Subgroups — #12272613

Order 1280.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2419	C₂	1	1	yes	maximal, characteristic
2	#10614587	C₂	1	1	yes	maximal, characteristic
3	#10614567	C₂	1	1	yes	maximal, characteristic
4	#10614085	C₂	1	1	yes	maximal, characteristic
5	C₄×D₄×Dic₅	C₂	1	1	yes	maximal, characteristic
6	#10609959	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609887	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609566	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609480	C₂	1	1	yes	maximal, characteristic, complemented
10	#10609290	C₂	1	1	yes	maximal, characteristic, complemented
11	#10609288	C₂	1	1	yes	maximal, characteristic, complemented
12	#10609219	C₂	1	1	yes	maximal, characteristic, complemented
13	#10609195	C₂	1	1	yes	maximal, characteristic, complemented
14	#10607023	C₂	1	1	yes	maximal, characteristic, complemented
15	#10607022	C₂	1	1	yes	maximal, characteristic, complemented
16	#10606823	C₂	1	1	yes	maximal, characteristic, complemented
17	#10606822	C₂	1	1	yes	maximal, characteristic, complemented
18	#10606424	C₂	1	1	yes	maximal, characteristic
19	#10606395	C₂	1	1	yes	maximal, characteristic
20	#10606317	C₂	1	1	yes	maximal, characteristic, complemented
21	#10606210	C₂	1	1	yes	maximal, characteristic, complemented
22	#10606189	C₂	1	1	yes	maximal, characteristic, complemented
23	#10606112	C₂	1	1	yes	maximal, characteristic, complemented
24	#10605848	C₂	1	1	yes	maximal, characteristic, complemented
25	#10605816	C₂	1	1	yes	maximal, characteristic, complemented
26	#10605810	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605785	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605633	C₂	1	1	yes	maximal, characteristic, complemented
29	#10605598	C₂	1	1	yes	maximal, characteristic, complemented
30	#10605084	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#64936	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×#123	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
34	C₂×#4081	C₂²	1	1	yes	characteristic
35	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
36	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
37	C₂²×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
38	C₂²×#683	C₂²	1	1	yes	characteristic
39	C₂²×#683	C₂²	1	1	yes	characteristic
40	C₂²×#683	C₂²	1	1	yes	characteristic
41	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic
42	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic
43	C₂×#4035	C₂²	1	1	yes	characteristic
44	C₂×#4033	C₂²	1	1	yes	characteristic
45	C₂×#4024	C₂²	1	1	yes	characteristic
46	C₂×#4024	C₂²	1	1	yes	characteristic
47	C₅×#400	C₂²	1	1	yes	characteristic
48	C₅×#398	C₂²	1	1	yes	characteristic
49	C₅×#397	C₂²	1	1	yes	characteristic
50	C₅×#397	C₂²	1	1	yes	characteristic
51	C₅×#387	C₂²	1	1	yes	characteristic
52	C₅×#387	C₂²	1	1	yes	characteristic
53	C₅×#386	C₂²	1	1	yes	characteristic
54	C₅×#385	C₂²	1	1	yes	characteristic
55	C₅×#385	C₂²	1	1	yes	characteristic
56	C₅×#381	C₂²	1	1	yes	characteristic
57	C₅×#381	C₂²	1	1	yes	characteristic
58	C₅×#380	C₂²	1	1	yes	characteristic
59	C₂×C₅×#95	C₂²	1	1	yes	characteristic
60	#65509	C₂²	1	1	yes	characteristic
61	#65501	C₂²	1	1	yes	characteristic
62	#65500	C₂²	1	1	yes	characteristic
63	#65500	C₂²	1	1	yes	characteristic
64	#65500	C₂²	1	1	yes	characteristic
65	#65499	C₂²	1	1	yes	characteristic
66	#65499	C₂²	1	1	yes	characteristic
67	#65499	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
69	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
70	C₂×#3963	C₂²	1	1	yes	characteristic
71	#65275	C₂²	1	1	yes	characteristic
72	#65274	C₂²	1	1	yes	characteristic
73	#65274	C₂²	1	1	yes	characteristic
74	#65273	C₂²	1	1	yes	characteristic
75	#65273	C₂²	1	1	yes	characteristic
76	#65272	C₂²	1	1	yes	characteristic
77	#65271	C₂²	1	1	yes	characteristic
78	#65271	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	#65270	C₂²	1	1	yes	characteristic
83	#65269	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	#65267	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	#65261	C₂²	1	1	yes	characteristic
94	#65261	C₂²	1	1	yes	characteristic
95	#65261	C₂²	1	1	yes	characteristic
96	#65261	C₂²	1	1	yes	characteristic
97	#65241	C₂²	1	1	yes	characteristic
98	#65241	C₂²	1	1	yes	characteristic
99	#65241	C₂²	1	1	yes	characteristic
100	#65241	C₂²	1	1	yes	characteristic
101	#65240	C₂²	1	1	yes	characteristic
102	#65240	C₂²	1	1	yes	characteristic
103	#65239	C₂²	1	1	yes	characteristic
104	#65239	C₂²	1	1	yes	characteristic
105	#65239	C₂²	1	1	yes	characteristic
106	#65237	C₂²	1	1	yes	characteristic
107	#65237	C₂²	1	1	yes	characteristic
108	#65235	C₂²	1	1	yes	characteristic
109	#65235	C₂²	1	1	yes	characteristic
110	#65233	C₂²	1	1	yes	characteristic
111	#65233	C₂²	1	1	yes	characteristic
112	#65232	C₂²	1	1	yes	characteristic
113	#65232	C₂²	1	1	yes	characteristic
114	#65232	C₂²	1	1	yes	characteristic
115	#65231	C₂²	1	1	yes	characteristic
116	#65231	C₂²	1	1	yes	characteristic
117	#65231	C₂²	1	1	yes	characteristic
118	#65231	C₂²	1	1	yes	characteristic
119	#65231	C₂²	1	1	yes	characteristic
120	#65231	C₂²	1	1	yes	characteristic
121	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
122	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
123	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
124	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
125	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
126	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
127	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
128	#65222	C₂²	1	1	yes	characteristic
129	#65222	C₂²	1	1	yes	characteristic
130	C₄²×Dic₅	C₂²	1	1	yes	characteristic
131	C₅⋊#401	C₂²	1	1	yes	characteristic
132	C₅⋊#401	C₂²	1	1	yes	characteristic
133	#64950	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	#64949	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	#64946	C₂²	1	1	yes	characteristic
144	#64946	C₂²	1	1	yes	characteristic
145	#64944	C₂²	1	1	yes	characteristic
146	#64944	C₂²	1	1	yes	characteristic
147	#64944	C₂²	1	1	yes	characteristic
148	#64944	C₂²	1	1	yes	characteristic
149	#64944	C₂²	1	1	yes	characteristic
150	#64943	C₂²	1	1	yes	characteristic
151	#64943	C₂²	1	1	yes	characteristic
152	#64943	C₂²	1	1	yes	characteristic
153	#64943	C₂²	1	1	yes	characteristic
154	#64943	C₂²	1	1	yes	characteristic
155	#64942	C₂²	1	1	yes	characteristic
156	#64942	C₂²	1	1	yes	characteristic
157	#64942	C₂²	1	1	yes	characteristic
158	#64942	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	#64941	C₂²	1	1	yes	characteristic
164	#64940	C₂²	1	1	yes	characteristic
165	#64940	C₂²	1	1	yes	characteristic
166	#64939	C₂²	1	1	yes	characteristic
167	#64939	C₂²	1	1	yes	characteristic
168	#64939	C₂²	1	1	yes	characteristic
169	#64938	C₂²	1	1	yes	characteristic
170	#64938	C₂²	1	1	yes	characteristic
171	#64936	C₂²	1	1	yes	characteristic
172	#64936	C₂²	1	1	yes	characteristic
173	#64936	C₂²	1	1	yes	characteristic
174	#64936	C₂²	1	1	yes	characteristic
175	#64936	C₂²	1	1	yes	characteristic
176	#64936	C₂²	1	1	yes	characteristic
177	#64936	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	#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	#35026	—	5	1	no	maximal, Sylow
188	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
193	C₂³×Dic₅	C₂³	1	1	yes	characteristic
194	C₂³×Dic₅	C₂³	1	1	yes	characteristic
195	C₂³×Dic₅	C₂³	1	1	yes	characteristic
196	C₂³×Dic₅	C₂³	1	1	yes	characteristic
197	C₂³×Dic₅	C₂³	1	1	yes	characteristic
198	C₂³×Dic₅	C₂³	1	1	yes	characteristic
199	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
200	C₅×#123	—	2	4	no	—
201	C₄×C₅×D₄	—	2	4	no	—
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×C₅×C₄⋊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	#4081	—	2	4	no	—
229	D₄×Dic₅	—	2	4	no	—
230	D₄×Dic₅	—	2	4	no	—
231	C₂×C₄⋊Dic₅	—	2	4	no	—
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×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×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
243	C₂×#683	—	2	4	no	—
244	C₂×#683	—	2	4	no	—
245	C₂×#683	—	4	2	no	—
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×#683	C₂³	1	1	yes	characteristic
269	C₂×#683	C₂³	1	1	yes	characteristic
270	C₂×#683	C₂³	1	1	yes	characteristic
271	C₂×#683	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₅	—	4	2	no	—
273	C₂×C₄×Dic₅	—	4	2	no	—
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	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
290	#4035	—	4	2	no	—
291	#4033	—	4	2	no	—
292	#4024	—	2	4	no	—
293	#4024	—	4	2	no	—
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	C₅×#95	C₂³	1	1	yes	characteristic
305	C₅×#95	C₂³	1	1	yes	characteristic
306	C₅×#95	C₂³	1	1	yes	characteristic
307	C₅×#95	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	#3963	C₂³	1	1	yes	characteristic
353	#3963	C₂³	1	1	yes	characteristic
354	#3963	C₂³	1	1	yes	characteristic
355	#3963	C₂³	1	1	yes	characteristic
356	#3963	C₂³	1	1	yes	characteristic
357	#3963	C₂³	1	1	yes	characteristic
358	#2864	—	5	1	no	—
359	#2863	—	5	1	no	—
360	#2855	—	5	1	no	—
361	#2851	—	5	1	no	—
362	#2655	—	5	1	no	—
363	#2655	—	5	1	no	—
364	#2652	—	5	1	no	—
365	#2652	—	5	1	no	—
366	#2585	—	5	1	no	—
367	#2585	—	5	1	no	—
368	#2573	—	5	1	no	—
369	#2573	—	5	1	no	—
370	#2509	—	5	1	no	—
371	#2503	—	5	1	no	—
372	#2494	—	5	1	no	—
373	#2493	—	5	1	no	—
374	#2493	—	5	1	no	—
375	#2486	—	5	1	no	—
376	#2453	—	5	1	no	—
377	#2442	—	5	1	no	—
378	#2421	—	5	1	no	—
379	#2419	—	5	1	no	—
380	#2419	D₅	1	1	yes	characteristic
381	#2417	—	5	1	no	—
382	#2322	—	5	1	no	—
383	#2322	—	5	1	no	—
384	#2313	—	5	1	no	—
385	#2313	—	5	1	no	—
386	C₄×C₂²⋊Q₈	—	5	1	no	—
387	C₂×#389	—	5	1	no	—
388	C₄²×D₄	—	5	1	no	—
389	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
390	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
391	C₂×C₅×D₄	—	2	2	no	—
392	C₂×C₅×D₄	—	2	2	no	—
393	C₂×C₅×D₄	#41	1	4	yes	—
394	C₂²×C₄×C₅	—	2	2	no	—
395	C₂²×C₄×C₅	—	2	2	no	—
396	C₂²×C₄×C₅	—	2	2	no	—
397	C₂²×C₄×C₅	—	2	2	no	—
398	C₂²×C₄×C₅	—	2	2	no	—
399	C₂²×C₄×C₅	—	2	2	no	—
400	C₂²×C₄×C₅	—	2	2	no	—
401	C₂²×C₄×C₅	—	2	2	no	—
402	C₂²×C₄×C₅	—	4	1	no	—
403	C₂²×C₄×C₅	—	4	1	no	—
404	C₂²×C₄×C₅	—	4	1	no	—
405	C₂²×C₄×C₅	—	4	1	no	—
406	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₅	—	2	2	no	—
420	C₂²×Dic₅	—	2	2	no	—
421	C₂²×Dic₅	—	2	2	no	—
422	C₂²×Dic₅	—	2	2	no	—
423	C₂²×Dic₅	—	2	2	no	—
424	C₂²×Dic₅	—	2	2	no	—
425	C₂²×Dic₅	—	2	2	no	—
426	C₂²×Dic₅	—	2	2	no	—
427	C₂²×Dic₅	—	2	2	no	—
428	C₂²×Dic₅	—	2	2	no	—
429	C₂²×Dic₅	—	4	1	no	—
430	C₂²×Dic₅	—	4	1	no	—
431	C₂²×Dic₅	—	4	1	no	—
432	C₂²×Dic₅	—	4	1	no	—
433	C₂²×Dic₅	—	4	1	no	—
434	C₂²×Dic₅	—	4	1	no	—
435	C₂²×Dic₅	#41	1	4	yes	—
436	C₂²×Dic₅	#41	1	4	yes	—
437	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
453	C₂×Dic₁₀	—	2	2	no	—
454	C₂×Dic₁₀	—	2	2	no	—
455	C₂×Dic₁₀	—	2	2	no	—
456	C₅×C₄⋊C₄	—	2	2	no	—
457	C₅×C₄⋊C₄	—	2	2	no	—
458	C₅×C₄⋊C₄	—	2	2	no	—
459	C₅×C₄⋊C₄	—	2	2	no	—
460	C₅×C₄⋊C₄	—	4	1	no	—
461	C₅×C₄⋊C₄	—	4	1	no	—
462	C₅×C₄⋊C₄	—	4	1	no	—
463	C₅×C₂²⋊C₄	—	2	2	no	—
464	C₅×C₂²⋊C₄	—	2	2	no	—
465	C₅×C₂²⋊C₄	—	2	2	no	—
466	C₅×C₂²⋊C₄	—	2	2	no	—
467	C₅×C₂²⋊C₄	—	2	2	no	—
468	C₅×C₂²⋊C₄	—	2	2	no	—
469	C₅×C₂²⋊C₄	—	4	1	no	—
470	C₅×C₂²⋊C₄	—	4	1	no	—
471	C₄²×C₅	—	2	2	no	—
472	C₂²⋊Dic₅	—	2	2	no	—
473	C₂²⋊Dic₅	—	2	2	no	—
474	C₂²⋊Dic₅	—	2	2	no	—
475	C₂²⋊Dic₅	—	2	2	no	—
476	C₂²⋊Dic₅	—	2	2	no	—
477	C₂²⋊Dic₅	—	2	2	no	—
478	C₂²⋊Dic₅	—	2	2	no	—
479	C₂²⋊Dic₅	—	2	2	no	—
480	C₂²⋊Dic₅	—	4	1	no	—
481	C₂²⋊Dic₅	—	4	1	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	—	2	2	no	—
487	C₄⋊Dic₅	—	2	2	no	—
488	C₄⋊Dic₅	—	2	2	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	#683	—	2	2	no	—
494	#683	—	2	2	no	—
495	#683	—	2	2	no	—
496	#683	—	2	2	no	—
497	#683	—	2	2	no	—
498	#683	—	2	2	no	—
499	#683	—	2	2	no	—
500	#683	—	2	2	no	—
501	#683	—	2	2	no	—
502	#683	—	2	2	no	—
503	#683	—	2	2	no	—
504	#683	—	2	2	no	—
505	#683	—	2	2	no	—
506	#683	—	2	2	no	—
507	#683	—	2	2	no	—
508	#683	—	2	2	no	—
509	#683	—	2	2	no	—
510	#683	—	4	1	no	—
511	#683	—	4	1	no	—
512	#683	—	4	1	no	—
513	#683	—	4	1	no	—
514	#683	—	4	1	no	—
515	#683	—	4	1	no	—
516	#683	—	4	1	no	—
517	#683	—	4	1	no	—
518	#683	—	4	1	no	—
519	C₄×Dic₅	—	2	2	no	—
520	C₄×Dic₅	—	2	2	no	—
521	C₄×Dic₅	—	2	2	no	—
522	C₄×Dic₅	—	2	2	no	—
523	C₄×Dic₅	—	2	2	no	—
524	C₄×Dic₅	—	2	2	no	—
525	C₄×Dic₅	—	2	2	no	—
526	C₄×Dic₅	—	4	1	no	—
527	C₄×Dic₅	—	4	1	no	—
528	C₄×Dic₅	—	4	1	no	—
529	C₄×Dic₅	—	4	1	no	—
530	C₄×Dic₅	—	4	1	no	—
531	C₄×Dic₅	—	4	1	no	—
532	C₄×Dic₅	—	4	1	no	—
533	C₄×Dic₅	—	4	1	no	—
534	C₄×Dic₅	—	4	1	no	—
535	C₂×#125	—	5	1	no	—
536	C₂×#123	—	5	1	no	—
537	C₂×#123	C₂×D₅	1	1	yes	characteristic
538	C₂×C₂²⋊Q₈	—	5	1	no	—
539	C₂×C₂²⋊Q₈	—	5	1	no	—
540	C₂×C₄×Q₈	—	5	1	no	—
541	C₂×C₄×D₄	—	5	1	no	—
542	C₂×C₄×D₄	—	5	1	no	—
543	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
544	C₂²×C₄⋊C₄	—	5	1	no	—
545	C₂²×C₄⋊C₄	—	5	1	no	—
546	C₂²×C₄⋊C₄	—	5	1	no	—
547	C₂²×C₄⋊C₄	—	5	1	no	—
548	C₂²×C₄²	—	5	1	no	—
549	C₂²×C₄²	—	5	1	no	—
550	#401	—	5	1	no	—
551	#401	—	5	1	no	—
552	#400	—	5	1	no	—
553	#400	—	5	1	no	—
554	#400	—	5	1	no	—
555	#400	—	5	1	no	—
556	#400	—	5	1	no	—
557	#400	—	5	1	no	—
558	#400	—	5	1	no	—
559	#400	—	5	1	no	—
560	#400	—	5	1	no	—
561	#400	—	5	1	no	—
562	#400	—	5	1	no	—
563	#400	—	5	1	no	—
564	#400	—	5	1	no	—
565	#400	C₂×D₅	1	1	yes	characteristic
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	C₂×D₅	1	1	yes	characteristic
574	#397	—	5	1	no	—
575	#397	—	5	1	no	—
576	#397	—	5	1	no	—
577	#397	—	5	1	no	—
578	#397	C₂×D₅	1	1	yes	characteristic
579	#397	C₂×D₅	1	1	yes	characteristic
580	#396	—	5	1	no	—
581	#396	—	5	1	no	—
582	#391	—	5	1	no	—
583	#391	—	5	1	no	—
584	#391	—	5	1	no	—
585	#391	—	5	1	no	—
586	#389	—	5	1	no	—
587	#389	—	5	1	no	—
588	#389	—	5	1	no	—
589	#389	—	5	1	no	—
590	#389	—	5	1	no	—
591	#389	—	5	1	no	—
592	#389	—	5	1	no	—
593	#389	—	5	1	no	—
594	#389	—	5	1	no	—
595	#389	—	5	1	no	—
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	—	5	1	no	—
604	#388	—	5	1	no	—
605	#388	—	5	1	no	—
606	#388	—	5	1	no	—
607	#388	—	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	—	5	1	no	—
628	#387	—	5	1	no	—
629	#387	—	5	1	no	—
630	#387	—	5	1	no	—
631	#387	—	5	1	no	—
632	#387	—	5	1	no	—
633	#387	—	5	1	no	—
634	#387	—	5	1	no	—
635	#387	—	5	1	no	—
636	#387	—	5	1	no	—
637	#387	—	5	1	no	—
638	#387	C₂×D₅	1	1	yes	characteristic
639	#387	C₂×D₅	1	1	yes	characteristic
640	#386	—	5	1	no	—
641	#386	C₂×D₅	1	1	yes	characteristic
642	#385	—	5	1	no	—
643	#385	—	5	1	no	—
644	#385	—	5	1	no	—
645	#385	—	5	1	no	—
646	#385	—	5	1	no	—
647	#385	—	5	1	no	—
648	#385	—	5	1	no	—
649	#385	—	5	1	no	—
650	#385	C₂×D₅	1	1	yes	characteristic
651	#385	C₂×D₅	1	1	yes	characteristic
652	#383	—	5	1	no	—
653	#383	—	5	1	no	—
654	#382	—	5	1	no	—
655	#382	—	5	1	no	—
656	#382	—	5	1	no	—
657	#381	—	5	1	no	—
658	#381	—	5	1	no	—
659	#381	—	5	1	no	—
660	#381	—	5	1	no	—
661	#381	—	5	1	no	—
662	#381	—	5	1	no	—
663	#381	C₂×D₅	1	1	yes	characteristic
664	#381	C₂×D₅	1	1	yes	characteristic
665	#380	—	5	1	no	—
666	#380	—	5	1	no	—
667	#380	—	5	1	no	—
668	#380	—	5	1	no	—
669	#380	—	5	1	no	—
670	#380	—	5	1	no	—
671	#380	—	5	1	no	—
672	#380	C₂×D₅	1	1	yes	characteristic
673	C₄×C₄⋊C₄	—	5	1	no	—
674	C₄×C₄⋊C₄	—	5	1	no	—
675	C₄×C₄⋊C₄	—	5	1	no	—
676	C₄×C₄⋊C₄	—	5	1	no	—
677	C₄×C₄⋊C₄	—	5	1	no	—
678	C₄×C₄⋊C₄	—	5	1	no	—
679	C₄×C₂²⋊C₄	—	5	1	no	—
680	C₄×C₂²⋊C₄	—	5	1	no	—
681	C₄×C₂²⋊C₄	—	5	1	no	—
682	C₄×C₂²⋊C₄	—	5	1	no	—
683	C₄×C₂²⋊C₄	—	5	1	no	—
684	C₄×C₂²⋊C₄	—	5	1	no	—
685	C₄×C₂²⋊C₄	—	5	1	no	—
686	C₄×C₂²⋊C₄	—	5	1	no	—
687	C₂×#95	—	5	1	no	—
688	C₂×#95	C₂×D₅	1	1	yes	characteristic
689	C₄³	—	5	1	no	—
690	C₂³×C₅	—	2	1	no	—
691	C₂³×C₅	—	2	1	no	—
692	C₂³×C₅	—	2	1	no	—
693	C₂³×C₅	—	2	1	no	—
694	C₂³×C₅	—	2	1	no	—
695	C₂³×C₅	—	2	1	no	—
696	C₂³×C₅	—	2	1	no	—
697	C₂³×C₅	—	2	1	no	—
698	C₂³×C₅	—	2	1	no	—
699	C₂³×C₅	—	2	1	no	—
700	C₂³×C₅	C₂×#41	1	2	yes	—
701	C₂³×C₅	C₂×#41	1	2	yes	—
702	C₂³×C₅	C₂×#41	1	2	yes	—
703	C₂³×C₅	C₂×#41	1	2	yes	—
704	C₂³×C₅	C₂⁵	1	1	yes	characteristic
705	C₅×D₄	—	2	8	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	—	2	1	no	—
731	C₂×C₄×C₅	—	2	1	no	—
732	C₂×C₄×C₅	—	2	1	no	—
733	C₂×C₄×C₅	—	2	1	no	—
734	C₂×C₄×C₅	—	2	1	no	—
735	C₂×C₄×C₅	—	2	1	no	—
736	C₂×C₄×C₅	—	2	1	no	—
737	C₂×C₄×C₅	—	2	1	no	—
738	C₂×C₄×C₅	—	2	1	no	—
739	C₂×C₄×C₅	—	2	1	no	—
740	C₂×C₄×C₅	—	2	1	no	—
741	C₂×C₄×C₅	—	2	1	no	—
742	C₂×C₄×C₅	—	2	1	no	—
743	C₂×C₄×C₅	—	4	4	no	—
744	C₂×C₄×C₅	—	4	4	no	—
745	C₂×C₄×C₅	—	4	4	no	—
746	C₂×C₄×C₅	—	8	2	no	—
747	C₂×C₄×C₅	C₂×#41	1	2	yes	—
748	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
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	8	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	—	2	1	no	—
775	C₂×Dic₅	—	2	1	no	—
776	C₂×Dic₅	—	2	1	no	—
777	C₂×Dic₅	—	2	1	no	—
778	C₂×Dic₅	—	2	1	no	—
779	C₂×Dic₅	—	2	1	no	—
780	C₂×Dic₅	—	2	1	no	—
781	C₂×Dic₅	—	2	1	no	—
782	C₂×Dic₅	—	2	1	no	—
783	C₂×Dic₅	—	2	1	no	—
784	C₂×Dic₅	—	2	1	no	—
785	C₂×Dic₅	—	2	1	no	—
786	C₂×Dic₅	—	2	1	no	—
787	C₂×Dic₅	—	2	1	no	—
788	C₂×Dic₅	—	2	1	no	—
789	C₂×Dic₅	—	2	1	no	—
790	C₂×Dic₅	—	2	1	no	—
791	C₂×Dic₅	—	2	1	no	—
792	C₂×Dic₅	—	4	4	no	—
793	C₂×Dic₅	—	4	4	no	—
794	C₂×Dic₅	—	4	4	no	—
795	C₂×Dic₅	—	4	4	no	—
796	C₂×Dic₅	—	8	2	no	—
797	C₂×Dic₅	C₂×#41	1	2	yes	—
798	C₂×Dic₅	C₂×#41	1	2	yes	—
799	C₂×Dic₅	C₂×#41	1	2	yes	—
800	C₂×Dic₅	C₂×#41	1	2	yes	—
801	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
802	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
803	Dic₁₀	—	4	4	no	—
804	C₂²×Q₈	—	5	1	no	—
805	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
806	C₂³×C₄	—	5	1	no	—
807	C₂³×C₄	—	5	1	no	—
808	C₂³×C₄	—	5	1	no	—
809	C₂³×C₄	—	5	1	no	—
810	C₂³×C₄	—	5	1	no	—
811	C₂³×C₄	—	5	1	no	—
812	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
813	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
814	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
815	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
816	#125	—	20	2	no	—
817	#123	—	2	4	no	—
818	#123	—	10	4	no	—
819	C₂²⋊Q₈	—	10	4	no	—
820	C₂²⋊Q₈	—	20	2	no	—
821	C₄×Q₈	—	20	2	no	—
822	C₄×D₄	—	2	4	no	—
823	C₄×D₄	—	10	4	no	—
824	C₄×D₄	—	10	4	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	—	5	1	no	—
835	C₂×C₄⋊C₄	—	5	1	no	—
836	C₂×C₄⋊C₄	—	5	1	no	—
837	C₂×C₄⋊C₄	—	5	1	no	—
838	C₂×C₄⋊C₄	—	5	1	no	—
839	C₂×C₄⋊C₄	—	5	1	no	—
840	C₂×C₄⋊C₄	—	5	1	no	—
841	C₂×C₄⋊C₄	—	5	1	no	—
842	C₂×C₄⋊C₄	—	5	1	no	—
843	C₂×C₄⋊C₄	—	5	1	no	—
844	C₂×C₄⋊C₄	—	5	1	no	—
845	C₂×C₄⋊C₄	—	5	1	no	—
846	C₂×C₄⋊C₄	—	5	1	no	—
847	C₂×C₄⋊C₄	—	5	1	no	—
848	C₂×C₄⋊C₄	—	5	1	no	—
849	C₂×C₄⋊C₄	—	5	1	no	—
850	C₂×C₄⋊C₄	—	5	1	no	—
851	C₂×C₄⋊C₄	—	5	1	no	—
852	C₂×C₄⋊C₄	—	5	1	no	—
853	C₂×C₄⋊C₄	—	5	1	no	—
854	C₂×C₄⋊C₄	—	5	1	no	—
855	C₂×C₄⋊C₄	—	5	1	no	—
856	C₂×C₄⋊C₄	—	5	1	no	—
857	C₂×C₄⋊C₄	—	5	1	no	—
858	C₂×C₄⋊C₄	—	5	1	no	—
859	C₂×C₄⋊C₄	—	5	1	no	—
860	C₂×C₄⋊C₄	—	5	1	no	—
861	C₂×C₄⋊C₄	—	5	1	no	—
862	C₂×C₄⋊C₄	—	10	4	no	—
863	C₂×C₄⋊C₄	—	10	4	no	—
864	C₂×C₄⋊C₄	—	10	4	no	—
865	C₂×C₄⋊C₄	—	20	2	no	—
866	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
868	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
869	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
872	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
873	C₂×C₂²⋊C₄	—	5	1	no	—
874	C₂×C₂²⋊C₄	—	5	1	no	—
875	C₂×C₂²⋊C₄	—	5	1	no	—
876	C₂×C₂²⋊C₄	—	5	1	no	—
877	C₂×C₂²⋊C₄	—	5	1	no	—
878	C₂×C₂²⋊C₄	—	5	1	no	—
879	C₂×C₂²⋊C₄	—	5	1	no	—
880	C₂×C₂²⋊C₄	—	5	1	no	—
881	C₂×C₂²⋊C₄	—	5	1	no	—
882	C₂×C₂²⋊C₄	—	5	1	no	—
883	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
884	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
885	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
886	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
887	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
888	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
889	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
890	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
891	C₂×C₄²	—	5	1	no	—
892	C₂×C₄²	—	5	1	no	—
893	C₂×C₄²	—	5	1	no	—
894	C₂×C₄²	—	5	1	no	—
895	C₂×C₄²	—	5	1	no	—
896	C₂×C₄²	—	5	1	no	—
897	C₂×C₄²	—	5	1	no	—
898	C₂×C₄²	—	5	1	no	—
899	C₂×C₄²	—	5	1	no	—
900	C₂×C₄²	—	5	1	no	—
901	C₂×C₄²	—	5	1	no	—
902	C₂×C₄²	—	5	1	no	—
903	C₂×C₄²	—	5	1	no	—
904	C₂×C₄²	—	5	1	no	—
905	C₂×C₄²	—	5	1	no	—
906	C₂×C₄²	—	5	1	no	—
907	C₂×C₄²	—	20	2	no	—
908	C₂×C₄²	—	20	2	no	—
909	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
939	#95	—	5	1	no	—
940	#95	—	5	1	no	—
941	#95	—	5	1	no	—
942	#95	—	5	1	no	—
943	#95	—	5	1	no	—
944	#95	—	5	1	no	—
945	#95	—	5	1	no	—
946	#95	—	5	1	no	—
947	#95	—	5	1	no	—
948	#95	—	5	1	no	—
949	#95	—	5	1	no	—
950	#95	—	5	1	no	—
951	#95	—	5	1	no	—
952	#95	—	5	1	no	—
953	#95	—	5	1	no	—
954	#95	—	5	1	no	—
955	#95	—	5	1	no	—
956	#95	—	5	1	no	—
957	#95	—	5	1	no	—
958	#95	—	5	1	no	—
959	#95	—	5	1	no	—
960	#95	C₂²×D₅	1	1	yes	characteristic
961	#95	C₂²×D₅	1	1	yes	characteristic
962	#95	C₂²×D₅	1	1	yes	characteristic
963	#95	C₂²×D₅	1	1	yes	characteristic
964	#95	C₂²×D₅	1	1	yes	characteristic
965	#95	C₂²×D₅	1	1	yes	characteristic
966	#95	C₂²×D₅	1	1	yes	characteristic
967	#95	C₂²×D₅	1	1	yes	characteristic
968	#95	C₂²×D₅	1	1	yes	characteristic
969	#95	C₂²×D₅	1	1	yes	characteristic
970	#95	C₂²×D₅	1	1	yes	characteristic
971	#95	C₂²×D₅	1	1	yes	characteristic
972	#95	C₂²×D₅	1	1	yes	characteristic
973	#95	C₂²×D₅	1	1	yes	characteristic
974	C₂²×C₅	—	2	2	no	—
975	C₂²×C₅	—	2	2	no	—
976	C₂²×C₅	—	2	2	no	—
977	C₂²×C₅	—	2	2	no	—
978	C₂²×C₅	—	2	2	no	—
979	C₂²×C₅	—	2	2	no	—
980	C₂²×C₅	—	2	2	no	—
981	C₂²×C₅	—	2	2	no	—
982	C₂²×C₅	—	2	2	no	—
983	C₂²×C₅	—	4	1	no	—
984	C₂²×C₅	—	4	1	no	—
985	C₂²×C₅	—	4	1	no	—
986	C₂²×C₅	—	4	1	no	—
987	C₂²×C₅	#529	1	4	yes	—
988	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
989	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
990	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
991	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
992	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
993	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
994	C₂²×C₅	#585	1	1	yes	characteristic
995	C₄×C₅	—	2	2	no	—
996	C₄×C₅	—	2	2	no	—
997	C₄×C₅	—	4	1	no	—
998	C₄×C₅	—	4	1	no	—
999	C₄×C₅	—	4	1	no	—
1000	C₄×C₅	—	4	1	no	—
1001	C₄×C₅	—	4	1	no	—
1002	C₄×C₅	—	4	1	no	—
1003	C₄×C₅	—	4	1	no	—
1004	C₄×C₅	—	4	1	no	—
1005	C₄×C₅	—	4	1	no	—
1006	C₄×C₅	—	4	1	no	—
1007	C₄×C₅	—	4	1	no	—
1008	Dic₅	—	2	2	no	—
1009	Dic₅	—	2	2	no	—
1010	Dic₅	—	2	2	no	—
1011	Dic₅	—	4	1	no	—
1012	Dic₅	—	4	1	no	—
1013	Dic₅	—	4	1	no	—
1014	Dic₅	—	4	1	no	—
1015	Dic₅	—	4	1	no	—
1016	Dic₅	—	4	1	no	—
1017	Dic₅	—	4	1	no	—
1018	Dic₅	—	4	1	no	—
1019	Dic₅	—	4	1	no	—
1020	Dic₅	—	4	1	no	—
1021	Dic₅	—	4	1	no	—
1022	Dic₅	—	4	1	no	—
1023	Dic₅	#539	1	4	yes	—
1024	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1025	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1026	C₂×Q₈	—	10	2	no	—
1027	C₂×Q₈	—	10	2	no	—
1028	C₂×Q₈	—	10	2	no	—
1029	C₂×D₄	—	2	2	no	—
1030	C₂×D₄	—	2	2	no	—
1031	C₂×D₄	#711	1	4	yes	—
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	2	2	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	4	1	no	—
1041	C₂²×C₄	—	4	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	—	5	1	no	—
1045	C₂²×C₄	—	5	4	no	—
1046	C₂²×C₄	—	5	1	no	—
1047	C₂²×C₄	—	5	1	no	—
1048	C₂²×C₄	—	5	1	no	—
1049	C₂²×C₄	—	5	4	no	—
1050	C₂²×C₄	—	5	1	no	—
1051	C₂²×C₄	—	5	1	no	—
1052	C₂²×C₄	—	5	1	no	—
1053	C₂²×C₄	—	5	1	no	—
1054	C₂²×C₄	—	5	1	no	—
1055	C₂²×C₄	—	5	1	no	—
1056	C₂²×C₄	—	5	1	no	—
1057	C₂²×C₄	—	5	1	no	—
1058	C₂²×C₄	—	5	1	no	—
1059	C₂²×C₄	—	5	1	no	—
1060	C₂²×C₄	—	5	1	no	—
1061	C₂²×C₄	—	5	1	no	—
1062	C₂²×C₄	—	10	2	no	—
1063	C₂²×C₄	—	10	2	no	—
1064	C₂²×C₄	—	10	2	no	—
1065	C₂²×C₄	—	10	2	no	—
1066	C₂²×C₄	—	10	2	no	—
1067	C₂²×C₄	—	10	2	no	—
1068	C₂²×C₄	—	10	2	no	—
1069	C₂²×C₄	—	10	2	no	—
1070	C₂²×C₄	—	10	2	no	—
1071	C₂²×C₄	—	10	2	no	—
1072	C₂²×C₄	—	20	1	no	—
1073	C₂²×C₄	—	20	1	no	—
1074	C₂²×C₄	—	20	1	no	—
1075	C₂²×C₄	—	20	1	no	—
1076	C₂²×C₄	—	20	1	no	—
1077	C₂²×C₄	—	20	1	no	—
1078	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1091	C₄⋊C₄	—	2	2	no	—
1092	C₄⋊C₄	—	2	2	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	4	1	no	—
1096	C₄⋊C₄	—	4	1	no	—
1097	C₄⋊C₄	—	4	1	no	—
1098	C₄⋊C₄	—	10	2	no	—
1099	C₄⋊C₄	—	10	2	no	—
1100	C₄⋊C₄	—	10	2	no	—
1101	C₄⋊C₄	—	10	2	no	—
1102	C₄⋊C₄	—	10	2	no	—
1103	C₄⋊C₄	—	10	2	no	—
1104	C₄⋊C₄	—	10	2	no	—
1105	C₄⋊C₄	—	10	2	no	—
1106	C₄⋊C₄	—	10	2	no	—
1107	C₄⋊C₄	—	10	2	no	—
1108	C₄⋊C₄	—	10	2	no	—
1109	C₄⋊C₄	—	10	2	no	—
1110	C₄⋊C₄	—	10	2	no	—
1111	C₄⋊C₄	—	10	2	no	—
1112	C₄⋊C₄	—	10	2	no	—
1113	C₄⋊C₄	—	10	2	no	—
1114	C₄⋊C₄	—	10	2	no	—
1115	C₄⋊C₄	—	10	2	no	—
1116	C₄⋊C₄	—	10	2	no	—
1117	C₄⋊C₄	—	10	2	no	—
1118	C₄⋊C₄	—	10	2	no	—
1119	C₄⋊C₄	—	10	2	no	—
1120	C₄⋊C₄	—	10	2	no	—
1121	C₄⋊C₄	—	10	2	no	—
1122	C₄⋊C₄	—	20	1	no	—
1123	C₄⋊C₄	—	20	1	no	—
1124	C₄⋊C₄	—	20	1	no	—
1125	C₄⋊C₄	—	20	1	no	—
1126	C₄⋊C₄	—	20	1	no	—
1127	C₄⋊C₄	—	20	1	no	—
1128	C₄⋊C₄	—	20	1	no	—
1129	C₄⋊C₄	—	20	1	no	—
1130	C₄⋊C₄	—	20	1	no	—
1131	C₄⋊C₄	—	20	1	no	—
1132	C₄⋊C₄	—	20	1	no	—
1133	C₄⋊C₄	—	20	1	no	—
1134	C₄⋊C₄	—	20	1	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	2	no	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	—	2	2	no	—
1140	C₂²⋊C₄	—	2	2	no	—
1141	C₂²⋊C₄	—	4	1	no	—
1142	C₂²⋊C₄	—	4	1	no	—
1143	C₂²⋊C₄	—	10	2	no	—
1144	C₂²⋊C₄	—	10	2	no	—
1145	C₂²⋊C₄	—	10	2	no	—
1146	C₂²⋊C₄	—	10	2	no	—
1147	C₂²⋊C₄	—	10	2	no	—
1148	C₂²⋊C₄	—	10	2	no	—
1149	C₂²⋊C₄	—	10	2	no	—
1150	C₂²⋊C₄	—	10	2	no	—
1151	C₂²⋊C₄	—	20	1	no	—
1152	C₂²⋊C₄	—	20	1	no	—
1153	C₄²	—	2	2	no	—
1154	C₄²	—	10	2	no	—
1155	C₄²	—	10	2	no	—
1156	C₄²	—	10	2	no	—
1157	C₄²	—	10	2	no	—
1158	C₄²	—	10	2	no	—
1159	C₄²	—	10	2	no	—
1160	C₄²	—	10	2	no	—
1161	C₄²	—	20	1	no	—
1162	C₄²	—	20	1	no	—
1163	C₄²	—	20	1	no	—
1164	C₄²	—	20	1	no	—
1165	C₄²	—	20	1	no	—
1166	C₄²	—	20	1	no	—
1167	C₄²	—	20	1	no	—
1168	C₄²	—	20	1	no	—
1169	C₄²	—	20	1	no	—
1170	C₂×C₅	—	2	4	no	—
1171	C₂×C₅	—	4	2	no	—
1172	C₂×C₅	C₂×#529	1	1	yes	characteristic
1173	C₂×C₅	C₂×#539	1	1	yes	characteristic
1174	C₂×C₅	#3461	1	1	yes	characteristic
1175	C₂×C₅	#3505	1	1	yes	characteristic
1176	C₂×C₅	#3509	1	1	yes	characteristic
1177	C₂×C₅	#3515	1	1	yes	characteristic
1178	C₂×C₅	#3520	1	1	yes	characteristic
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	C₂×#711	1	2	yes	—
1190	C₂³	C₂×#711	1	2	yes	—
1191	C₂³	D₅×#41	1	2	yes	—
1192	C₂³	D₅×#41	1	2	yes	—
1193	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1194	Q₈	—	20	4	no	—
1195	D₄	—	2	8	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	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	4	4	no	—
1234	C₂×C₄	—	4	4	no	—
1235	C₂×C₄	—	4	4	no	—
1236	C₂×C₄	—	5	2	no	—
1237	C₂×C₄	—	5	2	no	—
1238	C₂×C₄	—	5	2	no	—
1239	C₂×C₄	—	5	2	no	—
1240	C₂×C₄	—	5	2	no	—
1241	C₂×C₄	—	5	2	no	—
1242	C₂×C₄	—	8	2	no	—
1243	C₂×C₄	—	10	8	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	—	10	1	no	—
1251	C₂×C₄	—	10	1	no	—
1252	C₂×C₄	—	10	1	no	—
1253	C₂×C₄	—	10	1	no	—
1254	C₂×C₄	—	10	1	no	—
1255	C₂×C₄	—	10	1	no	—
1256	C₂×C₄	—	10	1	no	—
1257	C₂×C₄	—	10	1	no	—
1258	C₂×C₄	—	10	1	no	—
1259	C₂×C₄	—	10	1	no	—
1260	C₂×C₄	—	10	1	no	—
1261	C₂×C₄	—	10	1	no	—
1262	C₂×C₄	—	10	1	no	—
1263	C₂×C₄	—	10	1	no	—
1264	C₂×C₄	—	10	1	no	—
1265	C₂×C₄	—	10	1	no	—
1266	C₂×C₄	—	10	1	no	—
1267	C₂×C₄	—	10	1	no	—
1268	C₂×C₄	—	10	1	no	—
1269	C₂×C₄	—	10	1	no	—
1270	C₂×C₄	—	10	1	no	—
1271	C₂×C₄	—	10	1	no	—
1272	C₂×C₄	—	10	1	no	—
1273	C₂×C₄	—	10	1	no	—
1274	C₂×C₄	—	10	1	no	—
1275	C₂×C₄	—	10	1	no	—
1276	C₂×C₄	—	10	1	no	—
1277	C₂×C₄	—	10	1	no	—
1278	C₂×C₄	—	10	1	no	—
1279	C₂×C₄	—	10	1	no	—
1280	C₂×C₄	—	10	1	no	—
1281	C₂×C₄	—	10	1	no	—
1282	C₂×C₄	—	10	1	no	—
1283	C₂×C₄	—	10	1	no	—
1284	C₂×C₄	—	10	1	no	—
1285	C₂×C₄	—	10	1	no	—
1286	C₂×C₄	—	20	4	no	—
1287	C₂×C₄	—	20	4	no	—
1288	C₂×C₄	—	20	4	no	—
1289	C₂×C₄	—	20	4	no	—
1290	C₂×C₄	—	40	2	no	—
1291	C₂×C₄	C₂×#711	1	2	yes	—
1292	C₂×C₄	#4150	1	2	yes	—
1293	C₅	#35026	1	1	yes	characteristic, complemented, Sylow
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	2	no	—
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	4	1	no	—
1304	C₂²	—	4	1	no	—
1305	C₂²	—	4	1	no	—
1306	C₂²	—	4	1	no	—
1307	C₂²	#65983	1	4	yes	—
1308	C₂²	C₂²×#711	1	1	yes	characteristic
1309	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1310	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1311	C₂²	C₂×#4150	1	1	yes	characteristic
1312	C₂²	#66283	1	1	yes	characteristic
1313	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1314	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1315	C₄	—	2	2	no	—
1316	C₄	—	2	2	no	—
1317	C₄	—	4	1	no	—
1318	C₄	—	4	1	no	—
1319	C₄	—	4	1	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	5	4	no	—
1329	C₄	—	10	2	no	—
1330	C₄	—	10	2	no	—
1331	C₄	—	10	2	no	—
1332	C₄	—	20	1	no	—
1333	C₄	—	20	1	no	—
1334	C₄	—	20	1	no	—
1335	C₄	—	20	1	no	—
1336	C₄	—	20	1	no	—
1337	C₄	—	20	1	no	—
1338	C₄	—	20	1	no	—
1339	C₄	—	20	1	no	—
1340	C₄	—	20	1	no	—
1341	C₄	—	20	1	no	—
1342	C₄	—	20	1	no	—
1343	C₄	—	20	1	no	—
1344	C₂	—	2	4	no	—
1345	C₂	—	4	2	no	—
1346	C₂	C₂×#65983	1	1	yes	characteristic
1347	C₂	#10618021	1	1	yes	characteristic
1348	C₂	D₅×#539	1	1	yes	characteristic
1349	C₂	#10618542	1	1	yes	characteristic
1350	C₂	#10618583	1	1	yes	characteristic
1351	C₂	#10618718	1	1	yes	characteristic
1352	C₂	#10618733	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2419	C₂
prime radical	C₂²×C₅×D₄	C₂³
hypercenter	#2419	D₅
hypocenter	C₅	#35026
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2419

Complements

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

N	H ≅ G/N	type
6. #10609959	C₂	semidirect
7. #10609887	C₂	semidirect
8. #10609566	C₂	semidirect
9. #10609480	C₂	semidirect
10. #10609290	C₂	semidirect
11. #10609288	C₂	semidirect
12. #10609219	C₂	semidirect
13. #10609195	C₂	semidirect
14. #10607023	C₂	semidirect
15. #10607022	C₂	semidirect
16. #10606823	C₂	semidirect
17. #10606822	C₂	semidirect
20. #10606317	C₂	semidirect
21. #10606210	C₂	semidirect
22. #10606189	C₂	semidirect
23. #10606112	C₂	semidirect
24. #10605848	C₂	semidirect
25. #10605816	C₂	semidirect
26. #10605810	C₂	semidirect
27. #10605785	C₂	semidirect
28. #10605633	C₂	semidirect
29. #10605598	C₂	semidirect
30. #10605084	C₂	semidirect
31. C₂×#64936	C₂	semidirect
1293. C₅	#35026	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2419	2
#10614587	2
#10614567	2
#10614085	2
C₄×D₄×Dic₅	2
#10609959	2
#10609887	2
#10609566	2
#10609480	2
#10609290	2
#10609288	2
#10609219	2
#10609195	2
#10607023	2
#10607022	2
#10606823	2
#10606822	2
#10606424	2
#10606395	2
#10606317	2
#10606210	2
#10606189	2
#10606112	2
#10605848	2
#10605816	2
#10605810	2
#10605785	2
#10605633	2
#10605598	2
#10605084	2
C₂×#64936	2
#35026	5