Subgroups — #12991529

Order 1280.

1952 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618063	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617686	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3105	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614880	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#65305	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613221	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613216	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613076	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613073	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612911	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612879	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612872	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612871	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612272	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612271	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612264	C₂	1	1	yes	maximal, characteristic, complemented
17	D₅×#463	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611902	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611899	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611758	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611755	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611410	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611405	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611370	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611351	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611340	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611337	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611311	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611300	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611038	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611022	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#529	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
34	#66140	C₂²	1	1	yes	characteristic, complemented
35	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	C₂²×#687	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#686	C₂²	1	1	yes	characteristic
38	#66125	—	2	1	no	—
39	C₂×C₄×C₂²⋊D₅	—	2	1	no	—
40	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4058	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
44	#66044	—	2	1	no	—
45	#66038	—	2	1	no	—
46	#66025	C₂²	1	1	yes	characteristic, complemented
47	#66025	C₂²	1	1	yes	characteristic, complemented
48	D₅×#124	C₂²	1	1	yes	characteristic, complemented
49	#66002	C₂²	1	1	yes	characteristic, complemented
50	#65992	—	2	1	no	—
51	#65988	—	2	1	no	—
52	#65966	C₂²	1	1	yes	characteristic
53	#65964	C₂²	1	1	yes	characteristic, complemented
54	#65943	C₂²	1	1	yes	characteristic
55	#65932	C₂²	1	1	yes	characteristic, complemented
56	#65910	C₂²	1	1	yes	characteristic, complemented
57	#65902	C₂²	1	1	yes	characteristic, complemented
58	#65894	—	2	1	no	—
59	#65893	C₂²	1	1	yes	characteristic, complemented
60	#65893	C₂²	1	1	yes	characteristic, complemented
61	#65892	C₂²	1	1	yes	characteristic, complemented
62	#65891	C₂²	1	1	yes	characteristic, complemented
63	#65890	—	2	1	no	—
64	#65888	C₂²	1	1	yes	characteristic, complemented
65	#65888	C₂²	1	1	yes	characteristic, complemented
66	#65882	C₂²	1	1	yes	characteristic, complemented
67	#65881	—	2	1	no	—
68	#65879	—	2	1	no	—
69	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
70	#65874	—	2	1	no	—
71	#65873	C₂²	1	1	yes	characteristic, complemented
72	#65872	—	2	1	no	—
73	C₄×#711	C₂²	1	1	yes	characteristic, complemented
74	#65866	—	2	1	no	—
75	#65861	—	2	1	no	—
76	#65848	C₂²	1	1	yes	characteristic, complemented
77	#65845	C₂²	1	1	yes	characteristic
78	#65829	—	2	1	no	—
79	#65824	—	2	1	no	—
80	#65813	C₂²	1	1	yes	characteristic, complemented
81	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
82	C₄×#709	C₂²	1	1	yes	characteristic
83	C₅×#484	C₂²	1	1	yes	characteristic, complemented
84	C₅×#481	C₂²	1	1	yes	characteristic, complemented
85	C₅×#478	C₂²	1	1	yes	characteristic, complemented
86	C₅×#478	C₂²	1	1	yes	characteristic, complemented
87	C₅×#463	C₂²	1	1	yes	characteristic, complemented
88	C₅×#463	C₂²	1	1	yes	characteristic, complemented
89	C₅×#450	C₂²	1	1	yes	characteristic, complemented
90	C₅×#447	C₂²	1	1	yes	characteristic
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
95	C₅×#431	C₂²	1	1	yes	characteristic, complemented
96	#65464	C₂²	1	1	yes	characteristic, complemented
97	#65461	C₂²	1	1	yes	characteristic, complemented
98	#65459	C₂²	1	1	yes	characteristic, complemented
99	#65457	C₂²	1	1	yes	characteristic, complemented
100	#65454	C₂²	1	1	yes	characteristic
101	#65451	C₂²	1	1	yes	characteristic, complemented
102	#65447	C₂²	1	1	yes	characteristic, complemented
103	#65445	C₂²	1	1	yes	characteristic
104	#65444	C₂²	1	1	yes	characteristic, complemented
105	#65442	C₂²	1	1	yes	characteristic, complemented
106	#65440	C₂²	1	1	yes	characteristic
107	#65439	C₂²	1	1	yes	characteristic
108	#65355	C₂²	1	1	yes	characteristic, complemented
109	#65352	C₂²	1	1	yes	characteristic, complemented
110	#65346	C₂²	1	1	yes	characteristic, complemented
111	#65343	C₂²	1	1	yes	characteristic, complemented
112	#65340	C₂²	1	1	yes	characteristic, complemented
113	#65337	C₂²	1	1	yes	characteristic, complemented
114	#65330	C₂²	1	1	yes	characteristic, complemented
115	#65327	C₂²	1	1	yes	characteristic
116	#65317	C₂²	1	1	yes	characteristic, complemented
117	#65311	C₂²	1	1	yes	characteristic, complemented
118	#65305	C₂²	1	1	yes	characteristic
119	#65305	C₂²	1	1	yes	characteristic
120	#65305	C₂²	1	1	yes	characteristic, complemented
121	#65305	C₂²	1	1	yes	characteristic, complemented
122	#65305	C₂²	1	1	yes	characteristic, complemented
123	#65305	C₂²	1	1	yes	characteristic, complemented
124	#65305	C₂²	1	1	yes	characteristic, complemented
125	#65305	C₂²	1	1	yes	characteristic, complemented
126	#65305	C₂²	1	1	yes	characteristic, complemented
127	#65298	C₂²	1	1	yes	characteristic, complemented
128	C₂×#3942	C₂²	1	1	yes	characteristic, complemented
129	C₂×#3941	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄⋊#168	C₂²	1	1	yes	characteristic, complemented
131	#65180	C₂²	1	1	yes	characteristic, complemented
132	#65176	C₂²	1	1	yes	characteristic, complemented
133	#65174	C₂²	1	1	yes	characteristic, complemented
134	#65173	C₂²	1	1	yes	characteristic, complemented
135	#65172	C₂²	1	1	yes	characteristic, complemented
136	#65164	C₂²	1	1	yes	characteristic, complemented
137	#65162	C₂²	1	1	yes	characteristic, complemented
138	#65161	C₂²	1	1	yes	characteristic, complemented
139	#65159	C₂²	1	1	yes	characteristic, complemented
140	#65156	C₂²	1	1	yes	characteristic, complemented
141	#65153	C₂²	1	1	yes	characteristic, complemented
142	#65153	C₂²	1	1	yes	characteristic, complemented
143	#65152	C₂²	1	1	yes	characteristic, complemented
144	#65146	C₂²	1	1	yes	characteristic, complemented
145	#65141	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65134	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65133	C₂²	1	1	yes	characteristic, complemented
150	#65133	C₂²	1	1	yes	characteristic, complemented
151	#65122	C₂²	1	1	yes	characteristic, complemented
152	#65122	C₂²	1	1	yes	characteristic, complemented
153	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
154	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65100	C₂²	1	1	yes	characteristic, complemented
157	#65097	C₂²	1	1	yes	characteristic, complemented
158	#65093	C₂²	1	1	yes	characteristic, complemented
159	D₅×#103	C₂²	1	1	yes	characteristic, complemented
160	#65089	C₂²	1	1	yes	characteristic, complemented
161	#65082	C₂²	1	1	yes	characteristic, complemented
162	#65081	C₂²	1	1	yes	characteristic, complemented
163	#65076	C₂²	1	1	yes	characteristic, complemented
164	#65076	C₂²	1	1	yes	characteristic, complemented
165	#65075	C₂²	1	1	yes	characteristic
166	#65072	C₂²	1	1	yes	characteristic, complemented
167	#65070	C₂²	1	1	yes	characteristic
168	#65070	C₂²	1	1	yes	characteristic, complemented
169	#65067	C₂²	1	1	yes	characteristic, complemented
170	#65067	C₂²	1	1	yes	characteristic, complemented
171	#65065	C₂²	1	1	yes	characteristic, complemented
172	#65065	C₂²	1	1	yes	characteristic, complemented
173	#65064	C₂²	1	1	yes	characteristic
174	#65064	C₂²	1	1	yes	characteristic, complemented
175	#65062	C₂²	1	1	yes	characteristic
176	#65061	C₂²	1	1	yes	characteristic, complemented
177	D₅×#102	C₂²	1	1	yes	characteristic, complemented
178	#65057	C₂²	1	1	yes	characteristic, complemented
179	#65056	C₂²	1	1	yes	characteristic, complemented
180	#65051	C₂²	1	1	yes	characteristic, complemented
181	#65051	C₂²	1	1	yes	characteristic, complemented
182	#65049	C₂²	1	1	yes	characteristic, complemented
183	#65047	C₂²	1	1	yes	characteristic, complemented
184	#65047	C₂²	1	1	yes	characteristic, complemented
185	#65045	C₂²	1	1	yes	characteristic
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65028	C₂²	1	1	yes	characteristic, complemented
188	#65027	C₂²	1	1	yes	characteristic, complemented
189	#65021	C₂²	1	1	yes	characteristic
190	#65020	C₂²	1	1	yes	characteristic, complemented
191	#65014	C₂²	1	1	yes	characteristic
192	#65014	C₂²	1	1	yes	characteristic
193	#65014	C₂²	1	1	yes	characteristic, complemented
194	#65014	C₂²	1	1	yes	characteristic, complemented
195	#64986	C₂²	1	1	yes	characteristic, complemented
196	#64986	C₂²	1	1	yes	characteristic, complemented
197	#64985	C₂²	1	1	yes	characteristic, complemented
198	#64985	C₂²	1	1	yes	characteristic, complemented
199	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
200	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
201	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61955	—	5	1	no	maximal, Sylow
204	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₅	—	2	1	no	—
206	C₂²×C₂²⋊D₅	—	2	1	no	—
207	C₂×#713	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×#711	C₂³	1	1	yes	characteristic
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×#709	—	2	1	no	—
215	C₂×#709	D₄	1	1	yes	characteristic
216	C₂²×D₂₀	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₅	—	2	1	no	—
218	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
219	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
222	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
223	C₅×#126	—	2	1	no	—
224	C₅×#125	C₂³	1	1	yes	characteristic
225	C₅×#124	C₂³	1	1	yes	characteristic
226	C₅×#123	—	2	1	no	—
227	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₅×#121	C₂³	1	1	yes	characteristic
229	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	—	2	1	no	—
231	C₄×C₅×D₄	—	2	1	no	—
232	C₄×C₅×D₄	—	2	1	no	—
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
236	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₅×#117	—	2	1	no	—
239	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
241	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
242	#4099	—	2	1	no	—
243	#4099	—	2	1	no	—
244	C₂×C₂²⋊Dic₅	—	2	1	no	—
245	#4093	C₂³	1	1	yes	characteristic
246	#4090	C₂³	1	1	yes	characteristic
247	C₂×#689	C₂³	1	1	yes	characteristic
248	C₂×#688	C₂³	1	1	yes	characteristic
249	#4086	C₂³	1	1	yes	characteristic
250	#4086	C₂³	1	1	yes	characteristic
251	#4085	—	2	1	no	—
252	#4085	—	2	1	no	—
253	#4085	—	2	1	no	—
254	#4084	C₂³	1	1	yes	characteristic
255	#4084	C₂³	1	1	yes	characteristic
256	#4083	—	2	1	no	—
257	#4083	—	2	1	no	—
258	#4082	C₂³	1	1	yes	characteristic
259	#4082	C₂³	1	1	yes	characteristic
260	#4081	—	2	1	no	—
261	D₄×Dic₅	—	2	1	no	—
262	D₄×Dic₅	C₂³	1	1	yes	characteristic
263	D₄×Dic₅	C₂³	1	1	yes	characteristic
264	C₂×#687	—	4	2	no	—
265	C₂×#687	C₂³	1	1	yes	characteristic
266	C₂×#687	C₂³	1	1	yes	characteristic
267	C₂×#687	C₂³	1	1	yes	characteristic
268	C₂×#687	C₂³	1	1	yes	characteristic
269	C₂×#687	C₂³	1	1	yes	characteristic
270	C₂×#686	—	4	2	no	—
271	C₂×#686	C₂³	1	1	yes	characteristic
272	C₂×#686	C₂³	1	1	yes	characteristic
273	C₂×#686	C₂³	1	1	yes	characteristic
274	C₂×#686	C₂³	1	1	yes	characteristic
275	C₂×#686	C₂³	1	1	yes	characteristic
276	#4076	—	2	1	no	—
277	#4076	—	2	1	no	—
278	#4076	—	2	1	no	—
279	#4076	C₂³	1	1	yes	characteristic
280	#4075	—	2	1	no	—
281	#4075	—	2	1	no	—
282	#4075	—	2	1	no	—
283	#4075	—	2	1	no	—
284	C₄×C₂²⋊D₅	—	2	1	no	—
285	C₄×C₂²⋊D₅	—	2	1	no	—
286	C₄×C₂²⋊D₅	—	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	D₄	1	1	yes	characteristic
295	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
296	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
297	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
298	C₂×#685	—	2	1	no	—
299	C₂×#685	—	2	1	no	—
300	C₂×#685	—	2	1	no	—
301	C₂×#685	—	2	1	no	—
302	#4072	—	2	1	no	—
303	#4072	D₄	1	1	yes	characteristic
304	#4070	—	2	1	no	—
305	#4070	—	2	1	no	—
306	#4070	C₂³	1	1	yes	characteristic
307	C₂×#683	—	2	1	no	—
308	C₂×C₄×Dic₅	—	2	1	no	—
309	C₂²×#168	C₂³	1	1	yes	characteristic
310	C₂²×#168	C₂³	1	1	yes	characteristic
311	#4062	—	4	2	no	—
312	D₅×SD₁₆	—	4	2	no	—
313	#4058	—	4	2	no	—
314	D₅×D₈	—	4	2	no	—
315	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
316	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
317	C₂×D₄₀	C₂³	1	1	yes	characteristic
318	C₂×D₄₀	C₂³	1	1	yes	characteristic
319	C₂×#677	C₂³	1	1	yes	characteristic
320	C₂×#677	C₂³	1	1	yes	characteristic
321	C₂×#677	C₂³	1	1	yes	characteristic
322	C₂×#677	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
326	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
327	#4044	—	2	1	no	—
328	#4044	—	2	1	no	—
329	#4044	—	2	1	no	—
330	#4044	—	2	1	no	—
331	#4043	—	2	1	no	—
332	#4043	C₂³	1	1	yes	characteristic
333	#4043	C₂³	1	1	yes	characteristic
334	#4043	C₂³	1	1	yes	characteristic
335	#4042	—	2	1	no	—
336	#4042	—	2	1	no	—
337	#4042	—	2	1	no	—
338	#4041	—	2	1	no	—
339	#4041	—	2	1	no	—
340	#4041	C₂³	1	1	yes	characteristic
341	#4041	C₂³	1	1	yes	characteristic
342	#4041	C₂³	1	1	yes	characteristic
343	#4040	—	2	1	no	—
344	#4040	—	2	1	no	—
345	#4040	—	2	1	no	—
346	#4040	—	2	1	no	—
347	#4039	—	2	1	no	—
348	#4039	—	2	1	no	—
349	#4039	C₂³	1	1	yes	characteristic
350	#4039	C₂³	1	1	yes	characteristic
351	#4039	C₂³	1	1	yes	characteristic
352	#4038	—	2	1	no	—
353	#4038	—	2	1	no	—
354	#4038	C₂³	1	1	yes	characteristic
355	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
356	#4036	C₂³	1	1	yes	characteristic
357	#4035	—	2	1	no	—
358	#4034	—	2	1	no	—
359	#4034	C₂³	1	1	yes	characteristic
360	#4033	C₂³	1	1	yes	characteristic
361	#4033	C₂³	1	1	yes	characteristic
362	#4033	C₂³	1	1	yes	characteristic
363	#4032	—	2	1	no	—
364	#4032	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4031	—	2	1	no	—
367	#4031	—	2	1	no	—
368	#4031	—	2	1	no	—
369	#4031	—	2	1	no	—
370	#4031	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4030	—	2	1	no	—
373	#4030	—	2	1	no	—
374	#4030	—	2	1	no	—
375	#4030	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4029	—	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	#4027	—	2	1	no	—
387	#4027	—	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	#4024	—	2	1	no	—
395	#4024	—	2	1	no	—
396	#4024	—	2	1	no	—
397	#4024	—	2	1	no	—
398	#4023	—	2	1	no	—
399	#4022	—	2	1	no	—
400	#4022	—	2	1	no	—
401	#4021	—	2	1	no	—
402	#4021	—	2	1	no	—
403	#4021	—	2	1	no	—
404	#4021	C₂³	1	1	yes	characteristic
405	#4021	C₂³	1	1	yes	characteristic
406	#4021	C₂³	1	1	yes	characteristic
407	#4021	C₂³	1	1	yes	characteristic
408	#4021	C₂³	1	1	yes	characteristic
409	C₄×D₂₀	—	2	1	no	—
410	C₄×D₂₀	D₄	1	1	yes	characteristic
411	C₄×D₂₀	C₂³	1	1	yes	characteristic
412	C₄×D₂₀	C₂³	1	1	yes	characteristic
413	#4018	—	2	1	no	—
414	#4018	—	2	1	no	—
415	#4018	D₄	1	1	yes	characteristic
416	#4018	D₄	1	1	yes	characteristic
417	C₄²×D₅	C₂³	1	1	yes	characteristic
418	C₄²×D₅	C₂³	1	1	yes	characteristic
419	#4016	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₀	D₄	1	1	yes	characteristic
421	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
423	C₅×#107	C₂³	1	1	yes	characteristic
424	C₅×#107	C₂³	1	1	yes	characteristic
425	C₅×#106	C₂³	1	1	yes	characteristic
426	C₅×#106	C₂³	1	1	yes	characteristic
427	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×#102	C₂³	1	1	yes	characteristic
435	C₅×#102	C₂³	1	1	yes	characteristic
436	C₅×#102	C₂³	1	1	yes	characteristic
437	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
438	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
440	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3953	C₂³	1	1	yes	characteristic
448	#3953	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3952	C₂³	1	1	yes	characteristic
451	#3952	C₂³	1	1	yes	characteristic
452	#3952	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	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	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3942	C₂³	1	1	yes	characteristic
470	#3942	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	#3941	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3940	C₂³	1	1	yes	characteristic
478	#3940	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	C₄⋊#168	C₂³	1	1	yes	characteristic
484	C₄⋊#168	C₂³	1	1	yes	characteristic
485	#3514	—	5	1	no	—
486	#3481	—	5	1	no	—
487	#3396	—	5	1	no	—
488	#3394	—	5	1	no	—
489	#3361	—	5	1	no	—
490	#3360	—	5	1	no	—
491	#3301	—	5	1	no	—
492	#3301	—	5	1	no	—
493	#3299	—	5	1	no	—
494	#3297	—	5	1	no	—
495	#3297	—	5	1	no	—
496	#3295	—	5	1	no	—
497	#3282	—	5	1	no	—
498	#3282	—	5	1	no	—
499	D₄×SD₁₆	—	5	1	no	—
500	#3280	—	5	1	no	—
501	#3280	—	5	1	no	—
502	D₄×D₈	—	5	1	no	—
503	#3250	—	5	1	no	—
504	#3250	—	5	1	no	—
505	#3247	—	5	1	no	—
506	#3211	—	5	1	no	—
507	#3211	—	5	1	no	—
508	#3207	—	5	1	no	—
509	#3105	—	5	1	no	—
510	#3105	D₅	1	1	yes	characteristic, complemented
511	#3102	—	5	1	no	—
512	#3035	—	5	1	no	—
513	C₂×#463	—	5	1	no	—
514	C₂×#463	—	5	1	no	—
515	#2988	—	5	1	no	—
516	C₂⁴×C₅	—	2	1	no	—
517	C₂³×D₅	—	2	1	no	—
518	C₂³×D₅	—	2	1	no	—
519	C₂³×D₅	—	2	1	no	—
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	—	2	2	no	—
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	4	1	no	—
525	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
526	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	—	2	1	no	—
532	C₂²×C₄×C₅	—	2	1	no	—
533	C₂²×C₄×C₅	—	2	1	no	—
534	C₂²×C₄×C₅	—	8	2	no	—
535	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
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	—	4	4	no	—
550	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
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	#713	—	4	1	no	—
558	#713	—	4	1	no	—
559	Q₈×D₅	—	4	1	no	—
560	Q₈×D₅	—	4	1	no	—
561	#711	—	2	2	no	—
562	#711	—	4	1	no	—
563	#711	—	4	1	no	—
564	#711	—	4	1	no	—
565	D₄×D₅	—	2	2	no	—
566	D₄×D₅	—	4	1	no	—
567	D₄×D₅	—	4	1	no	—
568	D₄×D₅	—	4	1	no	—
569	D₄×D₅	—	4	4	no	—
570	#709	—	2	4	no	—
571	#709	—	8	2	no	—
572	C₂×D₂₀	—	2	1	no	—
573	C₂×D₂₀	—	2	1	no	—
574	C₂×D₂₀	—	2	1	no	—
575	C₂×D₂₀	—	2	1	no	—
576	C₂×D₂₀	—	2	1	no	—
577	C₂×D₂₀	—	4	1	no	—
578	C₂×D₂₀	—	4	1	no	—
579	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
580	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
581	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
582	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₅	—	2	1	no	—
584	C₂×C₄×D₅	—	2	1	no	—
585	C₂×C₄×D₅	—	2	1	no	—
586	C₂×C₄×D₅	—	2	1	no	—
587	C₂×C₄×D₅	—	2	1	no	—
588	C₂×C₄×D₅	—	2	1	no	—
589	C₂×C₄×D₅	—	2	1	no	—
590	C₂×C₄×D₅	—	8	2	no	—
591	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₁₀	—	2	1	no	—
598	C₂×Dic₁₀	—	2	1	no	—
599	C₂×Dic₁₀	—	2	1	no	—
600	C₂×Dic₁₀	—	4	1	no	—
601	C₂×Dic₁₀	—	4	1	no	—
602	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
603	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
604	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
605	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
606	C₅×SD₁₆	—	2	2	no	—
607	C₅×SD₁₆	—	4	1	no	—
608	C₅×D₈	—	2	2	no	—
609	C₅×D₈	—	4	1	no	—
610	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
611	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
612	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
613	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
614	C₅×C₄⋊C₄	—	2	1	no	—
615	C₅×C₄⋊C₄	—	2	1	no	—
616	C₅×C₄⋊C₄	—	2	1	no	—
617	C₅×C₄⋊C₄	—	2	1	no	—
618	C₅×C₄⋊C₄	—	2	1	no	—
619	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₅×C₂²⋊C₄	—	2	1	no	—
624	C₅×C₂²⋊C₄	—	2	1	no	—
625	C₅×C₂²⋊C₄	—	2	1	no	—
626	C₅×C₂²⋊C₄	—	2	1	no	—
627	C₅×C₂²⋊C₄	—	2	1	no	—
628	C₅×C₂²⋊C₄	—	2	1	no	—
629	C₅×C₂²⋊C₄	—	2	1	no	—
630	C₅×C₂²⋊C₄	—	2	1	no	—
631	C₅×C₂²⋊C₄	—	2	1	no	—
632	C₄²×C₅	—	2	1	no	—
633	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
634	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
635	C₄²×C₅	C₂⁴	1	1	yes	characteristic
636	C₄²×C₅	C₂⁴	1	1	yes	characteristic
637	C₂²⋊Dic₅	—	2	1	no	—
638	C₂²⋊Dic₅	—	2	1	no	—
639	C₂²⋊Dic₅	—	2	1	no	—
640	C₂²⋊Dic₅	—	2	1	no	—
641	C₂²⋊Dic₅	—	2	1	no	—
642	C₂²⋊Dic₅	—	2	1	no	—
643	C₂²⋊Dic₅	—	2	1	no	—
644	C₂²⋊Dic₅	—	2	1	no	—
645	C₂²⋊Dic₅	—	2	1	no	—
646	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
648	#689	—	4	1	no	—
649	#688	—	4	1	no	—
650	#687	—	2	2	no	—
651	#687	—	2	2	no	—
652	#687	—	4	1	no	—
653	#687	—	4	1	no	—
654	#687	—	4	1	no	—
655	#686	—	2	2	no	—
656	#686	—	2	2	no	—
657	#686	—	4	1	no	—
658	#686	—	4	1	no	—
659	#686	—	4	1	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	—	2	1	no	—
672	#685	—	2	1	no	—
673	#685	—	2	1	no	—
674	#685	—	2	1	no	—
675	#685	—	2	1	no	—
676	#685	—	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	C₂×D₄	1	1	yes	characteristic
685	#685	C₂×D₄	1	1	yes	characteristic
686	#685	C₂×D₄	1	1	yes	characteristic
687	#685	C₂×D₄	1	1	yes	characteristic
688	C₄⋊Dic₅	—	2	1	no	—
689	C₄⋊Dic₅	—	2	1	no	—
690	C₄⋊Dic₅	—	2	1	no	—
691	C₄⋊Dic₅	—	2	1	no	—
692	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
693	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
695	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	—	2	1	no	—
705	#683	—	2	1	no	—
706	#683	—	2	1	no	—
707	#683	—	2	1	no	—
708	#683	C₂×D₄	1	1	yes	characteristic
709	#683	C₂×D₄	1	1	yes	characteristic
710	#683	C₂×D₄	1	1	yes	characteristic
711	#683	C₂×D₄	1	1	yes	characteristic
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	—	4	1	no	—
724	C₂×#168	—	4	1	no	—
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	C₂×#168	C₂⁴	1	1	yes	characteristic
728	C₂×#168	C₂⁴	1	1	yes	characteristic
729	Dic₂₀	—	4	1	no	—
730	Dic₂₀	—	4	1	no	—
731	D₄₀	—	4	1	no	—
732	D₄₀	—	4	1	no	—
733	#677	—	4	1	no	—
734	#677	—	4	1	no	—
735	#677	—	4	1	no	—
736	#677	—	4	1	no	—
737	C₈×D₅	—	4	1	no	—
738	C₈×D₅	—	4	1	no	—
739	C₈×D₅	—	4	1	no	—
740	C₈×D₅	—	4	1	no	—
741	C₂×#135	—	5	1	no	—
742	C₂×#135	—	5	1	no	—
743	C₂²×SD₁₆	—	5	1	no	—
744	C₂²×SD₁₆	—	5	1	no	—
745	C₂²×D₈	—	5	1	no	—
746	C₂²×D₈	—	5	1	no	—
747	#559	—	5	1	no	—
748	#559	—	5	1	no	—
749	#556	—	5	1	no	—
750	#555	—	10	1	no	—
751	#554	—	5	1	no	—
752	#554	—	5	1	no	—
753	#553	—	5	1	no	—
754	#553	—	5	1	no	—
755	#553	—	10	1	no	—
756	#551	—	10	1	no	—
757	#551	—	10	1	no	—
758	#551	—	10	1	no	—
759	#551	—	10	1	no	—
760	D₄×Q₈	—	5	1	no	—
761	#548	—	5	1	no	—
762	#548	—	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	#542	—	10	1	no	—
772	#538	—	10	1	no	—
773	#538	—	10	1	no	—
774	#532	—	5	1	no	—
775	#532	—	5	1	no	—
776	#529	—	5	1	no	—
777	#529	—	5	1	no	—
778	#529	—	5	1	no	—
779	#529	—	5	1	no	—
780	#529	—	10	1	no	—
781	#529	C₂×D₅	1	1	yes	characteristic, complemented
782	C₂×#124	—	5	1	no	—
783	C₂×#124	—	5	1	no	—
784	#525	—	10	1	no	—
785	#525	—	10	1	no	—
786	#518	—	10	1	no	—
787	C₄×#41	—	5	1	no	—
788	C₄×#41	—	5	1	no	—
789	C₂×C₄×D₄	—	5	1	no	—
790	C₂×C₄×D₄	—	10	1	no	—
791	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
792	#495	—	5	1	no	—
793	#495	—	5	1	no	—
794	#495	—	5	1	no	—
795	#495	—	5	1	no	—
796	#493	—	5	1	no	—
797	#492	—	5	1	no	—
798	#488	—	5	1	no	—
799	#488	—	5	1	no	—
800	#488	—	5	1	no	—
801	#488	—	5	1	no	—
802	#487	—	5	1	no	—
803	#486	—	5	1	no	—
804	#485	—	5	1	no	—
805	#484	—	5	1	no	—
806	#484	C₂×D₅	1	1	yes	characteristic, complemented
807	#482	—	5	1	no	—
808	#481	—	5	1	no	—
809	#481	C₂×D₅	1	1	yes	characteristic, complemented
810	#479	—	5	1	no	—
811	#479	—	5	1	no	—
812	#479	—	5	1	no	—
813	#478	—	5	1	no	—
814	#478	—	5	1	no	—
815	#478	—	5	1	no	—
816	#478	C₂×D₅	1	1	yes	characteristic, complemented
817	#478	C₂×D₅	1	1	yes	characteristic, complemented
818	#477	—	5	1	no	—
819	#476	—	5	1	no	—
820	#467	—	5	1	no	—
821	#467	—	5	1	no	—
822	#466	—	5	1	no	—
823	#466	—	5	1	no	—
824	#466	—	5	1	no	—
825	#466	—	5	1	no	—
826	#465	—	5	1	no	—
827	#465	—	5	1	no	—
828	#465	—	5	1	no	—
829	#465	—	5	1	no	—
830	#465	—	5	1	no	—
831	#465	—	5	1	no	—
832	#464	—	5	1	no	—
833	#464	—	5	1	no	—
834	#464	—	5	1	no	—
835	#464	—	5	1	no	—
836	#464	—	5	1	no	—
837	#463	—	5	1	no	—
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	—	5	1	no	—
846	#463	—	5	1	no	—
847	#463	—	5	1	no	—
848	#463	—	5	1	no	—
849	#463	—	5	1	no	—
850	#463	—	5	1	no	—
851	#463	—	5	1	no	—
852	#463	—	5	1	no	—
853	#463	—	5	1	no	—
854	#463	C₂×D₅	1	1	yes	characteristic, complemented
855	#463	C₂×D₅	1	1	yes	characteristic, complemented
856	#462	—	5	1	no	—
857	#461	—	5	1	no	—
858	#460	—	5	1	no	—
859	#460	—	5	1	no	—
860	#459	—	5	1	no	—
861	#459	—	5	1	no	—
862	#452	—	5	1	no	—
863	#451	—	5	1	no	—
864	#451	—	5	1	no	—
865	#450	—	5	1	no	—
866	#450	—	5	1	no	—
867	#450	—	5	1	no	—
868	#450	C₂×D₅	1	1	yes	characteristic, complemented
869	#449	—	5	1	no	—
870	#449	—	5	1	no	—
871	#449	—	5	1	no	—
872	#449	—	5	1	no	—
873	#449	—	5	1	no	—
874	#448	—	5	1	no	—
875	#448	—	5	1	no	—
876	#447	—	5	1	no	—
877	#447	—	5	1	no	—
878	#447	—	5	1	no	—
879	#447	C₂×D₅	1	1	yes	characteristic
880	C₈×Q₈	—	5	1	no	—
881	C₈×Q₈	—	5	1	no	—
882	C₄×Q₁₆	—	5	1	no	—
883	C₄×SD₁₆	—	5	1	no	—
884	C₄×SD₁₆	—	5	1	no	—
885	C₄×SD₁₆	—	5	1	no	—
886	C₄×SD₁₆	—	5	1	no	—
887	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
888	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
889	C₄×D₈	—	5	1	no	—
890	C₄×D₈	—	5	1	no	—
891	C₄×D₈	—	5	1	no	—
892	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
893	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
894	C₈×D₄	—	5	1	no	—
895	C₈×D₄	—	5	1	no	—
896	C₈×D₄	—	5	1	no	—
897	C₈×D₄	—	5	1	no	—
898	C₈×D₄	—	5	1	no	—
899	C₈×D₄	—	5	1	no	—
900	#431	—	5	1	no	—
901	#431	—	5	1	no	—
902	#431	C₂×D₅	1	1	yes	characteristic, complemented
903	C₂×C₄⋊C₈	—	5	1	no	—
904	C₂×C₄⋊C₈	—	5	1	no	—
905	C₂×C₄⋊C₈	—	5	1	no	—
906	#416	—	5	1	no	—
907	#416	—	5	1	no	—
908	C₂×#103	—	5	1	no	—
909	C₂×#103	—	5	1	no	—
910	C₂×#102	—	5	1	no	—
911	C₂×#102	—	5	1	no	—
912	C₂³×C₅	—	2	1	no	—
913	C₂³×C₅	—	2	1	no	—
914	C₂³×C₅	—	2	1	no	—
915	C₂³×C₅	—	4	2	no	—
916	C₂³×C₅	—	4	2	no	—
917	C₂³×C₅	—	8	1	no	—
918	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
919	C₂²×D₅	—	2	1	no	—
920	C₂²×D₅	—	2	1	no	—
921	C₂²×D₅	—	2	1	no	—
922	C₂²×D₅	—	4	2	no	—
923	C₂²×D₅	—	4	2	no	—
924	C₂²×D₅	—	4	2	no	—
925	C₂²×D₅	—	4	2	no	—
926	C₂²×D₅	—	8	1	no	—
927	C₂²×D₅	—	8	1	no	—
928	C₂²×D₅	—	8	1	no	—
929	C₂²×D₅	—	8	1	no	—
930	C₂²×D₅	—	8	1	no	—
931	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
932	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
933	C₅×Q₈	—	2	1	no	—
934	C₅×Q₈	—	2	1	no	—
935	C₅×D₄	—	2	1	no	—
936	C₅×D₄	—	2	1	no	—
937	C₅×D₄	—	2	1	no	—
938	C₅×D₄	—	2	1	no	—
939	C₅×D₄	—	2	1	no	—
940	C₅×D₄	—	4	2	no	—
941	C₅×D₄	—	4	2	no	—
942	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
943	C₂×C₄×C₅	—	2	2	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	—	2	1	no	—
949	C₂×C₄×C₅	—	2	1	no	—
950	C₂×C₄×C₅	—	2	1	no	—
951	C₂×C₄×C₅	—	4	1	no	—
952	C₂×C₄×C₅	—	4	2	no	—
953	C₂×C₄×C₅	—	4	2	no	—
954	C₂×C₄×C₅	—	8	1	no	—
955	C₂×C₄×C₅	—	8	1	no	—
956	C₂×C₄×C₅	—	8	1	no	—
957	C₂×C₄×C₅	—	8	1	no	—
958	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
959	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
960	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
961	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
962	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
963	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
964	C₂²⋊D₅	—	2	2	no	—
965	C₂²⋊D₅	—	4	2	no	—
966	C₂²⋊D₅	—	4	2	no	—
967	C₂²⋊D₅	—	4	2	no	—
968	C₂²⋊D₅	—	4	2	no	—
969	C₂²⋊D₅	—	4	2	no	—
970	C₂²⋊D₅	—	4	2	no	—
971	C₂²⋊D₅	—	8	1	no	—
972	C₂²⋊D₅	—	8	1	no	—
973	C₂²⋊D₅	—	8	1	no	—
974	C₂²⋊D₅	—	8	1	no	—
975	C₂²⋊D₅	—	8	1	no	—
976	C₂²⋊D₅	#135	1	4	yes	complemented
977	C₂×Dic₅	—	2	1	no	—
978	C₂×Dic₅	—	2	1	no	—
979	C₂×Dic₅	—	2	1	no	—
980	C₂×Dic₅	—	2	1	no	—
981	C₂×Dic₅	—	2	1	no	—
982	C₂×Dic₅	—	4	2	no	—
983	C₂×Dic₅	—	4	2	no	—
984	C₂×Dic₅	—	8	1	no	—
985	C₂×Dic₅	—	8	1	no	—
986	C₂×Dic₅	—	8	1	no	—
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	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
991	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
992	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
993	D₂₀	—	2	2	no	—
994	D₂₀	—	2	1	no	—
995	D₂₀	—	2	1	no	—
996	D₂₀	—	2	1	no	—
997	D₂₀	—	2	1	no	—
998	D₂₀	—	2	1	no	—
999	D₂₀	—	2	1	no	—
1000	D₂₀	—	4	2	no	—
1001	D₂₀	—	8	1	no	—
1002	D₂₀	—	8	1	no	—
1003	D₂₀	—	8	1	no	—
1004	D₂₀	—	8	1	no	—
1005	C₄×D₅	—	2	2	no	—
1006	C₄×D₅	—	2	1	no	—
1007	C₄×D₅	—	2	1	no	—
1008	C₄×D₅	—	2	1	no	—
1009	C₄×D₅	—	2	1	no	—
1010	C₄×D₅	—	2	2	no	—
1011	C₄×D₅	—	4	1	no	—
1012	C₄×D₅	—	4	1	no	—
1013	C₄×D₅	—	4	2	no	—
1014	C₄×D₅	—	4	2	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	Dic₁₀	—	2	2	no	—
1021	Dic₁₀	—	2	1	no	—
1022	Dic₁₀	—	2	1	no	—
1023	Dic₁₀	—	2	1	no	—
1024	Dic₁₀	—	2	1	no	—
1025	Dic₁₀	—	2	1	no	—
1026	Dic₁₀	—	2	1	no	—
1027	Dic₁₀	—	8	1	no	—
1028	Dic₁₀	—	8	1	no	—
1029	Dic₁₀	—	8	1	no	—
1030	C₅×C₈	—	2	1	no	—
1031	C₅×C₈	—	2	1	no	—
1032	C₅×C₈	—	2	1	no	—
1033	C₅×C₈	—	2	1	no	—
1034	#168	—	2	1	no	—
1035	#168	—	2	1	no	—
1036	#168	—	2	1	no	—
1037	#168	—	2	1	no	—
1038	C₂×#41	—	5	1	no	—
1039	C₂×#41	—	5	1	no	—
1040	C₂×#41	—	5	1	no	—
1041	C₂×#41	—	5	1	no	—
1042	C₂×#41	—	10	1	no	—
1043	C₂²×Q₈	—	5	1	no	—
1044	C₂²×Q₈	—	5	1	no	—
1045	C₂²×D₄	—	5	1	no	—
1046	C₂²×D₄	—	5	1	no	—
1047	C₂²×D₄	—	5	1	no	—
1048	C₂²×D₄	—	10	1	no	—
1049	C₂²×D₄	—	10	1	no	—
1050	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1051	C₂³×C₄	—	2	1	no	—
1052	C₂³×C₄	—	10	1	no	—
1053	#135	—	20	2	no	—
1054	#135	—	20	2	no	—
1055	C₂×Q₁₆	—	5	1	no	—
1056	C₂×Q₁₆	—	5	1	no	—
1057	C₂×Q₁₆	—	5	1	no	—
1058	C₂×SD₁₆	—	5	1	no	—
1059	C₂×SD₁₆	—	5	1	no	—
1060	C₂×SD₁₆	—	5	1	no	—
1061	C₂×SD₁₆	—	5	1	no	—
1062	C₂×SD₁₆	—	5	1	no	—
1063	C₂×SD₁₆	—	5	1	no	—
1064	C₂×SD₁₆	—	5	1	no	—
1065	C₂×SD₁₆	—	5	1	no	—
1066	C₂×SD₁₆	—	5	1	no	—
1067	C₂×SD₁₆	—	5	1	no	—
1068	C₂×SD₁₆	—	20	2	no	—
1069	C₂×SD₁₆	—	20	2	no	—
1070	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1072	C₂×D₈	—	5	1	no	—
1073	C₂×D₈	—	5	1	no	—
1074	C₂×D₈	—	5	1	no	—
1075	C₂×D₈	—	5	1	no	—
1076	C₂×D₈	—	5	1	no	—
1077	C₂×D₈	—	5	1	no	—
1078	C₂×D₈	—	5	1	no	—
1079	C₂×D₈	—	20	2	no	—
1080	C₂×D₈	—	20	2	no	—
1081	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1082	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1083	C₂²×C₈	—	5	1	no	—
1084	C₂²×C₈	—	5	1	no	—
1085	C₂²×C₈	—	5	1	no	—
1086	C₂²×C₈	—	5	1	no	—
1087	C₂²×C₈	—	5	1	no	—
1088	C₂²×C₈	—	5	1	no	—
1089	C₄⋊Q₈	—	5	1	no	—
1090	C₄⋊Q₈	—	5	1	no	—
1091	C₄⋊Q₈	—	10	1	no	—
1092	#127	—	5	1	no	—
1093	#127	—	5	1	no	—
1094	#126	—	2	1	no	—
1095	#126	—	10	1	no	—
1096	#126	—	10	1	no	—
1097	#126	—	10	1	no	—
1098	#126	—	10	1	no	—
1099	#126	—	10	1	no	—
1100	#126	—	10	1	no	—
1101	#126	—	10	1	no	—
1102	#126	—	10	1	no	—
1103	#125	—	5	1	no	—
1104	#125	—	5	1	no	—
1105	#125	—	10	1	no	—
1106	#125	C₂²×D₅	1	1	yes	characteristic
1107	#124	—	5	1	no	—
1108	#124	—	5	1	no	—
1109	#124	—	5	1	no	—
1110	#124	—	5	1	no	—
1111	#124	—	5	1	no	—
1112	#124	—	5	1	no	—
1113	#124	—	5	1	no	—
1114	#124	—	5	1	no	—
1115	#124	—	10	1	no	—
1116	#124	—	10	1	no	—
1117	#124	—	10	1	no	—
1118	#124	—	10	1	no	—
1119	#124	—	10	1	no	—
1120	#124	—	10	1	no	—
1121	#124	—	10	1	no	—
1122	#124	—	10	1	no	—
1123	#124	—	10	1	no	—
1124	#124	C₂²×D₅	1	1	yes	characteristic
1125	#123	—	2	1	no	—
1126	#123	—	10	1	no	—
1127	#123	—	10	1	no	—
1128	#123	—	10	1	no	—
1129	#123	—	10	1	no	—
1130	#123	—	10	1	no	—
1131	#123	—	10	1	no	—
1132	#123	—	10	1	no	—
1133	#123	—	10	1	no	—
1134	#123	—	10	1	no	—
1135	#123	—	10	1	no	—
1136	#123	—	10	1	no	—
1137	#123	—	10	1	no	—
1138	#123	—	10	1	no	—
1139	#123	—	10	1	no	—
1140	C₂²⋊Q₈	—	5	1	no	—
1141	C₂²⋊Q₈	—	5	1	no	—
1142	C₂²⋊Q₈	—	5	1	no	—
1143	C₂²⋊Q₈	—	5	1	no	—
1144	C₂²⋊Q₈	—	10	1	no	—
1145	C₂²⋊Q₈	—	10	1	no	—
1146	C₂²⋊Q₈	—	10	1	no	—
1147	C₂²⋊Q₈	—	10	1	no	—
1148	C₂²⋊Q₈	—	10	1	no	—
1149	C₂²⋊Q₈	—	10	1	no	—
1150	C₂²⋊Q₈	—	10	1	no	—
1151	C₂²⋊Q₈	—	10	1	no	—
1152	C₂²⋊Q₈	—	10	1	no	—
1153	C₂²⋊Q₈	—	10	1	no	—
1154	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1155	#121	—	5	1	no	—
1156	#121	—	5	1	no	—
1157	#121	—	5	1	no	—
1158	#121	—	5	1	no	—
1159	#121	—	5	1	no	—
1160	#121	—	5	1	no	—
1161	#121	—	10	1	no	—
1162	#121	—	10	1	no	—
1163	#121	—	10	1	no	—
1164	#121	—	10	1	no	—
1165	#121	—	10	1	no	—
1166	#121	—	10	1	no	—
1167	#121	—	10	1	no	—
1168	#121	—	10	1	no	—
1169	#121	—	10	1	no	—
1170	#121	—	10	1	no	—
1171	#121	—	10	1	no	—
1172	#121	—	10	1	no	—
1173	#121	—	10	1	no	—
1174	#121	C₂²×D₅	1	1	yes	characteristic
1175	#120	—	10	1	no	—
1176	#120	—	10	1	no	—
1177	#120	—	10	1	no	—
1178	#120	—	10	1	no	—
1179	#120	—	10	1	no	—
1180	#120	—	10	1	no	—
1181	#120	—	10	1	no	—
1182	#120	—	10	1	no	—
1183	C₄×Q₈	—	5	1	no	—
1184	C₄×Q₈	—	5	1	no	—
1185	C₄×Q₈	—	5	1	no	—
1186	C₄×Q₈	—	5	1	no	—
1187	C₄×Q₈	—	5	1	no	—
1188	C₄×Q₈	—	5	1	no	—
1189	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	5	1	no	—
1194	C₄×D₄	—	5	1	no	—
1195	C₄×D₄	—	5	1	no	—
1196	C₄×D₄	—	5	1	no	—
1197	C₄×D₄	—	5	1	no	—
1198	C₄×D₄	—	5	1	no	—
1199	C₄×D₄	—	5	1	no	—
1200	C₄×D₄	—	5	1	no	—
1201	C₄×D₄	—	5	1	no	—
1202	C₄×D₄	—	5	1	no	—
1203	C₄×D₄	—	5	1	no	—
1204	C₄×D₄	—	5	1	no	—
1205	C₄×D₄	—	10	1	no	—
1206	C₄×D₄	—	10	1	no	—
1207	C₄×D₄	—	10	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	—	10	1	no	—
1210	C₄×D₄	—	10	1	no	—
1211	C₄×D₄	—	10	1	no	—
1212	C₄×D₄	—	10	1	no	—
1213	C₄×D₄	—	10	1	no	—
1214	C₄×D₄	—	10	1	no	—
1215	C₄×D₄	—	10	1	no	—
1216	C₄×D₄	—	10	1	no	—
1217	C₄×D₄	—	10	1	no	—
1218	C₄×D₄	—	10	1	no	—
1219	C₄×D₄	—	10	1	no	—
1220	C₄×D₄	—	10	1	no	—
1221	C₄×D₄	—	10	1	no	—
1222	C₄×D₄	—	10	1	no	—
1223	C₄×D₄	—	10	1	no	—
1224	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1225	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1226	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1227	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1228	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1229	#117	—	2	1	no	—
1230	#117	—	5	1	no	—
1231	#117	—	5	1	no	—
1232	#117	—	5	1	no	—
1233	#117	—	5	1	no	—
1234	#117	—	10	1	no	—
1235	#117	—	10	1	no	—
1236	#117	—	10	1	no	—
1237	#117	—	10	1	no	—
1238	#117	—	10	1	no	—
1239	#117	—	10	1	no	—
1240	C₂×C₄⋊C₄	—	5	1	no	—
1241	C₂×C₄⋊C₄	—	10	1	no	—
1242	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1243	C₂×C₂²⋊C₄	—	2	1	no	—
1244	C₂×C₂²⋊C₄	—	10	1	no	—
1245	C₂×C₂²⋊C₄	—	10	1	no	—
1246	C₂×C₂²⋊C₄	—	10	1	no	—
1247	C₂×C₂²⋊C₄	—	10	1	no	—
1248	C₂×C₂²⋊C₄	—	10	1	no	—
1249	C₂×C₂²⋊C₄	—	10	1	no	—
1250	C₂×C₂²⋊C₄	—	10	1	no	—
1251	C₂×C₂²⋊C₄	—	10	1	no	—
1252	C₂×C₂²⋊C₄	—	10	1	no	—
1253	C₂×C₄²	—	5	1	no	—
1254	C₂×C₄²	—	5	1	no	—
1255	C₂×C₄²	—	10	1	no	—
1256	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1257	#107	—	5	1	no	—
1258	#107	—	5	1	no	—
1259	#107	C₂²×D₅	1	1	yes	characteristic
1260	#107	C₂²×D₅	1	1	yes	characteristic
1261	#106	—	5	1	no	—
1262	#106	—	5	1	no	—
1263	#106	C₂²×D₅	1	1	yes	characteristic
1264	#106	C₂²×D₅	1	1	yes	characteristic
1265	C₄⋊C₈	—	5	1	no	—
1266	C₄⋊C₈	—	5	1	no	—
1267	C₄⋊C₈	—	5	1	no	—
1268	C₄⋊C₈	—	5	1	no	—
1269	C₄⋊C₈	—	5	1	no	—
1270	C₄⋊C₈	—	5	1	no	—
1271	C₄⋊C₈	—	5	1	no	—
1272	C₄⋊C₈	—	5	1	no	—
1273	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1274	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1275	#103	—	5	1	no	—
1276	#103	—	5	1	no	—
1277	#103	—	5	1	no	—
1278	#103	—	5	1	no	—
1279	#103	—	5	1	no	—
1280	#103	—	5	1	no	—
1281	#103	—	5	1	no	—
1282	#103	—	5	1	no	—
1283	#103	—	5	1	no	—
1284	#103	—	5	1	no	—
1285	#103	—	5	1	no	—
1286	#103	—	5	1	no	—
1287	#103	C₂²×D₅	1	1	yes	characteristic
1288	#103	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1295	#102	—	5	1	no	—
1296	#102	—	5	1	no	—
1297	#102	—	5	1	no	—
1298	#102	—	5	1	no	—
1299	#102	—	5	1	no	—
1300	#102	—	5	1	no	—
1301	#102	C₂²×D₅	1	1	yes	characteristic
1302	#102	C₂²×D₅	1	1	yes	characteristic
1303	#102	C₂²×D₅	1	1	yes	characteristic
1304	#102	C₂²×D₅	1	1	yes	characteristic
1305	#102	C₂²×D₅	1	1	yes	characteristic
1306	#102	C₂²×D₅	1	1	yes	characteristic
1307	C₂²⋊C₈	—	5	1	no	—
1308	C₂²⋊C₈	—	5	1	no	—
1309	C₂²⋊C₈	—	5	1	no	—
1310	C₂²⋊C₈	—	5	1	no	—
1311	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1313	C₄×C₈	—	5	1	no	—
1314	C₄×C₈	—	5	1	no	—
1315	C₄×C₈	—	5	1	no	—
1316	C₄×C₈	—	5	1	no	—
1317	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1318	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1319	C₂²×C₅	—	2	1	no	—
1320	C₂²×C₅	—	2	1	no	—
1321	C₂²×C₅	—	2	2	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	—	4	1	no	—
1329	C₂²×C₅	—	4	1	no	—
1330	C₂²×C₅	—	8	4	no	—
1331	C₂²×C₅	C₂×#135	1	2	yes	—
1332	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1333	C₂×D₅	—	2	1	no	—
1334	C₂×D₅	—	2	1	no	—
1335	C₂×D₅	—	2	1	no	—
1336	C₂×D₅	—	2	1	no	—
1337	C₂×D₅	—	2	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	—	4	1	no	—
1344	C₂×D₅	—	4	1	no	—
1345	C₂×D₅	—	4	1	no	—
1346	C₂×D₅	—	4	1	no	—
1347	C₂×D₅	—	8	4	no	—
1348	C₂×D₅	—	16	2	no	—
1349	C₂×D₅	—	16	2	no	—
1350	C₂×D₅	C₂×#135	1	2	yes	—
1351	C₄×C₅	—	2	1	no	—
1352	C₄×C₅	—	2	1	no	—
1353	C₄×C₅	—	2	1	no	—
1354	C₄×C₅	—	2	1	no	—
1355	C₄×C₅	—	2	1	no	—
1356	C₄×C₅	—	4	1	no	—
1357	C₄×C₅	—	4	1	no	—
1358	C₄×C₅	—	4	1	no	—
1359	C₄×C₅	—	4	1	no	—
1360	C₄×C₅	—	4	1	no	—
1361	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1362	C₄×C₅	#585	1	1	yes	characteristic
1363	Dic₅	—	2	1	no	—
1364	Dic₅	—	2	1	no	—
1365	Dic₅	—	2	1	no	—
1366	Dic₅	—	2	1	no	—
1367	Dic₅	—	2	1	no	—
1368	Dic₅	—	4	1	no	—
1369	Dic₅	—	4	1	no	—
1370	Dic₅	—	4	1	no	—
1371	Dic₅	—	4	1	no	—
1372	Dic₅	—	4	1	no	—
1373	Dic₅	C₂×#135	1	2	yes	—
1374	C₂⁴	—	2	1	no	—
1375	C₂⁴	—	10	1	no	—
1376	C₂⁴	—	10	1	no	—
1377	C₂⁴	—	10	1	no	—
1378	#41	—	10	4	no	—
1379	#41	—	10	2	no	—
1380	#41	—	20	1	no	—
1381	#41	—	20	1	no	—
1382	#41	—	20	1	no	—
1383	#41	—	20	1	no	—
1384	#41	—	20	1	no	—
1385	#41	—	40	2	no	—
1386	C₂×Q₈	—	5	1	no	—
1387	C₂×Q₈	—	5	1	no	—
1388	C₂×Q₈	—	5	1	no	—
1389	C₂×Q₈	—	5	1	no	—
1390	C₂×Q₈	—	10	1	no	—
1391	C₂×Q₈	—	10	1	no	—
1392	C₂×Q₈	—	10	1	no	—
1393	C₂×Q₈	—	20	1	no	—
1394	C₂×Q₈	—	20	1	no	—
1395	C₂×Q₈	—	20	1	no	—
1396	C₂×Q₈	—	20	1	no	—
1397	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1398	C₂×D₄	—	2	2	no	—
1399	C₂×D₄	—	2	1	no	—
1400	C₂×D₄	—	2	1	no	—
1401	C₂×D₄	—	4	1	no	—
1402	C₂×D₄	—	5	1	no	—
1403	C₂×D₄	—	5	1	no	—
1404	C₂×D₄	—	5	1	no	—
1405	C₂×D₄	—	5	1	no	—
1406	C₂×D₄	—	5	1	no	—
1407	C₂×D₄	—	5	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	1	no	—
1413	C₂×D₄	—	10	1	no	—
1414	C₂×D₄	—	10	1	no	—
1415	C₂×D₄	—	10	1	no	—
1416	C₂×D₄	—	10	1	no	—
1417	C₂×D₄	—	10	1	no	—
1418	C₂×D₄	—	10	2	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	—	10	1	no	—
1424	C₂×D₄	—	10	1	no	—
1425	C₂×D₄	—	20	1	no	—
1426	C₂×D₄	—	20	1	no	—
1427	C₂×D₄	—	20	1	no	—
1428	C₂×D₄	—	20	1	no	—
1429	C₂×D₄	—	20	1	no	—
1430	C₂×D₄	—	20	4	no	—
1431	C₂×D₄	—	20	4	no	—
1432	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1433	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1434	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	5	1	no	—
1442	C₂²×C₄	—	5	1	no	—
1443	C₂²×C₄	—	5	1	no	—
1444	C₂²×C₄	—	5	1	no	—
1445	C₂²×C₄	—	5	1	no	—
1446	C₂²×C₄	—	5	1	no	—
1447	C₂²×C₄	—	8	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	1	no	—
1454	C₂²×C₄	—	10	1	no	—
1455	C₂²×C₄	—	10	1	no	—
1456	C₂²×C₄	—	10	1	no	—
1457	C₂²×C₄	—	10	1	no	—
1458	C₂²×C₄	—	10	1	no	—
1459	C₂²×C₄	—	10	1	no	—
1460	C₂²×C₄	—	40	2	no	—
1461	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1462	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1463	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1464	Q₁₆	—	20	1	no	—
1465	Q₁₆	—	20	1	no	—
1466	Q₁₆	—	20	1	no	—
1467	SD₁₆	—	2	2	no	—
1468	SD₁₆	—	4	1	no	—
1469	SD₁₆	—	10	2	no	—
1470	SD₁₆	—	10	2	no	—
1471	SD₁₆	—	20	1	no	—
1472	SD₁₆	—	20	1	no	—
1473	SD₁₆	—	20	1	no	—
1474	SD₁₆	—	20	1	no	—
1475	SD₁₆	—	20	1	no	—
1476	SD₁₆	—	20	1	no	—
1477	SD₁₆	—	20	1	no	—
1478	SD₁₆	—	20	1	no	—
1479	D₈	—	2	2	no	—
1480	D₈	—	4	1	no	—
1481	D₈	—	10	2	no	—
1482	D₈	—	10	2	no	—
1483	D₈	—	20	1	no	—
1484	D₈	—	20	1	no	—
1485	D₈	—	20	1	no	—
1486	D₈	—	20	1	no	—
1487	D₈	—	20	1	no	—
1488	C₂×C₈	—	5	1	no	—
1489	C₂×C₈	—	5	1	no	—
1490	C₂×C₈	—	5	1	no	—
1491	C₂×C₈	—	5	1	no	—
1492	C₂×C₈	—	20	1	no	—
1493	C₂×C₈	—	20	1	no	—
1494	C₂×C₈	—	20	1	no	—
1495	C₂×C₈	—	20	1	no	—
1496	C₂×C₈	—	20	1	no	—
1497	C₂×C₈	—	20	1	no	—
1498	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1499	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1500	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1501	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	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	—	5	1	no	—
1514	C₄⋊C₄	—	5	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	—	10	1	no	—
1529	C₄⋊C₄	—	10	1	no	—
1530	C₄⋊C₄	—	10	1	no	—
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	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	5	1	no	—
1545	C₂²⋊C₄	—	5	1	no	—
1546	C₂²⋊C₄	—	5	1	no	—
1547	C₂²⋊C₄	—	5	1	no	—
1548	C₂²⋊C₄	—	5	1	no	—
1549	C₂²⋊C₄	—	5	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	—	10	1	no	—
1569	C₂²⋊C₄	—	10	1	no	—
1570	C₂²⋊C₄	—	10	1	no	—
1571	C₂²⋊C₄	—	10	1	no	—
1572	C₂²⋊C₄	—	10	1	no	—
1573	C₂²⋊C₄	—	10	1	no	—
1574	C₂²⋊C₄	—	10	1	no	—
1575	C₂²⋊C₄	—	10	1	no	—
1576	C₂²⋊C₄	—	10	1	no	—
1577	C₂²⋊C₄	—	10	1	no	—
1578	C₂²⋊C₄	—	10	1	no	—
1579	C₂²⋊C₄	—	10	1	no	—
1580	C₂²⋊C₄	—	10	1	no	—
1581	C₂²⋊C₄	—	10	1	no	—
1582	C₂²⋊C₄	—	10	1	no	—
1583	C₄²	—	2	1	no	—
1584	C₄²	—	5	1	no	—
1585	C₄²	—	5	1	no	—
1586	C₄²	—	5	1	no	—
1587	C₄²	—	5	1	no	—
1588	C₄²	—	5	1	no	—
1589	C₄²	—	5	1	no	—
1590	C₄²	—	10	1	no	—
1591	C₄²	—	10	1	no	—
1592	C₄²	—	10	1	no	—
1593	C₄²	—	10	1	no	—
1594	C₄²	—	10	1	no	—
1595	C₄²	D₄×D₅	1	1	yes	characteristic
1596	C₄²	D₄×D₅	1	1	yes	characteristic
1597	C₄²	C₂³×D₅	1	1	yes	characteristic
1598	C₄²	C₂³×D₅	1	1	yes	characteristic
1599	C₂×C₅	—	2	2	no	—
1600	C₂×C₅	—	4	2	no	—
1601	C₂×C₅	—	8	1	no	—
1602	C₂×C₅	—	8	1	no	—
1603	C₂×C₅	#3488	1	1	yes	characteristic
1604	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1605	C₂×C₅	#3585	1	1	yes	characteristic
1606	D₅	—	2	2	no	—
1607	D₅	—	4	1	no	—
1608	D₅	—	8	1	no	—
1609	D₅	—	8	1	no	—
1610	D₅	—	8	1	no	—
1611	C₂³	—	2	1	no	—
1612	C₂³	—	2	1	no	—
1613	C₂³	—	2	1	no	—
1614	C₂³	—	4	2	no	—
1615	C₂³	—	4	2	no	—
1616	C₂³	—	5	1	no	—
1617	C₂³	—	5	1	no	—
1618	C₂³	—	8	1	no	—
1619	C₂³	—	10	1	no	—
1620	C₂³	—	10	1	no	—
1621	C₂³	—	10	1	no	—
1622	C₂³	—	20	2	no	—
1623	C₂³	—	20	2	no	—
1624	C₂³	—	20	2	no	—
1625	C₂³	—	20	2	no	—
1626	C₂³	—	40	1	no	—
1627	C₂³	—	40	1	no	—
1628	C₂³	—	40	1	no	—
1629	C₂³	—	40	1	no	—
1630	C₂³	—	40	1	no	—
1631	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1632	Q₈	—	2	1	no	—
1633	Q₈	—	2	1	no	—
1634	Q₈	—	10	2	no	—
1635	Q₈	—	10	1	no	—
1636	Q₈	—	10	1	no	—
1637	Q₈	—	10	1	no	—
1638	Q₈	—	10	1	no	—
1639	Q₈	—	10	1	no	—
1640	Q₈	—	10	1	no	—
1641	Q₈	—	40	1	no	—
1642	Q₈	—	40	1	no	—
1643	Q₈	—	40	1	no	—
1644	D₄	—	2	1	no	—
1645	D₄	—	2	1	no	—
1646	D₄	—	2	1	no	—
1647	D₄	—	2	1	no	—
1648	D₄	—	2	1	no	—
1649	D₄	—	4	2	no	—
1650	D₄	—	4	2	no	—
1651	D₄	—	5	4	no	—
1652	D₄	—	10	2	no	—
1653	D₄	—	10	2	no	—
1654	D₄	—	10	1	no	—
1655	D₄	—	10	1	no	—
1656	D₄	—	10	1	no	—
1657	D₄	—	10	1	no	—
1658	D₄	—	10	1	no	—
1659	D₄	—	10	1	no	—
1660	D₄	—	20	2	no	—
1661	D₄	—	20	2	no	—
1662	D₄	—	20	2	no	—
1663	D₄	—	20	2	no	—
1664	D₄	—	20	2	no	—
1665	D₄	—	20	2	no	—
1666	D₄	—	20	2	no	—
1667	D₄	—	40	1	no	—
1668	D₄	—	40	1	no	—
1669	D₄	—	40	1	no	—
1670	D₄	—	40	1	no	—
1671	D₄	—	40	1	no	—
1672	D₄	—	40	1	no	—
1673	D₄	—	40	1	no	—
1674	D₄	—	40	1	no	—
1675	D₄	—	40	1	no	—
1676	D₄	#4149	1	2	yes	—
1677	C₂×C₄	—	2	2	no	—
1678	C₂×C₄	—	2	1	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	4	1	no	—
1686	C₂×C₄	—	4	2	no	—
1687	C₂×C₄	—	4	2	no	—
1688	C₂×C₄	—	5	1	no	—
1689	C₂×C₄	—	5	1	no	—
1690	C₂×C₄	—	5	1	no	—
1691	C₂×C₄	—	5	1	no	—
1692	C₂×C₄	—	5	1	no	—
1693	C₂×C₄	—	5	1	no	—
1694	C₂×C₄	—	8	1	no	—
1695	C₂×C₄	—	8	1	no	—
1696	C₂×C₄	—	8	1	no	—
1697	C₂×C₄	—	8	1	no	—
1698	C₂×C₄	—	10	2	no	—
1699	C₂×C₄	—	10	2	no	—
1700	C₂×C₄	—	10	1	no	—
1701	C₂×C₄	—	10	1	no	—
1702	C₂×C₄	—	10	1	no	—
1703	C₂×C₄	—	10	1	no	—
1704	C₂×C₄	—	10	1	no	—
1705	C₂×C₄	—	10	1	no	—
1706	C₂×C₄	—	10	1	no	—
1707	C₂×C₄	—	10	1	no	—
1708	C₂×C₄	—	10	1	no	—
1709	C₂×C₄	—	20	1	no	—
1710	C₂×C₄	—	20	1	no	—
1711	C₂×C₄	—	20	2	no	—
1712	C₂×C₄	—	20	2	no	—
1713	C₂×C₄	—	20	2	no	—
1714	C₂×C₄	—	20	2	no	—
1715	C₂×C₄	—	40	1	no	—
1716	C₂×C₄	—	40	1	no	—
1717	C₂×C₄	—	40	1	no	—
1718	C₂×C₄	—	40	1	no	—
1719	C₂×C₄	—	40	1	no	—
1720	C₂×C₄	—	40	1	no	—
1721	C₂×C₄	—	40	1	no	—
1722	C₂×C₄	—	40	1	no	—
1723	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1724	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1725	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1726	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1727	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1728	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1729	C₈	—	2	1	no	—
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	2	1	no	—
1733	C₈	—	10	1	no	—
1734	C₈	—	10	1	no	—
1735	C₈	—	10	1	no	—
1736	C₈	—	10	1	no	—
1737	C₅	#61955	1	1	yes	characteristic, complemented, Sylow
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	2	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	4	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	5	2	no	—
1750	C₂²	—	8	4	no	—
1751	C₂²	—	10	1	no	—
1752	C₂²	—	10	1	no	—
1753	C₂²	—	10	1	no	—
1754	C₂²	—	10	1	no	—
1755	C₂²	—	10	1	no	—
1756	C₂²	—	20	1	no	—
1757	C₂²	—	20	1	no	—
1758	C₂²	—	20	1	no	—
1759	C₂²	—	20	1	no	—
1760	C₂²	—	20	1	no	—
1761	C₂²	—	20	1	no	—
1762	C₂²	—	20	1	no	—
1763	C₂²	—	20	1	no	—
1764	C₂²	—	20	1	no	—
1765	C₂²	—	40	4	no	—
1766	C₂²	—	80	2	no	—
1767	C₂²	—	80	2	no	—
1768	C₂²	D₅×#135	1	2	yes	—
1769	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1770	C₄	—	2	1	no	—
1771	C₄	—	2	1	no	—
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	4	1	no	—
1776	C₄	—	4	1	no	—
1777	C₄	—	4	1	no	—
1778	C₄	—	4	1	no	—
1779	C₄	—	4	1	no	—
1780	C₄	—	5	2	no	—
1781	C₄	—	10	1	no	—
1782	C₄	—	10	1	no	—
1783	C₄	—	10	1	no	—
1784	C₄	—	10	1	no	—
1785	C₄	—	10	1	no	—
1786	C₄	—	20	1	no	—
1787	C₄	—	20	1	no	—
1788	C₄	—	20	1	no	—
1789	C₄	—	20	1	no	—
1790	C₄	—	20	1	no	—
1791	C₄	C₂×#4149	1	1	yes	characteristic
1792	C₄	#66283	1	1	yes	characteristic
1793	C₂	—	2	2	no	—
1794	C₂	—	4	2	no	—
1795	C₂	—	8	1	no	—
1796	C₂	—	8	1	no	—
1797	C₂	—	10	2	no	—
1798	C₂	—	20	1	no	—
1799	C₂	—	40	1	no	—
1800	C₂	—	40	1	no	—
1801	C₂	—	40	1	no	—
1802	C₂	#10617942	1	1	yes	characteristic
1803	C₂	C₂×D₅×#135	1	1	yes	characteristic
1804	C₂	#10619093	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×#3105	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3105	D₅
hypocenter	C₅	#61955
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3105

Complements

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

N	H ≅ G/N	type
1. #10618063	C₂	semidirect
2. #10617686	C₂	semidirect
3. C₅×#3105	C₂	semidirect
4. #10614880	C₂	semidirect
5. C₂×#65305	C₂	semidirect
6. #10613221	C₂	semidirect
7. #10613216	C₂	semidirect
8. #10613076	C₂	semidirect
9. #10613073	C₂	semidirect
10. #10612911	C₂	semidirect
11. #10612879	C₂	semidirect
12. #10612872	C₂	semidirect
13. #10612871	C₂	semidirect
14. #10612272	C₂	semidirect
15. #10612271	C₂	semidirect
16. #10612264	C₂	semidirect
17. D₅×#463	C₂	semidirect
18. #10611902	C₂	semidirect
19. #10611899	C₂	semidirect
20. #10611758	C₂	semidirect
21. #10611755	C₂	semidirect
22. #10611410	C₂	semidirect
23. #10611405	C₂	semidirect
24. #10611370	C₂	semidirect
25. #10611351	C₂	semidirect
26. #10611340	C₂	semidirect
27. #10611337	C₂	semidirect
28. #10611311	C₂	semidirect
29. #10611300	C₂	semidirect
30. #10611038	C₂	semidirect
31. #10611022	C₂	semidirect
32. C₅×#529	C₂²	semidirect
33. C₂×C₄×C₅×D₄	C₂²	semidirect
34. #66140	C₂²	semidirect
36. C₂²×#687	C₂²	semidirect
40. C₂×#4062	C₂²	semidirect
41. C₂×D₅×SD₁₆	C₂²	semidirect
42. C₂×#4058	C₂²	semidirect
46. #66025	C₂²	semidirect
47. #66025	C₂²	semidirect
48. D₅×#124	C₂²	semidirect
49. #66002	C₂²	semidirect
53. #65964	C₂²	semidirect
55. #65932	C₂²	semidirect
56. #65910	C₂²	semidirect
57. #65902	C₂²	semidirect
59. #65893	C₂²	semidirect
60. #65893	C₂²	semidirect
61. #65892	C₂²	semidirect
62. #65891	C₂²	semidirect
64. #65888	C₂²	semidirect
65. #65888	C₂²	semidirect
66. #65882	C₂²	semidirect
69. C₄×D₄×D₅	C₂²	semidirect
71. #65873	C₂²	semidirect
73. C₄×#711	C₂²	semidirect
76. #65848	C₂²	semidirect
80. #65813	C₂²	semidirect
81. C₂×#4021	C₂²	semidirect
83. C₅×#484	C₂²	semidirect
84. C₅×#481	C₂²	semidirect
85. C₅×#478	C₂²	semidirect
86. C₅×#478	C₂²	semidirect
87. C₅×#463	C₂²	semidirect
88. C₅×#463	C₂²	semidirect
89. C₅×#450	C₂²	semidirect
91. C₄×C₅×SD₁₆	C₂²	semidirect
92. C₄×C₅×SD₁₆	C₂²	semidirect
93. C₄×C₅×D₈	C₂²	semidirect
94. C₄×C₅×D₈	C₂²	semidirect
95. C₅×#431	C₂²	semidirect
96. #65464	C₂²	semidirect
97. #65461	C₂²	semidirect
98. #65459	C₂²	semidirect
99. #65457	C₂²	semidirect
101. #65451	C₂²	semidirect
102. #65447	C₂²	semidirect
104. #65444	C₂²	semidirect
105. #65442	C₂²	semidirect
108. #65355	C₂²	semidirect
109. #65352	C₂²	semidirect
110. #65346	C₂²	semidirect
111. #65343	C₂²	semidirect
112. #65340	C₂²	semidirect
113. #65337	C₂²	semidirect
114. #65330	C₂²	semidirect
116. #65317	C₂²	semidirect
117. #65311	C₂²	semidirect
120. #65305	C₂²	semidirect
121. #65305	C₂²	semidirect
122. #65305	C₂²	semidirect
123. #65305	C₂²	semidirect
124. #65305	C₂²	semidirect
125. #65305	C₂²	semidirect
126. #65305	C₂²	semidirect
127. #65298	C₂²	semidirect
128. C₂×#3942	C₂²	semidirect
129. C₂×#3941	C₂²	semidirect
130. C₂×C₄⋊#168	C₂²	semidirect
131. #65180	C₂²	semidirect
132. #65176	C₂²	semidirect
133. #65174	C₂²	semidirect
134. #65173	C₂²	semidirect
135. #65172	C₂²	semidirect
136. #65164	C₂²	semidirect
137. #65162	C₂²	semidirect
138. #65161	C₂²	semidirect
139. #65159	C₂²	semidirect
140. #65156	C₂²	semidirect
141. #65153	C₂²	semidirect
142. #65153	C₂²	semidirect
143. #65152	C₂²	semidirect
144. #65146	C₂²	semidirect
145. #65141	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65134	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65133	C₂²	semidirect
150. #65133	C₂²	semidirect
151. #65122	C₂²	semidirect
152. #65122	C₂²	semidirect
153. D₅×C₄⋊C₈	C₂²	semidirect
154. D₅×C₄⋊C₈	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65100	C₂²	semidirect
157. #65097	C₂²	semidirect
158. #65093	C₂²	semidirect
159. D₅×#103	C₂²	semidirect
160. #65089	C₂²	semidirect
161. #65082	C₂²	semidirect
162. #65081	C₂²	semidirect
163. #65076	C₂²	semidirect
164. #65076	C₂²	semidirect
166. #65072	C₂²	semidirect
168. #65070	C₂²	semidirect
169. #65067	C₂²	semidirect
170. #65067	C₂²	semidirect
171. #65065	C₂²	semidirect
172. #65065	C₂²	semidirect
174. #65064	C₂²	semidirect
176. #65061	C₂²	semidirect
177. D₅×#102	C₂²	semidirect
178. #65057	C₂²	semidirect
179. #65056	C₂²	semidirect
180. #65051	C₂²	semidirect
181. #65051	C₂²	semidirect
182. #65049	C₂²	semidirect
183. #65047	C₂²	semidirect
184. #65047	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65028	C₂²	semidirect
188. #65027	C₂²	semidirect
190. #65020	C₂²	semidirect
193. #65014	C₂²	semidirect
194. #65014	C₂²	semidirect
195. #64986	C₂²	semidirect
196. #64986	C₂²	semidirect
197. #64985	C₂²	semidirect
198. #64985	C₂²	semidirect
199. C₈×D₂₀	C₂²	semidirect
200. C₈×D₂₀	C₂²	semidirect
201. C₈×Dic₁₀	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
510. #3105	D₅	semidirect
781. #529	C₂×D₅	semidirect
791. C₂×C₄×D₄	C₂×D₅	semidirect
806. #484	C₂×D₅	semidirect
809. #481	C₂×D₅	semidirect
816. #478	C₂×D₅	semidirect
817. #478	C₂×D₅	semidirect
854. #463	C₂×D₅	semidirect
855. #463	C₂×D₅	semidirect
868. #450	C₂×D₅	semidirect
887. C₄×SD₁₆	C₂×D₅	semidirect
888. C₄×SD₁₆	C₂×D₅	semidirect
892. C₄×D₈	C₂×D₅	semidirect
893. C₄×D₈	C₂×D₅	semidirect
902. #431	C₂×D₅	semidirect
976. C₂²⋊D₅	#135	semidirect
1737. C₅	#61955	semidirect

Maximal subgroups

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

subgroup	index
#10618063	2
#10617686	2
C₅×#3105	2
#10614880	2
C₂×#65305	2
#10613221	2
#10613216	2
#10613076	2
#10613073	2
#10612911	2
#10612879	2
#10612872	2
#10612871	2
#10612272	2
#10612271	2
#10612264	2
D₅×#463	2
#10611902	2
#10611899	2
#10611758	2
#10611755	2
#10611410	2
#10611405	2
#10611370	2
#10611351	2
#10611340	2
#10611337	2
#10611311	2
#10611300	2
#10611038	2
#10611022	2
#61955	5