Subgroups — #12970926

Order 1280.

2026 conjugacy classes of subgroups.

The subgroup lattice has 1816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618452	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#536	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3225	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615195	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615145	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613607	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613604	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613556	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613555	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613417	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613412	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613335	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613330	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612337	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612332	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612272	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612270	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612211	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612209	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612166	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612162	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612002	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611959	C₂	1	1	yes	maximal, characteristic, complemented
24	D₅×#451	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611911	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611813	C₂	1	1	yes	maximal, characteristic
27	#10611811	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611790	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611770	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611129	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611105	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
34	C₅×#542	C₂²	1	1	yes	characteristic, complemented
35	C₅×#536	C₂²	1	1	yes	characteristic
36	#66159	C₂²	1	1	yes	characteristic
37	#66150	C₂²	1	1	yes	characteristic
38	C₂×#4064	C₂²	1	1	yes	characteristic
39	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4062	C₂²	1	1	yes	characteristic
42	C₂×#4061	C₂²	1	1	yes	characteristic
43	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4058	C₂²	1	1	yes	characteristic
46	#66063	C₂²	1	1	yes	characteristic, complemented
47	#66062	C₂²	1	1	yes	characteristic
48	#66058	C₂²	1	1	yes	characteristic
49	#66058	C₂²	1	1	yes	characteristic
50	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
51	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
52	#66042	—	2	1	no	—
53	#66042	—	2	1	no	—
54	#66014	C₂²	1	1	yes	characteristic
55	#66013	—	2	1	no	—
56	#66009	C₂²	1	1	yes	characteristic
57	#66009	C₂²	1	1	yes	characteristic
58	#66009	C₂²	1	1	yes	characteristic, complemented
59	D₅×#124	C₂²	1	1	yes	characteristic
60	D₅×#124	C₂²	1	1	yes	characteristic
61	#66005	—	2	1	no	—
62	#65993	—	2	1	no	—
63	D₅×#123	—	2	1	no	—
64	D₅×#123	—	2	1	no	—
65	#65984	—	2	1	no	—
66	#65982	—	2	1	no	—
67	#65982	—	2	1	no	—
68	#65973	—	2	1	no	—
69	#65970	—	2	1	no	—
70	#65962	—	2	1	no	—
71	#65962	—	2	1	no	—
72	D₅×C₂²⋊Q₈	—	2	1	no	—
73	D₅×C₂²⋊Q₈	—	2	1	no	—
74	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
75	#65959	C₂²	1	1	yes	characteristic, complemented
76	#65940	C₂²	1	1	yes	characteristic
77	#65937	C₂²	1	1	yes	characteristic, complemented
78	#65912	C₂²	1	1	yes	characteristic
79	#65906	C₂²	1	1	yes	characteristic, complemented
80	#65891	C₂²	1	1	yes	characteristic
81	#65880	C₂²	1	1	yes	characteristic, complemented
82	#65860	C₂²	1	1	yes	characteristic
83	D₅×#117	C₂²	1	1	yes	characteristic
84	#65852	C₂²	1	1	yes	characteristic, complemented
85	C₅×#497	C₂²	1	1	yes	characteristic, complemented
86	C₅×#495	C₂²	1	1	yes	characteristic, complemented
87	C₅×#489	C₂²	1	1	yes	characteristic, complemented
88	C₅×#487	C₂²	1	1	yes	characteristic, complemented
89	C₅×#464	C₂²	1	1	yes	characteristic, complemented
90	C₅×#463	C₂²	1	1	yes	characteristic, complemented
91	C₅×#462	C₂²	1	1	yes	characteristic, complemented
92	C₅×#461	C₂²	1	1	yes	characteristic, complemented
93	C₅×#452	C₂²	1	1	yes	characteristic
94	C₅×#451	C₂²	1	1	yes	characteristic, complemented
95	C₅×#449	C₂²	1	1	yes	characteristic
96	C₅×#448	C₂²	1	1	yes	characteristic, complemented
97	C₅×#433	C₂²	1	1	yes	characteristic, complemented
98	#65528	C₂²	1	1	yes	characteristic
99	#65528	C₂²	1	1	yes	characteristic
100	#65517	C₂²	1	1	yes	characteristic, complemented
101	#65517	C₂²	1	1	yes	characteristic, complemented
102	#65479	C₂²	1	1	yes	characteristic, complemented
103	#65475	C₂²	1	1	yes	characteristic
104	#65475	C₂²	1	1	yes	characteristic
105	#65475	C₂²	1	1	yes	characteristic
106	#65474	C₂²	1	1	yes	characteristic, complemented
107	#65471	C₂²	1	1	yes	characteristic, complemented
108	#65471	C₂²	1	1	yes	characteristic, complemented
109	#65470	C₂²	1	1	yes	characteristic, complemented
110	#65470	C₂²	1	1	yes	characteristic, complemented
111	#65459	C₂²	1	1	yes	characteristic
112	#65459	C₂²	1	1	yes	characteristic
113	#65459	C₂²	1	1	yes	characteristic
114	#65458	C₂²	1	1	yes	characteristic
115	#65457	C₂²	1	1	yes	characteristic, complemented
116	#65456	C₂²	1	1	yes	characteristic, complemented
117	#65456	C₂²	1	1	yes	characteristic, complemented
118	#65456	C₂²	1	1	yes	characteristic, complemented
119	#65455	C₂²	1	1	yes	characteristic, complemented
120	#65454	C₂²	1	1	yes	characteristic, complemented
121	#65451	C₂²	1	1	yes	characteristic, complemented
122	#65451	C₂²	1	1	yes	characteristic, complemented
123	#65445	C₂²	1	1	yes	characteristic
124	#65444	C₂²	1	1	yes	characteristic, complemented
125	#65442	C₂²	1	1	yes	characteristic, complemented
126	#65382	C₂²	1	1	yes	characteristic, complemented
127	#65381	C₂²	1	1	yes	characteristic, complemented
128	#65379	C₂²	1	1	yes	characteristic, complemented
129	#65379	C₂²	1	1	yes	characteristic, complemented
130	#65378	C₂²	1	1	yes	characteristic, complemented
131	#65371	C₂²	1	1	yes	characteristic, complemented
132	#65349	C₂²	1	1	yes	characteristic, complemented
133	#65349	C₂²	1	1	yes	characteristic, complemented
134	#65348	C₂²	1	1	yes	characteristic, complemented
135	#65345	C₂²	1	1	yes	characteristic, complemented
136	#65343	C₂²	1	1	yes	characteristic, complemented
137	#65343	C₂²	1	1	yes	characteristic, complemented
138	#65339	C₂²	1	1	yes	characteristic, complemented
139	#65336	C₂²	1	1	yes	characteristic
140	#65329	C₂²	1	1	yes	characteristic, complemented
141	#65326	C₂²	1	1	yes	characteristic
142	#65320	C₂²	1	1	yes	characteristic, complemented
143	#65317	C₂²	1	1	yes	characteristic, complemented
144	#65308	C₂²	1	1	yes	characteristic, complemented
145	#65305	C₂²	1	1	yes	characteristic, complemented
146	#65289	C₂²	1	1	yes	characteristic, complemented
147	#65138	C₂²	1	1	yes	characteristic, complemented
148	#65138	C₂²	1	1	yes	characteristic, complemented
149	#65134	C₂²	1	1	yes	characteristic, complemented
150	#65134	C₂²	1	1	yes	characteristic, complemented
151	#65128	C₂²	1	1	yes	characteristic, complemented
152	#65128	C₂²	1	1	yes	characteristic, complemented
153	#65124	C₂²	1	1	yes	characteristic
154	#65122	C₂²	1	1	yes	characteristic
155	#65097	C₂²	1	1	yes	characteristic
156	#65097	C₂²	1	1	yes	characteristic
157	#65097	C₂²	1	1	yes	characteristic
158	#65097	C₂²	1	1	yes	characteristic
159	#65097	C₂²	1	1	yes	characteristic
160	#65097	C₂²	1	1	yes	characteristic
161	#65093	C₂²	1	1	yes	characteristic
162	#65092	C₂²	1	1	yes	characteristic
163	#65091	C₂²	1	1	yes	characteristic, complemented
164	#65091	C₂²	1	1	yes	characteristic, complemented
165	D₅×#103	C₂²	1	1	yes	characteristic, complemented
166	D₅×#103	C₂²	1	1	yes	characteristic, complemented
167	#65089	C₂²	1	1	yes	characteristic, complemented
168	#65087	C₂²	1	1	yes	characteristic, complemented
169	#65087	C₂²	1	1	yes	characteristic, complemented
170	#65086	C₂²	1	1	yes	characteristic, complemented
171	#65086	C₂²	1	1	yes	characteristic, complemented
172	#65084	C₂²	1	1	yes	characteristic, complemented
173	#65082	C₂²	1	1	yes	characteristic, complemented
174	#65082	C₂²	1	1	yes	characteristic, complemented
175	#65082	C₂²	1	1	yes	characteristic, complemented
176	#65082	C₂²	1	1	yes	characteristic, complemented
177	#65081	C₂²	1	1	yes	characteristic, complemented
178	#65081	C₂²	1	1	yes	characteristic, complemented
179	#65065	C₂²	1	1	yes	characteristic
180	#65065	C₂²	1	1	yes	characteristic
181	#65061	C₂²	1	1	yes	characteristic
182	#65060	C₂²	1	1	yes	characteristic
183	#65057	C₂²	1	1	yes	characteristic, complemented
184	#65056	C₂²	1	1	yes	characteristic, complemented
185	#65056	C₂²	1	1	yes	characteristic, complemented
186	#65054	C₂²	1	1	yes	characteristic, complemented
187	#65028	C₂²	1	1	yes	characteristic, complemented
188	#65028	C₂²	1	1	yes	characteristic, complemented
189	#65022	C₂²	1	1	yes	characteristic
190	#65022	C₂²	1	1	yes	characteristic
191	#65015	C₂²	1	1	yes	characteristic
192	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
193	#65009	C₂²	1	1	yes	characteristic, complemented
194	#65009	C₂²	1	1	yes	characteristic, complemented
195	#65004	C₂²	1	1	yes	characteristic, complemented
196	#64997	C₂²	1	1	yes	characteristic, complemented
197	#64994	C₂²	1	1	yes	characteristic
198	#64992	C₂²	1	1	yes	characteristic, complemented
199	#64988	C₂²	1	1	yes	characteristic, complemented
200	#64986	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic, complemented
202	#64974	C₂²	1	1	yes	characteristic
203	#60814	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	D₅×#41	—	4	2	no	—
207	D₅×#41	—	4	2	no	—
208	C₂×#713	C₂³	1	1	yes	characteristic
209	C₂×Q₈×D₅	—	2	1	no	—
210	C₂×Q₈×D₅	—	2	1	no	—
211	C₂×Q₈×D₅	—	4	2	no	—
212	C₂×Q₈×D₅	—	4	2	no	—
213	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
219	C₂×#711	—	2	1	no	—
220	C₂×#711	C₂³	1	1	yes	characteristic
221	C₂×#711	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
224	C₂×#709	—	2	1	no	—
225	C₂×#709	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₅	—	2	1	no	—
227	C₂²×C₄×D₅	—	2	1	no	—
228	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
229	C₂²×Dic₁₀	—	2	1	no	—
230	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
231	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
239	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₅×#126	—	2	1	no	—
243	C₅×#124	—	2	1	no	—
244	C₅×#124	C₂³	1	1	yes	characteristic
245	C₅×#124	C₂³	1	1	yes	characteristic
246	C₅×#124	C₂³	1	1	yes	characteristic
247	C₅×#123	—	2	1	no	—
248	C₅×#123	—	2	1	no	—
249	C₅×#123	—	2	1	no	—
250	C₅×C₂²⋊Q₈	—	2	1	no	—
251	C₅×C₂²⋊Q₈	—	2	1	no	—
252	C₅×C₂²⋊Q₈	—	2	1	no	—
253	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₅×#121	C₂³	1	1	yes	characteristic
255	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
256	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
257	C₅×#117	C₂³	1	1	yes	characteristic
258	#4093	C₂³	1	1	yes	characteristic
259	#4093	C₂³	1	1	yes	characteristic
260	#4092	—	2	1	no	—
261	#4092	—	2	1	no	—
262	#4092	—	2	1	no	—
263	#4092	—	2	1	no	—
264	#4092	C₂³	1	1	yes	characteristic
265	Q₈×Dic₅	—	2	1	no	—
266	Q₈×Dic₅	C₂³	1	1	yes	characteristic
267	#4090	—	2	1	no	—
268	#4090	C₂³	1	1	yes	characteristic
269	#4090	C₂³	1	1	yes	characteristic
270	#4090	C₂³	1	1	yes	characteristic
271	#4090	C₂³	1	1	yes	characteristic
272	#4090	C₂³	1	1	yes	characteristic
273	C₂×#689	C₂³	1	1	yes	characteristic
274	C₂×#689	C₂³	1	1	yes	characteristic
275	C₂×#689	C₂³	1	1	yes	characteristic
276	C₂×#689	C₂³	1	1	yes	characteristic
277	C₂×#689	C₂³	1	1	yes	characteristic
278	C₂×#689	C₂³	1	1	yes	characteristic
279	C₂×#689	C₂³	1	1	yes	characteristic
280	C₂×#689	C₂³	1	1	yes	characteristic
281	C₂×#689	C₂³	1	1	yes	characteristic
282	C₂×#688	C₂³	1	1	yes	characteristic
283	#4084	C₂³	1	1	yes	characteristic
284	#4083	—	2	1	no	—
285	#4082	—	2	1	no	—
286	#4082	C₂³	1	1	yes	characteristic
287	#4082	C₂³	1	1	yes	characteristic
288	#4082	C₂³	1	1	yes	characteristic
289	#4081	—	2	1	no	—
290	#4081	—	2	1	no	—
291	#4081	—	2	1	no	—
292	D₄×Dic₅	—	2	1	no	—
293	D₄×Dic₅	C₂³	1	1	yes	characteristic
294	C₂×#687	C₂³	1	1	yes	characteristic
295	C₂×#687	C₂³	1	1	yes	characteristic
296	C₂×#687	C₂³	1	1	yes	characteristic
297	C₂×#687	C₂³	1	1	yes	characteristic
298	C₂×#687	C₂³	1	1	yes	characteristic
299	C₂×#686	C₂³	1	1	yes	characteristic
300	#4075	—	2	1	no	—
301	#4075	—	2	1	no	—
302	C₄×C₂²⋊D₅	—	2	1	no	—
303	C₄×C₂²⋊D₅	—	2	1	no	—
304	#4072	—	2	1	no	—
305	#4072	C₂³	1	1	yes	characteristic
306	#4070	—	2	1	no	—
307	#4070	—	2	1	no	—
308	#4070	C₂³	1	1	yes	characteristic
309	#4070	C₂³	1	1	yes	characteristic
310	C₂×#683	—	2	1	no	—
311	#4064	—	4	2	no	—
312	D₅×Q₁₆	—	4	2	no	—
313	D₅×Q₁₆	—	4	2	no	—
314	#4062	—	4	2	no	—
315	#4061	—	4	2	no	—
316	#4061	—	4	2	no	—
317	#4061	—	4	2	no	—
318	#4058	—	4	2	no	—
319	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
320	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
321	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
322	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
323	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
324	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
325	C₂×#677	C₂³	1	1	yes	characteristic
326	C₂×#677	C₂³	1	1	yes	characteristic
327	C₂×#676	C₂³	1	1	yes	characteristic
328	C₂×#676	C₂³	1	1	yes	characteristic
329	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
330	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
331	#4043	—	2	1	no	—
332	#4043	—	2	1	no	—
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	#4042	—	2	1	no	—
339	#4042	—	2	1	no	—
340	#4042	—	2	1	no	—
341	#4042	—	2	1	no	—
342	#4040	—	2	1	no	—
343	#4040	—	2	1	no	—
344	#4040	—	2	1	no	—
345	#4040	—	2	1	no	—
346	#4038	—	2	1	no	—
347	#4038	—	2	1	no	—
348	#4038	D₄	1	1	yes	characteristic
349	#4038	D₄	1	1	yes	characteristic
350	#4038	C₂³	1	1	yes	characteristic
351	D₅×C₄⋊C₄	—	2	1	no	—
352	D₅×C₄⋊C₄	—	2	1	no	—
353	D₅×C₄⋊C₄	—	2	1	no	—
354	D₅×C₄⋊C₄	—	2	1	no	—
355	D₅×C₄⋊C₄	—	2	1	no	—
356	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
357	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
358	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
359	#4036	—	2	1	no	—
360	#4036	—	2	1	no	—
361	#4036	C₂³	1	1	yes	characteristic
362	#4035	—	2	1	no	—
363	#4035	—	2	1	no	—
364	#4035	—	2	1	no	—
365	#4035	—	2	1	no	—
366	#4035	—	2	1	no	—
367	#4034	—	2	1	no	—
368	#4034	—	2	1	no	—
369	#4034	—	2	1	no	—
370	#4034	—	2	1	no	—
371	#4034	C₂³	1	1	yes	characteristic
372	#4033	—	2	1	no	—
373	#4033	C₂³	1	1	yes	characteristic
374	#4033	C₂³	1	1	yes	characteristic
375	#4032	—	2	1	no	—
376	#4032	—	2	1	no	—
377	#4031	—	2	1	no	—
378	#4031	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4029	—	2	1	no	—
383	#4029	—	2	1	no	—
384	#4029	—	2	1	no	—
385	#4029	—	2	1	no	—
386	#4029	—	2	1	no	—
387	#4029	—	2	1	no	—
388	#4029	—	2	1	no	—
389	#4029	—	2	1	no	—
390	#4027	—	2	1	no	—
391	#4027	—	2	1	no	—
392	#4027	—	2	1	no	—
393	D₅×C₂²⋊C₄	—	2	1	no	—
394	D₅×C₂²⋊C₄	—	2	1	no	—
395	D₅×C₂²⋊C₄	—	2	1	no	—
396	D₅×C₂²⋊C₄	—	2	1	no	—
397	D₅×C₂²⋊C₄	—	2	1	no	—
398	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
399	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
400	#4025	—	2	1	no	—
401	#4025	—	2	1	no	—
402	#4025	—	2	1	no	—
403	#4025	—	2	1	no	—
404	#4025	—	2	1	no	—
405	#4025	—	2	1	no	—
406	#4025	—	2	1	no	—
407	#4024	—	2	1	no	—
408	#4024	—	2	1	no	—
409	#4024	—	2	1	no	—
410	#4024	—	2	1	no	—
411	#4024	—	2	1	no	—
412	#4024	—	2	1	no	—
413	#4024	—	2	1	no	—
414	#4024	—	2	1	no	—
415	#4023	—	2	1	no	—
416	#4023	—	2	1	no	—
417	#4023	D₄	1	1	yes	characteristic
418	#4023	D₄	1	1	yes	characteristic
419	#4021	C₂³	1	1	yes	characteristic
420	#4021	C₂³	1	1	yes	characteristic
421	#4018	—	2	1	no	—
422	#4018	—	2	1	no	—
423	#4018	C₂³	1	1	yes	characteristic
424	#4018	C₂³	1	1	yes	characteristic
425	C₄²×D₅	C₂³	1	1	yes	characteristic
426	C₄²×D₅	C₂³	1	1	yes	characteristic
427	#4016	C₂³	1	1	yes	characteristic
428	#4015	C₂³	1	1	yes	characteristic
429	#4015	C₂³	1	1	yes	characteristic
430	#4015	C₂³	1	1	yes	characteristic
431	C₄×Dic₁₀	—	2	1	no	—
432	C₄×Dic₁₀	—	2	1	no	—
433	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
434	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
435	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₅×#103	C₂³	1	1	yes	characteristic
438	C₅×#103	C₂³	1	1	yes	characteristic
439	C₅×#103	C₂³	1	1	yes	characteristic
440	C₅×#103	C₂³	1	1	yes	characteristic
441	C₅×#103	C₂³	1	1	yes	characteristic
442	C₅×#103	C₂³	1	1	yes	characteristic
443	C₅×#102	C₂³	1	1	yes	characteristic
444	C₅×#102	C₂³	1	1	yes	characteristic
445	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
447	C₅×#97	C₂³	1	1	yes	characteristic
448	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
449	#3967	C₂³	1	1	yes	characteristic
450	#3967	C₂³	1	1	yes	characteristic
451	#3967	C₂³	1	1	yes	characteristic
452	#3967	C₂³	1	1	yes	characteristic
453	#3967	C₂³	1	1	yes	characteristic
454	#3967	C₂³	1	1	yes	characteristic
455	#3964	C₂³	1	1	yes	characteristic
456	#3964	C₂³	1	1	yes	characteristic
457	C₂²⋊#168	C₂³	1	1	yes	characteristic
458	C₂²⋊#168	C₂³	1	1	yes	characteristic
459	#3953	C₂³	1	1	yes	characteristic
460	#3953	C₂³	1	1	yes	characteristic
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3948	C₂³	1	1	yes	characteristic
467	#3948	C₂³	1	1	yes	characteristic
468	#3948	C₂³	1	1	yes	characteristic
469	#3948	C₂³	1	1	yes	characteristic
470	#3948	C₂³	1	1	yes	characteristic
471	#3947	C₂³	1	1	yes	characteristic
472	#3947	C₂³	1	1	yes	characteristic
473	#3946	C₂³	1	1	yes	characteristic
474	#3946	C₂³	1	1	yes	characteristic
475	#3946	C₂³	1	1	yes	characteristic
476	#3946	C₂³	1	1	yes	characteristic
477	C₈×Dic₅	C₂³	1	1	yes	characteristic
478	C₈×Dic₅	C₂³	1	1	yes	characteristic
479	#3942	C₂³	1	1	yes	characteristic
480	#3942	C₂³	1	1	yes	characteristic
481	#3942	C₂³	1	1	yes	characteristic
482	#3942	C₂³	1	1	yes	characteristic
483	#3942	C₂³	1	1	yes	characteristic
484	#3942	C₂³	1	1	yes	characteristic
485	#3941	C₂³	1	1	yes	characteristic
486	#3941	C₂³	1	1	yes	characteristic
487	C₄⋊#168	C₂³	1	1	yes	characteristic
488	C₄⋊#168	C₂³	1	1	yes	characteristic
489	#3935	C₂³	1	1	yes	characteristic
490	C₄×#168	C₂³	1	1	yes	characteristic
491	#3495	—	5	1	no	—
492	C₂×#536	—	5	1	no	—
493	#3225	—	5	1	no	—
494	#3225	—	5	1	no	—
495	#3225	—	5	1	no	—
496	#3225	D₅	1	1	yes	characteristic, complemented
497	#3223	—	5	1	no	—
498	#3223	—	5	1	no	—
499	#3223	—	5	1	no	—
500	#3223	—	5	1	no	—
501	#3218	—	5	1	no	—
502	#3218	—	5	1	no	—
503	#3215	—	5	1	no	—
504	#3215	—	5	1	no	—
505	#3211	—	5	1	no	—
506	#3211	—	5	1	no	—
507	#3209	—	5	1	no	—
508	#3209	—	5	1	no	—
509	#3156	—	5	1	no	—
510	#3156	—	5	1	no	—
511	#3137	—	5	1	no	—
512	#3137	—	5	1	no	—
513	#3046	—	5	1	no	—
514	#3046	—	5	1	no	—
515	#3044	—	5	1	no	—
516	#3044	—	5	1	no	—
517	#3007	—	5	1	no	—
518	#3004	—	5	1	no	—
519	#3002	—	5	1	no	—
520	C₂×#451	—	5	1	no	—
521	#2924	—	5	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
524	C₅×#41	—	4	1	no	—
525	C₅×#41	—	4	1	no	—
526	C₂×C₅×Q₈	—	2	1	no	—
527	C₂×C₅×Q₈	—	2	1	no	—
528	C₂×C₅×Q₈	—	4	1	no	—
529	C₂×C₅×Q₈	—	4	1	no	—
530	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
534	C₂×C₅×D₄	—	2	1	no	—
535	C₂×C₅×D₄	—	2	1	no	—
536	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
537	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₂²×Dic₅	—	2	1	no	—
548	C₂²×Dic₅	—	2	1	no	—
549	C₂²×Dic₅	—	2	1	no	—
550	C₂²×Dic₅	—	2	1	no	—
551	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
552	#713	—	2	2	no	—
553	#713	—	2	2	no	—
554	Q₈×D₅	—	2	2	no	—
555	Q₈×D₅	—	2	2	no	—
556	Q₈×D₅	—	2	2	no	—
557	Q₈×D₅	—	2	2	no	—
558	Q₈×D₅	—	2	2	no	—
559	Q₈×D₅	—	2	2	no	—
560	Q₈×D₅	—	4	1	no	—
561	Q₈×D₅	—	4	1	no	—
562	Q₈×D₅	—	4	1	no	—
563	Q₈×D₅	—	4	1	no	—
564	Q₈×D₅	—	4	1	no	—
565	Q₈×D₅	—	4	1	no	—
566	Q₈×D₅	—	4	4	no	—
567	Q₈×D₅	—	4	4	no	—
568	#711	—	2	2	no	—
569	#711	—	2	2	no	—
570	#711	—	2	2	no	—
571	#711	—	2	2	no	—
572	#711	—	4	4	no	—
573	D₄×D₅	—	4	1	no	—
574	D₄×D₅	—	4	1	no	—
575	D₄×D₅	—	4	4	no	—
576	#709	—	4	1	no	—
577	#709	—	4	1	no	—
578	#709	—	4	4	no	—
579	C₂×D₂₀	—	2	1	no	—
580	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
581	C₂×C₄×D₅	—	2	2	no	—
582	C₂×C₄×D₅	—	2	2	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	—	2	1	no	—
590	C₂×C₄×D₅	—	2	1	no	—
591	C₂×C₄×D₅	—	2	1	no	—
592	C₂×C₄×D₅	—	4	4	no	—
593	C₂×C₄×D₅	—	4	4	no	—
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	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
602	C₂×Dic₁₀	—	2	1	no	—
603	C₂×Dic₁₀	—	2	1	no	—
604	C₂×Dic₁₀	—	2	1	no	—
605	C₂×Dic₁₀	—	2	1	no	—
606	C₂×Dic₁₀	—	2	1	no	—
607	C₂×Dic₁₀	—	2	1	no	—
608	C₂×Dic₁₀	—	2	1	no	—
609	C₂×Dic₁₀	—	2	1	no	—
610	C₂×Dic₁₀	—	4	1	no	—
611	C₂×Dic₁₀	—	4	1	no	—
612	C₂×Dic₁₀	—	4	4	no	—
613	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
614	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
615	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
616	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
617	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
618	C₅×Q₁₆	—	4	1	no	—
619	C₅×Q₁₆	—	4	1	no	—
620	C₅×Q₁₆	—	4	1	no	—
621	C₅×SD₁₆	—	4	1	no	—
622	C₅×SD₁₆	—	4	1	no	—
623	C₅×SD₁₆	—	4	1	no	—
624	C₅×SD₁₆	—	4	1	no	—
625	C₅×D₈	—	4	1	no	—
626	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
627	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
628	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
629	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
630	C₅×C₄⋊C₄	—	2	1	no	—
631	C₅×C₄⋊C₄	—	2	1	no	—
632	C₅×C₄⋊C₄	—	2	1	no	—
633	C₅×C₄⋊C₄	—	2	1	no	—
634	C₅×C₄⋊C₄	—	2	1	no	—
635	C₅×C₄⋊C₄	—	2	1	no	—
636	C₅×C₄⋊C₄	—	2	1	no	—
637	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₅×C₂²⋊C₄	—	2	1	no	—
642	C₅×C₂²⋊C₄	—	2	1	no	—
643	C₅×C₂²⋊C₄	—	2	1	no	—
644	C₅×C₂²⋊C₄	—	2	1	no	—
645	C₅×C₂²⋊C₄	—	2	1	no	—
646	C₅×C₂²⋊C₄	—	2	1	no	—
647	C₅×C₂²⋊C₄	—	2	1	no	—
648	C₅×C₂²⋊C₄	—	2	1	no	—
649	C₅×C₂²⋊C₄	—	2	1	no	—
650	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₄²×C₅	—	2	1	no	—
653	C₄²×C₅	C₂⁴	1	1	yes	characteristic
654	C₄²×C₅	C₂⁴	1	1	yes	characteristic
655	C₂²⋊Dic₅	—	2	1	no	—
656	C₂²⋊Dic₅	—	2	1	no	—
657	C₂²⋊Dic₅	—	2	1	no	—
658	C₂²⋊Dic₅	—	2	1	no	—
659	C₂²⋊Dic₅	—	2	1	no	—
660	C₂²⋊Dic₅	—	2	1	no	—
661	C₂²⋊Dic₅	—	2	1	no	—
662	C₂²⋊Dic₅	—	2	1	no	—
663	C₂²⋊Dic₅	—	2	1	no	—
664	C₂²⋊Dic₅	—	2	1	no	—
665	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
667	#689	—	4	1	no	—
668	#689	—	4	1	no	—
669	#689	—	4	1	no	—
670	#689	—	4	1	no	—
671	#689	—	4	1	no	—
672	#689	—	4	1	no	—
673	#689	—	4	1	no	—
674	#689	—	4	1	no	—
675	#689	—	4	1	no	—
676	#688	—	4	1	no	—
677	#687	—	4	1	no	—
678	#687	—	4	1	no	—
679	#687	—	4	1	no	—
680	#687	—	4	1	no	—
681	#687	—	4	1	no	—
682	#686	—	4	1	no	—
683	#685	—	2	1	no	—
684	#685	—	2	1	no	—
685	#685	—	2	1	no	—
686	#685	—	2	1	no	—
687	#685	—	2	1	no	—
688	#685	—	2	1	no	—
689	#685	—	2	1	no	—
690	#685	—	2	1	no	—
691	#685	—	2	1	no	—
692	#685	—	2	1	no	—
693	#685	—	2	1	no	—
694	#685	—	2	1	no	—
695	#685	C₂×D₄	1	1	yes	characteristic
696	#685	C₂×D₄	1	1	yes	characteristic
697	#685	C₂×D₄	1	1	yes	characteristic
698	#685	C₂×D₄	1	1	yes	characteristic
699	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	C₂×D₄	1	1	yes	characteristic
710	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
711	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
712	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
713	#683	—	2	1	no	—
714	#683	—	2	1	no	—
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	—	2	1	no	—
723	#683	—	2	1	no	—
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	—	2	1	no	—
727	#683	—	2	1	no	—
728	#683	—	2	1	no	—
729	#683	—	2	1	no	—
730	#683	—	2	1	no	—
731	#683	—	2	1	no	—
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	C₂×D₄	1	1	yes	characteristic
736	#683	C₂×D₄	1	1	yes	characteristic
737	#683	C₂×D₄	1	1	yes	characteristic
738	#683	C₂×D₄	1	1	yes	characteristic
739	C₄×Dic₅	—	2	1	no	—
740	C₄×Dic₅	—	2	1	no	—
741	C₄×Dic₅	—	2	1	no	—
742	C₄×Dic₅	—	2	1	no	—
743	C₄×Dic₅	—	2	1	no	—
744	C₄×Dic₅	—	2	1	no	—
745	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
746	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
747	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
748	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
749	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
750	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
751	C₂×#168	C₂⁴	1	1	yes	characteristic
752	C₂×#168	C₂⁴	1	1	yes	characteristic
753	C₂×#168	C₂⁴	1	1	yes	characteristic
754	C₂×#168	C₂⁴	1	1	yes	characteristic
755	Dic₂₀	—	4	1	no	—
756	Dic₂₀	—	4	1	no	—
757	Dic₂₀	—	4	1	no	—
758	Dic₂₀	—	4	1	no	—
759	Dic₂₀	—	4	1	no	—
760	Dic₂₀	—	4	1	no	—
761	#677	—	4	1	no	—
762	#677	—	4	1	no	—
763	#676	—	2	2	no	—
764	#676	—	2	2	no	—
765	C₈×D₅	—	2	2	no	—
766	C₈×D₅	—	2	2	no	—
767	C₂²×#41	—	5	1	no	—
768	C₂³×Q₈	—	5	1	no	—
769	C₂×#137	—	5	1	no	—
770	C₂×#137	—	5	1	no	—
771	C₂×#137	—	5	1	no	—
772	C₂×#137	—	5	1	no	—
773	C₂×#135	—	5	1	no	—
774	C₂×#135	—	5	1	no	—
775	C₂²×Q₁₆	—	5	1	no	—
776	C₂²×Q₁₆	—	5	1	no	—
777	#556	—	10	1	no	—
778	#554	—	10	1	no	—
779	#552	—	10	1	no	—
780	#552	—	10	1	no	—
781	#552	—	10	1	no	—
782	#552	—	10	1	no	—
783	#551	—	10	1	no	—
784	#551	—	10	1	no	—
785	#544	—	5	1	no	—
786	#542	—	5	1	no	—
787	#542	C₂×D₅	1	1	yes	characteristic, complemented
788	#541	—	5	1	no	—
789	#541	—	5	1	no	—
790	#536	—	5	1	no	—
791	#536	—	5	1	no	—
792	#536	—	5	1	no	—
793	#536	—	5	1	no	—
794	#536	—	5	1	no	—
795	#536	—	5	1	no	—
796	#536	—	5	1	no	—
797	#536	—	5	1	no	—
798	#536	—	10	1	no	—
799	#536	—	10	1	no	—
800	#536	—	10	1	no	—
801	#536	—	10	1	no	—
802	#536	C₂×D₅	1	1	yes	characteristic
803	#533	—	5	1	no	—
804	#533	—	5	1	no	—
805	C₂×C₄⋊Q₈	—	5	1	no	—
806	C₂×C₄⋊Q₈	—	5	1	no	—
807	#529	—	5	1	no	—
808	#529	—	5	1	no	—
809	C₂×#124	—	5	1	no	—
810	C₂×#124	—	5	1	no	—
811	#525	—	5	1	no	—
812	C₂×#123	—	10	1	no	—
813	C₂×#123	—	10	1	no	—
814	C₂×C₂²⋊Q₈	—	5	1	no	—
815	C₂×C₂²⋊Q₈	—	10	1	no	—
816	C₂×C₂²⋊Q₈	—	10	1	no	—
817	#520	—	5	1	no	—
818	#519	—	5	1	no	—
819	C₂×#117	—	5	1	no	—
820	#497	—	5	1	no	—
821	#497	—	5	1	no	—
822	#497	—	5	1	no	—
823	#497	—	5	1	no	—
824	#497	—	5	1	no	—
825	#497	—	5	1	no	—
826	#497	—	5	1	no	—
827	#497	C₂×D₅	1	1	yes	characteristic, complemented
828	#495	—	5	1	no	—
829	#495	—	5	1	no	—
830	#495	—	5	1	no	—
831	#495	C₂×D₅	1	1	yes	characteristic, complemented
832	#494	—	5	1	no	—
833	#494	—	5	1	no	—
834	#494	—	5	1	no	—
835	#494	—	5	1	no	—
836	#491	—	5	1	no	—
837	#491	—	5	1	no	—
838	#491	—	5	1	no	—
839	#491	—	5	1	no	—
840	#489	—	5	1	no	—
841	#489	—	5	1	no	—
842	#489	—	5	1	no	—
843	#489	C₂×D₅	1	1	yes	characteristic, complemented
844	#488	—	5	1	no	—
845	#488	—	5	1	no	—
846	#488	—	5	1	no	—
847	#488	—	5	1	no	—
848	#487	—	5	1	no	—
849	#487	—	5	1	no	—
850	#487	—	5	1	no	—
851	#487	C₂×D₅	1	1	yes	characteristic, complemented
852	#464	—	5	1	no	—
853	#464	—	5	1	no	—
854	#464	—	5	1	no	—
855	#464	—	5	1	no	—
856	#464	—	5	1	no	—
857	#464	—	5	1	no	—
858	#464	—	5	1	no	—
859	#464	—	5	1	no	—
860	#464	—	5	1	no	—
861	#464	—	5	1	no	—
862	#464	—	5	1	no	—
863	#464	C₂×D₅	1	1	yes	characteristic, complemented
864	#463	—	5	1	no	—
865	#463	—	5	1	no	—
866	#463	—	5	1	no	—
867	#463	C₂×D₅	1	1	yes	characteristic, complemented
868	#462	—	5	1	no	—
869	#462	—	5	1	no	—
870	#462	—	5	1	no	—
871	#462	—	5	1	no	—
872	#462	—	5	1	no	—
873	#462	—	5	1	no	—
874	#462	—	5	1	no	—
875	#462	—	5	1	no	—
876	#462	—	5	1	no	—
877	#462	—	5	1	no	—
878	#462	—	5	1	no	—
879	#462	C₂×D₅	1	1	yes	characteristic, complemented
880	#461	—	5	1	no	—
881	#461	—	5	1	no	—
882	#461	—	5	1	no	—
883	#461	C₂×D₅	1	1	yes	characteristic, complemented
884	#452	—	5	1	no	—
885	#452	—	5	1	no	—
886	#452	—	5	1	no	—
887	#452	—	5	1	no	—
888	#452	—	5	1	no	—
889	#452	C₂×D₅	1	1	yes	characteristic
890	#451	—	5	1	no	—
891	#451	—	5	1	no	—
892	#451	—	5	1	no	—
893	#451	—	5	1	no	—
894	#451	—	5	1	no	—
895	#451	—	5	1	no	—
896	#451	—	5	1	no	—
897	#451	—	5	1	no	—
898	#451	—	5	1	no	—
899	#451	—	5	1	no	—
900	#451	—	5	1	no	—
901	#451	—	5	1	no	—
902	#451	—	5	1	no	—
903	#451	—	5	1	no	—
904	#451	C₂×D₅	1	1	yes	characteristic, complemented
905	#450	—	5	1	no	—
906	#450	—	5	1	no	—
907	#450	—	5	1	no	—
908	#449	—	5	1	no	—
909	#449	C₂×D₅	1	1	yes	characteristic
910	#448	—	5	1	no	—
911	#448	—	5	1	no	—
912	#448	—	5	1	no	—
913	#448	—	5	1	no	—
914	#448	C₂×D₅	1	1	yes	characteristic, complemented
915	#447	—	5	1	no	—
916	#433	—	5	1	no	—
917	#433	—	5	1	no	—
918	#433	—	5	1	no	—
919	#433	C₂×D₅	1	1	yes	characteristic, complemented
920	#432	—	5	1	no	—
921	#432	—	5	1	no	—
922	#431	—	5	1	no	—
923	#431	—	5	1	no	—
924	#424	—	5	1	no	—
925	#424	—	5	1	no	—
926	#419	—	5	1	no	—
927	#419	—	5	1	no	—
928	#417	—	5	1	no	—
929	#417	—	5	1	no	—
930	#416	—	5	1	no	—
931	#416	—	5	1	no	—
932	C₂×#103	—	5	1	no	—
933	C₂×#103	—	5	1	no	—
934	#407	—	5	1	no	—
935	C₂×C₂²⋊C₈	—	5	1	no	—
936	#405	—	5	1	no	—
937	#405	—	5	1	no	—
938	C₂³×C₅	—	2	1	no	—
939	C₂³×C₅	—	2	1	no	—
940	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
941	C₂²×D₅	—	2	2	no	—
942	C₂²×D₅	—	2	2	no	—
943	C₂²×D₅	—	2	1	no	—
944	C₂²×D₅	—	4	1	no	—
945	C₂²×D₅	—	4	2	no	—
946	C₂²×D₅	—	4	2	no	—
947	C₂²×D₅	—	4	2	no	—
948	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
949	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
950	C₅×Q₈	—	2	1	no	—
951	C₅×Q₈	—	2	1	no	—
952	C₅×Q₈	—	2	1	no	—
953	C₅×Q₈	—	2	1	no	—
954	C₅×Q₈	—	2	1	no	—
955	C₅×Q₈	—	2	1	no	—
956	C₅×Q₈	—	2	1	no	—
957	C₅×Q₈	—	2	1	no	—
958	C₅×Q₈	—	4	2	no	—
959	C₅×Q₈	—	8	1	no	—
960	C₅×D₄	—	2	1	no	—
961	C₅×D₄	—	2	1	no	—
962	C₅×D₄	—	2	1	no	—
963	C₅×D₄	—	2	1	no	—
964	C₅×D₄	—	4	2	no	—
965	C₅×D₄	—	8	1	no	—
966	C₂×C₄×C₅	—	2	1	no	—
967	C₂×C₄×C₅	—	2	1	no	—
968	C₂×C₄×C₅	—	2	1	no	—
969	C₂×C₄×C₅	—	2	1	no	—
970	C₂×C₄×C₅	—	2	1	no	—
971	C₂×C₄×C₅	—	2	1	no	—
972	C₂×C₄×C₅	—	2	1	no	—
973	C₂×C₄×C₅	—	2	1	no	—
974	C₂×C₄×C₅	—	4	2	no	—
975	C₂×C₄×C₅	—	4	2	no	—
976	C₂×C₄×C₅	—	8	1	no	—
977	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
978	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
979	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
980	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
981	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
982	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
983	C₂²⋊D₅	—	4	2	no	—
984	C₂²⋊D₅	—	4	2	no	—
985	C₂²⋊D₅	—	4	2	no	—
986	C₂²⋊D₅	—	4	2	no	—
987	C₂²⋊D₅	—	4	2	no	—
988	C₂×Dic₅	—	2	2	no	—
989	C₂×Dic₅	—	2	1	no	—
990	C₂×Dic₅	—	2	1	no	—
991	C₂×Dic₅	—	2	1	no	—
992	C₂×Dic₅	—	2	1	no	—
993	C₂×Dic₅	—	2	1	no	—
994	C₂×Dic₅	—	2	1	no	—
995	C₂×Dic₅	—	2	1	no	—
996	C₂×Dic₅	—	4	2	no	—
997	C₂×Dic₅	—	4	2	no	—
998	C₂×Dic₅	—	4	2	no	—
999	C₂×Dic₅	—	8	1	no	—
1000	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1001	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1002	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1003	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1004	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1005	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1006	D₂₀	—	2	1	no	—
1007	D₂₀	—	2	1	no	—
1008	D₂₀	—	4	2	no	—
1009	C₄×D₅	—	2	2	no	—
1010	C₄×D₅	—	2	2	no	—
1011	C₄×D₅	—	2	2	no	—
1012	C₄×D₅	—	2	1	no	—
1013	C₄×D₅	—	2	1	no	—
1014	C₄×D₅	—	2	2	no	—
1015	C₄×D₅	—	4	1	no	—
1016	C₄×D₅	—	4	1	no	—
1017	C₄×D₅	—	4	2	no	—
1018	C₄×D₅	—	4	2	no	—
1019	C₄×D₅	—	4	2	no	—
1020	C₄×D₅	—	4	2	no	—
1021	C₄×D₅	—	4	2	no	—
1022	C₄×D₅	—	4	2	no	—
1023	C₄×D₅	—	4	2	no	—
1024	C₄×D₅	—	4	2	no	—
1025	C₄×D₅	—	8	1	no	—
1026	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1027	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1028	Dic₁₀	—	2	1	no	—
1029	Dic₁₀	—	2	1	no	—
1030	Dic₁₀	—	2	1	no	—
1031	Dic₁₀	—	2	1	no	—
1032	Dic₁₀	—	2	1	no	—
1033	Dic₁₀	—	2	1	no	—
1034	Dic₁₀	—	2	1	no	—
1035	Dic₁₀	—	2	1	no	—
1036	Dic₁₀	—	2	1	no	—
1037	Dic₁₀	—	2	1	no	—
1038	Dic₁₀	—	4	2	no	—
1039	Dic₁₀	—	4	2	no	—
1040	Dic₁₀	—	4	2	no	—
1041	Dic₁₀	—	4	2	no	—
1042	Dic₁₀	—	4	2	no	—
1043	Dic₁₀	—	4	2	no	—
1044	Dic₁₀	—	4	2	no	—
1045	Dic₁₀	—	8	1	no	—
1046	C₅×C₈	—	2	1	no	—
1047	C₅×C₈	—	2	1	no	—
1048	C₅×C₈	—	2	1	no	—
1049	C₅×C₈	—	2	1	no	—
1050	#168	—	2	1	no	—
1051	#168	—	2	1	no	—
1052	#168	—	2	1	no	—
1053	#168	—	2	1	no	—
1054	C₂×#41	—	5	1	no	—
1055	C₂×#41	—	5	1	no	—
1056	C₂×#41	—	5	1	no	—
1057	C₂×#41	—	5	1	no	—
1058	C₂×#41	—	10	1	no	—
1059	C₂×#41	—	10	1	no	—
1060	C₂×#41	—	20	2	no	—
1061	C₂×#41	—	20	2	no	—
1062	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1063	C₂²×Q₈	—	5	1	no	—
1064	C₂²×Q₈	—	5	1	no	—
1065	C₂²×Q₈	—	5	1	no	—
1066	C₂²×Q₈	—	5	1	no	—
1067	C₂²×Q₈	—	5	1	no	—
1068	C₂²×Q₈	—	5	1	no	—
1069	C₂²×Q₈	—	5	1	no	—
1070	C₂²×Q₈	—	10	1	no	—
1071	C₂²×Q₈	—	10	1	no	—
1072	C₂²×Q₈	—	10	1	no	—
1073	C₂²×Q₈	—	20	2	no	—
1074	C₂²×Q₈	—	20	2	no	—
1075	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1076	C₂²×D₄	—	5	1	no	—
1077	C₂²×D₄	—	10	1	no	—
1078	C₂³×C₄	—	5	1	no	—
1079	C₂³×C₄	—	10	1	no	—
1080	C₂³×C₄	—	10	1	no	—
1081	#137	—	20	2	no	—
1082	#137	—	20	2	no	—
1083	#137	—	20	2	no	—
1084	#137	—	20	2	no	—
1085	#135	—	20	2	no	—
1086	#135	—	20	2	no	—
1087	C₂×Q₁₆	—	5	1	no	—
1088	C₂×Q₁₆	—	5	1	no	—
1089	C₂×Q₁₆	—	5	1	no	—
1090	C₂×Q₁₆	—	5	1	no	—
1091	C₂×Q₁₆	—	5	1	no	—
1092	C₂×Q₁₆	—	5	1	no	—
1093	C₂×Q₁₆	—	5	1	no	—
1094	C₂×Q₁₆	—	5	1	no	—
1095	C₂×Q₁₆	—	5	1	no	—
1096	C₂×Q₁₆	—	5	1	no	—
1097	C₂×Q₁₆	—	5	1	no	—
1098	C₂×Q₁₆	—	5	1	no	—
1099	C₂×Q₁₆	—	5	1	no	—
1100	C₂×Q₁₆	—	5	1	no	—
1101	C₂×Q₁₆	—	5	1	no	—
1102	C₂×Q₁₆	—	20	2	no	—
1103	C₂×Q₁₆	—	20	2	no	—
1104	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1105	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1106	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1107	C₂×SD₁₆	—	5	1	no	—
1108	C₂×SD₁₆	—	5	1	no	—
1109	C₂×SD₁₆	—	5	1	no	—
1110	C₂×SD₁₆	—	5	1	no	—
1111	C₂×SD₁₆	—	5	1	no	—
1112	C₂×SD₁₆	—	5	1	no	—
1113	C₂×SD₁₆	—	5	1	no	—
1114	C₂×SD₁₆	—	5	1	no	—
1115	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1116	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1117	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1118	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1119	C₂×D₈	—	5	1	no	—
1120	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1121	C₂×M₁₆	—	5	1	no	—
1122	C₂×M₁₆	—	5	1	no	—
1123	C₂²×C₈	—	5	1	no	—
1124	C₂²×C₈	—	5	1	no	—
1125	C₄⋊Q₈	—	5	1	no	—
1126	C₄⋊Q₈	—	5	1	no	—
1127	C₄⋊Q₈	—	5	1	no	—
1128	C₄⋊Q₈	—	5	1	no	—
1129	C₄⋊Q₈	—	5	1	no	—
1130	C₄⋊Q₈	—	5	1	no	—
1131	C₄⋊Q₈	—	5	1	no	—
1132	C₄⋊Q₈	—	5	1	no	—
1133	C₄⋊Q₈	—	5	1	no	—
1134	C₄⋊Q₈	—	10	1	no	—
1135	C₄⋊Q₈	—	10	1	no	—
1136	C₄⋊Q₈	—	10	1	no	—
1137	C₄⋊Q₈	—	10	1	no	—
1138	C₄⋊Q₈	—	10	1	no	—
1139	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1140	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1141	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1142	#126	—	2	1	no	—
1143	#126	—	10	1	no	—
1144	#126	—	10	1	no	—
1145	#126	—	10	1	no	—
1146	#126	—	10	1	no	—
1147	#126	—	10	1	no	—
1148	#126	—	10	1	no	—
1149	#126	—	10	1	no	—
1150	#125	—	5	1	no	—
1151	#125	—	5	1	no	—
1152	#125	—	10	1	no	—
1153	#125	—	10	1	no	—
1154	#125	—	10	1	no	—
1155	#125	—	10	1	no	—
1156	#125	—	10	1	no	—
1157	#125	—	10	1	no	—
1158	#125	—	10	1	no	—
1159	#124	—	2	1	no	—
1160	#124	—	5	1	no	—
1161	#124	—	5	1	no	—
1162	#124	—	5	1	no	—
1163	#124	—	5	1	no	—
1164	#124	—	5	1	no	—
1165	#124	—	5	1	no	—
1166	#124	—	5	1	no	—
1167	#124	—	10	1	no	—
1168	#124	—	10	1	no	—
1169	#124	—	10	1	no	—
1170	#124	—	10	1	no	—
1171	#124	—	10	1	no	—
1172	#124	C₂²×D₅	1	1	yes	characteristic
1173	#124	C₂²×D₅	1	1	yes	characteristic
1174	#124	C₂²×D₅	1	1	yes	characteristic
1175	#123	—	2	1	no	—
1176	#123	—	2	1	no	—
1177	#123	—	2	1	no	—
1178	#123	—	10	1	no	—
1179	#123	—	10	1	no	—
1180	#123	—	10	1	no	—
1181	#123	—	10	1	no	—
1182	#123	—	10	1	no	—
1183	#123	—	10	1	no	—
1184	#123	—	10	1	no	—
1185	#123	—	10	1	no	—
1186	#123	—	10	1	no	—
1187	#123	—	10	1	no	—
1188	#123	—	10	1	no	—
1189	#123	—	10	1	no	—
1190	#123	—	10	1	no	—
1191	#123	—	10	1	no	—
1192	#123	—	10	1	no	—
1193	#123	—	10	1	no	—
1194	#123	—	10	1	no	—
1195	#123	—	10	1	no	—
1196	#123	—	10	1	no	—
1197	#123	—	10	1	no	—
1198	C₂²⋊Q₈	—	2	1	no	—
1199	C₂²⋊Q₈	—	2	1	no	—
1200	C₂²⋊Q₈	—	2	1	no	—
1201	C₂²⋊Q₈	—	5	1	no	—
1202	C₂²⋊Q₈	—	5	1	no	—
1203	C₂²⋊Q₈	—	5	1	no	—
1204	C₂²⋊Q₈	—	5	1	no	—
1205	C₂²⋊Q₈	—	5	1	no	—
1206	C₂²⋊Q₈	—	10	1	no	—
1207	C₂²⋊Q₈	—	10	1	no	—
1208	C₂²⋊Q₈	—	10	1	no	—
1209	C₂²⋊Q₈	—	10	1	no	—
1210	C₂²⋊Q₈	—	10	1	no	—
1211	C₂²⋊Q₈	—	10	1	no	—
1212	C₂²⋊Q₈	—	10	1	no	—
1213	C₂²⋊Q₈	—	10	1	no	—
1214	C₂²⋊Q₈	—	10	1	no	—
1215	C₂²⋊Q₈	—	10	1	no	—
1216	C₂²⋊Q₈	—	10	1	no	—
1217	C₂²⋊Q₈	—	10	1	no	—
1218	C₂²⋊Q₈	—	10	1	no	—
1219	C₂²⋊Q₈	—	10	1	no	—
1220	C₂²⋊Q₈	—	10	1	no	—
1221	C₂²⋊Q₈	—	10	1	no	—
1222	C₂²⋊Q₈	—	10	1	no	—
1223	C₂²⋊Q₈	—	10	1	no	—
1224	C₂²⋊Q₈	—	10	1	no	—
1225	C₂²⋊Q₈	—	10	1	no	—
1226	C₂²⋊Q₈	—	10	1	no	—
1227	C₂²⋊Q₈	—	10	1	no	—
1228	C₂²⋊Q₈	—	10	1	no	—
1229	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1230	#121	—	5	1	no	—
1231	#121	C₂²×D₅	1	1	yes	characteristic
1232	#120	—	10	1	no	—
1233	C₄×Q₈	—	5	1	no	—
1234	C₄×Q₈	—	5	1	no	—
1235	C₄×Q₈	—	5	1	no	—
1236	C₄×Q₈	—	5	1	no	—
1237	C₄×Q₈	—	5	1	no	—
1238	C₄×Q₈	—	10	1	no	—
1239	C₄×Q₈	—	10	1	no	—
1240	C₄×Q₈	—	10	1	no	—
1241	C₄×Q₈	—	10	1	no	—
1242	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1243	C₄×D₄	—	5	1	no	—
1244	C₄×D₄	—	10	1	no	—
1245	C₄×D₄	—	10	1	no	—
1246	C₄×D₄	—	10	1	no	—
1247	C₄×D₄	—	10	1	no	—
1248	C₄×D₄	—	10	1	no	—
1249	C₄×D₄	—	10	1	no	—
1250	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1251	#117	—	5	1	no	—
1252	#117	—	5	1	no	—
1253	#117	—	5	1	no	—
1254	#117	—	5	1	no	—
1255	#117	—	5	1	no	—
1256	#117	—	5	1	no	—
1257	#117	—	5	1	no	—
1258	#117	—	5	1	no	—
1259	#117	—	10	1	no	—
1260	#117	—	10	1	no	—
1261	#117	—	10	1	no	—
1262	#117	—	10	1	no	—
1263	#117	—	10	1	no	—
1264	#117	—	10	1	no	—
1265	#117	—	10	1	no	—
1266	#117	C₂²×D₅	1	1	yes	characteristic
1267	C₂×C₄⋊C₄	—	5	1	no	—
1268	C₂×C₄⋊C₄	—	5	1	no	—
1269	C₂×C₄⋊C₄	—	5	1	no	—
1270	C₂×C₄⋊C₄	—	10	1	no	—
1271	C₂×C₄⋊C₄	—	10	1	no	—
1272	C₂×C₄⋊C₄	—	10	1	no	—
1273	C₂×C₄⋊C₄	—	10	1	no	—
1274	C₂×C₄⋊C₄	—	10	1	no	—
1275	C₂×C₄⋊C₄	—	10	1	no	—
1276	C₂×C₂²⋊C₄	—	5	1	no	—
1277	C₂×C₂²⋊C₄	—	5	1	no	—
1278	C₂×C₂²⋊C₄	—	10	1	no	—
1279	C₂×C₂²⋊C₄	—	10	1	no	—
1280	C₂×C₂²⋊C₄	—	10	1	no	—
1281	C₂×C₂²⋊C₄	—	10	1	no	—
1282	C₂×C₂²⋊C₄	—	10	1	no	—
1283	C₂×C₄²	—	5	1	no	—
1284	C₂×C₄²	—	5	1	no	—
1285	C₄⋊C₈	—	5	1	no	—
1286	C₄⋊C₈	—	5	1	no	—
1287	C₄⋊C₈	—	5	1	no	—
1288	C₄⋊C₈	—	5	1	no	—
1289	C₄⋊C₈	—	5	1	no	—
1290	C₄⋊C₈	—	5	1	no	—
1291	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1292	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1293	#103	—	5	1	no	—
1294	#103	—	5	1	no	—
1295	#103	—	5	1	no	—
1296	#103	—	5	1	no	—
1297	#103	—	5	1	no	—
1298	#103	—	5	1	no	—
1299	#103	—	5	1	no	—
1300	#103	—	5	1	no	—
1301	#103	—	5	1	no	—
1302	#103	—	5	1	no	—
1303	#103	—	5	1	no	—
1304	#103	—	5	1	no	—
1305	#103	—	5	1	no	—
1306	#103	—	5	1	no	—
1307	#103	—	5	1	no	—
1308	#103	—	5	1	no	—
1309	#103	—	5	1	no	—
1310	#103	—	5	1	no	—
1311	#103	C₂²×D₅	1	1	yes	characteristic
1312	#103	C₂²×D₅	1	1	yes	characteristic
1313	#103	C₂²×D₅	1	1	yes	characteristic
1314	#103	C₂²×D₅	1	1	yes	characteristic
1315	#103	C₂²×D₅	1	1	yes	characteristic
1316	#103	C₂²×D₅	1	1	yes	characteristic
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	C₂²×D₅	1	1	yes	characteristic
1324	#102	C₂²×D₅	1	1	yes	characteristic
1325	C₂²⋊C₈	—	5	1	no	—
1326	C₂²⋊C₈	—	5	1	no	—
1327	C₂²⋊C₈	—	5	1	no	—
1328	C₂²⋊C₈	—	5	1	no	—
1329	C₂²⋊C₈	—	5	1	no	—
1330	C₂²⋊C₈	—	5	1	no	—
1331	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1332	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1333	#97	—	5	1	no	—
1334	#97	—	5	1	no	—
1335	#97	—	5	1	no	—
1336	#97	C₂²×D₅	1	1	yes	characteristic
1337	C₄×C₈	—	5	1	no	—
1338	C₄×C₈	—	5	1	no	—
1339	C₄×C₈	—	5	1	no	—
1340	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1341	C₂²×C₅	—	2	1	no	—
1342	C₂²×C₅	—	2	1	no	—
1343	C₂²×C₅	—	2	1	no	—
1344	C₂²×C₅	—	4	1	no	—
1345	C₂²×C₅	—	4	1	no	—
1346	C₂²×C₅	—	4	1	no	—
1347	C₂²×C₅	—	4	1	no	—
1348	C₂²×C₅	—	4	1	no	—
1349	C₂²×C₅	—	4	1	no	—
1350	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1351	C₂×D₅	—	2	1	no	—
1352	C₂×D₅	—	2	1	no	—
1353	C₂×D₅	—	2	1	no	—
1354	C₂×D₅	—	2	1	no	—
1355	C₂×D₅	—	4	4	no	—
1356	C₂×D₅	—	4	1	no	—
1357	C₂×D₅	—	4	1	no	—
1358	C₂×D₅	—	4	1	no	—
1359	C₂×D₅	—	8	4	no	—
1360	C₂×D₅	#535	1	2	yes	—
1361	C₂×D₅	#578	1	2	yes	—
1362	C₄×C₅	—	2	1	no	—
1363	C₄×C₅	—	2	1	no	—
1364	C₄×C₅	—	2	1	no	—
1365	C₄×C₅	—	2	1	no	—
1366	C₄×C₅	—	2	1	no	—
1367	C₄×C₅	—	4	1	no	—
1368	C₄×C₅	—	4	1	no	—
1369	C₄×C₅	—	4	1	no	—
1370	C₄×C₅	—	4	1	no	—
1371	C₄×C₅	—	4	1	no	—
1372	C₄×C₅	—	4	1	no	—
1373	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1374	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1375	Dic₅	—	2	1	no	—
1376	Dic₅	—	2	1	no	—
1377	Dic₅	—	2	1	no	—
1378	Dic₅	—	2	1	no	—
1379	Dic₅	—	2	1	no	—
1380	Dic₅	—	4	1	no	—
1381	Dic₅	—	4	1	no	—
1382	Dic₅	—	4	1	no	—
1383	Dic₅	—	4	1	no	—
1384	Dic₅	—	4	1	no	—
1385	Dic₅	—	4	1	no	—
1386	Dic₅	—	4	1	no	—
1387	Dic₅	#535	1	2	yes	—
1388	C₂⁴	—	5	1	no	—
1389	C₂⁴	—	10	1	no	—
1390	#41	—	4	1	no	—
1391	#41	—	4	1	no	—
1392	#41	—	10	2	no	—
1393	#41	—	10	2	no	—
1394	#41	—	10	2	no	—
1395	#41	—	10	2	no	—
1396	#41	—	10	2	no	—
1397	#41	—	10	2	no	—
1398	#41	—	20	1	no	—
1399	#41	—	20	1	no	—
1400	#41	—	20	4	no	—
1401	#41	—	20	4	no	—
1402	C₂×Q₈	—	2	1	no	—
1403	C₂×Q₈	—	2	1	no	—
1404	C₂×Q₈	—	4	1	no	—
1405	C₂×Q₈	—	4	1	no	—
1406	C₂×Q₈	—	5	1	no	—
1407	C₂×Q₈	—	5	1	no	—
1408	C₂×Q₈	—	5	1	no	—
1409	C₂×Q₈	—	5	1	no	—
1410	C₂×Q₈	—	5	1	no	—
1411	C₂×Q₈	—	10	1	no	—
1412	C₂×Q₈	—	10	1	no	—
1413	C₂×Q₈	—	10	1	no	—
1414	C₂×Q₈	—	10	1	no	—
1415	C₂×Q₈	—	10	1	no	—
1416	C₂×Q₈	—	10	1	no	—
1417	C₂×Q₈	—	10	1	no	—
1418	C₂×Q₈	—	10	2	no	—
1419	C₂×Q₈	—	10	2	no	—
1420	C₂×Q₈	—	10	2	no	—
1421	C₂×Q₈	—	10	2	no	—
1422	C₂×Q₈	—	10	2	no	—
1423	C₂×Q₈	—	10	2	no	—
1424	C₂×Q₈	—	10	1	no	—
1425	C₂×Q₈	—	20	1	no	—
1426	C₂×Q₈	—	20	1	no	—
1427	C₂×Q₈	—	20	4	no	—
1428	C₂×Q₈	—	20	1	no	—
1429	C₂×Q₈	—	20	1	no	—
1430	C₂×Q₈	—	20	1	no	—
1431	C₂×Q₈	—	20	1	no	—
1432	C₂×Q₈	—	20	1	no	—
1433	C₂×Q₈	—	20	1	no	—
1434	C₂×Q₈	—	20	4	no	—
1435	C₂×Q₈	—	20	4	no	—
1436	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1437	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1438	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1439	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	2	1	no	—
1442	C₂×D₄	—	5	1	no	—
1443	C₂×D₄	—	10	1	no	—
1444	C₂×D₄	—	10	1	no	—
1445	C₂×D₄	—	10	1	no	—
1446	C₂×D₄	—	10	1	no	—
1447	C₂×D₄	—	10	1	no	—
1448	C₂×D₄	—	10	1	no	—
1449	C₂×D₄	—	20	1	no	—
1450	C₂×D₄	—	20	1	no	—
1451	C₂×D₄	—	20	4	no	—
1452	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1453	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1454	C₂²×C₄	—	2	1	no	—
1455	C₂²×C₄	—	2	1	no	—
1456	C₂²×C₄	—	2	1	no	—
1457	C₂²×C₄	—	5	1	no	—
1458	C₂²×C₄	—	5	1	no	—
1459	C₂²×C₄	—	5	1	no	—
1460	C₂²×C₄	—	5	1	no	—
1461	C₂²×C₄	—	5	1	no	—
1462	C₂²×C₄	—	5	1	no	—
1463	C₂²×C₄	—	5	1	no	—
1464	C₂²×C₄	—	5	1	no	—
1465	C₂²×C₄	—	5	1	no	—
1466	C₂²×C₄	—	10	2	no	—
1467	C₂²×C₄	—	10	2	no	—
1468	C₂²×C₄	—	10	1	no	—
1469	C₂²×C₄	—	10	1	no	—
1470	C₂²×C₄	—	10	1	no	—
1471	C₂²×C₄	—	10	1	no	—
1472	C₂²×C₄	—	10	1	no	—
1473	C₂²×C₄	—	10	1	no	—
1474	C₂²×C₄	—	10	1	no	—
1475	C₂²×C₄	—	10	1	no	—
1476	C₂²×C₄	—	10	1	no	—
1477	C₂²×C₄	—	10	1	no	—
1478	C₂²×C₄	—	10	1	no	—
1479	C₂²×C₄	—	10	1	no	—
1480	C₂²×C₄	—	10	1	no	—
1481	C₂²×C₄	—	20	4	no	—
1482	C₂²×C₄	—	20	4	no	—
1483	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1484	Q₁₆	—	4	1	no	—
1485	Q₁₆	—	4	1	no	—
1486	Q₁₆	—	4	1	no	—
1487	Q₁₆	—	20	1	no	—
1488	Q₁₆	—	20	1	no	—
1489	Q₁₆	—	20	1	no	—
1490	Q₁₆	—	20	1	no	—
1491	Q₁₆	—	20	1	no	—
1492	Q₁₆	—	20	1	no	—
1493	Q₁₆	—	20	1	no	—
1494	Q₁₆	—	20	1	no	—
1495	Q₁₆	—	20	1	no	—
1496	Q₁₆	—	20	1	no	—
1497	Q₁₆	—	20	1	no	—
1498	Q₁₆	—	20	1	no	—
1499	Q₁₆	—	20	1	no	—
1500	Q₁₆	—	20	1	no	—
1501	Q₁₆	—	20	1	no	—
1502	SD₁₆	—	4	1	no	—
1503	SD₁₆	—	4	1	no	—
1504	SD₁₆	—	4	1	no	—
1505	SD₁₆	—	4	1	no	—
1506	SD₁₆	—	20	1	no	—
1507	SD₁₆	—	20	1	no	—
1508	SD₁₆	—	20	1	no	—
1509	SD₁₆	—	20	1	no	—
1510	SD₁₆	—	20	1	no	—
1511	SD₁₆	—	20	1	no	—
1512	SD₁₆	—	20	1	no	—
1513	SD₁₆	—	20	1	no	—
1514	D₈	—	4	1	no	—
1515	D₈	—	20	1	no	—
1516	M₁₆	—	10	2	no	—
1517	M₁₆	—	10	2	no	—
1518	C₂×C₈	—	5	1	no	—
1519	C₂×C₈	—	5	1	no	—
1520	C₂×C₈	—	5	1	no	—
1521	C₂×C₈	—	5	1	no	—
1522	C₂×C₈	—	10	2	no	—
1523	C₂×C₈	—	10	2	no	—
1524	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1525	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1526	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1527	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	—	2	1	no	—
1530	C₄⋊C₄	—	2	1	no	—
1531	C₄⋊C₄	—	2	1	no	—
1532	C₄⋊C₄	—	2	1	no	—
1533	C₄⋊C₄	—	2	1	no	—
1534	C₄⋊C₄	—	2	1	no	—
1535	C₄⋊C₄	—	5	1	no	—
1536	C₄⋊C₄	—	5	1	no	—
1537	C₄⋊C₄	—	5	1	no	—
1538	C₄⋊C₄	—	5	1	no	—
1539	C₄⋊C₄	—	5	1	no	—
1540	C₄⋊C₄	—	5	1	no	—
1541	C₄⋊C₄	—	5	1	no	—
1542	C₄⋊C₄	—	5	1	no	—
1543	C₄⋊C₄	—	10	1	no	—
1544	C₄⋊C₄	—	10	1	no	—
1545	C₄⋊C₄	—	10	1	no	—
1546	C₄⋊C₄	—	10	1	no	—
1547	C₄⋊C₄	—	10	1	no	—
1548	C₄⋊C₄	—	10	1	no	—
1549	C₄⋊C₄	—	10	1	no	—
1550	C₄⋊C₄	—	10	1	no	—
1551	C₄⋊C₄	—	10	1	no	—
1552	C₄⋊C₄	—	10	1	no	—
1553	C₄⋊C₄	—	10	1	no	—
1554	C₄⋊C₄	—	10	1	no	—
1555	C₄⋊C₄	—	10	1	no	—
1556	C₄⋊C₄	—	10	1	no	—
1557	C₄⋊C₄	—	10	1	no	—
1558	C₄⋊C₄	—	10	1	no	—
1559	C₄⋊C₄	—	10	1	no	—
1560	C₄⋊C₄	—	10	1	no	—
1561	C₄⋊C₄	—	10	1	no	—
1562	C₄⋊C₄	—	10	1	no	—
1563	C₄⋊C₄	—	10	1	no	—
1564	C₄⋊C₄	—	10	1	no	—
1565	C₄⋊C₄	—	10	1	no	—
1566	C₄⋊C₄	—	10	1	no	—
1567	C₄⋊C₄	—	10	1	no	—
1568	C₄⋊C₄	—	10	1	no	—
1569	C₄⋊C₄	—	10	1	no	—
1570	C₄⋊C₄	—	10	1	no	—
1571	C₄⋊C₄	—	10	1	no	—
1572	C₄⋊C₄	—	10	1	no	—
1573	C₄⋊C₄	—	10	1	no	—
1574	C₄⋊C₄	—	10	1	no	—
1575	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1576	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1577	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1578	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	2	1	no	—
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	5	1	no	—
1589	C₂²⋊C₄	—	5	1	no	—
1590	C₂²⋊C₄	—	5	1	no	—
1591	C₂²⋊C₄	—	5	1	no	—
1592	C₂²⋊C₄	—	5	1	no	—
1593	C₂²⋊C₄	—	5	1	no	—
1594	C₂²⋊C₄	—	10	1	no	—
1595	C₂²⋊C₄	—	10	1	no	—
1596	C₂²⋊C₄	—	10	1	no	—
1597	C₂²⋊C₄	—	10	1	no	—
1598	C₂²⋊C₄	—	10	1	no	—
1599	C₂²⋊C₄	—	10	1	no	—
1600	C₂²⋊C₄	—	10	1	no	—
1601	C₂²⋊C₄	—	10	1	no	—
1602	C₂²⋊C₄	—	10	1	no	—
1603	C₂²⋊C₄	—	10	1	no	—
1604	C₂²⋊C₄	—	10	1	no	—
1605	C₂²⋊C₄	—	10	1	no	—
1606	C₂²⋊C₄	—	10	1	no	—
1607	C₂²⋊C₄	—	10	1	no	—
1608	C₂²⋊C₄	—	10	1	no	—
1609	C₂²⋊C₄	—	10	1	no	—
1610	C₂²⋊C₄	—	10	1	no	—
1611	C₂²⋊C₄	—	10	1	no	—
1612	C₂²⋊C₄	—	10	1	no	—
1613	C₂²⋊C₄	—	10	1	no	—
1614	C₂²⋊C₄	—	10	1	no	—
1615	C₂²⋊C₄	—	10	1	no	—
1616	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1617	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1618	C₄²	—	2	1	no	—
1619	C₄²	—	5	1	no	—
1620	C₄²	—	5	1	no	—
1621	C₄²	—	5	1	no	—
1622	C₄²	—	5	1	no	—
1623	C₄²	—	5	1	no	—
1624	C₄²	—	5	1	no	—
1625	C₄²	—	10	1	no	—
1626	C₄²	—	10	1	no	—
1627	C₄²	—	10	1	no	—
1628	C₄²	—	10	1	no	—
1629	C₄²	—	10	1	no	—
1630	C₄²	—	10	1	no	—
1631	C₄²	C₂³×D₅	1	1	yes	characteristic
1632	C₄²	C₂³×D₅	1	1	yes	characteristic
1633	C₂×C₅	—	4	1	no	—
1634	C₂×C₅	—	8	1	no	—
1635	C₂×C₅	—	8	1	no	—
1636	C₂×C₅	C₂×#535	1	1	yes	characteristic
1637	C₂×C₅	C₂×#578	1	1	yes	characteristic
1638	C₂×C₅	#3586	1	1	yes	characteristic
1639	D₅	—	2	2	no	—
1640	D₅	—	2	2	no	—
1641	D₅	—	8	1	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	2	1	no	—
1644	C₂³	—	5	1	no	—
1645	C₂³	—	5	1	no	—
1646	C₂³	—	10	2	no	—
1647	C₂³	—	10	2	no	—
1648	C₂³	—	10	1	no	—
1649	C₂³	—	20	1	no	—
1650	C₂³	—	20	2	no	—
1651	C₂³	—	20	2	no	—
1652	C₂³	—	20	2	no	—
1653	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1654	Q₈	—	2	1	no	—
1655	Q₈	—	2	1	no	—
1656	Q₈	—	2	1	no	—
1657	Q₈	—	2	1	no	—
1658	Q₈	—	2	1	no	—
1659	Q₈	—	2	1	no	—
1660	Q₈	—	2	1	no	—
1661	Q₈	—	2	1	no	—
1662	Q₈	—	4	2	no	—
1663	Q₈	—	8	1	no	—
1664	Q₈	—	10	1	no	—
1665	Q₈	—	10	1	no	—
1666	Q₈	—	10	1	no	—
1667	Q₈	—	10	1	no	—
1668	Q₈	—	10	1	no	—
1669	Q₈	—	10	1	no	—
1670	Q₈	—	10	1	no	—
1671	Q₈	—	10	1	no	—
1672	Q₈	—	10	1	no	—
1673	Q₈	—	10	1	no	—
1674	Q₈	—	20	2	no	—
1675	Q₈	—	20	2	no	—
1676	Q₈	—	20	2	no	—
1677	Q₈	—	20	2	no	—
1678	Q₈	—	20	2	no	—
1679	Q₈	—	20	2	no	—
1680	Q₈	—	20	2	no	—
1681	Q₈	—	40	1	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	2	1	no	—
1684	D₄	—	2	1	no	—
1685	D₄	—	2	1	no	—
1686	D₄	—	4	2	no	—
1687	D₄	—	8	1	no	—
1688	D₄	—	10	1	no	—
1689	D₄	—	10	1	no	—
1690	D₄	—	20	2	no	—
1691	D₄	—	20	2	no	—
1692	D₄	—	20	2	no	—
1693	D₄	—	20	2	no	—
1694	D₄	—	20	2	no	—
1695	D₄	—	20	2	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	2	1	no	—
1704	C₂×C₄	—	4	2	no	—
1705	C₂×C₄	—	4	2	no	—
1706	C₂×C₄	—	5	1	no	—
1707	C₂×C₄	—	5	2	no	—
1708	C₂×C₄	—	5	2	no	—
1709	C₂×C₄	—	5	1	no	—
1710	C₂×C₄	—	5	1	no	—
1711	C₂×C₄	—	5	1	no	—
1712	C₂×C₄	—	5	1	no	—
1713	C₂×C₄	—	5	1	no	—
1714	C₂×C₄	—	8	1	no	—
1715	C₂×C₄	—	10	2	no	—
1716	C₂×C₄	—	10	2	no	—
1717	C₂×C₄	—	10	2	no	—
1718	C₂×C₄	—	10	2	no	—
1719	C₂×C₄	—	10	2	no	—
1720	C₂×C₄	—	10	1	no	—
1721	C₂×C₄	—	10	1	no	—
1722	C₂×C₄	—	10	1	no	—
1723	C₂×C₄	—	10	1	no	—
1724	C₂×C₄	—	10	1	no	—
1725	C₂×C₄	—	10	1	no	—
1726	C₂×C₄	—	10	1	no	—
1727	C₂×C₄	—	10	1	no	—
1728	C₂×C₄	—	10	1	no	—
1729	C₂×C₄	—	20	1	no	—
1730	C₂×C₄	—	20	1	no	—
1731	C₂×C₄	—	20	2	no	—
1732	C₂×C₄	—	20	2	no	—
1733	C₂×C₄	—	20	2	no	—
1734	C₂×C₄	—	20	2	no	—
1735	C₂×C₄	—	20	2	no	—
1736	C₂×C₄	—	20	2	no	—
1737	C₂×C₄	—	20	2	no	—
1738	C₂×C₄	—	20	2	no	—
1739	C₂×C₄	—	20	2	no	—
1740	C₂×C₄	—	20	2	no	—
1741	C₂×C₄	—	20	2	no	—
1742	C₂×C₄	—	40	1	no	—
1743	C₂×C₄	—	40	1	no	—
1744	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1745	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1746	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1747	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1748	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1749	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1750	C₈	—	2	1	no	—
1751	C₈	—	2	1	no	—
1752	C₈	—	2	1	no	—
1753	C₈	—	2	1	no	—
1754	C₈	—	10	1	no	—
1755	C₈	—	10	1	no	—
1756	C₈	—	10	1	no	—
1757	C₈	—	10	1	no	—
1758	C₅	#60814	1	1	yes	characteristic, complemented, Sylow
1759	C₂²	—	2	1	no	—
1760	C₂²	—	2	1	no	—
1761	C₂²	—	2	1	no	—
1762	C₂²	—	4	1	no	—
1763	C₂²	—	4	1	no	—
1764	C₂²	—	4	1	no	—
1765	C₂²	—	4	1	no	—
1766	C₂²	—	4	1	no	—
1767	C₂²	—	4	1	no	—
1768	C₂²	—	5	2	no	—
1769	C₂²	—	5	2	no	—
1770	C₂²	—	10	1	no	—
1771	C₂²	—	10	1	no	—
1772	C₂²	—	10	1	no	—
1773	C₂²	—	10	1	no	—
1774	C₂²	—	20	4	no	—
1775	C₂²	—	20	1	no	—
1776	C₂²	—	20	1	no	—
1777	C₂²	—	20	1	no	—
1778	C₂²	—	40	4	no	—
1779	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1780	C₄	—	2	1	no	—
1781	C₄	—	2	1	no	—
1782	C₄	—	2	1	no	—
1783	C₄	—	2	1	no	—
1784	C₄	—	2	1	no	—
1785	C₄	—	4	1	no	—
1786	C₄	—	4	1	no	—
1787	C₄	—	4	1	no	—
1788	C₄	—	4	1	no	—
1789	C₄	—	4	1	no	—
1790	C₄	—	4	1	no	—
1791	C₄	—	5	2	no	—
1792	C₄	—	10	1	no	—
1793	C₄	—	10	1	no	—
1794	C₄	—	10	1	no	—
1795	C₄	—	10	1	no	—
1796	C₄	—	10	1	no	—
1797	C₄	—	20	1	no	—
1798	C₄	—	20	1	no	—
1799	C₄	—	20	1	no	—
1800	C₄	—	20	1	no	—
1801	C₄	—	20	1	no	—
1802	C₄	—	20	1	no	—
1803	C₄	—	20	1	no	—
1804	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1805	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1806	C₂	—	4	1	no	—
1807	C₂	—	8	1	no	—
1808	C₂	—	8	1	no	—
1809	C₂	—	10	2	no	—
1810	C₂	—	10	2	no	—
1811	C₂	—	40	1	no	—
1812	C₂	D₅×#535	1	1	yes	characteristic
1813	C₂	#10619109	1	1	yes	characteristic
1814	C₂	D₅×#578	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×#3225	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10611813	C₂
hypercenter	#3225	D₅
hypocenter	C₅	#60814
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3225

Complements

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

N	H ≅ G/N	type
1. #10618452	C₂	semidirect
2. D₅×#536	C₂	semidirect
3. C₅×#3225	C₂	semidirect
4. #10615195	C₂	semidirect
5. #10615145	C₂	semidirect
6. #10613607	C₂	semidirect
7. #10613604	C₂	semidirect
8. #10613556	C₂	semidirect
9. #10613555	C₂	semidirect
10. #10613417	C₂	semidirect
11. #10613412	C₂	semidirect
12. #10613335	C₂	semidirect
13. #10613330	C₂	semidirect
14. #10612337	C₂	semidirect
15. #10612332	C₂	semidirect
16. #10612272	C₂	semidirect
17. #10612270	C₂	semidirect
18. #10612211	C₂	semidirect
19. #10612209	C₂	semidirect
20. #10612166	C₂	semidirect
21. #10612162	C₂	semidirect
22. #10612002	C₂	semidirect
23. #10611959	C₂	semidirect
24. D₅×#451	C₂	semidirect
25. #10611911	C₂	semidirect
27. #10611811	C₂	semidirect
28. #10611790	C₂	semidirect
29. #10611770	C₂	semidirect
30. #10611129	C₂	semidirect
31. #10611105	C₂	semidirect
34. C₅×#542	C₂²	semidirect
39. C₂×D₅×Q₁₆	C₂²	semidirect
40. C₂×D₅×Q₁₆	C₂²	semidirect
43. C₂×#4061	C₂²	semidirect
44. C₂×#4061	C₂²	semidirect
46. #66063	C₂²	semidirect
58. #66009	C₂²	semidirect
75. #65959	C₂²	semidirect
77. #65937	C₂²	semidirect
79. #65906	C₂²	semidirect
81. #65880	C₂²	semidirect
84. #65852	C₂²	semidirect
85. C₅×#497	C₂²	semidirect
86. C₅×#495	C₂²	semidirect
87. C₅×#489	C₂²	semidirect
88. C₅×#487	C₂²	semidirect
89. C₅×#464	C₂²	semidirect
90. C₅×#463	C₂²	semidirect
91. C₅×#462	C₂²	semidirect
92. C₅×#461	C₂²	semidirect
94. C₅×#451	C₂²	semidirect
96. C₅×#448	C₂²	semidirect
97. C₅×#433	C₂²	semidirect
100. #65517	C₂²	semidirect
101. #65517	C₂²	semidirect
102. #65479	C₂²	semidirect
106. #65474	C₂²	semidirect
107. #65471	C₂²	semidirect
108. #65471	C₂²	semidirect
109. #65470	C₂²	semidirect
110. #65470	C₂²	semidirect
115. #65457	C₂²	semidirect
116. #65456	C₂²	semidirect
117. #65456	C₂²	semidirect
118. #65456	C₂²	semidirect
119. #65455	C₂²	semidirect
120. #65454	C₂²	semidirect
121. #65451	C₂²	semidirect
122. #65451	C₂²	semidirect
124. #65444	C₂²	semidirect
125. #65442	C₂²	semidirect
126. #65382	C₂²	semidirect
127. #65381	C₂²	semidirect
128. #65379	C₂²	semidirect
129. #65379	C₂²	semidirect
130. #65378	C₂²	semidirect
131. #65371	C₂²	semidirect
132. #65349	C₂²	semidirect
133. #65349	C₂²	semidirect
134. #65348	C₂²	semidirect
135. #65345	C₂²	semidirect
136. #65343	C₂²	semidirect
137. #65343	C₂²	semidirect
138. #65339	C₂²	semidirect
140. #65329	C₂²	semidirect
142. #65320	C₂²	semidirect
143. #65317	C₂²	semidirect
144. #65308	C₂²	semidirect
145. #65305	C₂²	semidirect
146. #65289	C₂²	semidirect
147. #65138	C₂²	semidirect
148. #65138	C₂²	semidirect
149. #65134	C₂²	semidirect
150. #65134	C₂²	semidirect
151. #65128	C₂²	semidirect
152. #65128	C₂²	semidirect
163. #65091	C₂²	semidirect
164. #65091	C₂²	semidirect
165. D₅×#103	C₂²	semidirect
166. D₅×#103	C₂²	semidirect
167. #65089	C₂²	semidirect
168. #65087	C₂²	semidirect
169. #65087	C₂²	semidirect
170. #65086	C₂²	semidirect
171. #65086	C₂²	semidirect
172. #65084	C₂²	semidirect
173. #65082	C₂²	semidirect
174. #65082	C₂²	semidirect
175. #65082	C₂²	semidirect
176. #65082	C₂²	semidirect
177. #65081	C₂²	semidirect
178. #65081	C₂²	semidirect
183. #65057	C₂²	semidirect
184. #65056	C₂²	semidirect
185. #65056	C₂²	semidirect
186. #65054	C₂²	semidirect
187. #65028	C₂²	semidirect
188. #65028	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #65004	C₂²	semidirect
196. #64997	C₂²	semidirect
198. #64992	C₂²	semidirect
199. #64988	C₂²	semidirect
200. #64986	C₂²	semidirect
201. #64978	C₂²	semidirect
496. #3225	D₅	semidirect
787. #542	C₂×D₅	semidirect
827. #497	C₂×D₅	semidirect
831. #495	C₂×D₅	semidirect
843. #489	C₂×D₅	semidirect
851. #487	C₂×D₅	semidirect
863. #464	C₂×D₅	semidirect
867. #463	C₂×D₅	semidirect
879. #462	C₂×D₅	semidirect
883. #461	C₂×D₅	semidirect
904. #451	C₂×D₅	semidirect
914. #448	C₂×D₅	semidirect
919. #433	C₂×D₅	semidirect
1758. C₅	#60814	semidirect

Maximal subgroups

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

subgroup	index
#10618452	2
D₅×#536	2
C₅×#3225	2
#10615195	2
#10615145	2
#10613607	2
#10613604	2
#10613556	2
#10613555	2
#10613417	2
#10613412	2
#10613335	2
#10613330	2
#10612337	2
#10612332	2
#10612272	2
#10612270	2
#10612211	2
#10612209	2
#10612166	2
#10612162	2
#10612002	2
#10611959	2
D₅×#451	2
#10611911	2
#10611813	2
#10611811	2
#10611790	2
#10611770	2
#10611129	2
#10611105	2
#60814	5