Subgroups — #12992586

Order 1280.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618967	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618954	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615445	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615442	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613587	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613587	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613584	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613582	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613562	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613558	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612359	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612354	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612346	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612333	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612292	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612283	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612267	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612246	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612086	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612081	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612078	C₂	1	1	yes	maximal, characteristic, complemented
23	D₅×#459	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611700	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611677	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611543	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611531	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611530	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611513	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611339	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611327	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#559	C₂²	1	1	yes	characteristic, complemented
33	C₅×#559	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4065	C₂²	1	1	yes	characteristic, complemented
35	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
36	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
40	#66053	C₂²	1	1	yes	characteristic, complemented
41	#66051	C₂²	1	1	yes	characteristic, complemented
42	#66051	C₂²	1	1	yes	characteristic, complemented
43	D₅×#127	C₂²	1	1	yes	characteristic, complemented
44	#66016	C₂²	1	1	yes	characteristic, complemented
45	#66014	C₂²	1	1	yes	characteristic, complemented
46	#66013	—	2	1	no	—
47	#66012	—	2	1	no	—
48	#66010	—	2	1	no	—
49	#66010	C₂²	1	1	yes	characteristic
50	#66010	C₂²	1	1	yes	characteristic, complemented
51	#66010	C₂²	1	1	yes	characteristic, complemented
52	#66010	C₂²	1	1	yes	characteristic, complemented
53	#66008	—	2	1	no	—
54	#66008	C₂²	1	1	yes	characteristic, complemented
55	#66008	C₂²	1	1	yes	characteristic, complemented
56	#66000	—	2	1	no	—
57	#66000	—	2	1	no	—
58	#65995	—	2	1	no	—
59	#65994	—	2	1	no	—
60	#65988	—	2	1	no	—
61	#65987	—	2	1	no	—
62	#65987	—	2	1	no	—
63	D₅×#123	—	2	1	no	—
64	#65915	C₂²	1	1	yes	characteristic, complemented
65	#65914	C₂²	1	1	yes	characteristic
66	#65914	C₂²	1	1	yes	characteristic, complemented
67	#65913	C₂²	1	1	yes	characteristic, complemented
68	#65911	C₂²	1	1	yes	characteristic, complemented
69	#65911	C₂²	1	1	yes	characteristic, complemented
70	#65908	C₂²	1	1	yes	characteristic, complemented
71	#65896	—	2	1	no	—
72	#65896	C₂²	1	1	yes	characteristic, complemented
73	#65896	C₂²	1	1	yes	characteristic, complemented
74	#65892	C₂²	1	1	yes	characteristic, complemented
75	#65890	—	2	1	no	—
76	#65885	C₂²	1	1	yes	characteristic, complemented
77	D₄×D₂₀	—	2	1	no	—
78	D₄×D₂₀	C₂²	1	1	yes	characteristic
79	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
80	#65881	—	2	1	no	—
81	#65879	C₂²	1	1	yes	characteristic, complemented
82	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
83	C₅×#496	C₂²	1	1	yes	characteristic, complemented
84	C₅×#496	C₂²	1	1	yes	characteristic, complemented
85	C₅×#495	C₂²	1	1	yes	characteristic, complemented
86	C₅×#464	C₂²	1	1	yes	characteristic, complemented
87	C₅×#464	C₂²	1	1	yes	characteristic, complemented
88	C₅×#463	C₂²	1	1	yes	characteristic, complemented
89	C₅×#463	C₂²	1	1	yes	characteristic, complemented
90	C₅×#459	C₂²	1	1	yes	characteristic, complemented
91	C₅×#459	C₂²	1	1	yes	characteristic, complemented
92	C₅×#446	C₂²	1	1	yes	characteristic, complemented
93	C₅×#440	C₂²	1	1	yes	characteristic, complemented
94	C₅×#440	C₂²	1	1	yes	characteristic, complemented
95	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
96	#65477	C₂²	1	1	yes	characteristic, complemented
97	#65476	C₂²	1	1	yes	characteristic, complemented
98	#65474	C₂²	1	1	yes	characteristic, complemented
99	#65461	C₂²	1	1	yes	characteristic, complemented
100	#65461	C₂²	1	1	yes	characteristic, complemented
101	#65461	C₂²	1	1	yes	characteristic, complemented
102	#65461	C₂²	1	1	yes	characteristic, complemented
103	#65460	C₂²	1	1	yes	characteristic, complemented
104	#65460	C₂²	1	1	yes	characteristic, complemented
105	#65458	C₂²	1	1	yes	characteristic, complemented
106	#65458	C₂²	1	1	yes	characteristic, complemented
107	#65458	C₂²	1	1	yes	characteristic, complemented
108	#65458	C₂²	1	1	yes	characteristic, complemented
109	#65454	C₂²	1	1	yes	characteristic, complemented
110	#65454	C₂²	1	1	yes	characteristic, complemented
111	#65452	C₂²	1	1	yes	characteristic, complemented
112	#65452	C₂²	1	1	yes	characteristic, complemented
113	#65448	C₂²	1	1	yes	characteristic, complemented
114	#65448	C₂²	1	1	yes	characteristic, complemented
115	#65446	C₂²	1	1	yes	characteristic, complemented
116	#65445	C₂²	1	1	yes	characteristic, complemented
117	#65445	C₂²	1	1	yes	characteristic, complemented
118	#65445	C₂²	1	1	yes	characteristic, complemented
119	#65445	C₂²	1	1	yes	characteristic, complemented
120	#65445	C₂²	1	1	yes	characteristic, complemented
121	#65445	C₂²	1	1	yes	characteristic, complemented
122	#65439	C₂²	1	1	yes	characteristic, complemented
123	#65439	C₂²	1	1	yes	characteristic, complemented
124	#65439	C₂²	1	1	yes	characteristic, complemented
125	#65439	C₂²	1	1	yes	characteristic, complemented
126	#65362	C₂²	1	1	yes	characteristic, complemented
127	#65361	C₂²	1	1	yes	characteristic
128	#65361	C₂²	1	1	yes	characteristic, complemented
129	#65360	C₂²	1	1	yes	characteristic, complemented
130	#65347	C₂²	1	1	yes	characteristic, complemented
131	#65347	C₂²	1	1	yes	characteristic, complemented
132	#65346	C₂²	1	1	yes	characteristic, complemented
133	#65346	C₂²	1	1	yes	characteristic, complemented
134	#65346	C₂²	1	1	yes	characteristic, complemented
135	#65346	C₂²	1	1	yes	characteristic, complemented
136	#65345	C₂²	1	1	yes	characteristic, complemented
137	#65344	C₂²	1	1	yes	characteristic, complemented
138	#65316	C₂²	1	1	yes	characteristic, complemented
139	#65315	C₂²	1	1	yes	characteristic, complemented
140	C₄×#688	C₂²	1	1	yes	characteristic, complemented
141	#65313	C₂²	1	1	yes	characteristic, complemented
142	#65311	C₂²	1	1	yes	characteristic, complemented
143	#65304	C₂²	1	1	yes	characteristic, complemented
144	#65304	C₂²	1	1	yes	characteristic, complemented
145	#65303	C₂²	1	1	yes	characteristic, complemented
146	#65303	C₂²	1	1	yes	characteristic, complemented
147	#65303	C₂²	1	1	yes	characteristic, complemented
148	C₄×#686	C₂²	1	1	yes	characteristic, complemented
149	#65298	C₂²	1	1	yes	characteristic, complemented
150	#65296	C₂²	1	1	yes	characteristic, complemented
151	#65180	C₂²	1	1	yes	characteristic, complemented
152	#65174	C₂²	1	1	yes	characteristic, complemented
153	#65171	C₂²	1	1	yes	characteristic, complemented
154	#65171	C₂²	1	1	yes	characteristic, complemented
155	#65136	C₂²	1	1	yes	characteristic, complemented
156	#65136	C₂²	1	1	yes	characteristic, complemented
157	#65132	C₂²	1	1	yes	characteristic, complemented
158	#65132	C₂²	1	1	yes	characteristic, complemented
159	#65132	C₂²	1	1	yes	characteristic, complemented
160	#65131	C₂²	1	1	yes	characteristic, complemented
161	#65128	C₂²	1	1	yes	characteristic, complemented
162	#65128	C₂²	1	1	yes	characteristic, complemented
163	#65125	C₂²	1	1	yes	characteristic, complemented
164	#65125	C₂²	1	1	yes	characteristic, complemented
165	#65123	C₂²	1	1	yes	characteristic, complemented
166	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	#65108	C₂²	1	1	yes	characteristic, complemented
168	#65101	C₂²	1	1	yes	characteristic, complemented
169	#65100	C₂²	1	1	yes	characteristic, complemented
170	#65096	C₂²	1	1	yes	characteristic, complemented
171	#65094	C₂²	1	1	yes	characteristic, complemented
172	#65093	C₂²	1	1	yes	characteristic, complemented
173	#65092	C₂²	1	1	yes	characteristic, complemented
174	#65088	C₂²	1	1	yes	characteristic, complemented
175	#65075	C₂²	1	1	yes	characteristic, complemented
176	#65075	C₂²	1	1	yes	characteristic, complemented
177	#65073	C₂²	1	1	yes	characteristic, complemented
178	#65071	C₂²	1	1	yes	characteristic, complemented
179	#65066	C₂²	1	1	yes	characteristic, complemented
180	#65064	C₂²	1	1	yes	characteristic
181	#65064	C₂²	1	1	yes	characteristic, complemented
182	#65064	C₂²	1	1	yes	characteristic, complemented
183	#65062	C₂²	1	1	yes	characteristic
184	#65062	C₂²	1	1	yes	characteristic, complemented
185	#65059	C₂²	1	1	yes	characteristic, complemented
186	D₅×#102	C₂²	1	1	yes	characteristic, complemented
187	D₅×#102	C₂²	1	1	yes	characteristic, complemented
188	D₅×#102	C₂²	1	1	yes	characteristic, complemented
189	#65055	C₂²	1	1	yes	characteristic, complemented
190	#65052	C₂²	1	1	yes	characteristic, complemented
191	#65002	C₂²	1	1	yes	characteristic, complemented
192	#65002	C₂²	1	1	yes	characteristic, complemented
193	#65000	C₂²	1	1	yes	characteristic, complemented
194	#65000	C₂²	1	1	yes	characteristic, complemented
195	#64998	C₂²	1	1	yes	characteristic, complemented
196	#64995	C₂²	1	1	yes	characteristic, complemented
197	#64995	C₂²	1	1	yes	characteristic, complemented
198	#64994	C₂²	1	1	yes	characteristic, complemented
199	#64983	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
201	#64979	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
203	#62007	—	5	1	no	maximal, Sylow
204	C₂×#713	—	2	1	no	—
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×#713	C₂³	1	1	yes	characteristic
207	C₂×#713	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₅	—	2	1	no	—
209	C₂×D₄×D₅	—	2	1	no	—
210	C₂×D₄×D₅	—	2	1	no	—
211	C₂×D₄×D₅	—	2	1	no	—
212	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
218	C₂×#709	—	2	1	no	—
219	C₂²×D₂₀	—	2	1	no	—
220	C₂²×D₂₀	—	2	1	no	—
221	C₂²×C₄×D₅	—	2	1	no	—
222	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₅×SD₁₆	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	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
230	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
231	C₅×#127	C₂³	1	1	yes	characteristic
232	C₅×#127	C₂³	1	1	yes	characteristic
233	C₅×#124	—	2	1	no	—
234	C₅×#124	—	2	1	no	—
235	C₅×#124	C₂³	1	1	yes	characteristic
236	C₅×#124	C₂³	1	1	yes	characteristic
237	C₅×#124	C₂³	1	1	yes	characteristic
238	C₅×#124	C₂³	1	1	yes	characteristic
239	C₅×#123	—	2	1	no	—
240	C₅×#123	—	2	1	no	—
241	C₅×#123	—	2	1	no	—
242	C₅×#123	—	2	1	no	—
243	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
244	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
245	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
246	C₄×C₅×D₄	—	2	1	no	—
247	C₄×C₅×D₄	—	2	1	no	—
248	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
249	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
250	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
251	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
252	#4093	D₄	1	1	yes	characteristic
253	#4093	C₂³	1	1	yes	characteristic
254	#4092	—	2	1	no	—
255	#4092	D₄	1	1	yes	characteristic
256	#4092	C₂³	1	1	yes	characteristic
257	#4092	C₂³	1	1	yes	characteristic
258	#4092	C₂³	1	1	yes	characteristic
259	Q₈×Dic₅	C₂³	1	1	yes	characteristic
260	C₂×#688	C₂³	1	1	yes	characteristic
261	C₂×#688	C₂³	1	1	yes	characteristic
262	C₂×#688	C₂³	1	1	yes	characteristic
263	C₂×#688	C₂³	1	1	yes	characteristic
264	#4086	—	2	1	no	—
265	#4086	—	2	1	no	—
266	#4086	C₂³	1	1	yes	characteristic
267	#4086	C₂³	1	1	yes	characteristic
268	#4085	—	2	1	no	—
269	#4085	—	2	1	no	—
270	#4084	—	2	1	no	—
271	#4084	—	2	1	no	—
272	#4084	C₂³	1	1	yes	characteristic
273	#4084	C₂³	1	1	yes	characteristic
274	#4084	C₂³	1	1	yes	characteristic
275	#4084	C₂³	1	1	yes	characteristic
276	#4084	C₂³	1	1	yes	characteristic
277	#4084	C₂³	1	1	yes	characteristic
278	#4083	—	2	1	no	—
279	#4083	—	2	1	no	—
280	#4083	—	2	1	no	—
281	#4083	—	2	1	no	—
282	#4081	—	2	1	no	—
283	#4081	—	2	1	no	—
284	D₄×Dic₅	C₂³	1	1	yes	characteristic
285	D₄×Dic₅	C₂³	1	1	yes	characteristic
286	C₂×#686	C₂³	1	1	yes	characteristic
287	C₂×#686	C₂³	1	1	yes	characteristic
288	C₂×#686	C₂³	1	1	yes	characteristic
289	C₂×#686	C₂³	1	1	yes	characteristic
290	C₂×#686	C₂³	1	1	yes	characteristic
291	C₂×#686	C₂³	1	1	yes	characteristic
292	C₂×#686	C₂³	1	1	yes	characteristic
293	C₂×#686	C₂³	1	1	yes	characteristic
294	#4076	—	2	1	no	—
295	#4076	—	2	1	no	—
296	#4076	—	2	1	no	—
297	#4076	—	2	1	no	—
298	#4075	—	2	1	no	—
299	#4075	—	2	1	no	—
300	#4075	—	2	1	no	—
301	C₄×C₂²⋊D₅	—	2	1	no	—
302	C₄×C₂²⋊D₅	—	2	1	no	—
303	C₄×C₂²⋊D₅	—	2	1	no	—
304	C₂×#685	—	2	1	no	—
305	#4070	—	2	1	no	—
306	#4065	—	4	2	no	—
307	#4060	—	4	2	no	—
308	#4060	—	4	2	no	—
309	D₅×D₈	—	4	2	no	—
310	D₅×D₈	—	4	2	no	—
311	D₅×D₈	—	4	2	no	—
312	C₂×D₄₀	C₂³	1	1	yes	characteristic
313	C₂×D₄₀	C₂³	1	1	yes	characteristic
314	C₂×D₄₀	C₂³	1	1	yes	characteristic
315	C₂×#676	C₂³	1	1	yes	characteristic
316	C₂×#676	C₂³	1	1	yes	characteristic
317	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
321	#4044	—	2	1	no	—
322	#4044	D₄	1	1	yes	characteristic
323	#4044	D₄	1	1	yes	characteristic
324	#4042	—	2	1	no	—
325	#4042	—	2	1	no	—
326	#4041	—	2	1	no	—
327	#4041	—	2	1	no	—
328	#4041	—	2	1	no	—
329	#4041	—	2	1	no	—
330	#4041	—	2	1	no	—
331	#4041	D₄	1	1	yes	characteristic
332	#4041	C₂³	1	1	yes	characteristic
333	#4041	C₂³	1	1	yes	characteristic
334	#4041	C₂³	1	1	yes	characteristic
335	#4040	—	2	1	no	—
336	#4040	—	2	1	no	—
337	#4040	D₄	1	1	yes	characteristic
338	#4040	D₄	1	1	yes	characteristic
339	#4039	—	2	1	no	—
340	#4039	C₂³	1	1	yes	characteristic
341	#4038	C₂³	1	1	yes	characteristic
342	D₅×C₄⋊C₄	—	2	1	no	—
343	D₅×C₄⋊C₄	—	2	1	no	—
344	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
345	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
346	#4036	D₄	1	1	yes	characteristic
347	#4036	C₂³	1	1	yes	characteristic
348	#4035	—	2	1	no	—
349	#4032	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4030	—	2	1	no	—
352	#4030	—	2	1	no	—
353	#4030	—	2	1	no	—
354	#4030	—	2	1	no	—
355	#4030	—	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	#4029	—	2	1	no	—
366	#4029	—	2	1	no	—
367	#4029	—	2	1	no	—
368	#4029	—	2	1	no	—
369	#4029	—	2	1	no	—
370	#4029	—	2	1	no	—
371	#4028	—	2	1	no	—
372	#4028	—	2	1	no	—
373	#4028	—	2	1	no	—
374	#4028	—	2	1	no	—
375	#4028	—	2	1	no	—
376	#4028	—	2	1	no	—
377	#4028	—	2	1	no	—
378	#4028	—	2	1	no	—
379	#4028	—	2	1	no	—
380	#4028	—	2	1	no	—
381	#4028	—	2	1	no	—
382	#4028	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	—	2	1	no	—
386	D₅×C₂²⋊C₄	—	2	1	no	—
387	D₅×C₂²⋊C₄	—	2	1	no	—
388	D₅×C₂²⋊C₄	—	2	1	no	—
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	#4025	—	2	1	no	—
393	#4025	—	2	1	no	—
394	#4025	—	2	1	no	—
395	#4024	—	2	1	no	—
396	#4023	—	2	1	no	—
397	#4022	—	2	1	no	—
398	#4020	—	2	1	no	—
399	#4020	C₂³	1	1	yes	characteristic
400	#4020	C₂³	1	1	yes	characteristic
401	#4020	C₂³	1	1	yes	characteristic
402	C₄×D₂₀	—	2	1	no	—
403	C₄×D₂₀	—	2	1	no	—
404	C₄×D₂₀	—	2	1	no	—
405	C₄×D₂₀	C₂³	1	1	yes	characteristic
406	C₄×D₂₀	C₂³	1	1	yes	characteristic
407	C₄×D₂₀	C₂³	1	1	yes	characteristic
408	C₄×D₂₀	C₂³	1	1	yes	characteristic
409	C₄×D₂₀	C₂³	1	1	yes	characteristic
410	C₄×D₂₀	C₂³	1	1	yes	characteristic
411	C₄×D₂₀	C₂³	1	1	yes	characteristic
412	C₄×D₂₀	C₂³	1	1	yes	characteristic
413	C₄×D₂₀	C₂³	1	1	yes	characteristic
414	#4018	—	2	1	no	—
415	#4018	—	2	1	no	—
416	#4018	—	2	1	no	—
417	#4018	C₂³	1	1	yes	characteristic
418	#4018	C₂³	1	1	yes	characteristic
419	C₄²×D₅	C₂³	1	1	yes	characteristic
420	#4016	C₂³	1	1	yes	characteristic
421	#4016	C₂³	1	1	yes	characteristic
422	#4015	C₂³	1	1	yes	characteristic
423	C₅×#107	C₂³	1	1	yes	characteristic
424	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#97	C₂³	1	1	yes	characteristic
434	C₅×#97	C₂³	1	1	yes	characteristic
435	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
436	#3967	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3964	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	#3964	C₂³	1	1	yes	characteristic
448	#3953	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3953	C₂³	1	1	yes	characteristic
452	#3953	C₂³	1	1	yes	characteristic
453	#3953	C₂³	1	1	yes	characteristic
454	#3953	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
456	#3953	C₂³	1	1	yes	characteristic
457	#3953	C₂³	1	1	yes	characteristic
458	#3952	C₂³	1	1	yes	characteristic
459	#3952	C₂³	1	1	yes	characteristic
460	#3952	C₂³	1	1	yes	characteristic
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3950	C₂³	1	1	yes	characteristic
465	#3949	C₂³	1	1	yes	characteristic
466	#3949	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	#3946	C₂³	1	1	yes	characteristic
470	#3946	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3941	C₂³	1	1	yes	characteristic
474	#3941	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	C₄⋊#168	C₂³	1	1	yes	characteristic
480	C₄⋊#168	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	#3935	C₂³	1	1	yes	characteristic
483	#3935	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3543	—	5	1	no	—
486	#3513	—	5	1	no	—
487	#3403	D₅	1	1	yes	characteristic, complemented
488	#3399	—	5	1	no	—
489	#3370	—	5	1	no	—
490	#3366	—	5	1	no	—
491	#3318	—	5	1	no	—
492	#3310	—	5	1	no	—
493	#3309	—	5	1	no	—
494	#3306	—	5	1	no	—
495	#3296	—	5	1	no	—
496	#3294	—	5	1	no	—
497	#3280	—	5	1	no	—
498	D₄×D₈	—	5	1	no	—
499	#3268	—	5	1	no	—
500	#3264	—	5	1	no	—
501	#3264	—	5	1	no	—
502	#3264	—	5	1	no	—
503	#3259	—	5	1	no	—
504	#3257	—	5	1	no	—
505	#3250	—	5	1	no	—
506	#3224	—	5	1	no	—
507	#3220	—	5	1	no	—
508	#3217	—	5	1	no	—
509	#3122	—	5	1	no	—
510	#3119	—	5	1	no	—
511	#3114	—	5	1	no	—
512	#3045	—	5	1	no	—
513	#3041	—	5	1	no	—
514	C₂×#459	—	5	1	no	—
515	#2992	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₂³×D₅	—	2	1	no	—
518	C₂³×D₅	—	2	1	no	—
519	C₂³×D₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	—	2	1	no	—
522	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
529	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
530	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
531	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
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	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	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	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂²×Dic₅	—	2	1	no	—
554	C₂²×Dic₅	—	2	1	no	—
555	#713	—	2	2	no	—
556	#713	—	4	1	no	—
557	#713	—	4	1	no	—
558	#713	—	4	1	no	—
559	#713	—	4	1	no	—
560	#713	—	4	1	no	—
561	#713	—	8	2	no	—
562	D₄×D₅	—	2	2	no	—
563	D₄×D₅	—	2	2	no	—
564	D₄×D₅	—	4	1	no	—
565	D₄×D₅	—	4	1	no	—
566	D₄×D₅	—	4	1	no	—
567	D₄×D₅	—	4	1	no	—
568	D₄×D₅	—	4	1	no	—
569	D₄×D₅	—	4	1	no	—
570	D₄×D₅	—	4	1	no	—
571	D₄×D₅	—	4	1	no	—
572	D₄×D₅	—	4	1	no	—
573	D₄×D₅	—	4	1	no	—
574	D₄×D₅	—	8	2	no	—
575	D₄×D₅	—	8	2	no	—
576	D₄×D₅	—	8	2	no	—
577	D₄×D₅	—	8	2	no	—
578	#709	—	8	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	—	2	1	no	—
585	C₂×D₂₀	—	2	1	no	—
586	C₂×D₂₀	—	2	1	no	—
587	C₂×D₂₀	—	2	1	no	—
588	C₂×D₂₀	—	2	1	no	—
589	C₂×D₂₀	—	2	1	no	—
590	C₂×D₂₀	—	2	1	no	—
591	C₂×D₂₀	—	8	2	no	—
592	C₂×D₂₀	—	8	2	no	—
593	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
594	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
595	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
596	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
597	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
598	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
599	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
604	C₂×C₄×D₅	—	2	1	no	—
605	C₂×C₄×D₅	—	2	1	no	—
606	C₂×C₄×D₅	—	2	1	no	—
607	C₂×C₄×D₅	—	2	1	no	—
608	C₂×C₄×D₅	—	2	1	no	—
609	C₂×C₄×D₅	—	2	1	no	—
610	C₂×C₄×D₅	—	2	1	no	—
611	C₂×C₄×D₅	—	2	1	no	—
612	C₂×C₄×D₅	—	8	2	no	—
613	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
614	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
615	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
616	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
617	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
618	C₂×Dic₁₀	—	2	1	no	—
619	C₅×Q₁₆	—	4	1	no	—
620	C₅×SD₁₆	—	4	1	no	—
621	C₅×SD₁₆	—	4	1	no	—
622	C₅×SD₁₆	—	4	1	no	—
623	C₅×SD₁₆	—	4	1	no	—
624	C₅×D₈	—	4	1	no	—
625	C₅×D₈	—	4	1	no	—
626	C₅×D₈	—	4	1	no	—
627	C₅×D₈	—	4	1	no	—
628	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
629	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
630	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
631	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
632	C₅×C₄⋊C₄	—	2	1	no	—
633	C₅×C₄⋊C₄	—	2	1	no	—
634	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₅×C₂²⋊C₄	—	2	1	no	—
640	C₅×C₂²⋊C₄	—	2	1	no	—
641	C₅×C₂²⋊C₄	—	2	1	no	—
642	C₅×C₂²⋊C₄	—	2	1	no	—
643	C₅×C₂²⋊C₄	—	2	1	no	—
644	C₅×C₂²⋊C₄	—	2	1	no	—
645	C₅×C₂²⋊C₄	—	2	1	no	—
646	C₅×C₂²⋊C₄	—	2	1	no	—
647	C₅×C₂²⋊C₄	—	2	1	no	—
648	C₅×C₂²⋊C₄	—	2	1	no	—
649	C₅×C₂²⋊C₄	—	2	1	no	—
650	C₅×C₂²⋊C₄	—	2	1	no	—
651	C₄²×C₅	—	2	1	no	—
652	C₄²×C₅	—	2	1	no	—
653	C₄²×C₅	C₂⁴	1	1	yes	characteristic
654	C₄²×C₅	C₂⁴	1	1	yes	characteristic
655	C₄²×C₅	C₂⁴	1	1	yes	characteristic
656	C₂²⋊Dic₅	—	2	1	no	—
657	C₂²⋊Dic₅	—	2	1	no	—
658	C₂²⋊Dic₅	—	2	1	no	—
659	C₂²⋊Dic₅	—	2	1	no	—
660	C₂²⋊Dic₅	—	2	1	no	—
661	C₂²⋊Dic₅	—	2	1	no	—
662	C₂²⋊Dic₅	—	2	1	no	—
663	C₂²⋊Dic₅	—	2	1	no	—
664	#688	—	2	2	no	—
665	#688	—	4	1	no	—
666	#688	—	4	1	no	—
667	#688	—	4	1	no	—
668	#686	—	2	2	no	—
669	#686	—	2	2	no	—
670	#686	—	4	1	no	—
671	#686	—	4	1	no	—
672	#686	—	4	1	no	—
673	#686	—	4	1	no	—
674	#686	—	4	1	no	—
675	#686	—	4	1	no	—
676	#685	—	2	1	no	—
677	#685	—	2	1	no	—
678	#685	—	2	1	no	—
679	#685	—	2	1	no	—
680	#685	—	2	1	no	—
681	#685	—	2	1	no	—
682	#685	—	2	1	no	—
683	#685	—	2	1	no	—
684	#685	—	2	1	no	—
685	#685	—	2	1	no	—
686	#685	—	2	1	no	—
687	#685	—	2	1	no	—
688	#685	—	2	1	no	—
689	#685	—	2	1	no	—
690	#685	—	2	1	no	—
691	#685	—	2	1	no	—
692	#685	C₂×D₄	1	1	yes	characteristic
693	#685	C₂×D₄	1	1	yes	characteristic
694	#685	C₂×D₄	1	1	yes	characteristic
695	#685	C₂×D₄	1	1	yes	characteristic
696	#685	C₂×D₄	1	1	yes	characteristic
697	#685	C₂×D₄	1	1	yes	characteristic
698	#685	C₂×D₄	1	1	yes	characteristic
699	#685	C₂×D₄	1	1	yes	characteristic
700	#685	C₂×D₄	1	1	yes	characteristic
701	#685	C₂×D₄	1	1	yes	characteristic
702	C₄⋊Dic₅	—	2	1	no	—
703	C₄⋊Dic₅	—	2	1	no	—
704	C₄⋊Dic₅	—	2	1	no	—
705	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
706	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
707	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
708	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
709	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
710	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
711	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
712	#683	—	2	1	no	—
713	#683	—	2	1	no	—
714	#683	—	2	1	no	—
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	C₂×D₄	1	1	yes	characteristic
723	#683	C₂×D₄	1	1	yes	characteristic
724	#683	C₂×D₄	1	1	yes	characteristic
725	#683	C₂×D₄	1	1	yes	characteristic
726	C₄×Dic₅	—	2	1	no	—
727	C₄×Dic₅	—	2	1	no	—
728	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
729	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
730	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
731	C₂×#168	C₂⁴	1	1	yes	characteristic
732	C₂×#168	C₂⁴	1	1	yes	characteristic
733	C₂×#168	C₂⁴	1	1	yes	characteristic
734	C₂×#168	C₂⁴	1	1	yes	characteristic
735	D₄₀	—	2	2	no	—
736	D₄₀	—	2	2	no	—
737	D₄₀	—	2	2	no	—
738	#676	—	4	1	no	—
739	#676	—	4	1	no	—
740	C₈×D₅	—	4	1	no	—
741	C₈×D₅	—	4	1	no	—
742	C₈×D₅	—	4	1	no	—
743	C₈×D₅	—	4	1	no	—
744	C₂×AGL(1,ℤ/8)	—	5	1	no	—
745	C₂×AGL(1,ℤ/8)	—	5	1	no	—
746	C₂×#135	—	5	1	no	—
747	C₂²×D₈	—	5	1	no	—
748	C₂²×D₈	—	5	1	no	—
749	C₂²×D₈	—	5	1	no	—
750	#560	—	10	1	no	—
751	#560	—	10	1	no	—
752	#559	C₂×D₅	1	1	yes	characteristic, complemented
753	#559	C₂×D₅	1	1	yes	characteristic, complemented
754	#554	—	5	1	no	—
755	#553	—	5	1	no	—
756	#553	—	10	1	no	—
757	#552	—	5	1	no	—
758	#551	—	10	1	no	—
759	#551	—	10	1	no	—
760	#550	—	5	1	no	—
761	#550	—	5	1	no	—
762	#547	—	5	1	no	—
763	#546	—	5	1	no	—
764	#546	—	5	1	no	—
765	#546	—	5	1	no	—
766	#546	—	5	1	no	—
767	#546	—	10	1	no	—
768	#546	—	10	1	no	—
769	D₄²	—	5	1	no	—
770	D₄²	—	5	1	no	—
771	D₄²	—	5	1	no	—
772	D₄²	—	5	1	no	—
773	D₄²	—	10	1	no	—
774	#542	—	5	1	no	—
775	#540	—	5	1	no	—
776	#540	—	5	1	no	—
777	#540	—	5	1	no	—
778	#540	—	10	1	no	—
779	#539	—	10	1	no	—
780	#538	—	10	1	no	—
781	#535	—	5	1	no	—
782	#535	—	5	1	no	—
783	#535	—	10	1	no	—
784	#534	—	10	1	no	—
785	#534	—	10	1	no	—
786	C₂×#127	—	5	1	no	—
787	#529	—	5	1	no	—
788	#529	—	5	1	no	—
789	#529	—	5	1	no	—
790	#525	—	10	1	no	—
791	C₂×#123	—	10	1	no	—
792	#520	—	5	1	no	—
793	#518	—	5	1	no	—
794	C₂×C₄×D₄	—	5	1	no	—
795	#496	—	5	1	no	—
796	#496	—	5	1	no	—
797	#496	C₂×D₅	1	1	yes	characteristic, complemented
798	#496	C₂×D₅	1	1	yes	characteristic, complemented
799	#495	C₂×D₅	1	1	yes	characteristic, complemented
800	#493	—	5	1	no	—
801	#490	—	5	1	no	—
802	#490	—	5	1	no	—
803	#490	—	5	1	no	—
804	#489	—	5	1	no	—
805	#488	—	5	1	no	—
806	#486	—	5	1	no	—
807	#483	—	5	1	no	—
808	#482	—	5	1	no	—
809	#482	—	5	1	no	—
810	#481	—	5	1	no	—
811	#480	—	5	1	no	—
812	#480	—	5	1	no	—
813	#479	—	5	1	no	—
814	#479	—	5	1	no	—
815	#478	—	5	1	no	—
816	#478	—	5	1	no	—
817	#478	—	5	1	no	—
818	#478	—	5	1	no	—
819	#478	—	5	1	no	—
820	#478	—	5	1	no	—
821	#476	—	5	1	no	—
822	#474	—	5	1	no	—
823	#469	—	5	1	no	—
824	#469	—	5	1	no	—
825	#469	—	5	1	no	—
826	#468	—	5	1	no	—
827	#467	—	5	1	no	—
828	#466	—	5	1	no	—
829	#466	—	5	1	no	—
830	#466	—	5	1	no	—
831	#466	—	5	1	no	—
832	#465	—	5	1	no	—
833	#465	—	5	1	no	—
834	#465	—	5	1	no	—
835	#464	—	5	1	no	—
836	#464	C₂×D₅	1	1	yes	characteristic, complemented
837	#464	C₂×D₅	1	1	yes	characteristic, complemented
838	#463	—	5	1	no	—
839	#463	—	5	1	no	—
840	#463	—	5	1	no	—
841	#463	—	5	1	no	—
842	#463	—	5	1	no	—
843	#463	—	5	1	no	—
844	#463	—	5	1	no	—
845	#463	C₂×D₅	1	1	yes	characteristic, complemented
846	#463	C₂×D₅	1	1	yes	characteristic, complemented
847	#460	—	5	1	no	—
848	#460	—	5	1	no	—
849	#460	—	5	1	no	—
850	#459	—	5	1	no	—
851	#459	—	5	1	no	—
852	#459	—	5	1	no	—
853	#459	—	5	1	no	—
854	#459	—	5	1	no	—
855	#459	—	5	1	no	—
856	#459	—	5	1	no	—
857	#459	—	5	1	no	—
858	#459	—	5	1	no	—
859	#459	—	5	1	no	—
860	#459	—	5	1	no	—
861	#459	—	5	1	no	—
862	#459	—	5	1	no	—
863	#459	C₂×D₅	1	1	yes	characteristic, complemented
864	#459	C₂×D₅	1	1	yes	characteristic, complemented
865	#452	—	5	1	no	—
866	#450	—	5	1	no	—
867	#450	—	5	1	no	—
868	#450	—	5	1	no	—
869	#450	—	5	1	no	—
870	#449	—	5	1	no	—
871	#449	—	5	1	no	—
872	#449	—	5	1	no	—
873	#449	—	5	1	no	—
874	#449	—	5	1	no	—
875	#447	—	5	1	no	—
876	#447	—	5	1	no	—
877	#447	—	5	1	no	—
878	#447	—	5	1	no	—
879	#447	—	5	1	no	—
880	#447	—	5	1	no	—
881	#447	—	5	1	no	—
882	#447	—	5	1	no	—
883	#446	—	5	1	no	—
884	#446	C₂×D₅	1	1	yes	characteristic, complemented
885	#442	—	5	1	no	—
886	#442	—	5	1	no	—
887	#442	—	5	1	no	—
888	#442	—	5	1	no	—
889	#442	—	5	1	no	—
890	#440	—	5	1	no	—
891	#440	C₂×D₅	1	1	yes	characteristic, complemented
892	#440	C₂×D₅	1	1	yes	characteristic, complemented
893	C₄×SD₁₆	—	5	1	no	—
894	C₄×D₈	—	5	1	no	—
895	C₄×D₈	—	5	1	no	—
896	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
897	#435	—	5	1	no	—
898	#435	—	5	1	no	—
899	#435	—	5	1	no	—
900	#435	—	5	1	no	—
901	C₈×D₄	—	5	1	no	—
902	C₈×D₄	—	5	1	no	—
903	#433	—	5	1	no	—
904	#433	—	5	1	no	—
905	#432	—	5	1	no	—
906	#424	—	5	1	no	—
907	#424	—	5	1	no	—
908	C₂×C₄⋊C₈	—	5	1	no	—
909	#418	—	5	1	no	—
910	#417	—	5	1	no	—
911	#416	—	5	1	no	—
912	C₂×#102	—	5	1	no	—
913	C₂×#102	—	5	1	no	—
914	C₂×#102	—	5	1	no	—
915	C₂³×C₅	—	2	1	no	—
916	C₂³×C₅	—	2	1	no	—
917	C₂³×C₅	—	2	1	no	—
918	C₂³×C₅	—	2	1	no	—
919	C₂²×D₅	—	2	1	no	—
920	C₂²×D₅	—	2	1	no	—
921	C₂²×D₅	—	2	1	no	—
922	C₂²×D₅	—	2	1	no	—
923	C₂²×D₅	—	4	2	no	—
924	C₂²×D₅	—	4	2	no	—
925	C₂²×D₅	—	4	2	no	—
926	C₂²×D₅	—	4	2	no	—
927	C₂²×D₅	—	4	2	no	—
928	C₂²×D₅	—	8	1	no	—
929	C₂²×D₅	—	8	1	no	—
930	C₂²×D₅	—	8	1	no	—
931	C₂²×D₅	—	8	1	no	—
932	C₂²×D₅	—	8	1	no	—
933	C₂²×D₅	—	8	1	no	—
934	C₂²×D₅	—	8	1	no	—
935	C₂²×D₅	—	8	1	no	—
936	C₂²×D₅	—	8	1	no	—
937	C₂²×D₅	—	8	1	no	—
938	C₂²×D₅	—	8	1	no	—
939	C₂²×D₅	—	8	1	no	—
940	C₂²×D₅	—	8	1	no	—
941	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
942	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
943	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
944	C₅×Q₈	—	2	1	no	—
945	C₅×Q₈	—	2	1	no	—
946	C₅×Q₈	—	2	1	no	—
947	C₅×Q₈	—	2	1	no	—
948	C₅×Q₈	—	4	1	no	—
949	C₅×D₄	—	2	1	no	—
950	C₅×D₄	—	2	1	no	—
951	C₅×D₄	—	2	1	no	—
952	C₅×D₄	—	2	1	no	—
953	C₅×D₄	—	2	1	no	—
954	C₅×D₄	—	2	1	no	—
955	C₅×D₄	—	2	1	no	—
956	C₅×D₄	—	2	1	no	—
957	C₅×D₄	—	4	2	no	—
958	C₅×D₄	—	8	1	no	—
959	C₅×D₄	—	8	1	no	—
960	C₅×D₄	—	8	1	no	—
961	C₂×C₄×C₅	—	2	1	no	—
962	C₂×C₄×C₅	—	2	1	no	—
963	C₂×C₄×C₅	—	2	1	no	—
964	C₂×C₄×C₅	—	2	1	no	—
965	C₂×C₄×C₅	—	8	1	no	—
966	C₂×C₄×C₅	—	8	1	no	—
967	C₂×C₄×C₅	—	8	1	no	—
968	C₂×C₄×C₅	—	8	1	no	—
969	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
970	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
971	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
972	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
974	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
975	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
976	C₂²⋊D₅	—	4	2	no	—
977	C₂²⋊D₅	—	4	2	no	—
978	C₂²⋊D₅	—	4	2	no	—
979	C₂²⋊D₅	—	8	1	no	—
980	C₂²⋊D₅	—	8	1	no	—
981	C₂²⋊D₅	—	8	1	no	—
982	C₂²⋊D₅	—	8	1	no	—
983	C₂²⋊D₅	—	8	1	no	—
984	C₂²⋊D₅	—	8	1	no	—
985	C₂²⋊D₅	—	8	1	no	—
986	C₂²⋊D₅	—	8	1	no	—
987	C₂²⋊D₅	—	8	1	no	—
988	C₂²⋊D₅	—	8	1	no	—
989	C₂²⋊D₅	—	8	1	no	—
990	C₂²⋊D₅	—	8	1	no	—
991	C₂²⋊D₅	—	8	1	no	—
992	C₂×Dic₅	—	2	1	no	—
993	C₂×Dic₅	—	2	1	no	—
994	C₂×Dic₅	—	2	1	no	—
995	C₂×Dic₅	—	2	1	no	—
996	C₂×Dic₅	—	8	1	no	—
997	C₂×Dic₅	—	8	1	no	—
998	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
999	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1000	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1001	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1002	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1003	D₂₀	—	2	2	no	—
1004	D₂₀	—	2	2	no	—
1005	D₂₀	—	2	1	no	—
1006	D₂₀	—	2	1	no	—
1007	D₂₀	—	2	1	no	—
1008	D₂₀	—	2	1	no	—
1009	D₂₀	—	2	1	no	—
1010	D₂₀	—	2	1	no	—
1011	D₂₀	—	2	1	no	—
1012	D₂₀	—	4	1	no	—
1013	D₂₀	—	4	2	no	—
1014	D₂₀	—	4	2	no	—
1015	D₂₀	—	4	2	no	—
1016	D₂₀	—	8	1	no	—
1017	D₂₀	—	8	1	no	—
1018	D₂₀	—	8	1	no	—
1019	D₂₀	—	8	1	no	—
1020	D₂₀	—	8	1	no	—
1021	D₂₀	—	8	1	no	—
1022	D₂₀	—	8	1	no	—
1023	D₂₀	—	8	1	no	—
1024	D₂₀	—	8	1	no	—
1025	D₂₀	H(5,𝔽₂)	1	2	yes	—
1026	C₄×D₅	—	2	2	no	—
1027	C₄×D₅	—	2	1	no	—
1028	C₄×D₅	—	2	1	no	—
1029	C₄×D₅	—	2	1	no	—
1030	C₄×D₅	—	2	1	no	—
1031	C₄×D₅	—	2	1	no	—
1032	C₄×D₅	—	2	1	no	—
1033	C₄×D₅	—	4	1	no	—
1034	C₄×D₅	—	4	2	no	—
1035	C₄×D₅	—	4	2	no	—
1036	C₄×D₅	—	4	2	no	—
1037	C₄×D₅	—	8	1	no	—
1038	C₄×D₅	—	8	1	no	—
1039	C₄×D₅	—	8	1	no	—
1040	C₄×D₅	—	8	1	no	—
1041	C₄×D₅	—	8	1	no	—
1042	C₄×D₅	—	8	1	no	—
1043	C₄×D₅	—	8	1	no	—
1044	C₄×D₅	—	8	1	no	—
1045	C₄×D₅	—	8	1	no	—
1046	Dic₁₀	—	8	1	no	—
1047	C₅×C₈	—	2	1	no	—
1048	C₅×C₈	—	2	1	no	—
1049	C₅×C₈	—	2	1	no	—
1050	C₅×C₈	—	2	1	no	—
1051	#168	—	2	1	no	—
1052	#168	—	2	1	no	—
1053	#168	—	2	1	no	—
1054	#168	—	2	1	no	—
1055	C₂×#41	—	5	1	no	—
1056	C₂×#41	—	5	1	no	—
1057	C₂×#41	—	5	1	no	—
1058	C₂×#41	—	10	1	no	—
1059	C₂×#41	—	10	1	no	—
1060	C₂²×D₄	—	5	1	no	—
1061	C₂²×D₄	—	5	1	no	—
1062	C₂²×D₄	—	5	1	no	—
1063	C₂²×D₄	—	5	1	no	—
1064	C₂²×D₄	—	5	1	no	—
1065	C₂²×D₄	—	5	1	no	—
1066	C₂²×D₄	—	10	1	no	—
1067	C₂²×D₄	—	10	1	no	—
1068	C₂²×D₄	—	10	1	no	—
1069	C₂²×D₄	—	10	1	no	—
1070	C₂²×D₄	—	10	1	no	—
1071	C₂²×D₄	—	10	1	no	—
1072	C₂³×C₄	—	10	1	no	—
1073	AGL(1,ℤ/8)	—	20	2	no	—
1074	AGL(1,ℤ/8)	—	20	2	no	—
1075	#135	—	20	2	no	—
1076	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1077	C₂×SD₁₆	—	5	1	no	—
1078	C₂×SD₁₆	—	5	1	no	—
1079	C₂×SD₁₆	—	5	1	no	—
1080	C₂×SD₁₆	—	5	1	no	—
1081	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1082	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1083	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1084	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1085	C₂×D₈	—	5	1	no	—
1086	C₂×D₈	—	5	1	no	—
1087	C₂×D₈	—	5	1	no	—
1088	C₂×D₈	—	5	1	no	—
1089	C₂×D₈	—	5	1	no	—
1090	C₂×D₈	—	5	1	no	—
1091	C₂×D₈	—	5	1	no	—
1092	C₂×D₈	—	5	1	no	—
1093	C₂×D₈	—	5	1	no	—
1094	C₂×D₈	—	5	1	no	—
1095	C₂×D₈	—	5	1	no	—
1096	C₂×D₈	—	20	2	no	—
1097	C₂×D₈	—	20	2	no	—
1098	C₂×D₈	—	20	2	no	—
1099	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1100	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1101	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1102	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1103	C₂×M₁₆	—	5	1	no	—
1104	C₂×M₁₆	—	5	1	no	—
1105	C₂²×C₈	—	5	1	no	—
1106	C₂²×C₈	—	5	1	no	—
1107	C₂²×C₈	—	5	1	no	—
1108	C₂²×C₈	—	5	1	no	—
1109	C₄⋊Q₈	—	5	1	no	—
1110	#127	—	5	1	no	—
1111	#127	—	5	1	no	—
1112	#127	—	5	1	no	—
1113	#127	—	5	1	no	—
1114	#127	—	5	1	no	—
1115	#127	—	10	1	no	—
1116	#127	—	10	1	no	—
1117	#127	—	10	1	no	—
1118	#127	C₂²×D₅	1	1	yes	characteristic
1119	#127	C₂²×D₅	1	1	yes	characteristic
1120	#126	—	5	1	no	—
1121	#126	—	5	1	no	—
1122	#126	—	10	1	no	—
1123	#126	—	10	1	no	—
1124	#126	—	10	1	no	—
1125	#126	—	10	1	no	—
1126	#126	—	10	1	no	—
1127	#125	—	5	1	no	—
1128	#125	—	5	1	no	—
1129	#125	—	5	1	no	—
1130	#125	—	5	1	no	—
1131	#125	—	10	1	no	—
1132	#124	—	2	1	no	—
1133	#124	—	2	1	no	—
1134	#124	—	5	1	no	—
1135	#124	—	5	1	no	—
1136	#124	—	10	1	no	—
1137	#124	C₂²×D₅	1	1	yes	characteristic
1138	#124	C₂²×D₅	1	1	yes	characteristic
1139	#124	C₂²×D₅	1	1	yes	characteristic
1140	#124	C₂²×D₅	1	1	yes	characteristic
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	5	1	no	—
1146	#123	—	5	1	no	—
1147	#123	—	10	1	no	—
1148	#123	—	10	1	no	—
1149	#123	—	10	1	no	—
1150	#123	—	10	1	no	—
1151	#123	—	10	1	no	—
1152	#123	—	10	1	no	—
1153	#123	—	10	1	no	—
1154	#123	—	10	1	no	—
1155	#123	—	10	1	no	—
1156	#123	—	10	1	no	—
1157	#123	—	10	1	no	—
1158	#123	—	10	1	no	—
1159	#123	—	10	1	no	—
1160	#123	—	10	1	no	—
1161	#123	—	10	1	no	—
1162	#123	—	10	1	no	—
1163	#123	—	10	1	no	—
1164	C₂²⋊Q₈	—	5	1	no	—
1165	C₂²⋊Q₈	—	5	1	no	—
1166	C₂²⋊Q₈	—	5	1	no	—
1167	C₂²⋊Q₈	—	5	1	no	—
1168	C₂²⋊Q₈	—	10	1	no	—
1169	C₂²⋊Q₈	—	10	1	no	—
1170	C₂²⋊Q₈	—	10	1	no	—
1171	C₂²⋊Q₈	—	10	1	no	—
1172	C₂²⋊Q₈	—	10	1	no	—
1173	#121	—	5	1	no	—
1174	#121	—	5	1	no	—
1175	#121	—	5	1	no	—
1176	#121	—	5	1	no	—
1177	#121	—	5	1	no	—
1178	#121	—	5	1	no	—
1179	#121	—	5	1	no	—
1180	#121	—	5	1	no	—
1181	#121	—	5	1	no	—
1182	#121	—	5	1	no	—
1183	#121	—	10	1	no	—
1184	#121	—	10	1	no	—
1185	#121	—	10	1	no	—
1186	#121	—	10	1	no	—
1187	#121	—	10	1	no	—
1188	#121	—	10	1	no	—
1189	#121	—	10	1	no	—
1190	#121	—	10	1	no	—
1191	#121	—	10	1	no	—
1192	#121	—	10	1	no	—
1193	#121	—	10	1	no	—
1194	#121	—	10	1	no	—
1195	#121	—	10	1	no	—
1196	#121	—	10	1	no	—
1197	#121	—	10	1	no	—
1198	#121	—	10	1	no	—
1199	#121	—	10	1	no	—
1200	#121	—	10	1	no	—
1201	#121	—	10	1	no	—
1202	#121	—	10	1	no	—
1203	#121	—	10	1	no	—
1204	#121	—	10	1	no	—
1205	#121	—	10	1	no	—
1206	#121	—	10	1	no	—
1207	#120	—	10	1	no	—
1208	#120	—	10	1	no	—
1209	#120	—	10	1	no	—
1210	#120	—	10	1	no	—
1211	#120	—	10	1	no	—
1212	#120	—	10	1	no	—
1213	#120	—	10	1	no	—
1214	#120	—	10	1	no	—
1215	#120	—	10	1	no	—
1216	#120	—	10	1	no	—
1217	#120	—	10	1	no	—
1218	#120	—	10	1	no	—
1219	#120	—	10	1	no	—
1220	#120	—	10	1	no	—
1221	#120	—	10	1	no	—
1222	#120	—	10	1	no	—
1223	C₄×Q₈	—	5	1	no	—
1224	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1225	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1226	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	5	1	no	—
1230	C₄×D₄	—	5	1	no	—
1231	C₄×D₄	—	5	1	no	—
1232	C₄×D₄	—	5	1	no	—
1233	C₄×D₄	—	5	1	no	—
1234	C₄×D₄	—	5	1	no	—
1235	C₄×D₄	—	5	1	no	—
1236	C₄×D₄	—	5	1	no	—
1237	C₄×D₄	—	5	1	no	—
1238	C₄×D₄	—	5	1	no	—
1239	C₄×D₄	—	5	1	no	—
1240	C₄×D₄	—	5	1	no	—
1241	C₄×D₄	—	10	1	no	—
1242	C₄×D₄	—	10	1	no	—
1243	C₄×D₄	—	10	1	no	—
1244	C₄×D₄	—	10	1	no	—
1245	C₄×D₄	—	10	1	no	—
1246	C₄×D₄	—	10	1	no	—
1247	C₄×D₄	—	10	1	no	—
1248	C₄×D₄	—	10	1	no	—
1249	C₄×D₄	—	10	1	no	—
1250	C₄×D₄	—	10	1	no	—
1251	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1252	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1253	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1254	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1255	#117	—	5	1	no	—
1256	#117	—	5	1	no	—
1257	#117	—	5	1	no	—
1258	#117	—	10	1	no	—
1259	#117	—	10	1	no	—
1260	#117	—	10	1	no	—
1261	#117	—	10	1	no	—
1262	C₂×C₄⋊C₄	—	5	1	no	—
1263	C₂×C₄⋊C₄	—	5	1	no	—
1264	C₂×C₄⋊C₄	—	10	1	no	—
1265	C₂×C₄⋊C₄	—	10	1	no	—
1266	C₂×C₂²⋊C₄	—	10	1	no	—
1267	C₂×C₂²⋊C₄	—	10	1	no	—
1268	C₂×C₂²⋊C₄	—	10	1	no	—
1269	C₂×C₂²⋊C₄	—	10	1	no	—
1270	C₂×C₂²⋊C₄	—	10	1	no	—
1271	C₂×C₂²⋊C₄	—	10	1	no	—
1272	C₂×C₂²⋊C₄	—	10	1	no	—
1273	C₂×C₄²	—	5	1	no	—
1274	#107	—	5	1	no	—
1275	#107	—	5	1	no	—
1276	#107	—	5	1	no	—
1277	#107	C₂²×D₅	1	1	yes	characteristic
1278	#106	—	5	1	no	—
1279	#106	—	5	1	no	—
1280	#106	—	5	1	no	—
1281	#106	—	5	1	no	—
1282	C₄⋊C₈	—	5	1	no	—
1283	C₄⋊C₈	—	5	1	no	—
1284	C₄⋊C₈	—	5	1	no	—
1285	C₄⋊C₈	—	5	1	no	—
1286	C₄⋊C₈	—	5	1	no	—
1287	C₄⋊C₈	—	5	1	no	—
1288	C₄⋊C₈	—	5	1	no	—
1289	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1290	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1291	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1292	#103	—	5	1	no	—
1293	#103	—	5	1	no	—
1294	#103	—	5	1	no	—
1295	#103	—	5	1	no	—
1296	#103	C₂²×D₅	1	1	yes	characteristic
1297	#103	C₂²×D₅	1	1	yes	characteristic
1298	#102	—	5	1	no	—
1299	#102	—	5	1	no	—
1300	#102	—	5	1	no	—
1301	#102	—	5	1	no	—
1302	#102	—	5	1	no	—
1303	#102	—	5	1	no	—
1304	#102	—	5	1	no	—
1305	#102	—	5	1	no	—
1306	#102	—	5	1	no	—
1307	#102	—	5	1	no	—
1308	#102	—	5	1	no	—
1309	#102	—	5	1	no	—
1310	#102	—	5	1	no	—
1311	#102	—	5	1	no	—
1312	#102	—	5	1	no	—
1313	#102	—	5	1	no	—
1314	#102	—	5	1	no	—
1315	#102	—	5	1	no	—
1316	#102	—	5	1	no	—
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	C₂²×D₅	1	1	yes	characteristic
1321	#102	C₂²×D₅	1	1	yes	characteristic
1322	#102	C₂²×D₅	1	1	yes	characteristic
1323	#102	C₂²×D₅	1	1	yes	characteristic
1324	C₂²⋊C₈	—	5	1	no	—
1325	C₂²⋊C₈	—	5	1	no	—
1326	C₂²⋊C₈	—	5	1	no	—
1327	C₂²⋊C₈	—	5	1	no	—
1328	C₂²⋊C₈	—	5	1	no	—
1329	C₂²⋊C₈	—	5	1	no	—
1330	#97	—	5	1	no	—
1331	#97	—	5	1	no	—
1332	#97	C₂²×D₅	1	1	yes	characteristic
1333	#97	C₂²×D₅	1	1	yes	characteristic
1334	C₄×C₈	—	5	1	no	—
1335	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1336	C₂²×C₅	—	4	1	no	—
1337	C₂²×C₅	—	4	1	no	—
1338	C₂²×C₅	—	4	1	no	—
1339	C₂²×C₅	—	4	1	no	—
1340	C₂²×C₅	—	4	1	no	—
1341	C₂²×C₅	—	4	1	no	—
1342	C₂²×C₅	—	4	1	no	—
1343	C₂²×C₅	—	4	1	no	—
1344	C₂²×C₅	—	4	1	no	—
1345	C₂²×C₅	—	4	1	no	—
1346	C₂²×C₅	—	4	1	no	—
1347	C₂²×C₅	—	4	1	no	—
1348	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1349	C₂×D₅	—	2	1	no	—
1350	C₂×D₅	—	2	1	no	—
1351	C₂×D₅	—	2	1	no	—
1352	C₂×D₅	—	2	1	no	—
1353	C₂×D₅	—	2	1	no	—
1354	C₂×D₅	—	2	1	no	—
1355	C₂×D₅	—	2	2	no	—
1356	C₂×D₅	—	2	1	no	—
1357	C₂×D₅	—	2	1	no	—
1358	C₂×D₅	—	4	1	no	—
1359	C₂×D₅	—	4	1	no	—
1360	C₂×D₅	—	4	1	no	—
1361	C₂×D₅	—	4	1	no	—
1362	C₂×D₅	—	4	1	no	—
1363	C₂×D₅	—	4	1	no	—
1364	C₂×D₅	—	4	1	no	—
1365	C₂×D₅	—	4	1	no	—
1366	C₂×D₅	—	4	1	no	—
1367	C₂×D₅	—	4	1	no	—
1368	C₂×D₅	—	4	1	no	—
1369	C₂×D₅	—	8	4	no	—
1370	C₂×D₅	—	16	2	no	—
1371	C₂×D₅	—	16	2	no	—
1372	C₂×D₅	—	16	2	no	—
1373	C₂×D₅	—	16	2	no	—
1374	C₂×D₅	—	16	2	no	—
1375	C₂×D₅	#576	1	2	yes	—
1376	C₄×C₅	—	2	1	no	—
1377	C₄×C₅	—	2	1	no	—
1378	C₄×C₅	—	2	1	no	—
1379	C₄×C₅	—	2	1	no	—
1380	C₄×C₅	—	2	1	no	—
1381	C₄×C₅	—	2	1	no	—
1382	C₄×C₅	—	4	1	no	—
1383	C₄×C₅	—	4	1	no	—
1384	C₄×C₅	—	4	1	no	—
1385	C₄×C₅	—	4	1	no	—
1386	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1387	C₄×C₅	#585	1	1	yes	characteristic
1388	Dic₅	—	2	1	no	—
1389	Dic₅	—	2	1	no	—
1390	Dic₅	—	2	1	no	—
1391	Dic₅	—	2	1	no	—
1392	Dic₅	—	2	1	no	—
1393	Dic₅	—	4	1	no	—
1394	Dic₅	—	4	1	no	—
1395	Dic₅	—	4	1	no	—
1396	Dic₅	—	4	1	no	—
1397	C₂⁴	—	10	1	no	—
1398	C₂⁴	—	10	1	no	—
1399	C₂⁴	—	10	1	no	—
1400	C₂⁴	—	10	1	no	—
1401	C₂⁴	—	10	1	no	—
1402	C₂⁴	—	10	1	no	—
1403	#41	—	10	2	no	—
1404	#41	—	20	1	no	—
1405	#41	—	20	1	no	—
1406	#41	—	20	1	no	—
1407	#41	—	20	1	no	—
1408	#41	—	20	1	no	—
1409	#41	—	40	2	no	—
1410	#41	—	40	2	no	—
1411	C₂×Q₈	—	10	1	no	—
1412	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1413	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1414	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	5	1	no	—
1420	C₂×D₄	—	5	1	no	—
1421	C₂×D₄	—	5	1	no	—
1422	C₂×D₄	—	5	1	no	—
1423	C₂×D₄	—	5	1	no	—
1424	C₂×D₄	—	5	1	no	—
1425	C₂×D₄	—	5	1	no	—
1426	C₂×D₄	—	10	1	no	—
1427	C₂×D₄	—	10	1	no	—
1428	C₂×D₄	—	10	1	no	—
1429	C₂×D₄	—	10	1	no	—
1430	C₂×D₄	—	10	1	no	—
1431	C₂×D₄	—	10	1	no	—
1432	C₂×D₄	—	10	1	no	—
1433	C₂×D₄	—	10	1	no	—
1434	C₂×D₄	—	10	1	no	—
1435	C₂×D₄	—	10	1	no	—
1436	C₂×D₄	—	10	1	no	—
1437	C₂×D₄	—	10	1	no	—
1438	C₂×D₄	—	10	1	no	—
1439	C₂×D₄	—	10	1	no	—
1440	C₂×D₄	—	10	1	no	—
1441	C₂×D₄	—	10	1	no	—
1442	C₂×D₄	—	10	2	no	—
1443	C₂×D₄	—	10	2	no	—
1444	C₂×D₄	—	10	1	no	—
1445	C₂×D₄	—	10	1	no	—
1446	C₂×D₄	—	10	1	no	—
1447	C₂×D₄	—	10	1	no	—
1448	C₂×D₄	—	10	1	no	—
1449	C₂×D₄	—	10	1	no	—
1450	C₂×D₄	—	10	1	no	—
1451	C₂×D₄	—	10	1	no	—
1452	C₂×D₄	—	10	1	no	—
1453	C₂×D₄	—	10	1	no	—
1454	C₂×D₄	—	10	1	no	—
1455	C₂×D₄	—	10	1	no	—
1456	C₂×D₄	—	20	1	no	—
1457	C₂×D₄	—	20	1	no	—
1458	C₂×D₄	—	20	1	no	—
1459	C₂×D₄	—	20	1	no	—
1460	C₂×D₄	—	20	1	no	—
1461	C₂×D₄	—	20	1	no	—
1462	C₂×D₄	—	20	1	no	—
1463	C₂×D₄	—	20	1	no	—
1464	C₂×D₄	—	20	1	no	—
1465	C₂×D₄	—	20	1	no	—
1466	C₂×D₄	—	40	2	no	—
1467	C₂×D₄	—	40	2	no	—
1468	C₂×D₄	—	40	2	no	—
1469	C₂×D₄	—	40	2	no	—
1470	C₂×D₄	—	40	2	no	—
1471	C₂×D₄	—	40	2	no	—
1472	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1473	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1474	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1475	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1476	C₂²×C₄	—	2	1	no	—
1477	C₂²×C₄	—	2	1	no	—
1478	C₂²×C₄	—	2	1	no	—
1479	C₂²×C₄	—	2	1	no	—
1480	C₂²×C₄	—	5	1	no	—
1481	C₂²×C₄	—	5	1	no	—
1482	C₂²×C₄	—	5	1	no	—
1483	C₂²×C₄	—	5	1	no	—
1484	C₂²×C₄	—	5	1	no	—
1485	C₂²×C₄	—	10	1	no	—
1486	C₂²×C₄	—	10	1	no	—
1487	C₂²×C₄	—	10	1	no	—
1488	C₂²×C₄	—	10	1	no	—
1489	C₂²×C₄	—	10	1	no	—
1490	C₂²×C₄	—	10	1	no	—
1491	C₂²×C₄	—	10	1	no	—
1492	C₂²×C₄	—	10	1	no	—
1493	C₂²×C₄	—	10	1	no	—
1494	C₂²×C₄	—	10	1	no	—
1495	C₂²×C₄	—	10	1	no	—
1496	C₂²×C₄	—	10	1	no	—
1497	C₂²×C₄	—	10	1	no	—
1498	C₂²×C₄	—	10	1	no	—
1499	C₂²×C₄	—	40	2	no	—
1500	Q₁₆	—	4	1	no	—
1501	SD₁₆	—	4	1	no	—
1502	SD₁₆	—	4	1	no	—
1503	SD₁₆	—	4	1	no	—
1504	SD₁₆	—	4	1	no	—
1505	SD₁₆	—	10	2	no	—
1506	SD₁₆	—	20	1	no	—
1507	SD₁₆	—	20	1	no	—
1508	SD₁₆	—	20	1	no	—
1509	D₈	—	4	1	no	—
1510	D₈	—	4	1	no	—
1511	D₈	—	4	1	no	—
1512	D₈	—	4	1	no	—
1513	D₈	—	10	2	no	—
1514	D₈	—	10	2	no	—
1515	D₈	—	10	2	no	—
1516	D₈	—	10	2	no	—
1517	D₈	—	10	2	no	—
1518	D₈	—	20	1	no	—
1519	D₈	—	20	1	no	—
1520	D₈	—	20	1	no	—
1521	D₈	—	20	1	no	—
1522	D₈	—	20	1	no	—
1523	D₈	—	20	1	no	—
1524	M₁₆	—	20	1	no	—
1525	M₁₆	—	20	1	no	—
1526	C₂×C₈	—	5	1	no	—
1527	C₂×C₈	—	5	1	no	—
1528	C₂×C₈	—	5	1	no	—
1529	C₂×C₈	—	5	1	no	—
1530	C₂×C₈	—	20	1	no	—
1531	C₂×C₈	—	20	1	no	—
1532	C₂×C₈	—	20	1	no	—
1533	C₂×C₈	—	20	1	no	—
1534	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1535	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1536	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1537	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	5	1	no	—
1541	C₄⋊C₄	—	5	1	no	—
1542	C₄⋊C₄	—	5	1	no	—
1543	C₄⋊C₄	—	5	1	no	—
1544	C₄⋊C₄	—	5	1	no	—
1545	C₄⋊C₄	—	5	1	no	—
1546	C₄⋊C₄	—	5	1	no	—
1547	C₄⋊C₄	—	5	1	no	—
1548	C₄⋊C₄	—	5	1	no	—
1549	C₄⋊C₄	—	5	1	no	—
1550	C₄⋊C₄	—	5	1	no	—
1551	C₄⋊C₄	—	10	1	no	—
1552	C₄⋊C₄	—	10	1	no	—
1553	C₄⋊C₄	—	10	1	no	—
1554	C₄⋊C₄	—	10	1	no	—
1555	C₄⋊C₄	—	10	1	no	—
1556	C₄⋊C₄	—	10	1	no	—
1557	C₄⋊C₄	—	10	1	no	—
1558	C₄⋊C₄	—	10	1	no	—
1559	C₄⋊C₄	—	10	1	no	—
1560	C₄⋊C₄	—	10	1	no	—
1561	C₄⋊C₄	—	10	1	no	—
1562	C₄⋊C₄	—	10	1	no	—
1563	C₄⋊C₄	—	10	1	no	—
1564	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1565	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1566	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1567	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1568	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	5	1	no	—
1582	C₂²⋊C₄	—	5	1	no	—
1583	C₂²⋊C₄	—	5	1	no	—
1584	C₂²⋊C₄	—	5	1	no	—
1585	C₂²⋊C₄	—	5	1	no	—
1586	C₂²⋊C₄	—	5	1	no	—
1587	C₂²⋊C₄	—	5	1	no	—
1588	C₂²⋊C₄	—	5	1	no	—
1589	C₂²⋊C₄	—	5	1	no	—
1590	C₂²⋊C₄	—	5	1	no	—
1591	C₂²⋊C₄	—	10	1	no	—
1592	C₂²⋊C₄	—	10	1	no	—
1593	C₂²⋊C₄	—	10	1	no	—
1594	C₂²⋊C₄	—	10	1	no	—
1595	C₂²⋊C₄	—	10	1	no	—
1596	C₂²⋊C₄	—	10	1	no	—
1597	C₂²⋊C₄	—	10	1	no	—
1598	C₂²⋊C₄	—	10	1	no	—
1599	C₂²⋊C₄	—	10	1	no	—
1600	C₂²⋊C₄	—	10	1	no	—
1601	C₂²⋊C₄	—	10	1	no	—
1602	C₂²⋊C₄	—	10	1	no	—
1603	C₂²⋊C₄	—	10	1	no	—
1604	C₂²⋊C₄	—	10	1	no	—
1605	C₂²⋊C₄	—	10	1	no	—
1606	C₂²⋊C₄	—	10	1	no	—
1607	C₂²⋊C₄	—	10	1	no	—
1608	C₂²⋊C₄	—	10	1	no	—
1609	C₂²⋊C₄	—	10	1	no	—
1610	C₂²⋊C₄	—	10	1	no	—
1611	C₂²⋊C₄	—	10	1	no	—
1612	C₂²⋊C₄	—	10	1	no	—
1613	C₂²⋊C₄	—	10	1	no	—
1614	C₂²⋊C₄	—	10	1	no	—
1615	C₄²	—	2	1	no	—
1616	C₄²	—	2	1	no	—
1617	C₄²	—	5	1	no	—
1618	C₄²	—	5	1	no	—
1619	C₄²	—	5	1	no	—
1620	C₄²	—	10	1	no	—
1621	C₄²	—	10	1	no	—
1622	C₄²	C₂³×D₅	1	1	yes	characteristic
1623	C₄²	C₂³×D₅	1	1	yes	characteristic
1624	C₄²	C₂³×D₅	1	1	yes	characteristic
1625	C₂×C₅	—	8	1	no	—
1626	C₂×C₅	—	8	1	no	—
1627	C₂×C₅	—	8	1	no	—
1628	C₂×C₅	—	8	1	no	—
1629	C₂×C₅	#3488	1	1	yes	characteristic
1630	C₂×C₅	C₂×#576	1	1	yes	characteristic
1631	C₂×C₅	#3585	1	1	yes	characteristic
1632	D₅	—	2	2	no	—
1633	D₅	—	4	1	no	—
1634	D₅	—	4	1	no	—
1635	D₅	—	4	2	no	—
1636	D₅	—	8	1	no	—
1637	D₅	—	8	1	no	—
1638	D₅	—	8	1	no	—
1639	C₂³	—	2	1	no	—
1640	C₂³	—	2	1	no	—
1641	C₂³	—	2	1	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	5	1	no	—
1644	C₂³	—	5	1	no	—
1645	C₂³	—	5	1	no	—
1646	C₂³	—	10	1	no	—
1647	C₂³	—	10	1	no	—
1648	C₂³	—	10	1	no	—
1649	C₂³	—	10	1	no	—
1650	C₂³	—	20	2	no	—
1651	C₂³	—	20	2	no	—
1652	C₂³	—	20	2	no	—
1653	C₂³	—	20	2	no	—
1654	C₂³	—	20	2	no	—
1655	C₂³	—	40	1	no	—
1656	C₂³	—	40	1	no	—
1657	C₂³	—	40	1	no	—
1658	C₂³	—	40	1	no	—
1659	C₂³	—	40	1	no	—
1660	C₂³	—	40	1	no	—
1661	C₂³	—	40	1	no	—
1662	C₂³	—	40	1	no	—
1663	C₂³	—	40	1	no	—
1664	C₂³	—	40	1	no	—
1665	C₂³	—	40	1	no	—
1666	C₂³	—	40	1	no	—
1667	C₂³	—	40	1	no	—
1668	Q₈	—	2	1	no	—
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	2	1	no	—
1672	Q₈	—	4	1	no	—
1673	Q₈	—	40	1	no	—
1674	D₄	—	2	1	no	—
1675	D₄	—	2	1	no	—
1676	D₄	—	2	1	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	4	2	no	—
1683	D₄	—	5	2	no	—
1684	D₄	—	8	1	no	—
1685	D₄	—	8	1	no	—
1686	D₄	—	8	1	no	—
1687	D₄	—	10	2	no	—
1688	D₄	—	10	2	no	—
1689	D₄	—	10	1	no	—
1690	D₄	—	10	1	no	—
1691	D₄	—	10	1	no	—
1692	D₄	—	10	1	no	—
1693	D₄	—	10	1	no	—
1694	D₄	—	10	1	no	—
1695	D₄	—	10	1	no	—
1696	D₄	—	20	1	no	—
1697	D₄	—	20	2	no	—
1698	D₄	—	20	2	no	—
1699	D₄	—	20	2	no	—
1700	D₄	—	20	2	no	—
1701	D₄	—	20	2	no	—
1702	D₄	—	20	2	no	—
1703	D₄	—	40	1	no	—
1704	D₄	—	40	1	no	—
1705	D₄	—	40	1	no	—
1706	D₄	—	40	1	no	—
1707	D₄	—	40	1	no	—
1708	D₄	—	40	1	no	—
1709	D₄	—	40	1	no	—
1710	D₄	—	40	1	no	—
1711	D₄	—	40	1	no	—
1712	D₄	—	40	1	no	—
1713	D₄	—	40	1	no	—
1714	D₄	—	40	1	no	—
1715	D₄	—	40	1	no	—
1716	D₄	—	40	1	no	—
1717	D₄	—	40	1	no	—
1718	D₄	—	40	1	no	—
1719	D₄	—	40	1	no	—
1720	D₄	—	40	1	no	—
1721	D₄	—	40	1	no	—
1722	D₄	—	40	1	no	—
1723	D₄	—	40	1	no	—
1724	D₄	—	40	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	5	1	no	—
1730	C₂×C₄	—	5	1	no	—
1731	C₂×C₄	—	5	1	no	—
1732	C₂×C₄	—	5	1	no	—
1733	C₂×C₄	—	5	1	no	—
1734	C₂×C₄	—	8	1	no	—
1735	C₂×C₄	—	8	1	no	—
1736	C₂×C₄	—	8	1	no	—
1737	C₂×C₄	—	8	1	no	—
1738	C₂×C₄	—	10	2	no	—
1739	C₂×C₄	—	10	1	no	—
1740	C₂×C₄	—	10	1	no	—
1741	C₂×C₄	—	10	1	no	—
1742	C₂×C₄	—	10	1	no	—
1743	C₂×C₄	—	10	1	no	—
1744	C₂×C₄	—	10	1	no	—
1745	C₂×C₄	—	10	1	no	—
1746	C₂×C₄	—	10	1	no	—
1747	C₂×C₄	—	10	1	no	—
1748	C₂×C₄	—	10	1	no	—
1749	C₂×C₄	—	20	1	no	—
1750	C₂×C₄	—	20	2	no	—
1751	C₂×C₄	—	20	2	no	—
1752	C₂×C₄	—	20	2	no	—
1753	C₂×C₄	—	40	1	no	—
1754	C₂×C₄	—	40	1	no	—
1755	C₂×C₄	—	40	1	no	—
1756	C₂×C₄	—	40	1	no	—
1757	C₂×C₄	—	40	1	no	—
1758	C₂×C₄	—	40	1	no	—
1759	C₂×C₄	—	40	1	no	—
1760	C₂×C₄	—	40	1	no	—
1761	C₂×C₄	—	40	1	no	—
1762	C₂×C₄	—	40	1	no	—
1763	C₂×C₄	—	40	1	no	—
1764	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1765	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1766	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1767	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1768	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1769	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1770	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1771	C₈	—	2	1	no	—
1772	C₈	—	2	1	no	—
1773	C₈	—	2	1	no	—
1774	C₈	—	2	1	no	—
1775	C₈	—	10	1	no	—
1776	C₈	—	10	1	no	—
1777	C₈	—	10	1	no	—
1778	C₈	—	10	1	no	—
1779	C₅	#62007	1	1	yes	characteristic, complemented, Sylow
1780	C₂²	—	4	1	no	—
1781	C₂²	—	4	1	no	—
1782	C₂²	—	4	1	no	—
1783	C₂²	—	4	1	no	—
1784	C₂²	—	4	1	no	—
1785	C₂²	—	4	1	no	—
1786	C₂²	—	4	1	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	5	2	no	—
1793	C₂²	—	10	1	no	—
1794	C₂²	—	10	1	no	—
1795	C₂²	—	10	1	no	—
1796	C₂²	—	10	1	no	—
1797	C₂²	—	10	2	no	—
1798	C₂²	—	10	1	no	—
1799	C₂²	—	10	1	no	—
1800	C₂²	—	10	1	no	—
1801	C₂²	—	10	1	no	—
1802	C₂²	—	20	1	no	—
1803	C₂²	—	20	1	no	—
1804	C₂²	—	20	1	no	—
1805	C₂²	—	20	1	no	—
1806	C₂²	—	20	1	no	—
1807	C₂²	—	20	1	no	—
1808	C₂²	—	20	1	no	—
1809	C₂²	—	20	1	no	—
1810	C₂²	—	20	1	no	—
1811	C₂²	—	20	1	no	—
1812	C₂²	—	20	1	no	—
1813	C₂²	—	40	4	no	—
1814	C₂²	—	80	2	no	—
1815	C₂²	—	80	2	no	—
1816	C₂²	—	80	2	no	—
1817	C₂²	—	80	2	no	—
1818	C₂²	—	80	2	no	—
1819	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	2	1	no	—
1824	C₄	—	2	1	no	—
1825	C₄	—	2	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	4	1	no	—
1829	C₄	—	4	1	no	—
1830	C₄	—	10	1	no	—
1831	C₄	—	10	1	no	—
1832	C₄	—	10	1	no	—
1833	C₄	—	10	1	no	—
1834	C₄	—	10	1	no	—
1835	C₄	—	20	1	no	—
1836	C₄	—	20	1	no	—
1837	C₄	—	20	1	no	—
1838	C₄	—	20	1	no	—
1839	C₄	#66283	1	1	yes	characteristic
1840	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1841	C₂	—	8	1	no	—
1842	C₂	—	8	1	no	—
1843	C₂	—	8	1	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	10	2	no	—
1846	C₂	—	20	1	no	—
1847	C₂	—	20	1	no	—
1848	C₂	—	20	2	no	—
1849	C₂	—	40	1	no	—
1850	C₂	—	40	1	no	—
1851	C₂	—	40	1	no	—
1852	C₂	#10618670	1	1	yes	characteristic
1853	C₂	#10619101	1	1	yes	characteristic
1854	C₂	D₅×#576	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×#3403	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3403	D₅
hypocenter	C₅	#62007
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3403

Complements

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

N	H ≅ G/N	type
1. #10618967	C₂	semidirect
2. #10618954	C₂	semidirect
3. C₅×#3403	C₂	semidirect
4. #10615445	C₂	semidirect
5. #10615442	C₂	semidirect
6. #10613587	C₂	semidirect
7. #10613587	C₂	semidirect
8. #10613584	C₂	semidirect
9. #10613582	C₂	semidirect
10. #10613562	C₂	semidirect
11. #10613558	C₂	semidirect
12. #10612359	C₂	semidirect
13. #10612354	C₂	semidirect
14. #10612346	C₂	semidirect
15. #10612333	C₂	semidirect
16. #10612292	C₂	semidirect
17. #10612283	C₂	semidirect
18. #10612267	C₂	semidirect
19. #10612246	C₂	semidirect
20. #10612086	C₂	semidirect
21. #10612081	C₂	semidirect
22. #10612078	C₂	semidirect
23. D₅×#459	C₂	semidirect
24. #10611700	C₂	semidirect
25. #10611677	C₂	semidirect
26. #10611543	C₂	semidirect
27. #10611531	C₂	semidirect
28. #10611530	C₂	semidirect
29. #10611513	C₂	semidirect
30. #10611339	C₂	semidirect
31. #10611327	C₂	semidirect
32. C₅×#559	C₂²	semidirect
33. C₅×#559	C₂²	semidirect
34. C₂×#4065	C₂²	semidirect
35. C₂×#4060	C₂²	semidirect
36. C₂×#4060	C₂²	semidirect
37. C₂×D₅×D₈	C₂²	semidirect
38. C₂×D₅×D₈	C₂²	semidirect
39. C₂×D₅×D₈	C₂²	semidirect
40. #66053	C₂²	semidirect
41. #66051	C₂²	semidirect
42. #66051	C₂²	semidirect
43. D₅×#127	C₂²	semidirect
44. #66016	C₂²	semidirect
45. #66014	C₂²	semidirect
50. #66010	C₂²	semidirect
51. #66010	C₂²	semidirect
52. #66010	C₂²	semidirect
54. #66008	C₂²	semidirect
55. #66008	C₂²	semidirect
64. #65915	C₂²	semidirect
66. #65914	C₂²	semidirect
67. #65913	C₂²	semidirect
68. #65911	C₂²	semidirect
69. #65911	C₂²	semidirect
70. #65908	C₂²	semidirect
72. #65896	C₂²	semidirect
73. #65896	C₂²	semidirect
74. #65892	C₂²	semidirect
76. #65885	C₂²	semidirect
79. D₄×D₂₀	C₂²	semidirect
81. #65879	C₂²	semidirect
82. C₄×D₄×D₅	C₂²	semidirect
83. C₅×#496	C₂²	semidirect
84. C₅×#496	C₂²	semidirect
85. C₅×#495	C₂²	semidirect
86. C₅×#464	C₂²	semidirect
87. C₅×#464	C₂²	semidirect
88. C₅×#463	C₂²	semidirect
89. C₅×#463	C₂²	semidirect
90. C₅×#459	C₂²	semidirect
91. C₅×#459	C₂²	semidirect
92. C₅×#446	C₂²	semidirect
93. C₅×#440	C₂²	semidirect
94. C₅×#440	C₂²	semidirect
95. C₄×C₅×D₈	C₂²	semidirect
96. #65477	C₂²	semidirect
97. #65476	C₂²	semidirect
98. #65474	C₂²	semidirect
99. #65461	C₂²	semidirect
100. #65461	C₂²	semidirect
101. #65461	C₂²	semidirect
102. #65461	C₂²	semidirect
103. #65460	C₂²	semidirect
104. #65460	C₂²	semidirect
105. #65458	C₂²	semidirect
106. #65458	C₂²	semidirect
107. #65458	C₂²	semidirect
108. #65458	C₂²	semidirect
109. #65454	C₂²	semidirect
110. #65454	C₂²	semidirect
111. #65452	C₂²	semidirect
112. #65452	C₂²	semidirect
113. #65448	C₂²	semidirect
114. #65448	C₂²	semidirect
115. #65446	C₂²	semidirect
116. #65445	C₂²	semidirect
117. #65445	C₂²	semidirect
118. #65445	C₂²	semidirect
119. #65445	C₂²	semidirect
120. #65445	C₂²	semidirect
121. #65445	C₂²	semidirect
122. #65439	C₂²	semidirect
123. #65439	C₂²	semidirect
124. #65439	C₂²	semidirect
125. #65439	C₂²	semidirect
126. #65362	C₂²	semidirect
128. #65361	C₂²	semidirect
129. #65360	C₂²	semidirect
130. #65347	C₂²	semidirect
131. #65347	C₂²	semidirect
132. #65346	C₂²	semidirect
133. #65346	C₂²	semidirect
134. #65346	C₂²	semidirect
135. #65346	C₂²	semidirect
136. #65345	C₂²	semidirect
137. #65344	C₂²	semidirect
138. #65316	C₂²	semidirect
139. #65315	C₂²	semidirect
140. C₄×#688	C₂²	semidirect
141. #65313	C₂²	semidirect
142. #65311	C₂²	semidirect
143. #65304	C₂²	semidirect
144. #65304	C₂²	semidirect
145. #65303	C₂²	semidirect
146. #65303	C₂²	semidirect
147. #65303	C₂²	semidirect
148. C₄×#686	C₂²	semidirect
149. #65298	C₂²	semidirect
150. #65296	C₂²	semidirect
151. #65180	C₂²	semidirect
152. #65174	C₂²	semidirect
153. #65171	C₂²	semidirect
154. #65171	C₂²	semidirect
155. #65136	C₂²	semidirect
156. #65136	C₂²	semidirect
157. #65132	C₂²	semidirect
158. #65132	C₂²	semidirect
159. #65132	C₂²	semidirect
160. #65131	C₂²	semidirect
161. #65128	C₂²	semidirect
162. #65128	C₂²	semidirect
163. #65125	C₂²	semidirect
164. #65125	C₂²	semidirect
165. #65123	C₂²	semidirect
166. D₅×C₄⋊C₈	C₂²	semidirect
167. #65108	C₂²	semidirect
168. #65101	C₂²	semidirect
169. #65100	C₂²	semidirect
170. #65096	C₂²	semidirect
171. #65094	C₂²	semidirect
172. #65093	C₂²	semidirect
173. #65092	C₂²	semidirect
174. #65088	C₂²	semidirect
175. #65075	C₂²	semidirect
176. #65075	C₂²	semidirect
177. #65073	C₂²	semidirect
178. #65071	C₂²	semidirect
179. #65066	C₂²	semidirect
181. #65064	C₂²	semidirect
182. #65064	C₂²	semidirect
184. #65062	C₂²	semidirect
185. #65059	C₂²	semidirect
186. D₅×#102	C₂²	semidirect
187. D₅×#102	C₂²	semidirect
188. D₅×#102	C₂²	semidirect
189. #65055	C₂²	semidirect
190. #65052	C₂²	semidirect
191. #65002	C₂²	semidirect
192. #65002	C₂²	semidirect
193. #65000	C₂²	semidirect
194. #65000	C₂²	semidirect
195. #64998	C₂²	semidirect
196. #64995	C₂²	semidirect
197. #64995	C₂²	semidirect
198. #64994	C₂²	semidirect
199. #64983	C₂²	semidirect
200. C₄×D₄₀	C₂²	semidirect
201. #64979	C₂²	semidirect
202. C₈×D₂₀	C₂²	semidirect
487. #3403	D₅	semidirect
752. #559	C₂×D₅	semidirect
753. #559	C₂×D₅	semidirect
797. #496	C₂×D₅	semidirect
798. #496	C₂×D₅	semidirect
799. #495	C₂×D₅	semidirect
836. #464	C₂×D₅	semidirect
837. #464	C₂×D₅	semidirect
845. #463	C₂×D₅	semidirect
846. #463	C₂×D₅	semidirect
863. #459	C₂×D₅	semidirect
864. #459	C₂×D₅	semidirect
884. #446	C₂×D₅	semidirect
891. #440	C₂×D₅	semidirect
892. #440	C₂×D₅	semidirect
896. C₄×D₈	C₂×D₅	semidirect
1779. C₅	#62007	semidirect

Maximal subgroups

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

subgroup	index
#10618967	2
#10618954	2
C₅×#3403	2
#10615445	2
#10615442	2
#10613587	2
#10613584	2
#10613582	2
#10613562	2
#10613558	2
#10612359	2
#10612354	2
#10612346	2
#10612333	2
#10612292	2
#10612283	2
#10612267	2
#10612246	2
#10612086	2
#10612081	2
#10612078	2
D₅×#459	2
#10611700	2
#10611677	2
#10611543	2
#10611531	2
#10611530	2
#10611513	2
#10611339	2
#10611327	2
#62007	5