Subgroups — #12968235

Order 1280.

2134 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618451	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3125	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615193	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614299	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613158	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613148	C₂	1	1	yes	maximal, characteristic, complemented
8	D₅×#481	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613043	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612794	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612777	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612745	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612727	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612333	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612302	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612269	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612236	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611957	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611950	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611815	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611803	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611600	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611597	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611565	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611563	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611385	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611384	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611381	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611378	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611115	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611105	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₅×#542	C₂²	1	1	yes	characteristic, complemented
34	C₅×#520	C₂²	1	1	yes	characteristic, complemented
35	#66161	C₂²	1	1	yes	characteristic, complemented
36	C₂×#4065	C₂²	1	1	yes	characteristic
37	C₂×#4062	C₂²	1	1	yes	characteristic
38	C₂×#4060	C₂²	1	1	yes	characteristic
39	C₂×#4057	C₂²	1	1	yes	characteristic
40	#66063	C₂²	1	1	yes	characteristic, complemented
41	#66059	C₂²	1	1	yes	characteristic
42	#66043	—	2	1	no	—
43	#66039	—	2	1	no	—
44	#66014	C₂²	1	1	yes	characteristic
45	#66010	—	2	1	no	—
46	#66008	C₂²	1	1	yes	characteristic, complemented
47	#66004	—	2	1	no	—
48	#65995	—	2	1	no	—
49	#65988	—	2	1	no	—
50	#65977	C₂²	1	1	yes	characteristic, complemented
51	#65971	—	2	1	no	—
52	#65965	—	2	1	no	—
53	#65961	C₂²	1	1	yes	characteristic
54	#65953	C₂²	1	1	yes	characteristic, complemented
55	D₅×#121	C₂²	1	1	yes	characteristic
56	#65914	C₂²	1	1	yes	characteristic
57	#65908	C₂²	1	1	yes	characteristic
58	#65908	C₂²	1	1	yes	characteristic
59	#65908	C₂²	1	1	yes	characteristic, complemented
60	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
61	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
62	#65882	C₂²	1	1	yes	characteristic
63	#65880	—	2	1	no	—
64	#65880	—	2	1	no	—
65	#65880	C₂²	1	1	yes	characteristic
66	#65880	C₂²	1	1	yes	characteristic
67	#65879	C₂²	1	1	yes	characteristic, complemented
68	C₄×D₄×D₅	—	2	1	no	—
69	C₄×D₄×D₅	—	2	1	no	—
70	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
72	#65869	C₂²	1	1	yes	characteristic, complemented
73	#65857	—	2	1	no	—
74	#65857	C₂²	1	1	yes	characteristic, complemented
75	D₅×#117	—	2	1	no	—
76	D₅×#117	C₂²	1	1	yes	characteristic
77	#65838	—	2	1	no	—
78	#65838	C₂²	1	1	yes	characteristic, complemented
79	C₂×D₅×C₄⋊C₄	—	2	1	no	—
80	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
81	C₅×#483	C₂²	1	1	yes	characteristic, complemented
82	C₅×#481	C₂²	1	1	yes	characteristic, complemented
83	C₅×#476	C₂²	1	1	yes	characteristic, complemented
84	C₅×#475	C₂²	1	1	yes	characteristic, complemented
85	C₅×#464	C₂²	1	1	yes	characteristic, complemented
86	C₅×#463	C₂²	1	1	yes	characteristic, complemented
87	C₅×#452	C₂²	1	1	yes	characteristic, complemented
88	C₅×#449	C₂²	1	1	yes	characteristic
89	C₅×#442	C₂²	1	1	yes	characteristic, complemented
90	C₅×#441	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	C₅×#433	C₂²	1	1	yes	characteristic, complemented
94	#65527	C₂²	1	1	yes	characteristic
95	#65527	C₂²	1	1	yes	characteristic, complemented
96	#65475	C₂²	1	1	yes	characteristic, complemented
97	#65474	C₂²	1	1	yes	characteristic, complemented
98	#65473	C₂²	1	1	yes	characteristic, complemented
99	#65459	C₂²	1	1	yes	characteristic
100	#65458	C₂²	1	1	yes	characteristic, complemented
101	#65454	C₂²	1	1	yes	characteristic, complemented
102	#65453	C₂²	1	1	yes	characteristic, complemented
103	#65452	C₂²	1	1	yes	characteristic, complemented
104	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
105	#65445	C₂²	1	1	yes	characteristic
106	#65439	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65383	C₂²	1	1	yes	characteristic, complemented
109	#65373	C₂²	1	1	yes	characteristic, complemented
110	#65346	C₂²	1	1	yes	characteristic, complemented
111	#65343	C₂²	1	1	yes	characteristic, complemented
112	#65336	C₂²	1	1	yes	characteristic, complemented
113	#65332	C₂²	1	1	yes	characteristic, complemented
114	#65326	C₂²	1	1	yes	characteristic
115	#65323	C₂²	1	1	yes	characteristic, complemented
116	#65319	C₂²	1	1	yes	characteristic, complemented
117	#65316	C₂²	1	1	yes	characteristic, complemented
118	#65315	C₂²	1	1	yes	characteristic, complemented
119	C₄×#688	C₂²	1	1	yes	characteristic, complemented
120	C₄×#688	C₂²	1	1	yes	characteristic, complemented
121	#65311	C₂²	1	1	yes	characteristic, complemented
122	C₄×#687	C₂²	1	1	yes	characteristic, complemented
123	#65304	C₂²	1	1	yes	characteristic, complemented
124	#65303	C₂²	1	1	yes	characteristic, complemented
125	#65303	C₂²	1	1	yes	characteristic, complemented
126	C₄×#686	C₂²	1	1	yes	characteristic, complemented
127	#65298	C₂²	1	1	yes	characteristic, complemented
128	#65289	C₂²	1	1	yes	characteristic, complemented
129	#65257	C₂²	1	1	yes	characteristic, complemented
130	#65256	C₂²	1	1	yes	characteristic, complemented
131	#65160	C₂²	1	1	yes	characteristic, complemented
132	#65159	C₂²	1	1	yes	characteristic, complemented
133	#65158	C₂²	1	1	yes	characteristic, complemented
134	#65158	C₂²	1	1	yes	characteristic, complemented
135	#65152	C₂²	1	1	yes	characteristic
136	#65152	C₂²	1	1	yes	characteristic
137	#65152	C₂²	1	1	yes	characteristic, complemented
138	#65152	C₂²	1	1	yes	characteristic, complemented
139	#65150	C₂²	1	1	yes	characteristic, complemented
140	#65150	C₂²	1	1	yes	characteristic, complemented
141	D₅×#106	C₂²	1	1	yes	characteristic, complemented
142	D₅×#106	C₂²	1	1	yes	characteristic, complemented
143	#65146	C₂²	1	1	yes	characteristic, complemented
144	#65143	C₂²	1	1	yes	characteristic, complemented
145	#65141	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65137	C₂²	1	1	yes	characteristic, complemented
148	#65136	C₂²	1	1	yes	characteristic, complemented
149	#65132	C₂²	1	1	yes	characteristic, complemented
150	#65128	C₂²	1	1	yes	characteristic, complemented
151	#65128	C₂²	1	1	yes	characteristic, complemented
152	#65124	C₂²	1	1	yes	characteristic, complemented
153	#65122	C₂²	1	1	yes	characteristic, complemented
154	#65118	C₂²	1	1	yes	characteristic, complemented
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65098	C₂²	1	1	yes	characteristic, complemented
157	#65098	C₂²	1	1	yes	characteristic, complemented
158	#65095	C₂²	1	1	yes	characteristic
159	#65095	C₂²	1	1	yes	characteristic, complemented
160	#65093	C₂²	1	1	yes	characteristic
161	#65092	C₂²	1	1	yes	characteristic
162	#65092	C₂²	1	1	yes	characteristic, complemented
163	#65092	C₂²	1	1	yes	characteristic, complemented
164	#65087	C₂²	1	1	yes	characteristic, complemented
165	#65085	C₂²	1	1	yes	characteristic, complemented
166	#65080	C₂²	1	1	yes	characteristic, complemented
167	#65078	C₂²	1	1	yes	characteristic, complemented
168	#65077	C₂²	1	1	yes	characteristic, complemented
169	#65077	C₂²	1	1	yes	characteristic, complemented
170	#65077	C₂²	1	1	yes	characteristic, complemented
171	#65075	C₂²	1	1	yes	characteristic, complemented
172	#65074	C₂²	1	1	yes	characteristic, complemented
173	#65074	C₂²	1	1	yes	characteristic, complemented
174	#65066	C₂²	1	1	yes	characteristic
175	#65066	C₂²	1	1	yes	characteristic
176	#65062	C₂²	1	1	yes	characteristic
177	#65062	C₂²	1	1	yes	characteristic, complemented
178	#65061	C₂²	1	1	yes	characteristic
179	#65060	C₂²	1	1	yes	characteristic
180	D₅×#102	C₂²	1	1	yes	characteristic, complemented
181	D₅×#102	C₂²	1	1	yes	characteristic, complemented
182	#65055	C₂²	1	1	yes	characteristic, complemented
183	#65051	C₂²	1	1	yes	characteristic, complemented
184	#65050	C₂²	1	1	yes	characteristic, complemented
185	#65046	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65025	C₂²	1	1	yes	characteristic, complemented
188	#65024	C₂²	1	1	yes	characteristic, complemented
189	#65023	C₂²	1	1	yes	characteristic
190	#65023	C₂²	1	1	yes	characteristic, complemented
191	#65015	C₂²	1	1	yes	characteristic
192	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
193	#65009	C₂²	1	1	yes	characteristic, complemented
194	#65009	C₂²	1	1	yes	characteristic, complemented
195	#65000	C₂²	1	1	yes	characteristic, complemented
196	#64999	C₂²	1	1	yes	characteristic, complemented
197	#64997	C₂²	1	1	yes	characteristic, complemented
198	#64994	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic, complemented
202	#64974	C₂²	1	1	yes	characteristic, complemented
203	#60588	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	D₅×#41	—	2	4	no	—
206	D₅×#41	—	2	4	no	—
207	C₂×#713	—	2	1	no	—
208	C₂×#713	C₂³	1	1	yes	characteristic
209	C₂×#713	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
211	C₂×#711	—	2	1	no	—
212	C₂×#711	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₅	—	2	1	no	—
214	C₂×D₄×D₅	—	2	1	no	—
215	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
217	C₂×#709	—	2	1	no	—
218	C₂×#709	—	2	1	no	—
219	C₂×#709	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₅	—	2	1	no	—
221	C₂²×C₄×D₅	—	2	1	no	—
222	C₂²×C₄×D₅	—	2	1	no	—
223	C₂²×C₄×D₅	—	2	1	no	—
224	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
229	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
230	C₅×#126	—	2	1	no	—
231	C₅×#124	—	2	1	no	—
232	C₅×#124	C₂³	1	1	yes	characteristic
233	C₅×#123	—	2	1	no	—
234	C₅×C₂²⋊Q₈	—	2	1	no	—
235	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₅×#121	C₂³	1	1	yes	characteristic
237	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
238	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
239	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
240	C₄×C₅×D₄	—	2	1	no	—
241	C₄×C₅×D₄	—	2	1	no	—
242	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
243	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
244	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
245	C₅×#117	—	2	1	no	—
246	C₅×#117	C₂³	1	1	yes	characteristic
247	C₂×C₅×C₄⋊C₄	—	2	1	no	—
248	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	#4093	—	2	1	no	—
250	#4093	C₂³	1	1	yes	characteristic
251	#4092	—	2	1	no	—
252	#4092	C₂³	1	1	yes	characteristic
253	Q₈×Dic₅	C₂³	1	1	yes	characteristic
254	Q₈×Dic₅	C₂³	1	1	yes	characteristic
255	Q₈×Dic₅	C₂³	1	1	yes	characteristic
256	#4090	—	2	1	no	—
257	C₂×#689	C₂³	1	1	yes	characteristic
258	C₂×#688	C₂³	1	1	yes	characteristic
259	C₂×#688	C₂³	1	1	yes	characteristic
260	C₂×#688	C₂³	1	1	yes	characteristic
261	#4086	C₂³	1	1	yes	characteristic
262	#4085	—	2	1	no	—
263	#4085	—	2	1	no	—
264	#4084	—	2	1	no	—
265	#4084	C₂³	1	1	yes	characteristic
266	D₄×Dic₅	—	2	1	no	—
267	D₄×Dic₅	—	2	1	no	—
268	D₄×Dic₅	C₂³	1	1	yes	characteristic
269	D₄×Dic₅	C₂³	1	1	yes	characteristic
270	D₄×Dic₅	C₂³	1	1	yes	characteristic
271	C₂×#687	C₂³	1	1	yes	characteristic
272	C₂×#686	C₂³	1	1	yes	characteristic
273	C₂×#686	C₂³	1	1	yes	characteristic
274	C₂×#686	C₂³	1	1	yes	characteristic
275	#4076	C₂³	1	1	yes	characteristic
276	#4076	C₂³	1	1	yes	characteristic
277	C₄×C₂²⋊D₅	—	2	1	no	—
278	C₄×C₂²⋊D₅	—	2	1	no	—
279	C₄×C₂²⋊D₅	—	2	1	no	—
280	C₄×C₂²⋊D₅	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	—	2	1	no	—
283	C₄×C₂²⋊D₅	—	2	1	no	—
284	C₄×C₂²⋊D₅	—	2	1	no	—
285	C₂×#685	—	2	1	no	—
286	#4072	—	2	1	no	—
287	#4072	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₅	—	2	1	no	—
289	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
290	C₂×#683	—	2	1	no	—
291	C₂×#683	—	2	1	no	—
292	C₂×#683	—	2	1	no	—
293	#4065	—	2	4	no	—
294	#4062	—	2	4	no	—
295	#4060	—	2	4	no	—
296	#4057	—	2	4	no	—
297	C₂×D₄₀	C₂³	1	1	yes	characteristic
298	C₂×D₄₀	C₂³	1	1	yes	characteristic
299	C₂×#677	C₂³	1	1	yes	characteristic
300	C₂×#677	C₂³	1	1	yes	characteristic
301	C₂×#676	C₂³	1	1	yes	characteristic
302	C₂×#676	C₂³	1	1	yes	characteristic
303	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
304	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
305	#4044	—	2	1	no	—
306	#4044	—	2	1	no	—
307	#4043	—	2	1	no	—
308	#4042	—	2	1	no	—
309	#4041	—	2	1	no	—
310	#4041	C₂³	1	1	yes	characteristic
311	#4041	C₂³	1	1	yes	characteristic
312	#4040	—	2	1	no	—
313	#4040	—	2	1	no	—
314	#4040	—	2	1	no	—
315	#4040	—	2	1	no	—
316	#4039	—	2	1	no	—
317	#4039	—	2	1	no	—
318	#4039	—	2	1	no	—
319	#4039	—	2	1	no	—
320	#4039	—	2	1	no	—
321	#4039	C₂³	1	1	yes	characteristic
322	#4039	C₂³	1	1	yes	characteristic
323	#4039	C₂³	1	1	yes	characteristic
324	#4039	C₂³	1	1	yes	characteristic
325	#4038	—	2	1	no	—
326	#4038	—	2	1	no	—
327	#4038	D₄	1	1	yes	characteristic
328	#4038	D₄	1	1	yes	characteristic
329	#4038	C₂³	1	1	yes	characteristic
330	D₅×C₄⋊C₄	—	2	1	no	—
331	D₅×C₄⋊C₄	—	2	1	no	—
332	D₅×C₄⋊C₄	—	2	1	no	—
333	D₅×C₄⋊C₄	—	2	1	no	—
334	D₅×C₄⋊C₄	—	2	1	no	—
335	D₅×C₄⋊C₄	—	2	1	no	—
336	D₅×C₄⋊C₄	—	2	1	no	—
337	D₅×C₄⋊C₄	—	2	1	no	—
338	D₅×C₄⋊C₄	—	2	1	no	—
339	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
340	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
341	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
342	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
343	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
344	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
345	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
346	#4036	C₂³	1	1	yes	characteristic
347	#4035	—	2	1	no	—
348	#4034	C₂³	1	1	yes	characteristic
349	#4033	—	2	1	no	—
350	#4033	—	2	1	no	—
351	#4033	C₂³	1	1	yes	characteristic
352	#4033	C₂³	1	1	yes	characteristic
353	#4032	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4030	—	2	1	no	—
358	#4030	—	2	1	no	—
359	#4030	—	2	1	no	—
360	#4030	—	2	1	no	—
361	#4030	—	2	1	no	—
362	#4029	—	2	1	no	—
363	#4029	—	2	1	no	—
364	#4029	—	2	1	no	—
365	#4028	—	2	1	no	—
366	#4028	—	2	1	no	—
367	#4028	—	2	1	no	—
368	#4027	—	2	1	no	—
369	#4027	—	2	1	no	—
370	#4027	—	2	1	no	—
371	#4027	—	2	1	no	—
372	#4027	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	#4027	—	2	1	no	—
376	#4027	—	2	1	no	—
377	D₅×C₂²⋊C₄	—	2	1	no	—
378	D₅×C₂²⋊C₄	—	2	1	no	—
379	D₅×C₂²⋊C₄	—	2	1	no	—
380	D₅×C₂²⋊C₄	—	2	1	no	—
381	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
382	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
383	#4025	—	2	1	no	—
384	#4023	—	2	1	no	—
385	#4023	—	2	1	no	—
386	#4023	—	2	1	no	—
387	#4023	D₄	1	1	yes	characteristic
388	#4023	D₄	1	1	yes	characteristic
389	#4020	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	—	2	1	no	—
391	C₄×D₂₀	—	2	1	no	—
392	C₄×D₂₀	—	2	1	no	—
393	C₄×D₂₀	—	2	1	no	—
394	C₄×D₂₀	C₂³	1	1	yes	characteristic
395	C₄×D₂₀	C₂³	1	1	yes	characteristic
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	C₄×D₂₀	C₂³	1	1	yes	characteristic
398	#4018	—	2	1	no	—
399	#4018	—	2	1	no	—
400	#4018	—	2	1	no	—
401	#4018	—	2	1	no	—
402	#4018	C₂³	1	1	yes	characteristic
403	#4018	C₂³	1	1	yes	characteristic
404	C₄²×D₅	—	2	1	no	—
405	C₄²×D₅	—	2	1	no	—
406	C₄²×D₅	C₂³	1	1	yes	characteristic
407	C₄²×D₅	C₂³	1	1	yes	characteristic
408	#4016	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₀	—	2	1	no	—
410	C₄×Dic₁₀	—	2	1	no	—
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
413	C₅×#106	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×#106	C₂³	1	1	yes	characteristic
416	C₅×#106	C₂³	1	1	yes	characteristic
417	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#103	C₂³	1	1	yes	characteristic
422	C₅×#103	C₂³	1	1	yes	characteristic
423	C₅×#102	C₂³	1	1	yes	characteristic
424	C₅×#102	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×#102	C₂³	1	1	yes	characteristic
427	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₅×#97	C₂³	1	1	yes	characteristic
430	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3967	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	#3964	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic
438	#3964	C₂³	1	1	yes	characteristic
439	C₂²⋊#168	C₂³	1	1	yes	characteristic
440	C₂²⋊#168	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3953	C₂³	1	1	yes	characteristic
444	#3953	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3952	C₂³	1	1	yes	characteristic
448	#3952	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3952	C₂³	1	1	yes	characteristic
451	#3950	C₂³	1	1	yes	characteristic
452	#3950	C₂³	1	1	yes	characteristic
453	#3949	C₂³	1	1	yes	characteristic
454	#3949	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	#3946	C₂³	1	1	yes	characteristic
462	#3946	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	C₂³	1	1	yes	characteristic
477	#3940	C₂³	1	1	yes	characteristic
478	#3940	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	#3935	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3494	—	5	1	no	—
486	C₂×#520	—	5	1	no	—
487	#3125	—	5	1	no	—
488	#3125	—	5	1	no	—
489	#3125	—	5	1	no	—
490	#3125	D₅	1	1	yes	characteristic, complemented
491	#3119	—	5	1	no	—
492	#3119	—	5	1	no	—
493	#3119	—	5	1	no	—
494	#3119	—	5	1	no	—
495	#3117	—	5	1	no	—
496	#3117	—	5	1	no	—
497	#3109	—	5	1	no	—
498	#3109	—	5	1	no	—
499	#3105	—	5	1	no	—
500	#3105	—	5	1	no	—
501	#3103	—	5	1	no	—
502	#3103	—	5	1	no	—
503	#3092	—	5	1	no	—
504	C₂×#481	—	5	1	no	—
505	#3084	—	5	1	no	—
506	#3084	—	5	1	no	—
507	#3045	—	5	1	no	—
508	#3045	—	5	1	no	—
509	#3006	—	5	1	no	—
510	#3002	—	5	1	no	—
511	#2952	—	5	1	no	—
512	#2952	—	5	1	no	—
513	#2946	—	5	1	no	—
514	#2946	—	5	1	no	—
515	#2924	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₂³×D₅	—	2	1	no	—
518	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
519	C₅×#41	—	2	2	no	—
520	C₅×#41	—	2	2	no	—
521	C₂×C₅×Q₈	—	2	1	no	—
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	—	2	1	no	—
532	C₂²×C₄×C₅	—	2	1	no	—
533	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	C₂²×Dic₅	—	2	1	no	—
547	C₂²×Dic₅	—	2	1	no	—
548	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
549	#713	—	2	2	no	—
550	#713	—	2	2	no	—
551	#713	—	2	2	no	—
552	#713	—	8	2	no	—
553	#713	#41	1	4	yes	complemented
554	Q₈×D₅	—	2	2	no	—
555	Q₈×D₅	—	2	2	no	—
556	#711	—	2	8	no	—
557	#711	—	2	2	no	—
558	#711	#41	1	4	yes	complemented
559	D₄×D₅	—	2	8	no	—
560	D₄×D₅	—	2	2	no	—
561	D₄×D₅	—	2	2	no	—
562	D₄×D₅	—	2	2	no	—
563	D₄×D₅	—	2	2	no	—
564	D₄×D₅	—	8	2	no	—
565	#709	—	2	8	no	—
566	#709	—	2	2	no	—
567	#709	—	2	2	no	—
568	#709	—	8	2	no	—
569	C₂×D₂₀	—	2	1	no	—
570	C₂×D₂₀	—	2	1	no	—
571	C₂×D₂₀	—	2	1	no	—
572	C₂×D₂₀	—	2	1	no	—
573	C₂×D₂₀	—	2	1	no	—
574	C₂×D₂₀	—	2	1	no	—
575	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
576	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
577	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
578	C₂×C₄×D₅	—	2	8	no	—
579	C₂×C₄×D₅	—	2	1	no	—
580	C₂×C₄×D₅	—	2	1	no	—
581	C₂×C₄×D₅	—	2	1	no	—
582	C₂×C₄×D₅	—	2	2	no	—
583	C₂×C₄×D₅	—	2	2	no	—
584	C₂×C₄×D₅	—	2	1	no	—
585	C₂×C₄×D₅	—	2	1	no	—
586	C₂×C₄×D₅	—	2	1	no	—
587	C₂×C₄×D₅	—	2	1	no	—
588	C₂×C₄×D₅	—	2	1	no	—
589	C₂×C₄×D₅	—	2	1	no	—
590	C₂×C₄×D₅	—	2	1	no	—
591	C₂×C₄×D₅	—	2	1	no	—
592	C₂×C₄×D₅	—	2	1	no	—
593	C₂×C₄×D₅	—	2	1	no	—
594	C₂×C₄×D₅	—	2	1	no	—
595	C₂×C₄×D₅	—	2	1	no	—
596	C₂×C₄×D₅	—	2	1	no	—
597	C₂×C₄×D₅	—	2	1	no	—
598	C₂×C₄×D₅	—	8	2	no	—
599	C₂×C₄×D₅	—	8	2	no	—
600	C₂×C₄×D₅	—	8	2	no	—
601	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
602	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
603	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
604	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
605	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
606	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
607	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
609	C₂×Dic₁₀	—	2	1	no	—
610	C₂×Dic₁₀	—	2	1	no	—
611	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
612	C₅×Q₁₆	—	2	2	no	—
613	C₅×SD₁₆	—	2	2	no	—
614	C₅×SD₁₆	—	2	2	no	—
615	C₅×D₈	—	2	2	no	—
616	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
617	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
618	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
619	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
620	C₅×C₄⋊C₄	—	2	1	no	—
621	C₅×C₄⋊C₄	—	2	1	no	—
622	C₅×C₄⋊C₄	—	2	1	no	—
623	C₅×C₄⋊C₄	—	2	1	no	—
624	C₅×C₄⋊C₄	—	2	1	no	—
625	C₅×C₄⋊C₄	—	2	1	no	—
626	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₅×C₂²⋊C₄	—	2	1	no	—
633	C₅×C₂²⋊C₄	—	2	1	no	—
634	C₅×C₂²⋊C₄	—	2	1	no	—
635	C₅×C₂²⋊C₄	—	2	1	no	—
636	C₅×C₂²⋊C₄	—	2	1	no	—
637	C₅×C₂²⋊C₄	—	2	1	no	—
638	C₅×C₂²⋊C₄	—	2	1	no	—
639	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₄²×C₅	—	2	1	no	—
642	C₄²×C₅	—	2	1	no	—
643	C₄²×C₅	—	2	1	no	—
644	C₄²×C₅	C₂⁴	1	1	yes	characteristic
645	C₄²×C₅	C₂⁴	1	1	yes	characteristic
646	C₂²⋊Dic₅	—	2	1	no	—
647	C₂²⋊Dic₅	—	2	1	no	—
648	C₂²⋊Dic₅	—	2	1	no	—
649	C₂²⋊Dic₅	—	2	1	no	—
650	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
651	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
652	#689	—	2	2	no	—
653	#688	—	2	2	no	—
654	#688	—	2	2	no	—
655	#688	—	2	2	no	—
656	#687	—	2	2	no	—
657	#686	—	2	2	no	—
658	#686	—	2	2	no	—
659	#686	—	2	2	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	—	2	1	no	—
672	#685	—	2	1	no	—
673	#685	—	2	1	no	—
674	#685	—	2	1	no	—
675	#685	—	2	1	no	—
676	#685	C₂×D₄	1	1	yes	characteristic
677	#685	C₂×D₄	1	1	yes	characteristic
678	#685	C₂×D₄	1	1	yes	characteristic
679	#685	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
686	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
687	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
688	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
689	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
690	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	—	2	1	no	—
705	#683	C₂×D₄	1	1	yes	characteristic
706	#683	C₂×D₄	1	1	yes	characteristic
707	#683	C₂×D₄	1	1	yes	characteristic
708	#683	C₂×D₄	1	1	yes	characteristic
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
719	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₂×#168	C₂⁴	1	1	yes	characteristic
724	C₂×#168	C₂⁴	1	1	yes	characteristic
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	D₄₀	—	2	2	no	—
728	D₄₀	—	2	2	no	—
729	#677	—	2	2	no	—
730	#677	—	2	2	no	—
731	#676	—	2	2	no	—
732	#676	—	2	2	no	—
733	C₈×D₅	—	2	2	no	—
734	C₈×D₅	—	2	2	no	—
735	C₂²×#41	—	5	1	no	—
736	C₂×AGL(1,ℤ/8)	—	5	1	no	—
737	C₂×AGL(1,ℤ/8)	—	5	1	no	—
738	C₂×#135	—	5	1	no	—
739	C₂×#135	—	5	1	no	—
740	#555	—	10	1	no	—
741	#553	—	10	1	no	—
742	#553	—	10	1	no	—
743	#551	—	10	1	no	—
744	#551	—	10	1	no	—
745	#547	—	10	1	no	—
746	#546	—	10	1	no	—
747	#546	—	10	1	no	—
748	#544	—	5	1	no	—
749	#542	—	5	1	no	—
750	#542	C₂×D₅	1	1	yes	characteristic, complemented
751	#540	—	5	1	no	—
752	#540	—	5	1	no	—
753	#535	—	5	1	no	—
754	#532	—	5	1	no	—
755	#532	—	5	1	no	—
756	#529	—	5	1	no	—
757	#529	—	5	1	no	—
758	#525	—	5	1	no	—
759	C₂×#121	—	5	1	no	—
760	#520	—	5	1	no	—
761	#520	—	5	1	no	—
762	#520	—	5	1	no	—
763	#520	—	5	1	no	—
764	#520	—	5	1	no	—
765	#520	—	5	1	no	—
766	#520	—	5	1	no	—
767	#520	—	5	1	no	—
768	#520	—	10	1	no	—
769	#520	—	10	1	no	—
770	#520	—	10	1	no	—
771	#520	—	10	1	no	—
772	#520	C₂×D₅	1	1	yes	characteristic, complemented
773	#518	—	5	1	no	—
774	C₂×C₄×Q₈	—	5	1	no	—
775	C₂×C₄×Q₈	—	5	1	no	—
776	C₂×C₄×D₄	—	5	1	no	—
777	C₂×C₄×D₄	—	5	1	no	—
778	C₂×C₄×D₄	—	10	1	no	—
779	C₂×C₄×D₄	—	10	1	no	—
780	C₂×#117	—	5	1	no	—
781	C₂×#117	—	10	1	no	—
782	C₂²×C₄⋊C₄	—	5	1	no	—
783	C₂²×C₄⋊C₄	—	10	1	no	—
784	#484	—	5	1	no	—
785	#484	—	5	1	no	—
786	#483	—	5	1	no	—
787	#483	C₂×D₅	1	1	yes	characteristic, complemented
788	#481	—	5	1	no	—
789	#481	—	5	1	no	—
790	#481	—	5	1	no	—
791	#481	—	5	1	no	—
792	#481	—	5	1	no	—
793	#481	—	5	1	no	—
794	#481	—	5	1	no	—
795	#481	—	5	1	no	—
796	#481	—	5	1	no	—
797	#481	C₂×D₅	1	1	yes	characteristic, complemented
798	#480	—	5	1	no	—
799	#480	—	5	1	no	—
800	#479	—	5	1	no	—
801	#479	—	5	1	no	—
802	#479	—	5	1	no	—
803	#479	—	5	1	no	—
804	#478	—	5	1	no	—
805	#478	—	5	1	no	—
806	#478	—	5	1	no	—
807	#478	—	5	1	no	—
808	#476	—	5	1	no	—
809	#476	—	5	1	no	—
810	#476	—	5	1	no	—
811	#476	C₂×D₅	1	1	yes	characteristic, complemented
812	#475	—	5	1	no	—
813	#475	—	5	1	no	—
814	#475	—	5	1	no	—
815	#475	C₂×D₅	1	1	yes	characteristic, complemented
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	C₂×D₅	1	1	yes	characteristic, complemented
820	#463	—	5	1	no	—
821	#463	—	5	1	no	—
822	#463	—	5	1	no	—
823	#463	C₂×D₅	1	1	yes	characteristic, complemented
824	#460	—	5	1	no	—
825	#460	—	5	1	no	—
826	#460	—	5	1	no	—
827	#460	—	5	1	no	—
828	#459	—	5	1	no	—
829	#459	—	5	1	no	—
830	#459	—	5	1	no	—
831	#459	—	5	1	no	—
832	#452	—	5	1	no	—
833	#452	C₂×D₅	1	1	yes	characteristic, complemented
834	#451	—	5	1	no	—
835	#450	—	5	1	no	—
836	#449	—	5	1	no	—
837	#449	—	5	1	no	—
838	#449	—	5	1	no	—
839	#449	—	5	1	no	—
840	#449	—	5	1	no	—
841	#449	C₂×D₅	1	1	yes	characteristic
842	#448	—	5	1	no	—
843	#448	—	5	1	no	—
844	#448	—	5	1	no	—
845	#447	—	5	1	no	—
846	#447	—	5	1	no	—
847	#447	—	5	1	no	—
848	#442	—	5	1	no	—
849	#442	—	5	1	no	—
850	#442	—	5	1	no	—
851	#442	—	5	1	no	—
852	#442	—	5	1	no	—
853	#442	—	5	1	no	—
854	#442	—	5	1	no	—
855	#442	C₂×D₅	1	1	yes	characteristic, complemented
856	#441	—	5	1	no	—
857	#441	—	5	1	no	—
858	#441	—	5	1	no	—
859	#441	C₂×D₅	1	1	yes	characteristic, complemented
860	#440	—	5	1	no	—
861	#440	—	5	1	no	—
862	#440	—	5	1	no	—
863	#440	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×SD₁₆	—	5	1	no	—
871	C₄×SD₁₆	—	5	1	no	—
872	C₄×SD₁₆	—	5	1	no	—
873	C₄×SD₁₆	—	5	1	no	—
874	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
875	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
876	C₄×D₈	—	5	1	no	—
877	C₄×D₈	—	5	1	no	—
878	C₄×D₈	—	5	1	no	—
879	C₄×D₈	—	5	1	no	—
880	#433	—	5	1	no	—
881	#433	—	5	1	no	—
882	#433	—	5	1	no	—
883	#433	C₂×D₅	1	1	yes	characteristic, complemented
884	#432	—	5	1	no	—
885	#432	—	5	1	no	—
886	#431	—	5	1	no	—
887	#431	—	5	1	no	—
888	#428	—	5	1	no	—
889	#428	—	5	1	no	—
890	C₂×#106	—	5	1	no	—
891	C₂×#106	—	5	1	no	—
892	#424	—	5	1	no	—
893	#424	—	5	1	no	—
894	#417	—	5	1	no	—
895	#417	—	5	1	no	—
896	#417	—	5	1	no	—
897	#417	—	5	1	no	—
898	#416	—	5	1	no	—
899	#416	—	5	1	no	—
900	C₂×#102	—	5	1	no	—
901	C₂×#102	—	5	1	no	—
902	#407	—	5	1	no	—
903	C₂×C₂²⋊C₈	—	5	1	no	—
904	#405	—	5	1	no	—
905	#405	—	5	1	no	—
906	C₂³×C₅	—	2	1	no	—
907	C₂³×C₅	—	2	1	no	—
908	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂²×D₅	—	2	4	no	—
910	C₂²×D₅	—	2	1	no	—
911	C₂²×D₅	—	2	2	no	—
912	C₂²×D₅	—	2	2	no	—
913	C₂²×D₅	—	2	1	no	—
914	C₂²×D₅	—	2	1	no	—
915	C₂²×D₅	—	4	1	no	—
916	C₂²×D₅	—	4	2	no	—
917	C₂²×D₅	—	4	2	no	—
918	C₂²×D₅	—	4	2	no	—
919	C₂²×D₅	—	8	1	no	—
920	C₂²×D₅	—	8	1	no	—
921	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
922	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
923	C₅×Q₈	—	2	1	no	—
924	C₅×Q₈	—	2	1	no	—
925	C₅×Q₈	—	2	1	no	—
926	C₅×Q₈	—	8	1	no	—
927	C₅×Q₈	C₂×#41	1	2	yes	—
928	C₅×D₄	—	2	4	no	—
929	C₅×D₄	—	2	1	no	—
930	C₅×D₄	—	2	1	no	—
931	C₅×D₄	—	2	1	no	—
932	C₅×D₄	—	8	1	no	—
933	C₅×D₄	C₂×#41	1	2	yes	—
934	C₂×C₄×C₅	—	2	4	no	—
935	C₂×C₄×C₅	—	2	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	2	1	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	2	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	2	1	no	—
943	C₂×C₄×C₅	—	8	1	no	—
944	C₂×C₄×C₅	—	8	1	no	—
945	C₂×C₄×C₅	—	8	1	no	—
946	C₂×C₄×C₅	—	8	1	no	—
947	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
953	C₂²⋊D₅	—	2	4	no	—
954	C₂²⋊D₅	—	2	4	no	—
955	C₂²⋊D₅	—	2	4	no	—
956	C₂²⋊D₅	—	4	2	no	—
957	C₂²⋊D₅	—	4	2	no	—
958	C₂²⋊D₅	—	8	1	no	—
959	C₂²⋊D₅	—	8	1	no	—
960	C₂²⋊D₅	—	8	1	no	—
961	C₂²⋊D₅	—	8	1	no	—
962	C₂×Dic₅	—	2	1	no	—
963	C₂×Dic₅	—	2	2	no	—
964	C₂×Dic₅	—	2	4	no	—
965	C₂×Dic₅	—	2	1	no	—
966	C₂×Dic₅	—	2	1	no	—
967	C₂×Dic₅	—	2	1	no	—
968	C₂×Dic₅	—	2	1	no	—
969	C₂×Dic₅	—	8	1	no	—
970	C₂×Dic₅	—	8	1	no	—
971	C₂×Dic₅	—	8	1	no	—
972	C₂×Dic₅	—	8	1	no	—
973	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
974	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
975	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
976	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
977	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
978	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
979	D₂₀	—	2	4	no	—
980	D₂₀	—	2	1	no	—
981	D₂₀	—	2	1	no	—
982	D₂₀	—	2	1	no	—
983	D₂₀	—	2	1	no	—
984	D₂₀	—	2	1	no	—
985	D₂₀	—	4	2	no	—
986	D₂₀	—	4	2	no	—
987	D₂₀	—	4	2	no	—
988	D₂₀	—	8	1	no	—
989	D₂₀	—	8	1	no	—
990	D₂₀	C₂×#41	1	2	yes	—
991	C₄×D₅	—	2	4	no	—
992	C₄×D₅	—	2	4	no	—
993	C₄×D₅	—	2	2	no	—
994	C₄×D₅	—	2	2	no	—
995	C₄×D₅	—	2	2	no	—
996	C₄×D₅	—	2	1	no	—
997	C₄×D₅	—	2	1	no	—
998	C₄×D₅	—	2	2	no	—
999	C₄×D₅	—	2	4	no	—
1000	C₄×D₅	—	4	1	no	—
1001	C₄×D₅	—	4	1	no	—
1002	C₄×D₅	—	4	2	no	—
1003	C₄×D₅	—	4	2	no	—
1004	C₄×D₅	—	4	2	no	—
1005	C₄×D₅	—	8	1	no	—
1006	C₄×D₅	—	8	1	no	—
1007	C₄×D₅	—	8	1	no	—
1008	C₄×D₅	—	8	1	no	—
1009	C₄×D₅	—	8	1	no	—
1010	C₄×D₅	—	8	1	no	—
1011	C₄×D₅	—	8	1	no	—
1012	C₄×D₅	—	8	1	no	—
1013	C₄×D₅	—	8	1	no	—
1014	C₄×D₅	—	8	1	no	—
1015	C₄×D₅	—	8	1	no	—
1016	C₄×D₅	C₂×#41	1	2	yes	—
1017	C₄×D₅	C₂×#41	1	2	yes	—
1018	Dic₁₀	—	2	4	no	—
1019	Dic₁₀	—	2	1	no	—
1020	Dic₁₀	—	8	1	no	—
1021	Dic₁₀	C₂×#41	1	2	yes	—
1022	C₅×C₈	—	2	1	no	—
1023	C₅×C₈	—	2	1	no	—
1024	C₅×C₈	—	2	1	no	—
1025	C₅×C₈	—	2	1	no	—
1026	#168	—	2	1	no	—
1027	#168	—	2	1	no	—
1028	#168	—	2	1	no	—
1029	#168	—	2	1	no	—
1030	C₂×#41	—	5	1	no	—
1031	C₂×#41	—	5	1	no	—
1032	C₂×#41	—	5	1	no	—
1033	C₂×#41	—	5	1	no	—
1034	C₂×#41	—	10	1	no	—
1035	C₂×#41	—	10	1	no	—
1036	C₂×#41	—	10	1	no	—
1037	C₂×#41	—	10	1	no	—
1038	C₂×#41	—	10	4	no	—
1039	C₂×#41	—	10	4	no	—
1040	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1041	C₂²×Q₈	—	5	1	no	—
1042	C₂²×D₄	—	5	1	no	—
1043	C₂²×D₄	—	5	1	no	—
1044	C₂²×D₄	—	10	1	no	—
1045	C₂²×D₄	—	10	1	no	—
1046	C₂³×C₄	—	5	1	no	—
1047	C₂³×C₄	—	10	1	no	—
1048	C₂³×C₄	—	10	1	no	—
1049	C₂³×C₄	—	10	1	no	—
1050	C₂³×C₄	—	10	1	no	—
1051	AGL(1,ℤ/8)	—	10	4	no	—
1052	AGL(1,ℤ/8)	—	10	4	no	—
1053	#135	—	10	4	no	—
1054	#135	—	10	4	no	—
1055	C₂×Q₁₆	—	5	1	no	—
1056	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1057	C₂×SD₁₆	—	5	1	no	—
1058	C₂×SD₁₆	—	5	1	no	—
1059	C₂×SD₁₆	—	5	1	no	—
1060	C₂×SD₁₆	—	5	1	no	—
1061	C₂×SD₁₆	—	5	1	no	—
1062	C₂×SD₁₆	—	5	1	no	—
1063	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1065	C₂×D₈	—	5	1	no	—
1066	C₂×D₈	—	5	1	no	—
1067	C₂×D₈	—	5	1	no	—
1068	C₂×D₈	—	5	1	no	—
1069	C₂×D₈	—	5	1	no	—
1070	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1071	C₂×M₁₆	—	5	1	no	—
1072	C₂×M₁₆	—	5	1	no	—
1073	C₂²×C₈	—	5	1	no	—
1074	C₂²×C₈	—	5	1	no	—
1075	C₄⋊Q₈	—	5	1	no	—
1076	C₄⋊Q₈	—	10	1	no	—
1077	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1078	#127	—	5	1	no	—
1079	#127	—	5	1	no	—
1080	#126	—	2	1	no	—
1081	#126	—	10	1	no	—
1082	#126	—	10	1	no	—
1083	#126	—	10	1	no	—
1084	#125	—	5	1	no	—
1085	#125	—	5	1	no	—
1086	#125	—	10	1	no	—
1087	#124	—	2	1	no	—
1088	#124	—	5	1	no	—
1089	#124	—	10	1	no	—
1090	#124	—	10	1	no	—
1091	#124	—	10	1	no	—
1092	#124	C₂²×D₅	1	1	yes	characteristic
1093	#123	—	2	1	no	—
1094	#123	—	10	1	no	—
1095	#123	—	10	1	no	—
1096	#123	—	10	1	no	—
1097	#123	—	10	1	no	—
1098	#123	—	10	1	no	—
1099	#123	—	10	1	no	—
1100	#123	—	10	1	no	—
1101	#123	—	10	1	no	—
1102	C₂²⋊Q₈	—	2	1	no	—
1103	C₂²⋊Q₈	—	5	1	no	—
1104	C₂²⋊Q₈	—	10	1	no	—
1105	C₂²⋊Q₈	—	10	1	no	—
1106	C₂²⋊Q₈	—	10	1	no	—
1107	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1108	#121	—	5	1	no	—
1109	#121	—	5	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	5	1	no	—
1112	#121	—	5	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	—	10	1	no	—
1116	#121	—	10	1	no	—
1117	#121	—	10	1	no	—
1118	#121	—	10	1	no	—
1119	#121	—	10	1	no	—
1120	#121	—	10	1	no	—
1121	#121	—	10	1	no	—
1122	#121	—	10	1	no	—
1123	#121	C₂²×D₅	1	1	yes	characteristic
1124	#120	—	10	1	no	—
1125	#120	—	10	1	no	—
1126	#120	—	10	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	5	1	no	—
1129	C₄×Q₈	—	5	1	no	—
1130	C₄×Q₈	—	5	1	no	—
1131	C₄×Q₈	—	5	1	no	—
1132	C₄×Q₈	—	5	1	no	—
1133	C₄×Q₈	—	5	1	no	—
1134	C₄×Q₈	—	10	1	no	—
1135	C₄×Q₈	—	10	1	no	—
1136	C₄×Q₈	—	10	1	no	—
1137	C₄×Q₈	—	10	1	no	—
1138	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1139	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1140	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	2	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	5	1	no	—
1151	C₄×D₄	—	5	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	5	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	—	10	1	no	—
1168	C₄×D₄	—	10	1	no	—
1169	C₄×D₄	—	10	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	—	10	1	no	—
1172	C₄×D₄	—	10	1	no	—
1173	C₄×D₄	—	10	1	no	—
1174	C₄×D₄	—	10	1	no	—
1175	C₄×D₄	—	10	1	no	—
1176	C₄×D₄	—	10	1	no	—
1177	C₄×D₄	—	10	1	no	—
1178	C₄×D₄	—	10	1	no	—
1179	C₄×D₄	—	10	1	no	—
1180	C₄×D₄	—	10	1	no	—
1181	C₄×D₄	—	10	1	no	—
1182	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1183	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1184	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1185	#117	—	2	1	no	—
1186	#117	—	5	1	no	—
1187	#117	—	5	1	no	—
1188	#117	—	5	1	no	—
1189	#117	—	5	1	no	—
1190	#117	—	5	1	no	—
1191	#117	—	5	1	no	—
1192	#117	—	5	1	no	—
1193	#117	—	5	1	no	—
1194	#117	—	10	1	no	—
1195	#117	—	10	1	no	—
1196	#117	—	10	1	no	—
1197	#117	—	10	1	no	—
1198	#117	—	10	1	no	—
1199	#117	—	10	1	no	—
1200	#117	—	10	1	no	—
1201	#117	—	10	1	no	—
1202	#117	—	10	1	no	—
1203	#117	—	10	1	no	—
1204	#117	C₂²×D₅	1	1	yes	characteristic
1205	C₂×C₄⋊C₄	—	2	1	no	—
1206	C₂×C₄⋊C₄	—	5	1	no	—
1207	C₂×C₄⋊C₄	—	5	1	no	—
1208	C₂×C₄⋊C₄	—	5	1	no	—
1209	C₂×C₄⋊C₄	—	5	1	no	—
1210	C₂×C₄⋊C₄	—	5	1	no	—
1211	C₂×C₄⋊C₄	—	5	1	no	—
1212	C₂×C₄⋊C₄	—	5	1	no	—
1213	C₂×C₄⋊C₄	—	5	1	no	—
1214	C₂×C₄⋊C₄	—	10	1	no	—
1215	C₂×C₄⋊C₄	—	10	1	no	—
1216	C₂×C₄⋊C₄	—	10	1	no	—
1217	C₂×C₄⋊C₄	—	10	1	no	—
1218	C₂×C₄⋊C₄	—	10	1	no	—
1219	C₂×C₄⋊C₄	—	10	1	no	—
1220	C₂×C₄⋊C₄	—	10	1	no	—
1221	C₂×C₄⋊C₄	—	10	1	no	—
1222	C₂×C₄⋊C₄	—	10	1	no	—
1223	C₂×C₄⋊C₄	—	10	1	no	—
1224	C₂×C₄⋊C₄	—	10	1	no	—
1225	C₂×C₄⋊C₄	—	10	1	no	—
1226	C₂×C₄⋊C₄	—	10	1	no	—
1227	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1228	C₂×C₂²⋊C₄	—	5	1	no	—
1229	C₂×C₂²⋊C₄	—	5	1	no	—
1230	C₂×C₂²⋊C₄	—	10	1	no	—
1231	C₂×C₂²⋊C₄	—	10	1	no	—
1232	C₂×C₂²⋊C₄	—	10	1	no	—
1233	C₂×C₂²⋊C₄	—	10	1	no	—
1234	C₂×C₂²⋊C₄	—	10	1	no	—
1235	C₂×C₄²	—	5	1	no	—
1236	C₂×C₄²	—	5	1	no	—
1237	C₂×C₄²	—	10	1	no	—
1238	C₂×C₄²	—	10	1	no	—
1239	#107	—	5	1	no	—
1240	#107	—	5	1	no	—
1241	#107	—	5	1	no	—
1242	#107	—	5	1	no	—
1243	#106	—	5	1	no	—
1244	#106	—	5	1	no	—
1245	#106	—	5	1	no	—
1246	#106	—	5	1	no	—
1247	#106	—	5	1	no	—
1248	#106	—	5	1	no	—
1249	#106	—	5	1	no	—
1250	#106	—	5	1	no	—
1251	#106	C₂²×D₅	1	1	yes	characteristic
1252	#106	C₂²×D₅	1	1	yes	characteristic
1253	#106	C₂²×D₅	1	1	yes	characteristic
1254	#106	C₂²×D₅	1	1	yes	characteristic
1255	C₄⋊C₈	—	5	1	no	—
1256	C₄⋊C₈	—	5	1	no	—
1257	C₄⋊C₈	—	5	1	no	—
1258	C₄⋊C₈	—	5	1	no	—
1259	C₄⋊C₈	—	5	1	no	—
1260	C₄⋊C₈	—	5	1	no	—
1261	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1262	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1263	#103	—	5	1	no	—
1264	#103	—	5	1	no	—
1265	#103	—	5	1	no	—
1266	#103	—	5	1	no	—
1267	#103	—	5	1	no	—
1268	#103	—	5	1	no	—
1269	#103	—	5	1	no	—
1270	#103	—	5	1	no	—
1271	#103	C₂²×D₅	1	1	yes	characteristic
1272	#103	C₂²×D₅	1	1	yes	characteristic
1273	#103	C₂²×D₅	1	1	yes	characteristic
1274	#103	C₂²×D₅	1	1	yes	characteristic
1275	#102	—	5	1	no	—
1276	#102	—	5	1	no	—
1277	#102	—	5	1	no	—
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	—	5	1	no	—
1281	#102	—	5	1	no	—
1282	#102	—	5	1	no	—
1283	#102	—	5	1	no	—
1284	#102	—	5	1	no	—
1285	#102	—	5	1	no	—
1286	#102	—	5	1	no	—
1287	#102	—	5	1	no	—
1288	#102	—	5	1	no	—
1289	#102	—	5	1	no	—
1290	#102	—	5	1	no	—
1291	#102	C₂²×D₅	1	1	yes	characteristic
1292	#102	C₂²×D₅	1	1	yes	characteristic
1293	#102	C₂²×D₅	1	1	yes	characteristic
1294	#102	C₂²×D₅	1	1	yes	characteristic
1295	C₂²⋊C₈	—	5	1	no	—
1296	C₂²⋊C₈	—	5	1	no	—
1297	C₂²⋊C₈	—	5	1	no	—
1298	C₂²⋊C₈	—	5	1	no	—
1299	C₂²⋊C₈	—	5	1	no	—
1300	C₂²⋊C₈	—	5	1	no	—
1301	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1302	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1303	#97	—	5	1	no	—
1304	#97	—	5	1	no	—
1305	#97	—	5	1	no	—
1306	#97	C₂²×D₅	1	1	yes	characteristic
1307	C₄×C₈	—	5	1	no	—
1308	C₄×C₈	—	5	1	no	—
1309	C₄×C₈	—	5	1	no	—
1310	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1311	C₂²×C₅	—	2	1	no	—
1312	C₂²×C₅	—	2	1	no	—
1313	C₂²×C₅	—	2	2	no	—
1314	C₂²×C₅	—	2	1	no	—
1315	C₂²×C₅	—	4	1	no	—
1316	C₂²×C₅	—	4	1	no	—
1317	C₂²×C₅	—	4	1	no	—
1318	C₂²×C₅	—	4	1	no	—
1319	C₂²×C₅	—	4	1	no	—
1320	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1321	C₂×D₅	—	2	1	no	—
1322	C₂×D₅	—	2	1	no	—
1323	C₂×D₅	—	2	1	no	—
1324	C₂×D₅	—	2	1	no	—
1325	C₂×D₅	—	2	2	no	—
1326	C₂×D₅	—	4	4	no	—
1327	C₂×D₅	—	4	8	no	—
1328	C₂×D₅	—	4	1	no	—
1329	C₂×D₅	—	4	1	no	—
1330	C₂×D₅	—	4	1	no	—
1331	C₂×D₅	—	4	1	no	—
1332	C₂×D₅	—	4	1	no	—
1333	C₂×D₅	—	4	1	no	—
1334	C₂×D₅	—	4	1	no	—
1335	C₂×D₅	—	4	1	no	—
1336	C₂×D₅	—	16	2	no	—
1337	C₂×D₅	#525	1	2	yes	—
1338	C₂×D₅	#577	1	2	yes	—
1339	C₄×C₅	—	2	1	no	—
1340	C₄×C₅	—	2	1	no	—
1341	C₄×C₅	—	2	2	no	—
1342	C₄×C₅	—	2	1	no	—
1343	C₄×C₅	—	2	1	no	—
1344	C₄×C₅	—	2	1	no	—
1345	C₄×C₅	—	4	1	no	—
1346	C₄×C₅	—	4	1	no	—
1347	C₄×C₅	—	4	1	no	—
1348	C₄×C₅	—	4	1	no	—
1349	C₄×C₅	—	4	1	no	—
1350	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1351	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1352	Dic₅	—	2	1	no	—
1353	Dic₅	—	2	1	no	—
1354	Dic₅	—	2	1	no	—
1355	Dic₅	—	2	2	no	—
1356	Dic₅	—	2	1	no	—
1357	Dic₅	—	2	1	no	—
1358	Dic₅	—	4	1	no	—
1359	Dic₅	—	4	1	no	—
1360	Dic₅	—	4	1	no	—
1361	Dic₅	—	4	1	no	—
1362	Dic₅	#525	1	2	yes	—
1363	C₂⁴	—	5	1	no	—
1364	C₂⁴	—	10	1	no	—
1365	C₂⁴	—	10	1	no	—
1366	#41	—	2	2	no	—
1367	#41	—	2	2	no	—
1368	#41	—	5	4	no	—
1369	#41	—	5	4	no	—
1370	#41	—	10	2	no	—
1371	#41	—	10	2	no	—
1372	#41	—	10	8	no	—
1373	#41	—	10	2	no	—
1374	#41	—	10	2	no	—
1375	#41	—	10	2	no	—
1376	#41	—	10	2	no	—
1377	#41	—	10	8	no	—
1378	#41	—	40	2	no	—
1379	#41	—	40	2	no	—
1380	C₂×Q₈	—	2	1	no	—
1381	C₂×Q₈	—	5	1	no	—
1382	C₂×Q₈	—	10	1	no	—
1383	C₂×Q₈	—	10	1	no	—
1384	C₂×Q₈	—	10	2	no	—
1385	C₂×Q₈	—	10	2	no	—
1386	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1387	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	5	1	no	—
1391	C₂×D₄	—	5	1	no	—
1392	C₂×D₄	—	5	1	no	—
1393	C₂×D₄	—	10	1	no	—
1394	C₂×D₄	—	10	1	no	—
1395	C₂×D₄	—	10	1	no	—
1396	C₂×D₄	—	10	1	no	—
1397	C₂×D₄	—	10	2	no	—
1398	C₂×D₄	—	10	2	no	—
1399	C₂×D₄	—	10	1	no	—
1400	C₂×D₄	—	10	1	no	—
1401	C₂×D₄	—	10	1	no	—
1402	C₂×D₄	—	10	1	no	—
1403	C₂×D₄	—	10	2	no	—
1404	C₂×D₄	—	10	8	no	—
1405	C₂×D₄	—	10	1	no	—
1406	C₂×D₄	—	10	1	no	—
1407	C₂×D₄	—	10	2	no	—
1408	C₂×D₄	—	10	1	no	—
1409	C₂×D₄	—	10	1	no	—
1410	C₂×D₄	—	10	1	no	—
1411	C₂×D₄	—	10	1	no	—
1412	C₂×D₄	—	10	1	no	—
1413	C₂×D₄	—	40	2	no	—
1414	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1415	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	5	1	no	—
1422	C₂²×C₄	—	5	1	no	—
1423	C₂²×C₄	—	5	1	no	—
1424	C₂²×C₄	—	5	1	no	—
1425	C₂²×C₄	—	5	1	no	—
1426	C₂²×C₄	—	5	1	no	—
1427	C₂²×C₄	—	5	1	no	—
1428	C₂²×C₄	—	5	1	no	—
1429	C₂²×C₄	—	5	1	no	—
1430	C₂²×C₄	—	10	1	no	—
1431	C₂²×C₄	—	10	2	no	—
1432	C₂²×C₄	—	10	2	no	—
1433	C₂²×C₄	—	10	1	no	—
1434	C₂²×C₄	—	10	1	no	—
1435	C₂²×C₄	—	10	1	no	—
1436	C₂²×C₄	—	10	1	no	—
1437	C₂²×C₄	—	10	1	no	—
1438	C₂²×C₄	—	10	1	no	—
1439	C₂²×C₄	—	10	8	no	—
1440	C₂²×C₄	—	10	1	no	—
1441	C₂²×C₄	—	10	1	no	—
1442	C₂²×C₄	—	10	1	no	—
1443	C₂²×C₄	—	10	1	no	—
1444	C₂²×C₄	—	10	1	no	—
1445	C₂²×C₄	—	10	1	no	—
1446	C₂²×C₄	—	10	1	no	—
1447	C₂²×C₄	—	10	1	no	—
1448	C₂²×C₄	—	10	1	no	—
1449	C₂²×C₄	—	10	1	no	—
1450	C₂²×C₄	—	10	1	no	—
1451	C₂²×C₄	—	10	1	no	—
1452	C₂²×C₄	—	10	1	no	—
1453	C₂²×C₄	—	10	1	no	—
1454	C₂²×C₄	—	10	1	no	—
1455	C₂²×C₄	—	40	2	no	—
1456	C₂²×C₄	—	40	2	no	—
1457	C₂²×C₄	—	40	2	no	—
1458	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1459	Q₁₆	—	2	2	no	—
1460	Q₁₆	—	10	2	no	—
1461	SD₁₆	—	2	2	no	—
1462	SD₁₆	—	2	2	no	—
1463	SD₁₆	—	10	2	no	—
1464	SD₁₆	—	10	2	no	—
1465	SD₁₆	—	10	2	no	—
1466	SD₁₆	—	10	2	no	—
1467	SD₁₆	—	10	2	no	—
1468	SD₁₆	—	10	2	no	—
1469	D₈	—	2	2	no	—
1470	D₈	—	10	2	no	—
1471	D₈	—	10	2	no	—
1472	D₈	—	10	2	no	—
1473	D₈	—	10	2	no	—
1474	D₈	—	10	2	no	—
1475	M₁₆	—	10	2	no	—
1476	M₁₆	—	10	2	no	—
1477	C₂×C₈	—	5	1	no	—
1478	C₂×C₈	—	5	1	no	—
1479	C₂×C₈	—	5	1	no	—
1480	C₂×C₈	—	5	1	no	—
1481	C₂×C₈	—	10	2	no	—
1482	C₂×C₈	—	10	2	no	—
1483	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1484	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1485	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1486	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	5	1	no	—
1494	C₄⋊C₄	—	5	1	no	—
1495	C₄⋊C₄	—	5	1	no	—
1496	C₄⋊C₄	—	5	1	no	—
1497	C₄⋊C₄	—	5	1	no	—
1498	C₄⋊C₄	—	5	1	no	—
1499	C₄⋊C₄	—	5	1	no	—
1500	C₄⋊C₄	—	5	1	no	—
1501	C₄⋊C₄	—	5	1	no	—
1502	C₄⋊C₄	—	5	1	no	—
1503	C₄⋊C₄	—	10	1	no	—
1504	C₄⋊C₄	—	10	1	no	—
1505	C₄⋊C₄	—	10	1	no	—
1506	C₄⋊C₄	—	10	1	no	—
1507	C₄⋊C₄	—	10	1	no	—
1508	C₄⋊C₄	—	10	1	no	—
1509	C₄⋊C₄	—	10	1	no	—
1510	C₄⋊C₄	—	10	1	no	—
1511	C₄⋊C₄	—	10	1	no	—
1512	C₄⋊C₄	—	10	1	no	—
1513	C₄⋊C₄	—	10	1	no	—
1514	C₄⋊C₄	—	10	1	no	—
1515	C₄⋊C₄	—	10	1	no	—
1516	C₄⋊C₄	—	10	1	no	—
1517	C₄⋊C₄	—	10	1	no	—
1518	C₄⋊C₄	—	10	1	no	—
1519	C₄⋊C₄	—	10	1	no	—
1520	C₄⋊C₄	—	10	1	no	—
1521	C₄⋊C₄	—	10	1	no	—
1522	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1523	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1524	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1525	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1526	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1527	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	5	1	no	—
1536	C₂²⋊C₄	—	5	1	no	—
1537	C₂²⋊C₄	—	5	1	no	—
1538	C₂²⋊C₄	—	5	1	no	—
1539	C₂²⋊C₄	—	5	1	no	—
1540	C₂²⋊C₄	—	5	1	no	—
1541	C₂²⋊C₄	—	10	1	no	—
1542	C₂²⋊C₄	—	10	1	no	—
1543	C₂²⋊C₄	—	10	1	no	—
1544	C₂²⋊C₄	—	10	1	no	—
1545	C₂²⋊C₄	—	10	1	no	—
1546	C₂²⋊C₄	—	10	1	no	—
1547	C₂²⋊C₄	—	10	1	no	—
1548	C₂²⋊C₄	—	10	1	no	—
1549	C₂²⋊C₄	—	10	1	no	—
1550	C₂²⋊C₄	—	10	1	no	—
1551	C₂²⋊C₄	—	10	1	no	—
1552	C₂²⋊C₄	—	10	1	no	—
1553	C₂²⋊C₄	—	10	1	no	—
1554	C₂²⋊C₄	—	10	1	no	—
1555	C₂²⋊C₄	—	10	1	no	—
1556	C₂²⋊C₄	—	10	1	no	—
1557	C₂²⋊C₄	—	10	1	no	—
1558	C₂²⋊C₄	—	10	1	no	—
1559	C₂²⋊C₄	—	10	1	no	—
1560	C₂²⋊C₄	—	10	1	no	—
1561	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1562	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1563	C₄²	—	2	1	no	—
1564	C₄²	—	2	1	no	—
1565	C₄²	—	2	1	no	—
1566	C₄²	—	5	1	no	—
1567	C₄²	—	5	1	no	—
1568	C₄²	—	5	1	no	—
1569	C₄²	—	5	1	no	—
1570	C₄²	—	5	1	no	—
1571	C₄²	—	5	1	no	—
1572	C₄²	—	10	1	no	—
1573	C₄²	—	10	1	no	—
1574	C₄²	—	10	1	no	—
1575	C₄²	—	10	1	no	—
1576	C₄²	—	10	1	no	—
1577	C₄²	—	10	1	no	—
1578	C₄²	—	10	1	no	—
1579	C₄²	—	10	1	no	—
1580	C₄²	C₂³×D₅	1	1	yes	characteristic
1581	C₄²	C₂³×D₅	1	1	yes	characteristic
1582	C₂×C₅	—	4	1	no	—
1583	C₂×C₅	—	4	2	no	—
1584	C₂×C₅	—	8	1	no	—
1585	C₂×C₅	C₂×#525	1	1	yes	characteristic
1586	C₂×C₅	C₂×#577	1	1	yes	characteristic
1587	C₂×C₅	#3585	1	1	yes	characteristic
1588	D₅	—	2	2	no	—
1589	D₅	—	2	2	no	—
1590	D₅	—	4	2	no	—
1591	D₅	—	8	1	no	—
1592	D₅	—	8	1	no	—
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	1	no	—
1595	C₂³	—	5	1	no	—
1596	C₂³	—	5	1	no	—
1597	C₂³	—	10	2	no	—
1598	C₂³	—	10	2	no	—
1599	C₂³	—	10	4	no	—
1600	C₂³	—	10	1	no	—
1601	C₂³	—	10	1	no	—
1602	C₂³	—	10	1	no	—
1603	C₂³	—	20	1	no	—
1604	C₂³	—	20	2	no	—
1605	C₂³	—	20	2	no	—
1606	C₂³	—	20	2	no	—
1607	C₂³	—	40	1	no	—
1608	C₂³	—	40	1	no	—
1609	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1610	Q₈	—	2	1	no	—
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	5	2	no	—
1614	Q₈	—	8	1	no	—
1615	Q₈	—	10	4	no	—
1616	Q₈	—	10	1	no	—
1617	Q₈	—	40	1	no	—
1618	Q₈	D₅×#41	1	2	yes	—
1619	D₄	—	2	4	no	—
1620	D₄	—	2	1	no	—
1621	D₄	—	2	1	no	—
1622	D₄	—	2	1	no	—
1623	D₄	—	5	2	no	—
1624	D₄	—	8	1	no	—
1625	D₄	—	10	4	no	—
1626	D₄	—	10	4	no	—
1627	D₄	—	10	4	no	—
1628	D₄	—	10	4	no	—
1629	D₄	—	10	1	no	—
1630	D₄	—	10	1	no	—
1631	D₄	—	10	1	no	—
1632	D₄	—	10	1	no	—
1633	D₄	—	10	1	no	—
1634	D₄	—	20	2	no	—
1635	D₄	—	20	2	no	—
1636	D₄	—	20	2	no	—
1637	D₄	—	20	2	no	—
1638	D₄	—	20	2	no	—
1639	D₄	—	40	1	no	—
1640	D₄	—	40	1	no	—
1641	D₄	—	40	1	no	—
1642	D₄	—	40	1	no	—
1643	D₄	—	40	1	no	—
1644	D₄	—	40	1	no	—
1645	D₄	D₅×#41	1	2	yes	—
1646	C₂×C₄	—	2	4	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	5	1	no	—
1656	C₂×C₄	—	5	2	no	—
1657	C₂×C₄	—	5	2	no	—
1658	C₂×C₄	—	5	1	no	—
1659	C₂×C₄	—	5	1	no	—
1660	C₂×C₄	—	5	1	no	—
1661	C₂×C₄	—	5	1	no	—
1662	C₂×C₄	—	5	1	no	—
1663	C₂×C₄	—	8	1	no	—
1664	C₂×C₄	—	8	1	no	—
1665	C₂×C₄	—	8	1	no	—
1666	C₂×C₄	—	8	1	no	—
1667	C₂×C₄	—	10	2	no	—
1668	C₂×C₄	—	10	4	no	—
1669	C₂×C₄	—	10	2	no	—
1670	C₂×C₄	—	10	2	no	—
1671	C₂×C₄	—	10	2	no	—
1672	C₂×C₄	—	10	4	no	—
1673	C₂×C₄	—	10	4	no	—
1674	C₂×C₄	—	10	2	no	—
1675	C₂×C₄	—	10	4	no	—
1676	C₂×C₄	—	10	1	no	—
1677	C₂×C₄	—	10	1	no	—
1678	C₂×C₄	—	10	1	no	—
1679	C₂×C₄	—	10	1	no	—
1680	C₂×C₄	—	10	1	no	—
1681	C₂×C₄	—	10	1	no	—
1682	C₂×C₄	—	10	1	no	—
1683	C₂×C₄	—	20	1	no	—
1684	C₂×C₄	—	20	1	no	—
1685	C₂×C₄	—	20	2	no	—
1686	C₂×C₄	—	20	2	no	—
1687	C₂×C₄	—	20	2	no	—
1688	C₂×C₄	—	40	1	no	—
1689	C₂×C₄	—	40	1	no	—
1690	C₂×C₄	—	40	1	no	—
1691	C₂×C₄	—	40	1	no	—
1692	C₂×C₄	—	40	1	no	—
1693	C₂×C₄	—	40	1	no	—
1694	C₂×C₄	—	40	1	no	—
1695	C₂×C₄	—	40	1	no	—
1696	C₂×C₄	—	40	1	no	—
1697	C₂×C₄	—	40	1	no	—
1698	C₂×C₄	—	40	1	no	—
1699	C₂×C₄	—	40	1	no	—
1700	C₂×C₄	—	40	1	no	—
1701	C₂×C₄	—	40	1	no	—
1702	C₂×C₄	—	40	1	no	—
1703	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1704	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1705	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1706	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1707	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1708	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1709	C₈	—	2	1	no	—
1710	C₈	—	2	1	no	—
1711	C₈	—	2	1	no	—
1712	C₈	—	2	1	no	—
1713	C₈	—	10	1	no	—
1714	C₈	—	10	1	no	—
1715	C₈	—	10	1	no	—
1716	C₈	—	10	1	no	—
1717	C₅	#60588	1	1	yes	characteristic, complemented, Sylow
1718	C₂²	—	2	1	no	—
1719	C₂²	—	2	2	no	—
1720	C₂²	—	2	1	no	—
1721	C₂²	—	2	1	no	—
1722	C₂²	—	4	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	5	2	no	—
1728	C₂²	—	5	2	no	—
1729	C₂²	—	10	1	no	—
1730	C₂²	—	10	1	no	—
1731	C₂²	—	10	1	no	—
1732	C₂²	—	10	1	no	—
1733	C₂²	—	10	2	no	—
1734	C₂²	—	20	4	no	—
1735	C₂²	—	20	8	no	—
1736	C₂²	—	20	1	no	—
1737	C₂²	—	20	1	no	—
1738	C₂²	—	20	1	no	—
1739	C₂²	—	20	1	no	—
1740	C₂²	—	20	1	no	—
1741	C₂²	—	20	1	no	—
1742	C₂²	—	20	1	no	—
1743	C₂²	—	20	1	no	—
1744	C₂²	—	80	2	no	—
1745	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1746	C₄	—	2	1	no	—
1747	C₄	—	2	2	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	2	1	no	—
1750	C₄	—	2	1	no	—
1751	C₄	—	2	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	4	1	no	—
1757	C₄	—	5	2	no	—
1758	C₄	—	10	1	no	—
1759	C₄	—	10	2	no	—
1760	C₄	—	10	1	no	—
1761	C₄	—	10	1	no	—
1762	C₄	—	10	1	no	—
1763	C₄	—	10	1	no	—
1764	C₄	—	20	1	no	—
1765	C₄	—	20	1	no	—
1766	C₄	—	20	1	no	—
1767	C₄	—	20	1	no	—
1768	C₄	C₂×D₅×#41	1	1	yes	characteristic
1769	C₄	C₂×D₅×#41	1	1	yes	characteristic
1770	C₂	—	4	1	no	—
1771	C₂	—	4	2	no	—
1772	C₂	—	8	1	no	—
1773	C₂	—	10	2	no	—
1774	C₂	—	10	2	no	—
1775	C₂	—	20	2	no	—
1776	C₂	—	40	1	no	—
1777	C₂	—	40	1	no	—
1778	C₂	D₅×#525	1	1	yes	characteristic
1779	C₂	D₅×#577	1	1	yes	characteristic
1780	C₂	#10619108	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×#3125	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3125	D₅
hypocenter	C₅	#60588
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3125

Complements

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

N	H ≅ G/N	type
1. #10618451	C₂	semidirect
2. D₅×#520	C₂	semidirect
3. C₅×#3125	C₂	semidirect
4. #10615193	C₂	semidirect
5. #10614299	C₂	semidirect
6. #10613158	C₂	semidirect
7. #10613148	C₂	semidirect
8. D₅×#481	C₂	semidirect
9. #10613043	C₂	semidirect
10. #10612794	C₂	semidirect
11. #10612777	C₂	semidirect
12. #10612745	C₂	semidirect
13. #10612727	C₂	semidirect
14. #10612333	C₂	semidirect
15. #10612302	C₂	semidirect
16. #10612269	C₂	semidirect
17. #10612236	C₂	semidirect
18. #10611957	C₂	semidirect
19. #10611950	C₂	semidirect
20. #10611815	C₂	semidirect
21. #10611803	C₂	semidirect
22. #10611600	C₂	semidirect
23. #10611597	C₂	semidirect
24. #10611565	C₂	semidirect
25. #10611563	C₂	semidirect
26. #10611385	C₂	semidirect
27. #10611384	C₂	semidirect
28. #10611381	C₂	semidirect
29. #10611378	C₂	semidirect
30. #10611115	C₂	semidirect
31. #10611105	C₂	semidirect
33. C₅×#542	C₂²	semidirect
34. C₅×#520	C₂²	semidirect
35. #66161	C₂²	semidirect
40. #66063	C₂²	semidirect
46. #66008	C₂²	semidirect
50. #65977	C₂²	semidirect
54. #65953	C₂²	semidirect
59. #65908	C₂²	semidirect
60. C₄×Q₈×D₅	C₂²	semidirect
61. C₄×Q₈×D₅	C₂²	semidirect
67. #65879	C₂²	semidirect
70. C₄×D₄×D₅	C₂²	semidirect
71. C₄×D₄×D₅	C₂²	semidirect
72. #65869	C₂²	semidirect
74. #65857	C₂²	semidirect
78. #65838	C₂²	semidirect
81. C₅×#483	C₂²	semidirect
82. C₅×#481	C₂²	semidirect
83. C₅×#476	C₂²	semidirect
84. C₅×#475	C₂²	semidirect
85. C₅×#464	C₂²	semidirect
86. C₅×#463	C₂²	semidirect
87. C₅×#452	C₂²	semidirect
89. C₅×#442	C₂²	semidirect
90. C₅×#441	C₂²	semidirect
91. C₄×C₅×SD₁₆	C₂²	semidirect
92. C₄×C₅×SD₁₆	C₂²	semidirect
93. C₅×#433	C₂²	semidirect
95. #65527	C₂²	semidirect
96. #65475	C₂²	semidirect
97. #65474	C₂²	semidirect
98. #65473	C₂²	semidirect
100. #65458	C₂²	semidirect
101. #65454	C₂²	semidirect
102. #65453	C₂²	semidirect
103. #65452	C₂²	semidirect
104. SD₁₆×Dic₅	C₂²	semidirect
106. #65439	C₂²	semidirect
107. D₈×Dic₅	C₂²	semidirect
108. #65383	C₂²	semidirect
109. #65373	C₂²	semidirect
110. #65346	C₂²	semidirect
111. #65343	C₂²	semidirect
112. #65336	C₂²	semidirect
113. #65332	C₂²	semidirect
115. #65323	C₂²	semidirect
116. #65319	C₂²	semidirect
117. #65316	C₂²	semidirect
118. #65315	C₂²	semidirect
119. C₄×#688	C₂²	semidirect
120. C₄×#688	C₂²	semidirect
121. #65311	C₂²	semidirect
122. C₄×#687	C₂²	semidirect
123. #65304	C₂²	semidirect
124. #65303	C₂²	semidirect
125. #65303	C₂²	semidirect
126. C₄×#686	C₂²	semidirect
127. #65298	C₂²	semidirect
128. #65289	C₂²	semidirect
129. #65257	C₂²	semidirect
130. #65256	C₂²	semidirect
131. #65160	C₂²	semidirect
132. #65159	C₂²	semidirect
133. #65158	C₂²	semidirect
134. #65158	C₂²	semidirect
137. #65152	C₂²	semidirect
138. #65152	C₂²	semidirect
139. #65150	C₂²	semidirect
140. #65150	C₂²	semidirect
141. D₅×#106	C₂²	semidirect
142. D₅×#106	C₂²	semidirect
143. #65146	C₂²	semidirect
144. #65143	C₂²	semidirect
145. #65141	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65137	C₂²	semidirect
148. #65136	C₂²	semidirect
149. #65132	C₂²	semidirect
150. #65128	C₂²	semidirect
151. #65128	C₂²	semidirect
152. #65124	C₂²	semidirect
153. #65122	C₂²	semidirect
154. #65118	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65098	C₂²	semidirect
157. #65098	C₂²	semidirect
159. #65095	C₂²	semidirect
162. #65092	C₂²	semidirect
163. #65092	C₂²	semidirect
164. #65087	C₂²	semidirect
165. #65085	C₂²	semidirect
166. #65080	C₂²	semidirect
167. #65078	C₂²	semidirect
168. #65077	C₂²	semidirect
169. #65077	C₂²	semidirect
170. #65077	C₂²	semidirect
171. #65075	C₂²	semidirect
172. #65074	C₂²	semidirect
173. #65074	C₂²	semidirect
177. #65062	C₂²	semidirect
180. D₅×#102	C₂²	semidirect
181. D₅×#102	C₂²	semidirect
182. #65055	C₂²	semidirect
183. #65051	C₂²	semidirect
184. #65050	C₂²	semidirect
185. #65046	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65025	C₂²	semidirect
188. #65024	C₂²	semidirect
190. #65023	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #65000	C₂²	semidirect
196. #64999	C₂²	semidirect
197. #64997	C₂²	semidirect
198. #64994	C₂²	semidirect
199. C₄×D₄₀	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64978	C₂²	semidirect
202. #64974	C₂²	semidirect
490. #3125	D₅	semidirect
553. #713	#41	semidirect
558. #711	#41	semidirect
750. #542	C₂×D₅	semidirect
772. #520	C₂×D₅	semidirect
787. #483	C₂×D₅	semidirect
797. #481	C₂×D₅	semidirect
811. #476	C₂×D₅	semidirect
815. #475	C₂×D₅	semidirect
819. #464	C₂×D₅	semidirect
823. #463	C₂×D₅	semidirect
833. #452	C₂×D₅	semidirect
855. #442	C₂×D₅	semidirect
859. #441	C₂×D₅	semidirect
874. C₄×SD₁₆	C₂×D₅	semidirect
875. C₄×SD₁₆	C₂×D₅	semidirect
883. #433	C₂×D₅	semidirect
1717. C₅	#60588	semidirect

Maximal subgroups

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

subgroup	index
#10618451	2
D₅×#520	2
C₅×#3125	2
#10615193	2
#10614299	2
#10613158	2
#10613148	2
D₅×#481	2
#10613043	2
#10612794	2
#10612777	2
#10612745	2
#10612727	2
#10612333	2
#10612302	2
#10612269	2
#10612236	2
#10611957	2
#10611950	2
#10611815	2
#10611803	2
#10611600	2
#10611597	2
#10611565	2
#10611563	2
#10611385	2
#10611384	2
#10611381	2
#10611378	2
#10611115	2
#10611105	2
#60588	5