Subgroups — #12967820

Order 1280.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#540	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617786	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3119	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615165	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614299	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613057	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613043	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613014	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613003	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612962	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612941	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612898	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612877	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612115	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612096	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612064	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612048	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611815	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611815	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611804	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611803	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611605	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611596	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611520	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611504	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611392	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#4060	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611327	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#4057	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611115	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611102	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₅×#540	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×#4060	C₂²	1	1	yes	characteristic
37	C₂×#4060	C₂²	1	1	yes	characteristic
38	C₂×#4057	C₂²	1	1	yes	characteristic
39	C₂×#4057	C₂²	1	1	yes	characteristic
40	#66053	C₂²	1	1	yes	characteristic
41	D₅×#127	C₂²	1	1	yes	characteristic, complemented
42	#66032	C₂²	1	1	yes	characteristic
43	D₅×#125	C₂²	1	1	yes	characteristic, complemented
44	#65997	—	2	1	no	—
45	#65997	—	2	1	no	—
46	D₅×#123	—	2	1	no	—
47	D₅×#123	—	2	1	no	—
48	#65953	C₂²	1	1	yes	characteristic, complemented
49	#65953	C₂²	1	1	yes	characteristic, complemented
50	#65949	—	2	1	no	—
51	#65949	—	2	1	no	—
52	D₅×#121	—	2	1	no	—
53	D₅×#121	—	2	1	no	—
54	D₅×#121	C₂²	1	1	yes	characteristic
55	D₅×#121	C₂²	1	1	yes	characteristic
56	C₄×#713	C₂²	1	1	yes	characteristic
57	C₄×#713	C₂²	1	1	yes	characteristic
58	#65906	C₂²	1	1	yes	characteristic, complemented
59	#65906	C₂²	1	1	yes	characteristic, complemented
60	#65896	C₂²	1	1	yes	characteristic
61	#65896	C₂²	1	1	yes	characteristic
62	#65879	—	2	1	no	—
63	#65879	—	2	1	no	—
64	#65879	C₂²	1	1	yes	characteristic, complemented
65	#65879	C₂²	1	1	yes	characteristic, complemented
66	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
67	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
68	C₄×#711	—	2	1	no	—
69	C₄×#711	—	2	1	no	—
70	C₄×#711	C₂²	1	1	yes	characteristic
71	C₄×#711	C₂²	1	1	yes	characteristic
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×#4038	—	2	1	no	—
80	C₂×#4038	C₂²	1	1	yes	characteristic
81	C₅×#481	C₂²	1	1	yes	characteristic, complemented
82	C₅×#480	C₂²	1	1	yes	characteristic, complemented
83	C₅×#479	C₂²	1	1	yes	characteristic, complemented
84	C₅×#478	C₂²	1	1	yes	characteristic, complemented
85	C₅×#460	C₂²	1	1	yes	characteristic, complemented
86	C₅×#459	C₂²	1	1	yes	characteristic, complemented
87	C₅×#449	C₂²	1	1	yes	characteristic, complemented
88	C₅×#449	C₂²	1	1	yes	characteristic, complemented
89	C₅×#442	C₂²	1	1	yes	characteristic, complemented
90	C₅×#440	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
93	C₅×#433	C₂²	1	1	yes	characteristic, complemented
94	#65527	C₂²	1	1	yes	characteristic, complemented
95	#65527	C₂²	1	1	yes	characteristic, complemented
96	#65459	C₂²	1	1	yes	characteristic, complemented
97	#65459	C₂²	1	1	yes	characteristic, complemented
98	#65453	C₂²	1	1	yes	characteristic, complemented
99	#65452	C₂²	1	1	yes	characteristic, complemented
100	#65452	C₂²	1	1	yes	characteristic, complemented
101	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
102	#65445	C₂²	1	1	yes	characteristic, complemented
103	#65445	C₂²	1	1	yes	characteristic, complemented
104	#65441	C₂²	1	1	yes	characteristic, complemented
105	#65439	C₂²	1	1	yes	characteristic, complemented
106	#65439	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65364	C₂²	1	1	yes	characteristic, complemented
109	#65361	C₂²	1	1	yes	characteristic, complemented
110	#65355	C₂²	1	1	yes	characteristic, complemented
111	#65352	C₂²	1	1	yes	characteristic, complemented
112	#65326	C₂²	1	1	yes	characteristic, complemented
113	#65326	C₂²	1	1	yes	characteristic, complemented
114	#65323	C₂²	1	1	yes	characteristic, complemented
115	#65322	C₂²	1	1	yes	characteristic, complemented
116	#65316	C₂²	1	1	yes	characteristic, complemented
117	#65315	C₂²	1	1	yes	characteristic, complemented
118	C₄×#688	C₂²	1	1	yes	characteristic, complemented
119	#65311	C₂²	1	1	yes	characteristic, complemented
120	#65307	C₂²	1	1	yes	characteristic, complemented
121	C₄×#687	C₂²	1	1	yes	characteristic, complemented
122	#65304	C₂²	1	1	yes	characteristic, complemented
123	#65303	C₂²	1	1	yes	characteristic, complemented
124	#65303	C₂²	1	1	yes	characteristic, complemented
125	C₄×#686	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	#65180	C₂²	1	1	yes	characteristic, complemented
132	#65178	C₂²	1	1	yes	characteristic, complemented
133	#65174	C₂²	1	1	yes	characteristic, complemented
134	#65174	C₂²	1	1	yes	characteristic, complemented
135	#65170	C₂²	1	1	yes	characteristic, complemented
136	#65170	C₂²	1	1	yes	characteristic, complemented
137	#65166	C₂²	1	1	yes	characteristic, complemented
138	#65161	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic, complemented
140	#65158	C₂²	1	1	yes	characteristic, complemented
141	#65155	C₂²	1	1	yes	characteristic, complemented
142	#65155	C₂²	1	1	yes	characteristic, complemented
143	#65150	C₂²	1	1	yes	characteristic, complemented
144	#65150	C₂²	1	1	yes	characteristic, complemented
145	#65146	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	#65129	C₂²	1	1	yes	characteristic, complemented
151	#65129	C₂²	1	1	yes	characteristic, complemented
152	#65126	C₂²	1	1	yes	characteristic, complemented
153	#65126	C₂²	1	1	yes	characteristic, complemented
154	#65118	C₂²	1	1	yes	characteristic, complemented
155	#65106	C₂²	1	1	yes	characteristic, complemented
156	#65095	C₂²	1	1	yes	characteristic, complemented
157	#65095	C₂²	1	1	yes	characteristic, complemented
158	#65092	C₂²	1	1	yes	characteristic
159	#65092	C₂²	1	1	yes	characteristic
160	#65088	C₂²	1	1	yes	characteristic, complemented
161	#65085	C₂²	1	1	yes	characteristic, complemented
162	#65077	C₂²	1	1	yes	characteristic, complemented
163	#65075	C₂²	1	1	yes	characteristic, complemented
164	#65075	C₂²	1	1	yes	characteristic, complemented
165	#65074	C₂²	1	1	yes	characteristic, complemented
166	#65074	C₂²	1	1	yes	characteristic, complemented
167	#65073	C₂²	1	1	yes	characteristic, complemented
168	#65073	C₂²	1	1	yes	characteristic, complemented
169	#65068	C₂²	1	1	yes	characteristic, complemented
170	#65068	C₂²	1	1	yes	characteristic, complemented
171	#65062	C₂²	1	1	yes	characteristic, complemented
172	#65062	C₂²	1	1	yes	characteristic, complemented
173	#65060	C₂²	1	1	yes	characteristic
174	#65060	C₂²	1	1	yes	characteristic
175	#65059	C₂²	1	1	yes	characteristic, complemented
176	#65059	C₂²	1	1	yes	characteristic, complemented
177	#65059	C₂²	1	1	yes	characteristic, complemented
178	#65059	C₂²	1	1	yes	characteristic, complemented
179	#65055	C₂²	1	1	yes	characteristic, complemented
180	#65052	C₂²	1	1	yes	characteristic, complemented
181	#65051	C₂²	1	1	yes	characteristic, complemented
182	#65051	C₂²	1	1	yes	characteristic, complemented
183	#65047	C₂²	1	1	yes	characteristic, complemented
184	#65046	C₂²	1	1	yes	characteristic, complemented
185	#65045	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, complemented
190	#65023	C₂²	1	1	yes	characteristic, complemented
191	#65015	C₂²	1	1	yes	characteristic
192	#65015	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	#64998	C₂²	1	1	yes	characteristic, complemented
198	#64996	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	#64979	C₂²	1	1	yes	characteristic, complemented
202	C₄×#676	C₂²	1	1	yes	characteristic, complemented
203	#60568	—	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	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
209	C₂×#711	—	2	1	no	—
210	C₂×#711	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₅	—	2	1	no	—
212	C₂×D₄×D₅	—	2	1	no	—
213	C₂×D₄×D₅	—	2	1	no	—
214	C₂×D₄×D₅	—	2	1	no	—
215	C₂×D₄×D₅	—	2	1	no	—
216	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
219	C₂×#709	—	2	1	no	—
220	C₂×#709	C₂³	1	1	yes	characteristic
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×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
228	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
229	C₅×#127	C₂³	1	1	yes	characteristic
230	C₅×#125	C₂³	1	1	yes	characteristic
231	C₅×#123	—	2	1	no	—
232	C₅×#123	—	2	1	no	—
233	C₅×#121	—	2	1	no	—
234	C₅×#121	—	2	1	no	—
235	C₅×#121	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×D₄	—	2	1	no	—
240	C₄×C₅×D₄	—	2	1	no	—
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
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	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	Q₈×Dic₅	C₂³	1	1	yes	characteristic
251	C₂×#688	C₂³	1	1	yes	characteristic
252	C₂×#688	C₂³	1	1	yes	characteristic
253	#4086	—	2	1	no	—
254	#4086	—	2	1	no	—
255	#4086	C₂³	1	1	yes	characteristic
256	#4086	C₂³	1	1	yes	characteristic
257	#4085	—	2	1	no	—
258	#4085	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4085	—	2	1	no	—
261	#4085	—	2	1	no	—
262	#4085	—	2	1	no	—
263	#4084	—	2	1	no	—
264	#4084	—	2	1	no	—
265	#4084	C₂³	1	1	yes	characteristic
266	#4084	C₂³	1	1	yes	characteristic
267	#4081	—	2	1	no	—
268	#4081	—	2	1	no	—
269	D₄×Dic₅	—	2	1	no	—
270	D₄×Dic₅	—	2	1	no	—
271	D₄×Dic₅	C₂³	1	1	yes	characteristic
272	D₄×Dic₅	C₂³	1	1	yes	characteristic
273	D₄×Dic₅	C₂³	1	1	yes	characteristic
274	D₄×Dic₅	C₂³	1	1	yes	characteristic
275	C₂×#687	C₂³	1	1	yes	characteristic
276	C₂×#687	C₂³	1	1	yes	characteristic
277	C₂×#686	C₂³	1	1	yes	characteristic
278	C₂×#686	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	#4076	—	2	1	no	—
282	#4076	—	2	1	no	—
283	#4076	C₂³	1	1	yes	characteristic
284	#4076	C₂³	1	1	yes	characteristic
285	#4075	—	2	1	no	—
286	#4075	—	2	1	no	—
287	C₄×C₂²⋊D₅	—	2	1	no	—
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₄×C₂²⋊D₅	—	2	1	no	—
290	C₄×C₂²⋊D₅	—	2	1	no	—
291	C₄×C₂²⋊D₅	—	2	1	no	—
292	C₄×C₂²⋊D₅	—	2	1	no	—
293	C₄×C₂²⋊D₅	—	2	1	no	—
294	C₄×C₂²⋊D₅	—	2	1	no	—
295	C₂×#685	—	2	1	no	—
296	C₂×#685	—	2	1	no	—
297	C₂×#685	—	2	1	no	—
298	#4072	—	2	1	no	—
299	#4072	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊Dic₅	—	2	1	no	—
301	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₅	—	2	1	no	—
303	C₂×C₄×Dic₅	—	2	1	no	—
304	C₂×C₄×Dic₅	—	2	1	no	—
305	#4060	—	2	4	no	—
306	#4060	—	2	4	no	—
307	#4057	—	2	4	no	—
308	#4057	—	2	4	no	—
309	C₂×D₄₀	C₂³	1	1	yes	characteristic
310	C₂×D₄₀	C₂³	1	1	yes	characteristic
311	C₂×#677	C₂³	1	1	yes	characteristic
312	C₂×#677	C₂³	1	1	yes	characteristic
313	C₂×#676	C₂³	1	1	yes	characteristic
314	C₂×#676	C₂³	1	1	yes	characteristic
315	C₂×#676	C₂³	1	1	yes	characteristic
316	C₂×#676	C₂³	1	1	yes	characteristic
317	#4041	—	2	1	no	—
318	#4041	—	2	1	no	—
319	#4041	C₂³	1	1	yes	characteristic
320	#4041	C₂³	1	1	yes	characteristic
321	#4040	—	2	1	no	—
322	#4040	—	2	1	no	—
323	#4040	—	2	1	no	—
324	#4040	—	2	1	no	—
325	#4039	—	2	1	no	—
326	#4039	—	2	1	no	—
327	#4039	C₂³	1	1	yes	characteristic
328	#4039	C₂³	1	1	yes	characteristic
329	#4039	C₂³	1	1	yes	characteristic
330	#4039	C₂³	1	1	yes	characteristic
331	#4038	—	2	1	no	—
332	#4038	—	2	1	no	—
333	#4038	—	2	1	no	—
334	#4038	—	2	1	no	—
335	#4038	—	2	1	no	—
336	#4038	—	2	1	no	—
337	#4038	—	2	1	no	—
338	#4038	—	2	1	no	—
339	#4038	D₄	1	1	yes	characteristic
340	#4038	D₄	1	1	yes	characteristic
341	#4038	C₂³	1	1	yes	characteristic
342	#4038	C₂³	1	1	yes	characteristic
343	#4038	C₂³	1	1	yes	characteristic
344	#4038	C₂³	1	1	yes	characteristic
345	D₅×C₄⋊C₄	—	2	1	no	—
346	D₅×C₄⋊C₄	—	2	1	no	—
347	D₅×C₄⋊C₄	—	2	1	no	—
348	D₅×C₄⋊C₄	—	2	1	no	—
349	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
350	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
351	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
352	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
353	#4036	C₂³	1	1	yes	characteristic
354	#4036	C₂³	1	1	yes	characteristic
355	#4035	—	2	1	no	—
356	#4035	—	2	1	no	—
357	#4033	—	2	1	no	—
358	#4033	—	2	1	no	—
359	#4033	C₂³	1	1	yes	characteristic
360	#4033	C₂³	1	1	yes	characteristic
361	#4032	—	2	1	no	—
362	#4032	—	2	1	no	—
363	#4030	—	2	1	no	—
364	#4030	—	2	1	no	—
365	#4030	—	2	1	no	—
366	#4030	—	2	1	no	—
367	#4030	—	2	1	no	—
368	#4030	—	2	1	no	—
369	#4029	—	2	1	no	—
370	#4029	—	2	1	no	—
371	#4029	—	2	1	no	—
372	#4029	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	#4027	—	2	1	no	—
376	#4027	—	2	1	no	—
377	#4027	—	2	1	no	—
378	#4027	—	2	1	no	—
379	#4027	—	2	1	no	—
380	#4027	—	2	1	no	—
381	D₅×C₂²⋊C₄	—	2	1	no	—
382	D₅×C₂²⋊C₄	—	2	1	no	—
383	D₅×C₂²⋊C₄	—	2	1	no	—
384	D₅×C₂²⋊C₄	—	2	1	no	—
385	D₅×C₂²⋊C₄	—	2	1	no	—
386	D₅×C₂²⋊C₄	—	2	1	no	—
387	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
388	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
389	#4023	—	2	1	no	—
390	#4023	—	2	1	no	—
391	#4023	D₄	1	1	yes	characteristic
392	#4023	D₄	1	1	yes	characteristic
393	#4020	C₂³	1	1	yes	characteristic
394	C₄×D₂₀	—	2	1	no	—
395	C₄×D₂₀	—	2	1	no	—
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	C₄×D₂₀	C₂³	1	1	yes	characteristic
398	C₄×D₂₀	C₂³	1	1	yes	characteristic
399	C₄×D₂₀	C₂³	1	1	yes	characteristic
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×#107	C₂³	1	1	yes	characteristic
414	C₅×#107	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×#102	C₂³	1	1	yes	characteristic
422	C₅×#102	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	#3964	C₂³	1	1	yes	characteristic
434	#3964	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	#3939	C₂³	1	1	yes	characteristic
478	#3939	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	C₂×#540	—	5	1	no	—
486	#3428	—	5	1	no	—
487	#3126	—	5	1	no	—
488	#3126	—	5	1	no	—
489	#3126	—	5	1	no	—
490	#3126	—	5	1	no	—
491	#3122	—	5	1	no	—
492	#3122	—	5	1	no	—
493	#3122	—	5	1	no	—
494	#3122	—	5	1	no	—
495	#3119	—	5	1	no	—
496	#3119	—	5	1	no	—
497	#3119	—	5	1	no	—
498	#3119	—	5	1	no	—
499	#3119	—	5	1	no	—
500	#3119	—	5	1	no	—
501	#3119	—	5	1	no	—
502	#3119	D₅	1	1	yes	characteristic, complemented
503	#3094	—	5	1	no	—
504	#3094	—	5	1	no	—
505	#3080	—	5	1	no	—
506	#3080	—	5	1	no	—
507	#3038	—	5	1	no	—
508	#3038	—	5	1	no	—
509	#3006	—	5	1	no	—
510	#3006	—	5	1	no	—
511	C₄×AGL(1,ℤ/8)	—	5	1	no	—
512	C₄×AGL(1,ℤ/8)	—	5	1	no	—
513	C₄×AGL(1,ℤ/8)	—	5	1	no	—
514	C₄×AGL(1,ℤ/8)	—	5	1	no	—
515	#2921	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₂³×D₅	—	2	1	no	—
518	C₂³×D₅	—	2	1	no	—
519	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
520	C₅×#41	—	2	2	no	—
521	C₅×#41	—	2	2	no	—
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	—	2	1	no	—
527	C₂×C₅×D₄	—	2	1	no	—
528	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
530	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₅	—	2	1	no	—
532	C₂²×C₄×C₅	—	2	1	no	—
533	C₂²×C₄×C₅	—	2	1	no	—
534	C₂²×C₄×C₅	—	2	1	no	—
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	—	2	1	no	—
537	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
551	C₂²×Dic₅	—	2	1	no	—
552	C₂²×Dic₅	—	2	1	no	—
553	C₂²×Dic₅	—	2	1	no	—
554	C₂²×Dic₅	—	2	1	no	—
555	C₂²×Dic₅	—	2	1	no	—
556	C₂²×Dic₅	—	2	1	no	—
557	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
558	#713	—	2	2	no	—
559	#713	#41	1	4	yes	—
560	Q₈×D₅	—	2	2	no	—
561	Q₈×D₅	—	2	2	no	—
562	#711	—	2	8	no	—
563	#711	—	2	2	no	—
564	#711	#41	1	4	yes	—
565	D₄×D₅	—	2	8	no	—
566	D₄×D₅	—	2	2	no	—
567	D₄×D₅	—	2	2	no	—
568	D₄×D₅	—	2	2	no	—
569	D₄×D₅	—	2	2	no	—
570	D₄×D₅	—	2	2	no	—
571	D₄×D₅	—	2	2	no	—
572	D₄×D₅	—	8	2	no	—
573	D₄×D₅	—	8	2	no	—
574	D₄×D₅	—	8	2	no	—
575	D₄×D₅	—	8	2	no	—
576	#709	—	2	8	no	—
577	#709	—	2	2	no	—
578	#709	—	2	2	no	—
579	C₂×D₂₀	—	2	1	no	—
580	C₂×D₂₀	—	2	1	no	—
581	C₂×D₂₀	—	2	1	no	—
582	C₂×D₂₀	—	2	1	no	—
583	C₂×D₂₀	—	2	1	no	—
584	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
585	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
586	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
587	C₂×C₄×D₅	—	2	8	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	2	no	—
592	C₂×C₄×D₅	—	2	2	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	—	2	1	no	—
599	C₂×C₄×D₅	—	2	1	no	—
600	C₂×C₄×D₅	—	2	1	no	—
601	C₂×C₄×D₅	—	2	1	no	—
602	C₂×C₄×D₅	—	2	1	no	—
603	C₂×C₄×D₅	—	8	2	no	—
604	C₂×C₄×D₅	—	8	2	no	—
605	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
606	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
607	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
608	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
611	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
612	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
613	C₂×Dic₁₀	—	2	1	no	—
614	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
615	C₅×SD₁₆	—	2	2	no	—
616	C₅×SD₁₆	—	2	2	no	—
617	C₅×D₈	—	2	2	no	—
618	C₅×D₈	—	2	2	no	—
619	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
620	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
621	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
622	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
627	C₅×C₄⋊C₄	—	2	1	no	—
628	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
640	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
651	C₂²⋊Dic₅	—	2	1	no	—
652	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
653	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
654	#688	—	2	2	no	—
655	#688	—	2	2	no	—
656	#687	—	2	2	no	—
657	#687	—	2	2	no	—
658	#686	—	2	2	no	—
659	#686	—	2	2	no	—
660	#686	—	2	2	no	—
661	#686	—	2	2	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	—	2	1	no	—
677	#685	—	2	1	no	—
678	#685	C₂×D₄	1	1	yes	characteristic
679	#685	C₂×D₄	1	1	yes	characteristic
680	#685	C₂×D₄	1	1	yes	characteristic
681	#685	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
688	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
689	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
690	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
692	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
704	#683	C₂×D₄	1	1	yes	characteristic
705	#683	C₂×D₄	1	1	yes	characteristic
706	#683	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	—	2	1	no	—
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	#676	—	2	2	no	—
734	#676	—	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×AGL(1,ℤ/8)	—	5	1	no	—
739	C₂×AGL(1,ℤ/8)	—	5	1	no	—
740	#540	—	5	1	no	—
741	#540	—	5	1	no	—
742	#540	—	5	1	no	—
743	#540	—	5	1	no	—
744	#540	—	5	1	no	—
745	#540	—	5	1	no	—
746	#540	—	5	1	no	—
747	#540	—	10	1	no	—
748	#540	—	10	1	no	—
749	#540	—	10	1	no	—
750	#540	—	10	1	no	—
751	#540	C₂×D₅	1	1	yes	characteristic, complemented
752	C₂×#127	—	5	1	no	—
753	C₂×#125	—	5	1	no	—
754	C₂×#123	—	10	1	no	—
755	C₂×#123	—	10	1	no	—
756	C₂×#121	—	5	1	no	—
757	C₂×#121	—	5	1	no	—
758	C₂×#121	—	10	1	no	—
759	C₂×#121	—	10	1	no	—
760	#520	—	5	1	no	—
761	#520	—	5	1	no	—
762	#520	—	5	1	no	—
763	#520	—	10	1	no	—
764	#520	—	10	1	no	—
765	#520	C₂×D₅	1	1	yes	characteristic, complemented
766	#519	—	5	1	no	—
767	#519	—	5	1	no	—
768	#518	—	5	1	no	—
769	#518	—	5	1	no	—
770	#518	—	10	1	no	—
771	#518	—	10	1	no	—
772	C₄×#41	—	5	1	no	—
773	C₄×#41	—	5	1	no	—
774	C₄×#41	—	5	1	no	—
775	C₄×#41	—	5	1	no	—
776	C₄×#41	—	10	1	no	—
777	C₄×#41	—	10	1	no	—
778	C₂×C₄×D₄	—	5	1	no	—
779	C₂×C₄×D₄	—	5	1	no	—
780	C₂×#117	—	5	1	no	—
781	C₂×#117	—	5	1	no	—
782	C₂×#117	—	10	1	no	—
783	C₂×#117	—	10	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	—	5	1	no	—
790	#482	—	5	1	no	—
791	#482	—	5	1	no	—
792	#481	—	5	1	no	—
793	#481	—	5	1	no	—
794	#481	—	5	1	no	—
795	#481	C₂×D₅	1	1	yes	characteristic, complemented
796	#480	—	5	1	no	—
797	#480	—	5	1	no	—
798	#480	—	5	1	no	—
799	#480	C₂×D₅	1	1	yes	characteristic, complemented
800	#479	—	5	1	no	—
801	#479	—	5	1	no	—
802	#479	—	5	1	no	—
803	#479	—	5	1	no	—
804	#479	—	5	1	no	—
805	#479	—	5	1	no	—
806	#479	—	5	1	no	—
807	#479	C₂×D₅	1	1	yes	characteristic, complemented
808	#478	—	5	1	no	—
809	#478	—	5	1	no	—
810	#478	—	5	1	no	—
811	#478	—	5	1	no	—
812	#478	—	5	1	no	—
813	#478	—	5	1	no	—
814	#478	—	5	1	no	—
815	#478	C₂×D₅	1	1	yes	characteristic, complemented
816	#460	—	5	1	no	—
817	#460	—	5	1	no	—
818	#460	—	5	1	no	—
819	#460	—	5	1	no	—
820	#460	—	5	1	no	—
821	#460	—	5	1	no	—
822	#460	—	5	1	no	—
823	#460	C₂×D₅	1	1	yes	characteristic, complemented
824	#459	—	5	1	no	—
825	#459	—	5	1	no	—
826	#459	—	5	1	no	—
827	#459	—	5	1	no	—
828	#459	—	5	1	no	—
829	#459	—	5	1	no	—
830	#459	—	5	1	no	—
831	#459	C₂×D₅	1	1	yes	characteristic, complemented
832	#449	—	5	1	no	—
833	#449	—	5	1	no	—
834	#449	—	5	1	no	—
835	#449	—	5	1	no	—
836	#449	—	5	1	no	—
837	#449	—	5	1	no	—
838	#449	C₂×D₅	1	1	yes	characteristic, complemented
839	#449	C₂×D₅	1	1	yes	characteristic, complemented
840	#448	—	5	1	no	—
841	#448	—	5	1	no	—
842	#448	—	5	1	no	—
843	#448	—	5	1	no	—
844	#447	—	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	#440	—	5	1	no	—
857	#440	—	5	1	no	—
858	#440	—	5	1	no	—
859	#440	—	5	1	no	—
860	#440	—	5	1	no	—
861	#440	—	5	1	no	—
862	#440	—	5	1	no	—
863	#440	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
872	C₄×D₈	—	5	1	no	—
873	C₄×D₈	—	5	1	no	—
874	C₄×D₈	—	5	1	no	—
875	C₄×D₈	—	5	1	no	—
876	C₄×D₈	—	5	1	no	—
877	C₄×D₈	—	5	1	no	—
878	C₄×D₈	—	5	1	no	—
879	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
880	#433	—	5	1	no	—
881	#433	—	5	1	no	—
882	#433	—	5	1	no	—
883	#433	—	5	1	no	—
884	#433	—	5	1	no	—
885	#433	—	5	1	no	—
886	#433	—	5	1	no	—
887	#433	C₂×D₅	1	1	yes	characteristic, complemented
888	#428	—	5	1	no	—
889	#428	—	5	1	no	—
890	#428	—	5	1	no	—
891	#428	—	5	1	no	—
892	#423	—	5	1	no	—
893	#423	—	5	1	no	—
894	#418	—	5	1	no	—
895	#418	—	5	1	no	—
896	#418	—	5	1	no	—
897	#418	—	5	1	no	—
898	#417	—	5	1	no	—
899	#417	—	5	1	no	—
900	#417	—	5	1	no	—
901	#417	—	5	1	no	—
902	#407	—	5	1	no	—
903	#407	—	5	1	no	—
904	C₄×M₁₆	—	5	1	no	—
905	C₄×M₁₆	—	5	1	no	—
906	C₂³×C₅	—	2	1	no	—
907	C₂³×C₅	—	2	1	no	—
908	C₂³×C₅	—	2	1	no	—
909	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
910	C₂²×D₅	—	2	1	no	—
911	C₂²×D₅	—	2	4	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	1	no	—
917	C₂²×D₅	—	4	2	no	—
918	C₂²×D₅	—	4	2	no	—
919	C₂²×D₅	—	4	2	no	—
920	C₂²×D₅	—	4	2	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	C₂²×D₄	1	1	yes	characteristic
926	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
927	C₅×Q₈	—	2	1	no	—
928	C₅×Q₈	C₂×#41	1	2	yes	—
929	C₅×D₄	—	2	4	no	—
930	C₅×D₄	—	2	1	no	—
931	C₅×D₄	—	2	1	no	—
932	C₅×D₄	—	2	1	no	—
933	C₅×D₄	—	2	1	no	—
934	C₅×D₄	—	2	1	no	—
935	C₅×D₄	—	8	1	no	—
936	C₅×D₄	—	8	1	no	—
937	C₅×D₄	—	8	1	no	—
938	C₅×D₄	—	8	1	no	—
939	C₅×D₄	C₂×#41	1	2	yes	—
940	C₂×C₄×C₅	—	2	4	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	2	1	no	—
943	C₂×C₄×C₅	—	2	1	no	—
944	C₂×C₄×C₅	—	2	1	no	—
945	C₂×C₄×C₅	—	2	1	no	—
946	C₂×C₄×C₅	—	2	1	no	—
947	C₂×C₄×C₅	—	2	1	no	—
948	C₂×C₄×C₅	—	8	1	no	—
949	C₂×C₄×C₅	—	8	1	no	—
950	C₂×C₄×C₅	—	8	1	no	—
951	C₂×C₄×C₅	—	8	1	no	—
952	C₂×C₄×C₅	—	8	1	no	—
953	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
954	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
955	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
956	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
957	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
958	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
959	C₂²⋊D₅	—	2	4	no	—
960	C₂²⋊D₅	—	2	4	no	—
961	C₂²⋊D₅	—	2	4	no	—
962	C₂²⋊D₅	—	4	2	no	—
963	C₂²⋊D₅	—	4	2	no	—
964	C₂²⋊D₅	—	8	1	no	—
965	C₂²⋊D₅	—	8	1	no	—
966	C₂²⋊D₅	—	8	1	no	—
967	C₂²⋊D₅	—	8	1	no	—
968	C₂²⋊D₅	—	8	1	no	—
969	C₂²⋊D₅	—	8	1	no	—
970	C₂²⋊D₅	—	8	1	no	—
971	C₂²⋊D₅	—	8	1	no	—
972	C₂×Dic₅	—	2	1	no	—
973	C₂×Dic₅	—	2	2	no	—
974	C₂×Dic₅	—	2	4	no	—
975	C₂×Dic₅	—	2	1	no	—
976	C₂×Dic₅	—	2	1	no	—
977	C₂×Dic₅	—	2	1	no	—
978	C₂×Dic₅	—	2	1	no	—
979	C₂×Dic₅	—	8	1	no	—
980	C₂×Dic₅	—	8	1	no	—
981	C₂×Dic₅	—	8	1	no	—
982	C₂×Dic₅	—	8	1	no	—
983	C₂×Dic₅	—	8	1	no	—
984	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
985	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
986	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
987	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
988	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
989	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
990	D₂₀	—	2	4	no	—
991	D₂₀	—	2	1	no	—
992	D₂₀	—	2	1	no	—
993	D₂₀	—	2	1	no	—
994	D₂₀	—	2	1	no	—
995	D₂₀	—	2	1	no	—
996	D₂₀	—	8	1	no	—
997	D₂₀	—	8	1	no	—
998	D₂₀	—	8	1	no	—
999	D₂₀	—	8	1	no	—
1000	D₂₀	C₂×#41	1	2	yes	—
1001	C₄×D₅	—	2	4	no	—
1002	C₄×D₅	—	2	4	no	—
1003	C₄×D₅	—	2	2	no	—
1004	C₄×D₅	—	2	1	no	—
1005	C₄×D₅	—	2	1	no	—
1006	C₄×D₅	—	2	2	no	—
1007	C₄×D₅	—	2	4	no	—
1008	C₄×D₅	—	4	1	no	—
1009	C₄×D₅	—	4	1	no	—
1010	C₄×D₅	—	4	1	no	—
1011	C₄×D₅	—	4	1	no	—
1012	C₄×D₅	—	4	2	no	—
1013	C₄×D₅	—	4	2	no	—
1014	C₄×D₅	—	8	1	no	—
1015	C₄×D₅	—	8	1	no	—
1016	C₄×D₅	—	8	1	no	—
1017	C₄×D₅	—	8	1	no	—
1018	C₄×D₅	—	8	1	no	—
1019	C₄×D₅	—	8	1	no	—
1020	C₄×D₅	—	8	1	no	—
1021	C₄×D₅	—	8	1	no	—
1022	C₄×D₅	C₂×#41	1	2	yes	—
1023	C₄×D₅	C₂×#41	1	2	yes	—
1024	Dic₁₀	—	2	4	no	—
1025	Dic₁₀	—	2	1	no	—
1026	Dic₁₀	C₂×#41	1	2	yes	—
1027	C₅×C₈	—	2	1	no	—
1028	C₅×C₈	—	2	1	no	—
1029	C₅×C₈	—	2	1	no	—
1030	C₅×C₈	—	2	1	no	—
1031	#168	—	2	1	no	—
1032	#168	—	2	1	no	—
1033	#168	—	2	1	no	—
1034	#168	—	2	1	no	—
1035	C₂×#41	—	5	1	no	—
1036	C₂×#41	—	5	1	no	—
1037	C₂×#41	—	5	1	no	—
1038	C₂×#41	—	10	1	no	—
1039	C₂×#41	—	10	1	no	—
1040	C₂×#41	—	10	4	no	—
1041	C₂×#41	—	10	4	no	—
1042	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1043	C₂²×Q₈	—	5	1	no	—
1044	C₂²×D₄	—	5	1	no	—
1045	C₂²×D₄	—	5	1	no	—
1046	C₂²×D₄	—	5	1	no	—
1047	C₂²×D₄	—	10	1	no	—
1048	C₂²×D₄	—	10	1	no	—
1049	C₂²×D₄	—	10	1	no	—
1050	C₂²×D₄	—	10	1	no	—
1051	C₂²×D₄	—	10	1	no	—
1052	C₂³×C₄	—	5	1	no	—
1053	C₂³×C₄	—	10	1	no	—
1054	C₂³×C₄	—	10	1	no	—
1055	C₂³×C₄	—	10	1	no	—
1056	AGL(1,ℤ/8)	—	10	4	no	—
1057	AGL(1,ℤ/8)	—	10	4	no	—
1058	AGL(1,ℤ/8)	—	10	4	no	—
1059	AGL(1,ℤ/8)	—	10	4	no	—
1060	C₂×SD₁₆	—	5	1	no	—
1061	C₂×SD₁₆	—	5	1	no	—
1062	C₂×SD₁₆	—	5	1	no	—
1063	C₂×SD₁₆	—	5	1	no	—
1064	C₂×SD₁₆	—	5	1	no	—
1065	C₂×SD₁₆	—	5	1	no	—
1066	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1068	C₂×D₈	—	5	1	no	—
1069	C₂×D₈	—	5	1	no	—
1070	C₂×D₈	—	5	1	no	—
1071	C₂×D₈	—	5	1	no	—
1072	C₂×D₈	—	5	1	no	—
1073	C₂×D₈	—	5	1	no	—
1074	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1075	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1076	C₂×M₁₆	—	5	1	no	—
1077	C₂×M₁₆	—	5	1	no	—
1078	C₂×M₁₆	—	5	1	no	—
1079	C₂×M₁₆	—	5	1	no	—
1080	#127	—	5	1	no	—
1081	#127	—	5	1	no	—
1082	#127	—	5	1	no	—
1083	#127	—	10	1	no	—
1084	#127	—	10	1	no	—
1085	#127	C₂²×D₅	1	1	yes	characteristic
1086	#125	—	5	1	no	—
1087	#125	—	5	1	no	—
1088	#125	—	5	1	no	—
1089	#125	—	10	1	no	—
1090	#125	—	10	1	no	—
1091	#125	C₂²×D₅	1	1	yes	characteristic
1092	#123	—	2	1	no	—
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	#123	—	10	1	no	—
1103	#123	—	10	1	no	—
1104	#123	—	10	1	no	—
1105	#123	—	10	1	no	—
1106	#123	—	10	1	no	—
1107	#123	—	10	1	no	—
1108	#121	—	2	1	no	—
1109	#121	—	2	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	5	1	no	—
1112	#121	—	5	1	no	—
1113	#121	—	5	1	no	—
1114	#121	—	5	1	no	—
1115	#121	—	5	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	—	10	1	no	—
1124	#121	—	10	1	no	—
1125	#121	—	10	1	no	—
1126	#121	—	10	1	no	—
1127	#121	—	10	1	no	—
1128	#121	—	10	1	no	—
1129	#121	—	10	1	no	—
1130	#121	—	10	1	no	—
1131	#121	—	10	1	no	—
1132	#121	—	10	1	no	—
1133	#121	—	10	1	no	—
1134	#121	C₂²×D₅	1	1	yes	characteristic
1135	#121	C₂²×D₅	1	1	yes	characteristic
1136	C₄×Q₈	—	5	1	no	—
1137	C₄×Q₈	—	5	1	no	—
1138	C₄×Q₈	—	5	1	no	—
1139	C₄×Q₈	—	5	1	no	—
1140	C₄×Q₈	—	5	1	no	—
1141	C₄×Q₈	—	5	1	no	—
1142	C₄×Q₈	—	10	1	no	—
1143	C₄×Q₈	—	10	1	no	—
1144	C₄×Q₈	—	10	1	no	—
1145	C₄×Q₈	—	10	1	no	—
1146	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1147	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1148	C₄×D₄	—	2	1	no	—
1149	C₄×D₄	—	2	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	—	5	1	no	—
1155	C₄×D₄	—	5	1	no	—
1156	C₄×D₄	—	5	1	no	—
1157	C₄×D₄	—	5	1	no	—
1158	C₄×D₄	—	5	1	no	—
1159	C₄×D₄	—	5	1	no	—
1160	C₄×D₄	—	5	1	no	—
1161	C₄×D₄	—	5	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	—	10	1	no	—
1183	C₄×D₄	—	10	1	no	—
1184	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1185	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1186	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1187	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1188	#117	—	2	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	—	5	1	no	—
1195	#117	—	5	1	no	—
1196	#117	—	5	1	no	—
1197	#117	—	5	1	no	—
1198	#117	—	5	1	no	—
1199	#117	—	5	1	no	—
1200	#117	—	10	1	no	—
1201	#117	—	10	1	no	—
1202	#117	—	10	1	no	—
1203	#117	—	10	1	no	—
1204	#117	—	10	1	no	—
1205	#117	—	10	1	no	—
1206	#117	—	10	1	no	—
1207	#117	—	10	1	no	—
1208	#117	—	10	1	no	—
1209	#117	—	10	1	no	—
1210	#117	—	10	1	no	—
1211	#117	—	10	1	no	—
1212	#117	—	10	1	no	—
1213	#117	C₂²×D₅	1	1	yes	characteristic
1214	C₂×C₄⋊C₄	—	2	1	no	—
1215	C₂×C₄⋊C₄	—	5	1	no	—
1216	C₂×C₄⋊C₄	—	5	1	no	—
1217	C₂×C₄⋊C₄	—	5	1	no	—
1218	C₂×C₄⋊C₄	—	5	1	no	—
1219	C₂×C₄⋊C₄	—	5	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	C₂²×D₅	1	1	yes	characteristic
1226	C₂×C₂²⋊C₄	—	5	1	no	—
1227	C₂×C₂²⋊C₄	—	5	1	no	—
1228	C₂×C₂²⋊C₄	—	10	1	no	—
1229	C₂×C₂²⋊C₄	—	10	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×C₂²⋊C₄	—	10	1	no	—
1236	C₂×C₂²⋊C₄	—	10	1	no	—
1237	C₂×C₄²	—	5	1	no	—
1238	C₂×C₄²	—	5	1	no	—
1239	C₂×C₄²	—	10	1	no	—
1240	C₂×C₄²	—	10	1	no	—
1241	C₂×C₄²	—	10	1	no	—
1242	C₂×C₄²	—	10	1	no	—
1243	C₂×C₄²	—	10	1	no	—
1244	#107	—	5	1	no	—
1245	#107	—	5	1	no	—
1246	#107	—	5	1	no	—
1247	#107	—	5	1	no	—
1248	#107	—	5	1	no	—
1249	#107	—	5	1	no	—
1250	#107	C₂²×D₅	1	1	yes	characteristic
1251	#107	C₂²×D₅	1	1	yes	characteristic
1252	#106	—	5	1	no	—
1253	#106	—	5	1	no	—
1254	#106	—	5	1	no	—
1255	#106	—	5	1	no	—
1256	#106	—	5	1	no	—
1257	#106	—	5	1	no	—
1258	#106	C₂²×D₅	1	1	yes	characteristic
1259	#106	C₂²×D₅	1	1	yes	characteristic
1260	C₄⋊C₈	—	5	1	no	—
1261	C₄⋊C₈	—	5	1	no	—
1262	C₄⋊C₈	—	5	1	no	—
1263	C₄⋊C₈	—	5	1	no	—
1264	C₄⋊C₈	—	5	1	no	—
1265	C₄⋊C₈	—	5	1	no	—
1266	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1267	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1268	#103	—	5	1	no	—
1269	#103	—	5	1	no	—
1270	#103	—	5	1	no	—
1271	#103	—	5	1	no	—
1272	#103	—	5	1	no	—
1273	#103	—	5	1	no	—
1274	#103	C₂²×D₅	1	1	yes	characteristic
1275	#103	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1292	#102	—	5	1	no	—
1293	#102	—	5	1	no	—
1294	#102	C₂²×D₅	1	1	yes	characteristic
1295	#102	C₂²×D₅	1	1	yes	characteristic
1296	#102	C₂²×D₅	1	1	yes	characteristic
1297	#102	C₂²×D₅	1	1	yes	characteristic
1298	#102	C₂²×D₅	1	1	yes	characteristic
1299	#102	C₂²×D₅	1	1	yes	characteristic
1300	C₂²⋊C₈	—	5	1	no	—
1301	C₂²⋊C₈	—	5	1	no	—
1302	C₂²⋊C₈	—	5	1	no	—
1303	C₂²⋊C₈	—	5	1	no	—
1304	C₂²⋊C₈	—	5	1	no	—
1305	C₂²⋊C₈	—	5	1	no	—
1306	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1308	#97	—	5	1	no	—
1309	#97	—	5	1	no	—
1310	#97	—	5	1	no	—
1311	#97	C₂²×D₅	1	1	yes	characteristic
1312	C₄×C₈	—	5	1	no	—
1313	C₄×C₈	—	5	1	no	—
1314	C₄×C₈	—	5	1	no	—
1315	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1316	C₂²×C₅	—	2	1	no	—
1317	C₂²×C₅	—	2	1	no	—
1318	C₂²×C₅	—	2	1	no	—
1319	C₂²×C₅	—	2	2	no	—
1320	C₂²×C₅	—	4	1	no	—
1321	C₂²×C₅	—	4	1	no	—
1322	C₂²×C₅	—	4	1	no	—
1323	C₂²×C₅	—	4	1	no	—
1324	C₂²×C₅	—	4	1	no	—
1325	C₂²×C₅	—	4	1	no	—
1326	C₂²×C₅	—	4	1	no	—
1327	C₂²×C₅	—	4	1	no	—
1328	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1329	C₂×D₅	—	2	1	no	—
1330	C₂×D₅	—	2	1	no	—
1331	C₂×D₅	—	2	1	no	—
1332	C₂×D₅	—	2	1	no	—
1333	C₂×D₅	—	2	1	no	—
1334	C₂×D₅	—	2	2	no	—
1335	C₂×D₅	—	4	1	no	—
1336	C₂×D₅	—	4	1	no	—
1337	C₂×D₅	—	4	1	no	—
1338	C₂×D₅	—	4	1	no	—
1339	C₂×D₅	—	4	1	no	—
1340	C₂×D₅	—	4	1	no	—
1341	C₂×D₅	—	4	1	no	—
1342	C₂×D₅	—	4	1	no	—
1343	C₂×D₅	—	8	2	no	—
1344	C₂×D₅	—	8	4	no	—
1345	C₂×D₅	—	8	4	no	—
1346	C₂×D₅	—	8	4	no	—
1347	C₂×D₅	#525	1	2	yes	—
1348	C₄×C₅	—	2	1	no	—
1349	C₄×C₅	—	2	1	no	—
1350	C₄×C₅	—	2	1	no	—
1351	C₄×C₅	—	2	1	no	—
1352	C₄×C₅	—	2	2	no	—
1353	C₄×C₅	—	2	1	no	—
1354	C₄×C₅	—	4	1	no	—
1355	C₄×C₅	—	4	1	no	—
1356	C₄×C₅	—	4	1	no	—
1357	C₄×C₅	—	4	1	no	—
1358	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1359	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1360	Dic₅	—	2	1	no	—
1361	Dic₅	—	2	1	no	—
1362	Dic₅	—	2	1	no	—
1363	Dic₅	—	2	1	no	—
1364	Dic₅	—	2	1	no	—
1365	Dic₅	—	2	2	no	—
1366	Dic₅	—	4	1	no	—
1367	Dic₅	—	4	1	no	—
1368	Dic₅	—	4	1	no	—
1369	Dic₅	—	4	1	no	—
1370	Dic₅	#525	1	2	yes	—
1371	C₂⁴	—	5	1	no	—
1372	C₂⁴	—	10	1	no	—
1373	C₂⁴	—	10	1	no	—
1374	C₂⁴	—	10	1	no	—
1375	#41	—	2	2	no	—
1376	#41	—	2	2	no	—
1377	#41	—	5	4	no	—
1378	#41	—	5	4	no	—
1379	#41	—	10	2	no	—
1380	#41	—	10	2	no	—
1381	#41	—	10	8	no	—
1382	#41	—	10	2	no	—
1383	#41	—	10	2	no	—
1384	#41	—	10	8	no	—
1385	C₂×Q₈	—	5	1	no	—
1386	C₂×Q₈	—	10	1	no	—
1387	C₂×Q₈	—	10	2	no	—
1388	C₂×Q₈	—	10	2	no	—
1389	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	5	1	no	—
1396	C₂×D₄	—	5	1	no	—
1397	C₂×D₄	—	5	1	no	—
1398	C₂×D₄	—	10	1	no	—
1399	C₂×D₄	—	10	1	no	—
1400	C₂×D₄	—	10	1	no	—
1401	C₂×D₄	—	10	2	no	—
1402	C₂×D₄	—	10	2	no	—
1403	C₂×D₄	—	10	2	no	—
1404	C₂×D₄	—	10	2	no	—
1405	C₂×D₄	—	10	1	no	—
1406	C₂×D₄	—	10	1	no	—
1407	C₂×D₄	—	10	1	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	2	no	—
1413	C₂×D₄	—	10	8	no	—
1414	C₂×D₄	—	10	1	no	—
1415	C₂×D₄	—	10	1	no	—
1416	C₂×D₄	—	10	2	no	—
1417	C₂×D₄	—	10	1	no	—
1418	C₂×D₄	—	10	1	no	—
1419	C₂×D₄	—	10	1	no	—
1420	C₂×D₄	—	10	1	no	—
1421	C₂×D₄	—	10	1	no	—
1422	C₂×D₄	—	10	1	no	—
1423	C₂×D₄	—	40	2	no	—
1424	C₂×D₄	—	40	2	no	—
1425	C₂×D₄	—	40	2	no	—
1426	C₂×D₄	—	40	2	no	—
1427	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1428	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1429	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	5	1	no	—
1437	C₂²×C₄	—	5	1	no	—
1438	C₂²×C₄	—	5	1	no	—
1439	C₂²×C₄	—	5	1	no	—
1440	C₂²×C₄	—	5	1	no	—
1441	C₂²×C₄	—	5	1	no	—
1442	C₂²×C₄	—	5	1	no	—
1443	C₂²×C₄	—	5	1	no	—
1444	C₂²×C₄	—	5	1	no	—
1445	C₂²×C₄	—	10	1	no	—
1446	C₂²×C₄	—	10	2	no	—
1447	C₂²×C₄	—	10	2	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	8	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	—	40	2	no	—
1468	C₂²×C₄	—	40	2	no	—
1469	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1470	SD₁₆	—	2	2	no	—
1471	SD₁₆	—	2	2	no	—
1472	SD₁₆	—	10	2	no	—
1473	SD₁₆	—	10	2	no	—
1474	SD₁₆	—	10	2	no	—
1475	SD₁₆	—	10	2	no	—
1476	SD₁₆	—	10	2	no	—
1477	SD₁₆	—	10	2	no	—
1478	D₈	—	2	2	no	—
1479	D₈	—	2	2	no	—
1480	D₈	—	10	2	no	—
1481	D₈	—	10	2	no	—
1482	D₈	—	10	2	no	—
1483	D₈	—	10	2	no	—
1484	D₈	—	10	2	no	—
1485	D₈	—	10	2	no	—
1486	M₁₆	—	10	2	no	—
1487	M₁₆	—	10	2	no	—
1488	M₁₆	—	10	2	no	—
1489	M₁₆	—	10	2	no	—
1490	C₂×C₈	—	5	1	no	—
1491	C₂×C₈	—	5	1	no	—
1492	C₂×C₈	—	5	1	no	—
1493	C₂×C₈	—	5	1	no	—
1494	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1495	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1496	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1497	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	5	1	no	—
1504	C₄⋊C₄	—	5	1	no	—
1505	C₄⋊C₄	—	5	1	no	—
1506	C₄⋊C₄	—	5	1	no	—
1507	C₄⋊C₄	—	5	1	no	—
1508	C₄⋊C₄	—	5	1	no	—
1509	C₄⋊C₄	—	5	1	no	—
1510	C₄⋊C₄	—	5	1	no	—
1511	C₄⋊C₄	—	5	1	no	—
1512	C₄⋊C₄	—	5	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	—	10	1	no	—
1523	C₄⋊C₄	—	10	1	no	—
1524	C₄⋊C₄	—	10	1	no	—
1525	C₄⋊C₄	—	10	1	no	—
1526	C₄⋊C₄	—	10	1	no	—
1527	C₄⋊C₄	—	10	1	no	—
1528	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1529	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1530	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1531	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1532	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1533	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	5	1	no	—
1541	C₂²⋊C₄	—	5	1	no	—
1542	C₂²⋊C₄	—	5	1	no	—
1543	C₂²⋊C₄	—	5	1	no	—
1544	C₂²⋊C₄	—	5	1	no	—
1545	C₂²⋊C₄	—	5	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	—	10	1	no	—
1562	C₂²⋊C₄	—	10	1	no	—
1563	C₂²⋊C₄	—	10	1	no	—
1564	C₂²⋊C₄	—	10	1	no	—
1565	C₂²⋊C₄	—	10	1	no	—
1566	C₂²⋊C₄	—	10	1	no	—
1567	C₂²⋊C₄	—	10	1	no	—
1568	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1569	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1570	C₄²	—	2	1	no	—
1571	C₄²	—	2	1	no	—
1572	C₄²	—	5	1	no	—
1573	C₄²	—	5	1	no	—
1574	C₄²	—	5	1	no	—
1575	C₄²	—	5	1	no	—
1576	C₄²	—	5	1	no	—
1577	C₄²	—	5	1	no	—
1578	C₄²	—	10	1	no	—
1579	C₄²	—	10	1	no	—
1580	C₄²	—	10	1	no	—
1581	C₄²	—	10	1	no	—
1582	C₄²	—	10	1	no	—
1583	C₄²	—	10	1	no	—
1584	C₄²	—	10	1	no	—
1585	C₄²	—	10	1	no	—
1586	C₄²	—	10	1	no	—
1587	C₄²	—	10	1	no	—
1588	C₄²	C₂³×D₅	1	1	yes	characteristic
1589	C₄²	C₂³×D₅	1	1	yes	characteristic
1590	C₂×C₅	—	4	1	no	—
1591	C₂×C₅	—	4	2	no	—
1592	C₂×C₅	—	8	1	no	—
1593	C₂×C₅	—	8	1	no	—
1594	C₂×C₅	C₂×#525	1	1	yes	characteristic
1595	C₂×C₅	#3585	1	1	yes	characteristic
1596	C₂×C₅	#3585	1	1	yes	characteristic
1597	D₅	—	2	2	no	—
1598	D₅	—	4	1	no	—
1599	D₅	—	4	2	no	—
1600	D₅	—	8	1	no	—
1601	D₅	—	8	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	5	1	no	—
1606	C₂³	—	5	1	no	—
1607	C₂³	—	10	2	no	—
1608	C₂³	—	10	4	no	—
1609	C₂³	—	10	1	no	—
1610	C₂³	—	10	1	no	—
1611	C₂³	—	10	1	no	—
1612	C₂³	—	20	1	no	—
1613	C₂³	—	20	1	no	—
1614	C₂³	—	20	2	no	—
1615	C₂³	—	20	2	no	—
1616	C₂³	—	20	2	no	—
1617	C₂³	—	20	2	no	—
1618	C₂³	—	20	2	no	—
1619	C₂³	—	20	2	no	—
1620	C₂³	—	40	1	no	—
1621	C₂³	—	40	1	no	—
1622	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1623	Q₈	—	2	1	no	—
1624	Q₈	—	5	2	no	—
1625	Q₈	—	10	4	no	—
1626	Q₈	—	10	1	no	—
1627	Q₈	D₅×#41	1	2	yes	—
1628	D₄	—	2	4	no	—
1629	D₄	—	2	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	5	2	no	—
1635	D₄	—	8	1	no	—
1636	D₄	—	8	1	no	—
1637	D₄	—	8	1	no	—
1638	D₄	—	8	1	no	—
1639	D₄	—	10	4	no	—
1640	D₄	—	10	4	no	—
1641	D₄	—	10	4	no	—
1642	D₄	—	10	4	no	—
1643	D₄	—	10	1	no	—
1644	D₄	—	10	1	no	—
1645	D₄	—	10	1	no	—
1646	D₄	—	10	1	no	—
1647	D₄	—	10	1	no	—
1648	D₄	—	20	2	no	—
1649	D₄	—	20	2	no	—
1650	D₄	—	40	1	no	—
1651	D₄	—	40	1	no	—
1652	D₄	—	40	1	no	—
1653	D₄	—	40	1	no	—
1654	D₄	—	40	1	no	—
1655	D₄	—	40	1	no	—
1656	D₄	—	40	1	no	—
1657	D₄	—	40	1	no	—
1658	D₄	—	40	1	no	—
1659	D₄	—	40	1	no	—
1660	D₄	—	40	1	no	—
1661	D₄	—	40	1	no	—
1662	D₄	D₅×#41	1	2	yes	—
1663	C₂×C₄	—	2	4	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	5	1	no	—
1672	C₂×C₄	—	5	2	no	—
1673	C₂×C₄	—	5	2	no	—
1674	C₂×C₄	—	5	1	no	—
1675	C₂×C₄	—	5	1	no	—
1676	C₂×C₄	—	5	1	no	—
1677	C₂×C₄	—	5	1	no	—
1678	C₂×C₄	—	5	1	no	—
1679	C₂×C₄	—	8	1	no	—
1680	C₂×C₄	—	8	1	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	8	1	no	—
1683	C₂×C₄	—	8	1	no	—
1684	C₂×C₄	—	10	2	no	—
1685	C₂×C₄	—	10	4	no	—
1686	C₂×C₄	—	10	2	no	—
1687	C₂×C₄	—	10	4	no	—
1688	C₂×C₄	—	10	4	no	—
1689	C₂×C₄	—	10	2	no	—
1690	C₂×C₄	—	10	4	no	—
1691	C₂×C₄	—	10	1	no	—
1692	C₂×C₄	—	10	1	no	—
1693	C₂×C₄	—	10	1	no	—
1694	C₂×C₄	—	10	1	no	—
1695	C₂×C₄	—	10	1	no	—
1696	C₂×C₄	—	10	1	no	—
1697	C₂×C₄	—	10	1	no	—
1698	C₂×C₄	—	20	1	no	—
1699	C₂×C₄	—	20	1	no	—
1700	C₂×C₄	—	20	1	no	—
1701	C₂×C₄	—	20	1	no	—
1702	C₂×C₄	—	20	2	no	—
1703	C₂×C₄	—	20	2	no	—
1704	C₂×C₄	—	40	1	no	—
1705	C₂×C₄	—	40	1	no	—
1706	C₂×C₄	—	40	1	no	—
1707	C₂×C₄	—	40	1	no	—
1708	C₂×C₄	—	40	1	no	—
1709	C₂×C₄	—	40	1	no	—
1710	C₂×C₄	—	40	1	no	—
1711	C₂×C₄	—	40	1	no	—
1712	C₂×C₄	—	40	1	no	—
1713	C₂×C₄	—	40	1	no	—
1714	C₂×C₄	—	40	1	no	—
1715	C₂×C₄	—	40	1	no	—
1716	C₂×C₄	—	40	1	no	—
1717	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1718	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1719	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1720	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1721	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1722	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1723	C₈	—	2	1	no	—
1724	C₈	—	2	1	no	—
1725	C₈	—	2	1	no	—
1726	C₈	—	2	1	no	—
1727	C₈	—	10	1	no	—
1728	C₈	—	10	1	no	—
1729	C₈	—	10	1	no	—
1730	C₈	—	10	1	no	—
1731	C₅	#60568	1	1	yes	characteristic, complemented, Sylow
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	2	no	—
1734	C₂²	—	2	1	no	—
1735	C₂²	—	2	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	5	2	no	—
1745	C₂²	—	10	1	no	—
1746	C₂²	—	10	1	no	—
1747	C₂²	—	10	1	no	—
1748	C₂²	—	10	2	no	—
1749	C₂²	—	10	1	no	—
1750	C₂²	—	10	1	no	—
1751	C₂²	—	20	1	no	—
1752	C₂²	—	20	1	no	—
1753	C₂²	—	20	1	no	—
1754	C₂²	—	20	1	no	—
1755	C₂²	—	20	1	no	—
1756	C₂²	—	20	1	no	—
1757	C₂²	—	20	1	no	—
1758	C₂²	—	20	1	no	—
1759	C₂²	—	40	2	no	—
1760	C₂²	—	40	4	no	—
1761	C₂²	—	40	4	no	—
1762	C₂²	—	40	4	no	—
1763	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1764	C₄	—	2	1	no	—
1765	C₄	—	2	2	no	—
1766	C₄	—	2	1	no	—
1767	C₄	—	2	1	no	—
1768	C₄	—	2	1	no	—
1769	C₄	—	2	1	no	—
1770	C₄	—	4	1	no	—
1771	C₄	—	4	1	no	—
1772	C₄	—	4	1	no	—
1773	C₄	—	4	1	no	—
1774	C₄	—	5	2	no	—
1775	C₄	—	10	1	no	—
1776	C₄	—	10	2	no	—
1777	C₄	—	10	1	no	—
1778	C₄	—	10	1	no	—
1779	C₄	—	10	1	no	—
1780	C₄	—	10	1	no	—
1781	C₄	—	20	1	no	—
1782	C₄	—	20	1	no	—
1783	C₄	—	20	1	no	—
1784	C₄	—	20	1	no	—
1785	C₄	C₂×D₅×#41	1	1	yes	characteristic
1786	C₄	C₂×D₅×#41	1	1	yes	characteristic
1787	C₂	—	4	1	no	—
1788	C₂	—	4	2	no	—
1789	C₂	—	8	1	no	—
1790	C₂	—	8	1	no	—
1791	C₂	—	10	2	no	—
1792	C₂	—	20	1	no	—
1793	C₂	—	20	2	no	—
1794	C₂	—	40	1	no	—
1795	C₂	—	40	1	no	—
1796	C₂	D₅×#525	1	1	yes	characteristic
1797	C₂	#10619105	1	1	yes	characteristic
1798	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×#3119	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3119	D₅
hypocenter	C₅	#60568
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3119

Complements

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

N	H ≅ G/N	type
1. D₅×#540	C₂	semidirect
2. #10617786	C₂	semidirect
3. C₅×#3119	C₂	semidirect
4. #10615165	C₂	semidirect
5. #10614299	C₂	semidirect
6. #10613057	C₂	semidirect
7. #10613043	C₂	semidirect
8. #10613014	C₂	semidirect
9. #10613003	C₂	semidirect
10. #10612962	C₂	semidirect
11. #10612941	C₂	semidirect
12. #10612898	C₂	semidirect
13. #10612877	C₂	semidirect
14. #10612115	C₂	semidirect
15. #10612096	C₂	semidirect
16. #10612064	C₂	semidirect
17. #10612048	C₂	semidirect
18. #10611815	C₂	semidirect
19. #10611815	C₂	semidirect
20. #10611804	C₂	semidirect
21. #10611803	C₂	semidirect
22. #10611605	C₂	semidirect
23. #10611596	C₂	semidirect
24. #10611520	C₂	semidirect
25. #10611504	C₂	semidirect
26. #10611392	C₂	semidirect
27. C₄×#4060	C₂	semidirect
28. #10611327	C₂	semidirect
29. C₄×#4057	C₂	semidirect
30. #10611115	C₂	semidirect
31. #10611102	C₂	semidirect
33. C₅×#540	C₂²	semidirect
34. C₅×#520	C₂²	semidirect
35. #66161	C₂²	semidirect
41. D₅×#127	C₂²	semidirect
43. D₅×#125	C₂²	semidirect
48. #65953	C₂²	semidirect
49. #65953	C₂²	semidirect
58. #65906	C₂²	semidirect
59. #65906	C₂²	semidirect
64. #65879	C₂²	semidirect
65. #65879	C₂²	semidirect
66. C₄×D₄×D₅	C₂²	semidirect
67. C₄×D₄×D₅	C₂²	semidirect
72. #65869	C₂²	semidirect
74. #65857	C₂²	semidirect
78. #65838	C₂²	semidirect
81. C₅×#481	C₂²	semidirect
82. C₅×#480	C₂²	semidirect
83. C₅×#479	C₂²	semidirect
84. C₅×#478	C₂²	semidirect
85. C₅×#460	C₂²	semidirect
86. C₅×#459	C₂²	semidirect
87. C₅×#449	C₂²	semidirect
88. C₅×#449	C₂²	semidirect
89. C₅×#442	C₂²	semidirect
90. C₅×#440	C₂²	semidirect
91. C₄×C₅×SD₁₆	C₂²	semidirect
92. C₄×C₅×D₈	C₂²	semidirect
93. C₅×#433	C₂²	semidirect
94. #65527	C₂²	semidirect
95. #65527	C₂²	semidirect
96. #65459	C₂²	semidirect
97. #65459	C₂²	semidirect
98. #65453	C₂²	semidirect
99. #65452	C₂²	semidirect
100. #65452	C₂²	semidirect
101. SD₁₆×Dic₅	C₂²	semidirect
102. #65445	C₂²	semidirect
103. #65445	C₂²	semidirect
104. #65441	C₂²	semidirect
105. #65439	C₂²	semidirect
106. #65439	C₂²	semidirect
107. D₈×Dic₅	C₂²	semidirect
108. #65364	C₂²	semidirect
109. #65361	C₂²	semidirect
110. #65355	C₂²	semidirect
111. #65352	C₂²	semidirect
112. #65326	C₂²	semidirect
113. #65326	C₂²	semidirect
114. #65323	C₂²	semidirect
115. #65322	C₂²	semidirect
116. #65316	C₂²	semidirect
117. #65315	C₂²	semidirect
118. C₄×#688	C₂²	semidirect
119. #65311	C₂²	semidirect
120. #65307	C₂²	semidirect
121. C₄×#687	C₂²	semidirect
122. #65304	C₂²	semidirect
123. #65303	C₂²	semidirect
124. #65303	C₂²	semidirect
125. C₄×#686	C₂²	semidirect
126. C₄×#686	C₂²	semidirect
127. #65298	C₂²	semidirect
128. #65289	C₂²	semidirect
129. #65257	C₂²	semidirect
130. #65256	C₂²	semidirect
131. #65180	C₂²	semidirect
132. #65178	C₂²	semidirect
133. #65174	C₂²	semidirect
134. #65174	C₂²	semidirect
135. #65170	C₂²	semidirect
136. #65170	C₂²	semidirect
137. #65166	C₂²	semidirect
138. #65161	C₂²	semidirect
139. #65160	C₂²	semidirect
140. #65158	C₂²	semidirect
141. #65155	C₂²	semidirect
142. #65155	C₂²	semidirect
143. #65150	C₂²	semidirect
144. #65150	C₂²	semidirect
145. #65146	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65137	C₂²	semidirect
148. #65136	C₂²	semidirect
149. #65132	C₂²	semidirect
150. #65129	C₂²	semidirect
151. #65129	C₂²	semidirect
152. #65126	C₂²	semidirect
153. #65126	C₂²	semidirect
154. #65118	C₂²	semidirect
155. #65106	C₂²	semidirect
156. #65095	C₂²	semidirect
157. #65095	C₂²	semidirect
160. #65088	C₂²	semidirect
161. #65085	C₂²	semidirect
162. #65077	C₂²	semidirect
163. #65075	C₂²	semidirect
164. #65075	C₂²	semidirect
165. #65074	C₂²	semidirect
166. #65074	C₂²	semidirect
167. #65073	C₂²	semidirect
168. #65073	C₂²	semidirect
169. #65068	C₂²	semidirect
170. #65068	C₂²	semidirect
171. #65062	C₂²	semidirect
172. #65062	C₂²	semidirect
175. #65059	C₂²	semidirect
176. #65059	C₂²	semidirect
177. #65059	C₂²	semidirect
178. #65059	C₂²	semidirect
179. #65055	C₂²	semidirect
180. #65052	C₂²	semidirect
181. #65051	C₂²	semidirect
182. #65051	C₂²	semidirect
183. #65047	C₂²	semidirect
184. #65046	C₂²	semidirect
185. #65045	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65025	C₂²	semidirect
188. #65024	C₂²	semidirect
189. #65023	C₂²	semidirect
190. #65023	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #65000	C₂²	semidirect
196. #64999	C₂²	semidirect
197. #64998	C₂²	semidirect
198. #64996	C₂²	semidirect
199. C₄×D₄₀	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64979	C₂²	semidirect
202. C₄×#676	C₂²	semidirect
502. #3119	D₅	semidirect
751. #540	C₂×D₅	semidirect
765. #520	C₂×D₅	semidirect
795. #481	C₂×D₅	semidirect
799. #480	C₂×D₅	semidirect
807. #479	C₂×D₅	semidirect
815. #478	C₂×D₅	semidirect
823. #460	C₂×D₅	semidirect
831. #459	C₂×D₅	semidirect
838. #449	C₂×D₅	semidirect
839. #449	C₂×D₅	semidirect
855. #442	C₂×D₅	semidirect
863. #440	C₂×D₅	semidirect
871. C₄×SD₁₆	C₂×D₅	semidirect
879. C₄×D₈	C₂×D₅	semidirect
887. #433	C₂×D₅	semidirect
1731. C₅	#60568	semidirect

Maximal subgroups

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

subgroup	index
D₅×#540	2
#10617786	2
C₅×#3119	2
#10615165	2
#10614299	2
#10613057	2
#10613043	2
#10613014	2
#10613003	2
#10612962	2
#10612941	2
#10612898	2
#10612877	2
#10612115	2
#10612096	2
#10612064	2
#10612048	2
#10611815	2
#10611804	2
#10611803	2
#10611605	2
#10611596	2
#10611520	2
#10611504	2
#10611392	2
C₄×#4060	2
#10611327	2
C₄×#4057	2
#10611115	2
#10611102	2
#60568	5