Subgroups — #12967397

Order 1280.

2192 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618020	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×D₅×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3102	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614871	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614259	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613246	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613224	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613102	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613080	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612960	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612936	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612896	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612872	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612328	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612300	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612264	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612236	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611957	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611944	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611813	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611800	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611453	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#4065	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611384	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611382	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#4062	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#4062	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611321	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#4058	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611030	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#431	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₅×#529	C₂²	1	1	yes	characteristic, complemented
34	C₄×C₅×#41	C₂²	1	1	yes	characteristic
35	#41×Dic₅	C₂²	1	1	yes	characteristic
36	C₂×#4065	C₂²	1	1	yes	characteristic
37	C₂×#4062	C₂²	1	1	yes	characteristic
38	C₂×#4062	C₂²	1	1	yes	characteristic
39	C₂×#4058	C₂²	1	1	yes	characteristic
40	#66040	—	2	1	no	—
41	#66040	—	2	1	no	—
42	#66025	C₂²	1	1	yes	characteristic
43	#66022	C₂²	1	1	yes	characteristic, complemented
44	#66014	C₂²	1	1	yes	characteristic
45	#66002	C₂²	1	1	yes	characteristic, complemented
46	#65990	—	2	1	no	—
47	#65983	—	2	1	no	—
48	#65961	C₂²	1	1	yes	characteristic
49	#65956	C₂²	1	1	yes	characteristic, complemented
50	#65940	C₂²	1	1	yes	characteristic
51	#65930	C₂²	1	1	yes	characteristic, complemented
52	#65912	C₂²	1	1	yes	characteristic
53	C₄×#713	C₂²	1	1	yes	characteristic
54	C₄×#713	C₂²	1	1	yes	characteristic
55	C₄×#713	C₂²	1	1	yes	characteristic, complemented
56	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
57	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
58	#65882	C₂²	1	1	yes	characteristic
59	#65881	—	2	1	no	—
60	C₄×D₄×D₅	—	2	1	no	—
61	C₄×D₄×D₅	—	2	1	no	—
62	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
63	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
64	C₄×#711	—	2	1	no	—
65	C₄×#711	—	2	1	no	—
66	C₄×#711	—	2	1	no	—
67	C₄×#711	C₂²	1	1	yes	characteristic
68	C₄×#711	C₂²	1	1	yes	characteristic
69	C₄×#711	C₂²	1	1	yes	characteristic, complemented
70	#65862	—	2	1	no	—
71	#65856	—	2	1	no	—
72	#65856	—	2	1	no	—
73	#65856	C₂²	1	1	yes	characteristic
74	D₅×#117	—	2	1	no	—
75	D₅×#117	C₂²	1	1	yes	characteristic
76	#65813	C₂²	1	1	yes	characteristic, complemented
77	C₄×#709	—	2	1	no	—
78	C₄×#709	C₂²	1	1	yes	characteristic
79	C₂×C₄²×D₅	—	2	1	no	—
80	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
81	C₅×#485	C₂²	1	1	yes	characteristic, complemented
82	C₅×#482	C₂²	1	1	yes	characteristic, complemented
83	C₅×#479	C₂²	1	1	yes	characteristic, complemented
84	C₅×#478	C₂²	1	1	yes	characteristic, complemented
85	C₅×#464	C₂²	1	1	yes	characteristic, complemented
86	C₅×#463	C₂²	1	1	yes	characteristic, complemented
87	C₅×#452	C₂²	1	1	yes	characteristic
88	C₅×#449	C₂²	1	1	yes	characteristic
89	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
93	C₅×#431	C₂²	1	1	yes	characteristic, complemented
94	#65528	C₂²	1	1	yes	characteristic
95	#65527	C₂²	1	1	yes	characteristic
96	#65475	C₂²	1	1	yes	characteristic
97	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
98	#65471	C₂²	1	1	yes	characteristic, complemented
99	#65459	C₂²	1	1	yes	characteristic
100	#65458	C₂²	1	1	yes	characteristic
101	#65452	C₂²	1	1	yes	characteristic, complemented
102	#65451	C₂²	1	1	yes	characteristic, complemented
103	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
104	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
105	#65445	C₂²	1	1	yes	characteristic
106	#65439	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#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	#65336	C₂²	1	1	yes	characteristic
113	#65334	C₂²	1	1	yes	characteristic, complemented
114	#65326	C₂²	1	1	yes	characteristic
115	#65324	C₂²	1	1	yes	characteristic, complemented
116	C₄×#689	C₂²	1	1	yes	characteristic, complemented
117	C₄×#689	C₂²	1	1	yes	characteristic, complemented
118	#65317	C₂²	1	1	yes	characteristic, complemented
119	C₄×#688	C₂²	1	1	yes	characteristic, complemented
120	C₄×#688	C₂²	1	1	yes	characteristic, complemented
121	#65311	C₂²	1	1	yes	characteristic, complemented
122	C₄×#687	C₂²	1	1	yes	characteristic, complemented
123	C₄×#687	C₂²	1	1	yes	characteristic, complemented
124	#65305	C₂²	1	1	yes	characteristic, complemented
125	C₄×#686	C₂²	1	1	yes	characteristic, complemented
126	C₄×#686	C₂²	1	1	yes	characteristic, complemented
127	#65298	C₂²	1	1	yes	characteristic, complemented
128	#65292	C₂²	1	1	yes	characteristic, complemented
129	#65285	C₂²	1	1	yes	characteristic, complemented
130	#65214	C₂²	1	1	yes	characteristic, complemented
131	#65179	C₂²	1	1	yes	characteristic, complemented
132	#65173	C₂²	1	1	yes	characteristic
133	#65171	C₂²	1	1	yes	characteristic
134	#65169	C₂²	1	1	yes	characteristic, complemented
135	#65169	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	#65152	C₂²	1	1	yes	characteristic
141	#65151	C₂²	1	1	yes	characteristic
142	#65149	C₂²	1	1	yes	characteristic, complemented
143	#65149	C₂²	1	1	yes	characteristic, complemented
144	#65143	C₂²	1	1	yes	characteristic, complemented
145	#65141	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65136	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65133	C₂²	1	1	yes	characteristic, complemented
150	#65122	C₂²	1	1	yes	characteristic
151	#65122	C₂²	1	1	yes	characteristic
152	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
153	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
154	#65118	C₂²	1	1	yes	characteristic, complemented
155	#65107	C₂²	1	1	yes	characteristic, complemented
156	#65098	C₂²	1	1	yes	characteristic
157	#65097	C₂²	1	1	yes	characteristic
158	#65095	C₂²	1	1	yes	characteristic
159	#65094	C₂²	1	1	yes	characteristic
160	#65093	C₂²	1	1	yes	characteristic
161	#65093	C₂²	1	1	yes	characteristic
162	#65093	C₂²	1	1	yes	characteristic, complemented
163	#65093	C₂²	1	1	yes	characteristic, complemented
164	#65083	C₂²	1	1	yes	characteristic, complemented
165	#65082	C₂²	1	1	yes	characteristic, complemented
166	#65080	C₂²	1	1	yes	characteristic, complemented
167	#65079	C₂²	1	1	yes	characteristic, complemented
168	#65079	C₂²	1	1	yes	characteristic, complemented
169	#65077	C₂²	1	1	yes	characteristic, complemented
170	#65077	C₂²	1	1	yes	characteristic, complemented
171	#65075	C₂²	1	1	yes	characteristic, complemented
172	#65066	C₂²	1	1	yes	characteristic
173	#65065	C₂²	1	1	yes	characteristic
174	#65063	C₂²	1	1	yes	characteristic
175	#65062	C₂²	1	1	yes	characteristic
176	#65061	C₂²	1	1	yes	characteristic
177	#65061	C₂²	1	1	yes	characteristic
178	#65061	C₂²	1	1	yes	characteristic, complemented
179	#65061	C₂²	1	1	yes	characteristic, complemented
180	#65051	C₂²	1	1	yes	characteristic, complemented
181	#65050	C₂²	1	1	yes	characteristic, complemented
182	#65048	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, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65026	C₂²	1	1	yes	characteristic, complemented
188	#65023	C₂²	1	1	yes	characteristic
189	#65022	C₂²	1	1	yes	characteristic
190	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
191	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
192	#65012	C₂²	1	1	yes	characteristic, complemented
193	#65007	C₂²	1	1	yes	characteristic, complemented
194	#65007	C₂²	1	1	yes	characteristic, complemented
195	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
196	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
197	C₄×#677	C₂²	1	1	yes	characteristic, complemented
198	C₄×#677	C₂²	1	1	yes	characteristic, complemented
199	#64974	C₂²	1	1	yes	characteristic
200	#64974	C₂²	1	1	yes	characteristic
201	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
203	#60536	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	D₅×#41	—	2	4	no	—
206	D₅×#41	—	2	4	no	—
207	C₂×#713	C₂³	1	1	yes	characteristic
208	C₂×#713	C₂³	1	1	yes	characteristic
209	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
210	C₂×#711	—	2	1	no	—
211	C₂×#711	—	2	1	no	—
212	C₂×#711	C₂³	1	1	yes	characteristic
213	C₂×#711	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₅	—	2	1	no	—
215	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
216	C₂×#709	—	2	1	no	—
217	C₂×#709	—	2	1	no	—
218	C₂×#709	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₅	—	2	1	no	—
220	C₂²×C₄×D₅	—	2	1	no	—
221	C₂²×C₄×D₅	—	2	1	no	—
222	C₂²×C₄×D₅	D₄	1	1	yes	characteristic
223	C₂²×C₄×D₅	D₄	1	1	yes	characteristic
224	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
229	C₅×#126	—	2	1	no	—
230	C₅×#125	C₂³	1	1	yes	characteristic
231	C₅×#124	C₂³	1	1	yes	characteristic
232	C₅×#123	—	2	1	no	—
233	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₅×#121	C₂³	1	1	yes	characteristic
235	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
236	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
237	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
238	C₄×C₅×D₄	—	2	1	no	—
239	C₄×C₅×D₄	—	2	1	no	—
240	C₄×C₅×D₄	—	2	1	no	—
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
243	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
244	C₅×#117	—	2	1	no	—
245	C₅×#117	—	2	1	no	—
246	C₅×#117	C₂³	1	1	yes	characteristic
247	C₂×C₄²×C₅	—	2	1	no	—
248	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
249	#4092	C₂³	1	1	yes	characteristic
250	Q₈×Dic₅	C₂³	1	1	yes	characteristic
251	Q₈×Dic₅	C₂³	1	1	yes	characteristic
252	Q₈×Dic₅	C₂³	1	1	yes	characteristic
253	#4090	C₂³	1	1	yes	characteristic
254	C₂×#689	C₂³	1	1	yes	characteristic
255	C₂×#689	C₂³	1	1	yes	characteristic
256	C₂×#688	C₂³	1	1	yes	characteristic
257	C₂×#688	C₂³	1	1	yes	characteristic
258	#4086	C₂³	1	1	yes	characteristic
259	#4085	—	2	1	no	—
260	#4084	C₂³	1	1	yes	characteristic
261	#4083	—	2	1	no	—
262	D₄×Dic₅	—	2	1	no	—
263	D₄×Dic₅	—	2	1	no	—
264	D₄×Dic₅	—	2	1	no	—
265	D₄×Dic₅	C₂³	1	1	yes	characteristic
266	D₄×Dic₅	C₂³	1	1	yes	characteristic
267	D₄×Dic₅	C₂³	1	1	yes	characteristic
268	C₂×#687	C₂³	1	1	yes	characteristic
269	C₂×#687	C₂³	1	1	yes	characteristic
270	C₂×#686	C₂³	1	1	yes	characteristic
271	C₂×#686	C₂³	1	1	yes	characteristic
272	#4076	C₂³	1	1	yes	characteristic
273	#4075	—	2	1	no	—
274	C₄×C₂²⋊D₅	—	2	1	no	—
275	C₄×C₂²⋊D₅	—	2	1	no	—
276	C₄×C₂²⋊D₅	—	2	1	no	—
277	C₄×C₂²⋊D₅	—	2	1	no	—
278	C₄×C₂²⋊D₅	—	2	1	no	—
279	C₄×C₂²⋊D₅	—	2	1	no	—
280	C₄×C₂²⋊D₅	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	—	2	1	no	—
283	#4072	—	2	1	no	—
284	#4072	C₂³	1	1	yes	characteristic
285	#4070	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₅	—	2	1	no	—
287	C₂×C₄×Dic₅	—	2	1	no	—
288	C₂×C₄×Dic₅	—	2	1	no	—
289	C₂×C₄×Dic₅	—	2	1	no	—
290	C₂×C₄×Dic₅	D₄	1	1	yes	characteristic
291	C₂×C₄×Dic₅	D₄	1	1	yes	characteristic
292	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
293	#4065	—	2	4	no	—
294	#4062	—	2	4	no	—
295	#4062	—	2	4	no	—
296	#4058	—	2	4	no	—
297	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
298	C₂×D₄₀	C₂³	1	1	yes	characteristic
299	C₂×#677	C₂³	1	1	yes	characteristic
300	C₂×#677	C₂³	1	1	yes	characteristic
301	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
302	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
303	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
304	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
305	#4044	—	2	1	no	—
306	#4043	C₂³	1	1	yes	characteristic
307	#4042	—	2	1	no	—
308	#4042	—	2	1	no	—
309	#4042	—	2	1	no	—
310	#4041	C₂³	1	1	yes	characteristic
311	#4040	—	2	1	no	—
312	#4040	—	2	1	no	—
313	#4039	—	2	1	no	—
314	#4039	—	2	1	no	—
315	#4039	—	2	1	no	—
316	#4039	—	2	1	no	—
317	#4039	—	2	1	no	—
318	#4039	C₂³	1	1	yes	characteristic
319	#4039	C₂³	1	1	yes	characteristic
320	#4039	C₂³	1	1	yes	characteristic
321	#4038	—	2	1	no	—
322	#4038	—	2	1	no	—
323	#4038	—	2	1	no	—
324	#4038	—	2	1	no	—
325	#4038	C₂³	1	1	yes	characteristic
326	#4038	C₂³	1	1	yes	characteristic
327	#4038	C₂³	1	1	yes	characteristic
328	#4038	C₂³	1	1	yes	characteristic
329	D₅×C₄⋊C₄	—	2	1	no	—
330	D₅×C₄⋊C₄	—	2	1	no	—
331	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	#4035	—	2	1	no	—
334	#4035	—	2	1	no	—
335	#4034	C₂³	1	1	yes	characteristic
336	#4034	C₂³	1	1	yes	characteristic
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	—	2	1	no	—
341	#4033	—	2	1	no	—
342	#4033	C₂³	1	1	yes	characteristic
343	#4033	C₂³	1	1	yes	characteristic
344	#4033	C₂³	1	1	yes	characteristic
345	#4031	—	2	1	no	—
346	#4031	—	2	1	no	—
347	#4030	—	2	1	no	—
348	#4030	—	2	1	no	—
349	#4030	—	2	1	no	—
350	#4029	—	2	1	no	—
351	#4029	—	2	1	no	—
352	#4028	—	2	1	no	—
353	#4027	—	2	1	no	—
354	#4027	—	2	1	no	—
355	#4027	—	2	1	no	—
356	#4027	—	2	1	no	—
357	#4027	—	2	1	no	—
358	#4027	—	2	1	no	—
359	#4027	—	2	1	no	—
360	#4027	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	D₅×C₂²⋊C₄	—	2	1	no	—
367	D₅×C₂²⋊C₄	—	2	1	no	—
368	D₅×C₂²⋊C₄	—	2	1	no	—
369	#4025	—	2	1	no	—
370	#4024	—	2	1	no	—
371	#4023	—	2	1	no	—
372	#4023	—	2	1	no	—
373	#4023	—	2	1	no	—
374	#4023	—	2	1	no	—
375	#4023	—	2	1	no	—
376	#4023	—	2	1	no	—
377	#4022	—	2	1	no	—
378	#4021	C₂³	1	1	yes	characteristic
379	C₄×D₂₀	—	2	1	no	—
380	C₄×D₂₀	—	2	1	no	—
381	C₄×D₂₀	—	2	1	no	—
382	C₄×D₂₀	C₂³	1	1	yes	characteristic
383	C₄×D₂₀	C₂³	1	1	yes	characteristic
384	C₄×D₂₀	C₂³	1	1	yes	characteristic
385	#4018	—	2	1	no	—
386	#4018	—	2	1	no	—
387	#4018	—	2	1	no	—
388	#4018	—	2	1	no	—
389	#4018	—	2	1	no	—
390	C₄²×D₅	—	2	1	no	—
391	C₄²×D₅	—	2	1	no	—
392	C₄²×D₅	—	2	1	no	—
393	C₄²×D₅	—	2	1	no	—
394	C₄²×D₅	—	2	1	no	—
395	C₄²×D₅	—	2	1	no	—
396	C₄²×D₅	—	2	1	no	—
397	C₄²×D₅	—	2	1	no	—
398	C₄²×D₅	D₄	1	1	yes	characteristic
399	C₄²×D₅	D₄	1	1	yes	characteristic
400	C₄²×D₅	D₄	1	1	yes	characteristic
401	C₄²×D₅	D₄	1	1	yes	characteristic
402	C₄²×D₅	C₂³	1	1	yes	characteristic
403	C₄²×D₅	C₂³	1	1	yes	characteristic
404	C₄²×D₅	C₂³	1	1	yes	characteristic
405	C₄²×D₅	C₂³	1	1	yes	characteristic
406	#4016	C₂³	1	1	yes	characteristic
407	C₄×Dic₁₀	—	2	1	no	—
408	C₄×Dic₁₀	—	2	1	no	—
409	C₄×Dic₁₀	—	2	1	no	—
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
413	C₅×#107	C₂³	1	1	yes	characteristic
414	C₅×#107	C₂³	1	1	yes	characteristic
415	C₅×#106	C₂³	1	1	yes	characteristic
416	C₅×#106	C₂³	1	1	yes	characteristic
417	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#103	C₂³	1	1	yes	characteristic
422	C₅×#103	C₂³	1	1	yes	characteristic
423	C₅×#102	C₂³	1	1	yes	characteristic
424	C₅×#102	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×#102	C₂³	1	1	yes	characteristic
427	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
430	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3967	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	#3964	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic
438	#3964	C₂³	1	1	yes	characteristic
439	C₂²⋊#168	C₂³	1	1	yes	characteristic
440	C₂²⋊#168	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3953	C₂³	1	1	yes	characteristic
444	#3953	C₂³	1	1	yes	characteristic
445	#3952	C₂³	1	1	yes	characteristic
446	#3952	C₂³	1	1	yes	characteristic
447	#3952	C₂³	1	1	yes	characteristic
448	#3952	C₂³	1	1	yes	characteristic
449	#3950	C₂³	1	1	yes	characteristic
450	#3950	C₂³	1	1	yes	characteristic
451	#3949	C₂³	1	1	yes	characteristic
452	#3949	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	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	C₄×#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3444	—	5	1	no	—
486	C₂×C₄×#41	—	5	1	no	—
487	#3108	—	5	1	no	—
488	#3108	—	5	1	no	—
489	#3107	—	5	1	no	—
490	#3107	—	5	1	no	—
491	#3106	—	5	1	no	—
492	#3106	—	5	1	no	—
493	#3105	—	5	1	no	—
494	#3105	—	5	1	no	—
495	#3104	—	5	1	no	—
496	#3103	—	5	1	no	—
497	#3102	—	5	1	no	—
498	#3102	—	5	1	no	—
499	#3102	—	5	1	no	—
500	#3102	D₅	1	1	yes	characteristic, complemented
501	#3101	—	5	1	no	—
502	#3100	—	5	1	no	—
503	#3091	—	5	1	no	—
504	#3091	—	5	1	no	—
505	#3076	—	5	1	no	—
506	#3076	—	5	1	no	—
507	#3035	—	5	1	no	—
508	#3035	—	5	1	no	—
509	#3002	—	5	1	no	—
510	#3002	—	5	1	no	—
511	C₄×#135	—	5	1	no	—
512	C₄×#135	—	5	1	no	—
513	C₄×#135	—	5	1	no	—
514	C₄×#135	—	5	1	no	—
515	C₂×#431	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
518	C₅×#41	—	2	2	no	—
519	C₅×#41	—	2	2	no	—
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
525	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
532	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	—	2	1	no	—
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
548	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
549	#713	—	2	2	no	—
550	#713	—	2	2	no	—
551	#713	—	2	2	no	—
552	#713	#41	1	4	yes	complemented
553	Q₈×D₅	—	2	2	no	—
554	Q₈×D₅	—	2	2	no	—
555	#711	—	2	8	no	—
556	#711	—	2	2	no	—
557	#711	—	2	2	no	—
558	#711	—	2	2	no	—
559	#711	—	4	4	no	—
560	#711	#41	1	4	yes	complemented
561	D₄×D₅	—	2	8	no	—
562	D₄×D₅	—	2	2	no	—
563	D₄×D₅	—	2	2	no	—
564	#709	—	2	8	no	—
565	#709	—	2	2	no	—
566	#709	—	2	2	no	—
567	#709	—	4	4	no	—
568	C₂×D₂₀	—	2	1	no	—
569	C₂×D₂₀	—	2	1	no	—
570	C₂×D₂₀	—	2	1	no	—
571	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
572	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×D₅	—	2	8	no	—
574	C₂×C₄×D₅	—	2	1	no	—
575	C₂×C₄×D₅	—	2	1	no	—
576	C₂×C₄×D₅	—	2	1	no	—
577	C₂×C₄×D₅	—	2	4	no	—
578	C₂×C₄×D₅	—	2	2	no	—
579	C₂×C₄×D₅	—	2	2	no	—
580	C₂×C₄×D₅	—	2	1	no	—
581	C₂×C₄×D₅	—	2	1	no	—
582	C₂×C₄×D₅	—	2	1	no	—
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	—	4	2	no	—
590	C₂×C₄×D₅	—	4	4	no	—
591	C₂×C₄×D₅	—	4	4	no	—
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	C₂×D₄	1	1	yes	characteristic
596	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
597	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
598	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
599	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
600	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
601	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
602	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
604	C₂×Dic₁₀	—	2	1	no	—
605	C₂×Dic₁₀	—	2	1	no	—
606	C₂×Dic₁₀	—	2	1	no	—
607	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
608	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
609	C₅×Q₁₆	—	2	2	no	—
610	C₅×SD₁₆	—	2	2	no	—
611	C₅×SD₁₆	—	2	2	no	—
612	C₅×D₈	—	2	2	no	—
613	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
614	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
615	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
616	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
617	C₅×C₄⋊C₄	—	2	1	no	—
618	C₅×C₄⋊C₄	—	2	1	no	—
619	C₅×C₄⋊C₄	—	2	1	no	—
620	C₅×C₄⋊C₄	—	2	1	no	—
621	C₅×C₄⋊C₄	—	2	1	no	—
622	C₅×C₄⋊C₄	—	2	1	no	—
623	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₅×C₂²⋊C₄	—	2	1	no	—
633	C₅×C₂²⋊C₄	—	2	1	no	—
634	C₅×C₂²⋊C₄	—	2	1	no	—
635	C₄²×C₅	—	2	1	no	—
636	C₄²×C₅	—	2	1	no	—
637	C₄²×C₅	—	2	1	no	—
638	C₄²×C₅	—	2	1	no	—
639	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
640	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
641	C₄²×C₅	C₂⁴	1	1	yes	characteristic
642	C₄²×C₅	C₂⁴	1	1	yes	characteristic
643	C₂²⋊Dic₅	—	2	1	no	—
644	C₂²⋊Dic₅	—	2	1	no	—
645	C₂²⋊Dic₅	—	2	1	no	—
646	C₂²⋊Dic₅	—	2	1	no	—
647	C₂²⋊Dic₅	—	2	1	no	—
648	C₂²⋊Dic₅	—	2	1	no	—
649	#689	—	2	2	no	—
650	#689	—	2	2	no	—
651	#688	—	2	2	no	—
652	#688	—	2	2	no	—
653	#687	—	2	2	no	—
654	#687	—	2	2	no	—
655	#686	—	2	2	no	—
656	#686	—	2	2	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	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	C₄⋊Dic₅	—	2	1	no	—
674	C₄⋊Dic₅	—	2	1	no	—
675	C₄⋊Dic₅	—	2	1	no	—
676	C₄⋊Dic₅	—	2	1	no	—
677	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
678	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
679	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	—	2	1	no	—
703	C₄×Dic₅	—	2	1	no	—
704	C₄×Dic₅	—	2	1	no	—
705	C₄×Dic₅	—	2	1	no	—
706	C₄×Dic₅	—	2	1	no	—
707	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	—	2	1	no	—
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
712	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
713	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
714	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
715	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
716	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
717	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
719	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₂×#168	C₂⁴	1	1	yes	characteristic
724	C₂×#168	C₂⁴	1	1	yes	characteristic
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	Dic₂₀	—	2	2	no	—
728	D₄₀	—	2	2	no	—
729	#677	—	2	2	no	—
730	#677	—	2	2	no	—
731	C₈×D₅	—	2	2	no	—
732	C₈×D₅	—	2	2	no	—
733	C₈×D₅	—	2	2	no	—
734	C₈×D₅	—	2	2	no	—
735	C₂²×#41	—	5	1	no	—
736	C₂×#135	—	5	1	no	—
737	C₂×#135	—	5	1	no	—
738	C₂×#135	—	5	1	no	—
739	C₂×#135	—	5	1	no	—
740	#533	—	5	1	no	—
741	#533	—	5	1	no	—
742	#533	—	5	1	no	—
743	#532	—	5	1	no	—
744	#532	—	5	1	no	—
745	#532	—	5	1	no	—
746	#529	—	5	1	no	—
747	#529	—	5	1	no	—
748	#529	—	5	1	no	—
749	#529	—	10	1	no	—
750	#529	—	10	1	no	—
751	#529	—	10	1	no	—
752	#529	—	10	1	no	—
753	#529	C₂×D₅	1	1	yes	characteristic, complemented
754	#525	—	5	1	no	—
755	#525	—	5	1	no	—
756	#525	—	10	1	no	—
757	#525	—	10	1	no	—
758	C₄×#41	—	5	1	no	—
759	C₄×#41	—	5	1	no	—
760	C₄×#41	—	5	1	no	—
761	C₄×#41	—	5	1	no	—
762	C₄×#41	—	5	1	no	—
763	C₄×#41	—	5	1	no	—
764	C₄×#41	—	5	1	no	—
765	C₄×#41	—	5	1	no	—
766	C₄×#41	—	5	1	no	—
767	C₄×#41	—	10	1	no	—
768	C₄×#41	—	10	1	no	—
769	C₄×#41	—	10	1	no	—
770	C₄×#41	—	10	1	no	—
771	C₄×#41	—	10	1	no	—
772	C₄×#41	—	10	1	no	—
773	C₄×#41	C₂×D₅	1	1	yes	characteristic
774	C₂×C₄×Q₈	—	5	1	no	—
775	C₂×C₄×Q₈	—	5	1	no	—
776	C₂×C₄×D₄	—	5	1	no	—
777	C₂×C₄×D₄	—	5	1	no	—
778	C₂×C₄×D₄	—	10	1	no	—
779	C₂×C₄×D₄	—	10	1	no	—
780	C₂×#117	—	5	1	no	—
781	C₂×#117	—	10	1	no	—
782	C₂²×C₄²	—	5	1	no	—
783	C₂²×C₄²	—	10	1	no	—
784	#485	—	5	1	no	—
785	#485	—	5	1	no	—
786	#485	—	5	1	no	—
787	#485	C₂×D₅	1	1	yes	characteristic, complemented
788	#484	—	5	1	no	—
789	#484	—	5	1	no	—
790	#483	—	5	1	no	—
791	#483	—	5	1	no	—
792	#482	—	5	1	no	—
793	#482	—	5	1	no	—
794	#482	—	5	1	no	—
795	#482	C₂×D₅	1	1	yes	characteristic, complemented
796	#481	—	5	1	no	—
797	#481	—	5	1	no	—
798	#480	—	5	1	no	—
799	#480	—	5	1	no	—
800	#479	—	5	1	no	—
801	#479	—	5	1	no	—
802	#479	—	5	1	no	—
803	#479	C₂×D₅	1	1	yes	characteristic, complemented
804	#478	—	5	1	no	—
805	#478	—	5	1	no	—
806	#478	—	5	1	no	—
807	#478	C₂×D₅	1	1	yes	characteristic, complemented
808	#477	—	5	1	no	—
809	#477	—	5	1	no	—
810	#476	—	5	1	no	—
811	#476	—	5	1	no	—
812	#475	—	5	1	no	—
813	#475	—	5	1	no	—
814	#474	—	5	1	no	—
815	#474	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	C₂×D₅	1	1	yes	characteristic, complemented
820	#463	—	5	1	no	—
821	#463	—	5	1	no	—
822	#463	—	5	1	no	—
823	#463	C₂×D₅	1	1	yes	characteristic, complemented
824	#462	—	5	1	no	—
825	#462	—	5	1	no	—
826	#461	—	5	1	no	—
827	#461	—	5	1	no	—
828	#460	—	5	1	no	—
829	#460	—	5	1	no	—
830	#459	—	5	1	no	—
831	#459	—	5	1	no	—
832	#452	—	5	1	no	—
833	#452	—	5	1	no	—
834	#452	—	5	1	no	—
835	#452	C₂×D₅	1	1	yes	characteristic
836	#451	—	5	1	no	—
837	#451	—	5	1	no	—
838	#450	—	5	1	no	—
839	#450	—	5	1	no	—
840	#449	—	5	1	no	—
841	#449	—	5	1	no	—
842	#449	—	5	1	no	—
843	#449	C₂×D₅	1	1	yes	characteristic
844	#448	—	5	1	no	—
845	#448	—	5	1	no	—
846	#447	—	5	1	no	—
847	#447	—	5	1	no	—
848	C₄×Q₁₆	—	5	1	no	—
849	C₄×Q₁₆	—	5	1	no	—
850	C₄×Q₁₆	—	5	1	no	—
851	C₄×Q₁₆	—	5	1	no	—
852	C₄×Q₁₆	—	5	1	no	—
853	C₄×Q₁₆	—	5	1	no	—
854	C₄×Q₁₆	—	5	1	no	—
855	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
856	C₄×SD₁₆	—	5	1	no	—
857	C₄×SD₁₆	—	5	1	no	—
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	—	5	1	no	—
862	C₄×SD₁₆	—	5	1	no	—
863	C₄×SD₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
871	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
872	C₄×D₈	—	5	1	no	—
873	C₄×D₈	—	5	1	no	—
874	C₄×D₈	—	5	1	no	—
875	C₄×D₈	—	5	1	no	—
876	C₄×D₈	—	5	1	no	—
877	C₄×D₈	—	5	1	no	—
878	C₄×D₈	—	5	1	no	—
879	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
880	#431	—	5	1	no	—
881	#431	—	5	1	no	—
882	#431	—	5	1	no	—
883	#431	—	5	1	no	—
884	#431	—	5	1	no	—
885	#431	—	5	1	no	—
886	#431	—	5	1	no	—
887	#431	C₂×D₅	1	1	yes	characteristic, complemented
888	#427	—	5	1	no	—
889	#427	—	5	1	no	—
890	#427	—	5	1	no	—
891	#427	—	5	1	no	—
892	C₂×C₄⋊C₈	—	5	1	no	—
893	C₂×C₄⋊C₈	—	5	1	no	—
894	#416	—	5	1	no	—
895	#416	—	5	1	no	—
896	#416	—	5	1	no	—
897	#416	—	5	1	no	—
898	#416	—	5	1	no	—
899	#416	—	5	1	no	—
900	#416	—	5	1	no	—
901	#416	—	5	1	no	—
902	C₂×C₂²⋊C₈	—	5	1	no	—
903	C₂×C₂²⋊C₈	—	5	1	no	—
904	C₂×C₄×C₈	—	5	1	no	—
905	C₂×C₄×C₈	—	5	1	no	—
906	C₂³×C₅	—	2	1	no	—
907	C₂³×C₅	—	2	1	no	—
908	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂²×D₅	—	2	4	no	—
910	C₂²×D₅	—	2	1	no	—
911	C₂²×D₅	—	2	2	no	—
912	C₂²×D₅	—	2	2	no	—
913	C₂²×D₅	—	2	1	no	—
914	C₂²×D₅	—	4	1	no	—
915	C₂²×D₅	—	4	2	no	—
916	C₂²×D₅	—	4	2	no	—
917	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
918	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
919	C₅×Q₈	—	2	1	no	—
920	C₅×Q₈	—	2	1	no	—
921	C₅×Q₈	—	2	1	no	—
922	C₅×Q₈	C₂×#41	1	2	yes	—
923	C₅×D₄	—	2	4	no	—
924	C₅×D₄	—	2	1	no	—
925	C₅×D₄	—	2	1	no	—
926	C₅×D₄	—	2	1	no	—
927	C₅×D₄	—	4	2	no	—
928	C₅×D₄	C₂×#41	1	2	yes	—
929	C₂×C₄×C₅	—	2	4	no	—
930	C₂×C₄×C₅	—	2	1	no	—
931	C₂×C₄×C₅	—	2	2	no	—
932	C₂×C₄×C₅	—	2	1	no	—
933	C₂×C₄×C₅	—	2	1	no	—
934	C₂×C₄×C₅	—	2	1	no	—
935	C₂×C₄×C₅	—	2	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	2	1	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	4	1	no	—
940	C₂×C₄×C₅	—	4	2	no	—
941	C₂×C₄×C₅	—	4	2	no	—
942	C₂×C₄×C₅	—	4	2	no	—
943	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
949	C₂²⋊D₅	—	2	4	no	—
950	C₂²⋊D₅	—	2	4	no	—
951	C₂²⋊D₅	—	2	4	no	—
952	C₂²⋊D₅	—	4	2	no	—
953	C₂²⋊D₅	—	4	2	no	—
954	C₂²⋊D₅	—	4	2	no	—
955	C₂²⋊D₅	—	4	2	no	—
956	C₂²⋊D₅	—	4	2	no	—
957	C₂×Dic₅	—	2	1	no	—
958	C₂×Dic₅	—	2	2	no	—
959	C₂×Dic₅	—	2	4	no	—
960	C₂×Dic₅	—	2	2	no	—
961	C₂×Dic₅	—	2	2	no	—
962	C₂×Dic₅	—	2	1	no	—
963	C₂×Dic₅	—	2	1	no	—
964	C₂×Dic₅	—	2	1	no	—
965	C₂×Dic₅	—	2	1	no	—
966	C₂×Dic₅	—	2	1	no	—
967	C₂×Dic₅	—	4	2	no	—
968	C₂×Dic₅	—	4	2	no	—
969	C₂×Dic₅	—	4	2	no	—
970	C₂×Dic₅	—	4	2	no	—
971	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
972	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
974	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
975	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
976	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
977	D₂₀	—	2	4	no	—
978	D₂₀	—	2	1	no	—
979	D₂₀	—	2	1	no	—
980	D₂₀	—	2	1	no	—
981	D₂₀	—	4	2	no	—
982	D₂₀	—	4	2	no	—
983	D₂₀	C₂×#41	1	2	yes	—
984	C₄×D₅	—	2	4	no	—
985	C₄×D₅	—	2	4	no	—
986	C₄×D₅	—	2	2	no	—
987	C₄×D₅	—	2	2	no	—
988	C₄×D₅	—	2	2	no	—
989	C₄×D₅	—	2	1	no	—
990	C₄×D₅	—	2	1	no	—
991	C₄×D₅	—	2	2	no	—
992	C₄×D₅	—	2	4	no	—
993	C₄×D₅	—	2	2	no	—
994	C₄×D₅	—	2	2	no	—
995	C₄×D₅	—	2	2	no	—
996	C₄×D₅	—	4	1	no	—
997	C₄×D₅	—	4	1	no	—
998	C₄×D₅	—	4	2	no	—
999	C₄×D₅	—	4	2	no	—
1000	C₄×D₅	—	4	2	no	—
1001	C₄×D₅	—	4	2	no	—
1002	C₄×D₅	—	4	2	no	—
1003	C₄×D₅	—	4	2	no	—
1004	C₄×D₅	—	4	2	no	—
1005	C₄×D₅	—	4	2	no	—
1006	C₄×D₅	—	4	2	no	—
1007	C₄×D₅	#135	1	4	yes	complemented
1008	C₄×D₅	C₂×#41	1	2	yes	—
1009	C₄×D₅	C₂×#41	1	2	yes	—
1010	Dic₁₀	—	2	4	no	—
1011	Dic₁₀	—	2	1	no	—
1012	Dic₁₀	—	2	1	no	—
1013	Dic₁₀	—	2	1	no	—
1014	Dic₁₀	—	4	2	no	—
1015	Dic₁₀	—	4	2	no	—
1016	Dic₁₀	C₂×#41	1	2	yes	—
1017	C₅×C₈	—	2	1	no	—
1018	C₅×C₈	—	2	1	no	—
1019	C₅×C₈	—	2	1	no	—
1020	C₅×C₈	—	2	1	no	—
1021	#168	—	2	1	no	—
1022	#168	—	2	1	no	—
1023	#168	—	2	1	no	—
1024	#168	—	2	1	no	—
1025	C₂×#41	—	5	1	no	—
1026	C₂×#41	—	5	1	no	—
1027	C₂×#41	—	5	1	no	—
1028	C₂×#41	—	5	1	no	—
1029	C₂×#41	—	5	1	no	—
1030	C₂×#41	—	10	1	no	—
1031	C₂×#41	—	10	1	no	—
1032	C₂×#41	—	10	1	no	—
1033	C₂×#41	—	10	1	no	—
1034	C₂×#41	—	10	4	no	—
1035	C₂×#41	—	10	4	no	—
1036	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1037	C₂²×Q₈	—	5	1	no	—
1038	C₂²×D₄	—	5	1	no	—
1039	C₂²×D₄	—	10	1	no	—
1040	C₂³×C₄	—	5	1	no	—
1041	C₂³×C₄	—	5	1	no	—
1042	C₂³×C₄	—	5	1	no	—
1043	C₂³×C₄	—	10	1	no	—
1044	C₂³×C₄	—	10	1	no	—
1045	C₂³×C₄	—	10	1	no	—
1046	#135	—	10	4	no	—
1047	#135	—	10	4	no	—
1048	#135	—	10	4	no	—
1049	#135	—	10	4	no	—
1050	C₂×Q₁₆	—	5	1	no	—
1051	C₂×Q₁₆	—	5	1	no	—
1052	C₂×Q₁₆	—	5	1	no	—
1053	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1054	C₂×SD₁₆	—	5	1	no	—
1055	C₂×SD₁₆	—	5	1	no	—
1056	C₂×SD₁₆	—	5	1	no	—
1057	C₂×SD₁₆	—	5	1	no	—
1058	C₂×SD₁₆	—	5	1	no	—
1059	C₂×SD₁₆	—	5	1	no	—
1060	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1062	C₂×D₈	—	5	1	no	—
1063	C₂×D₈	—	5	1	no	—
1064	C₂×D₈	—	5	1	no	—
1065	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1066	C₂²×C₈	—	5	1	no	—
1067	C₂²×C₈	—	5	1	no	—
1068	C₂²×C₈	—	5	1	no	—
1069	C₂²×C₈	—	5	1	no	—
1070	C₄⋊Q₈	—	5	1	no	—
1071	C₄⋊Q₈	—	5	1	no	—
1072	C₄⋊Q₈	—	5	1	no	—
1073	#127	—	5	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	10	1	no	—
1076	#126	—	10	1	no	—
1077	#126	—	10	1	no	—
1078	#125	—	5	1	no	—
1079	#125	—	10	1	no	—
1080	#125	—	10	1	no	—
1081	#125	C₂²×D₅	1	1	yes	characteristic
1082	#124	—	5	1	no	—
1083	#124	—	10	1	no	—
1084	#124	—	10	1	no	—
1085	#124	C₂²×D₅	1	1	yes	characteristic
1086	#123	—	2	1	no	—
1087	#123	—	10	1	no	—
1088	#123	—	10	1	no	—
1089	#123	—	10	1	no	—
1090	#123	—	10	1	no	—
1091	#123	—	10	1	no	—
1092	C₂²⋊Q₈	—	5	1	no	—
1093	C₂²⋊Q₈	—	5	1	no	—
1094	C₂²⋊Q₈	—	5	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1100	#121	—	5	1	no	—
1101	#121	—	5	1	no	—
1102	#121	—	5	1	no	—
1103	#121	—	10	1	no	—
1104	#121	—	10	1	no	—
1105	#121	—	10	1	no	—
1106	#121	—	10	1	no	—
1107	#121	C₂²×D₅	1	1	yes	characteristic
1108	#120	—	10	1	no	—
1109	#120	—	10	1	no	—
1110	C₄×Q₈	—	5	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	5	1	no	—
1114	C₄×Q₈	—	5	1	no	—
1115	C₄×Q₈	—	5	1	no	—
1116	C₄×Q₈	—	5	1	no	—
1117	C₄×Q₈	—	5	1	no	—
1118	C₄×Q₈	—	5	1	no	—
1119	C₄×Q₈	—	10	1	no	—
1120	C₄×Q₈	—	10	1	no	—
1121	C₄×Q₈	—	10	1	no	—
1122	C₄×Q₈	—	10	1	no	—
1123	C₄×Q₈	—	10	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1128	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1129	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1130	C₄×D₄	—	2	1	no	—
1131	C₄×D₄	—	2	1	no	—
1132	C₄×D₄	—	2	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	—	10	1	no	—
1168	C₄×D₄	—	10	1	no	—
1169	C₄×D₄	—	10	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	—	10	1	no	—
1172	C₄×D₄	—	10	1	no	—
1173	C₄×D₄	—	10	1	no	—
1174	C₄×D₄	—	10	1	no	—
1175	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1176	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1177	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1178	#117	—	2	1	no	—
1179	#117	—	2	1	no	—
1180	#117	—	5	1	no	—
1181	#117	—	5	1	no	—
1182	#117	—	5	1	no	—
1183	#117	—	5	1	no	—
1184	#117	—	5	1	no	—
1185	#117	—	10	1	no	—
1186	#117	—	10	1	no	—
1187	#117	—	10	1	no	—
1188	#117	—	10	1	no	—
1189	#117	—	10	1	no	—
1190	#117	—	10	1	no	—
1191	#117	—	10	1	no	—
1192	#117	—	10	1	no	—
1193	#117	—	10	1	no	—
1194	#117	—	10	1	no	—
1195	#117	—	10	1	no	—
1196	#117	—	10	1	no	—
1197	#117	—	10	1	no	—
1198	#117	—	10	1	no	—
1199	#117	—	10	1	no	—
1200	#117	—	10	1	no	—
1201	#117	C₂²×D₅	1	1	yes	characteristic
1202	C₂×C₄⋊C₄	—	5	1	no	—
1203	C₂×C₄⋊C₄	—	5	1	no	—
1204	C₂×C₄⋊C₄	—	10	1	no	—
1205	C₂×C₄⋊C₄	—	10	1	no	—
1206	C₂×C₂²⋊C₄	—	10	1	no	—
1207	C₂×C₂²⋊C₄	—	10	1	no	—
1208	C₂×C₂²⋊C₄	—	10	1	no	—
1209	C₂×C₄²	—	2	1	no	—
1210	C₂×C₄²	—	5	1	no	—
1211	C₂×C₄²	—	5	1	no	—
1212	C₂×C₄²	—	5	1	no	—
1213	C₂×C₄²	—	5	1	no	—
1214	C₂×C₄²	—	5	1	no	—
1215	C₂×C₄²	—	5	1	no	—
1216	C₂×C₄²	—	5	1	no	—
1217	C₂×C₄²	—	5	1	no	—
1218	C₂×C₄²	—	5	1	no	—
1219	C₂×C₄²	—	5	1	no	—
1220	C₂×C₄²	—	5	1	no	—
1221	C₂×C₄²	—	10	1	no	—
1222	C₂×C₄²	—	10	1	no	—
1223	C₂×C₄²	—	10	1	no	—
1224	C₂×C₄²	—	10	1	no	—
1225	C₂×C₄²	—	10	1	no	—
1226	C₂×C₄²	—	10	1	no	—
1227	C₂×C₄²	—	10	1	no	—
1228	C₂×C₄²	—	10	1	no	—
1229	C₂×C₄²	—	10	1	no	—
1230	C₂×C₄²	—	10	1	no	—
1231	C₂×C₄²	—	10	1	no	—
1232	C₂×C₄²	—	10	1	no	—
1233	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1234	#107	—	5	1	no	—
1235	#107	—	5	1	no	—
1236	#107	—	5	1	no	—
1237	#107	—	5	1	no	—
1238	#107	—	5	1	no	—
1239	#107	—	5	1	no	—
1240	#107	C₂²×D₅	1	1	yes	characteristic
1241	#107	C₂²×D₅	1	1	yes	characteristic
1242	#106	—	5	1	no	—
1243	#106	—	5	1	no	—
1244	#106	—	5	1	no	—
1245	#106	—	5	1	no	—
1246	#106	—	5	1	no	—
1247	#106	—	5	1	no	—
1248	#106	C₂²×D₅	1	1	yes	characteristic
1249	#106	C₂²×D₅	1	1	yes	characteristic
1250	C₄⋊C₈	—	5	1	no	—
1251	C₄⋊C₈	—	5	1	no	—
1252	C₄⋊C₈	—	5	1	no	—
1253	C₄⋊C₈	—	5	1	no	—
1254	C₄⋊C₈	—	5	1	no	—
1255	C₄⋊C₈	—	5	1	no	—
1256	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1257	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1258	#103	—	5	1	no	—
1259	#103	—	5	1	no	—
1260	#103	—	5	1	no	—
1261	#103	—	5	1	no	—
1262	#103	—	5	1	no	—
1263	#103	—	5	1	no	—
1264	#103	—	5	1	no	—
1265	#103	—	5	1	no	—
1266	#103	—	5	1	no	—
1267	#103	—	5	1	no	—
1268	#103	—	5	1	no	—
1269	#103	—	5	1	no	—
1270	#103	C₂²×D₅	1	1	yes	characteristic
1271	#103	C₂²×D₅	1	1	yes	characteristic
1272	#103	C₂²×D₅	1	1	yes	characteristic
1273	#103	C₂²×D₅	1	1	yes	characteristic
1274	#102	—	5	1	no	—
1275	#102	—	5	1	no	—
1276	#102	—	5	1	no	—
1277	#102	—	5	1	no	—
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	—	5	1	no	—
1281	#102	—	5	1	no	—
1282	#102	—	5	1	no	—
1283	#102	—	5	1	no	—
1284	#102	—	5	1	no	—
1285	#102	—	5	1	no	—
1286	#102	C₂²×D₅	1	1	yes	characteristic
1287	#102	C₂²×D₅	1	1	yes	characteristic
1288	#102	C₂²×D₅	1	1	yes	characteristic
1289	#102	C₂²×D₅	1	1	yes	characteristic
1290	C₂²⋊C₈	—	5	1	no	—
1291	C₂²⋊C₈	—	5	1	no	—
1292	C₂²⋊C₈	—	5	1	no	—
1293	C₂²⋊C₈	—	5	1	no	—
1294	C₂²⋊C₈	—	5	1	no	—
1295	C₂²⋊C₈	—	5	1	no	—
1296	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1297	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1298	C₄×C₈	—	5	1	no	—
1299	C₄×C₈	—	5	1	no	—
1300	C₄×C₈	—	5	1	no	—
1301	C₄×C₈	—	5	1	no	—
1302	C₄×C₈	—	5	1	no	—
1303	C₄×C₈	—	5	1	no	—
1304	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1305	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1306	C₂²×C₅	—	2	1	no	—
1307	C₂²×C₅	—	2	2	no	—
1308	C₂²×C₅	—	2	1	no	—
1309	C₂²×C₅	—	2	1	no	—
1310	C₂²×C₅	—	4	1	no	—
1311	C₂²×C₅	—	4	1	no	—
1312	C₂²×C₅	—	4	1	no	—
1313	C₂²×C₅	—	4	1	no	—
1314	C₂²×C₅	—	4	1	no	—
1315	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1316	C₂×D₅	—	2	1	no	—
1317	C₂×D₅	—	2	1	no	—
1318	C₂×D₅	—	2	1	no	—
1319	C₂×D₅	—	2	1	no	—
1320	C₂×D₅	—	2	2	no	—
1321	C₂×D₅	—	4	4	no	—
1322	C₂×D₅	—	4	8	no	—
1323	C₂×D₅	—	4	1	no	—
1324	C₂×D₅	—	4	1	no	—
1325	C₂×D₅	—	4	1	no	—
1326	C₂×D₅	—	4	1	no	—
1327	C₂×D₅	—	4	1	no	—
1328	C₂×D₅	#525	1	2	yes	—
1329	C₂×D₅	C₂×#135	1	2	yes	—
1330	C₄×C₅	—	2	2	no	—
1331	C₄×C₅	—	2	1	no	—
1332	C₄×C₅	—	2	1	no	—
1333	C₄×C₅	—	2	1	no	—
1334	C₄×C₅	—	2	1	no	—
1335	C₄×C₅	—	4	1	no	—
1336	C₄×C₅	—	4	1	no	—
1337	C₄×C₅	—	4	1	no	—
1338	C₄×C₅	—	4	1	no	—
1339	C₄×C₅	—	4	1	no	—
1340	C₄×C₅	C₂×#135	1	2	yes	—
1341	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1342	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1343	Dic₅	—	2	1	no	—
1344	Dic₅	—	2	2	no	—
1345	Dic₅	—	2	1	no	—
1346	Dic₅	—	2	1	no	—
1347	Dic₅	—	4	1	no	—
1348	Dic₅	—	4	1	no	—
1349	Dic₅	—	4	1	no	—
1350	Dic₅	—	4	1	no	—
1351	Dic₅	—	4	1	no	—
1352	Dic₅	#525	1	2	yes	—
1353	Dic₅	C₂×#135	1	2	yes	—
1354	Dic₅	#575	1	2	yes	—
1355	C₂⁴	—	5	1	no	—
1356	C₂⁴	—	10	1	no	—
1357	#41	—	2	2	no	—
1358	#41	—	2	2	no	—
1359	#41	—	5	4	no	—
1360	#41	—	5	4	no	—
1361	#41	—	10	2	no	—
1362	#41	—	10	2	no	—
1363	#41	—	10	8	no	—
1364	#41	—	10	2	no	—
1365	#41	—	10	2	no	—
1366	#41	—	10	2	no	—
1367	#41	—	10	2	no	—
1368	#41	—	10	2	no	—
1369	#41	—	10	2	no	—
1370	#41	—	10	8	no	—
1371	#41	—	20	4	no	—
1372	#41	—	20	4	no	—
1373	C₂×Q₈	—	5	1	no	—
1374	C₂×Q₈	—	5	1	no	—
1375	C₂×Q₈	—	10	1	no	—
1376	C₂×Q₈	—	10	1	no	—
1377	C₂×Q₈	—	10	1	no	—
1378	C₂×Q₈	—	10	2	no	—
1379	C₂×Q₈	—	10	2	no	—
1380	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1381	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	5	1	no	—
1385	C₂×D₄	—	5	1	no	—
1386	C₂×D₄	—	10	1	no	—
1387	C₂×D₄	—	10	1	no	—
1388	C₂×D₄	—	10	1	no	—
1389	C₂×D₄	—	10	1	no	—
1390	C₂×D₄	—	10	1	no	—
1391	C₂×D₄	—	10	1	no	—
1392	C₂×D₄	—	10	2	no	—
1393	C₂×D₄	—	10	8	no	—
1394	C₂×D₄	—	10	1	no	—
1395	C₂×D₄	—	10	1	no	—
1396	C₂×D₄	—	10	2	no	—
1397	C₂×D₄	—	10	1	no	—
1398	C₂×D₄	—	10	1	no	—
1399	C₂×D₄	—	10	1	no	—
1400	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1401	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	5	1	no	—
1407	C₂²×C₄	—	5	1	no	—
1408	C₂²×C₄	—	5	1	no	—
1409	C₂²×C₄	—	5	1	no	—
1410	C₂²×C₄	—	5	1	no	—
1411	C₂²×C₄	—	5	1	no	—
1412	C₂²×C₄	—	5	1	no	—
1413	C₂²×C₄	—	5	1	no	—
1414	C₂²×C₄	—	5	1	no	—
1415	C₂²×C₄	—	5	1	no	—
1416	C₂²×C₄	—	5	1	no	—
1417	C₂²×C₄	—	5	1	no	—
1418	C₂²×C₄	—	5	1	no	—
1419	C₂²×C₄	—	5	1	no	—
1420	C₂²×C₄	—	5	1	no	—
1421	C₂²×C₄	—	10	1	no	—
1422	C₂²×C₄	—	10	2	no	—
1423	C₂²×C₄	—	10	2	no	—
1424	C₂²×C₄	—	10	4	no	—
1425	C₂²×C₄	—	10	1	no	—
1426	C₂²×C₄	—	10	1	no	—
1427	C₂²×C₄	—	10	1	no	—
1428	C₂²×C₄	—	10	1	no	—
1429	C₂²×C₄	—	10	1	no	—
1430	C₂²×C₄	—	10	8	no	—
1431	C₂²×C₄	—	10	1	no	—
1432	C₂²×C₄	—	10	1	no	—
1433	C₂²×C₄	—	10	1	no	—
1434	C₂²×C₄	—	10	1	no	—
1435	C₂²×C₄	—	10	1	no	—
1436	C₂²×C₄	—	10	1	no	—
1437	C₂²×C₄	—	10	1	no	—
1438	C₂²×C₄	—	10	1	no	—
1439	C₂²×C₄	—	10	1	no	—
1440	C₂²×C₄	—	10	1	no	—
1441	C₂²×C₄	—	10	1	no	—
1442	C₂²×C₄	—	20	4	no	—
1443	C₂²×C₄	—	20	2	no	—
1444	C₂²×C₄	—	20	4	no	—
1445	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1446	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1447	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1448	Q₁₆	—	2	2	no	—
1449	Q₁₆	—	10	2	no	—
1450	Q₁₆	—	10	2	no	—
1451	Q₁₆	—	10	2	no	—
1452	SD₁₆	—	2	2	no	—
1453	SD₁₆	—	2	2	no	—
1454	SD₁₆	—	10	2	no	—
1455	SD₁₆	—	10	2	no	—
1456	SD₁₆	—	10	2	no	—
1457	SD₁₆	—	10	2	no	—
1458	SD₁₆	—	10	2	no	—
1459	SD₁₆	—	10	2	no	—
1460	D₈	—	2	2	no	—
1461	D₈	—	10	2	no	—
1462	D₈	—	10	2	no	—
1463	D₈	—	10	2	no	—
1464	C₂×C₈	—	5	1	no	—
1465	C₂×C₈	—	5	1	no	—
1466	C₂×C₈	—	5	1	no	—
1467	C₂×C₈	—	5	1	no	—
1468	C₂×C₈	—	10	2	no	—
1469	C₂×C₈	—	10	2	no	—
1470	C₂×C₈	—	10	2	no	—
1471	C₂×C₈	—	10	2	no	—
1472	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1473	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1474	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1475	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	5	1	no	—
1483	C₄⋊C₄	—	5	1	no	—
1484	C₄⋊C₄	—	5	1	no	—
1485	C₄⋊C₄	—	5	1	no	—
1486	C₄⋊C₄	—	10	1	no	—
1487	C₄⋊C₄	—	10	1	no	—
1488	C₄⋊C₄	—	10	1	no	—
1489	C₄⋊C₄	—	10	1	no	—
1490	C₄⋊C₄	—	10	1	no	—
1491	C₄⋊C₄	—	10	1	no	—
1492	C₄⋊C₄	—	10	1	no	—
1493	C₄⋊C₄	—	10	1	no	—
1494	C₄⋊C₄	—	10	1	no	—
1495	C₄⋊C₄	—	10	1	no	—
1496	C₄⋊C₄	—	10	1	no	—
1497	C₄⋊C₄	—	10	1	no	—
1498	C₄⋊C₄	—	10	1	no	—
1499	C₄⋊C₄	—	10	1	no	—
1500	C₄⋊C₄	—	10	1	no	—
1501	C₄⋊C₄	—	10	1	no	—
1502	C₄⋊C₄	—	10	1	no	—
1503	C₄⋊C₄	—	10	1	no	—
1504	C₄⋊C₄	—	10	1	no	—
1505	C₄⋊C₄	—	10	1	no	—
1506	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1507	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1508	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1509	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₂²⋊C₄	—	10	1	no	—
1527	C₂²⋊C₄	—	10	1	no	—
1528	C₂²⋊C₄	—	10	1	no	—
1529	C₂²⋊C₄	—	10	1	no	—
1530	C₂²⋊C₄	—	10	1	no	—
1531	C₂²⋊C₄	—	10	1	no	—
1532	C₂²⋊C₄	—	10	1	no	—
1533	C₂²⋊C₄	—	10	1	no	—
1534	C₂²⋊C₄	—	10	1	no	—
1535	C₂²⋊C₄	—	10	1	no	—
1536	C₂²⋊C₄	—	10	1	no	—
1537	C₂²⋊C₄	—	10	1	no	—
1538	C₂²⋊C₄	—	10	1	no	—
1539	C₂²⋊C₄	—	10	1	no	—
1540	C₄²	—	2	1	no	—
1541	C₄²	—	2	1	no	—
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	—	5	1	no	—
1545	C₄²	—	5	1	no	—
1546	C₄²	—	5	1	no	—
1547	C₄²	—	5	1	no	—
1548	C₄²	—	5	1	no	—
1549	C₄²	—	5	1	no	—
1550	C₄²	—	5	1	no	—
1551	C₄²	—	5	1	no	—
1552	C₄²	—	5	1	no	—
1553	C₄²	—	5	1	no	—
1554	C₄²	—	5	1	no	—
1555	C₄²	—	5	1	no	—
1556	C₄²	—	10	1	no	—
1557	C₄²	—	10	1	no	—
1558	C₄²	—	10	1	no	—
1559	C₄²	—	10	1	no	—
1560	C₄²	—	10	1	no	—
1561	C₄²	—	10	1	no	—
1562	C₄²	—	10	1	no	—
1563	C₄²	—	10	1	no	—
1564	C₄²	—	10	1	no	—
1565	C₄²	—	10	1	no	—
1566	C₄²	—	10	1	no	—
1567	C₄²	—	10	1	no	—
1568	C₄²	—	10	1	no	—
1569	C₄²	—	10	1	no	—
1570	C₄²	D₄×D₅	1	1	yes	characteristic
1571	C₄²	D₄×D₅	1	1	yes	characteristic
1572	C₄²	C₂³×D₅	1	1	yes	characteristic
1573	C₄²	C₂³×D₅	1	1	yes	characteristic
1574	C₂×C₅	—	4	1	no	—
1575	C₂×C₅	—	4	2	no	—
1576	C₂×C₅	—	8	1	no	—
1577	C₂×C₅	C₂×#525	1	1	yes	characteristic
1578	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1579	C₂×C₅	C₂×#575	1	1	yes	characteristic
1580	D₅	—	2	2	no	—
1581	D₅	—	2	2	no	—
1582	D₅	—	4	2	no	—
1583	D₅	—	8	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	5	1	no	—
1587	C₂³	—	5	1	no	—
1588	C₂³	—	10	2	no	—
1589	C₂³	—	10	2	no	—
1590	C₂³	—	10	4	no	—
1591	C₂³	—	10	1	no	—
1592	C₂³	—	10	1	no	—
1593	C₂³	—	20	1	no	—
1594	C₂³	—	20	2	no	—
1595	C₂³	—	20	2	no	—
1596	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1597	Q₈	—	2	1	no	—
1598	Q₈	—	2	1	no	—
1599	Q₈	—	2	1	no	—
1600	Q₈	—	5	2	no	—
1601	Q₈	—	10	4	no	—
1602	Q₈	—	10	1	no	—
1603	Q₈	—	10	1	no	—
1604	Q₈	—	10	1	no	—
1605	Q₈	—	20	2	no	—
1606	Q₈	—	20	2	no	—
1607	Q₈	D₅×#41	1	2	yes	—
1608	D₄	—	2	4	no	—
1609	D₄	—	2	1	no	—
1610	D₄	—	2	1	no	—
1611	D₄	—	2	1	no	—
1612	D₄	—	4	2	no	—
1613	D₄	—	5	2	no	—
1614	D₄	—	10	4	no	—
1615	D₄	—	10	4	no	—
1616	D₄	—	10	4	no	—
1617	D₄	—	10	4	no	—
1618	D₄	—	10	1	no	—
1619	D₄	—	10	1	no	—
1620	D₄	—	10	1	no	—
1621	D₄	—	20	2	no	—
1622	D₄	—	20	2	no	—
1623	D₄	—	20	2	no	—
1624	D₄	—	20	2	no	—
1625	D₄	—	20	2	no	—
1626	D₄	—	20	2	no	—
1627	D₄	—	20	2	no	—
1628	D₄	D₅×#41	1	2	yes	—
1629	C₂×C₄	—	2	4	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	2	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	4	1	no	—
1640	C₂×C₄	—	4	2	no	—
1641	C₂×C₄	—	4	2	no	—
1642	C₂×C₄	—	4	2	no	—
1643	C₂×C₄	—	5	1	no	—
1644	C₂×C₄	—	5	1	no	—
1645	C₂×C₄	—	5	1	no	—
1646	C₂×C₄	—	5	4	no	—
1647	C₂×C₄	—	5	2	no	—
1648	C₂×C₄	—	5	2	no	—
1649	C₂×C₄	—	5	1	no	—
1650	C₂×C₄	—	5	1	no	—
1651	C₂×C₄	—	5	1	no	—
1652	C₂×C₄	—	10	2	no	—
1653	C₂×C₄	—	10	2	no	—
1654	C₂×C₄	—	10	2	no	—
1655	C₂×C₄	—	10	2	no	—
1656	C₂×C₄	—	10	4	no	—
1657	C₂×C₄	—	10	2	no	—
1658	C₂×C₄	—	10	2	no	—
1659	C₂×C₄	—	10	4	no	—
1660	C₂×C₄	—	10	4	no	—
1661	C₂×C₄	—	10	2	no	—
1662	C₂×C₄	—	10	2	no	—
1663	C₂×C₄	—	10	2	no	—
1664	C₂×C₄	—	10	4	no	—
1665	C₂×C₄	—	10	1	no	—
1666	C₂×C₄	—	10	2	no	—
1667	C₂×C₄	—	10	1	no	—
1668	C₂×C₄	—	10	1	no	—
1669	C₂×C₄	—	10	1	no	—
1670	C₂×C₄	—	10	1	no	—
1671	C₂×C₄	—	10	1	no	—
1672	C₂×C₄	—	10	1	no	—
1673	C₂×C₄	—	10	1	no	—
1674	C₂×C₄	—	20	1	no	—
1675	C₂×C₄	—	20	1	no	—
1676	C₂×C₄	—	20	2	no	—
1677	C₂×C₄	—	20	2	no	—
1678	C₂×C₄	—	20	2	no	—
1679	C₂×C₄	—	20	2	no	—
1680	C₂×C₄	—	20	2	no	—
1681	C₂×C₄	—	20	2	no	—
1682	C₂×C₄	—	20	2	no	—
1683	C₂×C₄	—	20	2	no	—
1684	C₂×C₄	—	20	2	no	—
1685	C₂×C₄	—	20	2	no	—
1686	C₂×C₄	—	20	2	no	—
1687	C₂×C₄	—	20	2	no	—
1688	C₂×C₄	—	20	2	no	—
1689	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1690	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1691	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1692	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1693	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1694	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1695	C₈	—	2	1	no	—
1696	C₈	—	2	1	no	—
1697	C₈	—	2	1	no	—
1698	C₈	—	2	1	no	—
1699	C₈	—	10	1	no	—
1700	C₈	—	10	1	no	—
1701	C₈	—	10	1	no	—
1702	C₈	—	10	1	no	—
1703	C₅	#60536	1	1	yes	characteristic, complemented, Sylow
1704	C₂²	—	2	1	no	—
1705	C₂²	—	2	2	no	—
1706	C₂²	—	2	1	no	—
1707	C₂²	—	2	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	5	2	no	—
1714	C₂²	—	5	2	no	—
1715	C₂²	—	10	1	no	—
1716	C₂²	—	10	1	no	—
1717	C₂²	—	10	1	no	—
1718	C₂²	—	10	1	no	—
1719	C₂²	—	10	2	no	—
1720	C₂²	—	20	4	no	—
1721	C₂²	—	20	8	no	—
1722	C₂²	—	20	1	no	—
1723	C₂²	—	20	1	no	—
1724	C₂²	—	20	1	no	—
1725	C₂²	—	20	1	no	—
1726	C₂²	—	20	1	no	—
1727	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1728	C₄	—	2	1	no	—
1729	C₄	—	2	2	no	—
1730	C₄	—	2	1	no	—
1731	C₄	—	2	1	no	—
1732	C₄	—	2	1	no	—
1733	C₄	—	4	1	no	—
1734	C₄	—	4	1	no	—
1735	C₄	—	4	1	no	—
1736	C₄	—	4	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	5	2	no	—
1739	C₄	—	5	2	no	—
1740	C₄	—	5	2	no	—
1741	C₄	—	10	1	no	—
1742	C₄	—	10	2	no	—
1743	C₄	—	10	1	no	—
1744	C₄	—	10	1	no	—
1745	C₄	—	20	1	no	—
1746	C₄	—	20	1	no	—
1747	C₄	—	20	1	no	—
1748	C₄	—	20	1	no	—
1749	C₄	—	20	1	no	—
1750	C₄	D₅×#135	1	2	yes	—
1751	C₄	C₂×D₅×#41	1	1	yes	characteristic
1752	C₄	C₂×D₅×#41	1	1	yes	characteristic
1753	C₂	—	4	1	no	—
1754	C₂	—	4	2	no	—
1755	C₂	—	8	1	no	—
1756	C₂	—	10	2	no	—
1757	C₂	—	10	2	no	—
1758	C₂	—	20	2	no	—
1759	C₂	—	40	1	no	—
1760	C₂	D₅×#525	1	1	yes	characteristic
1761	C₂	C₂×D₅×#135	1	1	yes	characteristic
1762	C₂	D₅×#575	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3102	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3102	D₅
hypocenter	C₅	#60536
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3102

Complements

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

N	H ≅ G/N	type
1. #10618020	C₂	semidirect
2. C₄×D₅×#41	C₂	semidirect
3. C₅×#3102	C₂	semidirect
4. #10614871	C₂	semidirect
5. #10614259	C₂	semidirect
6. #10613246	C₂	semidirect
7. #10613224	C₂	semidirect
8. #10613102	C₂	semidirect
9. #10613080	C₂	semidirect
10. #10612960	C₂	semidirect
11. #10612936	C₂	semidirect
12. #10612896	C₂	semidirect
13. #10612872	C₂	semidirect
14. #10612328	C₂	semidirect
15. #10612300	C₂	semidirect
16. #10612264	C₂	semidirect
17. #10612236	C₂	semidirect
18. #10611957	C₂	semidirect
19. #10611944	C₂	semidirect
20. #10611813	C₂	semidirect
21. #10611800	C₂	semidirect
22. #10611453	C₂	semidirect
23. C₄×#4065	C₂	semidirect
24. #10611384	C₂	semidirect
25. #10611382	C₂	semidirect
26. C₄×#4062	C₂	semidirect
27. C₄×#4062	C₂	semidirect
28. #10611321	C₂	semidirect
29. C₄×#4058	C₂	semidirect
30. #10611030	C₂	semidirect
31. D₅×#431	C₂	semidirect
33. C₅×#529	C₂²	semidirect
43. #66022	C₂²	semidirect
45. #66002	C₂²	semidirect
49. #65956	C₂²	semidirect
51. #65930	C₂²	semidirect
55. C₄×#713	C₂²	semidirect
69. C₄×#711	C₂²	semidirect
76. #65813	C₂²	semidirect
81. C₅×#485	C₂²	semidirect
82. C₅×#482	C₂²	semidirect
83. C₅×#479	C₂²	semidirect
84. C₅×#478	C₂²	semidirect
85. C₅×#464	C₂²	semidirect
86. C₅×#463	C₂²	semidirect
89. C₄×C₅×Q₁₆	C₂²	semidirect
90. C₄×C₅×SD₁₆	C₂²	semidirect
91. C₄×C₅×SD₁₆	C₂²	semidirect
92. C₄×C₅×D₈	C₂²	semidirect
93. C₅×#431	C₂²	semidirect
97. Q₁₆×Dic₅	C₂²	semidirect
98. #65471	C₂²	semidirect
101. #65452	C₂²	semidirect
102. #65451	C₂²	semidirect
103. SD₁₆×Dic₅	C₂²	semidirect
104. SD₁₆×Dic₅	C₂²	semidirect
106. #65439	C₂²	semidirect
107. D₈×Dic₅	C₂²	semidirect
108. #65355	C₂²	semidirect
109. #65352	C₂²	semidirect
110. #65346	C₂²	semidirect
111. #65343	C₂²	semidirect
113. #65334	C₂²	semidirect
115. #65324	C₂²	semidirect
116. C₄×#689	C₂²	semidirect
117. C₄×#689	C₂²	semidirect
118. #65317	C₂²	semidirect
119. C₄×#688	C₂²	semidirect
120. C₄×#688	C₂²	semidirect
121. #65311	C₂²	semidirect
122. C₄×#687	C₂²	semidirect
123. C₄×#687	C₂²	semidirect
124. #65305	C₂²	semidirect
125. C₄×#686	C₂²	semidirect
126. C₄×#686	C₂²	semidirect
127. #65298	C₂²	semidirect
128. #65292	C₂²	semidirect
129. #65285	C₂²	semidirect
130. #65214	C₂²	semidirect
131. #65179	C₂²	semidirect
134. #65169	C₂²	semidirect
135. #65169	C₂²	semidirect
136. #65164	C₂²	semidirect
137. #65162	C₂²	semidirect
138. #65161	C₂²	semidirect
139. #65159	C₂²	semidirect
142. #65149	C₂²	semidirect
143. #65149	C₂²	semidirect
144. #65143	C₂²	semidirect
145. #65141	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65136	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65133	C₂²	semidirect
152. D₅×C₄⋊C₈	C₂²	semidirect
153. D₅×C₄⋊C₈	C₂²	semidirect
154. #65118	C₂²	semidirect
155. #65107	C₂²	semidirect
162. #65093	C₂²	semidirect
163. #65093	C₂²	semidirect
164. #65083	C₂²	semidirect
165. #65082	C₂²	semidirect
166. #65080	C₂²	semidirect
167. #65079	C₂²	semidirect
168. #65079	C₂²	semidirect
169. #65077	C₂²	semidirect
170. #65077	C₂²	semidirect
171. #65075	C₂²	semidirect
178. #65061	C₂²	semidirect
179. #65061	C₂²	semidirect
180. #65051	C₂²	semidirect
181. #65050	C₂²	semidirect
182. #65048	C₂²	semidirect
183. #65047	C₂²	semidirect
184. #65047	C₂²	semidirect
185. #65045	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65026	C₂²	semidirect
192. #65012	C₂²	semidirect
193. #65007	C₂²	semidirect
194. #65007	C₂²	semidirect
195. C₄×Dic₂₀	C₂²	semidirect
196. C₄×D₄₀	C₂²	semidirect
197. C₄×#677	C₂²	semidirect
198. C₄×#677	C₂²	semidirect
201. C₄×C₈×D₅	C₂²	semidirect
202. C₄×C₈×D₅	C₂²	semidirect
500. #3102	D₅	semidirect
552. #713	#41	semidirect
560. #711	#41	semidirect
753. #529	C₂×D₅	semidirect
787. #485	C₂×D₅	semidirect
795. #482	C₂×D₅	semidirect
803. #479	C₂×D₅	semidirect
807. #478	C₂×D₅	semidirect
819. #464	C₂×D₅	semidirect
823. #463	C₂×D₅	semidirect
855. C₄×Q₁₆	C₂×D₅	semidirect
870. C₄×SD₁₆	C₂×D₅	semidirect
871. C₄×SD₁₆	C₂×D₅	semidirect
879. C₄×D₈	C₂×D₅	semidirect
887. #431	C₂×D₅	semidirect
1007. C₄×D₅	#135	semidirect
1703. C₅	#60536	semidirect

Maximal subgroups

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

subgroup	index
#10618020	2
C₄×D₅×#41	2
C₅×#3102	2
#10614871	2
#10614259	2
#10613246	2
#10613224	2
#10613102	2
#10613080	2
#10612960	2
#10612936	2
#10612896	2
#10612872	2
#10612328	2
#10612300	2
#10612264	2
#10612236	2
#10611957	2
#10611944	2
#10611813	2
#10611800	2
#10611453	2
C₄×#4065	2
#10611384	2
#10611382	2
C₄×#4062	2
#10611321	2
C₄×#4058	2
#10611030	2
D₅×#431	2
#60536	5