Subgroups — #12985188

Order 1280.

2028 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618416	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618257	C₂	1	1	yes	maximal, characteristic
3	C₅×#3223	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615177	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615145	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613615	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613612	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613538	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613536	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613481	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613480	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613390	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613383	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612362	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612358	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612353	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612346	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612232	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612225	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612224	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612221	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611969	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611968	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611959	C₂	1	1	yes	maximal, characteristic, complemented
25	D₅×#452	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611920	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611918	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611916	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611916	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611116	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611107	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂×#4147	C₂²	1	1	yes	characteristic
34	C₅×#541	C₂²	1	1	yes	characteristic, complemented
35	C₅×#536	C₂²	1	1	yes	characteristic
36	#66167	C₂²	1	1	yes	characteristic
37	C₂×#4092	C₂²	1	1	yes	characteristic
38	C₂×#4064	C₂²	1	1	yes	characteristic
39	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
42	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4061	C₂²	1	1	yes	characteristic
45	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
46	#66061	C₂²	1	1	yes	characteristic
47	#66061	C₂²	1	1	yes	characteristic
48	#66061	C₂²	1	1	yes	characteristic
49	#66061	C₂²	1	1	yes	characteristic, complemented
50	#66060	C₂²	1	1	yes	characteristic
51	#66060	C₂²	1	1	yes	characteristic
52	#66046	—	2	1	no	—
53	#66046	—	2	1	no	—
54	#66039	—	2	1	no	—
55	#66039	—	2	1	no	—
56	#66028	C₂²	1	1	yes	characteristic
57	#66028	C₂²	1	1	yes	characteristic, complemented
58	#66026	—	2	1	no	—
59	#66026	—	2	1	no	—
60	#66023	—	2	1	no	—
61	#66023	—	2	1	no	—
62	#66011	C₂²	1	1	yes	characteristic
63	#66011	C₂²	1	1	yes	characteristic
64	#66010	C₂²	1	1	yes	characteristic
65	#66010	C₂²	1	1	yes	characteristic
66	#65989	—	2	1	no	—
67	#65989	—	2	1	no	—
68	#65988	—	2	1	no	—
69	#65988	—	2	1	no	—
70	#65963	—	2	1	no	—
71	#65962	—	2	1	no	—
72	#65962	C₂²	1	1	yes	characteristic, complemented
73	#65962	C₂²	1	1	yes	characteristic, complemented
74	#65961	—	2	1	no	—
75	D₅×C₂²⋊Q₈	—	2	1	no	—
76	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
77	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
78	#65915	C₂²	1	1	yes	characteristic
79	#65915	C₂²	1	1	yes	characteristic, complemented
80	Q₈×D₂₀	C₂²	1	1	yes	characteristic
81	Q₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
82	#65858	C₂²	1	1	yes	characteristic
83	#65857	C₂²	1	1	yes	characteristic
84	#65852	C₂²	1	1	yes	characteristic, complemented
85	C₅×#497	C₂²	1	1	yes	characteristic, complemented
86	C₅×#494	C₂²	1	1	yes	characteristic, complemented
87	C₅×#491	C₂²	1	1	yes	characteristic, complemented
88	C₅×#488	C₂²	1	1	yes	characteristic, complemented
89	C₅×#464	C₂²	1	1	yes	characteristic, complemented
90	C₅×#464	C₂²	1	1	yes	characteristic, complemented
91	C₅×#462	C₂²	1	1	yes	characteristic, complemented
92	C₅×#462	C₂²	1	1	yes	characteristic, complemented
93	C₅×#452	C₂²	1	1	yes	characteristic
94	C₅×#452	C₂²	1	1	yes	characteristic
95	C₅×#451	C₂²	1	1	yes	characteristic, complemented
96	C₅×#451	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	#65478	C₂²	1	1	yes	characteristic, complemented
103	#65478	C₂²	1	1	yes	characteristic, complemented
104	#65478	C₂²	1	1	yes	characteristic, complemented
105	#65477	C₂²	1	1	yes	characteristic
106	#65477	C₂²	1	1	yes	characteristic
107	#65477	C₂²	1	1	yes	characteristic, complemented
108	#65476	C₂²	1	1	yes	characteristic
109	#65476	C₂²	1	1	yes	characteristic, complemented
110	#65476	C₂²	1	1	yes	characteristic, complemented
111	#65475	C₂²	1	1	yes	characteristic
112	#65475	C₂²	1	1	yes	characteristic
113	#65475	C₂²	1	1	yes	characteristic
114	#65475	C₂²	1	1	yes	characteristic, complemented
115	#65475	C₂²	1	1	yes	characteristic, complemented
116	#65475	C₂²	1	1	yes	characteristic, complemented
117	#65475	C₂²	1	1	yes	characteristic, complemented
118	#65475	C₂²	1	1	yes	characteristic, complemented
119	#65475	C₂²	1	1	yes	characteristic, complemented
120	#65463	C₂²	1	1	yes	characteristic, complemented
121	#65462	C₂²	1	1	yes	characteristic
122	#65460	C₂²	1	1	yes	characteristic, complemented
123	#65459	C₂²	1	1	yes	characteristic, complemented
124	#65459	C₂²	1	1	yes	characteristic, complemented
125	#65458	C₂²	1	1	yes	characteristic
126	#65381	C₂²	1	1	yes	characteristic, complemented
127	#65379	C₂²	1	1	yes	characteristic, complemented
128	#65379	C₂²	1	1	yes	characteristic, complemented
129	#65379	C₂²	1	1	yes	characteristic, complemented
130	#65372	C₂²	1	1	yes	characteristic, complemented
131	#65371	C₂²	1	1	yes	characteristic, complemented
132	#65355	C₂²	1	1	yes	characteristic, complemented
133	#65352	C₂²	1	1	yes	characteristic, complemented
134	#65349	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	#65336	C₂²	1	1	yes	characteristic
139	#65336	C₂²	1	1	yes	characteristic
140	#65333	C₂²	1	1	yes	characteristic, complemented
141	#65332	C₂²	1	1	yes	characteristic, complemented
142	#65319	C₂²	1	1	yes	characteristic, complemented
143	C₄×#689	C₂²	1	1	yes	characteristic, complemented
144	#65315	C₂²	1	1	yes	characteristic, complemented
145	C₄×#688	C₂²	1	1	yes	characteristic, complemented
146	#65289	C₂²	1	1	yes	characteristic, complemented
147	#65138	C₂²	1	1	yes	characteristic, complemented
148	#65136	C₂²	1	1	yes	characteristic, complemented
149	#65130	C₂²	1	1	yes	characteristic, complemented
150	#65127	C₂²	1	1	yes	characteristic, complemented
151	#65125	C₂²	1	1	yes	characteristic
152	#65125	C₂²	1	1	yes	characteristic, complemented
153	#65123	C₂²	1	1	yes	characteristic
154	#65118	C₂²	1	1	yes	characteristic, complemented
155	#65105	C₂²	1	1	yes	characteristic, complemented
156	#65105	C₂²	1	1	yes	characteristic, complemented
157	#65105	C₂²	1	1	yes	characteristic, complemented
158	#65104	C₂²	1	1	yes	characteristic, complemented
159	#65103	C₂²	1	1	yes	characteristic, complemented
160	#65102	C₂²	1	1	yes	characteristic
161	#65102	C₂²	1	1	yes	characteristic
162	#65102	C₂²	1	1	yes	characteristic, complemented
163	#65099	C₂²	1	1	yes	characteristic
164	#65099	C₂²	1	1	yes	characteristic, complemented
165	#65099	C₂²	1	1	yes	characteristic, complemented
166	#65098	C₂²	1	1	yes	characteristic, complemented
167	#65098	C₂²	1	1	yes	characteristic, complemented
168	#65097	C₂²	1	1	yes	characteristic
169	#65097	C₂²	1	1	yes	characteristic, complemented
170	#65097	C₂²	1	1	yes	characteristic, complemented
171	#65094	C₂²	1	1	yes	characteristic
172	#65094	C₂²	1	1	yes	characteristic
173	#65093	C₂²	1	1	yes	characteristic, complemented
174	#65093	C₂²	1	1	yes	characteristic, complemented
175	#65092	C₂²	1	1	yes	characteristic
176	#65091	C₂²	1	1	yes	characteristic, complemented
177	#65091	C₂²	1	1	yes	characteristic, complemented
178	D₅×#103	C₂²	1	1	yes	characteristic
179	#65073	C₂²	1	1	yes	characteristic, complemented
180	#65072	C₂²	1	1	yes	characteristic
181	#65069	C₂²	1	1	yes	characteristic, complemented
182	#65068	C₂²	1	1	yes	characteristic, complemented
183	#65067	C₂²	1	1	yes	characteristic, complemented
184	#65065	C₂²	1	1	yes	characteristic
185	#65060	C₂²	1	1	yes	characteristic
186	D₅×#102	C₂²	1	1	yes	characteristic
187	#65022	C₂²	1	1	yes	characteristic
188	#65022	C₂²	1	1	yes	characteristic
189	#65016	C₂²	1	1	yes	characteristic, complemented
190	#65016	C₂²	1	1	yes	characteristic, complemented
191	#65015	C₂²	1	1	yes	characteristic
192	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
193	#65011	C₂²	1	1	yes	characteristic, complemented
194	#65010	C₂²	1	1	yes	characteristic, complemented
195	#65005	C₂²	1	1	yes	characteristic, complemented
196	#64999	C₂²	1	1	yes	characteristic, complemented
197	#64995	C₂²	1	1	yes	characteristic
198	#64995	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64977	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₂₀	C₂²	1	1	yes	characteristic
203	#61622	—	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	#4147	—	4	2	no	—
209	#4147	—	4	2	no	—
210	C₂×#713	—	2	1	no	—
211	C₂×#713	C₂³	1	1	yes	characteristic
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×#713	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₅	—	2	1	no	—
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×Q₈×D₅	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
221	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
222	C₂×#711	—	2	1	no	—
223	C₂×#711	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₅	—	2	1	no	—
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×#709	—	2	1	no	—
227	C₂×#709	—	2	1	no	—
228	C₂×#709	—	2	1	no	—
229	C₂×#709	C₂³	1	1	yes	characteristic
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₅	—	2	1	no	—
232	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
233	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
241	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₅×#126	—	2	1	no	—
245	C₅×#126	—	2	1	no	—
246	C₅×#125	—	2	1	no	—
247	C₅×#125	—	2	1	no	—
248	C₅×#125	C₂³	1	1	yes	characteristic
249	C₅×#124	C₂³	1	1	yes	characteristic
250	C₅×#124	C₂³	1	1	yes	characteristic
251	C₅×#123	—	2	1	no	—
252	C₅×#123	—	2	1	no	—
253	C₅×C₂²⋊Q₈	—	2	1	no	—
254	C₅×C₂²⋊Q₈	—	2	1	no	—
255	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
258	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
259	C₅×#117	C₂³	1	1	yes	characteristic
260	#4092	—	2	1	no	—
261	#4092	—	2	1	no	—
262	#4092	C₂³	1	1	yes	characteristic
263	#4092	C₂³	1	1	yes	characteristic
264	#4092	C₂³	1	1	yes	characteristic
265	#4092	C₂³	1	1	yes	characteristic
266	#4092	C₂³	1	1	yes	characteristic
267	#4092	C₂³	1	1	yes	characteristic
268	#4092	C₂³	1	1	yes	characteristic
269	#4092	C₂³	1	1	yes	characteristic
270	#4092	C₂³	1	1	yes	characteristic
271	#4092	C₂³	1	1	yes	characteristic
272	C₂×#689	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×#688	C₂³	1	1	yes	characteristic
281	C₂×#688	C₂³	1	1	yes	characteristic
282	#4085	—	2	1	no	—
283	#4085	—	2	1	no	—
284	#4084	C₂³	1	1	yes	characteristic
285	#4084	C₂³	1	1	yes	characteristic
286	C₂×#687	C₂³	1	1	yes	characteristic
287	C₂×#687	C₂³	1	1	yes	characteristic
288	#4076	—	2	1	no	—
289	C₂×#685	—	2	1	no	—
290	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
291	#4070	—	2	1	no	—
292	#4070	C₂³	1	1	yes	characteristic
293	#4070	C₂³	1	1	yes	characteristic
294	C₂×#683	—	2	1	no	—
295	#4064	—	4	2	no	—
296	#4064	—	4	2	no	—
297	#4064	—	4	2	no	—
298	D₅×Q₁₆	—	4	2	no	—
299	D₅×Q₁₆	—	4	2	no	—
300	D₅×Q₁₆	—	4	2	no	—
301	#4061	—	4	2	no	—
302	D₅×SD₁₆	—	4	2	no	—
303	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
304	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
305	C₂×#677	C₂³	1	1	yes	characteristic
306	C₂×#677	C₂³	1	1	yes	characteristic
307	C₂×#676	C₂³	1	1	yes	characteristic
308	C₂×#676	C₂³	1	1	yes	characteristic
309	C₂×#676	C₂³	1	1	yes	characteristic
310	C₂×#676	C₂³	1	1	yes	characteristic
311	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
312	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
313	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
315	#4044	—	2	1	no	—
316	#4044	—	2	1	no	—
317	#4043	—	2	1	no	—
318	#4043	—	2	1	no	—
319	#4043	—	2	1	no	—
320	#4043	—	2	1	no	—
321	#4043	D₄	1	1	yes	characteristic
322	#4043	D₄	1	1	yes	characteristic
323	#4043	C₂³	1	1	yes	characteristic
324	#4043	C₂³	1	1	yes	characteristic
325	#4043	C₂³	1	1	yes	characteristic
326	#4043	C₂³	1	1	yes	characteristic
327	#4042	—	2	1	no	—
328	#4042	—	2	1	no	—
329	#4042	—	2	1	no	—
330	#4042	—	2	1	no	—
331	#4042	—	2	1	no	—
332	#4042	—	2	1	no	—
333	#4042	—	2	1	no	—
334	#4042	—	2	1	no	—
335	#4042	—	2	1	no	—
336	#4042	—	2	1	no	—
337	#4041	—	2	1	no	—
338	#4041	—	2	1	no	—
339	#4041	D₄	1	1	yes	characteristic
340	#4041	D₄	1	1	yes	characteristic
341	#4040	—	2	1	no	—
342	#4040	—	2	1	no	—
343	#4040	—	2	1	no	—
344	#4040	—	2	1	no	—
345	#4040	—	2	1	no	—
346	#4040	—	2	1	no	—
347	#4040	—	2	1	no	—
348	#4040	—	2	1	no	—
349	#4040	—	2	1	no	—
350	#4040	—	2	1	no	—
351	#4039	—	2	1	no	—
352	#4039	—	2	1	no	—
353	#4039	—	2	1	no	—
354	#4039	—	2	1	no	—
355	#4038	—	2	1	no	—
356	#4038	—	2	1	no	—
357	#4038	—	2	1	no	—
358	#4038	C₂³	1	1	yes	characteristic
359	#4038	C₂³	1	1	yes	characteristic
360	D₅×C₄⋊C₄	—	2	1	no	—
361	D₅×C₄⋊C₄	—	2	1	no	—
362	D₅×C₄⋊C₄	—	2	1	no	—
363	D₅×C₄⋊C₄	—	2	1	no	—
364	D₅×C₄⋊C₄	—	2	1	no	—
365	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
366	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
367	#4036	—	2	1	no	—
368	#4036	—	2	1	no	—
369	#4035	—	2	1	no	—
370	#4035	—	2	1	no	—
371	#4035	—	2	1	no	—
372	#4035	—	2	1	no	—
373	#4034	—	2	1	no	—
374	#4034	—	2	1	no	—
375	#4034	—	2	1	no	—
376	#4034	—	2	1	no	—
377	#4034	—	2	1	no	—
378	#4034	—	2	1	no	—
379	#4032	D₄	1	1	yes	characteristic
380	#4032	D₄	1	1	yes	characteristic
381	#4031	—	2	1	no	—
382	#4031	—	2	1	no	—
383	#4031	—	2	1	no	—
384	#4031	—	2	1	no	—
385	#4030	—	2	1	no	—
386	#4030	—	2	1	no	—
387	#4030	—	2	1	no	—
388	#4030	—	2	1	no	—
389	#4029	—	2	1	no	—
390	#4029	—	2	1	no	—
391	#4029	—	2	1	no	—
392	#4029	—	2	1	no	—
393	#4028	—	2	1	no	—
394	#4028	—	2	1	no	—
395	#4028	D₄	1	1	yes	characteristic
396	#4028	D₄	1	1	yes	characteristic
397	#4027	—	2	1	no	—
398	#4027	—	2	1	no	—
399	#4027	—	2	1	no	—
400	#4027	—	2	1	no	—
401	D₅×C₂²⋊C₄	—	2	1	no	—
402	D₅×C₂²⋊C₄	—	2	1	no	—
403	D₅×C₂²⋊C₄	—	2	1	no	—
404	D₅×C₂²⋊C₄	—	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	#4022	—	2	1	no	—
412	#4022	—	2	1	no	—
413	C₄×D₂₀	—	2	1	no	—
414	C₄×D₂₀	—	2	1	no	—
415	C₄×D₂₀	C₂³	1	1	yes	characteristic
416	C₄×D₂₀	C₂³	1	1	yes	characteristic
417	C₄×D₂₀	C₂³	1	1	yes	characteristic
418	C₄×D₂₀	C₂³	1	1	yes	characteristic
419	C₄×D₂₀	C₂³	1	1	yes	characteristic
420	C₄×D₂₀	C₂³	1	1	yes	characteristic
421	#4018	—	2	1	no	—
422	#4018	—	2	1	no	—
423	#4016	C₂³	1	1	yes	characteristic
424	#4015	—	2	1	no	—
425	#4015	—	2	1	no	—
426	#4015	C₂³	1	1	yes	characteristic
427	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
428	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
429	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
431	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₅×#103	C₂³	1	1	yes	characteristic
434	C₅×#103	C₂³	1	1	yes	characteristic
435	C₅×#103	C₂³	1	1	yes	characteristic
436	C₅×#103	C₂³	1	1	yes	characteristic
437	C₅×#103	C₂³	1	1	yes	characteristic
438	C₅×#103	C₂³	1	1	yes	characteristic
439	C₅×#102	C₂³	1	1	yes	characteristic
440	C₅×#102	C₂³	1	1	yes	characteristic
441	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₅×#97	C₂³	1	1	yes	characteristic
444	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
445	#3967	C₂³	1	1	yes	characteristic
446	#3967	C₂³	1	1	yes	characteristic
447	#3967	C₂³	1	1	yes	characteristic
448	#3967	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	#3952	C₂³	1	1	yes	characteristic
466	#3952	C₂³	1	1	yes	characteristic
467	#3952	C₂³	1	1	yes	characteristic
468	#3952	C₂³	1	1	yes	characteristic
469	#3950	C₂³	1	1	yes	characteristic
470	#3950	C₂³	1	1	yes	characteristic
471	#3949	C₂³	1	1	yes	characteristic
472	#3949	C₂³	1	1	yes	characteristic
473	#3948	C₂³	1	1	yes	characteristic
474	#3948	C₂³	1	1	yes	characteristic
475	#3948	C₂³	1	1	yes	characteristic
476	#3948	C₂³	1	1	yes	characteristic
477	#3948	C₂³	1	1	yes	characteristic
478	#3948	C₂³	1	1	yes	characteristic
479	#3942	C₂³	1	1	yes	characteristic
480	#3942	C₂³	1	1	yes	characteristic
481	#3941	C₂³	1	1	yes	characteristic
482	#3941	C₂³	1	1	yes	characteristic
483	#3940	C₂³	1	1	yes	characteristic
484	#3940	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	#3939	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	#3538	—	5	1	no	—
492	#3489	—	5	1	no	—
493	#3327	—	5	1	no	—
494	#3327	—	5	1	no	—
495	#3315	—	5	1	no	—
496	#3315	—	5	1	no	—
497	#3312	—	5	1	no	—
498	#3312	—	5	1	no	—
499	#3296	—	5	1	no	—
500	#3296	—	5	1	no	—
501	D₄×Q₁₆	—	5	1	no	—
502	D₄×Q₁₆	—	5	1	no	—
503	#3276	—	5	1	no	—
504	#3276	—	5	1	no	—
505	#3270	—	5	1	no	—
506	#3270	—	5	1	no	—
507	#3266	—	5	1	no	—
508	#3266	—	5	1	no	—
509	#3223	—	5	1	no	—
510	#3223	D₅	1	1	yes	characteristic, complemented
511	#3201	—	5	1	no	—
512	#3201	—	5	1	no	—
513	#3195	—	5	1	no	—
514	#3189	—	5	1	no	—
515	#3120	—	5	1	no	—
516	#3120	—	5	1	no	—
517	#3011	—	5	1	no	—
518	#3011	—	5	1	no	—
519	#3007	—	5	1	no	—
520	C₂×#452	—	5	1	no	—
521	#2976	—	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	—	4	1	no	—
528	C₂×C₅×Q₈	—	4	1	no	—
529	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₅	—	2	1	no	—
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
545	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
546	C₂²×Dic₅	—	2	1	no	—
547	C₂²×Dic₅	—	2	1	no	—
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	—	4	1	no	—
553	#713	—	4	1	no	—
554	#713	—	4	1	no	—
555	#713	—	4	4	no	—
556	Q₈×D₅	—	2	2	no	—
557	Q₈×D₅	—	2	2	no	—
558	Q₈×D₅	—	2	2	no	—
559	Q₈×D₅	—	4	1	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	1	no	—
567	Q₈×D₅	—	4	1	no	—
568	Q₈×D₅	—	4	1	no	—
569	Q₈×D₅	—	4	1	no	—
570	Q₈×D₅	—	4	4	no	—
571	#711	—	2	2	no	—
572	#711	—	4	1	no	—
573	#711	—	4	4	no	—
574	D₄×D₅	—	2	2	no	—
575	D₄×D₅	—	4	1	no	—
576	D₄×D₅	—	4	4	no	—
577	#709	—	2	2	no	—
578	#709	—	2	2	no	—
579	#709	—	4	1	no	—
580	#709	—	4	1	no	—
581	#709	—	4	4	no	—
582	#709	—	4	4	no	—
583	#709	—	4	4	no	—
584	C₂×D₂₀	—	2	1	no	—
585	C₂×D₂₀	—	2	1	no	—
586	C₂×D₂₀	—	2	1	no	—
587	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
588	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
589	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
590	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
591	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
592	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
593	C₂×C₄×D₅	—	2	1	no	—
594	C₂×C₄×D₅	—	2	1	no	—
595	C₂×C₄×D₅	—	2	1	no	—
596	C₂×C₄×D₅	—	2	1	no	—
597	C₂×C₄×D₅	—	2	1	no	—
598	C₂×C₄×D₅	—	2	1	no	—
599	C₂×C₄×D₅	—	2	1	no	—
600	C₂×C₄×D₅	—	2	1	no	—
601	C₂×C₄×D₅	—	2	1	no	—
602	C₂×C₄×D₅	—	2	1	no	—
603	C₂×C₄×D₅	—	2	1	no	—
604	C₂×C₄×D₅	—	2	1	no	—
605	C₂×C₄×D₅	—	2	1	no	—
606	C₂×C₄×D₅	—	2	1	no	—
607	C₂×C₄×D₅	—	2	1	no	—
608	C₂×C₄×D₅	—	4	1	no	—
609	C₂×C₄×D₅	—	4	1	no	—
610	C₂×C₄×D₅	—	4	4	no	—
611	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
612	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
613	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
614	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
615	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
616	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
617	C₂×Dic₁₀	—	2	1	no	—
618	C₂×Dic₁₀	—	2	1	no	—
619	C₂×Dic₁₀	—	2	1	no	—
620	C₂×Dic₁₀	—	2	1	no	—
621	C₂×Dic₁₀	—	2	1	no	—
622	C₂×Dic₁₀	—	2	1	no	—
623	C₂×Dic₁₀	—	2	1	no	—
624	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
625	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
626	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
627	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
628	C₅×Q₁₆	—	4	1	no	—
629	C₅×Q₁₆	—	4	1	no	—
630	C₅×Q₁₆	—	4	1	no	—
631	C₅×Q₁₆	—	4	1	no	—
632	C₅×Q₁₆	—	4	1	no	—
633	C₅×Q₁₆	—	4	1	no	—
634	C₅×SD₁₆	—	4	1	no	—
635	C₅×SD₁₆	—	4	1	no	—
636	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
637	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
638	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
639	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
640	C₅×C₄⋊C₄	—	2	1	no	—
641	C₅×C₄⋊C₄	—	2	1	no	—
642	C₅×C₄⋊C₄	—	2	1	no	—
643	C₅×C₄⋊C₄	—	2	1	no	—
644	C₅×C₄⋊C₄	—	2	1	no	—
645	C₅×C₄⋊C₄	—	2	1	no	—
646	C₅×C₄⋊C₄	—	2	1	no	—
647	C₅×C₄⋊C₄	—	2	1	no	—
648	C₅×C₄⋊C₄	—	2	1	no	—
649	C₅×C₄⋊C₄	—	2	1	no	—
650	C₅×C₄⋊C₄	—	2	1	no	—
651	C₅×C₄⋊C₄	—	2	1	no	—
652	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₅×C₂²⋊C₄	—	2	1	no	—
657	C₅×C₂²⋊C₄	—	2	1	no	—
658	C₅×C₂²⋊C₄	—	2	1	no	—
659	C₅×C₂²⋊C₄	—	2	1	no	—
660	C₅×C₂²⋊C₄	—	2	1	no	—
661	C₅×C₂²⋊C₄	—	2	1	no	—
662	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
663	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₅	—	2	1	no	—
665	C₄²×C₅	—	2	1	no	—
666	C₄²×C₅	C₂⁴	1	1	yes	characteristic
667	C₄²×C₅	C₂⁴	1	1	yes	characteristic
668	C₂²⋊Dic₅	—	2	1	no	—
669	C₂²⋊Dic₅	—	2	1	no	—
670	C₂²⋊Dic₅	—	2	1	no	—
671	C₂²⋊Dic₅	—	2	1	no	—
672	#689	—	2	2	no	—
673	#689	—	2	2	no	—
674	#689	—	4	1	no	—
675	#689	—	4	1	no	—
676	#689	—	4	1	no	—
677	#689	—	4	1	no	—
678	#689	—	4	1	no	—
679	#689	—	4	1	no	—
680	#688	—	2	2	no	—
681	#688	—	2	2	no	—
682	#687	—	4	1	no	—
683	#687	—	4	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	—	2	1	no	—
696	#685	—	2	1	no	—
697	#685	—	2	1	no	—
698	#685	—	2	1	no	—
699	#685	—	2	1	no	—
700	#685	—	2	1	no	—
701	#685	—	2	1	no	—
702	#685	C₂×D₄	1	1	yes	characteristic
703	#685	C₂×D₄	1	1	yes	characteristic
704	#685	C₂×D₄	1	1	yes	characteristic
705	#685	C₂×D₄	1	1	yes	characteristic
706	#685	C₂×D₄	1	1	yes	characteristic
707	#685	C₂×D₄	1	1	yes	characteristic
708	#685	C₂×D₄	1	1	yes	characteristic
709	#685	C₂×D₄	1	1	yes	characteristic
710	C₄⋊Dic₅	—	2	1	no	—
711	C₄⋊Dic₅	—	2	1	no	—
712	C₄⋊Dic₅	—	2	1	no	—
713	C₄⋊Dic₅	—	2	1	no	—
714	C₄⋊Dic₅	—	2	1	no	—
715	C₄⋊Dic₅	—	2	1	no	—
716	C₄⋊Dic₅	—	2	1	no	—
717	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
718	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
719	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
723	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
724	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
736	#683	—	2	1	no	—
737	#683	—	2	1	no	—
738	#683	—	2	1	no	—
739	#683	—	2	1	no	—
740	#683	—	2	1	no	—
741	#683	—	2	1	no	—
742	#683	—	2	1	no	—
743	#683	—	2	1	no	—
744	#683	—	2	1	no	—
745	C₄×Dic₅	—	2	1	no	—
746	C₄×Dic₅	—	2	1	no	—
747	C₄×Dic₅	—	2	1	no	—
748	C₄×Dic₅	—	2	1	no	—
749	C₄×Dic₅	—	2	1	no	—
750	C₄×Dic₅	—	2	1	no	—
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	—	2	2	no	—
756	Dic₂₀	—	2	2	no	—
757	#677	—	2	2	no	—
758	#677	—	2	2	no	—
759	#676	—	4	1	no	—
760	#676	—	4	1	no	—
761	#676	—	4	1	no	—
762	#676	—	4	1	no	—
763	C₈×D₅	—	4	1	no	—
764	C₈×D₅	—	4	1	no	—
765	C₈×D₅	—	4	1	no	—
766	C₈×D₅	—	4	1	no	—
767	C₂×2₋¹⁺⁴	—	5	1	no	—
768	C₂²×#41	—	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	C₂²×Q₁₆	—	5	1	no	—
774	C₂²×Q₁₆	—	5	1	no	—
775	C₂²×Q₁₆	—	5	1	no	—
776	C₂²×SD₁₆	—	5	1	no	—
777	#563	—	10	1	no	—
778	#563	—	10	1	no	—
779	#552	—	5	1	no	—
780	#552	—	5	1	no	—
781	#552	—	5	1	no	—
782	#552	—	5	1	no	—
783	#551	—	10	1	no	—
784	#551	—	10	1	no	—
785	D₄×Q₈	—	5	1	no	—
786	D₄×Q₈	—	5	1	no	—
787	D₄×Q₈	—	5	1	no	—
788	D₄×Q₈	—	5	1	no	—
789	D₄×Q₈	—	5	1	no	—
790	D₄×Q₈	—	5	1	no	—
791	#548	—	5	1	no	—
792	#548	—	5	1	no	—
793	#547	—	5	1	no	—
794	#547	—	5	1	no	—
795	#547	—	10	1	no	—
796	#547	—	10	1	no	—
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	10	1	no	—
800	#546	—	10	1	no	—
801	#544	—	10	1	no	—
802	#544	—	10	1	no	—
803	#541	—	5	1	no	—
804	#541	C₂×D₅	1	1	yes	characteristic, complemented
805	#539	—	10	1	no	—
806	#539	—	10	1	no	—
807	#537	—	5	1	no	—
808	#537	—	10	1	no	—
809	#536	—	5	1	no	—
810	#536	—	5	1	no	—
811	#536	—	10	1	no	—
812	#536	C₂×D₅	1	1	yes	characteristic
813	#525	—	5	1	no	—
814	#525	—	10	1	no	—
815	C₂×C₂²⋊Q₈	—	5	1	no	—
816	C₂×C₂²⋊Q₈	—	5	1	no	—
817	C₂×C₂²⋊Q₈	—	5	1	no	—
818	C₂×C₂²⋊Q₈	—	10	1	no	—
819	#520	—	5	1	no	—
820	#497	—	5	1	no	—
821	#497	C₂×D₅	1	1	yes	characteristic, complemented
822	#494	—	5	1	no	—
823	#494	C₂×D₅	1	1	yes	characteristic, complemented
824	#491	—	5	1	no	—
825	#491	C₂×D₅	1	1	yes	characteristic, complemented
826	#488	—	5	1	no	—
827	#488	C₂×D₅	1	1	yes	characteristic, complemented
828	#485	—	5	1	no	—
829	#485	—	5	1	no	—
830	#484	—	5	1	no	—
831	#484	—	5	1	no	—
832	#484	—	5	1	no	—
833	#484	—	5	1	no	—
834	#483	—	5	1	no	—
835	#483	—	5	1	no	—
836	#483	—	5	1	no	—
837	#483	—	5	1	no	—
838	#482	—	5	1	no	—
839	#482	—	5	1	no	—
840	#479	—	5	1	no	—
841	#479	—	5	1	no	—
842	#478	—	5	1	no	—
843	#478	—	5	1	no	—
844	#470	—	5	1	no	—
845	#470	—	5	1	no	—
846	#470	—	5	1	no	—
847	#470	—	5	1	no	—
848	#470	—	5	1	no	—
849	#470	—	5	1	no	—
850	#468	—	5	1	no	—
851	#468	—	5	1	no	—
852	#467	—	5	1	no	—
853	#467	—	5	1	no	—
854	#467	—	5	1	no	—
855	#467	—	5	1	no	—
856	#467	—	5	1	no	—
857	#467	—	5	1	no	—
858	#465	—	5	1	no	—
859	#465	—	5	1	no	—
860	#464	—	5	1	no	—
861	#464	—	5	1	no	—
862	#464	C₂×D₅	1	1	yes	characteristic, complemented
863	#464	C₂×D₅	1	1	yes	characteristic, complemented
864	#462	—	5	1	no	—
865	#462	—	5	1	no	—
866	#462	—	5	1	no	—
867	#462	—	5	1	no	—
868	#462	C₂×D₅	1	1	yes	characteristic, complemented
869	#462	C₂×D₅	1	1	yes	characteristic, complemented
870	#461	—	5	1	no	—
871	#461	—	5	1	no	—
872	#452	—	5	1	no	—
873	#452	—	5	1	no	—
874	#452	—	5	1	no	—
875	#452	—	5	1	no	—
876	#452	—	5	1	no	—
877	#452	—	5	1	no	—
878	#452	—	5	1	no	—
879	#452	—	5	1	no	—
880	#452	—	5	1	no	—
881	#452	—	5	1	no	—
882	#452	—	5	1	no	—
883	#452	—	5	1	no	—
884	#452	—	5	1	no	—
885	#452	—	5	1	no	—
886	#452	C₂×D₅	1	1	yes	characteristic
887	#452	C₂×D₅	1	1	yes	characteristic
888	#451	—	5	1	no	—
889	#451	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
903	#451	C₂×D₅	1	1	yes	characteristic, complemented
904	#450	—	5	1	no	—
905	#450	—	5	1	no	—
906	#448	—	5	1	no	—
907	#448	—	5	1	no	—
908	#441	—	5	1	no	—
909	#441	—	5	1	no	—
910	#440	—	5	1	no	—
911	#440	—	5	1	no	—
912	C₄×Q₁₆	—	5	1	no	—
913	C₄×Q₁₆	—	5	1	no	—
914	C₄×SD₁₆	—	5	1	no	—
915	C₄×SD₁₆	—	5	1	no	—
916	#436	—	5	1	no	—
917	#436	—	5	1	no	—
918	#435	—	5	1	no	—
919	#435	—	5	1	no	—
920	#435	—	5	1	no	—
921	#435	—	5	1	no	—
922	C₈×D₄	—	5	1	no	—
923	C₈×D₄	—	5	1	no	—
924	#433	—	5	1	no	—
925	#433	C₂×D₅	1	1	yes	characteristic, complemented
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×#102	—	5	1	no	—
934	#408	—	5	1	no	—
935	#408	—	5	1	no	—
936	#407	—	5	1	no	—
937	C₂×C₂²⋊C₈	—	5	1	no	—
938	C₂³×C₅	—	2	1	no	—
939	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
940	C₂²×D₅	—	2	1	no	—
941	C₂²×D₅	—	2	2	no	—
942	C₂²×D₅	—	4	1	no	—
943	C₂²×D₅	—	4	1	no	—
944	C₂²×D₅	—	4	2	no	—
945	C₂²×D₅	—	4	2	no	—
946	C₂²×D₅	—	8	1	no	—
947	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
948	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
949	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
950	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
959	C₅×Q₈	—	2	1	no	—
960	C₅×Q₈	—	2	1	no	—
961	C₅×Q₈	—	4	2	no	—
962	C₅×D₄	—	2	1	no	—
963	C₅×D₄	—	2	1	no	—
964	C₅×D₄	—	4	2	no	—
965	C₂×C₄×C₅	—	2	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	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
982	C₂²⋊D₅	—	2	4	no	—
983	C₂²⋊D₅	—	4	1	no	—
984	C₂²⋊D₅	—	4	1	no	—
985	C₂²⋊D₅	—	4	2	no	—
986	C₂²⋊D₅	—	4	2	no	—
987	C₂²⋊D₅	—	8	1	no	—
988	C₂²⋊D₅	—	8	1	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	1	no	—
997	C₂×Dic₅	—	4	2	no	—
998	C₂×Dic₅	—	8	1	no	—
999	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1000	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1001	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1002	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1003	D₂₀	—	2	2	no	—
1004	D₂₀	—	2	2	no	—
1005	D₂₀	—	2	1	no	—
1006	D₂₀	—	4	1	no	—
1007	D₂₀	—	4	1	no	—
1008	D₂₀	—	4	1	no	—
1009	D₂₀	—	4	2	no	—
1010	D₂₀	—	4	2	no	—
1011	D₂₀	—	4	2	no	—
1012	D₂₀	H(5,𝔽₂)	1	2	yes	—
1013	C₄×D₅	—	2	4	no	—
1014	C₄×D₅	—	2	1	no	—
1015	C₄×D₅	—	2	1	no	—
1016	C₄×D₅	—	2	1	no	—
1017	C₄×D₅	—	2	1	no	—
1018	C₄×D₅	—	2	1	no	—
1019	C₄×D₅	—	2	1	no	—
1020	C₄×D₅	—	2	1	no	—
1021	C₄×D₅	—	2	1	no	—
1022	C₄×D₅	—	4	1	no	—
1023	C₄×D₅	—	4	1	no	—
1024	C₄×D₅	—	4	2	no	—
1025	C₄×D₅	—	4	2	no	—
1026	C₄×D₅	—	4	2	no	—
1027	C₄×D₅	—	4	2	no	—
1028	C₄×D₅	—	4	2	no	—
1029	C₄×D₅	—	4	2	no	—
1030	C₄×D₅	—	4	2	no	—
1031	C₄×D₅	—	4	2	no	—
1032	C₄×D₅	—	8	1	no	—
1033	C₄×D₅	—	8	1	no	—
1034	C₄×D₅	—	8	1	no	—
1035	C₄×D₅	—	8	1	no	—
1036	C₄×D₅	—	8	1	no	—
1037	C₄×D₅	—	8	1	no	—
1038	Dic₁₀	—	2	1	no	—
1039	Dic₁₀	—	2	1	no	—
1040	Dic₁₀	—	2	1	no	—
1041	Dic₁₀	—	2	1	no	—
1042	Dic₁₀	—	2	1	no	—
1043	Dic₁₀	—	4	1	no	—
1044	Dic₁₀	—	4	2	no	—
1045	Dic₁₀	—	4	2	no	—
1046	Dic₁₀	—	4	2	no	—
1047	Dic₁₀	—	8	1	no	—
1048	Dic₁₀	—	8	1	no	—
1049	Dic₁₀	—	8	1	no	—
1050	Dic₁₀	—	8	1	no	—
1051	Dic₁₀	H(5,𝔽₂)	1	2	yes	—
1052	C₅×C₈	—	2	1	no	—
1053	C₅×C₈	—	2	1	no	—
1054	C₅×C₈	—	2	1	no	—
1055	C₅×C₈	—	2	1	no	—
1056	#168	—	2	1	no	—
1057	#168	—	2	1	no	—
1058	#168	—	2	1	no	—
1059	#168	—	2	1	no	—
1060	2₋¹⁺⁴	—	20	2	no	—
1061	2₋¹⁺⁴	—	20	2	no	—
1062	C₂×#41	—	5	1	no	—
1063	C₂×#41	—	5	1	no	—
1064	C₂×#41	—	5	1	no	—
1065	C₂×#41	—	5	1	no	—
1066	C₂×#41	—	5	1	no	—
1067	C₂×#41	—	5	1	no	—
1068	C₂×#41	—	10	1	no	—
1069	C₂×#41	—	10	1	no	—
1070	C₂×#41	—	10	1	no	—
1071	C₂×#41	—	10	1	no	—
1072	C₂×#41	—	10	1	no	—
1073	C₂×#41	—	20	2	no	—
1074	C₂×#41	—	20	2	no	—
1075	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1076	C₂²×Q₈	—	5	1	no	—
1077	C₂²×Q₈	—	5	1	no	—
1078	C₂²×Q₈	—	5	1	no	—
1079	C₂²×Q₈	—	5	1	no	—
1080	C₂²×Q₈	—	5	1	no	—
1081	C₂²×Q₈	—	5	1	no	—
1082	C₂²×Q₈	—	5	1	no	—
1083	C₂²×Q₈	—	10	1	no	—
1084	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1085	C₂²×D₄	—	5	1	no	—
1086	C₂²×D₄	—	10	1	no	—
1087	C₂³×C₄	—	5	1	no	—
1088	C₂³×C₄	—	10	1	no	—
1089	#137	—	20	2	no	—
1090	#137	—	20	2	no	—
1091	#137	—	20	2	no	—
1092	#137	—	20	2	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	—	5	1	no	—
1103	C₂×Q₁₆	—	20	2	no	—
1104	C₂×Q₁₆	—	20	2	no	—
1105	C₂×Q₁₆	—	20	2	no	—
1106	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1107	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1108	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1109	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1110	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1111	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1112	C₂×SD₁₆	—	5	1	no	—
1113	C₂×SD₁₆	—	5	1	no	—
1114	C₂×SD₁₆	—	5	1	no	—
1115	C₂×SD₁₆	—	5	1	no	—
1116	C₂×SD₁₆	—	5	1	no	—
1117	C₂×SD₁₆	—	5	1	no	—
1118	C₂×SD₁₆	—	20	2	no	—
1119	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1120	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1121	C₂×M₁₆	—	5	1	no	—
1122	C₂×M₁₆	—	5	1	no	—
1123	C₂×M₁₆	—	5	1	no	—
1124	C₂×M₁₆	—	5	1	no	—
1125	C₂²×C₈	—	5	1	no	—
1126	C₂²×C₈	—	5	1	no	—
1127	C₂²×C₈	—	5	1	no	—
1128	C₂²×C₈	—	5	1	no	—
1129	C₄⋊Q₈	—	5	1	no	—
1130	C₄⋊Q₈	—	10	1	no	—
1131	C₄⋊Q₈	—	10	1	no	—
1132	C₄⋊Q₈	—	10	1	no	—
1133	C₄⋊Q₈	—	10	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	C₂²×D₅	1	1	yes	characteristic
1139	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1140	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1141	#126	—	2	1	no	—
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	#125	—	2	1	no	—
1150	#125	—	2	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	C₂²×D₅	1	1	yes	characteristic
1159	#124	—	10	1	no	—
1160	#124	—	10	1	no	—
1161	#124	—	10	1	no	—
1162	#124	—	10	1	no	—
1163	#124	C₂²×D₅	1	1	yes	characteristic
1164	#124	C₂²×D₅	1	1	yes	characteristic
1165	#123	—	2	1	no	—
1166	#123	—	2	1	no	—
1167	#123	—	5	1	no	—
1168	#123	—	5	1	no	—
1169	#123	—	10	1	no	—
1170	#123	—	10	1	no	—
1171	#123	—	10	1	no	—
1172	#123	—	10	1	no	—
1173	#123	—	10	1	no	—
1174	#123	—	10	1	no	—
1175	#123	—	10	1	no	—
1176	#123	—	10	1	no	—
1177	#123	—	10	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	C₂²⋊Q₈	—	2	1	no	—
1184	C₂²⋊Q₈	—	2	1	no	—
1185	C₂²⋊Q₈	—	5	1	no	—
1186	C₂²⋊Q₈	—	5	1	no	—
1187	C₂²⋊Q₈	—	5	1	no	—
1188	C₂²⋊Q₈	—	5	1	no	—
1189	C₂²⋊Q₈	—	5	1	no	—
1190	C₂²⋊Q₈	—	5	1	no	—
1191	C₂²⋊Q₈	—	5	1	no	—
1192	C₂²⋊Q₈	—	5	1	no	—
1193	C₂²⋊Q₈	—	5	1	no	—
1194	C₂²⋊Q₈	—	5	1	no	—
1195	C₂²⋊Q₈	—	5	1	no	—
1196	C₂²⋊Q₈	—	5	1	no	—
1197	C₂²⋊Q₈	—	5	1	no	—
1198	C₂²⋊Q₈	—	5	1	no	—
1199	C₂²⋊Q₈	—	5	1	no	—
1200	C₂²⋊Q₈	—	5	1	no	—
1201	C₂²⋊Q₈	—	5	1	no	—
1202	C₂²⋊Q₈	—	5	1	no	—
1203	C₂²⋊Q₈	—	10	1	no	—
1204	C₂²⋊Q₈	—	10	1	no	—
1205	C₂²⋊Q₈	—	10	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	C₂²×D₅	1	1	yes	characteristic
1225	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1226	#121	—	5	1	no	—
1227	#121	—	5	1	no	—
1228	#121	—	5	1	no	—
1229	#121	—	5	1	no	—
1230	#121	—	10	1	no	—
1231	#121	—	10	1	no	—
1232	#121	—	10	1	no	—
1233	#121	—	10	1	no	—
1234	#121	—	10	1	no	—
1235	#121	—	10	1	no	—
1236	#121	—	10	1	no	—
1237	#121	—	10	1	no	—
1238	#121	—	10	1	no	—
1239	#120	—	5	1	no	—
1240	#120	—	5	1	no	—
1241	#120	—	10	1	no	—
1242	#120	—	10	1	no	—
1243	C₄×Q₈	—	5	1	no	—
1244	C₄×Q₈	—	5	1	no	—
1245	C₄×Q₈	—	5	1	no	—
1246	C₄×Q₈	—	5	1	no	—
1247	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1248	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1249	C₄×D₄	—	5	1	no	—
1250	C₄×D₄	—	5	1	no	—
1251	C₄×D₄	—	5	1	no	—
1252	C₄×D₄	—	5	1	no	—
1253	C₄×D₄	—	5	1	no	—
1254	C₄×D₄	—	5	1	no	—
1255	C₄×D₄	—	10	1	no	—
1256	C₄×D₄	—	10	1	no	—
1257	C₄×D₄	—	10	1	no	—
1258	C₄×D₄	—	10	1	no	—
1259	C₄×D₄	—	10	1	no	—
1260	C₄×D₄	—	10	1	no	—
1261	C₄×D₄	—	10	1	no	—
1262	C₄×D₄	—	10	1	no	—
1263	C₄×D₄	—	10	1	no	—
1264	C₄×D₄	—	10	1	no	—
1265	#117	—	5	1	no	—
1266	#117	—	5	1	no	—
1267	#117	—	10	1	no	—
1268	#117	—	10	1	no	—
1269	#117	—	10	1	no	—
1270	#117	—	10	1	no	—
1271	#117	—	10	1	no	—
1272	#117	C₂²×D₅	1	1	yes	characteristic
1273	C₂×C₄⋊C₄	—	5	1	no	—
1274	C₂×C₄⋊C₄	—	5	1	no	—
1275	C₂×C₄⋊C₄	—	5	1	no	—
1276	C₂×C₄⋊C₄	—	10	1	no	—
1277	C₂×C₄⋊C₄	—	10	1	no	—
1278	C₂×C₄⋊C₄	—	10	1	no	—
1279	C₂×C₄⋊C₄	—	10	1	no	—
1280	C₂×C₄⋊C₄	—	10	1	no	—
1281	C₂×C₄⋊C₄	—	10	1	no	—
1282	C₂×C₂²⋊C₄	—	10	1	no	—
1283	C₂×C₂²⋊C₄	—	10	1	no	—
1284	C₂×C₂²⋊C₄	—	10	1	no	—
1285	C₂×C₂²⋊C₄	—	10	1	no	—
1286	C₂×C₂²⋊C₄	—	10	1	no	—
1287	#107	—	5	1	no	—
1288	#107	—	5	1	no	—
1289	#107	—	5	1	no	—
1290	#107	—	5	1	no	—
1291	#106	—	5	1	no	—
1292	#106	—	5	1	no	—
1293	#106	—	5	1	no	—
1294	#106	—	5	1	no	—
1295	C₄⋊C₈	—	5	1	no	—
1296	C₄⋊C₈	—	5	1	no	—
1297	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1298	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1312	#103	—	5	1	no	—
1313	#103	—	5	1	no	—
1314	#103	—	5	1	no	—
1315	#103	—	5	1	no	—
1316	#103	—	5	1	no	—
1317	#103	C₂²×D₅	1	1	yes	characteristic
1318	#103	C₂²×D₅	1	1	yes	characteristic
1319	#103	C₂²×D₅	1	1	yes	characteristic
1320	#103	C₂²×D₅	1	1	yes	characteristic
1321	#103	C₂²×D₅	1	1	yes	characteristic
1322	#103	C₂²×D₅	1	1	yes	characteristic
1323	#102	—	5	1	no	—
1324	#102	—	5	1	no	—
1325	#102	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	—	5	1	no	—
1329	#102	C₂²×D₅	1	1	yes	characteristic
1330	#102	C₂²×D₅	1	1	yes	characteristic
1331	C₂²⋊C₈	—	5	1	no	—
1332	C₂²⋊C₈	—	5	1	no	—
1333	C₂²⋊C₈	—	5	1	no	—
1334	C₂²⋊C₈	—	5	1	no	—
1335	C₂²⋊C₈	—	5	1	no	—
1336	C₂²⋊C₈	—	5	1	no	—
1337	C₂²⋊C₈	—	5	1	no	—
1338	C₂²⋊C₈	—	5	1	no	—
1339	C₂²⋊C₈	—	5	1	no	—
1340	C₂²⋊C₈	—	5	1	no	—
1341	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1342	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1343	#97	—	5	1	no	—
1344	#97	C₂²×D₅	1	1	yes	characteristic
1345	C₄×C₈	—	5	1	no	—
1346	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1347	C₂²×C₅	—	2	1	no	—
1348	C₂²×C₅	—	2	1	no	—
1349	C₂²×C₅	—	2	1	no	—
1350	C₂²×C₅	—	4	1	no	—
1351	C₂²×C₅	—	4	1	no	—
1352	C₂²×C₅	—	4	1	no	—
1353	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1354	C₂×D₅	—	2	1	no	—
1355	C₂×D₅	—	2	1	no	—
1356	C₂×D₅	—	2	1	no	—
1357	C₂×D₅	—	2	1	no	—
1358	C₂×D₅	—	2	1	no	—
1359	C₂×D₅	—	2	2	no	—
1360	C₂×D₅	—	2	1	no	—
1361	C₂×D₅	—	2	1	no	—
1362	C₂×D₅	—	2	1	no	—
1363	C₂×D₅	—	2	1	no	—
1364	C₂×D₅	—	2	1	no	—
1365	C₂×D₅	—	2	1	no	—
1366	C₂×D₅	—	4	1	no	—
1367	C₂×D₅	—	4	1	no	—
1368	C₂×D₅	—	8	2	no	—
1369	C₂×D₅	—	8	4	no	—
1370	C₂×D₅	#578	1	2	yes	—
1371	C₄×C₅	—	2	1	no	—
1372	C₄×C₅	—	2	1	no	—
1373	C₄×C₅	—	2	1	no	—
1374	C₄×C₅	—	2	1	no	—
1375	C₄×C₅	—	2	1	no	—
1376	C₄×C₅	—	4	1	no	—
1377	C₄×C₅	—	4	1	no	—
1378	C₄×C₅	—	4	1	no	—
1379	C₄×C₅	—	4	1	no	—
1380	C₄×C₅	—	4	1	no	—
1381	C₄×C₅	—	4	1	no	—
1382	C₄×C₅	—	4	1	no	—
1383	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1384	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1385	Dic₅	—	2	2	no	—
1386	Dic₅	—	2	1	no	—
1387	Dic₅	—	2	1	no	—
1388	Dic₅	—	2	1	no	—
1389	Dic₅	—	2	1	no	—
1390	Dic₅	—	4	1	no	—
1391	Dic₅	—	4	1	no	—
1392	Dic₅	—	4	1	no	—
1393	Dic₅	—	4	1	no	—
1394	Dic₅	—	4	1	no	—
1395	Dic₅	—	4	1	no	—
1396	C₂⁴	—	5	1	no	—
1397	C₂⁴	—	10	1	no	—
1398	#41	—	4	1	no	—
1399	#41	—	4	1	no	—
1400	#41	—	10	2	no	—
1401	#41	—	10	2	no	—
1402	#41	—	10	2	no	—
1403	#41	—	10	2	no	—
1404	#41	—	10	2	no	—
1405	#41	—	10	2	no	—
1406	#41	—	20	1	no	—
1407	#41	—	20	1	no	—
1408	#41	—	20	4	no	—
1409	#41	—	20	4	no	—
1410	#41	—	20	4	no	—
1411	#41	—	20	1	no	—
1412	#41	—	20	1	no	—
1413	#41	—	20	1	no	—
1414	#41	—	20	1	no	—
1415	#41	—	20	4	no	—
1416	#41	—	20	4	no	—
1417	C₂×Q₈	—	2	1	no	—
1418	C₂×Q₈	—	4	1	no	—
1419	C₂×Q₈	—	4	1	no	—
1420	C₂×Q₈	—	5	1	no	—
1421	C₂×Q₈	—	5	1	no	—
1422	C₂×Q₈	—	5	1	no	—
1423	C₂×Q₈	—	5	1	no	—
1424	C₂×Q₈	—	10	1	no	—
1425	C₂×Q₈	—	10	1	no	—
1426	C₂×Q₈	—	10	1	no	—
1427	C₂×Q₈	—	10	1	no	—
1428	C₂×Q₈	—	10	1	no	—
1429	C₂×Q₈	—	10	1	no	—
1430	C₂×Q₈	—	10	1	no	—
1431	C₂×Q₈	—	10	2	no	—
1432	C₂×Q₈	—	10	2	no	—
1433	C₂×Q₈	—	10	2	no	—
1434	C₂×Q₈	—	20	1	no	—
1435	C₂×Q₈	—	20	1	no	—
1436	C₂×Q₈	—	20	1	no	—
1437	C₂×Q₈	—	20	4	no	—
1438	C₂×Q₈	—	20	1	no	—
1439	C₂×Q₈	—	20	1	no	—
1440	C₂×Q₈	—	20	1	no	—
1441	C₂×Q₈	—	20	1	no	—
1442	C₂×Q₈	—	20	1	no	—
1443	C₂×Q₈	—	20	1	no	—
1444	C₂×Q₈	—	20	1	no	—
1445	C₂×Q₈	—	20	1	no	—
1446	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1447	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1448	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1449	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1450	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	5	1	no	—
1453	C₂×D₄	—	5	1	no	—
1454	C₂×D₄	—	5	1	no	—
1455	C₂×D₄	—	5	1	no	—
1456	C₂×D₄	—	5	1	no	—
1457	C₂×D₄	—	5	1	no	—
1458	C₂×D₄	—	5	1	no	—
1459	C₂×D₄	—	5	1	no	—
1460	C₂×D₄	—	10	1	no	—
1461	C₂×D₄	—	10	1	no	—
1462	C₂×D₄	—	10	1	no	—
1463	C₂×D₄	—	10	1	no	—
1464	C₂×D₄	—	10	2	no	—
1465	C₂×D₄	—	10	1	no	—
1466	C₂×D₄	—	10	1	no	—
1467	C₂×D₄	—	10	1	no	—
1468	C₂×D₄	—	10	1	no	—
1469	C₂×D₄	—	20	1	no	—
1470	C₂×D₄	—	20	4	no	—
1471	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1472	C₂²×C₄	—	2	1	no	—
1473	C₂²×C₄	—	2	1	no	—
1474	C₂²×C₄	—	5	1	no	—
1475	C₂²×C₄	—	5	1	no	—
1476	C₂²×C₄	—	5	1	no	—
1477	C₂²×C₄	—	5	1	no	—
1478	C₂²×C₄	—	5	1	no	—
1479	C₂²×C₄	—	5	1	no	—
1480	C₂²×C₄	—	5	1	no	—
1481	C₂²×C₄	—	10	1	no	—
1482	C₂²×C₄	—	10	1	no	—
1483	C₂²×C₄	—	10	1	no	—
1484	C₂²×C₄	—	10	1	no	—
1485	C₂²×C₄	—	10	1	no	—
1486	C₂²×C₄	—	10	1	no	—
1487	C₂²×C₄	—	10	1	no	—
1488	C₂²×C₄	—	10	1	no	—
1489	C₂²×C₄	—	10	1	no	—
1490	C₂²×C₄	—	10	1	no	—
1491	C₂²×C₄	—	10	1	no	—
1492	C₂²×C₄	—	10	1	no	—
1493	C₂²×C₄	—	10	1	no	—
1494	C₂²×C₄	—	10	1	no	—
1495	C₂²×C₄	—	10	1	no	—
1496	C₂²×C₄	—	10	1	no	—
1497	C₂²×C₄	—	10	1	no	—
1498	C₂²×C₄	—	20	1	no	—
1499	C₂²×C₄	—	20	1	no	—
1500	C₂²×C₄	—	20	4	no	—
1501	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1502	Q₁₆	—	4	1	no	—
1503	Q₁₆	—	4	1	no	—
1504	Q₁₆	—	4	1	no	—
1505	Q₁₆	—	4	1	no	—
1506	Q₁₆	—	4	1	no	—
1507	Q₁₆	—	4	1	no	—
1508	Q₁₆	—	10	2	no	—
1509	Q₁₆	—	10	2	no	—
1510	Q₁₆	—	10	2	no	—
1511	Q₁₆	—	10	2	no	—
1512	Q₁₆	—	20	1	no	—
1513	Q₁₆	—	20	1	no	—
1514	Q₁₆	—	20	1	no	—
1515	Q₁₆	—	20	1	no	—
1516	Q₁₆	—	20	1	no	—
1517	Q₁₆	—	20	1	no	—
1518	SD₁₆	—	4	1	no	—
1519	SD₁₆	—	4	1	no	—
1520	SD₁₆	—	10	2	no	—
1521	SD₁₆	—	10	2	no	—
1522	SD₁₆	—	10	2	no	—
1523	SD₁₆	—	10	2	no	—
1524	SD₁₆	—	20	1	no	—
1525	SD₁₆	—	20	1	no	—
1526	M₁₆	—	20	1	no	—
1527	M₁₆	—	20	1	no	—
1528	M₁₆	—	20	1	no	—
1529	M₁₆	—	20	1	no	—
1530	C₂×C₈	—	5	1	no	—
1531	C₂×C₈	—	5	1	no	—
1532	C₂×C₈	—	5	1	no	—
1533	C₂×C₈	—	5	1	no	—
1534	C₂×C₈	—	20	1	no	—
1535	C₂×C₈	—	20	1	no	—
1536	C₂×C₈	—	20	1	no	—
1537	C₂×C₈	—	20	1	no	—
1538	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1539	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1540	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1541	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1542	C₄⋊C₄	—	2	1	no	—
1543	C₄⋊C₄	—	2	1	no	—
1544	C₄⋊C₄	—	2	1	no	—
1545	C₄⋊C₄	—	2	1	no	—
1546	C₄⋊C₄	—	2	1	no	—
1547	C₄⋊C₄	—	2	1	no	—
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	5	1	no	—
1555	C₄⋊C₄	—	5	1	no	—
1556	C₄⋊C₄	—	5	1	no	—
1557	C₄⋊C₄	—	5	1	no	—
1558	C₄⋊C₄	—	5	1	no	—
1559	C₄⋊C₄	—	5	1	no	—
1560	C₄⋊C₄	—	5	1	no	—
1561	C₄⋊C₄	—	5	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	—	10	1	no	—
1576	C₄⋊C₄	—	10	1	no	—
1577	C₄⋊C₄	—	10	1	no	—
1578	C₄⋊C₄	—	10	1	no	—
1579	C₄⋊C₄	—	10	1	no	—
1580	C₄⋊C₄	—	10	1	no	—
1581	C₄⋊C₄	—	10	1	no	—
1582	C₄⋊C₄	—	10	1	no	—
1583	C₄⋊C₄	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	—	10	1	no	—
1587	C₄⋊C₄	—	10	1	no	—
1588	C₄⋊C₄	—	10	1	no	—
1589	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1590	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1591	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1592	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	5	1	no	—
1600	C₂²⋊C₄	—	5	1	no	—
1601	C₂²⋊C₄	—	5	1	no	—
1602	C₂²⋊C₄	—	5	1	no	—
1603	C₂²⋊C₄	—	5	1	no	—
1604	C₂²⋊C₄	—	5	1	no	—
1605	C₂²⋊C₄	—	5	1	no	—
1606	C₂²⋊C₄	—	5	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	—	10	1	no	—
1617	C₂²⋊C₄	—	10	1	no	—
1618	C₂²⋊C₄	—	10	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	—	10	1	no	—
1621	C₂²⋊C₄	—	10	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1630	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1631	C₄²	—	2	1	no	—
1632	C₄²	—	2	1	no	—
1633	C₄²	—	10	1	no	—
1634	C₄²	—	10	1	no	—
1635	C₄²	—	10	1	no	—
1636	C₄²	—	10	1	no	—
1637	C₄²	—	10	1	no	—
1638	C₄²	—	10	1	no	—
1639	C₄²	C₂³×D₅	1	1	yes	characteristic
1640	C₄²	C₂³×D₅	1	1	yes	characteristic
1641	C₂×C₅	—	4	1	no	—
1642	C₂×C₅	—	8	1	no	—
1643	C₂×C₅	#3484	1	1	yes	characteristic
1644	C₂×C₅	C₂×#578	1	1	yes	characteristic
1645	C₂×C₅	#3586	1	1	yes	characteristic
1646	D₅	—	2	2	no	—
1647	D₅	—	4	1	no	—
1648	D₅	—	4	1	no	—
1649	D₅	—	4	1	no	—
1650	D₅	—	4	2	no	—
1651	C₂³	—	2	1	no	—
1652	C₂³	—	5	1	no	—
1653	C₂³	—	5	1	no	—
1654	C₂³	—	5	1	no	—
1655	C₂³	—	5	1	no	—
1656	C₂³	—	10	2	no	—
1657	C₂³	—	10	1	no	—
1658	C₂³	—	20	1	no	—
1659	C₂³	—	20	1	no	—
1660	C₂³	—	20	2	no	—
1661	C₂³	—	20	2	no	—
1662	C₂³	—	40	1	no	—
1663	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	2	1	no	—
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	2	1	no	—
1672	Q₈	—	2	1	no	—
1673	Q₈	—	2	1	no	—
1674	Q₈	—	4	2	no	—
1675	Q₈	—	5	2	no	—
1676	Q₈	—	10	1	no	—
1677	Q₈	—	10	1	no	—
1678	Q₈	—	10	1	no	—
1679	Q₈	—	10	1	no	—
1680	Q₈	—	10	1	no	—
1681	Q₈	—	20	1	no	—
1682	Q₈	—	20	2	no	—
1683	Q₈	—	20	2	no	—
1684	Q₈	—	20	2	no	—
1685	Q₈	—	40	1	no	—
1686	Q₈	—	40	1	no	—
1687	Q₈	—	40	1	no	—
1688	Q₈	—	40	1	no	—
1689	D₄	—	2	1	no	—
1690	D₄	—	2	1	no	—
1691	D₄	—	4	2	no	—
1692	D₄	—	5	2	no	—
1693	D₄	—	10	2	no	—
1694	D₄	—	10	2	no	—
1695	D₄	—	10	4	no	—
1696	D₄	—	10	1	no	—
1697	D₄	—	20	1	no	—
1698	D₄	—	20	1	no	—
1699	D₄	—	20	1	no	—
1700	D₄	—	20	2	no	—
1701	D₄	—	20	2	no	—
1702	D₄	—	20	2	no	—
1703	D₄	—	20	1	no	—
1704	D₄	—	20	1	no	—
1705	D₄	—	20	2	no	—
1706	D₄	—	20	2	no	—
1707	D₄	—	40	1	no	—
1708	D₄	—	40	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	4	2	no	—
1719	C₂×C₄	—	4	2	no	—
1720	C₂×C₄	—	5	1	no	—
1721	C₂×C₄	—	5	1	no	—
1722	C₂×C₄	—	5	1	no	—
1723	C₂×C₄	—	5	1	no	—
1724	C₂×C₄	—	10	4	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	—	10	1	no	—
1730	C₂×C₄	—	10	1	no	—
1731	C₂×C₄	—	10	1	no	—
1732	C₂×C₄	—	10	1	no	—
1733	C₂×C₄	—	10	1	no	—
1734	C₂×C₄	—	10	1	no	—
1735	C₂×C₄	—	10	1	no	—
1736	C₂×C₄	—	10	1	no	—
1737	C₂×C₄	—	10	1	no	—
1738	C₂×C₄	—	10	1	no	—
1739	C₂×C₄	—	10	1	no	—
1740	C₂×C₄	—	20	1	no	—
1741	C₂×C₄	—	20	1	no	—
1742	C₂×C₄	—	20	2	no	—
1743	C₂×C₄	—	20	2	no	—
1744	C₂×C₄	—	20	2	no	—
1745	C₂×C₄	—	20	2	no	—
1746	C₂×C₄	—	20	2	no	—
1747	C₂×C₄	—	20	2	no	—
1748	C₂×C₄	—	20	2	no	—
1749	C₂×C₄	—	20	2	no	—
1750	C₂×C₄	—	20	1	no	—
1751	C₂×C₄	—	20	2	no	—
1752	C₂×C₄	—	40	1	no	—
1753	C₂×C₄	—	40	1	no	—
1754	C₂×C₄	—	40	1	no	—
1755	C₂×C₄	—	40	1	no	—
1756	C₂×C₄	—	40	1	no	—
1757	C₂×C₄	—	40	1	no	—
1758	C₂×C₄	—	40	1	no	—
1759	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1760	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1761	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1762	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1763	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1764	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1765	C₈	—	2	1	no	—
1766	C₈	—	2	1	no	—
1767	C₈	—	2	1	no	—
1768	C₈	—	2	1	no	—
1769	C₈	—	10	1	no	—
1770	C₈	—	10	1	no	—
1771	C₈	—	10	1	no	—
1772	C₈	—	10	1	no	—
1773	C₅	#61622	1	1	yes	characteristic, complemented, Sylow
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	5	2	no	—
1781	C₂²	—	10	1	no	—
1782	C₂²	—	10	1	no	—
1783	C₂²	—	10	2	no	—
1784	C₂²	—	10	1	no	—
1785	C₂²	—	10	1	no	—
1786	C₂²	—	10	1	no	—
1787	C₂²	—	10	1	no	—
1788	C₂²	—	10	1	no	—
1789	C₂²	—	10	1	no	—
1790	C₂²	—	10	1	no	—
1791	C₂²	—	10	1	no	—
1792	C₂²	—	10	1	no	—
1793	C₂²	—	20	1	no	—
1794	C₂²	—	20	1	no	—
1795	C₂²	—	40	2	no	—
1796	C₂²	—	40	4	no	—
1797	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1798	C₄	—	2	1	no	—
1799	C₄	—	2	1	no	—
1800	C₄	—	2	1	no	—
1801	C₄	—	2	1	no	—
1802	C₄	—	2	1	no	—
1803	C₄	—	4	1	no	—
1804	C₄	—	4	1	no	—
1805	C₄	—	4	1	no	—
1806	C₄	—	4	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	—	4	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	10	1	no	—
1811	C₄	—	10	1	no	—
1812	C₄	—	10	1	no	—
1813	C₄	—	10	1	no	—
1814	C₄	—	10	2	no	—
1815	C₄	—	20	1	no	—
1816	C₄	—	20	1	no	—
1817	C₄	—	20	1	no	—
1818	C₄	—	20	1	no	—
1819	C₄	—	20	1	no	—
1820	C₄	—	20	1	no	—
1821	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1822	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1823	C₂	—	4	1	no	—
1824	C₂	—	8	1	no	—
1825	C₂	—	10	2	no	—
1826	C₂	—	20	1	no	—
1827	C₂	—	20	1	no	—
1828	C₂	—	20	1	no	—
1829	C₂	—	20	2	no	—
1830	C₂	#10618231	1	1	yes	characteristic
1831	C₂	D₅×#578	1	1	yes	characteristic
1832	C₂	#10619112	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×#3223	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618257	C₂
hypercenter	#3223	D₅
hypocenter	C₅	#61622
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3223

Complements

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

N	H ≅ G/N	type
1. #10618416	C₂	semidirect
3. C₅×#3223	C₂	semidirect
4. #10615177	C₂	semidirect
5. #10615145	C₂	semidirect
6. #10613615	C₂	semidirect
7. #10613612	C₂	semidirect
8. #10613538	C₂	semidirect
9. #10613536	C₂	semidirect
10. #10613481	C₂	semidirect
11. #10613480	C₂	semidirect
12. #10613390	C₂	semidirect
13. #10613383	C₂	semidirect
14. #10612362	C₂	semidirect
15. #10612358	C₂	semidirect
16. #10612353	C₂	semidirect
17. #10612346	C₂	semidirect
18. #10612232	C₂	semidirect
19. #10612225	C₂	semidirect
20. #10612224	C₂	semidirect
21. #10612221	C₂	semidirect
22. #10611969	C₂	semidirect
23. #10611968	C₂	semidirect
24. #10611959	C₂	semidirect
25. D₅×#452	C₂	semidirect
26. #10611920	C₂	semidirect
27. #10611918	C₂	semidirect
28. #10611916	C₂	semidirect
29. #10611916	C₂	semidirect
30. #10611116	C₂	semidirect
31. #10611107	C₂	semidirect
34. C₅×#541	C₂²	semidirect
39. C₂×#4064	C₂²	semidirect
40. C₂×#4064	C₂²	semidirect
42. C₂×D₅×Q₁₆	C₂²	semidirect
43. C₂×D₅×Q₁₆	C₂²	semidirect
49. #66061	C₂²	semidirect
57. #66028	C₂²	semidirect
72. #65962	C₂²	semidirect
73. #65962	C₂²	semidirect
79. #65915	C₂²	semidirect
81. Q₈×D₂₀	C₂²	semidirect
84. #65852	C₂²	semidirect
85. C₅×#497	C₂²	semidirect
86. C₅×#494	C₂²	semidirect
87. C₅×#491	C₂²	semidirect
88. C₅×#488	C₂²	semidirect
89. C₅×#464	C₂²	semidirect
90. C₅×#464	C₂²	semidirect
91. C₅×#462	C₂²	semidirect
92. C₅×#462	C₂²	semidirect
95. C₅×#451	C₂²	semidirect
96. C₅×#451	C₂²	semidirect
97. C₅×#433	C₂²	semidirect
100. #65517	C₂²	semidirect
101. #65517	C₂²	semidirect
102. #65478	C₂²	semidirect
103. #65478	C₂²	semidirect
104. #65478	C₂²	semidirect
107. #65477	C₂²	semidirect
109. #65476	C₂²	semidirect
110. #65476	C₂²	semidirect
114. #65475	C₂²	semidirect
115. #65475	C₂²	semidirect
116. #65475	C₂²	semidirect
117. #65475	C₂²	semidirect
118. #65475	C₂²	semidirect
119. #65475	C₂²	semidirect
120. #65463	C₂²	semidirect
122. #65460	C₂²	semidirect
123. #65459	C₂²	semidirect
124. #65459	C₂²	semidirect
126. #65381	C₂²	semidirect
127. #65379	C₂²	semidirect
128. #65379	C₂²	semidirect
129. #65379	C₂²	semidirect
130. #65372	C₂²	semidirect
131. #65371	C₂²	semidirect
132. #65355	C₂²	semidirect
133. #65352	C₂²	semidirect
134. #65349	C₂²	semidirect
135. #65345	C₂²	semidirect
136. #65343	C₂²	semidirect
137. #65343	C₂²	semidirect
140. #65333	C₂²	semidirect
141. #65332	C₂²	semidirect
142. #65319	C₂²	semidirect
143. C₄×#689	C₂²	semidirect
144. #65315	C₂²	semidirect
145. C₄×#688	C₂²	semidirect
146. #65289	C₂²	semidirect
147. #65138	C₂²	semidirect
148. #65136	C₂²	semidirect
149. #65130	C₂²	semidirect
150. #65127	C₂²	semidirect
152. #65125	C₂²	semidirect
154. #65118	C₂²	semidirect
155. #65105	C₂²	semidirect
156. #65105	C₂²	semidirect
157. #65105	C₂²	semidirect
158. #65104	C₂²	semidirect
159. #65103	C₂²	semidirect
162. #65102	C₂²	semidirect
164. #65099	C₂²	semidirect
165. #65099	C₂²	semidirect
166. #65098	C₂²	semidirect
167. #65098	C₂²	semidirect
169. #65097	C₂²	semidirect
170. #65097	C₂²	semidirect
173. #65093	C₂²	semidirect
174. #65093	C₂²	semidirect
176. #65091	C₂²	semidirect
177. #65091	C₂²	semidirect
179. #65073	C₂²	semidirect
181. #65069	C₂²	semidirect
182. #65068	C₂²	semidirect
183. #65067	C₂²	semidirect
189. #65016	C₂²	semidirect
190. #65016	C₂²	semidirect
193. #65011	C₂²	semidirect
194. #65010	C₂²	semidirect
195. #65005	C₂²	semidirect
196. #64999	C₂²	semidirect
198. #64995	C₂²	semidirect
199. C₄×Dic₂₀	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64977	C₂²	semidirect
510. #3223	D₅	semidirect
804. #541	C₂×D₅	semidirect
821. #497	C₂×D₅	semidirect
823. #494	C₂×D₅	semidirect
825. #491	C₂×D₅	semidirect
827. #488	C₂×D₅	semidirect
862. #464	C₂×D₅	semidirect
863. #464	C₂×D₅	semidirect
868. #462	C₂×D₅	semidirect
869. #462	C₂×D₅	semidirect
902. #451	C₂×D₅	semidirect
903. #451	C₂×D₅	semidirect
925. #433	C₂×D₅	semidirect
1773. C₅	#61622	semidirect

Maximal subgroups

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

subgroup	index
#10618416	2
#10618257	2
C₅×#3223	2
#10615177	2
#10615145	2
#10613615	2
#10613612	2
#10613538	2
#10613536	2
#10613481	2
#10613480	2
#10613390	2
#10613383	2
#10612362	2
#10612358	2
#10612353	2
#10612346	2
#10612232	2
#10612225	2
#10612224	2
#10612221	2
#10611969	2
#10611968	2
#10611959	2
D₅×#452	2
#10611920	2
#10611918	2
#10611916	2
#10611116	2
#10611107	2
#61622	5