Subgroups — #12272633

Order 1280.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2653	C₂	1	1	yes	maximal, characteristic, complemented
2	#10610161	C₂	1	1	yes	maximal, characteristic, complemented
3	#10610146	C₂	1	1	yes	maximal, characteristic, complemented
4	#10609690	C₂	1	1	yes	maximal, characteristic, complemented
5	#10609510	C₂	1	1	yes	maximal, characteristic, complemented
6	#10609401	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609261	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609260	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609213	C₂	1	1	yes	maximal, characteristic, complemented
10	#10608850	C₂	1	1	yes	maximal, characteristic
11	#10608843	C₂	1	1	yes	maximal, characteristic
12	#10608692	C₂	1	1	yes	maximal, characteristic, complemented
13	#10608668	C₂	1	1	yes	maximal, characteristic, complemented
14	#10608600	C₂	1	1	yes	maximal, characteristic, complemented
15	#10608599	C₂	1	1	yes	maximal, characteristic, complemented
16	#10608520	C₂	1	1	yes	maximal, characteristic, complemented
17	#10608515	C₂	1	1	yes	maximal, characteristic, complemented
18	#10608375	C₂	1	1	yes	maximal, characteristic, complemented
19	#10608210	C₂	1	1	yes	maximal, characteristic, complemented
20	#10607556	C₂	1	1	yes	maximal, characteristic, complemented
21	D₅×#388	C₂	1	1	yes	maximal, characteristic, complemented
22	#10607553	C₂	1	1	yes	maximal, characteristic, complemented
23	#10607391	C₂	1	1	yes	maximal, characteristic, complemented
24	#10607027	C₂	1	1	yes	maximal, characteristic, complemented
25	#10607025	C₂	1	1	yes	maximal, characteristic, complemented
26	#10606607	C₂	1	1	yes	maximal, characteristic
27	#10606601	C₂	1	1	yes	maximal, characteristic, complemented
28	#10606324	C₂	1	1	yes	maximal, characteristic, complemented
29	#10606319	C₂	1	1	yes	maximal, characteristic, complemented
30	#10605341	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#4027	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4092	C₂²	1	1	yes	characteristic
33	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4083	C₂²	1	1	yes	characteristic
35	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
38	C₂×#4032	C₂²	1	1	yes	characteristic
39	C₂×#4029	C₂²	1	1	yes	characteristic
40	C₂×#4027	C₂²	1	1	yes	characteristic
41	C₂×#4027	C₂²	1	1	yes	characteristic
42	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	C₂×#4025	C₂²	1	1	yes	characteristic
46	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
47	C₅×#401	C₂²	1	1	yes	characteristic, complemented
48	C₅×#398	C₂²	1	1	yes	characteristic, complemented
49	C₅×#397	C₂²	1	1	yes	characteristic
50	C₅×#397	C₂²	1	1	yes	characteristic, complemented
51	C₅×#394	C₂²	1	1	yes	characteristic
52	C₅×#394	C₂²	1	1	yes	characteristic
53	C₅×#393	C₂²	1	1	yes	characteristic
54	C₅×#393	C₂²	1	1	yes	characteristic, complemented
55	C₅×#391	C₂²	1	1	yes	characteristic, complemented
56	C₅×#388	C₂²	1	1	yes	characteristic
57	C₅×#388	C₂²	1	1	yes	characteristic
58	C₅×#387	C₂²	1	1	yes	characteristic, complemented
59	C₅×#386	C₂²	1	1	yes	characteristic
60	C₅×#385	C₂²	1	1	yes	characteristic, complemented
61	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
62	#65520	C₂²	1	1	yes	characteristic
63	#65518	C₂²	1	1	yes	characteristic, complemented
64	#65510	C₂²	1	1	yes	characteristic
65	#65509	C₂²	1	1	yes	characteristic
66	#65509	C₂²	1	1	yes	characteristic
67	#65502	C₂²	1	1	yes	characteristic
68	#65499	C₂²	1	1	yes	characteristic, complemented
69	#65283	C₂²	1	1	yes	characteristic
70	#65279	C₂²	1	1	yes	characteristic
71	#65279	C₂²	1	1	yes	characteristic
72	#65279	C₂²	1	1	yes	characteristic
73	#65279	C₂²	1	1	yes	characteristic
74	#65278	C₂²	1	1	yes	characteristic
75	#65276	C₂²	1	1	yes	characteristic
76	#65276	C₂²	1	1	yes	characteristic
77	#65276	C₂²	1	1	yes	characteristic
78	#65275	C₂²	1	1	yes	characteristic, complemented
79	#65270	C₂²	1	1	yes	characteristic, complemented
80	#65270	C₂²	1	1	yes	characteristic, complemented
81	#65270	C₂²	1	1	yes	characteristic, complemented
82	#65270	C₂²	1	1	yes	characteristic, complemented
83	#65267	C₂²	1	1	yes	characteristic, complemented
84	#65267	C₂²	1	1	yes	characteristic, complemented
85	#65267	C₂²	1	1	yes	characteristic, complemented
86	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
87	#65262	C₂²	1	1	yes	characteristic, complemented
88	#65250	C₂²	1	1	yes	characteristic
89	#65248	C₂²	1	1	yes	characteristic
90	#65247	C₂²	1	1	yes	characteristic
91	#65246	C₂²	1	1	yes	characteristic
92	#65245	C₂²	1	1	yes	characteristic
93	#65245	C₂²	1	1	yes	characteristic
94	#65244	C₂²	1	1	yes	characteristic
95	#65244	C₂²	1	1	yes	characteristic
96	#65244	C₂²	1	1	yes	characteristic
97	#65242	C₂²	1	1	yes	characteristic
98	#65241	C₂²	1	1	yes	characteristic
99	#65241	C₂²	1	1	yes	characteristic, complemented
100	#65240	C₂²	1	1	yes	characteristic
101	#65240	C₂²	1	1	yes	characteristic
102	#65240	C₂²	1	1	yes	characteristic
103	#65240	C₂²	1	1	yes	characteristic
104	#65240	C₂²	1	1	yes	characteristic, complemented
105	#65239	C₂²	1	1	yes	characteristic, complemented
106	#65238	C₂²	1	1	yes	characteristic
107	#65238	C₂²	1	1	yes	characteristic, complemented
108	#65237	C₂²	1	1	yes	characteristic
109	#65235	C₂²	1	1	yes	characteristic, complemented
110	#65235	C₂²	1	1	yes	characteristic, complemented
111	#65234	C₂²	1	1	yes	characteristic
112	#65234	C₂²	1	1	yes	characteristic
113	#65234	C₂²	1	1	yes	characteristic
114	#65233	C₂²	1	1	yes	characteristic
115	#65233	C₂²	1	1	yes	characteristic
116	#65233	C₂²	1	1	yes	characteristic
117	#65233	C₂²	1	1	yes	characteristic
118	#65233	C₂²	1	1	yes	characteristic
119	#65233	C₂²	1	1	yes	characteristic
120	#65233	C₂²	1	1	yes	characteristic, complemented
121	#65232	C₂²	1	1	yes	characteristic, complemented
122	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
123	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
124	#65229	C₂²	1	1	yes	characteristic
125	#65229	C₂²	1	1	yes	characteristic
126	C₄×#685	C₂²	1	1	yes	characteristic
127	#65222	C₂²	1	1	yes	characteristic, complemented
128	C₄×#683	C₂²	1	1	yes	characteristic, complemented
129	C₄²×Dic₅	C₂²	1	1	yes	characteristic, complemented
130	#65217	C₂²	1	1	yes	characteristic, complemented
131	#64965	C₂²	1	1	yes	characteristic
132	#64964	C₂²	1	1	yes	characteristic
133	#64964	C₂²	1	1	yes	characteristic
134	#64963	C₂²	1	1	yes	characteristic
135	#64959	C₂²	1	1	yes	characteristic
136	#64959	C₂²	1	1	yes	characteristic
137	#64959	C₂²	1	1	yes	characteristic
138	#64959	C₂²	1	1	yes	characteristic
139	#64958	C₂²	1	1	yes	characteristic
140	#64958	C₂²	1	1	yes	characteristic
141	#64958	C₂²	1	1	yes	characteristic
142	#64958	C₂²	1	1	yes	characteristic
143	#64958	C₂²	1	1	yes	characteristic
144	#64958	C₂²	1	1	yes	characteristic
145	#64957	C₂²	1	1	yes	characteristic
146	#64957	C₂²	1	1	yes	characteristic
147	#64957	C₂²	1	1	yes	characteristic
148	#64956	C₂²	1	1	yes	characteristic
149	#64956	C₂²	1	1	yes	characteristic
150	#64955	C₂²	1	1	yes	characteristic
151	#64955	C₂²	1	1	yes	characteristic
152	#64955	C₂²	1	1	yes	characteristic
153	#64955	C₂²	1	1	yes	characteristic
154	#64953	C₂²	1	1	yes	characteristic
155	#64953	C₂²	1	1	yes	characteristic
156	#64953	C₂²	1	1	yes	characteristic
157	D₅×#95	C₂²	1	1	yes	characteristic
158	D₅×#95	C₂²	1	1	yes	characteristic
159	#64950	C₂²	1	1	yes	characteristic, complemented
160	#64949	C₂²	1	1	yes	characteristic, complemented
161	#64949	C₂²	1	1	yes	characteristic, complemented
162	#64949	C₂²	1	1	yes	characteristic, complemented
163	#64948	C₂²	1	1	yes	characteristic, complemented
164	#64947	C₂²	1	1	yes	characteristic, complemented
165	#64947	C₂²	1	1	yes	characteristic, complemented
166	#64946	C₂²	1	1	yes	characteristic, complemented
167	#64944	C₂²	1	1	yes	characteristic, complemented
168	#64944	C₂²	1	1	yes	characteristic, complemented
169	#64944	C₂²	1	1	yes	characteristic, complemented
170	#64944	C₂²	1	1	yes	characteristic, complemented
171	#64943	C₂²	1	1	yes	characteristic, complemented
172	#64943	C₂²	1	1	yes	characteristic, complemented
173	#64943	C₂²	1	1	yes	characteristic, complemented
174	#64942	C₂²	1	1	yes	characteristic, complemented
175	#64942	C₂²	1	1	yes	characteristic, complemented
176	#64942	C₂²	1	1	yes	characteristic, complemented
177	#64942	C₂²	1	1	yes	characteristic, complemented
178	#64941	C₂²	1	1	yes	characteristic, complemented
179	#64941	C₂²	1	1	yes	characteristic, complemented
180	#64941	C₂²	1	1	yes	characteristic, complemented
181	#64940	C₂²	1	1	yes	characteristic, complemented
182	#64938	C₂²	1	1	yes	characteristic, complemented
183	#64938	C₂²	1	1	yes	characteristic, complemented
184	#64938	C₂²	1	1	yes	characteristic, complemented
185	#64938	C₂²	1	1	yes	characteristic, complemented
186	#64936	C₂²	1	1	yes	characteristic, complemented
187	#35027	—	5	1	no	maximal, Sylow
188	C₂⁴×D₅	C₂³	1	1	yes	characteristic
189	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
194	C₂³×Dic₅	C₂³	1	1	yes	characteristic
195	C₂³×Dic₅	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₅	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
231	#4092	—	2	4	no	—
232	Q₈×Dic₅	—	4	2	no	—
233	#4083	—	2	4	no	—
234	C₄×C₂²⋊D₅	—	2	4	no	—
235	C₂×#685	C₂³	1	1	yes	characteristic
236	C₂×#685	C₂³	1	1	yes	characteristic
237	C₂×#685	C₂³	1	1	yes	characteristic
238	C₂×#685	C₂³	1	1	yes	characteristic
239	C₂×#685	C₂³	1	1	yes	characteristic
240	C₂×#685	C₂³	1	1	yes	characteristic
241	C₂×#685	C₂³	1	1	yes	characteristic
242	C₂×#685	C₂³	1	1	yes	characteristic
243	C₂×#685	C₂³	1	1	yes	characteristic
244	C₂×#685	C₂³	1	1	yes	characteristic
245	C₂×#685	C₂³	1	1	yes	characteristic
246	C₂×#685	C₂³	1	1	yes	characteristic
247	C₂×#685	C₂³	1	1	yes	characteristic
248	C₂×#685	C₂³	1	1	yes	characteristic
249	C₂×#685	C₂³	1	1	yes	characteristic
250	C₂×#685	C₂³	1	1	yes	characteristic
251	C₂×#685	C₂³	1	1	yes	characteristic
252	C₂×#685	C₂³	1	1	yes	characteristic
253	C₂×#685	C₂³	1	1	yes	characteristic
254	C₂×#685	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
264	C₂×#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×#683	C₂³	1	1	yes	characteristic
273	C₂×#683	C₂³	1	1	yes	characteristic
274	C₂×#683	C₂³	1	1	yes	characteristic
275	C₂×#683	C₂³	1	1	yes	characteristic
276	C₂×#683	C₂³	1	1	yes	characteristic
277	C₂×#683	C₂³	1	1	yes	characteristic
278	C₂×#683	C₂³	1	1	yes	characteristic
279	C₂×#683	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₅	—	4	2	no	—
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	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
296	D₅×C₄⋊C₄	—	2	4	no	—
297	#4032	—	4	2	no	—
298	#4029	—	2	4	no	—
299	#4027	—	2	4	no	—
300	#4027	—	2	4	no	—
301	D₅×C₂²⋊C₄	—	2	4	no	—
302	D₅×C₂²⋊C₄	—	2	4	no	—
303	D₅×C₂²⋊C₄	—	4	2	no	—
304	#4025	—	4	2	no	—
305	C₄²×D₅	—	4	2	no	—
306	C₅×#95	C₂³	1	1	yes	characteristic
307	C₅×#95	C₂³	1	1	yes	characteristic
308	C₅×#95	C₂³	1	1	yes	characteristic
309	C₅×#95	C₂³	1	1	yes	characteristic
310	C₅×#95	C₂³	1	1	yes	characteristic
311	C₅×#95	C₂³	1	1	yes	characteristic
312	C₅×#95	C₂³	1	1	yes	characteristic
313	C₅×#95	C₂³	1	1	yes	characteristic
314	C₅×#95	C₂³	1	1	yes	characteristic
315	C₅×#95	C₂³	1	1	yes	characteristic
316	C₅×#95	C₂³	1	1	yes	characteristic
317	C₅×#95	C₂³	1	1	yes	characteristic
318	C₅×#95	C₂³	1	1	yes	characteristic
319	C₅×#95	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	#2866	—	5	1	no	—
359	#2865	—	5	1	no	—
360	#2853	—	5	1	no	—
361	#2852	—	5	1	no	—
362	#2654	—	5	1	no	—
363	#2653	D₅	1	1	yes	characteristic, complemented
364	#2650	—	5	1	no	—
365	#2649	—	5	1	no	—
366	#2597	—	5	1	no	—
367	#2596	—	5	1	no	—
368	#2595	—	5	1	no	—
369	#2594	—	5	1	no	—
370	#2569	—	5	1	no	—
371	#2564	—	5	1	no	—
372	#2561	—	5	1	no	—
373	#2534	—	5	1	no	—
374	#2525	—	5	1	no	—
375	#2516	—	5	1	no	—
376	#2493	—	5	1	no	—
377	#2480	—	5	1	no	—
378	#2469	—	5	1	no	—
379	#2458	—	5	1	no	—
380	#2419	—	5	1	no	—
381	#2418	—	5	1	no	—
382	#2322	—	5	1	no	—
383	#2321	—	5	1	no	—
384	#2313	—	5	1	no	—
385	#2312	—	5	1	no	—
386	C₄×C₂²⋊Q₈	—	5	1	no	—
387	C₂×#388	—	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	C₂³×D₅	—	2	2	no	—
392	C₂³×D₅	—	2	2	no	—
393	C₂³×D₅	—	2	2	no	—
394	C₂³×D₅	—	4	1	no	—
395	C₂³×D₅	—	4	1	no	—
396	C₂³×D₅	—	4	1	no	—
397	C₂³×D₅	—	4	1	no	—
398	C₂³×D₅	C₂⁴	1	1	yes	characteristic
399	C₂³×D₅	C₂⁴	1	1	yes	characteristic
400	C₂×C₅×Q₈	—	2	2	no	—
401	C₂×C₅×Q₈	—	4	1	no	—
402	C₂×C₅×Q₈	—	4	1	no	—
403	C₂×C₅×D₄	—	2	2	no	—
404	C₂×C₅×D₄	—	4	1	no	—
405	C₂×C₅×D₄	—	4	1	no	—
406	C₂²×C₄×C₅	—	2	2	no	—
407	C₂²×C₄×C₅	—	4	1	no	—
408	C₂²×C₄×C₅	—	4	1	no	—
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×C₄×C₅	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
422	C₂×C₂²⋊D₅	—	2	2	no	—
423	C₂×C₂²⋊D₅	—	2	2	no	—
424	C₂×C₂²⋊D₅	—	2	2	no	—
425	C₂×C₂²⋊D₅	—	4	1	no	—
426	C₂×C₂²⋊D₅	—	4	1	no	—
427	C₂×C₂²⋊D₅	#41	1	4	yes	—
428	C₂²×Dic₅	—	2	2	no	—
429	C₂²×Dic₅	—	2	2	no	—
430	C₂²×Dic₅	—	2	2	no	—
431	C₂²×Dic₅	—	4	1	no	—
432	C₂²×Dic₅	—	4	1	no	—
433	C₂²×Dic₅	—	4	1	no	—
434	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₅	—	2	2	no	—
449	C₂×C₄×D₅	—	2	2	no	—
450	C₂×C₄×D₅	—	2	2	no	—
451	C₂×C₄×D₅	—	2	2	no	—
452	C₂×C₄×D₅	—	2	2	no	—
453	C₂×C₄×D₅	—	2	2	no	—
454	C₂×C₄×D₅	—	2	2	no	—
455	C₂×C₄×D₅	—	4	1	no	—
456	C₂×C₄×D₅	—	4	1	no	—
457	C₂×C₄×D₅	—	4	1	no	—
458	C₂×C₄×D₅	—	4	1	no	—
459	C₂×C₄×D₅	—	4	1	no	—
460	C₂×C₄×D₅	—	4	1	no	—
461	C₂×C₄×D₅	—	4	1	no	—
462	C₂×C₄×D₅	—	4	1	no	—
463	C₂×C₄×D₅	—	4	1	no	—
464	C₂×C₄×D₅	#41	1	4	yes	—
465	C₂×C₄×D₅	#41	1	4	yes	—
466	C₅×C₄⋊C₄	—	2	2	no	—
467	C₅×C₄⋊C₄	—	4	1	no	—
468	C₅×C₄⋊C₄	—	4	1	no	—
469	C₅×C₄⋊C₄	—	4	1	no	—
470	C₅×C₄⋊C₄	—	4	1	no	—
471	C₅×C₂²⋊C₄	—	2	2	no	—
472	C₅×C₂²⋊C₄	—	2	2	no	—
473	C₅×C₂²⋊C₄	—	2	2	no	—
474	C₅×C₂²⋊C₄	—	2	2	no	—
475	C₅×C₂²⋊C₄	—	2	2	no	—
476	C₅×C₂²⋊C₄	—	4	1	no	—
477	C₅×C₂²⋊C₄	—	4	1	no	—
478	C₅×C₂²⋊C₄	—	4	1	no	—
479	C₅×C₂²⋊C₄	—	4	1	no	—
480	C₅×C₂²⋊C₄	—	4	1	no	—
481	C₅×C₂²⋊C₄	—	4	1	no	—
482	C₄²×C₅	—	4	1	no	—
483	C₄²×C₅	—	4	1	no	—
484	C₂²⋊Dic₅	—	2	2	no	—
485	C₂²⋊Dic₅	—	2	2	no	—
486	C₂²⋊Dic₅	—	2	2	no	—
487	C₂²⋊Dic₅	—	2	2	no	—
488	C₂²⋊Dic₅	—	2	2	no	—
489	C₂²⋊Dic₅	—	2	2	no	—
490	C₂²⋊Dic₅	—	4	1	no	—
491	C₂²⋊Dic₅	—	4	1	no	—
492	C₂²⋊Dic₅	—	4	1	no	—
493	C₂²⋊Dic₅	—	4	1	no	—
494	C₂²⋊Dic₅	—	4	1	no	—
495	#685	—	2	2	no	—
496	#685	—	2	2	no	—
497	#685	—	2	2	no	—
498	#685	—	2	2	no	—
499	#685	—	2	2	no	—
500	#685	—	2	2	no	—
501	#685	—	2	2	no	—
502	#685	—	2	2	no	—
503	#685	—	2	2	no	—
504	#685	—	2	2	no	—
505	#685	—	2	2	no	—
506	#685	—	2	2	no	—
507	#685	—	2	2	no	—
508	#685	—	4	1	no	—
509	#685	—	4	1	no	—
510	#685	—	4	1	no	—
511	#685	—	4	1	no	—
512	#685	—	4	1	no	—
513	#685	—	4	1	no	—
514	#685	—	4	1	no	—
515	C₄⋊Dic₅	—	2	2	no	—
516	C₄⋊Dic₅	—	2	2	no	—
517	C₄⋊Dic₅	—	2	2	no	—
518	C₄⋊Dic₅	—	2	2	no	—
519	C₄⋊Dic₅	—	2	2	no	—
520	C₄⋊Dic₅	—	4	1	no	—
521	C₄⋊Dic₅	—	4	1	no	—
522	C₄⋊Dic₅	—	4	1	no	—
523	C₄⋊Dic₅	—	4	1	no	—
524	#683	—	2	2	no	—
525	#683	—	2	2	no	—
526	#683	—	2	2	no	—
527	#683	—	2	2	no	—
528	#683	—	2	2	no	—
529	#683	—	2	2	no	—
530	#683	—	2	2	no	—
531	#683	—	2	2	no	—
532	#683	—	4	1	no	—
533	#683	—	4	1	no	—
534	#683	—	4	1	no	—
535	#683	—	4	1	no	—
536	#683	—	4	1	no	—
537	#683	—	4	1	no	—
538	#683	—	4	1	no	—
539	#683	—	4	1	no	—
540	C₄×Dic₅	—	2	2	no	—
541	C₄×Dic₅	—	2	2	no	—
542	C₄×Dic₅	—	2	2	no	—
543	C₄×Dic₅	—	2	2	no	—
544	C₄×Dic₅	—	2	2	no	—
545	C₄×Dic₅	—	2	2	no	—
546	C₄×Dic₅	—	4	1	no	—
547	C₄×Dic₅	—	4	1	no	—
548	C₄×Dic₅	—	4	1	no	—
549	C₄×Dic₅	—	4	1	no	—
550	C₄×Dic₅	—	4	1	no	—
551	C₄×Dic₅	—	4	1	no	—
552	C₄×Dic₅	—	4	1	no	—
553	C₄×Dic₅	—	4	1	no	—
554	C₄×Dic₅	—	4	1	no	—
555	C₂×#126	—	5	1	no	—
556	C₂×#123	—	5	1	no	—
557	C₂×#123	—	5	1	no	—
558	C₂×C₂²⋊Q₈	—	5	1	no	—
559	C₂×#120	—	5	1	no	—
560	C₂×C₄×Q₈	—	5	1	no	—
561	C₂×C₄×D₄	—	5	1	no	—
562	C₂×C₄×D₄	—	5	1	no	—
563	C₂×C₄×D₄	—	5	1	no	—
564	C₂²×C₄⋊C₄	—	5	1	no	—
565	C₂²×C₂²⋊C₄	—	5	1	no	—
566	C₂²×C₂²⋊C₄	—	5	1	no	—
567	C₂²×C₂²⋊C₄	—	5	1	no	—
568	C₂²×C₄²	—	5	1	no	—
569	C₂²×C₄²	—	5	1	no	—
570	#401	C₂×D₅	1	1	yes	characteristic, complemented
571	#400	—	5	1	no	—
572	#400	—	5	1	no	—
573	#400	—	5	1	no	—
574	#400	—	5	1	no	—
575	#400	—	5	1	no	—
576	#400	—	5	1	no	—
577	#400	—	5	1	no	—
578	#399	—	5	1	no	—
579	#399	—	5	1	no	—
580	#398	—	5	1	no	—
581	#398	—	5	1	no	—
582	#398	C₂×D₅	1	1	yes	characteristic, complemented
583	#397	—	5	1	no	—
584	#397	—	5	1	no	—
585	#397	—	5	1	no	—
586	#397	—	5	1	no	—
587	#397	—	5	1	no	—
588	#397	—	5	1	no	—
589	#397	C₂×D₅	1	1	yes	characteristic
590	#397	C₂×D₅	1	1	yes	characteristic, complemented
591	#396	—	5	1	no	—
592	#396	—	5	1	no	—
593	#396	—	5	1	no	—
594	#395	—	5	1	no	—
595	#394	—	5	1	no	—
596	#394	—	5	1	no	—
597	#394	C₂×D₅	1	1	yes	characteristic
598	#394	C₂×D₅	1	1	yes	characteristic
599	#393	—	5	1	no	—
600	#393	C₂×D₅	1	1	yes	characteristic
601	#393	C₂×D₅	1	1	yes	characteristic, complemented
602	#391	C₂×D₅	1	1	yes	characteristic, complemented
603	#390	—	5	1	no	—
604	#390	—	5	1	no	—
605	#389	—	5	1	no	—
606	#389	—	5	1	no	—
607	#389	—	5	1	no	—
608	#388	—	5	1	no	—
609	#388	—	5	1	no	—
610	#388	—	5	1	no	—
611	#388	—	5	1	no	—
612	#388	—	5	1	no	—
613	#388	—	5	1	no	—
614	#388	—	5	1	no	—
615	#388	—	5	1	no	—
616	#388	—	5	1	no	—
617	#388	—	5	1	no	—
618	#388	—	5	1	no	—
619	#388	—	5	1	no	—
620	#388	—	5	1	no	—
621	#388	—	5	1	no	—
622	#388	—	5	1	no	—
623	#388	—	5	1	no	—
624	#388	—	5	1	no	—
625	#388	—	5	1	no	—
626	#388	—	5	1	no	—
627	#388	—	5	1	no	—
628	#388	—	5	1	no	—
629	#388	—	5	1	no	—
630	#388	—	5	1	no	—
631	#388	—	5	1	no	—
632	#388	—	5	1	no	—
633	#388	—	5	1	no	—
634	#388	—	5	1	no	—
635	#388	—	5	1	no	—
636	#388	—	5	1	no	—
637	#388	—	5	1	no	—
638	#388	—	5	1	no	—
639	#388	C₂×D₅	1	1	yes	characteristic
640	#388	C₂×D₅	1	1	yes	characteristic
641	#387	—	5	1	no	—
642	#387	—	5	1	no	—
643	#387	—	5	1	no	—
644	#387	—	5	1	no	—
645	#387	—	5	1	no	—
646	#387	—	5	1	no	—
647	#387	—	5	1	no	—
648	#387	—	5	1	no	—
649	#387	—	5	1	no	—
650	#387	—	5	1	no	—
651	#387	—	5	1	no	—
652	#387	—	5	1	no	—
653	#387	—	5	1	no	—
654	#387	—	5	1	no	—
655	#387	—	5	1	no	—
656	#387	—	5	1	no	—
657	#387	—	5	1	no	—
658	#387	—	5	1	no	—
659	#387	—	5	1	no	—
660	#387	—	5	1	no	—
661	#387	—	5	1	no	—
662	#387	—	5	1	no	—
663	#387	C₂×D₅	1	1	yes	characteristic, complemented
664	#386	—	5	1	no	—
665	#386	—	5	1	no	—
666	#386	—	5	1	no	—
667	#386	—	5	1	no	—
668	#386	—	5	1	no	—
669	#386	—	5	1	no	—
670	#386	C₂×D₅	1	1	yes	characteristic
671	#385	—	5	1	no	—
672	#385	—	5	1	no	—
673	#385	—	5	1	no	—
674	#385	—	5	1	no	—
675	#385	—	5	1	no	—
676	#385	—	5	1	no	—
677	#385	—	5	1	no	—
678	#385	—	5	1	no	—
679	#385	C₂×D₅	1	1	yes	characteristic, complemented
680	#383	—	5	1	no	—
681	#381	—	5	1	no	—
682	#381	—	5	1	no	—
683	#381	—	5	1	no	—
684	#381	—	5	1	no	—
685	#380	—	5	1	no	—
686	#380	—	5	1	no	—
687	#380	—	5	1	no	—
688	#380	—	5	1	no	—
689	#380	—	5	1	no	—
690	#379	—	5	1	no	—
691	#379	—	5	1	no	—
692	#379	—	5	1	no	—
693	C₄×C₄⋊C₄	—	5	1	no	—
694	C₄×C₄⋊C₄	—	5	1	no	—
695	C₄×C₄⋊C₄	—	5	1	no	—
696	C₄×C₄⋊C₄	—	5	1	no	—
697	C₄×C₄⋊C₄	—	5	1	no	—
698	C₄×C₄⋊C₄	—	5	1	no	—
699	C₄×C₂²⋊C₄	—	5	1	no	—
700	C₄×C₂²⋊C₄	—	5	1	no	—
701	C₄×C₂²⋊C₄	—	5	1	no	—
702	C₄×C₂²⋊C₄	—	5	1	no	—
703	C₄×C₂²⋊C₄	—	5	1	no	—
704	C₄×C₂²⋊C₄	—	5	1	no	—
705	C₄×C₂²⋊C₄	—	5	1	no	—
706	C₄×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
707	C₂×#95	—	5	1	no	—
708	C₂×#95	—	5	1	no	—
709	C₄³	—	5	1	no	—
710	C₂³×C₅	—	2	1	no	—
711	C₂³×C₅	—	2	1	no	—
712	C₂³×C₅	—	2	1	no	—
713	C₂³×C₅	—	2	1	no	—
714	C₂³×C₅	—	2	1	no	—
715	C₂³×C₅	—	2	1	no	—
716	C₂³×C₅	—	2	1	no	—
717	C₂³×C₅	—	2	1	no	—
718	C₂³×C₅	—	2	1	no	—
719	C₂³×C₅	—	2	1	no	—
720	C₂³×C₅	—	2	1	no	—
721	C₂³×C₅	—	2	1	no	—
722	C₂³×C₅	—	2	1	no	—
723	C₂³×C₅	C₂×#41	1	2	yes	—
724	C₂³×C₅	C₂⁵	1	1	yes	characteristic
725	C₂²×D₅	—	2	1	no	—
726	C₂²×D₅	—	2	1	no	—
727	C₂²×D₅	—	2	1	no	—
728	C₂²×D₅	—	2	1	no	—
729	C₂²×D₅	—	2	1	no	—
730	C₂²×D₅	—	2	1	no	—
731	C₂²×D₅	—	2	1	no	—
732	C₂²×D₅	—	2	1	no	—
733	C₂²×D₅	—	2	1	no	—
734	C₂²×D₅	—	2	1	no	—
735	C₂²×D₅	—	2	1	no	—
736	C₂²×D₅	—	4	4	no	—
737	C₂²×D₅	—	4	4	no	—
738	C₂²×D₅	—	4	4	no	—
739	C₂²×D₅	—	8	2	no	—
740	C₂²×D₅	—	8	2	no	—
741	C₂²×D₅	—	8	2	no	—
742	C₂²×D₅	—	8	2	no	—
743	C₂²×D₅	C₂×#41	1	2	yes	—
744	C₂²×D₅	C₂×#41	1	2	yes	—
745	C₂²×D₅	C₂×#41	1	2	yes	—
746	C₅×Q₈	—	4	4	no	—
747	C₅×D₄	—	8	2	no	—
748	C₂×C₄×C₅	—	2	1	no	—
749	C₂×C₄×C₅	—	2	1	no	—
750	C₂×C₄×C₅	—	2	1	no	—
751	C₂×C₄×C₅	—	2	1	no	—
752	C₂×C₄×C₅	—	2	1	no	—
753	C₂×C₄×C₅	—	2	1	no	—
754	C₂×C₄×C₅	—	2	1	no	—
755	C₂×C₄×C₅	—	2	1	no	—
756	C₂×C₄×C₅	—	2	1	no	—
757	C₂×C₄×C₅	—	2	1	no	—
758	C₂×C₄×C₅	—	2	1	no	—
759	C₂×C₄×C₅	—	2	1	no	—
760	C₂×C₄×C₅	—	2	1	no	—
761	C₂×C₄×C₅	—	2	1	no	—
762	C₂×C₄×C₅	—	2	1	no	—
763	C₂×C₄×C₅	—	2	1	no	—
764	C₂×C₄×C₅	—	2	1	no	—
765	C₂×C₄×C₅	—	2	1	no	—
766	C₂×C₄×C₅	—	2	1	no	—
767	C₂×C₄×C₅	—	2	1	no	—
768	C₂×C₄×C₅	—	2	1	no	—
769	C₂×C₄×C₅	—	2	1	no	—
770	C₂×C₄×C₅	—	2	1	no	—
771	C₂×C₄×C₅	—	2	1	no	—
772	C₂×C₄×C₅	—	2	1	no	—
773	C₂×C₄×C₅	—	2	1	no	—
774	C₂×C₄×C₅	—	2	1	no	—
775	C₂×C₄×C₅	—	2	1	no	—
776	C₂×C₄×C₅	—	2	1	no	—
777	C₂×C₄×C₅	—	2	1	no	—
778	C₂×C₄×C₅	—	2	1	no	—
779	C₂×C₄×C₅	—	2	1	no	—
780	C₂×C₄×C₅	—	2	1	no	—
781	C₂×C₄×C₅	—	2	1	no	—
782	C₂×C₄×C₅	—	2	1	no	—
783	C₂×C₄×C₅	—	2	1	no	—
784	C₂×C₄×C₅	—	2	1	no	—
785	C₂×C₄×C₅	—	4	4	no	—
786	C₂×C₄×C₅	C₂×#41	1	2	yes	—
787	C₂×C₄×C₅	C₂×#41	1	2	yes	—
788	C₂²⋊D₅	—	2	8	no	—
789	C₂²⋊D₅	—	8	2	no	—
790	C₂×Dic₅	—	2	1	no	—
791	C₂×Dic₅	—	2	1	no	—
792	C₂×Dic₅	—	2	1	no	—
793	C₂×Dic₅	—	2	1	no	—
794	C₂×Dic₅	—	2	1	no	—
795	C₂×Dic₅	—	2	1	no	—
796	C₂×Dic₅	—	2	1	no	—
797	C₂×Dic₅	—	2	1	no	—
798	C₂×Dic₅	—	2	1	no	—
799	C₂×Dic₅	—	2	1	no	—
800	C₂×Dic₅	—	2	1	no	—
801	C₂×Dic₅	—	2	1	no	—
802	C₂×Dic₅	—	2	1	no	—
803	C₂×Dic₅	—	2	1	no	—
804	C₂×Dic₅	—	2	1	no	—
805	C₂×Dic₅	—	2	1	no	—
806	C₂×Dic₅	—	2	1	no	—
807	C₂×Dic₅	—	2	1	no	—
808	C₂×Dic₅	—	2	1	no	—
809	C₂×Dic₅	—	2	1	no	—
810	C₂×Dic₅	—	2	1	no	—
811	C₂×Dic₅	—	2	1	no	—
812	C₂×Dic₅	—	2	1	no	—
813	C₂×Dic₅	—	2	1	no	—
814	C₂×Dic₅	—	2	1	no	—
815	C₂×Dic₅	—	2	1	no	—
816	C₂×Dic₅	—	2	1	no	—
817	C₂×Dic₅	—	2	1	no	—
818	C₂×Dic₅	—	2	1	no	—
819	C₂×Dic₅	—	2	1	no	—
820	C₂×Dic₅	—	2	1	no	—
821	C₂×Dic₅	—	2	1	no	—
822	C₂×Dic₅	—	2	1	no	—
823	C₂×Dic₅	—	2	1	no	—
824	C₂×Dic₅	—	2	1	no	—
825	C₂×Dic₅	—	2	1	no	—
826	C₂×Dic₅	—	2	1	no	—
827	C₂×Dic₅	—	2	1	no	—
828	C₂×Dic₅	—	4	4	no	—
829	C₂×Dic₅	—	4	4	no	—
830	C₂×Dic₅	C₂×#41	1	2	yes	—
831	C₂×Dic₅	C₂×#41	1	2	yes	—
832	C₂×Dic₅	C₂×#41	1	2	yes	—
833	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
834	C₄×D₅	—	4	4	no	—
835	C₄×D₅	—	4	4	no	—
836	C₄×D₅	—	4	4	no	—
837	C₄×D₅	—	4	4	no	—
838	C₄×D₅	—	8	2	no	—
839	C₄×D₅	—	8	2	no	—
840	C₂⁵	—	5	1	no	—
841	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
842	C₂²×D₄	—	5	1	no	—
843	C₂²×D₄	—	5	1	no	—
844	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
845	C₂³×C₄	—	5	1	no	—
846	C₂³×C₄	—	5	1	no	—
847	C₂³×C₄	—	5	1	no	—
848	C₂³×C₄	—	5	1	no	—
849	C₂³×C₄	—	5	1	no	—
850	C₂³×C₄	—	5	1	no	—
851	C₂³×C₄	—	5	1	no	—
852	C₂³×C₄	—	5	1	no	—
853	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
854	#126	—	20	2	no	—
855	#123	—	10	4	no	—
856	#123	—	20	2	no	—
857	C₂²⋊Q₈	—	10	4	no	—
858	#120	—	10	4	no	—
859	C₄×Q₈	—	20	2	no	—
860	C₄×D₄	—	10	4	no	—
861	C₄×D₄	—	10	4	no	—
862	C₄×D₄	—	10	4	no	—
863	C₂×C₄⋊C₄	—	5	1	no	—
864	C₂×C₄⋊C₄	—	5	1	no	—
865	C₂×C₄⋊C₄	—	5	1	no	—
866	C₂×C₄⋊C₄	—	5	1	no	—
867	C₂×C₄⋊C₄	—	5	1	no	—
868	C₂×C₄⋊C₄	—	5	1	no	—
869	C₂×C₄⋊C₄	—	5	1	no	—
870	C₂×C₄⋊C₄	—	5	1	no	—
871	C₂×C₄⋊C₄	—	5	1	no	—
872	C₂×C₄⋊C₄	—	5	1	no	—
873	C₂×C₄⋊C₄	—	5	1	no	—
874	C₂×C₄⋊C₄	—	5	1	no	—
875	C₂×C₄⋊C₄	—	5	1	no	—
876	C₂×C₄⋊C₄	—	5	1	no	—
877	C₂×C₄⋊C₄	—	5	1	no	—
878	C₂×C₄⋊C₄	—	5	1	no	—
879	C₂×C₄⋊C₄	—	5	1	no	—
880	C₂×C₄⋊C₄	—	5	1	no	—
881	C₂×C₄⋊C₄	—	5	1	no	—
882	C₂×C₄⋊C₄	—	5	1	no	—
883	C₂×C₄⋊C₄	—	5	1	no	—
884	C₂×C₄⋊C₄	—	5	1	no	—
885	C₂×C₄⋊C₄	—	5	1	no	—
886	C₂×C₄⋊C₄	—	5	1	no	—
887	C₂×C₄⋊C₄	—	5	1	no	—
888	C₂×C₄⋊C₄	—	10	4	no	—
889	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
894	C₂×C₂²⋊C₄	—	5	1	no	—
895	C₂×C₂²⋊C₄	—	5	1	no	—
896	C₂×C₂²⋊C₄	—	5	1	no	—
897	C₂×C₂²⋊C₄	—	5	1	no	—
898	C₂×C₂²⋊C₄	—	5	1	no	—
899	C₂×C₂²⋊C₄	—	5	1	no	—
900	C₂×C₂²⋊C₄	—	5	1	no	—
901	C₂×C₂²⋊C₄	—	5	1	no	—
902	C₂×C₂²⋊C₄	—	5	1	no	—
903	C₂×C₂²⋊C₄	—	5	1	no	—
904	C₂×C₂²⋊C₄	—	5	1	no	—
905	C₂×C₂²⋊C₄	—	5	1	no	—
906	C₂×C₂²⋊C₄	—	5	1	no	—
907	C₂×C₂²⋊C₄	—	5	1	no	—
908	C₂×C₂²⋊C₄	—	5	1	no	—
909	C₂×C₂²⋊C₄	—	5	1	no	—
910	C₂×C₂²⋊C₄	—	5	1	no	—
911	C₂×C₂²⋊C₄	—	5	1	no	—
912	C₂×C₂²⋊C₄	—	5	1	no	—
913	C₂×C₂²⋊C₄	—	5	1	no	—
914	C₂×C₂²⋊C₄	—	5	1	no	—
915	C₂×C₂²⋊C₄	—	5	1	no	—
916	C₂×C₂²⋊C₄	—	5	1	no	—
917	C₂×C₂²⋊C₄	—	5	1	no	—
918	C₂×C₂²⋊C₄	—	5	1	no	—
919	C₂×C₂²⋊C₄	—	5	1	no	—
920	C₂×C₂²⋊C₄	—	5	1	no	—
921	C₂×C₂²⋊C₄	—	5	1	no	—
922	C₂×C₂²⋊C₄	—	5	1	no	—
923	C₂×C₂²⋊C₄	—	5	1	no	—
924	C₂×C₂²⋊C₄	—	5	1	no	—
925	C₂×C₂²⋊C₄	—	10	4	no	—
926	C₂×C₂²⋊C₄	—	10	4	no	—
927	C₂×C₂²⋊C₄	—	20	2	no	—
928	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
934	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
935	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
936	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
939	C₂×C₄²	—	5	1	no	—
940	C₂×C₄²	—	5	1	no	—
941	C₂×C₄²	—	5	1	no	—
942	C₂×C₄²	—	5	1	no	—
943	C₂×C₄²	—	5	1	no	—
944	C₂×C₄²	—	5	1	no	—
945	C₂×C₄²	—	5	1	no	—
946	C₂×C₄²	—	5	1	no	—
947	C₂×C₄²	—	5	1	no	—
948	C₂×C₄²	—	5	1	no	—
949	C₂×C₄²	—	5	1	no	—
950	C₂×C₄²	—	5	1	no	—
951	C₂×C₄²	—	5	1	no	—
952	C₂×C₄²	—	5	1	no	—
953	C₂×C₄²	—	5	1	no	—
954	C₂×C₄²	—	20	2	no	—
955	C₂×C₄²	—	20	2	no	—
956	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
958	#95	—	5	1	no	—
959	#95	—	5	1	no	—
960	#95	—	5	1	no	—
961	#95	—	5	1	no	—
962	#95	—	5	1	no	—
963	#95	—	5	1	no	—
964	#95	—	5	1	no	—
965	#95	—	5	1	no	—
966	#95	—	5	1	no	—
967	#95	—	5	1	no	—
968	#95	—	5	1	no	—
969	#95	—	5	1	no	—
970	#95	—	5	1	no	—
971	#95	—	5	1	no	—
972	#95	—	5	1	no	—
973	#95	—	5	1	no	—
974	#95	—	5	1	no	—
975	#95	—	5	1	no	—
976	#95	—	5	1	no	—
977	#95	—	5	1	no	—
978	#95	—	5	1	no	—
979	#95	—	5	1	no	—
980	#95	—	5	1	no	—
981	#95	—	5	1	no	—
982	#95	—	5	1	no	—
983	#95	—	5	1	no	—
984	#95	—	5	1	no	—
985	#95	—	5	1	no	—
986	#95	—	5	1	no	—
987	#95	—	5	1	no	—
988	#95	—	5	1	no	—
989	#95	—	5	1	no	—
990	#95	—	5	1	no	—
991	#95	—	5	1	no	—
992	#95	—	5	1	no	—
993	#95	—	5	1	no	—
994	#95	—	5	1	no	—
995	#95	—	5	1	no	—
996	#95	C₂²×D₅	1	1	yes	characteristic
997	#95	C₂²×D₅	1	1	yes	characteristic
998	#95	C₂²×D₅	1	1	yes	characteristic
999	#95	C₂²×D₅	1	1	yes	characteristic
1000	#95	C₂²×D₅	1	1	yes	characteristic
1001	#95	C₂²×D₅	1	1	yes	characteristic
1002	#95	C₂²×D₅	1	1	yes	characteristic
1003	#95	C₂²×D₅	1	1	yes	characteristic
1004	#95	C₂²×D₅	1	1	yes	characteristic
1005	#95	C₂²×D₅	1	1	yes	characteristic
1006	#95	C₂²×D₅	1	1	yes	characteristic
1007	#95	C₂²×D₅	1	1	yes	characteristic
1008	#95	C₂²×D₅	1	1	yes	characteristic
1009	#95	C₂²×D₅	1	1	yes	characteristic
1010	C₂²×C₅	—	2	2	no	—
1011	C₂²×C₅	—	2	2	no	—
1012	C₂²×C₅	—	2	2	no	—
1013	C₂²×C₅	—	4	1	no	—
1014	C₂²×C₅	—	4	1	no	—
1015	C₂²×C₅	—	4	1	no	—
1016	C₂²×C₅	—	4	1	no	—
1017	C₂²×C₅	—	4	1	no	—
1018	C₂²×C₅	—	4	1	no	—
1019	C₂²×C₅	—	4	1	no	—
1020	C₂²×C₅	—	4	1	no	—
1021	C₂²×C₅	—	4	1	no	—
1022	C₂²×C₅	—	4	1	no	—
1023	C₂²×C₅	—	4	1	no	—
1024	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1025	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1026	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1027	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1028	C₂²×C₅	#585	1	1	yes	characteristic
1029	C₂²×C₅	#585	1	1	yes	characteristic
1030	C₂²×C₅	#585	1	1	yes	characteristic
1031	C₂×D₅	—	2	2	no	—
1032	C₂×D₅	—	2	2	no	—
1033	C₂×D₅	—	2	2	no	—
1034	C₂×D₅	—	2	2	no	—
1035	C₂×D₅	—	2	2	no	—
1036	C₂×D₅	—	2	2	no	—
1037	C₂×D₅	—	4	1	no	—
1038	C₂×D₅	—	4	1	no	—
1039	C₂×D₅	—	4	1	no	—
1040	C₂×D₅	—	4	1	no	—
1041	C₂×D₅	—	4	1	no	—
1042	C₂×D₅	—	4	1	no	—
1043	C₂×D₅	—	4	1	no	—
1044	C₂×D₅	—	8	8	no	—
1045	C₂×D₅	#529	1	4	yes	—
1046	C₄×C₅	—	2	2	no	—
1047	C₄×C₅	—	2	2	no	—
1048	C₄×C₅	—	4	1	no	—
1049	C₄×C₅	—	4	1	no	—
1050	C₄×C₅	—	4	1	no	—
1051	C₄×C₅	—	4	1	no	—
1052	C₄×C₅	—	4	1	no	—
1053	C₄×C₅	—	4	1	no	—
1054	C₄×C₅	—	4	1	no	—
1055	C₄×C₅	—	4	1	no	—
1056	C₄×C₅	—	4	1	no	—
1057	C₄×C₅	—	4	1	no	—
1058	C₄×C₅	—	4	1	no	—
1059	Dic₅	—	2	2	no	—
1060	Dic₅	—	2	2	no	—
1061	Dic₅	—	2	2	no	—
1062	Dic₅	—	2	2	no	—
1063	Dic₅	—	4	1	no	—
1064	Dic₅	—	4	1	no	—
1065	Dic₅	—	4	1	no	—
1066	Dic₅	—	4	1	no	—
1067	Dic₅	—	4	1	no	—
1068	Dic₅	—	4	1	no	—
1069	Dic₅	—	4	1	no	—
1070	Dic₅	—	4	1	no	—
1071	Dic₅	—	4	1	no	—
1072	Dic₅	—	4	1	no	—
1073	C₂⁴	—	5	1	no	—
1074	C₂⁴	—	5	1	no	—
1075	C₂⁴	—	10	2	no	—
1076	C₂⁴	—	10	2	no	—
1077	C₂⁴	—	10	2	no	—
1078	C₂⁴	—	20	1	no	—
1079	C₂⁴	—	20	1	no	—
1080	C₂⁴	—	20	1	no	—
1081	C₂⁴	—	20	1	no	—
1082	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1083	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1084	C₂×Q₈	—	2	2	no	—
1085	C₂×Q₈	—	4	1	no	—
1086	C₂×Q₈	—	4	1	no	—
1087	C₂×D₄	—	2	2	no	—
1088	C₂×D₄	—	4	1	no	—
1089	C₂×D₄	—	4	1	no	—
1090	C₂×D₄	—	5	4	no	—
1091	C₂×D₄	—	10	2	no	—
1092	C₂×D₄	—	10	2	no	—
1093	C₂×D₄	—	10	2	no	—
1094	C₂×D₄	—	20	1	no	—
1095	C₂×D₄	—	20	1	no	—
1096	C₂²×C₄	—	2	2	no	—
1097	C₂²×C₄	—	4	1	no	—
1098	C₂²×C₄	—	4	1	no	—
1099	C₂²×C₄	—	5	1	no	—
1100	C₂²×C₄	—	5	1	no	—
1101	C₂²×C₄	—	5	1	no	—
1102	C₂²×C₄	—	5	1	no	—
1103	C₂²×C₄	—	5	4	no	—
1104	C₂²×C₄	—	5	4	no	—
1105	C₂²×C₄	—	5	1	no	—
1106	C₂²×C₄	—	5	1	no	—
1107	C₂²×C₄	—	5	1	no	—
1108	C₂²×C₄	—	5	1	no	—
1109	C₂²×C₄	—	5	1	no	—
1110	C₂²×C₄	—	5	1	no	—
1111	C₂²×C₄	—	5	1	no	—
1112	C₂²×C₄	—	5	1	no	—
1113	C₂²×C₄	—	5	1	no	—
1114	C₂²×C₄	—	5	1	no	—
1115	C₂²×C₄	—	10	2	no	—
1116	C₂²×C₄	—	10	2	no	—
1117	C₂²×C₄	—	10	2	no	—
1118	C₂²×C₄	—	10	2	no	—
1119	C₂²×C₄	—	10	2	no	—
1120	C₂²×C₄	—	10	2	no	—
1121	C₂²×C₄	—	10	2	no	—
1122	C₂²×C₄	—	10	2	no	—
1123	C₂²×C₄	—	10	2	no	—
1124	C₂²×C₄	—	10	2	no	—
1125	C₂²×C₄	—	20	1	no	—
1126	C₂²×C₄	—	20	1	no	—
1127	C₂²×C₄	—	20	1	no	—
1128	C₂²×C₄	—	20	1	no	—
1129	C₂²×C₄	—	20	1	no	—
1130	C₂²×C₄	—	20	1	no	—
1131	C₂²×C₄	—	20	1	no	—
1132	C₂²×C₄	—	20	1	no	—
1133	C₂²×C₄	—	20	1	no	—
1134	C₂²×C₄	—	20	1	no	—
1135	C₂²×C₄	—	20	1	no	—
1136	C₂²×C₄	—	20	1	no	—
1137	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1141	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1150	C₄⋊C₄	—	2	2	no	—
1151	C₄⋊C₄	—	4	1	no	—
1152	C₄⋊C₄	—	4	1	no	—
1153	C₄⋊C₄	—	4	1	no	—
1154	C₄⋊C₄	—	4	1	no	—
1155	C₄⋊C₄	—	10	2	no	—
1156	C₄⋊C₄	—	10	2	no	—
1157	C₄⋊C₄	—	10	2	no	—
1158	C₄⋊C₄	—	10	2	no	—
1159	C₄⋊C₄	—	10	2	no	—
1160	C₄⋊C₄	—	10	2	no	—
1161	C₄⋊C₄	—	10	2	no	—
1162	C₄⋊C₄	—	10	2	no	—
1163	C₄⋊C₄	—	10	2	no	—
1164	C₄⋊C₄	—	10	2	no	—
1165	C₄⋊C₄	—	10	2	no	—
1166	C₄⋊C₄	—	10	2	no	—
1167	C₄⋊C₄	—	10	2	no	—
1168	C₄⋊C₄	—	20	1	no	—
1169	C₄⋊C₄	—	20	1	no	—
1170	C₄⋊C₄	—	20	1	no	—
1171	C₄⋊C₄	—	20	1	no	—
1172	C₄⋊C₄	—	20	1	no	—
1173	C₄⋊C₄	—	20	1	no	—
1174	C₄⋊C₄	—	20	1	no	—
1175	C₄⋊C₄	—	20	1	no	—
1176	C₄⋊C₄	—	20	1	no	—
1177	C₄⋊C₄	—	20	1	no	—
1178	C₄⋊C₄	—	20	1	no	—
1179	C₄⋊C₄	—	20	1	no	—
1180	C₂²⋊C₄	—	2	2	no	—
1181	C₂²⋊C₄	—	2	2	no	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	2	2	no	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	4	1	no	—
1186	C₂²⋊C₄	—	4	1	no	—
1187	C₂²⋊C₄	—	4	1	no	—
1188	C₂²⋊C₄	—	4	1	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	10	2	no	—
1192	C₂²⋊C₄	—	10	2	no	—
1193	C₂²⋊C₄	—	10	2	no	—
1194	C₂²⋊C₄	—	10	2	no	—
1195	C₂²⋊C₄	—	10	2	no	—
1196	C₂²⋊C₄	—	10	2	no	—
1197	C₂²⋊C₄	—	10	2	no	—
1198	C₂²⋊C₄	—	10	2	no	—
1199	C₂²⋊C₄	—	10	2	no	—
1200	C₂²⋊C₄	—	10	2	no	—
1201	C₂²⋊C₄	—	10	2	no	—
1202	C₂²⋊C₄	—	10	2	no	—
1203	C₂²⋊C₄	—	10	2	no	—
1204	C₂²⋊C₄	—	10	2	no	—
1205	C₂²⋊C₄	—	10	2	no	—
1206	C₂²⋊C₄	—	10	2	no	—
1207	C₂²⋊C₄	—	10	2	no	—
1208	C₂²⋊C₄	—	10	2	no	—
1209	C₂²⋊C₄	—	10	2	no	—
1210	C₂²⋊C₄	—	20	1	no	—
1211	C₂²⋊C₄	—	20	1	no	—
1212	C₂²⋊C₄	—	20	1	no	—
1213	C₂²⋊C₄	—	20	1	no	—
1214	C₂²⋊C₄	—	20	1	no	—
1215	C₂²⋊C₄	—	20	1	no	—
1216	C₂²⋊C₄	—	20	1	no	—
1217	C₂²⋊C₄	—	20	1	no	—
1218	C₂²⋊C₄	—	20	1	no	—
1219	C₂²⋊C₄	—	20	1	no	—
1220	C₂²⋊C₄	—	20	1	no	—
1221	C₂²⋊C₄	—	20	1	no	—
1222	C₄²	—	4	1	no	—
1223	C₄²	—	4	1	no	—
1224	C₄²	—	10	2	no	—
1225	C₄²	—	10	2	no	—
1226	C₄²	—	10	2	no	—
1227	C₄²	—	10	2	no	—
1228	C₄²	—	10	2	no	—
1229	C₄²	—	10	2	no	—
1230	C₄²	—	20	1	no	—
1231	C₄²	—	20	1	no	—
1232	C₄²	—	20	1	no	—
1233	C₄²	—	20	1	no	—
1234	C₄²	—	20	1	no	—
1235	C₄²	—	20	1	no	—
1236	C₄²	—	20	1	no	—
1237	C₄²	—	20	1	no	—
1238	C₄²	—	20	1	no	—
1239	C₂×C₅	—	4	2	no	—
1240	C₂×C₅	—	8	1	no	—
1241	C₂×C₅	C₂×#529	1	1	yes	characteristic
1242	C₂×C₅	#3455	1	1	yes	characteristic
1243	C₂×C₅	#3459	1	1	yes	characteristic
1244	C₂×C₅	#3505	1	1	yes	characteristic
1245	C₂×C₅	#3510	1	1	yes	characteristic
1246	C₂×C₅	#3513	1	1	yes	characteristic
1247	C₂×C₅	#3521	1	1	yes	characteristic
1248	D₅	—	2	4	no	—
1249	D₅	—	8	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	5	2	no	—
1264	C₂³	—	5	2	no	—
1265	C₂³	—	5	2	no	—
1266	C₂³	—	10	1	no	—
1267	C₂³	—	10	1	no	—
1268	C₂³	—	10	1	no	—
1269	C₂³	—	10	1	no	—
1270	C₂³	—	10	1	no	—
1271	C₂³	—	10	1	no	—
1272	C₂³	—	10	1	no	—
1273	C₂³	—	10	1	no	—
1274	C₂³	—	10	1	no	—
1275	C₂³	—	10	1	no	—
1276	C₂³	—	10	1	no	—
1277	C₂³	—	20	4	no	—
1278	C₂³	—	20	4	no	—
1279	C₂³	—	20	4	no	—
1280	C₂³	—	40	2	no	—
1281	C₂³	—	40	2	no	—
1282	C₂³	—	40	2	no	—
1283	C₂³	—	40	2	no	—
1284	C₂³	D₅×#41	1	2	yes	—
1285	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1286	Q₈	—	4	4	no	—
1287	D₄	—	8	2	no	—
1288	D₄	—	10	8	no	—
1289	D₄	—	40	2	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	4	4	no	—
1328	C₂×C₄	—	5	2	no	—
1329	C₂×C₄	—	5	2	no	—
1330	C₂×C₄	—	5	2	no	—
1331	C₂×C₄	—	5	2	no	—
1332	C₂×C₄	—	10	1	no	—
1333	C₂×C₄	—	10	1	no	—
1334	C₂×C₄	—	10	1	no	—
1335	C₂×C₄	—	10	1	no	—
1336	C₂×C₄	—	10	1	no	—
1337	C₂×C₄	—	10	1	no	—
1338	C₂×C₄	—	10	1	no	—
1339	C₂×C₄	—	10	1	no	—
1340	C₂×C₄	—	10	1	no	—
1341	C₂×C₄	—	10	1	no	—
1342	C₂×C₄	—	10	1	no	—
1343	C₂×C₄	—	10	1	no	—
1344	C₂×C₄	—	10	1	no	—
1345	C₂×C₄	—	10	1	no	—
1346	C₂×C₄	—	10	1	no	—
1347	C₂×C₄	—	10	1	no	—
1348	C₂×C₄	—	10	1	no	—
1349	C₂×C₄	—	10	1	no	—
1350	C₂×C₄	—	10	1	no	—
1351	C₂×C₄	—	10	1	no	—
1352	C₂×C₄	—	10	1	no	—
1353	C₂×C₄	—	10	1	no	—
1354	C₂×C₄	—	10	1	no	—
1355	C₂×C₄	—	10	1	no	—
1356	C₂×C₄	—	10	1	no	—
1357	C₂×C₄	—	10	1	no	—
1358	C₂×C₄	—	10	1	no	—
1359	C₂×C₄	—	10	1	no	—
1360	C₂×C₄	—	10	1	no	—
1361	C₂×C₄	—	10	1	no	—
1362	C₂×C₄	—	10	1	no	—
1363	C₂×C₄	—	10	1	no	—
1364	C₂×C₄	—	10	1	no	—
1365	C₂×C₄	—	10	1	no	—
1366	C₂×C₄	—	10	1	no	—
1367	C₂×C₄	—	10	1	no	—
1368	C₂×C₄	—	10	1	no	—
1369	C₂×C₄	—	10	1	no	—
1370	C₂×C₄	—	20	4	no	—
1371	C₂×C₄	—	20	4	no	—
1372	C₂×C₄	—	20	4	no	—
1373	C₂×C₄	—	20	4	no	—
1374	C₂×C₄	—	20	4	no	—
1375	C₂×C₄	—	20	4	no	—
1376	C₂×C₄	—	40	2	no	—
1377	C₂×C₄	—	40	2	no	—
1378	C₂×C₄	D₅×#41	1	2	yes	—
1379	C₂×C₄	D₅×#41	1	2	yes	—
1380	C₅	#35027	1	1	yes	characteristic, complemented, Sylow
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	4	1	no	—
1385	C₂²	—	4	1	no	—
1386	C₂²	—	4	1	no	—
1387	C₂²	—	4	1	no	—
1388	C₂²	—	4	1	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	5	4	no	—
1396	C₂²	—	10	2	no	—
1397	C₂²	—	10	2	no	—
1398	C₂²	—	10	2	no	—
1399	C₂²	—	10	2	no	—
1400	C₂²	—	10	2	no	—
1401	C₂²	—	10	2	no	—
1402	C₂²	—	20	1	no	—
1403	C₂²	—	20	1	no	—
1404	C₂²	—	20	1	no	—
1405	C₂²	—	20	1	no	—
1406	C₂²	—	20	1	no	—
1407	C₂²	—	20	1	no	—
1408	C₂²	—	20	1	no	—
1409	C₂²	—	40	8	no	—
1410	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1411	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1412	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1413	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1414	C₂²	#66285	1	1	yes	characteristic
1415	C₂²	#66285	1	1	yes	characteristic
1416	C₂²	#66287	1	1	yes	characteristic
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	4	1	no	—
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	10	2	no	—
1431	C₄	—	10	2	no	—
1432	C₄	—	10	2	no	—
1433	C₄	—	10	2	no	—
1434	C₄	—	20	1	no	—
1435	C₄	—	20	1	no	—
1436	C₄	—	20	1	no	—
1437	C₄	—	20	1	no	—
1438	C₄	—	20	1	no	—
1439	C₄	—	20	1	no	—
1440	C₄	—	20	1	no	—
1441	C₄	—	20	1	no	—
1442	C₄	—	20	1	no	—
1443	C₄	—	20	1	no	—
1444	C₂	—	4	2	no	—
1445	C₂	—	8	1	no	—
1446	C₂	—	10	4	no	—
1447	C₂	—	40	1	no	—
1448	C₂	D₅×#529	1	1	yes	characteristic
1449	C₂	#10618289	1	1	yes	characteristic
1450	C₂	#10618294	1	1	yes	characteristic
1451	C₂	#10618316	1	1	yes	characteristic
1452	C₂	#10618356	1	1	yes	characteristic
1453	C₂	#10618424	1	1	yes	characteristic
1454	C₂	#10618453	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2653	C₂
prime radical	C₂×#4083	C₂²
hypercenter	#2653	D₅
hypocenter	C₅	#35027
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2653

Complements

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

N	H ≅ G/N	type
1. C₅×#2653	C₂	semidirect
2. #10610161	C₂	semidirect
3. #10610146	C₂	semidirect
4. #10609690	C₂	semidirect
5. #10609510	C₂	semidirect
6. #10609401	C₂	semidirect
7. #10609261	C₂	semidirect
8. #10609260	C₂	semidirect
9. #10609213	C₂	semidirect
12. #10608692	C₂	semidirect
13. #10608668	C₂	semidirect
14. #10608600	C₂	semidirect
15. #10608599	C₂	semidirect
16. #10608520	C₂	semidirect
17. #10608515	C₂	semidirect
18. #10608375	C₂	semidirect
19. #10608210	C₂	semidirect
20. #10607556	C₂	semidirect
21. D₅×#388	C₂	semidirect
22. #10607553	C₂	semidirect
23. #10607391	C₂	semidirect
24. #10607027	C₂	semidirect
25. #10607025	C₂	semidirect
27. #10606601	C₂	semidirect
28. #10606324	C₂	semidirect
29. #10606319	C₂	semidirect
30. #10605341	C₂	semidirect
31. C₄×#4027	C₂	semidirect
33. C₂×Q₈×Dic₅	C₂²	semidirect
36. C₂²×C₄×Dic₅	C₂²	semidirect
47. C₅×#401	C₂²	semidirect
48. C₅×#398	C₂²	semidirect
50. C₅×#397	C₂²	semidirect
54. C₅×#393	C₂²	semidirect
55. C₅×#391	C₂²	semidirect
58. C₅×#387	C₂²	semidirect
60. C₅×#385	C₂²	semidirect
61. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
63. #65518	C₂²	semidirect
68. #65499	C₂²	semidirect
78. #65275	C₂²	semidirect
79. #65270	C₂²	semidirect
80. #65270	C₂²	semidirect
81. #65270	C₂²	semidirect
82. #65270	C₂²	semidirect
83. #65267	C₂²	semidirect
84. #65267	C₂²	semidirect
85. #65267	C₂²	semidirect
86. C₄⋊C₄×Dic₅	C₂²	semidirect
87. #65262	C₂²	semidirect
99. #65241	C₂²	semidirect
104. #65240	C₂²	semidirect
105. #65239	C₂²	semidirect
107. #65238	C₂²	semidirect
109. #65235	C₂²	semidirect
110. #65235	C₂²	semidirect
120. #65233	C₂²	semidirect
121. #65232	C₂²	semidirect
122. C₂²⋊C₄×Dic₅	C₂²	semidirect
123. C₂²⋊C₄×Dic₅	C₂²	semidirect
127. #65222	C₂²	semidirect
128. C₄×#683	C₂²	semidirect
129. C₄²×Dic₅	C₂²	semidirect
130. #65217	C₂²	semidirect
159. #64950	C₂²	semidirect
160. #64949	C₂²	semidirect
161. #64949	C₂²	semidirect
162. #64949	C₂²	semidirect
163. #64948	C₂²	semidirect
164. #64947	C₂²	semidirect
165. #64947	C₂²	semidirect
166. #64946	C₂²	semidirect
167. #64944	C₂²	semidirect
168. #64944	C₂²	semidirect
169. #64944	C₂²	semidirect
170. #64944	C₂²	semidirect
171. #64943	C₂²	semidirect
172. #64943	C₂²	semidirect
173. #64943	C₂²	semidirect
174. #64942	C₂²	semidirect
175. #64942	C₂²	semidirect
176. #64942	C₂²	semidirect
177. #64942	C₂²	semidirect
178. #64941	C₂²	semidirect
179. #64941	C₂²	semidirect
180. #64941	C₂²	semidirect
181. #64940	C₂²	semidirect
182. #64938	C₂²	semidirect
183. #64938	C₂²	semidirect
184. #64938	C₂²	semidirect
185. #64938	C₂²	semidirect
186. #64936	C₂²	semidirect
363. #2653	D₅	semidirect
570. #401	C₂×D₅	semidirect
582. #398	C₂×D₅	semidirect
590. #397	C₂×D₅	semidirect
601. #393	C₂×D₅	semidirect
602. #391	C₂×D₅	semidirect
663. #387	C₂×D₅	semidirect
679. #385	C₂×D₅	semidirect
706. C₄×C₂²⋊C₄	C₂×D₅	semidirect
1380. C₅	#35027	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2653	2
#10610161	2
#10610146	2
#10609690	2
#10609510	2
#10609401	2
#10609261	2
#10609260	2
#10609213	2
#10608850	2
#10608843	2
#10608692	2
#10608668	2
#10608600	2
#10608599	2
#10608520	2
#10608515	2
#10608375	2
#10608210	2
#10607556	2
D₅×#388	2
#10607553	2
#10607391	2
#10607027	2
#10607025	2
#10606607	2
#10606601	2
#10606324	2
#10606319	2
#10605341	2
C₄×#4027	2
#35027	5