Subgroups — #12313915

Order 1280.

1356 conjugacy classes of subgroups.

The subgroup lattice has 1240 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2788	C₂	1	1	yes	maximal, characteristic
2	#10610037	C₂	1	1	yes	maximal, characteristic, complemented
3	#10609991	C₂	1	1	yes	maximal, characteristic, complemented
4	#10609961	C₂	1	1	yes	maximal, characteristic, complemented
5	#10609907	C₂	1	1	yes	maximal, characteristic, complemented
6	#10609646	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609523	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609128	C₂	1	1	yes	maximal, characteristic
9	#10609057	C₂	1	1	yes	maximal, characteristic
10	#10608966	C₂	1	1	yes	maximal, characteristic, complemented
11	#10608929	C₂	1	1	yes	maximal, characteristic, complemented
12	#10608572	C₂	1	1	yes	maximal, characteristic
13	#10608547	C₂	1	1	yes	maximal, characteristic
14	#10608316	C₂	1	1	yes	maximal, characteristic, complemented
15	#10608282	C₂	1	1	yes	maximal, characteristic, complemented
16	#10607923	C₂	1	1	yes	maximal, characteristic, complemented
17	#10607897	C₂	1	1	yes	maximal, characteristic, complemented
18	#10607876	C₂	1	1	yes	maximal, characteristic, complemented
19	#10607709	C₂	1	1	yes	maximal, characteristic, complemented
20	#10607554	C₂	1	1	yes	maximal, characteristic
21	#10607529	C₂	1	1	yes	maximal, characteristic
22	#10607469	C₂	1	1	yes	maximal, characteristic
23	#10607318	C₂	1	1	yes	maximal, characteristic
24	#10606977	C₂	1	1	yes	maximal, characteristic, complemented
25	#10606669	C₂	1	1	yes	maximal, characteristic, complemented
26	#10606304	C₂	1	1	yes	maximal, characteristic
27	#10606292	C₂	1	1	yes	maximal, characteristic
28	#10606232	C₂	1	1	yes	maximal, characteristic
29	#10606228	C₂	1	1	yes	maximal, characteristic
30	#10605720	C₂	1	1	yes	maximal, characteristic
31	#10605599	C₂	1	1	yes	maximal, characteristic
32	C₂×#4072	C₂²	1	1	yes	characteristic
33	C₂×#4035	C₂²	1	1	yes	characteristic
34	C₂×#4033	C₂²	1	1	yes	characteristic
35	C₅×#400	C₂²	1	1	yes	characteristic
36	C₅×#400	C₂²	1	1	yes	characteristic
37	C₅×#398	C₂²	1	1	yes	characteristic
38	C₅×#396	C₂²	1	1	yes	characteristic
39	C₅×#395	C₂²	1	1	yes	characteristic
40	C₅×#393	C₂²	1	1	yes	characteristic
41	C₅×#391	C₂²	1	1	yes	characteristic
42	C₅×#389	C₂²	1	1	yes	characteristic
43	C₅×#389	C₂²	1	1	yes	characteristic
44	C₅×#388	C₂²	1	1	yes	characteristic
45	C₅×#388	C₂²	1	1	yes	characteristic
46	C₅×#387	C₂²	1	1	yes	characteristic
47	C₅×#385	C₂²	1	1	yes	characteristic
48	C₅×#385	C₂²	1	1	yes	characteristic
49	C₅×#380	C₂²	1	1	yes	characteristic
50	#65519	C₂²	1	1	yes	characteristic
51	#65519	C₂²	1	1	yes	characteristic
52	#65518	C₂²	1	1	yes	characteristic
53	#65518	C₂²	1	1	yes	characteristic
54	#65501	C₂²	1	1	yes	characteristic
55	#65499	C₂²	1	1	yes	characteristic
56	#65499	C₂²	1	1	yes	characteristic
57	#65275	C₂²	1	1	yes	characteristic
58	#65274	C₂²	1	1	yes	characteristic
59	#65273	C₂²	1	1	yes	characteristic
60	#65273	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	#65272	C₂²	1	1	yes	characteristic
67	#65271	C₂²	1	1	yes	characteristic
68	#65270	C₂²	1	1	yes	characteristic
69	#65270	C₂²	1	1	yes	characteristic
70	#65270	C₂²	1	1	yes	characteristic
71	#65270	C₂²	1	1	yes	characteristic
72	#65270	C₂²	1	1	yes	characteristic
73	#65270	C₂²	1	1	yes	characteristic
74	#65269	C₂²	1	1	yes	characteristic
75	#65269	C₂²	1	1	yes	characteristic
76	#65267	C₂²	1	1	yes	characteristic
77	#65267	C₂²	1	1	yes	characteristic
78	#65267	C₂²	1	1	yes	characteristic
79	#65267	C₂²	1	1	yes	characteristic
80	#65267	C₂²	1	1	yes	characteristic
81	#65267	C₂²	1	1	yes	characteristic
82	#65267	C₂²	1	1	yes	characteristic
83	#65267	C₂²	1	1	yes	characteristic
84	#65267	C₂²	1	1	yes	characteristic
85	#65267	C₂²	1	1	yes	characteristic
86	#65267	C₂²	1	1	yes	characteristic
87	#65266	C₂²	1	1	yes	characteristic
88	#65265	C₂²	1	1	yes	characteristic
89	#65265	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	#65263	C₂²	1	1	yes	characteristic
94	#65263	C₂²	1	1	yes	characteristic
95	#65262	C₂²	1	1	yes	characteristic
96	#65262	C₂²	1	1	yes	characteristic
97	#65261	C₂²	1	1	yes	characteristic
98	#65261	C₂²	1	1	yes	characteristic
99	#65241	C₂²	1	1	yes	characteristic
100	#65241	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	#65240	C₂²	1	1	yes	characteristic
106	#65240	C₂²	1	1	yes	characteristic
107	#65240	C₂²	1	1	yes	characteristic
108	#65240	C₂²	1	1	yes	characteristic
109	#65238	C₂²	1	1	yes	characteristic
110	#65237	C₂²	1	1	yes	characteristic
111	#65236	C₂²	1	1	yes	characteristic
112	#65236	C₂²	1	1	yes	characteristic
113	#65234	C₂²	1	1	yes	characteristic
114	#65234	C₂²	1	1	yes	characteristic
115	#65234	C₂²	1	1	yes	characteristic
116	#65234	C₂²	1	1	yes	characteristic
117	#65234	C₂²	1	1	yes	characteristic
118	#65234	C₂²	1	1	yes	characteristic
119	#65233	C₂²	1	1	yes	characteristic
120	#65233	C₂²	1	1	yes	characteristic
121	#65233	C₂²	1	1	yes	characteristic
122	#65233	C₂²	1	1	yes	characteristic
123	#65226	C₂²	1	1	yes	characteristic
124	#65222	C₂²	1	1	yes	characteristic
125	#65222	C₂²	1	1	yes	characteristic
126	#65222	C₂²	1	1	yes	characteristic
127	#65222	C₂²	1	1	yes	characteristic
128	C₄×#683	C₂²	1	1	yes	characteristic
129	C₄²×Dic₅	C₂²	1	1	yes	characteristic
130	#65218	C₂²	1	1	yes	characteristic
131	C₅⋊#401	C₂²	1	1	yes	characteristic
132	C₅⋊#401	C₂²	1	1	yes	characteristic
133	#64949	C₂²	1	1	yes	characteristic
134	#64949	C₂²	1	1	yes	characteristic
135	#64949	C₂²	1	1	yes	characteristic
136	#64949	C₂²	1	1	yes	characteristic
137	#64948	C₂²	1	1	yes	characteristic
138	#64948	C₂²	1	1	yes	characteristic
139	#64947	C₂²	1	1	yes	characteristic
140	#64947	C₂²	1	1	yes	characteristic
141	#64947	C₂²	1	1	yes	characteristic
142	#64947	C₂²	1	1	yes	characteristic
143	#64947	C₂²	1	1	yes	characteristic
144	#64947	C₂²	1	1	yes	characteristic
145	#64947	C₂²	1	1	yes	characteristic
146	#64946	C₂²	1	1	yes	characteristic
147	#64945	C₂²	1	1	yes	characteristic
148	#64945	C₂²	1	1	yes	characteristic
149	#64944	C₂²	1	1	yes	characteristic
150	#64944	C₂²	1	1	yes	characteristic
151	#64944	C₂²	1	1	yes	characteristic
152	#64944	C₂²	1	1	yes	characteristic
153	#64943	C₂²	1	1	yes	characteristic
154	#64943	C₂²	1	1	yes	characteristic
155	#64943	C₂²	1	1	yes	characteristic
156	#64943	C₂²	1	1	yes	characteristic
157	#64943	C₂²	1	1	yes	characteristic
158	#64943	C₂²	1	1	yes	characteristic
159	#64943	C₂²	1	1	yes	characteristic
160	#64942	C₂²	1	1	yes	characteristic
161	#64942	C₂²	1	1	yes	characteristic
162	#64942	C₂²	1	1	yes	characteristic
163	#64942	C₂²	1	1	yes	characteristic
164	#64942	C₂²	1	1	yes	characteristic
165	#64941	C₂²	1	1	yes	characteristic
166	#64941	C₂²	1	1	yes	characteristic
167	#64941	C₂²	1	1	yes	characteristic
168	#64941	C₂²	1	1	yes	characteristic
169	#64940	C₂²	1	1	yes	characteristic
170	#64940	C₂²	1	1	yes	characteristic
171	#64940	C₂²	1	1	yes	characteristic
172	#64940	C₂²	1	1	yes	characteristic
173	#64939	C₂²	1	1	yes	characteristic
174	#64938	C₂²	1	1	yes	characteristic
175	#64938	C₂²	1	1	yes	characteristic
176	#64937	C₂²	1	1	yes	characteristic
177	#64937	C₂²	1	1	yes	characteristic
178	#64936	C₂²	1	1	yes	characteristic
179	#64936	C₂²	1	1	yes	characteristic
180	#64936	C₂²	1	1	yes	characteristic
181	#64935	C₂²	1	1	yes	characteristic
182	#64935	C₂²	1	1	yes	characteristic
183	#64935	C₂²	1	1	yes	characteristic
184	#64935	C₂²	1	1	yes	characteristic
185	#64935	C₂²	1	1	yes	characteristic
186	#64935	C₂²	1	1	yes	characteristic
187	#37001	—	5	1	no	maximal, Sylow
188	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
191	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
192	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₅×C₄⋊C₄	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₅×C₂²⋊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×C₄²×C₅	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
219	#4072	—	2	4	no	—
220	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
230	C₂×#683	C₂³	1	1	yes	characteristic
231	C₂×#683	C₂³	1	1	yes	characteristic
232	C₂×#683	C₂³	1	1	yes	characteristic
233	C₂×#683	C₂³	1	1	yes	characteristic
234	C₂×#683	C₂³	1	1	yes	characteristic
235	C₂×#683	C₂³	1	1	yes	characteristic
236	C₂×#683	C₂³	1	1	yes	characteristic
237	C₂×#683	C₂³	1	1	yes	characteristic
238	C₂×#683	C₂³	1	1	yes	characteristic
239	C₂×#683	C₂³	1	1	yes	characteristic
240	C₂×#683	C₂³	1	1	yes	characteristic
241	C₂×#683	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×C₄×Dic₅	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
270	#4035	—	2	4	no	—
271	#4033	—	2	4	no	—
272	C₅×#95	C₂³	1	1	yes	characteristic
273	C₅×#95	C₂³	1	1	yes	characteristic
274	C₅×#95	C₂³	1	1	yes	characteristic
275	C₅×#95	C₂³	1	1	yes	characteristic
276	C₅×#95	C₂³	1	1	yes	characteristic
277	C₅×#95	C₂³	1	1	yes	characteristic
278	C₅×#95	C₂³	1	1	yes	characteristic
279	C₅×#95	C₂³	1	1	yes	characteristic
280	C₅×#95	C₂³	1	1	yes	characteristic
281	C₅×#95	C₂³	1	1	yes	characteristic
282	C₅×#95	C₂³	1	1	yes	characteristic
283	C₅×#95	C₂³	1	1	yes	characteristic
284	C₅×#95	C₂³	1	1	yes	characteristic
285	C₅×#95	C₂³	1	1	yes	characteristic
286	#3963	C₂³	1	1	yes	characteristic
287	#3963	C₂³	1	1	yes	characteristic
288	#3963	C₂³	1	1	yes	characteristic
289	#3963	C₂³	1	1	yes	characteristic
290	#3963	C₂³	1	1	yes	characteristic
291	#3963	C₂³	1	1	yes	characteristic
292	#3963	C₂³	1	1	yes	characteristic
293	#3963	C₂³	1	1	yes	characteristic
294	#3963	C₂³	1	1	yes	characteristic
295	#3963	C₂³	1	1	yes	characteristic
296	#3963	C₂³	1	1	yes	characteristic
297	#3963	C₂³	1	1	yes	characteristic
298	#3963	C₂³	1	1	yes	characteristic
299	#3963	C₂³	1	1	yes	characteristic
300	#3963	C₂³	1	1	yes	characteristic
301	#3963	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	#2866	—	5	1	no	—
347	#2863	—	5	1	no	—
348	#2799	—	5	1	no	—
349	#2798	—	5	1	no	—
350	#2794	—	5	1	no	—
351	#2793	—	5	1	no	—
352	#2792	—	5	1	no	—
353	#2791	—	5	1	no	—
354	#2789	—	5	1	no	—
355	#2788	—	5	1	no	—
356	#2788	D₅	1	1	yes	characteristic
357	#2770	—	5	1	no	—
358	#2770	—	5	1	no	—
359	#2769	—	5	1	no	—
360	#2762	—	5	1	no	—
361	#2759	—	5	1	no	—
362	#2758	—	5	1	no	—
363	#2754	—	5	1	no	—
364	#2655	—	5	1	no	—
365	#2650	—	5	1	no	—
366	#2611	—	5	1	no	—
367	#2605	—	5	1	no	—
368	#2599	—	5	1	no	—
369	#2594	—	5	1	no	—
370	#2588	—	5	1	no	—
371	#2565	—	5	1	no	—
372	#2533	—	5	1	no	—
373	#2532	—	5	1	no	—
374	#2336	—	5	1	no	—
375	#2314	—	5	1	no	—
376	#2295	—	5	1	no	—
377	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
378	C₂×C₅×Q₈	—	4	1	no	—
379	C₂×C₅×Q₈	—	4	1	no	—
380	C₂×C₅×Q₈	—	4	1	no	—
381	C₂²×C₄×C₅	—	2	2	no	—
382	C₂²×C₄×C₅	—	4	1	no	—
383	C₂²×C₄×C₅	—	4	1	no	—
384	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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×Dic₅	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
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	C₂×Dic₁₀	—	2	2	no	—
415	C₂×Dic₁₀	—	2	2	no	—
416	C₂×Dic₁₀	—	2	2	no	—
417	C₂×Dic₁₀	—	4	1	no	—
418	C₂×Dic₁₀	—	4	1	no	—
419	C₂×Dic₁₀	—	4	1	no	—
420	C₅×C₄⋊C₄	—	2	2	no	—
421	C₅×C₄⋊C₄	—	2	2	no	—
422	C₅×C₄⋊C₄	—	4	1	no	—
423	C₅×C₄⋊C₄	—	4	1	no	—
424	C₅×C₄⋊C₄	—	4	1	no	—
425	C₅×C₄⋊C₄	—	4	1	no	—
426	C₅×C₄⋊C₄	—	4	1	no	—
427	C₅×C₄⋊C₄	—	4	1	no	—
428	C₅×C₄⋊C₄	—	4	1	no	—
429	C₅×C₄⋊C₄	—	4	1	no	—
430	C₅×C₄⋊C₄	—	4	1	no	—
431	C₅×C₂²⋊C₄	—	2	2	no	—
432	C₅×C₂²⋊C₄	—	4	1	no	—
433	C₅×C₂²⋊C₄	—	4	1	no	—
434	C₅×C₂²⋊C₄	—	4	1	no	—
435	C₅×C₂²⋊C₄	—	4	1	no	—
436	C₅×C₂²⋊C₄	—	4	1	no	—
437	C₄²×C₅	—	4	1	no	—
438	C₄²×C₅	—	4	1	no	—
439	C₂²⋊Dic₅	—	2	2	no	—
440	C₂²⋊Dic₅	—	2	2	no	—
441	C₂²⋊Dic₅	—	2	2	no	—
442	C₂²⋊Dic₅	—	4	1	no	—
443	C₂²⋊Dic₅	—	4	1	no	—
444	C₂²⋊Dic₅	—	4	1	no	—
445	C₂²⋊Dic₅	—	4	1	no	—
446	C₂²⋊Dic₅	—	4	1	no	—
447	C₄⋊Dic₅	—	2	2	no	—
448	C₄⋊Dic₅	—	2	2	no	—
449	C₄⋊Dic₅	—	2	2	no	—
450	C₄⋊Dic₅	—	2	2	no	—
451	C₄⋊Dic₅	—	2	2	no	—
452	C₄⋊Dic₅	—	4	1	no	—
453	C₄⋊Dic₅	—	4	1	no	—
454	C₄⋊Dic₅	—	4	1	no	—
455	C₄⋊Dic₅	—	4	1	no	—
456	C₄⋊Dic₅	—	4	1	no	—
457	#683	—	2	2	no	—
458	#683	—	2	2	no	—
459	#683	—	2	2	no	—
460	#683	—	2	2	no	—
461	#683	—	2	2	no	—
462	#683	—	2	2	no	—
463	#683	—	2	2	no	—
464	#683	—	2	2	no	—
465	#683	—	4	1	no	—
466	#683	—	4	1	no	—
467	#683	—	4	1	no	—
468	#683	—	4	1	no	—
469	#683	—	4	1	no	—
470	#683	—	4	1	no	—
471	#683	—	4	1	no	—
472	#683	—	4	1	no	—
473	#683	—	4	1	no	—
474	#683	—	4	1	no	—
475	#683	—	4	1	no	—
476	#683	—	4	1	no	—
477	#683	—	4	1	no	—
478	#683	—	4	1	no	—
479	#683	—	4	1	no	—
480	#683	—	4	1	no	—
481	C₄×Dic₅	—	2	2	no	—
482	C₄×Dic₅	—	2	2	no	—
483	C₄×Dic₅	—	2	2	no	—
484	C₄×Dic₅	—	2	2	no	—
485	C₄×Dic₅	—	2	2	no	—
486	C₄×Dic₅	—	4	1	no	—
487	C₄×Dic₅	—	4	1	no	—
488	C₄×Dic₅	—	4	1	no	—
489	C₄×Dic₅	—	4	1	no	—
490	C₄×Dic₅	—	4	1	no	—
491	C₄×Dic₅	—	4	1	no	—
492	C₄×Dic₅	—	4	1	no	—
493	C₄×Dic₅	—	4	1	no	—
494	C₄×Dic₅	—	4	1	no	—
495	C₄×Dic₅	—	4	1	no	—
496	C₄×Dic₅	#41	1	4	yes	—
497	C₂×#125	—	5	1	no	—
498	C₂×C₄×Q₈	—	5	1	no	—
499	C₂×#117	—	5	1	no	—
500	#401	—	5	1	no	—
501	#401	—	5	1	no	—
502	#400	—	5	1	no	—
503	#400	—	5	1	no	—
504	#400	—	5	1	no	—
505	#400	—	5	1	no	—
506	#400	—	5	1	no	—
507	#400	—	5	1	no	—
508	#400	—	5	1	no	—
509	#400	—	5	1	no	—
510	#400	—	5	1	no	—
511	#400	—	5	1	no	—
512	#400	—	5	1	no	—
513	#400	—	5	1	no	—
514	#400	—	5	1	no	—
515	#400	—	5	1	no	—
516	#400	—	5	1	no	—
517	#400	C₂×D₅	1	1	yes	characteristic
518	#400	C₂×D₅	1	1	yes	characteristic
519	#399	—	5	1	no	—
520	#398	—	5	1	no	—
521	#398	—	5	1	no	—
522	#398	—	5	1	no	—
523	#398	—	5	1	no	—
524	#398	—	5	1	no	—
525	#398	—	5	1	no	—
526	#398	—	5	1	no	—
527	#398	—	5	1	no	—
528	#398	—	5	1	no	—
529	#398	—	5	1	no	—
530	#398	—	5	1	no	—
531	#398	C₂×D₅	1	1	yes	characteristic
532	#397	—	5	1	no	—
533	#397	—	5	1	no	—
534	#397	—	5	1	no	—
535	#397	—	5	1	no	—
536	#397	—	5	1	no	—
537	#397	—	5	1	no	—
538	#396	—	5	1	no	—
539	#396	C₂×D₅	1	1	yes	characteristic
540	#395	—	5	1	no	—
541	#395	—	5	1	no	—
542	#395	—	5	1	no	—
543	#395	—	5	1	no	—
544	#395	C₂×D₅	1	1	yes	characteristic
545	#393	—	5	1	no	—
546	#393	—	5	1	no	—
547	#393	C₂×D₅	1	1	yes	characteristic
548	#391	—	5	1	no	—
549	#391	—	5	1	no	—
550	#391	—	5	1	no	—
551	#391	—	5	1	no	—
552	#391	—	5	1	no	—
553	#391	—	5	1	no	—
554	#391	—	5	1	no	—
555	#391	—	5	1	no	—
556	#391	—	5	1	no	—
557	#391	—	5	1	no	—
558	#391	—	5	1	no	—
559	#391	C₂×D₅	1	1	yes	characteristic
560	#389	—	5	1	no	—
561	#389	—	5	1	no	—
562	#389	—	5	1	no	—
563	#389	—	5	1	no	—
564	#389	—	5	1	no	—
565	#389	—	5	1	no	—
566	#389	—	5	1	no	—
567	#389	—	5	1	no	—
568	#389	C₂×D₅	1	1	yes	characteristic
569	#389	C₂×D₅	1	1	yes	characteristic
570	#388	—	5	1	no	—
571	#388	—	5	1	no	—
572	#388	—	5	1	no	—
573	#388	—	5	1	no	—
574	#388	—	5	1	no	—
575	#388	—	5	1	no	—
576	#388	—	5	1	no	—
577	#388	—	5	1	no	—
578	#388	—	5	1	no	—
579	#388	—	5	1	no	—
580	#388	—	5	1	no	—
581	#388	—	5	1	no	—
582	#388	—	5	1	no	—
583	#388	—	5	1	no	—
584	#388	C₂×D₅	1	1	yes	characteristic
585	#388	C₂×D₅	1	1	yes	characteristic
586	#387	—	5	1	no	—
587	#387	—	5	1	no	—
588	#387	—	5	1	no	—
589	#387	—	5	1	no	—
590	#387	—	5	1	no	—
591	#387	—	5	1	no	—
592	#387	—	5	1	no	—
593	#387	—	5	1	no	—
594	#387	—	5	1	no	—
595	#387	—	5	1	no	—
596	#387	—	5	1	no	—
597	#387	—	5	1	no	—
598	#387	—	5	1	no	—
599	#387	—	5	1	no	—
600	#387	—	5	1	no	—
601	#387	—	5	1	no	—
602	#387	—	5	1	no	—
603	#387	—	5	1	no	—
604	#387	—	5	1	no	—
605	#387	—	5	1	no	—
606	#387	—	5	1	no	—
607	#387	—	5	1	no	—
608	#387	—	5	1	no	—
609	#387	—	5	1	no	—
610	#387	—	5	1	no	—
611	#387	—	5	1	no	—
612	#387	—	5	1	no	—
613	#387	—	5	1	no	—
614	#387	—	5	1	no	—
615	#387	—	5	1	no	—
616	#387	—	5	1	no	—
617	#387	—	5	1	no	—
618	#387	—	5	1	no	—
619	#387	—	5	1	no	—
620	#387	—	5	1	no	—
621	#387	—	5	1	no	—
622	#387	—	5	1	no	—
623	#387	—	5	1	no	—
624	#387	—	5	1	no	—
625	#387	—	5	1	no	—
626	#387	—	5	1	no	—
627	#387	C₂×D₅	1	1	yes	characteristic
628	#385	—	5	1	no	—
629	#385	—	5	1	no	—
630	#385	C₂×D₅	1	1	yes	characteristic
631	#385	C₂×D₅	1	1	yes	characteristic
632	#384	—	5	1	no	—
633	#384	—	5	1	no	—
634	#383	—	5	1	no	—
635	#383	—	5	1	no	—
636	#383	—	5	1	no	—
637	#383	—	5	1	no	—
638	#383	—	5	1	no	—
639	#382	—	5	1	no	—
640	#382	—	5	1	no	—
641	#380	—	5	1	no	—
642	#380	C₂×D₅	1	1	yes	characteristic
643	C₄×C₄⋊C₄	—	5	1	no	—
644	C₄×C₄⋊C₄	—	5	1	no	—
645	C₄×C₄⋊C₄	—	5	1	no	—
646	C₄×C₄⋊C₄	—	5	1	no	—
647	C₄×C₄⋊C₄	—	5	1	no	—
648	C₄×C₄⋊C₄	—	5	1	no	—
649	#376	—	5	1	no	—
650	#376	—	5	1	no	—
651	C₄³	—	5	1	no	—
652	C₂³×C₅	—	2	1	no	—
653	C₂³×C₅	—	2	1	no	—
654	C₂³×C₅	—	2	1	no	—
655	C₂³×C₅	—	2	1	no	—
656	C₂³×C₅	—	2	1	no	—
657	C₂³×C₅	—	2	1	no	—
658	C₂³×C₅	—	2	1	no	—
659	C₂³×C₅	C₂⁵	1	1	yes	characteristic
660	C₅×Q₈	—	8	2	no	—
661	C₂×C₄×C₅	—	2	1	no	—
662	C₂×C₄×C₅	—	2	1	no	—
663	C₂×C₄×C₅	—	2	1	no	—
664	C₂×C₄×C₅	—	2	1	no	—
665	C₂×C₄×C₅	—	2	1	no	—
666	C₂×C₄×C₅	—	2	1	no	—
667	C₂×C₄×C₅	—	2	1	no	—
668	C₂×C₄×C₅	—	2	1	no	—
669	C₂×C₄×C₅	—	2	1	no	—
670	C₂×C₄×C₅	—	2	1	no	—
671	C₂×C₄×C₅	—	2	1	no	—
672	C₂×C₄×C₅	—	2	1	no	—
673	C₂×C₄×C₅	—	2	1	no	—
674	C₂×C₄×C₅	—	2	1	no	—
675	C₂×C₄×C₅	—	2	1	no	—
676	C₂×C₄×C₅	—	2	1	no	—
677	C₂×C₄×C₅	—	2	1	no	—
678	C₂×C₄×C₅	—	2	1	no	—
679	C₂×C₄×C₅	—	2	1	no	—
680	C₂×C₄×C₅	—	2	1	no	—
681	C₂×C₄×C₅	—	2	1	no	—
682	C₂×C₄×C₅	—	2	1	no	—
683	C₂×C₄×C₅	—	2	1	no	—
684	C₂×C₄×C₅	—	2	1	no	—
685	C₂×C₄×C₅	—	2	1	no	—
686	C₂×C₄×C₅	—	2	1	no	—
687	C₂×C₄×C₅	—	2	1	no	—
688	C₂×C₄×C₅	—	2	1	no	—
689	C₂×C₄×C₅	—	2	1	no	—
690	C₂×C₄×C₅	—	2	1	no	—
691	C₂×C₄×C₅	—	2	1	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	—	4	4	no	—
702	C₂×C₄×C₅	C₂×#41	1	2	yes	—
703	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
704	C₂×Dic₅	—	2	1	no	—
705	C₂×Dic₅	—	2	1	no	—
706	C₂×Dic₅	—	2	1	no	—
707	C₂×Dic₅	—	2	1	no	—
708	C₂×Dic₅	—	2	1	no	—
709	C₂×Dic₅	—	2	1	no	—
710	C₂×Dic₅	—	2	1	no	—
711	C₂×Dic₅	—	2	1	no	—
712	C₂×Dic₅	—	2	1	no	—
713	C₂×Dic₅	—	2	1	no	—
714	C₂×Dic₅	—	2	1	no	—
715	C₂×Dic₅	—	2	1	no	—
716	C₂×Dic₅	—	2	1	no	—
717	C₂×Dic₅	—	2	1	no	—
718	C₂×Dic₅	—	2	1	no	—
719	C₂×Dic₅	—	2	1	no	—
720	C₂×Dic₅	—	2	1	no	—
721	C₂×Dic₅	—	2	1	no	—
722	C₂×Dic₅	—	2	1	no	—
723	C₂×Dic₅	—	2	1	no	—
724	C₂×Dic₅	—	2	1	no	—
725	C₂×Dic₅	—	2	1	no	—
726	C₂×Dic₅	—	2	1	no	—
727	C₂×Dic₅	—	2	1	no	—
728	C₂×Dic₅	—	2	1	no	—
729	C₂×Dic₅	—	2	1	no	—
730	C₂×Dic₅	—	2	1	no	—
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	C₂×#41	1	2	yes	—
750	C₂×Dic₅	C₂×#41	1	2	yes	—
751	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
752	Dic₁₀	—	4	4	no	—
753	Dic₁₀	—	8	2	no	—
754	C₂²×Q₈	—	5	1	no	—
755	C₂²×Q₈	—	5	1	no	—
756	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
757	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
758	#125	—	10	4	no	—
759	C₄×Q₈	—	10	4	no	—
760	#117	—	10	4	no	—
761	C₂×C₄⋊C₄	—	5	1	no	—
762	C₂×C₄⋊C₄	—	5	1	no	—
763	C₂×C₄⋊C₄	—	5	1	no	—
764	C₂×C₄⋊C₄	—	5	1	no	—
765	C₂×C₄⋊C₄	—	5	1	no	—
766	C₂×C₄⋊C₄	—	5	1	no	—
767	C₂×C₄⋊C₄	—	5	1	no	—
768	C₂×C₄⋊C₄	—	5	1	no	—
769	C₂×C₄⋊C₄	—	5	1	no	—
770	C₂×C₄⋊C₄	—	5	1	no	—
771	C₂×C₄⋊C₄	—	5	1	no	—
772	C₂×C₄⋊C₄	—	5	1	no	—
773	C₂×C₄⋊C₄	—	5	1	no	—
774	C₂×C₄⋊C₄	—	5	1	no	—
775	C₂×C₄⋊C₄	—	5	1	no	—
776	C₂×C₄⋊C₄	—	5	1	no	—
777	C₂×C₄⋊C₄	—	5	1	no	—
778	C₂×C₄⋊C₄	—	5	1	no	—
779	C₂×C₄⋊C₄	—	5	1	no	—
780	C₂×C₄⋊C₄	—	5	1	no	—
781	C₂×C₄⋊C₄	—	5	1	no	—
782	C₂×C₄⋊C₄	—	5	1	no	—
783	C₂×C₄⋊C₄	—	5	1	no	—
784	C₂×C₄⋊C₄	—	5	1	no	—
785	C₂×C₄⋊C₄	—	5	1	no	—
786	C₂×C₄⋊C₄	—	5	1	no	—
787	C₂×C₄⋊C₄	—	5	1	no	—
788	C₂×C₄⋊C₄	—	5	1	no	—
789	C₂×C₄⋊C₄	—	5	1	no	—
790	C₂×C₄⋊C₄	—	5	1	no	—
791	C₂×C₄⋊C₄	—	5	1	no	—
792	C₂×C₄⋊C₄	—	5	1	no	—
793	C₂×C₄⋊C₄	—	5	1	no	—
794	C₂×C₄⋊C₄	—	5	1	no	—
795	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
798	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
799	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
800	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
801	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
802	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
803	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
804	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
805	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
806	C₂×C₂²⋊C₄	—	5	1	no	—
807	C₂×C₂²⋊C₄	—	5	1	no	—
808	C₂×C₂²⋊C₄	—	5	1	no	—
809	C₂×C₂²⋊C₄	—	5	1	no	—
810	C₂×C₂²⋊C₄	—	5	1	no	—
811	C₂×C₂²⋊C₄	—	5	1	no	—
812	C₂×C₂²⋊C₄	—	5	1	no	—
813	C₂×C₂²⋊C₄	—	5	1	no	—
814	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
815	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
820	C₂×C₄²	—	5	1	no	—
821	C₂×C₄²	—	5	1	no	—
822	C₂×C₄²	—	5	1	no	—
823	C₂×C₄²	—	5	1	no	—
824	C₂×C₄²	—	5	1	no	—
825	C₂×C₄²	—	5	1	no	—
826	C₂×C₄²	—	5	1	no	—
827	C₂×C₄²	—	5	1	no	—
828	C₂×C₄²	—	5	1	no	—
829	C₂×C₄²	—	5	1	no	—
830	C₂×C₄²	—	5	1	no	—
831	C₂×C₄²	—	5	1	no	—
832	C₂×C₄²	—	5	1	no	—
833	C₂×C₄²	—	5	1	no	—
834	C₂×C₄²	—	5	1	no	—
835	C₂×C₄²	—	5	1	no	—
836	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
837	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
838	#95	—	5	1	no	—
839	#95	—	5	1	no	—
840	#95	—	5	1	no	—
841	#95	—	5	1	no	—
842	#95	—	5	1	no	—
843	#95	—	5	1	no	—
844	#95	—	5	1	no	—
845	#95	—	5	1	no	—
846	#95	—	5	1	no	—
847	#95	—	5	1	no	—
848	#95	—	5	1	no	—
849	#95	—	5	1	no	—
850	#95	—	5	1	no	—
851	#95	—	5	1	no	—
852	#95	—	5	1	no	—
853	#95	—	5	1	no	—
854	#95	—	5	1	no	—
855	#95	—	5	1	no	—
856	#95	—	5	1	no	—
857	#95	—	5	1	no	—
858	#95	—	5	1	no	—
859	#95	—	5	1	no	—
860	#95	—	5	1	no	—
861	#95	—	5	1	no	—
862	#95	—	5	1	no	—
863	#95	—	5	1	no	—
864	#95	—	5	1	no	—
865	#95	—	5	1	no	—
866	#95	—	5	1	no	—
867	#95	—	5	1	no	—
868	#95	—	5	1	no	—
869	#95	—	5	1	no	—
870	#95	—	5	1	no	—
871	#95	—	5	1	no	—
872	#95	—	5	1	no	—
873	#95	—	5	1	no	—
874	#95	—	5	1	no	—
875	#95	—	5	1	no	—
876	#95	—	5	1	no	—
877	#95	—	5	1	no	—
878	#95	—	5	1	no	—
879	#95	—	5	1	no	—
880	#95	—	5	1	no	—
881	#95	—	5	1	no	—
882	#95	—	5	1	no	—
883	#95	—	5	1	no	—
884	#95	—	5	1	no	—
885	#95	—	5	1	no	—
886	#95	—	5	1	no	—
887	#95	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
899	#95	C₂²×D₅	1	1	yes	characteristic
900	#95	C₂²×D₅	1	1	yes	characteristic
901	#95	C₂²×D₅	1	1	yes	characteristic
902	#95	C₂²×D₅	1	1	yes	characteristic
903	#95	C₂²×D₅	1	1	yes	characteristic
904	#95	C₂²×D₅	1	1	yes	characteristic
905	#95	C₂²×D₅	1	1	yes	characteristic
906	#95	C₂²×D₅	1	1	yes	characteristic
907	#95	C₂²×D₅	1	1	yes	characteristic
908	#95	C₂²×D₅	1	1	yes	characteristic
909	#95	C₂²×D₅	1	1	yes	characteristic
910	#95	C₂²×D₅	1	1	yes	characteristic
911	#95	C₂²×D₅	1	1	yes	characteristic
912	C₂²×C₅	—	4	1	no	—
913	C₂²×C₅	—	4	1	no	—
914	C₂²×C₅	—	4	1	no	—
915	C₂²×C₅	—	4	1	no	—
916	C₂²×C₅	—	4	1	no	—
917	C₂²×C₅	—	4	1	no	—
918	C₂²×C₅	—	4	1	no	—
919	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
920	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
921	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
922	C₂²×C₅	#585	1	1	yes	characteristic
923	C₂²×C₅	#585	1	1	yes	characteristic
924	C₂²×C₅	#585	1	1	yes	characteristic
925	C₂²×C₅	#585	1	1	yes	characteristic
926	C₄×C₅	—	2	2	no	—
927	C₄×C₅	—	2	2	no	—
928	C₄×C₅	—	4	1	no	—
929	C₄×C₅	—	4	1	no	—
930	C₄×C₅	—	4	1	no	—
931	C₄×C₅	—	4	1	no	—
932	C₄×C₅	—	4	1	no	—
933	C₄×C₅	—	4	1	no	—
934	C₄×C₅	—	4	1	no	—
935	C₄×C₅	—	4	1	no	—
936	C₄×C₅	—	4	1	no	—
937	C₄×C₅	—	4	1	no	—
938	C₄×C₅	—	4	1	no	—
939	C₄×C₅	—	4	1	no	—
940	Dic₅	—	2	2	no	—
941	Dic₅	—	2	2	no	—
942	Dic₅	—	2	2	no	—
943	Dic₅	—	4	1	no	—
944	Dic₅	—	4	1	no	—
945	Dic₅	—	4	1	no	—
946	Dic₅	—	4	1	no	—
947	Dic₅	—	4	1	no	—
948	Dic₅	—	4	1	no	—
949	Dic₅	—	4	1	no	—
950	Dic₅	—	4	1	no	—
951	Dic₅	—	4	1	no	—
952	Dic₅	—	4	1	no	—
953	Dic₅	—	4	1	no	—
954	Dic₅	—	4	1	no	—
955	Dic₅	—	4	1	no	—
956	C₂⁴	C₂³×D₅	1	1	yes	characteristic
957	C₂×Q₈	—	4	1	no	—
958	C₂×Q₈	—	4	1	no	—
959	C₂×Q₈	—	4	1	no	—
960	C₂×Q₈	—	10	2	no	—
961	C₂×Q₈	—	10	2	no	—
962	C₂×Q₈	—	10	2	no	—
963	C₂×Q₈	—	20	1	no	—
964	C₂×Q₈	—	20	1	no	—
965	C₂×Q₈	—	20	1	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	4	1	no	—
968	C₂²×C₄	—	4	1	no	—
969	C₂²×C₄	—	5	1	no	—
970	C₂²×C₄	—	5	1	no	—
971	C₂²×C₄	—	5	1	no	—
972	C₂²×C₄	—	5	1	no	—
973	C₂²×C₄	—	5	1	no	—
974	C₂²×C₄	—	5	1	no	—
975	C₂²×C₄	—	5	1	no	—
976	C₂²×C₄	—	5	1	no	—
977	C₂²×C₄	—	5	1	no	—
978	C₂²×C₄	—	5	1	no	—
979	C₂²×C₄	—	5	1	no	—
980	C₂²×C₄	—	5	1	no	—
981	C₂²×C₄	—	5	1	no	—
982	C₂²×C₄	—	5	1	no	—
983	C₂²×C₄	—	5	1	no	—
984	C₂²×C₄	—	5	1	no	—
985	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
986	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
987	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
988	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
989	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
990	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
991	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
992	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
993	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
994	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
995	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
996	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
997	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
998	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	2	no	—
1001	C₄⋊C₄	—	4	1	no	—
1002	C₄⋊C₄	—	4	1	no	—
1003	C₄⋊C₄	—	4	1	no	—
1004	C₄⋊C₄	—	4	1	no	—
1005	C₄⋊C₄	—	4	1	no	—
1006	C₄⋊C₄	—	4	1	no	—
1007	C₄⋊C₄	—	4	1	no	—
1008	C₄⋊C₄	—	4	1	no	—
1009	C₄⋊C₄	—	4	1	no	—
1010	C₄⋊C₄	—	10	2	no	—
1011	C₄⋊C₄	—	10	2	no	—
1012	C₄⋊C₄	—	10	2	no	—
1013	C₄⋊C₄	—	10	2	no	—
1014	C₄⋊C₄	—	10	2	no	—
1015	C₄⋊C₄	—	10	2	no	—
1016	C₄⋊C₄	—	10	2	no	—
1017	C₄⋊C₄	—	10	2	no	—
1018	C₄⋊C₄	—	10	2	no	—
1019	C₄⋊C₄	—	10	2	no	—
1020	C₄⋊C₄	—	10	2	no	—
1021	C₄⋊C₄	—	10	2	no	—
1022	C₄⋊C₄	—	10	2	no	—
1023	C₄⋊C₄	—	20	1	no	—
1024	C₄⋊C₄	—	20	1	no	—
1025	C₄⋊C₄	—	20	1	no	—
1026	C₄⋊C₄	—	20	1	no	—
1027	C₄⋊C₄	—	20	1	no	—
1028	C₄⋊C₄	—	20	1	no	—
1029	C₄⋊C₄	—	20	1	no	—
1030	C₄⋊C₄	—	20	1	no	—
1031	C₄⋊C₄	—	20	1	no	—
1032	C₄⋊C₄	—	20	1	no	—
1033	C₄⋊C₄	—	20	1	no	—
1034	C₄⋊C₄	—	20	1	no	—
1035	C₄⋊C₄	—	20	1	no	—
1036	C₄⋊C₄	—	20	1	no	—
1037	C₄⋊C₄	—	20	1	no	—
1038	C₄⋊C₄	—	20	1	no	—
1039	C₄⋊C₄	—	20	1	no	—
1040	C₄⋊C₄	—	20	1	no	—
1041	C₄⋊C₄	—	20	1	no	—
1042	C₄⋊C₄	—	20	1	no	—
1043	C₄⋊C₄	—	20	1	no	—
1044	C₂²⋊C₄	—	2	2	no	—
1045	C₂²⋊C₄	—	4	1	no	—
1046	C₂²⋊C₄	—	4	1	no	—
1047	C₂²⋊C₄	—	4	1	no	—
1048	C₂²⋊C₄	—	4	1	no	—
1049	C₂²⋊C₄	—	4	1	no	—
1050	C₂²⋊C₄	—	10	2	no	—
1051	C₂²⋊C₄	—	10	2	no	—
1052	C₂²⋊C₄	—	10	2	no	—
1053	C₂²⋊C₄	—	20	1	no	—
1054	C₂²⋊C₄	—	20	1	no	—
1055	C₂²⋊C₄	—	20	1	no	—
1056	C₂²⋊C₄	—	20	1	no	—
1057	C₂²⋊C₄	—	20	1	no	—
1058	C₄²	—	4	1	no	—
1059	C₄²	—	4	1	no	—
1060	C₄²	—	5	4	no	—
1061	C₄²	—	10	2	no	—
1062	C₄²	—	10	2	no	—
1063	C₄²	—	10	2	no	—
1064	C₄²	—	10	2	no	—
1065	C₄²	—	10	2	no	—
1066	C₄²	—	20	1	no	—
1067	C₄²	—	20	1	no	—
1068	C₄²	—	20	1	no	—
1069	C₄²	—	20	1	no	—
1070	C₄²	—	20	1	no	—
1071	C₄²	—	20	1	no	—
1072	C₄²	—	20	1	no	—
1073	C₄²	—	20	1	no	—
1074	C₄²	—	20	1	no	—
1075	C₄²	—	20	1	no	—
1076	C₂×C₅	—	8	1	no	—
1077	C₂×C₅	#3455	1	1	yes	characteristic
1078	C₂×C₅	#3495	1	1	yes	characteristic
1079	C₂×C₅	#3507	1	1	yes	characteristic
1080	C₂×C₅	#3555	1	1	yes	characteristic
1081	C₂×C₅	#3564	1	1	yes	characteristic
1082	C₂×C₅	#3565	1	1	yes	characteristic
1083	C₂×C₅	#3566	1	1	yes	characteristic
1084	C₂³	—	2	1	no	—
1085	C₂³	—	2	1	no	—
1086	C₂³	—	2	1	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	2	1	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1092	Q₈	—	8	2	no	—
1093	Q₈	—	20	4	no	—
1094	Q₈	—	40	2	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	4	4	no	—
1136	C₂×C₄	—	5	2	no	—
1137	C₂×C₄	—	5	2	no	—
1138	C₂×C₄	—	5	2	no	—
1139	C₂×C₄	—	10	1	no	—
1140	C₂×C₄	—	10	1	no	—
1141	C₂×C₄	—	10	1	no	—
1142	C₂×C₄	—	10	1	no	—
1143	C₂×C₄	—	10	1	no	—
1144	C₂×C₄	—	10	1	no	—
1145	C₂×C₄	—	10	1	no	—
1146	C₂×C₄	—	10	1	no	—
1147	C₂×C₄	—	10	1	no	—
1148	C₂×C₄	—	10	1	no	—
1149	C₂×C₄	—	10	1	no	—
1150	C₂×C₄	—	10	1	no	—
1151	C₂×C₄	—	10	1	no	—
1152	C₂×C₄	—	10	1	no	—
1153	C₂×C₄	—	10	1	no	—
1154	C₂×C₄	—	10	1	no	—
1155	C₂×C₄	—	10	1	no	—
1156	C₂×C₄	—	10	1	no	—
1157	C₂×C₄	—	10	1	no	—
1158	C₂×C₄	—	10	1	no	—
1159	C₂×C₄	—	10	1	no	—
1160	C₂×C₄	—	10	1	no	—
1161	C₂×C₄	—	10	1	no	—
1162	C₂×C₄	—	10	1	no	—
1163	C₂×C₄	—	10	1	no	—
1164	C₂×C₄	—	10	1	no	—
1165	C₂×C₄	—	10	1	no	—
1166	C₂×C₄	—	10	1	no	—
1167	C₂×C₄	—	10	1	no	—
1168	C₂×C₄	—	10	1	no	—
1169	C₂×C₄	—	10	1	no	—
1170	C₂×C₄	—	10	1	no	—
1171	C₂×C₄	—	10	1	no	—
1172	C₂×C₄	—	10	1	no	—
1173	C₂×C₄	—	10	1	no	—
1174	C₂×C₄	—	10	1	no	—
1175	C₂×C₄	—	10	1	no	—
1176	C₂×C₄	—	10	1	no	—
1177	C₂×C₄	—	10	1	no	—
1178	C₂×C₄	—	10	1	no	—
1179	C₂×C₄	—	10	1	no	—
1180	C₂×C₄	—	10	1	no	—
1181	C₂×C₄	—	10	1	no	—
1182	C₂×C₄	—	10	1	no	—
1183	C₂×C₄	—	10	1	no	—
1184	C₂×C₄	#4147	1	2	yes	—
1185	C₂×C₄	D₅×#41	1	2	yes	—
1186	C₅	#37001	1	1	yes	characteristic, complemented, Sylow
1187	C₂²	—	4	1	no	—
1188	C₂²	—	4	1	no	—
1189	C₂²	—	4	1	no	—
1190	C₂²	—	4	1	no	—
1191	C₂²	—	4	1	no	—
1192	C₂²	—	4	1	no	—
1193	C₂²	—	4	1	no	—
1194	C₂²	C₂×#4147	1	1	yes	characteristic
1195	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1196	C₂²	#66283	1	1	yes	characteristic
1197	C₂²	#66285	1	1	yes	characteristic
1198	C₂²	#66285	1	1	yes	characteristic
1199	C₂²	#66285	1	1	yes	characteristic
1200	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1201	C₄	—	2	2	no	—
1202	C₄	—	2	2	no	—
1203	C₄	—	4	1	no	—
1204	C₄	—	4	1	no	—
1205	C₄	—	4	1	no	—
1206	C₄	—	4	1	no	—
1207	C₄	—	4	1	no	—
1208	C₄	—	4	1	no	—
1209	C₄	—	4	1	no	—
1210	C₄	—	4	1	no	—
1211	C₄	—	4	1	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	4	1	no	—
1214	C₄	—	4	1	no	—
1215	C₄	—	10	2	no	—
1216	C₄	—	10	2	no	—
1217	C₄	—	10	2	no	—
1218	C₄	—	20	1	no	—
1219	C₄	—	20	1	no	—
1220	C₄	—	20	1	no	—
1221	C₄	—	20	1	no	—
1222	C₄	—	20	1	no	—
1223	C₄	—	20	1	no	—
1224	C₄	—	20	1	no	—
1225	C₄	—	20	1	no	—
1226	C₄	—	20	1	no	—
1227	C₄	—	20	1	no	—
1228	C₄	—	20	1	no	—
1229	C₄	—	20	1	no	—
1230	C₄	—	20	1	no	—
1231	C₂	—	8	1	no	—
1232	C₂	#10618288	1	1	yes	characteristic
1233	C₂	#10618312	1	1	yes	characteristic
1234	C₂	#10618491	1	1	yes	characteristic
1235	C₂	#10618845	1	1	yes	characteristic
1236	C₂	#10618851	1	1	yes	characteristic
1237	C₂	#10618883	1	1	yes	characteristic
1238	C₂	#10619004	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2788	C₂
prime radical	C₂⁴×C₅	C₂⁴
hypercenter	#2788	D₅
hypocenter	C₅	#37001
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2788

Complements

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

N	H ≅ G/N	type
2. #10610037	C₂	semidirect
3. #10609991	C₂	semidirect
4. #10609961	C₂	semidirect
5. #10609907	C₂	semidirect
6. #10609646	C₂	semidirect
7. #10609523	C₂	semidirect
10. #10608966	C₂	semidirect
11. #10608929	C₂	semidirect
14. #10608316	C₂	semidirect
15. #10608282	C₂	semidirect
16. #10607923	C₂	semidirect
17. #10607897	C₂	semidirect
18. #10607876	C₂	semidirect
19. #10607709	C₂	semidirect
24. #10606977	C₂	semidirect
25. #10606669	C₂	semidirect
1186. C₅	#37001	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2788	2
#10610037	2
#10609991	2
#10609961	2
#10609907	2
#10609646	2
#10609523	2
#10609128	2
#10609057	2
#10608966	2
#10608929	2
#10608572	2
#10608547	2
#10608316	2
#10608282	2
#10607923	2
#10607897	2
#10607876	2
#10607709	2
#10607554	2
#10607529	2
#10607469	2
#10607318	2
#10606977	2
#10606669	2
#10606304	2
#10606292	2
#10606232	2
#10606228	2
#10605720	2
#10605599	2
#37001	5