Subgroups — #12307721

Order 1280.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2730	C₂	1	1	yes	maximal, characteristic, complemented
2	#10614739	C₂	1	1	yes	maximal, characteristic, complemented
3	#10614736	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614547	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614532	C₂	1	1	yes	maximal, characteristic, complemented
6	#10609851	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609840	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609451	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609405	C₂	1	1	yes	maximal, characteristic, complemented
10	#10609154	C₂	1	1	yes	maximal, characteristic, complemented
11	#10609106	C₂	1	1	yes	maximal, characteristic, complemented
12	#10608874	C₂	1	1	yes	maximal, characteristic, complemented
13	#10608846	C₂	1	1	yes	maximal, characteristic, complemented
14	#10608837	C₂	1	1	yes	maximal, characteristic, complemented
15	#10608781	C₂	1	1	yes	maximal, characteristic, complemented
16	#10608486	C₂	1	1	yes	maximal, characteristic
17	#10608464	C₂	1	1	yes	maximal, characteristic, complemented
18	#10608360	C₂	1	1	yes	maximal, characteristic, complemented
19	#10608318	C₂	1	1	yes	maximal, characteristic, complemented
20	#10608160	C₂	1	1	yes	maximal, characteristic, complemented
21	#10608141	C₂	1	1	yes	maximal, characteristic, complemented
22	#10607664	C₂	1	1	yes	maximal, characteristic, complemented
23	#10607601	C₂	1	1	yes	maximal, characteristic, complemented
24	D₅×#388	C₂	1	1	yes	maximal, characteristic, complemented
25	#10607505	C₂	1	1	yes	maximal, characteristic, complemented
26	#10607177	C₂	1	1	yes	maximal, characteristic, complemented
27	#10607162	C₂	1	1	yes	maximal, characteristic, complemented
28	#10606621	C₂	1	1	yes	maximal, characteristic, complemented
29	#10606605	C₂	1	1	yes	maximal, characteristic, complemented
30	#10606590	C₂	1	1	yes	maximal, characteristic, complemented
31	#10606585	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
33	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
36	C₂×#4084	C₂²	1	1	yes	characteristic
37	C₂×#4083	C₂²	1	1	yes	characteristic
38	C₂×#4083	C₂²	1	1	yes	characteristic
39	C₂²×#685	C₂²	1	1	yes	characteristic
40	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4040	C₂²	1	1	yes	characteristic
42	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4030	C₂²	1	1	yes	characteristic
44	C₂×#4029	C₂²	1	1	yes	characteristic
45	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
47	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
51	C₅×#399	C₂²	1	1	yes	characteristic, complemented
52	C₅×#397	C₂²	1	1	yes	characteristic, complemented
53	C₅×#396	C₂²	1	1	yes	characteristic, complemented
54	C₅×#394	C₂²	1	1	yes	characteristic
55	C₅×#394	C₂²	1	1	yes	characteristic, complemented
56	C₅×#392	C₂²	1	1	yes	characteristic
57	C₅×#391	C₂²	1	1	yes	characteristic, complemented
58	C₅×#390	C₂²	1	1	yes	characteristic, complemented
59	C₅×#388	C₂²	1	1	yes	characteristic, complemented
60	C₅×#388	C₂²	1	1	yes	characteristic, complemented
61	C₅×#387	C₂²	1	1	yes	characteristic, complemented
62	C₅×#386	C₂²	1	1	yes	characteristic
63	C₅×#386	C₂²	1	1	yes	characteristic, complemented
64	#65520	C₂²	1	1	yes	characteristic
65	#65520	C₂²	1	1	yes	characteristic, complemented
66	#65519	C₂²	1	1	yes	characteristic, complemented
67	#65512	C₂²	1	1	yes	characteristic
68	#65511	C₂²	1	1	yes	characteristic
69	#65511	C₂²	1	1	yes	characteristic
70	#65510	C₂²	1	1	yes	characteristic, complemented
71	#65509	C₂²	1	1	yes	characteristic
72	#65509	C₂²	1	1	yes	characteristic, complemented
73	#65509	C₂²	1	1	yes	characteristic, complemented
74	#65509	C₂²	1	1	yes	characteristic, complemented
75	#65502	C₂²	1	1	yes	characteristic
76	#65501	C₂²	1	1	yes	characteristic, complemented
77	#65499	C₂²	1	1	yes	characteristic, complemented
78	#65283	C₂²	1	1	yes	characteristic
79	#65283	C₂²	1	1	yes	characteristic
80	#65283	C₂²	1	1	yes	characteristic, complemented
81	#65283	C₂²	1	1	yes	characteristic, complemented
82	#65281	C₂²	1	1	yes	characteristic
83	#65279	C₂²	1	1	yes	characteristic
84	#65279	C₂²	1	1	yes	characteristic
85	#65279	C₂²	1	1	yes	characteristic, complemented
86	#65279	C₂²	1	1	yes	characteristic, complemented
87	#65278	C₂²	1	1	yes	characteristic
88	#65278	C₂²	1	1	yes	characteristic, complemented
89	#65278	C₂²	1	1	yes	characteristic, complemented
90	#65278	C₂²	1	1	yes	characteristic, complemented
91	#65276	C₂²	1	1	yes	characteristic, complemented
92	#65275	C₂²	1	1	yes	characteristic, complemented
93	#65274	C₂²	1	1	yes	characteristic, complemented
94	#65273	C₂²	1	1	yes	characteristic, complemented
95	#65273	C₂²	1	1	yes	characteristic, complemented
96	#65273	C₂²	1	1	yes	characteristic, complemented
97	#65271	C₂²	1	1	yes	characteristic, complemented
98	#65271	C₂²	1	1	yes	characteristic, complemented
99	#65250	C₂²	1	1	yes	characteristic
100	#65250	C₂²	1	1	yes	characteristic
101	#65250	C₂²	1	1	yes	characteristic
102	#65250	C₂²	1	1	yes	characteristic, complemented
103	#65248	C₂²	1	1	yes	characteristic
104	#65248	C₂²	1	1	yes	characteristic
105	#65248	C₂²	1	1	yes	characteristic, complemented
106	#65248	C₂²	1	1	yes	characteristic, complemented
107	#65247	C₂²	1	1	yes	characteristic
108	#65247	C₂²	1	1	yes	characteristic
109	#65247	C₂²	1	1	yes	characteristic, complemented
110	#65246	C₂²	1	1	yes	characteristic
111	#65245	C₂²	1	1	yes	characteristic
112	#65245	C₂²	1	1	yes	characteristic
113	#65245	C₂²	1	1	yes	characteristic
114	#65245	C₂²	1	1	yes	characteristic
115	#65245	C₂²	1	1	yes	characteristic
116	#65245	C₂²	1	1	yes	characteristic, complemented
117	#65245	C₂²	1	1	yes	characteristic, complemented
118	#65244	C₂²	1	1	yes	characteristic
119	#65244	C₂²	1	1	yes	characteristic
120	#65244	C₂²	1	1	yes	characteristic
121	#65244	C₂²	1	1	yes	characteristic
122	#65244	C₂²	1	1	yes	characteristic
123	#65244	C₂²	1	1	yes	characteristic
124	#65242	C₂²	1	1	yes	characteristic, complemented
125	#65242	C₂²	1	1	yes	characteristic, complemented
126	#65241	C₂²	1	1	yes	characteristic, complemented
127	#65241	C₂²	1	1	yes	characteristic, complemented
128	#65241	C₂²	1	1	yes	characteristic, complemented
129	#65240	C₂²	1	1	yes	characteristic, complemented
130	#65240	C₂²	1	1	yes	characteristic, complemented
131	#65239	C₂²	1	1	yes	characteristic, complemented
132	#65238	C₂²	1	1	yes	characteristic, complemented
133	#65237	C₂²	1	1	yes	characteristic, complemented
134	#65237	C₂²	1	1	yes	characteristic, complemented
135	#65234	C₂²	1	1	yes	characteristic, complemented
136	#65234	C₂²	1	1	yes	characteristic, complemented
137	#65234	C₂²	1	1	yes	characteristic, complemented
138	#65233	C₂²	1	1	yes	characteristic, complemented
139	#65233	C₂²	1	1	yes	characteristic, complemented
140	#65233	C₂²	1	1	yes	characteristic, complemented
141	#65233	C₂²	1	1	yes	characteristic, complemented
142	#65233	C₂²	1	1	yes	characteristic, complemented
143	#65233	C₂²	1	1	yes	characteristic, complemented
144	#65232	C₂²	1	1	yes	characteristic, complemented
145	#65231	C₂²	1	1	yes	characteristic, complemented
146	#65231	C₂²	1	1	yes	characteristic, complemented
147	#65231	C₂²	1	1	yes	characteristic, complemented
148	#65229	C₂²	1	1	yes	characteristic
149	#65229	C₂²	1	1	yes	characteristic
150	#65229	C₂²	1	1	yes	characteristic, complemented
151	#65229	C₂²	1	1	yes	characteristic, complemented
152	C₄×#685	C₂²	1	1	yes	characteristic, complemented
153	#65226	C₂²	1	1	yes	characteristic, complemented
154	#65225	C₂²	1	1	yes	characteristic, complemented
155	#64964	C₂²	1	1	yes	characteristic
156	#64964	C₂²	1	1	yes	characteristic, complemented
157	#64964	C₂²	1	1	yes	characteristic, complemented
158	#64963	C₂²	1	1	yes	characteristic
159	#64959	C₂²	1	1	yes	characteristic
160	#64959	C₂²	1	1	yes	characteristic, complemented
161	#64958	C₂²	1	1	yes	characteristic
162	#64958	C₂²	1	1	yes	characteristic, complemented
163	#64957	C₂²	1	1	yes	characteristic
164	#64957	C₂²	1	1	yes	characteristic
165	#64957	C₂²	1	1	yes	characteristic, complemented
166	#64954	C₂²	1	1	yes	characteristic
167	#64954	C₂²	1	1	yes	characteristic
168	#64954	C₂²	1	1	yes	characteristic
169	#64954	C₂²	1	1	yes	characteristic
170	#64953	C₂²	1	1	yes	characteristic
171	#64953	C₂²	1	1	yes	characteristic
172	#64953	C₂²	1	1	yes	characteristic, complemented
173	D₅×#95	C₂²	1	1	yes	characteristic, complemented
174	D₅×#95	C₂²	1	1	yes	characteristic, complemented
175	C₅⋊#401	C₂²	1	1	yes	characteristic, complemented
176	#64949	C₂²	1	1	yes	characteristic, complemented
177	#64948	C₂²	1	1	yes	characteristic, complemented
178	#64947	C₂²	1	1	yes	characteristic, complemented
179	#64946	C₂²	1	1	yes	characteristic, complemented
180	#64946	C₂²	1	1	yes	characteristic, complemented
181	#64944	C₂²	1	1	yes	characteristic, complemented
182	#64943	C₂²	1	1	yes	characteristic, complemented
183	#64941	C₂²	1	1	yes	characteristic, complemented
184	#64941	C₂²	1	1	yes	characteristic, complemented
185	#64940	C₂²	1	1	yes	characteristic, complemented
186	#64939	C₂²	1	1	yes	characteristic, complemented
187	#36779	—	5	1	no	maximal, Sylow
188	C₂⁴×D₅	C₂³	1	1	yes	characteristic
189	C₂⁴×D₅	C₂³	1	1	yes	characteristic
190	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
191	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
193	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
198	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
199	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
200	C₂³×Dic₅	C₂³	1	1	yes	characteristic
201	C₂³×Dic₅	C₂³	1	1	yes	characteristic
202	C₂×D₄×D₅	—	2	4	no	—
203	C₂×D₄×D₅	—	4	2	no	—
204	C₂×D₄×D₅	—	4	2	no	—
205	C₂²×D₂₀	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
213	C₅×#124	—	4	2	no	—
214	C₅×C₂²⋊Q₈	—	4	2	no	—
215	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
252	#4092	—	4	2	no	—
253	#4084	—	4	2	no	—
254	#4083	—	2	4	no	—
255	#4083	—	4	2	no	—
256	C₂×#685	—	4	2	no	—
257	C₂×#685	C₂³	1	1	yes	characteristic
258	C₂×#685	C₂³	1	1	yes	characteristic
259	C₂×#685	C₂³	1	1	yes	characteristic
260	C₂×#685	C₂³	1	1	yes	characteristic
261	C₂×#685	C₂³	1	1	yes	characteristic
262	C₂×#685	C₂³	1	1	yes	characteristic
263	C₂×#685	C₂³	1	1	yes	characteristic
264	C₂×#685	C₂³	1	1	yes	characteristic
265	C₂×#685	C₂³	1	1	yes	characteristic
266	C₂×#685	C₂³	1	1	yes	characteristic
267	C₂×#685	C₂³	1	1	yes	characteristic
268	C₂×#685	C₂³	1	1	yes	characteristic
269	C₂×#685	C₂³	1	1	yes	characteristic
270	C₂×#685	C₂³	1	1	yes	characteristic
271	C₂×#685	C₂³	1	1	yes	characteristic
272	C₂×#685	C₂³	1	1	yes	characteristic
273	C₂×#685	C₂³	1	1	yes	characteristic
274	C₂×#685	C₂³	1	1	yes	characteristic
275	C₂×#685	C₂³	1	1	yes	characteristic
276	C₂×#685	C₂³	1	1	yes	characteristic
277	C₂×#685	C₂³	1	1	yes	characteristic
278	C₂×#685	C₂³	1	1	yes	characteristic
279	C₂×#685	C₂³	1	1	yes	characteristic
280	C₂×#685	C₂³	1	1	yes	characteristic
281	C₂×#685	C₂³	1	1	yes	characteristic
282	C₂×#685	C₂³	1	1	yes	characteristic
283	C₂×#685	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	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
291	C₂×#683	C₂³	1	1	yes	characteristic
292	C₂×#683	C₂³	1	1	yes	characteristic
293	C₂×#683	C₂³	1	1	yes	characteristic
294	C₂×#683	C₂³	1	1	yes	characteristic
295	C₂×#683	C₂³	1	1	yes	characteristic
296	C₂×#683	C₂³	1	1	yes	characteristic
297	C₂×#683	C₂³	1	1	yes	characteristic
298	C₂×#683	C₂³	1	1	yes	characteristic
299	C₂×#683	C₂³	1	1	yes	characteristic
300	C₂×#683	C₂³	1	1	yes	characteristic
301	C₂×#683	C₂³	1	1	yes	characteristic
302	C₂×#683	C₂³	1	1	yes	characteristic
303	C₂×#683	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
309	#4044	—	4	2	no	—
310	#4040	—	4	2	no	—
311	D₅×C₄⋊C₄	—	4	2	no	—
312	#4030	—	4	2	no	—
313	#4029	—	4	2	no	—
314	#4029	—	4	2	no	—
315	#4027	—	4	2	no	—
316	D₅×C₂²⋊C₄	—	2	4	no	—
317	D₅×C₂²⋊C₄	—	4	2	no	—
318	D₅×C₂²⋊C₄	—	4	2	no	—
319	C₄²×D₅	—	4	2	no	—
320	C₅×#95	C₂³	1	1	yes	characteristic
321	C₅×#95	C₂³	1	1	yes	characteristic
322	C₅×#95	C₂³	1	1	yes	characteristic
323	C₅×#95	C₂³	1	1	yes	characteristic
324	C₅×#95	C₂³	1	1	yes	characteristic
325	C₅×#95	C₂³	1	1	yes	characteristic
326	C₅×#95	C₂³	1	1	yes	characteristic
327	C₅×#95	C₂³	1	1	yes	characteristic
328	#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	#3963	C₂³	1	1	yes	characteristic
359	#3963	C₂³	1	1	yes	characteristic
360	#3963	C₂³	1	1	yes	characteristic
361	#3963	C₂³	1	1	yes	characteristic
362	#3963	C₂³	1	1	yes	characteristic
363	#3963	C₂³	1	1	yes	characteristic
364	#2852	—	5	1	no	—
365	#2850	—	5	1	no	—
366	#2781	—	5	1	no	—
367	#2781	—	5	1	no	—
368	#2778	—	5	1	no	—
369	#2765	—	5	1	no	—
370	#2764	—	5	1	no	—
371	#2761	—	5	1	no	—
372	#2756	—	5	1	no	—
373	#2749	—	5	1	no	—
374	#2743	—	5	1	no	—
375	#2741	—	5	1	no	—
376	#2735	—	5	1	no	—
377	#2735	—	5	1	no	—
378	#2730	D₅	1	1	yes	characteristic, complemented
379	#2702	—	5	1	no	—
380	#2685	—	5	1	no	—
381	#2684	—	5	1	no	—
382	#2623	—	5	1	no	—
383	#2618	—	5	1	no	—
384	#2510	—	5	1	no	—
385	#2488	—	5	1	no	—
386	#2444	—	5	1	no	—
387	#2437	—	5	1	no	—
388	#2425	—	5	1	no	—
389	#2412	—	5	1	no	—
390	#2410	—	5	1	no	—
391	#2405	—	5	1	no	—
392	#2321	—	5	1	no	—
393	#2308	—	5	1	no	—
394	C₂×#388	—	5	1	no	—
395	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
396	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
397	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
398	C₂³×D₅	—	2	2	no	—
399	C₂³×D₅	—	2	2	no	—
400	C₂³×D₅	—	2	2	no	—
401	C₂³×D₅	—	4	1	no	—
402	C₂³×D₅	—	4	1	no	—
403	C₂³×D₅	—	4	1	no	—
404	C₂³×D₅	—	4	1	no	—
405	C₂³×D₅	—	4	1	no	—
406	C₂³×D₅	—	4	1	no	—
407	C₂³×D₅	—	4	1	no	—
408	C₂³×D₅	—	4	1	no	—
409	C₂³×D₅	—	4	1	no	—
410	C₂³×D₅	—	4	1	no	—
411	C₂³×D₅	#41	1	4	yes	—
412	C₂³×D₅	C₂⁴	1	1	yes	characteristic
413	C₂³×D₅	C₂⁴	1	1	yes	characteristic
414	C₂³×D₅	C₂⁴	1	1	yes	characteristic
415	C₂×C₅×Q₈	—	2	2	no	—
416	C₂×C₅×Q₈	—	4	1	no	—
417	C₂×C₅×Q₈	—	4	1	no	—
418	C₂×C₅×D₄	—	2	2	no	—
419	C₂×C₅×D₄	—	2	2	no	—
420	C₂×C₅×D₄	—	2	2	no	—
421	C₂×C₅×D₄	—	4	1	no	—
422	C₂×C₅×D₄	—	4	1	no	—
423	C₂×C₅×D₄	—	4	1	no	—
424	C₂×C₅×D₄	—	4	1	no	—
425	C₂×C₅×D₄	—	4	1	no	—
426	C₂×C₅×D₄	—	4	1	no	—
427	C₂²×C₄×C₅	—	4	1	no	—
428	C₂²×C₄×C₅	—	4	1	no	—
429	C₂²×C₄×C₅	—	4	1	no	—
430	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
442	C₂×C₂²⋊D₅	—	2	2	no	—
443	C₂×C₂²⋊D₅	—	2	2	no	—
444	C₂×C₂²⋊D₅	—	2	2	no	—
445	C₂×C₂²⋊D₅	—	2	2	no	—
446	C₂×C₂²⋊D₅	—	2	2	no	—
447	C₂×C₂²⋊D₅	—	2	2	no	—
448	C₂×C₂²⋊D₅	—	2	2	no	—
449	C₂×C₂²⋊D₅	—	2	2	no	—
450	C₂×C₂²⋊D₅	—	4	1	no	—
451	C₂×C₂²⋊D₅	—	4	1	no	—
452	C₂×C₂²⋊D₅	—	4	1	no	—
453	C₂×C₂²⋊D₅	—	4	1	no	—
454	C₂×C₂²⋊D₅	—	4	1	no	—
455	C₂×C₂²⋊D₅	—	4	1	no	—
456	C₂×C₂²⋊D₅	—	4	1	no	—
457	C₂²×Dic₅	—	4	1	no	—
458	C₂²×Dic₅	—	4	1	no	—
459	C₂²×Dic₅	—	4	1	no	—
460	C₂²×Dic₅	—	4	1	no	—
461	C₂²×Dic₅	—	4	1	no	—
462	C₂²×Dic₅	—	4	1	no	—
463	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
464	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
466	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
467	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
468	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
469	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
470	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
471	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
472	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
473	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
474	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
475	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
476	D₄×D₅	—	4	16	no	—
477	C₂×D₂₀	—	2	2	no	—
478	C₂×D₂₀	—	2	2	no	—
479	C₂×D₂₀	—	2	2	no	—
480	C₂×C₄×D₅	—	2	2	no	—
481	C₂×C₄×D₅	—	2	2	no	—
482	C₂×C₄×D₅	—	2	2	no	—
483	C₂×C₄×D₅	—	2	2	no	—
484	C₂×C₄×D₅	—	2	2	no	—
485	C₂×C₄×D₅	—	2	2	no	—
486	C₂×C₄×D₅	—	2	2	no	—
487	C₂×C₄×D₅	—	2	2	no	—
488	C₂×C₄×D₅	—	2	2	no	—
489	C₂×C₄×D₅	—	2	2	no	—
490	C₂×C₄×D₅	—	4	1	no	—
491	C₂×C₄×D₅	—	4	1	no	—
492	C₂×C₄×D₅	—	4	1	no	—
493	C₂×C₄×D₅	—	4	1	no	—
494	C₂×C₄×D₅	—	4	1	no	—
495	C₂×C₄×D₅	—	4	1	no	—
496	C₂×C₄×D₅	—	4	1	no	—
497	C₂×C₄×D₅	—	4	1	no	—
498	C₂×C₄×D₅	—	4	1	no	—
499	C₂×C₄×D₅	—	4	1	no	—
500	C₂×C₄×D₅	—	4	1	no	—
501	C₅×C₄⋊C₄	—	2	2	no	—
502	C₅×C₄⋊C₄	—	4	1	no	—
503	C₅×C₄⋊C₄	—	4	1	no	—
504	C₅×C₄⋊C₄	—	4	1	no	—
505	C₅×C₄⋊C₄	—	4	1	no	—
506	C₅×C₄⋊C₄	—	4	1	no	—
507	C₅×C₂²⋊C₄	—	2	2	no	—
508	C₅×C₂²⋊C₄	—	2	2	no	—
509	C₅×C₂²⋊C₄	—	4	1	no	—
510	C₅×C₂²⋊C₄	—	4	1	no	—
511	C₅×C₂²⋊C₄	—	4	1	no	—
512	C₅×C₂²⋊C₄	—	4	1	no	—
513	C₅×C₂²⋊C₄	—	4	1	no	—
514	C₅×C₂²⋊C₄	—	4	1	no	—
515	C₅×C₂²⋊C₄	—	4	1	no	—
516	C₅×C₂²⋊C₄	—	4	1	no	—
517	C₅×C₂²⋊C₄	—	4	1	no	—
518	C₅×C₂²⋊C₄	—	4	1	no	—
519	C₅×C₂²⋊C₄	—	4	1	no	—
520	C₅×C₂²⋊C₄	—	4	1	no	—
521	C₄²×C₅	—	2	2	no	—
522	C₄²×C₅	—	4	1	no	—
523	C₂²⋊Dic₅	—	2	2	no	—
524	C₂²⋊Dic₅	—	2	2	no	—
525	C₂²⋊Dic₅	—	4	1	no	—
526	C₂²⋊Dic₅	—	4	1	no	—
527	C₂²⋊Dic₅	—	4	1	no	—
528	C₂²⋊Dic₅	—	4	1	no	—
529	C₂²⋊Dic₅	—	4	1	no	—
530	C₂²⋊Dic₅	—	4	1	no	—
531	C₂²⋊Dic₅	—	4	1	no	—
532	C₂²⋊Dic₅	—	4	1	no	—
533	C₂²⋊Dic₅	—	4	1	no	—
534	C₂²⋊Dic₅	—	4	1	no	—
535	C₂²⋊Dic₅	—	4	1	no	—
536	C₂²⋊Dic₅	—	4	1	no	—
537	C₂²⋊Dic₅	—	4	1	no	—
538	#685	—	2	2	no	—
539	#685	—	2	2	no	—
540	#685	—	2	2	no	—
541	#685	—	2	2	no	—
542	#685	—	2	2	no	—
543	#685	—	2	2	no	—
544	#685	—	2	2	no	—
545	#685	—	2	2	no	—
546	#685	—	2	2	no	—
547	#685	—	2	2	no	—
548	#685	—	4	1	no	—
549	#685	—	4	1	no	—
550	#685	—	4	1	no	—
551	#685	—	4	1	no	—
552	#685	—	4	1	no	—
553	#685	—	4	1	no	—
554	#685	—	4	1	no	—
555	#685	—	4	1	no	—
556	#685	—	4	1	no	—
557	#685	—	4	1	no	—
558	#685	—	4	1	no	—
559	#685	—	4	1	no	—
560	#685	—	4	1	no	—
561	#685	—	4	1	no	—
562	#685	—	4	1	no	—
563	#685	—	4	1	no	—
564	#685	—	4	1	no	—
565	C₄⋊Dic₅	—	4	1	no	—
566	C₄⋊Dic₅	—	4	1	no	—
567	C₄⋊Dic₅	—	4	1	no	—
568	C₄⋊Dic₅	—	4	1	no	—
569	C₄⋊Dic₅	—	4	1	no	—
570	C₄⋊Dic₅	—	4	1	no	—
571	C₄⋊Dic₅	—	4	1	no	—
572	#683	—	4	1	no	—
573	#683	—	4	1	no	—
574	#683	—	4	1	no	—
575	#683	—	4	1	no	—
576	#683	—	4	1	no	—
577	#683	—	4	1	no	—
578	#683	—	4	1	no	—
579	#683	—	4	1	no	—
580	#683	—	4	1	no	—
581	#683	—	4	1	no	—
582	#683	—	4	1	no	—
583	#683	—	4	1	no	—
584	#683	—	4	1	no	—
585	C₄×Dic₅	—	2	2	no	—
586	C₄×Dic₅	—	4	1	no	—
587	C₄×Dic₅	—	4	1	no	—
588	C₄×Dic₅	—	4	1	no	—
589	C₄×Dic₅	—	4	1	no	—
590	C₂³×D₄	—	5	1	no	—
591	C₂×#126	—	5	1	no	—
592	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
593	C₂×#123	—	5	1	no	—
594	C₂×#123	—	5	1	no	—
595	C₂×#123	—	5	1	no	—
596	C₂×C₂²⋊Q₈	—	5	1	no	—
597	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
598	C₂×#121	—	5	1	no	—
599	C₂×#121	—	5	1	no	—
600	C₂×#120	—	5	1	no	—
601	C₂×#120	—	5	1	no	—
602	C₂×C₄×D₄	—	5	1	no	—
603	C₂²×C₄⋊C₄	—	5	1	no	—
604	C₂²×C₂²⋊C₄	—	5	1	no	—
605	C₂²×C₂²⋊C₄	—	5	1	no	—
606	C₂²×C₂²⋊C₄	—	5	1	no	—
607	C₂²×C₂²⋊C₄	—	5	1	no	—
608	C₂²×C₄²	—	5	1	no	—
609	#401	—	5	1	no	—
610	#400	—	5	1	no	—
611	#400	—	5	1	no	—
612	#400	—	5	1	no	—
613	#400	—	5	1	no	—
614	#400	—	5	1	no	—
615	#400	—	5	1	no	—
616	#399	—	5	1	no	—
617	#399	—	5	1	no	—
618	#399	C₂×D₅	1	1	yes	characteristic, complemented
619	#398	—	5	1	no	—
620	#398	—	5	1	no	—
621	#398	—	5	1	no	—
622	#398	—	5	1	no	—
623	#398	—	5	1	no	—
624	#397	—	5	1	no	—
625	#397	—	5	1	no	—
626	#397	—	5	1	no	—
627	#397	—	5	1	no	—
628	#397	—	5	1	no	—
629	#397	—	5	1	no	—
630	#397	—	5	1	no	—
631	#397	—	5	1	no	—
632	#397	—	5	1	no	—
633	#397	C₂×D₅	1	1	yes	characteristic, complemented
634	#396	—	5	1	no	—
635	#396	—	5	1	no	—
636	#396	—	5	1	no	—
637	#396	—	5	1	no	—
638	#396	—	5	1	no	—
639	#396	—	5	1	no	—
640	#396	C₂×D₅	1	1	yes	characteristic, complemented
641	#394	—	5	1	no	—
642	#394	—	5	1	no	—
643	#394	—	5	1	no	—
644	#394	—	5	1	no	—
645	#394	—	5	1	no	—
646	#394	—	5	1	no	—
647	#394	—	5	1	no	—
648	#394	—	5	1	no	—
649	#394	—	5	1	no	—
650	#394	—	5	1	no	—
651	#394	C₂×D₅	1	1	yes	characteristic
652	#394	C₂×D₅	1	1	yes	characteristic, complemented
653	#393	—	5	1	no	—
654	#393	—	5	1	no	—
655	#392	—	5	1	no	—
656	#392	C₂×D₅	1	1	yes	characteristic
657	#391	—	5	1	no	—
658	#391	C₂×D₅	1	1	yes	characteristic, complemented
659	#390	—	5	1	no	—
660	#390	—	5	1	no	—
661	#390	C₂×D₅	1	1	yes	characteristic, complemented
662	#389	—	5	1	no	—
663	#388	—	5	1	no	—
664	#388	—	5	1	no	—
665	#388	—	5	1	no	—
666	#388	—	5	1	no	—
667	#388	—	5	1	no	—
668	#388	—	5	1	no	—
669	#388	—	5	1	no	—
670	#388	—	5	1	no	—
671	#388	—	5	1	no	—
672	#388	—	5	1	no	—
673	#388	—	5	1	no	—
674	#388	—	5	1	no	—
675	#388	—	5	1	no	—
676	#388	—	5	1	no	—
677	#388	—	5	1	no	—
678	#388	—	5	1	no	—
679	#388	—	5	1	no	—
680	#388	—	5	1	no	—
681	#388	—	5	1	no	—
682	#388	—	5	1	no	—
683	#388	—	5	1	no	—
684	#388	—	5	1	no	—
685	#388	—	5	1	no	—
686	#388	C₂×D₅	1	1	yes	characteristic, complemented
687	#388	C₂×D₅	1	1	yes	characteristic, complemented
688	#387	—	5	1	no	—
689	#387	—	5	1	no	—
690	#387	—	5	1	no	—
691	#387	—	5	1	no	—
692	#387	C₂×D₅	1	1	yes	characteristic, complemented
693	#386	—	5	1	no	—
694	#386	—	5	1	no	—
695	#386	—	5	1	no	—
696	#386	—	5	1	no	—
697	#386	—	5	1	no	—
698	#386	—	5	1	no	—
699	#386	—	5	1	no	—
700	#386	—	5	1	no	—
701	#386	—	5	1	no	—
702	#386	—	5	1	no	—
703	#386	—	5	1	no	—
704	#386	—	5	1	no	—
705	#386	—	5	1	no	—
706	#386	—	5	1	no	—
707	#386	—	5	1	no	—
708	#386	—	5	1	no	—
709	#386	—	5	1	no	—
710	#386	—	5	1	no	—
711	#386	—	5	1	no	—
712	#386	C₂×D₅	1	1	yes	characteristic
713	#386	C₂×D₅	1	1	yes	characteristic, complemented
714	#385	—	5	1	no	—
715	#385	—	5	1	no	—
716	#385	—	5	1	no	—
717	#385	—	5	1	no	—
718	#385	—	5	1	no	—
719	#385	—	5	1	no	—
720	#385	—	5	1	no	—
721	#385	—	5	1	no	—
722	#385	—	5	1	no	—
723	#383	—	5	1	no	—
724	#383	—	5	1	no	—
725	#382	—	5	1	no	—
726	#382	—	5	1	no	—
727	#381	—	5	1	no	—
728	#381	—	5	1	no	—
729	#381	—	5	1	no	—
730	#381	—	5	1	no	—
731	#380	—	5	1	no	—
732	#380	—	5	1	no	—
733	#380	—	5	1	no	—
734	#380	—	5	1	no	—
735	#380	—	5	1	no	—
736	#379	—	5	1	no	—
737	#379	—	5	1	no	—
738	#379	—	5	1	no	—
739	#379	—	5	1	no	—
740	#379	—	5	1	no	—
741	#379	—	5	1	no	—
742	C₄×C₂²⋊C₄	—	5	1	no	—
743	C₂×#95	—	5	1	no	—
744	C₂×#95	—	5	1	no	—
745	C₂³×C₅	—	2	1	no	—
746	C₂³×C₅	—	2	1	no	—
747	C₂³×C₅	—	2	1	no	—
748	C₂³×C₅	—	2	1	no	—
749	C₂³×C₅	—	2	1	no	—
750	C₂³×C₅	—	2	1	no	—
751	C₂³×C₅	—	2	1	no	—
752	C₂³×C₅	—	2	1	no	—
753	C₂³×C₅	—	2	1	no	—
754	C₂³×C₅	—	2	1	no	—
755	C₂³×C₅	—	2	1	no	—
756	C₂³×C₅	—	2	1	no	—
757	C₂³×C₅	—	2	1	no	—
758	C₂³×C₅	—	2	1	no	—
759	C₂³×C₅	—	2	1	no	—
760	C₂³×C₅	—	2	1	no	—
761	C₂³×C₅	—	2	1	no	—
762	C₂³×C₅	—	2	1	no	—
763	C₂³×C₅	—	2	1	no	—
764	C₂³×C₅	—	2	1	no	—
765	C₂³×C₅	C₂×#41	1	2	yes	—
766	C₂³×C₅	C₂⁵	1	1	yes	characteristic
767	C₂²×D₅	—	2	1	no	—
768	C₂²×D₅	—	2	1	no	—
769	C₂²×D₅	—	2	1	no	—
770	C₂²×D₅	—	2	1	no	—
771	C₂²×D₅	—	2	1	no	—
772	C₂²×D₅	—	2	1	no	—
773	C₂²×D₅	—	2	1	no	—
774	C₂²×D₅	—	2	1	no	—
775	C₂²×D₅	—	2	1	no	—
776	C₂²×D₅	—	2	1	no	—
777	C₂²×D₅	—	2	8	no	—
778	C₂²×D₅	—	2	1	no	—
779	C₂²×D₅	—	2	1	no	—
780	C₂²×D₅	—	2	1	no	—
781	C₂²×D₅	—	2	1	no	—
782	C₂²×D₅	—	2	1	no	—
783	C₂²×D₅	—	2	1	no	—
784	C₂²×D₅	—	2	1	no	—
785	C₂²×D₅	—	4	4	no	—
786	C₂²×D₅	—	4	4	no	—
787	C₂²×D₅	—	4	4	no	—
788	C₂²×D₅	—	8	2	no	—
789	C₂²×D₅	—	8	2	no	—
790	C₂²×D₅	—	8	2	no	—
791	C₂²×D₅	—	8	2	no	—
792	C₂²×D₅	—	8	2	no	—
793	C₂²×D₅	—	8	2	no	—
794	C₂²×D₅	—	8	2	no	—
795	C₂²×D₅	—	8	2	no	—
796	C₂²×D₅	—	8	2	no	—
797	C₂²×D₅	—	8	2	no	—
798	C₂²×D₅	C₂×#41	1	2	yes	—
799	C₂²×D₅	C₂×#41	1	2	yes	—
800	C₂²×D₅	H(5,𝔽₂)	1	2	yes	—
801	C₂²×D₅	H(5,𝔽₂)	1	2	yes	—
802	C₅×Q₈	—	8	2	no	—
803	C₅×D₄	—	4	4	no	—
804	C₅×D₄	—	8	2	no	—
805	C₅×D₄	—	8	2	no	—
806	C₂×C₄×C₅	—	2	1	no	—
807	C₂×C₄×C₅	—	2	1	no	—
808	C₂×C₄×C₅	—	2	1	no	—
809	C₂×C₄×C₅	—	2	1	no	—
810	C₂×C₄×C₅	—	2	1	no	—
811	C₂×C₄×C₅	—	2	1	no	—
812	C₂×C₄×C₅	—	2	1	no	—
813	C₂×C₄×C₅	—	2	1	no	—
814	C₂×C₄×C₅	—	2	1	no	—
815	C₂×C₄×C₅	—	2	1	no	—
816	C₂×C₄×C₅	—	2	1	no	—
817	C₂×C₄×C₅	—	2	1	no	—
818	C₂×C₄×C₅	—	2	1	no	—
819	C₂×C₄×C₅	—	2	1	no	—
820	C₂×C₄×C₅	—	2	1	no	—
821	C₂×C₄×C₅	—	2	1	no	—
822	C₂×C₄×C₅	—	2	1	no	—
823	C₂×C₄×C₅	—	2	1	no	—
824	C₂×C₄×C₅	—	2	1	no	—
825	C₂×C₄×C₅	—	2	1	no	—
826	C₂×C₄×C₅	—	2	1	no	—
827	C₂×C₄×C₅	—	2	1	no	—
828	C₂×C₄×C₅	—	2	1	no	—
829	C₂×C₄×C₅	—	2	1	no	—
830	C₂×C₄×C₅	—	2	1	no	—
831	C₂×C₄×C₅	—	2	1	no	—
832	C₂×C₄×C₅	—	2	1	no	—
833	C₂×C₄×C₅	—	2	1	no	—
834	C₂×C₄×C₅	—	2	1	no	—
835	C₂×C₄×C₅	—	2	1	no	—
836	C₂×C₄×C₅	—	2	1	no	—
837	C₂×C₄×C₅	—	2	1	no	—
838	C₂×C₄×C₅	—	2	1	no	—
839	C₂×C₄×C₅	—	2	1	no	—
840	C₂×C₄×C₅	—	2	1	no	—
841	C₂×C₄×C₅	—	8	2	no	—
842	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
843	C₂²⋊D₅	—	4	4	no	—
844	C₂²⋊D₅	—	4	4	no	—
845	C₂²⋊D₅	—	4	4	no	—
846	C₂²⋊D₅	—	8	2	no	—
847	C₂²⋊D₅	—	8	2	no	—
848	C₂×Dic₅	—	2	1	no	—
849	C₂×Dic₅	—	2	1	no	—
850	C₂×Dic₅	—	2	1	no	—
851	C₂×Dic₅	—	2	1	no	—
852	C₂×Dic₅	—	2	1	no	—
853	C₂×Dic₅	—	2	1	no	—
854	C₂×Dic₅	—	2	1	no	—
855	C₂×Dic₅	—	2	1	no	—
856	C₂×Dic₅	—	2	1	no	—
857	C₂×Dic₅	—	2	1	no	—
858	C₂×Dic₅	—	2	1	no	—
859	C₂×Dic₅	—	2	1	no	—
860	C₂×Dic₅	—	2	1	no	—
861	C₂×Dic₅	—	2	1	no	—
862	C₂×Dic₅	—	2	1	no	—
863	C₂×Dic₅	—	2	1	no	—
864	C₂×Dic₅	—	2	1	no	—
865	C₂×Dic₅	—	2	1	no	—
866	C₂×Dic₅	—	2	1	no	—
867	C₂×Dic₅	—	2	1	no	—
868	C₂×Dic₅	—	2	1	no	—
869	C₂×Dic₅	—	2	1	no	—
870	C₂×Dic₅	—	2	1	no	—
871	C₂×Dic₅	—	2	1	no	—
872	C₂×Dic₅	—	2	1	no	—
873	C₂×Dic₅	—	2	1	no	—
874	C₂×Dic₅	—	2	1	no	—
875	C₂×Dic₅	—	2	1	no	—
876	C₂×Dic₅	—	2	1	no	—
877	C₂×Dic₅	—	2	1	no	—
878	C₂×Dic₅	—	2	1	no	—
879	C₂×Dic₅	—	2	1	no	—
880	C₂×Dic₅	—	2	1	no	—
881	C₂×Dic₅	—	2	1	no	—
882	C₂×Dic₅	—	2	1	no	—
883	C₂×Dic₅	—	2	1	no	—
884	C₂×Dic₅	—	2	1	no	—
885	C₂×Dic₅	—	2	1	no	—
886	C₂×Dic₅	—	2	1	no	—
887	C₂×Dic₅	—	8	2	no	—
888	C₂×Dic₅	—	8	2	no	—
889	D₂₀	—	4	4	no	—
890	C₄×D₅	—	4	4	no	—
891	C₄×D₅	—	4	4	no	—
892	C₄×D₅	—	4	4	no	—
893	C₄×D₅	—	4	4	no	—
894	C₄×D₅	—	4	4	no	—
895	C₄×D₅	—	8	2	no	—
896	C₄×D₅	—	8	2	no	—
897	C₂⁵	—	5	1	no	—
898	C₂⁵	—	5	1	no	—
899	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
900	C₂²×D₄	—	5	1	no	—
901	C₂²×D₄	—	5	1	no	—
902	C₂²×D₄	—	5	1	no	—
903	C₂²×D₄	—	5	1	no	—
904	C₂²×D₄	—	5	1	no	—
905	C₂²×D₄	—	5	1	no	—
906	C₂²×D₄	—	10	4	no	—
907	C₂²×D₄	—	20	2	no	—
908	C₂²×D₄	—	20	2	no	—
909	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
910	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
911	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
912	C₂³×C₄	—	5	1	no	—
913	C₂³×C₄	—	5	1	no	—
914	C₂³×C₄	—	5	1	no	—
915	C₂³×C₄	—	5	1	no	—
916	C₂³×C₄	—	5	1	no	—
917	C₂³×C₄	—	5	1	no	—
918	C₂³×C₄	—	5	1	no	—
919	C₂³×C₄	—	5	1	no	—
920	C₂³×C₄	—	5	1	no	—
921	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
922	#126	—	20	2	no	—
923	#124	—	4	2	no	—
924	#123	—	20	2	no	—
925	#123	—	20	2	no	—
926	#123	—	20	2	no	—
927	C₂²⋊Q₈	—	4	2	no	—
928	C₂²⋊Q₈	—	20	2	no	—
929	#121	—	20	2	no	—
930	#121	—	20	2	no	—
931	#120	—	10	4	no	—
932	#120	—	20	2	no	—
933	C₄×D₄	—	20	2	no	—
934	C₂×C₄⋊C₄	—	5	1	no	—
935	C₂×C₄⋊C₄	—	5	1	no	—
936	C₂×C₄⋊C₄	—	5	1	no	—
937	C₂×C₄⋊C₄	—	5	1	no	—
938	C₂×C₄⋊C₄	—	5	1	no	—
939	C₂×C₄⋊C₄	—	5	1	no	—
940	C₂×C₄⋊C₄	—	5	1	no	—
941	C₂×C₄⋊C₄	—	5	1	no	—
942	C₂×C₄⋊C₄	—	5	1	no	—
943	C₂×C₄⋊C₄	—	5	1	no	—
944	C₂×C₄⋊C₄	—	5	1	no	—
945	C₂×C₄⋊C₄	—	5	1	no	—
946	C₂×C₄⋊C₄	—	5	1	no	—
947	C₂×C₄⋊C₄	—	5	1	no	—
948	C₂×C₄⋊C₄	—	5	1	no	—
949	C₂×C₄⋊C₄	—	5	1	no	—
950	C₂×C₄⋊C₄	—	5	1	no	—
951	C₂×C₄⋊C₄	—	5	1	no	—
952	C₂×C₄⋊C₄	—	5	1	no	—
953	C₂×C₄⋊C₄	—	5	1	no	—
954	C₂×C₄⋊C₄	—	20	2	no	—
955	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	—	5	1	no	—
962	C₂×C₂²⋊C₄	—	5	1	no	—
963	C₂×C₂²⋊C₄	—	5	1	no	—
964	C₂×C₂²⋊C₄	—	5	1	no	—
965	C₂×C₂²⋊C₄	—	5	1	no	—
966	C₂×C₂²⋊C₄	—	5	1	no	—
967	C₂×C₂²⋊C₄	—	5	1	no	—
968	C₂×C₂²⋊C₄	—	5	1	no	—
969	C₂×C₂²⋊C₄	—	5	1	no	—
970	C₂×C₂²⋊C₄	—	5	1	no	—
971	C₂×C₂²⋊C₄	—	5	1	no	—
972	C₂×C₂²⋊C₄	—	5	1	no	—
973	C₂×C₂²⋊C₄	—	5	1	no	—
974	C₂×C₂²⋊C₄	—	5	1	no	—
975	C₂×C₂²⋊C₄	—	5	1	no	—
976	C₂×C₂²⋊C₄	—	5	1	no	—
977	C₂×C₂²⋊C₄	—	5	1	no	—
978	C₂×C₂²⋊C₄	—	5	1	no	—
979	C₂×C₂²⋊C₄	—	5	1	no	—
980	C₂×C₂²⋊C₄	—	5	1	no	—
981	C₂×C₂²⋊C₄	—	5	1	no	—
982	C₂×C₂²⋊C₄	—	5	1	no	—
983	C₂×C₂²⋊C₄	—	5	1	no	—
984	C₂×C₂²⋊C₄	—	5	1	no	—
985	C₂×C₂²⋊C₄	—	5	1	no	—
986	C₂×C₂²⋊C₄	—	5	1	no	—
987	C₂×C₂²⋊C₄	—	5	1	no	—
988	C₂×C₂²⋊C₄	—	5	1	no	—
989	C₂×C₂²⋊C₄	—	5	1	no	—
990	C₂×C₂²⋊C₄	—	5	1	no	—
991	C₂×C₂²⋊C₄	—	5	1	no	—
992	C₂×C₂²⋊C₄	—	5	1	no	—
993	C₂×C₂²⋊C₄	—	5	1	no	—
994	C₂×C₂²⋊C₄	—	5	1	no	—
995	C₂×C₂²⋊C₄	—	5	1	no	—
996	C₂×C₂²⋊C₄	—	5	1	no	—
997	C₂×C₂²⋊C₄	—	5	1	no	—
998	C₂×C₂²⋊C₄	—	5	1	no	—
999	C₂×C₂²⋊C₄	—	5	1	no	—
1000	C₂×C₂²⋊C₄	—	5	1	no	—
1001	C₂×C₂²⋊C₄	—	5	1	no	—
1002	C₂×C₂²⋊C₄	—	5	1	no	—
1003	C₂×C₂²⋊C₄	—	10	4	no	—
1004	C₂×C₂²⋊C₄	—	20	2	no	—
1005	C₂×C₂²⋊C₄	—	20	2	no	—
1006	C₂×C₂²⋊C₄	—	20	2	no	—
1007	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1021	C₂×C₄²	—	5	1	no	—
1022	C₂×C₄²	—	5	1	no	—
1023	C₂×C₄²	—	5	1	no	—
1024	C₂×C₄²	—	5	1	no	—
1025	C₂×C₄²	—	5	1	no	—
1026	C₂×C₄²	—	20	2	no	—
1027	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1028	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1029	#95	—	5	1	no	—
1030	#95	—	5	1	no	—
1031	#95	—	5	1	no	—
1032	#95	—	5	1	no	—
1033	#95	—	5	1	no	—
1034	#95	—	5	1	no	—
1035	#95	—	5	1	no	—
1036	#95	—	5	1	no	—
1037	#95	—	5	1	no	—
1038	#95	—	5	1	no	—
1039	#95	—	5	1	no	—
1040	#95	—	5	1	no	—
1041	#95	—	5	1	no	—
1042	#95	—	5	1	no	—
1043	#95	—	5	1	no	—
1044	#95	—	5	1	no	—
1045	#95	—	5	1	no	—
1046	#95	—	5	1	no	—
1047	#95	—	5	1	no	—
1048	#95	—	5	1	no	—
1049	#95	—	5	1	no	—
1050	#95	—	5	1	no	—
1051	#95	—	5	1	no	—
1052	#95	—	5	1	no	—
1053	#95	—	5	1	no	—
1054	#95	—	5	1	no	—
1055	#95	—	5	1	no	—
1056	#95	—	5	1	no	—
1057	#95	—	5	1	no	—
1058	#95	—	5	1	no	—
1059	#95	—	5	1	no	—
1060	#95	—	5	1	no	—
1061	#95	—	5	1	no	—
1062	#95	—	5	1	no	—
1063	#95	—	5	1	no	—
1064	#95	—	5	1	no	—
1065	#95	C₂²×D₅	1	1	yes	characteristic
1066	#95	C₂²×D₅	1	1	yes	characteristic
1067	#95	C₂²×D₅	1	1	yes	characteristic
1068	#95	C₂²×D₅	1	1	yes	characteristic
1069	#95	C₂²×D₅	1	1	yes	characteristic
1070	#95	C₂²×D₅	1	1	yes	characteristic
1071	#95	C₂²×D₅	1	1	yes	characteristic
1072	#95	C₂²×D₅	1	1	yes	characteristic
1073	C₂²×C₅	—	2	2	no	—
1074	C₂²×C₅	—	2	2	no	—
1075	C₂²×C₅	—	2	2	no	—
1076	C₂²×C₅	—	4	1	no	—
1077	C₂²×C₅	—	4	1	no	—
1078	C₂²×C₅	—	4	1	no	—
1079	C₂²×C₅	—	4	1	no	—
1080	C₂²×C₅	—	4	1	no	—
1081	C₂²×C₅	—	4	1	no	—
1082	C₂²×C₅	—	4	1	no	—
1083	C₂²×C₅	—	4	1	no	—
1084	C₂²×C₅	—	4	1	no	—
1085	C₂²×C₅	—	4	1	no	—
1086	C₂²×C₅	—	4	1	no	—
1087	C₂²×C₅	—	4	1	no	—
1088	C₂²×C₅	—	4	1	no	—
1089	C₂²×C₅	—	4	1	no	—
1090	C₂²×C₅	—	4	1	no	—
1091	C₂²×C₅	—	4	1	no	—
1092	C₂²×C₅	—	4	1	no	—
1093	C₂²×C₅	—	4	1	no	—
1094	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1095	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1096	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1097	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1098	C₂²×C₅	#585	1	1	yes	characteristic
1099	C₂²×C₅	#585	1	1	yes	characteristic
1100	C₂²×C₅	#585	1	1	yes	characteristic
1101	C₂×D₅	—	2	2	no	—
1102	C₂×D₅	—	2	2	no	—
1103	C₂×D₅	—	2	2	no	—
1104	C₂×D₅	—	2	2	no	—
1105	C₂×D₅	—	2	2	no	—
1106	C₂×D₅	—	2	2	no	—
1107	C₂×D₅	—	2	2	no	—
1108	C₂×D₅	—	2	2	no	—
1109	C₂×D₅	—	2	2	no	—
1110	C₂×D₅	—	4	1	no	—
1111	C₂×D₅	—	4	1	no	—
1112	C₂×D₅	—	4	1	no	—
1113	C₂×D₅	—	4	1	no	—
1114	C₂×D₅	—	4	1	no	—
1115	C₂×D₅	—	4	1	no	—
1116	C₂×D₅	—	4	1	no	—
1117	C₂×D₅	—	4	1	no	—
1118	C₂×D₅	—	4	1	no	—
1119	C₂×D₅	—	4	1	no	—
1120	C₂×D₅	—	4	1	no	—
1121	C₂×D₅	—	8	8	no	—
1122	C₂×D₅	—	8	8	no	—
1123	C₂×D₅	#538	1	4	yes	—
1124	C₄×C₅	—	2	2	no	—
1125	C₄×C₅	—	4	1	no	—
1126	C₄×C₅	—	4	1	no	—
1127	C₄×C₅	—	4	1	no	—
1128	C₄×C₅	—	4	1	no	—
1129	C₄×C₅	—	4	1	no	—
1130	C₄×C₅	—	4	1	no	—
1131	C₄×C₅	—	4	1	no	—
1132	C₄×C₅	—	4	1	no	—
1133	C₄×C₅	—	4	1	no	—
1134	C₄×C₅	—	4	1	no	—
1135	C₄×C₅	—	4	1	no	—
1136	Dic₅	—	4	1	no	—
1137	Dic₅	—	4	1	no	—
1138	Dic₅	—	4	1	no	—
1139	Dic₅	—	4	1	no	—
1140	Dic₅	—	4	1	no	—
1141	Dic₅	—	4	1	no	—
1142	Dic₅	—	4	1	no	—
1143	Dic₅	—	4	1	no	—
1144	Dic₅	—	4	1	no	—
1145	Dic₅	—	4	1	no	—
1146	Dic₅	—	4	1	no	—
1147	Dic₅	—	4	1	no	—
1148	Dic₅	—	4	1	no	—
1149	C₂⁴	—	5	1	no	—
1150	C₂⁴	—	5	1	no	—
1151	C₂⁴	—	5	4	no	—
1152	C₂⁴	—	5	1	no	—
1153	C₂⁴	—	10	2	no	—
1154	C₂⁴	—	10	2	no	—
1155	C₂⁴	—	10	2	no	—
1156	C₂⁴	—	20	1	no	—
1157	C₂⁴	—	20	1	no	—
1158	C₂⁴	—	20	1	no	—
1159	C₂⁴	—	20	1	no	—
1160	C₂⁴	—	20	1	no	—
1161	C₂⁴	—	20	1	no	—
1162	C₂⁴	—	20	1	no	—
1163	C₂⁴	—	20	1	no	—
1164	C₂⁴	—	20	1	no	—
1165	C₂⁴	—	20	1	no	—
1166	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1167	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1168	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1169	C₂×Q₈	—	2	2	no	—
1170	C₂×Q₈	—	4	1	no	—
1171	C₂×Q₈	—	4	1	no	—
1172	C₂×D₄	—	2	2	no	—
1173	C₂×D₄	—	2	2	no	—
1174	C₂×D₄	—	2	2	no	—
1175	C₂×D₄	—	4	1	no	—
1176	C₂×D₄	—	4	1	no	—
1177	C₂×D₄	—	4	1	no	—
1178	C₂×D₄	—	4	1	no	—
1179	C₂×D₄	—	4	1	no	—
1180	C₂×D₄	—	4	1	no	—
1181	C₂×D₄	—	10	2	no	—
1182	C₂×D₄	—	10	2	no	—
1183	C₂×D₄	—	10	2	no	—
1184	C₂×D₄	—	10	2	no	—
1185	C₂×D₄	—	10	2	no	—
1186	C₂×D₄	—	10	2	no	—
1187	C₂×D₄	—	10	2	no	—
1188	C₂×D₄	—	10	2	no	—
1189	C₂×D₄	—	10	2	no	—
1190	C₂×D₄	—	10	2	no	—
1191	C₂×D₄	—	10	2	no	—
1192	C₂×D₄	—	20	1	no	—
1193	C₂×D₄	—	20	1	no	—
1194	C₂×D₄	—	20	1	no	—
1195	C₂×D₄	—	20	1	no	—
1196	C₂×D₄	—	20	1	no	—
1197	C₂×D₄	—	20	1	no	—
1198	C₂×D₄	—	20	1	no	—
1199	C₂×D₄	—	20	16	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	5	1	no	—
1204	C₂²×C₄	—	5	1	no	—
1205	C₂²×C₄	—	5	1	no	—
1206	C₂²×C₄	—	5	1	no	—
1207	C₂²×C₄	—	5	1	no	—
1208	C₂²×C₄	—	5	1	no	—
1209	C₂²×C₄	—	5	1	no	—
1210	C₂²×C₄	—	5	1	no	—
1211	C₂²×C₄	—	5	1	no	—
1212	C₂²×C₄	—	5	1	no	—
1213	C₂²×C₄	—	5	1	no	—
1214	C₂²×C₄	—	5	1	no	—
1215	C₂²×C₄	—	5	1	no	—
1216	C₂²×C₄	—	10	2	no	—
1217	C₂²×C₄	—	10	2	no	—
1218	C₂²×C₄	—	10	2	no	—
1219	C₂²×C₄	—	10	2	no	—
1220	C₂²×C₄	—	10	2	no	—
1221	C₂²×C₄	—	10	2	no	—
1222	C₂²×C₄	—	10	2	no	—
1223	C₂²×C₄	—	10	2	no	—
1224	C₂²×C₄	—	10	2	no	—
1225	C₂²×C₄	—	10	2	no	—
1226	C₂²×C₄	—	20	1	no	—
1227	C₂²×C₄	—	20	1	no	—
1228	C₂²×C₄	—	20	1	no	—
1229	C₂²×C₄	—	20	1	no	—
1230	C₂²×C₄	—	20	1	no	—
1231	C₂²×C₄	—	20	1	no	—
1232	C₂²×C₄	—	20	1	no	—
1233	C₂²×C₄	—	20	1	no	—
1234	C₂²×C₄	—	20	1	no	—
1235	C₂²×C₄	—	20	1	no	—
1236	C₂²×C₄	—	20	1	no	—
1237	C₂²×C₄	—	20	1	no	—
1238	C₂²×C₄	—	20	1	no	—
1239	C₂²×C₄	—	20	1	no	—
1240	C₂²×C₄	—	20	1	no	—
1241	C₂²×C₄	—	20	1	no	—
1242	C₂²×C₄	—	20	1	no	—
1243	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1244	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1245	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1255	C₄⋊C₄	—	2	2	no	—
1256	C₄⋊C₄	—	4	1	no	—
1257	C₄⋊C₄	—	4	1	no	—
1258	C₄⋊C₄	—	4	1	no	—
1259	C₄⋊C₄	—	4	1	no	—
1260	C₄⋊C₄	—	4	1	no	—
1261	C₄⋊C₄	—	20	1	no	—
1262	C₄⋊C₄	—	20	1	no	—
1263	C₄⋊C₄	—	20	1	no	—
1264	C₄⋊C₄	—	20	1	no	—
1265	C₄⋊C₄	—	20	1	no	—
1266	C₄⋊C₄	—	20	1	no	—
1267	C₄⋊C₄	—	20	1	no	—
1268	C₄⋊C₄	—	20	1	no	—
1269	C₄⋊C₄	—	20	1	no	—
1270	C₄⋊C₄	—	20	1	no	—
1271	C₄⋊C₄	—	20	1	no	—
1272	C₄⋊C₄	—	20	1	no	—
1273	C₄⋊C₄	—	20	1	no	—
1274	C₄⋊C₄	—	20	1	no	—
1275	C₄⋊C₄	—	20	1	no	—
1276	C₄⋊C₄	—	20	1	no	—
1277	C₄⋊C₄	—	20	1	no	—
1278	C₄⋊C₄	—	20	1	no	—
1279	C₄⋊C₄	—	20	1	no	—
1280	C₄⋊C₄	—	20	1	no	—
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	4	1	no	—
1284	C₂²⋊C₄	—	4	1	no	—
1285	C₂²⋊C₄	—	4	1	no	—
1286	C₂²⋊C₄	—	4	1	no	—
1287	C₂²⋊C₄	—	4	1	no	—
1288	C₂²⋊C₄	—	4	1	no	—
1289	C₂²⋊C₄	—	4	1	no	—
1290	C₂²⋊C₄	—	4	1	no	—
1291	C₂²⋊C₄	—	4	1	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	10	2	no	—
1296	C₂²⋊C₄	—	10	2	no	—
1297	C₂²⋊C₄	—	10	2	no	—
1298	C₂²⋊C₄	—	10	2	no	—
1299	C₂²⋊C₄	—	10	2	no	—
1300	C₂²⋊C₄	—	10	2	no	—
1301	C₂²⋊C₄	—	10	2	no	—
1302	C₂²⋊C₄	—	10	2	no	—
1303	C₂²⋊C₄	—	10	2	no	—
1304	C₂²⋊C₄	—	10	2	no	—
1305	C₂²⋊C₄	—	10	2	no	—
1306	C₂²⋊C₄	—	10	2	no	—
1307	C₂²⋊C₄	—	20	1	no	—
1308	C₂²⋊C₄	—	20	1	no	—
1309	C₂²⋊C₄	—	20	1	no	—
1310	C₂²⋊C₄	—	20	1	no	—
1311	C₂²⋊C₄	—	20	1	no	—
1312	C₂²⋊C₄	—	20	1	no	—
1313	C₂²⋊C₄	—	20	1	no	—
1314	C₂²⋊C₄	—	20	1	no	—
1315	C₂²⋊C₄	—	20	1	no	—
1316	C₂²⋊C₄	—	20	1	no	—
1317	C₂²⋊C₄	—	20	1	no	—
1318	C₂²⋊C₄	—	20	1	no	—
1319	C₂²⋊C₄	—	20	1	no	—
1320	C₂²⋊C₄	—	20	1	no	—
1321	C₂²⋊C₄	—	20	1	no	—
1322	C₂²⋊C₄	—	20	1	no	—
1323	C₂²⋊C₄	—	20	1	no	—
1324	C₂²⋊C₄	—	20	1	no	—
1325	C₂²⋊C₄	—	20	1	no	—
1326	C₂²⋊C₄	—	20	1	no	—
1327	C₂²⋊C₄	—	20	1	no	—
1328	C₂²⋊C₄	—	20	1	no	—
1329	C₂²⋊C₄	—	20	1	no	—
1330	C₂²⋊C₄	—	20	1	no	—
1331	C₂²⋊C₄	—	20	1	no	—
1332	C₂²⋊C₄	—	20	1	no	—
1333	C₂²⋊C₄	—	20	1	no	—
1334	C₂²⋊C₄	—	20	1	no	—
1335	C₂²⋊C₄	—	20	1	no	—
1336	C₂²⋊C₄	—	20	1	no	—
1337	C₄²	—	2	2	no	—
1338	C₄²	—	4	1	no	—
1339	C₄²	—	10	2	no	—
1340	C₄²	—	20	1	no	—
1341	C₄²	—	20	1	no	—
1342	C₄²	—	20	1	no	—
1343	C₄²	—	20	1	no	—
1344	C₂×C₅	—	4	2	no	—
1345	C₂×C₅	—	8	1	no	—
1346	C₂×C₅	—	8	1	no	—
1347	C₂×C₅	C₂×#538	1	1	yes	characteristic
1348	C₂×C₅	#3491	1	1	yes	characteristic
1349	C₂×C₅	#3505	1	1	yes	characteristic
1350	C₂×C₅	#3534	1	1	yes	characteristic
1351	C₂×C₅	#3542	1	1	yes	characteristic
1352	C₂×C₅	#3545	1	1	yes	characteristic
1353	C₂×C₅	#3560	1	1	yes	characteristic
1354	D₅	—	2	4	no	—
1355	D₅	—	4	2	no	—
1356	D₅	—	8	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	5	2	no	—
1378	C₂³	—	5	2	no	—
1379	C₂³	—	5	2	no	—
1380	C₂³	—	5	2	no	—
1381	C₂³	—	10	8	no	—
1382	C₂³	—	10	1	no	—
1383	C₂³	—	10	1	no	—
1384	C₂³	—	10	1	no	—
1385	C₂³	—	10	1	no	—
1386	C₂³	—	10	1	no	—
1387	C₂³	—	10	1	no	—
1388	C₂³	—	10	1	no	—
1389	C₂³	—	10	1	no	—
1390	C₂³	—	10	1	no	—
1391	C₂³	—	10	1	no	—
1392	C₂³	—	10	1	no	—
1393	C₂³	—	10	1	no	—
1394	C₂³	—	10	1	no	—
1395	C₂³	—	10	1	no	—
1396	C₂³	—	10	1	no	—
1397	C₂³	—	10	1	no	—
1398	C₂³	—	10	1	no	—
1399	C₂³	—	20	4	no	—
1400	C₂³	—	20	4	no	—
1401	C₂³	—	20	4	no	—
1402	C₂³	—	40	2	no	—
1403	C₂³	—	40	2	no	—
1404	C₂³	—	40	2	no	—
1405	C₂³	—	40	2	no	—
1406	C₂³	—	40	2	no	—
1407	C₂³	—	40	2	no	—
1408	C₂³	—	40	2	no	—
1409	C₂³	—	40	2	no	—
1410	C₂³	—	40	2	no	—
1411	C₂³	—	40	2	no	—
1412	C₂³	D₅×#41	1	2	yes	—
1413	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1414	Q₈	—	8	2	no	—
1415	D₄	—	4	4	no	—
1416	D₄	—	8	2	no	—
1417	D₄	—	8	2	no	—
1418	D₄	—	20	4	no	—
1419	D₄	—	20	4	no	—
1420	D₄	—	20	4	no	—
1421	D₄	—	20	4	no	—
1422	D₄	—	40	2	no	—
1423	D₄	—	40	2	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	8	2	no	—
1460	C₂×C₄	—	10	1	no	—
1461	C₂×C₄	—	10	1	no	—
1462	C₂×C₄	—	10	1	no	—
1463	C₂×C₄	—	10	1	no	—
1464	C₂×C₄	—	10	1	no	—
1465	C₂×C₄	—	10	1	no	—
1466	C₂×C₄	—	10	1	no	—
1467	C₂×C₄	—	10	1	no	—
1468	C₂×C₄	—	10	1	no	—
1469	C₂×C₄	—	10	1	no	—
1470	C₂×C₄	—	10	1	no	—
1471	C₂×C₄	—	10	1	no	—
1472	C₂×C₄	—	10	1	no	—
1473	C₂×C₄	—	10	1	no	—
1474	C₂×C₄	—	10	1	no	—
1475	C₂×C₄	—	10	1	no	—
1476	C₂×C₄	—	10	1	no	—
1477	C₂×C₄	—	10	1	no	—
1478	C₂×C₄	—	10	1	no	—
1479	C₂×C₄	—	10	1	no	—
1480	C₂×C₄	—	10	1	no	—
1481	C₂×C₄	—	10	1	no	—
1482	C₂×C₄	—	10	1	no	—
1483	C₂×C₄	—	10	1	no	—
1484	C₂×C₄	—	10	1	no	—
1485	C₂×C₄	—	10	1	no	—
1486	C₂×C₄	—	10	1	no	—
1487	C₂×C₄	—	10	1	no	—
1488	C₂×C₄	—	10	1	no	—
1489	C₂×C₄	—	10	1	no	—
1490	C₂×C₄	—	10	1	no	—
1491	C₂×C₄	—	10	1	no	—
1492	C₂×C₄	—	10	1	no	—
1493	C₂×C₄	—	10	1	no	—
1494	C₂×C₄	—	10	1	no	—
1495	C₂×C₄	—	10	1	no	—
1496	C₂×C₄	—	10	1	no	—
1497	C₂×C₄	—	10	1	no	—
1498	C₂×C₄	—	10	1	no	—
1499	C₂×C₄	—	20	4	no	—
1500	C₂×C₄	—	20	4	no	—
1501	C₂×C₄	—	20	4	no	—
1502	C₂×C₄	—	20	4	no	—
1503	C₂×C₄	—	20	4	no	—
1504	C₂×C₄	—	40	2	no	—
1505	C₂×C₄	—	40	2	no	—
1506	C₂×C₄	—	40	2	no	—
1507	C₂×C₄	—	40	2	no	—
1508	C₂×C₄	#4144	1	2	yes	—
1509	C₅	#36779	1	1	yes	characteristic, complemented, Sylow
1510	C₂²	—	2	2	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	2	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	5	4	no	—
1532	C₂²	—	10	2	no	—
1533	C₂²	—	10	2	no	—
1534	C₂²	—	10	2	no	—
1535	C₂²	—	10	2	no	—
1536	C₂²	—	10	2	no	—
1537	C₂²	—	10	2	no	—
1538	C₂²	—	10	2	no	—
1539	C₂²	—	10	2	no	—
1540	C₂²	—	10	2	no	—
1541	C₂²	—	20	1	no	—
1542	C₂²	—	20	1	no	—
1543	C₂²	—	20	1	no	—
1544	C₂²	—	20	1	no	—
1545	C₂²	—	20	1	no	—
1546	C₂²	—	20	1	no	—
1547	C₂²	—	20	1	no	—
1548	C₂²	—	20	1	no	—
1549	C₂²	—	20	1	no	—
1550	C₂²	—	20	1	no	—
1551	C₂²	—	20	1	no	—
1552	C₂²	—	40	8	no	—
1553	C₂²	—	40	8	no	—
1554	C₂²	C₂×#4144	1	1	yes	characteristic
1555	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1556	C₂²	#66283	1	1	yes	characteristic
1557	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1558	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1559	C₂²	#66285	1	1	yes	characteristic
1560	C₂²	#66287	1	1	yes	characteristic
1561	C₄	—	2	2	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	4	1	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	20	1	no	—
1574	C₄	—	20	1	no	—
1575	C₄	—	20	1	no	—
1576	C₄	—	20	1	no	—
1577	C₄	—	20	1	no	—
1578	C₄	—	20	1	no	—
1579	C₄	—	20	1	no	—
1580	C₄	—	20	1	no	—
1581	C₄	—	20	1	no	—
1582	C₄	—	20	1	no	—
1583	C₄	—	20	1	no	—
1584	C₄	—	20	1	no	—
1585	C₄	—	20	1	no	—
1586	C₂	—	4	2	no	—
1587	C₂	—	8	1	no	—
1588	C₂	—	8	1	no	—
1589	C₂	—	10	4	no	—
1590	C₂	—	20	2	no	—
1591	C₂	—	40	1	no	—
1592	C₂	#10618212	1	1	yes	characteristic
1593	C₂	D₅×#538	1	1	yes	characteristic
1594	C₂	#10618469	1	1	yes	characteristic
1595	C₂	#10618639	1	1	yes	characteristic
1596	C₂	#10618679	1	1	yes	characteristic
1597	C₂	#10618717	1	1	yes	characteristic
1598	C₂	#10619012	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2730	C₂
prime radical	#10608486	C₂
hypercenter	#2730	D₅
hypocenter	C₅	#36779
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2730

Complements

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

N	H ≅ G/N	type
1. C₅×#2730	C₂	semidirect
2. #10614739	C₂	semidirect
3. #10614736	C₂	semidirect
4. #10614547	C₂	semidirect
5. #10614532	C₂	semidirect
6. #10609851	C₂	semidirect
7. #10609840	C₂	semidirect
8. #10609451	C₂	semidirect
9. #10609405	C₂	semidirect
10. #10609154	C₂	semidirect
11. #10609106	C₂	semidirect
12. #10608874	C₂	semidirect
13. #10608846	C₂	semidirect
14. #10608837	C₂	semidirect
15. #10608781	C₂	semidirect
17. #10608464	C₂	semidirect
18. #10608360	C₂	semidirect
19. #10608318	C₂	semidirect
20. #10608160	C₂	semidirect
21. #10608141	C₂	semidirect
22. #10607664	C₂	semidirect
23. #10607601	C₂	semidirect
24. D₅×#388	C₂	semidirect
25. #10607505	C₂	semidirect
26. #10607177	C₂	semidirect
27. #10607162	C₂	semidirect
28. #10606621	C₂	semidirect
29. #10606605	C₂	semidirect
30. #10606590	C₂	semidirect
31. #10606585	C₂	semidirect
33. C₂×C₅×#124	C₂²	semidirect
34. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
35. C₂×#4092	C₂²	semidirect
40. C₂×#4044	C₂²	semidirect
42. C₂×D₅×C₄⋊C₄	C₂²	semidirect
45. C₂×#4029	C₂²	semidirect
46. C₂×#4027	C₂²	semidirect
50. C₂×C₄²×D₅	C₂²	semidirect
51. C₅×#399	C₂²	semidirect
52. C₅×#397	C₂²	semidirect
53. C₅×#396	C₂²	semidirect
55. C₅×#394	C₂²	semidirect
57. C₅×#391	C₂²	semidirect
58. C₅×#390	C₂²	semidirect
59. C₅×#388	C₂²	semidirect
60. C₅×#388	C₂²	semidirect
61. C₅×#387	C₂²	semidirect
63. C₅×#386	C₂²	semidirect
65. #65520	C₂²	semidirect
66. #65519	C₂²	semidirect
70. #65510	C₂²	semidirect
72. #65509	C₂²	semidirect
73. #65509	C₂²	semidirect
74. #65509	C₂²	semidirect
76. #65501	C₂²	semidirect
77. #65499	C₂²	semidirect
80. #65283	C₂²	semidirect
81. #65283	C₂²	semidirect
85. #65279	C₂²	semidirect
86. #65279	C₂²	semidirect
88. #65278	C₂²	semidirect
89. #65278	C₂²	semidirect
90. #65278	C₂²	semidirect
91. #65276	C₂²	semidirect
92. #65275	C₂²	semidirect
93. #65274	C₂²	semidirect
94. #65273	C₂²	semidirect
95. #65273	C₂²	semidirect
96. #65273	C₂²	semidirect
97. #65271	C₂²	semidirect
98. #65271	C₂²	semidirect
102. #65250	C₂²	semidirect
105. #65248	C₂²	semidirect
106. #65248	C₂²	semidirect
109. #65247	C₂²	semidirect
116. #65245	C₂²	semidirect
117. #65245	C₂²	semidirect
124. #65242	C₂²	semidirect
125. #65242	C₂²	semidirect
126. #65241	C₂²	semidirect
127. #65241	C₂²	semidirect
128. #65241	C₂²	semidirect
129. #65240	C₂²	semidirect
130. #65240	C₂²	semidirect
131. #65239	C₂²	semidirect
132. #65238	C₂²	semidirect
133. #65237	C₂²	semidirect
134. #65237	C₂²	semidirect
135. #65234	C₂²	semidirect
136. #65234	C₂²	semidirect
137. #65234	C₂²	semidirect
138. #65233	C₂²	semidirect
139. #65233	C₂²	semidirect
140. #65233	C₂²	semidirect
141. #65233	C₂²	semidirect
142. #65233	C₂²	semidirect
143. #65233	C₂²	semidirect
144. #65232	C₂²	semidirect
145. #65231	C₂²	semidirect
146. #65231	C₂²	semidirect
147. #65231	C₂²	semidirect
150. #65229	C₂²	semidirect
151. #65229	C₂²	semidirect
152. C₄×#685	C₂²	semidirect
153. #65226	C₂²	semidirect
154. #65225	C₂²	semidirect
156. #64964	C₂²	semidirect
157. #64964	C₂²	semidirect
160. #64959	C₂²	semidirect
162. #64958	C₂²	semidirect
165. #64957	C₂²	semidirect
172. #64953	C₂²	semidirect
173. D₅×#95	C₂²	semidirect
174. D₅×#95	C₂²	semidirect
175. C₅⋊#401	C₂²	semidirect
176. #64949	C₂²	semidirect
177. #64948	C₂²	semidirect
178. #64947	C₂²	semidirect
179. #64946	C₂²	semidirect
180. #64946	C₂²	semidirect
181. #64944	C₂²	semidirect
182. #64943	C₂²	semidirect
183. #64941	C₂²	semidirect
184. #64941	C₂²	semidirect
185. #64940	C₂²	semidirect
186. #64939	C₂²	semidirect
378. #2730	D₅	semidirect
592. C₂×#124	C₂×D₅	semidirect
597. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
618. #399	C₂×D₅	semidirect
633. #397	C₂×D₅	semidirect
640. #396	C₂×D₅	semidirect
652. #394	C₂×D₅	semidirect
658. #391	C₂×D₅	semidirect
661. #390	C₂×D₅	semidirect
686. #388	C₂×D₅	semidirect
687. #388	C₂×D₅	semidirect
692. #387	C₂×D₅	semidirect
713. #386	C₂×D₅	semidirect
1509. C₅	#36779	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2730	2
#10614739	2
#10614736	2
#10614547	2
#10614532	2
#10609851	2
#10609840	2
#10609451	2
#10609405	2
#10609154	2
#10609106	2
#10608874	2
#10608846	2
#10608837	2
#10608781	2
#10608486	2
#10608464	2
#10608360	2
#10608318	2
#10608160	2
#10608141	2
#10607664	2
#10607601	2
D₅×#388	2
#10607505	2
#10607177	2
#10607162	2
#10606621	2
#10606605	2
#10606590	2
#10606585	2
#36779	5