Subgroups — #12306151

Order 1280.

2422 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#66023	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₅×#123	C₂	1	1	yes	maximal, characteristic
3	C₅×#2694	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614777	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614601	C₂	1	1	yes	maximal, characteristic, complemented
6	#10609841	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609836	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609795	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609794	C₂	1	1	yes	maximal, characteristic, complemented
10	#10609692	C₂	1	1	yes	maximal, characteristic, complemented
11	#10609579	C₂	1	1	yes	maximal, characteristic, complemented
12	#10609407	C₂	1	1	yes	maximal, characteristic, complemented
13	#10609306	C₂	1	1	yes	maximal, characteristic, complemented
14	#10609158	C₂	1	1	yes	maximal, characteristic, complemented
15	#10609155	C₂	1	1	yes	maximal, characteristic, complemented
16	#10608733	C₂	1	1	yes	maximal, characteristic, complemented
17	#10608636	C₂	1	1	yes	maximal, characteristic
18	#10608114	C₂	1	1	yes	maximal, characteristic, complemented
19	#10608046	C₂	1	1	yes	maximal, characteristic
20	#10607989	C₂	1	1	yes	maximal, characteristic, complemented
21	#10607978	C₂	1	1	yes	maximal, characteristic, complemented
22	#10607646	C₂	1	1	yes	maximal, characteristic, complemented
23	#10607597	C₂	1	1	yes	maximal, characteristic, complemented
24	#10607597	C₂	1	1	yes	maximal, characteristic, complemented
25	#10607397	C₂	1	1	yes	maximal, characteristic, complemented
26	#10607119	C₂	1	1	yes	maximal, characteristic, complemented
27	#10607027	C₂	1	1	yes	maximal, characteristic, complemented
28	#10606386	C₂	1	1	yes	maximal, characteristic, complemented
29	#10606239	C₂	1	1	yes	maximal, characteristic, complemented
30	#10605780	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605693	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
34	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₅×#123	C₂²	1	1	yes	characteristic
36	C₂×#4082	C₂²	1	1	yes	characteristic
37	C₂×#4081	C₂²	1	1	yes	characteristic
38	C₂×#4075	C₂²	1	1	yes	characteristic
39	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
40	#66023	—	2	8	no	—
41	D₅×#123	—	2	8	no	—
42	C₂×#4043	C₂²	1	1	yes	characteristic
43	C₂×#4043	C₂²	1	1	yes	characteristic
44	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4042	C₂²	1	1	yes	characteristic
46	C₂×#4042	C₂²	1	1	yes	characteristic
47	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
48	C₂×#4040	C₂²	1	1	yes	characteristic
49	C₂×#4040	C₂²	1	1	yes	characteristic
50	C₂×#4038	C₂²	1	1	yes	characteristic
51	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
52	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
53	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
54	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
55	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
56	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
57	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
58	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
59	C₂×#4032	C₂²	1	1	yes	characteristic
60	C₂×#4031	C₂²	1	1	yes	characteristic
61	C₂×#4031	C₂²	1	1	yes	characteristic
62	C₂×#4029	C₂²	1	1	yes	characteristic
63	C₂×#4029	C₂²	1	1	yes	characteristic
64	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
65	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
67	C₂×#4024	C₂²	1	1	yes	characteristic, complemented
68	C₂×#4021	C₂²	1	1	yes	characteristic
69	C₂×#4018	C₂²	1	1	yes	characteristic
70	C₂×#4015	C₂²	1	1	yes	characteristic, complemented
71	C₅×#399	C₂²	1	1	yes	characteristic, complemented
72	C₅×#399	C₂²	1	1	yes	characteristic, complemented
73	C₅×#398	C₂²	1	1	yes	characteristic, complemented
74	C₅×#397	C₂²	1	1	yes	characteristic, complemented
75	C₅×#396	C₂²	1	1	yes	characteristic, complemented
76	C₅×#394	C₂²	1	1	yes	characteristic
77	C₅×#390	C₂²	1	1	yes	characteristic
78	C₅×#389	C₂²	1	1	yes	characteristic, complemented
79	C₅×#388	C₂²	1	1	yes	characteristic, complemented
80	C₅×#388	C₂²	1	1	yes	characteristic, complemented
81	C₅×#387	C₂²	1	1	yes	characteristic, complemented
82	C₅×#385	C₂²	1	1	yes	characteristic, complemented
83	C₅×#380	C₂²	1	1	yes	characteristic, complemented
84	#65511	C₂²	1	1	yes	characteristic
85	#65499	C₂²	1	1	yes	characteristic, complemented
86	#65283	C₂²	1	1	yes	characteristic, complemented
87	#65283	C₂²	1	1	yes	characteristic, complemented
88	#65283	C₂²	1	1	yes	characteristic, complemented
89	#65283	C₂²	1	1	yes	characteristic, complemented
90	#65282	C₂²	1	1	yes	characteristic, complemented
91	#65281	C₂²	1	1	yes	characteristic, complemented
92	#65281	C₂²	1	1	yes	characteristic, complemented
93	#65281	C₂²	1	1	yes	characteristic, complemented
94	#65281	C₂²	1	1	yes	characteristic, complemented
95	#65281	C₂²	1	1	yes	characteristic, complemented
96	#65280	C₂²	1	1	yes	characteristic
97	#65279	C₂²	1	1	yes	characteristic, complemented
98	#65279	C₂²	1	1	yes	characteristic, complemented
99	#65278	C₂²	1	1	yes	characteristic
100	#65278	C₂²	1	1	yes	characteristic
101	#65278	C₂²	1	1	yes	characteristic
102	#65278	C₂²	1	1	yes	characteristic
103	#65278	C₂²	1	1	yes	characteristic, complemented
104	#65277	C₂²	1	1	yes	characteristic
105	#65276	C₂²	1	1	yes	characteristic
106	#65276	C₂²	1	1	yes	characteristic, complemented
107	#65274	C₂²	1	1	yes	characteristic, complemented
108	#65274	C₂²	1	1	yes	characteristic, complemented
109	#65273	C₂²	1	1	yes	characteristic, complemented
110	#65270	C₂²	1	1	yes	characteristic, complemented
111	#65269	C₂²	1	1	yes	characteristic, complemented
112	#65268	C₂²	1	1	yes	characteristic, complemented
113	#65268	C₂²	1	1	yes	characteristic, complemented
114	#65267	C₂²	1	1	yes	characteristic, complemented
115	#65261	C₂²	1	1	yes	characteristic, complemented
116	#65261	C₂²	1	1	yes	characteristic, complemented
117	#65250	C₂²	1	1	yes	characteristic
118	#65250	C₂²	1	1	yes	characteristic
119	#65250	C₂²	1	1	yes	characteristic
120	#65250	C₂²	1	1	yes	characteristic
121	#65246	C₂²	1	1	yes	characteristic
122	#65246	C₂²	1	1	yes	characteristic
123	#65244	C₂²	1	1	yes	characteristic
124	#65244	C₂²	1	1	yes	characteristic
125	#65244	C₂²	1	1	yes	characteristic
126	#65244	C₂²	1	1	yes	characteristic
127	#65244	C₂²	1	1	yes	characteristic
128	#65244	C₂²	1	1	yes	characteristic
129	#65244	C₂²	1	1	yes	characteristic
130	#65244	C₂²	1	1	yes	characteristic
131	#65242	C₂²	1	1	yes	characteristic, complemented
132	#65241	C₂²	1	1	yes	characteristic, complemented
133	#65241	C₂²	1	1	yes	characteristic, complemented
134	#65240	C₂²	1	1	yes	characteristic, complemented
135	#65240	C₂²	1	1	yes	characteristic, complemented
136	#65239	C₂²	1	1	yes	characteristic, complemented
137	#65239	C₂²	1	1	yes	characteristic, complemented
138	#65238	C₂²	1	1	yes	characteristic, complemented
139	#65238	C₂²	1	1	yes	characteristic, complemented
140	#65238	C₂²	1	1	yes	characteristic, complemented
141	#65238	C₂²	1	1	yes	characteristic, complemented
142	#65237	C₂²	1	1	yes	characteristic, complemented
143	#65237	C₂²	1	1	yes	characteristic, complemented
144	#65237	C₂²	1	1	yes	characteristic, complemented
145	#65236	C₂²	1	1	yes	characteristic, complemented
146	#65236	C₂²	1	1	yes	characteristic, complemented
147	#65234	C₂²	1	1	yes	characteristic, complemented
148	#65234	C₂²	1	1	yes	characteristic, complemented
149	#65233	C₂²	1	1	yes	characteristic, complemented
150	#65233	C₂²	1	1	yes	characteristic, complemented
151	#65231	C₂²	1	1	yes	characteristic, complemented
152	#65229	C₂²	1	1	yes	characteristic, complemented
153	#65229	C₂²	1	1	yes	characteristic, complemented
154	C₄×#685	C₂²	1	1	yes	characteristic
155	#65222	C₂²	1	1	yes	characteristic, complemented
156	#65217	C₂²	1	1	yes	characteristic, complemented
157	#64966	C₂²	1	1	yes	characteristic, complemented
158	#64964	C₂²	1	1	yes	characteristic, complemented
159	#64964	C₂²	1	1	yes	characteristic, complemented
160	#64963	C₂²	1	1	yes	characteristic, complemented
161	#64962	C₂²	1	1	yes	characteristic, complemented
162	#64962	C₂²	1	1	yes	characteristic, complemented
163	#64961	C₂²	1	1	yes	characteristic
164	#64959	C₂²	1	1	yes	characteristic, complemented
165	#64959	C₂²	1	1	yes	characteristic, complemented
166	#64958	C₂²	1	1	yes	characteristic, complemented
167	#64958	C₂²	1	1	yes	characteristic, complemented
168	#64957	C₂²	1	1	yes	characteristic
169	#64957	C₂²	1	1	yes	characteristic
170	#64957	C₂²	1	1	yes	characteristic
171	#64957	C₂²	1	1	yes	characteristic
172	#64957	C₂²	1	1	yes	characteristic, complemented
173	#64957	C₂²	1	1	yes	characteristic, complemented
174	#64957	C₂²	1	1	yes	characteristic, complemented
175	#64956	C₂²	1	1	yes	characteristic
176	#64956	C₂²	1	1	yes	characteristic, complemented
177	#64955	C₂²	1	1	yes	characteristic
178	#64953	C₂²	1	1	yes	characteristic
179	#64953	C₂²	1	1	yes	characteristic
180	#64946	C₂²	1	1	yes	characteristic, complemented
181	#64945	C₂²	1	1	yes	characteristic, complemented
182	#64945	C₂²	1	1	yes	characteristic, complemented
183	#64944	C₂²	1	1	yes	characteristic, complemented
184	#64943	C₂²	1	1	yes	characteristic, complemented
185	#64942	C₂²	1	1	yes	characteristic, complemented
186	#64941	C₂²	1	1	yes	characteristic, complemented
187	#64936	C₂²	1	1	yes	characteristic, complemented
188	#64936	C₂²	1	1	yes	characteristic, complemented
189	#36711	—	5	1	no	maximal, Sylow
190	C₂⁴×D₅	C₂³	1	1	yes	characteristic
191	C₂⁴×D₅	C₂³	1	1	yes	characteristic
192	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
196	C₂³×Dic₅	C₂³	1	1	yes	characteristic
197	C₂×D₄×D₅	—	2	4	no	—
198	C₂×D₄×D₅	—	4	2	no	—
199	C₂×D₄×D₅	—	4	2	no	—
200	C₂²×D₂₀	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₅	—	2	4	no	—
202	C₂²×C₄×D₅	—	4	2	no	—
203	C₂²×C₄×D₅	—	4	2	no	—
204	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
211	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
212	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
213	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
214	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
215	C₅×#125	—	2	4	no	—
216	C₅×#123	—	2	4	no	—
217	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
253	#4082	—	4	2	no	—
254	#4081	—	2	4	no	—
255	#4075	—	2	4	no	—
256	C₂×#685	C₂³	1	1	yes	characteristic
257	C₂×#685	C₂³	1	1	yes	characteristic
258	C₂×#685	C₂³	1	1	yes	characteristic
259	C₂×#685	C₂³	1	1	yes	characteristic
260	C₂×#685	C₂³	1	1	yes	characteristic
261	C₂×#685	C₂³	1	1	yes	characteristic
262	C₂×#685	C₂³	1	1	yes	characteristic
263	C₂×#685	C₂³	1	1	yes	characteristic
264	C₂×#685	C₂³	1	1	yes	characteristic
265	C₂×#685	C₂³	1	1	yes	characteristic
266	C₂×#685	C₂³	1	1	yes	characteristic
267	C₂×#685	C₂³	1	1	yes	characteristic
268	C₂×#685	C₂³	1	1	yes	characteristic
269	C₂×#685	C₂³	1	1	yes	characteristic
270	C₂×#685	C₂³	1	1	yes	characteristic
271	C₂×#685	C₂³	1	1	yes	characteristic
272	C₂×#685	C₂³	1	1	yes	characteristic
273	C₂×#685	C₂³	1	1	yes	characteristic
274	C₂×#685	C₂³	1	1	yes	characteristic
275	C₂×#685	C₂³	1	1	yes	characteristic
276	C₂×#685	C₂³	1	1	yes	characteristic
277	C₂×#685	C₂³	1	1	yes	characteristic
278	C₂×#685	C₂³	1	1	yes	characteristic
279	C₂×#685	C₂³	1	1	yes	characteristic
280	C₂×#685	C₂³	1	1	yes	characteristic
281	C₂×#685	C₂³	1	1	yes	characteristic
282	C₂×#685	C₂³	1	1	yes	characteristic
283	C₂×#685	C₂³	1	1	yes	characteristic
284	C₂×#685	C₂³	1	1	yes	characteristic
285	C₂×#685	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
298	#4070	—	4	2	no	—
299	C₂×#683	C₂³	1	1	yes	characteristic
300	C₂×#683	C₂³	1	1	yes	characteristic
301	C₂×#683	C₂³	1	1	yes	characteristic
302	C₂×#683	C₂³	1	1	yes	characteristic
303	C₂×#683	C₂³	1	1	yes	characteristic
304	C₂×#683	C₂³	1	1	yes	characteristic
305	C₂×#683	C₂³	1	1	yes	characteristic
306	C₂×#683	C₂³	1	1	yes	characteristic
307	C₂×#683	C₂³	1	1	yes	characteristic
308	C₂×#683	C₂³	1	1	yes	characteristic
309	C₂×#683	C₂³	1	1	yes	characteristic
310	C₂×#683	C₂³	1	1	yes	characteristic
311	C₂×#683	C₂³	1	1	yes	characteristic
312	C₂×#683	C₂³	1	1	yes	characteristic
313	C₂×#683	C₂³	1	1	yes	characteristic
314	C₂×#683	C₂³	1	1	yes	characteristic
315	C₂×#683	C₂³	1	1	yes	characteristic
316	C₂×#683	C₂³	1	1	yes	characteristic
317	C₂×#683	C₂³	1	1	yes	characteristic
318	C₂×#683	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
322	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
324	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
325	#4043	—	2	4	no	—
326	#4043	—	2	4	no	—
327	#4043	—	4	2	no	—
328	#4042	—	2	4	no	—
329	#4042	—	2	4	no	—
330	#4042	—	4	2	no	—
331	#4040	—	2	4	no	—
332	#4040	—	2	4	no	—
333	#4038	—	2	4	no	—
334	D₅×C₄⋊C₄	—	2	4	no	—
335	D₅×C₄⋊C₄	D₄	1	8	yes	—
336	#4036	—	2	4	no	—
337	#4035	—	2	4	no	—
338	#4035	—	2	4	no	—
339	#4034	—	2	4	no	—
340	#4034	—	2	4	no	—
341	#4034	—	2	4	no	—
342	#4032	—	2	4	no	—
343	#4031	—	4	2	no	—
344	#4031	—	4	2	no	—
345	#4029	—	2	4	no	—
346	#4029	—	2	4	no	—
347	D₅×C₂²⋊C₄	—	2	4	no	—
348	D₅×C₂²⋊C₄	—	2	4	no	—
349	D₅×C₂²⋊C₄	—	2	4	no	—
350	#4024	—	4	2	no	—
351	#4021	—	4	2	no	—
352	#4018	—	2	4	no	—
353	#4015	—	2	4	no	—
354	C₅×#95	C₂³	1	1	yes	characteristic
355	C₅×#95	C₂³	1	1	yes	characteristic
356	C₅×#95	C₂³	1	1	yes	characteristic
357	C₅×#95	C₂³	1	1	yes	characteristic
358	C₅×#95	C₂³	1	1	yes	characteristic
359	C₅×#95	C₂³	1	1	yes	characteristic
360	C₅×#95	C₂³	1	1	yes	characteristic
361	C₅×#95	C₂³	1	1	yes	characteristic
362	#3963	C₂³	1	1	yes	characteristic
363	#3963	C₂³	1	1	yes	characteristic
364	#3963	C₂³	1	1	yes	characteristic
365	#3963	C₂³	1	1	yes	characteristic
366	#3963	C₂³	1	1	yes	characteristic
367	#3963	C₂³	1	1	yes	characteristic
368	#3963	C₂³	1	1	yes	characteristic
369	#3963	C₂³	1	1	yes	characteristic
370	#3963	C₂³	1	1	yes	characteristic
371	#3963	C₂³	1	1	yes	characteristic
372	#3963	C₂³	1	1	yes	characteristic
373	#3963	C₂³	1	1	yes	characteristic
374	#3963	C₂³	1	1	yes	characteristic
375	#3963	C₂³	1	1	yes	characteristic
376	#3963	C₂³	1	1	yes	characteristic
377	#3963	C₂³	1	1	yes	characteristic
378	#3963	C₂³	1	1	yes	characteristic
379	#3963	C₂³	1	1	yes	characteristic
380	#3963	C₂³	1	1	yes	characteristic
381	#3963	C₂³	1	1	yes	characteristic
382	#3963	C₂³	1	1	yes	characteristic
383	#3963	C₂³	1	1	yes	characteristic
384	#3963	C₂³	1	1	yes	characteristic
385	#3963	C₂³	1	1	yes	characteristic
386	C₂×#544	—	5	1	no	—
387	C₂²×#123	—	5	1	no	—
388	#2848	—	5	1	no	—
389	#2848	—	5	1	no	—
390	#2694	—	5	1	no	—
391	#2694	—	5	1	no	—
392	#2694	—	5	1	no	—
393	#2694	—	5	1	no	—
394	#2694	—	5	1	no	—
395	#2694	—	5	1	no	—
396	#2694	—	5	1	no	—
397	#2694	D₅	1	1	yes	characteristic, complemented
398	#2674	—	5	1	no	—
399	#2674	—	5	1	no	—
400	#2674	—	5	1	no	—
401	#2674	—	5	1	no	—
402	#2674	—	5	1	no	—
403	#2674	—	5	1	no	—
404	#2674	—	5	1	no	—
405	#2674	—	5	1	no	—
406	#2626	—	5	1	no	—
407	#2626	—	5	1	no	—
408	#2583	—	5	1	no	—
409	#2583	—	5	1	no	—
410	#2482	—	5	1	no	—
411	#2482	—	5	1	no	—
412	#2482	—	5	1	no	—
413	#2482	—	5	1	no	—
414	#2435	—	5	1	no	—
415	#2435	—	5	1	no	—
416	#2313	—	5	1	no	—
417	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
418	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
419	C₂³×D₅	—	2	2	no	—
420	C₂³×D₅	—	2	2	no	—
421	C₂³×D₅	—	2	2	no	—
422	C₂³×D₅	—	2	2	no	—
423	C₂³×D₅	—	2	2	no	—
424	C₂³×D₅	—	2	2	no	—
425	C₂³×D₅	—	2	2	no	—
426	C₂³×D₅	—	2	2	no	—
427	C₂³×D₅	—	4	1	no	—
428	C₂³×D₅	—	4	1	no	—
429	C₂³×D₅	—	4	1	no	—
430	C₂³×D₅	—	4	1	no	—
431	C₂³×D₅	—	4	1	no	—
432	C₂³×D₅	—	4	1	no	—
433	C₂³×D₅	C₂⁴	1	1	yes	characteristic
434	C₂³×D₅	C₂⁴	1	1	yes	characteristic
435	C₂³×D₅	C₂⁴	1	1	yes	characteristic
436	C₂×C₅×D₄	—	2	2	no	—
437	C₂×C₅×D₄	—	2	2	no	—
438	C₂×C₅×D₄	—	4	1	no	—
439	C₂²×C₄×C₅	—	2	2	no	—
440	C₂²×C₄×C₅	—	2	2	no	—
441	C₂²×C₄×C₅	—	4	1	no	—
442	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
455	C₂×C₂²⋊D₅	—	2	2	no	—
456	C₂×C₂²⋊D₅	—	2	2	no	—
457	C₂×C₂²⋊D₅	—	2	2	no	—
458	C₂×C₂²⋊D₅	—	2	2	no	—
459	C₂×C₂²⋊D₅	—	4	1	no	—
460	C₂×C₂²⋊D₅	—	4	1	no	—
461	C₂²×Dic₅	—	2	2	no	—
462	C₂²×Dic₅	—	2	2	no	—
463	C₂²×Dic₅	—	4	1	no	—
464	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
466	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
467	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
468	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
469	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
470	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
471	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
472	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
473	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
474	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
475	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
476	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
477	D₄×D₅	—	4	16	no	—
478	C₂×D₂₀	—	2	2	no	—
479	C₂×D₂₀	—	2	2	no	—
480	C₂×D₂₀	—	4	1	no	—
481	C₂×C₄×D₅	—	2	2	no	—
482	C₂×C₄×D₅	—	2	2	no	—
483	C₂×C₄×D₅	—	2	2	no	—
484	C₂×C₄×D₅	—	2	2	no	—
485	C₂×C₄×D₅	—	2	2	no	—
486	C₂×C₄×D₅	—	2	2	no	—
487	C₂×C₄×D₅	—	2	2	no	—
488	C₂×C₄×D₅	—	2	2	no	—
489	C₂×C₄×D₅	—	4	1	no	—
490	C₂×C₄×D₅	—	4	1	no	—
491	C₂×C₄×D₅	—	4	1	no	—
492	C₂×C₄×D₅	—	4	1	no	—
493	C₂×C₄×D₅	—	4	1	no	—
494	C₂×C₄×D₅	—	4	1	no	—
495	C₂×C₄×D₅	—	4	1	no	—
496	C₂×C₄×D₅	—	4	1	no	—
497	C₂×C₄×D₅	—	4	1	no	—
498	C₂×C₄×D₅	—	4	1	no	—
499	C₂×C₄×D₅	—	4	16	no	—
500	C₂×C₄×D₅	C₂×D₄	1	4	yes	—
501	C₂×C₄×D₅	C₂×D₄	1	4	yes	—
502	C₂×C₄×D₅	C₂×D₄	1	4	yes	—
503	C₂×Dic₁₀	—	2	2	no	—
504	C₂×Dic₁₀	—	2	2	no	—
505	C₂×Dic₁₀	—	2	2	no	—
506	C₂×Dic₁₀	—	2	2	no	—
507	C₂×Dic₁₀	—	4	1	no	—
508	C₂×Dic₁₀	—	4	1	no	—
509	C₂×Dic₁₀	—	4	1	no	—
510	C₂×Dic₁₀	—	4	1	no	—
511	C₂×Dic₁₀	—	4	1	no	—
512	C₂×Dic₁₀	—	4	1	no	—
513	C₂×Dic₁₀	—	4	1	no	—
514	C₂×Dic₁₀	—	4	1	no	—
515	C₅×C₄⋊C₄	—	2	2	no	—
516	C₅×C₄⋊C₄	—	2	2	no	—
517	C₅×C₄⋊C₄	—	2	2	no	—
518	C₅×C₄⋊C₄	—	2	2	no	—
519	C₅×C₄⋊C₄	—	2	2	no	—
520	C₅×C₄⋊C₄	—	2	2	no	—
521	C₅×C₄⋊C₄	—	4	1	no	—
522	C₅×C₄⋊C₄	—	4	1	no	—
523	C₅×C₄⋊C₄	—	4	1	no	—
524	C₅×C₄⋊C₄	—	4	1	no	—
525	C₅×C₄⋊C₄	—	4	1	no	—
526	C₅×C₄⋊C₄	C₂×D₄	1	4	yes	—
527	C₅×C₂²⋊C₄	—	2	2	no	—
528	C₅×C₂²⋊C₄	—	2	2	no	—
529	C₅×C₂²⋊C₄	—	2	2	no	—
530	C₅×C₂²⋊C₄	—	2	2	no	—
531	C₅×C₂²⋊C₄	—	4	1	no	—
532	C₅×C₂²⋊C₄	—	4	1	no	—
533	C₅×C₂²⋊C₄	—	4	1	no	—
534	C₅×C₂²⋊C₄	—	4	1	no	—
535	C₅×C₂²⋊C₄	—	4	1	no	—
536	C₅×C₂²⋊C₄	—	4	1	no	—
537	C₅×C₂²⋊C₄	—	4	1	no	—
538	C₄²×C₅	—	2	2	no	—
539	C₄²×C₅	—	4	1	no	—
540	C₂²⋊Dic₅	—	2	2	no	—
541	C₂²⋊Dic₅	—	2	2	no	—
542	C₂²⋊Dic₅	—	2	2	no	—
543	C₂²⋊Dic₅	—	2	2	no	—
544	C₂²⋊Dic₅	—	2	2	no	—
545	C₂²⋊Dic₅	—	2	2	no	—
546	C₂²⋊Dic₅	—	4	1	no	—
547	C₂²⋊Dic₅	—	4	1	no	—
548	C₂²⋊Dic₅	—	4	1	no	—
549	C₂²⋊Dic₅	—	4	1	no	—
550	C₂²⋊Dic₅	—	4	1	no	—
551	#685	—	2	2	no	—
552	#685	—	2	2	no	—
553	#685	—	2	2	no	—
554	#685	—	2	2	no	—
555	#685	—	2	2	no	—
556	#685	—	2	2	no	—
557	#685	—	2	2	no	—
558	#685	—	2	2	no	—
559	#685	—	2	2	no	—
560	#685	—	2	2	no	—
561	#685	—	2	2	no	—
562	#685	—	2	2	no	—
563	#685	—	2	2	no	—
564	#685	—	2	2	no	—
565	#685	—	2	2	no	—
566	#685	—	2	2	no	—
567	#685	—	2	2	no	—
568	#685	—	2	2	no	—
569	#685	—	4	1	no	—
570	#685	—	4	1	no	—
571	#685	—	4	1	no	—
572	#685	—	4	1	no	—
573	#685	—	4	1	no	—
574	#685	—	4	1	no	—
575	#685	—	4	1	no	—
576	#685	—	4	1	no	—
577	#685	—	4	1	no	—
578	#685	—	4	1	no	—
579	#685	—	4	1	no	—
580	#685	—	4	1	no	—
581	C₄⋊Dic₅	—	2	2	no	—
582	C₄⋊Dic₅	—	2	2	no	—
583	C₄⋊Dic₅	—	2	2	no	—
584	C₄⋊Dic₅	—	2	2	no	—
585	C₄⋊Dic₅	—	2	2	no	—
586	C₄⋊Dic₅	—	2	2	no	—
587	C₄⋊Dic₅	—	4	1	no	—
588	C₄⋊Dic₅	—	4	1	no	—
589	C₄⋊Dic₅	—	4	1	no	—
590	C₄⋊Dic₅	—	4	1	no	—
591	C₄⋊Dic₅	—	4	1	no	—
592	C₄⋊Dic₅	C₂×D₄	1	4	yes	—
593	#683	—	2	2	no	—
594	#683	—	2	2	no	—
595	#683	—	2	2	no	—
596	#683	—	2	2	no	—
597	#683	—	2	2	no	—
598	#683	—	2	2	no	—
599	#683	—	2	2	no	—
600	#683	—	2	2	no	—
601	#683	—	4	1	no	—
602	#683	—	4	1	no	—
603	#683	—	4	1	no	—
604	#683	—	4	1	no	—
605	#683	—	4	1	no	—
606	#683	—	4	1	no	—
607	#683	—	4	1	no	—
608	#683	—	4	1	no	—
609	#683	—	4	1	no	—
610	#683	—	4	1	no	—
611	#683	C₂×D₄	1	4	yes	—
612	#683	C₂×D₄	1	4	yes	—
613	C₄×Dic₅	—	2	2	no	—
614	C₄×Dic₅	—	2	2	no	—
615	C₄×Dic₅	—	2	2	no	—
616	C₄×Dic₅	—	4	1	no	—
617	C₄×Dic₅	—	4	1	no	—
618	C₄×Dic₅	—	4	1	no	—
619	C₂³×D₄	—	5	1	no	—
620	C₂⁴×C₄	—	5	1	no	—
621	#544	—	10	8	no	—
622	C₂×C₄⋊Q₈	—	5	1	no	—
623	C₂×C₄⋊Q₈	—	5	1	no	—
624	C₂×C₄⋊Q₈	—	5	1	no	—
625	C₂×C₄⋊Q₈	—	5	1	no	—
626	C₂×#125	—	5	1	no	—
627	C₂×#125	—	5	1	no	—
628	C₂×#125	—	5	1	no	—
629	C₂×#125	C₂×D₅	1	1	yes	characteristic, complemented
630	C₂×#124	—	5	1	no	—
631	C₂×#124	—	5	1	no	—
632	C₂×#124	—	5	1	no	—
633	C₂×#124	—	5	1	no	—
634	C₂×#123	—	5	1	no	—
635	C₂×#123	—	5	1	no	—
636	C₂×#123	—	5	1	no	—
637	C₂×#123	—	5	1	no	—
638	C₂×#123	—	5	1	no	—
639	C₂×#123	—	5	1	no	—
640	C₂×#123	—	5	1	no	—
641	C₂×#123	—	10	8	no	—
642	C₂×#123	C₂×D₅	1	1	yes	characteristic
643	C₂×C₂²⋊Q₈	—	5	1	no	—
644	C₂×C₂²⋊Q₈	—	5	1	no	—
645	C₂×C₂²⋊Q₈	—	5	1	no	—
646	C₂×C₂²⋊Q₈	—	5	1	no	—
647	C₂×C₂²⋊Q₈	—	5	1	no	—
648	C₂×C₂²⋊Q₈	—	5	1	no	—
649	C₂×C₂²⋊Q₈	—	5	1	no	—
650	C₂×C₂²⋊Q₈	—	5	1	no	—
651	C₂×#117	—	5	1	no	—
652	C₂×#117	—	5	1	no	—
653	C₂²×C₄⋊C₄	—	5	1	no	—
654	C₂²×C₄⋊C₄	—	5	1	no	—
655	C₂²×C₂²⋊C₄	—	5	1	no	—
656	C₂²×C₂²⋊C₄	—	5	1	no	—
657	C₂²×C₂²⋊C₄	—	5	1	no	—
658	#399	—	5	1	no	—
659	#399	—	5	1	no	—
660	#399	—	5	1	no	—
661	#399	—	5	1	no	—
662	#399	—	5	1	no	—
663	#399	—	5	1	no	—
664	#399	—	5	1	no	—
665	#399	—	5	1	no	—
666	#399	—	5	1	no	—
667	#399	—	5	1	no	—
668	#399	C₂×D₅	1	1	yes	characteristic, complemented
669	#399	C₂×D₅	1	1	yes	characteristic, complemented
670	#398	—	5	1	no	—
671	#398	—	5	1	no	—
672	#398	—	5	1	no	—
673	#398	C₂×D₅	1	1	yes	characteristic, complemented
674	#397	—	5	1	no	—
675	#397	—	5	1	no	—
676	#397	—	5	1	no	—
677	#397	—	5	1	no	—
678	#397	—	5	1	no	—
679	#397	—	5	1	no	—
680	#397	—	5	1	no	—
681	#397	C₂×D₅	1	1	yes	characteristic, complemented
682	#396	—	5	1	no	—
683	#396	—	5	1	no	—
684	#396	—	5	1	no	—
685	#396	—	5	1	no	—
686	#396	—	5	1	no	—
687	#396	—	5	1	no	—
688	#396	—	5	1	no	—
689	#396	C₂×D₅	1	1	yes	characteristic, complemented
690	#395	—	5	1	no	—
691	#395	—	5	1	no	—
692	#395	—	5	1	no	—
693	#395	—	5	1	no	—
694	#394	—	5	1	no	—
695	#394	—	5	1	no	—
696	#394	—	5	1	no	—
697	#394	—	5	1	no	—
698	#394	—	5	1	no	—
699	#394	—	5	1	no	—
700	#394	—	5	1	no	—
701	#394	C₂×D₅	1	1	yes	characteristic
702	#393	—	5	1	no	—
703	#393	—	5	1	no	—
704	#393	—	5	1	no	—
705	#393	—	5	1	no	—
706	#390	—	5	1	no	—
707	#390	—	5	1	no	—
708	#390	—	5	1	no	—
709	#390	C₂×D₅	1	1	yes	characteristic
710	#389	—	5	1	no	—
711	#389	—	5	1	no	—
712	#389	—	5	1	no	—
713	#389	—	5	1	no	—
714	#389	—	5	1	no	—
715	#389	—	5	1	no	—
716	#389	—	5	1	no	—
717	#389	C₂×D₅	1	1	yes	characteristic, complemented
718	#388	—	5	1	no	—
719	#388	—	5	1	no	—
720	#388	—	5	1	no	—
721	#388	—	5	1	no	—
722	#388	—	5	1	no	—
723	#388	—	5	1	no	—
724	#388	—	5	1	no	—
725	#388	—	5	1	no	—
726	#388	—	5	1	no	—
727	#388	—	5	1	no	—
728	#388	—	5	1	no	—
729	#388	—	5	1	no	—
730	#388	—	5	1	no	—
731	#388	—	5	1	no	—
732	#388	C₂×D₅	1	1	yes	characteristic, complemented
733	#388	C₂×D₅	1	1	yes	characteristic, complemented
734	#387	—	5	1	no	—
735	#387	—	5	1	no	—
736	#387	—	5	1	no	—
737	#387	—	5	1	no	—
738	#387	—	5	1	no	—
739	#387	—	5	1	no	—
740	#387	—	5	1	no	—
741	#387	C₂×D₅	1	1	yes	characteristic, complemented
742	#385	—	5	1	no	—
743	#385	—	5	1	no	—
744	#385	—	5	1	no	—
745	#385	—	5	1	no	—
746	#385	—	5	1	no	—
747	#385	—	5	1	no	—
748	#385	—	5	1	no	—
749	#385	—	5	1	no	—
750	#385	—	5	1	no	—
751	#385	—	5	1	no	—
752	#385	—	5	1	no	—
753	#385	—	5	1	no	—
754	#385	—	5	1	no	—
755	#385	—	5	1	no	—
756	#385	—	5	1	no	—
757	#385	C₂×D₅	1	1	yes	characteristic, complemented
758	#381	—	5	1	no	—
759	#381	—	5	1	no	—
760	#380	—	5	1	no	—
761	#380	—	5	1	no	—
762	#380	—	5	1	no	—
763	#380	—	5	1	no	—
764	#380	—	5	1	no	—
765	#380	C₂×D₅	1	1	yes	characteristic, complemented
766	#379	—	5	1	no	—
767	#379	—	5	1	no	—
768	#379	—	5	1	no	—
769	#379	—	5	1	no	—
770	#379	—	5	1	no	—
771	#379	—	5	1	no	—
772	#379	—	5	1	no	—
773	#379	—	5	1	no	—
774	C₄×C₂²⋊C₄	—	5	1	no	—
775	C₄×C₂²⋊C₄	—	5	1	no	—
776	C₂³×C₅	—	2	1	no	—
777	C₂³×C₅	—	2	1	no	—
778	C₂³×C₅	—	2	1	no	—
779	C₂³×C₅	—	2	1	no	—
780	C₂³×C₅	—	2	1	no	—
781	C₂³×C₅	—	2	1	no	—
782	C₂³×C₅	—	2	1	no	—
783	C₂³×C₅	—	2	1	no	—
784	C₂³×C₅	—	2	1	no	—
785	C₂³×C₅	—	2	1	no	—
786	C₂³×C₅	—	2	1	no	—
787	C₂³×C₅	—	2	1	no	—
788	C₂³×C₅	—	2	1	no	—
789	C₂³×C₅	H(5,𝔽₂)	1	2	yes	—
790	C₂³×C₅	C₂⁵	1	1	yes	characteristic
791	C₂²×D₅	—	2	1	no	—
792	C₂²×D₅	—	2	1	no	—
793	C₂²×D₅	—	2	1	no	—
794	C₂²×D₅	—	2	1	no	—
795	C₂²×D₅	—	2	8	no	—
796	C₂²×D₅	—	2	1	no	—
797	C₂²×D₅	—	2	1	no	—
798	C₂²×D₅	—	2	1	no	—
799	C₂²×D₅	—	2	1	no	—
800	C₂²×D₅	—	2	1	no	—
801	C₂²×D₅	—	2	1	no	—
802	C₂²×D₅	—	2	1	no	—
803	C₂²×D₅	—	2	1	no	—
804	C₂²×D₅	—	2	1	no	—
805	C₂²×D₅	—	2	1	no	—
806	C₂²×D₅	—	2	1	no	—
807	C₂²×D₅	—	2	1	no	—
808	C₂²×D₅	—	2	1	no	—
809	C₂²×D₅	—	4	4	no	—
810	C₂²×D₅	—	4	4	no	—
811	C₂²×D₅	—	4	4	no	—
812	C₂²×D₅	—	4	4	no	—
813	C₂²×D₅	—	4	4	no	—
814	C₂²×D₅	—	4	4	no	—
815	C₂²×D₅	—	4	4	no	—
816	C₂²×D₅	—	4	4	no	—
817	C₂²×D₅	—	4	4	no	—
818	C₂²×D₅	—	8	2	no	—
819	C₂²×D₅	—	8	2	no	—
820	C₂²×D₅	—	8	2	no	—
821	C₂²×D₅	—	8	2	no	—
822	C₂²×D₅	C₂²×D₄	1	2	yes	—
823	C₂²×D₅	H(5,𝔽₂)	1	2	yes	—
824	C₂²×D₅	2₋¹⁺⁴	1	2	yes	—
825	C₂²×D₅	2₋¹⁺⁴	1	2	yes	—
826	C₅×D₄	—	4	4	no	—
827	C₂×C₄×C₅	—	2	1	no	—
828	C₂×C₄×C₅	—	2	1	no	—
829	C₂×C₄×C₅	—	2	1	no	—
830	C₂×C₄×C₅	—	2	1	no	—
831	C₂×C₄×C₅	—	2	1	no	—
832	C₂×C₄×C₅	—	2	1	no	—
833	C₂×C₄×C₅	—	2	1	no	—
834	C₂×C₄×C₅	—	2	1	no	—
835	C₂×C₄×C₅	—	2	1	no	—
836	C₂×C₄×C₅	—	2	1	no	—
837	C₂×C₄×C₅	—	2	1	no	—
838	C₂×C₄×C₅	—	2	1	no	—
839	C₂×C₄×C₅	—	2	1	no	—
840	C₂×C₄×C₅	—	2	1	no	—
841	C₂×C₄×C₅	—	2	1	no	—
842	C₂×C₄×C₅	—	2	1	no	—
843	C₂×C₄×C₅	—	2	1	no	—
844	C₂×C₄×C₅	—	2	1	no	—
845	C₂×C₄×C₅	—	2	1	no	—
846	C₂×C₄×C₅	—	2	1	no	—
847	C₂×C₄×C₅	—	2	1	no	—
848	C₂×C₄×C₅	—	2	1	no	—
849	C₂×C₄×C₅	—	2	1	no	—
850	C₂×C₄×C₅	—	2	1	no	—
851	C₂×C₄×C₅	—	2	1	no	—
852	C₂×C₄×C₅	—	2	1	no	—
853	C₂×C₄×C₅	—	2	1	no	—
854	C₂×C₄×C₅	—	2	1	no	—
855	C₂×C₄×C₅	—	2	1	no	—
856	C₂×C₄×C₅	—	2	1	no	—
857	C₂×C₄×C₅	—	2	1	no	—
858	C₂×C₄×C₅	—	2	1	no	—
859	C₂×C₄×C₅	—	2	1	no	—
860	C₂×C₄×C₅	—	2	1	no	—
861	C₂×C₄×C₅	—	2	1	no	—
862	C₂×C₄×C₅	—	2	1	no	—
863	C₂×C₄×C₅	—	4	4	no	—
864	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
865	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
866	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
867	C₂²⋊D₅	—	4	4	no	—
868	C₂²⋊D₅	—	4	4	no	—
869	C₂×Dic₅	—	2	1	no	—
870	C₂×Dic₅	—	2	1	no	—
871	C₂×Dic₅	—	2	1	no	—
872	C₂×Dic₅	—	2	1	no	—
873	C₂×Dic₅	—	2	1	no	—
874	C₂×Dic₅	—	2	1	no	—
875	C₂×Dic₅	—	2	1	no	—
876	C₂×Dic₅	—	2	1	no	—
877	C₂×Dic₅	—	2	1	no	—
878	C₂×Dic₅	—	2	1	no	—
879	C₂×Dic₅	—	2	1	no	—
880	C₂×Dic₅	—	2	1	no	—
881	C₂×Dic₅	—	2	1	no	—
882	C₂×Dic₅	—	2	1	no	—
883	C₂×Dic₅	—	2	1	no	—
884	C₂×Dic₅	—	2	1	no	—
885	C₂×Dic₅	—	2	1	no	—
886	C₂×Dic₅	—	2	1	no	—
887	C₂×Dic₅	—	2	1	no	—
888	C₂×Dic₅	—	2	1	no	—
889	C₂×Dic₅	—	2	1	no	—
890	C₂×Dic₅	—	2	1	no	—
891	C₂×Dic₅	—	2	1	no	—
892	C₂×Dic₅	—	2	1	no	—
893	C₂×Dic₅	—	2	1	no	—
894	C₂×Dic₅	—	2	1	no	—
895	C₂×Dic₅	—	2	1	no	—
896	C₂×Dic₅	—	2	1	no	—
897	C₂×Dic₅	—	2	1	no	—
898	C₂×Dic₅	—	2	1	no	—
899	C₂×Dic₅	—	2	1	no	—
900	C₂×Dic₅	—	2	1	no	—
901	C₂×Dic₅	—	2	1	no	—
902	C₂×Dic₅	—	2	1	no	—
903	C₂×Dic₅	—	2	1	no	—
904	C₂×Dic₅	—	2	1	no	—
905	C₂×Dic₅	—	4	4	no	—
906	C₂×Dic₅	C₂²×D₄	1	2	yes	—
907	C₂×Dic₅	C₂²×D₄	1	2	yes	—
908	C₂×Dic₅	C₂²×D₄	1	2	yes	—
909	D₂₀	—	4	4	no	—
910	C₄×D₅	—	2	8	no	—
911	C₄×D₅	—	4	4	no	—
912	C₄×D₅	—	4	4	no	—
913	C₄×D₅	—	4	4	no	—
914	C₄×D₅	—	4	4	no	—
915	C₄×D₅	—	4	4	no	—
916	C₄×D₅	—	4	4	no	—
917	Dic₁₀	—	8	2	no	—
918	Dic₁₀	—	8	2	no	—
919	Dic₁₀	—	8	2	no	—
920	Dic₁₀	—	8	2	no	—
921	C₂⁵	—	5	1	no	—
922	C₂⁵	—	5	1	no	—
923	C₂²×Q₈	—	5	1	no	—
924	C₂²×Q₈	—	5	1	no	—
925	C₂²×Q₈	—	5	1	no	—
926	C₂²×Q₈	—	5	1	no	—
927	C₂²×D₄	—	5	1	no	—
928	C₂²×D₄	—	5	1	no	—
929	C₂²×D₄	—	5	1	no	—
930	C₂²×D₄	—	10	4	no	—
931	C₂²×D₄	—	20	2	no	—
932	C₂²×D₄	—	20	2	no	—
933	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
934	C₂³×C₄	—	5	1	no	—
935	C₂³×C₄	—	5	1	no	—
936	C₂³×C₄	—	5	1	no	—
937	C₂³×C₄	—	5	1	no	—
938	C₂³×C₄	—	5	1	no	—
939	C₂³×C₄	—	5	1	no	—
940	C₂³×C₄	—	5	1	no	—
941	C₂³×C₄	—	5	1	no	—
942	C₂³×C₄	—	10	4	no	—
943	C₂³×C₄	—	20	2	no	—
944	C₂³×C₄	—	20	2	no	—
945	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
946	C₄⋊Q₈	—	10	4	no	—
947	C₄⋊Q₈	—	10	4	no	—
948	C₄⋊Q₈	—	10	4	no	—
949	C₄⋊Q₈	—	10	4	no	—
950	#125	—	2	4	no	—
951	#125	—	10	4	no	—
952	#125	—	10	4	no	—
953	#125	—	10	4	no	—
954	#124	—	20	2	no	—
955	#124	—	20	2	no	—
956	#124	—	20	2	no	—
957	#124	—	20	2	no	—
958	#123	—	2	4	no	—
959	#123	—	10	4	no	—
960	#123	—	10	4	no	—
961	#123	—	10	4	no	—
962	#123	—	10	4	no	—
963	#123	—	10	4	no	—
964	#123	—	10	4	no	—
965	#123	—	10	4	no	—
966	C₂²⋊Q₈	—	10	4	no	—
967	C₂²⋊Q₈	—	10	4	no	—
968	C₂²⋊Q₈	—	10	4	no	—
969	C₂²⋊Q₈	—	10	4	no	—
970	C₂²⋊Q₈	—	20	2	no	—
971	C₂²⋊Q₈	—	20	2	no	—
972	C₂²⋊Q₈	—	20	2	no	—
973	C₂²⋊Q₈	—	20	2	no	—
974	#117	—	10	4	no	—
975	#117	—	10	4	no	—
976	C₂×C₄⋊C₄	—	5	1	no	—
977	C₂×C₄⋊C₄	—	5	1	no	—
978	C₂×C₄⋊C₄	—	5	1	no	—
979	C₂×C₄⋊C₄	—	5	8	no	—
980	C₂×C₄⋊C₄	—	5	1	no	—
981	C₂×C₄⋊C₄	—	5	1	no	—
982	C₂×C₄⋊C₄	—	5	1	no	—
983	C₂×C₄⋊C₄	—	5	1	no	—
984	C₂×C₄⋊C₄	—	5	1	no	—
985	C₂×C₄⋊C₄	—	5	1	no	—
986	C₂×C₄⋊C₄	—	5	1	no	—
987	C₂×C₄⋊C₄	—	5	1	no	—
988	C₂×C₄⋊C₄	—	5	1	no	—
989	C₂×C₄⋊C₄	—	5	1	no	—
990	C₂×C₄⋊C₄	—	5	1	no	—
991	C₂×C₄⋊C₄	—	5	1	no	—
992	C₂×C₄⋊C₄	—	5	1	no	—
993	C₂×C₄⋊C₄	—	5	1	no	—
994	C₂×C₄⋊C₄	—	5	1	no	—
995	C₂×C₄⋊C₄	—	5	1	no	—
996	C₂×C₄⋊C₄	—	5	1	no	—
997	C₂×C₄⋊C₄	—	5	1	no	—
998	C₂×C₄⋊C₄	—	5	1	no	—
999	C₂×C₄⋊C₄	—	5	1	no	—
1000	C₂×C₄⋊C₄	—	5	1	no	—
1001	C₂×C₄⋊C₄	—	5	1	no	—
1002	C₂×C₄⋊C₄	—	5	1	no	—
1003	C₂×C₄⋊C₄	—	5	1	no	—
1004	C₂×C₄⋊C₄	—	5	1	no	—
1005	C₂×C₄⋊C₄	—	5	1	no	—
1006	C₂×C₄⋊C₄	—	5	1	no	—
1007	C₂×C₄⋊C₄	—	5	1	no	—
1008	C₂×C₄⋊C₄	—	5	1	no	—
1009	C₂×C₄⋊C₄	—	10	4	no	—
1010	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	—	5	1	no	—
1023	C₂×C₂²⋊C₄	—	5	1	no	—
1024	C₂×C₂²⋊C₄	—	5	1	no	—
1025	C₂×C₂²⋊C₄	—	5	1	no	—
1026	C₂×C₂²⋊C₄	—	5	1	no	—
1027	C₂×C₂²⋊C₄	—	5	1	no	—
1028	C₂×C₂²⋊C₄	—	5	1	no	—
1029	C₂×C₂²⋊C₄	—	5	1	no	—
1030	C₂×C₂²⋊C₄	—	5	1	no	—
1031	C₂×C₂²⋊C₄	—	5	1	no	—
1032	C₂×C₂²⋊C₄	—	5	1	no	—
1033	C₂×C₂²⋊C₄	—	5	1	no	—
1034	C₂×C₂²⋊C₄	—	5	1	no	—
1035	C₂×C₂²⋊C₄	—	5	1	no	—
1036	C₂×C₂²⋊C₄	—	5	1	no	—
1037	C₂×C₂²⋊C₄	—	5	1	no	—
1038	C₂×C₂²⋊C₄	—	5	1	no	—
1039	C₂×C₂²⋊C₄	—	5	1	no	—
1040	C₂×C₂²⋊C₄	—	5	1	no	—
1041	C₂×C₂²⋊C₄	—	5	1	no	—
1042	C₂×C₂²⋊C₄	—	5	1	no	—
1043	C₂×C₂²⋊C₄	—	5	1	no	—
1044	C₂×C₂²⋊C₄	—	5	1	no	—
1045	C₂×C₂²⋊C₄	—	5	1	no	—
1046	C₂×C₂²⋊C₄	—	5	1	no	—
1047	C₂×C₂²⋊C₄	—	5	1	no	—
1048	C₂×C₂²⋊C₄	—	5	1	no	—
1049	C₂×C₂²⋊C₄	—	5	1	no	—
1050	C₂×C₂²⋊C₄	—	5	1	no	—
1051	C₂×C₂²⋊C₄	—	5	1	no	—
1052	C₂×C₂²⋊C₄	—	5	1	no	—
1053	C₂×C₂²⋊C₄	—	5	1	no	—
1054	C₂×C₂²⋊C₄	—	5	1	no	—
1055	C₂×C₂²⋊C₄	—	5	1	no	—
1056	C₂×C₂²⋊C₄	—	5	1	no	—
1057	C₂×C₂²⋊C₄	—	5	1	no	—
1058	C₂×C₂²⋊C₄	—	5	1	no	—
1059	C₂×C₂²⋊C₄	—	5	1	no	—
1060	C₂×C₂²⋊C₄	—	5	1	no	—
1061	C₂×C₂²⋊C₄	—	5	1	no	—
1062	C₂×C₂²⋊C₄	—	5	1	no	—
1063	C₂×C₂²⋊C₄	—	10	4	no	—
1064	C₂×C₂²⋊C₄	—	10	4	no	—
1065	C₂×C₂²⋊C₄	—	10	4	no	—
1066	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1077	C₂×C₄²	—	5	1	no	—
1078	C₂×C₄²	—	5	1	no	—
1079	C₂×C₄²	—	5	1	no	—
1080	C₂×C₄²	—	5	1	no	—
1081	C₂×C₄²	—	5	1	no	—
1082	C₂×C₄²	—	5	1	no	—
1083	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1084	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1085	#95	—	5	1	no	—
1086	#95	—	5	1	no	—
1087	#95	—	5	1	no	—
1088	#95	—	5	1	no	—
1089	#95	—	5	1	no	—
1090	#95	—	5	1	no	—
1091	#95	—	5	1	no	—
1092	#95	—	5	1	no	—
1093	#95	—	5	1	no	—
1094	#95	—	5	1	no	—
1095	#95	—	5	1	no	—
1096	#95	—	5	1	no	—
1097	#95	—	5	1	no	—
1098	#95	—	5	1	no	—
1099	#95	—	5	1	no	—
1100	#95	—	5	1	no	—
1101	#95	—	5	1	no	—
1102	#95	—	5	1	no	—
1103	#95	—	5	1	no	—
1104	#95	—	5	1	no	—
1105	#95	—	5	1	no	—
1106	#95	—	5	1	no	—
1107	#95	—	5	1	no	—
1108	#95	—	5	1	no	—
1109	#95	C₂²×D₅	1	1	yes	characteristic
1110	#95	C₂²×D₅	1	1	yes	characteristic
1111	#95	C₂²×D₅	1	1	yes	characteristic
1112	#95	C₂²×D₅	1	1	yes	characteristic
1113	#95	C₂²×D₅	1	1	yes	characteristic
1114	#95	C₂²×D₅	1	1	yes	characteristic
1115	#95	C₂²×D₅	1	1	yes	characteristic
1116	#95	C₂²×D₅	1	1	yes	characteristic
1117	C₂²×C₅	—	2	2	no	—
1118	C₂²×C₅	—	2	2	no	—
1119	C₂²×C₅	—	2	2	no	—
1120	C₂²×C₅	—	4	1	no	—
1121	C₂²×C₅	—	4	1	no	—
1122	C₂²×C₅	—	4	1	no	—
1123	C₂²×C₅	—	4	1	no	—
1124	C₂²×C₅	—	4	1	no	—
1125	C₂²×C₅	—	4	1	no	—
1126	C₂²×C₅	—	4	1	no	—
1127	C₂²×C₅	—	4	1	no	—
1128	C₂²×C₅	—	4	1	no	—
1129	C₂²×C₅	—	4	1	no	—
1130	C₂²×C₅	—	4	1	no	—
1131	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1132	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1133	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1134	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1135	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1136	C₂²×C₅	#585	1	1	yes	characteristic
1137	C₂²×C₅	#585	1	1	yes	characteristic
1138	C₂×D₅	—	2	2	no	—
1139	C₂×D₅	—	2	2	no	—
1140	C₂×D₅	—	2	2	no	—
1141	C₂×D₅	—	2	2	no	—
1142	C₂×D₅	—	2	2	no	—
1143	C₂×D₅	—	2	2	no	—
1144	C₂×D₅	—	2	2	no	—
1145	C₂×D₅	—	2	2	no	—
1146	C₂×D₅	—	2	2	no	—
1147	C₂×D₅	—	4	16	no	—
1148	C₂×D₅	—	4	1	no	—
1149	C₂×D₅	—	4	1	no	—
1150	C₂×D₅	—	4	1	no	—
1151	C₂×D₅	—	4	1	no	—
1152	C₂×D₅	—	4	1	no	—
1153	C₂×D₅	—	4	1	no	—
1154	C₂×D₅	—	4	1	no	—
1155	C₂×D₅	—	4	1	no	—
1156	C₂×D₅	—	4	1	no	—
1157	C₂×D₅	—	4	1	no	—
1158	C₂×D₅	—	4	1	no	—
1159	C₂×D₅	—	8	8	no	—
1160	C₂×D₅	#536	1	4	yes	—
1161	C₄×C₅	—	2	2	no	—
1162	C₄×C₅	—	2	2	no	—
1163	C₄×C₅	—	2	2	no	—
1164	C₄×C₅	—	4	1	no	—
1165	C₄×C₅	—	4	1	no	—
1166	C₄×C₅	—	4	1	no	—
1167	C₄×C₅	—	4	1	no	—
1168	C₄×C₅	—	4	1	no	—
1169	C₄×C₅	—	4	1	no	—
1170	C₄×C₅	—	4	1	no	—
1171	C₄×C₅	—	4	1	no	—
1172	C₄×C₅	—	4	1	no	—
1173	C₄×C₅	—	4	1	no	—
1174	Dic₅	—	2	2	no	—
1175	Dic₅	—	2	2	no	—
1176	Dic₅	—	2	2	no	—
1177	Dic₅	—	4	1	no	—
1178	Dic₅	—	4	1	no	—
1179	Dic₅	—	4	1	no	—
1180	Dic₅	—	4	1	no	—
1181	Dic₅	—	4	1	no	—
1182	Dic₅	—	4	1	no	—
1183	Dic₅	—	4	1	no	—
1184	Dic₅	—	4	1	no	—
1185	Dic₅	—	4	1	no	—
1186	Dic₅	—	4	1	no	—
1187	C₂⁴	—	5	1	no	—
1188	C₂⁴	—	5	1	no	—
1189	C₂⁴	—	5	1	no	—
1190	C₂⁴	—	10	2	no	—
1191	C₂⁴	—	10	2	no	—
1192	C₂⁴	—	10	2	no	—
1193	C₂⁴	—	10	2	no	—
1194	C₂⁴	—	10	2	no	—
1195	C₂⁴	—	10	2	no	—
1196	C₂⁴	—	10	2	no	—
1197	C₂⁴	—	10	2	no	—
1198	C₂⁴	—	20	1	no	—
1199	C₂⁴	—	20	1	no	—
1200	C₂⁴	—	20	1	no	—
1201	C₂⁴	—	20	1	no	—
1202	C₂⁴	—	20	1	no	—
1203	C₂⁴	—	20	1	no	—
1204	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1205	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1206	C₂×Q₈	—	10	2	no	—
1207	C₂×Q₈	—	10	2	no	—
1208	C₂×Q₈	—	10	2	no	—
1209	C₂×Q₈	—	10	2	no	—
1210	C₂×Q₈	—	20	1	no	—
1211	C₂×Q₈	—	20	1	no	—
1212	C₂×Q₈	—	20	1	no	—
1213	C₂×Q₈	—	20	1	no	—
1214	C₂×Q₈	—	20	1	no	—
1215	C₂×Q₈	—	20	1	no	—
1216	C₂×Q₈	—	20	1	no	—
1217	C₂×Q₈	—	20	1	no	—
1218	C₂×D₄	—	2	2	no	—
1219	C₂×D₄	—	2	2	no	—
1220	C₂×D₄	—	4	1	no	—
1221	C₂×D₄	—	10	2	no	—
1222	C₂×D₄	—	10	2	no	—
1223	C₂×D₄	—	10	2	no	—
1224	C₂×D₄	—	10	2	no	—
1225	C₂×D₄	—	10	2	no	—
1226	C₂×D₄	—	10	2	no	—
1227	C₂×D₄	—	20	1	no	—
1228	C₂×D₄	—	20	1	no	—
1229	C₂×D₄	—	20	1	no	—
1230	C₂×D₄	—	20	16	no	—
1231	C₂²×C₄	—	2	2	no	—
1232	C₂²×C₄	—	2	2	no	—
1233	C₂²×C₄	—	4	1	no	—
1234	C₂²×C₄	—	5	1	no	—
1235	C₂²×C₄	—	5	1	no	—
1236	C₂²×C₄	—	5	1	no	—
1237	C₂²×C₄	—	5	4	no	—
1238	C₂²×C₄	—	5	4	no	—
1239	C₂²×C₄	—	5	4	no	—
1240	C₂²×C₄	—	5	1	no	—
1241	C₂²×C₄	—	5	1	no	—
1242	C₂²×C₄	—	5	1	no	—
1243	C₂²×C₄	—	5	1	no	—
1244	C₂²×C₄	—	5	1	no	—
1245	C₂²×C₄	—	5	1	no	—
1246	C₂²×C₄	—	5	1	no	—
1247	C₂²×C₄	—	5	1	no	—
1248	C₂²×C₄	—	5	1	no	—
1249	C₂²×C₄	—	5	1	no	—
1250	C₂²×C₄	—	10	2	no	—
1251	C₂²×C₄	—	10	2	no	—
1252	C₂²×C₄	—	10	2	no	—
1253	C₂²×C₄	—	10	2	no	—
1254	C₂²×C₄	—	10	2	no	—
1255	C₂²×C₄	—	10	2	no	—
1256	C₂²×C₄	—	10	2	no	—
1257	C₂²×C₄	—	10	2	no	—
1258	C₂²×C₄	—	10	2	no	—
1259	C₂²×C₄	—	10	2	no	—
1260	C₂²×C₄	—	20	1	no	—
1261	C₂²×C₄	—	20	1	no	—
1262	C₂²×C₄	—	20	1	no	—
1263	C₂²×C₄	—	20	1	no	—
1264	C₂²×C₄	—	20	1	no	—
1265	C₂²×C₄	—	20	1	no	—
1266	C₂²×C₄	—	20	1	no	—
1267	C₂²×C₄	—	20	1	no	—
1268	C₂²×C₄	—	20	1	no	—
1269	C₂²×C₄	—	20	1	no	—
1270	C₂²×C₄	—	20	16	no	—
1271	C₂²×C₄	—	20	1	no	—
1272	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1273	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1274	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1275	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1276	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1277	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1278	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1279	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1280	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1281	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1282	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1283	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1284	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1285	C₄⋊C₄	—	2	2	no	—
1286	C₄⋊C₄	—	2	2	no	—
1287	C₄⋊C₄	—	2	2	no	—
1288	C₄⋊C₄	—	2	2	no	—
1289	C₄⋊C₄	—	2	2	no	—
1290	C₄⋊C₄	—	2	2	no	—
1291	C₄⋊C₄	—	4	1	no	—
1292	C₄⋊C₄	—	4	1	no	—
1293	C₄⋊C₄	—	4	1	no	—
1294	C₄⋊C₄	—	4	1	no	—
1295	C₄⋊C₄	—	4	1	no	—
1296	C₄⋊C₄	—	5	4	no	—
1297	C₄⋊C₄	—	5	4	no	—
1298	C₄⋊C₄	—	5	4	no	—
1299	C₄⋊C₄	—	10	2	no	—
1300	C₄⋊C₄	—	10	2	no	—
1301	C₄⋊C₄	—	10	2	no	—
1302	C₄⋊C₄	—	10	2	no	—
1303	C₄⋊C₄	—	10	2	no	—
1304	C₄⋊C₄	—	10	2	no	—
1305	C₄⋊C₄	—	10	2	no	—
1306	C₄⋊C₄	—	10	2	no	—
1307	C₄⋊C₄	—	10	2	no	—
1308	C₄⋊C₄	—	10	2	no	—
1309	C₄⋊C₄	—	10	2	no	—
1310	C₄⋊C₄	—	10	2	no	—
1311	C₄⋊C₄	—	10	2	no	—
1312	C₄⋊C₄	—	10	2	no	—
1313	C₄⋊C₄	—	20	1	no	—
1314	C₄⋊C₄	—	20	1	no	—
1315	C₄⋊C₄	—	20	1	no	—
1316	C₄⋊C₄	—	20	1	no	—
1317	C₄⋊C₄	—	20	1	no	—
1318	C₄⋊C₄	—	20	1	no	—
1319	C₄⋊C₄	—	20	1	no	—
1320	C₄⋊C₄	—	20	1	no	—
1321	C₄⋊C₄	—	20	1	no	—
1322	C₄⋊C₄	—	20	1	no	—
1323	C₄⋊C₄	—	20	1	no	—
1324	C₄⋊C₄	—	20	1	no	—
1325	C₄⋊C₄	—	20	1	no	—
1326	C₄⋊C₄	—	20	1	no	—
1327	C₄⋊C₄	—	20	1	no	—
1328	C₄⋊C₄	D₄×D₅	1	4	yes	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	4	1	no	—
1334	C₂²⋊C₄	—	4	1	no	—
1335	C₂²⋊C₄	—	4	1	no	—
1336	C₂²⋊C₄	—	4	1	no	—
1337	C₂²⋊C₄	—	4	1	no	—
1338	C₂²⋊C₄	—	4	1	no	—
1339	C₂²⋊C₄	—	4	1	no	—
1340	C₂²⋊C₄	—	10	2	no	—
1341	C₂²⋊C₄	—	10	2	no	—
1342	C₂²⋊C₄	—	10	2	no	—
1343	C₂²⋊C₄	—	10	2	no	—
1344	C₂²⋊C₄	—	10	2	no	—
1345	C₂²⋊C₄	—	10	2	no	—
1346	C₂²⋊C₄	—	10	2	no	—
1347	C₂²⋊C₄	—	10	2	no	—
1348	C₂²⋊C₄	—	10	2	no	—
1349	C₂²⋊C₄	—	10	2	no	—
1350	C₂²⋊C₄	—	10	2	no	—
1351	C₂²⋊C₄	—	10	2	no	—
1352	C₂²⋊C₄	—	10	2	no	—
1353	C₂²⋊C₄	—	10	2	no	—
1354	C₂²⋊C₄	—	10	2	no	—
1355	C₂²⋊C₄	—	10	2	no	—
1356	C₂²⋊C₄	—	10	2	no	—
1357	C₂²⋊C₄	—	10	2	no	—
1358	C₂²⋊C₄	—	10	2	no	—
1359	C₂²⋊C₄	—	10	2	no	—
1360	C₂²⋊C₄	—	10	2	no	—
1361	C₂²⋊C₄	—	10	2	no	—
1362	C₂²⋊C₄	—	10	2	no	—
1363	C₂²⋊C₄	—	10	2	no	—
1364	C₂²⋊C₄	—	20	1	no	—
1365	C₂²⋊C₄	—	20	1	no	—
1366	C₂²⋊C₄	—	20	1	no	—
1367	C₂²⋊C₄	—	20	1	no	—
1368	C₂²⋊C₄	—	20	1	no	—
1369	C₂²⋊C₄	—	20	1	no	—
1370	C₂²⋊C₄	—	20	1	no	—
1371	C₂²⋊C₄	—	20	1	no	—
1372	C₂²⋊C₄	—	20	1	no	—
1373	C₂²⋊C₄	—	20	1	no	—
1374	C₂²⋊C₄	—	20	1	no	—
1375	C₂²⋊C₄	—	20	1	no	—
1376	C₂²⋊C₄	—	20	1	no	—
1377	C₂²⋊C₄	—	20	1	no	—
1378	C₂²⋊C₄	—	20	1	no	—
1379	C₂²⋊C₄	—	20	1	no	—
1380	C₂²⋊C₄	—	20	1	no	—
1381	C₄²	—	2	2	no	—
1382	C₄²	—	4	1	no	—
1383	C₄²	—	10	2	no	—
1384	C₄²	—	10	2	no	—
1385	C₄²	—	10	2	no	—
1386	C₄²	—	20	1	no	—
1387	C₄²	—	20	1	no	—
1388	C₄²	—	20	1	no	—
1389	C₂×C₅	—	4	2	no	—
1390	C₂×C₅	—	8	1	no	—
1391	C₂×C₅	C₂×#536	1	1	yes	characteristic
1392	C₂×C₅	#3484	1	1	yes	characteristic
1393	C₂×C₅	#3487	1	1	yes	characteristic
1394	C₂×C₅	#3535	1	1	yes	characteristic
1395	C₂×C₅	#3535	1	1	yes	characteristic
1396	C₂×C₅	#3535	1	1	yes	characteristic
1397	C₂×C₅	#3535	1	1	yes	characteristic
1398	D₅	—	2	4	no	—
1399	D₅	—	4	2	no	—
1400	D₅	—	8	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	5	2	no	—
1415	C₂³	—	5	2	no	—
1416	C₂³	—	5	2	no	—
1417	C₂³	—	5	2	no	—
1418	C₂³	—	10	8	no	—
1419	C₂³	—	10	1	no	—
1420	C₂³	—	10	1	no	—
1421	C₂³	—	10	1	no	—
1422	C₂³	—	10	1	no	—
1423	C₂³	—	10	1	no	—
1424	C₂³	—	10	1	no	—
1425	C₂³	—	10	1	no	—
1426	C₂³	—	10	1	no	—
1427	C₂³	—	10	1	no	—
1428	C₂³	—	10	1	no	—
1429	C₂³	—	10	1	no	—
1430	C₂³	—	10	1	no	—
1431	C₂³	—	10	1	no	—
1432	C₂³	—	10	1	no	—
1433	C₂³	—	10	1	no	—
1434	C₂³	—	10	1	no	—
1435	C₂³	—	10	1	no	—
1436	C₂³	—	20	4	no	—
1437	C₂³	—	20	4	no	—
1438	C₂³	—	20	4	no	—
1439	C₂³	—	20	4	no	—
1440	C₂³	—	20	4	no	—
1441	C₂³	—	20	4	no	—
1442	C₂³	—	20	4	no	—
1443	C₂³	—	20	4	no	—
1444	C₂³	—	20	4	no	—
1445	C₂³	—	40	2	no	—
1446	C₂³	—	40	2	no	—
1447	C₂³	—	40	2	no	—
1448	C₂³	—	40	2	no	—
1449	C₂³	#4149	1	2	yes	—
1450	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1451	Q₈	—	40	2	no	—
1452	Q₈	—	40	2	no	—
1453	Q₈	—	40	2	no	—
1454	Q₈	—	40	2	no	—
1455	D₄	—	4	4	no	—
1456	D₄	—	20	4	no	—
1457	D₄	—	20	4	no	—
1458	D₄	—	20	4	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	4	4	no	—
1496	C₂×C₄	—	5	2	no	—
1497	C₂×C₄	—	5	2	no	—
1498	C₂×C₄	—	5	2	no	—
1499	C₂×C₄	—	10	8	no	—
1500	C₂×C₄	—	10	1	no	—
1501	C₂×C₄	—	10	1	no	—
1502	C₂×C₄	—	10	1	no	—
1503	C₂×C₄	—	10	1	no	—
1504	C₂×C₄	—	10	1	no	—
1505	C₂×C₄	—	10	1	no	—
1506	C₂×C₄	—	10	1	no	—
1507	C₂×C₄	—	10	1	no	—
1508	C₂×C₄	—	10	1	no	—
1509	C₂×C₄	—	10	1	no	—
1510	C₂×C₄	—	10	1	no	—
1511	C₂×C₄	—	10	1	no	—
1512	C₂×C₄	—	10	1	no	—
1513	C₂×C₄	—	10	1	no	—
1514	C₂×C₄	—	10	1	no	—
1515	C₂×C₄	—	10	1	no	—
1516	C₂×C₄	—	10	1	no	—
1517	C₂×C₄	—	10	1	no	—
1518	C₂×C₄	—	10	1	no	—
1519	C₂×C₄	—	10	1	no	—
1520	C₂×C₄	—	10	1	no	—
1521	C₂×C₄	—	10	1	no	—
1522	C₂×C₄	—	10	1	no	—
1523	C₂×C₄	—	10	1	no	—
1524	C₂×C₄	—	10	1	no	—
1525	C₂×C₄	—	10	1	no	—
1526	C₂×C₄	—	10	1	no	—
1527	C₂×C₄	—	10	1	no	—
1528	C₂×C₄	—	10	1	no	—
1529	C₂×C₄	—	10	1	no	—
1530	C₂×C₄	—	10	1	no	—
1531	C₂×C₄	—	10	1	no	—
1532	C₂×C₄	—	10	1	no	—
1533	C₂×C₄	—	10	1	no	—
1534	C₂×C₄	—	10	1	no	—
1535	C₂×C₄	—	10	1	no	—
1536	C₂×C₄	—	20	4	no	—
1537	C₂×C₄	—	20	4	no	—
1538	C₂×C₄	—	20	4	no	—
1539	C₂×C₄	—	20	4	no	—
1540	C₂×C₄	—	20	4	no	—
1541	C₂×C₄	—	20	4	no	—
1542	C₂×C₄	—	20	4	no	—
1543	C₂×C₄	C₂×D₄×D₅	1	2	yes	—
1544	C₂×C₄	C₂×D₄×D₅	1	2	yes	—
1545	C₂×C₄	C₂×D₄×D₅	1	2	yes	—
1546	C₅	#36711	1	1	yes	characteristic, complemented, Sylow
1547	C₂²	—	2	2	no	—
1548	C₂²	—	2	2	no	—
1549	C₂²	—	2	2	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	—	5	4	no	—
1562	C₂²	—	10	2	no	—
1563	C₂²	—	10	2	no	—
1564	C₂²	—	10	2	no	—
1565	C₂²	—	10	2	no	—
1566	C₂²	—	10	2	no	—
1567	C₂²	—	10	2	no	—
1568	C₂²	—	10	2	no	—
1569	C₂²	—	10	2	no	—
1570	C₂²	—	10	2	no	—
1571	C₂²	—	20	16	no	—
1572	C₂²	—	20	1	no	—
1573	C₂²	—	20	1	no	—
1574	C₂²	—	20	1	no	—
1575	C₂²	—	20	1	no	—
1576	C₂²	—	20	1	no	—
1577	C₂²	—	20	1	no	—
1578	C₂²	—	20	1	no	—
1579	C₂²	—	20	1	no	—
1580	C₂²	—	20	1	no	—
1581	C₂²	—	20	1	no	—
1582	C₂²	—	20	1	no	—
1583	C₂²	—	40	8	no	—
1584	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1585	C₂²	C₂×#4149	1	1	yes	characteristic
1586	C₂²	#66283	1	1	yes	characteristic
1587	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1588	C₂²	#66285	1	1	yes	characteristic
1589	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1590	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1591	C₄	—	2	2	no	—
1592	C₄	—	2	2	no	—
1593	C₄	—	2	2	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	10	2	no	—
1605	C₄	—	10	2	no	—
1606	C₄	—	10	2	no	—
1607	C₄	—	20	1	no	—
1608	C₄	—	20	1	no	—
1609	C₄	—	20	1	no	—
1610	C₄	—	20	1	no	—
1611	C₄	—	20	1	no	—
1612	C₄	—	20	1	no	—
1613	C₄	—	20	1	no	—
1614	C₄	—	20	1	no	—
1615	C₄	—	20	1	no	—
1616	C₄	—	20	1	no	—
1617	C₂	—	4	2	no	—
1618	C₂	—	8	1	no	—
1619	C₂	—	10	4	no	—
1620	C₂	—	20	2	no	—
1621	C₂	—	40	1	no	—
1622	C₂	D₅×#536	1	1	yes	characteristic
1623	C₂	#10618361	1	1	yes	characteristic
1624	C₂	#10618363	1	1	yes	characteristic
1625	C₂	#10618563	1	1	yes	characteristic
1626	C₂	#10618684	1	1	yes	characteristic
1627	C₂	#10618745	1	1	yes	characteristic
1628	C₂	#10619011	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2694	C₂
prime radical	C₂²×D₄×D₅	C₂²
hypercenter	#2694	D₅
hypocenter	C₅	#36711
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2694

Complements

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

N	H ≅ G/N	type
1. C₂×#66023	C₂	semidirect
3. C₅×#2694	C₂	semidirect
4. #10614777	C₂	semidirect
5. #10614601	C₂	semidirect
6. #10609841	C₂	semidirect
7. #10609836	C₂	semidirect
8. #10609795	C₂	semidirect
9. #10609794	C₂	semidirect
10. #10609692	C₂	semidirect
11. #10609579	C₂	semidirect
12. #10609407	C₂	semidirect
13. #10609306	C₂	semidirect
14. #10609158	C₂	semidirect
15. #10609155	C₂	semidirect
16. #10608733	C₂	semidirect
18. #10608114	C₂	semidirect
20. #10607989	C₂	semidirect
21. #10607978	C₂	semidirect
22. #10607646	C₂	semidirect
23. #10607597	C₂	semidirect
24. #10607597	C₂	semidirect
25. #10607397	C₂	semidirect
26. #10607119	C₂	semidirect
27. #10607027	C₂	semidirect
28. #10606386	C₂	semidirect
29. #10606239	C₂	semidirect
30. #10605780	C₂	semidirect
31. #10605693	C₂	semidirect
34. C₂×C₅×#125	C₂²	semidirect
39. C₂×#4070	C₂²	semidirect
44. C₂×#4043	C₂²	semidirect
47. C₂×#4042	C₂²	semidirect
53. C₂×#4036	C₂²	semidirect
54. C₂×#4035	C₂²	semidirect
55. C₂×#4035	C₂²	semidirect
56. C₂×#4034	C₂²	semidirect
57. C₂×#4034	C₂²	semidirect
58. C₂×#4034	C₂²	semidirect
67. C₂×#4024	C₂²	semidirect
70. C₂×#4015	C₂²	semidirect
71. C₅×#399	C₂²	semidirect
72. C₅×#399	C₂²	semidirect
73. C₅×#398	C₂²	semidirect
74. C₅×#397	C₂²	semidirect
75. C₅×#396	C₂²	semidirect
78. C₅×#389	C₂²	semidirect
79. C₅×#388	C₂²	semidirect
80. C₅×#388	C₂²	semidirect
81. C₅×#387	C₂²	semidirect
82. C₅×#385	C₂²	semidirect
83. C₅×#380	C₂²	semidirect
85. #65499	C₂²	semidirect
86. #65283	C₂²	semidirect
87. #65283	C₂²	semidirect
88. #65283	C₂²	semidirect
89. #65283	C₂²	semidirect
90. #65282	C₂²	semidirect
91. #65281	C₂²	semidirect
92. #65281	C₂²	semidirect
93. #65281	C₂²	semidirect
94. #65281	C₂²	semidirect
95. #65281	C₂²	semidirect
97. #65279	C₂²	semidirect
98. #65279	C₂²	semidirect
103. #65278	C₂²	semidirect
106. #65276	C₂²	semidirect
107. #65274	C₂²	semidirect
108. #65274	C₂²	semidirect
109. #65273	C₂²	semidirect
110. #65270	C₂²	semidirect
111. #65269	C₂²	semidirect
112. #65268	C₂²	semidirect
113. #65268	C₂²	semidirect
114. #65267	C₂²	semidirect
115. #65261	C₂²	semidirect
116. #65261	C₂²	semidirect
131. #65242	C₂²	semidirect
132. #65241	C₂²	semidirect
133. #65241	C₂²	semidirect
134. #65240	C₂²	semidirect
135. #65240	C₂²	semidirect
136. #65239	C₂²	semidirect
137. #65239	C₂²	semidirect
138. #65238	C₂²	semidirect
139. #65238	C₂²	semidirect
140. #65238	C₂²	semidirect
141. #65238	C₂²	semidirect
142. #65237	C₂²	semidirect
143. #65237	C₂²	semidirect
144. #65237	C₂²	semidirect
145. #65236	C₂²	semidirect
146. #65236	C₂²	semidirect
147. #65234	C₂²	semidirect
148. #65234	C₂²	semidirect
149. #65233	C₂²	semidirect
150. #65233	C₂²	semidirect
151. #65231	C₂²	semidirect
152. #65229	C₂²	semidirect
153. #65229	C₂²	semidirect
155. #65222	C₂²	semidirect
156. #65217	C₂²	semidirect
157. #64966	C₂²	semidirect
158. #64964	C₂²	semidirect
159. #64964	C₂²	semidirect
160. #64963	C₂²	semidirect
161. #64962	C₂²	semidirect
162. #64962	C₂²	semidirect
164. #64959	C₂²	semidirect
165. #64959	C₂²	semidirect
166. #64958	C₂²	semidirect
167. #64958	C₂²	semidirect
172. #64957	C₂²	semidirect
173. #64957	C₂²	semidirect
174. #64957	C₂²	semidirect
176. #64956	C₂²	semidirect
180. #64946	C₂²	semidirect
181. #64945	C₂²	semidirect
182. #64945	C₂²	semidirect
183. #64944	C₂²	semidirect
184. #64943	C₂²	semidirect
185. #64942	C₂²	semidirect
186. #64941	C₂²	semidirect
187. #64936	C₂²	semidirect
188. #64936	C₂²	semidirect
397. #2694	D₅	semidirect
629. C₂×#125	C₂×D₅	semidirect
668. #399	C₂×D₅	semidirect
669. #399	C₂×D₅	semidirect
673. #398	C₂×D₅	semidirect
681. #397	C₂×D₅	semidirect
689. #396	C₂×D₅	semidirect
717. #389	C₂×D₅	semidirect
732. #388	C₂×D₅	semidirect
733. #388	C₂×D₅	semidirect
741. #387	C₂×D₅	semidirect
757. #385	C₂×D₅	semidirect
765. #380	C₂×D₅	semidirect
1546. C₅	#36711	semidirect

Maximal subgroups

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

subgroup	index
C₂×#66023	2
C₂×D₅×#123	2
C₅×#2694	2
#10614777	2
#10614601	2
#10609841	2
#10609836	2
#10609795	2
#10609794	2
#10609692	2
#10609579	2
#10609407	2
#10609306	2
#10609158	2
#10609155	2
#10608733	2
#10608636	2
#10608114	2
#10608046	2
#10607989	2
#10607978	2
#10607646	2
#10607597	2
#10607397	2
#10607119	2
#10607027	2
#10606386	2
#10606239	2
#10605780	2
#10605693	2
#36711	5