Subgroups — #12976430

Order 1280.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618527	C₂	1	1	yes	maximal, characteristic
3	C₅×#3323	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615336	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615232	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613385	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613372	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613258	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613247	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613063	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613056	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612917	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612898	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612646	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612635	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612555	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612537	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612347	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612329	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611985	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611959	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611892	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611878	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611408	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#4061	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611293	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611271	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610665	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610655	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610630	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#417	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂²×#711	C₂²	1	1	yes	characteristic
34	C₅×#552	C₂²	1	1	yes	characteristic, complemented
35	C₅×#546	C₂²	1	1	yes	characteristic
36	#66158	C₂²	1	1	yes	characteristic
37	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
38	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
39	C₂×#4061	C₂²	1	1	yes	characteristic
40	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
43	#66042	—	2	1	no	—
44	D₅×#126	—	2	1	no	—
45	#66028	C₂²	1	1	yes	characteristic, complemented
46	#66027	—	2	1	no	—
47	D₅×#125	—	2	1	no	—
48	D₅×#125	C₂²	1	1	yes	characteristic, complemented
49	#66011	C₂²	1	1	yes	characteristic
50	#66002	C₂²	1	1	yes	characteristic
51	#65990	—	2	1	no	—
52	#65989	—	2	1	no	—
53	D₅×#123	—	2	1	no	—
54	#65984	—	2	1	no	—
55	#65976	C₂²	1	1	yes	characteristic, complemented
56	#65973	C₂²	1	1	yes	characteristic
57	#65966	C₂²	1	1	yes	characteristic
58	#65961	C₂²	1	1	yes	characteristic
59	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
60	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
61	#65944	—	2	1	no	—
62	#65940	C₂²	1	1	yes	characteristic
63	#65933	C₂²	1	1	yes	characteristic
64	#65930	—	2	1	no	—
65	#65924	—	2	1	no	—
66	#65920	—	2	1	no	—
67	#65915	C₂²	1	1	yes	characteristic, complemented
68	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
69	#65888	C₂²	1	1	yes	characteristic
70	#65886	C₂²	1	1	yes	characteristic
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
72	#65875	C₂²	1	1	yes	characteristic, complemented
73	C₄×#711	C₂²	1	1	yes	characteristic
74	#65865	—	2	1	no	—
75	#65863	C₂²	1	1	yes	characteristic
76	D₅×#117	—	2	1	no	—
77	D₅×#117	C₂²	1	1	yes	characteristic, complemented
78	#65847	C₂²	1	1	yes	characteristic, complemented
79	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
80	#65824	—	2	1	no	—
81	C₂×#4027	—	2	1	no	—
82	C₅×#488	C₂²	1	1	yes	characteristic, complemented
83	C₅×#485	C₂²	1	1	yes	characteristic, complemented
84	C₅×#481	C₂²	1	1	yes	characteristic, complemented
85	C₅×#478	C₂²	1	1	yes	characteristic, complemented
86	C₅×#470	C₂²	1	1	yes	characteristic, complemented
87	C₅×#468	C₂²	1	1	yes	characteristic, complemented
88	C₅×#464	C₂²	1	1	yes	characteristic, complemented
89	C₅×#452	C₂²	1	1	yes	characteristic, complemented
90	C₅×#450	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₅×#436	C₂²	1	1	yes	characteristic, complemented
93	C₅×#418	C₂²	1	1	yes	characteristic, complemented
94	C₅×#417	C₂²	1	1	yes	characteristic, complemented
95	#65528	C₂²	1	1	yes	characteristic, complemented
96	#65521	C₂²	1	1	yes	characteristic, complemented
97	#65507	C₂²	1	1	yes	characteristic, complemented
98	#65504	C₂²	1	1	yes	characteristic, complemented
99	#65477	C₂²	1	1	yes	characteristic, complemented
100	#65475	C₂²	1	1	yes	characteristic, complemented
101	#65471	C₂²	1	1	yes	characteristic, complemented
102	#65462	C₂²	1	1	yes	characteristic, complemented
103	#65462	C₂²	1	1	yes	characteristic, complemented
104	#65460	C₂²	1	1	yes	characteristic, complemented
105	#65458	C₂²	1	1	yes	characteristic, complemented
106	#65453	C₂²	1	1	yes	characteristic, complemented
107	#65452	C₂²	1	1	yes	characteristic, complemented
108	#65426	C₂²	1	1	yes	characteristic, complemented
109	#65423	C₂²	1	1	yes	characteristic, complemented
110	#65422	C₂²	1	1	yes	characteristic, complemented
111	#65416	C₂²	1	1	yes	characteristic
112	#65416	C₂²	1	1	yes	characteristic, complemented
113	#65409	C₂²	1	1	yes	characteristic, complemented
114	#65357	C₂²	1	1	yes	characteristic, complemented
115	#65352	C₂²	1	1	yes	characteristic, complemented
116	#65345	C₂²	1	1	yes	characteristic, complemented
117	#65343	C₂²	1	1	yes	characteristic, complemented
118	#65341	C₂²	1	1	yes	characteristic, complemented
119	#65341	C₂²	1	1	yes	characteristic, complemented
120	#65339	C₂²	1	1	yes	characteristic, complemented
121	#65338	C₂²	1	1	yes	characteristic, complemented
122	#65336	C₂²	1	1	yes	characteristic, complemented
123	#65334	C₂²	1	1	yes	characteristic, complemented
124	#65331	C₂²	1	1	yes	characteristic, complemented
125	#65323	C₂²	1	1	yes	characteristic, complemented
126	C₄×#689	C₂²	1	1	yes	characteristic, complemented
127	#65317	C₂²	1	1	yes	characteristic, complemented
128	C₄×#687	C₂²	1	1	yes	characteristic, complemented
129	#65301	C₂²	1	1	yes	characteristic, complemented
130	#65298	C₂²	1	1	yes	characteristic, complemented
131	#65293	C₂²	1	1	yes	characteristic, complemented
132	#65292	C₂²	1	1	yes	characteristic, complemented
133	#65259	C₂²	1	1	yes	characteristic, complemented
134	#65255	C₂²	1	1	yes	characteristic, complemented
135	#65176	C₂²	1	1	yes	characteristic, complemented
136	#65174	C₂²	1	1	yes	characteristic, complemented
137	#65170	C₂²	1	1	yes	characteristic, complemented
138	#65166	C₂²	1	1	yes	characteristic, complemented
139	#65155	C₂²	1	1	yes	characteristic, complemented
140	#65153	C₂²	1	1	yes	characteristic, complemented
141	#65151	C₂²	1	1	yes	characteristic, complemented
142	#65151	C₂²	1	1	yes	characteristic, complemented
143	#65150	C₂²	1	1	yes	characteristic, complemented
144	#65150	C₂²	1	1	yes	characteristic, complemented
145	#65146	C₂²	1	1	yes	characteristic, complemented
146	#65142	C₂²	1	1	yes	characteristic, complemented
147	#65134	C₂²	1	1	yes	characteristic, complemented
148	#65126	C₂²	1	1	yes	characteristic, complemented
149	#65123	C₂²	1	1	yes	characteristic, complemented
150	#65118	C₂²	1	1	yes	characteristic, complemented
151	#65104	C₂²	1	1	yes	characteristic, complemented
152	#65103	C₂²	1	1	yes	characteristic, complemented
153	#65102	C₂²	1	1	yes	characteristic, complemented
154	#65102	C₂²	1	1	yes	characteristic, complemented
155	#65097	C₂²	1	1	yes	characteristic, complemented
156	#65096	C₂²	1	1	yes	characteristic, complemented
157	#65092	C₂²	1	1	yes	characteristic, complemented
158	#65092	C₂²	1	1	yes	characteristic, complemented
159	#65092	C₂²	1	1	yes	characteristic, complemented
160	#65091	C₂²	1	1	yes	characteristic, complemented
161	D₅×#103	C₂²	1	1	yes	characteristic, complemented
162	D₅×#103	C₂²	1	1	yes	characteristic, complemented
163	#65086	C₂²	1	1	yes	characteristic, complemented
164	#65086	C₂²	1	1	yes	characteristic, complemented
165	#65082	C₂²	1	1	yes	characteristic, complemented
166	#65078	C₂²	1	1	yes	characteristic, complemented
167	#65072	C₂²	1	1	yes	characteristic, complemented
168	#65072	C₂²	1	1	yes	characteristic, complemented
169	#65067	C₂²	1	1	yes	characteristic, complemented
170	#65065	C₂²	1	1	yes	characteristic, complemented
171	#65063	C₂²	1	1	yes	characteristic, complemented
172	#65063	C₂²	1	1	yes	characteristic, complemented
173	#65061	C₂²	1	1	yes	characteristic, complemented
174	#65061	C₂²	1	1	yes	characteristic, complemented
175	#65061	C₂²	1	1	yes	characteristic, complemented
176	#65061	C₂²	1	1	yes	characteristic, complemented
177	#65060	C₂²	1	1	yes	characteristic
178	#65060	C₂²	1	1	yes	characteristic
179	#65060	C₂²	1	1	yes	characteristic
180	#65060	C₂²	1	1	yes	characteristic, complemented
181	#65060	C₂²	1	1	yes	characteristic, complemented
182	#65060	C₂²	1	1	yes	characteristic, complemented
183	D₅×#102	C₂²	1	1	yes	characteristic, complemented
184	D₅×#102	C₂²	1	1	yes	characteristic, complemented
185	#65055	C₂²	1	1	yes	characteristic, complemented
186	#65053	C₂²	1	1	yes	characteristic, complemented
187	#65053	C₂²	1	1	yes	characteristic, complemented
188	#65052	C₂²	1	1	yes	characteristic, complemented
189	#65051	C₂²	1	1	yes	characteristic, complemented
190	#65046	C₂²	1	1	yes	characteristic, complemented
191	#65028	C₂²	1	1	yes	characteristic, complemented
192	#65026	C₂²	1	1	yes	characteristic, complemented
193	#65022	C₂²	1	1	yes	characteristic, complemented
194	#65017	C₂²	1	1	yes	characteristic
195	#65017	C₂²	1	1	yes	characteristic, complemented
196	#65015	C₂²	1	1	yes	characteristic, complemented
197	#65015	C₂²	1	1	yes	characteristic, complemented
198	#65011	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
200	#64986	C₂²	1	1	yes	characteristic, complemented
201	C₄×#676	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
203	#61163	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₅	—	2	1	no	—
207	C₂²×C₂²⋊D₅	—	2	1	no	—
208	C₂³×Dic₅	—	2	1	no	—
209	D₅×#41	—	2	4	no	—
210	D₅×#41	—	4	2	no	—
211	C₂×#713	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
214	C₂×#711	—	2	4	no	—
215	C₂×#711	—	2	1	no	—
216	C₂×#711	—	2	1	no	—
217	C₂×#711	—	2	1	no	—
218	C₂×#711	—	4	2	no	—
219	C₂×#711	C₂³	1	1	yes	characteristic
220	C₂×#711	C₂³	1	1	yes	characteristic
221	C₂×#711	C₂³	1	1	yes	characteristic
222	C₂×#711	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	D₄	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×#709	—	2	1	no	—
227	C₂×#709	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₅	—	2	1	no	—
229	C₂²×C₄×D₅	—	2	1	no	—
230	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
232	C₂²×Dic₁₀	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×M₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
238	C₅×#126	—	2	1	no	—
239	C₅×#125	—	2	1	no	—
240	C₅×#125	C₂³	1	1	yes	characteristic
241	C₅×#124	C₂³	1	1	yes	characteristic
242	C₅×#123	—	2	1	no	—
243	C₅×#123	—	2	1	no	—
244	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₅×#121	—	2	1	no	—
248	C₅×#121	C₂³	1	1	yes	characteristic
249	C₅×#120	—	2	1	no	—
250	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
251	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
252	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
253	C₅×#117	—	2	1	no	—
254	C₅×#117	C₂³	1	1	yes	characteristic
255	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
257	#4099	—	2	1	no	—
258	#4092	C₂³	1	1	yes	characteristic
259	#4092	C₂³	1	1	yes	characteristic
260	#4092	C₂³	1	1	yes	characteristic
261	Q₈×Dic₅	C₂³	1	1	yes	characteristic
262	#4090	C₂³	1	1	yes	characteristic
263	C₂×#689	C₂³	1	1	yes	characteristic
264	C₂×#689	C₂³	1	1	yes	characteristic
265	C₂×#689	C₂³	1	1	yes	characteristic
266	C₂×#688	C₂³	1	1	yes	characteristic
267	#4086	—	2	1	no	—
268	#4086	C₂³	1	1	yes	characteristic
269	#4085	—	2	1	no	—
270	#4085	—	2	1	no	—
271	#4085	—	2	1	no	—
272	#4085	—	2	1	no	—
273	#4084	C₂³	1	1	yes	characteristic
274	#4083	—	2	1	no	—
275	#4083	—	2	1	no	—
276	#4081	—	2	1	no	—
277	#4081	—	2	1	no	—
278	D₄×Dic₅	—	2	1	no	—
279	D₄×Dic₅	D₄	1	1	yes	characteristic
280	D₄×Dic₅	C₂³	1	1	yes	characteristic
281	C₂×#687	C₂³	1	1	yes	characteristic
282	C₂×#687	C₂³	1	1	yes	characteristic
283	#4076	—	2	1	no	—
284	#4076	C₂³	1	1	yes	characteristic
285	#4075	—	2	1	no	—
286	#4075	—	2	1	no	—
287	C₄×C₂²⋊D₅	—	2	1	no	—
288	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
289	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
290	C₂×#685	—	2	1	no	—
291	#4072	—	2	1	no	—
292	#4072	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
294	#4070	C₂³	1	1	yes	characteristic
295	#4070	C₂³	1	1	yes	characteristic
296	#4070	C₂³	1	1	yes	characteristic
297	C₂×#683	—	2	1	no	—
298	C₂×#683	—	2	1	no	—
299	C₂×C₄×Dic₅	—	2	1	no	—
300	C₂×#681	C₂³	1	1	yes	characteristic
301	C₂×#681	C₂³	1	1	yes	characteristic
302	#4064	—	4	2	no	—
303	#4061	—	2	4	no	—
304	#4061	—	4	2	no	—
305	D₅×M₁₆	—	4	2	no	—
306	D₅×M₁₆	—	4	2	no	—
307	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
308	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
309	C₂×#677	C₂³	1	1	yes	characteristic
310	C₂×#676	C₂³	1	1	yes	characteristic
311	C₂×#676	C₂³	1	1	yes	characteristic
312	C₂×#676	C₂³	1	1	yes	characteristic
313	C₂×#676	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
315	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
317	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
318	#4044	—	2	1	no	—
319	#4044	—	2	1	no	—
320	#4044	—	2	1	no	—
321	#4043	C₂³	1	1	yes	characteristic
322	#4043	C₂³	1	1	yes	characteristic
323	#4043	C₂³	1	1	yes	characteristic
324	#4042	—	2	1	no	—
325	#4042	—	2	1	no	—
326	#4042	—	2	1	no	—
327	#4042	—	2	1	no	—
328	#4041	C₂³	1	1	yes	characteristic
329	#4040	—	2	1	no	—
330	#4040	—	2	1	no	—
331	#4040	—	2	1	no	—
332	#4039	—	2	1	no	—
333	#4039	D₄	1	1	yes	characteristic
334	#4038	—	2	1	no	—
335	#4038	—	2	1	no	—
336	#4038	C₂³	1	1	yes	characteristic
337	#4038	C₂³	1	1	yes	characteristic
338	#4038	C₂³	1	1	yes	characteristic
339	D₅×C₄⋊C₄	—	2	1	no	—
340	D₅×C₄⋊C₄	—	2	1	no	—
341	D₅×C₄⋊C₄	—	2	1	no	—
342	D₅×C₄⋊C₄	—	2	1	no	—
343	D₅×C₄⋊C₄	—	2	1	no	—
344	D₅×C₄⋊C₄	—	2	1	no	—
345	D₅×C₄⋊C₄	—	2	1	no	—
346	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
347	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
348	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
349	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
350	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
351	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
352	#4036	—	2	1	no	—
353	#4036	—	2	1	no	—
354	#4036	C₂³	1	1	yes	characteristic
355	#4036	C₂³	1	1	yes	characteristic
356	#4035	—	2	1	no	—
357	#4035	—	2	1	no	—
358	#4035	—	2	1	no	—
359	#4035	—	2	1	no	—
360	#4035	—	2	1	no	—
361	#4035	—	2	1	no	—
362	#4034	—	2	1	no	—
363	#4033	—	2	1	no	—
364	#4033	C₂³	1	1	yes	characteristic
365	#4033	C₂³	1	1	yes	characteristic
366	#4032	—	2	1	no	—
367	#4032	—	2	1	no	—
368	#4031	—	2	1	no	—
369	#4031	—	2	1	no	—
370	#4030	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4030	—	2	1	no	—
373	#4030	—	2	1	no	—
374	#4029	—	2	1	no	—
375	#4029	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4028	—	2	1	no	—
378	#4028	—	2	1	no	—
379	#4027	—	2	1	no	—
380	#4027	—	2	1	no	—
381	#4027	—	2	1	no	—
382	#4027	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	#4027	D₄	1	1	yes	characteristic
389	#4027	D₄	1	1	yes	characteristic
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	D₅×C₂²⋊C₄	—	2	1	no	—
393	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
394	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
395	#4025	—	2	1	no	—
396	#4025	—	2	1	no	—
397	#4025	—	2	1	no	—
398	#4024	—	2	1	no	—
399	#4024	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4024	—	2	1	no	—
402	#4023	—	2	1	no	—
403	#4023	—	2	1	no	—
404	#4023	—	2	1	no	—
405	#4023	—	2	1	no	—
406	#4022	—	2	1	no	—
407	#4021	C₂³	1	1	yes	characteristic
408	C₄×D₂₀	C₂³	1	1	yes	characteristic
409	#4018	—	2	1	no	—
410	#4018	—	2	1	no	—
411	#4018	—	2	1	no	—
412	C₄²×D₅	—	2	1	no	—
413	C₄²×D₅	—	2	1	no	—
414	C₄²×D₅	C₂³	1	1	yes	characteristic
415	#4016	—	2	1	no	—
416	#4016	C₂³	1	1	yes	characteristic
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₅×#107	C₂³	1	1	yes	characteristic
421	C₅×#106	C₂³	1	1	yes	characteristic
422	C₅×#106	C₂³	1	1	yes	characteristic
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#102	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3953	C₂³	1	1	yes	characteristic
452	#3952	C₂³	1	1	yes	characteristic
453	#3952	C₂³	1	1	yes	characteristic
454	#3952	C₂³	1	1	yes	characteristic
455	#3952	C₂³	1	1	yes	characteristic
456	#3950	C₂³	1	1	yes	characteristic
457	#3950	C₂³	1	1	yes	characteristic
458	#3949	C₂³	1	1	yes	characteristic
459	#3948	C₂³	1	1	yes	characteristic
460	#3948	C₂³	1	1	yes	characteristic
461	#3948	C₂³	1	1	yes	characteristic
462	#3948	C₂³	1	1	yes	characteristic
463	#3948	C₂³	1	1	yes	characteristic
464	#3948	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3947	C₂³	1	1	yes	characteristic
467	#3947	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	#3946	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3942	C₂³	1	1	yes	characteristic
474	#3942	C₂³	1	1	yes	characteristic
475	#3942	C₂³	1	1	yes	characteristic
476	#3942	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3940	C₂³	1	1	yes	characteristic
482	#3940	C₂³	1	1	yes	characteristic
483	#3939	C₂³	1	1	yes	characteristic
484	#3939	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	C₄⋊#168	C₂³	1	1	yes	characteristic
487	C₄×#168	C₂³	1	1	yes	characteristic
488	C₂×#552	—	5	1	no	—
489	D₄×#41	—	5	1	no	—
490	#3327	—	5	1	no	—
491	#3327	—	5	1	no	—
492	#3323	—	5	1	no	—
493	#3323	D₅	1	1	yes	characteristic, complemented
494	#3317	—	5	1	no	—
495	#3317	—	5	1	no	—
496	#3315	—	5	1	no	—
497	#3315	—	5	1	no	—
498	#3312	—	5	1	no	—
499	#3312	—	5	1	no	—
500	#3310	—	5	1	no	—
501	#3310	—	5	1	no	—
502	#3300	—	5	1	no	—
503	#3300	—	5	1	no	—
504	#3296	—	5	1	no	—
505	#3296	—	5	1	no	—
506	#3142	—	5	1	no	—
507	#3093	—	5	1	no	—
508	#3092	—	5	1	no	—
509	#3080	—	5	1	no	—
510	#3056	—	5	1	no	—
511	#3056	—	5	1	no	—
512	#3037	—	5	1	no	—
513	#3007	—	5	1	no	—
514	#3007	—	5	1	no	—
515	C₄×#137	—	5	1	no	—
516	D₄×M₁₆	—	5	1	no	—
517	#2896	—	5	1	no	—
518	C₂×#417	—	5	1	no	—
519	C₂⁴×C₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
522	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
523	C₅×#41	—	2	2	no	—
524	C₅×#41	—	4	1	no	—
525	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
526	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
527	C₂×C₅×D₄	—	2	2	no	—
528	C₂×C₅×D₄	—	2	1	no	—
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	4	1	no	—
532	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
533	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
534	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	—	2	1	no	—
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	4	4	no	—
551	C₂×C₂²⋊D₅	—	4	4	no	—
552	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
554	C₂²×Dic₅	—	2	1	no	—
555	C₂²×Dic₅	—	2	1	no	—
556	C₂²×Dic₅	—	2	1	no	—
557	C₂²×Dic₅	—	2	1	no	—
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	2	1	no	—
561	C₂²×Dic₅	—	4	4	no	—
562	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
563	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
564	#713	—	2	2	no	—
565	#713	—	2	2	no	—
566	Q₈×D₅	—	2	2	no	—
567	Q₈×D₅	—	2	2	no	—
568	Q₈×D₅	—	2	2	no	—
569	Q₈×D₅	—	4	1	no	—
570	#711	—	2	2	no	—
571	#711	—	2	2	no	—
572	#711	—	2	2	no	—
573	#711	—	2	2	no	—
574	#711	—	2	2	no	—
575	#711	—	4	1	no	—
576	#711	—	4	1	no	—
577	#711	—	4	4	no	—
578	#711	—	4	4	no	—
579	#711	—	4	4	no	—
580	#711	#41	1	4	yes	—
581	D₄×D₅	—	2	2	no	—
582	D₄×D₅	—	4	1	no	—
583	D₄×D₅	—	4	2	no	—
584	D₄×D₅	—	4	4	no	—
585	#709	—	2	2	no	—
586	#709	—	4	1	no	—
587	#709	—	4	4	no	—
588	C₂×D₂₀	—	2	1	no	—
589	C₂×D₂₀	—	2	1	no	—
590	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
591	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
592	C₂×C₄×D₅	—	2	2	no	—
593	C₂×C₄×D₅	—	2	2	no	—
594	C₂×C₄×D₅	—	2	2	no	—
595	C₂×C₄×D₅	—	2	2	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	—	4	4	no	—
606	C₂×C₄×D₅	—	4	4	no	—
607	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
608	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
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×Dic₁₀	—	2	2	no	—
617	C₂×Dic₁₀	—	2	1	no	—
618	C₂×Dic₁₀	—	2	1	no	—
619	C₂×Dic₁₀	—	2	1	no	—
620	C₂×Dic₁₀	—	4	1	no	—
621	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
622	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
623	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
624	C₅×Q₁₆	—	4	1	no	—
625	C₅×SD₁₆	—	2	2	no	—
626	C₅×SD₁₆	—	4	1	no	—
627	C₅×M₁₆	—	4	1	no	—
628	C₅×M₁₆	—	4	1	no	—
629	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
630	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
631	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
632	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
638	C₅×C₄⋊C₄	—	2	1	no	—
639	C₅×C₄⋊C₄	—	2	1	no	—
640	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₅×C₂²⋊C₄	—	2	1	no	—
646	C₅×C₂²⋊C₄	—	2	1	no	—
647	C₅×C₂²⋊C₄	—	2	1	no	—
648	C₅×C₂²⋊C₄	—	2	1	no	—
649	C₅×C₂²⋊C₄	—	2	1	no	—
650	C₅×C₂²⋊C₄	—	2	1	no	—
651	C₅×C₂²⋊C₄	—	2	1	no	—
652	C₅×C₂²⋊C₄	—	2	1	no	—
653	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₄²×C₅	—	2	1	no	—
656	C₄²×C₅	—	2	1	no	—
657	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
666	#689	—	2	2	no	—
667	#689	—	4	1	no	—
668	#689	—	4	1	no	—
669	#688	—	4	1	no	—
670	#687	—	2	2	no	—
671	#687	—	4	1	no	—
672	#685	—	2	1	no	—
673	#685	—	2	1	no	—
674	#685	—	2	1	no	—
675	#685	—	2	1	no	—
676	#685	—	2	1	no	—
677	#685	—	2	1	no	—
678	#685	—	2	1	no	—
679	#685	—	2	1	no	—
680	#685	—	2	1	no	—
681	#685	—	2	1	no	—
682	#685	—	2	1	no	—
683	#685	—	2	1	no	—
684	#685	—	2	1	no	—
685	#685	C₂×D₄	1	1	yes	characteristic
686	#685	C₂×D₄	1	1	yes	characteristic
687	#685	C₂×D₄	1	1	yes	characteristic
688	#685	C₂×D₄	1	1	yes	characteristic
689	C₄⋊Dic₅	—	2	1	no	—
690	C₄⋊Dic₅	—	2	1	no	—
691	C₄⋊Dic₅	—	2	1	no	—
692	C₄⋊Dic₅	—	2	1	no	—
693	C₄⋊Dic₅	—	2	1	no	—
694	C₄⋊Dic₅	—	2	1	no	—
695	C₄⋊Dic₅	—	2	1	no	—
696	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
698	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
699	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
700	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	—	2	1	no	—
705	#683	—	2	1	no	—
706	#683	—	2	1	no	—
707	#683	—	2	1	no	—
708	#683	—	2	1	no	—
709	#683	—	2	1	no	—
710	#683	—	2	1	no	—
711	#683	—	2	1	no	—
712	#683	—	2	1	no	—
713	#683	—	2	1	no	—
714	#683	—	2	1	no	—
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	C₂×D₄	1	1	yes	characteristic
723	#683	C₂×D₄	1	1	yes	characteristic
724	C₄×Dic₅	—	2	1	no	—
725	C₄×Dic₅	—	2	1	no	—
726	C₄×Dic₅	—	2	1	no	—
727	C₄×Dic₅	—	2	1	no	—
728	C₄×Dic₅	—	2	1	no	—
729	C₄×Dic₅	—	2	1	no	—
730	C₄×Dic₅	—	2	1	no	—
731	C₄×Dic₅	—	2	1	no	—
732	C₄×Dic₅	—	2	1	no	—
733	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
734	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
735	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
736	#681	—	4	1	no	—
737	#681	—	4	1	no	—
738	C₂×#168	C₂⁴	1	1	yes	characteristic
739	C₂×#168	C₂⁴	1	1	yes	characteristic
740	C₂×#168	C₂⁴	1	1	yes	characteristic
741	C₂×#168	C₂⁴	1	1	yes	characteristic
742	Dic₂₀	—	2	2	no	—
743	Dic₂₀	—	4	1	no	—
744	#677	—	4	1	no	—
745	#676	—	2	2	no	—
746	#676	—	2	2	no	—
747	#676	—	2	2	no	—
748	#676	—	2	2	no	—
749	C₈×D₅	—	4	1	no	—
750	C₈×D₅	—	4	1	no	—
751	C₈×D₅	—	4	1	no	—
752	C₈×D₅	—	4	1	no	—
753	C₂²×#41	—	5	1	no	—
754	C₂²×#41	—	5	1	no	—
755	C₂×#137	—	5	1	no	—
756	C₂×#137	—	5	1	no	—
757	C₂×#137	—	5	1	no	—
758	C₂²×M₁₆	—	5	1	no	—
759	C₂²×M₁₆	—	5	1	no	—
760	#552	—	5	1	no	—
761	#552	—	5	1	no	—
762	#552	—	5	1	no	—
763	#552	—	5	1	no	—
764	#552	—	5	1	no	—
765	#552	—	5	1	no	—
766	#552	—	5	1	no	—
767	#552	—	10	1	no	—
768	#552	—	10	1	no	—
769	#552	—	10	1	no	—
770	#552	—	10	1	no	—
771	#552	C₂×D₅	1	1	yes	characteristic, complemented
772	#550	—	5	1	no	—
773	D₄×Q₈	—	5	1	no	—
774	#548	—	5	1	no	—
775	#548	—	5	1	no	—
776	#547	—	5	1	no	—
777	#547	—	10	1	no	—
778	#546	—	5	1	no	—
779	#546	—	10	1	no	—
780	#546	—	10	1	no	—
781	#546	C₂×D₅	1	1	yes	characteristic
782	D₄²	—	5	1	no	—
783	D₄²	—	10	1	no	—
784	#532	—	5	1	no	—
785	#532	—	10	1	no	—
786	C₂×#126	—	10	1	no	—
787	C₂×#125	—	5	1	no	—
788	C₂×#125	—	10	1	no	—
789	#525	—	5	1	no	—
790	#525	—	5	1	no	—
791	#525	—	10	1	no	—
792	#525	—	10	1	no	—
793	C₂×#123	—	10	1	no	—
794	C₂×C₂²⋊Q₈	—	5	1	no	—
795	C₂×C₂²⋊Q₈	—	5	1	no	—
796	C₄×#41	—	5	1	no	—
797	C₂×C₄×Q₈	—	5	1	no	—
798	C₂×C₄×D₄	—	5	1	no	—
799	C₂×C₄×D₄	—	10	1	no	—
800	C₂×#117	—	5	1	no	—
801	C₂×#117	—	10	1	no	—
802	C₂²×C₄⋊C₄	—	5	1	no	—
803	#491	—	5	1	no	—
804	#491	—	5	1	no	—
805	#490	—	5	1	no	—
806	#490	—	5	1	no	—
807	#488	—	5	1	no	—
808	#488	—	5	1	no	—
809	#488	—	5	1	no	—
810	#488	C₂×D₅	1	1	yes	characteristic, complemented
811	#485	—	5	1	no	—
812	#485	—	5	1	no	—
813	#485	—	5	1	no	—
814	#485	C₂×D₅	1	1	yes	characteristic, complemented
815	#484	—	5	1	no	—
816	#484	—	5	1	no	—
817	#483	—	5	1	no	—
818	#483	—	5	1	no	—
819	#482	—	5	1	no	—
820	#482	—	5	1	no	—
821	#482	—	5	1	no	—
822	#482	—	5	1	no	—
823	#481	—	5	1	no	—
824	#481	C₂×D₅	1	1	yes	characteristic, complemented
825	#480	—	5	1	no	—
826	#480	—	5	1	no	—
827	#479	—	5	1	no	—
828	#479	—	5	1	no	—
829	#479	—	5	1	no	—
830	#479	—	5	1	no	—
831	#478	—	5	1	no	—
832	#478	—	5	1	no	—
833	#478	—	5	1	no	—
834	#478	C₂×D₅	1	1	yes	characteristic, complemented
835	#470	—	5	1	no	—
836	#470	—	5	1	no	—
837	#470	—	5	1	no	—
838	#470	C₂×D₅	1	1	yes	characteristic, complemented
839	#468	—	5	1	no	—
840	#468	—	5	1	no	—
841	#468	—	5	1	no	—
842	#468	C₂×D₅	1	1	yes	characteristic, complemented
843	#467	—	5	1	no	—
844	#467	—	5	1	no	—
845	#467	—	5	1	no	—
846	#467	—	5	1	no	—
847	#465	—	5	1	no	—
848	#465	—	5	1	no	—
849	#465	—	5	1	no	—
850	#465	—	5	1	no	—
851	#464	—	5	1	no	—
852	#464	—	5	1	no	—
853	#464	—	5	1	no	—
854	#464	C₂×D₅	1	1	yes	characteristic, complemented
855	#462	—	5	1	no	—
856	#462	—	5	1	no	—
857	#460	—	5	1	no	—
858	#460	—	5	1	no	—
859	#452	—	5	1	no	—
860	#452	—	5	1	no	—
861	#452	—	5	1	no	—
862	#452	—	5	1	no	—
863	#452	—	5	1	no	—
864	#452	—	5	1	no	—
865	#452	—	5	1	no	—
866	#452	C₂×D₅	1	1	yes	characteristic, complemented
867	#451	—	5	1	no	—
868	#451	—	5	1	no	—
869	#451	—	5	1	no	—
870	#451	—	5	1	no	—
871	#450	—	5	1	no	—
872	#450	—	5	1	no	—
873	#450	—	5	1	no	—
874	#450	C₂×D₅	1	1	yes	characteristic, complemented
875	#441	—	5	1	no	—
876	#441	—	5	1	no	—
877	#440	—	5	1	no	—
878	#440	—	5	1	no	—
879	C₄×Q₁₆	—	5	1	no	—
880	C₄×Q₁₆	—	5	1	no	—
881	C₄×SD₁₆	—	5	1	no	—
882	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
883	#436	—	5	1	no	—
884	#436	C₂×D₅	1	1	yes	characteristic, complemented
885	#435	—	5	1	no	—
886	#435	—	5	1	no	—
887	#435	—	5	1	no	—
888	#435	—	5	1	no	—
889	C₈×D₄	—	5	1	no	—
890	C₈×D₄	—	5	1	no	—
891	#428	—	5	1	no	—
892	#428	—	5	1	no	—
893	#428	—	5	1	no	—
894	#423	—	5	1	no	—
895	#419	—	5	1	no	—
896	#419	—	5	1	no	—
897	#419	—	5	1	no	—
898	#418	—	5	1	no	—
899	#418	C₂×D₅	1	1	yes	characteristic, complemented
900	#417	—	5	1	no	—
901	#417	—	5	1	no	—
902	#417	—	5	1	no	—
903	#417	—	5	1	no	—
904	#417	—	5	1	no	—
905	#417	—	5	1	no	—
906	#417	—	5	1	no	—
907	#417	—	5	1	no	—
908	#417	—	5	1	no	—
909	#417	—	5	1	no	—
910	#417	—	5	1	no	—
911	#417	—	5	1	no	—
912	#417	C₂×D₅	1	1	yes	characteristic, complemented
913	#416	—	5	1	no	—
914	#416	—	5	1	no	—
915	#416	—	5	1	no	—
916	#416	—	5	1	no	—
917	C₂×#103	—	5	1	no	—
918	C₂×#103	—	5	1	no	—
919	C₂×#102	—	5	1	no	—
920	C₂×#102	—	5	1	no	—
921	#407	—	5	1	no	—
922	#407	—	5	1	no	—
923	C₄×M₁₆	—	5	1	no	—
924	C₂³×C₅	—	2	1	no	—
925	C₂³×C₅	—	2	1	no	—
926	C₂³×C₅	—	4	2	no	—
927	C₂³×C₅	—	4	2	no	—
928	C₂³×C₅	—	8	1	no	—
929	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂²×D₅	—	2	2	no	—
932	C₂²×D₅	—	2	2	no	—
933	C₂²×D₅	—	2	2	no	—
934	C₂²×D₅	—	2	1	no	—
935	C₂²×D₅	—	4	1	no	—
936	C₂²×D₅	—	4	1	no	—
937	C₂²×D₅	—	4	1	no	—
938	C₂²×D₅	—	4	2	no	—
939	C₂²×D₅	—	4	2	no	—
940	C₂²×D₅	—	8	1	no	—
941	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
942	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
943	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
944	C₅×Q₈	—	2	1	no	—
945	C₅×Q₈	—	2	1	no	—
946	C₅×Q₈	—	2	1	no	—
947	C₅×Q₈	—	2	1	no	—
948	C₅×D₄	—	2	1	no	—
949	C₅×D₄	—	2	1	no	—
950	C₅×D₄	—	2	1	no	—
951	C₅×D₄	—	4	1	no	—
952	C₅×D₄	—	4	2	no	—
953	C₅×D₄	—	4	2	no	—
954	C₅×D₄	—	8	1	no	—
955	C₅×D₄	C₂×#41	1	2	yes	—
956	C₂×C₄×C₅	—	2	1	no	—
957	C₂×C₄×C₅	—	2	1	no	—
958	C₂×C₄×C₅	—	2	1	no	—
959	C₂×C₄×C₅	—	2	1	no	—
960	C₂×C₄×C₅	—	2	1	no	—
961	C₂×C₄×C₅	—	2	1	no	—
962	C₂×C₄×C₅	—	2	1	no	—
963	C₂×C₄×C₅	—	2	1	no	—
964	C₂×C₄×C₅	—	2	1	no	—
965	C₂×C₄×C₅	—	2	1	no	—
966	C₂×C₄×C₅	—	4	2	no	—
967	C₂×C₄×C₅	—	4	2	no	—
968	C₂×C₄×C₅	—	8	1	no	—
969	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
970	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
971	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
972	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
974	C₂²⋊D₅	—	2	4	no	—
975	C₂²⋊D₅	—	2	2	no	—
976	C₂²⋊D₅	—	4	1	no	—
977	C₂²⋊D₅	—	4	2	no	—
978	C₂²⋊D₅	—	4	2	no	—
979	C₂²⋊D₅	—	4	2	no	—
980	C₂²⋊D₅	—	4	2	no	—
981	C₂²⋊D₅	—	4	2	no	—
982	C₂²⋊D₅	—	4	2	no	—
983	C₂²⋊D₅	—	4	2	no	—
984	C₂²⋊D₅	—	4	2	no	—
985	C₂²⋊D₅	—	8	1	no	—
986	C₂×Dic₅	—	2	1	no	—
987	C₂×Dic₅	—	2	2	no	—
988	C₂×Dic₅	—	2	2	no	—
989	C₂×Dic₅	—	2	4	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	—	4	2	no	—
1000	C₂×Dic₅	—	4	2	no	—
1001	C₂×Dic₅	—	4	2	no	—
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	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1007	D₂₀	—	2	2	no	—
1008	D₂₀	—	2	1	no	—
1009	D₂₀	—	2	1	no	—
1010	D₂₀	—	4	2	no	—
1011	D₂₀	—	8	1	no	—
1012	C₄×D₅	—	2	2	no	—
1013	C₄×D₅	—	2	2	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	2	no	—
1019	C₄×D₅	—	2	2	no	—
1020	C₄×D₅	—	4	1	no	—
1021	C₄×D₅	—	4	1	no	—
1022	C₄×D₅	—	4	2	no	—
1023	C₄×D₅	—	4	2	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	C₂×#41	1	2	yes	—
1032	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
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	C₂×#41	1	2	yes	—
1042	C₅×C₈	—	2	1	no	—
1043	C₅×C₈	—	2	1	no	—
1044	C₅×C₈	—	2	1	no	—
1045	C₅×C₈	—	2	1	no	—
1046	#168	—	2	1	no	—
1047	#168	—	2	1	no	—
1048	#168	—	2	1	no	—
1049	#168	—	2	1	no	—
1050	C₂×#41	—	5	1	no	—
1051	C₂×#41	—	5	1	no	—
1052	C₂×#41	—	5	1	no	—
1053	C₂×#41	—	5	1	no	—
1054	C₂×#41	—	5	1	no	—
1055	C₂×#41	—	5	1	no	—
1056	C₂×#41	—	10	1	no	—
1057	C₂×#41	—	10	1	no	—
1058	C₂×#41	—	10	1	no	—
1059	C₂×#41	—	10	1	no	—
1060	C₂×#41	—	10	4	no	—
1061	C₂×#41	—	10	4	no	—
1062	C₂×#41	—	20	2	no	—
1063	C₂×#41	—	20	2	no	—
1064	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1065	C₂²×Q₈	—	5	1	no	—
1066	C₂²×Q₈	—	5	1	no	—
1067	C₂²×Q₈	—	5	1	no	—
1068	C₂²×D₄	—	5	1	no	—
1069	C₂²×D₄	—	5	1	no	—
1070	C₂²×D₄	—	10	1	no	—
1071	C₂²×D₄	—	10	1	no	—
1072	C₂²×D₄	—	10	1	no	—
1073	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1074	C₂³×C₄	—	5	1	no	—
1075	C₂³×C₄	—	5	1	no	—
1076	C₂³×C₄	—	10	1	no	—
1077	C₂³×C₄	—	10	1	no	—
1078	C₂³×C₄	—	10	1	no	—
1079	#137	—	10	4	no	—
1080	#137	—	20	2	no	—
1081	#137	—	20	2	no	—
1082	C₂×Q₁₆	—	5	1	no	—
1083	C₂×Q₁₆	—	5	1	no	—
1084	C₂×Q₁₆	—	5	1	no	—
1085	C₂×Q₁₆	—	5	1	no	—
1086	C₂×Q₁₆	—	5	1	no	—
1087	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1088	C₂×SD₁₆	—	5	1	no	—
1089	C₂×SD₁₆	—	5	1	no	—
1090	C₂×SD₁₆	—	5	1	no	—
1091	C₂×SD₁₆	—	5	1	no	—
1092	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1094	C₂×M₁₆	—	5	1	no	—
1095	C₂×M₁₆	—	5	1	no	—
1096	C₂×M₁₆	—	5	1	no	—
1097	C₂×M₁₆	—	5	1	no	—
1098	C₂×M₁₆	—	5	1	no	—
1099	C₂×M₁₆	—	5	1	no	—
1100	C₂×M₁₆	—	20	2	no	—
1101	C₂×M₁₆	—	20	2	no	—
1102	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1103	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1104	C₂²×C₈	—	5	1	no	—
1105	C₂²×C₈	—	5	1	no	—
1106	C₂²×C₈	—	5	1	no	—
1107	C₂²×C₈	—	5	1	no	—
1108	C₄⋊Q₈	—	5	1	no	—
1109	C₄⋊Q₈	—	10	1	no	—
1110	#127	—	5	1	no	—
1111	#127	—	10	1	no	—
1112	#126	—	2	1	no	—
1113	#126	—	10	1	no	—
1114	#126	—	10	1	no	—
1115	#126	—	10	1	no	—
1116	#126	—	10	1	no	—
1117	#126	—	10	1	no	—
1118	#126	—	10	1	no	—
1119	#126	—	10	1	no	—
1120	#125	—	2	1	no	—
1121	#125	—	5	1	no	—
1122	#125	—	5	1	no	—
1123	#125	—	5	1	no	—
1124	#125	—	10	1	no	—
1125	#125	—	10	1	no	—
1126	#125	—	10	1	no	—
1127	#125	—	10	1	no	—
1128	#125	—	10	1	no	—
1129	#125	—	10	1	no	—
1130	#125	—	10	1	no	—
1131	#125	—	10	1	no	—
1132	#125	—	10	1	no	—
1133	#125	C₂²×D₅	1	1	yes	characteristic
1134	#124	—	5	1	no	—
1135	#124	—	10	1	no	—
1136	#124	—	10	1	no	—
1137	#124	C₂²×D₅	1	1	yes	characteristic
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	10	1	no	—
1141	#123	—	10	1	no	—
1142	#123	—	10	1	no	—
1143	#123	—	10	1	no	—
1144	#123	—	10	1	no	—
1145	#123	—	10	1	no	—
1146	#123	—	10	1	no	—
1147	#123	—	10	1	no	—
1148	#123	—	10	1	no	—
1149	#123	—	10	1	no	—
1150	#123	—	10	1	no	—
1151	#123	—	10	1	no	—
1152	C₂²⋊Q₈	—	5	1	no	—
1153	C₂²⋊Q₈	—	5	1	no	—
1154	C₂²⋊Q₈	—	5	1	no	—
1155	C₂²⋊Q₈	—	5	1	no	—
1156	C₂²⋊Q₈	—	5	1	no	—
1157	C₂²⋊Q₈	—	5	1	no	—
1158	C₂²⋊Q₈	—	5	1	no	—
1159	C₂²⋊Q₈	—	5	1	no	—
1160	C₂²⋊Q₈	—	5	1	no	—
1161	C₂²⋊Q₈	—	10	1	no	—
1162	C₂²⋊Q₈	—	10	1	no	—
1163	C₂²⋊Q₈	—	10	1	no	—
1164	C₂²⋊Q₈	—	10	1	no	—
1165	C₂²⋊Q₈	—	10	1	no	—
1166	C₂²⋊Q₈	—	10	1	no	—
1167	C₂²⋊Q₈	—	10	1	no	—
1168	C₂²⋊Q₈	—	10	1	no	—
1169	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1170	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1171	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1172	#121	—	2	1	no	—
1173	#121	—	5	1	no	—
1174	#121	—	5	1	no	—
1175	#121	—	5	1	no	—
1176	#121	—	10	1	no	—
1177	#121	—	10	1	no	—
1178	#121	—	10	1	no	—
1179	#121	—	10	1	no	—
1180	#121	—	10	1	no	—
1181	#121	—	10	1	no	—
1182	#121	—	10	1	no	—
1183	#121	—	10	1	no	—
1184	#121	—	10	1	no	—
1185	#121	C₂²×D₅	1	1	yes	characteristic
1186	#120	—	2	1	no	—
1187	#120	—	10	1	no	—
1188	#120	—	10	1	no	—
1189	#120	—	10	1	no	—
1190	#120	—	10	1	no	—
1191	#120	—	10	1	no	—
1192	C₄×Q₈	—	5	1	no	—
1193	C₄×Q₈	—	5	1	no	—
1194	C₄×Q₈	—	5	1	no	—
1195	C₄×Q₈	—	5	1	no	—
1196	C₄×Q₈	—	5	1	no	—
1197	C₄×Q₈	—	10	1	no	—
1198	C₄×Q₈	—	10	1	no	—
1199	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1200	C₄×D₄	—	5	1	no	—
1201	C₄×D₄	—	5	1	no	—
1202	C₄×D₄	—	5	1	no	—
1203	C₄×D₄	—	5	1	no	—
1204	C₄×D₄	—	5	1	no	—
1205	C₄×D₄	—	5	1	no	—
1206	C₄×D₄	—	5	1	no	—
1207	C₄×D₄	—	5	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	—	10	1	no	—
1210	C₄×D₄	—	10	1	no	—
1211	C₄×D₄	—	10	1	no	—
1212	C₄×D₄	—	10	1	no	—
1213	C₄×D₄	—	10	1	no	—
1214	C₄×D₄	—	10	1	no	—
1215	C₄×D₄	—	10	1	no	—
1216	C₄×D₄	—	10	1	no	—
1217	C₄×D₄	—	10	1	no	—
1218	C₄×D₄	—	10	1	no	—
1219	C₄×D₄	—	10	1	no	—
1220	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1221	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1222	#117	—	2	1	no	—
1223	#117	—	5	1	no	—
1224	#117	—	5	1	no	—
1225	#117	—	5	1	no	—
1226	#117	—	5	1	no	—
1227	#117	—	10	1	no	—
1228	#117	—	10	1	no	—
1229	#117	—	10	1	no	—
1230	#117	—	10	1	no	—
1231	#117	—	10	1	no	—
1232	#117	—	10	1	no	—
1233	#117	—	10	1	no	—
1234	#117	—	10	1	no	—
1235	#117	—	10	1	no	—
1236	#117	—	10	1	no	—
1237	#117	C₂²×D₅	1	1	yes	characteristic
1238	C₂×C₄⋊C₄	—	5	1	no	—
1239	C₂×C₄⋊C₄	—	5	1	no	—
1240	C₂×C₄⋊C₄	—	5	1	no	—
1241	C₂×C₄⋊C₄	—	5	1	no	—
1242	C₂×C₄⋊C₄	—	5	1	no	—
1243	C₂×C₄⋊C₄	—	5	1	no	—
1244	C₂×C₄⋊C₄	—	5	1	no	—
1245	C₂×C₄⋊C₄	—	10	1	no	—
1246	C₂×C₄⋊C₄	—	10	1	no	—
1247	C₂×C₄⋊C₄	—	10	1	no	—
1248	C₂×C₄⋊C₄	—	10	1	no	—
1249	C₂×C₄⋊C₄	—	10	1	no	—
1250	C₂×C₄⋊C₄	—	10	1	no	—
1251	C₂×C₄⋊C₄	—	10	1	no	—
1252	C₂×C₄⋊C₄	—	10	1	no	—
1253	C₂×C₄⋊C₄	—	10	1	no	—
1254	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1255	C₂×C₂²⋊C₄	—	2	1	no	—
1256	C₂×C₂²⋊C₄	—	5	1	no	—
1257	C₂×C₂²⋊C₄	—	5	1	no	—
1258	C₂×C₂²⋊C₄	—	10	1	no	—
1259	C₂×C₂²⋊C₄	—	10	1	no	—
1260	C₂×C₂²⋊C₄	—	10	1	no	—
1261	C₂×C₂²⋊C₄	—	10	1	no	—
1262	C₂×C₄²	—	5	1	no	—
1263	C₂×C₄²	—	10	1	no	—
1264	C₂×C₄²	—	10	1	no	—
1265	C₂×C₄²	—	10	1	no	—
1266	#107	—	5	1	no	—
1267	#107	—	5	1	no	—
1268	#107	—	5	1	no	—
1269	#107	—	5	1	no	—
1270	#107	—	5	1	no	—
1271	#107	C₂²×D₅	1	1	yes	characteristic
1272	#106	—	5	1	no	—
1273	#106	—	5	1	no	—
1274	#106	—	5	1	no	—
1275	#106	—	5	1	no	—
1276	#106	C₂²×D₅	1	1	yes	characteristic
1277	#106	C₂²×D₅	1	1	yes	characteristic
1278	C₄⋊C₈	—	5	1	no	—
1279	C₄⋊C₈	—	5	1	no	—
1280	C₄⋊C₈	—	5	1	no	—
1281	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1282	#103	—	5	1	no	—
1283	#103	—	5	1	no	—
1284	#103	—	5	1	no	—
1285	#103	—	5	1	no	—
1286	#103	—	5	1	no	—
1287	#103	—	5	1	no	—
1288	#103	—	5	1	no	—
1289	#103	—	5	1	no	—
1290	#103	—	5	1	no	—
1291	#103	—	5	1	no	—
1292	#103	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1301	#103	C₂²×D₅	1	1	yes	characteristic
1302	#103	C₂²×D₅	1	1	yes	characteristic
1303	#103	C₂²×D₅	1	1	yes	characteristic
1304	#102	—	5	1	no	—
1305	#102	—	5	1	no	—
1306	#102	—	5	1	no	—
1307	#102	—	5	1	no	—
1308	#102	—	5	1	no	—
1309	#102	—	5	1	no	—
1310	#102	—	5	1	no	—
1311	#102	—	5	1	no	—
1312	#102	—	5	1	no	—
1313	#102	—	5	1	no	—
1314	#102	—	5	1	no	—
1315	#102	—	5	1	no	—
1316	#102	C₂²×D₅	1	1	yes	characteristic
1317	#102	C₂²×D₅	1	1	yes	characteristic
1318	#102	C₂²×D₅	1	1	yes	characteristic
1319	#102	C₂²×D₅	1	1	yes	characteristic
1320	#102	C₂²×D₅	1	1	yes	characteristic
1321	#102	C₂²×D₅	1	1	yes	characteristic
1322	C₂²⋊C₈	—	5	1	no	—
1323	C₂²⋊C₈	—	5	1	no	—
1324	C₂²⋊C₈	—	5	1	no	—
1325	C₂²⋊C₈	—	5	1	no	—
1326	C₂²⋊C₈	—	5	1	no	—
1327	C₂²⋊C₈	—	5	1	no	—
1328	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1329	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1330	#97	—	5	1	no	—
1331	#97	—	5	1	no	—
1332	C₄×C₈	—	5	1	no	—
1333	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1334	C₂²×C₅	—	2	1	no	—
1335	C₂²×C₅	—	2	1	no	—
1336	C₂²×C₅	—	2	1	no	—
1337	C₂²×C₅	—	2	2	no	—
1338	C₂²×C₅	—	2	1	no	—
1339	C₂²×C₅	—	2	1	no	—
1340	C₂²×C₅	—	2	1	no	—
1341	C₂²×C₅	—	4	1	no	—
1342	C₂²×C₅	—	4	1	no	—
1343	C₂²×C₅	—	4	1	no	—
1344	C₂²×C₅	—	4	1	no	—
1345	C₂²×C₅	—	4	1	no	—
1346	C₂²×C₅	—	8	4	no	—
1347	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1348	C₂×D₅	—	2	1	no	—
1349	C₂×D₅	—	2	1	no	—
1350	C₂×D₅	—	2	1	no	—
1351	C₂×D₅	—	2	1	no	—
1352	C₂×D₅	—	2	1	no	—
1353	C₂×D₅	—	2	1	no	—
1354	C₂×D₅	—	2	1	no	—
1355	C₂×D₅	—	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	2	no	—
1360	C₂×D₅	—	8	4	no	—
1361	C₂×D₅	#546	1	2	yes	—
1362	C₂×D₅	#575	1	2	yes	—
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	C₂²×#41	1	1	yes	characteristic
1374	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1375	Dic₅	—	2	1	no	—
1376	Dic₅	—	2	2	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	#546	1	2	yes	—
1387	C₂⁴	—	2	1	no	—
1388	C₂⁴	—	5	1	no	—
1389	C₂⁴	—	5	1	no	—
1390	C₂⁴	—	10	1	no	—
1391	#41	—	2	2	no	—
1392	#41	—	4	1	no	—
1393	#41	—	5	4	no	—
1394	#41	—	10	2	no	—
1395	#41	—	10	2	no	—
1396	#41	—	10	2	no	—
1397	#41	—	10	2	no	—
1398	#41	—	10	2	no	—
1399	#41	—	10	2	no	—
1400	#41	—	10	2	no	—
1401	#41	—	10	2	no	—
1402	#41	—	20	1	no	—
1403	#41	—	20	4	no	—
1404	#41	—	20	4	no	—
1405	#41	—	20	4	no	—
1406	#41	—	20	1	no	—
1407	#41	—	20	1	no	—
1408	#41	—	20	4	no	—
1409	C₂×Q₈	—	5	1	no	—
1410	C₂×Q₈	—	5	1	no	—
1411	C₂×Q₈	—	5	1	no	—
1412	C₂×Q₈	—	10	1	no	—
1413	C₂×Q₈	—	10	1	no	—
1414	C₂×Q₈	—	10	2	no	—
1415	C₂×Q₈	—	10	2	no	—
1416	C₂×Q₈	—	10	2	no	—
1417	C₂×Q₈	—	10	1	no	—
1418	C₂×Q₈	—	10	2	no	—
1419	C₂×Q₈	—	20	1	no	—
1420	C₂×Q₈	—	20	1	no	—
1421	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1422	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1423	C₂×D₄	—	2	2	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	4	1	no	—
1428	C₂×D₄	—	5	1	no	—
1429	C₂×D₄	—	5	1	no	—
1430	C₂×D₄	—	5	1	no	—
1431	C₂×D₄	—	5	1	no	—
1432	C₂×D₄	—	10	1	no	—
1433	C₂×D₄	—	10	1	no	—
1434	C₂×D₄	—	10	1	no	—
1435	C₂×D₄	—	10	1	no	—
1436	C₂×D₄	—	10	1	no	—
1437	C₂×D₄	—	10	1	no	—
1438	C₂×D₄	—	10	2	no	—
1439	C₂×D₄	—	10	1	no	—
1440	C₂×D₄	—	10	1	no	—
1441	C₂×D₄	—	10	1	no	—
1442	C₂×D₄	—	10	1	no	—
1443	C₂×D₄	—	10	1	no	—
1444	C₂×D₄	—	10	1	no	—
1445	C₂×D₄	—	20	1	no	—
1446	C₂×D₄	—	20	2	no	—
1447	C₂×D₄	—	20	4	no	—
1448	C₂×D₄	—	20	4	no	—
1449	C₂×D₄	—	20	4	no	—
1450	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1451	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1452	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1453	C₂²×C₄	—	2	1	no	—
1454	C₂²×C₄	—	2	1	no	—
1455	C₂²×C₄	—	2	1	no	—
1456	C₂²×C₄	—	5	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	—	5	1	no	—
1467	C₂²×C₄	—	10	2	no	—
1468	C₂²×C₄	—	10	2	no	—
1469	C₂²×C₄	—	10	2	no	—
1470	C₂²×C₄	—	10	2	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	—	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	—	20	4	no	—
1488	C₂²×C₄	—	20	4	no	—
1489	C₂²×C₄	—	20	4	no	—
1490	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1491	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1492	Q₁₆	—	4	1	no	—
1493	Q₁₆	—	10	2	no	—
1494	Q₁₆	—	10	2	no	—
1495	Q₁₆	—	20	1	no	—
1496	Q₁₆	—	20	1	no	—
1497	Q₁₆	—	20	1	no	—
1498	SD₁₆	—	2	2	no	—
1499	SD₁₆	—	4	1	no	—
1500	SD₁₆	—	10	2	no	—
1501	SD₁₆	—	20	1	no	—
1502	SD₁₆	—	20	1	no	—
1503	SD₁₆	—	20	1	no	—
1504	M₁₆	—	4	1	no	—
1505	M₁₆	—	4	1	no	—
1506	M₁₆	—	10	2	no	—
1507	M₁₆	—	10	2	no	—
1508	M₁₆	—	10	2	no	—
1509	M₁₆	—	10	2	no	—
1510	M₁₆	—	20	1	no	—
1511	M₁₆	—	20	1	no	—
1512	C₂×C₈	—	5	1	no	—
1513	C₂×C₈	—	5	1	no	—
1514	C₂×C₈	—	5	1	no	—
1515	C₂×C₈	—	5	1	no	—
1516	C₂×C₈	—	20	1	no	—
1517	C₂×C₈	—	20	1	no	—
1518	C₂×C₈	—	20	1	no	—
1519	C₂×C₈	—	20	1	no	—
1520	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1521	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1522	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1523	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	—	2	1	no	—
1530	C₄⋊C₄	—	2	1	no	—
1531	C₄⋊C₄	—	5	1	no	—
1532	C₄⋊C₄	—	5	1	no	—
1533	C₄⋊C₄	—	5	1	no	—
1534	C₄⋊C₄	—	5	1	no	—
1535	C₄⋊C₄	—	5	1	no	—
1536	C₄⋊C₄	—	5	1	no	—
1537	C₄⋊C₄	—	5	1	no	—
1538	C₄⋊C₄	—	10	1	no	—
1539	C₄⋊C₄	—	10	1	no	—
1540	C₄⋊C₄	—	10	1	no	—
1541	C₄⋊C₄	—	10	1	no	—
1542	C₄⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1567	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1568	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1569	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1570	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	5	1	no	—
1580	C₂²⋊C₄	—	5	1	no	—
1581	C₂²⋊C₄	—	5	1	no	—
1582	C₂²⋊C₄	—	5	1	no	—
1583	C₂²⋊C₄	—	5	1	no	—
1584	C₂²⋊C₄	—	5	1	no	—
1585	C₂²⋊C₄	—	10	1	no	—
1586	C₂²⋊C₄	—	10	1	no	—
1587	C₂²⋊C₄	—	10	1	no	—
1588	C₂²⋊C₄	—	10	1	no	—
1589	C₂²⋊C₄	—	10	1	no	—
1590	C₂²⋊C₄	—	10	1	no	—
1591	C₂²⋊C₄	—	10	1	no	—
1592	C₂²⋊C₄	—	10	1	no	—
1593	C₂²⋊C₄	—	10	1	no	—
1594	C₂²⋊C₄	—	10	1	no	—
1595	C₂²⋊C₄	—	10	1	no	—
1596	C₂²⋊C₄	—	10	1	no	—
1597	C₂²⋊C₄	—	10	1	no	—
1598	C₂²⋊C₄	—	10	1	no	—
1599	C₂²⋊C₄	—	10	1	no	—
1600	C₂²⋊C₄	—	10	1	no	—
1601	C₂²⋊C₄	—	10	1	no	—
1602	C₂²⋊C₄	—	10	1	no	—
1603	C₂²⋊C₄	—	10	1	no	—
1604	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1605	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1606	C₄²	—	2	1	no	—
1607	C₄²	—	2	1	no	—
1608	C₄²	—	5	1	no	—
1609	C₄²	—	5	1	no	—
1610	C₄²	—	5	1	no	—
1611	C₄²	—	10	1	no	—
1612	C₄²	—	10	1	no	—
1613	C₄²	—	10	1	no	—
1614	C₄²	—	10	1	no	—
1615	C₄²	—	10	1	no	—
1616	C₄²	—	10	1	no	—
1617	C₄²	—	10	1	no	—
1618	C₄²	—	10	1	no	—
1619	C₄²	—	10	1	no	—
1620	C₄²	C₂³×D₅	1	1	yes	characteristic
1621	C₂×C₅	—	4	1	no	—
1622	C₂×C₅	—	4	1	no	—
1623	C₂×C₅	—	4	2	no	—
1624	C₂×C₅	—	8	1	no	—
1625	C₂×C₅	C₂×#546	1	1	yes	characteristic
1626	C₂×C₅	C₂×#575	1	1	yes	characteristic
1627	C₂×C₅	#3586	1	1	yes	characteristic
1628	D₅	—	2	2	no	—
1629	D₅	—	2	2	no	—
1630	D₅	—	4	1	no	—
1631	D₅	—	8	1	no	—
1632	C₂³	—	2	1	no	—
1633	C₂³	—	2	1	no	—
1634	C₂³	—	4	2	no	—
1635	C₂³	—	4	2	no	—
1636	C₂³	—	5	1	no	—
1637	C₂³	—	5	1	no	—
1638	C₂³	—	5	1	no	—
1639	C₂³	—	8	1	no	—
1640	C₂³	—	10	2	no	—
1641	C₂³	—	10	2	no	—
1642	C₂³	—	10	2	no	—
1643	C₂³	—	10	1	no	—
1644	C₂³	—	20	1	no	—
1645	C₂³	—	20	1	no	—
1646	C₂³	—	20	1	no	—
1647	C₂³	—	20	2	no	—
1648	C₂³	—	20	2	no	—
1649	C₂³	—	40	1	no	—
1650	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1651	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1652	Q₈	—	2	1	no	—
1653	Q₈	—	2	1	no	—
1654	Q₈	—	2	1	no	—
1655	Q₈	—	2	1	no	—
1656	Q₈	—	5	2	no	—
1657	Q₈	—	10	1	no	—
1658	Q₈	—	10	1	no	—
1659	Q₈	—	10	1	no	—
1660	Q₈	—	10	1	no	—
1661	Q₈	—	10	1	no	—
1662	Q₈	—	20	2	no	—
1663	Q₈	—	20	2	no	—
1664	Q₈	—	20	2	no	—
1665	D₄	—	2	1	no	—
1666	D₄	—	2	1	no	—
1667	D₄	—	2	1	no	—
1668	D₄	—	4	1	no	—
1669	D₄	—	4	2	no	—
1670	D₄	—	4	2	no	—
1671	D₄	—	8	1	no	—
1672	D₄	—	10	2	no	—
1673	D₄	—	10	2	no	—
1674	D₄	—	10	4	no	—
1675	D₄	—	10	1	no	—
1676	D₄	—	10	1	no	—
1677	D₄	—	20	2	no	—
1678	D₄	—	20	1	no	—
1679	D₄	—	20	2	no	—
1680	D₄	—	20	2	no	—
1681	D₄	—	20	2	no	—
1682	D₄	—	20	2	no	—
1683	D₄	—	20	2	no	—
1684	D₄	—	20	2	no	—
1685	D₄	—	20	2	no	—
1686	D₄	—	20	2	no	—
1687	D₄	—	40	1	no	—
1688	D₄	—	40	1	no	—
1689	D₄	D₅×#41	1	2	yes	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	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	—	4	2	no	—
1701	C₂×C₄	—	4	2	no	—
1702	C₂×C₄	—	5	1	no	—
1703	C₂×C₄	—	5	2	no	—
1704	C₂×C₄	—	5	2	no	—
1705	C₂×C₄	—	5	1	no	—
1706	C₂×C₄	—	5	1	no	—
1707	C₂×C₄	—	5	1	no	—
1708	C₂×C₄	—	5	1	no	—
1709	C₂×C₄	—	8	1	no	—
1710	C₂×C₄	—	10	2	no	—
1711	C₂×C₄	—	10	2	no	—
1712	C₂×C₄	—	10	2	no	—
1713	C₂×C₄	—	10	2	no	—
1714	C₂×C₄	—	10	2	no	—
1715	C₂×C₄	—	10	2	no	—
1716	C₂×C₄	—	10	4	no	—
1717	C₂×C₄	—	10	1	no	—
1718	C₂×C₄	—	10	1	no	—
1719	C₂×C₄	—	10	1	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	—	20	1	no	—
1729	C₂×C₄	—	20	1	no	—
1730	C₂×C₄	—	20	2	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	—	20	2	no	—
1743	C₂×C₄	—	20	2	no	—
1744	C₂×C₄	—	20	2	no	—
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	#61163	1	1	yes	characteristic, complemented, Sylow
1759	C₂²	—	2	1	no	—
1760	C₂²	—	2	1	no	—
1761	C₂²	—	2	2	no	—
1762	C₂²	—	2	1	no	—
1763	C₂²	—	2	1	no	—
1764	C₂²	—	2	1	no	—
1765	C₂²	—	2	1	no	—
1766	C₂²	—	4	1	no	—
1767	C₂²	—	4	1	no	—
1768	C₂²	—	4	1	no	—
1769	C₂²	—	4	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	5	2	no	—
1772	C₂²	—	5	2	no	—
1773	C₂²	—	8	4	no	—
1774	C₂²	—	10	1	no	—
1775	C₂²	—	10	1	no	—
1776	C₂²	—	10	1	no	—
1777	C₂²	—	10	1	no	—
1778	C₂²	—	10	1	no	—
1779	C₂²	—	10	1	no	—
1780	C₂²	—	10	1	no	—
1781	C₂²	—	20	4	no	—
1782	C₂²	—	20	1	no	—
1783	C₂²	—	20	1	no	—
1784	C₂²	—	20	1	no	—
1785	C₂²	—	40	2	no	—
1786	C₂²	—	40	4	no	—
1787	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1788	C₄	—	2	1	no	—
1789	C₄	—	2	1	no	—
1790	C₄	—	2	1	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	4	1	no	—
1793	C₄	—	4	1	no	—
1794	C₄	—	4	1	no	—
1795	C₄	—	4	1	no	—
1796	C₄	—	4	1	no	—
1797	C₄	—	4	1	no	—
1798	C₄	—	5	2	no	—
1799	C₄	—	10	1	no	—
1800	C₄	—	10	1	no	—
1801	C₄	—	10	2	no	—
1802	C₄	—	10	1	no	—
1803	C₄	—	10	1	no	—
1804	C₄	—	20	1	no	—
1805	C₄	—	20	1	no	—
1806	C₄	—	20	1	no	—
1807	C₄	—	20	1	no	—
1808	C₄	—	20	1	no	—
1809	C₄	—	20	1	no	—
1810	C₄	C₂×D₅×#41	1	1	yes	characteristic
1811	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1812	C₂	—	4	1	no	—
1813	C₂	—	4	1	no	—
1814	C₂	—	4	2	no	—
1815	C₂	—	8	1	no	—
1816	C₂	—	10	2	no	—
1817	C₂	—	10	2	no	—
1818	C₂	—	20	1	no	—
1819	C₂	—	40	1	no	—
1820	C₂	D₅×#546	1	1	yes	characteristic
1821	C₂	D₅×#575	1	1	yes	characteristic
1822	C₂	#10619109	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×#3323	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618527	C₂
hypercenter	#3323	D₅
hypocenter	C₅	#61163
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3323

Complements

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

N	H ≅ G/N	type
1. D₅×#552	C₂	semidirect
3. C₅×#3323	C₂	semidirect
4. #10615336	C₂	semidirect
5. #10615232	C₂	semidirect
6. #10613385	C₂	semidirect
7. #10613372	C₂	semidirect
8. #10613258	C₂	semidirect
9. #10613247	C₂	semidirect
10. #10613063	C₂	semidirect
11. #10613056	C₂	semidirect
12. #10612917	C₂	semidirect
13. #10612898	C₂	semidirect
14. #10612646	C₂	semidirect
15. #10612635	C₂	semidirect
16. #10612555	C₂	semidirect
17. #10612537	C₂	semidirect
18. #10612347	C₂	semidirect
19. #10612329	C₂	semidirect
20. #10611985	C₂	semidirect
21. #10611959	C₂	semidirect
22. #10611892	C₂	semidirect
23. #10611878	C₂	semidirect
24. #10611408	C₂	semidirect
25. C₄×#4061	C₂	semidirect
26. #10611293	C₂	semidirect
27. #10611271	C₂	semidirect
28. #10610665	C₂	semidirect
29. #10610655	C₂	semidirect
30. #10610630	C₂	semidirect
31. D₅×#417	C₂	semidirect
34. C₅×#552	C₂²	semidirect
38. C₂×#4064	C₂²	semidirect
40. C₂×#4061	C₂²	semidirect
41. C₂×D₅×M₁₆	C₂²	semidirect
42. C₂×D₅×M₁₆	C₂²	semidirect
45. #66028	C₂²	semidirect
48. D₅×#125	C₂²	semidirect
55. #65976	C₂²	semidirect
59. D₅×C₂²⋊Q₈	C₂²	semidirect
60. D₅×C₂²⋊Q₈	C₂²	semidirect
67. #65915	C₂²	semidirect
68. C₄×Q₈×D₅	C₂²	semidirect
72. #65875	C₂²	semidirect
77. D₅×#117	C₂²	semidirect
78. #65847	C₂²	semidirect
79. C₂×D₅×C₄⋊C₄	C₂²	semidirect
82. C₅×#488	C₂²	semidirect
83. C₅×#485	C₂²	semidirect
84. C₅×#481	C₂²	semidirect
85. C₅×#478	C₂²	semidirect
86. C₅×#470	C₂²	semidirect
87. C₅×#468	C₂²	semidirect
88. C₅×#464	C₂²	semidirect
89. C₅×#452	C₂²	semidirect
90. C₅×#450	C₂²	semidirect
91. C₄×C₅×SD₁₆	C₂²	semidirect
92. C₅×#436	C₂²	semidirect
93. C₅×#418	C₂²	semidirect
94. C₅×#417	C₂²	semidirect
95. #65528	C₂²	semidirect
96. #65521	C₂²	semidirect
97. #65507	C₂²	semidirect
98. #65504	C₂²	semidirect
99. #65477	C₂²	semidirect
100. #65475	C₂²	semidirect
101. #65471	C₂²	semidirect
102. #65462	C₂²	semidirect
103. #65462	C₂²	semidirect
104. #65460	C₂²	semidirect
105. #65458	C₂²	semidirect
106. #65453	C₂²	semidirect
107. #65452	C₂²	semidirect
108. #65426	C₂²	semidirect
109. #65423	C₂²	semidirect
110. #65422	C₂²	semidirect
112. #65416	C₂²	semidirect
113. #65409	C₂²	semidirect
114. #65357	C₂²	semidirect
115. #65352	C₂²	semidirect
116. #65345	C₂²	semidirect
117. #65343	C₂²	semidirect
118. #65341	C₂²	semidirect
119. #65341	C₂²	semidirect
120. #65339	C₂²	semidirect
121. #65338	C₂²	semidirect
122. #65336	C₂²	semidirect
123. #65334	C₂²	semidirect
124. #65331	C₂²	semidirect
125. #65323	C₂²	semidirect
126. C₄×#689	C₂²	semidirect
127. #65317	C₂²	semidirect
128. C₄×#687	C₂²	semidirect
129. #65301	C₂²	semidirect
130. #65298	C₂²	semidirect
131. #65293	C₂²	semidirect
132. #65292	C₂²	semidirect
133. #65259	C₂²	semidirect
134. #65255	C₂²	semidirect
135. #65176	C₂²	semidirect
136. #65174	C₂²	semidirect
137. #65170	C₂²	semidirect
138. #65166	C₂²	semidirect
139. #65155	C₂²	semidirect
140. #65153	C₂²	semidirect
141. #65151	C₂²	semidirect
142. #65151	C₂²	semidirect
143. #65150	C₂²	semidirect
144. #65150	C₂²	semidirect
145. #65146	C₂²	semidirect
146. #65142	C₂²	semidirect
147. #65134	C₂²	semidirect
148. #65126	C₂²	semidirect
149. #65123	C₂²	semidirect
150. #65118	C₂²	semidirect
151. #65104	C₂²	semidirect
152. #65103	C₂²	semidirect
153. #65102	C₂²	semidirect
154. #65102	C₂²	semidirect
155. #65097	C₂²	semidirect
156. #65096	C₂²	semidirect
157. #65092	C₂²	semidirect
158. #65092	C₂²	semidirect
159. #65092	C₂²	semidirect
160. #65091	C₂²	semidirect
161. D₅×#103	C₂²	semidirect
162. D₅×#103	C₂²	semidirect
163. #65086	C₂²	semidirect
164. #65086	C₂²	semidirect
165. #65082	C₂²	semidirect
166. #65078	C₂²	semidirect
167. #65072	C₂²	semidirect
168. #65072	C₂²	semidirect
169. #65067	C₂²	semidirect
170. #65065	C₂²	semidirect
171. #65063	C₂²	semidirect
172. #65063	C₂²	semidirect
173. #65061	C₂²	semidirect
174. #65061	C₂²	semidirect
175. #65061	C₂²	semidirect
176. #65061	C₂²	semidirect
180. #65060	C₂²	semidirect
181. #65060	C₂²	semidirect
182. #65060	C₂²	semidirect
183. D₅×#102	C₂²	semidirect
184. D₅×#102	C₂²	semidirect
185. #65055	C₂²	semidirect
186. #65053	C₂²	semidirect
187. #65053	C₂²	semidirect
188. #65052	C₂²	semidirect
189. #65051	C₂²	semidirect
190. #65046	C₂²	semidirect
191. #65028	C₂²	semidirect
192. #65026	C₂²	semidirect
193. #65022	C₂²	semidirect
195. #65017	C₂²	semidirect
196. #65015	C₂²	semidirect
197. #65015	C₂²	semidirect
198. #65011	C₂²	semidirect
199. C₄×Dic₂₀	C₂²	semidirect
200. #64986	C₂²	semidirect
201. C₄×#676	C₂²	semidirect
202. C₈×D₂₀	C₂²	semidirect
493. #3323	D₅	semidirect
771. #552	C₂×D₅	semidirect
810. #488	C₂×D₅	semidirect
814. #485	C₂×D₅	semidirect
824. #481	C₂×D₅	semidirect
834. #478	C₂×D₅	semidirect
838. #470	C₂×D₅	semidirect
842. #468	C₂×D₅	semidirect
854. #464	C₂×D₅	semidirect
866. #452	C₂×D₅	semidirect
874. #450	C₂×D₅	semidirect
882. C₄×SD₁₆	C₂×D₅	semidirect
884. #436	C₂×D₅	semidirect
899. #418	C₂×D₅	semidirect
912. #417	C₂×D₅	semidirect
1758. C₅	#61163	semidirect

Maximal subgroups

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

subgroup	index
D₅×#552	2
#10618527	2
C₅×#3323	2
#10615336	2
#10615232	2
#10613385	2
#10613372	2
#10613258	2
#10613247	2
#10613063	2
#10613056	2
#10612917	2
#10612898	2
#10612646	2
#10612635	2
#10612555	2
#10612537	2
#10612347	2
#10612329	2
#10611985	2
#10611959	2
#10611892	2
#10611878	2
#10611408	2
C₄×#4061	2
#10611293	2
#10611271	2
#10610665	2
#10610655	2
#10610630	2
D₅×#417	2
#61163	5