Subgroups — C₂×C₅×#3565 #11985461

Order 1280.

6554 conjugacy classes of subgroups.

The subgroup lattice has 1232 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3565	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₅×#563	C₂	1	2	yes	maximal, complemented
3	C₂×C₅×#562	C₂	1	2	yes	maximal, complemented
4	C₂×C₅×#557	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅×#556	C₂	1	2	yes	maximal, complemented
6	C₂×C₅×#556	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₅×#555	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₅×#554	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₅×#553	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₅×#553	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₅×#552	C₂	1	2	yes	maximal, complemented
12	C₂×C₅×#552	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₅×#552	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₅×#544	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₅×#544	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₅×#542	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₅×#542	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₅×#542	C₂	1	2	yes	maximal, complemented
19	C₂×C₅×#542	C₂	1	2	yes	maximal, complemented
20	C₂×C₅×#541	C₂	1	2	yes	maximal, complemented
21	C₂×C₅×#539	C₂	1	2	yes	maximal, complemented
22	C₂×C₅×#533	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅×#563	C₂²	1	32	yes	complemented
26	C₅×#562	C₂²	1	32	yes	complemented
27	C₅×#557	C₂²	1	16	yes	complemented
28	C₅×#556	C₂²	1	32	yes	complemented
29	C₅×#556	C₂²	1	16	yes	complemented
30	C₅×#555	C₂²	1	16	yes	complemented
31	C₅×#554	C₂²	1	16	yes	complemented
32	C₅×#553	C₂²	1	16	yes	complemented
33	C₅×#553	C₂²	1	16	yes	complemented
34	C₅×#552	C₂²	1	32	yes	complemented
35	C₅×#552	C₂²	1	16	yes	complemented
36	C₅×#552	C₂²	1	16	yes	complemented
37	C₅×#544	C₂²	1	16	yes	complemented
38	C₅×#544	C₂²	1	16	yes	complemented
39	C₅×#542	C₂²	1	16	yes	complemented
40	C₅×#542	C₂²	1	16	yes	complemented
41	C₅×#542	C₂²	1	32	yes	complemented
42	C₅×#542	C₂²	1	32	yes	complemented
43	C₅×#541	C₂²	1	32	yes	complemented
44	C₅×#539	C₂²	1	32	yes	complemented
45	C₅×#533	C₂²	1	16	yes	complemented
46	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
47	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
48	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
49	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
50	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
51	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
52	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
53	C₅×#529	C₂²	1	16	yes	complemented
54	C₅×#529	C₂²	1	16	yes	complemented
55	C₂×C₅×#126	C₂²	1	2	yes	—
56	C₂×C₅×#126	C₂²	1	1	yes	characteristic
57	C₂×C₅×#126	C₂²	1	1	yes	characteristic
58	C₂×C₅×#126	C₂²	1	2	yes	—
59	C₂×C₅×#126	C₂²	1	2	yes	—
60	C₂×C₅×#126	C₂²	1	2	yes	—
61	C₂×C₅×#126	C₂²	1	2	yes	—
62	C₂×C₅×#126	C₂²	1	2	yes	—
63	C₂×C₅×#126	C₂²	1	2	yes	—
64	C₂×C₅×#126	C₂²	1	2	yes	—
65	C₂×C₅×#126	C₂²	1	2	yes	—
66	C₂×C₅×#125	C₂²	1	1	yes	characteristic
67	C₂×C₅×#125	C₂²	1	1	yes	characteristic
68	C₂×C₅×#125	C₂²	1	1	yes	characteristic
69	C₂×C₅×#125	C₂²	1	1	yes	characteristic
70	C₂×C₅×#125	C₂²	1	2	yes	—
71	C₂×C₅×#125	C₂²	1	2	yes	—
72	C₂×C₅×#125	C₂²	1	2	yes	—
73	C₂×C₅×#125	C₂²	1	2	yes	—
74	C₂×C₅×#125	C₂²	1	2	yes	—
75	C₂×C₅×#125	C₂²	1	1	yes	characteristic
76	C₂×C₅×#125	C₂²	1	2	yes	—
77	C₂×C₅×#125	C₂²	1	1	yes	characteristic
78	C₂×C₅×#124	C₂²	1	1	yes	characteristic
79	C₂×C₅×#124	C₂²	1	1	yes	characteristic
80	C₂×C₅×#124	C₂²	1	2	yes	—
81	C₂×C₅×#124	C₂²	1	2	yes	—
82	C₂×C₅×#124	C₂²	1	2	yes	—
83	C₂×C₅×#124	C₂²	1	2	yes	—
84	C₂×C₅×#124	C₂²	1	2	yes	—
85	C₂×C₅×#123	C₂²	1	1	yes	characteristic
86	C₂×C₅×#123	C₂²	1	1	yes	characteristic
87	C₂×C₅×#123	C₂²	1	2	yes	—
88	C₂×C₅×#123	C₂²	1	2	yes	—
89	C₂×C₅×#123	C₂²	1	2	yes	—
90	C₂×C₅×#123	C₂²	1	2	yes	—
91	C₂×C₅×#123	C₂²	1	2	yes	—
92	C₂×C₅×#123	C₂²	1	2	yes	—
93	C₂×C₅×#123	C₂²	1	2	yes	—
94	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
95	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
96	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
97	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
98	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
99	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
100	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
101	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
102	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
103	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
104	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
105	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
106	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
107	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
108	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
109	C₂×C₅×#121	C₂²	1	1	yes	characteristic
110	C₂×C₅×#121	C₂²	1	1	yes	characteristic
111	C₂×C₅×#121	C₂²	1	2	yes	—
112	C₂×C₅×#121	C₂²	1	1	yes	characteristic
113	C₂×C₅×#121	C₂²	1	1	yes	characteristic
114	C₂×C₅×#121	C₂²	1	2	yes	—
115	C₂×C₅×#121	C₂²	1	2	yes	—
116	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
117	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
118	C₂×C₄×C₅×Q₈	C₂²	1	2	yes	—
119	C₂×C₄×C₅×Q₈	C₂²	1	2	yes	—
120	C₂×C₄×C₅×Q₈	C₂²	1	2	yes	—
121	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
122	C₂×C₄×C₅×Q₈	C₂²	1	2	yes	—
123	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
124	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
125	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
126	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
127	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
128	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
129	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
130	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
131	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
132	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
133	C₂×C₅×#117	C₂²	1	1	yes	characteristic
134	C₂×C₅×#117	C₂²	1	1	yes	characteristic
135	C₂×C₅×#117	C₂²	1	2	yes	—
136	C₂×C₅×#117	C₂²	1	1	yes	characteristic
137	C₂×C₅×#117	C₂²	1	1	yes	characteristic
138	C₂×C₅×#117	C₂²	1	2	yes	—
139	C₂×C₅×#117	C₂²	1	2	yes	—
140	C₂×C₅×#117	C₂²	1	2	yes	—
141	C₂×C₅×#117	C₂²	1	1	yes	characteristic
142	C₂×C₅×#117	C₂²	1	1	yes	characteristic
143	C₂²×C₅×C₄⋊C₄	C₂²	1	2	yes	—
144	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
145	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
146	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
147	C₂×#3565	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
148	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
149	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
150	C₂²×C₅×Q₈	C₂³	1	2	yes	—
151	C₂²×C₅×Q₈	C₂³	1	2	yes	—
152	C₂²×C₅×Q₈	C₂³	1	2	yes	—
153	C₂²×C₅×Q₈	C₂³	1	2	yes	—
154	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
155	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
156	C₂²×C₅×D₄	C₂³	1	2	yes	—
157	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
158	C₂²×C₅×D₄	C₂³	1	2	yes	—
159	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
160	C₂²×C₅×D₄	C₂³	1	2	yes	—
161	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
166	C₂³×C₄×C₅	C₂³	1	2	yes	—
167	C₂³×C₄×C₅	C₂³	1	2	yes	—
168	C₂³×C₄×C₅	C₂³	1	2	yes	—
169	C₂³×C₄×C₅	C₂³	1	2	yes	—
170	C₂³×C₄×C₅	C₂³	1	2	yes	—
171	C₅×C₄⋊Q₈	C₂³	1	8	yes	—
172	C₅×C₄⋊Q₈	C₂³	1	8	yes	—
173	C₅×C₄⋊Q₈	C₂³	1	16	yes	—
174	C₅×C₄⋊Q₈	C₂³	1	16	yes	—
175	C₅×C₄⋊Q₈	C₂³	1	8	yes	—
176	C₅×C₄⋊Q₈	C₂³	1	8	yes	—
177	C₅×C₄⋊Q₈	C₂³	1	16	yes	—
178	C₅×#126	C₂³	1	16	yes	—
179	C₅×#126	C₂³	1	8	yes	—
180	C₅×#126	C₂³	1	8	yes	—
181	C₅×#126	C₂³	1	16	yes	—
182	C₅×#126	C₂³	1	16	yes	—
183	C₅×#126	C₂³	1	16	yes	—
184	C₅×#126	C₂³	1	16	yes	—
185	C₅×#126	C₂³	1	16	yes	—
186	C₅×#126	C₂³	1	16	yes	—
187	C₅×#126	C₂³	1	16	yes	—
188	C₅×#126	C₂³	1	16	yes	—
189	C₅×#125	C₂³	1	8	yes	—
190	C₅×#125	C₂³	1	8	yes	—
191	C₅×#125	C₂³	1	8	yes	—
192	C₅×#125	C₂³	1	8	yes	—
193	C₅×#125	C₂³	1	16	yes	—
194	C₅×#125	C₂³	1	16	yes	—
195	C₅×#125	C₂³	1	16	yes	—
196	C₅×#125	C₂³	1	16	yes	—
197	C₅×#125	C₂³	1	16	yes	—
198	C₅×#125	C₂³	1	8	yes	—
199	C₅×#125	C₂³	1	16	yes	—
200	C₅×#125	C₂³	1	8	yes	—
201	C₅×#124	C₂³	1	8	yes	—
202	C₅×#124	C₂³	1	8	yes	—
203	C₅×#124	C₂³	1	16	yes	—
204	C₅×#124	C₂³	1	16	yes	—
205	C₅×#124	C₂³	1	16	yes	—
206	C₅×#124	C₂³	1	16	yes	—
207	C₅×#124	C₂³	1	16	yes	—
208	C₅×#123	C₂³	1	8	yes	—
209	C₅×#123	C₂³	1	8	yes	—
210	C₅×#123	C₂³	1	16	yes	—
211	C₅×#123	C₂³	1	16	yes	—
212	C₅×#123	C₂³	1	16	yes	—
213	C₅×#123	C₂³	1	16	yes	—
214	C₅×#123	C₂³	1	16	yes	—
215	C₅×#123	C₂³	1	16	yes	—
216	C₅×#123	C₂³	1	16	yes	—
217	C₅×C₂²⋊Q₈	C₂³	1	8	yes	—
218	C₅×C₂²⋊Q₈	C₂³	1	8	yes	—
219	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
220	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
221	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
222	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
223	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
224	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
225	C₅×C₂²⋊Q₈	C₂³	1	8	yes	—
226	C₅×C₂²⋊Q₈	C₂³	1	8	yes	—
227	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
228	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
229	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
230	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
231	C₅×C₂²⋊Q₈	C₂³	1	16	yes	—
232	C₅×#121	C₂³	1	8	yes	—
233	C₅×#121	C₂³	1	8	yes	—
234	C₅×#121	C₂³	1	16	yes	—
235	C₅×#121	C₂³	1	8	yes	—
236	C₅×#121	C₂³	1	8	yes	—
237	C₅×#121	C₂³	1	16	yes	—
238	C₅×#121	C₂³	1	16	yes	—
239	C₄×C₅×Q₈	C₂³	1	8	yes	—
240	C₄×C₅×Q₈	C₂³	1	8	yes	—
241	C₄×C₅×Q₈	C₂³	1	16	yes	—
242	C₄×C₅×Q₈	C₂³	1	16	yes	—
243	C₄×C₅×Q₈	C₂³	1	16	yes	—
244	C₄×C₅×Q₈	C₂³	1	8	yes	—
245	C₄×C₅×Q₈	C₂³	1	16	yes	—
246	C₄×C₅×Q₈	C₂³	1	8	yes	—
247	C₄×C₅×D₄	C₂³	1	16	yes	—
248	C₄×C₅×D₄	C₂³	1	8	yes	—
249	C₄×C₅×D₄	C₂³	1	8	yes	—
250	C₄×C₅×D₄	C₂³	1	8	yes	—
251	C₄×C₅×D₄	C₂³	1	8	yes	—
252	C₄×C₅×D₄	C₂³	1	16	yes	—
253	C₄×C₅×D₄	C₂³	1	16	yes	—
254	C₄×C₅×D₄	C₂³	1	8	yes	—
255	C₄×C₅×D₄	C₂³	1	8	yes	—
256	C₅×#117	C₂³	1	8	yes	—
257	C₅×#117	C₂³	1	8	yes	—
258	C₅×#117	C₂³	1	16	yes	—
259	C₅×#117	C₂³	1	8	yes	—
260	C₅×#117	C₂³	1	8	yes	—
261	C₅×#117	C₂³	1	16	yes	—
262	C₅×#117	C₂³	1	16	yes	—
263	C₅×#117	C₂³	1	16	yes	—
264	C₅×#117	C₂³	1	8	yes	—
265	C₅×#117	C₂³	1	8	yes	—
266	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
272	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
273	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
274	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
275	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
276	C₂×C₅×C₄⋊C₄	C₂³	1	16	yes	—
277	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	—
278	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	—
279	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
283	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
284	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
286	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
288	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
289	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
292	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
294	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
295	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
299	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
300	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
301	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
302	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
303	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
304	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
305	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
306	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
307	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
308	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
312	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
313	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
314	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
316	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
317	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
320	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
321	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
322	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
325	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
326	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
327	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
328	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
330	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
331	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₅	C₂³	1	8	yes	—
337	C₂×C₄²×C₅	C₂³	1	2	yes	—
338	C₂×C₄²×C₅	C₂³	1	2	yes	—
339	C₂×C₄²×C₅	C₂³	1	2	yes	—
340	C₂×C₄²×C₅	C₂³	1	2	yes	—
341	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₅	C₂³	1	2	yes	—
344	C₂×C₄²×C₅	C₂³	1	2	yes	—
345	C₂×C₄²×C₅	C₂³	1	2	yes	—
346	#3565	C₂×C₅	1	32	yes	direct product factor
347	C₂×#563	C₂×C₅	1	2	yes	complemented
348	C₂×#562	C₂×C₅	1	2	yes	complemented
349	C₂×#557	C₂×C₅	1	1	yes	characteristic, complemented
350	C₂×#556	C₂×C₅	1	2	yes	complemented
351	C₂×#556	C₂×C₅	1	1	yes	characteristic, complemented
352	C₂×#555	C₂×C₅	1	1	yes	characteristic, complemented
353	C₂×#554	C₂×C₅	1	1	yes	characteristic, complemented
354	C₂×#553	C₂×C₅	1	1	yes	characteristic, complemented
355	C₂×#553	C₂×C₅	1	1	yes	characteristic, complemented
356	C₂×#552	C₂×C₅	1	2	yes	complemented
357	C₂×#552	C₂×C₅	1	1	yes	characteristic, complemented
358	C₂×#552	C₂×C₅	1	1	yes	characteristic, complemented
359	C₂×#544	C₂×C₅	1	1	yes	characteristic, complemented
360	C₂×#544	C₂×C₅	1	1	yes	characteristic, complemented
361	C₂×#542	C₂×C₅	1	1	yes	characteristic, complemented
362	C₂×#542	C₂×C₅	1	1	yes	characteristic, complemented
363	C₂×#542	C₂×C₅	1	2	yes	complemented
364	C₂×#542	C₂×C₅	1	2	yes	complemented
365	C₂×#541	C₂×C₅	1	2	yes	complemented
366	C₂×#539	C₂×C₅	1	2	yes	complemented
367	C₂×#533	C₂×C₅	1	1	yes	characteristic, complemented
368	C₂×#529	C₂×C₅	1	1	yes	characteristic, complemented
369	C₂×#529	C₂×C₅	1	1	yes	characteristic, complemented
370	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₅	C₂⁴	1	2	yes	—
374	C₂×C₅×Q₈	—	2	4	no	—
375	C₂×C₅×Q₈	—	4	2	no	—
376	C₂×C₅×Q₈	—	4	4	no	—
377	C₂×C₅×Q₈	—	4	4	no	—
378	C₂×C₅×Q₈	—	4	4	no	—
379	C₂×C₅×Q₈	—	4	4	no	—
380	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
381	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
382	C₂×C₅×Q₈	C₂⁴	1	8	yes	—
383	C₂×C₅×Q₈	C₂⁴	1	8	yes	—
384	C₂×C₅×Q₈	C₂⁴	1	8	yes	—
385	C₂×C₅×Q₈	C₂⁴	1	8	yes	—
386	C₂×C₅×D₄	—	2	4	no	—
387	C₂×C₅×D₄	—	4	2	no	—
388	C₂×C₅×D₄	—	4	2	no	—
389	C₂×C₅×D₄	—	4	4	no	—
390	C₂×C₅×D₄	—	4	4	no	—
391	C₂×C₅×D₄	—	4	2	no	—
392	C₂×C₅×D₄	—	4	4	no	—
393	C₂×C₅×D₄	C₂⁴	1	4	yes	—
394	C₂×C₅×D₄	C₂⁴	1	4	yes	—
395	C₂×C₅×D₄	C₂⁴	1	8	yes	—
396	C₂×C₅×D₄	C₂⁴	1	4	yes	—
397	C₂×C₅×D₄	C₂⁴	1	8	yes	—
398	C₂×C₅×D₄	C₂⁴	1	4	yes	—
399	C₂×C₅×D₄	C₂⁴	1	8	yes	—
400	C₂²×C₄×C₅	—	2	4	no	—
401	C₂²×C₄×C₅	—	2	4	no	—
402	C₂²×C₄×C₅	—	2	4	no	—
403	C₂²×C₄×C₅	—	4	4	no	—
404	C₂²×C₄×C₅	—	4	2	no	—
405	C₂²×C₄×C₅	—	4	4	no	—
406	C₂²×C₄×C₅	—	4	4	no	—
407	C₂²×C₄×C₅	—	4	4	no	—
408	C₂²×C₄×C₅	—	4	4	no	—
409	C₂²×C₄×C₅	—	4	2	no	—
410	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
411	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
412	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
413	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
418	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
424	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
426	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
427	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
428	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
430	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
432	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
433	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
434	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
435	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
436	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
437	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
438	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
439	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
440	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
441	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
442	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
443	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
444	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
445	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
446	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
447	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
448	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
449	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
450	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
451	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
452	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
453	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
454	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
455	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
456	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
457	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
458	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
459	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
460	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
461	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
462	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
463	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
464	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
465	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
466	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
467	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
468	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
469	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
470	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
471	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
472	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
473	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
474	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
475	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
476	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
477	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
478	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
479	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
480	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
481	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
482	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
483	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
484	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
485	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
486	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
487	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
488	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
489	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
490	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
491	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
492	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
493	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
494	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
495	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
496	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
497	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
498	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
499	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
500	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
501	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
502	C₄²×C₅	C₂⁴	1	4	yes	—
503	C₄²×C₅	C₂⁴	1	4	yes	—
504	C₄²×C₅	C₂⁴	1	4	yes	—
505	C₄²×C₅	C₂⁴	1	4	yes	—
506	C₄²×C₅	C₂⁴	1	8	yes	—
507	C₄²×C₅	C₂⁴	1	8	yes	—
508	C₄²×C₅	C₂⁴	1	8	yes	—
509	C₄²×C₅	C₂⁴	1	8	yes	—
510	C₄²×C₅	C₂⁴	1	4	yes	—
511	C₄²×C₅	C₂⁴	1	4	yes	—
512	C₄²×C₅	C₂⁴	1	8	yes	—
513	C₄²×C₅	C₂⁴	1	8	yes	—
514	C₄²×C₅	C₂⁴	1	8	yes	—
515	#563	C₂²×C₅	1	32	yes	complemented
516	#562	C₂²×C₅	1	32	yes	complemented
517	#557	C₂²×C₅	1	16	yes	complemented
518	#556	C₂²×C₅	1	32	yes	complemented
519	#556	C₂²×C₅	1	16	yes	complemented
520	#555	C₂²×C₅	1	16	yes	complemented
521	#554	C₂²×C₅	1	16	yes	complemented
522	#553	C₂²×C₅	1	16	yes	complemented
523	#553	C₂²×C₅	1	16	yes	complemented
524	#552	C₂²×C₅	1	32	yes	complemented
525	#552	C₂²×C₅	1	16	yes	complemented
526	#552	C₂²×C₅	1	16	yes	complemented
527	#544	C₂²×C₅	1	16	yes	complemented
528	#544	C₂²×C₅	1	16	yes	complemented
529	#542	C₂²×C₅	1	16	yes	complemented
530	#542	C₂²×C₅	1	16	yes	complemented
531	#542	C₂²×C₅	1	32	yes	complemented
532	#542	C₂²×C₅	1	32	yes	complemented
533	#541	C₂²×C₅	1	32	yes	complemented
534	#539	C₂²×C₅	1	32	yes	complemented
535	#533	C₂²×C₅	1	16	yes	complemented
536	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
537	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
538	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
539	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
540	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
541	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
542	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
543	#529	C₂²×C₅	1	16	yes	complemented
544	#529	C₂²×C₅	1	16	yes	complemented
545	C₂×#126	C₂²×C₅	1	2	yes	—
546	C₂×#126	C₂²×C₅	1	1	yes	characteristic
547	C₂×#126	C₂²×C₅	1	1	yes	characteristic
548	C₂×#126	C₂²×C₅	1	2	yes	—
549	C₂×#126	C₂²×C₅	1	2	yes	—
550	C₂×#126	C₂²×C₅	1	2	yes	—
551	C₂×#126	C₂²×C₅	1	2	yes	—
552	C₂×#126	C₂²×C₅	1	2	yes	—
553	C₂×#126	C₂²×C₅	1	2	yes	—
554	C₂×#126	C₂²×C₅	1	2	yes	—
555	C₂×#126	C₂²×C₅	1	2	yes	—
556	C₂×#125	C₂²×C₅	1	1	yes	characteristic
557	C₂×#125	C₂²×C₅	1	1	yes	characteristic
558	C₂×#125	C₂²×C₅	1	1	yes	characteristic
559	C₂×#125	C₂²×C₅	1	1	yes	characteristic
560	C₂×#125	C₂²×C₅	1	2	yes	—
561	C₂×#125	C₂²×C₅	1	2	yes	—
562	C₂×#125	C₂²×C₅	1	2	yes	—
563	C₂×#125	C₂²×C₅	1	2	yes	—
564	C₂×#125	C₂²×C₅	1	2	yes	—
565	C₂×#125	C₂²×C₅	1	1	yes	characteristic
566	C₂×#125	C₂²×C₅	1	2	yes	—
567	C₂×#125	C₂²×C₅	1	1	yes	characteristic
568	C₂×#124	C₂²×C₅	1	1	yes	characteristic
569	C₂×#124	C₂²×C₅	1	1	yes	characteristic
570	C₂×#124	C₂²×C₅	1	2	yes	—
571	C₂×#124	C₂²×C₅	1	2	yes	—
572	C₂×#124	C₂²×C₅	1	2	yes	—
573	C₂×#124	C₂²×C₅	1	2	yes	—
574	C₂×#124	C₂²×C₅	1	2	yes	—
575	C₂×#123	C₂²×C₅	1	1	yes	characteristic
576	C₂×#123	C₂²×C₅	1	1	yes	characteristic
577	C₂×#123	C₂²×C₅	1	2	yes	—
578	C₂×#123	C₂²×C₅	1	2	yes	—
579	C₂×#123	C₂²×C₅	1	2	yes	—
580	C₂×#123	C₂²×C₅	1	2	yes	—
581	C₂×#123	C₂²×C₅	1	2	yes	—
582	C₂×#123	C₂²×C₅	1	2	yes	—
583	C₂×#123	C₂²×C₅	1	2	yes	—
584	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
585	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
586	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
587	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
588	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
589	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
590	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
591	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
592	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
593	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
594	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
595	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
596	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
597	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
598	C₂×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
599	C₂×#121	C₂²×C₅	1	1	yes	characteristic
600	C₂×#121	C₂²×C₅	1	1	yes	characteristic
601	C₂×#121	C₂²×C₅	1	2	yes	—
602	C₂×#121	C₂²×C₅	1	1	yes	characteristic
603	C₂×#121	C₂²×C₅	1	1	yes	characteristic
604	C₂×#121	C₂²×C₅	1	2	yes	—
605	C₂×#121	C₂²×C₅	1	2	yes	—
606	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
607	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
608	C₂×C₄×Q₈	C₂²×C₅	1	2	yes	—
609	C₂×C₄×Q₈	C₂²×C₅	1	2	yes	—
610	C₂×C₄×Q₈	C₂²×C₅	1	2	yes	—
611	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
612	C₂×C₄×Q₈	C₂²×C₅	1	2	yes	—
613	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
614	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
615	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
616	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
617	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
618	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
619	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
620	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
621	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
622	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
623	C₂×#117	C₂²×C₅	1	1	yes	characteristic
624	C₂×#117	C₂²×C₅	1	1	yes	characteristic
625	C₂×#117	C₂²×C₅	1	2	yes	—
626	C₂×#117	C₂²×C₅	1	1	yes	characteristic
627	C₂×#117	C₂²×C₅	1	1	yes	characteristic
628	C₂×#117	C₂²×C₅	1	2	yes	—
629	C₂×#117	C₂²×C₅	1	2	yes	—
630	C₂×#117	C₂²×C₅	1	2	yes	—
631	C₂×#117	C₂²×C₅	1	1	yes	characteristic
632	C₂×#117	C₂²×C₅	1	1	yes	characteristic
633	C₂²×C₄⋊C₄	C₂²×C₅	1	2	yes	—
634	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
635	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
636	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
637	C₂³×C₅	—	2	2	no	—
638	C₂³×C₅	—	2	2	no	—
639	C₂³×C₅	—	2	2	no	—
640	C₂³×C₅	—	2	4	no	—
641	C₂³×C₅	—	2	2	no	—
642	C₂³×C₅	—	2	2	no	—
643	C₂³×C₅	—	2	4	no	—
644	C₂³×C₅	—	2	2	no	—
645	C₂³×C₅	—	2	2	no	—
646	C₂³×C₅	—	2	4	no	—
647	C₂³×C₅	—	2	2	no	—
648	C₂³×C₅	—	2	2	no	—
649	C₂³×C₅	C₂⁵	1	2	yes	—
650	C₂³×C₅	C₂⁵	1	2	yes	—
651	C₂³×C₅	C₂⁵	1	2	yes	—
652	C₂³×C₅	C₂⁵	1	4	yes	—
653	C₂³×C₅	C₂⁵	1	1	yes	characteristic
654	C₅×Q₈	—	2	8	no	—
655	C₅×Q₈	—	4	4	no	—
656	C₅×Q₈	—	4	8	no	—
657	C₅×Q₈	—	4	8	no	—
658	C₅×Q₈	—	4	8	no	—
659	C₅×Q₈	—	4	8	no	—
660	C₅×D₄	—	2	8	no	—
661	C₅×D₄	—	4	4	no	—
662	C₅×D₄	—	4	4	no	—
663	C₅×D₄	—	4	8	no	—
664	C₅×D₄	—	4	8	no	—
665	C₅×D₄	—	4	4	no	—
666	C₅×D₄	—	4	8	no	—
667	C₂×C₄×C₅	—	2	2	no	—
668	C₂×C₄×C₅	—	2	2	no	—
669	C₂×C₄×C₅	—	2	2	no	—
670	C₂×C₄×C₅	—	2	4	no	—
671	C₂×C₄×C₅	—	2	2	no	—
672	C₂×C₄×C₅	—	2	2	no	—
673	C₂×C₄×C₅	—	2	4	no	—
674	C₂×C₄×C₅	—	2	2	no	—
675	C₂×C₄×C₅	—	2	4	no	—
676	C₂×C₄×C₅	—	2	4	no	—
677	C₂×C₄×C₅	—	2	4	no	—
678	C₂×C₄×C₅	—	2	2	no	—
679	C₂×C₄×C₅	—	2	2	no	—
680	C₂×C₄×C₅	—	2	4	no	—
681	C₂×C₄×C₅	—	2	2	no	—
682	C₂×C₄×C₅	—	2	2	no	—
683	C₂×C₄×C₅	—	2	4	no	—
684	C₂×C₄×C₅	—	2	2	no	—
685	C₂×C₄×C₅	—	2	8	no	—
686	C₂×C₄×C₅	—	2	8	no	—
687	C₂×C₄×C₅	—	2	8	no	—
688	C₂×C₄×C₅	—	4	8	no	—
689	C₂×C₄×C₅	—	4	4	no	—
690	C₂×C₄×C₅	—	4	8	no	—
691	C₂×C₄×C₅	—	4	8	no	—
692	C₂×C₄×C₅	—	4	8	no	—
693	C₂×C₄×C₅	—	4	8	no	—
694	C₂×C₄×C₅	—	4	4	no	—
695	C₂×C₄×C₅	2₋¹⁺⁴	1	4	yes	—
696	C₂×C₄×C₅	C₂⁵	1	2	yes	—
697	C₂×C₄×C₅	C₂⁵	1	2	yes	—
698	C₂×C₄×C₅	C₂⁵	1	4	yes	—
699	C₂×C₄×C₅	C₂⁵	1	2	yes	—
700	C₂×C₄×C₅	C₂⁵	1	4	yes	—
701	C₂×C₄×C₅	C₂⁵	1	2	yes	—
702	C₂×C₄×C₅	C₂⁵	1	2	yes	—
703	C₂×C₄×C₅	C₂⁵	1	2	yes	—
704	C₂×C₄×C₅	C₂⁵	1	2	yes	—
705	C₂×C₄×C₅	C₂⁵	1	2	yes	—
706	C₂×C₄×C₅	C₂⁵	1	4	yes	—
707	C₂×C₄×C₅	C₂⁵	1	2	yes	—
708	C₂×C₄×C₅	C₂⁵	1	4	yes	—
709	C₂×C₄×C₅	C₂⁵	1	4	yes	—
710	C₂×C₄×C₅	C₂⁵	1	4	yes	—
711	C₂×C₄×C₅	C₂⁵	1	2	yes	—
712	C₂×C₄×C₅	C₂⁵	1	4	yes	—
713	C₂×C₄×C₅	C₂⁵	1	2	yes	—
714	C₂×C₄×C₅	C₂⁵	1	2	yes	—
715	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
716	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
717	C₂²×Q₈	C₂³×C₅	1	2	yes	—
718	C₂²×Q₈	C₂³×C₅	1	2	yes	—
719	C₂²×Q₈	C₂³×C₅	1	2	yes	—
720	C₂²×Q₈	C₂³×C₅	1	2	yes	—
721	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
722	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
723	C₂²×D₄	C₂³×C₅	1	2	yes	—
724	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
725	C₂²×D₄	C₂³×C₅	1	2	yes	—
726	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
727	C₂²×D₄	C₂³×C₅	1	2	yes	—
728	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
729	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
730	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
731	C₂³×C₄	C₂³×C₅	1	2	yes	—
732	C₂³×C₄	C₂³×C₅	1	2	yes	—
733	C₂³×C₄	C₂³×C₅	1	2	yes	—
734	C₂³×C₄	C₂³×C₅	1	2	yes	—
735	C₂³×C₄	C₂³×C₅	1	2	yes	—
736	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
737	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
738	C₄⋊Q₈	C₂³×C₅	1	8	yes	—
739	C₄⋊Q₈	C₂³×C₅	1	8	yes	—
740	C₄⋊Q₈	C₂³×C₅	1	16	yes	—
741	C₄⋊Q₈	C₂³×C₅	1	16	yes	—
742	C₄⋊Q₈	C₂³×C₅	1	8	yes	—
743	C₄⋊Q₈	C₂³×C₅	1	8	yes	—
744	C₄⋊Q₈	C₂³×C₅	1	16	yes	—
745	#126	C₂³×C₅	1	16	yes	—
746	#126	C₂³×C₅	1	8	yes	—
747	#126	C₂³×C₅	1	8	yes	—
748	#126	C₂³×C₅	1	16	yes	—
749	#126	C₂³×C₅	1	16	yes	—
750	#126	C₂³×C₅	1	16	yes	—
751	#126	C₂³×C₅	1	16	yes	—
752	#126	C₂³×C₅	1	16	yes	—
753	#126	C₂³×C₅	1	16	yes	—
754	#126	C₂³×C₅	1	16	yes	—
755	#126	C₂³×C₅	1	16	yes	—
756	#125	C₂³×C₅	1	8	yes	—
757	#125	C₂³×C₅	1	8	yes	—
758	#125	C₂³×C₅	1	8	yes	—
759	#125	C₂³×C₅	1	8	yes	—
760	#125	C₂³×C₅	1	16	yes	—
761	#125	C₂³×C₅	1	16	yes	—
762	#125	C₂³×C₅	1	16	yes	—
763	#125	C₂³×C₅	1	16	yes	—
764	#125	C₂³×C₅	1	16	yes	—
765	#125	C₂³×C₅	1	8	yes	—
766	#125	C₂³×C₅	1	16	yes	—
767	#125	C₂³×C₅	1	8	yes	—
768	#124	C₂³×C₅	1	8	yes	—
769	#124	C₂³×C₅	1	8	yes	—
770	#124	C₂³×C₅	1	16	yes	—
771	#124	C₂³×C₅	1	16	yes	—
772	#124	C₂³×C₅	1	16	yes	—
773	#124	C₂³×C₅	1	16	yes	—
774	#124	C₂³×C₅	1	16	yes	—
775	#123	C₂³×C₅	1	8	yes	—
776	#123	C₂³×C₅	1	8	yes	—
777	#123	C₂³×C₅	1	16	yes	—
778	#123	C₂³×C₅	1	16	yes	—
779	#123	C₂³×C₅	1	16	yes	—
780	#123	C₂³×C₅	1	16	yes	—
781	#123	C₂³×C₅	1	16	yes	—
782	#123	C₂³×C₅	1	16	yes	—
783	#123	C₂³×C₅	1	16	yes	—
784	C₂²⋊Q₈	C₂³×C₅	1	8	yes	—
785	C₂²⋊Q₈	C₂³×C₅	1	8	yes	—
786	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
787	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
788	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
789	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
790	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
791	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
792	C₂²⋊Q₈	C₂³×C₅	1	8	yes	—
793	C₂²⋊Q₈	C₂³×C₅	1	8	yes	—
794	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
795	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
796	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
797	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
798	C₂²⋊Q₈	C₂³×C₅	1	16	yes	—
799	#121	C₂³×C₅	1	8	yes	—
800	#121	C₂³×C₅	1	8	yes	—
801	#121	C₂³×C₅	1	16	yes	—
802	#121	C₂³×C₅	1	8	yes	—
803	#121	C₂³×C₅	1	8	yes	—
804	#121	C₂³×C₅	1	16	yes	—
805	#121	C₂³×C₅	1	16	yes	—
806	C₄×Q₈	C₂³×C₅	1	8	yes	—
807	C₄×Q₈	C₂³×C₅	1	8	yes	—
808	C₄×Q₈	C₂³×C₅	1	16	yes	—
809	C₄×Q₈	C₂³×C₅	1	16	yes	—
810	C₄×Q₈	C₂³×C₅	1	16	yes	—
811	C₄×Q₈	C₂³×C₅	1	8	yes	—
812	C₄×Q₈	C₂³×C₅	1	16	yes	—
813	C₄×Q₈	C₂³×C₅	1	8	yes	—
814	C₄×D₄	C₂³×C₅	1	16	yes	—
815	C₄×D₄	C₂³×C₅	1	8	yes	—
816	C₄×D₄	C₂³×C₅	1	8	yes	—
817	C₄×D₄	C₂³×C₅	1	8	yes	—
818	C₄×D₄	C₂³×C₅	1	8	yes	—
819	C₄×D₄	C₂³×C₅	1	16	yes	—
820	C₄×D₄	C₂³×C₅	1	16	yes	—
821	C₄×D₄	C₂³×C₅	1	8	yes	—
822	C₄×D₄	C₂³×C₅	1	8	yes	—
823	#117	C₂³×C₅	1	8	yes	—
824	#117	C₂³×C₅	1	8	yes	—
825	#117	C₂³×C₅	1	16	yes	—
826	#117	C₂³×C₅	1	8	yes	—
827	#117	C₂³×C₅	1	8	yes	—
828	#117	C₂³×C₅	1	16	yes	—
829	#117	C₂³×C₅	1	16	yes	—
830	#117	C₂³×C₅	1	16	yes	—
831	#117	C₂³×C₅	1	8	yes	—
832	#117	C₂³×C₅	1	8	yes	—
833	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
835	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
839	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
840	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
841	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
842	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
843	C₂×C₄⋊C₄	C₂³×C₅	1	16	yes	—
844	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	—
845	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	—
846	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
847	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
848	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
850	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
851	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
853	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
855	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
856	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
859	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
861	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
862	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
863	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
864	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
865	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
866	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
867	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
868	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
869	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
870	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
871	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
872	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
873	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
874	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
877	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
879	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
880	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
881	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
882	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
883	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
884	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
885	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
886	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
887	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
888	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
889	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
890	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
891	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
892	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
893	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
894	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
895	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
897	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
898	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
899	C₂×C₄²	C₂³×C₅	1	2	yes	—
900	C₂×C₄²	C₂³×C₅	1	2	yes	—
901	C₂×C₄²	C₂³×C₅	1	2	yes	—
902	C₂×C₄²	C₂³×C₅	1	2	yes	—
903	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
904	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
905	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
906	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
907	C₂×C₄²	C₂³×C₅	1	2	yes	—
908	C₂×C₄²	C₂³×C₅	1	2	yes	—
909	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
910	C₂×C₄²	C₂³×C₅	1	2	yes	—
911	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
912	C₂×C₄²	C₂³×C₅	1	8	yes	—
913	C₂²×C₅	—	2	2	no	—
914	C₂²×C₅	—	2	2	no	—
915	C₂²×C₅	—	2	2	no	—
916	C₂²×C₅	—	2	4	no	—
917	C₂²×C₅	—	2	2	no	—
918	C₂²×C₅	—	2	2	no	—
919	C₂²×C₅	—	2	4	no	—
920	C₂²×C₅	—	2	2	no	—
921	C₂²×C₅	—	2	2	no	—
922	C₂²×C₅	—	2	4	no	—
923	C₂²×C₅	—	2	2	no	—
924	C₂²×C₅	—	2	2	no	—
925	C₂²×C₅	—	4	4	no	—
926	C₂²×C₅	—	4	4	no	—
927	C₂²×C₅	—	4	4	no	—
928	C₂²×C₅	—	4	8	no	—
929	C₂²×C₅	C₂×2₋¹⁺⁴	1	2	yes	—
930	C₂²×C₅	#585	1	2	yes	—
931	C₂²×C₅	#585	1	2	yes	—
932	C₂²×C₅	C₂⁶	1	1	yes	characteristic
933	C₄×C₅	—	2	2	no	—
934	C₄×C₅	—	2	2	no	—
935	C₄×C₅	—	2	2	no	—
936	C₄×C₅	—	2	4	no	—
937	C₄×C₅	—	2	2	no	—
938	C₄×C₅	—	2	2	no	—
939	C₄×C₅	—	2	4	no	—
940	C₄×C₅	—	2	2	no	—
941	C₄×C₅	—	2	4	no	—
942	C₄×C₅	—	2	4	no	—
943	C₄×C₅	—	2	4	no	—
944	C₄×C₅	—	2	2	no	—
945	C₄×C₅	—	2	2	no	—
946	C₄×C₅	—	2	4	no	—
947	C₄×C₅	—	2	2	no	—
948	C₄×C₅	—	2	2	no	—
949	C₄×C₅	—	2	4	no	—
950	C₄×C₅	—	2	2	no	—
951	C₄×C₅	C₂×2₋¹⁺⁴	1	4	yes	—
952	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
953	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
954	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
955	C₂⁴	C₂⁴×C₅	1	2	yes	—
956	C₂×Q₈	—	2	4	no	—
957	C₂×Q₈	—	4	2	no	—
958	C₂×Q₈	—	4	4	no	—
959	C₂×Q₈	—	4	4	no	—
960	C₂×Q₈	—	4	4	no	—
961	C₂×Q₈	—	4	4	no	—
962	C₂×Q₈	C₂⁴×C₅	1	4	yes	—
963	C₂×Q₈	C₂⁴×C₅	1	4	yes	—
964	C₂×Q₈	C₂⁴×C₅	1	8	yes	—
965	C₂×Q₈	C₂⁴×C₅	1	8	yes	—
966	C₂×Q₈	C₂⁴×C₅	1	8	yes	—
967	C₂×Q₈	C₂⁴×C₅	1	8	yes	—
968	C₂×D₄	—	2	4	no	—
969	C₂×D₄	—	4	2	no	—
970	C₂×D₄	—	4	2	no	—
971	C₂×D₄	—	4	4	no	—
972	C₂×D₄	—	4	4	no	—
973	C₂×D₄	—	4	2	no	—
974	C₂×D₄	—	4	4	no	—
975	C₂×D₄	C₂⁴×C₅	1	4	yes	—
976	C₂×D₄	C₂⁴×C₅	1	4	yes	—
977	C₂×D₄	C₂⁴×C₅	1	8	yes	—
978	C₂×D₄	C₂⁴×C₅	1	4	yes	—
979	C₂×D₄	C₂⁴×C₅	1	8	yes	—
980	C₂×D₄	C₂⁴×C₅	1	4	yes	—
981	C₂×D₄	C₂⁴×C₅	1	8	yes	—
982	C₂²×C₄	—	2	4	no	—
983	C₂²×C₄	—	2	4	no	—
984	C₂²×C₄	—	2	4	no	—
985	C₂²×C₄	—	4	4	no	—
986	C₂²×C₄	—	4	2	no	—
987	C₂²×C₄	—	4	4	no	—
988	C₂²×C₄	—	4	4	no	—
989	C₂²×C₄	—	4	4	no	—
990	C₂²×C₄	—	4	4	no	—
991	C₂²×C₄	—	4	2	no	—
992	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
993	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
994	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
995	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
996	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
997	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
998	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
999	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1000	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
1001	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1002	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1003	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
1004	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
1005	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1006	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
1007	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
1008	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1009	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
1010	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1011	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
1012	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
1013	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
1014	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
1015	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
1016	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
1017	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
1018	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
1019	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
1020	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1021	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1022	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1023	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1024	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1025	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1026	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1027	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1028	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1029	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1030	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1031	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1032	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1033	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1034	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1035	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1036	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1037	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1038	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1039	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1040	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1041	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1042	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1043	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1044	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1045	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1046	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1047	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1048	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1049	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
1050	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1051	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1052	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1053	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1054	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1055	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1056	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1057	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1058	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
1059	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1060	C₂²⋊C₄	C₂⁴×C₅	1	4	yes	—
1061	C₂²⋊C₄	C₂⁴×C₅	1	4	yes	—
1062	C₂²⋊C₄	C₂⁴×C₅	1	4	yes	—
1063	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1064	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1065	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1066	C₂²⋊C₄	C₂⁴×C₅	1	4	yes	—
1067	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1068	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1069	C₂²⋊C₄	C₂⁴×C₅	1	4	yes	—
1070	C₂²⋊C₄	C₂⁴×C₅	1	4	yes	—
1071	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1072	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1073	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1074	C₂²⋊C₄	C₂⁴×C₅	1	4	yes	—
1075	C₂²⋊C₄	C₂⁴×C₅	1	4	yes	—
1076	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1077	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1078	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1079	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1080	C₂²⋊C₄	C₂⁴×C₅	1	4	yes	—
1081	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1082	C₂²⋊C₄	C₂⁴×C₅	1	8	yes	—
1083	C₂²⋊C₄	C₂⁴×C₅	1	4	yes	—
1084	C₄²	C₂⁴×C₅	1	4	yes	—
1085	C₄²	C₂⁴×C₅	1	4	yes	—
1086	C₄²	C₂⁴×C₅	1	4	yes	—
1087	C₄²	C₂⁴×C₅	1	4	yes	—
1088	C₄²	C₂⁴×C₅	1	8	yes	—
1089	C₄²	C₂⁴×C₅	1	8	yes	—
1090	C₄²	C₂⁴×C₅	1	8	yes	—
1091	C₄²	C₂⁴×C₅	1	8	yes	—
1092	C₄²	C₂⁴×C₅	1	4	yes	—
1093	C₄²	C₂⁴×C₅	1	4	yes	—
1094	C₄²	C₂⁴×C₅	1	8	yes	—
1095	C₄²	C₂⁴×C₅	1	8	yes	—
1096	C₄²	C₂⁴×C₅	1	8	yes	—
1097	C₂×C₅	—	4	2	no	—
1098	C₂×C₅	—	4	2	no	—
1099	C₂×C₅	—	4	2	no	—
1100	C₂×C₅	—	4	4	no	—
1101	C₂×C₅	#3565	1	4	yes	direct product factor
1102	C₂×C₅	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1103	C₂×C₅	C₂×#585	1	1	yes	characteristic
1104	C₂×C₅	C₂×#585	1	1	yes	characteristic
1105	C₂³	—	2	2	no	—
1106	C₂³	—	2	2	no	—
1107	C₂³	—	2	2	no	—
1108	C₂³	—	2	4	no	—
1109	C₂³	—	2	2	no	—
1110	C₂³	—	2	2	no	—
1111	C₂³	—	2	4	no	—
1112	C₂³	—	2	2	no	—
1113	C₂³	—	2	2	no	—
1114	C₂³	—	2	4	no	—
1115	C₂³	—	2	2	no	—
1116	C₂³	—	2	2	no	—
1117	C₂³	C₂⁵×C₅	1	2	yes	—
1118	C₂³	C₂⁵×C₅	1	2	yes	—
1119	C₂³	C₂⁵×C₅	1	2	yes	—
1120	C₂³	C₂⁵×C₅	1	4	yes	—
1121	C₂³	C₂⁵×C₅	1	1	yes	characteristic
1122	Q₈	—	2	8	no	—
1123	Q₈	—	4	4	no	—
1124	Q₈	—	4	8	no	—
1125	Q₈	—	4	8	no	—
1126	Q₈	—	4	8	no	—
1127	Q₈	—	4	8	no	—
1128	D₄	—	2	8	no	—
1129	D₄	—	4	4	no	—
1130	D₄	—	4	4	no	—
1131	D₄	—	4	8	no	—
1132	D₄	—	4	8	no	—
1133	D₄	—	4	4	no	—
1134	D₄	—	4	8	no	—
1135	C₂×C₄	—	2	2	no	—
1136	C₂×C₄	—	2	2	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	4	no	—
1139	C₂×C₄	—	2	2	no	—
1140	C₂×C₄	—	2	2	no	—
1141	C₂×C₄	—	2	4	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	4	no	—
1144	C₂×C₄	—	2	4	no	—
1145	C₂×C₄	—	2	4	no	—
1146	C₂×C₄	—	2	2	no	—
1147	C₂×C₄	—	2	2	no	—
1148	C₂×C₄	—	2	4	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	4	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	8	no	—
1154	C₂×C₄	—	2	8	no	—
1155	C₂×C₄	—	2	8	no	—
1156	C₂×C₄	—	4	8	no	—
1157	C₂×C₄	—	4	4	no	—
1158	C₂×C₄	—	4	8	no	—
1159	C₂×C₄	—	4	8	no	—
1160	C₂×C₄	—	4	8	no	—
1161	C₂×C₄	—	4	8	no	—
1162	C₂×C₄	—	4	4	no	—
1163	C₂×C₄	C₅×2₋¹⁺⁴	1	4	yes	—
1164	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1165	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1166	C₂×C₄	C₂⁵×C₅	1	4	yes	—
1167	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1168	C₂×C₄	C₂⁵×C₅	1	4	yes	—
1169	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1170	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1171	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1172	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1173	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1174	C₂×C₄	C₂⁵×C₅	1	4	yes	—
1175	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1176	C₂×C₄	C₂⁵×C₅	1	4	yes	—
1177	C₂×C₄	C₂⁵×C₅	1	4	yes	—
1178	C₂×C₄	C₂⁵×C₅	1	4	yes	—
1179	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1180	C₂×C₄	C₂⁵×C₅	1	4	yes	—
1181	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1182	C₂×C₄	C₂⁵×C₅	1	2	yes	—
1183	C₅	C₂×#3565	1	1	yes	characteristic, direct product factor, Sylow
1184	C₂²	—	2	2	no	—
1185	C₂²	—	2	2	no	—
1186	C₂²	—	2	2	no	—
1187	C₂²	—	2	4	no	—
1188	C₂²	—	2	2	no	—
1189	C₂²	—	2	2	no	—
1190	C₂²	—	2	4	no	—
1191	C₂²	—	2	2	no	—
1192	C₂²	—	2	2	no	—
1193	C₂²	—	2	4	no	—
1194	C₂²	—	2	2	no	—
1195	C₂²	—	2	2	no	—
1196	C₂²	—	4	4	no	—
1197	C₂²	—	4	4	no	—
1198	C₂²	—	4	4	no	—
1199	C₂²	—	4	8	no	—
1200	C₂²	C₂×C₅×2₋¹⁺⁴	1	2	yes	—
1201	C₂²	C₅×#585	1	2	yes	—
1202	C₂²	C₅×#585	1	2	yes	—
1203	C₂²	C₂⁶×C₅	1	1	yes	characteristic
1204	C₄	—	2	2	no	—
1205	C₄	—	2	2	no	—
1206	C₄	—	2	2	no	—
1207	C₄	—	2	4	no	—
1208	C₄	—	2	2	no	—
1209	C₄	—	2	2	no	—
1210	C₄	—	2	4	no	—
1211	C₄	—	2	2	no	—
1212	C₄	—	2	4	no	—
1213	C₄	—	2	4	no	—
1214	C₄	—	2	4	no	—
1215	C₄	—	2	2	no	—
1216	C₄	—	2	2	no	—
1217	C₄	—	2	4	no	—
1218	C₄	—	2	2	no	—
1219	C₄	—	2	2	no	—
1220	C₄	—	2	4	no	—
1221	C₄	—	2	2	no	—
1222	C₄	C₂×C₅×2₋¹⁺⁴	1	4	yes	—
1223	C₂	—	4	2	no	—
1224	C₂	—	4	2	no	—
1225	C₂	—	4	2	no	—
1226	C₂	—	4	4	no	—
1227	C₂	C₅×#3565	1	4	yes	direct product factor
1228	C₂	C₂²×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1229	C₂	C₂×C₅×#585	1	1	yes	characteristic
1230	C₂	C₂×C₅×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₅
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅×#3565	C₂	direct (N × H)
2. C₂×C₅×#563	C₂	semidirect
3. C₂×C₅×#562	C₂	semidirect
4. C₂×C₅×#557	C₂	semidirect
5. C₂×C₅×#556	C₂	semidirect
6. C₂×C₅×#556	C₂	semidirect
7. C₂×C₅×#555	C₂	semidirect
8. C₂×C₅×#554	C₂	semidirect
9. C₂×C₅×#553	C₂	semidirect
10. C₂×C₅×#553	C₂	semidirect
11. C₂×C₅×#552	C₂	semidirect
12. C₂×C₅×#552	C₂	semidirect
13. C₂×C₅×#552	C₂	semidirect
14. C₂×C₅×#544	C₂	semidirect
15. C₂×C₅×#544	C₂	semidirect
16. C₂×C₅×#542	C₂	semidirect
17. C₂×C₅×#542	C₂	semidirect
18. C₂×C₅×#542	C₂	semidirect
19. C₂×C₅×#542	C₂	semidirect
20. C₂×C₅×#541	C₂	semidirect
21. C₂×C₅×#539	C₂	semidirect
22. C₂×C₅×#533	C₂	semidirect
23. C₂×C₅×#529	C₂	semidirect
24. C₂×C₅×#529	C₂	semidirect
25. C₅×#563	C₂²	semidirect
26. C₅×#562	C₂²	semidirect
27. C₅×#557	C₂²	semidirect
28. C₅×#556	C₂²	semidirect
29. C₅×#556	C₂²	semidirect
30. C₅×#555	C₂²	semidirect
31. C₅×#554	C₂²	semidirect
32. C₅×#553	C₂²	semidirect
33. C₅×#553	C₂²	semidirect
34. C₅×#552	C₂²	semidirect
35. C₅×#552	C₂²	semidirect
36. C₅×#552	C₂²	semidirect
37. C₅×#544	C₂²	semidirect
38. C₅×#544	C₂²	semidirect
39. C₅×#542	C₂²	semidirect
40. C₅×#542	C₂²	semidirect
41. C₅×#542	C₂²	semidirect
42. C₅×#542	C₂²	semidirect
43. C₅×#541	C₂²	semidirect
44. C₅×#539	C₂²	semidirect
45. C₅×#533	C₂²	semidirect
53. C₅×#529	C₂²	semidirect
54. C₅×#529	C₂²	semidirect
147. C₂×#3565	C₅	direct (N × H)
346. #3565	C₂×C₅	direct (N × H)
347. C₂×#563	C₂×C₅	semidirect
348. C₂×#562	C₂×C₅	semidirect
349. C₂×#557	C₂×C₅	semidirect
350. C₂×#556	C₂×C₅	semidirect
351. C₂×#556	C₂×C₅	semidirect
352. C₂×#555	C₂×C₅	semidirect
353. C₂×#554	C₂×C₅	semidirect
354. C₂×#553	C₂×C₅	semidirect
355. C₂×#553	C₂×C₅	semidirect
356. C₂×#552	C₂×C₅	semidirect
357. C₂×#552	C₂×C₅	semidirect
358. C₂×#552	C₂×C₅	semidirect
359. C₂×#544	C₂×C₅	semidirect
360. C₂×#544	C₂×C₅	semidirect
361. C₂×#542	C₂×C₅	semidirect
362. C₂×#542	C₂×C₅	semidirect
363. C₂×#542	C₂×C₅	semidirect
364. C₂×#542	C₂×C₅	semidirect
365. C₂×#541	C₂×C₅	semidirect
366. C₂×#539	C₂×C₅	semidirect
367. C₂×#533	C₂×C₅	semidirect
368. C₂×#529	C₂×C₅	semidirect
369. C₂×#529	C₂×C₅	semidirect
515. #563	C₂²×C₅	semidirect
516. #562	C₂²×C₅	semidirect
517. #557	C₂²×C₅	semidirect
518. #556	C₂²×C₅	semidirect
519. #556	C₂²×C₅	semidirect
520. #555	C₂²×C₅	semidirect
521. #554	C₂²×C₅	semidirect
522. #553	C₂²×C₅	semidirect
523. #553	C₂²×C₅	semidirect
524. #552	C₂²×C₅	semidirect
525. #552	C₂²×C₅	semidirect
526. #552	C₂²×C₅	semidirect
527. #544	C₂²×C₅	semidirect
528. #544	C₂²×C₅	semidirect
529. #542	C₂²×C₅	semidirect
530. #542	C₂²×C₅	semidirect
531. #542	C₂²×C₅	semidirect
532. #542	C₂²×C₅	semidirect
533. #541	C₂²×C₅	semidirect
534. #539	C₂²×C₅	semidirect
535. #533	C₂²×C₅	semidirect
543. #529	C₂²×C₅	semidirect
544. #529	C₂²×C₅	semidirect
1101. C₂×C₅	#3565	direct (N × H)
1183. C₅	C₂×#3565	direct (N × H)
1227. C₂	C₅×#3565	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅×#3565	2
C₂×C₅×#563	2
C₂×C₅×#562	2
C₂×C₅×#557	2
C₂×C₅×#556	2
C₂×C₅×#555	2
C₂×C₅×#554	2
C₂×C₅×#553	2
C₂×C₅×#552	2
C₂×C₅×#544	2
C₂×C₅×#542	2
C₂×C₅×#541	2
C₂×C₅×#539	2
C₂×C₅×#533	2
C₂×C₅×#529	2
C₂×#3565	5

Subgroups — C2×C5×#3565 #11985461

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#3565 #11985461