	2	1	no	—
665	(C₂×D₇)⋊C₄	—	2	1	no	—
666	(C₂×D₇)⋊C₄	—	2	1	no	—
667	(C₂×D₇)⋊C₄	—	2	1	no	—
668	(C₂×D₇)⋊C₄	—	2	1	no	—
669	(C₂×D₇)⋊C₄	—	2	1	no	—
670	C₄⋊Dic₇	—	2	1	no	—
671	C₄⋊Dic₇	—	2	1	no	—
672	C₄⋊Dic₇	—	2	1	no	—
673	C₄⋊Dic₇	—	2	1	no	—
674	C₄⋊Dic₇	—	2	1	no	—
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	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
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	Dic₇⋊C₄	—	2	1	no	—
687	Dic₇⋊C₄	—	2	1	no	—
688	Dic₇⋊C₄	—	2	1	no	—
689	Dic₇⋊C₄	—	2	1	no	—
690	Dic₇⋊C₄	—	2	1	no	—
691	Dic₇⋊C₄	—	2	1	no	—
692	Dic₇⋊C₄	—	2	1	no	—
693	Dic₇⋊C₄	—	2	1	no	—
694	Dic₇⋊C₄	—	2	1	no	—
695	C₄×Dic₇	—	2	1	no	—
696	C₄×Dic₇	—	2	1	no	—
697	C₄×Dic₇	—	2	1	no	—
698	C₄×Dic₇	—	2	1	no	—
699	C₄×Dic₇	—	2	1	no	—
700	C₄×Dic₇	—	2	1	no	—
701	C₄×Dic₇	—	2	1	no	—
702	C₄×Dic₇	—	2	1	no	—
703	C₄×Dic₇	—	2	1	no	—
704	#1136	—	4	1	no	—
705	#1136	—	4	1	no	—
706	C₂×C₇⋊C₈	—	2	2	no	—
707	C₂×C₇⋊C₈	—	2	2	no	—
708	C₂×C₇⋊C₈	—	2	2	no	—
709	C₂×C₇⋊C₈	—	4	1	no	—
710	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
711	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
712	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
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×#135	—	7	1	no	—
719	C₂²×Q₁₆	—	7	1	no	—
720	C₂²×Q₁₆	—	7	1	no	—
721	#557	—	7	1	no	—
722	#557	C₂×D₇	1	1	yes	characteristic
723	#556	—	2	1	no	—
724	#556	—	7	1	no	—
725	#556	—	14	1	no	—
726	#556	C₂×D₇	1	1	yes	characteristic
727	#554	—	2	1	no	—
728	#554	—	7	1	no	—
729	#554	—	14	1	no	—
730	#554	C₂×D₇	1	1	yes	characteristic
731	#553	—	2	1	no	—
732	#553	—	7	1	no	—
733	#553	—	14	1	no	—
734	#553	C₂×D₇	1	1	yes	characteristic
735	#552	—	2	1	no	—
736	#552	—	7	1	no	—
737	#552	—	14	1	no	—
738	#552	C₂×D₇	1	1	yes	characteristic
739	D₄×Q₈	—	7	1	no	—
740	D₄×Q₈	C₂×D₇	1	1	yes	characteristic
741	#548	—	7	1	no	—
742	#548	—	7	1	no	—
743	#548	C₂×D₇	1	1	yes	characteristic
744	#548	C₂×D₇	1	1	yes	characteristic
745	#542	—	2	1	no	—
746	#542	—	7	1	no	—
747	#542	—	14	1	no	—
748	#542	C₂×D₇	1	1	yes	characteristic
749	#541	—	2	1	no	—
750	#541	—	7	1	no	—
751	#541	—	14	1	no	—
752	#541	C₂×D₇	1	1	yes	characteristic
753	#529	—	2	1	no	—
754	#529	—	2	1	no	—
755	#529	—	7	1	no	—
756	#529	—	14	1	no	—
757	#529	—	14	1	no	—
758	#529	C₂×D₇	1	1	yes	characteristic
759	#529	C₂×D₇	1	1	yes	characteristic
760	#520	—	7	1	no	—
761	#520	C₂×D₇	1	1	yes	characteristic
762	#519	—	7	1	no	—
763	#519	C₂×D₇	1	1	yes	characteristic
764	C₂×C₄×Q₈	—	7	1	no	—
765	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic
766	#500	—	7	1	no	—
767	#499	—	7	1	no	—
768	#499	—	7	1	no	—
769	#495	—	7	1	no	—
770	#495	—	7	1	no	—
771	#494	—	7	1	no	—
772	#491	—	7	1	no	—
773	#491	—	7	1	no	—
774	#489	—	7	1	no	—
775	#489	—	7	1	no	—
776	#488	—	7	1	no	—
777	#488	—	7	1	no	—
778	#485	—	7	1	no	—
779	#485	—	7	1	no	—
780	#484	—	7	1	no	—
781	#484	—	7	1	no	—
782	#484	—	7	1	no	—
783	#484	—	7	1	no	—
784	#483	—	7	1	no	—
785	#483	—	7	1	no	—
786	#482	—	7	1	no	—
787	#482	—	7	1	no	—
788	#481	—	7	1	no	—
789	#481	—	7	1	no	—
790	#479	—	7	1	no	—
791	#479	—	7	1	no	—
792	#479	—	7	1	no	—
793	#479	—	7	1	no	—
794	#479	—	7	1	no	—
795	#479	—	7	1	no	—
796	#478	—	7	1	no	—
797	#478	—	7	1	no	—
798	#477	—	7	1	no	—
799	#477	—	7	1	no	—
800	#475	—	7	1	no	—
801	#475	—	7	1	no	—
802	#470	—	7	1	no	—
803	#470	—	7	1	no	—
804	#468	—	7	1	no	—
805	#468	—	7	1	no	—
806	#467	—	7	1	no	—
807	#467	—	7	1	no	—
808	#467	—	7	1	no	—
809	#467	—	7	1	no	—
810	#466	—	7	1	no	—
811	#466	—	7	1	no	—
812	#465	—	7	1	no	—
813	#465	—	7	1	no	—
814	#464	—	7	1	no	—
815	#464	—	7	1	no	—
816	#464	—	7	1	no	—
817	#464	—	7	1	no	—
818	#464	—	7	1	no	—
819	#464	—	7	1	no	—
820	#464	—	7	1	no	—
821	#464	—	7	1	no	—
822	#462	—	7	1	no	—
823	#462	—	7	1	no	—
824	#461	—	7	1	no	—
825	#461	—	7	1	no	—
826	#452	—	7	1	no	—
827	#452	—	7	1	no	—
828	#452	—	7	1	no	—
829	#452	—	7	1	no	—
830	#451	—	7	1	no	—
831	#451	—	7	1	no	—
832	#451	—	7	1	no	—
833	#451	—	7	1	no	—
834	#448	—	7	1	no	—
835	#448	—	7	1	no	—
836	#448	—	7	1	no	—
837	#448	—	7	1	no	—
838	#446	—	7	1	no	—
839	C₈×Q₈	—	7	1	no	—
840	#441	—	7	1	no	—
841	#441	—	7	1	no	—
842	#441	—	7	1	no	—
843	#441	—	7	1	no	—
844	#441	—	7	1	no	—
845	#441	—	7	1	no	—
846	#440	—	7	1	no	—
847	#440	—	7	1	no	—
848	#440	—	7	1	no	—
849	#440	—	7	1	no	—
850	#440	—	7	1	no	—
851	#440	—	7	1	no	—
852	C₄×Q₁₆	—	7	1	no	—
853	C₄×Q₁₆	—	7	1	no	—
854	C₄×Q₁₆	—	7	1	no	—
855	C₄×Q₁₆	—	7	1	no	—
856	C₄×Q₁₆	—	7	1	no	—
857	C₄×Q₁₆	—	7	1	no	—
858	C₄×Q₁₆	—	7	1	no	—
859	C₄×Q₁₆	—	7	1	no	—
860	C₄×Q₁₆	—	7	1	no	—
861	C₄×Q₁₆	—	7	1	no	—
862	C₄×Q₁₆	—	7	1	no	—
863	C₄×Q₁₆	—	7	1	no	—
864	C₄×SD₁₆	—	7	1	no	—
865	C₄×SD₁₆	—	7	1	no	—
866	C₄×D₈	—	7	1	no	—
867	C₄×D₈	—	7	1	no	—
868	#436	—	7	1	no	—
869	#435	—	7	1	no	—
870	#435	—	7	1	no	—
871	C₈×D₄	—	7	1	no	—
872	C₈×D₄	—	7	1	no	—
873	C₈×D₄	—	7	1	no	—
874	#433	—	7	1	no	—
875	#433	—	7	1	no	—
876	#432	—	7	1	no	—
877	#427	—	7	1	no	—
878	C₂×#107	—	7	1	no	—
879	C₂×#107	—	7	1	no	—
880	#419	—	7	1	no	—
881	#419	—	7	1	no	—
882	#417	—	7	1	no	—
883	#417	—	7	1	no	—
884	C₂×#103	—	7	1	no	—
885	C₂×#103	—	7	1	no	—
886	#405	—	7	1	no	—
887	#405	—	7	1	no	—
888	C₂×C₄×C₈	—	7	1	no	—
889	C₂³×C₇	—	2	1	no	—
890	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
891	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
892	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
893	C₂²×D₇	—	2	1	no	—
894	C₇×Q₈	—	2	1	no	—
895	C₇×Q₈	—	2	1	no	—
896	C₇×Q₈	—	2	1	no	—
897	C₇×Q₈	—	2	1	no	—
898	C₇×Q₈	—	2	1	no	—
899	C₇×Q₈	—	4	1	no	—
900	C₇×Q₈	—	4	2	no	—
901	C₇×Q₈	—	4	2	no	—
902	C₇×Q₈	—	8	1	no	—
903	C₇×Q₈	C₂×#41	1	2	yes	—
904	C₇×D₄	—	2	2	no	—
905	C₇×D₄	—	2	2	no	—
906	C₇×D₄	—	2	1	no	—
907	C₇×D₄	—	2	1	no	—
908	C₇×D₄	—	4	1	no	—
909	C₇×D₄	—	4	2	no	—
910	C₇×D₄	—	4	2	no	—
911	C₇×D₄	—	8	1	no	—
912	C₂×C₄×C₇	—	2	2	no	—
913	C₂×C₄×C₇	—	2	1	no	—
914	C₂×C₄×C₇	—	2	1	no	—
915	C₂×C₄×C₇	—	2	1	no	—
916	C₂×C₄×C₇	—	2	1	no	—
917	C₂×C₄×C₇	—	2	1	no	—
918	C₂×C₄×C₇	—	2	1	no	—
919	C₂×C₄×C₇	—	2	1	no	—
920	C₂×C₄×C₇	—	2	1	no	—
921	C₂×C₄×C₇	—	2	1	no	—
922	C₂×C₄×C₇	—	2	1	no	—
923	C₂×C₄×C₇	—	2	1	no	—
924	C₂×C₄×C₇	—	2	1	no	—
925	C₂×C₄×C₇	—	2	1	no	—
926	C₂×C₄×C₇	—	4	1	no	—
927	C₂×C₄×C₇	—	4	2	no	—
928	C₂×C₄×C₇	—	4	2	no	—
929	C₂×C₄×C₇	—	4	2	no	—
930	C₂×C₄×C₇	—	8	1	no	—
931	C₂×C₄×C₇	—	8	1	no	—
932	C₂×C₄×C₇	—	8	1	no	—
933	C₂×C₄×C₇	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
938	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
939	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
940	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
941	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
942	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
943	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
944	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
945	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
946	C₂²⋊D₇	—	4	2	no	—
947	C₂²⋊D₇	—	4	2	no	—
948	C₂²⋊D₇	—	8	1	no	—
949	C₂×Dic₇	—	2	1	no	—
950	C₂×Dic₇	—	2	1	no	—
951	C₂×Dic₇	—	2	1	no	—
952	C₂×Dic₇	—	2	1	no	—
953	C₂×Dic₇	—	2	1	no	—
954	C₂×Dic₇	—	2	1	no	—
955	C₂×Dic₇	—	2	1	no	—
956	C₂×Dic₇	—	4	2	no	—
957	C₂×Dic₇	—	4	2	no	—
958	C₂×Dic₇	—	8	1	no	—
959	C₂×Dic₇	—	8	1	no	—
960	D₂₈	—	2	1	no	—
961	D₂₈	—	2	1	no	—
962	C₄×D₇	—	4	2	no	—
963	C₄×D₇	—	8	1	no	—
964	C₄×D₇	—	8	1	no	—
965	Dic₁₄	—	2	1	no	—
966	Dic₁₄	—	2	1	no	—
967	Dic₁₄	—	2	1	no	—
968	Dic₁₄	—	2	1	no	—
969	Dic₁₄	—	2	1	no	—
970	Dic₁₄	—	4	2	no	—
971	Dic₁₄	—	4	2	no	—
972	Dic₁₄	—	8	1	no	—
973	Dic₁₄	C₂×#41	1	2	yes	—
974	C₇⋊C₈	—	2	1	no	—
975	C₇⋊C₈	—	2	1	no	—
976	C₇⋊C₈	—	2	1	no	—
977	C₇⋊C₈	—	2	1	no	—
978	C₇⋊C₈	—	2	1	no	—
979	C₇⋊C₈	—	2	1	no	—
980	C₇⋊C₈	—	2	1	no	—
981	C₇⋊C₈	C₂×#41	1	2	yes	—
982	C₂×#41	—	7	1	no	—
983	C₂×#41	C₂²×D₇	1	1	yes	characteristic
984	C₂²×Q₈	—	7	1	no	—
985	C₂²×Q₈	—	7	1	no	—
986	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
987	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
988	#135	—	14	4	no	—
989	C₂×Q₁₆	—	7	1	no	—
990	C₂×Q₁₆	—	7	1	no	—
991	C₂×Q₁₆	—	7	1	no	—
992	C₂×Q₁₆	—	7	1	no	—
993	C₂×Q₁₆	—	7	1	no	—
994	C₂×Q₁₆	—	7	1	no	—
995	C₂×Q₁₆	—	7	1	no	—
996	C₂×Q₁₆	—	7	1	no	—
997	C₂×Q₁₆	—	7	1	no	—
998	C₂×Q₁₆	—	14	4	no	—
999	C₂×Q₁₆	—	14	4	no	—
1000	C₂×SD₁₆	—	7	1	no	—
1001	C₂×SD₁₆	—	7	1	no	—
1002	C₂×SD₁₆	—	7	1	no	—
1003	C₂×SD₁₆	—	7	1	no	—
1004	C₂×SD₁₆	—	7	1	no	—
1005	C₂×SD₁₆	—	7	1	no	—
1006	C₂×D₈	—	7	1	no	—
1007	C₂×M₁₆	—	7	1	no	—
1008	C₂×M₁₆	—	7	1	no	—
1009	C₂²×C₈	—	7	1	no	—
1010	C₂²×C₈	—	7	1	no	—
1011	C₂²×C₈	—	7	1	no	—
1012	C₂²×C₈	—	7	1	no	—
1013	C₄⋊Q₈	—	2	1	no	—
1014	C₄⋊Q₈	—	2	1	no	—
1015	C₄⋊Q₈	—	7	1	no	—
1016	C₄⋊Q₈	—	7	1	no	—
1017	C₄⋊Q₈	—	14	1	no	—
1018	C₄⋊Q₈	—	14	1	no	—
1019	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1020	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1021	#126	—	2	1	no	—
1022	#126	—	2	1	no	—
1023	#126	—	2	1	no	—
1024	#126	—	2	1	no	—
1025	#126	—	2	1	no	—
1026	#126	—	2	1	no	—
1027	#126	—	2	1	no	—
1028	#126	—	2	1	no	—
1029	#126	—	14	1	no	—
1030	#126	—	14	1	no	—
1031	#126	—	14	1	no	—
1032	#126	—	14	1	no	—
1033	#126	—	14	1	no	—
1034	#126	—	14	1	no	—
1035	#126	—	14	1	no	—
1036	#126	—	14	1	no	—
1037	#126	C₂²⋊D₇	1	1	yes	characteristic
1038	#126	C₂²⋊D₇	1	1	yes	characteristic
1039	#125	—	2	1	no	—
1040	#125	—	2	1	no	—
1041	#125	—	2	1	no	—
1042	#125	—	2	1	no	—
1043	#125	—	2	1	no	—
1044	#125	—	2	1	no	—
1045	#125	—	7	1	no	—
1046	#125	—	7	1	no	—
1047	#125	—	14	1	no	—
1048	#125	—	14	1	no	—
1049	#125	—	14	1	no	—
1050	#125	—	14	1	no	—
1051	#125	—	14	1	no	—
1052	#125	—	14	1	no	—
1053	#125	C₂²⋊D₇	1	1	yes	characteristic
1054	#125	C₂²×D₇	1	1	yes	characteristic
1055	#125	C₂²×D₇	1	1	yes	characteristic
1056	#124	—	2	1	no	—
1057	#124	—	2	1	no	—
1058	#124	—	2	1	no	—
1059	#124	—	7	1	no	—
1060	#124	—	7	1	no	—
1061	#124	—	14	1	no	—
1062	#124	—	14	1	no	—
1063	#124	—	14	1	no	—
1064	#124	C₂²⋊D₇	1	1	yes	characteristic
1065	#124	C₂²×D₇	1	1	yes	characteristic
1066	#124	C₂²×D₇	1	1	yes	characteristic
1067	#123	—	2	1	no	—
1068	#123	—	2	1	no	—
1069	#123	—	2	1	no	—
1070	#123	—	2	1	no	—
1071	#123	—	14	1	no	—
1072	#123	—	14	1	no	—
1073	#123	—	14	1	no	—
1074	#123	—	14	1	no	—
1075	#123	C₂²⋊D₇	1	1	yes	characteristic
1076	#123	C₂²⋊D₇	1	1	yes	characteristic
1077	C₂²⋊Q₈	—	2	1	no	—
1078	C₂²⋊Q₈	—	2	1	no	—
1079	C₂²⋊Q₈	—	2	1	no	—
1080	C₂²⋊Q₈	—	2	1	no	—
1081	C₂²⋊Q₈	—	2	1	no	—
1082	C₂²⋊Q₈	—	2	1	no	—
1083	C₂²⋊Q₈	—	2	1	no	—
1084	C₂²⋊Q₈	—	2	1	no	—
1085	C₂²⋊Q₈	—	7	1	no	—
1086	C₂²⋊Q₈	—	7	1	no	—
1087	C₂²⋊Q₈	—	7	1	no	—
1088	C₂²⋊Q₈	—	7	1	no	—
1089	C₂²⋊Q₈	—	14	1	no	—
1090	C₂²⋊Q₈	—	14	1	no	—
1091	C₂²⋊Q₈	—	14	1	no	—
1092	C₂²⋊Q₈	—	14	1	no	—
1093	C₂²⋊Q₈	—	14	1	no	—
1094	C₂²⋊Q₈	—	14	1	no	—
1095	C₂²⋊Q₈	—	14	1	no	—
1096	C₂²⋊Q₈	—	14	1	no	—
1097	C₂²⋊Q₈	C₂²⋊D₇	1	1	yes	characteristic
1098	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1099	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1100	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1101	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1102	#121	—	2	1	no	—
1103	#121	—	2	1	no	—
1104	#121	—	2	1	no	—
1105	#121	—	7	1	no	—
1106	#121	—	7	1	no	—
1107	#121	—	14	1	no	—
1108	#121	—	14	1	no	—
1109	#121	—	14	1	no	—
1110	#121	C₂²⋊D₇	1	1	yes	characteristic
1111	#121	C₂²×D₇	1	1	yes	characteristic
1112	#121	C₂²×D₇	1	1	yes	characteristic
1113	C₄×Q₈	—	2	1	no	—
1114	C₄×Q₈	—	2	1	no	—
1115	C₄×Q₈	—	2	1	no	—
1116	C₄×Q₈	—	2	1	no	—
1117	C₄×Q₈	—	2	1	no	—
1118	C₄×Q₈	—	7	1	no	—
1119	C₄×Q₈	—	7	1	no	—
1120	C₄×Q₈	—	7	1	no	—
1121	C₄×Q₈	—	7	1	no	—
1122	C₄×Q₈	—	7	1	no	—
1123	C₄×Q₈	—	7	1	no	—
1124	C₄×Q₈	—	7	1	no	—
1125	C₄×Q₈	—	7	1	no	—
1126	C₄×Q₈	—	14	1	no	—
1127	C₄×Q₈	—	14	1	no	—
1128	C₄×Q₈	—	14	1	no	—
1129	C₄×Q₈	—	14	1	no	—
1130	C₄×Q₈	—	14	1	no	—
1131	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1132	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1133	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1134	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1135	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1136	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1137	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1138	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1139	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1140	C₄×D₄	—	2	1	no	—
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	2	1	no	—
1143	C₄×D₄	—	2	1	no	—
1144	C₄×D₄	—	2	1	no	—
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	—	2	1	no	—
1147	C₄×D₄	—	2	1	no	—
1148	C₄×D₄	—	7	1	no	—
1149	C₄×D₄	—	7	1	no	—
1150	C₄×D₄	—	14	1	no	—
1151	C₄×D₄	—	14	1	no	—
1152	C₄×D₄	—	14	1	no	—
1153	C₄×D₄	—	14	1	no	—
1154	C₄×D₄	—	14	1	no	—
1155	C₄×D₄	—	14	1	no	—
1156	C₄×D₄	—	14	1	no	—
1157	C₄×D₄	—	14	1	no	—
1158	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1159	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1160	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1161	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1162	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1163	#117	—	2	1	no	—
1164	#117	—	2	1	no	—
1165	#117	—	2	1	no	—
1166	#117	—	2	1	no	—
1167	#117	—	2	1	no	—
1168	#117	—	2	1	no	—
1169	#117	—	7	1	no	—
1170	#117	—	14	1	no	—
1171	#117	—	14	1	no	—
1172	#117	—	14	1	no	—
1173	#117	—	14	1	no	—
1174	#117	—	14	1	no	—
1175	#117	—	14	1	no	—
1176	#117	C₂²×D₇	1	1	yes	characteristic
1177	#117	C₂²×D₇	1	1	yes	characteristic
1178	#117	C₂²×D₇	1	1	yes	characteristic
1179	C₂×C₄⋊C₄	—	2	1	no	—
1180	C₂×C₄⋊C₄	—	2	1	no	—
1181	C₂×C₄⋊C₄	—	7	1	no	—
1182	C₂×C₄⋊C₄	—	7	1	no	—
1183	C₂×C₄⋊C₄	—	14	1	no	—
1184	C₂×C₄⋊C₄	—	14	1	no	—
1185	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1186	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1187	C₂×C₄²	—	2	1	no	—
1188	C₂×C₄²	—	14	1	no	—
1189	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1190	#107	—	7	1	no	—
1191	#107	—	7	1	no	—
1192	#107	—	7	1	no	—
1193	#107	—	7	1	no	—
1194	#107	—	7	1	no	—
1195	#107	—	7	1	no	—
1196	#107	—	7	1	no	—
1197	#107	—	7	1	no	—
1198	#107	—	7	1	no	—
1199	#107	—	7	1	no	—
1200	#106	—	7	1	no	—
1201	#106	—	7	1	no	—
1202	#106	—	7	1	no	—
1203	#106	—	7	1	no	—
1204	#106	—	7	1	no	—
1205	#106	—	7	1	no	—
1206	C₄⋊C₈	—	7	1	no	—
1207	C₄⋊C₈	—	7	1	no	—
1208	C₄⋊C₈	—	7	1	no	—
1209	C₄⋊C₈	—	7	1	no	—
1210	C₄⋊C₈	—	7	1	no	—
1211	C₄⋊C₈	—	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	#103	—	7	1	no	—
1221	#103	—	7	1	no	—
1222	#103	—	7	1	no	—
1223	#103	—	7	1	no	—
1224	#103	—	7	1	no	—
1225	#103	—	7	1	no	—
1226	#103	—	7	1	no	—
1227	#103	—	7	1	no	—
1228	#103	—	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	#102	—	7	1	no	—
1237	#102	—	7	1	no	—
1238	#102	—	7	1	no	—
1239	#102	—	7	1	no	—
1240	#102	—	7	1	no	—
1241	#102	—	7	1	no	—
1242	#102	—	7	1	no	—
1243	#102	—	7	1	no	—
1244	C₂²⋊C₈	—	7	1	no	—
1245	C₂²⋊C₈	—	7	1	no	—
1246	C₂²⋊C₈	—	7	1	no	—
1247	C₂²⋊C₈	—	7	1	no	—
1248	C₂²⋊C₈	—	7	1	no	—
1249	C₂²⋊C₈	—	7	1	no	—
1250	#97	—	7	1	no	—
1251	#97	—	7	1	no	—
1252	#97	—	7	1	no	—
1253	#97	—	7	1	no	—
1254	C₄×C₈	—	7	1	no	—
1255	C₄×C₈	—	7	1	no	—
1256	C₄×C₈	—	7	1	no	—
1257	C₄×C₈	—	7	1	no	—
1258	C₄×C₈	—	7	1	no	—
1259	C₄×C₈	—	7	1	no	—
1260	C₂²×C₇	—	2	1	no	—
1261	C₂²×C₇	—	2	1	no	—
1262	C₂²×C₇	—	2	1	no	—
1263	C₂²×C₇	—	2	1	no	—
1264	C₂²×C₇	—	2	1	no	—
1265	C₂²×C₇	—	2	1	no	—
1266	C₂²×C₇	—	2	1	no	—
1267	C₂²×C₇	—	2	1	no	—
1268	C₂²×C₇	—	4	1	no	—
1269	C₂²×C₇	—	4	1	no	—
1270	C₂²×C₇	—	4	1	no	—
1271	C₂²×C₇	#578	1	2	yes	—
1272	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1273	C₂×D₇	—	4	1	no	—
1274	C₂×D₇	—	4	1	no	—
1275	C₂×D₇	—	4	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	2	no	—
1284	C₄×C₇	—	2	1	no	—
1285	C₄×C₇	—	2	1	no	—
1286	C₄×C₇	—	2	1	no	—
1287	C₄×C₇	—	2	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	—	4	1	no	—
1293	C₄×C₇	—	4	1	no	—
1294	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1295	C₄×C₇	#585	1	1	yes	characteristic
1296	Dic₇	—	2	2	no	—
1297	Dic₇	—	4	1	no	—
1298	Dic₇	—	4	1	no	—
1299	Dic₇	—	4	1	no	—
1300	Dic₇	—	4	1	no	—
1301	Dic₇	—	4	1	no	—
1302	Dic₇	—	4	1	no	—
1303	#41	—	2	2	no	—
1304	#41	—	4	1	no	—
1305	#41	—	14	2	no	—
1306	#41	—	28	1	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	2	1	no	—
1309	C₂×Q₈	—	2	1	no	—
1310	C₂×Q₈	—	2	2	no	—
1311	C₂×Q₈	—	2	2	no	—
1312	C₂×Q₈	—	4	1	no	—
1313	C₂×Q₈	—	4	1	no	—
1314	C₂×Q₈	—	7	1	no	—
1315	C₂×Q₈	—	7	1	no	—
1316	C₂×Q₈	—	7	1	no	—
1317	C₂×Q₈	—	14	2	no	—
1318	C₂×Q₈	—	14	2	no	—
1319	C₂×Q₈	—	14	1	no	—
1320	C₂×Q₈	—	14	1	no	—
1321	C₂×Q₈	—	14	1	no	—
1322	C₂×Q₈	—	28	1	no	—
1323	C₂×Q₈	—	28	1	no	—
1324	C₂×Q₈	C₂×C₂²⋊D₇	1	1	yes	characteristic
1325	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1326	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1327	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	—	2	1	no	—
1331	C₂×D₄	—	7	1	no	—
1332	C₂×D₄	—	14	1	no	—
1333	C₂×D₄	—	14	1	no	—
1334	C₂×D₄	—	14	1	no	—
1335	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1336	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1337	C₂×D₄	C₂×C₂²⋊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	—	14	1	no	—
1347	C₂²×C₄	—	14	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	C₂×C₂²⋊D₇	1	1	yes	characteristic
1354	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1355	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1356	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1357	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1358	Q₁₆	—	7	4	no	—
1359	Q₁₆	—	14	2	no	—
1360	Q₁₆	—	14	2	no	—
1361	Q₁₆	—	14	2	no	—
1362	Q₁₆	—	14	2	no	—
1363	Q₁₆	—	14	2	no	—
1364	Q₁₆	—	14	2	no	—
1365	Q₁₆	—	28	1	no	—
1366	Q₁₆	—	28	1	no	—
1367	SD₁₆	—	14	2	no	—
1368	SD₁₆	—	14	2	no	—
1369	SD₁₆	—	28	1	no	—
1370	SD₁₆	—	28	1	no	—
1371	SD₁₆	—	28	1	no	—
1372	SD₁₆	—	28	1	no	—
1373	D₈	—	14	2	no	—
1374	M₁₆	—	28	1	no	—
1375	M₁₆	—	28	1	no	—
1376	C₂×C₈	—	7	1	no	—
1377	C₂×C₈	—	7	1	no	—
1378	C₂×C₈	—	7	1	no	—
1379	C₂×C₈	—	7	1	no	—
1380	C₂×C₈	—	7	1	no	—
1381	C₂×C₈	—	7	1	no	—
1382	C₂×C₈	—	7	1	no	—
1383	C₂×C₈	—	7	1	no	—
1384	C₂×C₈	—	14	2	no	—
1385	C₂×C₈	—	14	2	no	—
1386	C₂×C₈	—	14	2	no	—
1387	C₂×C₈	—	28	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	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	7	1	no	—
1410	C₄⋊C₄	—	7	1	no	—
1411	C₄⋊C₄	—	7	1	no	—
1412	C₄⋊C₄	—	7	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	—	14	1	no	—
1421	C₄⋊C₄	—	14	1	no	—
1422	C₄⋊C₄	—	14	1	no	—
1423	C₄⋊C₄	—	14	1	no	—
1424	C₄⋊C₄	—	14	1	no	—
1425	C₄⋊C₄	—	14	1	no	—
1426	C₄⋊C₄	—	14	1	no	—
1427	C₄⋊C₄	—	14	1	no	—
1428	C₄⋊C₄	—	14	1	no	—
1429	C₄⋊C₄	—	14	1	no	—
1430	C₄⋊C₄	—	14	1	no	—
1431	C₄⋊C₄	—	14	1	no	—
1432	C₄⋊C₄	—	14	1	no	—
1433	C₄⋊C₄	—	14	1	no	—
1434	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1435	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1436	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1437	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1438	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1439	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1440	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1441	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1442	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1443	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1444	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1445	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1446	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1447	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
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	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	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	—	14	1	no	—
1469	C₂²⋊C₄	—	14	1	no	—
1470	C₂²⋊C₄	—	14	1	no	—
1471	C₂²⋊C₄	—	14	1	no	—
1472	C₂²⋊C₄	—	14	1	no	—
1473	C₂²⋊C₄	—	14	1	no	—
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	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1479	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1480	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1481	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1482	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1483	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	14	1	no	—
1494	C₄²	—	14	1	no	—
1495	C₄²	—	14	1	no	—
1496	C₄²	—	14	1	no	—
1497	C₄²	—	14	1	no	—
1498	C₄²	—	14	1	no	—
1499	C₄²	—	14	1	no	—
1500	C₄²	—	14	1	no	—
1501	C₄²	—	14	1	no	—
1502	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1503	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1504	C₄²	C₂³×D₇	1	1	yes	characteristic
1505	C₄²	C₂³×D₇	1	1	yes	characteristic
1506	C₄²	C₂³×D₇	1	1	yes	characteristic
1507	C₄²	C₂³×D₇	1	1	yes	characteristic
1508	C₂×C₇	—	2	2	no	—
1509	C₂×C₇	—	4	1	no	—
1510	C₂×C₇	—	4	1	no	—
1511	C₂×C₇	—	8	1	no	—
1512	C₂×C₇	D₄×#41	1	1	yes	characteristic
1513	C₂×C₇	C₂×#578	1	1	yes	characteristic
1514	C₂×C₇	#3584	1	1	yes	characteristic
1515	D₇	—	8	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	14	1	no	—
1518	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1519	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1520	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	2	1	no	—
1525	Q₈	—	2	1	no	—
1526	Q₈	—	4	1	no	—
1527	Q₈	—	4	2	no	—
1528	Q₈	—	4	2	no	—
1529	Q₈	—	7	2	no	—
1530	Q₈	—	8	1	no	—
1531	Q₈	—	14	1	no	—
1532	Q₈	—	14	1	no	—
1533	Q₈	—	14	1	no	—
1534	Q₈	—	14	1	no	—
1535	Q₈	—	14	1	no	—
1536	Q₈	—	28	2	no	—
1537	Q₈	—	28	2	no	—
1538	Q₈	—	56	1	no	—
1539	Q₈	D₇×#41	1	2	yes	—
1540	D₄	—	2	2	no	—
1541	D₄	—	2	2	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	4	1	no	—
1545	D₄	—	4	2	no	—
1546	D₄	—	4	2	no	—
1547	D₄	—	8	1	no	—
1548	D₄	—	14	1	no	—
1549	D₄	—	14	1	no	—
1550	D₄	—	28	2	no	—
1551	D₄	—	28	2	no	—
1552	D₄	—	56	1	no	—
1553	C₂×C₄	—	2	2	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	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	4	1	no	—
1568	C₂×C₄	—	4	2	no	—
1569	C₂×C₄	—	4	2	no	—
1570	C₂×C₄	—	4	2	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	—	8	1	no	—
1574	C₂×C₄	—	8	1	no	—
1575	C₂×C₄	—	14	1	no	—
1576	C₂×C₄	—	14	1	no	—
1577	C₂×C₄	—	14	1	no	—
1578	C₂×C₄	—	14	1	no	—
1579	C₂×C₄	—	14	1	no	—
1580	C₂×C₄	—	14	1	no	—
1581	C₂×C₄	—	14	1	no	—
1582	C₂×C₄	—	28	2	no	—
1583	C₂×C₄	—	28	2	no	—
1584	C₂×C₄	—	28	2	no	—
1585	C₂×C₄	—	56	1	no	—
1586	C₂×C₄	—	56	1	no	—
1587	C₂×C₄	—	56	1	no	—
1588	C₂×C₄	—	56	1	no	—
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	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1598	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1599	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1600	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1601	C₈	—	7	2	no	—
1602	C₈	—	14	1	no	—
1603	C₈	—	14	1	no	—
1604	C₈	—	14	1	no	—
1605	C₈	—	14	1	no	—
1606	C₈	—	14	1	no	—
1607	C₈	—	14	1	no	—
1608	C₈	—	14	1	no	—
1609	C₇	#61473	1	1	yes	characteristic, complemented, Sylow
1610	C₂²	—	2	1	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	—	2	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	28	1	no	—
1622	C₂²	—	28	1	no	—
1623	C₂²	—	28	1	no	—
1624	C₂²	#90529	1	2	yes	—
1625	C₂²	C₂³×C₂²⋊D₇	1	1	yes	characteristic
1626	C₄	—	2	1	no	—
1627	C₄	—	2	1	no	—
1628	C₄	—	2	1	no	—
1629	C₄	—	2	2	no	—
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	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	14	2	no	—
1645	C₄	—	28	1	no	—
1646	C₄	—	28	1	no	—
1647	C₄	—	28	1	no	—
1648	C₄	—	28	1	no	—
1649	C₄	—	28	1	no	—
1650	C₄	—	28	1	no	—
1651	C₄	C₂×D₇×#41	1	1	yes	characteristic
1652	C₄	#90616	1	1	yes	characteristic
1653	C₂	—	2	2	no	—
1654	C₂	—	4	1	no	—
1655	C₂	—	4	1	no	—
1656	C₂	—	8	1	no	—
1657	C₂	—	56	1	no	—
1658	C₂	#41×C₂²⋊D₇	1	1	yes	characteristic
1659	C₂	C₂×#90529	1	1	yes	characteristic
1660	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	#61473
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. #11743192	C₂	semidirect
3. #11741145	C₂	semidirect
4. #11741127	C₂	semidirect
5. #11741123	C₂	semidirect
6. #11741115	C₂	semidirect
7. #11741086	C₂	semidirect
8. #11741068	C₂	semidirect
9. #11741065	C₂	semidirect
10. #11741052	C₂	semidirect
11. #11741050	C₂	semidirect
12. #11741035	C₂	semidirect
13. D₄×#1144	C₂	semidirect
14. #11740998	C₂	semidirect
15. #11740994	C₂	semidirect
16. #11740994	C₂	semidirect
17. #11740986	C₂	semidirect
18. #11740983	C₂	semidirect
19. #11740912	C₂	semidirect
20. #11740902	C₂	semidirect
21. #11740891	C₂	semidirect
22. #11740889	C₂	semidirect
23. #11740598	C₂	semidirect
24. #11740579	C₂	semidirect
25. #11740571	C₂	semidirect
26. #11740020	C₂	semidirect
27. #11740002	C₂	semidirect
28. #11739997	C₂	semidirect
29. #11739994	C₂	semidirect
30. #11739890	C₂	semidirect
31. C₂×C₄×#1144	C₂	semidirect
483. #3516	D₇	semidirect
1609. C₇	#61473	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
#11743192	2
#11741145	2
#11741127	2
#11741123	2
#11741115	2
#11741086	2
#11741068	2
#11741065	2
#11741052	2
#11741050	2
#11741035	2
D₄×#1144	2
#11740998	2
#11740994	2
#11740986	2
#11740983	2
#11740912	2
#11740902	2
#11740891	2
#11740889	2
#11740598	2
#11740579	2
#11740571	2
#11740020	2
#11740002	2
#11739997	2
#11739994	2
#11739890	2
C₂×C₄×#1144	2
#61473	7