Subgroups — C₃×C₅×#3542 #14276576

Order 1920.

2320 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#562	C₂	1	2	yes	maximal, complemented
2	C₃×C₅×#560	C₂	1	2	yes	maximal, complemented
3	C₃×C₅×#555	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₅×#553	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×C₅×#552	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×C₅×#551	C₂	1	2	yes	maximal, complemented
7	C₃×C₅×#550	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×C₅×#547	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×C₅×#546	C₂	1	2	yes	maximal, complemented
10	C₃×C₅×#546	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×C₅×#546	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×C₅×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×C₅×#542	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×C₅×#540	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₅×#540	C₂	1	2	yes	maximal, complemented
16	C₃×C₅×#538	C₂	1	2	yes	maximal, complemented
17	C₃×C₅×#537	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×C₅×#535	C₂	1	2	yes	maximal, complemented
19	C₃×C₅×#535	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×C₅×#534	C₂	1	2	yes	maximal, complemented
21	C₃×C₅×#525	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×C₅×#525	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×C₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅×#3542	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
25	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₃×C₅×#41	C₂²	1	2	yes	complemented
28	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
30	C₂²×C₃×C₅×D₄	C₂²	1	2	yes	—
31	C₂²×C₃×C₅×D₄	C₂²	1	2	yes	complemented
32	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
33	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic, complemented
34	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₃×C₅×#127	C₂²	1	2	yes	complemented
36	C₃×C₅×#127	C₂²	1	2	yes	complemented
37	C₃×C₅×#127	C₂²	1	1	yes	characteristic, complemented
38	C₃×C₅×#126	C₂²	1	2	yes	complemented
39	C₃×C₅×#126	C₂²	1	2	yes	complemented
40	C₃×C₅×#126	C₂²	1	2	yes	complemented
41	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
42	C₃×C₅×#125	C₂²	1	2	yes	complemented
43	C₃×C₅×#124	C₂²	1	2	yes	complemented
44	C₃×C₅×#124	C₂²	1	2	yes	complemented
45	C₃×C₅×#124	C₂²	1	2	yes	complemented
46	C₃×C₅×#124	C₂²	1	2	yes	complemented
47	C₃×C₅×#124	C₂²	1	1	yes	characteristic, complemented
48	C₃×C₅×#123	C₂²	1	2	yes	—
49	C₃×C₅×#123	C₂²	1	1	yes	characteristic, complemented
50	C₃×C₅×#123	C₂²	1	1	yes	characteristic, complemented
51	C₃×C₅×#123	C₂²	1	2	yes	complemented
52	C₃×C₅×#123	C₂²	1	2	yes	complemented
53	C₃×C₅×#123	C₂²	1	2	yes	complemented
54	C₃×C₅×#123	C₂²	1	2	yes	complemented
55	C₃×C₅×#123	C₂²	1	2	yes	complemented
56	C₃×C₅×#123	C₂²	1	2	yes	complemented
57	C₃×C₅×#123	C₂²	1	2	yes	complemented
58	C₃×C₅×#123	C₂²	1	2	yes	complemented
59	C₃×C₅×#123	C₂²	1	2	yes	complemented
60	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
61	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
62	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
63	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
65	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
66	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
67	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
68	C₃×C₅×#121	C₂²	1	1	yes	characteristic
69	C₃×C₅×#121	C₂²	1	1	yes	characteristic
70	C₃×C₅×#121	C₂²	1	1	yes	characteristic
71	C₃×C₅×#121	C₂²	1	1	yes	characteristic
72	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
73	C₃×C₅×#121	C₂²	1	2	yes	complemented
74	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
75	C₃×C₅×#121	C₂²	1	2	yes	complemented
76	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
78	C₃×C₅×#121	C₂²	1	2	yes	complemented
79	C₃×C₅×#121	C₂²	1	2	yes	complemented
80	C₃×C₅×#121	C₂²	1	2	yes	complemented
81	C₃×C₅×#121	C₂²	1	2	yes	complemented
82	C₃×C₅×#121	C₂²	1	2	yes	complemented
83	C₃×C₅×#121	C₂²	1	2	yes	complemented
84	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
85	C₃×C₅×#121	C₂²	1	2	yes	complemented
86	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
87	C₃×C₅×#121	C₂²	1	2	yes	complemented
88	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
89	C₃×C₅×#121	C₂²	1	2	yes	complemented
90	C₃×C₅×#121	C₂²	1	2	yes	complemented
91	C₃×C₅×#121	C₂²	1	2	yes	complemented
92	C₃×C₅×#121	C₂²	1	2	yes	complemented
93	C₃×C₅×#120	C₂²	1	1	yes	characteristic
94	C₃×C₅×#120	C₂²	1	2	yes	—
95	C₃×C₅×#120	C₂²	1	2	yes	complemented
96	C₃×C₅×#120	C₂²	1	1	yes	characteristic, complemented
97	C₃×C₅×#120	C₂²	1	2	yes	complemented
98	C₃×C₅×#120	C₂²	1	2	yes	complemented
99	C₃×C₅×#120	C₂²	1	2	yes	complemented
100	C₃×C₅×#120	C₂²	1	2	yes	complemented
101	C₃×C₅×#120	C₂²	1	2	yes	complemented
102	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
103	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
104	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
105	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
106	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
107	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
108	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
109	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
110	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
111	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
112	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
113	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
114	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
115	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
116	C₃×C₅×#117	C₂²	1	2	yes	complemented
117	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
118	C₃×C₅×#117	C₂²	1	2	yes	complemented
119	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
121	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
123	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
124	C₃×#3542	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
125	C₅×#562	C₂×C₃	1	2	yes	complemented
126	C₅×#560	C₂×C₃	1	2	yes	complemented
127	C₅×#555	C₂×C₃	1	1	yes	characteristic, complemented
128	C₅×#553	C₂×C₃	1	1	yes	characteristic, complemented
129	C₅×#552	C₂×C₃	1	1	yes	characteristic, complemented
130	C₅×#551	C₂×C₃	1	2	yes	complemented
131	C₅×#550	C₂×C₃	1	1	yes	characteristic, complemented
132	C₅×#547	C₂×C₃	1	1	yes	characteristic, complemented
133	C₅×#546	C₂×C₃	1	2	yes	complemented
134	C₅×#546	C₂×C₃	1	1	yes	characteristic, complemented
135	C₅×#546	C₂×C₃	1	1	yes	characteristic, complemented
136	C₅×D₄²	C₂×C₃	1	1	yes	characteristic, complemented
137	C₅×#542	C₂×C₃	1	1	yes	characteristic, complemented
138	C₅×#540	C₂×C₃	1	1	yes	characteristic, complemented
139	C₅×#540	C₂×C₃	1	2	yes	complemented
140	C₅×#538	C₂×C₃	1	2	yes	complemented
141	C₅×#537	C₂×C₃	1	1	yes	characteristic, complemented
142	C₅×#535	C₂×C₃	1	2	yes	complemented
143	C₅×#535	C₂×C₃	1	1	yes	characteristic, complemented
144	C₅×#534	C₂×C₃	1	2	yes	complemented
145	C₅×#525	C₂×C₃	1	1	yes	characteristic, complemented
146	C₅×#525	C₂×C₃	1	1	yes	characteristic, complemented
147	C₂×C₅×#121	C₂×C₃	1	1	yes	characteristic, complemented
148	C₂⁴×C₃×C₅	C₂³	1	2	yes	—
149	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
150	C₂⁴×C₃×C₅	C₂³	1	2	yes	—
151	C₃×C₅×#41	—	4	2	no	—
152	C₃×C₅×#41	—	4	4	no	—
153	C₃×C₅×#41	—	4	2	no	—
154	C₃×C₅×#41	—	4	2	no	—
155	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
156	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
157	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
158	C₂×C₃×C₅×D₄	—	4	2	no	—
159	C₂×C₃×C₅×D₄	—	4	2	no	—
160	C₂×C₃×C₅×D₄	—	4	4	no	—
161	C₂×C₃×C₅×D₄	—	4	4	no	—
162	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
163	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
164	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
165	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
166	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
167	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
168	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
169	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
170	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
171	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
172	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
173	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
174	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
175	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
176	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
177	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
178	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
179	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
180	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
181	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
182	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
183	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
184	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
185	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
186	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
187	C₂²×C₃×C₄×C₅	—	4	2	no	—
188	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
189	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
190	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
191	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
192	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
193	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
194	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
195	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
196	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
197	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
198	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
199	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
200	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
201	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
202	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
203	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
209	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
212	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
213	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
215	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
218	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
219	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
220	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
222	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
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×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
235	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
238	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
242	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
244	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
245	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
246	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
248	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
249	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
250	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₃×C₄²×C₅	C₂³	1	2	yes	—
252	C₃×C₄²×C₅	C₂³	1	2	yes	—
253	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
254	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
255	C₃×C₄²×C₅	C₂³	1	2	yes	—
256	C₃×#562	C₂×C₅	1	2	yes	complemented
257	C₃×#560	C₂×C₅	1	2	yes	complemented
258	C₃×#555	C₂×C₅	1	1	yes	characteristic, complemented
259	C₃×#553	C₂×C₅	1	1	yes	characteristic, complemented
260	C₃×#552	C₂×C₅	1	1	yes	characteristic, complemented
261	C₃×#551	C₂×C₅	1	2	yes	complemented
262	C₃×#550	C₂×C₅	1	1	yes	characteristic, complemented
263	C₃×#547	C₂×C₅	1	1	yes	characteristic, complemented
264	C₃×#546	C₂×C₅	1	2	yes	complemented
265	C₃×#546	C₂×C₅	1	1	yes	characteristic, complemented
266	C₃×#546	C₂×C₅	1	1	yes	characteristic, complemented
267	C₃×D₄²	C₂×C₅	1	1	yes	characteristic, complemented
268	C₃×#542	C₂×C₅	1	1	yes	characteristic, complemented
269	C₃×#540	C₂×C₅	1	1	yes	characteristic, complemented
270	C₃×#540	C₂×C₅	1	2	yes	complemented
271	C₃×#538	C₂×C₅	1	2	yes	complemented
272	C₃×#537	C₂×C₅	1	1	yes	characteristic, complemented
273	C₃×#535	C₂×C₅	1	2	yes	complemented
274	C₃×#535	C₂×C₅	1	1	yes	characteristic, complemented
275	C₃×#534	C₂×C₅	1	2	yes	complemented
276	C₃×#525	C₂×C₅	1	1	yes	characteristic, complemented
277	C₃×#525	C₂×C₅	1	1	yes	characteristic, complemented
278	C₂×C₃×#121	C₂×C₅	1	1	yes	characteristic, complemented
279	C₂×C₅×#41	C₂²×C₃	1	1	yes	characteristic, complemented
280	C₂×C₅×#41	C₂²×C₃	1	1	yes	characteristic, complemented
281	C₂×C₅×#41	C₂²×C₃	1	2	yes	complemented
282	C₂×C₅×#41	C₂²×C₃	1	1	yes	characteristic, complemented
283	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
284	C₂²×C₅×D₄	C₂²×C₃	1	2	yes	—
285	C₂²×C₅×D₄	C₂²×C₃	1	2	yes	complemented
286	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
287	C₂³×C₄×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
288	C₅×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
289	C₅×#127	C₂²×C₃	1	2	yes	complemented
290	C₅×#127	C₂²×C₃	1	2	yes	complemented
291	C₅×#127	C₂²×C₃	1	1	yes	characteristic, complemented
292	C₅×#126	C₂²×C₃	1	2	yes	complemented
293	C₅×#126	C₂²×C₃	1	2	yes	complemented
294	C₅×#126	C₂²×C₃	1	2	yes	complemented
295	C₅×#125	C₂²×C₃	1	1	yes	characteristic, complemented
296	C₅×#125	C₂²×C₃	1	2	yes	complemented
297	C₅×#124	C₂²×C₃	1	2	yes	complemented
298	C₅×#124	C₂²×C₃	1	2	yes	complemented
299	C₅×#124	C₂²×C₃	1	2	yes	complemented
300	C₅×#124	C₂²×C₃	1	2	yes	complemented
301	C₅×#124	C₂²×C₃	1	1	yes	characteristic, complemented
302	C₅×#123	C₂²×C₃	1	2	yes	—
303	C₅×#123	C₂²×C₃	1	1	yes	characteristic, complemented
304	C₅×#123	C₂²×C₃	1	1	yes	characteristic, complemented
305	C₅×#123	C₂²×C₃	1	2	yes	complemented
306	C₅×#123	C₂²×C₃	1	2	yes	complemented
307	C₅×#123	C₂²×C₃	1	2	yes	complemented
308	C₅×#123	C₂²×C₃	1	2	yes	complemented
309	C₅×#123	C₂²×C₃	1	2	yes	complemented
310	C₅×#123	C₂²×C₃	1	2	yes	complemented
311	C₅×#123	C₂²×C₃	1	2	yes	complemented
312	C₅×#123	C₂²×C₃	1	2	yes	complemented
313	C₅×#123	C₂²×C₃	1	2	yes	complemented
314	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
315	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
316	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
317	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
318	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
319	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
320	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
321	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
322	C₅×#121	C₂²×C₃	1	1	yes	characteristic
323	C₅×#121	C₂²×C₃	1	1	yes	characteristic
324	C₅×#121	C₂²×C₃	1	1	yes	characteristic
325	C₅×#121	C₂²×C₃	1	1	yes	characteristic
326	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
327	C₅×#121	C₂²×C₃	1	2	yes	complemented
328	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
329	C₅×#121	C₂²×C₃	1	2	yes	complemented
330	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
331	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
332	C₅×#121	C₂²×C₃	1	2	yes	complemented
333	C₅×#121	C₂²×C₃	1	2	yes	complemented
334	C₅×#121	C₂²×C₃	1	2	yes	complemented
335	C₅×#121	C₂²×C₃	1	2	yes	complemented
336	C₅×#121	C₂²×C₃	1	2	yes	complemented
337	C₅×#121	C₂²×C₃	1	2	yes	complemented
338	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
339	C₅×#121	C₂²×C₃	1	2	yes	complemented
340	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
341	C₅×#121	C₂²×C₃	1	2	yes	complemented
342	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
343	C₅×#121	C₂²×C₃	1	2	yes	complemented
344	C₅×#121	C₂²×C₃	1	2	yes	complemented
345	C₅×#121	C₂²×C₃	1	2	yes	complemented
346	C₅×#121	C₂²×C₃	1	2	yes	complemented
347	C₅×#120	C₂²×C₃	1	1	yes	characteristic
348	C₅×#120	C₂²×C₃	1	2	yes	—
349	C₅×#120	C₂²×C₃	1	2	yes	complemented
350	C₅×#120	C₂²×C₃	1	1	yes	characteristic, complemented
351	C₅×#120	C₂²×C₃	1	2	yes	complemented
352	C₅×#120	C₂²×C₃	1	2	yes	complemented
353	C₅×#120	C₂²×C₃	1	2	yes	complemented
354	C₅×#120	C₂²×C₃	1	2	yes	complemented
355	C₅×#120	C₂²×C₃	1	2	yes	complemented
356	C₄×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
357	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
358	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
359	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
360	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
361	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
362	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
363	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
364	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
365	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
366	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
367	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
368	C₅×#117	C₂²×C₃	1	1	yes	characteristic, complemented
369	C₅×#117	C₂²×C₃	1	1	yes	characteristic, complemented
370	C₅×#117	C₂²×C₃	1	2	yes	complemented
371	C₅×#117	C₂²×C₃	1	1	yes	characteristic, complemented
372	C₅×#117	C₂²×C₃	1	2	yes	complemented
373	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
374	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
375	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
376	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
377	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
378	#3542	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
379	C₂³×C₃×C₅	—	2	2	no	—
380	C₂³×C₃×C₅	—	2	4	no	—
381	C₂³×C₃×C₅	—	4	1	no	—
382	C₂³×C₃×C₅	—	4	1	no	—
383	C₂³×C₃×C₅	—	4	2	no	—
384	C₂³×C₃×C₅	—	4	2	no	—
385	C₂³×C₃×C₅	—	4	2	no	—
386	C₂³×C₃×C₅	—	4	2	no	—
387	C₂³×C₃×C₅	—	4	2	no	—
388	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
389	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
390	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
391	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
392	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
393	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
394	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
395	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
396	C₃×C₅×Q₈	—	2	2	no	—
397	C₃×C₅×Q₈	—	4	1	no	—
398	C₃×C₅×Q₈	—	4	2	no	—
399	C₃×C₅×D₄	—	2	2	no	—
400	C₃×C₅×D₄	—	2	4	no	—
401	C₃×C₅×D₄	—	2	2	no	—
402	C₃×C₅×D₄	—	2	2	no	—
403	C₃×C₅×D₄	—	2	2	no	—
404	C₃×C₅×D₄	—	2	2	no	—
405	C₃×C₅×D₄	—	4	2	no	—
406	C₃×C₅×D₄	—	4	2	no	—
407	C₃×C₅×D₄	—	4	2	no	—
408	C₃×C₅×D₄	—	4	2	no	—
409	C₃×C₅×D₄	—	4	2	no	—
410	C₃×C₅×D₄	—	4	2	no	—
411	C₃×C₅×D₄	—	4	2	no	—
412	C₃×C₅×D₄	—	4	2	no	—
413	C₃×C₅×D₄	—	4	1	no	—
414	C₃×C₅×D₄	—	4	2	no	—
415	C₃×C₅×D₄	—	4	2	no	—
416	C₃×C₅×D₄	—	4	2	no	—
417	C₃×C₅×D₄	—	4	1	no	—
418	C₃×C₅×D₄	—	4	1	no	—
419	C₃×C₅×D₄	—	4	1	no	—
420	C₃×C₅×D₄	—	4	1	no	—
421	C₃×C₅×D₄	—	4	2	no	—
422	C₃×C₅×D₄	—	4	2	no	—
423	C₃×C₅×D₄	—	4	2	no	—
424	C₂×C₃×C₄×C₅	—	2	4	no	—
425	C₂×C₃×C₄×C₅	—	2	2	no	—
426	C₂×C₃×C₄×C₅	—	2	2	no	—
427	C₂×C₃×C₄×C₅	—	2	2	no	—
428	C₂×C₃×C₄×C₅	—	2	2	no	—
429	C₂×C₃×C₄×C₅	—	2	2	no	—
430	C₂×C₃×C₄×C₅	—	4	1	no	—
431	C₂×C₃×C₄×C₅	—	4	1	no	—
432	C₂×C₃×C₄×C₅	—	4	1	no	—
433	C₂×C₃×C₄×C₅	—	4	2	no	—
434	C₂×C₃×C₄×C₅	—	4	2	no	—
435	C₂×C₃×C₄×C₅	—	4	2	no	—
436	C₂×C₃×C₄×C₅	—	4	2	no	—
437	C₂×C₃×C₄×C₅	—	4	2	no	—
438	C₂×C₃×C₄×C₅	—	4	2	no	—
439	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
440	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
441	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
442	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
443	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
444	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
445	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
446	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
447	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
448	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
449	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
450	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
451	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
452	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
453	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
454	C₂×C₃×#41	C₂²×C₅	1	1	yes	characteristic, complemented
455	C₂×C₃×#41	C₂²×C₅	1	1	yes	characteristic, complemented
456	C₂×C₃×#41	C₂²×C₅	1	2	yes	complemented
457	C₂×C₃×#41	C₂²×C₅	1	1	yes	characteristic, complemented
458	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
459	C₂²×C₃×D₄	C₂²×C₅	1	2	yes	—
460	C₂²×C₃×D₄	C₂²×C₅	1	2	yes	complemented
461	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
462	C₂³×C₃×C₄	C₂²×C₅	1	1	yes	characteristic, complemented
463	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
464	C₃×#127	C₂²×C₅	1	2	yes	complemented
465	C₃×#127	C₂²×C₅	1	2	yes	complemented
466	C₃×#127	C₂²×C₅	1	1	yes	characteristic, complemented
467	C₃×#126	C₂²×C₅	1	2	yes	complemented
468	C₃×#126	C₂²×C₅	1	2	yes	complemented
469	C₃×#126	C₂²×C₅	1	2	yes	complemented
470	C₃×#125	C₂²×C₅	1	2	yes	complemented
471	C₃×#125	C₂²×C₅	1	1	yes	characteristic, complemented
472	C₃×#124	C₂²×C₅	1	2	yes	complemented
473	C₃×#124	C₂²×C₅	1	2	yes	complemented
474	C₃×#124	C₂²×C₅	1	2	yes	complemented
475	C₃×#124	C₂²×C₅	1	2	yes	complemented
476	C₃×#124	C₂²×C₅	1	1	yes	characteristic, complemented
477	C₃×#123	C₂²×C₅	1	2	yes	—
478	C₃×#123	C₂²×C₅	1	2	yes	complemented
479	C₃×#123	C₂²×C₅	1	2	yes	complemented
480	C₃×#123	C₂²×C₅	1	2	yes	complemented
481	C₃×#123	C₂²×C₅	1	2	yes	complemented
482	C₃×#123	C₂²×C₅	1	2	yes	complemented
483	C₃×#123	C₂²×C₅	1	2	yes	complemented
484	C₃×#123	C₂²×C₅	1	1	yes	characteristic, complemented
485	C₃×#123	C₂²×C₅	1	1	yes	characteristic, complemented
486	C₃×#123	C₂²×C₅	1	2	yes	complemented
487	C₃×#123	C₂²×C₅	1	2	yes	complemented
488	C₃×#123	C₂²×C₅	1	2	yes	complemented
489	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
490	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	complemented
491	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	complemented
492	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	complemented
493	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
494	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
495	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
496	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
497	C₃×#121	C₂²×C₅	1	1	yes	characteristic
498	C₃×#121	C₂²×C₅	1	1	yes	characteristic
499	C₃×#121	C₂²×C₅	1	1	yes	characteristic
500	C₃×#121	C₂²×C₅	1	1	yes	characteristic
501	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
502	C₃×#121	C₂²×C₅	1	2	yes	complemented
503	C₃×#121	C₂²×C₅	1	2	yes	complemented
504	C₃×#121	C₂²×C₅	1	2	yes	complemented
505	C₃×#121	C₂²×C₅	1	2	yes	complemented
506	C₃×#121	C₂²×C₅	1	2	yes	complemented
507	C₃×#121	C₂²×C₅	1	2	yes	complemented
508	C₃×#121	C₂²×C₅	1	2	yes	complemented
509	C₃×#121	C₂²×C₅	1	2	yes	complemented
510	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
511	C₃×#121	C₂²×C₅	1	2	yes	complemented
512	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
513	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
514	C₃×#121	C₂²×C₅	1	2	yes	complemented
515	C₃×#121	C₂²×C₅	1	2	yes	complemented
516	C₃×#121	C₂²×C₅	1	2	yes	complemented
517	C₃×#121	C₂²×C₅	1	2	yes	complemented
518	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
519	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
520	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
521	C₃×#121	C₂²×C₅	1	2	yes	complemented
522	C₃×#120	C₂²×C₅	1	1	yes	characteristic
523	C₃×#120	C₂²×C₅	1	2	yes	—
524	C₃×#120	C₂²×C₅	1	2	yes	complemented
525	C₃×#120	C₂²×C₅	1	2	yes	complemented
526	C₃×#120	C₂²×C₅	1	2	yes	complemented
527	C₃×#120	C₂²×C₅	1	2	yes	complemented
528	C₃×#120	C₂²×C₅	1	1	yes	characteristic, complemented
529	C₃×#120	C₂²×C₅	1	2	yes	complemented
530	C₃×#120	C₂²×C₅	1	2	yes	complemented
531	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
532	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
533	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
534	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
535	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
536	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
537	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
538	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
539	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
540	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
541	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
542	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
543	C₃×#117	C₂²×C₅	1	1	yes	characteristic, complemented
544	C₃×#117	C₂²×C₅	1	1	yes	characteristic, complemented
545	C₃×#117	C₂²×C₅	1	2	yes	complemented
546	C₃×#117	C₂²×C₅	1	1	yes	characteristic, complemented
547	C₃×#117	C₂²×C₅	1	2	yes	complemented
548	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
549	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
550	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
551	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
552	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
553	C₂⁴×C₅	C₂³×C₃	1	2	yes	—
554	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
555	C₂⁴×C₅	C₂³×C₃	1	2	yes	—
556	C₅×#41	—	4	2	no	—
557	C₅×#41	—	4	4	no	—
558	C₅×#41	—	4	2	no	—
559	C₅×#41	—	4	2	no	—
560	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
561	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
562	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
563	C₂×C₅×D₄	—	4	2	no	—
564	C₂×C₅×D₄	—	4	2	no	—
565	C₂×C₅×D₄	—	4	4	no	—
566	C₂×C₅×D₄	—	4	4	no	—
567	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
568	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
569	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
570	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
571	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
572	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
573	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
574	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
575	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
576	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
577	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
578	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
579	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
580	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
581	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
582	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
583	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
584	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
585	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
586	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
587	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
588	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
589	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
590	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
591	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
592	C₂²×C₄×C₅	—	4	2	no	—
593	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
594	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
595	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
596	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
597	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
598	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
599	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
600	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
601	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
602	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
603	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
604	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
605	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
606	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
607	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
609	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
610	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
611	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
612	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
613	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
614	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
615	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
616	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
617	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
618	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
619	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
620	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
621	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
622	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
623	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
624	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
625	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
626	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
627	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
628	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
629	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
630	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
631	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
632	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
633	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
634	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
635	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
636	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
637	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
638	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
639	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
640	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
641	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
642	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
643	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
644	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
645	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
646	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
647	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
648	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
649	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
650	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
651	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
652	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
653	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
654	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
655	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
656	C₄²×C₅	C₂³×C₃	1	2	yes	—
657	C₄²×C₅	C₂³×C₃	1	2	yes	—
658	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
659	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
660	C₄²×C₅	C₂³×C₃	1	2	yes	—
661	#562	C₂×C₃×C₅	1	2	yes	complemented
662	#560	C₂×C₃×C₅	1	2	yes	complemented
663	#555	C₂×C₃×C₅	1	1	yes	characteristic, complemented
664	#553	C₂×C₃×C₅	1	1	yes	characteristic, complemented
665	#552	C₂×C₃×C₅	1	1	yes	characteristic, complemented
666	#551	C₂×C₃×C₅	1	2	yes	complemented
667	#550	C₂×C₃×C₅	1	1	yes	characteristic, complemented
668	#547	C₂×C₃×C₅	1	1	yes	characteristic, complemented
669	#546	C₂×C₃×C₅	1	2	yes	complemented
670	#546	C₂×C₃×C₅	1	1	yes	characteristic, complemented
671	#546	C₂×C₃×C₅	1	1	yes	characteristic, complemented
672	D₄²	C₂×C₃×C₅	1	1	yes	characteristic, complemented
673	#542	C₂×C₃×C₅	1	1	yes	characteristic, complemented
674	#540	C₂×C₃×C₅	1	1	yes	characteristic, complemented
675	#540	C₂×C₃×C₅	1	2	yes	complemented
676	#538	C₂×C₃×C₅	1	2	yes	complemented
677	#537	C₂×C₃×C₅	1	1	yes	characteristic, complemented
678	#535	C₂×C₃×C₅	1	2	yes	complemented
679	#535	C₂×C₃×C₅	1	1	yes	characteristic, complemented
680	#534	C₂×C₃×C₅	1	2	yes	complemented
681	#525	C₂×C₃×C₅	1	1	yes	characteristic, complemented
682	#525	C₂×C₃×C₅	1	1	yes	characteristic, complemented
683	C₂×#121	C₂×C₃×C₅	1	1	yes	characteristic, complemented
684	C₂²×C₃×C₅	—	2	1	no	—
685	C₂²×C₃×C₅	—	2	1	no	—
686	C₂²×C₃×C₅	—	2	1	no	—
687	C₂²×C₃×C₅	—	2	1	no	—
688	C₂²×C₃×C₅	—	2	1	no	—
689	C₂²×C₃×C₅	—	2	1	no	—
690	C₂²×C₃×C₅	—	2	1	no	—
691	C₂²×C₃×C₅	—	2	2	no	—
692	C₂²×C₃×C₅	—	2	2	no	—
693	C₂²×C₃×C₅	—	2	2	no	—
694	C₂²×C₃×C₅	—	2	2	no	—
695	C₂²×C₃×C₅	—	2	1	no	—
696	C₂²×C₃×C₅	—	2	2	no	—
697	C₂²×C₃×C₅	—	2	1	no	—
698	C₂²×C₃×C₅	—	2	1	no	—
699	C₂²×C₃×C₅	—	2	2	no	—
700	C₂²×C₃×C₅	—	2	2	no	—
701	C₂²×C₃×C₅	—	2	1	no	—
702	C₂²×C₃×C₅	—	2	1	no	—
703	C₂²×C₃×C₅	—	2	1	no	—
704	C₂²×C₃×C₅	—	2	2	no	—
705	C₂²×C₃×C₅	—	2	1	no	—
706	C₂²×C₃×C₅	—	2	2	no	—
707	C₂²×C₃×C₅	—	4	4	no	—
708	C₂²×C₃×C₅	—	8	4	no	—
709	C₂²×C₃×C₅	—	8	4	no	—
710	C₂²×C₃×C₅	H(5,𝔽₂)	1	2	yes	—
711	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
712	C₃×C₄×C₅	—	2	1	no	—
713	C₃×C₄×C₅	—	2	2	no	—
714	C₃×C₄×C₅	—	2	1	no	—
715	C₃×C₄×C₅	—	2	1	no	—
716	C₃×C₄×C₅	—	2	1	no	—
717	C₃×C₄×C₅	—	2	2	no	—
718	C₃×C₄×C₅	—	2	1	no	—
719	C₃×C₄×C₅	—	2	1	no	—
720	C₃×C₄×C₅	—	2	2	no	—
721	C₃×C₄×C₅	—	2	1	no	—
722	C₃×C₄×C₅	—	2	2	no	—
723	C₃×C₄×C₅	—	2	1	no	—
724	C₃×C₄×C₅	—	2	2	no	—
725	C₃×C₄×C₅	—	2	1	no	—
726	C₃×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
727	C₂⁴×C₃	C₂³×C₅	1	2	yes	—
728	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
729	C₂⁴×C₃	C₂³×C₅	1	2	yes	—
730	C₃×#41	—	4	2	no	—
731	C₃×#41	—	4	4	no	—
732	C₃×#41	—	4	2	no	—
733	C₃×#41	—	4	2	no	—
734	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
735	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
736	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
737	C₂×C₃×D₄	—	4	2	no	—
738	C₂×C₃×D₄	—	4	2	no	—
739	C₂×C₃×D₄	—	4	4	no	—
740	C₂×C₃×D₄	—	4	4	no	—
741	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
742	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
743	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
744	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
745	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
746	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
747	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
748	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
749	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
750	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
751	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
752	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
753	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
754	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
755	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
756	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
757	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
758	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
759	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
760	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
761	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
762	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
763	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
764	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
765	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
766	C₂²×C₃×C₄	—	4	2	no	—
767	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
768	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
769	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
770	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
771	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
772	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
773	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
774	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
775	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
776	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
777	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
778	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
779	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
780	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
781	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
782	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
783	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
784	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
785	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
786	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
787	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
788	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
789	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
790	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
791	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
792	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
793	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
794	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
795	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
796	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
797	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
798	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
799	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
800	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
801	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
802	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
803	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
804	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
805	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
806	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
807	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
808	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
809	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
810	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
811	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
812	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
813	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
814	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
815	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
816	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
817	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
818	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
819	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
820	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
821	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
822	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
823	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
824	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
825	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
826	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
827	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
828	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
829	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
830	C₃×C₄²	C₂³×C₅	1	2	yes	—
831	C₃×C₄²	C₂³×C₅	1	2	yes	—
832	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
833	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
834	C₃×C₄²	C₂³×C₅	1	2	yes	—
835	C₂³×C₅	—	2	2	no	—
836	C₂³×C₅	—	2	4	no	—
837	C₂³×C₅	—	4	1	no	—
838	C₂³×C₅	—	4	1	no	—
839	C₂³×C₅	—	4	2	no	—
840	C₂³×C₅	—	4	2	no	—
841	C₂³×C₅	—	4	2	no	—
842	C₂³×C₅	—	4	2	no	—
843	C₂³×C₅	—	4	2	no	—
844	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
845	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
846	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
847	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
848	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
849	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
850	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
851	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
852	C₅×Q₈	—	2	2	no	—
853	C₅×Q₈	—	4	1	no	—
854	C₅×Q₈	—	4	2	no	—
855	C₅×D₄	—	2	2	no	—
856	C₅×D₄	—	2	4	no	—
857	C₅×D₄	—	2	2	no	—
858	C₅×D₄	—	2	2	no	—
859	C₅×D₄	—	2	2	no	—
860	C₅×D₄	—	2	2	no	—
861	C₅×D₄	—	4	2	no	—
862	C₅×D₄	—	4	2	no	—
863	C₅×D₄	—	4	2	no	—
864	C₅×D₄	—	4	2	no	—
865	C₅×D₄	—	4	2	no	—
866	C₅×D₄	—	4	2	no	—
867	C₅×D₄	—	4	2	no	—
868	C₅×D₄	—	4	2	no	—
869	C₅×D₄	—	4	1	no	—
870	C₅×D₄	—	4	2	no	—
871	C₅×D₄	—	4	2	no	—
872	C₅×D₄	—	4	2	no	—
873	C₅×D₄	—	4	1	no	—
874	C₅×D₄	—	4	1	no	—
875	C₅×D₄	—	4	1	no	—
876	C₅×D₄	—	4	1	no	—
877	C₅×D₄	—	4	2	no	—
878	C₅×D₄	—	4	2	no	—
879	C₅×D₄	—	4	2	no	—
880	C₂×C₄×C₅	—	2	4	no	—
881	C₂×C₄×C₅	—	2	2	no	—
882	C₂×C₄×C₅	—	2	2	no	—
883	C₂×C₄×C₅	—	2	2	no	—
884	C₂×C₄×C₅	—	2	2	no	—
885	C₂×C₄×C₅	—	2	2	no	—
886	C₂×C₄×C₅	—	4	1	no	—
887	C₂×C₄×C₅	—	4	1	no	—
888	C₂×C₄×C₅	—	4	1	no	—
889	C₂×C₄×C₅	—	4	2	no	—
890	C₂×C₄×C₅	—	4	2	no	—
891	C₂×C₄×C₅	—	4	2	no	—
892	C₂×C₄×C₅	—	4	2	no	—
893	C₂×C₄×C₅	—	4	2	no	—
894	C₂×C₄×C₅	—	4	2	no	—
895	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
896	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
897	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
898	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
899	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
900	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
901	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
902	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
903	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
904	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
905	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
906	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
907	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
908	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
909	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
910	C₂×#41	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
911	C₂×#41	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
912	C₂×#41	C₂²×C₃×C₅	1	2	yes	complemented
913	C₂×#41	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
914	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
915	C₂²×D₄	C₂²×C₃×C₅	1	2	yes	—
916	C₂²×D₄	C₂²×C₃×C₅	1	2	yes	complemented
917	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
918	C₂³×C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
919	C₄⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
920	#127	C₂²×C₃×C₅	1	2	yes	complemented
921	#127	C₂²×C₃×C₅	1	2	yes	complemented
922	#127	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
923	#126	C₂²×C₃×C₅	1	2	yes	complemented
924	#126	C₂²×C₃×C₅	1	2	yes	complemented
925	#126	C₂²×C₃×C₅	1	2	yes	complemented
926	#125	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
927	#125	C₂²×C₃×C₅	1	2	yes	complemented
928	#124	C₂²×C₃×C₅	1	2	yes	complemented
929	#124	C₂²×C₃×C₅	1	2	yes	complemented
930	#124	C₂²×C₃×C₅	1	2	yes	complemented
931	#124	C₂²×C₃×C₅	1	2	yes	complemented
932	#124	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
933	#123	C₂²×C₃×C₅	1	2	yes	—
934	#123	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
935	#123	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
936	#123	C₂²×C₃×C₅	1	2	yes	complemented
937	#123	C₂²×C₃×C₅	1	2	yes	complemented
938	#123	C₂²×C₃×C₅	1	2	yes	complemented
939	#123	C₂²×C₃×C₅	1	2	yes	complemented
940	#123	C₂²×C₃×C₅	1	2	yes	complemented
941	#123	C₂²×C₃×C₅	1	2	yes	complemented
942	#123	C₂²×C₃×C₅	1	2	yes	complemented
943	#123	C₂²×C₃×C₅	1	2	yes	complemented
944	#123	C₂²×C₃×C₅	1	2	yes	complemented
945	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
946	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
947	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
948	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
949	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
950	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	complemented
951	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	complemented
952	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	complemented
953	#121	C₂²×C₃×C₅	1	1	yes	characteristic
954	#121	C₂²×C₃×C₅	1	1	yes	characteristic
955	#121	C₂²×C₃×C₅	1	1	yes	characteristic
956	#121	C₂²×C₃×C₅	1	1	yes	characteristic
957	#121	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
958	#121	C₂²×C₃×C₅	1	2	yes	complemented
959	#121	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
960	#121	C₂²×C₃×C₅	1	2	yes	complemented
961	#121	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
962	#121	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
963	#121	C₂²×C₃×C₅	1	2	yes	complemented
964	#121	C₂²×C₃×C₅	1	2	yes	complemented
965	#121	C₂²×C₃×C₅	1	2	yes	complemented
966	#121	C₂²×C₃×C₅	1	2	yes	complemented
967	#121	C₂²×C₃×C₅	1	2	yes	complemented
968	#121	C₂²×C₃×C₅	1	2	yes	complemented
969	#121	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
970	#121	C₂²×C₃×C₅	1	2	yes	complemented
971	#121	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
972	#121	C₂²×C₃×C₅	1	2	yes	complemented
973	#121	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
974	#121	C₂²×C₃×C₅	1	2	yes	complemented
975	#121	C₂²×C₃×C₅	1	2	yes	complemented
976	#121	C₂²×C₃×C₅	1	2	yes	complemented
977	#121	C₂²×C₃×C₅	1	2	yes	complemented
978	#120	C₂²×C₃×C₅	1	1	yes	characteristic
979	#120	C₂²×C₃×C₅	1	2	yes	—
980	#120	C₂²×C₃×C₅	1	2	yes	complemented
981	#120	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
982	#120	C₂²×C₃×C₅	1	2	yes	complemented
983	#120	C₂²×C₃×C₅	1	2	yes	complemented
984	#120	C₂²×C₃×C₅	1	2	yes	complemented
985	#120	C₂²×C₃×C₅	1	2	yes	complemented
986	#120	C₂²×C₃×C₅	1	2	yes	complemented
987	C₄×Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
988	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
989	C₄×D₄	C₂²×C₃×C₅	1	2	yes	complemented
990	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
991	C₄×D₄	C₂²×C₃×C₅	1	2	yes	complemented
992	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
993	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
994	C₄×D₄	C₂²×C₃×C₅	1	2	yes	complemented
995	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
996	C₄×D₄	C₂²×C₃×C₅	1	2	yes	complemented
997	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
998	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
999	#117	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
1000	#117	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
1001	#117	C₂²×C₃×C₅	1	2	yes	complemented
1002	#117	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
1003	#117	C₂²×C₃×C₅	1	2	yes	complemented
1004	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
1005	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
1006	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	2	yes	complemented
1007	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	2	yes	complemented
1008	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	2	yes	complemented
1009	C₂×C₃×C₅	—	2	2	no	—
1010	C₂×C₃×C₅	—	4	1	no	—
1011	C₂×C₃×C₅	—	4	1	no	—
1012	C₂×C₃×C₅	—	4	1	no	—
1013	C₂×C₃×C₅	—	4	2	no	—
1014	C₂×C₃×C₅	—	4	2	no	—
1015	C₂×C₃×C₅	—	4	1	no	—
1016	C₂×C₃×C₅	—	4	2	no	—
1017	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1018	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1019	C₂×C₃×C₅	#585	1	1	yes	characteristic
1020	C₂³×C₃	—	2	2	no	—
1021	C₂³×C₃	—	2	4	no	—
1022	C₂³×C₃	—	4	1	no	—
1023	C₂³×C₃	—	4	1	no	—
1024	C₂³×C₃	—	4	2	no	—
1025	C₂³×C₃	—	4	2	no	—
1026	C₂³×C₃	—	4	2	no	—
1027	C₂³×C₃	—	4	2	no	—
1028	C₂³×C₃	—	4	2	no	—
1029	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1030	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
1031	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1032	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1033	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
1034	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
1035	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1036	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1037	C₃×Q₈	—	2	2	no	—
1038	C₃×Q₈	—	4	1	no	—
1039	C₃×Q₈	—	4	2	no	—
1040	C₃×D₄	—	2	2	no	—
1041	C₃×D₄	—	2	4	no	—
1042	C₃×D₄	—	2	2	no	—
1043	C₃×D₄	—	2	2	no	—
1044	C₃×D₄	—	2	2	no	—
1045	C₃×D₄	—	2	2	no	—
1046	C₃×D₄	—	4	2	no	—
1047	C₃×D₄	—	4	2	no	—
1048	C₃×D₄	—	4	2	no	—
1049	C₃×D₄	—	4	2	no	—
1050	C₃×D₄	—	4	2	no	—
1051	C₃×D₄	—	4	2	no	—
1052	C₃×D₄	—	4	2	no	—
1053	C₃×D₄	—	4	2	no	—
1054	C₃×D₄	—	4	1	no	—
1055	C₃×D₄	—	4	2	no	—
1056	C₃×D₄	—	4	2	no	—
1057	C₃×D₄	—	4	2	no	—
1058	C₃×D₄	—	4	1	no	—
1059	C₃×D₄	—	4	1	no	—
1060	C₃×D₄	—	4	1	no	—
1061	C₃×D₄	—	4	1	no	—
1062	C₃×D₄	—	4	2	no	—
1063	C₃×D₄	—	4	2	no	—
1064	C₃×D₄	—	4	2	no	—
1065	C₂×C₃×C₄	—	2	4	no	—
1066	C₂×C₃×C₄	—	2	2	no	—
1067	C₂×C₃×C₄	—	2	2	no	—
1068	C₂×C₃×C₄	—	2	2	no	—
1069	C₂×C₃×C₄	—	2	2	no	—
1070	C₂×C₃×C₄	—	2	2	no	—
1071	C₂×C₃×C₄	—	4	1	no	—
1072	C₂×C₃×C₄	—	4	1	no	—
1073	C₂×C₃×C₄	—	4	1	no	—
1074	C₂×C₃×C₄	—	4	2	no	—
1075	C₂×C₃×C₄	—	4	2	no	—
1076	C₂×C₃×C₄	—	4	2	no	—
1077	C₂×C₃×C₄	—	4	2	no	—
1078	C₂×C₃×C₄	—	4	2	no	—
1079	C₂×C₃×C₄	—	4	2	no	—
1080	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1081	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1082	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1083	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1084	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1085	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1086	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1087	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1088	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1089	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1090	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1091	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1092	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1093	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1094	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1095	C₂²×C₅	—	2	1	no	—
1096	C₂²×C₅	—	2	1	no	—
1097	C₂²×C₅	—	2	1	no	—
1098	C₂²×C₅	—	2	1	no	—
1099	C₂²×C₅	—	2	1	no	—
1100	C₂²×C₅	—	2	1	no	—
1101	C₂²×C₅	—	2	1	no	—
1102	C₂²×C₅	—	2	2	no	—
1103	C₂²×C₅	—	2	2	no	—
1104	C₂²×C₅	—	2	2	no	—
1105	C₂²×C₅	—	2	2	no	—
1106	C₂²×C₅	—	2	1	no	—
1107	C₂²×C₅	—	2	2	no	—
1108	C₂²×C₅	—	2	1	no	—
1109	C₂²×C₅	—	2	1	no	—
1110	C₂²×C₅	—	2	2	no	—
1111	C₂²×C₅	—	2	2	no	—
1112	C₂²×C₅	—	2	1	no	—
1113	C₂²×C₅	—	2	1	no	—
1114	C₂²×C₅	—	2	1	no	—
1115	C₂²×C₅	—	2	2	no	—
1116	C₂²×C₅	—	2	1	no	—
1117	C₂²×C₅	—	2	2	no	—
1118	C₂²×C₅	—	4	4	no	—
1119	C₂²×C₅	—	8	4	no	—
1120	C₂²×C₅	—	8	4	no	—
1121	C₂²×C₅	C₃×H(5,𝔽₂)	1	2	yes	—
1122	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
1123	C₄×C₅	—	2	1	no	—
1124	C₄×C₅	—	2	2	no	—
1125	C₄×C₅	—	2	1	no	—
1126	C₄×C₅	—	2	1	no	—
1127	C₄×C₅	—	2	1	no	—
1128	C₄×C₅	—	2	2	no	—
1129	C₄×C₅	—	2	1	no	—
1130	C₄×C₅	—	2	1	no	—
1131	C₄×C₅	—	2	2	no	—
1132	C₄×C₅	—	2	1	no	—
1133	C₄×C₅	—	2	2	no	—
1134	C₄×C₅	—	2	1	no	—
1135	C₄×C₅	—	2	2	no	—
1136	C₄×C₅	—	2	1	no	—
1137	C₄×C₅	C₃×H(5,𝔽₂)	1	2	yes	—
1138	C₂⁴	C₂³×C₃×C₅	1	2	yes	—
1139	C₂⁴	C₂³×C₃×C₅	1	1	yes	characteristic
1140	C₂⁴	C₂³×C₃×C₅	1	2	yes	—
1141	#41	—	4	2	no	—
1142	#41	—	4	4	no	—
1143	#41	—	4	2	no	—
1144	#41	—	4	2	no	—
1145	C₂×Q₈	C₂³×C₃×C₅	1	1	yes	characteristic
1146	C₂×Q₈	C₂³×C₃×C₅	1	1	yes	characteristic
1147	C₂×Q₈	C₂³×C₃×C₅	1	2	yes	—
1148	C₂×D₄	—	4	2	no	—
1149	C₂×D₄	—	4	2	no	—
1150	C₂×D₄	—	4	4	no	—
1151	C₂×D₄	—	4	4	no	—
1152	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1153	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1154	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1155	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1156	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1157	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1158	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1159	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1160	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1161	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1162	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1163	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1164	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1165	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1166	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1167	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1168	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1169	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1170	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1171	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1172	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
1173	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1174	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1175	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1176	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
1177	C₂²×C₄	—	4	2	no	—
1178	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1179	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1186	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1187	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1188	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1189	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1190	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
1192	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1193	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1194	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1195	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1196	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1197	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1198	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1199	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1200	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1201	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1202	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1203	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1204	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1205	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1206	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1207	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1208	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1209	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1210	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1211	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1212	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1213	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1214	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1215	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1216	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1217	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1218	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1219	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1220	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1221	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1222	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1223	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1224	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1225	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1226	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1227	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1228	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1229	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1230	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1231	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1232	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1233	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1234	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1235	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1236	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1237	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1238	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1239	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
1240	C₂²⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
1241	C₄²	C₂³×C₃×C₅	1	2	yes	—
1242	C₄²	C₂³×C₃×C₅	1	2	yes	—
1243	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
1244	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
1245	C₄²	C₂³×C₃×C₅	1	2	yes	—
1246	C₃×C₅	#3542	1	1	yes	characteristic, direct product factor, Hall
1247	C₂²×C₃	—	2	1	no	—
1248	C₂²×C₃	—	2	1	no	—
1249	C₂²×C₃	—	2	1	no	—
1250	C₂²×C₃	—	2	1	no	—
1251	C₂²×C₃	—	2	1	no	—
1252	C₂²×C₃	—	2	1	no	—
1253	C₂²×C₃	—	2	1	no	—
1254	C₂²×C₃	—	2	2	no	—
1255	C₂²×C₃	—	2	2	no	—
1256	C₂²×C₃	—	2	2	no	—
1257	C₂²×C₃	—	2	2	no	—
1258	C₂²×C₃	—	2	1	no	—
1259	C₂²×C₃	—	2	2	no	—
1260	C₂²×C₃	—	2	1	no	—
1261	C₂²×C₃	—	2	1	no	—
1262	C₂²×C₃	—	2	2	no	—
1263	C₂²×C₃	—	2	2	no	—
1264	C₂²×C₃	—	2	1	no	—
1265	C₂²×C₃	—	2	1	no	—
1266	C₂²×C₃	—	2	1	no	—
1267	C₂²×C₃	—	2	2	no	—
1268	C₂²×C₃	—	2	1	no	—
1269	C₂²×C₃	—	2	2	no	—
1270	C₂²×C₃	—	4	4	no	—
1271	C₂²×C₃	—	8	4	no	—
1272	C₂²×C₃	—	8	4	no	—
1273	C₂²×C₃	C₅×H(5,𝔽₂)	1	2	yes	—
1274	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
1275	C₃×C₄	—	2	1	no	—
1276	C₃×C₄	—	2	2	no	—
1277	C₃×C₄	—	2	1	no	—
1278	C₃×C₄	—	2	1	no	—
1279	C₃×C₄	—	2	1	no	—
1280	C₃×C₄	—	2	2	no	—
1281	C₃×C₄	—	2	1	no	—
1282	C₃×C₄	—	2	1	no	—
1283	C₃×C₄	—	2	2	no	—
1284	C₃×C₄	—	2	1	no	—
1285	C₃×C₄	—	2	2	no	—
1286	C₃×C₄	—	2	1	no	—
1287	C₃×C₄	—	2	2	no	—
1288	C₃×C₄	—	2	1	no	—
1289	C₃×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1290	C₂×C₅	—	2	2	no	—
1291	C₂×C₅	—	4	1	no	—
1292	C₂×C₅	—	4	1	no	—
1293	C₂×C₅	—	4	1	no	—
1294	C₂×C₅	—	4	2	no	—
1295	C₂×C₅	—	4	2	no	—
1296	C₂×C₅	—	4	2	no	—
1297	C₂×C₅	—	4	1	no	—
1298	C₂×C₅	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1299	C₂×C₅	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1300	C₂×C₅	C₃×#585	1	1	yes	characteristic
1301	C₂³	—	2	2	no	—
1302	C₂³	—	2	4	no	—
1303	C₂³	—	4	1	no	—
1304	C₂³	—	4	1	no	—
1305	C₂³	—	4	2	no	—
1306	C₂³	—	4	2	no	—
1307	C₂³	—	4	2	no	—
1308	C₂³	—	4	2	no	—
1309	C₂³	—	4	2	no	—
1310	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
1311	C₂³	C₂⁴×C₃×C₅	1	2	yes	—
1312	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
1313	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
1314	C₂³	C₂⁴×C₃×C₅	1	2	yes	—
1315	C₂³	C₂⁴×C₃×C₅	1	2	yes	—
1316	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
1317	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
1318	Q₈	—	2	2	no	—
1319	Q₈	—	4	1	no	—
1320	Q₈	—	4	2	no	—
1321	D₄	—	2	2	no	—
1322	D₄	—	2	4	no	—
1323	D₄	—	2	2	no	—
1324	D₄	—	2	2	no	—
1325	D₄	—	2	2	no	—
1326	D₄	—	2	2	no	—
1327	D₄	—	4	2	no	—
1328	D₄	—	4	2	no	—
1329	D₄	—	4	2	no	—
1330	D₄	—	4	2	no	—
1331	D₄	—	4	2	no	—
1332	D₄	—	4	2	no	—
1333	D₄	—	4	2	no	—
1334	D₄	—	4	2	no	—
1335	D₄	—	4	1	no	—
1336	D₄	—	4	1	no	—
1337	D₄	—	4	1	no	—
1338	D₄	—	4	2	no	—
1339	D₄	—	4	2	no	—
1340	D₄	—	4	2	no	—
1341	D₄	—	4	1	no	—
1342	D₄	—	4	2	no	—
1343	D₄	—	4	2	no	—
1344	D₄	—	4	2	no	—
1345	D₄	—	4	1	no	—
1346	C₂×C₄	—	2	4	no	—
1347	C₂×C₄	—	2	2	no	—
1348	C₂×C₄	—	2	2	no	—
1349	C₂×C₄	—	2	2	no	—
1350	C₂×C₄	—	2	2	no	—
1351	C₂×C₄	—	2	2	no	—
1352	C₂×C₄	—	4	1	no	—
1353	C₂×C₄	—	4	1	no	—
1354	C₂×C₄	—	4	1	no	—
1355	C₂×C₄	—	4	2	no	—
1356	C₂×C₄	—	4	2	no	—
1357	C₂×C₄	—	4	2	no	—
1358	C₂×C₄	—	4	2	no	—
1359	C₂×C₄	—	4	2	no	—
1360	C₂×C₄	—	4	2	no	—
1361	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1362	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1363	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1364	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1365	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1366	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1367	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1368	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1369	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1370	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1371	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1372	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1373	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
1374	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1375	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
1376	C₂×C₃	—	2	2	no	—
1377	C₂×C₃	—	4	1	no	—
1378	C₂×C₃	—	4	1	no	—
1379	C₂×C₃	—	4	1	no	—
1380	C₂×C₃	—	4	2	no	—
1381	C₂×C₃	—	4	2	no	—
1382	C₂×C₃	—	4	2	no	—
1383	C₂×C₃	—	4	1	no	—
1384	C₂×C₃	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1385	C₂×C₃	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1386	C₂×C₃	C₅×#585	1	1	yes	characteristic
1387	C₅	C₃×#3542	1	1	yes	characteristic, direct product factor, Sylow
1388	C₂²	—	2	1	no	—
1389	C₂²	—	2	1	no	—
1390	C₂²	—	2	1	no	—
1391	C₂²	—	2	1	no	—
1392	C₂²	—	2	1	no	—
1393	C₂²	—	2	1	no	—
1394	C₂²	—	2	1	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	2	no	—
1399	C₂²	—	2	1	no	—
1400	C₂²	—	2	2	no	—
1401	C₂²	—	2	1	no	—
1402	C₂²	—	2	1	no	—
1403	C₂²	—	2	2	no	—
1404	C₂²	—	2	2	no	—
1405	C₂²	—	2	1	no	—
1406	C₂²	—	2	1	no	—
1407	C₂²	—	2	1	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	1	no	—
1410	C₂²	—	2	2	no	—
1411	C₂²	—	4	4	no	—
1412	C₂²	—	8	4	no	—
1413	C₂²	—	8	4	no	—
1414	C₂²	C₃×C₅×H(5,𝔽₂)	1	2	yes	—
1415	C₂²	C₂⁵×C₃×C₅	1	1	yes	characteristic
1416	C₄	—	2	1	no	—
1417	C₄	—	2	2	no	—
1418	C₄	—	2	1	no	—
1419	C₄	—	2	1	no	—
1420	C₄	—	2	1	no	—
1421	C₄	—	2	2	no	—
1422	C₄	—	2	1	no	—
1423	C₄	—	2	1	no	—
1424	C₄	—	2	2	no	—
1425	C₄	—	2	1	no	—
1426	C₄	—	2	2	no	—
1427	C₄	—	2	1	no	—
1428	C₄	—	2	2	no	—
1429	C₄	—	2	1	no	—
1430	C₄	C₃×C₅×H(5,𝔽₂)	1	2	yes	—
1431	C₃	C₅×#3542	1	1	yes	characteristic, direct product factor, Sylow
1432	C₂	—	2	2	no	—
1433	C₂	—	4	1	no	—
1434	C₂	—	4	1	no	—
1435	C₂	—	4	1	no	—
1436	C₂	—	4	2	no	—
1437	C₂	—	4	2	no	—
1438	C₂	—	4	2	no	—
1439	C₂	—	4	1	no	—
1440	C₂	C₂×C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1441	C₂	C₂×C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1442	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×#562	C₂	semidirect
2. C₃×C₅×#560	C₂	semidirect
3. C₃×C₅×#555	C₂	semidirect
4. C₃×C₅×#553	C₂	semidirect
5. C₃×C₅×#552	C₂	semidirect
6. C₃×C₅×#551	C₂	semidirect
7. C₃×C₅×#550	C₂	semidirect
8. C₃×C₅×#547	C₂	semidirect
9. C₃×C₅×#546	C₂	semidirect
10. C₃×C₅×#546	C₂	semidirect
11. C₃×C₅×#546	C₂	semidirect
12. C₃×C₅×D₄²	C₂	semidirect
13. C₃×C₅×#542	C₂	semidirect
14. C₃×C₅×#540	C₂	semidirect
15. C₃×C₅×#540	C₂	semidirect
16. C₃×C₅×#538	C₂	semidirect
17. C₃×C₅×#537	C₂	semidirect
18. C₃×C₅×#535	C₂	semidirect
19. C₃×C₅×#535	C₂	semidirect
20. C₃×C₅×#534	C₂	semidirect
21. C₃×C₅×#525	C₂	semidirect
22. C₃×C₅×#525	C₂	semidirect
23. C₂×C₃×C₅×#121	C₂	semidirect
24. C₅×#3542	C₃	direct (N × H)
25. C₂×C₃×C₅×#41	C₂²	semidirect
26. C₂×C₃×C₅×#41	C₂²	semidirect
27. C₂×C₃×C₅×#41	C₂²	semidirect
28. C₂×C₃×C₅×#41	C₂²	semidirect
31. C₂²×C₃×C₅×D₄	C₂²	semidirect
32. C₂²×C₃×C₅×D₄	C₂²	semidirect
33. C₂³×C₃×C₄×C₅	C₂²	semidirect
34. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
35. C₃×C₅×#127	C₂²	semidirect
36. C₃×C₅×#127	C₂²	semidirect
37. C₃×C₅×#127	C₂²	semidirect
38. C₃×C₅×#126	C₂²	semidirect
39. C₃×C₅×#126	C₂²	semidirect
40. C₃×C₅×#126	C₂²	semidirect
41. C₃×C₅×#125	C₂²	semidirect
42. C₃×C₅×#125	C₂²	semidirect
43. C₃×C₅×#124	C₂²	semidirect
44. C₃×C₅×#124	C₂²	semidirect
45. C₃×C₅×#124	C₂²	semidirect
46. C₃×C₅×#124	C₂²	semidirect
47. C₃×C₅×#124	C₂²	semidirect
49. C₃×C₅×#123	C₂²	semidirect
50. C₃×C₅×#123	C₂²	semidirect
51. C₃×C₅×#123	C₂²	semidirect
52. C₃×C₅×#123	C₂²	semidirect
53. C₃×C₅×#123	C₂²	semidirect
54. C₃×C₅×#123	C₂²	semidirect
55. C₃×C₅×#123	C₂²	semidirect
56. C₃×C₅×#123	C₂²	semidirect
57. C₃×C₅×#123	C₂²	semidirect
58. C₃×C₅×#123	C₂²	semidirect
59. C₃×C₅×#123	C₂²	semidirect
60. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
61. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
62. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
63. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
64. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
65. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
66. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
67. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
72. C₃×C₅×#121	C₂²	semidirect
73. C₃×C₅×#121	C₂²	semidirect
74. C₃×C₅×#121	C₂²	semidirect
75. C₃×C₅×#121	C₂²	semidirect
76. C₃×C₅×#121	C₂²	semidirect
77. C₃×C₅×#121	C₂²	semidirect
78. C₃×C₅×#121	C₂²	semidirect
79. C₃×C₅×#121	C₂²	semidirect
80. C₃×C₅×#121	C₂²	semidirect
81. C₃×C₅×#121	C₂²	semidirect
82. C₃×C₅×#121	C₂²	semidirect
83. C₃×C₅×#121	C₂²	semidirect
84. C₃×C₅×#121	C₂²	semidirect
85. C₃×C₅×#121	C₂²	semidirect
86. C₃×C₅×#121	C₂²	semidirect
87. C₃×C₅×#121	C₂²	semidirect
88. C₃×C₅×#121	C₂²	semidirect
89. C₃×C₅×#121	C₂²	semidirect
90. C₃×C₅×#121	C₂²	semidirect
91. C₃×C₅×#121	C₂²	semidirect
92. C₃×C₅×#121	C₂²	semidirect
95. C₃×C₅×#120	C₂²	semidirect
96. C₃×C₅×#120	C₂²	semidirect
97. C₃×C₅×#120	C₂²	semidirect
98. C₃×C₅×#120	C₂²	semidirect
99. C₃×C₅×#120	C₂²	semidirect
100. C₃×C₅×#120	C₂²	semidirect
101. C₃×C₅×#120	C₂²	semidirect
102. C₃×C₄×C₅×Q₈	C₂²	semidirect
104. C₃×C₄×C₅×D₄	C₂²	semidirect
105. C₃×C₄×C₅×D₄	C₂²	semidirect
106. C₃×C₄×C₅×D₄	C₂²	semidirect
107. C₃×C₄×C₅×D₄	C₂²	semidirect
108. C₃×C₄×C₅×D₄	C₂²	semidirect
109. C₃×C₄×C₅×D₄	C₂²	semidirect
110. C₃×C₄×C₅×D₄	C₂²	semidirect
111. C₃×C₄×C₅×D₄	C₂²	semidirect
112. C₃×C₄×C₅×D₄	C₂²	semidirect
113. C₃×C₄×C₅×D₄	C₂²	semidirect
114. C₃×C₅×#117	C₂²	semidirect
115. C₃×C₅×#117	C₂²	semidirect
116. C₃×C₅×#117	C₂²	semidirect
117. C₃×C₅×#117	C₂²	semidirect
118. C₃×C₅×#117	C₂²	semidirect
119. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
120. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
121. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
122. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
123. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
124. C₃×#3542	C₅	direct (N × H)
125. C₅×#562	C₂×C₃	semidirect
126. C₅×#560	C₂×C₃	semidirect
127. C₅×#555	C₂×C₃	semidirect
128. C₅×#553	C₂×C₃	semidirect
129. C₅×#552	C₂×C₃	semidirect
130. C₅×#551	C₂×C₃	semidirect
131. C₅×#550	C₂×C₃	semidirect
132. C₅×#547	C₂×C₃	semidirect
133. C₅×#546	C₂×C₃	semidirect
134. C₅×#546	C₂×C₃	semidirect
135. C₅×#546	C₂×C₃	semidirect
136. C₅×D₄²	C₂×C₃	semidirect
137. C₅×#542	C₂×C₃	semidirect
138. C₅×#540	C₂×C₃	semidirect
139. C₅×#540	C₂×C₃	semidirect
140. C₅×#538	C₂×C₃	semidirect
141. C₅×#537	C₂×C₃	semidirect
142. C₅×#535	C₂×C₃	semidirect
143. C₅×#535	C₂×C₃	semidirect
144. C₅×#534	C₂×C₃	semidirect
145. C₅×#525	C₂×C₃	semidirect
146. C₅×#525	C₂×C₃	semidirect
147. C₂×C₅×#121	C₂×C₃	semidirect
256. C₃×#562	C₂×C₅	semidirect
257. C₃×#560	C₂×C₅	semidirect
258. C₃×#555	C₂×C₅	semidirect
259. C₃×#553	C₂×C₅	semidirect
260. C₃×#552	C₂×C₅	semidirect
261. C₃×#551	C₂×C₅	semidirect
262. C₃×#550	C₂×C₅	semidirect
263. C₃×#547	C₂×C₅	semidirect
264. C₃×#546	C₂×C₅	semidirect
265. C₃×#546	C₂×C₅	semidirect
266. C₃×#546	C₂×C₅	semidirect
267. C₃×D₄²	C₂×C₅	semidirect
268. C₃×#542	C₂×C₅	semidirect
269. C₃×#540	C₂×C₅	semidirect
270. C₃×#540	C₂×C₅	semidirect
271. C₃×#538	C₂×C₅	semidirect
272. C₃×#537	C₂×C₅	semidirect
273. C₃×#535	C₂×C₅	semidirect
274. C₃×#535	C₂×C₅	semidirect
275. C₃×#534	C₂×C₅	semidirect
276. C₃×#525	C₂×C₅	semidirect
277. C₃×#525	C₂×C₅	semidirect
278. C₂×C₃×#121	C₂×C₅	semidirect
279. C₂×C₅×#41	C₂²×C₃	semidirect
280. C₂×C₅×#41	C₂²×C₃	semidirect
281. C₂×C₅×#41	C₂²×C₃	semidirect
282. C₂×C₅×#41	C₂²×C₃	semidirect
285. C₂²×C₅×D₄	C₂²×C₃	semidirect
286. C₂²×C₅×D₄	C₂²×C₃	semidirect
287. C₂³×C₄×C₅	C₂²×C₃	semidirect
288. C₅×C₄⋊Q₈	C₂²×C₃	semidirect
289. C₅×#127	C₂²×C₃	semidirect
290. C₅×#127	C₂²×C₃	semidirect
291. C₅×#127	C₂²×C₃	semidirect
292. C₅×#126	C₂²×C₃	semidirect
293. C₅×#126	C₂²×C₃	semidirect
294. C₅×#126	C₂²×C₃	semidirect
295. C₅×#125	C₂²×C₃	semidirect
296. C₅×#125	C₂²×C₃	semidirect
297. C₅×#124	C₂²×C₃	semidirect
298. C₅×#124	C₂²×C₃	semidirect
299. C₅×#124	C₂²×C₃	semidirect
300. C₅×#124	C₂²×C₃	semidirect
301. C₅×#124	C₂²×C₃	semidirect
303. C₅×#123	C₂²×C₃	semidirect
304. C₅×#123	C₂²×C₃	semidirect
305. C₅×#123	C₂²×C₃	semidirect
306. C₅×#123	C₂²×C₃	semidirect
307. C₅×#123	C₂²×C₃	semidirect
308. C₅×#123	C₂²×C₃	semidirect
309. C₅×#123	C₂²×C₃	semidirect
310. C₅×#123	C₂²×C₃	semidirect
311. C₅×#123	C₂²×C₃	semidirect
312. C₅×#123	C₂²×C₃	semidirect
313. C₅×#123	C₂²×C₃	semidirect
314. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
315. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
316. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
317. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
318. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
319. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
320. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
321. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
326. C₅×#121	C₂²×C₃	semidirect
327. C₅×#121	C₂²×C₃	semidirect
328. C₅×#121	C₂²×C₃	semidirect
329. C₅×#121	C₂²×C₃	semidirect
330. C₅×#121	C₂²×C₃	semidirect
331. C₅×#121	C₂²×C₃	semidirect
332. C₅×#121	C₂²×C₃	semidirect
333. C₅×#121	C₂²×C₃	semidirect
334. C₅×#121	C₂²×C₃	semidirect
335. C₅×#121	C₂²×C₃	semidirect
336. C₅×#121	C₂²×C₃	semidirect
337. C₅×#121	C₂²×C₃	semidirect
338. C₅×#121	C₂²×C₃	semidirect
339. C₅×#121	C₂²×C₃	semidirect
340. C₅×#121	C₂²×C₃	semidirect
341. C₅×#121	C₂²×C₃	semidirect
342. C₅×#121	C₂²×C₃	semidirect
343. C₅×#121	C₂²×C₃	semidirect
344. C₅×#121	C₂²×C₃	semidirect
345. C₅×#121	C₂²×C₃	semidirect
346. C₅×#121	C₂²×C₃	semidirect
349. C₅×#120	C₂²×C₃	semidirect
350. C₅×#120	C₂²×C₃	semidirect
351. C₅×#120	C₂²×C₃	semidirect
352. C₅×#120	C₂²×C₃	semidirect
353. C₅×#120	C₂²×C₃	semidirect
354. C₅×#120	C₂²×C₃	semidirect
355. C₅×#120	C₂²×C₃	semidirect
356. C₄×C₅×Q₈	C₂²×C₃	semidirect
358. C₄×C₅×D₄	C₂²×C₃	semidirect
359. C₄×C₅×D₄	C₂²×C₃	semidirect
360. C₄×C₅×D₄	C₂²×C₃	semidirect
361. C₄×C₅×D₄	C₂²×C₃	semidirect
362. C₄×C₅×D₄	C₂²×C₃	semidirect
363. C₄×C₅×D₄	C₂²×C₃	semidirect
364. C₄×C₅×D₄	C₂²×C₃	semidirect
365. C₄×C₅×D₄	C₂²×C₃	semidirect
366. C₄×C₅×D₄	C₂²×C₃	semidirect
367. C₄×C₅×D₄	C₂²×C₃	semidirect
368. C₅×#117	C₂²×C₃	semidirect
369. C₅×#117	C₂²×C₃	semidirect
370. C₅×#117	C₂²×C₃	semidirect
371. C₅×#117	C₂²×C₃	semidirect
372. C₅×#117	C₂²×C₃	semidirect
373. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
374. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
375. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
376. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
377. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
378. #3542	C₃×C₅	direct (N × H)
454. C₂×C₃×#41	C₂²×C₅	semidirect
455. C₂×C₃×#41	C₂²×C₅	semidirect
456. C₂×C₃×#41	C₂²×C₅	semidirect
457. C₂×C₃×#41	C₂²×C₅	semidirect
460. C₂²×C₃×D₄	C₂²×C₅	semidirect
461. C₂²×C₃×D₄	C₂²×C₅	semidirect
462. C₂³×C₃×C₄	C₂²×C₅	semidirect
463. C₃×C₄⋊Q₈	C₂²×C₅	semidirect
464. C₃×#127	C₂²×C₅	semidirect
465. C₃×#127	C₂²×C₅	semidirect
466. C₃×#127	C₂²×C₅	semidirect
467. C₃×#126	C₂²×C₅	semidirect
468. C₃×#126	C₂²×C₅	semidirect
469. C₃×#126	C₂²×C₅	semidirect
470. C₃×#125	C₂²×C₅	semidirect
471. C₃×#125	C₂²×C₅	semidirect
472. C₃×#124	C₂²×C₅	semidirect
473. C₃×#124	C₂²×C₅	semidirect
474. C₃×#124	C₂²×C₅	semidirect
475. C₃×#124	C₂²×C₅	semidirect
476. C₃×#124	C₂²×C₅	semidirect
478. C₃×#123	C₂²×C₅	semidirect
479. C₃×#123	C₂²×C₅	semidirect
480. C₃×#123	C₂²×C₅	semidirect
481. C₃×#123	C₂²×C₅	semidirect
482. C₃×#123	C₂²×C₅	semidirect
483. C₃×#123	C₂²×C₅	semidirect
484. C₃×#123	C₂²×C₅	semidirect
485. C₃×#123	C₂²×C₅	semidirect
486. C₃×#123	C₂²×C₅	semidirect
487. C₃×#123	C₂²×C₅	semidirect
488. C₃×#123	C₂²×C₅	semidirect
489. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
490. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
491. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
492. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
493. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
494. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
495. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
496. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
501. C₃×#121	C₂²×C₅	semidirect
502. C₃×#121	C₂²×C₅	semidirect
503. C₃×#121	C₂²×C₅	semidirect
504. C₃×#121	C₂²×C₅	semidirect
505. C₃×#121	C₂²×C₅	semidirect
506. C₃×#121	C₂²×C₅	semidirect
507. C₃×#121	C₂²×C₅	semidirect
508. C₃×#121	C₂²×C₅	semidirect
509. C₃×#121	C₂²×C₅	semidirect
510. C₃×#121	C₂²×C₅	semidirect
511. C₃×#121	C₂²×C₅	semidirect
512. C₃×#121	C₂²×C₅	semidirect
513. C₃×#121	C₂²×C₅	semidirect
514. C₃×#121	C₂²×C₅	semidirect
515. C₃×#121	C₂²×C₅	semidirect
516. C₃×#121	C₂²×C₅	semidirect
517. C₃×#121	C₂²×C₅	semidirect
518. C₃×#121	C₂²×C₅	semidirect
519. C₃×#121	C₂²×C₅	semidirect
520. C₃×#121	C₂²×C₅	semidirect
521. C₃×#121	C₂²×C₅	semidirect
524. C₃×#120	C₂²×C₅	semidirect
525. C₃×#120	C₂²×C₅	semidirect
526. C₃×#120	C₂²×C₅	semidirect
527. C₃×#120	C₂²×C₅	semidirect
528. C₃×#120	C₂²×C₅	semidirect
529. C₃×#120	C₂²×C₅	semidirect
530. C₃×#120	C₂²×C₅	semidirect
531. C₃×C₄×Q₈	C₂²×C₅	semidirect
533. C₃×C₄×D₄	C₂²×C₅	semidirect
534. C₃×C₄×D₄	C₂²×C₅	semidirect
535. C₃×C₄×D₄	C₂²×C₅	semidirect
536. C₃×C₄×D₄	C₂²×C₅	semidirect
537. C₃×C₄×D₄	C₂²×C₅	semidirect
538. C₃×C₄×D₄	C₂²×C₅	semidirect
539. C₃×C₄×D₄	C₂²×C₅	semidirect
540. C₃×C₄×D₄	C₂²×C₅	semidirect
541. C₃×C₄×D₄	C₂²×C₅	semidirect
542. C₃×C₄×D₄	C₂²×C₅	semidirect
543. C₃×#117	C₂²×C₅	semidirect
544. C₃×#117	C₂²×C₅	semidirect
545. C₃×#117	C₂²×C₅	semidirect
546. C₃×#117	C₂²×C₅	semidirect
547. C₃×#117	C₂²×C₅	semidirect
548. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
549. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
550. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
551. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
552. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
661. #562	C₂×C₃×C₅	semidirect
662. #560	C₂×C₃×C₅	semidirect
663. #555	C₂×C₃×C₅	semidirect
664. #553	C₂×C₃×C₅	semidirect
665. #552	C₂×C₃×C₅	semidirect
666. #551	C₂×C₃×C₅	semidirect
667. #550	C₂×C₃×C₅	semidirect
668. #547	C₂×C₃×C₅	semidirect
669. #546	C₂×C₃×C₅	semidirect
670. #546	C₂×C₃×C₅	semidirect
671. #546	C₂×C₃×C₅	semidirect
672. D₄²	C₂×C₃×C₅	semidirect
673. #542	C₂×C₃×C₅	semidirect
674. #540	C₂×C₃×C₅	semidirect
675. #540	C₂×C₃×C₅	semidirect
676. #538	C₂×C₃×C₅	semidirect
677. #537	C₂×C₃×C₅	semidirect
678. #535	C₂×C₃×C₅	semidirect
679. #535	C₂×C₃×C₅	semidirect
680. #534	C₂×C₃×C₅	semidirect
681. #525	C₂×C₃×C₅	semidirect
682. #525	C₂×C₃×C₅	semidirect
683. C₂×#121	C₂×C₃×C₅	semidirect
910. C₂×#41	C₂²×C₃×C₅	semidirect
911. C₂×#41	C₂²×C₃×C₅	semidirect
912. C₂×#41	C₂²×C₃×C₅	semidirect
913. C₂×#41	C₂²×C₃×C₅	semidirect
916. C₂²×D₄	C₂²×C₃×C₅	semidirect
917. C₂²×D₄	C₂²×C₃×C₅	semidirect
918. C₂³×C₄	C₂²×C₃×C₅	semidirect
919. C₄⋊Q₈	C₂²×C₃×C₅	semidirect
920. #127	C₂²×C₃×C₅	semidirect
921. #127	C₂²×C₃×C₅	semidirect
922. #127	C₂²×C₃×C₅	semidirect
923. #126	C₂²×C₃×C₅	semidirect
924. #126	C₂²×C₃×C₅	semidirect
925. #126	C₂²×C₃×C₅	semidirect
926. #125	C₂²×C₃×C₅	semidirect
927. #125	C₂²×C₃×C₅	semidirect
928. #124	C₂²×C₃×C₅	semidirect
929. #124	C₂²×C₃×C₅	semidirect
930. #124	C₂²×C₃×C₅	semidirect
931. #124	C₂²×C₃×C₅	semidirect
932. #124	C₂²×C₃×C₅	semidirect
934. #123	C₂²×C₃×C₅	semidirect
935. #123	C₂²×C₃×C₅	semidirect
936. #123	C₂²×C₃×C₅	semidirect
937. #123	C₂²×C₃×C₅	semidirect
938. #123	C₂²×C₃×C₅	semidirect
939. #123	C₂²×C₃×C₅	semidirect
940. #123	C₂²×C₃×C₅	semidirect
941. #123	C₂²×C₃×C₅	semidirect
942. #123	C₂²×C₃×C₅	semidirect
943. #123	C₂²×C₃×C₅	semidirect
944. #123	C₂²×C₃×C₅	semidirect
945. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
946. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
947. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
948. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
949. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
950. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
951. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
952. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
957. #121	C₂²×C₃×C₅	semidirect
958. #121	C₂²×C₃×C₅	semidirect
959. #121	C₂²×C₃×C₅	semidirect
960. #121	C₂²×C₃×C₅	semidirect
961. #121	C₂²×C₃×C₅	semidirect
962. #121	C₂²×C₃×C₅	semidirect
963. #121	C₂²×C₃×C₅	semidirect
964. #121	C₂²×C₃×C₅	semidirect
965. #121	C₂²×C₃×C₅	semidirect
966. #121	C₂²×C₃×C₅	semidirect
967. #121	C₂²×C₃×C₅	semidirect
968. #121	C₂²×C₃×C₅	semidirect
969. #121	C₂²×C₃×C₅	semidirect
970. #121	C₂²×C₃×C₅	semidirect
971. #121	C₂²×C₃×C₅	semidirect
972. #121	C₂²×C₃×C₅	semidirect
973. #121	C₂²×C₃×C₅	semidirect
974. #121	C₂²×C₃×C₅	semidirect
975. #121	C₂²×C₃×C₅	semidirect
976. #121	C₂²×C₃×C₅	semidirect
977. #121	C₂²×C₃×C₅	semidirect
980. #120	C₂²×C₃×C₅	semidirect
981. #120	C₂²×C₃×C₅	semidirect
982. #120	C₂²×C₃×C₅	semidirect
983. #120	C₂²×C₃×C₅	semidirect
984. #120	C₂²×C₃×C₅	semidirect
985. #120	C₂²×C₃×C₅	semidirect
986. #120	C₂²×C₃×C₅	semidirect
987. C₄×Q₈	C₂²×C₃×C₅	semidirect
989. C₄×D₄	C₂²×C₃×C₅	semidirect
990. C₄×D₄	C₂²×C₃×C₅	semidirect
991. C₄×D₄	C₂²×C₃×C₅	semidirect
992. C₄×D₄	C₂²×C₃×C₅	semidirect
993. C₄×D₄	C₂²×C₃×C₅	semidirect
994. C₄×D₄	C₂²×C₃×C₅	semidirect
995. C₄×D₄	C₂²×C₃×C₅	semidirect
996. C₄×D₄	C₂²×C₃×C₅	semidirect
997. C₄×D₄	C₂²×C₃×C₅	semidirect
998. C₄×D₄	C₂²×C₃×C₅	semidirect
999. #117	C₂²×C₃×C₅	semidirect
1000. #117	C₂²×C₃×C₅	semidirect
1001. #117	C₂²×C₃×C₅	semidirect
1002. #117	C₂²×C₃×C₅	semidirect
1003. #117	C₂²×C₃×C₅	semidirect
1004. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
1005. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
1006. C₂×C₂²⋊C₄	C₂²×C₃×C₅	semidirect
1007. C₂×C₂²⋊C₄	C₂²×C₃×C₅	semidirect
1008. C₂×C₂²⋊C₄	C₂²×C₃×C₅	semidirect
1246. C₃×C₅	#3542	direct (N × H)
1387. C₅	C₃×#3542	direct (N × H)
1431. C₃	C₅×#3542	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×#562	2
C₃×C₅×#560	2
C₃×C₅×#555	2
C₃×C₅×#553	2
C₃×C₅×#552	2
C₃×C₅×#551	2
C₃×C₅×#550	2
C₃×C₅×#547	2
C₃×C₅×#546	2
C₃×C₅×D₄²	2
C₃×C₅×#542	2
C₃×C₅×#540	2
C₃×C₅×#538	2
C₃×C₅×#537	2
C₃×C₅×#535	2
C₃×C₅×#534	2
C₃×C₅×#525	2
C₂×C₃×C₅×#121	2
C₅×#3542	3
C₃×#3542	5

Subgroups — C3×C5×#3542 #14276576

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#3542 #14276576