Subgroups — #12978217

Order 1280.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618873	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618811	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3347	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615377	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615337	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613727	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613705	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613118	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613107	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613103	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613103	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613095	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613095	C₂	1	1	yes	maximal, characteristic, complemented
14	#10613023	C₂	1	1	yes	maximal, characteristic, complemented
15	#10613016	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612925	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612901	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612718	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612699	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612611	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612597	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612445	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612443	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611616	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611599	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611209	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611206	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610960	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610940	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610925	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#427	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#555	C₂²	1	1	yes	characteristic
33	C₅×#553	C₂²	1	1	yes	characteristic
34	C₂×#4058	C₂²	1	1	yes	characteristic
35	C₂×#4053	C₂²	1	1	yes	characteristic
36	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic
37	#66066	C₂²	1	1	yes	characteristic
38	#66063	C₂²	1	1	yes	characteristic
39	#66040	—	2	1	no	—
40	#66036	—	2	1	no	—
41	#66028	C₂²	1	1	yes	characteristic
42	#66023	C₂²	1	1	yes	characteristic
43	#66014	—	2	1	no	—
44	#66012	—	2	1	no	—
45	#66005	—	2	1	no	—
46	#66004	—	2	1	no	—
47	#65991	—	2	1	no	—
48	#65984	—	2	1	no	—
49	#65952	C₂²	1	1	yes	characteristic
50	#65950	—	2	1	no	—
51	#65950	C₂²	1	1	yes	characteristic
52	#65950	C₂²	1	1	yes	characteristic
53	#65948	C₂²	1	1	yes	characteristic
54	#65947	—	2	1	no	—
55	#65947	—	2	1	no	—
56	#65942	C₂²	1	1	yes	characteristic
57	#65942	C₂²	1	1	yes	characteristic
58	#65940	C₂²	1	1	yes	characteristic
59	#65940	C₂²	1	1	yes	characteristic
60	#65935	—	2	1	no	—
61	#65897	C₂²	1	1	yes	characteristic
62	#65892	C₂²	1	1	yes	characteristic
63	#65891	—	2	1	no	—
64	#65881	C₂²	1	1	yes	characteristic
65	#65880	C₂²	1	1	yes	characteristic
66	#65880	C₂²	1	1	yes	characteristic
67	#65876	C₂²	1	1	yes	characteristic
68	#65875	C₂²	1	1	yes	characteristic
69	#65874	—	2	1	no	—
70	#65867	C₂²	1	1	yes	characteristic
71	#65867	C₂²	1	1	yes	characteristic
72	#65865	—	2	1	no	—
73	#65863	C₂²	1	1	yes	characteristic
74	#65862	—	2	1	no	—
75	#65857	C₂²	1	1	yes	characteristic
76	D₅×#117	C₂²	1	1	yes	characteristic
77	D₅×#117	C₂²	1	1	yes	characteristic
78	#65847	C₂²	1	1	yes	characteristic
79	#65838	C₂²	1	1	yes	characteristic
80	C₅×#501	C₂²	1	1	yes	characteristic, complemented
81	C₅×#482	C₂²	1	1	yes	characteristic
82	C₅×#482	C₂²	1	1	yes	characteristic
83	C₅×#482	C₂²	1	1	yes	characteristic, complemented
84	C₅×#480	C₂²	1	1	yes	characteristic, complemented
85	C₅×#478	C₂²	1	1	yes	characteristic, complemented
86	C₅×#474	C₂²	1	1	yes	characteristic, complemented
87	C₅×#469	C₂²	1	1	yes	characteristic, complemented
88	C₅×#466	C₂²	1	1	yes	characteristic
89	C₅×#442	C₂²	1	1	yes	characteristic, complemented
90	C₅×#435	C₂²	1	1	yes	characteristic
91	C₅×#428	C₂²	1	1	yes	characteristic, complemented
92	C₅×#427	C₂²	1	1	yes	characteristic
93	#65448	C₂²	1	1	yes	characteristic, complemented
94	#65446	C₂²	1	1	yes	characteristic
95	#65441	C₂²	1	1	yes	characteristic, complemented
96	#65426	C₂²	1	1	yes	characteristic, complemented
97	#65416	C₂²	1	1	yes	characteristic
98	#65410	C₂²	1	1	yes	characteristic, complemented
99	#65405	C₂²	1	1	yes	characteristic
100	#65400	C₂²	1	1	yes	characteristic
101	#65395	C₂²	1	1	yes	characteristic
102	#65380	C₂²	1	1	yes	characteristic, complemented
103	#65368	C₂²	1	1	yes	characteristic, complemented
104	#65353	C₂²	1	1	yes	characteristic, complemented
105	#65352	C₂²	1	1	yes	characteristic, complemented
106	#65330	C₂²	1	1	yes	characteristic
107	#65330	C₂²	1	1	yes	characteristic
108	#65330	C₂²	1	1	yes	characteristic, complemented
109	#65330	C₂²	1	1	yes	characteristic, complemented
110	#65324	C₂²	1	1	yes	characteristic
111	#65324	C₂²	1	1	yes	characteristic
112	#65324	C₂²	1	1	yes	characteristic, complemented
113	#65322	C₂²	1	1	yes	characteristic, complemented
114	C₄×#687	C₂²	1	1	yes	characteristic, complemented
115	C₄×#687	C₂²	1	1	yes	characteristic, complemented
116	D₄×#168	C₂²	1	1	yes	characteristic
117	#65298	C₂²	1	1	yes	characteristic, complemented
118	#65296	C₂²	1	1	yes	characteristic, complemented
119	#65287	C₂²	1	1	yes	characteristic
120	#65287	C₂²	1	1	yes	characteristic
121	#65287	C₂²	1	1	yes	characteristic, complemented
122	#65285	C₂²	1	1	yes	characteristic
123	#65285	C₂²	1	1	yes	characteristic
124	#65285	C₂²	1	1	yes	characteristic, complemented
125	#65259	C₂²	1	1	yes	characteristic, complemented
126	C₂×#3940	C₂²	1	1	yes	characteristic, complemented
127	#65177	C₂²	1	1	yes	characteristic
128	#65177	C₂²	1	1	yes	characteristic
129	#65177	C₂²	1	1	yes	characteristic, complemented
130	#65176	C₂²	1	1	yes	characteristic
131	#65173	C₂²	1	1	yes	characteristic, complemented
132	#65173	C₂²	1	1	yes	characteristic, complemented
133	#65170	C₂²	1	1	yes	characteristic
134	#65170	C₂²	1	1	yes	characteristic
135	#65170	C₂²	1	1	yes	characteristic, complemented
136	#65169	C₂²	1	1	yes	characteristic
137	#65169	C₂²	1	1	yes	characteristic
138	#65169	C₂²	1	1	yes	characteristic
139	#65169	C₂²	1	1	yes	characteristic, complemented
140	D₅×#107	C₂²	1	1	yes	characteristic
141	D₅×#107	C₂²	1	1	yes	characteristic
142	#65167	C₂²	1	1	yes	characteristic, complemented
143	#65166	C₂²	1	1	yes	characteristic, complemented
144	#65165	C₂²	1	1	yes	characteristic, complemented
145	#65164	C₂²	1	1	yes	characteristic, complemented
146	#65164	C₂²	1	1	yes	characteristic, complemented
147	#65157	C₂²	1	1	yes	characteristic, complemented
148	#65156	C₂²	1	1	yes	characteristic
149	#65156	C₂²	1	1	yes	characteristic
150	#65156	C₂²	1	1	yes	characteristic, complemented
151	#65150	C₂²	1	1	yes	characteristic
152	#65150	C₂²	1	1	yes	characteristic
153	#65150	C₂²	1	1	yes	characteristic, complemented
154	#65149	C₂²	1	1	yes	characteristic
155	#65149	C₂²	1	1	yes	characteristic
156	D₅×#106	C₂²	1	1	yes	characteristic
157	D₅×#106	C₂²	1	1	yes	characteristic
158	D₅×#106	C₂²	1	1	yes	characteristic, complemented
159	#65146	C₂²	1	1	yes	characteristic, complemented
160	#65145	C₂²	1	1	yes	characteristic, complemented
161	#65144	C₂²	1	1	yes	characteristic, complemented
162	#65142	C₂²	1	1	yes	characteristic, complemented
163	#65139	C₂²	1	1	yes	characteristic, complemented
164	#65128	C₂²	1	1	yes	characteristic
165	#65123	C₂²	1	1	yes	characteristic
166	#65118	C₂²	1	1	yes	characteristic, complemented
167	#65073	C₂²	1	1	yes	characteristic
168	#65073	C₂²	1	1	yes	characteristic
169	#65073	C₂²	1	1	yes	characteristic, complemented
170	#65068	C₂²	1	1	yes	characteristic
171	#65068	C₂²	1	1	yes	characteristic
172	#65068	C₂²	1	1	yes	characteristic, complemented
173	#65067	C₂²	1	1	yes	characteristic
174	#65067	C₂²	1	1	yes	characteristic
175	#65067	C₂²	1	1	yes	characteristic, complemented
176	#65067	C₂²	1	1	yes	characteristic, complemented
177	#65063	C₂²	1	1	yes	characteristic, complemented
178	#65063	C₂²	1	1	yes	characteristic, complemented
179	#65061	C₂²	1	1	yes	characteristic
180	#65061	C₂²	1	1	yes	characteristic
181	#65060	C₂²	1	1	yes	characteristic
182	#65060	C₂²	1	1	yes	characteristic
183	#65060	C₂²	1	1	yes	characteristic
184	#65060	C₂²	1	1	yes	characteristic
185	#65055	C₂²	1	1	yes	characteristic, complemented
186	#65052	C₂²	1	1	yes	characteristic, complemented
187	#65048	C₂²	1	1	yes	characteristic, complemented
188	#65048	C₂²	1	1	yes	characteristic, complemented
189	#65047	C₂²	1	1	yes	characteristic, complemented
190	#65047	C₂²	1	1	yes	characteristic, complemented
191	#65016	C₂²	1	1	yes	characteristic
192	#65015	C₂²	1	1	yes	characteristic
193	#65014	C₂²	1	1	yes	characteristic
194	#65014	C₂²	1	1	yes	characteristic
195	#65012	C₂²	1	1	yes	characteristic
196	#65012	C₂²	1	1	yes	characteristic
197	#65012	C₂²	1	1	yes	characteristic, complemented
198	#65011	C₂²	1	1	yes	characteristic, complemented
199	#65005	C₂²	1	1	yes	characteristic, complemented
200	#64997	C₂²	1	1	yes	characteristic
201	#64995	C₂²	1	1	yes	characteristic
202	#64991	C₂²	1	1	yes	characteristic, complemented
203	#61260	—	5	1	no	maximal, Sylow
204	C₂×#711	C₂³	1	1	yes	characteristic
205	C₂×#711	C₂³	1	1	yes	characteristic
206	C₂×#709	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
209	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
210	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
211	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₅×#126	—	2	1	no	—
213	C₅×#125	C₂³	1	1	yes	characteristic
214	C₅×#124	—	2	1	no	—
215	C₅×#124	—	2	1	no	—
216	C₅×#123	—	2	1	no	—
217	C₅×#121	—	2	1	no	—
218	C₅×#121	—	2	1	no	—
219	C₅×#121	C₂³	1	1	yes	characteristic
220	C₅×#121	C₂³	1	1	yes	characteristic
221	C₅×#121	C₂³	1	1	yes	characteristic
222	C₅×#121	C₂³	1	1	yes	characteristic
223	C₄×C₅×D₄	—	2	1	no	—
224	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
225	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
226	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
227	C₅×#117	—	2	1	no	—
228	C₅×#117	C₂³	1	1	yes	characteristic
229	C₅×#117	C₂³	1	1	yes	characteristic
230	C₅×#117	C₂³	1	1	yes	characteristic
231	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	#4093	—	2	1	no	—
233	#4092	—	2	1	no	—
234	Q₈×Dic₅	—	2	1	no	—
235	#4090	—	2	1	no	—
236	#4085	—	2	1	no	—
237	#4085	—	2	1	no	—
238	#4085	—	2	1	no	—
239	#4085	—	2	1	no	—
240	#4085	—	2	1	no	—
241	#4085	D₄	1	1	yes	characteristic
242	#4084	—	2	1	no	—
243	#4084	—	2	1	no	—
244	#4084	—	2	1	no	—
245	#4084	C₂³	1	1	yes	characteristic
246	#4084	C₂³	1	1	yes	characteristic
247	#4084	C₂³	1	1	yes	characteristic
248	#4084	C₂³	1	1	yes	characteristic
249	#4083	—	2	1	no	—
250	#4083	—	2	1	no	—
251	#4083	D₄	1	1	yes	characteristic
252	#4082	—	2	1	no	—
253	#4082	—	2	1	no	—
254	#4082	—	2	1	no	—
255	#4081	—	2	1	no	—
256	#4081	—	2	1	no	—
257	D₄×Dic₅	—	2	1	no	—
258	D₄×Dic₅	—	2	1	no	—
259	D₄×Dic₅	—	2	1	no	—
260	D₄×Dic₅	C₂³	1	1	yes	characteristic
261	D₄×Dic₅	C₂³	1	1	yes	characteristic
262	C₂×#687	C₂³	1	1	yes	characteristic
263	C₂×#687	C₂³	1	1	yes	characteristic
264	#4076	—	2	1	no	—
265	#4075	—	2	1	no	—
266	#4075	—	2	1	no	—
267	C₄×C₂²⋊D₅	—	2	1	no	—
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₄×C₂²⋊D₅	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	2	1	no	—
271	C₄×C₂²⋊D₅	—	2	1	no	—
272	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
273	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
274	#4072	—	2	1	no	—
275	#4072	—	2	1	no	—
276	#4072	C₂³	1	1	yes	characteristic
277	#4072	C₂³	1	1	yes	characteristic
278	#4072	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
280	#4070	C₂³	1	1	yes	characteristic
281	#4070	C₂³	1	1	yes	characteristic
282	#4070	C₂³	1	1	yes	characteristic
283	#4070	C₂³	1	1	yes	characteristic
284	C₂×#683	—	2	1	no	—
285	C₂×#683	—	2	1	no	—
286	C₂²×#168	C₂³	1	1	yes	characteristic
287	C₂²×#168	C₂³	1	1	yes	characteristic
288	#4058	—	2	4	no	—
289	#4053	—	2	4	no	—
290	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
291	C₂×#676	C₂³	1	1	yes	characteristic
292	C₂×#676	C₂³	1	1	yes	characteristic
293	C₂×#676	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₅	—	2	4	no	—
295	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
296	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
297	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
298	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
299	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
300	#4044	—	2	1	no	—
301	#4044	—	2	1	no	—
302	#4044	—	2	1	no	—
303	#4044	—	2	1	no	—
304	#4043	—	2	1	no	—
305	#4043	C₂³	1	1	yes	characteristic
306	#4043	C₂³	1	1	yes	characteristic
307	#4043	C₂³	1	1	yes	characteristic
308	#4043	C₂³	1	1	yes	characteristic
309	#4042	—	2	1	no	—
310	#4042	—	2	1	no	—
311	#4042	D₄	1	1	yes	characteristic
312	#4040	—	2	1	no	—
313	#4040	D₄	1	1	yes	characteristic
314	#4039	—	2	1	no	—
315	#4038	—	2	1	no	—
316	#4038	C₂³	1	1	yes	characteristic
317	#4038	C₂³	1	1	yes	characteristic
318	#4038	C₂³	1	1	yes	characteristic
319	#4038	C₂³	1	1	yes	characteristic
320	#4038	C₂³	1	1	yes	characteristic
321	#4038	C₂³	1	1	yes	characteristic
322	#4038	C₂³	1	1	yes	characteristic
323	#4038	C₂³	1	1	yes	characteristic
324	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
325	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
326	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	#4036	—	2	1	no	—
331	#4036	C₂³	1	1	yes	characteristic
332	#4036	C₂³	1	1	yes	characteristic
333	#4035	—	2	1	no	—
334	#4035	—	2	1	no	—
335	#4035	—	2	1	no	—
336	#4035	—	2	1	no	—
337	#4034	—	2	1	no	—
338	#4034	C₂³	1	1	yes	characteristic
339	#4034	C₂³	1	1	yes	characteristic
340	#4033	—	2	1	no	—
341	#4033	—	2	1	no	—
342	#4033	C₂³	1	1	yes	characteristic
343	#4033	C₂³	1	1	yes	characteristic
344	#4032	—	2	1	no	—
345	#4031	—	2	1	no	—
346	#4031	—	2	1	no	—
347	#4031	—	2	1	no	—
348	#4031	—	2	1	no	—
349	#4031	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4030	—	2	1	no	—
352	#4030	—	2	1	no	—
353	#4030	—	2	1	no	—
354	#4030	D₄	1	1	yes	characteristic
355	#4029	—	2	1	no	—
356	#4029	—	2	1	no	—
357	#4029	—	2	1	no	—
358	#4029	D₄	1	1	yes	characteristic
359	#4028	D₄	1	1	yes	characteristic
360	#4027	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4027	—	2	1	no	—
367	D₅×C₂²⋊C₄	—	2	1	no	—
368	D₅×C₂²⋊C₄	—	2	1	no	—
369	#4025	—	2	1	no	—
370	#4025	—	2	1	no	—
371	#4025	—	2	1	no	—
372	#4025	—	2	1	no	—
373	#4025	—	2	1	no	—
374	#4025	—	2	1	no	—
375	#4025	—	2	1	no	—
376	#4025	—	2	1	no	—
377	#4025	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4024	—	2	1	no	—
380	#4024	D₄	1	1	yes	characteristic
381	#4023	—	2	1	no	—
382	#4023	—	2	1	no	—
383	#4023	—	2	1	no	—
384	#4023	—	2	1	no	—
385	#4023	—	2	1	no	—
386	#4023	—	2	1	no	—
387	#4023	—	2	1	no	—
388	#4022	—	2	1	no	—
389	#4022	—	2	1	no	—
390	C₄×D₂₀	—	2	1	no	—
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	#4018	—	2	1	no	—
393	#4018	—	2	1	no	—
394	#4018	—	2	1	no	—
395	#4018	C₂³	1	1	yes	characteristic
396	C₄²×D₅	—	2	1	no	—
397	C₄²×D₅	—	2	1	no	—
398	#4016	—	2	1	no	—
399	#4016	C₂³	1	1	yes	characteristic
400	#4015	C₂³	1	1	yes	characteristic
401	C₄×Dic₁₀	—	2	1	no	—
402	C₄×Dic₁₀	—	2	1	no	—
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₅×#107	C₂³	1	1	yes	characteristic
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#107	C₂³	1	1	yes	characteristic
409	C₅×#107	C₂³	1	1	yes	characteristic
410	C₅×#107	C₂³	1	1	yes	characteristic
411	C₅×#106	C₂³	1	1	yes	characteristic
412	C₅×#106	C₂³	1	1	yes	characteristic
413	C₅×#106	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#97	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	C₂²⋊#168	C₂³	1	1	yes	characteristic
433	#3952	C₂³	1	1	yes	characteristic
434	#3952	C₂³	1	1	yes	characteristic
435	#3952	C₂³	1	1	yes	characteristic
436	#3952	C₂³	1	1	yes	characteristic
437	#3950	C₂³	1	1	yes	characteristic
438	#3950	C₂³	1	1	yes	characteristic
439	#3950	C₂³	1	1	yes	characteristic
440	#3950	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3949	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3949	C₂³	1	1	yes	characteristic
445	#3949	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	C₈×Dic₅	C₂³	1	1	yes	characteristic
456	#3942	C₂³	1	1	yes	characteristic
457	#3942	C₂³	1	1	yes	characteristic
458	#3942	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3940	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	C₄⋊#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3493	—	5	1	no	—
483	#3493	—	5	1	no	—
484	#3349	—	5	1	no	—
485	#3349	—	5	1	no	—
486	#3349	—	5	1	no	—
487	#3349	—	5	1	no	—
488	#3347	—	5	1	no	—
489	#3347	—	5	1	no	—
490	#3347	—	5	1	no	—
491	#3347	D₅	1	1	yes	characteristic, complemented
492	#3340	—	5	1	no	—
493	#3340	—	5	1	no	—
494	#3340	—	5	1	no	—
495	#3340	—	5	1	no	—
496	#3337	—	5	1	no	—
497	#3337	—	5	1	no	—
498	#3337	—	5	1	no	—
499	#3337	—	5	1	no	—
500	#3163	—	5	1	no	—
501	#3098	—	5	1	no	—
502	#3098	—	5	1	no	—
503	#3093	—	5	1	no	—
504	#3093	—	5	1	no	—
505	#3083	—	5	1	no	—
506	#3083	—	5	1	no	—
507	#3060	—	5	1	no	—
508	#3050	—	5	1	no	—
509	#2952	—	5	1	no	—
510	#2929	—	5	1	no	—
511	#2912	—	5	1	no	—
512	C₂×#427	—	5	1	no	—
513	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
514	C₂×C₅×Q₈	—	2	1	no	—
515	C₂×C₅×D₄	—	2	1	no	—
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	—	2	1	no	—
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
520	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
537	C₂²×Dic₅	—	2	1	no	—
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
543	#711	—	2	2	no	—
544	#711	—	2	2	no	—
545	#711	—	2	2	no	—
546	#711	—	2	2	no	—
547	#709	—	2	2	no	—
548	#709	—	2	2	no	—
549	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
550	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
551	C₂×C₄×D₅	—	2	2	no	—
552	C₂×C₄×D₅	—	2	2	no	—
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
560	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
562	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
563	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
564	C₂×Dic₁₀	—	2	1	no	—
565	C₂×Dic₁₀	—	2	1	no	—
566	C₂×Dic₁₀	—	2	1	no	—
567	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
568	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
569	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
570	C₅×D₈	—	2	2	no	—
571	C₅×M₁₆	—	2	2	no	—
572	C₂×C₅×C₈	—	2	2	no	—
573	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
574	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
576	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	—	2	1	no	—
579	C₅×C₄⋊C₄	—	2	1	no	—
580	C₅×C₄⋊C₄	—	2	1	no	—
581	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₅×C₂²⋊C₄	—	2	1	no	—
589	C₅×C₂²⋊C₄	—	2	1	no	—
590	C₅×C₂²⋊C₄	—	2	1	no	—
591	C₅×C₂²⋊C₄	—	2	1	no	—
592	C₅×C₂²⋊C₄	—	2	1	no	—
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	—	2	1	no	—
596	C₅×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₄²×C₅	—	2	1	no	—
600	C₄²×C₅	—	2	1	no	—
601	C₄²×C₅	—	2	1	no	—
602	C₄²×C₅	C₂⁴	1	1	yes	characteristic
603	C₂²⋊Dic₅	—	2	1	no	—
604	C₂²⋊Dic₅	—	2	1	no	—
605	C₂²⋊Dic₅	—	2	1	no	—
606	C₂²⋊Dic₅	—	2	1	no	—
607	C₂²⋊Dic₅	—	2	1	no	—
608	C₂²⋊Dic₅	—	2	1	no	—
609	C₂²⋊Dic₅	—	2	1	no	—
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	C₂²⋊Dic₅	—	2	1	no	—
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
617	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
618	#687	—	2	2	no	—
619	#687	—	2	2	no	—
620	#685	—	2	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	C₂×D₄	1	1	yes	characteristic
633	#685	C₂×D₄	1	1	yes	characteristic
634	#685	C₂×D₄	1	1	yes	characteristic
635	#685	C₂×D₄	1	1	yes	characteristic
636	#685	C₂×D₄	1	1	yes	characteristic
637	#685	C₂×D₄	1	1	yes	characteristic
638	C₄⋊Dic₅	—	2	1	no	—
639	C₄⋊Dic₅	—	2	1	no	—
640	C₄⋊Dic₅	—	2	1	no	—
641	C₄⋊Dic₅	—	2	1	no	—
642	C₄⋊Dic₅	—	2	1	no	—
643	C₄⋊Dic₅	—	2	1	no	—
644	C₄⋊Dic₅	—	2	1	no	—
645	C₄⋊Dic₅	—	2	1	no	—
646	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
647	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
648	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
649	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
650	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
651	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
652	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
653	#683	—	2	1	no	—
654	#683	—	2	1	no	—
655	#683	—	2	1	no	—
656	#683	—	2	1	no	—
657	#683	—	2	1	no	—
658	#683	—	2	1	no	—
659	#683	—	2	1	no	—
660	#683	—	2	1	no	—
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	C₂×D₄	1	1	yes	characteristic
674	#683	C₂×D₄	1	1	yes	characteristic
675	#683	C₂×D₄	1	1	yes	characteristic
676	#683	C₂×D₄	1	1	yes	characteristic
677	C₄×Dic₅	—	2	1	no	—
678	C₄×Dic₅	—	2	1	no	—
679	C₄×Dic₅	—	2	1	no	—
680	C₄×Dic₅	—	2	1	no	—
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
693	C₂×#168	—	2	2	no	—
694	C₂×#168	—	2	2	no	—
695	C₂×#168	C₂⁴	1	1	yes	characteristic
696	C₂×#168	C₂⁴	1	1	yes	characteristic
697	C₂×#168	C₂⁴	1	1	yes	characteristic
698	C₂×#168	C₂⁴	1	1	yes	characteristic
699	Dic₂₀	—	2	2	no	—
700	#676	—	2	2	no	—
701	#676	—	2	2	no	—
702	#676	—	2	2	no	—
703	C₈×D₅	—	2	2	no	—
704	C₈×D₅	—	2	2	no	—
705	C₈×D₅	—	2	2	no	—
706	C₈×D₅	—	2	2	no	—
707	C₈×D₅	#41	1	4	yes	—
708	C₂×#135	—	5	1	no	—
709	C₂×#131	—	5	1	no	—
710	C₂³×C₈	—	5	1	no	—
711	#556	—	5	1	no	—
712	#556	—	5	1	no	—
713	#556	—	5	1	no	—
714	#556	—	5	1	no	—
715	#556	—	10	1	no	—
716	#556	—	10	1	no	—
717	#555	—	5	1	no	—
718	#555	—	5	1	no	—
719	#555	—	5	1	no	—
720	#555	—	10	1	no	—
721	#555	—	10	1	no	—
722	#555	C₂×D₅	1	1	yes	characteristic
723	#553	—	5	1	no	—
724	#553	—	5	1	no	—
725	#553	—	5	1	no	—
726	#553	—	10	1	no	—
727	#553	—	10	1	no	—
728	#553	C₂×D₅	1	1	yes	characteristic
729	#552	—	5	1	no	—
730	#552	—	5	1	no	—
731	#552	—	5	1	no	—
732	#552	—	5	1	no	—
733	#552	—	10	1	no	—
734	#552	—	10	1	no	—
735	#544	—	5	1	no	—
736	#544	—	5	1	no	—
737	#538	—	10	1	no	—
738	#538	—	10	1	no	—
739	#538	—	10	1	no	—
740	#538	—	10	1	no	—
741	#537	—	5	1	no	—
742	#537	—	5	1	no	—
743	#529	—	10	1	no	—
744	#529	—	10	1	no	—
745	#529	—	10	1	no	—
746	#529	—	10	1	no	—
747	#525	—	5	1	no	—
748	#525	—	5	1	no	—
749	#525	—	5	1	no	—
750	#520	—	5	1	no	—
751	#520	—	5	1	no	—
752	#520	—	5	1	no	—
753	#520	—	5	1	no	—
754	C₂×#117	—	5	1	no	—
755	C₂×#117	—	5	1	no	—
756	#501	—	5	1	no	—
757	#501	—	5	1	no	—
758	#501	—	5	1	no	—
759	#501	C₂×D₅	1	1	yes	characteristic, complemented
760	#499	—	5	1	no	—
761	#499	—	5	1	no	—
762	#498	—	5	1	no	—
763	#498	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	—	5	1	no	—
766	#485	—	5	1	no	—
767	#485	—	5	1	no	—
768	#485	—	5	1	no	—
769	#485	—	5	1	no	—
770	#485	—	5	1	no	—
771	#485	—	5	1	no	—
772	#485	—	5	1	no	—
773	#485	—	5	1	no	—
774	#485	—	5	1	no	—
775	#485	—	5	1	no	—
776	#484	—	5	1	no	—
777	#484	—	5	1	no	—
778	#484	—	5	1	no	—
779	#484	—	5	1	no	—
780	#482	—	5	1	no	—
781	#482	—	5	1	no	—
782	#482	—	5	1	no	—
783	#482	—	5	1	no	—
784	#482	—	5	1	no	—
785	#482	—	5	1	no	—
786	#482	—	5	1	no	—
787	#482	—	5	1	no	—
788	#482	—	5	1	no	—
789	#482	C₂×D₅	1	1	yes	characteristic
790	#482	C₂×D₅	1	1	yes	characteristic
791	#482	C₂×D₅	1	1	yes	characteristic, complemented
792	#480	—	5	1	no	—
793	#480	—	5	1	no	—
794	#480	—	5	1	no	—
795	#480	C₂×D₅	1	1	yes	characteristic, complemented
796	#479	—	5	1	no	—
797	#479	—	5	1	no	—
798	#479	—	5	1	no	—
799	#479	—	5	1	no	—
800	#478	—	5	1	no	—
801	#478	—	5	1	no	—
802	#478	—	5	1	no	—
803	#478	C₂×D₅	1	1	yes	characteristic, complemented
804	#477	—	5	1	no	—
805	#477	—	5	1	no	—
806	#477	—	5	1	no	—
807	#477	—	5	1	no	—
808	#474	—	5	1	no	—
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	C₂×D₅	1	1	yes	characteristic, complemented
812	#470	—	5	1	no	—
813	#470	—	5	1	no	—
814	#469	—	5	1	no	—
815	#469	C₂×D₅	1	1	yes	characteristic, complemented
816	#467	—	5	1	no	—
817	#467	—	5	1	no	—
818	#466	—	5	1	no	—
819	#466	C₂×D₅	1	1	yes	characteristic
820	#465	—	5	1	no	—
821	#465	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#465	—	5	1	no	—
825	#465	—	5	1	no	—
826	#465	—	5	1	no	—
827	#465	—	5	1	no	—
828	#442	—	5	1	no	—
829	#442	C₂×D₅	1	1	yes	characteristic, complemented
830	#441	—	5	1	no	—
831	#441	—	5	1	no	—
832	C₄×SD₁₆	—	5	1	no	—
833	C₄×SD₁₆	—	5	1	no	—
834	C₄×SD₁₆	—	5	1	no	—
835	C₄×SD₁₆	—	5	1	no	—
836	#435	—	5	1	no	—
837	#435	—	5	1	no	—
838	#435	—	5	1	no	—
839	#435	C₂×D₅	1	1	yes	characteristic
840	C₈×D₄	—	5	1	no	—
841	C₈×D₄	—	5	1	no	—
842	C₈×D₄	—	5	1	no	—
843	C₈×D₄	—	5	1	no	—
844	#428	—	5	1	no	—
845	#428	—	5	1	no	—
846	#428	—	5	1	no	—
847	#428	—	5	1	no	—
848	#428	—	5	1	no	—
849	#428	—	5	1	no	—
850	#428	—	5	1	no	—
851	#428	C₂×D₅	1	1	yes	characteristic, complemented
852	#427	—	5	1	no	—
853	#427	—	5	1	no	—
854	#427	—	5	1	no	—
855	#427	—	5	1	no	—
856	#427	—	5	1	no	—
857	#427	—	5	1	no	—
858	#427	—	5	1	no	—
859	#427	—	5	1	no	—
860	#427	—	5	1	no	—
861	#427	—	5	1	no	—
862	#427	C₂×D₅	1	1	yes	characteristic
863	C₂×#107	—	5	1	no	—
864	C₂×#107	—	5	1	no	—
865	C₂×#106	—	5	1	no	—
866	C₂×#106	—	5	1	no	—
867	C₂×#106	—	5	1	no	—
868	C₂×#106	—	5	1	no	—
869	#424	—	5	1	no	—
870	#417	—	5	1	no	—
871	#417	—	5	1	no	—
872	#417	—	5	1	no	—
873	#417	—	5	1	no	—
874	#416	—	5	1	no	—
875	#416	—	5	1	no	—
876	#408	—	5	1	no	—
877	#407	—	5	1	no	—
878	#405	—	5	1	no	—
879	C₂³×C₅	—	2	1	no	—
880	C₂³×C₅	—	2	1	no	—
881	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
882	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
883	C₂²×D₅	—	2	2	no	—
884	C₂²×D₅	—	4	1	no	—
885	C₂²×D₅	—	4	1	no	—
886	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
887	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
888	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
889	C₅×Q₈	—	8	1	no	—
890	C₅×D₄	—	2	1	no	—
891	C₅×D₄	—	2	1	no	—
892	C₅×D₄	—	2	1	no	—
893	C₅×D₄	—	2	1	no	—
894	C₅×D₄	—	4	1	no	—
895	C₅×D₄	—	8	1	no	—
896	C₅×D₄	—	8	1	no	—
897	C₅×D₄	—	8	1	no	—
898	C₅×D₄	—	8	1	no	—
899	C₂×C₄×C₅	—	2	1	no	—
900	C₂×C₄×C₅	—	2	1	no	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	8	1	no	—
910	C₂×C₄×C₅	—	8	1	no	—
911	C₂×C₄×C₅	—	8	1	no	—
912	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
913	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
917	C₂²⋊D₅	—	2	2	no	—
918	C₂²⋊D₅	—	2	2	no	—
919	C₂²⋊D₅	—	4	1	no	—
920	C₂²⋊D₅	—	4	1	no	—
921	C₂²⋊D₅	—	4	2	no	—
922	C₂²⋊D₅	—	4	2	no	—
923	C₂²⋊D₅	—	8	1	no	—
924	C₂²⋊D₅	—	8	1	no	—
925	C₂²⋊D₅	—	8	1	no	—
926	C₂²⋊D₅	—	8	1	no	—
927	C₂×Dic₅	—	2	2	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	1	no	—
935	C₂×Dic₅	—	2	1	no	—
936	C₂×Dic₅	—	4	2	no	—
937	C₂×Dic₅	—	4	2	no	—
938	C₂×Dic₅	—	8	1	no	—
939	C₂×Dic₅	—	8	1	no	—
940	C₂×Dic₅	—	8	1	no	—
941	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
942	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
943	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
946	D₂₀	—	2	2	no	—
947	D₂₀	—	4	1	no	—
948	C₄×D₅	—	2	2	no	—
949	C₄×D₅	—	2	1	no	—
950	C₄×D₅	—	2	1	no	—
951	C₄×D₅	—	2	1	no	—
952	C₄×D₅	—	2	1	no	—
953	C₄×D₅	—	2	2	no	—
954	C₄×D₅	—	8	1	no	—
955	C₄×D₅	—	8	1	no	—
956	C₄×D₅	—	8	1	no	—
957	C₄×D₅	—	8	1	no	—
958	C₄×D₅	—	8	1	no	—
959	C₄×D₅	—	8	1	no	—
960	C₄×D₅	C₂×#41	1	2	yes	—
961	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
962	Dic₁₀	—	2	2	no	—
963	Dic₁₀	—	2	1	no	—
964	Dic₁₀	—	2	1	no	—
965	Dic₁₀	—	2	1	no	—
966	Dic₁₀	—	2	1	no	—
967	Dic₁₀	—	8	1	no	—
968	Dic₁₀	—	8	1	no	—
969	Dic₁₀	—	8	1	no	—
970	C₅×C₈	—	2	1	no	—
971	C₅×C₈	—	2	1	no	—
972	C₅×C₈	—	2	1	no	—
973	C₅×C₈	C₂×#41	1	2	yes	—
974	#168	—	2	1	no	—
975	#168	—	2	1	no	—
976	#168	—	2	1	no	—
977	#168	C₂×#41	1	2	yes	—
978	C₂×#41	—	5	1	no	—
979	C₂×#41	—	5	1	no	—
980	C₂×#41	—	5	1	no	—
981	C₂³×C₄	—	5	1	no	—
982	#135	—	10	4	no	—
983	C₂×Q₁₆	—	5	1	no	—
984	C₂×SD₁₆	—	5	1	no	—
985	C₂×SD₁₆	—	5	1	no	—
986	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
987	#131	—	10	4	no	—
988	C₂×M₁₆	—	5	1	no	—
989	C₂×M₁₆	—	5	1	no	—
990	C₂×M₁₆	—	5	1	no	—
991	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
992	C₂²×C₈	—	5	1	no	—
993	C₂²×C₈	—	5	1	no	—
994	C₂²×C₈	—	5	1	no	—
995	C₂²×C₈	—	5	1	no	—
996	C₂²×C₈	—	5	1	no	—
997	C₂²×C₈	—	5	1	no	—
998	C₂²×C₈	—	5	1	no	—
999	C₂²×C₈	—	10	4	no	—
1000	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1001	C₄⋊Q₈	—	5	1	no	—
1002	C₄⋊Q₈	—	5	1	no	—
1003	C₄⋊Q₈	—	5	1	no	—
1004	C₄⋊Q₈	—	10	1	no	—
1005	C₄⋊Q₈	—	10	1	no	—
1006	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1007	#126	—	2	1	no	—
1008	#126	—	10	1	no	—
1009	#126	—	10	1	no	—
1010	#126	—	10	1	no	—
1011	#126	—	10	1	no	—
1012	#126	—	10	1	no	—
1013	#126	—	10	1	no	—
1014	#126	—	10	1	no	—
1015	#126	—	10	1	no	—
1016	#126	—	10	1	no	—
1017	#126	—	10	1	no	—
1018	#126	—	10	1	no	—
1019	#126	—	10	1	no	—
1020	#126	—	10	1	no	—
1021	#126	—	10	1	no	—
1022	#126	—	10	1	no	—
1023	#125	—	5	1	no	—
1024	#125	—	5	1	no	—
1025	#125	—	5	1	no	—
1026	#125	—	10	1	no	—
1027	#125	—	10	1	no	—
1028	#125	—	10	1	no	—
1029	#125	—	10	1	no	—
1030	#125	—	10	1	no	—
1031	#125	—	10	1	no	—
1032	#125	C₂²×D₅	1	1	yes	characteristic
1033	#124	—	2	1	no	—
1034	#124	—	2	1	no	—
1035	#124	—	10	1	no	—
1036	#124	—	10	1	no	—
1037	#124	—	10	1	no	—
1038	#124	—	10	1	no	—
1039	#124	—	10	1	no	—
1040	#124	—	10	1	no	—
1041	#124	—	10	1	no	—
1042	#124	—	10	1	no	—
1043	#124	—	10	1	no	—
1044	#124	—	10	1	no	—
1045	#123	—	2	1	no	—
1046	#123	—	5	1	no	—
1047	#123	—	5	1	no	—
1048	#123	—	10	1	no	—
1049	#123	—	10	1	no	—
1050	#123	—	10	1	no	—
1051	#123	—	10	1	no	—
1052	#123	—	10	1	no	—
1053	#123	—	10	1	no	—
1054	#123	—	10	1	no	—
1055	#123	—	10	1	no	—
1056	#123	—	10	1	no	—
1057	C₂²⋊Q₈	—	5	1	no	—
1058	C₂²⋊Q₈	—	5	1	no	—
1059	C₂²⋊Q₈	—	5	1	no	—
1060	C₂²⋊Q₈	—	5	1	no	—
1061	C₂²⋊Q₈	—	5	1	no	—
1062	C₂²⋊Q₈	—	5	1	no	—
1063	C₂²⋊Q₈	—	5	1	no	—
1064	C₂²⋊Q₈	—	5	1	no	—
1065	C₂²⋊Q₈	—	5	1	no	—
1066	C₂²⋊Q₈	—	5	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	—	10	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	#121	—	2	1	no	—
1074	#121	—	2	1	no	—
1075	#121	—	5	1	no	—
1076	#121	—	5	1	no	—
1077	#121	—	5	1	no	—
1078	#121	—	5	1	no	—
1079	#121	—	5	1	no	—
1080	#121	—	5	1	no	—
1081	#121	—	10	1	no	—
1082	#121	—	10	1	no	—
1083	#121	—	10	1	no	—
1084	#121	—	10	1	no	—
1085	#121	—	10	1	no	—
1086	#121	—	10	1	no	—
1087	#121	—	10	1	no	—
1088	#121	—	10	1	no	—
1089	#121	—	10	1	no	—
1090	#121	—	10	1	no	—
1091	#121	—	10	1	no	—
1092	#121	—	10	1	no	—
1093	#121	C₂²×D₅	1	1	yes	characteristic
1094	#121	C₂²×D₅	1	1	yes	characteristic
1095	#121	C₂²×D₅	1	1	yes	characteristic
1096	#121	C₂²×D₅	1	1	yes	characteristic
1097	#120	—	5	1	no	—
1098	#120	—	5	1	no	—
1099	#120	—	10	1	no	—
1100	#120	—	10	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	10	1	no	—
1106	C₄×Q₈	—	10	1	no	—
1107	C₄×Q₈	—	10	1	no	—
1108	C₄×Q₈	—	10	1	no	—
1109	C₄×Q₈	—	10	1	no	—
1110	C₄×Q₈	—	10	1	no	—
1111	C₄×D₄	—	2	1	no	—
1112	C₄×D₄	—	5	1	no	—
1113	C₄×D₄	—	5	1	no	—
1114	C₄×D₄	—	5	1	no	—
1115	C₄×D₄	—	5	1	no	—
1116	C₄×D₄	—	5	1	no	—
1117	C₄×D₄	—	10	1	no	—
1118	C₄×D₄	—	10	1	no	—
1119	C₄×D₄	—	10	1	no	—
1120	C₄×D₄	—	10	1	no	—
1121	C₄×D₄	—	10	1	no	—
1122	C₄×D₄	—	10	1	no	—
1123	C₄×D₄	—	10	1	no	—
1124	C₄×D₄	—	10	1	no	—
1125	C₄×D₄	—	10	1	no	—
1126	C₄×D₄	—	10	1	no	—
1127	C₄×D₄	—	10	1	no	—
1128	C₄×D₄	—	10	1	no	—
1129	C₄×D₄	—	10	1	no	—
1130	C₄×D₄	—	10	1	no	—
1131	C₄×D₄	—	10	1	no	—
1132	C₄×D₄	—	10	1	no	—
1133	C₄×D₄	—	10	1	no	—
1134	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1135	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1136	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1137	#117	—	2	1	no	—
1138	#117	—	5	1	no	—
1139	#117	—	5	1	no	—
1140	#117	—	5	1	no	—
1141	#117	—	5	1	no	—
1142	#117	—	5	1	no	—
1143	#117	—	5	1	no	—
1144	#117	—	5	1	no	—
1145	#117	—	5	1	no	—
1146	#117	—	5	1	no	—
1147	#117	—	5	1	no	—
1148	#117	—	5	1	no	—
1149	#117	—	5	1	no	—
1150	#117	—	10	1	no	—
1151	#117	—	10	1	no	—
1152	#117	—	10	1	no	—
1153	#117	—	10	1	no	—
1154	#117	—	10	1	no	—
1155	#117	—	10	1	no	—
1156	#117	—	10	1	no	—
1157	#117	—	10	1	no	—
1158	#117	—	10	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#117	—	10	1	no	—
1162	#117	—	10	1	no	—
1163	#117	C₂²×D₅	1	1	yes	characteristic
1164	#117	C₂²×D₅	1	1	yes	characteristic
1165	#117	C₂²×D₅	1	1	yes	characteristic
1166	C₂×C₄⋊C₄	—	5	1	no	—
1167	C₂×C₄⋊C₄	—	5	1	no	—
1168	C₂×C₄⋊C₄	—	5	1	no	—
1169	C₂×C₄⋊C₄	—	5	1	no	—
1170	C₂×C₄⋊C₄	—	5	1	no	—
1171	C₂×C₄⋊C₄	—	5	1	no	—
1172	C₂×C₄⋊C₄	—	5	1	no	—
1173	C₂×C₄⋊C₄	—	10	1	no	—
1174	C₂×C₄⋊C₄	—	10	1	no	—
1175	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	—	10	1	no	—
1177	C₂×C₂²⋊C₄	—	10	1	no	—
1178	C₂×C₄²	—	10	1	no	—
1179	C₂×C₄²	—	10	1	no	—
1180	#107	—	5	1	no	—
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	—	5	1	no	—
1185	#107	—	5	1	no	—
1186	#107	—	5	1	no	—
1187	#107	—	5	1	no	—
1188	#107	—	5	1	no	—
1189	#107	—	5	1	no	—
1190	#107	—	5	1	no	—
1191	#107	—	5	1	no	—
1192	#107	—	5	1	no	—
1193	#107	C₂²×D₅	1	1	yes	characteristic
1194	#107	C₂²×D₅	1	1	yes	characteristic
1195	#107	C₂²×D₅	1	1	yes	characteristic
1196	#107	C₂²×D₅	1	1	yes	characteristic
1197	#107	C₂²×D₅	1	1	yes	characteristic
1198	#106	—	5	1	no	—
1199	#106	—	5	1	no	—
1200	#106	—	5	1	no	—
1201	#106	—	5	1	no	—
1202	#106	—	5	1	no	—
1203	#106	—	5	1	no	—
1204	#106	—	5	1	no	—
1205	#106	—	5	1	no	—
1206	#106	—	5	1	no	—
1207	#106	—	5	1	no	—
1208	#106	—	5	1	no	—
1209	#106	—	5	1	no	—
1210	#106	—	5	1	no	—
1211	#106	—	5	1	no	—
1212	#106	C₂²×D₅	1	1	yes	characteristic
1213	#106	C₂²×D₅	1	1	yes	characteristic
1214	#106	C₂²×D₅	1	1	yes	characteristic
1215	#106	C₂²×D₅	1	1	yes	characteristic
1216	C₄⋊C₈	—	5	1	no	—
1217	C₄⋊C₈	—	5	1	no	—
1218	C₄⋊C₈	—	5	1	no	—
1219	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	C₂²×D₅	1	1	yes	characteristic
1239	#102	C₂²×D₅	1	1	yes	characteristic
1240	#102	C₂²×D₅	1	1	yes	characteristic
1241	#102	C₂²×D₅	1	1	yes	characteristic
1242	#102	C₂²×D₅	1	1	yes	characteristic
1243	#102	C₂²×D₅	1	1	yes	characteristic
1244	C₂²⋊C₈	—	5	1	no	—
1245	C₂²⋊C₈	—	5	1	no	—
1246	C₂²⋊C₈	—	5	1	no	—
1247	C₂²⋊C₈	—	5	1	no	—
1248	C₂²⋊C₈	—	5	1	no	—
1249	C₂²⋊C₈	—	5	1	no	—
1250	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1251	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1252	#97	—	5	1	no	—
1253	#97	C₂²×D₅	1	1	yes	characteristic
1254	C₄×C₈	—	5	1	no	—
1255	C₄×C₈	—	5	1	no	—
1256	C₂²×C₅	—	2	1	no	—
1257	C₂²×C₅	—	2	1	no	—
1258	C₂²×C₅	—	2	1	no	—
1259	C₂²×C₅	—	2	1	no	—
1260	C₂²×C₅	—	2	1	no	—
1261	C₂²×C₅	—	2	1	no	—
1262	C₂²×C₅	—	4	1	no	—
1263	C₂²×C₅	—	4	1	no	—
1264	C₂²×C₅	—	4	1	no	—
1265	C₂²×C₅	—	4	1	no	—
1266	C₂²×C₅	—	4	1	no	—
1267	C₂²×C₅	—	4	1	no	—
1268	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1269	C₂×D₅	—	2	1	no	—
1270	C₂×D₅	—	2	1	no	—
1271	C₂×D₅	—	2	1	no	—
1272	C₂×D₅	—	2	1	no	—
1273	C₂×D₅	—	2	1	no	—
1274	C₂×D₅	—	2	1	no	—
1275	C₂×D₅	—	2	1	no	—
1276	C₂×D₅	—	2	1	no	—
1277	C₂×D₅	—	4	4	no	—
1278	C₂×D₅	#547	1	2	yes	—
1279	C₄×C₅	—	2	1	no	—
1280	C₄×C₅	—	2	1	no	—
1281	C₄×C₅	—	2	1	no	—
1282	C₄×C₅	—	2	1	no	—
1283	C₄×C₅	—	4	1	no	—
1284	C₄×C₅	—	4	1	no	—
1285	C₄×C₅	—	4	1	no	—
1286	C₄×C₅	—	4	1	no	—
1287	C₄×C₅	—	4	1	no	—
1288	C₄×C₅	—	4	1	no	—
1289	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1290	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1291	Dic₅	—	2	1	no	—
1292	Dic₅	—	2	1	no	—
1293	Dic₅	—	2	1	no	—
1294	Dic₅	—	2	1	no	—
1295	Dic₅	—	4	1	no	—
1296	Dic₅	—	4	1	no	—
1297	Dic₅	—	4	1	no	—
1298	Dic₅	—	4	1	no	—
1299	Dic₅	—	4	1	no	—
1300	Dic₅	—	4	1	no	—
1301	Dic₅	—	4	1	no	—
1302	Dic₅	—	4	1	no	—
1303	Dic₅	#547	1	2	yes	—
1304	C₂⁴	—	5	1	no	—
1305	#41	—	10	2	no	—
1306	#41	—	10	2	no	—
1307	#41	—	10	2	no	—
1308	#41	—	10	2	no	—
1309	#41	—	10	2	no	—
1310	#41	—	10	2	no	—
1311	C₂×Q₈	—	2	1	no	—
1312	C₂×Q₈	—	5	1	no	—
1313	C₂×Q₈	—	5	1	no	—
1314	C₂×Q₈	—	5	1	no	—
1315	C₂×Q₈	—	10	1	no	—
1316	C₂×Q₈	—	10	1	no	—
1317	C₂×Q₈	—	10	1	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	—	5	1	no	—
1323	C₂×D₄	—	5	1	no	—
1324	C₂×D₄	—	5	1	no	—
1325	C₂×D₄	—	5	1	no	—
1326	C₂×D₄	—	5	1	no	—
1327	C₂×D₄	—	5	1	no	—
1328	C₂×D₄	—	10	1	no	—
1329	C₂×D₄	—	10	1	no	—
1330	C₂×D₄	—	10	1	no	—
1331	C₂×D₄	—	10	1	no	—
1332	C₂×D₄	—	10	1	no	—
1333	C₂×D₄	—	10	1	no	—
1334	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1335	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1336	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1337	C₂²×C₄	—	2	1	no	—
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	5	1	no	—
1341	C₂²×C₄	—	5	1	no	—
1342	C₂²×C₄	—	5	1	no	—
1343	C₂²×C₄	—	5	1	no	—
1344	C₂²×C₄	—	5	1	no	—
1345	C₂²×C₄	—	5	1	no	—
1346	C₂²×C₄	—	10	2	no	—
1347	C₂²×C₄	—	10	2	no	—
1348	C₂²×C₄	—	10	1	no	—
1349	C₂²×C₄	—	10	1	no	—
1350	C₂²×C₄	—	10	1	no	—
1351	C₂²×C₄	—	10	1	no	—
1352	C₂²×C₄	—	10	1	no	—
1353	C₂²×C₄	—	10	1	no	—
1354	C₂²×C₄	—	10	1	no	—
1355	C₂²×C₄	—	10	1	no	—
1356	C₂²×C₄	—	10	1	no	—
1357	C₂²×C₄	—	10	1	no	—
1358	C₂²×C₄	—	10	1	no	—
1359	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1360	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1361	Q₁₆	—	10	2	no	—
1362	SD₁₆	—	10	2	no	—
1363	SD₁₆	—	10	2	no	—
1364	D₈	—	2	2	no	—
1365	M₁₆	—	2	2	no	—
1366	M₁₆	—	10	2	no	—
1367	M₁₆	—	10	2	no	—
1368	M₁₆	—	10	2	no	—
1369	C₂×C₈	—	2	2	no	—
1370	C₂×C₈	—	5	1	no	—
1371	C₂×C₈	—	5	4	no	—
1372	C₂×C₈	—	5	1	no	—
1373	C₂×C₈	—	5	1	no	—
1374	C₂×C₈	—	5	1	no	—
1375	C₂×C₈	—	10	2	no	—
1376	C₂×C₈	—	10	2	no	—
1377	C₂×C₈	—	10	2	no	—
1378	C₂×C₈	—	10	2	no	—
1379	C₂×C₈	—	10	2	no	—
1380	C₂×C₈	—	10	2	no	—
1381	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1382	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1383	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1384	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1390	C₄⋊C₄	—	5	1	no	—
1391	C₄⋊C₄	—	5	1	no	—
1392	C₄⋊C₄	—	5	1	no	—
1393	C₄⋊C₄	—	5	1	no	—
1394	C₄⋊C₄	—	5	1	no	—
1395	C₄⋊C₄	—	5	1	no	—
1396	C₄⋊C₄	—	5	1	no	—
1397	C₄⋊C₄	—	5	1	no	—
1398	C₄⋊C₄	—	5	1	no	—
1399	C₄⋊C₄	—	5	1	no	—
1400	C₄⋊C₄	—	10	1	no	—
1401	C₄⋊C₄	—	10	1	no	—
1402	C₄⋊C₄	—	10	1	no	—
1403	C₄⋊C₄	—	10	1	no	—
1404	C₄⋊C₄	—	10	1	no	—
1405	C₄⋊C₄	—	10	1	no	—
1406	C₄⋊C₄	—	10	1	no	—
1407	C₄⋊C₄	—	10	1	no	—
1408	C₄⋊C₄	—	10	1	no	—
1409	C₄⋊C₄	—	10	1	no	—
1410	C₄⋊C₄	—	10	1	no	—
1411	C₄⋊C₄	—	10	1	no	—
1412	C₄⋊C₄	—	10	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1429	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1430	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1431	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1432	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1433	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1434	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1445	C₂²⋊C₄	—	5	1	no	—
1446	C₂²⋊C₄	—	5	1	no	—
1447	C₂²⋊C₄	—	5	1	no	—
1448	C₂²⋊C₄	—	5	1	no	—
1449	C₂²⋊C₄	—	5	1	no	—
1450	C₂²⋊C₄	—	5	1	no	—
1451	C₂²⋊C₄	—	5	1	no	—
1452	C₂²⋊C₄	—	10	1	no	—
1453	C₂²⋊C₄	—	10	1	no	—
1454	C₂²⋊C₄	—	10	1	no	—
1455	C₂²⋊C₄	—	10	1	no	—
1456	C₂²⋊C₄	—	10	1	no	—
1457	C₂²⋊C₄	—	10	1	no	—
1458	C₂²⋊C₄	—	10	1	no	—
1459	C₂²⋊C₄	—	10	1	no	—
1460	C₂²⋊C₄	—	10	1	no	—
1461	C₂²⋊C₄	—	10	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1478	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	5	1	no	—
1483	C₄²	—	10	1	no	—
1484	C₄²	—	10	1	no	—
1485	C₄²	—	10	1	no	—
1486	C₄²	—	10	1	no	—
1487	C₄²	—	10	1	no	—
1488	C₄²	—	10	1	no	—
1489	C₄²	—	10	1	no	—
1490	C₄²	—	10	1	no	—
1491	C₄²	—	10	1	no	—
1492	C₄²	—	10	1	no	—
1493	C₄²	—	10	1	no	—
1494	C₄²	—	10	1	no	—
1495	C₄²	—	10	1	no	—
1496	C₄²	—	10	1	no	—
1497	C₄²	—	10	1	no	—
1498	C₄²	C₂³×D₅	1	1	yes	characteristic
1499	C₂×C₅	—	4	1	no	—
1500	C₂×C₅	—	4	1	no	—
1501	C₂×C₅	—	8	1	no	—
1502	C₂×C₅	—	8	1	no	—
1503	C₂×C₅	C₂×#547	1	1	yes	characteristic
1504	C₂×C₅	#3584	1	1	yes	characteristic
1505	C₂×C₅	#3584	1	1	yes	characteristic
1506	D₅	—	2	2	no	—
1507	D₅	—	4	1	no	—
1508	D₅	—	4	1	no	—
1509	C₂³	—	2	1	no	—
1510	C₂³	—	2	1	no	—
1511	C₂³	—	5	1	no	—
1512	C₂³	—	5	1	no	—
1513	C₂³	—	5	1	no	—
1514	C₂³	—	10	2	no	—
1515	C₂³	—	20	1	no	—
1516	C₂³	—	20	1	no	—
1517	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1518	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1519	Q₈	—	8	1	no	—
1520	Q₈	—	10	2	no	—
1521	Q₈	—	10	1	no	—
1522	Q₈	—	10	1	no	—
1523	Q₈	—	10	1	no	—
1524	Q₈	—	10	1	no	—
1525	Q₈	—	40	1	no	—
1526	Q₈	—	40	1	no	—
1527	Q₈	—	40	1	no	—
1528	D₄	—	2	1	no	—
1529	D₄	—	2	1	no	—
1530	D₄	—	2	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	4	1	no	—
1533	D₄	—	8	1	no	—
1534	D₄	—	8	1	no	—
1535	D₄	—	8	1	no	—
1536	D₄	—	8	1	no	—
1537	D₄	—	10	2	no	—
1538	D₄	—	10	2	no	—
1539	D₄	—	10	2	no	—
1540	D₄	—	20	1	no	—
1541	D₄	—	20	1	no	—
1542	D₄	—	20	1	no	—
1543	D₄	—	20	2	no	—
1544	D₄	—	20	2	no	—
1545	D₄	—	40	1	no	—
1546	D₄	—	40	1	no	—
1547	D₄	—	40	1	no	—
1548	D₄	—	40	1	no	—
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	—	5	1	no	—
1560	C₂×C₄	—	5	2	no	—
1561	C₂×C₄	—	5	2	no	—
1562	C₂×C₄	—	5	1	no	—
1563	C₂×C₄	—	5	1	no	—
1564	C₂×C₄	—	5	1	no	—
1565	C₂×C₄	—	5	1	no	—
1566	C₂×C₄	—	8	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	10	2	no	—
1570	C₂×C₄	—	10	2	no	—
1571	C₂×C₄	—	10	2	no	—
1572	C₂×C₄	—	10	1	no	—
1573	C₂×C₄	—	10	1	no	—
1574	C₂×C₄	—	10	1	no	—
1575	C₂×C₄	—	10	1	no	—
1576	C₂×C₄	—	10	1	no	—
1577	C₂×C₄	—	10	1	no	—
1578	C₂×C₄	—	10	1	no	—
1579	C₂×C₄	—	10	1	no	—
1580	C₂×C₄	—	10	1	no	—
1581	C₂×C₄	—	10	1	no	—
1582	C₂×C₄	—	10	1	no	—
1583	C₂×C₄	—	10	1	no	—
1584	C₂×C₄	—	20	2	no	—
1585	C₂×C₄	—	20	2	no	—
1586	C₂×C₄	—	40	1	no	—
1587	C₂×C₄	—	40	1	no	—
1588	C₂×C₄	—	40	1	no	—
1589	C₂×C₄	—	40	1	no	—
1590	C₂×C₄	—	40	1	no	—
1591	C₂×C₄	—	40	1	no	—
1592	C₂×C₄	—	40	1	no	—
1593	C₂×C₄	—	40	1	no	—
1594	C₂×C₄	—	40	1	no	—
1595	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1596	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1597	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1598	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1599	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	5	2	no	—
1604	C₈	—	10	1	no	—
1605	C₈	—	10	1	no	—
1606	C₈	—	10	1	no	—
1607	C₈	D₅×#41	1	2	yes	—
1608	C₅	#61260	1	1	yes	characteristic, complemented, Sylow
1609	C₂²	—	2	1	no	—
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	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	5	2	no	—
1622	C₂²	—	10	1	no	—
1623	C₂²	—	10	1	no	—
1624	C₂²	—	10	1	no	—
1625	C₂²	—	10	1	no	—
1626	C₂²	—	10	1	no	—
1627	C₂²	—	10	1	no	—
1628	C₂²	—	10	1	no	—
1629	C₂²	—	10	1	no	—
1630	C₂²	—	20	4	no	—
1631	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	5	2	no	—
1643	C₄	—	10	1	no	—
1644	C₄	—	10	1	no	—
1645	C₄	—	10	1	no	—
1646	C₄	—	10	1	no	—
1647	C₄	—	20	1	no	—
1648	C₄	—	20	1	no	—
1649	C₄	—	20	1	no	—
1650	C₄	—	20	1	no	—
1651	C₄	—	20	1	no	—
1652	C₄	—	20	1	no	—
1653	C₄	—	20	1	no	—
1654	C₄	—	20	1	no	—
1655	C₄	C₂×D₅×#41	1	1	yes	characteristic
1656	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1657	C₂	—	4	1	no	—
1658	C₂	—	4	1	no	—
1659	C₂	—	8	1	no	—
1660	C₂	—	8	1	no	—
1661	C₂	—	10	2	no	—
1662	C₂	—	20	1	no	—
1663	C₂	—	20	1	no	—
1664	C₂	D₅×#547	1	1	yes	characteristic
1665	C₂	#10619100	1	1	yes	characteristic
1666	C₂	#10619104	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3347	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3347	D₅
hypocenter	C₅	#61260
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3347

Complements

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

N	H ≅ G/N	type
1. #10618873	C₂	semidirect
2. #10618811	C₂	semidirect
3. C₅×#3347	C₂	semidirect
4. #10615377	C₂	semidirect
5. #10615337	C₂	semidirect
6. #10613727	C₂	semidirect
7. #10613705	C₂	semidirect
8. #10613118	C₂	semidirect
9. #10613107	C₂	semidirect
10. #10613103	C₂	semidirect
11. #10613103	C₂	semidirect
12. #10613095	C₂	semidirect
13. #10613095	C₂	semidirect
14. #10613023	C₂	semidirect
15. #10613016	C₂	semidirect
16. #10612925	C₂	semidirect
17. #10612901	C₂	semidirect
18. #10612718	C₂	semidirect
19. #10612699	C₂	semidirect
20. #10612611	C₂	semidirect
21. #10612597	C₂	semidirect
22. #10612445	C₂	semidirect
23. #10612443	C₂	semidirect
24. #10611616	C₂	semidirect
25. #10611599	C₂	semidirect
26. #10611209	C₂	semidirect
27. #10611206	C₂	semidirect
28. #10610960	C₂	semidirect
29. #10610940	C₂	semidirect
30. #10610925	C₂	semidirect
31. D₅×#427	C₂	semidirect
80. C₅×#501	C₂²	semidirect
83. C₅×#482	C₂²	semidirect
84. C₅×#480	C₂²	semidirect
85. C₅×#478	C₂²	semidirect
86. C₅×#474	C₂²	semidirect
87. C₅×#469	C₂²	semidirect
89. C₅×#442	C₂²	semidirect
91. C₅×#428	C₂²	semidirect
93. #65448	C₂²	semidirect
95. #65441	C₂²	semidirect
96. #65426	C₂²	semidirect
98. #65410	C₂²	semidirect
102. #65380	C₂²	semidirect
103. #65368	C₂²	semidirect
104. #65353	C₂²	semidirect
105. #65352	C₂²	semidirect
108. #65330	C₂²	semidirect
109. #65330	C₂²	semidirect
112. #65324	C₂²	semidirect
113. #65322	C₂²	semidirect
114. C₄×#687	C₂²	semidirect
115. C₄×#687	C₂²	semidirect
117. #65298	C₂²	semidirect
118. #65296	C₂²	semidirect
121. #65287	C₂²	semidirect
124. #65285	C₂²	semidirect
125. #65259	C₂²	semidirect
126. C₂×#3940	C₂²	semidirect
129. #65177	C₂²	semidirect
131. #65173	C₂²	semidirect
132. #65173	C₂²	semidirect
135. #65170	C₂²	semidirect
139. #65169	C₂²	semidirect
142. #65167	C₂²	semidirect
143. #65166	C₂²	semidirect
144. #65165	C₂²	semidirect
145. #65164	C₂²	semidirect
146. #65164	C₂²	semidirect
147. #65157	C₂²	semidirect
150. #65156	C₂²	semidirect
153. #65150	C₂²	semidirect
158. D₅×#106	C₂²	semidirect
159. #65146	C₂²	semidirect
160. #65145	C₂²	semidirect
161. #65144	C₂²	semidirect
162. #65142	C₂²	semidirect
163. #65139	C₂²	semidirect
166. #65118	C₂²	semidirect
169. #65073	C₂²	semidirect
172. #65068	C₂²	semidirect
175. #65067	C₂²	semidirect
176. #65067	C₂²	semidirect
177. #65063	C₂²	semidirect
178. #65063	C₂²	semidirect
185. #65055	C₂²	semidirect
186. #65052	C₂²	semidirect
187. #65048	C₂²	semidirect
188. #65048	C₂²	semidirect
189. #65047	C₂²	semidirect
190. #65047	C₂²	semidirect
197. #65012	C₂²	semidirect
198. #65011	C₂²	semidirect
199. #65005	C₂²	semidirect
202. #64991	C₂²	semidirect
491. #3347	D₅	semidirect
759. #501	C₂×D₅	semidirect
791. #482	C₂×D₅	semidirect
795. #480	C₂×D₅	semidirect
803. #478	C₂×D₅	semidirect
811. #474	C₂×D₅	semidirect
815. #469	C₂×D₅	semidirect
829. #442	C₂×D₅	semidirect
851. #428	C₂×D₅	semidirect
1608. C₅	#61260	semidirect

Maximal subgroups

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

subgroup	index
#10618873	2
#10618811	2
C₅×#3347	2
#10615377	2
#10615337	2
#10613727	2
#10613705	2
#10613118	2
#10613107	2
#10613103	2
#10613095	2
#10613023	2
#10613016	2
#10612925	2
#10612901	2
#10612718	2
#10612699	2
#10612611	2
#10612597	2
#10612445	2
#10612443	2
#10611616	2
#10611599	2
#10611209	2
#10611206	2
#10610960	2
#10610940	2
#10610925	2
D₅×#427	2
#61260	5