Subgroups — #12976640

Order 1280.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618732	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618578	C₂	1	1	yes	maximal, characteristic
3	C₅×#3315	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615333	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615241	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613480	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613469	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613255	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613248	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613221	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613202	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612917	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612901	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612646	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612638	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612514	C₂	1	1	yes	maximal, characteristic, complemented
17	D₅×#467	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612222	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612209	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611979	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611977	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611961	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611959	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611533	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611507	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611243	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611209	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610629	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610614	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610588	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#416	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4150	C₂²	1	1	yes	characteristic
33	C₂×D₅×#41	C₂²	1	1	yes	characteristic
34	C₅×#552	C₂²	1	1	yes	characteristic, complemented
35	C₅×#547	C₂²	1	1	yes	characteristic
36	#66163	C₂²	1	1	yes	characteristic
37	#66158	C₂²	1	1	yes	characteristic
38	C₂×#4064	C₂²	1	1	yes	characteristic
39	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4061	C₂²	1	1	yes	characteristic
41	C₂×#4053	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic
43	#66061	C₂²	1	1	yes	characteristic
44	#66058	C₂²	1	1	yes	characteristic
45	#66039	—	2	1	no	—
46	#66035	—	2	1	no	—
47	#66028	C₂²	1	1	yes	characteristic
48	#66027	—	2	1	no	—
49	#66023	C₂²	1	1	yes	characteristic, complemented
50	#66022	—	2	1	no	—
51	#65996	—	2	1	no	—
52	#65993	—	2	1	no	—
53	#65990	—	2	1	no	—
54	#65989	—	2	1	no	—
55	#65988	—	2	1	no	—
56	#65982	—	2	1	no	—
57	#65975	C₂²	1	1	yes	characteristic, complemented
58	#65973	C₂²	1	1	yes	characteristic
59	#65967	C₂²	1	1	yes	characteristic
60	#65966	C₂²	1	1	yes	characteristic
61	#65963	C₂²	1	1	yes	characteristic
62	#65962	C₂²	1	1	yes	characteristic, complemented
63	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
64	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
65	#65944	—	2	1	no	—
66	#65931	—	2	1	no	—
67	#65913	C₂²	1	1	yes	characteristic
68	#65906	C₂²	1	1	yes	characteristic, complemented
69	#65888	C₂²	1	1	yes	characteristic
70	#65886	C₂²	1	1	yes	characteristic
71	#65881	C₂²	1	1	yes	characteristic
72	#65880	C₂²	1	1	yes	characteristic
73	#65876	C₂²	1	1	yes	characteristic, complemented
74	#65863	—	2	1	no	—
75	#65863	C₂²	1	1	yes	characteristic, complemented
76	#65862	—	2	1	no	—
77	D₅×#117	C₂²	1	1	yes	characteristic
78	#65845	C₂²	1	1	yes	characteristic
79	C₂×#4042	—	2	1	no	—
80	#65841	—	2	1	no	—
81	#65838	C₂²	1	1	yes	characteristic, complemented
82	C₅×#491	C₂²	1	1	yes	characteristic, complemented
83	C₅×#485	C₂²	1	1	yes	characteristic, complemented
84	C₅×#484	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×#467	C₂²	1	1	yes	characteristic, complemented
88	C₅×#462	C₂²	1	1	yes	characteristic, complemented
89	C₅×#452	C₂²	1	1	yes	characteristic
90	C₅×#452	C₂²	1	1	yes	characteristic, complemented
91	C₅×#440	C₂²	1	1	yes	characteristic, complemented
92	C₅×#435	C₂²	1	1	yes	characteristic, complemented
93	C₅×#417	C₂²	1	1	yes	characteristic, complemented
94	C₅×#416	C₂²	1	1	yes	characteristic
95	#65528	C₂²	1	1	yes	characteristic
96	#65528	C₂²	1	1	yes	characteristic, complemented
97	#65522	C₂²	1	1	yes	characteristic
98	#65522	C₂²	1	1	yes	characteristic, complemented
99	#65477	C₂²	1	1	yes	characteristic
100	#65477	C₂²	1	1	yes	characteristic, complemented
101	#65475	C₂²	1	1	yes	characteristic
102	#65475	C₂²	1	1	yes	characteristic, complemented
103	#65474	C₂²	1	1	yes	characteristic, complemented
104	#65471	C₂²	1	1	yes	characteristic, complemented
105	#65462	C₂²	1	1	yes	characteristic, complemented
106	#65458	C₂²	1	1	yes	characteristic
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65423	C₂²	1	1	yes	characteristic, complemented
109	#65416	C₂²	1	1	yes	characteristic
110	#65409	C₂²	1	1	yes	characteristic, complemented
111	#65405	C₂²	1	1	yes	characteristic, complemented
112	#65402	C₂²	1	1	yes	characteristic
113	#65400	C₂²	1	1	yes	characteristic, complemented
114	#65379	C₂²	1	1	yes	characteristic, complemented
115	#65370	C₂²	1	1	yes	characteristic, complemented
116	#65357	C₂²	1	1	yes	characteristic, complemented
117	#65352	C₂²	1	1	yes	characteristic, complemented
118	#65340	C₂²	1	1	yes	characteristic, complemented
119	#65340	C₂²	1	1	yes	characteristic, complemented
120	#65340	C₂²	1	1	yes	characteristic, complemented
121	#65339	C₂²	1	1	yes	characteristic, complemented
122	#65337	C₂²	1	1	yes	characteristic, complemented
123	#65336	C₂²	1	1	yes	characteristic
124	#65334	C₂²	1	1	yes	characteristic, complemented
125	#65334	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	D₄×#168	C₂²	1	1	yes	characteristic, complemented
130	#65296	C₂²	1	1	yes	characteristic, complemented
131	#65291	C₂²	1	1	yes	characteristic
132	#65285	C₂²	1	1	yes	characteristic, complemented
133	C₂×#3942	C₂²	1	1	yes	characteristic, complemented
134	#65256	C₂²	1	1	yes	characteristic, complemented
135	#65176	C₂²	1	1	yes	characteristic
136	#65174	C₂²	1	1	yes	characteristic, complemented
137	#65173	C₂²	1	1	yes	characteristic
138	#65171	C₂²	1	1	yes	characteristic, complemented
139	#65170	C₂²	1	1	yes	characteristic, complemented
140	D₅×#107	C₂²	1	1	yes	characteristic, complemented
141	#65164	C₂²	1	1	yes	characteristic, complemented
142	#65162	C₂²	1	1	yes	characteristic, complemented
143	#65153	C₂²	1	1	yes	characteristic, complemented
144	#65151	C₂²	1	1	yes	characteristic
145	#65150	C₂²	1	1	yes	characteristic, complemented
146	#65146	C₂²	1	1	yes	characteristic, complemented
147	#65139	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65128	C₂²	1	1	yes	characteristic, complemented
150	#65123	C₂²	1	1	yes	characteristic
151	#65105	C₂²	1	1	yes	characteristic, complemented
152	#65104	C₂²	1	1	yes	characteristic, complemented
153	#65102	C₂²	1	1	yes	characteristic
154	#65102	C₂²	1	1	yes	characteristic
155	#65101	C₂²	1	1	yes	characteristic, complemented
156	#65098	C₂²	1	1	yes	characteristic
157	#65098	C₂²	1	1	yes	characteristic, complemented
158	#65097	C₂²	1	1	yes	characteristic
159	#65097	C₂²	1	1	yes	characteristic, complemented
160	#65094	C₂²	1	1	yes	characteristic
161	#65093	C₂²	1	1	yes	characteristic
162	#65093	C₂²	1	1	yes	characteristic
163	#65092	C₂²	1	1	yes	characteristic
164	#65091	C₂²	1	1	yes	characteristic, complemented
165	#65091	C₂²	1	1	yes	characteristic, complemented
166	#65091	C₂²	1	1	yes	characteristic, complemented
167	D₅×#103	C₂²	1	1	yes	characteristic
168	D₅×#103	C₂²	1	1	yes	characteristic
169	D₅×#103	C₂²	1	1	yes	characteristic, complemented
170	D₅×#103	C₂²	1	1	yes	characteristic, complemented
171	D₅×#103	C₂²	1	1	yes	characteristic, complemented
172	#65089	C₂²	1	1	yes	characteristic, complemented
173	#65087	C₂²	1	1	yes	characteristic, complemented
174	#65086	C₂²	1	1	yes	characteristic, complemented
175	#65084	C₂²	1	1	yes	characteristic, complemented
176	#65082	C₂²	1	1	yes	characteristic, complemented
177	#65081	C₂²	1	1	yes	characteristic, complemented
178	#65078	C₂²	1	1	yes	characteristic, complemented
179	#65072	C₂²	1	1	yes	characteristic, complemented
180	#65065	C₂²	1	1	yes	characteristic
181	#65061	C₂²	1	1	yes	characteristic
182	#65061	C₂²	1	1	yes	characteristic
183	#65061	C₂²	1	1	yes	characteristic, complemented
184	#65060	C₂²	1	1	yes	characteristic
185	#65060	C₂²	1	1	yes	characteristic, complemented
186	D₅×#102	C₂²	1	1	yes	characteristic
187	D₅×#102	C₂²	1	1	yes	characteristic
188	#65055	C₂²	1	1	yes	characteristic, complemented
189	#65048	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
194	#65016	C₂²	1	1	yes	characteristic, complemented
195	#65015	C₂²	1	1	yes	characteristic
196	#65014	C₂²	1	1	yes	characteristic
197	#65014	C₂²	1	1	yes	characteristic, complemented
198	#65012	C₂²	1	1	yes	characteristic, complemented
199	#65005	C₂²	1	1	yes	characteristic, complemented
200	#65003	C₂²	1	1	yes	characteristic, complemented
201	#64997	C₂²	1	1	yes	characteristic, complemented
202	#64995	C₂²	1	1	yes	characteristic
203	#61173	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	#4150	—	2	4	no	—
207	#4150	—	4	2	no	—
208	D₅×#41	—	2	4	no	—
209	D₅×#41	—	4	2	no	—
210	C₂×#713	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₅	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×Q₈×D₅	C₂³	1	1	yes	characteristic
215	C₂×#711	—	2	1	no	—
216	C₂×#711	—	2	1	no	—
217	C₂×#711	—	2	1	no	—
218	C₂×#711	C₂³	1	1	yes	characteristic
219	C₂×#711	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₅	—	2	1	no	—
221	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
222	C₂×#709	—	2	1	no	—
223	C₂×#709	—	2	1	no	—
224	C₂×#709	C₂³	1	1	yes	characteristic
225	C₂×#709	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₅	—	2	1	no	—
227	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
228	C₂²×Dic₁₀	—	2	1	no	—
229	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
230	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
234	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
235	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₅×#126	—	2	1	no	—
237	C₅×#125	—	2	1	no	—
238	C₅×#125	C₂³	1	1	yes	characteristic
239	C₅×#123	—	2	1	no	—
240	C₅×#123	—	2	1	no	—
241	C₅×#123	—	2	1	no	—
242	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
243	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₅×#121	—	2	1	no	—
247	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
248	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
249	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
250	C₅×#117	—	2	1	no	—
251	C₅×#117	C₂³	1	1	yes	characteristic
252	C₂×C₅×C₄⋊C₄	—	2	1	no	—
253	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	#4093	C₂³	1	1	yes	characteristic
255	#4092	C₂³	1	1	yes	characteristic
256	#4092	C₂³	1	1	yes	characteristic
257	#4092	C₂³	1	1	yes	characteristic
258	#4092	C₂³	1	1	yes	characteristic
259	Q₈×Dic₅	C₂³	1	1	yes	characteristic
260	#4090	C₂³	1	1	yes	characteristic
261	C₂×#689	C₂³	1	1	yes	characteristic
262	C₂×#689	C₂³	1	1	yes	characteristic
263	C₂×#689	C₂³	1	1	yes	characteristic
264	C₂×#689	C₂³	1	1	yes	characteristic
265	C₂×#688	C₂³	1	1	yes	characteristic
266	#4085	—	2	1	no	—
267	#4085	—	2	1	no	—
268	#4085	—	2	1	no	—
269	#4085	D₄	1	1	yes	characteristic
270	#4083	—	2	1	no	—
271	#4083	D₄	1	1	yes	characteristic
272	#4082	—	2	1	no	—
273	#4081	—	2	1	no	—
274	D₄×Dic₅	C₂³	1	1	yes	characteristic
275	C₂×#687	C₂³	1	1	yes	characteristic
276	#4076	—	2	1	no	—
277	#4076	C₂³	1	1	yes	characteristic
278	#4075	—	2	1	no	—
279	#4075	—	2	1	no	—
280	C₄×C₂²⋊D₅	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	—	2	1	no	—
283	C₄×C₂²⋊D₅	—	2	1	no	—
284	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
285	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
286	C₂×#685	—	2	1	no	—
287	C₂×#685	—	2	1	no	—
288	#4072	C₂³	1	1	yes	characteristic
289	#4072	C₂³	1	1	yes	characteristic
290	#4070	—	2	1	no	—
291	#4070	C₂³	1	1	yes	characteristic
292	#4070	C₂³	1	1	yes	characteristic
293	#4070	C₂³	1	1	yes	characteristic
294	C₂×#683	—	2	1	no	—
295	C₂×#683	—	2	1	no	—
296	C₂²×#168	C₂³	1	1	yes	characteristic
297	C₂²×#168	C₂³	1	1	yes	characteristic
298	#4064	—	4	2	no	—
299	D₅×Q₁₆	—	4	2	no	—
300	#4061	—	2	4	no	—
301	#4053	—	4	2	no	—
302	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
303	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
304	C₂×#677	C₂³	1	1	yes	characteristic
305	C₂×#676	C₂³	1	1	yes	characteristic
306	C₂×#676	C₂³	1	1	yes	characteristic
307	C₂×#676	C₂³	1	1	yes	characteristic
308	C₂×C₈×D₅	—	4	2	no	—
309	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₅	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	#4044	—	2	1	no	—
315	#4044	—	2	1	no	—
316	#4043	—	2	1	no	—
317	#4043	C₂³	1	1	yes	characteristic
318	#4043	C₂³	1	1	yes	characteristic
319	#4043	C₂³	1	1	yes	characteristic
320	#4042	—	2	1	no	—
321	#4042	—	2	1	no	—
322	#4042	—	2	1	no	—
323	#4042	—	2	1	no	—
324	#4042	—	2	1	no	—
325	#4042	—	2	1	no	—
326	#4042	—	2	1	no	—
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	D₄	1	1	yes	characteristic
335	#4041	—	2	1	no	—
336	#4041	C₂³	1	1	yes	characteristic
337	#4040	—	2	1	no	—
338	#4040	—	2	1	no	—
339	#4040	—	2	1	no	—
340	#4040	—	2	1	no	—
341	#4040	D₄	1	1	yes	characteristic
342	#4039	—	2	1	no	—
343	#4039	—	2	1	no	—
344	#4039	—	2	1	no	—
345	#4038	—	2	1	no	—
346	#4038	—	2	1	no	—
347	#4038	—	2	1	no	—
348	#4038	C₂³	1	1	yes	characteristic
349	#4038	C₂³	1	1	yes	characteristic
350	#4038	C₂³	1	1	yes	characteristic
351	D₅×C₄⋊C₄	—	2	1	no	—
352	D₅×C₄⋊C₄	—	2	1	no	—
353	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
354	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
355	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
356	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
357	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
358	#4036	—	2	1	no	—
359	#4036	C₂³	1	1	yes	characteristic
360	#4035	—	2	1	no	—
361	#4035	—	2	1	no	—
362	#4035	—	2	1	no	—
363	#4034	—	2	1	no	—
364	#4034	—	2	1	no	—
365	#4034	—	2	1	no	—
366	#4034	—	2	1	no	—
367	#4034	C₂³	1	1	yes	characteristic
368	#4033	—	2	1	no	—
369	#4033	—	2	1	no	—
370	#4033	—	2	1	no	—
371	#4033	—	2	1	no	—
372	#4033	C₂³	1	1	yes	characteristic
373	#4033	C₂³	1	1	yes	characteristic
374	#4032	—	2	1	no	—
375	#4031	—	2	1	no	—
376	#4031	—	2	1	no	—
377	#4031	—	2	1	no	—
378	#4031	—	2	1	no	—
379	#4030	—	2	1	no	—
380	#4030	—	2	1	no	—
381	#4030	—	2	1	no	—
382	#4030	D₄	1	1	yes	characteristic
383	#4029	—	2	1	no	—
384	#4029	—	2	1	no	—
385	#4029	—	2	1	no	—
386	#4029	D₄	1	1	yes	characteristic
387	#4028	—	2	1	no	—
388	#4028	D₄	1	1	yes	characteristic
389	#4027	—	2	1	no	—
390	#4027	—	2	1	no	—
391	#4027	—	2	1	no	—
392	D₅×C₂²⋊C₄	—	2	1	no	—
393	D₅×C₂²⋊C₄	—	2	1	no	—
394	D₅×C₂²⋊C₄	—	2	1	no	—
395	#4025	—	2	1	no	—
396	#4025	—	2	1	no	—
397	#4025	—	2	1	no	—
398	#4025	—	2	1	no	—
399	#4025	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4024	—	2	1	no	—
402	#4024	—	2	1	no	—
403	#4024	D₄	1	1	yes	characteristic
404	#4023	—	2	1	no	—
405	#4023	—	2	1	no	—
406	#4021	C₂³	1	1	yes	characteristic
407	C₄×D₂₀	—	2	1	no	—
408	C₄×D₂₀	C₂³	1	1	yes	characteristic
409	#4018	—	2	1	no	—
410	#4018	—	2	1	no	—
411	#4018	—	2	1	no	—
412	#4018	C₂³	1	1	yes	characteristic
413	C₄²×D₅	—	2	1	no	—
414	#4016	—	2	1	no	—
415	#4016	—	2	1	no	—
416	#4015	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×#107	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×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×#97	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	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3967	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	#3946	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	C₈×Dic₅	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	#3939	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	#3495	—	5	1	no	—
489	#3489	—	5	1	no	—
490	#3315	—	5	1	no	—
491	#3315	D₅	1	1	yes	characteristic, complemented
492	#3314	—	5	1	no	—
493	#3314	—	5	1	no	—
494	#3313	—	5	1	no	—
495	#3313	—	5	1	no	—
496	#3312	—	5	1	no	—
497	#3312	—	5	1	no	—
498	#3302	—	5	1	no	—
499	#3302	—	5	1	no	—
500	#3300	—	5	1	no	—
501	#3300	—	5	1	no	—
502	#3299	—	5	1	no	—
503	#3299	—	5	1	no	—
504	#3296	—	5	1	no	—
505	#3296	—	5	1	no	—
506	#3137	—	5	1	no	—
507	#3098	—	5	1	no	—
508	#3095	—	5	1	no	—
509	#3083	—	5	1	no	—
510	#3063	—	5	1	no	—
511	C₂×#467	—	5	1	no	—
512	#3044	—	5	1	no	—
513	#3011	—	5	1	no	—
514	#3007	—	5	1	no	—
515	#2947	—	5	1	no	—
516	#2929	—	5	1	no	—
517	#2898	—	5	1	no	—
518	C₂×#416	—	5	1	no	—
519	C₂³×D₅	—	2	1	no	—
520	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
521	C₅×#41	—	2	2	no	—
522	C₅×#41	—	2	2	no	—
523	C₅×#41	—	4	1	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×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂×C₅×D₄	—	2	1	no	—
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
531	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₅	—	2	1	no	—
533	C₂²×C₄×C₅	—	2	1	no	—
534	C₂²×C₄×C₅	—	2	1	no	—
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
544	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
545	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₅	—	2	1	no	—
548	C₂²×Dic₅	—	2	1	no	—
549	C₂²×Dic₅	—	2	1	no	—
550	C₂²×Dic₅	—	2	1	no	—
551	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
552	#713	—	2	2	no	—
553	#713	—	2	2	no	—
554	Q₈×D₅	—	2	2	no	—
555	Q₈×D₅	—	2	2	no	—
556	Q₈×D₅	—	2	2	no	—
557	Q₈×D₅	—	2	2	no	—
558	Q₈×D₅	—	2	2	no	—
559	Q₈×D₅	—	2	2	no	—
560	Q₈×D₅	—	4	1	no	—
561	Q₈×D₅	—	4	1	no	—
562	#711	—	2	2	no	—
563	#711	—	2	2	no	—
564	#711	—	4	1	no	—
565	#711	—	4	4	no	—
566	#711	—	4	4	no	—
567	#711	—	4	4	no	—
568	#711	#41	1	4	yes	—
569	D₄×D₅	—	2	2	no	—
570	D₄×D₅	—	4	1	no	—
571	D₄×D₅	—	4	4	no	—
572	#709	—	2	2	no	—
573	#709	—	2	2	no	—
574	#709	—	2	2	no	—
575	#709	—	4	1	no	—
576	#709	—	4	4	no	—
577	#709	—	4	4	no	—
578	C₂×D₂₀	—	2	1	no	—
579	C₂×D₂₀	—	2	1	no	—
580	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
581	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
582	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₅	—	2	2	no	—
584	C₂×C₄×D₅	—	2	2	no	—
585	C₂×C₄×D₅	—	2	1	no	—
586	C₂×C₄×D₅	—	2	1	no	—
587	C₂×C₄×D₅	—	2	1	no	—
588	C₂×C₄×D₅	—	2	1	no	—
589	C₂×C₄×D₅	—	2	1	no	—
590	C₂×C₄×D₅	—	2	1	no	—
591	C₂×C₄×D₅	—	2	1	no	—
592	C₂×C₄×D₅	—	2	1	no	—
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	—	4	4	no	—
597	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
598	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
599	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
600	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
602	C₂×Dic₁₀	—	2	2	no	—
603	C₂×Dic₁₀	—	2	1	no	—
604	C₂×Dic₁₀	—	2	1	no	—
605	C₂×Dic₁₀	—	2	1	no	—
606	C₂×Dic₁₀	—	2	1	no	—
607	C₂×Dic₁₀	—	2	1	no	—
608	C₂×Dic₁₀	—	2	1	no	—
609	C₂×Dic₁₀	—	2	1	no	—
610	C₂×Dic₁₀	—	4	1	no	—
611	C₂×Dic₁₀	—	4	4	no	—
612	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
613	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
614	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
615	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
616	C₅×Q₁₆	—	4	1	no	—
617	C₅×Q₁₆	—	4	1	no	—
618	C₅×SD₁₆	—	2	2	no	—
619	C₅×M₁₆	—	4	1	no	—
620	C₂×C₅×C₈	—	4	1	no	—
621	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
622	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
623	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
624	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
625	C₅×C₄⋊C₄	—	2	1	no	—
626	C₅×C₄⋊C₄	—	2	1	no	—
627	C₅×C₄⋊C₄	—	2	1	no	—
628	C₅×C₄⋊C₄	—	2	1	no	—
629	C₅×C₄⋊C₄	—	2	1	no	—
630	C₅×C₄⋊C₄	—	2	1	no	—
631	C₅×C₄⋊C₄	—	2	1	no	—
632	C₅×C₄⋊C₄	—	2	1	no	—
633	C₅×C₄⋊C₄	—	2	1	no	—
634	C₅×C₄⋊C₄	—	2	1	no	—
635	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₅×C₂²⋊C₄	—	2	1	no	—
641	C₅×C₂²⋊C₄	—	2	1	no	—
642	C₅×C₂²⋊C₄	—	2	1	no	—
643	C₅×C₂²⋊C₄	—	2	1	no	—
644	C₅×C₂²⋊C₄	—	2	1	no	—
645	C₅×C₂²⋊C₄	—	2	1	no	—
646	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₄²×C₅	—	2	1	no	—
649	C₄²×C₅	—	2	1	no	—
650	C₄²×C₅	C₂⁴	1	1	yes	characteristic
651	C₂²⋊Dic₅	—	2	1	no	—
652	C₂²⋊Dic₅	—	2	1	no	—
653	C₂²⋊Dic₅	—	2	1	no	—
654	C₂²⋊Dic₅	—	2	1	no	—
655	C₂²⋊Dic₅	—	2	1	no	—
656	C₂²⋊Dic₅	—	2	1	no	—
657	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
659	#689	—	2	2	no	—
660	#689	—	4	1	no	—
661	#689	—	4	1	no	—
662	#689	—	4	1	no	—
663	#688	—	4	1	no	—
664	#687	—	2	2	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	—	2	1	no	—
672	#685	—	2	1	no	—
673	#685	—	2	1	no	—
674	#685	—	2	1	no	—
675	#685	—	2	1	no	—
676	#685	—	2	1	no	—
677	#685	—	2	1	no	—
678	#685	—	2	1	no	—
679	#685	—	2	1	no	—
680	#685	—	2	1	no	—
681	#685	C₂×D₄	1	1	yes	characteristic
682	#685	C₂×D₄	1	1	yes	characteristic
683	#685	C₂×D₄	1	1	yes	characteristic
684	#685	C₂×D₄	1	1	yes	characteristic
685	#685	C₂×D₄	1	1	yes	characteristic
686	#685	C₂×D₄	1	1	yes	characteristic
687	C₄⋊Dic₅	—	2	1	no	—
688	C₄⋊Dic₅	—	2	1	no	—
689	C₄⋊Dic₅	—	2	1	no	—
690	C₄⋊Dic₅	—	2	1	no	—
691	C₄⋊Dic₅	—	2	1	no	—
692	C₄⋊Dic₅	—	2	1	no	—
693	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
695	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
696	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
697	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	—	2	1	no	—
705	#683	—	2	1	no	—
706	#683	—	2	1	no	—
707	#683	—	2	1	no	—
708	#683	—	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	C₂×D₄	1	1	yes	characteristic
719	#683	C₂×D₄	1	1	yes	characteristic
720	#683	C₂×D₄	1	1	yes	characteristic
721	#683	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₅	—	2	1	no	—
723	C₄×Dic₅	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
733	C₂×#168	—	4	1	no	—
734	C₂×#168	—	4	1	no	—
735	C₂×#168	C₂⁴	1	1	yes	characteristic
736	C₂×#168	C₂⁴	1	1	yes	characteristic
737	C₂×#168	C₂⁴	1	1	yes	characteristic
738	C₂×#168	C₂⁴	1	1	yes	characteristic
739	Dic₂₀	—	2	2	no	—
740	Dic₂₀	—	4	1	no	—
741	#677	—	4	1	no	—
742	#676	—	2	2	no	—
743	#676	—	2	2	no	—
744	#676	—	4	1	no	—
745	C₈×D₅	—	2	2	no	—
746	C₈×D₅	—	2	2	no	—
747	C₈×D₅	—	4	1	no	—
748	C₈×D₅	—	4	1	no	—
749	C₈×D₅	—	4	1	no	—
750	C₂×2₋¹⁺⁴	—	5	1	no	—
751	C₂²×#41	—	5	1	no	—
752	C₂×#137	—	5	1	no	—
753	C₂×#137	—	5	1	no	—
754	C₂²×Q₁₆	—	5	1	no	—
755	C₂×#131	—	5	1	no	—
756	C₂³×C₈	—	5	1	no	—
757	#556	—	5	1	no	—
758	#556	—	5	1	no	—
759	#554	—	5	1	no	—
760	#554	—	5	1	no	—
761	#552	—	5	1	no	—
762	#552	—	5	1	no	—
763	#552	—	5	1	no	—
764	#552	—	10	1	no	—
765	#552	—	10	1	no	—
766	#552	C₂×D₅	1	1	yes	characteristic, complemented
767	#551	—	10	1	no	—
768	#551	—	10	1	no	—
769	D₄×Q₈	—	5	1	no	—
770	D₄×Q₈	—	5	1	no	—
771	#548	—	5	1	no	—
772	#548	—	5	1	no	—
773	#547	—	5	1	no	—
774	#547	—	10	1	no	—
775	#547	—	10	1	no	—
776	#547	C₂×D₅	1	1	yes	characteristic
777	#546	—	5	1	no	—
778	#546	—	5	1	no	—
779	#546	—	10	1	no	—
780	#546	—	10	1	no	—
781	#544	—	5	1	no	—
782	#542	—	10	1	no	—
783	#541	—	10	1	no	—
784	#537	—	5	1	no	—
785	#537	—	10	1	no	—
786	#536	—	5	1	no	—
787	#536	—	5	1	no	—
788	#536	—	10	1	no	—
789	#533	—	10	1	no	—
790	#529	—	10	1	no	—
791	#525	—	5	1	no	—
792	#525	—	10	1	no	—
793	C₂×C₂²⋊Q₈	—	5	1	no	—
794	C₂×C₂²⋊Q₈	—	5	1	no	—
795	C₂×C₂²⋊Q₈	—	10	1	no	—
796	#520	—	5	1	no	—
797	#520	—	5	1	no	—
798	#519	—	5	1	no	—
799	C₂×#117	—	5	1	no	—
800	#491	—	5	1	no	—
801	#491	C₂×D₅	1	1	yes	characteristic, complemented
802	#489	—	5	1	no	—
803	#489	—	5	1	no	—
804	#488	—	5	1	no	—
805	#488	—	5	1	no	—
806	#487	—	5	1	no	—
807	#487	—	5	1	no	—
808	#485	—	5	1	no	—
809	#485	—	5	1	no	—
810	#485	—	5	1	no	—
811	#485	—	5	1	no	—
812	#485	—	5	1	no	—
813	#485	C₂×D₅	1	1	yes	characteristic, complemented
814	#484	—	5	1	no	—
815	#484	—	5	1	no	—
816	#484	—	5	1	no	—
817	#484	C₂×D₅	1	1	yes	characteristic, complemented
818	#483	—	5	1	no	—
819	#483	—	5	1	no	—
820	#482	—	5	1	no	—
821	#482	—	5	1	no	—
822	#480	—	5	1	no	—
823	#480	—	5	1	no	—
824	#479	—	5	1	no	—
825	#479	—	5	1	no	—
826	#478	—	5	1	no	—
827	#478	C₂×D₅	1	1	yes	characteristic, complemented
828	#477	—	5	1	no	—
829	#477	—	5	1	no	—
830	#474	—	5	1	no	—
831	#474	—	5	1	no	—
832	#470	—	5	1	no	—
833	#470	C₂×D₅	1	1	yes	characteristic, complemented
834	#468	—	5	1	no	—
835	#468	—	5	1	no	—
836	#467	—	5	1	no	—
837	#467	—	5	1	no	—
838	#467	—	5	1	no	—
839	#467	—	5	1	no	—
840	#467	—	5	1	no	—
841	#467	—	5	1	no	—
842	#467	—	5	1	no	—
843	#467	—	5	1	no	—
844	#467	—	5	1	no	—
845	#467	C₂×D₅	1	1	yes	characteristic, complemented
846	#465	—	5	1	no	—
847	#465	—	5	1	no	—
848	#464	—	5	1	no	—
849	#464	—	5	1	no	—
850	#464	—	5	1	no	—
851	#464	—	5	1	no	—
852	#462	—	5	1	no	—
853	#462	—	5	1	no	—
854	#462	—	5	1	no	—
855	#462	C₂×D₅	1	1	yes	characteristic, complemented
856	#452	—	5	1	no	—
857	#452	—	5	1	no	—
858	#452	—	5	1	no	—
859	#452	—	5	1	no	—
860	#452	—	5	1	no	—
861	#452	—	5	1	no	—
862	#452	C₂×D₅	1	1	yes	characteristic
863	#452	C₂×D₅	1	1	yes	characteristic, complemented
864	#451	—	5	1	no	—
865	#451	—	5	1	no	—
866	#451	—	5	1	no	—
867	#451	—	5	1	no	—
868	#451	—	5	1	no	—
869	#451	—	5	1	no	—
870	#450	—	5	1	no	—
871	#450	—	5	1	no	—
872	#441	—	5	1	no	—
873	#441	—	5	1	no	—
874	#440	—	5	1	no	—
875	#440	C₂×D₅	1	1	yes	characteristic, complemented
876	C₄×Q₁₆	—	5	1	no	—
877	C₄×Q₁₆	—	5	1	no	—
878	C₄×SD₁₆	—	5	1	no	—
879	C₄×SD₁₆	—	5	1	no	—
880	#435	—	5	1	no	—
881	#435	—	5	1	no	—
882	#435	—	5	1	no	—
883	#435	C₂×D₅	1	1	yes	characteristic, complemented
884	C₈×D₄	—	5	1	no	—
885	C₈×D₄	—	5	1	no	—
886	C₈×D₄	—	5	1	no	—
887	C₈×D₄	—	5	1	no	—
888	#428	—	5	1	no	—
889	#428	—	5	1	no	—
890	C₂×#107	—	5	1	no	—
891	#424	—	5	1	no	—
892	#419	—	5	1	no	—
893	#419	—	5	1	no	—
894	#419	—	5	1	no	—
895	#419	—	5	1	no	—
896	#417	—	5	1	no	—
897	#417	—	5	1	no	—
898	#417	—	5	1	no	—
899	#417	C₂×D₅	1	1	yes	characteristic, complemented
900	#416	—	5	1	no	—
901	#416	—	5	1	no	—
902	#416	—	5	1	no	—
903	#416	—	5	1	no	—
904	#416	—	5	1	no	—
905	#416	—	5	1	no	—
906	#416	—	5	1	no	—
907	#416	—	5	1	no	—
908	#416	—	5	1	no	—
909	#416	C₂×D₅	1	1	yes	characteristic
910	C₂×#103	—	5	1	no	—
911	C₂×#103	—	5	1	no	—
912	C₂×#103	—	5	1	no	—
913	C₂×#103	—	5	1	no	—
914	C₂×#103	—	5	1	no	—
915	C₂×#103	—	5	1	no	—
916	C₂×#102	—	5	1	no	—
917	C₂×#102	—	5	1	no	—
918	#408	—	5	1	no	—
919	#407	—	5	1	no	—
920	#405	—	5	1	no	—
921	C₂³×C₅	—	2	1	no	—
922	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
923	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
924	C₂²×D₅	—	2	2	no	—
925	C₂²×D₅	—	2	2	no	—
926	C₂²×D₅	—	2	1	no	—
927	C₂²×D₅	—	4	1	no	—
928	C₂²×D₅	—	4	2	no	—
929	C₂²×D₅	—	4	2	no	—
930	C₂²×D₅	—	8	1	no	—
931	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
932	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
933	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
934	C₅×Q₈	—	2	1	no	—
935	C₅×Q₈	—	2	1	no	—
936	C₅×Q₈	—	2	1	no	—
937	C₅×Q₈	—	2	1	no	—
938	C₅×Q₈	—	2	1	no	—
939	C₅×Q₈	—	2	1	no	—
940	C₅×D₄	—	2	1	no	—
941	C₅×D₄	—	4	1	no	—
942	C₅×D₄	—	4	2	no	—
943	C₅×D₄	—	4	2	no	—
944	C₅×D₄	C₂×#41	1	2	yes	—
945	C₂×C₄×C₅	—	2	1	no	—
946	C₂×C₄×C₅	—	2	1	no	—
947	C₂×C₄×C₅	—	2	1	no	—
948	C₂×C₄×C₅	—	2	1	no	—
949	C₂×C₄×C₅	—	2	1	no	—
950	C₂×C₄×C₅	—	2	1	no	—
951	C₂×C₄×C₅	—	2	1	no	—
952	C₂×C₄×C₅	—	2	1	no	—
953	C₂×C₄×C₅	—	2	1	no	—
954	C₂×C₄×C₅	—	2	1	no	—
955	C₂×C₄×C₅	—	2	1	no	—
956	C₂×C₄×C₅	—	4	2	no	—
957	C₂×C₄×C₅	—	4	2	no	—
958	C₂×C₄×C₅	—	8	1	no	—
959	C₂×C₄×C₅	—	8	1	no	—
960	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
961	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
962	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
963	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
964	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
965	C₂²⋊D₅	—	2	2	no	—
966	C₂²⋊D₅	—	2	4	no	—
967	C₂²⋊D₅	—	2	2	no	—
968	C₂²⋊D₅	—	2	2	no	—
969	C₂²⋊D₅	—	4	1	no	—
970	C₂²⋊D₅	—	4	2	no	—
971	C₂²⋊D₅	—	4	2	no	—
972	C₂²⋊D₅	—	4	2	no	—
973	C₂²⋊D₅	—	8	1	no	—
974	C₂×Dic₅	—	2	1	no	—
975	C₂×Dic₅	—	2	4	no	—
976	C₂×Dic₅	—	2	2	no	—
977	C₂×Dic₅	—	2	1	no	—
978	C₂×Dic₅	—	2	1	no	—
979	C₂×Dic₅	—	2	1	no	—
980	C₂×Dic₅	—	2	1	no	—
981	C₂×Dic₅	—	2	1	no	—
982	C₂×Dic₅	—	2	1	no	—
983	C₂×Dic₅	—	4	2	no	—
984	C₂×Dic₅	—	4	2	no	—
985	C₂×Dic₅	—	8	1	no	—
986	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
987	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
988	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
989	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
990	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
991	D₂₀	—	2	2	no	—
992	D₂₀	—	2	2	no	—
993	D₂₀	—	2	1	no	—
994	D₂₀	—	2	1	no	—
995	D₂₀	—	4	2	no	—
996	D₂₀	—	8	1	no	—
997	C₄×D₅	—	2	2	no	—
998	C₄×D₅	—	2	1	no	—
999	C₄×D₅	—	2	1	no	—
1000	C₄×D₅	—	2	1	no	—
1001	C₄×D₅	—	2	1	no	—
1002	C₄×D₅	—	2	2	no	—
1003	C₄×D₅	—	4	2	no	—
1004	C₄×D₅	—	4	2	no	—
1005	C₄×D₅	—	4	2	no	—
1006	C₄×D₅	—	4	2	no	—
1007	C₄×D₅	—	4	2	no	—
1008	C₄×D₅	—	4	2	no	—
1009	C₄×D₅	—	4	2	no	—
1010	C₄×D₅	—	8	1	no	—
1011	C₄×D₅	—	8	1	no	—
1012	C₄×D₅	—	8	1	no	—
1013	C₄×D₅	—	8	1	no	—
1014	C₄×D₅	C₂×#41	1	2	yes	—
1015	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1016	Dic₁₀	—	2	1	no	—
1017	Dic₁₀	—	2	2	no	—
1018	Dic₁₀	—	2	1	no	—
1019	Dic₁₀	—	2	1	no	—
1020	Dic₁₀	—	2	1	no	—
1021	Dic₁₀	—	2	1	no	—
1022	Dic₁₀	—	4	2	no	—
1023	Dic₁₀	—	4	2	no	—
1024	Dic₁₀	—	4	2	no	—
1025	Dic₁₀	—	4	2	no	—
1026	Dic₁₀	—	4	2	no	—
1027	Dic₁₀	—	8	1	no	—
1028	Dic₁₀	—	8	1	no	—
1029	Dic₁₀	C₂×#41	1	2	yes	—
1030	C₅×C₈	—	2	1	no	—
1031	C₅×C₈	—	2	1	no	—
1032	C₅×C₈	—	2	1	no	—
1033	C₅×C₈	—	2	1	no	—
1034	#168	—	2	1	no	—
1035	#168	—	2	1	no	—
1036	#168	—	2	1	no	—
1037	#168	—	2	1	no	—
1038	2₋¹⁺⁴	—	10	4	no	—
1039	2₋¹⁺⁴	—	20	2	no	—
1040	C₂×#41	—	5	1	no	—
1041	C₂×#41	—	5	1	no	—
1042	C₂×#41	—	5	1	no	—
1043	C₂×#41	—	5	1	no	—
1044	C₂×#41	—	5	1	no	—
1045	C₂×#41	—	10	1	no	—
1046	C₂×#41	—	10	1	no	—
1047	C₂×#41	—	10	1	no	—
1048	C₂×#41	—	10	1	no	—
1049	C₂×#41	—	10	1	no	—
1050	C₂×#41	—	10	4	no	—
1051	C₂×#41	—	20	2	no	—
1052	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1053	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1054	C₂²×Q₈	—	5	1	no	—
1055	C₂²×Q₈	—	5	1	no	—
1056	C₂²×Q₈	—	5	1	no	—
1057	C₂²×Q₈	—	5	1	no	—
1058	C₂²×Q₈	—	5	1	no	—
1059	C₂²×Q₈	—	10	1	no	—
1060	C₂²×D₄	—	5	1	no	—
1061	C₂²×D₄	—	10	1	no	—
1062	C₂³×C₄	—	5	1	no	—
1063	C₂³×C₄	—	10	1	no	—
1064	#137	—	10	4	no	—
1065	#137	—	20	2	no	—
1066	C₂×Q₁₆	—	5	1	no	—
1067	C₂×Q₁₆	—	5	1	no	—
1068	C₂×Q₁₆	—	5	1	no	—
1069	C₂×Q₁₆	—	5	1	no	—
1070	C₂×Q₁₆	—	5	1	no	—
1071	C₂×Q₁₆	—	5	1	no	—
1072	C₂×Q₁₆	—	20	2	no	—
1073	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1074	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1075	C₂×SD₁₆	—	5	1	no	—
1076	C₂×SD₁₆	—	5	1	no	—
1077	C₂×SD₁₆	—	5	1	no	—
1078	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1079	#131	—	20	2	no	—
1080	C₂×M₁₆	—	5	1	no	—
1081	C₂×M₁₆	—	5	1	no	—
1082	C₂×M₁₆	—	5	1	no	—
1083	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1084	C₂²×C₈	—	5	1	no	—
1085	C₂²×C₈	—	5	1	no	—
1086	C₂²×C₈	—	5	1	no	—
1087	C₂²×C₈	—	5	1	no	—
1088	C₂²×C₈	—	5	1	no	—
1089	C₂²×C₈	—	5	1	no	—
1090	C₂²×C₈	—	5	1	no	—
1091	C₂²×C₈	—	20	2	no	—
1092	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1093	C₄⋊Q₈	—	5	1	no	—
1094	C₄⋊Q₈	—	5	1	no	—
1095	C₄⋊Q₈	—	5	1	no	—
1096	C₄⋊Q₈	—	10	1	no	—
1097	C₄⋊Q₈	—	10	1	no	—
1098	C₄⋊Q₈	—	10	1	no	—
1099	C₄⋊Q₈	—	10	1	no	—
1100	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1101	#126	—	2	1	no	—
1102	#126	—	10	1	no	—
1103	#126	—	10	1	no	—
1104	#126	—	10	1	no	—
1105	#126	—	10	1	no	—
1106	#126	—	10	1	no	—
1107	#126	—	10	1	no	—
1108	#126	—	10	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	5	1	no	—
1111	#125	—	10	1	no	—
1112	#125	—	10	1	no	—
1113	#125	—	10	1	no	—
1114	#125	—	10	1	no	—
1115	#125	—	10	1	no	—
1116	#125	—	10	1	no	—
1117	#125	C₂²×D₅	1	1	yes	characteristic
1118	#124	—	5	1	no	—
1119	#124	—	5	1	no	—
1120	#124	—	10	1	no	—
1121	#124	—	10	1	no	—
1122	#124	—	10	1	no	—
1123	#124	—	10	1	no	—
1124	#124	—	10	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	5	1	no	—
1129	#123	—	5	1	no	—
1130	#123	—	10	1	no	—
1131	#123	—	10	1	no	—
1132	#123	—	10	1	no	—
1133	#123	—	10	1	no	—
1134	#123	—	10	1	no	—
1135	#123	—	10	1	no	—
1136	#123	—	10	1	no	—
1137	#123	—	10	1	no	—
1138	#123	—	10	1	no	—
1139	#123	—	10	1	no	—
1140	#123	—	10	1	no	—
1141	C₂²⋊Q₈	—	5	1	no	—
1142	C₂²⋊Q₈	—	5	1	no	—
1143	C₂²⋊Q₈	—	5	1	no	—
1144	C₂²⋊Q₈	—	5	1	no	—
1145	C₂²⋊Q₈	—	5	1	no	—
1146	C₂²⋊Q₈	—	5	1	no	—
1147	C₂²⋊Q₈	—	5	1	no	—
1148	C₂²⋊Q₈	—	5	1	no	—
1149	C₂²⋊Q₈	—	5	1	no	—
1150	C₂²⋊Q₈	—	5	1	no	—
1151	C₂²⋊Q₈	—	5	1	no	—
1152	C₂²⋊Q₈	—	5	1	no	—
1153	C₂²⋊Q₈	—	10	1	no	—
1154	C₂²⋊Q₈	—	10	1	no	—
1155	C₂²⋊Q₈	—	10	1	no	—
1156	C₂²⋊Q₈	—	10	1	no	—
1157	C₂²⋊Q₈	—	10	1	no	—
1158	C₂²⋊Q₈	—	10	1	no	—
1159	C₂²⋊Q₈	—	10	1	no	—
1160	C₂²⋊Q₈	—	10	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	—	10	1	no	—
1170	C₂²⋊Q₈	—	10	1	no	—
1171	C₂²⋊Q₈	—	10	1	no	—
1172	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1173	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1174	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1175	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1176	#121	—	2	1	no	—
1177	#121	—	5	1	no	—
1178	#121	—	5	1	no	—
1179	#121	—	5	1	no	—
1180	#121	—	5	1	no	—
1181	#121	—	10	1	no	—
1182	#121	—	10	1	no	—
1183	#121	—	10	1	no	—
1184	#121	—	10	1	no	—
1185	#121	—	10	1	no	—
1186	#121	—	10	1	no	—
1187	#121	—	10	1	no	—
1188	#121	—	10	1	no	—
1189	#120	—	5	1	no	—
1190	#120	—	5	1	no	—
1191	#120	—	10	1	no	—
1192	#120	—	10	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	—	5	1	no	—
1198	C₄×Q₈	—	10	1	no	—
1199	C₄×Q₈	—	10	1	no	—
1200	C₄×Q₈	—	10	1	no	—
1201	C₄×Q₈	—	10	1	no	—
1202	C₄×Q₈	—	10	1	no	—
1203	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic
1220	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1221	#117	—	2	1	no	—
1222	#117	—	5	1	no	—
1223	#117	—	5	1	no	—
1224	#117	—	5	1	no	—
1225	#117	—	5	1	no	—
1226	#117	—	5	1	no	—
1227	#117	—	5	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	C₂²×D₅	1	1	yes	characteristic
1237	C₂×C₄⋊C₄	—	2	1	no	—
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	—	10	1	no	—
1244	C₂×C₄⋊C₄	—	10	1	no	—
1245	C₂×C₄⋊C₄	—	10	1	no	—
1246	C₂×C₄⋊C₄	—	10	1	no	—
1247	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1248	C₂×C₂²⋊C₄	—	10	1	no	—
1249	C₂×C₂²⋊C₄	—	10	1	no	—
1250	C₂×C₂²⋊C₄	—	10	1	no	—
1251	C₂×C₂²⋊C₄	—	10	1	no	—
1252	C₂×C₂²⋊C₄	—	10	1	no	—
1253	C₂×C₄²	—	10	1	no	—
1254	#107	—	5	1	no	—
1255	#107	—	5	1	no	—
1256	#107	—	5	1	no	—
1257	#107	—	5	1	no	—
1258	#107	—	5	1	no	—
1259	#107	—	5	1	no	—
1260	#107	C₂²×D₅	1	1	yes	characteristic
1261	#107	C₂²×D₅	1	1	yes	characteristic
1262	#106	—	5	1	no	—
1263	#106	—	5	1	no	—
1264	#106	—	5	1	no	—
1265	#106	C₂²×D₅	1	1	yes	characteristic
1266	C₄⋊C₈	—	5	1	no	—
1267	C₄⋊C₈	—	5	1	no	—
1268	C₄⋊C₈	—	5	1	no	—
1269	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1270	#103	—	5	1	no	—
1271	#103	—	5	1	no	—
1272	#103	—	5	1	no	—
1273	#103	—	5	1	no	—
1274	#103	—	5	1	no	—
1275	#103	—	5	1	no	—
1276	#103	—	5	1	no	—
1277	#103	—	5	1	no	—
1278	#103	—	5	1	no	—
1279	#103	—	5	1	no	—
1280	#103	—	5	1	no	—
1281	#103	—	5	1	no	—
1282	#103	—	5	1	no	—
1283	#103	—	5	1	no	—
1284	#103	—	5	1	no	—
1285	#103	—	5	1	no	—
1286	#103	—	5	1	no	—
1287	#103	—	5	1	no	—
1288	#103	—	5	1	no	—
1289	#103	—	5	1	no	—
1290	#103	—	5	1	no	—
1291	#103	C₂²×D₅	1	1	yes	characteristic
1292	#103	C₂²×D₅	1	1	yes	characteristic
1293	#103	C₂²×D₅	1	1	yes	characteristic
1294	#103	C₂²×D₅	1	1	yes	characteristic
1295	#103	C₂²×D₅	1	1	yes	characteristic
1296	#103	C₂²×D₅	1	1	yes	characteristic
1297	#103	C₂²×D₅	1	1	yes	characteristic
1298	#102	—	5	1	no	—
1299	#102	—	5	1	no	—
1300	#102	—	5	1	no	—
1301	#102	—	5	1	no	—
1302	#102	—	5	1	no	—
1303	#102	—	5	1	no	—
1304	#102	—	5	1	no	—
1305	#102	—	5	1	no	—
1306	#102	—	5	1	no	—
1307	#102	C₂²×D₅	1	1	yes	characteristic
1308	#102	C₂²×D₅	1	1	yes	characteristic
1309	#102	C₂²×D₅	1	1	yes	characteristic
1310	C₂²⋊C₈	—	5	1	no	—
1311	C₂²⋊C₈	—	5	1	no	—
1312	C₂²⋊C₈	—	5	1	no	—
1313	C₂²⋊C₈	—	5	1	no	—
1314	C₂²⋊C₈	—	5	1	no	—
1315	C₂²⋊C₈	—	5	1	no	—
1316	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1317	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1318	#97	—	5	1	no	—
1319	#97	C₂²×D₅	1	1	yes	characteristic
1320	C₄×C₈	—	5	1	no	—
1321	C₄×C₈	—	5	1	no	—
1322	C₂²×C₅	—	2	1	no	—
1323	C₂²×C₅	—	2	1	no	—
1324	C₂²×C₅	—	2	2	no	—
1325	C₂²×C₅	—	2	1	no	—
1326	C₂²×C₅	—	2	1	no	—
1327	C₂²×C₅	—	2	1	no	—
1328	C₂²×C₅	—	2	1	no	—
1329	C₂²×C₅	—	4	1	no	—
1330	C₂²×C₅	—	4	1	no	—
1331	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1332	C₂×D₅	—	2	1	no	—
1333	C₂×D₅	—	2	1	no	—
1334	C₂×D₅	—	2	1	no	—
1335	C₂×D₅	—	2	1	no	—
1336	C₂×D₅	—	2	1	no	—
1337	C₂×D₅	—	2	1	no	—
1338	C₂×D₅	—	2	1	no	—
1339	C₂×D₅	—	4	4	no	—
1340	C₂×D₅	—	4	1	no	—
1341	C₂×D₅	—	4	1	no	—
1342	C₂×D₅	—	4	1	no	—
1343	C₂×D₅	—	8	4	no	—
1344	C₂×D₅	#546	1	2	yes	—
1345	C₂×D₅	#578	1	2	yes	—
1346	C₄×C₅	—	2	1	no	—
1347	C₄×C₅	—	2	1	no	—
1348	C₄×C₅	—	2	1	no	—
1349	C₄×C₅	—	2	1	no	—
1350	C₄×C₅	—	4	1	no	—
1351	C₄×C₅	—	4	1	no	—
1352	C₄×C₅	—	4	1	no	—
1353	C₄×C₅	—	4	1	no	—
1354	C₄×C₅	—	4	1	no	—
1355	C₄×C₅	—	4	1	no	—
1356	C₄×C₅	—	4	1	no	—
1357	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1358	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1359	Dic₅	—	2	1	no	—
1360	Dic₅	—	2	1	no	—
1361	Dic₅	—	2	2	no	—
1362	Dic₅	—	2	1	no	—
1363	Dic₅	—	2	1	no	—
1364	Dic₅	—	4	1	no	—
1365	Dic₅	—	4	1	no	—
1366	Dic₅	—	4	1	no	—
1367	Dic₅	—	4	1	no	—
1368	Dic₅	—	4	1	no	—
1369	Dic₅	—	4	1	no	—
1370	Dic₅	#546	1	2	yes	—
1371	C₂⁴	—	5	1	no	—
1372	C₂⁴	—	10	1	no	—
1373	#41	—	2	2	no	—
1374	#41	—	2	2	no	—
1375	#41	—	4	1	no	—
1376	#41	—	4	1	no	—
1377	#41	—	5	4	no	—
1378	#41	—	10	2	no	—
1379	#41	—	10	2	no	—
1380	#41	—	10	2	no	—
1381	#41	—	10	2	no	—
1382	#41	—	10	2	no	—
1383	#41	—	10	2	no	—
1384	#41	—	10	2	no	—
1385	#41	—	20	1	no	—
1386	#41	—	20	4	no	—
1387	#41	—	20	4	no	—
1388	#41	—	20	4	no	—
1389	#41	—	20	1	no	—
1390	#41	—	20	4	no	—
1391	#41	—	20	4	no	—
1392	C₂×Q₈	—	5	1	no	—
1393	C₂×Q₈	—	5	1	no	—
1394	C₂×Q₈	—	5	1	no	—
1395	C₂×Q₈	—	5	1	no	—
1396	C₂×Q₈	—	10	1	no	—
1397	C₂×Q₈	—	10	1	no	—
1398	C₂×Q₈	—	10	1	no	—
1399	C₂×Q₈	—	10	1	no	—
1400	C₂×Q₈	—	10	1	no	—
1401	C₂×Q₈	—	10	2	no	—
1402	C₂×Q₈	—	10	2	no	—
1403	C₂×Q₈	—	10	2	no	—
1404	C₂×Q₈	—	10	2	no	—
1405	C₂×Q₈	—	10	2	no	—
1406	C₂×Q₈	—	10	1	no	—
1407	C₂×Q₈	—	10	1	no	—
1408	C₂×Q₈	—	10	2	no	—
1409	C₂×Q₈	—	10	2	no	—
1410	C₂×Q₈	—	20	1	no	—
1411	C₂×Q₈	—	20	4	no	—
1412	C₂×Q₈	—	20	1	no	—
1413	C₂×Q₈	—	20	1	no	—
1414	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1415	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1416	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	5	1	no	—
1420	C₂×D₄	—	5	1	no	—
1421	C₂×D₄	—	5	1	no	—
1422	C₂×D₄	—	5	1	no	—
1423	C₂×D₄	—	5	1	no	—
1424	C₂×D₄	—	5	1	no	—
1425	C₂×D₄	—	5	1	no	—
1426	C₂×D₄	—	10	1	no	—
1427	C₂×D₄	—	10	1	no	—
1428	C₂×D₄	—	10	1	no	—
1429	C₂×D₄	—	10	1	no	—
1430	C₂×D₄	—	10	2	no	—
1431	C₂×D₄	—	10	1	no	—
1432	C₂×D₄	—	10	1	no	—
1433	C₂×D₄	—	10	1	no	—
1434	C₂×D₄	—	20	1	no	—
1435	C₂×D₄	—	20	4	no	—
1436	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1437	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	5	1	no	—
1443	C₂²×C₄	—	5	1	no	—
1444	C₂²×C₄	—	5	1	no	—
1445	C₂²×C₄	—	5	1	no	—
1446	C₂²×C₄	—	5	1	no	—
1447	C₂²×C₄	—	5	1	no	—
1448	C₂²×C₄	—	10	2	no	—
1449	C₂²×C₄	—	10	2	no	—
1450	C₂²×C₄	—	10	1	no	—
1451	C₂²×C₄	—	10	1	no	—
1452	C₂²×C₄	—	10	1	no	—
1453	C₂²×C₄	—	10	1	no	—
1454	C₂²×C₄	—	10	1	no	—
1455	C₂²×C₄	—	10	1	no	—
1456	C₂²×C₄	—	10	1	no	—
1457	C₂²×C₄	—	10	1	no	—
1458	C₂²×C₄	—	10	1	no	—
1459	C₂²×C₄	—	10	1	no	—
1460	C₂²×C₄	—	10	1	no	—
1461	C₂²×C₄	—	10	1	no	—
1462	C₂²×C₄	—	10	1	no	—
1463	C₂²×C₄	—	10	1	no	—
1464	C₂²×C₄	—	10	1	no	—
1465	C₂²×C₄	—	20	4	no	—
1466	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1467	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1468	Q₁₆	—	4	1	no	—
1469	Q₁₆	—	4	1	no	—
1470	Q₁₆	—	10	2	no	—
1471	Q₁₆	—	10	2	no	—
1472	Q₁₆	—	20	1	no	—
1473	Q₁₆	—	20	1	no	—
1474	Q₁₆	—	20	1	no	—
1475	Q₁₆	—	20	1	no	—
1476	SD₁₆	—	2	2	no	—
1477	SD₁₆	—	10	2	no	—
1478	SD₁₆	—	20	1	no	—
1479	SD₁₆	—	20	1	no	—
1480	M₁₆	—	4	1	no	—
1481	M₁₆	—	10	2	no	—
1482	M₁₆	—	10	2	no	—
1483	M₁₆	—	20	1	no	—
1484	C₂×C₈	—	4	1	no	—
1485	C₂×C₈	—	5	1	no	—
1486	C₂×C₈	—	5	1	no	—
1487	C₂×C₈	—	5	1	no	—
1488	C₂×C₈	—	5	1	no	—
1489	C₂×C₈	—	10	2	no	—
1490	C₂×C₈	—	10	2	no	—
1491	C₂×C₈	—	20	1	no	—
1492	C₂×C₈	—	20	1	no	—
1493	C₂×C₈	—	20	1	no	—
1494	C₂×C₈	—	20	1	no	—
1495	C₂×C₈	—	20	1	no	—
1496	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1497	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1498	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1499	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	5	1	no	—
1511	C₄⋊C₄	—	5	1	no	—
1512	C₄⋊C₄	—	5	1	no	—
1513	C₄⋊C₄	—	5	1	no	—
1514	C₄⋊C₄	—	5	1	no	—
1515	C₄⋊C₄	—	5	1	no	—
1516	C₄⋊C₄	—	5	1	no	—
1517	C₄⋊C₄	—	5	1	no	—
1518	C₄⋊C₄	—	5	1	no	—
1519	C₄⋊C₄	—	10	1	no	—
1520	C₄⋊C₄	—	10	1	no	—
1521	C₄⋊C₄	—	10	1	no	—
1522	C₄⋊C₄	—	10	1	no	—
1523	C₄⋊C₄	—	10	1	no	—
1524	C₄⋊C₄	—	10	1	no	—
1525	C₄⋊C₄	—	10	1	no	—
1526	C₄⋊C₄	—	10	1	no	—
1527	C₄⋊C₄	—	10	1	no	—
1528	C₄⋊C₄	—	10	1	no	—
1529	C₄⋊C₄	—	10	1	no	—
1530	C₄⋊C₄	—	10	1	no	—
1531	C₄⋊C₄	—	10	1	no	—
1532	C₄⋊C₄	—	10	1	no	—
1533	C₄⋊C₄	—	10	1	no	—
1534	C₄⋊C₄	—	10	1	no	—
1535	C₄⋊C₄	—	10	1	no	—
1536	C₄⋊C₄	—	10	1	no	—
1537	C₄⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1546	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1547	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1548	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1549	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	5	1	no	—
1557	C₂²⋊C₄	—	5	1	no	—
1558	C₂²⋊C₄	—	5	1	no	—
1559	C₂²⋊C₄	—	5	1	no	—
1560	C₂²⋊C₄	—	5	1	no	—
1561	C₂²⋊C₄	—	5	1	no	—
1562	C₂²⋊C₄	—	5	1	no	—
1563	C₂²⋊C₄	—	5	1	no	—
1564	C₂²⋊C₄	—	10	1	no	—
1565	C₂²⋊C₄	—	10	1	no	—
1566	C₂²⋊C₄	—	10	1	no	—
1567	C₂²⋊C₄	—	10	1	no	—
1568	C₂²⋊C₄	—	10	1	no	—
1569	C₂²⋊C₄	—	10	1	no	—
1570	C₂²⋊C₄	—	10	1	no	—
1571	C₂²⋊C₄	—	10	1	no	—
1572	C₂²⋊C₄	—	10	1	no	—
1573	C₂²⋊C₄	—	10	1	no	—
1574	C₂²⋊C₄	—	10	1	no	—
1575	C₂²⋊C₄	—	10	1	no	—
1576	C₂²⋊C₄	—	10	1	no	—
1577	C₂²⋊C₄	—	10	1	no	—
1578	C₂²⋊C₄	—	10	1	no	—
1579	C₂²⋊C₄	—	10	1	no	—
1580	C₂²⋊C₄	—	10	1	no	—
1581	C₂²⋊C₄	—	10	1	no	—
1582	C₂²⋊C₄	—	10	1	no	—
1583	C₂²⋊C₄	—	10	1	no	—
1584	C₂²⋊C₄	—	10	1	no	—
1585	C₂²⋊C₄	—	10	1	no	—
1586	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1587	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1588	C₄²	—	2	1	no	—
1589	C₄²	—	2	1	no	—
1590	C₄²	—	5	1	no	—
1591	C₄²	—	10	1	no	—
1592	C₄²	—	10	1	no	—
1593	C₄²	—	10	1	no	—
1594	C₄²	—	10	1	no	—
1595	C₄²	—	10	1	no	—
1596	C₄²	—	10	1	no	—
1597	C₄²	—	10	1	no	—
1598	C₄²	—	10	1	no	—
1599	C₄²	—	10	1	no	—
1600	C₄²	—	10	1	no	—
1601	C₄²	C₂³×D₅	1	1	yes	characteristic
1602	C₂×C₅	—	4	1	no	—
1603	C₂×C₅	—	4	2	no	—
1604	C₂×C₅	—	4	1	no	—
1605	C₂×C₅	C₂×#546	1	1	yes	characteristic
1606	C₂×C₅	C₂×#578	1	1	yes	characteristic
1607	C₂×C₅	#3584	1	1	yes	characteristic
1608	D₅	—	2	2	no	—
1609	D₅	—	2	2	no	—
1610	D₅	—	4	1	no	—
1611	D₅	—	8	1	no	—
1612	C₂³	—	2	1	no	—
1613	C₂³	—	5	1	no	—
1614	C₂³	—	5	1	no	—
1615	C₂³	—	5	1	no	—
1616	C₂³	—	10	2	no	—
1617	C₂³	—	10	2	no	—
1618	C₂³	—	10	1	no	—
1619	C₂³	—	20	1	no	—
1620	C₂³	—	20	2	no	—
1621	C₂³	—	20	2	no	—
1622	C₂³	—	40	1	no	—
1623	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1624	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1625	Q₈	—	2	1	no	—
1626	Q₈	—	2	1	no	—
1627	Q₈	—	2	1	no	—
1628	Q₈	—	2	1	no	—
1629	Q₈	—	2	1	no	—
1630	Q₈	—	2	1	no	—
1631	Q₈	—	5	2	no	—
1632	Q₈	—	10	2	no	—
1633	Q₈	—	10	1	no	—
1634	Q₈	—	10	1	no	—
1635	Q₈	—	10	1	no	—
1636	Q₈	—	10	1	no	—
1637	Q₈	—	10	1	no	—
1638	Q₈	—	20	2	no	—
1639	Q₈	—	20	2	no	—
1640	Q₈	—	20	2	no	—
1641	Q₈	—	20	2	no	—
1642	Q₈	—	20	2	no	—
1643	Q₈	—	40	1	no	—
1644	Q₈	—	40	1	no	—
1645	D₄	—	2	1	no	—
1646	D₄	—	4	1	no	—
1647	D₄	—	4	2	no	—
1648	D₄	—	4	2	no	—
1649	D₄	—	10	2	no	—
1650	D₄	—	10	2	no	—
1651	D₄	—	10	2	no	—
1652	D₄	—	10	2	no	—
1653	D₄	—	10	2	no	—
1654	D₄	—	10	4	no	—
1655	D₄	—	10	1	no	—
1656	D₄	—	10	1	no	—
1657	D₄	—	20	2	no	—
1658	D₄	—	20	1	no	—
1659	D₄	—	20	2	no	—
1660	D₄	—	20	2	no	—
1661	D₄	—	20	2	no	—
1662	D₄	—	40	1	no	—
1663	D₄	—	40	1	no	—
1664	D₄	D₅×#41	1	2	yes	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	4	2	no	—
1677	C₂×C₄	—	4	2	no	—
1678	C₂×C₄	—	5	1	no	—
1679	C₂×C₄	—	5	2	no	—
1680	C₂×C₄	—	5	2	no	—
1681	C₂×C₄	—	5	1	no	—
1682	C₂×C₄	—	5	1	no	—
1683	C₂×C₄	—	5	1	no	—
1684	C₂×C₄	—	5	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	10	2	no	—
1688	C₂×C₄	—	10	2	no	—
1689	C₂×C₄	—	10	2	no	—
1690	C₂×C₄	—	10	4	no	—
1691	C₂×C₄	—	10	1	no	—
1692	C₂×C₄	—	10	1	no	—
1693	C₂×C₄	—	10	1	no	—
1694	C₂×C₄	—	10	1	no	—
1695	C₂×C₄	—	10	1	no	—
1696	C₂×C₄	—	10	1	no	—
1697	C₂×C₄	—	10	1	no	—
1698	C₂×C₄	—	10	1	no	—
1699	C₂×C₄	—	10	1	no	—
1700	C₂×C₄	—	10	1	no	—
1701	C₂×C₄	—	10	1	no	—
1702	C₂×C₄	—	20	2	no	—
1703	C₂×C₄	—	20	2	no	—
1704	C₂×C₄	—	20	2	no	—
1705	C₂×C₄	—	20	2	no	—
1706	C₂×C₄	—	20	2	no	—
1707	C₂×C₄	—	20	2	no	—
1708	C₂×C₄	—	20	2	no	—
1709	C₂×C₄	—	20	2	no	—
1710	C₂×C₄	—	20	2	no	—
1711	C₂×C₄	—	40	1	no	—
1712	C₂×C₄	—	40	1	no	—
1713	C₂×C₄	—	40	1	no	—
1714	C₂×C₄	—	40	1	no	—
1715	C₂×C₄	—	40	1	no	—
1716	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1717	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1718	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1719	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1720	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1721	C₈	—	2	1	no	—
1722	C₈	—	2	1	no	—
1723	C₈	—	2	1	no	—
1724	C₈	—	2	1	no	—
1725	C₈	—	10	1	no	—
1726	C₈	—	10	1	no	—
1727	C₈	—	10	1	no	—
1728	C₈	—	10	1	no	—
1729	C₅	#61173	1	1	yes	characteristic, complemented, Sylow
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	2	2	no	—
1733	C₂²	—	2	1	no	—
1734	C₂²	—	2	1	no	—
1735	C₂²	—	2	1	no	—
1736	C₂²	—	2	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	5	2	no	—
1740	C₂²	—	5	2	no	—
1741	C₂²	—	10	1	no	—
1742	C₂²	—	10	1	no	—
1743	C₂²	—	10	1	no	—
1744	C₂²	—	10	1	no	—
1745	C₂²	—	10	1	no	—
1746	C₂²	—	10	1	no	—
1747	C₂²	—	10	1	no	—
1748	C₂²	—	20	4	no	—
1749	C₂²	—	20	1	no	—
1750	C₂²	—	20	1	no	—
1751	C₂²	—	20	1	no	—
1752	C₂²	—	40	4	no	—
1753	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	4	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	—	4	1	no	—
1761	C₄	—	4	1	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	4	1	no	—
1765	C₄	—	5	2	no	—
1766	C₄	—	10	1	no	—
1767	C₄	—	10	1	no	—
1768	C₄	—	10	2	no	—
1769	C₄	—	10	1	no	—
1770	C₄	—	10	1	no	—
1771	C₄	—	20	1	no	—
1772	C₄	—	20	1	no	—
1773	C₄	—	20	1	no	—
1774	C₄	—	20	1	no	—
1775	C₄	—	20	1	no	—
1776	C₄	—	20	1	no	—
1777	C₄	C₂×D₅×#41	1	1	yes	characteristic
1778	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1779	C₂	—	4	1	no	—
1780	C₂	—	4	1	no	—
1781	C₂	—	4	2	no	—
1782	C₂	—	10	2	no	—
1783	C₂	—	10	2	no	—
1784	C₂	—	20	1	no	—
1785	C₂	—	40	1	no	—
1786	C₂	D₅×#546	1	1	yes	characteristic
1787	C₂	#10619100	1	1	yes	characteristic
1788	C₂	D₅×#578	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3315	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618578	C₂
hypercenter	#3315	D₅
hypocenter	C₅	#61173
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3315

Complements

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

N	H ≅ G/N	type
1. #10618732	C₂	semidirect
3. C₅×#3315	C₂	semidirect
4. #10615333	C₂	semidirect
5. #10615241	C₂	semidirect
6. #10613480	C₂	semidirect
7. #10613469	C₂	semidirect
8. #10613255	C₂	semidirect
9. #10613248	C₂	semidirect
10. #10613221	C₂	semidirect
11. #10613202	C₂	semidirect
12. #10612917	C₂	semidirect
13. #10612901	C₂	semidirect
14. #10612646	C₂	semidirect
15. #10612638	C₂	semidirect
16. #10612514	C₂	semidirect
17. D₅×#467	C₂	semidirect
18. #10612222	C₂	semidirect
19. #10612209	C₂	semidirect
20. #10611979	C₂	semidirect
21. #10611977	C₂	semidirect
22. #10611961	C₂	semidirect
23. #10611959	C₂	semidirect
24. #10611533	C₂	semidirect
25. #10611507	C₂	semidirect
26. #10611243	C₂	semidirect
27. #10611209	C₂	semidirect
28. #10610629	C₂	semidirect
29. #10610614	C₂	semidirect
30. #10610588	C₂	semidirect
31. D₅×#416	C₂	semidirect
34. C₅×#552	C₂²	semidirect
39. C₂×D₅×Q₁₆	C₂²	semidirect
41. C₂×#4053	C₂²	semidirect
49. #66023	C₂²	semidirect
57. #65975	C₂²	semidirect
62. #65962	C₂²	semidirect
68. #65906	C₂²	semidirect
73. #65876	C₂²	semidirect
75. #65863	C₂²	semidirect
81. #65838	C₂²	semidirect
82. C₅×#491	C₂²	semidirect
83. C₅×#485	C₂²	semidirect
84. C₅×#484	C₂²	semidirect
85. C₅×#478	C₂²	semidirect
86. C₅×#470	C₂²	semidirect
87. C₅×#467	C₂²	semidirect
88. C₅×#462	C₂²	semidirect
90. C₅×#452	C₂²	semidirect
91. C₅×#440	C₂²	semidirect
92. C₅×#435	C₂²	semidirect
93. C₅×#417	C₂²	semidirect
96. #65528	C₂²	semidirect
98. #65522	C₂²	semidirect
100. #65477	C₂²	semidirect
102. #65475	C₂²	semidirect
103. #65474	C₂²	semidirect
104. #65471	C₂²	semidirect
105. #65462	C₂²	semidirect
107. SD₁₆×Dic₅	C₂²	semidirect
108. #65423	C₂²	semidirect
110. #65409	C₂²	semidirect
111. #65405	C₂²	semidirect
113. #65400	C₂²	semidirect
114. #65379	C₂²	semidirect
115. #65370	C₂²	semidirect
116. #65357	C₂²	semidirect
117. #65352	C₂²	semidirect
118. #65340	C₂²	semidirect
119. #65340	C₂²	semidirect
120. #65340	C₂²	semidirect
121. #65339	C₂²	semidirect
122. #65337	C₂²	semidirect
124. #65334	C₂²	semidirect
125. #65334	C₂²	semidirect
126. C₄×#689	C₂²	semidirect
127. #65317	C₂²	semidirect
128. C₄×#687	C₂²	semidirect
129. D₄×#168	C₂²	semidirect
130. #65296	C₂²	semidirect
132. #65285	C₂²	semidirect
133. C₂×#3942	C₂²	semidirect
134. #65256	C₂²	semidirect
136. #65174	C₂²	semidirect
138. #65171	C₂²	semidirect
139. #65170	C₂²	semidirect
140. D₅×#107	C₂²	semidirect
141. #65164	C₂²	semidirect
142. #65162	C₂²	semidirect
143. #65153	C₂²	semidirect
145. #65150	C₂²	semidirect
146. #65146	C₂²	semidirect
147. #65139	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65128	C₂²	semidirect
151. #65105	C₂²	semidirect
152. #65104	C₂²	semidirect
155. #65101	C₂²	semidirect
157. #65098	C₂²	semidirect
159. #65097	C₂²	semidirect
164. #65091	C₂²	semidirect
165. #65091	C₂²	semidirect
166. #65091	C₂²	semidirect
169. D₅×#103	C₂²	semidirect
170. D₅×#103	C₂²	semidirect
171. D₅×#103	C₂²	semidirect
172. #65089	C₂²	semidirect
173. #65087	C₂²	semidirect
174. #65086	C₂²	semidirect
175. #65084	C₂²	semidirect
176. #65082	C₂²	semidirect
177. #65081	C₂²	semidirect
178. #65078	C₂²	semidirect
179. #65072	C₂²	semidirect
183. #65061	C₂²	semidirect
185. #65060	C₂²	semidirect
188. #65055	C₂²	semidirect
189. #65048	C₂²	semidirect
190. #65046	C₂²	semidirect
191. #65028	C₂²	semidirect
192. #65026	C₂²	semidirect
194. #65016	C₂²	semidirect
197. #65014	C₂²	semidirect
198. #65012	C₂²	semidirect
199. #65005	C₂²	semidirect
200. #65003	C₂²	semidirect
201. #64997	C₂²	semidirect
491. #3315	D₅	semidirect
766. #552	C₂×D₅	semidirect
801. #491	C₂×D₅	semidirect
813. #485	C₂×D₅	semidirect
817. #484	C₂×D₅	semidirect
827. #478	C₂×D₅	semidirect
833. #470	C₂×D₅	semidirect
845. #467	C₂×D₅	semidirect
855. #462	C₂×D₅	semidirect
863. #452	C₂×D₅	semidirect
875. #440	C₂×D₅	semidirect
883. #435	C₂×D₅	semidirect
899. #417	C₂×D₅	semidirect
1729. C₅	#61173	semidirect

Maximal subgroups

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

subgroup	index
#10618732	2
#10618578	2
C₅×#3315	2
#10615333	2
#10615241	2
#10613480	2
#10613469	2
#10613255	2
#10613248	2
#10613221	2
#10613202	2
#10612917	2
#10612901	2
#10612646	2
#10612638	2
#10612514	2
D₅×#467	2
#10612222	2
#10612209	2
#10611979	2
#10611977	2
#10611961	2
#10611959	2
#10611533	2
#10611507	2
#10611243	2
#10611209	2
#10610629	2
#10610614	2
#10610588	2
D₅×#416	2
#61173	5