Subgroups — #12266698

Order 1280.

1570 conjugacy classes of subgroups.

The subgroup lattice has 1286 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2666	C₂	1	1	yes	maximal, characteristic, complemented
2	#10609966	C₂	1	1	yes	maximal, characteristic, complemented
3	#10609965	C₂	1	1	yes	maximal, characteristic
4	#10609864	C₂	1	1	yes	maximal, characteristic, complemented
5	#10609861	C₂	1	1	yes	maximal, characteristic
6	#10609577	C₂	1	1	yes	maximal, characteristic
7	#10609576	C₂	1	1	yes	maximal, characteristic
8	#10609575	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609573	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	#10609470	C₂	1	1	yes	maximal, characteristic
13	#10609470	C₂	1	1	yes	maximal, characteristic
14	#10608943	C₂	1	1	yes	maximal, characteristic, complemented
15	#10608942	C₂	1	1	yes	maximal, characteristic
16	#10608902	C₂	1	1	yes	maximal, characteristic, complemented
17	#10608901	C₂	1	1	yes	maximal, characteristic
18	#10608376	C₂	1	1	yes	maximal, characteristic
19	#10608208	C₂	1	1	yes	maximal, characteristic, complemented
20	#10607987	C₂	1	1	yes	maximal, characteristic
21	#10607693	C₂	1	1	yes	maximal, characteristic, complemented
22	#10606879	C₂	1	1	yes	maximal, characteristic
23	#10606876	C₂	1	1	yes	maximal, characteristic
24	#10606669	C₂	1	1	yes	maximal, characteristic, complemented
25	#10606669	C₂	1	1	yes	maximal, characteristic, complemented
26	#10606010	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605989	C₂	1	1	yes	maximal, characteristic
28	#10605928	C₂	1	1	yes	maximal, characteristic, complemented
29	#10605878	C₂	1	1	yes	maximal, characteristic
30	#10605479	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#4038	C₂	1	1	yes	maximal, characteristic
32	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic
33	C₂×#4038	C₂²	1	1	yes	characteristic
34	C₂×#4038	C₂²	1	1	yes	characteristic
35	C₂×#4033	C₂²	1	1	yes	characteristic
36	C₂×#4033	C₂²	1	1	yes	characteristic
37	C₂×#4033	C₂²	1	1	yes	characteristic
38	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
39	C₅×#400	C₂²	1	1	yes	characteristic
40	C₅×#400	C₂²	1	1	yes	characteristic
41	C₅×#398	C₂²	1	1	yes	characteristic
42	C₅×#398	C₂²	1	1	yes	characteristic
43	C₅×#398	C₂²	1	1	yes	characteristic
44	C₅×#398	C₂²	1	1	yes	characteristic
45	C₅×#395	C₂²	1	1	yes	characteristic
46	C₅×#395	C₂²	1	1	yes	characteristic
47	C₅×#391	C₂²	1	1	yes	characteristic
48	C₅×#389	C₂²	1	1	yes	characteristic
49	C₅×#387	C₂²	1	1	yes	characteristic
50	C₅×#387	C₂²	1	1	yes	characteristic
51	C₅×#383	C₂²	1	1	yes	characteristic
52	C₅×#382	C₂²	1	1	yes	characteristic
53	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
54	#65520	C₂²	1	1	yes	characteristic
55	#65519	C₂²	1	1	yes	characteristic
56	#65518	C₂²	1	1	yes	characteristic
57	#65283	C₂²	1	1	yes	characteristic
58	#65283	C₂²	1	1	yes	characteristic
59	#65283	C₂²	1	1	yes	characteristic
60	#65283	C₂²	1	1	yes	characteristic
61	#65283	C₂²	1	1	yes	characteristic
62	#65283	C₂²	1	1	yes	characteristic
63	#65281	C₂²	1	1	yes	characteristic
64	#65281	C₂²	1	1	yes	characteristic
65	#65281	C₂²	1	1	yes	characteristic
66	#65276	C₂²	1	1	yes	characteristic
67	#65276	C₂²	1	1	yes	characteristic
68	#65275	C₂²	1	1	yes	characteristic
69	#65275	C₂²	1	1	yes	characteristic
70	#65274	C₂²	1	1	yes	characteristic
71	#65273	C₂²	1	1	yes	characteristic
72	#65273	C₂²	1	1	yes	characteristic
73	#65273	C₂²	1	1	yes	characteristic
74	#65273	C₂²	1	1	yes	characteristic
75	#65273	C₂²	1	1	yes	characteristic
76	#65273	C₂²	1	1	yes	characteristic
77	#65272	C₂²	1	1	yes	characteristic
78	#65272	C₂²	1	1	yes	characteristic
79	#65271	C₂²	1	1	yes	characteristic
80	#65270	C₂²	1	1	yes	characteristic
81	#65270	C₂²	1	1	yes	characteristic
82	#65269	C₂²	1	1	yes	characteristic
83	#65269	C₂²	1	1	yes	characteristic
84	#65268	C₂²	1	1	yes	characteristic
85	#65268	C₂²	1	1	yes	characteristic
86	#65268	C₂²	1	1	yes	characteristic
87	#65268	C₂²	1	1	yes	characteristic
88	#65267	C₂²	1	1	yes	characteristic
89	#65267	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	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
98	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
99	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
100	#65263	C₂²	1	1	yes	characteristic
101	#65262	C₂²	1	1	yes	characteristic
102	#65261	C₂²	1	1	yes	characteristic
103	#65261	C₂²	1	1	yes	characteristic
104	C₄×#685	C₂²	1	1	yes	characteristic
105	C₄×#685	C₂²	1	1	yes	characteristic
106	#65226	C₂²	1	1	yes	characteristic
107	#65225	C₂²	1	1	yes	characteristic
108	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
109	#65222	C₂²	1	1	yes	characteristic
110	#65222	C₂²	1	1	yes	characteristic
111	C₄²×Dic₅	C₂²	1	1	yes	characteristic
112	C₄²×Dic₅	C₂²	1	1	yes	characteristic
113	#65218	C₂²	1	1	yes	characteristic
114	#65217	C₂²	1	1	yes	characteristic
115	#64966	C₂²	1	1	yes	characteristic
116	#64965	C₂²	1	1	yes	characteristic
117	#64965	C₂²	1	1	yes	characteristic
118	#64962	C₂²	1	1	yes	characteristic
119	#64962	C₂²	1	1	yes	characteristic
120	#64962	C₂²	1	1	yes	characteristic
121	#64956	C₂²	1	1	yes	characteristic
122	#64956	C₂²	1	1	yes	characteristic
123	#64955	C₂²	1	1	yes	characteristic
124	#64955	C₂²	1	1	yes	characteristic
125	#64955	C₂²	1	1	yes	characteristic
126	#64955	C₂²	1	1	yes	characteristic
127	#64955	C₂²	1	1	yes	characteristic
128	#64955	C₂²	1	1	yes	characteristic
129	#64953	C₂²	1	1	yes	characteristic
130	#64953	C₂²	1	1	yes	characteristic
131	#64953	C₂²	1	1	yes	characteristic
132	#64953	C₂²	1	1	yes	characteristic
133	#64950	C₂²	1	1	yes	characteristic
134	#64950	C₂²	1	1	yes	characteristic
135	#64950	C₂²	1	1	yes	characteristic
136	#64950	C₂²	1	1	yes	characteristic
137	#64949	C₂²	1	1	yes	characteristic
138	#64949	C₂²	1	1	yes	characteristic
139	#64949	C₂²	1	1	yes	characteristic
140	#64949	C₂²	1	1	yes	characteristic
141	#64948	C₂²	1	1	yes	characteristic
142	#64947	C₂²	1	1	yes	characteristic
143	#64947	C₂²	1	1	yes	characteristic
144	#64946	C₂²	1	1	yes	characteristic
145	#64946	C₂²	1	1	yes	characteristic
146	#64946	C₂²	1	1	yes	characteristic
147	#64946	C₂²	1	1	yes	characteristic
148	#64946	C₂²	1	1	yes	characteristic
149	#64946	C₂²	1	1	yes	characteristic
150	#64945	C₂²	1	1	yes	characteristic
151	#64945	C₂²	1	1	yes	characteristic
152	#64945	C₂²	1	1	yes	characteristic
153	#64945	C₂²	1	1	yes	characteristic
154	#64945	C₂²	1	1	yes	characteristic
155	#64944	C₂²	1	1	yes	characteristic
156	#64944	C₂²	1	1	yes	characteristic
157	#64943	C₂²	1	1	yes	characteristic
158	#64943	C₂²	1	1	yes	characteristic
159	#64942	C₂²	1	1	yes	characteristic
160	#64942	C₂²	1	1	yes	characteristic
161	#64941	C₂²	1	1	yes	characteristic
162	#64941	C₂²	1	1	yes	characteristic
163	#64940	C₂²	1	1	yes	characteristic
164	#64940	C₂²	1	1	yes	characteristic
165	#64939	C₂²	1	1	yes	characteristic
166	#64939	C₂²	1	1	yes	characteristic
167	#64938	C₂²	1	1	yes	characteristic
168	#64938	C₂²	1	1	yes	characteristic
169	#64938	C₂²	1	1	yes	characteristic
170	#64938	C₂²	1	1	yes	characteristic
171	#64938	C₂²	1	1	yes	characteristic
172	#64938	C₂²	1	1	yes	characteristic
173	#64938	C₂²	1	1	yes	characteristic
174	#64938	C₂²	1	1	yes	characteristic
175	#64937	C₂²	1	1	yes	characteristic
176	#64937	C₂²	1	1	yes	characteristic
177	#64937	C₂²	1	1	yes	characteristic
178	#64937	C₂²	1	1	yes	characteristic
179	#64937	C₂²	1	1	yes	characteristic
180	#64937	C₂²	1	1	yes	characteristic
181	#64936	C₂²	1	1	yes	characteristic
182	#64936	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	#34644	—	5	1	no	maximal, Sylow
188	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
192	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
193	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
194	C₂²×Dic₁₀	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
211	Q₈×Dic₅	—	2	4	no	—
212	C₂×#685	C₂³	1	1	yes	characteristic
213	C₂×#685	C₂³	1	1	yes	characteristic
214	C₂×#685	C₂³	1	1	yes	characteristic
215	C₂×#685	C₂³	1	1	yes	characteristic
216	C₂×#685	C₂³	1	1	yes	characteristic
217	C₂×#685	C₂³	1	1	yes	characteristic
218	C₂×#685	C₂³	1	1	yes	characteristic
219	C₂×#685	C₂³	1	1	yes	characteristic
220	C₂×#685	C₂³	1	1	yes	characteristic
221	C₂×#685	C₂³	1	1	yes	characteristic
222	C₂×#685	C₂³	1	1	yes	characteristic
223	C₂×#685	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×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
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×#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×#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×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	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	#4038	—	2	4	no	—
281	#4038	—	2	4	no	—
282	#4033	—	2	4	no	—
283	#4033	—	2	4	no	—
284	#4033	—	2	4	no	—
285	C₄²×D₅	Q₈	1	8	yes	complemented
286	C₅×#95	C₂³	1	1	yes	characteristic
287	C₅×#95	C₂³	1	1	yes	characteristic
288	C₅×#95	C₂³	1	1	yes	characteristic
289	C₅×#95	C₂³	1	1	yes	characteristic
290	C₅×#95	C₂³	1	1	yes	characteristic
291	C₅×#95	C₂³	1	1	yes	characteristic
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	C₅×#95	C₂³	1	1	yes	characteristic
303	C₅×#95	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	#2667	—	5	1	no	—
351	#2667	—	5	1	no	—
352	#2667	—	5	1	no	—
353	#2667	—	5	1	no	—
354	#2666	—	5	1	no	—
355	#2666	—	5	1	no	—
356	#2666	—	5	1	no	—
357	#2666	—	5	1	no	—
358	#2666	—	5	1	no	—
359	#2666	—	5	1	no	—
360	#2666	—	5	1	no	—
361	#2666	D₅	1	1	yes	characteristic, complemented
362	#2665	—	5	1	no	—
363	#2665	—	5	1	no	—
364	#2665	—	5	1	no	—
365	#2665	—	5	1	no	—
366	#2402	—	5	1	no	—
367	#2402	—	5	1	no	—
368	#2399	—	5	1	no	—
369	#2399	—	5	1	no	—
370	#2396	—	5	1	no	—
371	#2396	—	5	1	no	—
372	#2396	—	5	1	no	—
373	#2396	—	5	1	no	—
374	#2295	—	5	1	no	—
375	#2295	—	5	1	no	—
376	#2295	—	5	1	no	—
377	#2295	—	5	1	no	—
378	#2283	—	5	1	no	—
379	#2283	—	5	1	no	—
380	C₄×#117	—	5	1	no	—
381	C₂³×D₅	C₂⁴	1	1	yes	characteristic
382	C₂×C₅×Q₈	—	2	2	no	—
383	C₂×C₅×Q₈	—	4	1	no	—
384	C₂×C₅×Q₈	—	4	1	no	—
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×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₅	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	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
415	C₂×C₄×D₅	—	2	2	no	—
416	C₂×C₄×D₅	—	2	2	no	—
417	C₂×C₄×D₅	—	4	1	no	—
418	C₂×C₄×D₅	—	4	1	no	—
419	C₂×C₄×D₅	—	4	1	no	—
420	C₂×C₄×D₅	—	4	1	no	—
421	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
422	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
423	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
424	C₂×Dic₁₀	—	2	2	no	—
425	C₂×Dic₁₀	—	2	2	no	—
426	C₂×Dic₁₀	—	2	2	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	C₂×Dic₁₀	—	4	1	no	—
433	C₅×C₄⋊C₄	—	2	2	no	—
434	C₅×C₄⋊C₄	—	2	2	no	—
435	C₅×C₄⋊C₄	—	2	2	no	—
436	C₅×C₄⋊C₄	—	2	2	no	—
437	C₅×C₄⋊C₄	—	2	2	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×C₄⋊C₄	—	4	1	no	—
444	C₅×C₄⋊C₄	—	4	1	no	—
445	C₅×C₄⋊C₄	—	4	1	no	—
446	C₄²×C₅	—	4	1	no	—
447	C₄²×C₅	—	4	1	no	—
448	C₄²×C₅	C₂×Q₈	1	4	yes	—
449	#685	—	2	2	no	—
450	#685	—	2	2	no	—
451	#685	—	2	2	no	—
452	#685	—	2	2	no	—
453	#685	—	4	1	no	—
454	#685	—	4	1	no	—
455	#685	—	4	1	no	—
456	#685	—	4	1	no	—
457	#685	—	4	1	no	—
458	#685	—	4	1	no	—
459	#685	—	4	1	no	—
460	#685	—	4	1	no	—
461	C₄⋊Dic₅	—	2	2	no	—
462	C₄⋊Dic₅	—	2	2	no	—
463	C₄⋊Dic₅	—	2	2	no	—
464	C₄⋊Dic₅	—	2	2	no	—
465	C₄⋊Dic₅	—	2	2	no	—
466	C₄⋊Dic₅	—	4	1	no	—
467	C₄⋊Dic₅	—	4	1	no	—
468	C₄⋊Dic₅	—	4	1	no	—
469	C₄⋊Dic₅	—	4	1	no	—
470	C₄⋊Dic₅	—	4	1	no	—
471	C₄⋊Dic₅	—	4	1	no	—
472	C₄⋊Dic₅	—	4	1	no	—
473	C₄⋊Dic₅	—	4	1	no	—
474	#683	—	2	2	no	—
475	#683	—	2	2	no	—
476	#683	—	2	2	no	—
477	#683	—	2	2	no	—
478	#683	—	2	2	no	—
479	#683	—	2	2	no	—
480	#683	—	4	1	no	—
481	#683	—	4	1	no	—
482	#683	—	4	1	no	—
483	#683	—	4	1	no	—
484	#683	—	4	1	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	C₄×Dic₅	—	2	2	no	—
497	C₄×Dic₅	—	2	2	no	—
498	C₄×Dic₅	—	2	2	no	—
499	C₄×Dic₅	—	2	2	no	—
500	C₄×Dic₅	—	2	2	no	—
501	C₄×Dic₅	—	2	2	no	—
502	C₄×Dic₅	—	2	2	no	—
503	C₄×Dic₅	—	2	2	no	—
504	C₄×Dic₅	—	2	2	no	—
505	C₄×Dic₅	—	2	2	no	—
506	C₄×Dic₅	—	4	1	no	—
507	C₄×Dic₅	—	4	1	no	—
508	C₄×Dic₅	—	4	1	no	—
509	C₄×Dic₅	—	4	1	no	—
510	C₄×Dic₅	—	4	1	no	—
511	C₄×Dic₅	—	4	1	no	—
512	C₄×Dic₅	C₂×Q₈	1	4	yes	—
513	C₄×Dic₅	C₂×Q₈	1	4	yes	—
514	C₄×Dic₅	C₂×Q₈	1	4	yes	—
515	C₄×Dic₅	#41	1	4	yes	—
516	C₄×Dic₅	#41	1	4	yes	—
517	C₂×C₄×Q₈	—	5	1	no	—
518	C₂×C₄×Q₈	—	5	1	no	—
519	C₂×C₄×Q₈	—	5	1	no	—
520	C₂×C₄×Q₈	—	5	1	no	—
521	C₂×#117	—	5	1	no	—
522	C₂×#117	—	5	1	no	—
523	C₂²×C₄²	—	5	1	no	—
524	#400	—	5	1	no	—
525	#400	—	5	1	no	—
526	#400	—	5	1	no	—
527	#400	—	5	1	no	—
528	#400	—	5	1	no	—
529	#400	—	5	1	no	—
530	#400	—	5	1	no	—
531	#400	—	5	1	no	—
532	#400	—	5	1	no	—
533	#400	—	5	1	no	—
534	#400	C₂×D₅	1	1	yes	characteristic
535	#400	C₂×D₅	1	1	yes	characteristic
536	#399	—	5	1	no	—
537	#399	—	5	1	no	—
538	#399	—	5	1	no	—
539	#399	—	5	1	no	—
540	#398	—	5	1	no	—
541	#398	—	5	1	no	—
542	#398	—	5	1	no	—
543	#398	—	5	1	no	—
544	#398	—	5	1	no	—
545	#398	—	5	1	no	—
546	#398	—	5	1	no	—
547	#398	—	5	1	no	—
548	#398	—	5	1	no	—
549	#398	—	5	1	no	—
550	#398	—	5	1	no	—
551	#398	—	5	1	no	—
552	#398	—	5	1	no	—
553	#398	—	5	1	no	—
554	#398	—	5	1	no	—
555	#398	—	5	1	no	—
556	#398	—	5	1	no	—
557	#398	—	5	1	no	—
558	#398	—	5	1	no	—
559	#398	—	5	1	no	—
560	#398	C₂×D₅	1	1	yes	characteristic
561	#398	C₂×D₅	1	1	yes	characteristic
562	#398	C₂×D₅	1	1	yes	characteristic
563	#398	C₂×D₅	1	1	yes	characteristic
564	#396	—	5	1	no	—
565	#396	—	5	1	no	—
566	#396	—	5	1	no	—
567	#396	—	5	1	no	—
568	#396	—	5	1	no	—
569	#396	—	5	1	no	—
570	#396	—	5	1	no	—
571	#396	—	5	1	no	—
572	#395	—	5	1	no	—
573	#395	—	5	1	no	—
574	#395	—	5	1	no	—
575	#395	—	5	1	no	—
576	#395	—	5	1	no	—
577	#395	—	5	1	no	—
578	#395	—	5	1	no	—
579	#395	—	5	1	no	—
580	#395	—	5	1	no	—
581	#395	—	5	1	no	—
582	#395	C₂×D₅	1	1	yes	characteristic
583	#395	C₂×D₅	1	1	yes	characteristic
584	#393	—	5	1	no	—
585	#393	—	5	1	no	—
586	#393	—	5	1	no	—
587	#393	—	5	1	no	—
588	#391	—	5	1	no	—
589	#391	—	5	1	no	—
590	#391	—	5	1	no	—
591	#391	—	5	1	no	—
592	#391	—	5	1	no	—
593	#391	—	5	1	no	—
594	#391	—	5	1	no	—
595	#391	C₂×D₅	1	1	yes	characteristic
596	#389	—	5	1	no	—
597	#389	—	5	1	no	—
598	#389	—	5	1	no	—
599	#389	—	5	1	no	—
600	#389	—	5	1	no	—
601	#389	—	5	1	no	—
602	#389	—	5	1	no	—
603	#389	C₂×D₅	1	1	yes	characteristic
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	C₂×D₅	1	1	yes	characteristic
619	#387	C₂×D₅	1	1	yes	characteristic
620	#383	—	5	1	no	—
621	#383	—	5	1	no	—
622	#383	—	5	1	no	—
623	#383	C₂×D₅	1	1	yes	characteristic
624	#382	—	5	1	no	—
625	#382	—	5	1	no	—
626	#382	—	5	1	no	—
627	#382	C₂×D₅	1	1	yes	characteristic
628	#381	—	5	1	no	—
629	#381	—	5	1	no	—
630	#381	—	5	1	no	—
631	#381	—	5	1	no	—
632	#380	—	5	1	no	—
633	#380	—	5	1	no	—
634	#380	—	5	1	no	—
635	#380	—	5	1	no	—
636	C₄×C₄⋊C₄	—	5	1	no	—
637	C₄×C₄⋊C₄	—	5	1	no	—
638	C₄×C₄⋊C₄	—	5	1	no	—
639	C₄×C₄⋊C₄	—	5	1	no	—
640	C₄×C₄⋊C₄	—	5	1	no	—
641	C₄×C₄⋊C₄	—	5	1	no	—
642	C₄×C₄⋊C₄	—	5	1	no	—
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	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	C₂×D₅	1	1	yes	characteristic
656	C₄×C₂²⋊C₄	—	5	1	no	—
657	C₄×C₂²⋊C₄	—	5	1	no	—
658	C₄×C₂²⋊C₄	—	5	1	no	—
659	C₄×C₂²⋊C₄	—	5	1	no	—
660	C₄×C₂²⋊C₄	—	5	1	no	—
661	C₄×C₂²⋊C₄	—	5	1	no	—
662	C₄×C₂²⋊C₄	—	5	1	no	—
663	C₄×C₂²⋊C₄	—	5	1	no	—
664	#376	—	5	1	no	—
665	#376	—	5	1	no	—
666	#376	—	5	1	no	—
667	#376	—	5	1	no	—
668	#376	—	5	1	no	—
669	#376	—	5	1	no	—
670	C₄³	—	5	1	no	—
671	C₄³	—	5	1	no	—
672	C₂³×C₅	C₂⁵	1	1	yes	characteristic
673	C₂²×D₅	—	2	1	no	—
674	C₂²×D₅	—	2	1	no	—
675	C₂²×D₅	—	2	1	no	—
676	C₂²×D₅	—	2	1	no	—
677	C₂²×D₅	—	2	1	no	—
678	C₂²×D₅	—	2	1	no	—
679	C₂²×D₅	C₂²×Q₈	1	2	yes	—
680	C₅×Q₈	—	4	4	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	—	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	C₂²×Q₈	1	2	yes	—
722	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
723	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
724	C₂×C₄×C₅	C₂×#41	1	2	yes	—
725	C₂×C₄×C₅	C₂×#41	1	2	yes	—
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	—	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	C₂²×Q₈	1	2	yes	—
765	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
766	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
767	C₂×Dic₅	C₂×#41	1	2	yes	—
768	C₂×Dic₅	C₂×#41	1	2	yes	—
769	C₂×Dic₅	C₂×#41	1	2	yes	—
770	C₂×Dic₅	C₂×#41	1	2	yes	—
771	C₄×D₅	—	2	8	no	—
772	C₄×D₅	—	4	4	no	—
773	C₄×D₅	—	4	4	no	—
774	Dic₁₀	—	4	4	no	—
775	Dic₁₀	—	4	4	no	—
776	Dic₁₀	—	4	4	no	—
777	C₂²×Q₈	—	5	1	no	—
778	C₂²×Q₈	—	5	1	no	—
779	C₂²×Q₈	—	5	1	no	—
780	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
781	C₂³×C₄	—	5	1	no	—
782	C₂³×C₄	—	5	1	no	—
783	C₂³×C₄	—	5	1	no	—
784	C₄×Q₈	—	10	4	no	—
785	C₄×Q₈	—	10	4	no	—
786	C₄×Q₈	—	10	4	no	—
787	C₄×Q₈	—	10	4	no	—
788	#117	—	10	4	no	—
789	#117	—	10	4	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	—	5	1	no	—
796	C₂×C₄⋊C₄	—	5	1	no	—
797	C₂×C₄⋊C₄	—	5	1	no	—
798	C₂×C₄⋊C₄	—	5	1	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	C₂²×D₅	1	1	yes	characteristic
826	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
828	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
829	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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×C₂²⋊C₄	—	5	1	no	—
839	C₂×C₂²⋊C₄	—	5	1	no	—
840	C₂×C₂²⋊C₄	—	5	1	no	—
841	C₂×C₂²⋊C₄	—	5	1	no	—
842	C₂×C₂²⋊C₄	—	5	1	no	—
843	C₂×C₂²⋊C₄	—	5	1	no	—
844	C₂×C₂²⋊C₄	—	5	1	no	—
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×C₄²	—	5	1	no	—
851	C₂×C₄²	—	5	1	no	—
852	C₂×C₄²	—	5	1	no	—
853	C₂×C₄²	—	5	1	no	—
854	C₂×C₄²	—	5	1	no	—
855	C₂×C₄²	—	5	8	no	—
856	C₂×C₄²	—	5	1	no	—
857	C₂×C₄²	—	5	1	no	—
858	C₂×C₄²	—	5	1	no	—
859	C₂×C₄²	—	5	1	no	—
860	C₂×C₄²	—	5	1	no	—
861	C₂×C₄²	—	5	1	no	—
862	C₂×C₄²	—	5	1	no	—
863	C₂×C₄²	—	5	1	no	—
864	C₂×C₄²	—	5	1	no	—
865	C₂×C₄²	—	5	1	no	—
866	C₂×C₄²	—	5	1	no	—
867	C₂×C₄²	—	5	1	no	—
868	C₂×C₄²	—	5	1	no	—
869	C₂×C₄²	—	5	1	no	—
870	C₂×C₄²	—	5	1	no	—
871	C₂×C₄²	—	5	1	no	—
872	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
873	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
874	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
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	—	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	C₂²×D₅	1	1	yes	characteristic
922	#95	C₂²×D₅	1	1	yes	characteristic
923	#95	C₂²×D₅	1	1	yes	characteristic
924	#95	C₂²×D₅	1	1	yes	characteristic
925	#95	C₂²×D₅	1	1	yes	characteristic
926	#95	C₂²×D₅	1	1	yes	characteristic
927	#95	C₂²×D₅	1	1	yes	characteristic
928	#95	C₂²×D₅	1	1	yes	characteristic
929	#95	C₂²×D₅	1	1	yes	characteristic
930	#95	C₂²×D₅	1	1	yes	characteristic
931	#95	C₂²×D₅	1	1	yes	characteristic
932	#95	C₂²×D₅	1	1	yes	characteristic
933	#95	C₂²×D₅	1	1	yes	characteristic
934	#95	C₂²×D₅	1	1	yes	characteristic
935	#95	C₂²×D₅	1	1	yes	characteristic
936	#95	C₂²×D₅	1	1	yes	characteristic
937	#95	C₂²×D₅	1	1	yes	characteristic
938	#95	C₂²×D₅	1	1	yes	characteristic
939	C₂²×C₅	C₂³×Q₈	1	1	yes	characteristic
940	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
941	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
942	C₂²×C₅	#585	1	1	yes	characteristic
943	C₂²×C₅	#585	1	1	yes	characteristic
944	C₂²×C₅	#585	1	1	yes	characteristic
945	C₂²×C₅	#585	1	1	yes	characteristic
946	C₂×D₅	—	2	2	no	—
947	C₂×D₅	—	2	2	no	—
948	C₂×D₅	—	2	2	no	—
949	C₂×D₅	—	4	1	no	—
950	C₂×D₅	—	4	1	no	—
951	C₂×D₅	—	4	1	no	—
952	C₂×D₅	—	4	1	no	—
953	C₄×C₅	—	2	2	no	—
954	C₄×C₅	—	2	2	no	—
955	C₄×C₅	—	2	2	no	—
956	C₄×C₅	—	2	2	no	—
957	C₄×C₅	—	2	2	no	—
958	C₄×C₅	—	4	1	no	—
959	C₄×C₅	—	4	1	no	—
960	C₄×C₅	—	4	1	no	—
961	C₄×C₅	—	4	1	no	—
962	C₄×C₅	—	4	1	no	—
963	C₄×C₅	—	4	1	no	—
964	C₄×C₅	—	4	1	no	—
965	C₄×C₅	—	4	1	no	—
966	C₄×C₅	—	4	1	no	—
967	C₄×C₅	—	4	1	no	—
968	Dic₅	—	2	2	no	—
969	Dic₅	—	2	2	no	—
970	Dic₅	—	2	2	no	—
971	Dic₅	—	2	2	no	—
972	Dic₅	—	4	1	no	—
973	Dic₅	—	4	1	no	—
974	Dic₅	—	4	1	no	—
975	Dic₅	—	4	1	no	—
976	Dic₅	—	4	1	no	—
977	Dic₅	—	4	1	no	—
978	Dic₅	—	4	1	no	—
979	Dic₅	—	4	1	no	—
980	Dic₅	—	4	1	no	—
981	Dic₅	—	4	1	no	—
982	Dic₅	#533	1	4	yes	—
983	C₂⁴	—	5	1	no	—
984	C₂×Q₈	—	2	2	no	—
985	C₂×Q₈	—	4	1	no	—
986	C₂×Q₈	—	4	1	no	—
987	C₂×Q₈	—	10	2	no	—
988	C₂×Q₈	—	10	2	no	—
989	C₂×Q₈	—	10	2	no	—
990	C₂×Q₈	—	20	1	no	—
991	C₂×Q₈	—	20	1	no	—
992	C₂×Q₈	—	20	1	no	—
993	C₂×Q₈	—	20	1	no	—
994	C₂×Q₈	—	20	1	no	—
995	C₂×Q₈	—	20	1	no	—
996	C₂²×C₄	—	5	1	no	—
997	C₂²×C₄	—	5	1	no	—
998	C₂²×C₄	—	5	1	no	—
999	C₂²×C₄	—	5	1	no	—
1000	C₂²×C₄	—	5	1	no	—
1001	C₂²×C₄	—	5	4	no	—
1002	C₂²×C₄	—	5	4	no	—
1003	C₂²×C₄	—	5	4	no	—
1004	C₂²×C₄	—	5	1	no	—
1005	C₂²×C₄	—	5	1	no	—
1006	C₂²×C₄	—	5	1	no	—
1007	C₂²×C₄	—	5	1	no	—
1008	C₂²×C₄	—	5	1	no	—
1009	C₂²×C₄	—	5	1	no	—
1010	C₂²×C₄	—	5	1	no	—
1011	C₂²×C₄	—	5	1	no	—
1012	C₂²×C₄	—	5	1	no	—
1013	C₂²×C₄	—	5	1	no	—
1014	C₂²×C₄	—	10	2	no	—
1015	C₂²×C₄	—	10	2	no	—
1016	C₂²×C₄	—	20	1	no	—
1017	C₂²×C₄	—	20	1	no	—
1018	C₂²×C₄	—	20	1	no	—
1019	C₂²×C₄	—	20	1	no	—
1020	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1021	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1022	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1023	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1024	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1027	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1028	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1029	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1030	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1031	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1032	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1033	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1034	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1035	C₄⋊C₄	—	2	2	no	—
1036	C₄⋊C₄	—	2	2	no	—
1037	C₄⋊C₄	—	2	2	no	—
1038	C₄⋊C₄	—	2	2	no	—
1039	C₄⋊C₄	—	2	2	no	—
1040	C₄⋊C₄	—	4	1	no	—
1041	C₄⋊C₄	—	4	1	no	—
1042	C₄⋊C₄	—	4	1	no	—
1043	C₄⋊C₄	—	4	1	no	—
1044	C₄⋊C₄	—	4	1	no	—
1045	C₄⋊C₄	—	4	1	no	—
1046	C₄⋊C₄	—	4	1	no	—
1047	C₄⋊C₄	—	4	1	no	—
1048	C₄⋊C₄	—	10	2	no	—
1049	C₄⋊C₄	—	10	2	no	—
1050	C₄⋊C₄	—	10	2	no	—
1051	C₄⋊C₄	—	10	2	no	—
1052	C₄⋊C₄	—	10	2	no	—
1053	C₄⋊C₄	—	10	2	no	—
1054	C₄⋊C₄	—	10	2	no	—
1055	C₄⋊C₄	—	10	2	no	—
1056	C₄⋊C₄	—	10	2	no	—
1057	C₄⋊C₄	—	10	2	no	—
1058	C₄⋊C₄	—	10	2	no	—
1059	C₄⋊C₄	—	20	1	no	—
1060	C₄⋊C₄	—	20	1	no	—
1061	C₄⋊C₄	—	20	1	no	—
1062	C₄⋊C₄	—	20	1	no	—
1063	C₄⋊C₄	—	20	1	no	—
1064	C₄⋊C₄	—	20	1	no	—
1065	C₄⋊C₄	—	20	1	no	—
1066	C₄⋊C₄	—	20	1	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	C₂²⋊C₄	—	10	2	no	—
1084	C₂²⋊C₄	—	10	2	no	—
1085	C₂²⋊C₄	—	10	2	no	—
1086	C₂²⋊C₄	—	10	2	no	—
1087	C₂²⋊C₄	—	20	1	no	—
1088	C₂²⋊C₄	—	20	1	no	—
1089	C₂²⋊C₄	—	20	1	no	—
1090	C₂²⋊C₄	—	20	1	no	—
1091	C₂²⋊C₄	—	20	1	no	—
1092	C₂²⋊C₄	—	20	1	no	—
1093	C₂²⋊C₄	—	20	1	no	—
1094	C₂²⋊C₄	—	20	1	no	—
1095	C₄²	—	4	1	no	—
1096	C₄²	—	4	1	no	—
1097	C₄²	—	5	4	no	—
1098	C₄²	—	5	4	no	—
1099	C₄²	—	5	4	no	—
1100	C₄²	—	5	4	no	—
1101	C₄²	—	5	4	no	—
1102	C₄²	—	10	2	no	—
1103	C₄²	—	10	2	no	—
1104	C₄²	—	10	2	no	—
1105	C₄²	—	10	2	no	—
1106	C₄²	—	10	2	no	—
1107	C₄²	—	10	2	no	—
1108	C₄²	—	10	2	no	—
1109	C₄²	—	10	2	no	—
1110	C₄²	—	10	2	no	—
1111	C₄²	—	10	2	no	—
1112	C₄²	—	20	1	no	—
1113	C₄²	—	20	1	no	—
1114	C₄²	—	20	1	no	—
1115	C₄²	—	20	1	no	—
1116	C₄²	—	20	1	no	—
1117	C₄²	—	20	1	no	—
1118	C₄²	Q₈×D₅	1	4	yes	—
1119	C₂×C₅	C₂×#533	1	1	yes	characteristic
1120	C₂×C₅	#3455	1	1	yes	characteristic
1121	C₂×C₅	#3455	1	1	yes	characteristic
1122	C₂×C₅	#3455	1	1	yes	characteristic
1123	C₂×C₅	#3455	1	1	yes	characteristic
1124	C₂×C₅	#3458	1	1	yes	characteristic
1125	C₂×C₅	#3458	1	1	yes	characteristic
1126	D₅	—	4	2	no	—
1127	C₂³	—	5	2	no	—
1128	C₂³	—	10	1	no	—
1129	C₂³	—	10	1	no	—
1130	C₂³	—	10	1	no	—
1131	C₂³	—	10	1	no	—
1132	C₂³	—	10	1	no	—
1133	C₂³	—	10	1	no	—
1134	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1135	Q₈	—	4	4	no	—
1136	Q₈	—	20	4	no	—
1137	Q₈	—	20	4	no	—
1138	Q₈	—	20	4	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	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	—	5	2	no	—
1180	C₂×C₄	—	5	2	no	—
1181	C₂×C₄	—	5	2	no	—
1182	C₂×C₄	—	5	2	no	—
1183	C₂×C₄	—	5	2	no	—
1184	C₂×C₄	—	5	2	no	—
1185	C₂×C₄	—	5	2	no	—
1186	C₂×C₄	—	10	8	no	—
1187	C₂×C₄	—	10	1	no	—
1188	C₂×C₄	—	10	1	no	—
1189	C₂×C₄	—	10	1	no	—
1190	C₂×C₄	—	10	1	no	—
1191	C₂×C₄	—	10	1	no	—
1192	C₂×C₄	—	10	1	no	—
1193	C₂×C₄	—	10	1	no	—
1194	C₂×C₄	—	10	1	no	—
1195	C₂×C₄	—	10	1	no	—
1196	C₂×C₄	—	10	1	no	—
1197	C₂×C₄	—	10	1	no	—
1198	C₂×C₄	—	10	1	no	—
1199	C₂×C₄	—	10	1	no	—
1200	C₂×C₄	—	10	1	no	—
1201	C₂×C₄	—	10	1	no	—
1202	C₂×C₄	—	10	1	no	—
1203	C₂×C₄	—	10	1	no	—
1204	C₂×C₄	—	10	1	no	—
1205	C₂×C₄	—	10	1	no	—
1206	C₂×C₄	—	10	1	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	—	20	4	no	—
1226	C₂×C₄	—	20	4	no	—
1227	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1228	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1229	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1230	C₂×C₄	D₅×#41	1	2	yes	—
1231	C₂×C₄	D₅×#41	1	2	yes	—
1232	C₅	#34644	1	1	yes	characteristic, complemented, Sylow
1233	C₂²	—	10	2	no	—
1234	C₂²	—	10	2	no	—
1235	C₂²	—	10	2	no	—
1236	C₂²	—	20	1	no	—
1237	C₂²	—	20	1	no	—
1238	C₂²	—	20	1	no	—
1239	C₂²	—	20	1	no	—
1240	C₂²	C₂²×Q₈×D₅	1	1	yes	characteristic
1241	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1242	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1243	C₂²	#66285	1	1	yes	characteristic
1244	C₂²	#66285	1	1	yes	characteristic
1245	C₂²	#66287	1	1	yes	characteristic
1246	C₂²	#66287	1	1	yes	characteristic
1247	C₄	—	2	2	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	2	2	no	—
1250	C₄	—	2	2	no	—
1251	C₄	—	2	2	no	—
1252	C₄	—	4	1	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	5	4	no	—
1263	C₄	—	10	2	no	—
1264	C₄	—	10	2	no	—
1265	C₄	—	10	2	no	—
1266	C₄	—	10	2	no	—
1267	C₄	—	20	1	no	—
1268	C₄	—	20	1	no	—
1269	C₄	—	20	1	no	—
1270	C₄	—	20	1	no	—
1271	C₄	—	20	1	no	—
1272	C₄	—	20	1	no	—
1273	C₄	—	20	1	no	—
1274	C₄	—	20	1	no	—
1275	C₄	—	20	1	no	—
1276	C₄	—	20	1	no	—
1277	C₂	—	20	2	no	—
1278	C₂	D₅×#533	1	1	yes	characteristic
1279	C₂	#10618288	1	1	yes	characteristic
1280	C₂	#10618328	1	1	yes	characteristic
1281	C₂	#10618396	1	1	yes	characteristic
1282	C₂	#10618424	1	1	yes	characteristic
1283	C₂	#10618482	1	1	yes	characteristic
1284	C₂	#10618482	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2666	C₂
prime radical	C₂³×D₅	C₂⁴
hypercenter	#2666	D₅
hypocenter	C₅	#34644
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2666

Complements

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

N	H ≅ G/N	type
1. C₅×#2666	C₂	semidirect
2. #10609966	C₂	semidirect
4. #10609864	C₂	semidirect
8. #10609575	C₂	semidirect
9. #10609573	C₂	semidirect
10. #10609472	C₂	semidirect
11. #10609471	C₂	semidirect
14. #10608943	C₂	semidirect
16. #10608902	C₂	semidirect
19. #10608208	C₂	semidirect
21. #10607693	C₂	semidirect
24. #10606669	C₂	semidirect
25. #10606669	C₂	semidirect
26. #10606010	C₂	semidirect
28. #10605928	C₂	semidirect
30. #10605479	C₂	semidirect
285. C₄²×D₅	Q₈	semidirect
361. #2666	D₅	semidirect
1232. C₅	#34644	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2666	2
#10609966	2
#10609965	2
#10609864	2
#10609861	2
#10609577	2
#10609576	2
#10609575	2
#10609573	2
#10609472	2
#10609471	2
#10609470	2
#10608943	2
#10608942	2
#10608902	2
#10608901	2
#10608376	2
#10608208	2
#10607987	2
#10607693	2
#10606879	2
#10606876	2
#10606669	2
#10606010	2
#10605989	2
#10605928	2
#10605878	2
#10605479	2
C₄×#4038	2
#34644	5