Subgroups — D₅×#2469 #12267502

Order 1280.

2594 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₅×#126	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×Q₈×D₅	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2469	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614809	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614204	C₂	1	1	yes	maximal, characteristic, complemented
6	D₅×#400	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609870	C₂	1	1	yes	maximal, characteristic, complemented
8	D₅×#396	C₂	1	1	yes	maximal, characteristic
9	#10609029	C₂	1	1	yes	maximal, characteristic, complemented
10	D₅×#395	C₂	1	1	yes	maximal, characteristic, complemented
11	#10608912	C₂	1	1	yes	maximal, characteristic, complemented
12	D₅×#393	C₂	1	1	yes	maximal, characteristic
13	#10608520	C₂	1	1	yes	maximal, characteristic, complemented
14	D₅×#389	C₂	1	1	yes	maximal, characteristic, complemented
15	#10607752	C₂	1	1	yes	maximal, characteristic, complemented
16	D₅×#388	C₂	1	1	yes	maximal, characteristic
17	D₅×#388	C₂	1	1	yes	maximal, characteristic
18	D₅×#388	C₂	1	1	yes	maximal, characteristic
19	D₅×#388	C₂	1	1	yes	maximal, characteristic
20	#10607255	C₂	1	1	yes	maximal, characteristic, complemented
21	#10607254	C₂	1	1	yes	maximal, characteristic, complemented
22	#10607253	C₂	1	1	yes	maximal, characteristic, complemented
23	#10607252	C₂	1	1	yes	maximal, characteristic, complemented
24	D₅×#387	C₂	1	1	yes	maximal, characteristic, complemented
25	D₅×#387	C₂	1	1	yes	maximal, characteristic, complemented
26	D₅×#387	C₂	1	1	yes	maximal, characteristic, complemented
27	#10606737	C₂	1	1	yes	maximal, characteristic, complemented
28	#10606736	C₂	1	1	yes	maximal, characteristic, complemented
29	#10606735	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605410	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
33	C₂×C₅×#126	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
36	D₅×#126	—	2	8	no	—
37	C₄×Q₈×D₅	—	2	8	no	—
38	C₂×#4044	C₂²	1	1	yes	characteristic
39	C₂×#4044	C₂²	1	1	yes	characteristic
40	C₂×#4044	C₂²	1	1	yes	characteristic
41	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
45	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
47	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
48	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
51	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
52	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
53	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
54	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
61	C₂×#4025	C₂²	1	1	yes	characteristic
62	C₂×#4025	C₂²	1	1	yes	characteristic
63	C₂×#4025	C₂²	1	1	yes	characteristic
64	C₂×#4022	C₂²	1	1	yes	characteristic
65	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
66	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
67	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
68	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
69	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
70	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
73	C₅×#400	C₂²	1	1	yes	characteristic, complemented
74	C₅×#396	C₂²	1	1	yes	characteristic
75	C₅×#395	C₂²	1	1	yes	characteristic, complemented
76	C₅×#393	C₂²	1	1	yes	characteristic
77	C₅×#389	C₂²	1	1	yes	characteristic, complemented
78	C₅×#388	C₂²	1	1	yes	characteristic
79	C₅×#388	C₂²	1	1	yes	characteristic
80	C₅×#388	C₂²	1	1	yes	characteristic
81	C₅×#388	C₂²	1	1	yes	characteristic
82	C₅×#387	C₂²	1	1	yes	characteristic, complemented
83	C₅×#387	C₂²	1	1	yes	characteristic, complemented
84	C₅×#387	C₂²	1	1	yes	characteristic, complemented
85	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
86	#65520	C₂²	1	1	yes	characteristic
87	#65518	C₂²	1	1	yes	characteristic, complemented
88	#65283	C₂²	1	1	yes	characteristic
89	#65283	C₂²	1	1	yes	characteristic
90	#65283	C₂²	1	1	yes	characteristic
91	#65279	C₂²	1	1	yes	characteristic
92	#65279	C₂²	1	1	yes	characteristic
93	#65279	C₂²	1	1	yes	characteristic
94	#65279	C₂²	1	1	yes	characteristic
95	#65275	C₂²	1	1	yes	characteristic, complemented
96	#65274	C₂²	1	1	yes	characteristic, complemented
97	#65271	C₂²	1	1	yes	characteristic, complemented
98	#65270	C₂²	1	1	yes	characteristic, complemented
99	#65270	C₂²	1	1	yes	characteristic, complemented
100	#65270	C₂²	1	1	yes	characteristic, complemented
101	#65268	C₂²	1	1	yes	characteristic, complemented
102	#65268	C₂²	1	1	yes	characteristic, complemented
103	#65268	C₂²	1	1	yes	characteristic, complemented
104	#65267	C₂²	1	1	yes	characteristic, complemented
105	#65267	C₂²	1	1	yes	characteristic, complemented
106	#65267	C₂²	1	1	yes	characteristic, complemented
107	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
109	#65262	C₂²	1	1	yes	characteristic, complemented
110	#65261	C₂²	1	1	yes	characteristic, complemented
111	#65261	C₂²	1	1	yes	characteristic, complemented
112	#65240	C₂²	1	1	yes	characteristic
113	#65240	C₂²	1	1	yes	characteristic
114	#65240	C₂²	1	1	yes	characteristic
115	#65240	C₂²	1	1	yes	characteristic
116	#65237	C₂²	1	1	yes	characteristic
117	#65237	C₂²	1	1	yes	characteristic
118	#65237	C₂²	1	1	yes	characteristic
119	#65236	C₂²	1	1	yes	characteristic
120	#65236	C₂²	1	1	yes	characteristic
121	#65236	C₂²	1	1	yes	characteristic
122	#65234	C₂²	1	1	yes	characteristic
123	#65234	C₂²	1	1	yes	characteristic
124	#65234	C₂²	1	1	yes	characteristic
125	#65234	C₂²	1	1	yes	characteristic
126	#65233	C₂²	1	1	yes	characteristic
127	#65233	C₂²	1	1	yes	characteristic
128	#65233	C₂²	1	1	yes	characteristic
129	#65233	C₂²	1	1	yes	characteristic
130	#65229	C₂²	1	1	yes	characteristic
131	#65229	C₂²	1	1	yes	characteristic
132	#65229	C₂²	1	1	yes	characteristic
133	#65229	C₂²	1	1	yes	characteristic
134	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
135	#65222	C₂²	1	1	yes	characteristic, complemented
136	#65222	C₂²	1	1	yes	characteristic, complemented
137	#65222	C₂²	1	1	yes	characteristic, complemented
138	C₄×#683	C₂²	1	1	yes	characteristic, complemented
139	C₄×#683	C₂²	1	1	yes	characteristic, complemented
140	#65217	C₂²	1	1	yes	characteristic, complemented
141	#64965	C₂²	1	1	yes	characteristic
142	#64962	C₂²	1	1	yes	characteristic
143	#64962	C₂²	1	1	yes	characteristic
144	#64962	C₂²	1	1	yes	characteristic
145	#64959	C₂²	1	1	yes	characteristic
146	#64959	C₂²	1	1	yes	characteristic
147	#64959	C₂²	1	1	yes	characteristic
148	#64959	C₂²	1	1	yes	characteristic
149	#64958	C₂²	1	1	yes	characteristic
150	#64958	C₂²	1	1	yes	characteristic
151	#64958	C₂²	1	1	yes	characteristic
152	#64958	C₂²	1	1	yes	characteristic
153	D₅×#95	C₂²	1	1	yes	characteristic
154	D₅×#95	C₂²	1	1	yes	characteristic
155	D₅×#95	C₂²	1	1	yes	characteristic
156	D₅×#95	C₂²	1	1	yes	characteristic
157	D₅×#95	C₂²	1	1	yes	characteristic
158	D₅×#95	C₂²	1	1	yes	characteristic
159	D₅×#95	C₂²	1	1	yes	characteristic
160	D₅×#95	C₂²	1	1	yes	characteristic
161	D₅×#95	C₂²	1	1	yes	characteristic
162	D₅×#95	C₂²	1	1	yes	characteristic
163	D₅×#95	C₂²	1	1	yes	characteristic
164	D₅×#95	C₂²	1	1	yes	characteristic
165	#64949	C₂²	1	1	yes	characteristic, complemented
166	#64949	C₂²	1	1	yes	characteristic, complemented
167	#64948	C₂²	1	1	yes	characteristic, complemented
168	#64947	C₂²	1	1	yes	characteristic, complemented
169	#64947	C₂²	1	1	yes	characteristic, complemented
170	#64945	C₂²	1	1	yes	characteristic, complemented
171	#64945	C₂²	1	1	yes	characteristic, complemented
172	#64945	C₂²	1	1	yes	characteristic, complemented
173	#64944	C₂²	1	1	yes	characteristic, complemented
174	#64944	C₂²	1	1	yes	characteristic, complemented
175	#64944	C₂²	1	1	yes	characteristic, complemented
176	#64943	C₂²	1	1	yes	characteristic, complemented
177	#64943	C₂²	1	1	yes	characteristic, complemented
178	#64943	C₂²	1	1	yes	characteristic, complemented
179	#64942	C₂²	1	1	yes	characteristic, complemented
180	#64942	C₂²	1	1	yes	characteristic, complemented
181	#64942	C₂²	1	1	yes	characteristic, complemented
182	#64941	C₂²	1	1	yes	characteristic, complemented
183	#64941	C₂²	1	1	yes	characteristic, complemented
184	#64941	C₂²	1	1	yes	characteristic, complemented
185	#64938	C₂²	1	1	yes	characteristic, complemented
186	#64938	C₂²	1	1	yes	characteristic, complemented
187	#64936	C₂²	1	1	yes	characteristic, complemented
188	#64936	C₂²	1	1	yes	characteristic, complemented
189	C₂×#2469	—	5	1	no	maximal, Sylow
190	C₂⁴×D₅	C₂³	1	1	yes	characteristic
191	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
192	C₂×Q₈×D₅	—	2	4	no	—
193	C₂×Q₈×D₅	—	2	4	no	—
194	C₂×Q₈×D₅	—	2	4	no	—
195	C₂²×C₄×D₅	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	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₅	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×Dic₁₀	C₂³	1	1	yes	characteristic
210	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
211	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
212	C₅×#126	—	2	4	no	—
213	C₄×C₅×Q₈	—	2	4	no	—
214	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₅×C₄⋊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×C₄²×C₅	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₅	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	Q₈×Dic₅	—	2	4	no	—
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×#685	C₂³	1	1	yes	characteristic
256	C₂×#685	C₂³	1	1	yes	characteristic
257	C₂×#685	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
268	C₂×#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×#683	C₂³	1	1	yes	characteristic
281	C₂×#683	C₂³	1	1	yes	characteristic
282	C₂×#683	C₂³	1	1	yes	characteristic
283	C₂×#683	C₂³	1	1	yes	characteristic
284	C₂×#683	C₂³	1	1	yes	characteristic
285	C₂×#683	C₂³	1	1	yes	characteristic
286	C₂×#683	C₂³	1	1	yes	characteristic
287	C₂×#683	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	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
303	#4044	—	2	4	no	—
304	#4044	—	2	4	no	—
305	#4044	—	2	4	no	—
306	D₅×C₄⋊C₄	—	2	4	no	—
307	D₅×C₄⋊C₄	—	2	4	no	—
308	D₅×C₄⋊C₄	—	2	4	no	—
309	D₅×C₄⋊C₄	—	2	4	no	—
310	D₅×C₄⋊C₄	—	2	4	no	—
311	D₅×C₄⋊C₄	—	2	4	no	—
312	D₅×C₄⋊C₄	—	2	4	no	—
313	D₅×C₄⋊C₄	—	2	4	no	—
314	D₅×C₄⋊C₄	—	2	4	no	—
315	D₅×C₄⋊C₄	D₄	1	8	yes	—
316	#4033	—	2	4	no	—
317	#4033	—	2	4	no	—
318	#4033	—	2	4	no	—
319	D₅×C₂²⋊C₄	—	2	4	no	—
320	D₅×C₂²⋊C₄	—	2	4	no	—
321	D₅×C₂²⋊C₄	—	2	4	no	—
322	D₅×C₂²⋊C₄	—	2	4	no	—
323	D₅×C₂²⋊C₄	—	2	4	no	—
324	D₅×C₂²⋊C₄	—	2	4	no	—
325	D₅×C₂²⋊C₄	—	2	4	no	—
326	#4025	—	2	4	no	—
327	#4025	—	2	4	no	—
328	#4025	—	2	4	no	—
329	#4022	—	2	4	no	—
330	C₄²×D₅	—	2	4	no	—
331	C₄²×D₅	—	2	4	no	—
332	C₄²×D₅	—	2	4	no	—
333	C₄²×D₅	—	2	4	no	—
334	C₄²×D₅	—	2	4	no	—
335	C₄×Dic₁₀	—	2	4	no	—
336	C₄×Dic₁₀	—	2	4	no	—
337	C₄×Dic₁₀	—	2	4	no	—
338	C₅×#95	C₂³	1	1	yes	characteristic
339	C₅×#95	C₂³	1	1	yes	characteristic
340	C₅×#95	C₂³	1	1	yes	characteristic
341	C₅×#95	C₂³	1	1	yes	characteristic
342	C₅×#95	C₂³	1	1	yes	characteristic
343	C₅×#95	C₂³	1	1	yes	characteristic
344	C₅×#95	C₂³	1	1	yes	characteristic
345	C₅×#95	C₂³	1	1	yes	characteristic
346	C₅×#95	C₂³	1	1	yes	characteristic
347	C₅×#95	C₂³	1	1	yes	characteristic
348	C₅×#95	C₂³	1	1	yes	characteristic
349	C₅×#95	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	#3963	C₂³	1	1	yes	characteristic
365	#3963	C₂³	1	1	yes	characteristic
366	#3963	C₂³	1	1	yes	characteristic
367	#3963	C₂³	1	1	yes	characteristic
368	#3963	C₂³	1	1	yes	characteristic
369	#3963	C₂³	1	1	yes	characteristic
370	#3963	C₂³	1	1	yes	characteristic
371	#3963	C₂³	1	1	yes	characteristic
372	#3963	C₂³	1	1	yes	characteristic
373	#3963	C₂³	1	1	yes	characteristic
374	#3963	C₂³	1	1	yes	characteristic
375	#3963	C₂³	1	1	yes	characteristic
376	#3963	C₂³	1	1	yes	characteristic
377	#3963	C₂³	1	1	yes	characteristic
378	#3963	C₂³	1	1	yes	characteristic
379	#3963	C₂³	1	1	yes	characteristic
380	#3963	C₂³	1	1	yes	characteristic
381	#3963	C₂³	1	1	yes	characteristic
382	#3963	C₂³	1	1	yes	characteristic
383	#3963	C₂³	1	1	yes	characteristic
384	#3963	C₂³	1	1	yes	characteristic
385	#3963	C₂³	1	1	yes	characteristic
386	C₂²×#126	—	5	1	no	—
387	C₂²×C₄×Q₈	—	5	1	no	—
388	#2469	—	5	1	no	—
389	#2469	—	5	1	no	—
390	#2469	—	5	1	no	—
391	#2469	—	5	1	no	—
392	#2469	—	5	1	no	—
393	#2469	—	5	1	no	—
394	#2469	—	5	1	no	—
395	#2469	—	5	1	no	—
396	#2469	—	5	1	no	—
397	#2469	—	5	1	no	—
398	#2469	—	5	1	no	—
399	#2469	—	5	1	no	—
400	#2469	—	5	1	no	—
401	#2469	—	5	1	no	—
402	#2469	—	5	1	no	—
403	#2469	D₅	1	1	yes	characteristic, direct product factor
404	C₂×#400	—	5	1	no	—
405	C₂×#396	—	5	1	no	—
406	C₂×#395	—	5	1	no	—
407	C₂×#393	—	5	1	no	—
408	C₂×#389	—	5	1	no	—
409	C₂×#388	—	5	1	no	—
410	C₂×#388	—	5	1	no	—
411	C₂×#388	—	5	1	no	—
412	C₂×#388	—	5	1	no	—
413	C₂×#387	—	5	1	no	—
414	C₂×#387	—	5	1	no	—
415	C₂×#387	—	5	1	no	—
416	C₂×C₄×C₄⋊C₄	—	5	1	no	—
417	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
418	C₂³×D₅	—	2	2	no	—
419	C₂³×D₅	—	2	2	no	—
420	C₂³×D₅	—	2	2	no	—
421	C₂³×D₅	—	2	2	no	—
422	C₂³×D₅	—	2	2	no	—
423	C₂³×D₅	—	2	2	no	—
424	C₂³×D₅	—	2	2	no	—
425	C₂³×D₅	C₂⁴	1	1	yes	characteristic
426	C₂³×D₅	C₂⁴	1	1	yes	characteristic
427	C₂×C₅×Q₈	—	2	2	no	—
428	C₂×C₅×Q₈	—	2	2	no	—
429	C₂×C₅×Q₈	—	2	2	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	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
456	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
457	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
458	Q₈×D₅	—	2	32	no	—
459	C₂×C₄×D₅	—	2	2	no	—
460	C₂×C₄×D₅	—	2	2	no	—
461	C₂×C₄×D₅	—	2	2	no	—
462	C₂×C₄×D₅	—	2	2	no	—
463	C₂×C₄×D₅	—	2	2	no	—
464	C₂×C₄×D₅	—	2	2	no	—
465	C₂×C₄×D₅	—	2	2	no	—
466	C₂×C₄×D₅	—	2	2	no	—
467	C₂×C₄×D₅	—	2	2	no	—
468	C₂×C₄×D₅	—	2	2	no	—
469	C₂×C₄×D₅	—	2	2	no	—
470	C₂×C₄×D₅	—	2	2	no	—
471	C₂×C₄×D₅	—	2	2	no	—
472	C₂×C₄×D₅	—	2	2	no	—
473	C₂×C₄×D₅	—	2	2	no	—
474	C₂×C₄×D₅	—	2	2	no	—
475	C₂×C₄×D₅	—	2	2	no	—
476	C₂×C₄×D₅	—	2	2	no	—
477	C₂×C₄×D₅	—	2	2	no	—
478	C₂×C₄×D₅	—	2	2	no	—
479	C₂×C₄×D₅	—	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	—	2	2	no	—
491	C₂×C₄×D₅	—	2	2	no	—
492	C₂×C₄×D₅	—	2	2	no	—
493	C₂×C₄×D₅	—	2	2	no	—
494	C₂×C₄×D₅	C₂×D₄	1	4	yes	—
495	C₂×C₄×D₅	C₂×D₄	1	4	yes	—
496	C₂×C₄×D₅	C₂×D₄	1	4	yes	—
497	C₂×C₄×D₅	#41	1	4	yes	—
498	C₂×C₄×D₅	#41	1	4	yes	—
499	C₂×C₄×D₅	#41	1	4	yes	—
500	C₂×C₄×D₅	#41	1	4	yes	—
501	C₂×Dic₁₀	—	2	2	no	—
502	C₂×Dic₁₀	—	2	2	no	—
503	C₂×Dic₁₀	—	2	2	no	—
504	C₂×Dic₁₀	—	2	2	no	—
505	C₂×Dic₁₀	—	2	2	no	—
506	C₂×Dic₁₀	—	2	2	no	—
507	C₂×Dic₁₀	—	2	2	no	—
508	C₂×Dic₁₀	—	2	2	no	—
509	C₂×Dic₁₀	—	2	2	no	—
510	C₅×C₄⋊C₄	—	2	2	no	—
511	C₅×C₄⋊C₄	—	2	2	no	—
512	C₅×C₄⋊C₄	—	2	2	no	—
513	C₅×C₄⋊C₄	—	2	2	no	—
514	C₅×C₄⋊C₄	—	2	2	no	—
515	C₅×C₄⋊C₄	—	2	2	no	—
516	C₅×C₄⋊C₄	—	2	2	no	—
517	C₅×C₄⋊C₄	—	2	2	no	—
518	C₅×C₄⋊C₄	—	2	2	no	—
519	C₅×C₄⋊C₄	C₂×D₄	1	4	yes	—
520	C₅×C₂²⋊C₄	—	2	2	no	—
521	C₅×C₂²⋊C₄	—	2	2	no	—
522	C₅×C₂²⋊C₄	—	2	2	no	—
523	C₅×C₂²⋊C₄	—	2	2	no	—
524	C₅×C₂²⋊C₄	—	2	2	no	—
525	C₅×C₂²⋊C₄	—	2	2	no	—
526	C₅×C₂²⋊C₄	—	2	2	no	—
527	C₄²×C₅	—	2	2	no	—
528	C₄²×C₅	—	2	2	no	—
529	C₄²×C₅	—	2	2	no	—
530	C₄²×C₅	—	2	2	no	—
531	C₄²×C₅	—	2	2	no	—
532	C₂²⋊Dic₅	—	2	2	no	—
533	C₂²⋊Dic₅	—	2	2	no	—
534	C₂²⋊Dic₅	—	2	2	no	—
535	C₂²⋊Dic₅	—	2	2	no	—
536	C₂²⋊Dic₅	—	2	2	no	—
537	C₂²⋊Dic₅	—	2	2	no	—
538	C₂²⋊Dic₅	—	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	—	2	2	no	—
549	#685	—	2	2	no	—
550	#685	—	2	2	no	—
551	#685	—	2	2	no	—
552	#685	—	2	2	no	—
553	C₄⋊Dic₅	—	2	2	no	—
554	C₄⋊Dic₅	—	2	2	no	—
555	C₄⋊Dic₅	—	2	2	no	—
556	C₄⋊Dic₅	—	2	2	no	—
557	C₄⋊Dic₅	—	2	2	no	—
558	C₄⋊Dic₅	—	2	2	no	—
559	C₄⋊Dic₅	—	2	2	no	—
560	C₄⋊Dic₅	—	2	2	no	—
561	C₄⋊Dic₅	—	2	2	no	—
562	C₄⋊Dic₅	C₂×D₄	1	4	yes	—
563	#683	—	2	2	no	—
564	#683	—	2	2	no	—
565	#683	—	2	2	no	—
566	#683	—	2	2	no	—
567	#683	—	2	2	no	—
568	#683	—	2	2	no	—
569	#683	—	2	2	no	—
570	#683	—	2	2	no	—
571	#683	—	2	2	no	—
572	#683	—	2	2	no	—
573	#683	—	2	2	no	—
574	#683	—	2	2	no	—
575	#683	—	2	2	no	—
576	#683	—	2	2	no	—
577	#683	—	2	2	no	—
578	#683	—	2	2	no	—
579	#683	—	2	2	no	—
580	#683	—	2	2	no	—
581	#683	C₂×D₄	1	4	yes	—
582	#683	C₂×D₄	1	4	yes	—
583	C₄×Dic₅	—	2	2	no	—
584	C₄×Dic₅	—	2	2	no	—
585	C₄×Dic₅	—	2	2	no	—
586	C₄×Dic₅	—	2	2	no	—
587	C₄×Dic₅	—	2	2	no	—
588	C₄×Dic₅	—	2	2	no	—
589	C₄×Dic₅	—	2	2	no	—
590	C₄×Dic₅	—	2	2	no	—
591	C₄×Dic₅	—	2	2	no	—
592	C₄×Dic₅	—	2	2	no	—
593	C₄×Dic₅	—	2	2	no	—
594	C₄×Dic₅	—	2	2	no	—
595	C₄×Dic₅	—	2	2	no	—
596	C₄×Dic₅	—	2	2	no	—
597	C₄×Dic₅	—	2	2	no	—
598	C₂³×Q₈	—	5	1	no	—
599	C₂×#126	—	5	1	no	—
600	C₂×#126	—	5	1	no	—
601	C₂×#126	—	5	1	no	—
602	C₂×#126	—	5	1	no	—
603	C₂×#126	—	5	1	no	—
604	C₂×#126	—	5	1	no	—
605	C₂×#126	—	5	1	no	—
606	C₂×#126	—	10	8	no	—
607	C₂×#126	C₂×D₅	1	1	yes	characteristic
608	C₂×C₄×Q₈	—	5	1	no	—
609	C₂×C₄×Q₈	—	5	1	no	—
610	C₂×C₄×Q₈	—	5	1	no	—
611	C₂×C₄×Q₈	—	5	1	no	—
612	C₂×C₄×Q₈	—	5	1	no	—
613	C₂×C₄×Q₈	—	5	1	no	—
614	C₂×C₄×Q₈	—	5	1	no	—
615	C₂×C₄×Q₈	—	10	8	no	—
616	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
617	C₂²×C₄⋊C₄	—	5	1	no	—
618	C₂²×C₄⋊C₄	—	5	1	no	—
619	C₂²×C₄⋊C₄	—	5	1	no	—
620	C₂²×C₄⋊C₄	—	5	1	no	—
621	C₂²×C₄⋊C₄	—	5	1	no	—
622	C₂²×C₄⋊C₄	—	5	1	no	—
623	C₂²×C₄⋊C₄	—	5	1	no	—
624	C₂²×C₄⋊C₄	—	5	1	no	—
625	C₂²×C₄⋊C₄	—	5	1	no	—
626	C₂²×C₄⋊C₄	—	5	1	no	—
627	C₂²×C₂²⋊C₄	—	5	1	no	—
628	C₂²×C₂²⋊C₄	—	5	1	no	—
629	C₂²×C₂²⋊C₄	—	5	1	no	—
630	C₂²×C₂²⋊C₄	—	5	1	no	—
631	C₂²×C₂²⋊C₄	—	5	1	no	—
632	C₂²×C₂²⋊C₄	—	5	1	no	—
633	C₂²×C₂²⋊C₄	—	5	1	no	—
634	C₂²×C₄²	—	5	1	no	—
635	C₂²×C₄²	—	5	1	no	—
636	C₂²×C₄²	—	5	1	no	—
637	C₂²×C₄²	—	5	1	no	—
638	C₂²×C₄²	—	5	1	no	—
639	#400	—	5	1	no	—
640	#400	—	5	1	no	—
641	#400	—	5	1	no	—
642	#400	—	5	1	no	—
643	#400	—	5	1	no	—
644	#400	—	5	1	no	—
645	#400	—	5	1	no	—
646	#400	C₂×D₅	1	1	yes	characteristic, complemented
647	#396	—	5	1	no	—
648	#396	—	5	1	no	—
649	#396	—	5	1	no	—
650	#396	—	5	1	no	—
651	#396	—	5	1	no	—
652	#396	—	5	1	no	—
653	#396	—	5	1	no	—
654	#396	C₂×D₅	1	1	yes	characteristic
655	#395	—	5	1	no	—
656	#395	—	5	1	no	—
657	#395	—	5	1	no	—
658	#395	—	5	1	no	—
659	#395	—	5	1	no	—
660	#395	—	5	1	no	—
661	#395	—	5	1	no	—
662	#395	C₂×D₅	1	1	yes	characteristic, complemented
663	#393	—	5	1	no	—
664	#393	—	5	1	no	—
665	#393	—	5	1	no	—
666	#393	—	5	1	no	—
667	#393	—	5	1	no	—
668	#393	—	5	1	no	—
669	#393	—	5	1	no	—
670	#393	C₂×D₅	1	1	yes	characteristic
671	#389	—	5	1	no	—
672	#389	—	5	1	no	—
673	#389	—	5	1	no	—
674	#389	—	5	1	no	—
675	#389	—	5	1	no	—
676	#389	—	5	1	no	—
677	#389	—	5	1	no	—
678	#389	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
687	#388	—	5	1	no	—
688	#388	—	5	1	no	—
689	#388	—	5	1	no	—
690	#388	—	5	1	no	—
691	#388	—	5	1	no	—
692	#388	—	5	1	no	—
693	#388	—	5	1	no	—
694	#388	—	5	1	no	—
695	#388	—	5	1	no	—
696	#388	—	5	1	no	—
697	#388	—	5	1	no	—
698	#388	—	5	1	no	—
699	#388	—	5	1	no	—
700	#388	—	5	1	no	—
701	#388	—	5	1	no	—
702	#388	—	5	1	no	—
703	#388	—	5	1	no	—
704	#388	—	5	1	no	—
705	#388	—	5	1	no	—
706	#388	—	5	1	no	—
707	#388	C₂×D₅	1	1	yes	characteristic
708	#388	C₂×D₅	1	1	yes	characteristic
709	#388	C₂×D₅	1	1	yes	characteristic
710	#388	C₂×D₅	1	1	yes	characteristic
711	#387	—	5	1	no	—
712	#387	—	5	1	no	—
713	#387	—	5	1	no	—
714	#387	—	5	1	no	—
715	#387	—	5	1	no	—
716	#387	—	5	1	no	—
717	#387	—	5	1	no	—
718	#387	—	5	1	no	—
719	#387	—	5	1	no	—
720	#387	—	5	1	no	—
721	#387	—	5	1	no	—
722	#387	—	5	1	no	—
723	#387	—	5	1	no	—
724	#387	—	5	1	no	—
725	#387	—	5	1	no	—
726	#387	—	5	1	no	—
727	#387	—	5	1	no	—
728	#387	—	5	1	no	—
729	#387	—	5	1	no	—
730	#387	—	5	1	no	—
731	#387	—	5	1	no	—
732	#387	C₂×D₅	1	1	yes	characteristic, complemented
733	#387	C₂×D₅	1	1	yes	characteristic, complemented
734	#387	C₂×D₅	1	1	yes	characteristic, complemented
735	C₄×C₄⋊C₄	—	5	1	no	—
736	C₄×C₄⋊C₄	—	5	1	no	—
737	C₄×C₄⋊C₄	—	5	1	no	—
738	C₄×C₄⋊C₄	—	5	1	no	—
739	C₄×C₄⋊C₄	—	5	1	no	—
740	C₄×C₄⋊C₄	—	5	1	no	—
741	C₄×C₄⋊C₄	—	5	1	no	—
742	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
743	C₂×#95	—	5	1	no	—
744	C₂×#95	—	5	1	no	—
745	C₂×#95	—	5	1	no	—
746	C₂×#95	—	5	1	no	—
747	C₂×#95	—	5	1	no	—
748	C₂×#95	—	5	1	no	—
749	C₂×#95	—	5	1	no	—
750	C₂×#95	—	5	1	no	—
751	C₂×#95	—	5	1	no	—
752	C₂×#95	—	5	1	no	—
753	C₂×#95	—	5	1	no	—
754	C₂×#95	—	5	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	C₂⁵	1	1	yes	characteristic
763	C₂²×D₅	—	2	1	no	—
764	C₂²×D₅	—	2	1	no	—
765	C₂²×D₅	—	2	1	no	—
766	C₂²×D₅	—	2	1	no	—
767	C₂²×D₅	—	2	1	no	—
768	C₂²×D₅	—	2	1	no	—
769	C₂²×D₅	—	2	1	no	—
770	C₂²×D₅	—	4	4	no	—
771	C₂²×D₅	—	4	4	no	—
772	C₂²×D₅	—	4	4	no	—
773	C₂²×D₅	—	4	4	no	—
774	C₂²×D₅	—	4	4	no	—
775	C₂²×D₅	—	4	4	no	—
776	C₂²×D₅	—	4	4	no	—
777	C₂²×D₅	C₂²×D₄	1	2	yes	—
778	C₂²×D₅	C₂×#41	1	2	yes	—
779	C₂²×D₅	C₂×#41	1	2	yes	—
780	C₂²×D₅	C₂×#41	1	2	yes	—
781	C₂²×D₅	C₂×#41	1	2	yes	—
782	C₂²×D₅	2₋¹⁺⁴	1	2	yes	—
783	C₂²×D₅	2₋¹⁺⁴	1	2	yes	—
784	C₅×Q₈	—	2	8	no	—
785	C₂×C₄×C₅	—	2	1	no	—
786	C₂×C₄×C₅	—	2	1	no	—
787	C₂×C₄×C₅	—	2	1	no	—
788	C₂×C₄×C₅	—	2	1	no	—
789	C₂×C₄×C₅	—	2	1	no	—
790	C₂×C₄×C₅	—	2	1	no	—
791	C₂×C₄×C₅	—	2	1	no	—
792	C₂×C₄×C₅	—	2	1	no	—
793	C₂×C₄×C₅	—	2	1	no	—
794	C₂×C₄×C₅	—	2	1	no	—
795	C₂×C₄×C₅	—	2	1	no	—
796	C₂×C₄×C₅	—	2	1	no	—
797	C₂×C₄×C₅	—	2	1	no	—
798	C₂×C₄×C₅	—	2	1	no	—
799	C₂×C₄×C₅	—	2	1	no	—
800	C₂×C₄×C₅	—	2	1	no	—
801	C₂×C₄×C₅	—	2	1	no	—
802	C₂×C₄×C₅	—	2	1	no	—
803	C₂×C₄×C₅	—	2	1	no	—
804	C₂×C₄×C₅	—	2	1	no	—
805	C₂×C₄×C₅	—	2	1	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	C₂²×D₄	1	2	yes	—
821	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
822	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
823	C₂×C₄×C₅	C₂×#41	1	2	yes	—
824	C₂×C₄×C₅	C₂×#41	1	2	yes	—
825	C₂×C₄×C₅	C₂×#41	1	2	yes	—
826	C₂×C₄×C₅	C₂×#41	1	2	yes	—
827	C₂×Dic₅	—	2	1	no	—
828	C₂×Dic₅	—	2	1	no	—
829	C₂×Dic₅	—	2	1	no	—
830	C₂×Dic₅	—	2	1	no	—
831	C₂×Dic₅	—	2	1	no	—
832	C₂×Dic₅	—	2	1	no	—
833	C₂×Dic₅	—	2	1	no	—
834	C₂×Dic₅	—	2	1	no	—
835	C₂×Dic₅	—	2	1	no	—
836	C₂×Dic₅	—	2	1	no	—
837	C₂×Dic₅	—	2	1	no	—
838	C₂×Dic₅	—	2	1	no	—
839	C₂×Dic₅	—	2	1	no	—
840	C₂×Dic₅	—	2	1	no	—
841	C₂×Dic₅	—	2	1	no	—
842	C₂×Dic₅	—	2	1	no	—
843	C₂×Dic₅	—	2	1	no	—
844	C₂×Dic₅	—	2	1	no	—
845	C₂×Dic₅	—	2	1	no	—
846	C₂×Dic₅	—	2	1	no	—
847	C₂×Dic₅	—	2	1	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	C₂²×D₄	1	2	yes	—
863	C₂×Dic₅	C₂²×D₄	1	2	yes	—
864	C₂×Dic₅	C₂²×D₄	1	2	yes	—
865	C₂×Dic₅	C₂×#41	1	2	yes	—
866	C₂×Dic₅	C₂×#41	1	2	yes	—
867	C₂×Dic₅	C₂×#41	1	2	yes	—
868	C₂×Dic₅	C₂×#41	1	2	yes	—
869	C₄×D₅	—	2	8	no	—
870	C₄×D₅	—	2	8	no	—
871	C₄×D₅	—	2	8	no	—
872	C₄×D₅	—	2	8	no	—
873	C₄×D₅	—	2	8	no	—
874	C₄×D₅	—	2	8	no	—
875	C₄×D₅	—	2	8	no	—
876	C₄×D₅	—	4	4	no	—
877	C₄×D₅	—	4	4	no	—
878	C₄×D₅	—	4	4	no	—
879	C₄×D₅	—	4	4	no	—
880	C₄×D₅	—	4	4	no	—
881	C₄×D₅	—	4	4	no	—
882	C₄×D₅	—	4	4	no	—
883	Dic₁₀	—	2	8	no	—
884	Dic₁₀	—	2	8	no	—
885	Dic₁₀	—	2	8	no	—
886	C₂⁵	—	5	1	no	—
887	C₂²×Q₈	—	5	1	no	—
888	C₂²×Q₈	—	5	1	no	—
889	C₂²×Q₈	—	5	1	no	—
890	C₂²×Q₈	—	10	4	no	—
891	C₂²×Q₈	—	10	4	no	—
892	C₂²×Q₈	—	10	4	no	—
893	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
894	C₂³×C₄	—	5	1	no	—
895	C₂³×C₄	—	5	1	no	—
896	C₂³×C₄	—	5	1	no	—
897	C₂³×C₄	—	5	1	no	—
898	C₂³×C₄	—	5	1	no	—
899	C₂³×C₄	—	5	1	no	—
900	C₂³×C₄	—	5	1	no	—
901	C₂³×C₄	—	5	1	no	—
902	C₂³×C₄	—	5	1	no	—
903	C₂³×C₄	—	5	1	no	—
904	C₂³×C₄	—	5	1	no	—
905	C₂³×C₄	—	5	1	no	—
906	C₂³×C₄	—	5	1	no	—
907	C₂³×C₄	—	5	1	no	—
908	#126	—	2	4	no	—
909	#126	—	10	4	no	—
910	#126	—	10	4	no	—
911	#126	—	10	4	no	—
912	#126	—	10	4	no	—
913	#126	—	10	4	no	—
914	#126	—	10	4	no	—
915	#126	—	10	4	no	—
916	C₄×Q₈	—	2	4	no	—
917	C₄×Q₈	—	10	4	no	—
918	C₄×Q₈	—	10	4	no	—
919	C₄×Q₈	—	10	4	no	—
920	C₄×Q₈	—	10	4	no	—
921	C₄×Q₈	—	10	4	no	—
922	C₄×Q₈	—	10	4	no	—
923	C₄×Q₈	—	10	4	no	—
924	C₂×C₄⋊C₄	—	5	1	no	—
925	C₂×C₄⋊C₄	—	5	1	no	—
926	C₂×C₄⋊C₄	—	5	1	no	—
927	C₂×C₄⋊C₄	—	5	8	no	—
928	C₂×C₄⋊C₄	—	5	1	no	—
929	C₂×C₄⋊C₄	—	5	1	no	—
930	C₂×C₄⋊C₄	—	5	1	no	—
931	C₂×C₄⋊C₄	—	5	1	no	—
932	C₂×C₄⋊C₄	—	5	1	no	—
933	C₂×C₄⋊C₄	—	5	1	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	—	5	1	no	—
955	C₂×C₄⋊C₄	—	10	4	no	—
956	C₂×C₄⋊C₄	—	10	4	no	—
957	C₂×C₄⋊C₄	—	10	4	no	—
958	C₂×C₄⋊C₄	—	10	4	no	—
959	C₂×C₄⋊C₄	—	10	4	no	—
960	C₂×C₄⋊C₄	—	10	4	no	—
961	C₂×C₄⋊C₄	—	10	4	no	—
962	C₂×C₄⋊C₄	—	10	4	no	—
963	C₂×C₄⋊C₄	—	10	4	no	—
964	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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	—	10	4	no	—
996	C₂×C₂²⋊C₄	—	10	4	no	—
997	C₂×C₂²⋊C₄	—	10	4	no	—
998	C₂×C₂²⋊C₄	—	10	4	no	—
999	C₂×C₂²⋊C₄	—	10	4	no	—
1000	C₂×C₂²⋊C₄	—	10	4	no	—
1001	C₂×C₂²⋊C₄	—	10	4	no	—
1002	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1004	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1009	C₂×C₄²	—	5	1	no	—
1010	C₂×C₄²	—	5	1	no	—
1011	C₂×C₄²	—	5	1	no	—
1012	C₂×C₄²	—	5	1	no	—
1013	C₂×C₄²	—	5	1	no	—
1014	C₂×C₄²	—	5	1	no	—
1015	C₂×C₄²	—	5	1	no	—
1016	C₂×C₄²	—	5	1	no	—
1017	C₂×C₄²	—	5	1	no	—
1018	C₂×C₄²	—	5	1	no	—
1019	C₂×C₄²	—	5	1	no	—
1020	C₂×C₄²	—	5	1	no	—
1021	C₂×C₄²	—	5	1	no	—
1022	C₂×C₄²	—	5	1	no	—
1023	C₂×C₄²	—	5	1	no	—
1024	C₂×C₄²	—	10	4	no	—
1025	C₂×C₄²	—	10	4	no	—
1026	C₂×C₄²	—	10	4	no	—
1027	C₂×C₄²	—	10	4	no	—
1028	C₂×C₄²	—	10	4	no	—
1029	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1030	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1031	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1032	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1033	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1066	#95	—	5	1	no	—
1067	#95	—	5	1	no	—
1068	#95	—	5	1	no	—
1069	#95	—	5	1	no	—
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	#95	C₂²×D₅	1	1	yes	characteristic
1074	#95	C₂²×D₅	1	1	yes	characteristic
1075	#95	C₂²×D₅	1	1	yes	characteristic
1076	#95	C₂²×D₅	1	1	yes	characteristic
1077	#95	C₂²×D₅	1	1	yes	characteristic
1078	#95	C₂²×D₅	1	1	yes	characteristic
1079	#95	C₂²×D₅	1	1	yes	characteristic
1080	#95	C₂²×D₅	1	1	yes	characteristic
1081	#95	C₂²×D₅	1	1	yes	characteristic
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	C₂³×D₄	1	1	yes	characteristic
1090	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1091	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1092	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1093	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1094	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1095	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1096	C₂×D₅	—	4	1	no	—
1097	C₂×D₅	—	4	1	no	—
1098	C₂×D₅	—	4	1	no	—
1099	C₂×D₅	—	4	1	no	—
1100	C₂×D₅	—	4	1	no	—
1101	C₂×D₅	—	4	1	no	—
1102	C₂×D₅	—	4	1	no	—
1103	C₂×D₅	—	8	8	no	—
1104	C₂×D₅	#525	1	4	yes	—
1105	C₂×D₅	#529	1	4	yes	—
1106	C₂×D₅	#541	1	4	yes	—
1107	C₂×D₅	#547	1	4	yes	—
1108	C₂×D₅	#548	1	4	yes	—
1109	C₂×D₅	#556	1	4	yes	—
1110	C₂×D₅	#556	1	4	yes	—
1111	C₄×C₅	—	2	2	no	—
1112	C₄×C₅	—	2	2	no	—
1113	C₄×C₅	—	2	2	no	—
1114	C₄×C₅	—	2	2	no	—
1115	C₄×C₅	—	2	2	no	—
1116	C₄×C₅	—	2	2	no	—
1117	C₄×C₅	—	2	2	no	—
1118	C₄×C₅	—	4	1	no	—
1119	C₄×C₅	—	4	1	no	—
1120	C₄×C₅	—	4	1	no	—
1121	C₄×C₅	—	4	1	no	—
1122	C₄×C₅	—	4	1	no	—
1123	C₄×C₅	—	4	1	no	—
1124	C₄×C₅	—	4	1	no	—
1125	Dic₅	—	2	2	no	—
1126	Dic₅	—	2	2	no	—
1127	Dic₅	—	2	2	no	—
1128	Dic₅	—	2	2	no	—
1129	Dic₅	—	2	2	no	—
1130	Dic₅	—	2	2	no	—
1131	Dic₅	—	2	2	no	—
1132	Dic₅	—	4	1	no	—
1133	Dic₅	—	4	1	no	—
1134	Dic₅	—	4	1	no	—
1135	Dic₅	—	4	1	no	—
1136	Dic₅	—	4	1	no	—
1137	Dic₅	—	4	1	no	—
1138	Dic₅	—	4	1	no	—
1139	C₂⁴	—	5	1	no	—
1140	C₂⁴	—	5	1	no	—
1141	C₂⁴	—	10	2	no	—
1142	C₂⁴	—	10	2	no	—
1143	C₂⁴	—	10	2	no	—
1144	C₂⁴	—	10	2	no	—
1145	C₂⁴	—	10	2	no	—
1146	C₂⁴	—	10	2	no	—
1147	C₂⁴	—	10	2	no	—
1148	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1149	C₂×Q₈	—	2	2	no	—
1150	C₂×Q₈	—	2	2	no	—
1151	C₂×Q₈	—	2	2	no	—
1152	C₂×Q₈	—	10	2	no	—
1153	C₂×Q₈	—	10	2	no	—
1154	C₂×Q₈	—	10	2	no	—
1155	C₂×Q₈	—	10	2	no	—
1156	C₂×Q₈	—	10	2	no	—
1157	C₂×Q₈	—	10	2	no	—
1158	C₂×Q₈	—	10	32	no	—
1159	C₂×Q₈	—	10	2	no	—
1160	C₂×Q₈	—	10	2	no	—
1161	C₂×Q₈	—	10	2	no	—
1162	C₂²×C₄	—	5	1	no	—
1163	C₂²×C₄	—	5	1	no	—
1164	C₂²×C₄	—	5	1	no	—
1165	C₂²×C₄	—	5	1	no	—
1166	C₂²×C₄	—	5	1	no	—
1167	C₂²×C₄	—	5	1	no	—
1168	C₂²×C₄	—	5	1	no	—
1169	C₂²×C₄	—	5	4	no	—
1170	C₂²×C₄	—	5	4	no	—
1171	C₂²×C₄	—	5	4	no	—
1172	C₂²×C₄	—	5	4	no	—
1173	C₂²×C₄	—	5	4	no	—
1174	C₂²×C₄	—	5	4	no	—
1175	C₂²×C₄	—	5	4	no	—
1176	C₂²×C₄	—	5	1	no	—
1177	C₂²×C₄	—	5	1	no	—
1178	C₂²×C₄	—	5	1	no	—
1179	C₂²×C₄	—	5	1	no	—
1180	C₂²×C₄	—	5	1	no	—
1181	C₂²×C₄	—	5	1	no	—
1182	C₂²×C₄	—	5	1	no	—
1183	C₂²×C₄	—	10	2	no	—
1184	C₂²×C₄	—	10	2	no	—
1185	C₂²×C₄	—	10	2	no	—
1186	C₂²×C₄	—	10	2	no	—
1187	C₂²×C₄	—	10	2	no	—
1188	C₂²×C₄	—	10	2	no	—
1189	C₂²×C₄	—	10	2	no	—
1190	C₂²×C₄	—	10	2	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	—	10	2	no	—
1211	C₂²×C₄	—	10	2	no	—
1212	C₂²×C₄	—	10	2	no	—
1213	C₂²×C₄	—	10	2	no	—
1214	C₂²×C₄	—	10	2	no	—
1215	C₂²×C₄	—	10	2	no	—
1216	C₂²×C₄	—	10	2	no	—
1217	C₂²×C₄	—	10	2	no	—
1218	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1220	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1224	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1225	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1226	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1227	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1228	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1229	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1230	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1231	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1232	C₄⋊C₄	—	2	2	no	—
1233	C₄⋊C₄	—	2	2	no	—
1234	C₄⋊C₄	—	2	2	no	—
1235	C₄⋊C₄	—	2	2	no	—
1236	C₄⋊C₄	—	2	2	no	—
1237	C₄⋊C₄	—	2	2	no	—
1238	C₄⋊C₄	—	2	2	no	—
1239	C₄⋊C₄	—	2	2	no	—
1240	C₄⋊C₄	—	2	2	no	—
1241	C₄⋊C₄	—	5	4	no	—
1242	C₄⋊C₄	—	5	4	no	—
1243	C₄⋊C₄	—	5	4	no	—
1244	C₄⋊C₄	—	10	2	no	—
1245	C₄⋊C₄	—	10	2	no	—
1246	C₄⋊C₄	—	10	2	no	—
1247	C₄⋊C₄	—	10	2	no	—
1248	C₄⋊C₄	—	10	2	no	—
1249	C₄⋊C₄	—	10	2	no	—
1250	C₄⋊C₄	—	10	2	no	—
1251	C₄⋊C₄	—	10	2	no	—
1252	C₄⋊C₄	—	10	2	no	—
1253	C₄⋊C₄	—	10	2	no	—
1254	C₄⋊C₄	—	10	2	no	—
1255	C₄⋊C₄	—	10	2	no	—
1256	C₄⋊C₄	—	10	2	no	—
1257	C₄⋊C₄	—	10	2	no	—
1258	C₄⋊C₄	—	10	2	no	—
1259	C₄⋊C₄	—	10	2	no	—
1260	C₄⋊C₄	—	10	2	no	—
1261	C₄⋊C₄	—	10	2	no	—
1262	C₄⋊C₄	—	10	2	no	—
1263	C₄⋊C₄	—	10	2	no	—
1264	C₄⋊C₄	—	10	2	no	—
1265	C₄⋊C₄	—	10	2	no	—
1266	C₄⋊C₄	—	10	2	no	—
1267	C₄⋊C₄	—	10	2	no	—
1268	C₄⋊C₄	—	10	2	no	—
1269	C₄⋊C₄	—	10	2	no	—
1270	C₄⋊C₄	—	10	2	no	—
1271	C₄⋊C₄	D₄×D₅	1	4	yes	—
1272	C₂²⋊C₄	—	2	2	no	—
1273	C₂²⋊C₄	—	2	2	no	—
1274	C₂²⋊C₄	—	2	2	no	—
1275	C₂²⋊C₄	—	2	2	no	—
1276	C₂²⋊C₄	—	2	2	no	—
1277	C₂²⋊C₄	—	2	2	no	—
1278	C₂²⋊C₄	—	2	2	no	—
1279	C₂²⋊C₄	—	10	2	no	—
1280	C₂²⋊C₄	—	10	2	no	—
1281	C₂²⋊C₄	—	10	2	no	—
1282	C₂²⋊C₄	—	10	2	no	—
1283	C₂²⋊C₄	—	10	2	no	—
1284	C₂²⋊C₄	—	10	2	no	—
1285	C₂²⋊C₄	—	10	2	no	—
1286	C₂²⋊C₄	—	10	2	no	—
1287	C₂²⋊C₄	—	10	2	no	—
1288	C₂²⋊C₄	—	10	2	no	—
1289	C₂²⋊C₄	—	10	2	no	—
1290	C₂²⋊C₄	—	10	2	no	—
1291	C₂²⋊C₄	—	10	2	no	—
1292	C₂²⋊C₄	—	10	2	no	—
1293	C₂²⋊C₄	—	10	2	no	—
1294	C₂²⋊C₄	—	10	2	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	C₄²	—	2	2	no	—
1301	C₄²	—	2	2	no	—
1302	C₄²	—	2	2	no	—
1303	C₄²	—	2	2	no	—
1304	C₄²	—	2	2	no	—
1305	C₄²	—	10	2	no	—
1306	C₄²	—	10	2	no	—
1307	C₄²	—	10	2	no	—
1308	C₄²	—	10	2	no	—
1309	C₄²	—	10	2	no	—
1310	C₄²	—	10	2	no	—
1311	C₄²	—	10	2	no	—
1312	C₄²	—	10	2	no	—
1313	C₄²	—	10	2	no	—
1314	C₄²	—	10	2	no	—
1315	C₄²	—	10	2	no	—
1316	C₄²	—	10	2	no	—
1317	C₄²	—	10	2	no	—
1318	C₄²	—	10	2	no	—
1319	C₄²	—	10	2	no	—
1320	C₂×C₅	—	8	1	no	—
1321	C₂×C₅	C₂×#525	1	1	yes	characteristic
1322	C₂×C₅	C₂×#529	1	1	yes	characteristic
1323	C₂×C₅	C₂×#541	1	1	yes	characteristic
1324	C₂×C₅	C₂×#547	1	1	yes	characteristic
1325	C₂×C₅	C₂×#548	1	1	yes	characteristic
1326	C₂×C₅	C₂×#556	1	1	yes	characteristic
1327	C₂×C₅	C₂×#556	1	1	yes	characteristic
1328	D₅	—	8	1	no	—
1329	D₅	#2469	1	8	yes	direct product factor
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	5	2	no	—
1338	C₂³	—	5	2	no	—
1339	C₂³	—	5	2	no	—
1340	C₂³	—	5	2	no	—
1341	C₂³	—	5	2	no	—
1342	C₂³	—	5	2	no	—
1343	C₂³	—	5	2	no	—
1344	C₂³	—	10	1	no	—
1345	C₂³	—	10	1	no	—
1346	C₂³	—	10	1	no	—
1347	C₂³	—	10	1	no	—
1348	C₂³	—	10	1	no	—
1349	C₂³	—	10	1	no	—
1350	C₂³	—	10	1	no	—
1351	C₂³	—	20	4	no	—
1352	C₂³	—	20	4	no	—
1353	C₂³	—	20	4	no	—
1354	C₂³	—	20	4	no	—
1355	C₂³	—	20	4	no	—
1356	C₂³	—	20	4	no	—
1357	C₂³	—	20	4	no	—
1358	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1359	Q₈	—	2	8	no	—
1360	Q₈	—	10	8	no	—
1361	Q₈	—	10	8	no	—
1362	Q₈	—	10	8	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	5	2	no	—
1399	C₂×C₄	—	5	2	no	—
1400	C₂×C₄	—	5	2	no	—
1401	C₂×C₄	—	5	2	no	—
1402	C₂×C₄	—	5	2	no	—
1403	C₂×C₄	—	5	2	no	—
1404	C₂×C₄	—	5	2	no	—
1405	C₂×C₄	—	10	8	no	—
1406	C₂×C₄	—	10	8	no	—
1407	C₂×C₄	—	10	8	no	—
1408	C₂×C₄	—	10	8	no	—
1409	C₂×C₄	—	10	8	no	—
1410	C₂×C₄	—	10	8	no	—
1411	C₂×C₄	—	10	8	no	—
1412	C₂×C₄	—	10	1	no	—
1413	C₂×C₄	—	10	1	no	—
1414	C₂×C₄	—	10	1	no	—
1415	C₂×C₄	—	10	1	no	—
1416	C₂×C₄	—	10	1	no	—
1417	C₂×C₄	—	10	1	no	—
1418	C₂×C₄	—	10	1	no	—
1419	C₂×C₄	—	10	1	no	—
1420	C₂×C₄	—	10	1	no	—
1421	C₂×C₄	—	10	1	no	—
1422	C₂×C₄	—	10	1	no	—
1423	C₂×C₄	—	10	1	no	—
1424	C₂×C₄	—	10	1	no	—
1425	C₂×C₄	—	10	1	no	—
1426	C₂×C₄	—	10	1	no	—
1427	C₂×C₄	—	10	1	no	—
1428	C₂×C₄	—	10	1	no	—
1429	C₂×C₄	—	10	1	no	—
1430	C₂×C₄	—	10	1	no	—
1431	C₂×C₄	—	10	1	no	—
1432	C₂×C₄	—	10	1	no	—
1433	C₂×C₄	—	10	1	no	—
1434	C₂×C₄	—	10	1	no	—
1435	C₂×C₄	—	10	1	no	—
1436	C₂×C₄	—	10	1	no	—
1437	C₂×C₄	—	10	1	no	—
1438	C₂×C₄	—	10	1	no	—
1439	C₂×C₄	—	10	1	no	—
1440	C₂×C₄	—	10	1	no	—
1441	C₂×C₄	—	10	1	no	—
1442	C₂×C₄	—	10	1	no	—
1443	C₂×C₄	—	10	1	no	—
1444	C₂×C₄	—	10	1	no	—
1445	C₂×C₄	—	10	1	no	—
1446	C₂×C₄	—	10	1	no	—
1447	C₂×C₄	—	20	4	no	—
1448	C₂×C₄	—	20	4	no	—
1449	C₂×C₄	—	20	4	no	—
1450	C₂×C₄	—	20	4	no	—
1451	C₂×C₄	—	20	4	no	—
1452	C₂×C₄	—	20	4	no	—
1453	C₂×C₄	—	20	4	no	—
1454	C₂×C₄	C₂×D₄×D₅	1	2	yes	—
1455	C₂×C₄	C₂×D₄×D₅	1	2	yes	—
1456	C₂×C₄	C₂×D₄×D₅	1	2	yes	—
1457	C₂×C₄	D₅×#41	1	2	yes	—
1458	C₂×C₄	D₅×#41	1	2	yes	—
1459	C₂×C₄	D₅×#41	1	2	yes	—
1460	C₂×C₄	D₅×#41	1	2	yes	—
1461	C₅	C₂×#2469	1	1	yes	characteristic, complemented, Sylow
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	5	4	no	—
1470	C₂²	—	5	4	no	—
1471	C₂²	—	5	4	no	—
1472	C₂²	—	5	4	no	—
1473	C₂²	—	5	4	no	—
1474	C₂²	—	5	4	no	—
1475	C₂²	—	5	4	no	—
1476	C₂²	—	20	1	no	—
1477	C₂²	—	20	1	no	—
1478	C₂²	—	20	1	no	—
1479	C₂²	—	20	1	no	—
1480	C₂²	—	20	1	no	—
1481	C₂²	—	20	1	no	—
1482	C₂²	—	20	1	no	—
1483	C₂²	—	40	8	no	—
1484	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1485	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1486	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1487	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1488	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1489	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1490	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1491	C₄	—	2	2	no	—
1492	C₄	—	2	2	no	—
1493	C₄	—	2	2	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	2	no	—
1496	C₄	—	2	2	no	—
1497	C₄	—	2	2	no	—
1498	C₄	—	4	1	no	—
1499	C₄	—	4	1	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	10	2	no	—
1506	C₄	—	10	2	no	—
1507	C₄	—	10	2	no	—
1508	C₄	—	10	2	no	—
1509	C₄	—	10	2	no	—
1510	C₄	—	10	2	no	—
1511	C₄	—	10	2	no	—
1512	C₄	—	20	1	no	—
1513	C₄	—	20	1	no	—
1514	C₄	—	20	1	no	—
1515	C₄	—	20	1	no	—
1516	C₄	—	20	1	no	—
1517	C₄	—	20	1	no	—
1518	C₄	—	20	1	no	—
1519	C₂	—	5	8	no	—
1520	C₂	—	8	1	no	—
1521	C₂	—	40	1	no	—
1522	C₂	D₅×#525	1	1	yes	characteristic
1523	C₂	D₅×#529	1	1	yes	characteristic
1524	C₂	D₅×#541	1	1	yes	characteristic
1525	C₂	D₅×#547	1	1	yes	characteristic
1526	C₂	D₅×#548	1	1	yes	characteristic
1527	C₂	D₅×#556	1	1	yes	characteristic
1528	C₂	D₅×#556	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2469	C₂
prime radical	C₂⁴×D₅	C₂³
hypercenter	#2469	D₅
hypocenter	C₅	C₂×#2469
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2469

Complements

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

N	H ≅ G/N	type
2. C₂×C₄×Q₈×D₅	C₂	semidirect
3. C₅×#2469	C₂	semidirect
4. #10614809	C₂	semidirect
5. #10614204	C₂	semidirect
6. D₅×#400	C₂	semidirect
7. #10609870	C₂	semidirect
9. #10609029	C₂	semidirect
10. D₅×#395	C₂	semidirect
11. #10608912	C₂	semidirect
13. #10608520	C₂	semidirect
14. D₅×#389	C₂	semidirect
15. #10607752	C₂	semidirect
20. #10607255	C₂	semidirect
21. #10607254	C₂	semidirect
22. #10607253	C₂	semidirect
23. #10607252	C₂	semidirect
24. D₅×#387	C₂	semidirect
25. D₅×#387	C₂	semidirect
26. D₅×#387	C₂	semidirect
27. #10606737	C₂	semidirect
28. #10606736	C₂	semidirect
29. #10606735	C₂	semidirect
30. C₄×D₅×C₄⋊C₄	C₂	semidirect
31. #10605410	C₂	semidirect
34. C₂×C₄×C₅×Q₈	C₂²	semidirect
35. C₂×Q₈×Dic₅	C₂²	semidirect
51. C₂×#4033	C₂²	semidirect
52. C₂×#4033	C₂²	semidirect
53. C₂×#4033	C₂²	semidirect
70. C₂×C₄×Dic₁₀	C₂²	semidirect
71. C₂×C₄×Dic₁₀	C₂²	semidirect
72. C₂×C₄×Dic₁₀	C₂²	semidirect
73. C₅×#400	C₂²	semidirect
75. C₅×#395	C₂²	semidirect
77. C₅×#389	C₂²	semidirect
82. C₅×#387	C₂²	semidirect
83. C₅×#387	C₂²	semidirect
84. C₅×#387	C₂²	semidirect
85. C₄×C₅×C₄⋊C₄	C₂²	semidirect
87. #65518	C₂²	semidirect
95. #65275	C₂²	semidirect
96. #65274	C₂²	semidirect
97. #65271	C₂²	semidirect
98. #65270	C₂²	semidirect
99. #65270	C₂²	semidirect
100. #65270	C₂²	semidirect
101. #65268	C₂²	semidirect
102. #65268	C₂²	semidirect
103. #65268	C₂²	semidirect
104. #65267	C₂²	semidirect
105. #65267	C₂²	semidirect
106. #65267	C₂²	semidirect
107. C₄⋊C₄×Dic₅	C₂²	semidirect
108. C₄⋊C₄×Dic₅	C₂²	semidirect
109. #65262	C₂²	semidirect
110. #65261	C₂²	semidirect
111. #65261	C₂²	semidirect
134. C₄×C₄⋊Dic₅	C₂²	semidirect
135. #65222	C₂²	semidirect
136. #65222	C₂²	semidirect
137. #65222	C₂²	semidirect
138. C₄×#683	C₂²	semidirect
139. C₄×#683	C₂²	semidirect
140. #65217	C₂²	semidirect
165. #64949	C₂²	semidirect
166. #64949	C₂²	semidirect
167. #64948	C₂²	semidirect
168. #64947	C₂²	semidirect
169. #64947	C₂²	semidirect
170. #64945	C₂²	semidirect
171. #64945	C₂²	semidirect
172. #64945	C₂²	semidirect
173. #64944	C₂²	semidirect
174. #64944	C₂²	semidirect
175. #64944	C₂²	semidirect
176. #64943	C₂²	semidirect
177. #64943	C₂²	semidirect
178. #64943	C₂²	semidirect
179. #64942	C₂²	semidirect
180. #64942	C₂²	semidirect
181. #64942	C₂²	semidirect
182. #64941	C₂²	semidirect
183. #64941	C₂²	semidirect
184. #64941	C₂²	semidirect
185. #64938	C₂²	semidirect
186. #64938	C₂²	semidirect
187. #64936	C₂²	semidirect
188. #64936	C₂²	semidirect
403. #2469	D₅	direct (N × H)
616. C₂×C₄×Q₈	C₂×D₅	semidirect
646. #400	C₂×D₅	semidirect
662. #395	C₂×D₅	semidirect
678. #389	C₂×D₅	semidirect
732. #387	C₂×D₅	semidirect
733. #387	C₂×D₅	semidirect
734. #387	C₂×D₅	semidirect
742. C₄×C₄⋊C₄	C₂×D₅	semidirect
1329. D₅	#2469	direct (N × H)
1461. C₅	C₂×#2469	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₅×#126	2
C₂×C₄×Q₈×D₅	2
C₅×#2469	2
#10614809	2
#10614204	2
D₅×#400	2
#10609870	2
D₅×#396	2
#10609029	2
D₅×#395	2
#10608912	2
D₅×#393	2
#10608520	2
D₅×#389	2
#10607752	2
D₅×#388	2
#10607255	2
#10607254	2
#10607253	2
#10607252	2
D₅×#387	2
#10606737	2
#10606736	2
#10606735	2
C₄×D₅×C₄⋊C₄	2
#10605410	2
C₂×#2469	5

Subgroups — D5×#2469 #12267502

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#2469 #12267502