Subgroups — C₃×C₅×#3565 #14276599

Order 1920.

1860 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	C₃×C₅×#563	C₂	1	2	yes	maximal, complemented
2	C₃×C₅×#562	C₂	1	2	yes	maximal, complemented
3	C₃×C₅×#557	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₅×#556	C₂	1	2	yes	maximal, complemented
5	C₃×C₅×#556	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×C₅×#555	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×C₅×#554	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×C₅×#553	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×C₅×#553	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×C₅×#552	C₂	1	2	yes	maximal, complemented
11	C₃×C₅×#552	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×C₅×#552	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×C₅×#544	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×C₅×#544	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₅×#542	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×C₅×#542	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×C₅×#542	C₂	1	2	yes	maximal, complemented
18	C₃×C₅×#542	C₂	1	2	yes	maximal, complemented
19	C₃×C₅×#541	C₂	1	2	yes	maximal, complemented
20	C₃×C₅×#539	C₂	1	2	yes	maximal, complemented
21	C₃×C₅×#533	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅×#3565	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
25	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
27	C₃×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
28	C₃×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
29	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
30	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
31	C₃×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
32	C₃×C₅×#126	C₂²	1	2	yes	—
33	C₃×C₅×#126	C₂²	1	1	yes	characteristic
34	C₃×C₅×#126	C₂²	1	1	yes	characteristic
35	C₃×C₅×#126	C₂²	1	2	yes	—
36	C₃×C₅×#126	C₂²	1	2	yes	—
37	C₃×C₅×#126	C₂²	1	2	yes	—
38	C₃×C₅×#126	C₂²	1	2	yes	—
39	C₃×C₅×#126	C₂²	1	2	yes	—
40	C₃×C₅×#126	C₂²	1	2	yes	—
41	C₃×C₅×#126	C₂²	1	2	yes	—
42	C₃×C₅×#126	C₂²	1	2	yes	—
43	C₃×C₅×#125	C₂²	1	1	yes	characteristic
44	C₃×C₅×#125	C₂²	1	1	yes	characteristic
45	C₃×C₅×#125	C₂²	1	1	yes	characteristic
46	C₃×C₅×#125	C₂²	1	1	yes	characteristic
47	C₃×C₅×#125	C₂²	1	2	yes	—
48	C₃×C₅×#125	C₂²	1	2	yes	—
49	C₃×C₅×#125	C₂²	1	2	yes	—
50	C₃×C₅×#125	C₂²	1	2	yes	—
51	C₃×C₅×#125	C₂²	1	2	yes	—
52	C₃×C₅×#125	C₂²	1	1	yes	characteristic
53	C₃×C₅×#125	C₂²	1	2	yes	—
54	C₃×C₅×#125	C₂²	1	1	yes	characteristic
55	C₃×C₅×#124	C₂²	1	1	yes	characteristic
56	C₃×C₅×#124	C₂²	1	1	yes	characteristic
57	C₃×C₅×#124	C₂²	1	2	yes	—
58	C₃×C₅×#124	C₂²	1	2	yes	—
59	C₃×C₅×#124	C₂²	1	2	yes	—
60	C₃×C₅×#124	C₂²	1	2	yes	—
61	C₃×C₅×#124	C₂²	1	2	yes	—
62	C₃×C₅×#123	C₂²	1	1	yes	characteristic
63	C₃×C₅×#123	C₂²	1	1	yes	characteristic
64	C₃×C₅×#123	C₂²	1	2	yes	—
65	C₃×C₅×#123	C₂²	1	2	yes	—
66	C₃×C₅×#123	C₂²	1	2	yes	—
67	C₃×C₅×#123	C₂²	1	2	yes	—
68	C₃×C₅×#123	C₂²	1	2	yes	—
69	C₃×C₅×#123	C₂²	1	2	yes	—
70	C₃×C₅×#123	C₂²	1	2	yes	—
71	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
72	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
73	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
74	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
75	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
76	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
77	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
78	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
79	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
80	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
81	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
82	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
83	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
84	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
85	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
86	C₃×C₅×#121	C₂²	1	1	yes	characteristic
87	C₃×C₅×#121	C₂²	1	1	yes	characteristic
88	C₃×C₅×#121	C₂²	1	2	yes	—
89	C₃×C₅×#121	C₂²	1	1	yes	characteristic
90	C₃×C₅×#121	C₂²	1	1	yes	characteristic
91	C₃×C₅×#121	C₂²	1	2	yes	—
92	C₃×C₅×#121	C₂²	1	2	yes	—
93	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
94	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
95	C₃×C₄×C₅×Q₈	C₂²	1	2	yes	—
96	C₃×C₄×C₅×Q₈	C₂²	1	2	yes	—
97	C₃×C₄×C₅×Q₈	C₂²	1	2	yes	—
98	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
99	C₃×C₄×C₅×Q₈	C₂²	1	2	yes	—
100	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
101	C₃×C₄×C₅×D₄	C₂²	1	2	yes	—
102	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
103	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
104	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
105	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
106	C₃×C₄×C₅×D₄	C₂²	1	2	yes	—
107	C₃×C₄×C₅×D₄	C₂²	1	2	yes	—
108	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
109	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
110	C₃×C₅×#117	C₂²	1	1	yes	characteristic
111	C₃×C₅×#117	C₂²	1	1	yes	characteristic
112	C₃×C₅×#117	C₂²	1	2	yes	—
113	C₃×C₅×#117	C₂²	1	1	yes	characteristic
114	C₃×C₅×#117	C₂²	1	1	yes	characteristic
115	C₃×C₅×#117	C₂²	1	2	yes	—
116	C₃×C₅×#117	C₂²	1	2	yes	—
117	C₃×C₅×#117	C₂²	1	2	yes	—
118	C₃×C₅×#117	C₂²	1	1	yes	characteristic
119	C₃×C₅×#117	C₂²	1	1	yes	characteristic
120	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	2	yes	—
121	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
122	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
123	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
124	C₃×#3565	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
125	C₅×#563	C₂×C₃	1	2	yes	complemented
126	C₅×#562	C₂×C₃	1	2	yes	complemented
127	C₅×#557	C₂×C₃	1	1	yes	characteristic, complemented
128	C₅×#556	C₂×C₃	1	2	yes	complemented
129	C₅×#556	C₂×C₃	1	1	yes	characteristic, complemented
130	C₅×#555	C₂×C₃	1	1	yes	characteristic, complemented
131	C₅×#554	C₂×C₃	1	1	yes	characteristic, complemented
132	C₅×#553	C₂×C₃	1	1	yes	characteristic, complemented
133	C₅×#553	C₂×C₃	1	1	yes	characteristic, complemented
134	C₅×#552	C₂×C₃	1	2	yes	complemented
135	C₅×#552	C₂×C₃	1	1	yes	characteristic, complemented
136	C₅×#552	C₂×C₃	1	1	yes	characteristic, complemented
137	C₅×#544	C₂×C₃	1	1	yes	characteristic, complemented
138	C₅×#544	C₂×C₃	1	1	yes	characteristic, complemented
139	C₅×#542	C₂×C₃	1	1	yes	characteristic, complemented
140	C₅×#542	C₂×C₃	1	1	yes	characteristic, complemented
141	C₅×#542	C₂×C₃	1	2	yes	complemented
142	C₅×#542	C₂×C₃	1	2	yes	complemented
143	C₅×#541	C₂×C₃	1	2	yes	complemented
144	C₅×#539	C₂×C₃	1	2	yes	complemented
145	C₅×#533	C₂×C₃	1	1	yes	characteristic, complemented
146	C₅×#529	C₂×C₃	1	1	yes	characteristic, complemented
147	C₅×#529	C₂×C₃	1	1	yes	characteristic, complemented
148	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
149	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
150	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
151	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
152	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
153	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
154	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
155	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
156	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
157	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
158	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
159	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
160	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
161	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
162	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
163	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
164	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
165	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
166	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
167	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
168	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
169	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
170	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
171	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
172	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
173	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
174	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
175	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
176	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
177	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
178	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
179	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
180	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
181	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
182	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
183	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
184	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
185	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
186	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
187	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
188	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
189	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
190	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
191	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
194	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
196	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
197	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
201	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
202	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
203	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
204	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
205	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
206	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
207	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
208	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
209	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
233	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
235	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
236	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
237	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
238	C₃×C₄²×C₅	C₂³	1	2	yes	—
239	C₃×C₄²×C₅	C₂³	1	2	yes	—
240	C₃×C₄²×C₅	C₂³	1	2	yes	—
241	C₃×C₄²×C₅	C₂³	1	2	yes	—
242	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
243	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
244	C₃×C₄²×C₅	C₂³	1	2	yes	—
245	C₃×C₄²×C₅	C₂³	1	2	yes	—
246	C₃×C₄²×C₅	C₂³	1	2	yes	—
247	C₃×#563	C₂×C₅	1	2	yes	complemented
248	C₃×#562	C₂×C₅	1	2	yes	complemented
249	C₃×#557	C₂×C₅	1	1	yes	characteristic, complemented
250	C₃×#556	C₂×C₅	1	2	yes	complemented
251	C₃×#556	C₂×C₅	1	1	yes	characteristic, complemented
252	C₃×#555	C₂×C₅	1	1	yes	characteristic, complemented
253	C₃×#554	C₂×C₅	1	1	yes	characteristic, complemented
254	C₃×#553	C₂×C₅	1	1	yes	characteristic, complemented
255	C₃×#553	C₂×C₅	1	1	yes	characteristic, complemented
256	C₃×#552	C₂×C₅	1	2	yes	complemented
257	C₃×#552	C₂×C₅	1	1	yes	characteristic, complemented
258	C₃×#552	C₂×C₅	1	1	yes	characteristic, complemented
259	C₃×#544	C₂×C₅	1	1	yes	characteristic, complemented
260	C₃×#544	C₂×C₅	1	1	yes	characteristic, complemented
261	C₃×#542	C₂×C₅	1	1	yes	characteristic, complemented
262	C₃×#542	C₂×C₅	1	1	yes	characteristic, complemented
263	C₃×#542	C₂×C₅	1	2	yes	complemented
264	C₃×#542	C₂×C₅	1	2	yes	complemented
265	C₃×#541	C₂×C₅	1	2	yes	complemented
266	C₃×#539	C₂×C₅	1	2	yes	complemented
267	C₃×#533	C₂×C₅	1	1	yes	characteristic, complemented
268	C₃×#529	C₂×C₅	1	1	yes	characteristic, complemented
269	C₃×#529	C₂×C₅	1	1	yes	characteristic, complemented
270	C₅×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
271	C₅×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
272	C₅×C₄⋊Q₈	C₂²×C₃	1	2	yes	—
273	C₅×C₄⋊Q₈	C₂²×C₃	1	2	yes	—
274	C₅×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
275	C₅×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
276	C₅×C₄⋊Q₈	C₂²×C₃	1	2	yes	—
277	C₅×#126	C₂²×C₃	1	2	yes	—
278	C₅×#126	C₂²×C₃	1	1	yes	characteristic
279	C₅×#126	C₂²×C₃	1	1	yes	characteristic
280	C₅×#126	C₂²×C₃	1	2	yes	—
281	C₅×#126	C₂²×C₃	1	2	yes	—
282	C₅×#126	C₂²×C₃	1	2	yes	—
283	C₅×#126	C₂²×C₃	1	2	yes	—
284	C₅×#126	C₂²×C₃	1	2	yes	—
285	C₅×#126	C₂²×C₃	1	2	yes	—
286	C₅×#126	C₂²×C₃	1	2	yes	—
287	C₅×#126	C₂²×C₃	1	2	yes	—
288	C₅×#125	C₂²×C₃	1	1	yes	characteristic
289	C₅×#125	C₂²×C₃	1	1	yes	characteristic
290	C₅×#125	C₂²×C₃	1	1	yes	characteristic
291	C₅×#125	C₂²×C₃	1	1	yes	characteristic
292	C₅×#125	C₂²×C₃	1	2	yes	—
293	C₅×#125	C₂²×C₃	1	2	yes	—
294	C₅×#125	C₂²×C₃	1	2	yes	—
295	C₅×#125	C₂²×C₃	1	2	yes	—
296	C₅×#125	C₂²×C₃	1	2	yes	—
297	C₅×#125	C₂²×C₃	1	1	yes	characteristic
298	C₅×#125	C₂²×C₃	1	2	yes	—
299	C₅×#125	C₂²×C₃	1	1	yes	characteristic
300	C₅×#124	C₂²×C₃	1	1	yes	characteristic
301	C₅×#124	C₂²×C₃	1	1	yes	characteristic
302	C₅×#124	C₂²×C₃	1	2	yes	—
303	C₅×#124	C₂²×C₃	1	2	yes	—
304	C₅×#124	C₂²×C₃	1	2	yes	—
305	C₅×#124	C₂²×C₃	1	2	yes	—
306	C₅×#124	C₂²×C₃	1	2	yes	—
307	C₅×#123	C₂²×C₃	1	1	yes	characteristic
308	C₅×#123	C₂²×C₃	1	1	yes	characteristic
309	C₅×#123	C₂²×C₃	1	2	yes	—
310	C₅×#123	C₂²×C₃	1	2	yes	—
311	C₅×#123	C₂²×C₃	1	2	yes	—
312	C₅×#123	C₂²×C₃	1	2	yes	—
313	C₅×#123	C₂²×C₃	1	2	yes	—
314	C₅×#123	C₂²×C₃	1	2	yes	—
315	C₅×#123	C₂²×C₃	1	2	yes	—
316	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
317	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
318	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
319	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
320	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
321	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
322	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
323	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
324	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
325	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
326	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
327	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
328	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
329	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
330	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
331	C₅×#121	C₂²×C₃	1	1	yes	characteristic
332	C₅×#121	C₂²×C₃	1	1	yes	characteristic
333	C₅×#121	C₂²×C₃	1	2	yes	—
334	C₅×#121	C₂²×C₃	1	1	yes	characteristic
335	C₅×#121	C₂²×C₃	1	1	yes	characteristic
336	C₅×#121	C₂²×C₃	1	2	yes	—
337	C₅×#121	C₂²×C₃	1	2	yes	—
338	C₄×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic
339	C₄×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic
340	C₄×C₅×Q₈	C₂²×C₃	1	2	yes	—
341	C₄×C₅×Q₈	C₂²×C₃	1	2	yes	—
342	C₄×C₅×Q₈	C₂²×C₃	1	2	yes	—
343	C₄×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic
344	C₄×C₅×Q₈	C₂²×C₃	1	2	yes	—
345	C₄×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic
346	C₄×C₅×D₄	C₂²×C₃	1	2	yes	—
347	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
348	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
349	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
350	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
351	C₄×C₅×D₄	C₂²×C₃	1	2	yes	—
352	C₄×C₅×D₄	C₂²×C₃	1	2	yes	—
353	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
354	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
355	C₅×#117	C₂²×C₃	1	1	yes	characteristic
356	C₅×#117	C₂²×C₃	1	1	yes	characteristic
357	C₅×#117	C₂²×C₃	1	2	yes	—
358	C₅×#117	C₂²×C₃	1	1	yes	characteristic
359	C₅×#117	C₂²×C₃	1	1	yes	characteristic
360	C₅×#117	C₂²×C₃	1	2	yes	—
361	C₅×#117	C₂²×C₃	1	2	yes	—
362	C₅×#117	C₂²×C₃	1	2	yes	—
363	C₅×#117	C₂²×C₃	1	1	yes	characteristic
364	C₅×#117	C₂²×C₃	1	1	yes	characteristic
365	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
366	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
367	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
368	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic
369	#3565	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
370	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
371	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
372	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
373	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
374	C₃×C₅×Q₈	—	2	2	no	—
375	C₃×C₅×Q₈	—	4	1	no	—
376	C₃×C₅×Q₈	—	4	2	no	—
377	C₃×C₅×Q₈	—	4	2	no	—
378	C₃×C₅×Q₈	—	4	2	no	—
379	C₃×C₅×Q₈	—	4	2	no	—
380	C₃×C₅×D₄	—	2	2	no	—
381	C₃×C₅×D₄	—	4	1	no	—
382	C₃×C₅×D₄	—	4	1	no	—
383	C₃×C₅×D₄	—	4	2	no	—
384	C₃×C₅×D₄	—	4	2	no	—
385	C₃×C₅×D₄	—	4	1	no	—
386	C₃×C₅×D₄	—	4	2	no	—
387	C₂×C₃×C₄×C₅	—	2	2	no	—
388	C₂×C₃×C₄×C₅	—	2	2	no	—
389	C₂×C₃×C₄×C₅	—	2	2	no	—
390	C₂×C₃×C₄×C₅	—	4	2	no	—
391	C₂×C₃×C₄×C₅	—	4	1	no	—
392	C₂×C₃×C₄×C₅	—	4	2	no	—
393	C₂×C₃×C₄×C₅	—	4	2	no	—
394	C₂×C₃×C₄×C₅	—	4	2	no	—
395	C₂×C₃×C₄×C₅	—	4	2	no	—
396	C₂×C₃×C₄×C₅	—	4	1	no	—
397	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
400	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
401	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
402	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
404	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
406	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
407	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
408	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
409	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
410	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
411	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
412	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
413	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
414	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
415	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
416	C₃×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
417	C₃×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
418	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
419	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
420	C₃×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
421	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
422	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
423	C₃×#126	C₂²×C₅	1	2	yes	—
424	C₃×#126	C₂²×C₅	1	2	yes	—
425	C₃×#126	C₂²×C₅	1	2	yes	—
426	C₃×#126	C₂²×C₅	1	2	yes	—
427	C₃×#126	C₂²×C₅	1	2	yes	—
428	C₃×#126	C₂²×C₅	1	1	yes	characteristic
429	C₃×#126	C₂²×C₅	1	1	yes	characteristic
430	C₃×#126	C₂²×C₅	1	2	yes	—
431	C₃×#126	C₂²×C₅	1	2	yes	—
432	C₃×#126	C₂²×C₅	1	2	yes	—
433	C₃×#126	C₂²×C₅	1	2	yes	—
434	C₃×#125	C₂²×C₅	1	2	yes	—
435	C₃×#125	C₂²×C₅	1	2	yes	—
436	C₃×#125	C₂²×C₅	1	2	yes	—
437	C₃×#125	C₂²×C₅	1	1	yes	characteristic
438	C₃×#125	C₂²×C₅	1	1	yes	characteristic
439	C₃×#125	C₂²×C₅	1	1	yes	characteristic
440	C₃×#125	C₂²×C₅	1	1	yes	characteristic
441	C₃×#125	C₂²×C₅	1	2	yes	—
442	C₃×#125	C₂²×C₅	1	2	yes	—
443	C₃×#125	C₂²×C₅	1	2	yes	—
444	C₃×#125	C₂²×C₅	1	1	yes	characteristic
445	C₃×#125	C₂²×C₅	1	1	yes	characteristic
446	C₃×#124	C₂²×C₅	1	2	yes	—
447	C₃×#124	C₂²×C₅	1	2	yes	—
448	C₃×#124	C₂²×C₅	1	2	yes	—
449	C₃×#124	C₂²×C₅	1	1	yes	characteristic
450	C₃×#124	C₂²×C₅	1	1	yes	characteristic
451	C₃×#124	C₂²×C₅	1	2	yes	—
452	C₃×#124	C₂²×C₅	1	2	yes	—
453	C₃×#123	C₂²×C₅	1	2	yes	—
454	C₃×#123	C₂²×C₅	1	2	yes	—
455	C₃×#123	C₂²×C₅	1	2	yes	—
456	C₃×#123	C₂²×C₅	1	2	yes	—
457	C₃×#123	C₂²×C₅	1	2	yes	—
458	C₃×#123	C₂²×C₅	1	1	yes	characteristic
459	C₃×#123	C₂²×C₅	1	1	yes	characteristic
460	C₃×#123	C₂²×C₅	1	2	yes	—
461	C₃×#123	C₂²×C₅	1	2	yes	—
462	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
463	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
464	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
465	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
466	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
467	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
468	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
469	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
470	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
471	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
472	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
473	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
474	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
475	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
476	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
477	C₃×#121	C₂²×C₅	1	1	yes	characteristic
478	C₃×#121	C₂²×C₅	1	2	yes	—
479	C₃×#121	C₂²×C₅	1	2	yes	—
480	C₃×#121	C₂²×C₅	1	2	yes	—
481	C₃×#121	C₂²×C₅	1	1	yes	characteristic
482	C₃×#121	C₂²×C₅	1	1	yes	characteristic
483	C₃×#121	C₂²×C₅	1	1	yes	characteristic
484	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
485	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
486	C₃×C₄×Q₈	C₂²×C₅	1	2	yes	—
487	C₃×C₄×Q₈	C₂²×C₅	1	2	yes	—
488	C₃×C₄×Q₈	C₂²×C₅	1	2	yes	—
489	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
490	C₃×C₄×Q₈	C₂²×C₅	1	2	yes	—
491	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
492	C₃×C₄×D₄	C₂²×C₅	1	2	yes	—
493	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
494	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
495	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
496	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
497	C₃×C₄×D₄	C₂²×C₅	1	2	yes	—
498	C₃×C₄×D₄	C₂²×C₅	1	2	yes	—
499	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
500	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
501	C₃×#117	C₂²×C₅	1	1	yes	characteristic
502	C₃×#117	C₂²×C₅	1	1	yes	characteristic
503	C₃×#117	C₂²×C₅	1	2	yes	—
504	C₃×#117	C₂²×C₅	1	1	yes	characteristic
505	C₃×#117	C₂²×C₅	1	1	yes	characteristic
506	C₃×#117	C₂²×C₅	1	2	yes	—
507	C₃×#117	C₂²×C₅	1	2	yes	—
508	C₃×#117	C₂²×C₅	1	2	yes	—
509	C₃×#117	C₂²×C₅	1	1	yes	characteristic
510	C₃×#117	C₂²×C₅	1	1	yes	characteristic
511	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
512	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
513	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
514	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
515	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
516	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
517	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
518	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
519	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
520	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
521	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
522	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
523	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
524	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
525	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
526	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
528	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
529	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
530	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
531	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
532	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
533	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
534	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
535	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
536	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
537	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
538	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
539	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
540	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
541	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
542	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
543	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
544	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
545	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
546	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
547	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
548	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
549	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
550	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
551	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
552	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
553	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
554	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
555	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
556	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
557	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
558	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
559	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
560	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
561	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
562	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
563	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
564	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
565	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
566	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
567	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
568	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
569	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
570	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
571	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
572	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
573	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
574	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
575	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
576	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
577	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
578	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
579	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
580	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
581	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
582	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
583	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
584	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
585	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
586	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
587	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
588	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
589	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
590	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
591	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
592	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
593	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
594	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
595	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
596	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
597	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
598	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
599	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
600	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
601	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
602	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
603	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
604	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
605	C₄²×C₅	C₂³×C₃	1	2	yes	—
606	C₄²×C₅	C₂³×C₃	1	2	yes	—
607	C₄²×C₅	C₂³×C₃	1	2	yes	—
608	C₄²×C₅	C₂³×C₃	1	2	yes	—
609	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
610	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
611	C₄²×C₅	C₂³×C₃	1	2	yes	—
612	C₄²×C₅	C₂³×C₃	1	2	yes	—
613	C₄²×C₅	C₂³×C₃	1	2	yes	—
614	#563	C₂×C₃×C₅	1	2	yes	complemented
615	#562	C₂×C₃×C₅	1	2	yes	complemented
616	#557	C₂×C₃×C₅	1	1	yes	characteristic, complemented
617	#556	C₂×C₃×C₅	1	2	yes	complemented
618	#556	C₂×C₃×C₅	1	1	yes	characteristic, complemented
619	#555	C₂×C₃×C₅	1	1	yes	characteristic, complemented
620	#554	C₂×C₃×C₅	1	1	yes	characteristic, complemented
621	#553	C₂×C₃×C₅	1	1	yes	characteristic, complemented
622	#553	C₂×C₃×C₅	1	1	yes	characteristic, complemented
623	#552	C₂×C₃×C₅	1	2	yes	complemented
624	#552	C₂×C₃×C₅	1	1	yes	characteristic, complemented
625	#552	C₂×C₃×C₅	1	1	yes	characteristic, complemented
626	#544	C₂×C₃×C₅	1	1	yes	characteristic, complemented
627	#544	C₂×C₃×C₅	1	1	yes	characteristic, complemented
628	#542	C₂×C₃×C₅	1	1	yes	characteristic, complemented
629	#542	C₂×C₃×C₅	1	1	yes	characteristic, complemented
630	#542	C₂×C₃×C₅	1	2	yes	complemented
631	#542	C₂×C₃×C₅	1	2	yes	complemented
632	#541	C₂×C₃×C₅	1	2	yes	complemented
633	#539	C₂×C₃×C₅	1	2	yes	complemented
634	#533	C₂×C₃×C₅	1	1	yes	characteristic, complemented
635	#529	C₂×C₃×C₅	1	1	yes	characteristic, complemented
636	#529	C₂×C₃×C₅	1	1	yes	characteristic, complemented
637	C₂²×C₃×C₅	—	2	1	no	—
638	C₂²×C₃×C₅	—	2	1	no	—
639	C₂²×C₃×C₅	—	2	1	no	—
640	C₂²×C₃×C₅	—	2	2	no	—
641	C₂²×C₃×C₅	—	2	1	no	—
642	C₂²×C₃×C₅	—	2	1	no	—
643	C₂²×C₃×C₅	—	2	2	no	—
644	C₂²×C₃×C₅	—	2	1	no	—
645	C₂²×C₃×C₅	—	2	1	no	—
646	C₂²×C₃×C₅	—	2	2	no	—
647	C₂²×C₃×C₅	—	2	1	no	—
648	C₂²×C₃×C₅	—	2	1	no	—
649	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
650	C₃×C₄×C₅	—	2	1	no	—
651	C₃×C₄×C₅	—	2	1	no	—
652	C₃×C₄×C₅	—	2	1	no	—
653	C₃×C₄×C₅	—	2	2	no	—
654	C₃×C₄×C₅	—	2	1	no	—
655	C₃×C₄×C₅	—	2	1	no	—
656	C₃×C₄×C₅	—	2	2	no	—
657	C₃×C₄×C₅	—	2	1	no	—
658	C₃×C₄×C₅	—	2	2	no	—
659	C₃×C₄×C₅	—	2	2	no	—
660	C₃×C₄×C₅	—	2	2	no	—
661	C₃×C₄×C₅	—	2	1	no	—
662	C₃×C₄×C₅	—	2	1	no	—
663	C₃×C₄×C₅	—	2	2	no	—
664	C₃×C₄×C₅	—	2	1	no	—
665	C₃×C₄×C₅	—	2	1	no	—
666	C₃×C₄×C₅	—	2	2	no	—
667	C₃×C₄×C₅	—	2	1	no	—
668	C₃×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
669	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
670	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
671	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
672	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
673	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
674	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
675	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
676	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
677	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
678	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
679	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
680	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
681	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
682	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
683	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
684	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
685	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
686	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
687	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
688	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
689	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
690	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
691	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
692	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
693	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
694	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
695	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
696	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
697	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
698	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
699	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
700	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
701	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
702	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
703	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
704	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
705	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
706	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
707	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
708	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
709	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
710	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
711	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
712	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
713	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
714	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
715	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
716	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
717	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
718	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
719	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
720	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
721	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
722	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
723	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
724	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
725	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
726	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
727	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
728	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
729	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
730	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
731	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
732	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
733	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
734	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
735	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
736	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
737	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
738	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
739	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
740	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
741	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
742	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
743	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
744	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
745	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
746	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
747	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
748	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
749	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
750	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
751	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
752	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
753	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
754	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
755	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
756	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
757	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
758	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
759	C₃×C₄²	C₂³×C₅	1	2	yes	—
760	C₃×C₄²	C₂³×C₅	1	2	yes	—
761	C₃×C₄²	C₂³×C₅	1	2	yes	—
762	C₃×C₄²	C₂³×C₅	1	2	yes	—
763	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
764	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
765	C₃×C₄²	C₂³×C₅	1	2	yes	—
766	C₃×C₄²	C₂³×C₅	1	2	yes	—
767	C₃×C₄²	C₂³×C₅	1	2	yes	—
768	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
769	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
770	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
771	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
772	C₅×Q₈	—	2	2	no	—
773	C₅×Q₈	—	4	1	no	—
774	C₅×Q₈	—	4	2	no	—
775	C₅×Q₈	—	4	2	no	—
776	C₅×Q₈	—	4	2	no	—
777	C₅×Q₈	—	4	2	no	—
778	C₅×D₄	—	2	2	no	—
779	C₅×D₄	—	4	1	no	—
780	C₅×D₄	—	4	1	no	—
781	C₅×D₄	—	4	2	no	—
782	C₅×D₄	—	4	2	no	—
783	C₅×D₄	—	4	1	no	—
784	C₅×D₄	—	4	2	no	—
785	C₂×C₄×C₅	—	2	2	no	—
786	C₂×C₄×C₅	—	2	2	no	—
787	C₂×C₄×C₅	—	2	2	no	—
788	C₂×C₄×C₅	—	4	2	no	—
789	C₂×C₄×C₅	—	4	1	no	—
790	C₂×C₄×C₅	—	4	2	no	—
791	C₂×C₄×C₅	—	4	2	no	—
792	C₂×C₄×C₅	—	4	2	no	—
793	C₂×C₄×C₅	—	4	2	no	—
794	C₂×C₄×C₅	—	4	1	no	—
795	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
796	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
797	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
798	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
799	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
800	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
801	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
802	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
803	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
804	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
805	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
806	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
807	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
808	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
809	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
810	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
811	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
812	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
813	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
814	C₄⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
815	C₄⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
816	C₄⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
817	C₄⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
818	C₄⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
819	C₄⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
820	C₄⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
821	#126	C₂²×C₃×C₅	1	2	yes	—
822	#126	C₂²×C₃×C₅	1	1	yes	characteristic
823	#126	C₂²×C₃×C₅	1	1	yes	characteristic
824	#126	C₂²×C₃×C₅	1	2	yes	—
825	#126	C₂²×C₃×C₅	1	2	yes	—
826	#126	C₂²×C₃×C₅	1	2	yes	—
827	#126	C₂²×C₃×C₅	1	2	yes	—
828	#126	C₂²×C₃×C₅	1	2	yes	—
829	#126	C₂²×C₃×C₅	1	2	yes	—
830	#126	C₂²×C₃×C₅	1	2	yes	—
831	#126	C₂²×C₃×C₅	1	2	yes	—
832	#125	C₂²×C₃×C₅	1	1	yes	characteristic
833	#125	C₂²×C₃×C₅	1	1	yes	characteristic
834	#125	C₂²×C₃×C₅	1	1	yes	characteristic
835	#125	C₂²×C₃×C₅	1	1	yes	characteristic
836	#125	C₂²×C₃×C₅	1	2	yes	—
837	#125	C₂²×C₃×C₅	1	2	yes	—
838	#125	C₂²×C₃×C₅	1	2	yes	—
839	#125	C₂²×C₃×C₅	1	2	yes	—
840	#125	C₂²×C₃×C₅	1	2	yes	—
841	#125	C₂²×C₃×C₅	1	1	yes	characteristic
842	#125	C₂²×C₃×C₅	1	2	yes	—
843	#125	C₂²×C₃×C₅	1	1	yes	characteristic
844	#124	C₂²×C₃×C₅	1	1	yes	characteristic
845	#124	C₂²×C₃×C₅	1	1	yes	characteristic
846	#124	C₂²×C₃×C₅	1	2	yes	—
847	#124	C₂²×C₃×C₅	1	2	yes	—
848	#124	C₂²×C₃×C₅	1	2	yes	—
849	#124	C₂²×C₃×C₅	1	2	yes	—
850	#124	C₂²×C₃×C₅	1	2	yes	—
851	#123	C₂²×C₃×C₅	1	1	yes	characteristic
852	#123	C₂²×C₃×C₅	1	1	yes	characteristic
853	#123	C₂²×C₃×C₅	1	2	yes	—
854	#123	C₂²×C₃×C₅	1	2	yes	—
855	#123	C₂²×C₃×C₅	1	2	yes	—
856	#123	C₂²×C₃×C₅	1	2	yes	—
857	#123	C₂²×C₃×C₅	1	2	yes	—
858	#123	C₂²×C₃×C₅	1	2	yes	—
859	#123	C₂²×C₃×C₅	1	2	yes	—
860	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
861	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
862	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
863	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
864	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
865	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
866	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
867	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
868	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
869	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
870	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
871	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
872	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
873	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
874	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
875	#121	C₂²×C₃×C₅	1	1	yes	characteristic
876	#121	C₂²×C₃×C₅	1	1	yes	characteristic
877	#121	C₂²×C₃×C₅	1	2	yes	—
878	#121	C₂²×C₃×C₅	1	1	yes	characteristic
879	#121	C₂²×C₃×C₅	1	1	yes	characteristic
880	#121	C₂²×C₃×C₅	1	2	yes	—
881	#121	C₂²×C₃×C₅	1	2	yes	—
882	C₄×Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
883	C₄×Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
884	C₄×Q₈	C₂²×C₃×C₅	1	2	yes	—
885	C₄×Q₈	C₂²×C₃×C₅	1	2	yes	—
886	C₄×Q₈	C₂²×C₃×C₅	1	2	yes	—
887	C₄×Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
888	C₄×Q₈	C₂²×C₃×C₅	1	2	yes	—
889	C₄×Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
890	C₄×D₄	C₂²×C₃×C₅	1	2	yes	—
891	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
892	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
893	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
894	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
895	C₄×D₄	C₂²×C₃×C₅	1	2	yes	—
896	C₄×D₄	C₂²×C₃×C₅	1	2	yes	—
897	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
898	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
899	#117	C₂²×C₃×C₅	1	1	yes	characteristic
900	#117	C₂²×C₃×C₅	1	1	yes	characteristic
901	#117	C₂²×C₃×C₅	1	2	yes	—
902	#117	C₂²×C₃×C₅	1	1	yes	characteristic
903	#117	C₂²×C₃×C₅	1	1	yes	characteristic
904	#117	C₂²×C₃×C₅	1	2	yes	—
905	#117	C₂²×C₃×C₅	1	2	yes	—
906	#117	C₂²×C₃×C₅	1	2	yes	—
907	#117	C₂²×C₃×C₅	1	1	yes	characteristic
908	#117	C₂²×C₃×C₅	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	2	yes	—
910	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
912	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic
913	C₂×C₃×C₅	—	4	1	no	—
914	C₂×C₃×C₅	—	4	1	no	—
915	C₂×C₃×C₅	—	4	1	no	—
916	C₂×C₃×C₅	—	4	2	no	—
917	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
918	C₂×C₃×C₅	#585	1	1	yes	characteristic
919	C₂×C₃×C₅	#585	1	1	yes	characteristic
920	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
921	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
922	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
923	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
924	C₃×Q₈	—	2	2	no	—
925	C₃×Q₈	—	4	1	no	—
926	C₃×Q₈	—	4	2	no	—
927	C₃×Q₈	—	4	2	no	—
928	C₃×Q₈	—	4	2	no	—
929	C₃×Q₈	—	4	2	no	—
930	C₃×D₄	—	2	2	no	—
931	C₃×D₄	—	4	1	no	—
932	C₃×D₄	—	4	1	no	—
933	C₃×D₄	—	4	2	no	—
934	C₃×D₄	—	4	2	no	—
935	C₃×D₄	—	4	1	no	—
936	C₃×D₄	—	4	2	no	—
937	C₂×C₃×C₄	—	2	2	no	—
938	C₂×C₃×C₄	—	2	2	no	—
939	C₂×C₃×C₄	—	2	2	no	—
940	C₂×C₃×C₄	—	4	2	no	—
941	C₂×C₃×C₄	—	4	1	no	—
942	C₂×C₃×C₄	—	4	2	no	—
943	C₂×C₃×C₄	—	4	2	no	—
944	C₂×C₃×C₄	—	4	2	no	—
945	C₂×C₃×C₄	—	4	2	no	—
946	C₂×C₃×C₄	—	4	1	no	—
947	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
948	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
949	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
950	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
951	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
952	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
953	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
954	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
955	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
956	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
957	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
958	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
959	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
960	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
961	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
962	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
963	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
964	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
965	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
966	C₂²×C₅	—	2	1	no	—
967	C₂²×C₅	—	2	1	no	—
968	C₂²×C₅	—	2	1	no	—
969	C₂²×C₅	—	2	2	no	—
970	C₂²×C₅	—	2	1	no	—
971	C₂²×C₅	—	2	1	no	—
972	C₂²×C₅	—	2	2	no	—
973	C₂²×C₅	—	2	1	no	—
974	C₂²×C₅	—	2	1	no	—
975	C₂²×C₅	—	2	2	no	—
976	C₂²×C₅	—	2	1	no	—
977	C₂²×C₅	—	2	1	no	—
978	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
979	C₄×C₅	—	2	1	no	—
980	C₄×C₅	—	2	1	no	—
981	C₄×C₅	—	2	1	no	—
982	C₄×C₅	—	2	2	no	—
983	C₄×C₅	—	2	1	no	—
984	C₄×C₅	—	2	1	no	—
985	C₄×C₅	—	2	2	no	—
986	C₄×C₅	—	2	1	no	—
987	C₄×C₅	—	2	2	no	—
988	C₄×C₅	—	2	2	no	—
989	C₄×C₅	—	2	2	no	—
990	C₄×C₅	—	2	1	no	—
991	C₄×C₅	—	2	1	no	—
992	C₄×C₅	—	2	2	no	—
993	C₄×C₅	—	2	1	no	—
994	C₄×C₅	—	2	1	no	—
995	C₄×C₅	—	2	2	no	—
996	C₄×C₅	—	2	1	no	—
997	C₄×C₅	C₃×2₋¹⁺⁴	1	2	yes	—
998	C₂×Q₈	C₂³×C₃×C₅	1	1	yes	characteristic
999	C₂×Q₈	C₂³×C₃×C₅	1	1	yes	characteristic
1000	C₂×Q₈	C₂³×C₃×C₅	1	2	yes	—
1001	C₂×Q₈	C₂³×C₃×C₅	1	2	yes	—
1002	C₂×Q₈	C₂³×C₃×C₅	1	2	yes	—
1003	C₂×Q₈	C₂³×C₃×C₅	1	2	yes	—
1004	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1005	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1006	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1007	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1008	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1009	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1010	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1011	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1012	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1013	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1014	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1015	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1016	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1017	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1018	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1019	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1020	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1021	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1022	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1023	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1024	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1025	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1026	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1027	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1028	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1029	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1030	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1031	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1032	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1033	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1034	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1035	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1036	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1037	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1038	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1039	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1040	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1041	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1042	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1043	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1044	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1045	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1046	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1047	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1048	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1049	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1050	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1051	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1052	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1053	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1054	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1055	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1056	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1057	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1058	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1059	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1060	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1061	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1062	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1063	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1064	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1065	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1066	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1067	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1068	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1069	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1070	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1071	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1072	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1073	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1074	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1075	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1076	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1077	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1078	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1079	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1080	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1081	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1082	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1083	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1084	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
1085	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
1086	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
1087	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
1088	C₄²	C₂³×C₃×C₅	1	2	yes	—
1089	C₄²	C₂³×C₃×C₅	1	2	yes	—
1090	C₄²	C₂³×C₃×C₅	1	2	yes	—
1091	C₄²	C₂³×C₃×C₅	1	2	yes	—
1092	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
1093	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
1094	C₄²	C₂³×C₃×C₅	1	2	yes	—
1095	C₄²	C₂³×C₃×C₅	1	2	yes	—
1096	C₄²	C₂³×C₃×C₅	1	2	yes	—
1097	C₃×C₅	#3565	1	1	yes	characteristic, direct product factor, Hall
1098	C₂²×C₃	—	2	1	no	—
1099	C₂²×C₃	—	2	1	no	—
1100	C₂²×C₃	—	2	1	no	—
1101	C₂²×C₃	—	2	2	no	—
1102	C₂²×C₃	—	2	1	no	—
1103	C₂²×C₃	—	2	1	no	—
1104	C₂²×C₃	—	2	2	no	—
1105	C₂²×C₃	—	2	1	no	—
1106	C₂²×C₃	—	2	1	no	—
1107	C₂²×C₃	—	2	2	no	—
1108	C₂²×C₃	—	2	1	no	—
1109	C₂²×C₃	—	2	1	no	—
1110	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
1111	C₃×C₄	—	2	1	no	—
1112	C₃×C₄	—	2	1	no	—
1113	C₃×C₄	—	2	1	no	—
1114	C₃×C₄	—	2	2	no	—
1115	C₃×C₄	—	2	1	no	—
1116	C₃×C₄	—	2	1	no	—
1117	C₃×C₄	—	2	2	no	—
1118	C₃×C₄	—	2	1	no	—
1119	C₃×C₄	—	2	2	no	—
1120	C₃×C₄	—	2	2	no	—
1121	C₃×C₄	—	2	2	no	—
1122	C₃×C₄	—	2	1	no	—
1123	C₃×C₄	—	2	1	no	—
1124	C₃×C₄	—	2	2	no	—
1125	C₃×C₄	—	2	1	no	—
1126	C₃×C₄	—	2	1	no	—
1127	C₃×C₄	—	2	2	no	—
1128	C₃×C₄	—	2	1	no	—
1129	C₃×C₄	C₅×2₋¹⁺⁴	1	2	yes	—
1130	C₂×C₅	—	4	1	no	—
1131	C₂×C₅	—	4	1	no	—
1132	C₂×C₅	—	4	1	no	—
1133	C₂×C₅	—	4	2	no	—
1134	C₂×C₅	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1135	C₂×C₅	C₃×#585	1	1	yes	characteristic
1136	C₂×C₅	C₃×#585	1	1	yes	characteristic
1137	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
1138	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
1139	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
1140	C₂³	C₂⁴×C₃×C₅	1	2	yes	—
1141	Q₈	—	2	2	no	—
1142	Q₈	—	4	1	no	—
1143	Q₈	—	4	2	no	—
1144	Q₈	—	4	2	no	—
1145	Q₈	—	4	2	no	—
1146	Q₈	—	4	2	no	—
1147	D₄	—	2	2	no	—
1148	D₄	—	4	1	no	—
1149	D₄	—	4	1	no	—
1150	D₄	—	4	2	no	—
1151	D₄	—	4	2	no	—
1152	D₄	—	4	1	no	—
1153	D₄	—	4	2	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	2	no	—
1157	C₂×C₄	—	4	2	no	—
1158	C₂×C₄	—	4	1	no	—
1159	C₂×C₄	—	4	2	no	—
1160	C₂×C₄	—	4	2	no	—
1161	C₂×C₄	—	4	2	no	—
1162	C₂×C₄	—	4	2	no	—
1163	C₂×C₄	—	4	1	no	—
1164	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1165	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1166	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1167	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1168	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1169	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1170	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1171	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1172	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1173	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1174	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1175	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1176	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1177	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1178	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1179	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1180	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1181	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1182	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1183	C₂×C₃	—	4	1	no	—
1184	C₂×C₃	—	4	1	no	—
1185	C₂×C₃	—	4	1	no	—
1186	C₂×C₃	—	4	2	no	—
1187	C₂×C₃	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1188	C₂×C₃	C₅×#585	1	1	yes	characteristic
1189	C₂×C₃	C₅×#585	1	1	yes	characteristic
1190	C₅	C₃×#3565	1	1	yes	characteristic, direct product factor, Sylow
1191	C₂²	—	2	1	no	—
1192	C₂²	—	2	1	no	—
1193	C₂²	—	2	1	no	—
1194	C₂²	—	2	2	no	—
1195	C₂²	—	2	1	no	—
1196	C₂²	—	2	1	no	—
1197	C₂²	—	2	2	no	—
1198	C₂²	—	2	1	no	—
1199	C₂²	—	2	1	no	—
1200	C₂²	—	2	2	no	—
1201	C₂²	—	2	1	no	—
1202	C₂²	—	2	1	no	—
1203	C₂²	C₂⁵×C₃×C₅	1	1	yes	characteristic
1204	C₄	—	2	1	no	—
1205	C₄	—	2	1	no	—
1206	C₄	—	2	1	no	—
1207	C₄	—	2	2	no	—
1208	C₄	—	2	1	no	—
1209	C₄	—	2	1	no	—
1210	C₄	—	2	2	no	—
1211	C₄	—	2	1	no	—
1212	C₄	—	2	2	no	—
1213	C₄	—	2	2	no	—
1214	C₄	—	2	2	no	—
1215	C₄	—	2	1	no	—
1216	C₄	—	2	1	no	—
1217	C₄	—	2	2	no	—
1218	C₄	—	2	1	no	—
1219	C₄	—	2	1	no	—
1220	C₄	—	2	2	no	—
1221	C₄	—	2	1	no	—
1222	C₄	C₃×C₅×2₋¹⁺⁴	1	2	yes	—
1223	C₃	C₅×#3565	1	1	yes	characteristic, direct product factor, Sylow
1224	C₂	—	4	1	no	—
1225	C₂	—	4	1	no	—
1226	C₂	—	4	1	no	—
1227	C₂	—	4	2	no	—
1228	C₂	C₂×C₃×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1229	C₂	C₃×C₅×#585	1	1	yes	characteristic
1230	C₂	C₃×C₅×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃×C₅	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁵×C₃×C₅
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#563	C₂	semidirect
2. C₃×C₅×#562	C₂	semidirect
3. C₃×C₅×#557	C₂	semidirect
4. C₃×C₅×#556	C₂	semidirect
5. C₃×C₅×#556	C₂	semidirect
6. C₃×C₅×#555	C₂	semidirect
7. C₃×C₅×#554	C₂	semidirect
8. C₃×C₅×#553	C₂	semidirect
9. C₃×C₅×#553	C₂	semidirect
10. C₃×C₅×#552	C₂	semidirect
11. C₃×C₅×#552	C₂	semidirect
12. C₃×C₅×#552	C₂	semidirect
13. C₃×C₅×#544	C₂	semidirect
14. C₃×C₅×#544	C₂	semidirect
15. C₃×C₅×#542	C₂	semidirect
16. C₃×C₅×#542	C₂	semidirect
17. C₃×C₅×#542	C₂	semidirect
18. C₃×C₅×#542	C₂	semidirect
19. C₃×C₅×#541	C₂	semidirect
20. C₃×C₅×#539	C₂	semidirect
21. C₃×C₅×#533	C₂	semidirect
22. C₃×C₅×#529	C₂	semidirect
23. C₃×C₅×#529	C₂	semidirect
24. C₅×#3565	C₃	direct (N × H)
124. C₃×#3565	C₅	direct (N × H)
125. C₅×#563	C₂×C₃	semidirect
126. C₅×#562	C₂×C₃	semidirect
127. C₅×#557	C₂×C₃	semidirect
128. C₅×#556	C₂×C₃	semidirect
129. C₅×#556	C₂×C₃	semidirect
130. C₅×#555	C₂×C₃	semidirect
131. C₅×#554	C₂×C₃	semidirect
132. C₅×#553	C₂×C₃	semidirect
133. C₅×#553	C₂×C₃	semidirect
134. C₅×#552	C₂×C₃	semidirect
135. C₅×#552	C₂×C₃	semidirect
136. C₅×#552	C₂×C₃	semidirect
137. C₅×#544	C₂×C₃	semidirect
138. C₅×#544	C₂×C₃	semidirect
139. C₅×#542	C₂×C₃	semidirect
140. C₅×#542	C₂×C₃	semidirect
141. C₅×#542	C₂×C₃	semidirect
142. C₅×#542	C₂×C₃	semidirect
143. C₅×#541	C₂×C₃	semidirect
144. C₅×#539	C₂×C₃	semidirect
145. C₅×#533	C₂×C₃	semidirect
146. C₅×#529	C₂×C₃	semidirect
147. C₅×#529	C₂×C₃	semidirect
247. C₃×#563	C₂×C₅	semidirect
248. C₃×#562	C₂×C₅	semidirect
249. C₃×#557	C₂×C₅	semidirect
250. C₃×#556	C₂×C₅	semidirect
251. C₃×#556	C₂×C₅	semidirect
252. C₃×#555	C₂×C₅	semidirect
253. C₃×#554	C₂×C₅	semidirect
254. C₃×#553	C₂×C₅	semidirect
255. C₃×#553	C₂×C₅	semidirect
256. C₃×#552	C₂×C₅	semidirect
257. C₃×#552	C₂×C₅	semidirect
258. C₃×#552	C₂×C₅	semidirect
259. C₃×#544	C₂×C₅	semidirect
260. C₃×#544	C₂×C₅	semidirect
261. C₃×#542	C₂×C₅	semidirect
262. C₃×#542	C₂×C₅	semidirect
263. C₃×#542	C₂×C₅	semidirect
264. C₃×#542	C₂×C₅	semidirect
265. C₃×#541	C₂×C₅	semidirect
266. C₃×#539	C₂×C₅	semidirect
267. C₃×#533	C₂×C₅	semidirect
268. C₃×#529	C₂×C₅	semidirect
269. C₃×#529	C₂×C₅	semidirect
369. #3565	C₃×C₅	direct (N × H)
614. #563	C₂×C₃×C₅	semidirect
615. #562	C₂×C₃×C₅	semidirect
616. #557	C₂×C₃×C₅	semidirect
617. #556	C₂×C₃×C₅	semidirect
618. #556	C₂×C₃×C₅	semidirect
619. #555	C₂×C₃×C₅	semidirect
620. #554	C₂×C₃×C₅	semidirect
621. #553	C₂×C₃×C₅	semidirect
622. #553	C₂×C₃×C₅	semidirect
623. #552	C₂×C₃×C₅	semidirect
624. #552	C₂×C₃×C₅	semidirect
625. #552	C₂×C₃×C₅	semidirect
626. #544	C₂×C₃×C₅	semidirect
627. #544	C₂×C₃×C₅	semidirect
628. #542	C₂×C₃×C₅	semidirect
629. #542	C₂×C₃×C₅	semidirect
630. #542	C₂×C₃×C₅	semidirect
631. #542	C₂×C₃×C₅	semidirect
632. #541	C₂×C₃×C₅	semidirect
633. #539	C₂×C₃×C₅	semidirect
634. #533	C₂×C₃×C₅	semidirect
635. #529	C₂×C₃×C₅	semidirect
636. #529	C₂×C₃×C₅	semidirect
1097. C₃×C₅	#3565	direct (N × H)
1190. C₅	C₃×#3565	direct (N × H)
1223. C₃	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
C₃×C₅×#563	2
C₃×C₅×#562	2
C₃×C₅×#557	2
C₃×C₅×#556	2
C₃×C₅×#555	2
C₃×C₅×#554	2
C₃×C₅×#553	2
C₃×C₅×#552	2
C₃×C₅×#544	2
C₃×C₅×#542	2
C₃×C₅×#541	2
C₃×C₅×#539	2
C₃×C₅×#533	2
C₃×C₅×#529	2
C₅×#3565	3
C₃×#3565	5

Subgroups — C3×C5×#3565 #14276599

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#3565 #14276599