Subgroups — #12263621

Order 1280.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#539	C₂	1	1	yes	maximal, characteristic
2	#10614806	C₂	1	1	yes	maximal, characteristic, complemented
3	#10614806	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614805	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614805	C₂	1	1	yes	maximal, characteristic, complemented
6	#10614758	C₂	1	1	yes	maximal, characteristic, complemented
7	#10614757	C₂	1	1	yes	maximal, characteristic, complemented
8	#10614756	C₂	1	1	yes	maximal, characteristic, complemented
9	#10614756	C₂	1	1	yes	maximal, characteristic, complemented
10	#10614571	C₂	1	1	yes	maximal, characteristic, complemented
11	#10614570	C₂	1	1	yes	maximal, characteristic, complemented
12	#10614568	C₂	1	1	yes	maximal, characteristic, complemented
13	#10614568	C₂	1	1	yes	maximal, characteristic, complemented
14	#10614568	C₂	1	1	yes	maximal, characteristic, complemented
15	#10614568	C₂	1	1	yes	maximal, characteristic, complemented
16	#10614567	C₂	1	1	yes	maximal, characteristic, complemented
17	Dic₅×#123	C₂	1	1	yes	maximal, characteristic, complemented
18	#10614481	C₂	1	1	yes	maximal, characteristic, complemented
19	#10614481	C₂	1	1	yes	maximal, characteristic, complemented
20	#10614479	C₂	1	1	yes	maximal, characteristic, complemented
21	#10614478	C₂	1	1	yes	maximal, characteristic, complemented
22	#10614477	C₂	1	1	yes	maximal, characteristic, complemented
23	Dic₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	#10614366	C₂	1	1	yes	maximal, characteristic
25	#10614364	C₂	1	1	yes	maximal, characteristic
26	#10614069	C₂	1	1	yes	maximal, characteristic, complemented
27	#10614066	C₂	1	1	yes	maximal, characteristic, complemented
28	#10614056	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614049	C₂	1	1	yes	maximal, characteristic, complemented
30	#10613891	C₂	1	1	yes	maximal, characteristic, complemented
31	#10613890	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#539	C₄	1	16	yes	complemented
33	C₂×C₅×#126	C₂²	1	1	yes	characteristic
34	C₂×C₅×#126	C₂²	1	1	yes	characteristic
35	C₂×C₅×#125	C₂²	1	1	yes	characteristic
36	C₂×C₅×#125	C₂²	1	1	yes	characteristic
37	C₂×C₅×#123	C₂²	1	1	yes	characteristic
38	C₂×C₅×#123	C₂²	1	1	yes	characteristic
39	C₂×C₅×#123	C₂²	1	1	yes	characteristic
40	C₂×C₅×#123	C₂²	1	1	yes	characteristic
41	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₅×#121	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
47	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
48	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic
49	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
50	C₂×#4072	C₂²	1	1	yes	characteristic
51	C₂×#4072	C₂²	1	1	yes	characteristic
52	C₂²×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
53	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic
54	#65519	C₂²	1	1	yes	characteristic
55	#65519	C₂²	1	1	yes	characteristic
56	#65519	C₂²	1	1	yes	characteristic
57	#65510	C₂²	1	1	yes	characteristic
58	#65510	C₂²	1	1	yes	characteristic
59	#65510	C₂²	1	1	yes	characteristic
60	#65510	C₂²	1	1	yes	characteristic
61	#65510	C₂²	1	1	yes	characteristic
62	#65509	C₂²	1	1	yes	characteristic
63	#65509	C₂²	1	1	yes	characteristic
64	#65509	C₂²	1	1	yes	characteristic
65	#65509	C₂²	1	1	yes	characteristic
66	#65509	C₂²	1	1	yes	characteristic
67	#65509	C₂²	1	1	yes	characteristic
68	#65501	C₂²	1	1	yes	characteristic
69	#65501	C₂²	1	1	yes	characteristic
70	#65501	C₂²	1	1	yes	characteristic
71	#65501	C₂²	1	1	yes	characteristic
72	#65501	C₂²	1	1	yes	characteristic
73	#65501	C₂²	1	1	yes	characteristic
74	#65500	C₂²	1	1	yes	characteristic
75	#65500	C₂²	1	1	yes	characteristic
76	#65500	C₂²	1	1	yes	characteristic
77	#65500	C₂²	1	1	yes	characteristic
78	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
81	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
82	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
83	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
84	#65274	C₂²	1	1	yes	characteristic
85	#65274	C₂²	1	1	yes	characteristic
86	#65274	C₂²	1	1	yes	characteristic
87	#65274	C₂²	1	1	yes	characteristic
88	#65274	C₂²	1	1	yes	characteristic
89	#65274	C₂²	1	1	yes	characteristic
90	#65274	C₂²	1	1	yes	characteristic
91	#65274	C₂²	1	1	yes	characteristic
92	#65274	C₂²	1	1	yes	characteristic
93	#65274	C₂²	1	1	yes	characteristic
94	#65274	C₂²	1	1	yes	characteristic
95	#65274	C₂²	1	1	yes	characteristic
96	#65274	C₂²	1	1	yes	characteristic
97	#65274	C₂²	1	1	yes	characteristic
98	#65270	C₂²	1	1	yes	characteristic
99	#65270	C₂²	1	1	yes	characteristic
100	#65270	C₂²	1	1	yes	characteristic
101	#65270	C₂²	1	1	yes	characteristic
102	#65270	C₂²	1	1	yes	characteristic
103	#65270	C₂²	1	1	yes	characteristic
104	#65270	C₂²	1	1	yes	characteristic
105	#65270	C₂²	1	1	yes	characteristic
106	#65270	C₂²	1	1	yes	characteristic
107	#65270	C₂²	1	1	yes	characteristic
108	#65270	C₂²	1	1	yes	characteristic
109	#65270	C₂²	1	1	yes	characteristic
110	#65270	C₂²	1	1	yes	characteristic
111	#65270	C₂²	1	1	yes	characteristic
112	#65270	C₂²	1	1	yes	characteristic
113	#65270	C₂²	1	1	yes	characteristic
114	#65270	C₂²	1	1	yes	characteristic
115	#65270	C₂²	1	1	yes	characteristic
116	#65270	C₂²	1	1	yes	characteristic
117	#65270	C₂²	1	1	yes	characteristic
118	#65270	C₂²	1	1	yes	characteristic
119	#65270	C₂²	1	1	yes	characteristic
120	#65270	C₂²	1	1	yes	characteristic
121	#65270	C₂²	1	1	yes	characteristic
122	#65270	C₂²	1	1	yes	characteristic
123	#65270	C₂²	1	1	yes	characteristic
124	#65270	C₂²	1	1	yes	characteristic
125	#65270	C₂²	1	1	yes	characteristic
126	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
127	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
128	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
129	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
130	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
131	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
132	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
133	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
134	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
135	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
140	#65240	C₂²	1	1	yes	characteristic
141	#65240	C₂²	1	1	yes	characteristic
142	#65240	C₂²	1	1	yes	characteristic
143	#65240	C₂²	1	1	yes	characteristic
144	#65240	C₂²	1	1	yes	characteristic
145	#65240	C₂²	1	1	yes	characteristic
146	#65240	C₂²	1	1	yes	characteristic
147	#65240	C₂²	1	1	yes	characteristic
148	#65240	C₂²	1	1	yes	characteristic
149	#65240	C₂²	1	1	yes	characteristic
150	#65240	C₂²	1	1	yes	characteristic
151	#65240	C₂²	1	1	yes	characteristic
152	#65240	C₂²	1	1	yes	characteristic
153	#65240	C₂²	1	1	yes	characteristic
154	#65240	C₂²	1	1	yes	characteristic
155	#65240	C₂²	1	1	yes	characteristic
156	#65240	C₂²	1	1	yes	characteristic
157	#65240	C₂²	1	1	yes	characteristic
158	#65240	C₂²	1	1	yes	characteristic
159	#65240	C₂²	1	1	yes	characteristic
160	#65240	C₂²	1	1	yes	characteristic
161	#65240	C₂²	1	1	yes	characteristic
162	#65240	C₂²	1	1	yes	characteristic
163	#65240	C₂²	1	1	yes	characteristic
164	#65239	C₂²	1	1	yes	characteristic
165	#65239	C₂²	1	1	yes	characteristic
166	#65239	C₂²	1	1	yes	characteristic
167	#65239	C₂²	1	1	yes	characteristic
168	#65239	C₂²	1	1	yes	characteristic
169	#65239	C₂²	1	1	yes	characteristic
170	#65239	C₂²	1	1	yes	characteristic
171	#65239	C₂²	1	1	yes	characteristic
172	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
173	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
174	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
175	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
176	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
177	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
178	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
179	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
180	#65225	C₂²	1	1	yes	characteristic
181	#65225	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
186	#65221	C₂²	1	1	yes	characteristic
187	#65221	C₂²	1	1	yes	characteristic
188	#34449	—	5	1	no	maximal, Sylow
189	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
191	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
198	C₂³×Dic₅	C₂³	1	1	yes	characteristic
199	C₂³×Dic₅	C₂³	1	1	yes	characteristic
200	C₂³×Dic₅	C₂³	1	1	yes	characteristic
201	C₂³×Dic₅	C₂³	1	1	yes	characteristic
202	C₅×#126	C₂×C₄	1	8	yes	complemented
203	C₅×#126	C₂×C₄	1	8	yes	complemented
204	C₅×#125	C₂×C₄	1	8	yes	complemented
205	C₅×#125	C₂×C₄	1	8	yes	complemented
206	C₅×#123	C₂×C₄	1	8	yes	—
207	C₅×#123	C₂×C₄	1	8	yes	—
208	C₅×#123	C₂×C₄	1	8	yes	complemented
209	C₅×#123	C₂×C₄	1	8	yes	complemented
210	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
211	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
212	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
213	C₅×#121	C₂×C₄	1	8	yes	—
214	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
215	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
216	C₂×C₅×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
242	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
263	Q₈×Dic₅	—	4	2	no	—
264	D₄×Dic₅	—	4	2	no	—
265	#4072	—	4	2	no	—
266	#4072	—	4	2	no	—
267	C₂×C₄⋊Dic₅	—	4	2	no	—
268	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₅	—	4	2	no	—
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	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
317	#3963	C₂³	1	1	yes	characteristic
318	#3963	C₂³	1	1	yes	characteristic
319	#3963	C₂³	1	1	yes	characteristic
320	#3963	C₂³	1	1	yes	characteristic
321	#3963	C₂³	1	1	yes	characteristic
322	#3963	C₂³	1	1	yes	characteristic
323	#3963	C₂³	1	1	yes	characteristic
324	#3963	C₂³	1	1	yes	characteristic
325	#3963	C₂³	1	1	yes	characteristic
326	#3963	C₂³	1	1	yes	characteristic
327	#3963	C₂³	1	1	yes	characteristic
328	#3963	C₂³	1	1	yes	characteristic
329	#3963	C₂³	1	1	yes	characteristic
330	#3963	C₂³	1	1	yes	characteristic
331	#3963	C₂³	1	1	yes	characteristic
332	#3963	C₂³	1	1	yes	characteristic
333	#3963	C₂³	1	1	yes	characteristic
334	#3963	C₂³	1	1	yes	characteristic
335	#3963	C₂³	1	1	yes	characteristic
336	#3963	C₂³	1	1	yes	characteristic
337	#3963	C₂³	1	1	yes	characteristic
338	#3963	C₂³	1	1	yes	characteristic
339	#3963	C₂³	1	1	yes	characteristic
340	#3963	C₂³	1	1	yes	characteristic
341	#3963	C₂³	1	1	yes	characteristic
342	#3963	C₂³	1	1	yes	characteristic
343	#3963	C₂³	1	1	yes	characteristic
344	#3963	C₂³	1	1	yes	characteristic
345	#3963	C₂³	1	1	yes	characteristic
346	#3963	C₂³	1	1	yes	characteristic
347	#3963	C₂³	1	1	yes	characteristic
348	#3963	C₂³	1	1	yes	characteristic
349	#3963	C₂³	1	1	yes	characteristic
350	#3963	C₂³	1	1	yes	characteristic
351	#3963	C₂³	1	1	yes	characteristic
352	#3963	C₂³	1	1	yes	characteristic
353	#3963	C₂³	1	1	yes	characteristic
354	#3963	C₂³	1	1	yes	characteristic
355	#3963	C₂³	1	1	yes	characteristic
356	#3963	C₂³	1	1	yes	characteristic
357	#3963	C₂³	1	1	yes	characteristic
358	#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	C₂×#539	D₅	1	1	yes	characteristic
366	#2382	—	5	1	no	—
367	#2378	—	5	1	no	—
368	#2378	—	5	1	no	—
369	#2376	—	5	1	no	—
370	#2374	—	5	1	no	—
371	#2373	—	5	1	no	—
372	#2373	—	5	1	no	—
373	#2371	—	5	1	no	—
374	#2370	—	5	1	no	—
375	#2370	—	5	1	no	—
376	#2362	—	5	1	no	—
377	#2360	—	5	1	no	—
378	#2357	—	5	1	no	—
379	#2352	—	5	1	no	—
380	#2345	—	5	1	no	—
381	#2344	—	5	1	no	—
382	#2335	—	5	1	no	—
383	#2335	—	5	1	no	—
384	#2335	—	5	1	no	—
385	#2335	—	5	1	no	—
386	#2334	—	5	1	no	—
387	#2334	—	5	1	no	—
388	#2333	—	5	1	no	—
389	#2332	—	5	1	no	—
390	#2324	—	5	1	no	—
391	#2322	—	5	1	no	—
392	#2319	—	5	1	no	—
393	C₄×C₂²⋊Q₈	—	5	1	no	—
394	C₄×#123	—	5	1	no	—
395	#2290	—	5	1	no	—
396	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
397	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
398	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
399	C₂×C₅×Q₈	—	4	1	no	—
400	C₂×C₅×Q₈	—	4	1	no	—
401	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	—
402	C₂×C₅×D₄	—	4	1	no	—
403	C₂×C₅×D₄	—	4	1	no	—
404	C₂×C₅×D₄	—	4	1	no	—
405	C₂×C₅×D₄	—	4	1	no	—
406	C₂×C₅×D₄	—	4	1	no	—
407	C₂×C₅×D₄	—	4	1	no	—
408	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
409	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
410	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
411	C₂²×C₄×C₅	—	4	1	no	—
412	C₂²×C₄×C₅	—	4	1	no	—
413	C₂²×C₄×C₅	—	4	1	no	—
414	C₂²×C₄×C₅	—	4	1	no	—
415	C₂²×C₄×C₅	—	4	1	no	—
416	C₂²×C₄×C₅	—	4	1	no	—
417	C₂²×C₄×C₅	—	4	1	no	—
418	C₂²×C₄×C₅	—	4	1	no	—
419	C₂²×C₄×C₅	—	4	1	no	—
420	C₂²×C₄×C₅	—	4	1	no	—
421	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
422	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
423	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
424	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
425	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
426	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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×Dic₅	—	2	2	no	—
439	C₂²×Dic₅	—	2	2	no	—
440	C₂²×Dic₅	—	2	2	no	—
441	C₂²×Dic₅	—	4	1	no	—
442	C₂²×Dic₅	—	4	1	no	—
443	C₂²×Dic₅	—	4	1	no	—
444	C₂²×Dic₅	—	4	1	no	—
445	C₂²×Dic₅	—	4	1	no	—
446	C₂²×Dic₅	—	4	1	no	—
447	C₂²×Dic₅	—	4	1	no	—
448	C₂²×Dic₅	—	4	1	no	—
449	C₂²×Dic₅	—	4	1	no	—
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	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
459	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
460	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
463	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
464	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
466	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
467	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
468	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
469	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
470	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
471	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
472	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
473	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
474	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
475	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
476	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
477	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
478	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
479	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
480	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
481	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
482	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
483	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
484	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
485	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
486	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
487	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
488	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
489	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
490	C₄²×C₅	C₂²×C₄	1	4	yes	—
491	C₄²×C₅	C₂²×C₄	1	4	yes	—
492	C₂²⋊Dic₅	—	2	2	no	—
493	C₂²⋊Dic₅	—	2	2	no	—
494	C₂²⋊Dic₅	—	2	2	no	—
495	C₂²⋊Dic₅	—	4	1	no	—
496	C₂²⋊Dic₅	—	4	1	no	—
497	C₂²⋊Dic₅	—	4	1	no	—
498	C₂²⋊Dic₅	—	4	1	no	—
499	C₂²⋊Dic₅	—	4	1	no	—
500	C₂²⋊Dic₅	—	4	1	no	—
501	C₂²⋊Dic₅	—	4	1	no	—
502	C₂²⋊Dic₅	—	4	1	no	—
503	C₂²⋊Dic₅	—	4	1	no	—
504	C₂²⋊Dic₅	—	4	1	no	—
505	C₂²⋊Dic₅	—	4	1	no	—
506	C₂²⋊Dic₅	—	4	1	no	—
507	C₂²⋊Dic₅	—	4	1	no	—
508	C₂²⋊Dic₅	—	4	1	no	—
509	C₂²⋊Dic₅	—	4	1	no	—
510	C₂²⋊Dic₅	—	4	1	no	—
511	C₂²⋊Dic₅	—	4	1	no	—
512	C₄⋊Dic₅	—	2	2	no	—
513	C₄⋊Dic₅	—	2	2	no	—
514	C₄⋊Dic₅	—	2	2	no	—
515	C₄⋊Dic₅	—	2	2	no	—
516	C₄⋊Dic₅	—	2	2	no	—
517	C₄⋊Dic₅	—	4	1	no	—
518	C₄⋊Dic₅	—	4	1	no	—
519	C₄⋊Dic₅	—	4	1	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	C₄⋊Dic₅	—	4	1	no	—
525	C₄⋊Dic₅	—	4	1	no	—
526	C₄⋊Dic₅	—	4	1	no	—
527	C₄⋊Dic₅	—	4	1	no	—
528	C₄⋊Dic₅	—	4	1	no	—
529	C₄⋊Dic₅	—	4	1	no	—
530	C₄⋊Dic₅	—	4	1	no	—
531	C₄⋊Dic₅	—	4	1	no	—
532	C₄⋊Dic₅	—	4	1	no	—
533	C₄⋊Dic₅	—	4	1	no	—
534	C₄⋊Dic₅	—	4	1	no	—
535	C₄⋊Dic₅	—	4	1	no	—
536	C₄×Dic₅	—	2	2	no	—
537	C₄×Dic₅	—	2	2	no	—
538	C₄×Dic₅	—	2	2	no	—
539	C₄×Dic₅	—	4	1	no	—
540	C₄×Dic₅	—	4	1	no	—
541	C₄×Dic₅	—	4	1	no	—
542	C₄×Dic₅	—	4	1	no	—
543	C₄×Dic₅	—	4	1	no	—
544	C₄×Dic₅	—	4	1	no	—
545	C₄×Dic₅	—	4	1	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	C₄×Dic₅	—	4	1	no	—
556	C₄×Dic₅	—	4	1	no	—
557	C₄×Dic₅	—	4	1	no	—
558	C₄×Dic₅	—	4	1	no	—
559	C₄×Dic₅	—	4	1	no	—
560	#539	Dic₅	1	16	yes	complemented
561	C₂×#126	C₂×D₅	1	1	yes	characteristic
562	C₂×#126	C₂×D₅	1	1	yes	characteristic
563	C₂×#125	C₂×D₅	1	1	yes	characteristic
564	C₂×#125	C₂×D₅	1	1	yes	characteristic
565	C₂×#123	C₂×D₅	1	1	yes	characteristic
566	C₂×#123	C₂×D₅	1	1	yes	characteristic
567	C₂×#123	C₂×D₅	1	1	yes	characteristic
568	C₂×#123	C₂×D₅	1	1	yes	characteristic
569	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
570	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
571	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
572	C₂×#121	C₂×D₅	1	1	yes	characteristic
573	C₂×C₄×Q₈	—	5	1	no	—
574	C₂×C₄×D₄	—	5	1	no	—
575	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
576	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
577	C₂×#117	—	5	1	no	—
578	C₂×#117	—	5	1	no	—
579	C₂²×C₄⋊C₄	—	5	1	no	—
580	C₂²×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
581	C₂²×C₄²	—	5	1	no	—
582	#391	—	5	1	no	—
583	#391	—	5	1	no	—
584	#391	—	5	1	no	—
585	#390	—	5	1	no	—
586	#390	—	5	1	no	—
587	#390	—	5	1	no	—
588	#390	—	5	1	no	—
589	#390	—	5	1	no	—
590	#389	—	5	1	no	—
591	#389	—	5	1	no	—
592	#389	—	5	1	no	—
593	#389	—	5	1	no	—
594	#389	—	5	1	no	—
595	#389	—	5	1	no	—
596	#389	—	5	1	no	—
597	#389	—	5	1	no	—
598	#389	—	5	1	no	—
599	#389	—	5	1	no	—
600	#389	—	5	1	no	—
601	#389	—	5	1	no	—
602	#389	—	5	1	no	—
603	#389	—	5	1	no	—
604	#388	—	5	1	no	—
605	#388	—	5	1	no	—
606	#388	—	5	1	no	—
607	#388	—	5	1	no	—
608	#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	#387	—	5	1	no	—
629	#387	—	5	1	no	—
630	#387	—	5	1	no	—
631	#387	—	5	1	no	—
632	#387	—	5	1	no	—
633	#387	—	5	1	no	—
634	#387	—	5	1	no	—
635	#387	—	5	1	no	—
636	#387	—	5	1	no	—
637	#387	—	5	1	no	—
638	#387	—	5	1	no	—
639	#387	—	5	1	no	—
640	#387	—	5	1	no	—
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	#386	—	5	1	no	—
657	#386	—	5	1	no	—
658	#386	—	5	1	no	—
659	#386	—	5	1	no	—
660	#386	—	5	1	no	—
661	#386	—	5	1	no	—
662	#385	—	5	1	no	—
663	#385	—	5	1	no	—
664	#385	—	5	1	no	—
665	#385	—	5	1	no	—
666	#385	—	5	1	no	—
667	#385	—	5	1	no	—
668	#385	—	5	1	no	—
669	#385	—	5	1	no	—
670	#382	—	5	1	no	—
671	#382	—	5	1	no	—
672	#381	—	5	1	no	—
673	#381	—	5	1	no	—
674	#381	—	5	1	no	—
675	#381	—	5	1	no	—
676	#380	—	5	1	no	—
677	#380	—	5	1	no	—
678	#380	—	5	1	no	—
679	#380	—	5	1	no	—
680	#380	—	5	1	no	—
681	#380	—	5	1	no	—
682	C₄×C₄⋊C₄	—	5	1	no	—
683	C₄×C₄⋊C₄	—	5	1	no	—
684	C₄×C₄⋊C₄	—	5	1	no	—
685	C₄×C₄⋊C₄	—	5	1	no	—
686	C₄×C₄⋊C₄	—	5	1	no	—
687	C₄×C₄⋊C₄	—	5	1	no	—
688	C₄×C₄⋊C₄	—	5	1	no	—
689	C₄×C₄⋊C₄	—	5	1	no	—
690	C₄×C₄⋊C₄	—	5	1	no	—
691	C₄×C₄⋊C₄	—	5	1	no	—
692	C₄×C₄⋊C₄	—	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×C₄⋊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	—	5	1	no	—
707	C₄×C₂²⋊C₄	—	5	1	no	—
708	C₄×C₂²⋊C₄	—	5	1	no	—
709	C₄×C₂²⋊C₄	—	5	1	no	—
710	C₄×C₂²⋊C₄	—	5	1	no	—
711	C₄×C₂²⋊C₄	—	5	1	no	—
712	C₄×C₂²⋊C₄	—	5	1	no	—
713	C₄×C₂²⋊C₄	—	5	1	no	—
714	#376	—	5	1	no	—
715	#376	—	5	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	—	2	1	no	—
724	C₂³×C₅	—	2	1	no	—
725	C₂³×C₅	—	2	1	no	—
726	C₂³×C₅	—	2	1	no	—
727	C₂³×C₅	—	2	1	no	—
728	C₂³×C₅	—	2	1	no	—
729	C₂³×C₅	—	2	1	no	—
730	C₂³×C₅	—	2	1	no	—
731	C₂³×C₅	—	2	1	no	—
732	C₂³×C₅	—	2	1	no	—
733	C₂³×C₅	—	2	1	no	—
734	C₂³×C₅	C₂³×C₄	1	2	yes	—
735	C₂³×C₅	C₂³×C₄	1	2	yes	—
736	C₂³×C₅	C₂³×C₄	1	2	yes	—
737	C₂³×C₅	C₂⁵	1	1	yes	characteristic
738	C₅×Q₈	—	4	4	no	—
739	C₅×D₄	—	4	4	no	—
740	C₅×D₄	—	4	4	no	—
741	C₅×D₄	—	4	4	no	—
742	C₂×C₄×C₅	—	2	1	no	—
743	C₂×C₄×C₅	—	2	1	no	—
744	C₂×C₄×C₅	—	2	1	no	—
745	C₂×C₄×C₅	—	2	1	no	—
746	C₂×C₄×C₅	—	2	1	no	—
747	C₂×C₄×C₅	—	2	1	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	—	4	4	no	—
767	C₂×C₄×C₅	—	4	4	no	—
768	C₂×C₄×C₅	—	4	4	no	—
769	C₂×C₄×C₅	—	4	4	no	—
770	C₂×C₄×C₅	—	4	4	no	—
771	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
772	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
773	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
774	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
775	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
776	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
777	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
778	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
779	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
780	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
781	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
782	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
783	C₂×Dic₅	—	2	1	no	—
784	C₂×Dic₅	—	2	1	no	—
785	C₂×Dic₅	—	2	1	no	—
786	C₂×Dic₅	—	2	1	no	—
787	C₂×Dic₅	—	2	1	no	—
788	C₂×Dic₅	—	2	1	no	—
789	C₂×Dic₅	—	2	1	no	—
790	C₂×Dic₅	—	2	1	no	—
791	C₂×Dic₅	—	2	1	no	—
792	C₂×Dic₅	—	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	—	2	1	no	—
829	C₂×Dic₅	—	4	4	no	—
830	C₂×Dic₅	—	4	4	no	—
831	C₂×Dic₅	—	8	2	no	—
832	C₂×Dic₅	—	8	2	no	—
833	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
834	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
835	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
836	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
837	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
838	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
839	C₂³×C₄	—	5	1	no	—
840	C₂³×C₄	—	5	1	no	—
841	C₂³×C₄	—	5	1	no	—
842	C₂³×C₄	—	5	1	no	—
843	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
844	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
845	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
846	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
847	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
848	#126	C₂×Dic₅	1	8	yes	complemented
849	#126	C₂×Dic₅	1	8	yes	complemented
850	#125	C₂×Dic₅	1	8	yes	complemented
851	#125	C₂×Dic₅	1	8	yes	complemented
852	#123	C₂×Dic₅	1	8	yes	—
853	#123	C₂×Dic₅	1	8	yes	—
854	#123	C₂×Dic₅	1	8	yes	complemented
855	#123	C₂×Dic₅	1	8	yes	complemented
856	C₂²⋊Q₈	C₂×Dic₅	1	8	yes	complemented
857	C₂²⋊Q₈	C₂×Dic₅	1	8	yes	complemented
858	C₂²⋊Q₈	C₂×Dic₅	1	8	yes	complemented
859	#121	C₂×Dic₅	1	8	yes	—
860	C₄×Q₈	—	20	2	no	—
861	C₄×D₄	—	20	2	no	—
862	C₄×D₄	C₂×Dic₅	1	8	yes	complemented
863	C₄×D₄	C₂×Dic₅	1	8	yes	complemented
864	#117	—	20	2	no	—
865	#117	—	20	2	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	—	5	1	no	—
889	C₂×C₄⋊C₄	—	5	1	no	—
890	C₂×C₄⋊C₄	—	20	2	no	—
891	C₂×C₄⋊C₄	C₂×Dic₅	1	8	yes	complemented
892	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
926	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
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×C₄²	—	5	1	no	—
937	C₂×C₄²	—	5	1	no	—
938	C₂×C₄²	—	5	1	no	—
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	—	5	1	no	—
955	C₂×C₄²	—	5	1	no	—
956	C₂×C₄²	—	5	1	no	—
957	C₂×C₄²	—	5	1	no	—
958	C₂×C₄²	—	5	1	no	—
959	C₂×C₄²	—	5	1	no	—
960	C₂×C₄²	—	20	2	no	—
961	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
962	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
997	#95	—	5	1	no	—
998	#95	—	5	1	no	—
999	#95	—	5	1	no	—
1000	#95	—	5	1	no	—
1001	#95	—	5	1	no	—
1002	#95	—	5	1	no	—
1003	#95	—	5	1	no	—
1004	#95	—	5	1	no	—
1005	#95	—	5	1	no	—
1006	#95	—	5	1	no	—
1007	#95	—	5	1	no	—
1008	#95	—	5	1	no	—
1009	#95	—	5	1	no	—
1010	#95	—	5	1	no	—
1011	C₂²×C₅	—	2	2	no	—
1012	C₂²×C₅	—	2	2	no	—
1013	C₂²×C₅	—	2	2	no	—
1014	C₂²×C₅	—	2	2	no	—
1015	C₂²×C₅	—	2	2	no	—
1016	C₂²×C₅	—	2	2	no	—
1017	C₂²×C₅	—	2	2	no	—
1018	C₂²×C₅	—	2	2	no	—
1019	C₂²×C₅	—	2	2	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	—	4	1	no	—
1025	C₂²×C₅	—	4	1	no	—
1026	C₂²×C₅	—	4	1	no	—
1027	C₂²×C₅	—	4	1	no	—
1028	C₂²×C₅	—	4	1	no	—
1029	C₂²×C₅	—	4	1	no	—
1030	C₂²×C₅	—	4	1	no	—
1031	C₂²×C₅	—	4	1	no	—
1032	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1033	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1034	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1035	C₂²×C₅	#585	1	1	yes	characteristic
1036	C₂²×C₅	#585	1	1	yes	characteristic
1037	C₂²×C₅	#585	1	1	yes	characteristic
1038	C₂²×C₅	#585	1	1	yes	characteristic
1039	C₄×C₅	—	2	2	no	—
1040	C₄×C₅	—	2	2	no	—
1041	C₄×C₅	—	2	2	no	—
1042	C₄×C₅	—	2	2	no	—
1043	C₄×C₅	—	2	2	no	—
1044	C₄×C₅	—	2	2	no	—
1045	C₄×C₅	—	2	2	no	—
1046	C₄×C₅	—	2	2	no	—
1047	C₄×C₅	—	2	2	no	—
1048	C₄×C₅	—	2	2	no	—
1049	C₄×C₅	—	2	2	no	—
1050	C₄×C₅	—	2	2	no	—
1051	Dic₅	—	2	2	no	—
1052	Dic₅	—	2	2	no	—
1053	Dic₅	—	4	1	no	—
1054	Dic₅	—	4	1	no	—
1055	Dic₅	—	4	1	no	—
1056	Dic₅	—	4	1	no	—
1057	Dic₅	—	4	1	no	—
1058	Dic₅	—	4	1	no	—
1059	Dic₅	—	4	1	no	—
1060	Dic₅	—	4	1	no	—
1061	Dic₅	—	4	1	no	—
1062	Dic₅	—	4	1	no	—
1063	Dic₅	—	4	1	no	—
1064	Dic₅	—	4	1	no	—
1065	Dic₅	—	4	1	no	—
1066	Dic₅	—	4	1	no	—
1067	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1068	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1069	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1070	C₂×Q₈	—	4	1	no	—
1071	C₂×Q₈	—	4	1	no	—
1072	C₂×Q₈	C₂²×Dic₅	1	4	yes	—
1073	C₂×D₄	—	4	1	no	—
1074	C₂×D₄	—	4	1	no	—
1075	C₂×D₄	—	4	1	no	—
1076	C₂×D₄	—	4	1	no	—
1077	C₂×D₄	—	4	1	no	—
1078	C₂×D₄	—	4	1	no	—
1079	C₂×D₄	C₂²×Dic₅	1	4	yes	—
1080	C₂×D₄	C₂²×Dic₅	1	4	yes	—
1081	C₂×D₄	C₂²×Dic₅	1	4	yes	—
1082	C₂²×C₄	—	4	1	no	—
1083	C₂²×C₄	—	4	1	no	—
1084	C₂²×C₄	—	4	1	no	—
1085	C₂²×C₄	—	4	1	no	—
1086	C₂²×C₄	—	4	1	no	—
1087	C₂²×C₄	—	4	1	no	—
1088	C₂²×C₄	—	4	1	no	—
1089	C₂²×C₄	—	4	1	no	—
1090	C₂²×C₄	—	4	1	no	—
1091	C₂²×C₄	—	4	1	no	—
1092	C₂²×C₄	—	5	1	no	—
1093	C₂²×C₄	—	5	1	no	—
1094	C₂²×C₄	—	5	1	no	—
1095	C₂²×C₄	—	5	1	no	—
1096	C₂²×C₄	—	5	1	no	—
1097	C₂²×C₄	—	5	1	no	—
1098	C₂²×C₄	—	5	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	1	no	—
1104	C₂²×C₄	—	5	1	no	—
1105	C₂²×C₄	—	5	1	no	—
1106	C₂²×C₄	—	5	1	no	—
1107	C₂²×C₄	—	5	1	no	—
1108	C₂²×C₄	—	10	2	no	—
1109	C₂²×C₄	—	10	2	no	—
1110	C₂²×C₄	—	10	2	no	—
1111	C₂²×C₄	—	20	1	no	—
1112	C₂²×C₄	—	20	1	no	—
1113	C₂²×C₄	—	20	1	no	—
1114	C₂²×C₄	—	20	1	no	—
1115	C₂²×C₄	—	20	1	no	—
1116	C₂²×C₄	—	20	1	no	—
1117	C₂²×C₄	—	20	1	no	—
1118	C₂²×C₄	—	20	1	no	—
1119	C₂²×C₄	—	20	1	no	—
1120	C₂²×C₄	C₂²×Dic₅	1	4	yes	—
1121	C₂²×C₄	C₂²×Dic₅	1	4	yes	—
1122	C₂²×C₄	C₂²×Dic₅	1	4	yes	—
1123	C₂²×C₄	C₂²×Dic₅	1	4	yes	—
1124	C₂²×C₄	C₂²×Dic₅	1	4	yes	—
1125	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1131	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1132	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1133	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1134	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1137	C₄⋊C₄	—	10	2	no	—
1138	C₄⋊C₄	—	10	2	no	—
1139	C₄⋊C₄	—	10	2	no	—
1140	C₄⋊C₄	—	10	2	no	—
1141	C₄⋊C₄	—	10	2	no	—
1142	C₄⋊C₄	—	20	1	no	—
1143	C₄⋊C₄	—	20	1	no	—
1144	C₄⋊C₄	—	20	1	no	—
1145	C₄⋊C₄	—	20	1	no	—
1146	C₄⋊C₄	—	20	1	no	—
1147	C₄⋊C₄	—	20	1	no	—
1148	C₄⋊C₄	—	20	1	no	—
1149	C₄⋊C₄	—	20	1	no	—
1150	C₄⋊C₄	—	20	1	no	—
1151	C₄⋊C₄	—	20	1	no	—
1152	C₄⋊C₄	—	20	1	no	—
1153	C₄⋊C₄	—	20	1	no	—
1154	C₄⋊C₄	—	20	1	no	—
1155	C₄⋊C₄	—	20	1	no	—
1156	C₄⋊C₄	—	20	1	no	—
1157	C₄⋊C₄	—	20	1	no	—
1158	C₄⋊C₄	—	20	1	no	—
1159	C₄⋊C₄	—	20	1	no	—
1160	C₄⋊C₄	—	20	1	no	—
1161	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1162	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1163	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1164	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1165	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1166	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1167	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1168	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1169	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1170	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1171	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1172	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1173	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1174	C₄⋊C₄	C₂²×Dic₅	1	4	yes	—
1175	C₂²⋊C₄	—	10	2	no	—
1176	C₂²⋊C₄	—	10	2	no	—
1177	C₂²⋊C₄	—	10	2	no	—
1178	C₂²⋊C₄	—	20	1	no	—
1179	C₂²⋊C₄	—	20	1	no	—
1180	C₂²⋊C₄	—	20	1	no	—
1181	C₂²⋊C₄	—	20	1	no	—
1182	C₂²⋊C₄	—	20	1	no	—
1183	C₂²⋊C₄	—	20	1	no	—
1184	C₂²⋊C₄	—	20	1	no	—
1185	C₂²⋊C₄	—	20	1	no	—
1186	C₂²⋊C₄	—	20	1	no	—
1187	C₂²⋊C₄	—	20	1	no	—
1188	C₂²⋊C₄	—	20	1	no	—
1189	C₂²⋊C₄	—	20	1	no	—
1190	C₂²⋊C₄	—	20	1	no	—
1191	C₂²⋊C₄	—	20	1	no	—
1192	C₂²⋊C₄	—	20	1	no	—
1193	C₂²⋊C₄	—	20	1	no	—
1194	C₂²⋊C₄	—	20	1	no	—
1195	C₂²⋊C₄	C₂²×Dic₅	1	4	yes	—
1196	C₂²⋊C₄	C₂²×Dic₅	1	4	yes	—
1197	C₂²⋊C₄	C₂²×Dic₅	1	4	yes	—
1198	C₂²⋊C₄	C₂²×Dic₅	1	4	yes	—
1199	C₂²⋊C₄	C₂²×Dic₅	1	4	yes	—
1200	C₂²⋊C₄	C₂²×Dic₅	1	4	yes	—
1201	C₂²⋊C₄	C₂²×Dic₅	1	4	yes	—
1202	C₂²⋊C₄	C₂²×Dic₅	1	4	yes	—
1203	C₂²⋊C₄	C₂²×Dic₅	1	4	yes	—
1204	C₂²⋊C₄	C₂²×Dic₅	1	4	yes	—
1205	C₄²	—	10	2	no	—
1206	C₄²	—	10	2	no	—
1207	C₄²	—	10	2	no	—
1208	C₄²	—	20	1	no	—
1209	C₄²	—	20	1	no	—
1210	C₄²	—	20	1	no	—
1211	C₄²	—	20	1	no	—
1212	C₄²	—	20	1	no	—
1213	C₄²	—	20	1	no	—
1214	C₄²	—	20	1	no	—
1215	C₄²	—	20	1	no	—
1216	C₄²	—	20	1	no	—
1217	C₄²	—	20	1	no	—
1218	C₄²	—	20	1	no	—
1219	C₄²	—	20	1	no	—
1220	C₄²	—	20	1	no	—
1221	C₄²	—	20	1	no	—
1222	C₄²	—	20	1	no	—
1223	C₄²	—	20	1	no	—
1224	C₄²	—	20	1	no	—
1225	C₄²	—	20	1	no	—
1226	C₄²	—	20	1	no	—
1227	C₄²	—	20	1	no	—
1228	C₄²	—	20	1	no	—
1229	C₄²	C₂²×Dic₅	1	4	yes	—
1230	C₄²	C₂²×Dic₅	1	4	yes	—
1231	C₂×C₅	—	4	2	no	—
1232	C₂×C₅	—	4	2	no	—
1233	C₂×C₅	—	4	2	no	—
1234	C₂×C₅	#3428	1	1	yes	characteristic
1235	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1236	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1237	C₂×C₅	#3533	1	1	yes	characteristic
1238	C₂×C₅	#3541	1	1	yes	characteristic
1239	C₂×C₅	#3557	1	1	yes	characteristic
1240	C₂×C₅	#3567	1	1	yes	characteristic
1241	C₂³	—	2	1	no	—
1242	C₂³	—	2	1	no	—
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	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	C₂³×Dic₅	1	2	yes	—
1260	C₂³	C₂³×Dic₅	1	2	yes	—
1261	C₂³	C₂³×Dic₅	1	2	yes	—
1262	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1263	Q₈	—	4	4	no	—
1264	D₄	—	4	4	no	—
1265	D₄	—	4	4	no	—
1266	D₄	—	4	4	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	4	4	no	—
1292	C₂×C₄	—	4	4	no	—
1293	C₂×C₄	—	4	4	no	—
1294	C₂×C₄	—	4	4	no	—
1295	C₂×C₄	—	4	4	no	—
1296	C₂×C₄	—	5	2	no	—
1297	C₂×C₄	—	5	2	no	—
1298	C₂×C₄	—	10	1	no	—
1299	C₂×C₄	—	10	1	no	—
1300	C₂×C₄	—	10	1	no	—
1301	C₂×C₄	—	10	1	no	—
1302	C₂×C₄	—	10	1	no	—
1303	C₂×C₄	—	10	1	no	—
1304	C₂×C₄	—	10	1	no	—
1305	C₂×C₄	—	10	1	no	—
1306	C₂×C₄	—	10	1	no	—
1307	C₂×C₄	—	10	1	no	—
1308	C₂×C₄	—	10	1	no	—
1309	C₂×C₄	—	10	1	no	—
1310	C₂×C₄	—	10	1	no	—
1311	C₂×C₄	—	10	1	no	—
1312	C₂×C₄	—	10	1	no	—
1313	C₂×C₄	—	10	1	no	—
1314	C₂×C₄	—	10	1	no	—
1315	C₂×C₄	—	10	1	no	—
1316	C₂×C₄	—	10	1	no	—
1317	C₂×C₄	—	10	1	no	—
1318	C₂×C₄	—	10	1	no	—
1319	C₂×C₄	—	10	1	no	—
1320	C₂×C₄	—	10	1	no	—
1321	C₂×C₄	—	10	1	no	—
1322	C₂×C₄	—	10	1	no	—
1323	C₂×C₄	—	10	1	no	—
1324	C₂×C₄	—	10	1	no	—
1325	C₂×C₄	—	10	1	no	—
1326	C₂×C₄	—	10	1	no	—
1327	C₂×C₄	—	10	1	no	—
1328	C₂×C₄	—	10	1	no	—
1329	C₂×C₄	—	10	1	no	—
1330	C₂×C₄	—	10	1	no	—
1331	C₂×C₄	—	10	1	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	—	20	4	no	—
1345	C₂×C₄	—	20	4	no	—
1346	C₂×C₄	—	40	2	no	—
1347	C₂×C₄	—	40	2	no	—
1348	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1349	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1350	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1351	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1352	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1353	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1354	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1355	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1356	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1357	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1358	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1359	C₂×C₄	C₂³×Dic₅	1	2	yes	—
1360	C₅	#34449	1	1	yes	characteristic, complemented, Sylow
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	2	no	—
1368	C₂²	—	2	2	no	—
1369	C₂²	—	2	2	no	—
1370	C₂²	—	4	1	no	—
1371	C₂²	—	4	1	no	—
1372	C₂²	—	4	1	no	—
1373	C₂²	—	4	1	no	—
1374	C₂²	—	4	1	no	—
1375	C₂²	—	4	1	no	—
1376	C₂²	—	4	1	no	—
1377	C₂²	—	4	1	no	—
1378	C₂²	—	4	1	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	1	no	—
1381	C₂²	—	4	1	no	—
1382	C₂²	#66283	1	1	yes	characteristic
1383	C₂²	#66283	1	1	yes	characteristic
1384	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1385	C₂²	#66285	1	1	yes	characteristic
1386	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1387	C₂²	#66287	1	1	yes	characteristic
1388	C₂²	C₂⁴×Dic₅	1	1	yes	characteristic
1389	C₄	—	2	2	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	2	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	2	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	2	2	no	—
1398	C₄	—	2	2	no	—
1399	C₄	—	2	2	no	—
1400	C₄	—	2	2	no	—
1401	C₄	—	10	2	no	—
1402	C₄	—	10	2	no	—
1403	C₄	—	20	1	no	—
1404	C₄	—	20	1	no	—
1405	C₄	—	20	1	no	—
1406	C₄	—	20	1	no	—
1407	C₄	—	20	1	no	—
1408	C₄	—	20	1	no	—
1409	C₄	—	20	1	no	—
1410	C₄	—	20	1	no	—
1411	C₄	—	20	1	no	—
1412	C₄	—	20	1	no	—
1413	C₄	—	20	1	no	—
1414	C₄	—	20	1	no	—
1415	C₄	—	20	1	no	—
1416	C₄	—	20	1	no	—
1417	C₂	—	4	2	no	—
1418	C₂	—	4	2	no	—
1419	C₂	—	4	2	no	—
1420	C₂	#10618338	1	1	yes	characteristic
1421	C₂	#10618342	1	1	yes	characteristic
1422	C₂	#10618352	1	1	yes	characteristic
1423	C₂	#10618358	1	1	yes	characteristic
1424	C₂	#10619161	1	1	yes	characteristic
1425	C₂	Dic₅×H(5,𝔽₂)	1	1	yes	characteristic
1426	C₂	Dic₅×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator	C₂²×C₅	C₂⁴×C₄
Fitting	C₂×C₅×#539	C₂
socle, cosocle	C₂³×C₅	C₂⁵
prime radical	C₂×C₅×#121	C₂²
hypercenter	C₂×#539	D₅
hypocenter	C₅	#34449
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#539

Complements

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

N	H ≅ G/N	type
2. #10614806	C₂	semidirect
3. #10614806	C₂	semidirect
4. #10614805	C₂	semidirect
5. #10614805	C₂	semidirect
6. #10614758	C₂	semidirect
7. #10614757	C₂	semidirect
8. #10614756	C₂	semidirect
9. #10614756	C₂	semidirect
10. #10614571	C₂	semidirect
11. #10614570	C₂	semidirect
12. #10614568	C₂	semidirect
13. #10614568	C₂	semidirect
14. #10614568	C₂	semidirect
15. #10614568	C₂	semidirect
16. #10614567	C₂	semidirect
17. Dic₅×#123	C₂	semidirect
18. #10614481	C₂	semidirect
19. #10614481	C₂	semidirect
20. #10614479	C₂	semidirect
21. #10614478	C₂	semidirect
22. #10614477	C₂	semidirect
23. Dic₅×C₂²⋊Q₈	C₂	semidirect
26. #10614069	C₂	semidirect
27. #10614066	C₂	semidirect
28. #10614056	C₂	semidirect
29. #10614049	C₂	semidirect
30. #10613891	C₂	semidirect
31. #10613890	C₂	semidirect
32. C₅×#539	C₄	semidirect
202. C₅×#126	C₂×C₄	semidirect
203. C₅×#126	C₂×C₄	semidirect
204. C₅×#125	C₂×C₄	semidirect
205. C₅×#125	C₂×C₄	semidirect
208. C₅×#123	C₂×C₄	semidirect
209. C₅×#123	C₂×C₄	semidirect
210. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
211. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
212. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
214. C₄×C₅×D₄	C₂×C₄	semidirect
215. C₄×C₅×D₄	C₂×C₄	semidirect
216. C₂×C₅×C₄⋊C₄	C₂×C₄	semidirect
560. #539	Dic₅	semidirect
848. #126	C₂×Dic₅	semidirect
849. #126	C₂×Dic₅	semidirect
850. #125	C₂×Dic₅	semidirect
851. #125	C₂×Dic₅	semidirect
854. #123	C₂×Dic₅	semidirect
855. #123	C₂×Dic₅	semidirect
856. C₂²⋊Q₈	C₂×Dic₅	semidirect
857. C₂²⋊Q₈	C₂×Dic₅	semidirect
858. C₂²⋊Q₈	C₂×Dic₅	semidirect
862. C₄×D₄	C₂×Dic₅	semidirect
863. C₄×D₄	C₂×Dic₅	semidirect
891. C₂×C₄⋊C₄	C₂×Dic₅	semidirect
1360. C₅	#34449	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×#539	2
#10614806	2
#10614805	2
#10614758	2
#10614757	2
#10614756	2
#10614571	2
#10614570	2
#10614568	2
#10614567	2
Dic₅×#123	2
#10614481	2
#10614479	2
#10614478	2
#10614477	2
Dic₅×C₂²⋊Q₈	2
#10614366	2
#10614364	2
#10614069	2
#10614066	2
#10614056	2
#10614049	2
#10613891	2
#10613890	2
#34449	5