Subgroups — #12306415

Order 1280.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2510	C₂	1	1	yes	maximal, characteristic, complemented
2	#10610165	C₂	1	1	yes	maximal, characteristic, complemented
3	#10610164	C₂	1	1	yes	maximal, characteristic, complemented
4	#10610108	C₂	1	1	yes	maximal, characteristic, complemented
5	#10609970	C₂	1	1	yes	maximal, characteristic, complemented
6	#10609441	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609312	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609305	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609300	C₂	1	1	yes	maximal, characteristic, complemented
10	#10607671	C₂	1	1	yes	maximal, characteristic, complemented
11	#10607417	C₂	1	1	yes	maximal, characteristic, complemented
12	#10607408	C₂	1	1	yes	maximal, characteristic, complemented
13	#10607405	C₂	1	1	yes	maximal, characteristic, complemented
14	#10607144	C₂	1	1	yes	maximal, characteristic, complemented
15	#10606885	C₂	1	1	yes	maximal, characteristic, complemented
16	#10606667	C₂	1	1	yes	maximal, characteristic, complemented
17	#10606636	C₂	1	1	yes	maximal, characteristic
18	#10606606	C₂	1	1	yes	maximal, characteristic, complemented
19	#10606440	C₂	1	1	yes	maximal, characteristic, complemented
20	#10606437	C₂	1	1	yes	maximal, characteristic, complemented
21	#10606433	C₂	1	1	yes	maximal, characteristic, complemented
22	#10606387	C₂	1	1	yes	maximal, characteristic, complemented
23	#10606195	C₂	1	1	yes	maximal, characteristic, complemented
24	#10606043	C₂	1	1	yes	maximal, characteristic, complemented
25	#10606042	C₂	1	1	yes	maximal, characteristic, complemented
26	#10605683	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605641	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605300	C₂	1	1	yes	maximal, characteristic, complemented
29	#10605232	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#64956	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605082	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
33	C₂×#4085	C₂²	1	1	yes	characteristic
34	C₂×#4083	C₂²	1	1	yes	characteristic
35	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
37	C₂²×#685	C₂²	1	1	yes	characteristic
38	C₂²×#685	C₂²	1	1	yes	characteristic
39	C₂×#4070	C₂²	1	1	yes	characteristic
40	C₂²×#683	C₂²	1	1	yes	characteristic
41	C₂²×#683	C₂²	1	1	yes	characteristic
42	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4040	C₂²	1	1	yes	characteristic
44	C₂×#4040	C₂²	1	1	yes	characteristic
45	C₂×#4029	C₂²	1	1	yes	characteristic
46	C₂×#4029	C₂²	1	1	yes	characteristic
47	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
48	C₂×#4028	C₂²	1	1	yes	characteristic
49	C₂×#4024	C₂²	1	1	yes	characteristic, complemented
50	C₂×#4016	C₂²	1	1	yes	characteristic, complemented
51	C₅×#401	C₂²	1	1	yes	characteristic, complemented
52	C₅×#400	C₂²	1	1	yes	characteristic, complemented
53	C₅×#397	C₂²	1	1	yes	characteristic, complemented
54	C₅×#397	C₂²	1	1	yes	characteristic, complemented
55	C₅×#388	C₂²	1	1	yes	characteristic, complemented
56	C₅×#388	C₂²	1	1	yes	characteristic, complemented
57	C₅×#387	C₂²	1	1	yes	characteristic, complemented
58	C₅×#386	C₂²	1	1	yes	characteristic
59	C₅×#386	C₂²	1	1	yes	characteristic
60	C₅×#386	C₂²	1	1	yes	characteristic
61	C₅×#385	C₂²	1	1	yes	characteristic
62	C₅×#383	C₂²	1	1	yes	characteristic, complemented
63	C₅×#380	C₂²	1	1	yes	characteristic
64	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
65	C₂×C₅×#95	C₂²	1	1	yes	characteristic
66	#65509	C₂²	1	1	yes	characteristic
67	#65502	C₂²	1	1	yes	characteristic
68	#65502	C₂²	1	1	yes	characteristic
69	#65499	C₂²	1	1	yes	characteristic
70	#65499	C₂²	1	1	yes	characteristic
71	C₂×#3963	C₂²	1	1	yes	characteristic
72	#65283	C₂²	1	1	yes	characteristic
73	#65283	C₂²	1	1	yes	characteristic
74	#65283	C₂²	1	1	yes	characteristic
75	#65283	C₂²	1	1	yes	characteristic
76	#65283	C₂²	1	1	yes	characteristic, complemented
77	#65278	C₂²	1	1	yes	characteristic
78	#65278	C₂²	1	1	yes	characteristic
79	#65275	C₂²	1	1	yes	characteristic, complemented
80	#65273	C₂²	1	1	yes	characteristic, complemented
81	#65271	C₂²	1	1	yes	characteristic, complemented
82	#65267	C₂²	1	1	yes	characteristic, complemented
83	#65266	C₂²	1	1	yes	characteristic, complemented
84	#65262	C₂²	1	1	yes	characteristic, complemented
85	#65250	C₂²	1	1	yes	characteristic, complemented
86	#65249	C₂²	1	1	yes	characteristic
87	#65249	C₂²	1	1	yes	characteristic
88	#65248	C₂²	1	1	yes	characteristic
89	#65248	C₂²	1	1	yes	characteristic
90	#65248	C₂²	1	1	yes	characteristic, complemented
91	#65247	C₂²	1	1	yes	characteristic
92	#65247	C₂²	1	1	yes	characteristic
93	#65247	C₂²	1	1	yes	characteristic
94	#65247	C₂²	1	1	yes	characteristic
95	#65247	C₂²	1	1	yes	characteristic, complemented
96	#65246	C₂²	1	1	yes	characteristic
97	#65246	C₂²	1	1	yes	characteristic
98	#65245	C₂²	1	1	yes	characteristic
99	#65245	C₂²	1	1	yes	characteristic
100	#65244	C₂²	1	1	yes	characteristic
101	#65244	C₂²	1	1	yes	characteristic
102	#65242	C₂²	1	1	yes	characteristic, complemented
103	#65239	C₂²	1	1	yes	characteristic
104	#65239	C₂²	1	1	yes	characteristic
105	#65239	C₂²	1	1	yes	characteristic
106	#65239	C₂²	1	1	yes	characteristic
107	#65238	C₂²	1	1	yes	characteristic, complemented
108	#65238	C₂²	1	1	yes	characteristic, complemented
109	#65237	C₂²	1	1	yes	characteristic, complemented
110	#65235	C₂²	1	1	yes	characteristic
111	#65235	C₂²	1	1	yes	characteristic, complemented
112	#65234	C₂²	1	1	yes	characteristic, complemented
113	#65232	C₂²	1	1	yes	characteristic, complemented
114	#65231	C₂²	1	1	yes	characteristic
115	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
116	#65229	C₂²	1	1	yes	characteristic
117	#65229	C₂²	1	1	yes	characteristic
118	#65228	C₂²	1	1	yes	characteristic
119	#65228	C₂²	1	1	yes	characteristic
120	#65222	C₂²	1	1	yes	characteristic, complemented
121	#65222	C₂²	1	1	yes	characteristic, complemented
122	#65217	C₂²	1	1	yes	characteristic, complemented
123	#64966	C₂²	1	1	yes	characteristic
124	#64966	C₂²	1	1	yes	characteristic
125	#64965	C₂²	1	1	yes	characteristic, complemented
126	#64964	C₂²	1	1	yes	characteristic
127	#64964	C₂²	1	1	yes	characteristic
128	#64964	C₂²	1	1	yes	characteristic, complemented
129	#64964	C₂²	1	1	yes	characteristic, complemented
130	#64963	C₂²	1	1	yes	characteristic, complemented
131	#64962	C₂²	1	1	yes	characteristic
132	#64962	C₂²	1	1	yes	characteristic
133	#64962	C₂²	1	1	yes	characteristic, complemented
134	#64961	C₂²	1	1	yes	characteristic
135	#64961	C₂²	1	1	yes	characteristic
136	#64959	C₂²	1	1	yes	characteristic
137	#64959	C₂²	1	1	yes	characteristic
138	#64959	C₂²	1	1	yes	characteristic
139	#64959	C₂²	1	1	yes	characteristic
140	#64959	C₂²	1	1	yes	characteristic, complemented
141	#64958	C₂²	1	1	yes	characteristic
142	#64958	C₂²	1	1	yes	characteristic
143	#64958	C₂²	1	1	yes	characteristic, complemented
144	#64957	C₂²	1	1	yes	characteristic
145	#64957	C₂²	1	1	yes	characteristic
146	#64957	C₂²	1	1	yes	characteristic, complemented
147	#64957	C₂²	1	1	yes	characteristic, complemented
148	#64956	C₂²	1	1	yes	characteristic
149	#64956	C₂²	1	1	yes	characteristic
150	#64956	C₂²	1	1	yes	characteristic
151	#64956	C₂²	1	1	yes	characteristic
152	#64956	C₂²	1	1	yes	characteristic
153	#64956	C₂²	1	1	yes	characteristic
154	#64956	C₂²	1	1	yes	characteristic
155	#64956	C₂²	1	1	yes	characteristic
156	#64956	C₂²	1	1	yes	characteristic, complemented
157	#64954	C₂²	1	1	yes	characteristic
158	#64954	C₂²	1	1	yes	characteristic
159	#64954	C₂²	1	1	yes	characteristic
160	#64954	C₂²	1	1	yes	characteristic
161	#64953	C₂²	1	1	yes	characteristic
162	#64953	C₂²	1	1	yes	characteristic
163	#64953	C₂²	1	1	yes	characteristic
164	#64953	C₂²	1	1	yes	characteristic
165	#64949	C₂²	1	1	yes	characteristic, complemented
166	#64949	C₂²	1	1	yes	characteristic, complemented
167	#64949	C₂²	1	1	yes	characteristic, complemented
168	#64949	C₂²	1	1	yes	characteristic, complemented
169	#64948	C₂²	1	1	yes	characteristic, complemented
170	#64947	C₂²	1	1	yes	characteristic, complemented
171	#64946	C₂²	1	1	yes	characteristic, complemented
172	#64946	C₂²	1	1	yes	characteristic, complemented
173	#64946	C₂²	1	1	yes	characteristic, complemented
174	#64946	C₂²	1	1	yes	characteristic, complemented
175	#64946	C₂²	1	1	yes	characteristic, complemented
176	#64946	C₂²	1	1	yes	characteristic, complemented
177	#64945	C₂²	1	1	yes	characteristic, complemented
178	#64944	C₂²	1	1	yes	characteristic, complemented
179	#64944	C₂²	1	1	yes	characteristic, complemented
180	#64943	C₂²	1	1	yes	characteristic, complemented
181	#64943	C₂²	1	1	yes	characteristic, complemented
182	#64942	C₂²	1	1	yes	characteristic, complemented
183	#64941	C₂²	1	1	yes	characteristic, complemented
184	#64941	C₂²	1	1	yes	characteristic, complemented
185	#64936	C₂²	1	1	yes	characteristic, complemented
186	#64935	C₂²	1	1	yes	characteristic, complemented
187	#36726	—	5	1	no	maximal, Sylow
188	C₂⁴×D₅	C₂³	1	1	yes	characteristic
189	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
197	C₂³×Dic₅	C₂³	1	1	yes	characteristic
198	C₂³×Dic₅	C₂³	1	1	yes	characteristic
199	C₂³×Dic₅	C₂³	1	1	yes	characteristic
200	C₂³×Dic₅	C₂³	1	1	yes	characteristic
201	C₂²×D₂₀	C₂³	1	1	yes	characteristic
202	C₂²×D₂₀	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₅	—	2	4	no	—
204	C₂²×C₄×D₅	—	4	2	no	—
205	C₂²×C₄×D₅	—	4	2	no	—
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	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
234	#4085	—	4	2	no	—
235	#4083	—	2	4	no	—
236	D₄×Dic₅	—	4	2	no	—
237	C₄×C₂²⋊D₅	—	4	2	no	—
238	C₂×#685	—	4	2	no	—
239	C₂×#685	—	4	2	no	—
240	C₂×#685	C₂³	1	1	yes	characteristic
241	C₂×#685	C₂³	1	1	yes	characteristic
242	C₂×#685	C₂³	1	1	yes	characteristic
243	C₂×#685	C₂³	1	1	yes	characteristic
244	C₂×#685	C₂³	1	1	yes	characteristic
245	C₂×#685	C₂³	1	1	yes	characteristic
246	C₂×#685	C₂³	1	1	yes	characteristic
247	C₂×#685	C₂³	1	1	yes	characteristic
248	C₂×#685	C₂³	1	1	yes	characteristic
249	C₂×#685	C₂³	1	1	yes	characteristic
250	C₂×#685	C₂³	1	1	yes	characteristic
251	C₂×#685	C₂³	1	1	yes	characteristic
252	C₂×#685	C₂³	1	1	yes	characteristic
253	C₂×#685	C₂³	1	1	yes	characteristic
254	C₂×#685	C₂³	1	1	yes	characteristic
255	C₂×#685	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
280	#4070	—	4	2	no	—
281	C₂×#683	—	4	2	no	—
282	C₂×#683	—	4	2	no	—
283	C₂×#683	C₂³	1	1	yes	characteristic
284	C₂×#683	C₂³	1	1	yes	characteristic
285	C₂×#683	C₂³	1	1	yes	characteristic
286	C₂×#683	C₂³	1	1	yes	characteristic
287	C₂×#683	C₂³	1	1	yes	characteristic
288	C₂×#683	C₂³	1	1	yes	characteristic
289	C₂×#683	C₂³	1	1	yes	characteristic
290	C₂×#683	C₂³	1	1	yes	characteristic
291	C₂×#683	C₂³	1	1	yes	characteristic
292	C₂×#683	C₂³	1	1	yes	characteristic
293	C₂×#683	C₂³	1	1	yes	characteristic
294	C₂×#683	C₂³	1	1	yes	characteristic
295	C₂×#683	C₂³	1	1	yes	characteristic
296	C₂×#683	C₂³	1	1	yes	characteristic
297	C₂×#683	C₂³	1	1	yes	characteristic
298	C₂×#683	C₂³	1	1	yes	characteristic
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×C₄×Dic₅	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
307	#4044	—	4	2	no	—
308	#4040	—	4	2	no	—
309	#4040	—	4	2	no	—
310	#4029	—	4	2	no	—
311	#4029	—	4	2	no	—
312	#4029	—	4	2	no	—
313	#4028	—	2	4	no	—
314	#4024	—	4	2	no	—
315	#4016	—	4	2	no	—
316	C₅×#95	C₂³	1	1	yes	characteristic
317	C₅×#95	C₂³	1	1	yes	characteristic
318	C₅×#95	C₂³	1	1	yes	characteristic
319	C₅×#95	C₂³	1	1	yes	characteristic
320	C₅×#95	C₂³	1	1	yes	characteristic
321	C₅×#95	C₂³	1	1	yes	characteristic
322	C₅×#95	C₂³	1	1	yes	characteristic
323	C₅×#95	C₂³	1	1	yes	characteristic
324	C₅×#95	C₂³	1	1	yes	characteristic
325	C₅×#95	C₂³	1	1	yes	characteristic
326	C₅×#95	C₂³	1	1	yes	characteristic
327	C₅×#95	C₂³	1	1	yes	characteristic
328	C₅×#95	C₂³	1	1	yes	characteristic
329	C₅×#95	C₂³	1	1	yes	characteristic
330	C₅×#95	C₂³	1	1	yes	characteristic
331	C₅×#95	C₂³	1	1	yes	characteristic
332	#3963	C₂³	1	1	yes	characteristic
333	#3963	C₂³	1	1	yes	characteristic
334	#3963	C₂³	1	1	yes	characteristic
335	#3963	C₂³	1	1	yes	characteristic
336	#3963	C₂³	1	1	yes	characteristic
337	#3963	C₂³	1	1	yes	characteristic
338	#3963	C₂³	1	1	yes	characteristic
339	#3963	C₂³	1	1	yes	characteristic
340	#3963	C₂³	1	1	yes	characteristic
341	#3963	C₂³	1	1	yes	characteristic
342	#3963	C₂³	1	1	yes	characteristic
343	#3963	C₂³	1	1	yes	characteristic
344	#3963	C₂³	1	1	yes	characteristic
345	#3963	C₂³	1	1	yes	characteristic
346	#3963	C₂³	1	1	yes	characteristic
347	#3963	C₂³	1	1	yes	characteristic
348	#3963	C₂³	1	1	yes	characteristic
349	#3963	C₂³	1	1	yes	characteristic
350	#3963	C₂³	1	1	yes	characteristic
351	#3963	C₂³	1	1	yes	characteristic
352	#3963	C₂³	1	1	yes	characteristic
353	#3963	C₂³	1	1	yes	characteristic
354	#3963	C₂³	1	1	yes	characteristic
355	#3963	C₂³	1	1	yes	characteristic
356	#3963	C₂³	1	1	yes	characteristic
357	#3963	C₂³	1	1	yes	characteristic
358	#3963	C₂³	1	1	yes	characteristic
359	#3963	C₂³	1	1	yes	characteristic
360	#3963	C₂³	1	1	yes	characteristic
361	#3963	C₂³	1	1	yes	characteristic
362	#3963	C₂³	1	1	yes	characteristic
363	#3963	C₂³	1	1	yes	characteristic
364	#2849	—	5	1	no	—
365	#2849	—	5	1	no	—
366	#2746	—	5	1	no	—
367	#2745	—	5	1	no	—
368	#2744	—	5	1	no	—
369	#2743	—	5	1	no	—
370	#2740	—	5	1	no	—
371	#2739	—	5	1	no	—
372	#2738	—	5	1	no	—
373	#2737	—	5	1	no	—
374	#2707	—	5	1	no	—
375	#2706	—	5	1	no	—
376	#2705	—	5	1	no	—
377	#2696	—	5	1	no	—
378	#2695	—	5	1	no	—
379	#2694	—	5	1	no	—
380	#2693	—	5	1	no	—
381	#2687	—	5	1	no	—
382	#2626	—	5	1	no	—
383	#2617	—	5	1	no	—
384	#2510	D₅	1	1	yes	characteristic, complemented
385	#2505	—	5	1	no	—
386	#2481	—	5	1	no	—
387	#2473	—	5	1	no	—
388	#2450	—	5	1	no	—
389	#2449	—	5	1	no	—
390	#2444	—	5	1	no	—
391	#2443	—	5	1	no	—
392	#2321	—	5	1	no	—
393	#2321	—	5	1	no	—
394	C₂×#380	—	5	1	no	—
395	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
396	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
397	C₂³×D₅	—	2	2	no	—
398	C₂³×D₅	—	2	2	no	—
399	C₂³×D₅	—	4	1	no	—
400	C₂³×D₅	—	4	1	no	—
401	C₂³×D₅	—	4	1	no	—
402	C₂³×D₅	—	4	1	no	—
403	C₂³×D₅	#41	1	4	yes	—
404	C₂³×D₅	C₂⁴	1	1	yes	characteristic
405	C₂³×D₅	C₂⁴	1	1	yes	characteristic
406	C₂³×D₅	C₂⁴	1	1	yes	characteristic
407	C₂×C₅×D₄	—	2	2	no	—
408	C₂×C₅×D₄	—	2	2	no	—
409	C₂×C₅×D₄	—	2	2	no	—
410	C₂²×C₄×C₅	—	2	2	no	—
411	C₂²×C₄×C₅	—	2	2	no	—
412	C₂²×C₄×C₅	—	2	2	no	—
413	C₂²×C₄×C₅	—	4	1	no	—
414	C₂²×C₄×C₅	—	4	1	no	—
415	C₂²×C₄×C₅	—	4	1	no	—
416	C₂²×C₄×C₅	—	4	1	no	—
417	C₂²×C₄×C₅	—	4	1	no	—
418	C₂²×C₄×C₅	—	4	1	no	—
419	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
432	C₂×C₂²⋊D₅	—	2	2	no	—
433	C₂×C₂²⋊D₅	—	2	2	no	—
434	C₂×C₂²⋊D₅	—	2	2	no	—
435	C₂×C₂²⋊D₅	—	2	2	no	—
436	C₂×C₂²⋊D₅	—	2	2	no	—
437	C₂×C₂²⋊D₅	—	4	1	no	—
438	C₂×C₂²⋊D₅	—	4	1	no	—
439	C₂×C₂²⋊D₅	—	4	1	no	—
440	C₂×C₂²⋊D₅	—	4	1	no	—
441	C₂×C₂²⋊D₅	—	4	1	no	—
442	C₂×C₂²⋊D₅	—	4	1	no	—
443	C₂×C₂²⋊D₅	—	4	1	no	—
444	C₂²×Dic₅	—	2	2	no	—
445	C₂²×Dic₅	—	2	2	no	—
446	C₂²×Dic₅	—	2	2	no	—
447	C₂²×Dic₅	—	2	2	no	—
448	C₂²×Dic₅	—	2	2	no	—
449	C₂²×Dic₅	—	4	1	no	—
450	C₂²×Dic₅	—	4	1	no	—
451	C₂²×Dic₅	—	4	1	no	—
452	C₂²×Dic₅	—	4	1	no	—
453	C₂²×Dic₅	—	4	1	no	—
454	C₂²×Dic₅	—	4	1	no	—
455	C₂²×Dic₅	—	4	1	no	—
456	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
457	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
458	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
459	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
460	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
463	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₂₀	—	2	2	no	—
470	C₂×D₂₀	—	2	2	no	—
471	C₂×D₂₀	—	4	1	no	—
472	C₂×D₂₀	—	4	1	no	—
473	C₂×D₂₀	—	4	1	no	—
474	C₂×D₂₀	—	4	1	no	—
475	C₂×C₄×D₅	—	2	2	no	—
476	C₂×C₄×D₅	—	2	2	no	—
477	C₂×C₄×D₅	—	2	2	no	—
478	C₂×C₄×D₅	—	2	2	no	—
479	C₂×C₄×D₅	—	2	2	no	—
480	C₂×C₄×D₅	—	2	2	no	—
481	C₂×C₄×D₅	—	2	2	no	—
482	C₂×C₄×D₅	—	2	2	no	—
483	C₂×C₄×D₅	—	4	1	no	—
484	C₂×C₄×D₅	—	4	1	no	—
485	C₂×C₄×D₅	—	4	1	no	—
486	C₂×C₄×D₅	—	4	1	no	—
487	C₂×C₄×D₅	—	4	16	no	—
488	C₂×C₄×D₅	—	4	1	no	—
489	C₂×C₄×D₅	—	4	1	no	—
490	C₂×C₄×D₅	—	4	1	no	—
491	C₂×Dic₁₀	—	4	1	no	—
492	C₂×Dic₁₀	—	4	1	no	—
493	C₂×Dic₁₀	—	4	1	no	—
494	C₅×C₄⋊C₄	—	4	1	no	—
495	C₅×C₄⋊C₄	—	4	1	no	—
496	C₅×C₄⋊C₄	—	4	1	no	—
497	C₅×C₄⋊C₄	—	4	1	no	—
498	C₅×C₂²⋊C₄	—	2	2	no	—
499	C₅×C₂²⋊C₄	—	2	2	no	—
500	C₅×C₂²⋊C₄	—	2	2	no	—
501	C₅×C₂²⋊C₄	—	4	1	no	—
502	C₅×C₂²⋊C₄	—	4	1	no	—
503	C₅×C₂²⋊C₄	—	4	1	no	—
504	C₅×C₂²⋊C₄	—	4	1	no	—
505	C₅×C₂²⋊C₄	—	4	1	no	—
506	C₅×C₂²⋊C₄	—	4	1	no	—
507	C₄²×C₅	—	4	1	no	—
508	C₄²×C₅	—	4	1	no	—
509	C₂²⋊Dic₅	—	2	2	no	—
510	C₂²⋊Dic₅	—	2	2	no	—
511	C₂²⋊Dic₅	—	2	2	no	—
512	C₂²⋊Dic₅	—	2	2	no	—
513	C₂²⋊Dic₅	—	2	2	no	—
514	C₂²⋊Dic₅	—	4	1	no	—
515	C₂²⋊Dic₅	—	4	1	no	—
516	#685	—	2	2	no	—
517	#685	—	2	2	no	—
518	#685	—	2	2	no	—
519	#685	—	2	2	no	—
520	#685	—	2	2	no	—
521	#685	—	2	2	no	—
522	#685	—	4	1	no	—
523	#685	—	4	1	no	—
524	#685	—	4	1	no	—
525	#685	—	4	1	no	—
526	#685	—	4	1	no	—
527	#685	—	4	1	no	—
528	#685	—	4	1	no	—
529	#685	—	4	1	no	—
530	#685	—	4	1	no	—
531	#685	—	4	1	no	—
532	#685	—	4	1	no	—
533	#685	—	4	1	no	—
534	#685	—	4	1	no	—
535	#685	—	4	1	no	—
536	#685	—	4	1	no	—
537	#685	—	4	1	no	—
538	#685	—	4	1	no	—
539	#685	—	4	1	no	—
540	#685	—	4	1	no	—
541	#685	—	4	1	no	—
542	#685	—	4	1	no	—
543	#685	—	4	1	no	—
544	#685	—	4	1	no	—
545	#685	—	4	1	no	—
546	C₄⋊Dic₅	—	2	2	no	—
547	C₄⋊Dic₅	—	2	2	no	—
548	C₄⋊Dic₅	—	4	1	no	—
549	C₄⋊Dic₅	—	4	1	no	—
550	C₄⋊Dic₅	—	4	1	no	—
551	C₄⋊Dic₅	—	4	1	no	—
552	C₄⋊Dic₅	—	4	1	no	—
553	C₄⋊Dic₅	—	4	1	no	—
554	C₄⋊Dic₅	—	4	1	no	—
555	C₄⋊Dic₅	—	4	1	no	—
556	#683	—	2	2	no	—
557	#683	—	2	2	no	—
558	#683	—	2	2	no	—
559	#683	—	2	2	no	—
560	#683	—	2	2	no	—
561	#683	—	2	2	no	—
562	#683	—	4	1	no	—
563	#683	—	4	1	no	—
564	#683	—	4	1	no	—
565	#683	—	4	1	no	—
566	#683	—	4	1	no	—
567	#683	—	4	1	no	—
568	#683	—	4	1	no	—
569	#683	—	4	1	no	—
570	#683	—	4	1	no	—
571	#683	—	4	1	no	—
572	#683	—	4	1	no	—
573	#683	—	4	1	no	—
574	#683	—	4	1	no	—
575	#683	—	4	1	no	—
576	C₄×Dic₅	—	4	1	no	—
577	C₄×Dic₅	—	4	1	no	—
578	C₄×Dic₅	—	4	1	no	—
579	C₄×Dic₅	—	4	1	no	—
580	C₂⁴×C₄	—	5	1	no	—
581	C₂×#126	—	5	1	no	—
582	C₂×#125	—	5	1	no	—
583	C₂×#123	—	5	1	no	—
584	C₂×#123	—	5	1	no	—
585	C₂×#123	—	5	1	no	—
586	C₂×#123	—	5	1	no	—
587	C₂×#123	—	5	1	no	—
588	C₂×C₂²⋊Q₈	—	5	1	no	—
589	C₂×C₂²⋊Q₈	—	5	1	no	—
590	C₂×#121	—	5	1	no	—
591	C₂×#120	—	5	1	no	—
592	C₂×#120	—	5	1	no	—
593	C₂×C₄×D₄	—	5	1	no	—
594	C₂×C₄×D₄	—	5	1	no	—
595	C₂²×C₄⋊C₄	—	5	1	no	—
596	C₂²×C₄⋊C₄	—	5	1	no	—
597	C₂²×C₂²⋊C₄	—	5	1	no	—
598	C₂²×C₂²⋊C₄	—	5	1	no	—
599	#401	C₂×D₅	1	1	yes	characteristic, complemented
600	#400	—	5	1	no	—
601	#400	—	5	1	no	—
602	#400	—	5	1	no	—
603	#400	—	5	1	no	—
604	#400	—	5	1	no	—
605	#400	—	5	1	no	—
606	#400	—	5	1	no	—
607	#400	—	5	1	no	—
608	#400	C₂×D₅	1	1	yes	characteristic, complemented
609	#399	—	5	1	no	—
610	#399	—	5	1	no	—
611	#399	—	5	1	no	—
612	#399	—	5	1	no	—
613	#398	—	5	1	no	—
614	#398	—	5	1	no	—
615	#398	—	5	1	no	—
616	#398	—	5	1	no	—
617	#398	—	5	1	no	—
618	#398	—	5	1	no	—
619	#398	—	5	1	no	—
620	#397	—	5	1	no	—
621	#397	—	5	1	no	—
622	#397	—	5	1	no	—
623	#397	—	5	1	no	—
624	#397	—	5	1	no	—
625	#397	—	5	1	no	—
626	#397	C₂×D₅	1	1	yes	characteristic, complemented
627	#397	C₂×D₅	1	1	yes	characteristic, complemented
628	#396	—	5	1	no	—
629	#396	—	5	1	no	—
630	#396	—	5	1	no	—
631	#396	—	5	1	no	—
632	#396	—	5	1	no	—
633	#396	—	5	1	no	—
634	#396	—	5	1	no	—
635	#395	—	5	1	no	—
636	#394	—	5	1	no	—
637	#394	—	5	1	no	—
638	#394	—	5	1	no	—
639	#394	—	5	1	no	—
640	#394	—	5	1	no	—
641	#394	—	5	1	no	—
642	#393	—	5	1	no	—
643	#393	—	5	1	no	—
644	#393	—	5	1	no	—
645	#392	—	5	1	no	—
646	#392	—	5	1	no	—
647	#391	—	5	1	no	—
648	#390	—	5	1	no	—
649	#390	—	5	1	no	—
650	#390	—	5	1	no	—
651	#390	—	5	1	no	—
652	#389	—	5	1	no	—
653	#389	—	5	1	no	—
654	#389	—	5	1	no	—
655	#388	—	5	1	no	—
656	#388	—	5	1	no	—
657	#388	—	5	1	no	—
658	#388	—	5	1	no	—
659	#388	—	5	1	no	—
660	#388	—	5	1	no	—
661	#388	—	5	1	no	—
662	#388	—	5	1	no	—
663	#388	—	5	1	no	—
664	#388	—	5	1	no	—
665	#388	—	5	1	no	—
666	#388	C₂×D₅	1	1	yes	characteristic, complemented
667	#388	C₂×D₅	1	1	yes	characteristic, complemented
668	#387	—	5	1	no	—
669	#387	—	5	1	no	—
670	#387	—	5	1	no	—
671	#387	—	5	1	no	—
672	#387	—	5	1	no	—
673	#387	—	5	1	no	—
674	#387	—	5	1	no	—
675	#387	—	5	1	no	—
676	#387	—	5	1	no	—
677	#387	—	5	1	no	—
678	#387	C₂×D₅	1	1	yes	characteristic, complemented
679	#386	—	5	1	no	—
680	#386	—	5	1	no	—
681	#386	—	5	1	no	—
682	#386	—	5	1	no	—
683	#386	—	5	1	no	—
684	#386	—	5	1	no	—
685	#386	—	5	1	no	—
686	#386	—	5	1	no	—
687	#386	—	5	1	no	—
688	#386	—	5	1	no	—
689	#386	—	5	1	no	—
690	#386	—	5	1	no	—
691	#386	—	5	1	no	—
692	#386	—	5	1	no	—
693	#386	C₂×D₅	1	1	yes	characteristic
694	#386	C₂×D₅	1	1	yes	characteristic
695	#386	C₂×D₅	1	1	yes	characteristic
696	#385	—	5	1	no	—
697	#385	—	5	1	no	—
698	#385	—	5	1	no	—
699	#385	—	5	1	no	—
700	#385	—	5	1	no	—
701	#385	—	5	1	no	—
702	#385	—	5	1	no	—
703	#385	—	5	1	no	—
704	#385	—	5	1	no	—
705	#385	—	5	1	no	—
706	#385	—	5	1	no	—
707	#385	—	5	1	no	—
708	#385	—	5	1	no	—
709	#385	—	5	1	no	—
710	#385	C₂×D₅	1	1	yes	characteristic
711	#383	C₂×D₅	1	1	yes	characteristic, complemented
712	#382	—	5	1	no	—
713	#381	—	5	1	no	—
714	#381	—	5	1	no	—
715	#381	—	5	1	no	—
716	#381	—	5	1	no	—
717	#381	—	5	1	no	—
718	#380	—	5	1	no	—
719	#380	—	5	1	no	—
720	#380	—	5	1	no	—
721	#380	—	5	1	no	—
722	#380	—	5	1	no	—
723	#380	—	5	1	no	—
724	#380	—	5	1	no	—
725	#380	—	5	1	no	—
726	#380	—	5	1	no	—
727	#380	—	5	1	no	—
728	#380	C₂×D₅	1	1	yes	characteristic
729	#379	—	5	1	no	—
730	#379	—	5	1	no	—
731	C₄×C₂²⋊C₄	—	5	1	no	—
732	C₄×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
733	C₂×#95	—	5	1	no	—
734	C₂×#95	C₂×D₅	1	1	yes	characteristic
735	C₂³×C₅	—	2	1	no	—
736	C₂³×C₅	—	2	1	no	—
737	C₂³×C₅	—	2	1	no	—
738	C₂³×C₅	—	2	1	no	—
739	C₂³×C₅	—	2	1	no	—
740	C₂³×C₅	—	2	1	no	—
741	C₂³×C₅	—	2	1	no	—
742	C₂³×C₅	—	2	1	no	—
743	C₂³×C₅	—	2	1	no	—
744	C₂³×C₅	—	2	1	no	—
745	C₂³×C₅	—	2	1	no	—
746	C₂³×C₅	C₂×#41	1	2	yes	—
747	C₂³×C₅	H(5,𝔽₂)	1	2	yes	—
748	C₂³×C₅	2₋¹⁺⁴	1	2	yes	—
749	C₂³×C₅	C₂⁵	1	1	yes	characteristic
750	C₂²×D₅	—	2	8	no	—
751	C₂²×D₅	—	2	1	no	—
752	C₂²×D₅	—	2	1	no	—
753	C₂²×D₅	—	2	1	no	—
754	C₂²×D₅	—	2	1	no	—
755	C₂²×D₅	—	2	1	no	—
756	C₂²×D₅	—	2	1	no	—
757	C₂²×D₅	—	2	1	no	—
758	C₂²×D₅	—	2	1	no	—
759	C₂²×D₅	—	2	1	no	—
760	C₂²×D₅	—	2	1	no	—
761	C₂²×D₅	—	2	1	no	—
762	C₂²×D₅	—	2	1	no	—
763	C₂²×D₅	—	2	1	no	—
764	C₂²×D₅	—	2	1	no	—
765	C₂²×D₅	—	2	1	no	—
766	C₂²×D₅	—	2	1	no	—
767	C₂²×D₅	—	2	1	no	—
768	C₂²×D₅	—	2	1	no	—
769	C₂²×D₅	—	2	1	no	—
770	C₂²×D₅	—	4	4	no	—
771	C₂²×D₅	—	4	4	no	—
772	C₂²×D₅	—	4	4	no	—
773	C₂²×D₅	—	4	4	no	—
774	C₂²×D₅	—	4	4	no	—
775	C₂²×D₅	—	4	4	no	—
776	C₂²×D₅	C₂×#41	1	2	yes	—
777	C₂²×D₅	C₂×#41	1	2	yes	—
778	C₅×D₄	—	4	4	no	—
779	C₂×C₄×C₅	—	2	1	no	—
780	C₂×C₄×C₅	—	2	1	no	—
781	C₂×C₄×C₅	—	2	1	no	—
782	C₂×C₄×C₅	—	2	1	no	—
783	C₂×C₄×C₅	—	2	1	no	—
784	C₂×C₄×C₅	—	2	1	no	—
785	C₂×C₄×C₅	—	2	1	no	—
786	C₂×C₄×C₅	—	2	1	no	—
787	C₂×C₄×C₅	—	2	1	no	—
788	C₂×C₄×C₅	—	2	1	no	—
789	C₂×C₄×C₅	—	2	1	no	—
790	C₂×C₄×C₅	—	2	1	no	—
791	C₂×C₄×C₅	—	2	1	no	—
792	C₂×C₄×C₅	—	2	1	no	—
793	C₂×C₄×C₅	—	2	1	no	—
794	C₂×C₄×C₅	—	2	1	no	—
795	C₂×C₄×C₅	—	2	1	no	—
796	C₂×C₄×C₅	—	2	1	no	—
797	C₂×C₄×C₅	—	2	1	no	—
798	C₂×C₄×C₅	—	2	1	no	—
799	C₂×C₄×C₅	—	2	1	no	—
800	C₂×C₄×C₅	—	2	1	no	—
801	C₂×C₄×C₅	—	2	1	no	—
802	C₂×C₄×C₅	—	2	1	no	—
803	C₂×C₄×C₅	—	2	1	no	—
804	C₂×C₄×C₅	—	2	1	no	—
805	C₂×C₄×C₅	—	2	1	no	—
806	C₂×C₄×C₅	—	2	1	no	—
807	C₂×C₄×C₅	—	2	1	no	—
808	C₂×C₄×C₅	—	2	1	no	—
809	C₂×C₄×C₅	—	2	1	no	—
810	C₂×C₄×C₅	—	2	1	no	—
811	C₂×C₄×C₅	—	2	1	no	—
812	C₂×C₄×C₅	—	2	1	no	—
813	C₂×C₄×C₅	—	2	1	no	—
814	C₂×C₄×C₅	—	2	1	no	—
815	C₂×C₄×C₅	—	2	1	no	—
816	C₂×C₄×C₅	—	2	1	no	—
817	C₂×C₄×C₅	—	2	1	no	—
818	C₂×C₄×C₅	—	4	4	no	—
819	C₂×C₄×C₅	—	8	2	no	—
820	C₂×C₄×C₅	—	8	2	no	—
821	C₂²⋊D₅	—	4	4	no	—
822	C₂²⋊D₅	—	8	2	no	—
823	C₂²⋊D₅	—	8	2	no	—
824	C₂²⋊D₅	—	8	2	no	—
825	C₂×Dic₅	—	2	8	no	—
826	C₂×Dic₅	—	2	1	no	—
827	C₂×Dic₅	—	2	1	no	—
828	C₂×Dic₅	—	2	1	no	—
829	C₂×Dic₅	—	2	1	no	—
830	C₂×Dic₅	—	2	1	no	—
831	C₂×Dic₅	—	2	1	no	—
832	C₂×Dic₅	—	2	1	no	—
833	C₂×Dic₅	—	2	1	no	—
834	C₂×Dic₅	—	2	1	no	—
835	C₂×Dic₅	—	2	1	no	—
836	C₂×Dic₅	—	2	1	no	—
837	C₂×Dic₅	—	2	1	no	—
838	C₂×Dic₅	—	2	1	no	—
839	C₂×Dic₅	—	2	1	no	—
840	C₂×Dic₅	—	2	1	no	—
841	C₂×Dic₅	—	2	1	no	—
842	C₂×Dic₅	—	2	1	no	—
843	C₂×Dic₅	—	2	1	no	—
844	C₂×Dic₅	—	2	1	no	—
845	C₂×Dic₅	—	2	1	no	—
846	C₂×Dic₅	—	2	1	no	—
847	C₂×Dic₅	—	2	1	no	—
848	C₂×Dic₅	—	2	1	no	—
849	C₂×Dic₅	—	2	1	no	—
850	C₂×Dic₅	—	2	1	no	—
851	C₂×Dic₅	—	2	1	no	—
852	C₂×Dic₅	—	2	1	no	—
853	C₂×Dic₅	—	2	1	no	—
854	C₂×Dic₅	—	2	1	no	—
855	C₂×Dic₅	—	2	1	no	—
856	C₂×Dic₅	—	2	1	no	—
857	C₂×Dic₅	—	2	1	no	—
858	C₂×Dic₅	—	2	1	no	—
859	C₂×Dic₅	—	2	1	no	—
860	C₂×Dic₅	—	2	1	no	—
861	C₂×Dic₅	—	2	1	no	—
862	C₂×Dic₅	—	2	1	no	—
863	C₂×Dic₅	—	8	2	no	—
864	C₂×Dic₅	—	8	2	no	—
865	C₂×Dic₅	—	8	2	no	—
866	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
867	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
868	D₂₀	—	8	2	no	—
869	D₂₀	—	8	2	no	—
870	C₄×D₅	—	4	4	no	—
871	C₄×D₅	—	4	4	no	—
872	C₄×D₅	—	4	4	no	—
873	C₄×D₅	—	4	4	no	—
874	C₄×D₅	—	8	2	no	—
875	Dic₁₀	—	8	2	no	—
876	C₂⁵	—	5	1	no	—
877	C₂²×Q₈	—	5	1	no	—
878	C₂²×D₄	—	5	1	no	—
879	C₂²×D₄	—	5	1	no	—
880	C₂²×D₄	—	5	1	no	—
881	C₂²×D₄	—	5	1	no	—
882	C₂²×D₄	—	5	1	no	—
883	C₂²×D₄	—	5	1	no	—
884	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
885	C₂³×C₄	—	5	1	no	—
886	C₂³×C₄	—	5	1	no	—
887	C₂³×C₄	—	5	1	no	—
888	C₂³×C₄	—	5	1	no	—
889	C₂³×C₄	—	5	1	no	—
890	C₂³×C₄	—	5	1	no	—
891	C₂³×C₄	—	5	1	no	—
892	C₂³×C₄	—	5	1	no	—
893	C₂³×C₄	—	5	1	no	—
894	C₂³×C₄	—	10	4	no	—
895	C₂³×C₄	—	20	2	no	—
896	C₂³×C₄	—	20	2	no	—
897	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
898	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
899	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
900	#126	—	20	2	no	—
901	#125	—	20	2	no	—
902	#123	—	20	2	no	—
903	#123	—	20	2	no	—
904	#123	—	20	2	no	—
905	#123	—	20	2	no	—
906	#123	—	20	2	no	—
907	C₂²⋊Q₈	—	20	2	no	—
908	C₂²⋊Q₈	—	20	2	no	—
909	#121	—	20	2	no	—
910	#120	—	10	4	no	—
911	#120	—	10	4	no	—
912	C₄×D₄	—	20	2	no	—
913	C₄×D₄	—	20	2	no	—
914	C₂×C₄⋊C₄	—	5	1	no	—
915	C₂×C₄⋊C₄	—	5	1	no	—
916	C₂×C₄⋊C₄	—	5	1	no	—
917	C₂×C₄⋊C₄	—	5	1	no	—
918	C₂×C₄⋊C₄	—	5	1	no	—
919	C₂×C₄⋊C₄	—	5	1	no	—
920	C₂×C₄⋊C₄	—	5	1	no	—
921	C₂×C₄⋊C₄	—	5	1	no	—
922	C₂×C₄⋊C₄	—	5	1	no	—
923	C₂×C₄⋊C₄	—	5	1	no	—
924	C₂×C₄⋊C₄	—	5	1	no	—
925	C₂×C₄⋊C₄	—	5	1	no	—
926	C₂×C₄⋊C₄	—	5	1	no	—
927	C₂×C₄⋊C₄	—	5	1	no	—
928	C₂×C₄⋊C₄	—	5	1	no	—
929	C₂×C₄⋊C₄	—	5	1	no	—
930	C₂×C₄⋊C₄	—	5	1	no	—
931	C₂×C₄⋊C₄	—	5	1	no	—
932	C₂×C₄⋊C₄	—	5	1	no	—
933	C₂×C₄⋊C₄	—	5	1	no	—
934	C₂×C₄⋊C₄	—	5	1	no	—
935	C₂×C₄⋊C₄	—	5	1	no	—
936	C₂×C₄⋊C₄	—	5	1	no	—
937	C₂×C₄⋊C₄	—	5	1	no	—
938	C₂×C₄⋊C₄	—	5	1	no	—
939	C₂×C₄⋊C₄	—	5	1	no	—
940	C₂×C₄⋊C₄	—	5	1	no	—
941	C₂×C₄⋊C₄	—	5	1	no	—
942	C₂×C₄⋊C₄	—	5	1	no	—
943	C₂×C₄⋊C₄	—	5	1	no	—
944	C₂×C₄⋊C₄	—	20	2	no	—
945	C₂×C₄⋊C₄	—	20	2	no	—
946	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
950	C₂×C₂²⋊C₄	—	5	1	no	—
951	C₂×C₂²⋊C₄	—	5	1	no	—
952	C₂×C₂²⋊C₄	—	5	1	no	—
953	C₂×C₂²⋊C₄	—	5	1	no	—
954	C₂×C₂²⋊C₄	—	5	1	no	—
955	C₂×C₂²⋊C₄	—	5	1	no	—
956	C₂×C₂²⋊C₄	—	5	1	no	—
957	C₂×C₂²⋊C₄	—	5	1	no	—
958	C₂×C₂²⋊C₄	—	5	1	no	—
959	C₂×C₂²⋊C₄	—	5	1	no	—
960	C₂×C₂²⋊C₄	—	5	1	no	—
961	C₂×C₂²⋊C₄	—	5	1	no	—
962	C₂×C₂²⋊C₄	—	5	1	no	—
963	C₂×C₂²⋊C₄	—	5	1	no	—
964	C₂×C₂²⋊C₄	—	5	1	no	—
965	C₂×C₂²⋊C₄	—	5	1	no	—
966	C₂×C₂²⋊C₄	—	5	1	no	—
967	C₂×C₂²⋊C₄	—	5	1	no	—
968	C₂×C₂²⋊C₄	—	5	1	no	—
969	C₂×C₂²⋊C₄	—	5	1	no	—
970	C₂×C₂²⋊C₄	—	5	1	no	—
971	C₂×C₂²⋊C₄	—	5	1	no	—
972	C₂×C₂²⋊C₄	—	5	1	no	—
973	C₂×C₂²⋊C₄	—	5	1	no	—
974	C₂×C₂²⋊C₄	—	5	1	no	—
975	C₂×C₂²⋊C₄	—	5	1	no	—
976	C₂×C₂²⋊C₄	—	5	1	no	—
977	C₂×C₂²⋊C₄	—	5	1	no	—
978	C₂×C₂²⋊C₄	—	5	1	no	—
979	C₂×C₂²⋊C₄	—	5	1	no	—
980	C₂×C₂²⋊C₄	—	5	1	no	—
981	C₂×C₂²⋊C₄	—	5	1	no	—
982	C₂×C₂²⋊C₄	—	5	1	no	—
983	C₂×C₂²⋊C₄	—	5	1	no	—
984	C₂×C₂²⋊C₄	—	5	1	no	—
985	C₂×C₂²⋊C₄	—	5	1	no	—
986	C₂×C₂²⋊C₄	—	5	1	no	—
987	C₂×C₂²⋊C₄	—	20	2	no	—
988	C₂×C₂²⋊C₄	—	20	2	no	—
989	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
998	C₂×C₄²	—	5	1	no	—
999	C₂×C₄²	—	5	1	no	—
1000	C₂×C₄²	—	5	1	no	—
1001	C₂×C₄²	—	5	1	no	—
1002	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1003	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1004	#95	—	5	1	no	—
1005	#95	—	5	1	no	—
1006	#95	—	5	1	no	—
1007	#95	—	5	1	no	—
1008	#95	—	5	1	no	—
1009	#95	—	5	1	no	—
1010	#95	—	5	1	no	—
1011	#95	—	5	1	no	—
1012	#95	—	5	1	no	—
1013	#95	—	5	1	no	—
1014	#95	—	5	1	no	—
1015	#95	—	5	1	no	—
1016	#95	—	5	1	no	—
1017	#95	—	5	1	no	—
1018	#95	—	5	1	no	—
1019	#95	—	5	1	no	—
1020	#95	—	5	1	no	—
1021	#95	—	5	1	no	—
1022	#95	—	5	1	no	—
1023	#95	—	5	1	no	—
1024	#95	—	5	1	no	—
1025	#95	—	5	1	no	—
1026	#95	—	5	1	no	—
1027	#95	—	5	1	no	—
1028	#95	—	5	1	no	—
1029	#95	—	5	1	no	—
1030	#95	—	5	1	no	—
1031	#95	—	5	1	no	—
1032	#95	—	5	1	no	—
1033	#95	—	5	1	no	—
1034	#95	—	5	1	no	—
1035	#95	—	5	1	no	—
1036	#95	C₂²×D₅	1	1	yes	characteristic
1037	#95	C₂²×D₅	1	1	yes	characteristic
1038	#95	C₂²×D₅	1	1	yes	characteristic
1039	#95	C₂²×D₅	1	1	yes	characteristic
1040	#95	C₂²×D₅	1	1	yes	characteristic
1041	#95	C₂²×D₅	1	1	yes	characteristic
1042	#95	C₂²×D₅	1	1	yes	characteristic
1043	#95	C₂²×D₅	1	1	yes	characteristic
1044	#95	C₂²×D₅	1	1	yes	characteristic
1045	#95	C₂²×D₅	1	1	yes	characteristic
1046	#95	C₂²×D₅	1	1	yes	characteristic
1047	#95	C₂²×D₅	1	1	yes	characteristic
1048	#95	C₂²×D₅	1	1	yes	characteristic
1049	#95	C₂²×D₅	1	1	yes	characteristic
1050	#95	C₂²×D₅	1	1	yes	characteristic
1051	#95	C₂²×D₅	1	1	yes	characteristic
1052	C₂²×C₅	—	2	2	no	—
1053	C₂²×C₅	—	2	2	no	—
1054	C₂²×C₅	—	2	2	no	—
1055	C₂²×C₅	—	2	2	no	—
1056	C₂²×C₅	—	2	2	no	—
1057	C₂²×C₅	—	2	2	no	—
1058	C₂²×C₅	—	4	1	no	—
1059	C₂²×C₅	—	4	1	no	—
1060	C₂²×C₅	—	4	1	no	—
1061	C₂²×C₅	—	4	1	no	—
1062	C₂²×C₅	—	4	1	no	—
1063	C₂²×C₅	—	4	1	no	—
1064	C₂²×C₅	—	4	1	no	—
1065	C₂²×C₅	#539	1	4	yes	—
1066	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1067	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1068	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1069	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1070	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1071	C₂²×C₅	#585	1	1	yes	characteristic
1072	C₂²×C₅	#585	1	1	yes	characteristic
1073	C₂×D₅	—	2	2	no	—
1074	C₂×D₅	—	2	2	no	—
1075	C₂×D₅	—	2	2	no	—
1076	C₂×D₅	—	2	2	no	—
1077	C₂×D₅	—	2	2	no	—
1078	C₂×D₅	—	2	2	no	—
1079	C₂×D₅	—	4	16	no	—
1080	C₂×D₅	—	4	1	no	—
1081	C₂×D₅	—	4	1	no	—
1082	C₂×D₅	—	4	1	no	—
1083	C₂×D₅	—	4	1	no	—
1084	C₂×D₅	—	4	1	no	—
1085	C₂×D₅	—	4	1	no	—
1086	C₂×D₅	—	4	1	no	—
1087	C₂×D₅	—	4	1	no	—
1088	C₂×D₅	—	4	1	no	—
1089	C₂×D₅	—	4	1	no	—
1090	C₂×D₅	—	4	1	no	—
1091	C₂×D₅	—	4	1	no	—
1092	C₂×D₅	—	4	1	no	—
1093	C₂×D₅	—	4	1	no	—
1094	C₂×D₅	—	4	1	no	—
1095	C₄×C₅	—	4	1	no	—
1096	C₄×C₅	—	4	1	no	—
1097	C₄×C₅	—	4	1	no	—
1098	C₄×C₅	—	4	1	no	—
1099	C₄×C₅	—	4	1	no	—
1100	C₄×C₅	—	4	1	no	—
1101	C₄×C₅	—	4	1	no	—
1102	C₄×C₅	—	4	1	no	—
1103	C₄×C₅	—	4	1	no	—
1104	C₄×C₅	—	4	1	no	—
1105	C₄×C₅	—	4	1	no	—
1106	C₄×C₅	—	4	1	no	—
1107	C₄×C₅	—	4	1	no	—
1108	Dic₅	—	2	2	no	—
1109	Dic₅	—	2	2	no	—
1110	Dic₅	—	4	1	no	—
1111	Dic₅	—	4	1	no	—
1112	Dic₅	—	4	1	no	—
1113	Dic₅	—	4	1	no	—
1114	Dic₅	—	4	1	no	—
1115	Dic₅	—	4	1	no	—
1116	Dic₅	—	4	1	no	—
1117	Dic₅	—	4	1	no	—
1118	Dic₅	—	4	1	no	—
1119	Dic₅	—	4	1	no	—
1120	Dic₅	—	4	1	no	—
1121	C₂⁴	—	5	1	no	—
1122	C₂⁴	—	5	1	no	—
1123	C₂⁴	—	5	4	no	—
1124	C₂⁴	—	5	1	no	—
1125	C₂⁴	—	10	2	no	—
1126	C₂⁴	—	10	2	no	—
1127	C₂⁴	—	20	1	no	—
1128	C₂⁴	—	20	1	no	—
1129	C₂⁴	—	20	1	no	—
1130	C₂⁴	—	20	1	no	—
1131	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1132	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1133	C₂×Q₈	—	20	1	no	—
1134	C₂×Q₈	—	20	1	no	—
1135	C₂×Q₈	—	20	1	no	—
1136	C₂×D₄	—	2	2	no	—
1137	C₂×D₄	—	2	2	no	—
1138	C₂×D₄	—	2	2	no	—
1139	C₂×D₄	—	10	2	no	—
1140	C₂×D₄	—	10	2	no	—
1141	C₂×D₄	—	10	2	no	—
1142	C₂×D₄	—	10	2	no	—
1143	C₂×D₄	—	10	2	no	—
1144	C₂×D₄	—	10	2	no	—
1145	C₂×D₄	—	10	2	no	—
1146	C₂×D₄	—	20	1	no	—
1147	C₂×D₄	—	20	1	no	—
1148	C₂×D₄	—	20	1	no	—
1149	C₂×D₄	—	20	1	no	—
1150	C₂×D₄	—	20	1	no	—
1151	C₂×D₄	—	20	1	no	—
1152	C₂×D₄	—	20	1	no	—
1153	C₂×D₄	—	20	1	no	—
1154	C₂×D₄	—	20	1	no	—
1155	C₂×D₄	—	20	1	no	—
1156	C₂×D₄	—	20	1	no	—
1157	C₂²×C₄	—	2	2	no	—
1158	C₂²×C₄	—	2	2	no	—
1159	C₂²×C₄	—	2	2	no	—
1160	C₂²×C₄	—	4	1	no	—
1161	C₂²×C₄	—	4	1	no	—
1162	C₂²×C₄	—	4	1	no	—
1163	C₂²×C₄	—	4	1	no	—
1164	C₂²×C₄	—	4	1	no	—
1165	C₂²×C₄	—	4	1	no	—
1166	C₂²×C₄	—	5	1	no	—
1167	C₂²×C₄	—	5	1	no	—
1168	C₂²×C₄	—	5	1	no	—
1169	C₂²×C₄	—	5	1	no	—
1170	C₂²×C₄	—	5	1	no	—
1171	C₂²×C₄	—	5	1	no	—
1172	C₂²×C₄	—	5	1	no	—
1173	C₂²×C₄	—	5	1	no	—
1174	C₂²×C₄	—	5	1	no	—
1175	C₂²×C₄	—	5	1	no	—
1176	C₂²×C₄	—	5	1	no	—
1177	C₂²×C₄	—	5	1	no	—
1178	C₂²×C₄	—	5	1	no	—
1179	C₂²×C₄	—	10	2	no	—
1180	C₂²×C₄	—	10	2	no	—
1181	C₂²×C₄	—	10	2	no	—
1182	C₂²×C₄	—	10	2	no	—
1183	C₂²×C₄	—	10	2	no	—
1184	C₂²×C₄	—	10	2	no	—
1185	C₂²×C₄	—	10	2	no	—
1186	C₂²×C₄	—	10	2	no	—
1187	C₂²×C₄	—	10	2	no	—
1188	C₂²×C₄	—	10	2	no	—
1189	C₂²×C₄	—	10	2	no	—
1190	C₂²×C₄	—	10	2	no	—
1191	C₂²×C₄	—	10	2	no	—
1192	C₂²×C₄	—	20	1	no	—
1193	C₂²×C₄	—	20	1	no	—
1194	C₂²×C₄	—	20	1	no	—
1195	C₂²×C₄	—	20	1	no	—
1196	C₂²×C₄	—	20	1	no	—
1197	C₂²×C₄	—	20	1	no	—
1198	C₂²×C₄	—	20	1	no	—
1199	C₂²×C₄	—	20	16	no	—
1200	C₂²×C₄	—	20	1	no	—
1201	C₂²×C₄	—	20	1	no	—
1202	C₂²×C₄	—	20	1	no	—
1203	C₂²×C₄	—	20	1	no	—
1204	C₂²×C₄	—	20	1	no	—
1205	C₂²×C₄	—	20	1	no	—
1206	C₂²×C₄	—	20	1	no	—
1207	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1208	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1209	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1210	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1211	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1217	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1220	C₄⋊C₄	—	4	1	no	—
1221	C₄⋊C₄	—	4	1	no	—
1222	C₄⋊C₄	—	4	1	no	—
1223	C₄⋊C₄	—	4	1	no	—
1224	C₄⋊C₄	—	10	2	no	—
1225	C₄⋊C₄	—	10	2	no	—
1226	C₄⋊C₄	—	10	2	no	—
1227	C₄⋊C₄	—	10	2	no	—
1228	C₄⋊C₄	—	10	2	no	—
1229	C₄⋊C₄	—	10	2	no	—
1230	C₄⋊C₄	—	10	2	no	—
1231	C₄⋊C₄	—	10	2	no	—
1232	C₄⋊C₄	—	20	1	no	—
1233	C₄⋊C₄	—	20	1	no	—
1234	C₄⋊C₄	—	20	1	no	—
1235	C₄⋊C₄	—	20	1	no	—
1236	C₄⋊C₄	—	20	1	no	—
1237	C₄⋊C₄	—	20	1	no	—
1238	C₄⋊C₄	—	20	1	no	—
1239	C₄⋊C₄	—	20	1	no	—
1240	C₄⋊C₄	—	20	1	no	—
1241	C₄⋊C₄	—	20	1	no	—
1242	C₄⋊C₄	—	20	1	no	—
1243	C₄⋊C₄	—	20	1	no	—
1244	C₄⋊C₄	—	20	1	no	—
1245	C₄⋊C₄	—	20	1	no	—
1246	C₄⋊C₄	—	20	1	no	—
1247	C₄⋊C₄	—	20	1	no	—
1248	C₄⋊C₄	—	20	1	no	—
1249	C₄⋊C₄	—	20	1	no	—
1250	C₄⋊C₄	—	20	1	no	—
1251	C₄⋊C₄	—	20	1	no	—
1252	C₄⋊C₄	—	20	1	no	—
1253	C₄⋊C₄	—	20	1	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	4	1	no	—
1258	C₂²⋊C₄	—	4	1	no	—
1259	C₂²⋊C₄	—	4	1	no	—
1260	C₂²⋊C₄	—	4	1	no	—
1261	C₂²⋊C₄	—	4	1	no	—
1262	C₂²⋊C₄	—	4	1	no	—
1263	C₂²⋊C₄	—	10	2	no	—
1264	C₂²⋊C₄	—	10	2	no	—
1265	C₂²⋊C₄	—	10	2	no	—
1266	C₂²⋊C₄	—	10	2	no	—
1267	C₂²⋊C₄	—	10	2	no	—
1268	C₂²⋊C₄	—	10	2	no	—
1269	C₂²⋊C₄	—	10	2	no	—
1270	C₂²⋊C₄	—	10	2	no	—
1271	C₂²⋊C₄	—	10	2	no	—
1272	C₂²⋊C₄	—	10	2	no	—
1273	C₂²⋊C₄	—	10	2	no	—
1274	C₂²⋊C₄	—	20	1	no	—
1275	C₂²⋊C₄	—	20	1	no	—
1276	C₂²⋊C₄	—	20	1	no	—
1277	C₂²⋊C₄	—	20	1	no	—
1278	C₂²⋊C₄	—	20	1	no	—
1279	C₂²⋊C₄	—	20	1	no	—
1280	C₂²⋊C₄	—	20	1	no	—
1281	C₂²⋊C₄	—	20	1	no	—
1282	C₂²⋊C₄	—	20	1	no	—
1283	C₂²⋊C₄	—	20	1	no	—
1284	C₂²⋊C₄	—	20	1	no	—
1285	C₂²⋊C₄	—	20	1	no	—
1286	C₂²⋊C₄	—	20	1	no	—
1287	C₂²⋊C₄	—	20	1	no	—
1288	C₂²⋊C₄	—	20	1	no	—
1289	C₂²⋊C₄	—	20	1	no	—
1290	C₂²⋊C₄	—	20	1	no	—
1291	C₂²⋊C₄	—	20	1	no	—
1292	C₂²⋊C₄	—	20	1	no	—
1293	C₂²⋊C₄	—	20	1	no	—
1294	C₂²⋊C₄	—	20	1	no	—
1295	C₂²⋊C₄	—	20	1	no	—
1296	C₂²⋊C₄	—	20	1	no	—
1297	C₂²⋊C₄	—	20	1	no	—
1298	C₂²⋊C₄	—	20	1	no	—
1299	C₂²⋊C₄	—	20	1	no	—
1300	C₄²	—	4	1	no	—
1301	C₄²	—	4	1	no	—
1302	C₄²	—	20	1	no	—
1303	C₄²	—	20	1	no	—
1304	C₄²	—	20	1	no	—
1305	C₄²	—	20	1	no	—
1306	C₂×C₅	—	2	4	no	—
1307	C₂×C₅	—	8	1	no	—
1308	C₂×C₅	C₂×#539	1	1	yes	characteristic
1309	C₂×C₅	#3490	1	1	yes	characteristic
1310	C₂×C₅	#3491	1	1	yes	characteristic
1311	C₂×C₅	#3541	1	1	yes	characteristic
1312	C₂×C₅	#3541	1	1	yes	characteristic
1313	C₂×C₅	#3542	1	1	yes	characteristic
1314	C₂×C₅	#3542	1	1	yes	characteristic
1315	D₅	—	4	2	no	—
1316	D₅	—	4	2	no	—
1317	D₅	—	8	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	5	2	no	—
1330	C₂³	—	5	2	no	—
1331	C₂³	—	10	1	no	—
1332	C₂³	—	10	1	no	—
1333	C₂³	—	10	1	no	—
1334	C₂³	—	10	1	no	—
1335	C₂³	—	10	1	no	—
1336	C₂³	—	10	1	no	—
1337	C₂³	—	10	1	no	—
1338	C₂³	—	10	1	no	—
1339	C₂³	—	10	1	no	—
1340	C₂³	—	10	1	no	—
1341	C₂³	—	10	1	no	—
1342	C₂³	—	10	1	no	—
1343	C₂³	—	10	8	no	—
1344	C₂³	—	10	1	no	—
1345	C₂³	—	10	1	no	—
1346	C₂³	—	10	1	no	—
1347	C₂³	—	10	1	no	—
1348	C₂³	—	10	1	no	—
1349	C₂³	—	10	1	no	—
1350	C₂³	—	10	1	no	—
1351	C₂³	—	20	4	no	—
1352	C₂³	—	20	4	no	—
1353	C₂³	—	20	4	no	—
1354	C₂³	—	20	4	no	—
1355	C₂³	—	20	4	no	—
1356	C₂³	—	20	4	no	—
1357	C₂³	D₅×#41	1	2	yes	—
1358	C₂³	#4149	1	2	yes	—
1359	C₂³	#4150	1	2	yes	—
1360	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1361	Q₈	—	40	2	no	—
1362	D₄	—	4	4	no	—
1363	D₄	—	20	4	no	—
1364	D₄	—	40	2	no	—
1365	D₄	—	40	2	no	—
1366	D₄	—	40	2	no	—
1367	D₄	—	40	2	no	—
1368	D₄	—	40	2	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	4	4	no	—
1409	C₂×C₄	—	5	2	no	—
1410	C₂×C₄	—	5	2	no	—
1411	C₂×C₄	—	8	2	no	—
1412	C₂×C₄	—	8	2	no	—
1413	C₂×C₄	—	10	8	no	—
1414	C₂×C₄	—	10	1	no	—
1415	C₂×C₄	—	10	1	no	—
1416	C₂×C₄	—	10	1	no	—
1417	C₂×C₄	—	10	1	no	—
1418	C₂×C₄	—	10	1	no	—
1419	C₂×C₄	—	10	1	no	—
1420	C₂×C₄	—	10	1	no	—
1421	C₂×C₄	—	10	1	no	—
1422	C₂×C₄	—	10	1	no	—
1423	C₂×C₄	—	10	1	no	—
1424	C₂×C₄	—	10	1	no	—
1425	C₂×C₄	—	10	1	no	—
1426	C₂×C₄	—	10	1	no	—
1427	C₂×C₄	—	10	1	no	—
1428	C₂×C₄	—	10	1	no	—
1429	C₂×C₄	—	10	1	no	—
1430	C₂×C₄	—	10	1	no	—
1431	C₂×C₄	—	10	1	no	—
1432	C₂×C₄	—	10	1	no	—
1433	C₂×C₄	—	10	1	no	—
1434	C₂×C₄	—	10	1	no	—
1435	C₂×C₄	—	10	1	no	—
1436	C₂×C₄	—	10	1	no	—
1437	C₂×C₄	—	10	1	no	—
1438	C₂×C₄	—	10	1	no	—
1439	C₂×C₄	—	10	1	no	—
1440	C₂×C₄	—	10	1	no	—
1441	C₂×C₄	—	10	1	no	—
1442	C₂×C₄	—	10	1	no	—
1443	C₂×C₄	—	10	1	no	—
1444	C₂×C₄	—	10	1	no	—
1445	C₂×C₄	—	10	1	no	—
1446	C₂×C₄	—	10	1	no	—
1447	C₂×C₄	—	10	1	no	—
1448	C₂×C₄	—	10	1	no	—
1449	C₂×C₄	—	10	1	no	—
1450	C₂×C₄	—	10	1	no	—
1451	C₂×C₄	—	20	4	no	—
1452	C₂×C₄	—	20	4	no	—
1453	C₂×C₄	—	20	4	no	—
1454	C₂×C₄	—	20	4	no	—
1455	C₂×C₄	—	40	2	no	—
1456	C₂×C₄	—	40	2	no	—
1457	C₂×C₄	—	40	2	no	—
1458	C₂×C₄	—	40	2	no	—
1459	C₅	#36726	1	1	yes	characteristic, complemented, Sylow
1460	C₂²	—	2	2	no	—
1461	C₂²	—	2	2	no	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	2	2	no	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	10	2	no	—
1474	C₂²	—	10	2	no	—
1475	C₂²	—	10	2	no	—
1476	C₂²	—	10	2	no	—
1477	C₂²	—	10	2	no	—
1478	C₂²	—	10	2	no	—
1479	C₂²	—	20	16	no	—
1480	C₂²	—	20	1	no	—
1481	C₂²	—	20	1	no	—
1482	C₂²	—	20	1	no	—
1483	C₂²	—	20	1	no	—
1484	C₂²	—	20	1	no	—
1485	C₂²	—	20	1	no	—
1486	C₂²	—	20	1	no	—
1487	C₂²	—	20	1	no	—
1488	C₂²	—	20	1	no	—
1489	C₂²	—	20	1	no	—
1490	C₂²	—	20	1	no	—
1491	C₂²	—	20	1	no	—
1492	C₂²	—	20	1	no	—
1493	C₂²	—	20	1	no	—
1494	C₂²	—	20	1	no	—
1495	C₂²	#66041	1	4	yes	—
1496	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1497	C₂²	C₂×#4149	1	1	yes	characteristic
1498	C₂²	C₂×#4150	1	1	yes	characteristic
1499	C₂²	#66283	1	1	yes	characteristic
1500	C₂²	#66283	1	1	yes	characteristic
1501	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1502	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	4	1	no	—
1515	C₄	—	4	1	no	—
1516	C₄	—	10	2	no	—
1517	C₄	—	10	2	no	—
1518	C₄	—	20	1	no	—
1519	C₄	—	20	1	no	—
1520	C₄	—	20	1	no	—
1521	C₄	—	20	1	no	—
1522	C₄	—	20	1	no	—
1523	C₄	—	20	1	no	—
1524	C₄	—	20	1	no	—
1525	C₄	—	20	1	no	—
1526	C₄	—	20	1	no	—
1527	C₄	—	20	1	no	—
1528	C₄	—	20	1	no	—
1529	C₂	—	2	4	no	—
1530	C₂	—	8	1	no	—
1531	C₂	—	20	2	no	—
1532	C₂	—	20	2	no	—
1533	C₂	—	40	1	no	—
1534	C₂	C₂×#66041	1	1	yes	characteristic
1535	C₂	#10618056	1	1	yes	characteristic
1536	C₂	#10618315	1	1	yes	characteristic
1537	C₂	#10618706	1	1	yes	characteristic
1538	C₂	#10618706	1	1	yes	characteristic
1539	C₂	#10618795	1	1	yes	characteristic
1540	C₂	#10618795	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2510	C₂
prime radical	#10606636	C₂
hypercenter	#2510	D₅
hypocenter	C₅	#36726
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2510

Complements

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

N	H ≅ G/N	type
1. C₅×#2510	C₂	semidirect
2. #10610165	C₂	semidirect
3. #10610164	C₂	semidirect
4. #10610108	C₂	semidirect
5. #10609970	C₂	semidirect
6. #10609441	C₂	semidirect
7. #10609312	C₂	semidirect
8. #10609305	C₂	semidirect
9. #10609300	C₂	semidirect
10. #10607671	C₂	semidirect
11. #10607417	C₂	semidirect
12. #10607408	C₂	semidirect
13. #10607405	C₂	semidirect
14. #10607144	C₂	semidirect
15. #10606885	C₂	semidirect
16. #10606667	C₂	semidirect
18. #10606606	C₂	semidirect
19. #10606440	C₂	semidirect
20. #10606437	C₂	semidirect
21. #10606433	C₂	semidirect
22. #10606387	C₂	semidirect
23. #10606195	C₂	semidirect
24. #10606043	C₂	semidirect
25. #10606042	C₂	semidirect
26. #10605683	C₂	semidirect
27. #10605641	C₂	semidirect
28. #10605300	C₂	semidirect
29. #10605232	C₂	semidirect
30. C₂×#64956	C₂	semidirect
31. #10605082	C₂	semidirect
42. C₂×#4044	C₂²	semidirect
47. C₂×#4029	C₂²	semidirect
49. C₂×#4024	C₂²	semidirect
50. C₂×#4016	C₂²	semidirect
51. C₅×#401	C₂²	semidirect
52. C₅×#400	C₂²	semidirect
53. C₅×#397	C₂²	semidirect
54. C₅×#397	C₂²	semidirect
55. C₅×#388	C₂²	semidirect
56. C₅×#388	C₂²	semidirect
57. C₅×#387	C₂²	semidirect
62. C₅×#383	C₂²	semidirect
76. #65283	C₂²	semidirect
79. #65275	C₂²	semidirect
80. #65273	C₂²	semidirect
81. #65271	C₂²	semidirect
82. #65267	C₂²	semidirect
83. #65266	C₂²	semidirect
84. #65262	C₂²	semidirect
85. #65250	C₂²	semidirect
90. #65248	C₂²	semidirect
95. #65247	C₂²	semidirect
102. #65242	C₂²	semidirect
107. #65238	C₂²	semidirect
108. #65238	C₂²	semidirect
109. #65237	C₂²	semidirect
111. #65235	C₂²	semidirect
112. #65234	C₂²	semidirect
113. #65232	C₂²	semidirect
120. #65222	C₂²	semidirect
121. #65222	C₂²	semidirect
122. #65217	C₂²	semidirect
125. #64965	C₂²	semidirect
128. #64964	C₂²	semidirect
129. #64964	C₂²	semidirect
130. #64963	C₂²	semidirect
133. #64962	C₂²	semidirect
140. #64959	C₂²	semidirect
143. #64958	C₂²	semidirect
146. #64957	C₂²	semidirect
147. #64957	C₂²	semidirect
156. #64956	C₂²	semidirect
165. #64949	C₂²	semidirect
166. #64949	C₂²	semidirect
167. #64949	C₂²	semidirect
168. #64949	C₂²	semidirect
169. #64948	C₂²	semidirect
170. #64947	C₂²	semidirect
171. #64946	C₂²	semidirect
172. #64946	C₂²	semidirect
173. #64946	C₂²	semidirect
174. #64946	C₂²	semidirect
175. #64946	C₂²	semidirect
176. #64946	C₂²	semidirect
177. #64945	C₂²	semidirect
178. #64944	C₂²	semidirect
179. #64944	C₂²	semidirect
180. #64943	C₂²	semidirect
181. #64943	C₂²	semidirect
182. #64942	C₂²	semidirect
183. #64941	C₂²	semidirect
184. #64941	C₂²	semidirect
185. #64936	C₂²	semidirect
186. #64935	C₂²	semidirect
384. #2510	D₅	semidirect
599. #401	C₂×D₅	semidirect
608. #400	C₂×D₅	semidirect
626. #397	C₂×D₅	semidirect
627. #397	C₂×D₅	semidirect
666. #388	C₂×D₅	semidirect
667. #388	C₂×D₅	semidirect
678. #387	C₂×D₅	semidirect
711. #383	C₂×D₅	semidirect
1459. C₅	#36726	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2510	2
#10610165	2
#10610164	2
#10610108	2
#10609970	2
#10609441	2
#10609312	2
#10609305	2
#10609300	2
#10607671	2
#10607417	2
#10607408	2
#10607405	2
#10607144	2
#10606885	2
#10606667	2
#10606636	2
#10606606	2
#10606440	2
#10606437	2
#10606433	2
#10606387	2
#10606195	2
#10606043	2
#10606042	2
#10605683	2
#10605641	2
#10605300	2
#10605232	2
C₂×#64956	2
#10605082	2
#36726	5