Subgroups — #12305974

Order 1280.

1484 conjugacy classes of subgroups.

The subgroup lattice has 1314 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2837	C₂	1	1	yes	maximal, characteristic
2	#10610055	C₂	1	1	yes	maximal, characteristic, complemented
3	#10609864	C₂	1	1	yes	maximal, characteristic, complemented
4	#10609829	C₂	1	1	yes	maximal, characteristic, complemented
5	#10609823	C₂	1	1	yes	maximal, characteristic, complemented
6	#10609749	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609749	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609674	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609673	C₂	1	1	yes	maximal, characteristic, complemented
10	#10609472	C₂	1	1	yes	maximal, characteristic, complemented
11	#10609471	C₂	1	1	yes	maximal, characteristic, complemented
12	#10609385	C₂	1	1	yes	maximal, characteristic, complemented
13	#10609379	C₂	1	1	yes	maximal, characteristic, complemented
14	#10609192	C₂	1	1	yes	maximal, characteristic, complemented
15	#10609192	C₂	1	1	yes	maximal, characteristic, complemented
16	#10609139	C₂	1	1	yes	maximal, characteristic, complemented
17	#10609137	C₂	1	1	yes	maximal, characteristic, complemented
18	#10609013	C₂	1	1	yes	maximal, characteristic, complemented
19	#10609013	C₂	1	1	yes	maximal, characteristic, complemented
20	#10608834	C₂	1	1	yes	maximal, characteristic
21	#10608832	C₂	1	1	yes	maximal, characteristic
22	#10608820	C₂	1	1	yes	maximal, characteristic
23	#10608624	C₂	1	1	yes	maximal, characteristic
24	#10608623	C₂	1	1	yes	maximal, characteristic
25	#10608623	C₂	1	1	yes	maximal, characteristic
26	#10607920	C₂	1	1	yes	maximal, characteristic, complemented
27	#10607698	C₂	1	1	yes	maximal, characteristic, complemented
28	#10607550	C₂	1	1	yes	maximal, characteristic, complemented
29	#10607547	C₂	1	1	yes	maximal, characteristic, complemented
30	#10607186	C₂	1	1	yes	maximal, characteristic, complemented
31	#10607186	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
33	C₂×#4034	C₂²	1	1	yes	characteristic
34	C₂×#4033	C₂²	1	1	yes	characteristic
35	C₂×#4033	C₂²	1	1	yes	characteristic
36	C₂×#4033	C₂²	1	1	yes	characteristic
37	C₂×#4025	C₂²	1	1	yes	characteristic
38	C₂×#4025	C₂²	1	1	yes	characteristic
39	C₂×#4023	C₂²	1	1	yes	characteristic
40	C₂×#4023	C₂²	1	1	yes	characteristic
41	C₅×#400	C₂²	1	1	yes	characteristic
42	C₅×#399	C₂²	1	1	yes	characteristic
43	C₅×#399	C₂²	1	1	yes	characteristic
44	C₅×#398	C₂²	1	1	yes	characteristic
45	C₅×#398	C₂²	1	1	yes	characteristic
46	C₅×#397	C₂²	1	1	yes	characteristic
47	C₅×#397	C₂²	1	1	yes	characteristic
48	C₅×#396	C₂²	1	1	yes	characteristic
49	C₅×#396	C₂²	1	1	yes	characteristic
50	C₅×#394	C₂²	1	1	yes	characteristic
51	C₅×#394	C₂²	1	1	yes	characteristic
52	C₅×#394	C₂²	1	1	yes	characteristic
53	C₅×#389	C₂²	1	1	yes	characteristic
54	C₅×#388	C₂²	1	1	yes	characteristic
55	C₅×#388	C₂²	1	1	yes	characteristic
56	#65511	C₂²	1	1	yes	characteristic
57	#65511	C₂²	1	1	yes	characteristic
58	#65511	C₂²	1	1	yes	characteristic
59	#65275	C₂²	1	1	yes	characteristic
60	#65275	C₂²	1	1	yes	characteristic
61	#65273	C₂²	1	1	yes	characteristic
62	#65273	C₂²	1	1	yes	characteristic
63	#65273	C₂²	1	1	yes	characteristic
64	#65273	C₂²	1	1	yes	characteristic
65	#65273	C₂²	1	1	yes	characteristic
66	#65273	C₂²	1	1	yes	characteristic
67	#65272	C₂²	1	1	yes	characteristic
68	#65272	C₂²	1	1	yes	characteristic
69	#65272	C₂²	1	1	yes	characteristic
70	#65271	C₂²	1	1	yes	characteristic
71	#65271	C₂²	1	1	yes	characteristic
72	#65271	C₂²	1	1	yes	characteristic
73	#65271	C₂²	1	1	yes	characteristic
74	#65271	C₂²	1	1	yes	characteristic
75	#65269	C₂²	1	1	yes	characteristic
76	#65269	C₂²	1	1	yes	characteristic
77	#65269	C₂²	1	1	yes	characteristic
78	#65269	C₂²	1	1	yes	characteristic
79	#65269	C₂²	1	1	yes	characteristic
80	#65269	C₂²	1	1	yes	characteristic
81	#65268	C₂²	1	1	yes	characteristic
82	#65268	C₂²	1	1	yes	characteristic
83	#65268	C₂²	1	1	yes	characteristic
84	#65268	C₂²	1	1	yes	characteristic
85	#65268	C₂²	1	1	yes	characteristic
86	#65267	C₂²	1	1	yes	characteristic
87	#65267	C₂²	1	1	yes	characteristic
88	#65265	C₂²	1	1	yes	characteristic
89	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
90	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
91	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
92	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
93	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
94	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
95	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
96	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
97	#65261	C₂²	1	1	yes	characteristic
98	#65261	C₂²	1	1	yes	characteristic
99	#65242	C₂²	1	1	yes	characteristic
100	#65242	C₂²	1	1	yes	characteristic
101	#65241	C₂²	1	1	yes	characteristic
102	#65241	C₂²	1	1	yes	characteristic
103	#65241	C₂²	1	1	yes	characteristic
104	#65241	C₂²	1	1	yes	characteristic
105	#65241	C₂²	1	1	yes	characteristic
106	#65241	C₂²	1	1	yes	characteristic
107	#65241	C₂²	1	1	yes	characteristic
108	#65241	C₂²	1	1	yes	characteristic
109	#65241	C₂²	1	1	yes	characteristic
110	#65241	C₂²	1	1	yes	characteristic
111	#65238	C₂²	1	1	yes	characteristic
112	#65238	C₂²	1	1	yes	characteristic
113	#65238	C₂²	1	1	yes	characteristic
114	#65238	C₂²	1	1	yes	characteristic
115	#65237	C₂²	1	1	yes	characteristic
116	#65237	C₂²	1	1	yes	characteristic
117	#65237	C₂²	1	1	yes	characteristic
118	#65237	C₂²	1	1	yes	characteristic
119	#65237	C₂²	1	1	yes	characteristic
120	#65237	C₂²	1	1	yes	characteristic
121	#65237	C₂²	1	1	yes	characteristic
122	#65237	C₂²	1	1	yes	characteristic
123	#65236	C₂²	1	1	yes	characteristic
124	#65236	C₂²	1	1	yes	characteristic
125	#65236	C₂²	1	1	yes	characteristic
126	#65236	C₂²	1	1	yes	characteristic
127	#65236	C₂²	1	1	yes	characteristic
128	#65236	C₂²	1	1	yes	characteristic
129	#65234	C₂²	1	1	yes	characteristic
130	#65234	C₂²	1	1	yes	characteristic
131	#65233	C₂²	1	1	yes	characteristic
132	#65233	C₂²	1	1	yes	characteristic
133	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
134	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
135	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
136	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
137	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
138	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
139	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
140	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
141	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
142	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
143	#65222	C₂²	1	1	yes	characteristic
144	#65222	C₂²	1	1	yes	characteristic
145	C₄²×Dic₅	C₂²	1	1	yes	characteristic
146	#65217	C₂²	1	1	yes	characteristic
147	C₅⋊#401	C₂²	1	1	yes	characteristic
148	C₅⋊#401	C₂²	1	1	yes	characteristic
149	#64950	C₂²	1	1	yes	characteristic
150	#64949	C₂²	1	1	yes	characteristic
151	#64949	C₂²	1	1	yes	characteristic
152	#64949	C₂²	1	1	yes	characteristic
153	#64949	C₂²	1	1	yes	characteristic
154	#64949	C₂²	1	1	yes	characteristic
155	#64949	C₂²	1	1	yes	characteristic
156	#64948	C₂²	1	1	yes	characteristic
157	#64948	C₂²	1	1	yes	characteristic
158	#64947	C₂²	1	1	yes	characteristic
159	#64947	C₂²	1	1	yes	characteristic
160	#64947	C₂²	1	1	yes	characteristic
161	#64947	C₂²	1	1	yes	characteristic
162	#64947	C₂²	1	1	yes	characteristic
163	#64947	C₂²	1	1	yes	characteristic
164	#64946	C₂²	1	1	yes	characteristic
165	#64946	C₂²	1	1	yes	characteristic
166	#64946	C₂²	1	1	yes	characteristic
167	#64946	C₂²	1	1	yes	characteristic
168	#64945	C₂²	1	1	yes	characteristic
169	#64945	C₂²	1	1	yes	characteristic
170	#64945	C₂²	1	1	yes	characteristic
171	#64943	C₂²	1	1	yes	characteristic
172	#64943	C₂²	1	1	yes	characteristic
173	#64940	C₂²	1	1	yes	characteristic
174	#64940	C₂²	1	1	yes	characteristic
175	#64938	C₂²	1	1	yes	characteristic
176	#64938	C₂²	1	1	yes	characteristic
177	#64938	C₂²	1	1	yes	characteristic
178	#64938	C₂²	1	1	yes	characteristic
179	#64938	C₂²	1	1	yes	characteristic
180	#64938	C₂²	1	1	yes	characteristic
181	#64938	C₂²	1	1	yes	characteristic
182	#64938	C₂²	1	1	yes	characteristic
183	#64937	C₂²	1	1	yes	characteristic
184	#64937	C₂²	1	1	yes	characteristic
185	#64935	C₂²	1	1	yes	characteristic
186	#64935	C₂²	1	1	yes	characteristic
187	#36697	—	5	1	no	maximal, Sylow
188	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
189	C₂³×Dic₅	C₂³	1	1	yes	characteristic
190	C₂³×Dic₅	C₂³	1	1	yes	characteristic
191	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
192	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
193	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
194	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₅	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	D₄×Dic₅	—	4	2	no	—
233	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
242	C₂×#683	C₂³	1	1	yes	characteristic
243	C₂×#683	C₂³	1	1	yes	characteristic
244	C₂×#683	C₂³	1	1	yes	characteristic
245	C₂×#683	C₂³	1	1	yes	characteristic
246	C₂×#683	C₂³	1	1	yes	characteristic
247	C₂×#683	C₂³	1	1	yes	characteristic
248	C₂×#683	C₂³	1	1	yes	characteristic
249	C₂×#683	C₂³	1	1	yes	characteristic
250	C₂×#683	C₂³	1	1	yes	characteristic
251	C₂×#683	C₂³	1	1	yes	characteristic
252	C₂×#683	C₂³	1	1	yes	characteristic
253	C₂×#683	C₂³	1	1	yes	characteristic
254	C₂×#683	C₂³	1	1	yes	characteristic
255	C₂×#683	C₂³	1	1	yes	characteristic
256	C₂×#683	C₂³	1	1	yes	characteristic
257	C₂×#683	C₂³	1	1	yes	characteristic
258	C₂×#683	C₂³	1	1	yes	characteristic
259	C₂×#683	C₂³	1	1	yes	characteristic
260	C₂×#683	C₂³	1	1	yes	characteristic
261	C₂×#683	C₂³	1	1	yes	characteristic
262	C₂×#683	C₂³	1	1	yes	characteristic
263	C₂×#683	C₂³	1	1	yes	characteristic
264	C₂×#683	C₂³	1	1	yes	characteristic
265	C₂×#683	C₂³	1	1	yes	characteristic
266	C₂×#683	C₂³	1	1	yes	characteristic
267	C₂×#683	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₅	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	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
284	#4034	—	2	4	no	—
285	#4033	—	4	2	no	—
286	#4033	—	4	2	no	—
287	#4033	—	4	2	no	—
288	#4025	—	2	4	no	—
289	#4025	—	2	4	no	—
290	#4023	—	4	2	no	—
291	#4023	—	4	2	no	—
292	C₅×#95	C₂³	1	1	yes	characteristic
293	C₅×#95	C₂³	1	1	yes	characteristic
294	C₅×#95	C₂³	1	1	yes	characteristic
295	C₅×#95	C₂³	1	1	yes	characteristic
296	C₅×#95	C₂³	1	1	yes	characteristic
297	C₅×#95	C₂³	1	1	yes	characteristic
298	C₅×#95	C₂³	1	1	yes	characteristic
299	C₅×#95	C₂³	1	1	yes	characteristic
300	C₅×#95	C₂³	1	1	yes	characteristic
301	C₅×#95	C₂³	1	1	yes	characteristic
302	#3963	C₂³	1	1	yes	characteristic
303	#3963	C₂³	1	1	yes	characteristic
304	#3963	C₂³	1	1	yes	characteristic
305	#3963	C₂³	1	1	yes	characteristic
306	#3963	C₂³	1	1	yes	characteristic
307	#3963	C₂³	1	1	yes	characteristic
308	#3963	C₂³	1	1	yes	characteristic
309	#3963	C₂³	1	1	yes	characteristic
310	#3963	C₂³	1	1	yes	characteristic
311	#3963	C₂³	1	1	yes	characteristic
312	#3963	C₂³	1	1	yes	characteristic
313	#3963	C₂³	1	1	yes	characteristic
314	#3963	C₂³	1	1	yes	characteristic
315	#3963	C₂³	1	1	yes	characteristic
316	#3963	C₂³	1	1	yes	characteristic
317	#3963	C₂³	1	1	yes	characteristic
318	#3963	C₂³	1	1	yes	characteristic
319	#3963	C₂³	1	1	yes	characteristic
320	#3963	C₂³	1	1	yes	characteristic
321	#3963	C₂³	1	1	yes	characteristic
322	#3963	C₂³	1	1	yes	characteristic
323	#3963	C₂³	1	1	yes	characteristic
324	#3963	C₂³	1	1	yes	characteristic
325	#3963	C₂³	1	1	yes	characteristic
326	#3963	C₂³	1	1	yes	characteristic
327	#3963	C₂³	1	1	yes	characteristic
328	#3963	C₂³	1	1	yes	characteristic
329	#3963	C₂³	1	1	yes	characteristic
330	#3963	C₂³	1	1	yes	characteristic
331	#3963	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	#2843	—	5	1	no	—
353	#2839	—	5	1	no	—
354	#2839	—	5	1	no	—
355	#2838	—	5	1	no	—
356	#2838	—	5	1	no	—
357	#2837	—	5	1	no	—
358	#2837	D₅	1	1	yes	characteristic
359	#2836	—	5	1	no	—
360	#2836	—	5	1	no	—
361	#2833	—	5	1	no	—
362	#2832	—	5	1	no	—
363	#2831	—	5	1	no	—
364	#2831	—	5	1	no	—
365	#2823	—	5	1	no	—
366	#2821	—	5	1	no	—
367	#2821	—	5	1	no	—
368	#2402	—	5	1	no	—
369	#2402	—	5	1	no	—
370	#2401	—	5	1	no	—
371	#2401	—	5	1	no	—
372	#2399	—	5	1	no	—
373	#2398	—	5	1	no	—
374	#2396	—	5	1	no	—
375	#2396	—	5	1	no	—
376	#2396	—	5	1	no	—
377	#2396	—	5	1	no	—
378	#2395	—	5	1	no	—
379	#2395	—	5	1	no	—
380	C₄×C₄⋊Q₈	—	5	1	no	—
381	C₄×#126	—	5	1	no	—
382	C₄×#126	—	5	1	no	—
383	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
385	C₂×C₅×D₄	—	4	1	no	—
386	C₂×C₅×D₄	—	4	1	no	—
387	C₂×C₅×D₄	—	4	1	no	—
388	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₅	—	2	2	no	—
402	C₂²×Dic₅	—	2	2	no	—
403	C₂²×Dic₅	—	2	2	no	—
404	C₂²×Dic₅	—	2	2	no	—
405	C₂²×Dic₅	—	2	2	no	—
406	C₂²×Dic₅	—	2	2	no	—
407	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₁₀	—	2	2	no	—
424	C₂×Dic₁₀	—	2	2	no	—
425	C₂×Dic₁₀	—	4	1	no	—
426	C₂×Dic₁₀	—	4	1	no	—
427	C₂×Dic₁₀	—	4	1	no	—
428	C₂×Dic₁₀	—	4	1	no	—
429	C₂×Dic₁₀	—	4	1	no	—
430	C₂×Dic₁₀	—	4	1	no	—
431	C₂×Dic₁₀	—	4	1	no	—
432	C₅×C₄⋊C₄	—	2	2	no	—
433	C₅×C₄⋊C₄	—	4	1	no	—
434	C₅×C₄⋊C₄	—	4	1	no	—
435	C₅×C₄⋊C₄	—	4	1	no	—
436	C₅×C₄⋊C₄	—	4	1	no	—
437	C₅×C₄⋊C₄	—	4	1	no	—
438	C₅×C₄⋊C₄	—	4	1	no	—
439	C₅×C₄⋊C₄	—	4	1	no	—
440	C₅×C₄⋊C₄	—	4	1	no	—
441	C₅×C₄⋊C₄	—	4	1	no	—
442	C₅×C₄⋊C₄	—	4	1	no	—
443	C₅×C₂²⋊C₄	—	2	2	no	—
444	C₅×C₂²⋊C₄	—	2	2	no	—
445	C₅×C₂²⋊C₄	—	4	1	no	—
446	C₅×C₂²⋊C₄	—	4	1	no	—
447	C₅×C₂²⋊C₄	—	4	1	no	—
448	C₅×C₂²⋊C₄	—	4	1	no	—
449	C₅×C₂²⋊C₄	—	4	1	no	—
450	C₅×C₂²⋊C₄	—	4	1	no	—
451	C₅×C₂²⋊C₄	—	4	1	no	—
452	C₅×C₂²⋊C₄	—	4	1	no	—
453	C₅×C₂²⋊C₄	—	4	1	no	—
454	C₅×C₂²⋊C₄	—	4	1	no	—
455	C₄²×C₅	—	4	1	no	—
456	C₂²⋊Dic₅	—	2	2	no	—
457	C₂²⋊Dic₅	—	2	2	no	—
458	C₂²⋊Dic₅	—	2	2	no	—
459	C₂²⋊Dic₅	—	2	2	no	—
460	C₂²⋊Dic₅	—	4	1	no	—
461	C₂²⋊Dic₅	—	4	1	no	—
462	C₂²⋊Dic₅	—	4	1	no	—
463	C₂²⋊Dic₅	—	4	1	no	—
464	C₂²⋊Dic₅	—	4	1	no	—
465	C₂²⋊Dic₅	—	4	1	no	—
466	C₂²⋊Dic₅	—	4	1	no	—
467	C₂²⋊Dic₅	—	4	1	no	—
468	C₂²⋊Dic₅	—	4	1	no	—
469	C₂²⋊Dic₅	—	4	1	no	—
470	C₄⋊Dic₅	—	2	2	no	—
471	C₄⋊Dic₅	—	2	2	no	—
472	C₄⋊Dic₅	—	2	2	no	—
473	C₄⋊Dic₅	—	4	1	no	—
474	C₄⋊Dic₅	—	4	1	no	—
475	C₄⋊Dic₅	—	4	1	no	—
476	C₄⋊Dic₅	—	4	1	no	—
477	C₄⋊Dic₅	—	4	1	no	—
478	C₄⋊Dic₅	—	4	1	no	—
479	#683	—	2	2	no	—
480	#683	—	2	2	no	—
481	#683	—	2	2	no	—
482	#683	—	2	2	no	—
483	#683	—	2	2	no	—
484	#683	—	2	2	no	—
485	#683	—	4	1	no	—
486	#683	—	4	1	no	—
487	#683	—	4	1	no	—
488	#683	—	4	1	no	—
489	#683	—	4	1	no	—
490	#683	—	4	1	no	—
491	#683	—	4	1	no	—
492	#683	—	4	1	no	—
493	#683	—	4	1	no	—
494	#683	—	4	1	no	—
495	#683	—	4	1	no	—
496	#683	—	4	1	no	—
497	#683	—	4	1	no	—
498	#683	—	4	1	no	—
499	#683	—	4	1	no	—
500	#683	—	4	1	no	—
501	#683	—	4	1	no	—
502	#683	—	4	1	no	—
503	#683	—	4	1	no	—
504	#683	—	4	1	no	—
505	C₄×Dic₅	—	2	2	no	—
506	C₄×Dic₅	—	2	2	no	—
507	C₄×Dic₅	—	2	2	no	—
508	C₄×Dic₅	—	2	2	no	—
509	C₄×Dic₅	—	2	2	no	—
510	C₄×Dic₅	—	2	2	no	—
511	C₄×Dic₅	—	2	2	no	—
512	C₄×Dic₅	—	2	2	no	—
513	C₄×Dic₅	—	2	2	no	—
514	C₄×Dic₅	—	2	2	no	—
515	C₄×Dic₅	—	2	2	no	—
516	C₄×Dic₅	—	2	2	no	—
517	C₄×Dic₅	—	2	2	no	—
518	C₄×Dic₅	—	4	1	no	—
519	C₄×Dic₅	—	4	1	no	—
520	C₄×Dic₅	#41	1	4	yes	—
521	C₂×C₄⋊Q₈	—	5	1	no	—
522	C₂×#126	—	5	1	no	—
523	C₂×#126	—	5	1	no	—
524	C₂×C₄×Q₈	—	5	1	no	—
525	C₂×C₄×Q₈	—	5	1	no	—
526	C₂×C₄×Q₈	—	5	1	no	—
527	C₂×C₄×D₄	—	5	1	no	—
528	C₂×#117	—	5	1	no	—
529	C₂×#117	—	5	1	no	—
530	#401	—	5	1	no	—
531	#401	—	5	1	no	—
532	#400	—	5	1	no	—
533	#400	—	5	1	no	—
534	#400	—	5	1	no	—
535	#400	—	5	1	no	—
536	#400	—	5	1	no	—
537	#400	—	5	1	no	—
538	#400	—	5	1	no	—
539	#400	—	5	1	no	—
540	#400	—	5	1	no	—
541	#400	—	5	1	no	—
542	#400	—	5	1	no	—
543	#400	—	5	1	no	—
544	#400	—	5	1	no	—
545	#400	—	5	1	no	—
546	#400	—	5	1	no	—
547	#400	—	5	1	no	—
548	#400	—	5	1	no	—
549	#400	—	5	1	no	—
550	#400	—	5	1	no	—
551	#400	—	5	1	no	—
552	#400	—	5	1	no	—
553	#400	C₂×D₅	1	1	yes	characteristic
554	#399	—	5	1	no	—
555	#399	—	5	1	no	—
556	#399	—	5	1	no	—
557	#399	—	5	1	no	—
558	#399	C₂×D₅	1	1	yes	characteristic
559	#399	C₂×D₅	1	1	yes	characteristic
560	#398	—	5	1	no	—
561	#398	—	5	1	no	—
562	#398	—	5	1	no	—
563	#398	—	5	1	no	—
564	#398	—	5	1	no	—
565	#398	—	5	1	no	—
566	#398	—	5	1	no	—
567	#398	—	5	1	no	—
568	#398	—	5	1	no	—
569	#398	—	5	1	no	—
570	#398	—	5	1	no	—
571	#398	—	5	1	no	—
572	#398	—	5	1	no	—
573	#398	—	5	1	no	—
574	#398	—	5	1	no	—
575	#398	—	5	1	no	—
576	#398	—	5	1	no	—
577	#398	—	5	1	no	—
578	#398	—	5	1	no	—
579	#398	—	5	1	no	—
580	#398	C₂×D₅	1	1	yes	characteristic
581	#398	C₂×D₅	1	1	yes	characteristic
582	#397	—	5	1	no	—
583	#397	—	5	1	no	—
584	#397	—	5	1	no	—
585	#397	—	5	1	no	—
586	#397	—	5	1	no	—
587	#397	—	5	1	no	—
588	#397	—	5	1	no	—
589	#397	—	5	1	no	—
590	#397	—	5	1	no	—
591	#397	—	5	1	no	—
592	#397	—	5	1	no	—
593	#397	—	5	1	no	—
594	#397	C₂×D₅	1	1	yes	characteristic
595	#397	C₂×D₅	1	1	yes	characteristic
596	#396	—	5	1	no	—
597	#396	—	5	1	no	—
598	#396	—	5	1	no	—
599	#396	—	5	1	no	—
600	#396	—	5	1	no	—
601	#396	—	5	1	no	—
602	#396	—	5	1	no	—
603	#396	—	5	1	no	—
604	#396	C₂×D₅	1	1	yes	characteristic
605	#396	C₂×D₅	1	1	yes	characteristic
606	#395	—	5	1	no	—
607	#395	—	5	1	no	—
608	#395	—	5	1	no	—
609	#395	—	5	1	no	—
610	#395	—	5	1	no	—
611	#395	—	5	1	no	—
612	#395	—	5	1	no	—
613	#395	—	5	1	no	—
614	#394	—	5	1	no	—
615	#394	—	5	1	no	—
616	#394	—	5	1	no	—
617	#394	C₂×D₅	1	1	yes	characteristic
618	#394	C₂×D₅	1	1	yes	characteristic
619	#394	C₂×D₅	1	1	yes	characteristic
620	#393	—	5	1	no	—
621	#393	—	5	1	no	—
622	#393	—	5	1	no	—
623	#393	—	5	1	no	—
624	#393	—	5	1	no	—
625	#393	—	5	1	no	—
626	#391	—	5	1	no	—
627	#391	—	5	1	no	—
628	#389	—	5	1	no	—
629	#389	—	5	1	no	—
630	#389	—	5	1	no	—
631	#389	C₂×D₅	1	1	yes	characteristic
632	#388	—	5	1	no	—
633	#388	—	5	1	no	—
634	#388	—	5	1	no	—
635	#388	—	5	1	no	—
636	#388	C₂×D₅	1	1	yes	characteristic
637	#388	C₂×D₅	1	1	yes	characteristic
638	#387	—	5	1	no	—
639	#387	—	5	1	no	—
640	#387	—	5	1	no	—
641	#387	—	5	1	no	—
642	#387	—	5	1	no	—
643	#387	—	5	1	no	—
644	#384	—	5	1	no	—
645	#383	—	5	1	no	—
646	#383	—	5	1	no	—
647	C₄×C₄⋊C₄	—	5	1	no	—
648	C₄×C₄⋊C₄	—	5	1	no	—
649	C₄×C₄⋊C₄	—	5	1	no	—
650	C₄×C₄⋊C₄	—	5	1	no	—
651	C₄×C₄⋊C₄	—	5	1	no	—
652	C₄×C₄⋊C₄	—	5	1	no	—
653	C₄×C₄⋊C₄	—	5	1	no	—
654	C₄×C₄⋊C₄	—	5	1	no	—
655	C₄×C₄⋊C₄	—	5	1	no	—
656	C₄×C₄⋊C₄	—	5	1	no	—
657	C₄×C₄⋊C₄	—	5	1	no	—
658	C₄×C₄⋊C₄	—	5	1	no	—
659	C₄×C₄⋊C₄	—	5	1	no	—
660	C₄×C₄⋊C₄	—	5	1	no	—
661	C₄×C₄⋊C₄	—	5	1	no	—
662	C₄×C₄⋊C₄	—	5	1	no	—
663	C₄×C₂²⋊C₄	—	5	1	no	—
664	C₄×C₂²⋊C₄	—	5	1	no	—
665	C₄×C₂²⋊C₄	—	5	1	no	—
666	C₄×C₂²⋊C₄	—	5	1	no	—
667	C₄×C₂²⋊C₄	—	5	1	no	—
668	C₄×C₂²⋊C₄	—	5	1	no	—
669	C₄×C₂²⋊C₄	—	5	1	no	—
670	C₄×C₂²⋊C₄	—	5	1	no	—
671	C₄×C₂²⋊C₄	—	5	1	no	—
672	C₄×C₂²⋊C₄	—	5	1	no	—
673	#376	—	5	1	no	—
674	#376	—	5	1	no	—
675	C₄³	—	5	1	no	—
676	C₂³×C₅	—	2	1	no	—
677	C₂³×C₅	—	2	1	no	—
678	C₂³×C₅	—	2	1	no	—
679	C₂³×C₅	—	2	1	no	—
680	C₂³×C₅	—	2	1	no	—
681	C₂³×C₅	—	2	1	no	—
682	C₂³×C₅	—	2	1	no	—
683	C₂³×C₅	—	2	1	no	—
684	C₂³×C₅	—	2	1	no	—
685	C₂³×C₅	—	2	1	no	—
686	C₂³×C₅	—	2	1	no	—
687	C₂³×C₅	—	2	1	no	—
688	C₂³×C₅	—	2	1	no	—
689	C₂³×C₅	—	2	1	no	—
690	C₂³×C₅	C₂⁵	1	1	yes	characteristic
691	C₅×D₄	—	4	4	no	—
692	C₂×C₄×C₅	—	2	1	no	—
693	C₂×C₄×C₅	—	2	1	no	—
694	C₂×C₄×C₅	—	2	1	no	—
695	C₂×C₄×C₅	—	2	1	no	—
696	C₂×C₄×C₅	—	2	1	no	—
697	C₂×C₄×C₅	—	2	1	no	—
698	C₂×C₄×C₅	—	2	1	no	—
699	C₂×C₄×C₅	—	2	1	no	—
700	C₂×C₄×C₅	—	2	1	no	—
701	C₂×C₄×C₅	—	2	1	no	—
702	C₂×C₄×C₅	—	2	1	no	—
703	C₂×C₄×C₅	—	2	1	no	—
704	C₂×C₄×C₅	—	2	1	no	—
705	C₂×C₄×C₅	—	2	1	no	—
706	C₂×C₄×C₅	—	2	1	no	—
707	C₂×C₄×C₅	—	2	1	no	—
708	C₂×C₄×C₅	—	2	1	no	—
709	C₂×C₄×C₅	—	2	1	no	—
710	C₂×C₄×C₅	—	2	1	no	—
711	C₂×C₄×C₅	—	2	1	no	—
712	C₂×C₄×C₅	—	2	1	no	—
713	C₂×C₄×C₅	—	2	1	no	—
714	C₂×C₄×C₅	—	2	1	no	—
715	C₂×C₄×C₅	—	2	1	no	—
716	C₂×C₄×C₅	—	2	1	no	—
717	C₂×C₄×C₅	—	2	1	no	—
718	C₂×C₄×C₅	—	2	1	no	—
719	C₂×C₄×C₅	—	2	1	no	—
720	C₂×C₄×C₅	—	2	1	no	—
721	C₂×C₄×C₅	—	2	1	no	—
722	C₂×C₄×C₅	—	2	1	no	—
723	C₂×C₄×C₅	—	2	1	no	—
724	C₂×C₄×C₅	—	2	1	no	—
725	C₂×C₄×C₅	—	2	1	no	—
726	C₂×C₄×C₅	—	2	1	no	—
727	C₂×C₄×C₅	—	2	1	no	—
728	C₂×C₄×C₅	—	2	1	no	—
729	C₂×C₄×C₅	—	2	1	no	—
730	C₂×C₄×C₅	C₂×#41	1	2	yes	—
731	C₂×Dic₅	—	2	1	no	—
732	C₂×Dic₅	—	2	1	no	—
733	C₂×Dic₅	—	2	1	no	—
734	C₂×Dic₅	—	2	1	no	—
735	C₂×Dic₅	—	2	1	no	—
736	C₂×Dic₅	—	2	1	no	—
737	C₂×Dic₅	—	2	1	no	—
738	C₂×Dic₅	—	2	1	no	—
739	C₂×Dic₅	—	2	1	no	—
740	C₂×Dic₅	—	2	1	no	—
741	C₂×Dic₅	—	2	1	no	—
742	C₂×Dic₅	—	2	1	no	—
743	C₂×Dic₅	—	2	1	no	—
744	C₂×Dic₅	—	2	1	no	—
745	C₂×Dic₅	—	2	1	no	—
746	C₂×Dic₅	—	2	1	no	—
747	C₂×Dic₅	—	2	1	no	—
748	C₂×Dic₅	—	2	1	no	—
749	C₂×Dic₅	—	2	1	no	—
750	C₂×Dic₅	—	2	1	no	—
751	C₂×Dic₅	—	2	1	no	—
752	C₂×Dic₅	—	2	1	no	—
753	C₂×Dic₅	—	2	1	no	—
754	C₂×Dic₅	—	2	1	no	—
755	C₂×Dic₅	—	2	1	no	—
756	C₂×Dic₅	—	2	1	no	—
757	C₂×Dic₅	—	2	1	no	—
758	C₂×Dic₅	—	2	1	no	—
759	C₂×Dic₅	—	2	1	no	—
760	C₂×Dic₅	—	2	1	no	—
761	C₂×Dic₅	—	2	1	no	—
762	C₂×Dic₅	—	2	1	no	—
763	C₂×Dic₅	—	2	1	no	—
764	C₂×Dic₅	—	2	1	no	—
765	C₂×Dic₅	—	2	1	no	—
766	C₂×Dic₅	—	2	1	no	—
767	C₂×Dic₅	—	2	1	no	—
768	C₂×Dic₅	—	2	1	no	—
769	C₂×Dic₅	—	2	1	no	—
770	C₂×Dic₅	—	2	1	no	—
771	C₂×Dic₅	—	2	1	no	—
772	C₂×Dic₅	—	2	1	no	—
773	C₂×Dic₅	—	2	1	no	—
774	C₂×Dic₅	—	4	4	no	—
775	C₂×Dic₅	—	4	4	no	—
776	C₂×Dic₅	C₂×#41	1	2	yes	—
777	C₂×Dic₅	C₂×#41	1	2	yes	—
778	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
779	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
780	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
781	Dic₁₀	—	4	4	no	—
782	Dic₁₀	—	4	4	no	—
783	Dic₁₀	—	4	4	no	—
784	C₂²×Q₈	—	5	1	no	—
785	C₂²×Q₈	—	5	1	no	—
786	C₂²×Q₈	—	5	1	no	—
787	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
788	C₂³×C₄	—	5	1	no	—
789	C₂³×C₄	—	5	1	no	—
790	C₄⋊Q₈	—	10	4	no	—
791	#126	—	10	4	no	—
792	#126	—	10	4	no	—
793	C₄×Q₈	—	20	2	no	—
794	C₄×Q₈	—	20	2	no	—
795	C₄×Q₈	—	20	2	no	—
796	C₄×D₄	—	20	2	no	—
797	#117	—	20	2	no	—
798	#117	—	20	2	no	—
799	C₂×C₄⋊C₄	—	5	1	no	—
800	C₂×C₄⋊C₄	—	5	1	no	—
801	C₂×C₄⋊C₄	—	5	1	no	—
802	C₂×C₄⋊C₄	—	5	1	no	—
803	C₂×C₄⋊C₄	—	5	1	no	—
804	C₂×C₄⋊C₄	—	5	1	no	—
805	C₂×C₄⋊C₄	—	5	1	no	—
806	C₂×C₄⋊C₄	—	5	1	no	—
807	C₂×C₄⋊C₄	—	5	1	no	—
808	C₂×C₄⋊C₄	—	5	1	no	—
809	C₂×C₄⋊C₄	—	5	1	no	—
810	C₂×C₄⋊C₄	—	5	1	no	—
811	C₂×C₄⋊C₄	—	5	1	no	—
812	C₂×C₄⋊C₄	—	5	1	no	—
813	C₂×C₄⋊C₄	—	5	1	no	—
814	C₂×C₄⋊C₄	—	5	1	no	—
815	C₂×C₄⋊C₄	—	5	1	no	—
816	C₂×C₄⋊C₄	—	5	1	no	—
817	C₂×C₄⋊C₄	—	5	1	no	—
818	C₂×C₄⋊C₄	—	5	1	no	—
819	C₂×C₄⋊C₄	—	5	1	no	—
820	C₂×C₄⋊C₄	—	5	1	no	—
821	C₂×C₄⋊C₄	—	5	1	no	—
822	C₂×C₄⋊C₄	—	5	1	no	—
823	C₂×C₄⋊C₄	—	5	1	no	—
824	C₂×C₄⋊C₄	—	5	1	no	—
825	C₂×C₄⋊C₄	—	5	1	no	—
826	C₂×C₄⋊C₄	—	5	1	no	—
827	C₂×C₄⋊C₄	—	5	1	no	—
828	C₂×C₄⋊C₄	—	5	1	no	—
829	C₂×C₄⋊C₄	—	5	1	no	—
830	C₂×C₄⋊C₄	—	5	1	no	—
831	C₂×C₄⋊C₄	—	5	1	no	—
832	C₂×C₄⋊C₄	—	5	1	no	—
833	C₂×C₄⋊C₄	—	5	1	no	—
834	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
835	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
839	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
840	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
841	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
842	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
845	C₂×C₂²⋊C₄	—	5	1	no	—
846	C₂×C₂²⋊C₄	—	5	1	no	—
847	C₂×C₂²⋊C₄	—	5	1	no	—
848	C₂×C₂²⋊C₄	—	5	1	no	—
849	C₂×C₂²⋊C₄	—	5	1	no	—
850	C₂×C₂²⋊C₄	—	5	1	no	—
851	C₂×C₂²⋊C₄	—	5	1	no	—
852	C₂×C₂²⋊C₄	—	5	1	no	—
853	C₂×C₂²⋊C₄	—	5	1	no	—
854	C₂×C₂²⋊C₄	—	5	1	no	—
855	C₂×C₂²⋊C₄	—	5	1	no	—
856	C₂×C₂²⋊C₄	—	5	1	no	—
857	C₂×C₂²⋊C₄	—	5	1	no	—
858	C₂×C₂²⋊C₄	—	5	1	no	—
859	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
862	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
863	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
865	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
866	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
867	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
868	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
869	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
870	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
871	C₂×C₄²	—	5	1	no	—
872	C₂×C₄²	—	5	1	no	—
873	C₂×C₄²	—	5	1	no	—
874	C₂×C₄²	—	5	1	no	—
875	C₂×C₄²	—	5	1	no	—
876	C₂×C₄²	—	5	1	no	—
877	C₂×C₄²	—	5	1	no	—
878	C₂×C₄²	—	5	1	no	—
879	C₂×C₄²	—	5	1	no	—
880	C₂×C₄²	—	5	1	no	—
881	C₂×C₄²	—	5	1	no	—
882	C₂×C₄²	—	5	1	no	—
883	C₂×C₄²	—	5	1	no	—
884	C₂×C₄²	—	5	1	no	—
885	C₂×C₄²	—	5	1	no	—
886	C₂×C₄²	—	5	1	no	—
887	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
888	#95	—	5	1	no	—
889	#95	—	5	1	no	—
890	#95	—	5	1	no	—
891	#95	—	5	1	no	—
892	#95	—	5	1	no	—
893	#95	—	5	1	no	—
894	#95	—	5	1	no	—
895	#95	—	5	1	no	—
896	#95	—	5	1	no	—
897	#95	—	5	1	no	—
898	#95	—	5	1	no	—
899	#95	—	5	1	no	—
900	#95	—	5	1	no	—
901	#95	—	5	1	no	—
902	#95	—	5	1	no	—
903	#95	—	5	1	no	—
904	#95	—	5	1	no	—
905	#95	—	5	1	no	—
906	#95	—	5	1	no	—
907	#95	—	5	1	no	—
908	#95	—	5	1	no	—
909	#95	—	5	1	no	—
910	#95	—	5	1	no	—
911	#95	—	5	1	no	—
912	#95	—	5	1	no	—
913	#95	—	5	1	no	—
914	#95	—	5	1	no	—
915	#95	—	5	1	no	—
916	#95	—	5	1	no	—
917	#95	—	5	1	no	—
918	#95	—	5	1	no	—
919	#95	—	5	1	no	—
920	#95	—	5	1	no	—
921	#95	—	5	1	no	—
922	#95	—	5	1	no	—
923	#95	—	5	1	no	—
924	#95	—	5	1	no	—
925	#95	—	5	1	no	—
926	#95	—	5	1	no	—
927	#95	—	5	1	no	—
928	#95	—	5	1	no	—
929	#95	—	5	1	no	—
930	#95	—	5	1	no	—
931	#95	—	5	1	no	—
932	#95	—	5	1	no	—
933	#95	—	5	1	no	—
934	#95	—	5	1	no	—
935	#95	—	5	1	no	—
936	#95	—	5	1	no	—
937	#95	—	5	1	no	—
938	#95	C₂²×D₅	1	1	yes	characteristic
939	#95	C₂²×D₅	1	1	yes	characteristic
940	#95	C₂²×D₅	1	1	yes	characteristic
941	#95	C₂²×D₅	1	1	yes	characteristic
942	#95	C₂²×D₅	1	1	yes	characteristic
943	#95	C₂²×D₅	1	1	yes	characteristic
944	#95	C₂²×D₅	1	1	yes	characteristic
945	#95	C₂²×D₅	1	1	yes	characteristic
946	#95	C₂²×D₅	1	1	yes	characteristic
947	#95	C₂²×D₅	1	1	yes	characteristic
948	C₂²×C₅	—	4	1	no	—
949	C₂²×C₅	—	4	1	no	—
950	C₂²×C₅	—	4	1	no	—
951	C₂²×C₅	—	4	1	no	—
952	C₂²×C₅	—	4	1	no	—
953	C₂²×C₅	—	4	1	no	—
954	C₂²×C₅	—	4	1	no	—
955	C₂²×C₅	—	4	1	no	—
956	C₂²×C₅	—	4	1	no	—
957	C₂²×C₅	—	4	1	no	—
958	C₂²×C₅	—	4	1	no	—
959	C₂²×C₅	—	4	1	no	—
960	C₂²×C₅	—	4	1	no	—
961	C₂²×C₅	—	4	1	no	—
962	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
963	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
964	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
965	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
966	C₂²×C₅	#585	1	1	yes	characteristic
967	C₂²×C₅	#585	1	1	yes	characteristic
968	C₂²×C₅	#585	1	1	yes	characteristic
969	C₄×C₅	—	2	2	no	—
970	C₄×C₅	—	4	1	no	—
971	C₄×C₅	—	4	1	no	—
972	C₄×C₅	—	4	1	no	—
973	C₄×C₅	—	4	1	no	—
974	C₄×C₅	—	4	1	no	—
975	C₄×C₅	—	4	1	no	—
976	C₄×C₅	—	4	1	no	—
977	C₄×C₅	—	4	1	no	—
978	C₄×C₅	—	4	1	no	—
979	C₄×C₅	—	4	1	no	—
980	C₄×C₅	—	4	1	no	—
981	C₄×C₅	—	4	1	no	—
982	Dic₅	—	2	2	no	—
983	Dic₅	—	2	2	no	—
984	Dic₅	—	4	1	no	—
985	Dic₅	—	4	1	no	—
986	Dic₅	—	4	1	no	—
987	Dic₅	—	4	1	no	—
988	Dic₅	—	4	1	no	—
989	Dic₅	—	4	1	no	—
990	Dic₅	—	4	1	no	—
991	Dic₅	—	4	1	no	—
992	Dic₅	—	4	1	no	—
993	Dic₅	—	4	1	no	—
994	Dic₅	—	4	1	no	—
995	Dic₅	—	4	1	no	—
996	Dic₅	—	4	1	no	—
997	Dic₅	#563	1	4	yes	—
998	C₂⁴	C₂³×D₅	1	1	yes	characteristic
999	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1000	C₂×Q₈	—	10	2	no	—
1001	C₂×Q₈	—	10	2	no	—
1002	C₂×Q₈	—	20	1	no	—
1003	C₂×Q₈	—	20	1	no	—
1004	C₂×Q₈	—	20	1	no	—
1005	C₂×Q₈	—	20	1	no	—
1006	C₂×Q₈	—	20	1	no	—
1007	C₂×Q₈	—	20	1	no	—
1008	C₂×Q₈	—	20	1	no	—
1009	C₂×D₄	—	4	1	no	—
1010	C₂×D₄	—	4	1	no	—
1011	C₂×D₄	—	4	1	no	—
1012	C₂²×C₄	—	5	1	no	—
1013	C₂²×C₄	—	5	1	no	—
1014	C₂²×C₄	—	5	1	no	—
1015	C₂²×C₄	—	5	1	no	—
1016	C₂²×C₄	—	5	1	no	—
1017	C₂²×C₄	—	5	1	no	—
1018	C₂²×C₄	—	5	1	no	—
1019	C₂²×C₄	—	5	1	no	—
1020	C₂²×C₄	—	5	1	no	—
1021	C₂²×C₄	—	5	1	no	—
1022	C₂²×C₄	—	5	1	no	—
1023	C₂²×C₄	—	5	1	no	—
1024	C₂²×C₄	—	5	1	no	—
1025	C₂²×C₄	—	5	1	no	—
1026	C₂²×C₄	—	5	1	no	—
1027	C₂²×C₄	—	5	1	no	—
1028	C₂²×C₄	—	10	2	no	—
1029	C₂²×C₄	—	10	2	no	—
1030	C₂²×C₄	—	10	2	no	—
1031	C₂²×C₄	—	10	2	no	—
1032	C₂²×C₄	—	10	2	no	—
1033	C₂²×C₄	—	10	2	no	—
1034	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1035	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1036	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1037	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	4	1	no	—
1049	C₄⋊C₄	—	4	1	no	—
1050	C₄⋊C₄	—	4	1	no	—
1051	C₄⋊C₄	—	4	1	no	—
1052	C₄⋊C₄	—	4	1	no	—
1053	C₄⋊C₄	—	4	1	no	—
1054	C₄⋊C₄	—	4	1	no	—
1055	C₄⋊C₄	—	4	1	no	—
1056	C₄⋊C₄	—	4	1	no	—
1057	C₄⋊C₄	—	4	1	no	—
1058	C₄⋊C₄	—	10	2	no	—
1059	C₄⋊C₄	—	10	2	no	—
1060	C₄⋊C₄	—	10	2	no	—
1061	C₄⋊C₄	—	10	2	no	—
1062	C₄⋊C₄	—	10	2	no	—
1063	C₄⋊C₄	—	10	2	no	—
1064	C₄⋊C₄	—	10	2	no	—
1065	C₄⋊C₄	—	10	2	no	—
1066	C₄⋊C₄	—	10	2	no	—
1067	C₄⋊C₄	—	20	1	no	—
1068	C₄⋊C₄	—	20	1	no	—
1069	C₄⋊C₄	—	20	1	no	—
1070	C₄⋊C₄	—	20	1	no	—
1071	C₄⋊C₄	—	20	1	no	—
1072	C₄⋊C₄	—	20	1	no	—
1073	C₄⋊C₄	—	20	1	no	—
1074	C₄⋊C₄	—	20	1	no	—
1075	C₄⋊C₄	—	20	1	no	—
1076	C₄⋊C₄	—	20	1	no	—
1077	C₄⋊C₄	—	20	1	no	—
1078	C₄⋊C₄	—	20	1	no	—
1079	C₄⋊C₄	—	20	1	no	—
1080	C₄⋊C₄	—	20	1	no	—
1081	C₄⋊C₄	—	20	1	no	—
1082	C₄⋊C₄	—	20	1	no	—
1083	C₄⋊C₄	—	20	1	no	—
1084	C₄⋊C₄	—	20	1	no	—
1085	C₄⋊C₄	—	20	1	no	—
1086	C₄⋊C₄	—	20	1	no	—
1087	C₄⋊C₄	—	20	1	no	—
1088	C₄⋊C₄	—	20	1	no	—
1089	C₄⋊C₄	—	20	1	no	—
1090	C₄⋊C₄	—	20	1	no	—
1091	C₄⋊C₄	—	20	1	no	—
1092	C₄⋊C₄	—	20	1	no	—
1093	C₂²⋊C₄	—	2	2	no	—
1094	C₂²⋊C₄	—	2	2	no	—
1095	C₂²⋊C₄	—	4	1	no	—
1096	C₂²⋊C₄	—	4	1	no	—
1097	C₂²⋊C₄	—	4	1	no	—
1098	C₂²⋊C₄	—	4	1	no	—
1099	C₂²⋊C₄	—	4	1	no	—
1100	C₂²⋊C₄	—	4	1	no	—
1101	C₂²⋊C₄	—	4	1	no	—
1102	C₂²⋊C₄	—	4	1	no	—
1103	C₂²⋊C₄	—	4	1	no	—
1104	C₂²⋊C₄	—	4	1	no	—
1105	C₂²⋊C₄	—	10	2	no	—
1106	C₂²⋊C₄	—	10	2	no	—
1107	C₂²⋊C₄	—	10	2	no	—
1108	C₂²⋊C₄	—	10	2	no	—
1109	C₂²⋊C₄	—	20	1	no	—
1110	C₂²⋊C₄	—	20	1	no	—
1111	C₂²⋊C₄	—	20	1	no	—
1112	C₂²⋊C₄	—	20	1	no	—
1113	C₂²⋊C₄	—	20	1	no	—
1114	C₂²⋊C₄	—	20	1	no	—
1115	C₂²⋊C₄	—	20	1	no	—
1116	C₂²⋊C₄	—	20	1	no	—
1117	C₂²⋊C₄	—	20	1	no	—
1118	C₂²⋊C₄	—	20	1	no	—
1119	C₄²	—	4	1	no	—
1120	C₄²	—	5	4	no	—
1121	C₄²	—	10	2	no	—
1122	C₄²	—	10	2	no	—
1123	C₄²	—	10	2	no	—
1124	C₄²	—	10	2	no	—
1125	C₄²	—	10	2	no	—
1126	C₄²	—	10	2	no	—
1127	C₄²	—	10	2	no	—
1128	C₄²	—	10	2	no	—
1129	C₄²	—	10	2	no	—
1130	C₄²	—	10	2	no	—
1131	C₄²	—	10	2	no	—
1132	C₄²	—	10	2	no	—
1133	C₄²	—	10	2	no	—
1134	C₄²	—	20	1	no	—
1135	C₄²	—	20	1	no	—
1136	C₂×C₅	—	8	1	no	—
1137	C₂×C₅	—	8	1	no	—
1138	C₂×C₅	#3460	1	1	yes	characteristic
1139	C₂×C₅	#3461	1	1	yes	characteristic
1140	C₂×C₅	#3461	1	1	yes	characteristic
1141	C₂×C₅	C₂×#563	1	1	yes	characteristic
1142	C₂×C₅	#3529	1	1	yes	characteristic
1143	C₂×C₅	#3531	1	1	yes	characteristic
1144	C₂×C₅	#3531	1	1	yes	characteristic
1145	C₂³	—	2	1	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	1	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	1	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	1	no	—
1159	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1160	Q₈	—	20	4	no	—
1161	Q₈	—	20	4	no	—
1162	Q₈	—	20	4	no	—
1163	D₄	—	4	4	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	5	2	no	—
1203	C₂×C₄	—	5	2	no	—
1204	C₂×C₄	—	5	2	no	—
1205	C₂×C₄	—	5	2	no	—
1206	C₂×C₄	—	5	2	no	—
1207	C₂×C₄	—	10	1	no	—
1208	C₂×C₄	—	10	1	no	—
1209	C₂×C₄	—	10	1	no	—
1210	C₂×C₄	—	10	1	no	—
1211	C₂×C₄	—	10	1	no	—
1212	C₂×C₄	—	10	1	no	—
1213	C₂×C₄	—	10	1	no	—
1214	C₂×C₄	—	10	1	no	—
1215	C₂×C₄	—	10	1	no	—
1216	C₂×C₄	—	10	1	no	—
1217	C₂×C₄	—	10	1	no	—
1218	C₂×C₄	—	10	1	no	—
1219	C₂×C₄	—	10	1	no	—
1220	C₂×C₄	—	10	1	no	—
1221	C₂×C₄	—	10	1	no	—
1222	C₂×C₄	—	10	1	no	—
1223	C₂×C₄	—	10	1	no	—
1224	C₂×C₄	—	10	1	no	—
1225	C₂×C₄	—	10	1	no	—
1226	C₂×C₄	—	10	1	no	—
1227	C₂×C₄	—	10	1	no	—
1228	C₂×C₄	—	10	1	no	—
1229	C₂×C₄	—	10	1	no	—
1230	C₂×C₄	—	10	1	no	—
1231	C₂×C₄	—	10	1	no	—
1232	C₂×C₄	—	10	1	no	—
1233	C₂×C₄	—	10	1	no	—
1234	C₂×C₄	—	10	1	no	—
1235	C₂×C₄	—	10	1	no	—
1236	C₂×C₄	—	10	1	no	—
1237	C₂×C₄	—	10	1	no	—
1238	C₂×C₄	—	10	1	no	—
1239	C₂×C₄	—	10	1	no	—
1240	C₂×C₄	—	10	1	no	—
1241	C₂×C₄	—	10	1	no	—
1242	C₂×C₄	—	10	1	no	—
1243	C₂×C₄	—	10	1	no	—
1244	C₂×C₄	—	10	1	no	—
1245	C₂×C₄	—	10	1	no	—
1246	C₂×C₄	—	10	1	no	—
1247	C₂×C₄	—	10	1	no	—
1248	C₂×C₄	—	10	1	no	—
1249	C₂×C₄	—	10	1	no	—
1250	C₂×C₄	—	20	4	no	—
1251	C₂×C₄	—	20	4	no	—
1252	C₂×C₄	D₅×#41	1	2	yes	—
1253	C₅	#36697	1	1	yes	characteristic, complemented, Sylow
1254	C₂²	—	4	1	no	—
1255	C₂²	—	4	1	no	—
1256	C₂²	—	4	1	no	—
1257	C₂²	—	4	1	no	—
1258	C₂²	—	4	1	no	—
1259	C₂²	—	4	1	no	—
1260	C₂²	—	4	1	no	—
1261	C₂²	—	4	1	no	—
1262	C₂²	—	4	1	no	—
1263	C₂²	—	4	1	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	4	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1269	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1270	C₂²	#66285	1	1	yes	characteristic
1271	C₂²	#66285	1	1	yes	characteristic
1272	C₂²	#66285	1	1	yes	characteristic
1273	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1274	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1275	C₄	—	2	2	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	5	4	no	—
1289	C₄	—	10	2	no	—
1290	C₄	—	10	2	no	—
1291	C₄	—	20	1	no	—
1292	C₄	—	20	1	no	—
1293	C₄	—	20	1	no	—
1294	C₄	—	20	1	no	—
1295	C₄	—	20	1	no	—
1296	C₄	—	20	1	no	—
1297	C₄	—	20	1	no	—
1298	C₄	—	20	1	no	—
1299	C₄	—	20	1	no	—
1300	C₄	—	20	1	no	—
1301	C₄	—	20	1	no	—
1302	C₄	—	20	1	no	—
1303	C₄	—	20	1	no	—
1304	C₂	—	8	1	no	—
1305	C₂	—	8	1	no	—
1306	C₂	#10618330	1	1	yes	characteristic
1307	C₂	#10618369	1	1	yes	characteristic
1308	C₂	#10618426	1	1	yes	characteristic
1309	C₂	#10618971	1	1	yes	characteristic
1310	C₂	#10618995	1	1	yes	characteristic
1311	C₂	#10618995	1	1	yes	characteristic
1312	C₂	D₅×#563	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2837	C₂
prime radical	C₂²×C₅×D₄	C₂³
hypercenter	#2837	D₅
hypocenter	C₅	#36697
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2837

Complements

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

N	H ≅ G/N	type
2. #10610055	C₂	semidirect
3. #10609864	C₂	semidirect
4. #10609829	C₂	semidirect
5. #10609823	C₂	semidirect
6. #10609749	C₂	semidirect
7. #10609749	C₂	semidirect
8. #10609674	C₂	semidirect
9. #10609673	C₂	semidirect
10. #10609472	C₂	semidirect
11. #10609471	C₂	semidirect
12. #10609385	C₂	semidirect
13. #10609379	C₂	semidirect
14. #10609192	C₂	semidirect
15. #10609192	C₂	semidirect
16. #10609139	C₂	semidirect
17. #10609137	C₂	semidirect
18. #10609013	C₂	semidirect
19. #10609013	C₂	semidirect
26. #10607920	C₂	semidirect
27. #10607698	C₂	semidirect
28. #10607550	C₂	semidirect
29. #10607547	C₂	semidirect
30. #10607186	C₂	semidirect
31. #10607186	C₂	semidirect
1253. C₅	#36697	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2837	2
#10610055	2
#10609864	2
#10609829	2
#10609823	2
#10609749	2
#10609674	2
#10609673	2
#10609472	2
#10609471	2
#10609385	2
#10609379	2
#10609192	2
#10609139	2
#10609137	2
#10609013	2
#10608834	2
#10608832	2
#10608820	2
#10608624	2
#10608623	2
#10607920	2
#10607698	2
#10607550	2
#10607547	2
#10607186	2
#36697	5