Subgroups — C₅×D₃×#542 #14481298

Order 1920.

2264 conjugacy classes of subgroups.

The subgroup lattice has 1332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5733	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×D₃×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#5710	C₂	1	2	yes	maximal, complemented
5	C₅×D₃×#126	C₂	1	2	yes	maximal, complemented
6	C₅×#5682	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×D₃×#124	C₂	1	2	yes	maximal, complemented
8	C₅×D₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#5669	C₂	1	2	yes	maximal, complemented
10	C₅×#5662	C₂	1	2	yes	maximal, complemented
11	C₅×D₃×#123	C₂	1	2	yes	maximal, complemented
12	C₅×#5643	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#5640	C₂	1	2	yes	maximal, complemented
14	C₅×D₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×D₃×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
16	C₅×D₃×#121	C₂	1	1	yes	maximal, characteristic
17	C₅×#5603	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#5582	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×C₅×D₃×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#5561	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₅×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#5534	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₅×#542	—	3	1	no	maximal, Hall
25	C₂×C₅×D₃×Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₅×D₃×Q₈	C₂²	1	2	yes	—
27	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic
28	C₂×C₅×D₃×D₄	C₂²	1	2	yes	—
29	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
30	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	—
31	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
32	C₃×C₅×#126	C₂²	1	2	yes	complemented
33	C₃×C₅×#124	C₂²	1	2	yes	complemented
34	C₃×C₅×#124	C₂²	1	1	yes	characteristic, complemented
35	C₃×C₅×#123	C₂²	1	2	yes	complemented
36	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
37	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₃×C₅×#121	C₂²	1	1	yes	characteristic
39	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
41	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
42	C₅×#947	C₂²	1	2	yes	complemented
43	C₅×#947	C₂²	1	1	yes	characteristic, complemented
44	C₅×#946	C₂²	1	2	yes	complemented
45	C₅×#946	C₂²	1	1	yes	characteristic, complemented
46	C₅×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
47	C₅×#944	C₂²	1	2	yes	complemented
48	C₅×#939	C₂²	1	2	yes	—
49	C₅×#938	C₂²	1	1	yes	characteristic
50	C₅×#936	C₂²	1	2	yes	complemented
51	C₅×#936	C₂²	1	1	yes	characteristic, complemented
52	C₅×#935	C₂²	1	2	yes	complemented
53	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
54	C₅×#930	C₂²	1	1	yes	characteristic
55	C₅×#929	C₂²	1	2	yes	complemented
56	C₄×C₅×#67	C₂²	1	2	yes	complemented
57	C₅×#926	C₂²	1	1	yes	characteristic, complemented
58	C₅×#924	C₂²	1	2	yes	complemented
59	C₅×#924	C₂²	1	1	yes	characteristic, complemented
60	C₅×#898	C₂²	1	2	yes	complemented
61	C₅×#898	C₂²	1	2	yes	complemented
62	C₅×#898	C₂²	1	2	yes	complemented
63	C₅×#897	C₂²	1	2	yes	complemented
64	C₅×#897	C₂²	1	1	yes	characteristic, complemented
65	C₅×#896	C₂²	1	2	yes	complemented
66	C₅×#896	C₂²	1	2	yes	complemented
67	C₅×#896	C₂²	1	2	yes	complemented
68	C₅×#895	C₂²	1	1	yes	characteristic
69	C₅×#894	C₂²	1	2	yes	complemented
70	C₅×#894	C₂²	1	2	yes	complemented
71	C₅×#893	C₂²	1	1	yes	characteristic, complemented
72	C₅×#892	C₂²	1	1	yes	characteristic, complemented
73	C₅×#892	C₂²	1	1	yes	characteristic, complemented
74	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
75	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
76	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
77	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
78	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
79	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
80	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
81	C₅×#888	C₂²	1	2	yes	complemented
82	C₅×#888	C₂²	1	1	yes	characteristic, complemented
83	C₅×#888	C₂²	1	1	yes	characteristic, complemented
84	C₅×#887	C₂²	1	2	yes	complemented
85	C₅×#887	C₂²	1	1	yes	characteristic, complemented
86	C₅×#886	C₂²	1	2	yes	complemented
87	C₅×#885	C₂²	1	2	yes	complemented
88	C₅×#885	C₂²	1	2	yes	complemented
89	C₅×#885	C₂²	1	2	yes	complemented
90	C₅×#885	C₂²	1	2	yes	complemented
91	C₅×#885	C₂²	1	2	yes	complemented
92	C₅×#885	C₂²	1	2	yes	complemented
93	C₅×#884	C₂²	1	2	yes	—
94	C₅×#883	C₂²	1	2	yes	complemented
95	C₅×#883	C₂²	1	2	yes	complemented
96	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
97	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
98	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
99	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
100	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
101	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
102	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
103	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
104	C₅×#879	C₂²	1	2	yes	complemented
105	C₅×#879	C₂²	1	2	yes	complemented
106	C₅×#879	C₂²	1	2	yes	complemented
107	C₅×#878	C₂²	1	2	yes	complemented
108	C₅×#878	C₂²	1	2	yes	complemented
109	C₅×#878	C₂²	1	2	yes	complemented
110	C₅×#877	C₂²	1	1	yes	characteristic, complemented
111	C₅×#877	C₂²	1	1	yes	characteristic, complemented
112	C₅×#876	C₂²	1	2	yes	complemented
113	C₅×#875	C₂²	1	2	yes	complemented
114	C₅×#875	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
116	C₅×#872	C₂²	1	1	yes	characteristic, complemented
117	C₅×#872	C₂²	1	1	yes	characteristic, complemented
118	C₄²×C₅×D₃	C₂²	1	2	yes	—
119	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
120	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
121	C₅×#869	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₅×Dic₆	C₂²	1	2	yes	complemented
123	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
124	D₃×#542	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
125	C₅×#542	—	3	1	no	—
126	C₅×#542	—	3	2	no	—
127	C₅×#542	—	3	2	no	—
128	C₅×#542	—	3	1	no	—
129	C₅×#542	—	3	2	no	—
130	C₅×#542	—	3	2	no	—
131	C₅×#542	—	3	1	no	—
132	C₅×#542	—	3	1	no	—
133	C₅×#542	—	3	1	no	—
134	C₅×#542	—	3	1	no	—
135	C₅×#542	—	3	1	no	—
136	C₅×#542	D₃	1	1	yes	characteristic, direct product factor
137	C₂×C₅×C₄⋊Q₈	—	3	1	no	—
138	C₂×C₅×#126	—	3	2	no	—
139	C₂×C₅×#124	—	3	1	no	—
140	C₂×C₅×#124	—	3	2	no	—
141	C₂×C₅×#123	—	3	2	no	—
142	C₂×C₅×C₂²⋊Q₈	—	3	2	no	—
143	C₂×C₅×C₂²⋊Q₈	—	3	1	no	—
144	C₂×C₅×#121	—	3	1	no	—
145	C₂×C₄×C₅×Q₈	—	3	1	no	—
146	C₂×C₄×C₅×D₄	—	3	1	no	—
147	C₂×C₅×#117	—	3	1	no	—
148	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
149	C₂³×C₅×D₃	C₂³	1	2	yes	—
150	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
151	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
152	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
153	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
154	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
155	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
156	C₂×C₅×#67	C₂³	1	2	yes	—
157	C₂×C₅×#67	C₂³	1	2	yes	—
158	C₂×C₅×#67	C₂³	1	2	yes	—
159	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
160	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
161	C₅×D₃×Q₈	—	2	4	no	—
162	C₅×D₃×Q₈	—	4	4	no	—
163	C₅×D₃×D₄	—	2	4	no	—
164	C₅×D₃×D₄	—	4	4	no	—
165	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
166	C₂×C₅×D₁₂	C₂³	1	2	yes	—
167	C₂×C₄×C₅×D₃	—	2	4	no	—
168	C₂×C₄×C₅×D₃	—	4	4	no	—
169	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
170	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
171	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
172	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
173	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
174	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
175	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
176	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
177	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
178	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
179	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
180	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
181	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
182	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
183	C₂×C₅×Dic₆	C₂³	1	2	yes	—
184	C₂×C₅×Dic₆	C₂³	1	2	yes	—
185	C₂×C₅×Dic₆	C₂³	1	2	yes	—
186	C₂×C₅×Dic₆	C₂³	1	2	yes	—
187	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
188	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
189	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
195	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
196	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
202	C₃×C₄²×C₅	C₂³	1	2	yes	—
203	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
204	C₅×#217	C₂³	1	1	yes	characteristic
205	C₅×#217	C₂³	1	1	yes	characteristic
206	C₅×#217	C₂³	1	2	yes	—
207	C₅×#217	C₂³	1	2	yes	—
208	C₅×#217	C₂³	1	2	yes	—
209	C₅×#217	C₂³	1	2	yes	—
210	C₅×#217	C₂³	1	2	yes	—
211	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
212	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
213	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
214	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
215	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
216	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
217	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
218	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
219	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
220	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
221	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
222	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
223	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
224	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
225	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
226	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
227	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
228	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
229	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
230	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
231	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
232	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
233	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
234	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
235	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
236	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
237	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
238	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
239	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
240	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
241	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
242	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
243	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
244	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
245	C₄×C₅×Dic₃	C₂³	1	2	yes	—
246	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
247	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
248	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
249	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
250	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
251	C₄×C₅×Dic₃	C₂³	1	2	yes	—
252	C₄×C₅×Dic₃	C₂³	1	2	yes	—
253	C₃×#542	C₂×C₅	1	1	yes	characteristic, complemented
254	#5733	C₂×C₅	1	1	yes	characteristic, complemented
255	D₃×C₄⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
256	#5710	C₂×C₅	1	2	yes	complemented
257	D₃×#126	C₂×C₅	1	2	yes	complemented
258	#5682	C₂×C₅	1	1	yes	characteristic, complemented
259	D₃×#124	C₂×C₅	1	2	yes	complemented
260	D₃×#124	C₂×C₅	1	1	yes	characteristic, complemented
261	#5669	C₂×C₅	1	2	yes	complemented
262	#5662	C₂×C₅	1	2	yes	complemented
263	D₃×#123	C₂×C₅	1	2	yes	complemented
264	#5643	C₂×C₅	1	1	yes	characteristic, complemented
265	#5640	C₂×C₅	1	2	yes	complemented
266	D₃×C₂²⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
267	D₃×C₂²⋊Q₈	C₂×C₅	1	2	yes	complemented
268	D₃×#121	C₂×C₅	1	1	yes	characteristic
269	#5603	C₂×C₅	1	1	yes	characteristic, complemented
270	#5582	C₂×C₅	1	1	yes	characteristic, complemented
271	C₄×D₃×Q₈	C₂×C₅	1	1	yes	characteristic, complemented
272	#5561	C₂×C₅	1	1	yes	characteristic, complemented
273	C₄×D₃×D₄	C₂×C₅	1	1	yes	characteristic, complemented
274	#5534	C₂×C₅	1	1	yes	characteristic, complemented
275	D₃×#117	C₂×C₅	1	1	yes	characteristic, complemented
276	C₂²×C₅×Q₈	—	3	1	no	—
277	C₂²×C₅×Q₈	—	3	2	no	—
278	C₂²×C₅×D₄	—	3	1	no	—
279	C₂²×C₅×D₄	—	3	2	no	—
280	C₂³×C₄×C₅	—	3	1	no	—
281	C₂³×C₄×C₅	—	3	2	no	—
282	C₅×C₄⋊Q₈	—	3	2	no	—
283	C₅×C₄⋊Q₈	—	3	2	no	—
284	C₅×C₄⋊Q₈	—	3	1	no	—
285	C₅×C₄⋊Q₈	—	3	1	no	—
286	C₅×C₄⋊Q₈	—	3	1	no	—
287	C₅×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
288	C₅×#126	—	3	2	no	—
289	C₅×#126	—	3	2	no	—
290	C₅×#126	—	3	2	no	—
291	C₅×#126	—	3	2	no	—
292	C₅×#126	—	3	2	no	—
293	C₅×#126	—	3	2	no	—
294	C₅×#126	—	3	2	no	—
295	C₅×#126	C₂×D₃	1	2	yes	complemented
296	C₅×#124	—	3	1	no	—
297	C₅×#124	—	3	2	no	—
298	C₅×#124	—	3	1	no	—
299	C₅×#124	—	3	2	no	—
300	C₅×#124	—	3	2	no	—
301	C₅×#124	—	3	2	no	—
302	C₅×#124	—	3	2	no	—
303	C₅×#124	—	3	2	no	—
304	C₅×#124	—	3	2	no	—
305	C₅×#124	—	3	2	no	—
306	C₅×#124	—	3	1	no	—
307	C₅×#124	—	3	2	no	—
308	C₅×#124	C₂×D₃	1	1	yes	characteristic, complemented
309	C₅×#124	C₂×D₃	1	2	yes	complemented
310	C₅×#123	—	3	2	no	—
311	C₅×#123	—	3	2	no	—
312	C₅×#123	—	3	2	no	—
313	C₅×#123	—	3	2	no	—
314	C₅×#123	—	3	2	no	—
315	C₅×#123	—	3	2	no	—
316	C₅×#123	—	3	2	no	—
317	C₅×#123	C₂×D₃	1	2	yes	complemented
318	C₅×C₂²⋊Q₈	—	3	2	no	—
319	C₅×C₂²⋊Q₈	—	3	1	no	—
320	C₅×C₂²⋊Q₈	—	3	2	no	—
321	C₅×C₂²⋊Q₈	—	3	1	no	—
322	C₅×C₂²⋊Q₈	—	3	2	no	—
323	C₅×C₂²⋊Q₈	—	3	2	no	—
324	C₅×C₂²⋊Q₈	—	3	2	no	—
325	C₅×C₂²⋊Q₈	—	3	2	no	—
326	C₅×C₂²⋊Q₈	—	3	1	no	—
327	C₅×C₂²⋊Q₈	—	3	2	no	—
328	C₅×C₂²⋊Q₈	—	3	2	no	—
329	C₅×C₂²⋊Q₈	—	3	2	no	—
330	C₅×C₂²⋊Q₈	C₂×D₃	1	2	yes	complemented
331	C₅×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
332	C₅×#121	—	3	1	no	—
333	C₅×#121	—	3	2	no	—
334	C₅×#121	—	3	1	no	—
335	C₅×#121	—	3	1	no	—
336	C₅×#121	—	3	2	no	—
337	C₅×#121	C₂×D₃	1	1	yes	characteristic
338	C₄×C₅×Q₈	—	3	1	no	—
339	C₄×C₅×Q₈	—	3	2	no	—
340	C₄×C₅×Q₈	—	3	1	no	—
341	C₄×C₅×Q₈	—	3	2	no	—
342	C₄×C₅×Q₈	—	3	1	no	—
343	C₄×C₅×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
344	C₄×C₅×D₄	—	3	1	no	—
345	C₄×C₅×D₄	—	3	2	no	—
346	C₄×C₅×D₄	—	3	1	no	—
347	C₄×C₅×D₄	—	3	2	no	—
348	C₄×C₅×D₄	—	3	1	no	—
349	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
350	C₅×#117	—	3	1	no	—
351	C₅×#117	—	3	1	no	—
352	C₅×#117	—	3	1	no	—
353	C₅×#117	—	3	1	no	—
354	C₅×#117	—	3	1	no	—
355	C₅×#117	—	3	1	no	—
356	C₅×#117	—	3	1	no	—
357	C₅×#117	C₂×D₃	1	1	yes	characteristic, complemented
358	C₂×C₅×C₄⋊C₄	—	3	1	no	—
359	C₂×C₅×C₄⋊C₄	—	3	1	no	—
360	C₂×C₅×C₄⋊C₄	—	3	1	no	—
361	C₂×C₅×C₄⋊C₄	—	3	1	no	—
362	C₂×C₅×C₄⋊C₄	—	3	2	no	—
363	C₂×C₅×C₄⋊C₄	—	3	2	no	—
364	C₂×C₅×C₄⋊C₄	—	3	2	no	—
365	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
366	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
367	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
368	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
369	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
370	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
371	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
372	C₂×C₄²×C₅	—	3	1	no	—
373	C₂×C₄²×C₅	—	3	1	no	—
374	C₂×C₄²×C₅	—	3	2	no	—
375	C₂×#542	—	3	1	no	Sylow
376	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
377	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
378	C₂²×C₅×D₃	—	2	2	no	—
379	C₂²×C₅×D₃	—	2	4	no	—
380	C₂²×C₅×D₃	—	2	4	no	—
381	C₂²×C₅×D₃	—	2	2	no	—
382	C₂²×C₅×D₃	—	2	2	no	—
383	C₂²×C₅×D₃	—	2	4	no	—
384	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
386	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
387	C₃×C₅×Q₈	—	2	2	no	—
388	C₃×C₅×Q₈	—	4	2	no	—
389	C₃×C₅×D₄	—	2	2	no	—
390	C₃×C₅×D₄	—	4	2	no	—
391	C₂×C₃×C₄×C₅	—	2	2	no	—
392	C₂×C₃×C₄×C₅	—	4	2	no	—
393	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
394	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
395	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
397	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
398	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
400	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
401	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
402	C₅×#67	—	2	4	no	—
403	C₅×#67	—	4	2	no	—
404	C₅×#67	—	4	2	no	—
405	C₂×C₅×Dic₃	—	2	2	no	—
406	C₂×C₅×Dic₃	—	4	2	no	—
407	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
408	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
410	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
411	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
412	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
413	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
415	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
416	C₅×D₁₂	—	2	2	no	—
417	C₅×D₁₂	—	4	2	no	—
418	C₄×C₅×D₃	—	2	2	no	—
419	C₄×C₅×D₃	—	2	4	no	—
420	C₄×C₅×D₃	—	2	2	no	—
421	C₄×C₅×D₃	—	2	4	no	—
422	C₄×C₅×D₃	—	2	4	no	—
423	C₄×C₅×D₃	—	2	2	no	—
424	C₄×C₅×D₃	—	2	2	no	—
425	C₄×C₅×D₃	—	2	2	no	—
426	C₄×C₅×D₃	—	2	2	no	—
427	C₄×C₅×D₃	—	2	2	no	—
428	C₄×C₅×D₃	—	4	2	no	—
429	C₄×C₅×D₃	—	4	2	no	—
430	C₄×C₅×D₃	#41	1	4	yes	—
431	C₅×Dic₆	—	2	2	no	—
432	C₅×Dic₆	—	2	4	no	—
433	C₅×Dic₆	—	4	2	no	—
434	C₅×Dic₆	—	4	2	no	—
435	C₅×Dic₆	—	4	2	no	—
436	C₂×D₃×Q₈	C₂²×C₅	1	1	yes	characteristic
437	C₂×D₃×Q₈	C₂²×C₅	1	2	yes	—
438	C₂×D₃×D₄	C₂²×C₅	1	1	yes	characteristic
439	C₂×D₃×D₄	C₂²×C₅	1	2	yes	—
440	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
441	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	—
442	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
443	C₃×#126	C₂²×C₅	1	2	yes	complemented
444	C₃×#124	C₂²×C₅	1	2	yes	complemented
445	C₃×#124	C₂²×C₅	1	1	yes	characteristic, complemented
446	C₃×#123	C₂²×C₅	1	2	yes	complemented
447	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	complemented
448	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
449	C₃×#121	C₂²×C₅	1	1	yes	characteristic
450	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
451	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
452	C₃×#117	C₂²×C₅	1	1	yes	characteristic, complemented
453	#947	C₂²×C₅	1	2	yes	complemented
454	#947	C₂²×C₅	1	1	yes	characteristic, complemented
455	#946	C₂²×C₅	1	2	yes	complemented
456	#946	C₂²×C₅	1	1	yes	characteristic, complemented
457	Q₈×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
458	#944	C₂²×C₅	1	2	yes	complemented
459	#939	C₂²×C₅	1	2	yes	—
460	#938	C₂²×C₅	1	1	yes	characteristic
461	#936	C₂²×C₅	1	2	yes	complemented
462	#936	C₂²×C₅	1	1	yes	characteristic, complemented
463	#935	C₂²×C₅	1	2	yes	complemented
464	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
465	#930	C₂²×C₅	1	1	yes	characteristic
466	#929	C₂²×C₅	1	2	yes	complemented
467	C₄×#67	C₂²×C₅	1	2	yes	complemented
468	#926	C₂²×C₅	1	1	yes	characteristic, complemented
469	#924	C₂²×C₅	1	2	yes	complemented
470	#924	C₂²×C₅	1	1	yes	characteristic, complemented
471	#898	C₂²×C₅	1	2	yes	complemented
472	#898	C₂²×C₅	1	2	yes	complemented
473	#898	C₂²×C₅	1	2	yes	complemented
474	#897	C₂²×C₅	1	2	yes	complemented
475	#897	C₂²×C₅	1	1	yes	characteristic, complemented
476	#896	C₂²×C₅	1	2	yes	complemented
477	#896	C₂²×C₅	1	2	yes	complemented
478	#896	C₂²×C₅	1	2	yes	complemented
479	#895	C₂²×C₅	1	1	yes	characteristic
480	#894	C₂²×C₅	1	2	yes	complemented
481	#894	C₂²×C₅	1	2	yes	complemented
482	#893	C₂²×C₅	1	1	yes	characteristic, complemented
483	#892	C₂²×C₅	1	1	yes	characteristic, complemented
484	#892	C₂²×C₅	1	1	yes	characteristic, complemented
485	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
486	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
487	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
488	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
489	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
490	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
491	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
492	#888	C₂²×C₅	1	1	yes	characteristic, complemented
493	#888	C₂²×C₅	1	2	yes	complemented
494	#888	C₂²×C₅	1	1	yes	characteristic, complemented
495	#887	C₂²×C₅	1	2	yes	complemented
496	#887	C₂²×C₅	1	1	yes	characteristic, complemented
497	#886	C₂²×C₅	1	2	yes	complemented
498	#885	C₂²×C₅	1	2	yes	complemented
499	#885	C₂²×C₅	1	2	yes	complemented
500	#885	C₂²×C₅	1	2	yes	complemented
501	#885	C₂²×C₅	1	2	yes	complemented
502	#885	C₂²×C₅	1	2	yes	complemented
503	#885	C₂²×C₅	1	2	yes	complemented
504	#884	C₂²×C₅	1	2	yes	—
505	#883	C₂²×C₅	1	2	yes	complemented
506	#883	C₂²×C₅	1	2	yes	complemented
507	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
508	D₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
509	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
510	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
511	D₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
512	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
513	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
514	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
515	#879	C₂²×C₅	1	2	yes	complemented
516	#879	C₂²×C₅	1	2	yes	complemented
517	#879	C₂²×C₅	1	2	yes	complemented
518	#878	C₂²×C₅	1	2	yes	complemented
519	#878	C₂²×C₅	1	2	yes	complemented
520	#878	C₂²×C₅	1	2	yes	complemented
521	#877	C₂²×C₅	1	1	yes	characteristic, complemented
522	#877	C₂²×C₅	1	1	yes	characteristic, complemented
523	#876	C₂²×C₅	1	2	yes	complemented
524	#875	C₂²×C₅	1	2	yes	complemented
525	#875	C₂²×C₅	1	1	yes	characteristic, complemented
526	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
527	#872	C₂²×C₅	1	1	yes	characteristic, complemented
528	#872	C₂²×C₅	1	1	yes	characteristic, complemented
529	C₄²×D₃	C₂²×C₅	1	2	yes	—
530	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
531	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
532	#869	C₂²×C₅	1	1	yes	characteristic, complemented
533	C₄×Dic₆	C₂²×C₅	1	2	yes	complemented
534	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
535	C₂⁴×C₅	—	3	1	no	—
536	C₂⁴×C₅	—	3	2	no	—
537	C₂×C₅×Q₈	—	3	2	no	—
538	C₂×C₅×Q₈	—	3	1	no	—
539	C₂×C₅×Q₈	—	3	2	no	—
540	C₂×C₅×Q₈	—	3	2	no	—
541	C₂×C₅×Q₈	—	3	2	no	—
542	C₂×C₅×Q₈	—	6	4	no	—
543	C₂×C₅×Q₈	—	12	4	no	—
544	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
545	C₂×C₅×Q₈	C₂²×D₃	1	2	yes	—
546	C₂×C₅×D₄	—	3	2	no	—
547	C₂×C₅×D₄	—	3	2	no	—
548	C₂×C₅×D₄	—	3	2	no	—
549	C₂×C₅×D₄	—	3	1	no	—
550	C₂×C₅×D₄	—	3	2	no	—
551	C₂×C₅×D₄	—	6	4	no	—
552	C₂×C₅×D₄	—	12	4	no	—
553	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
554	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
555	C₂²×C₄×C₅	—	3	1	no	—
556	C₂²×C₄×C₅	—	3	1	no	—
557	C₂²×C₄×C₅	—	3	2	no	—
558	C₂²×C₄×C₅	—	3	1	no	—
559	C₂²×C₄×C₅	—	3	1	no	—
560	C₂²×C₄×C₅	—	3	2	no	—
561	C₂²×C₄×C₅	—	3	1	no	—
562	C₂²×C₄×C₅	—	3	1	no	—
563	C₂²×C₄×C₅	—	3	2	no	—
564	C₂²×C₄×C₅	—	3	1	no	—
565	C₂²×C₄×C₅	—	3	2	no	—
566	C₂²×C₄×C₅	—	3	1	no	—
567	C₂²×C₄×C₅	—	3	1	no	—
568	C₂²×C₄×C₅	—	3	2	no	—
569	C₂²×C₄×C₅	—	3	2	no	—
570	C₂²×C₄×C₅	—	6	4	no	—
571	C₂²×C₄×C₅	—	12	4	no	—
572	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
573	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
574	C₅×C₄⋊C₄	—	3	1	no	—
575	C₅×C₄⋊C₄	—	3	1	no	—
576	C₅×C₄⋊C₄	—	3	1	no	—
577	C₅×C₄⋊C₄	—	3	1	no	—
578	C₅×C₄⋊C₄	—	3	1	no	—
579	C₅×C₄⋊C₄	—	3	1	no	—
580	C₅×C₄⋊C₄	—	3	2	no	—
581	C₅×C₄⋊C₄	—	3	1	no	—
582	C₅×C₄⋊C₄	—	3	2	no	—
583	C₅×C₄⋊C₄	—	3	1	no	—
584	C₅×C₄⋊C₄	—	3	2	no	—
585	C₅×C₄⋊C₄	—	3	2	no	—
586	C₅×C₄⋊C₄	—	3	2	no	—
587	C₅×C₄⋊C₄	—	3	2	no	—
588	C₅×C₄⋊C₄	—	3	2	no	—
589	C₅×C₄⋊C₄	—	3	2	no	—
590	C₅×C₄⋊C₄	—	3	2	no	—
591	C₅×C₄⋊C₄	—	3	2	no	—
592	C₅×C₄⋊C₄	—	3	2	no	—
593	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
598	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
599	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
600	C₅×C₂²⋊C₄	—	3	1	no	—
601	C₅×C₂²⋊C₄	—	3	1	no	—
602	C₅×C₂²⋊C₄	—	3	2	no	—
603	C₅×C₂²⋊C₄	—	3	2	no	—
604	C₅×C₂²⋊C₄	—	3	2	no	—
605	C₅×C₂²⋊C₄	—	3	2	no	—
606	C₅×C₂²⋊C₄	—	3	2	no	—
607	C₅×C₂²⋊C₄	—	3	1	no	—
608	C₅×C₂²⋊C₄	—	3	1	no	—
609	C₅×C₂²⋊C₄	—	3	1	no	—
610	C₅×C₂²⋊C₄	—	3	1	no	—
611	C₅×C₂²⋊C₄	—	3	2	no	—
612	C₅×C₂²⋊C₄	—	3	2	no	—
613	C₅×C₂²⋊C₄	—	3	2	no	—
614	C₅×C₂²⋊C₄	—	3	2	no	—
615	C₅×C₂²⋊C₄	—	3	2	no	—
616	C₅×C₂²⋊C₄	—	3	2	no	—
617	C₅×C₂²⋊C₄	—	3	2	no	—
618	C₅×C₂²⋊C₄	—	3	2	no	—
619	C₅×C₂²⋊C₄	—	3	2	no	—
620	C₅×C₂²⋊C₄	—	3	2	no	—
621	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
622	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
623	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
624	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
625	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
626	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
627	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
628	C₄²×C₅	—	3	1	no	—
629	C₄²×C₅	—	3	1	no	—
630	C₄²×C₅	—	3	1	no	—
631	C₄²×C₅	—	3	1	no	—
632	C₄²×C₅	—	3	1	no	—
633	C₄²×C₅	—	3	1	no	—
634	C₄²×C₅	—	3	2	no	—
635	C₄²×C₅	—	3	2	no	—
636	C₄²×C₅	—	3	2	no	—
637	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
638	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
639	C₄²×C₅	C₂²×D₃	1	2	yes	—
640	#542	—	3	1	no	—
641	#542	—	3	2	no	—
642	#542	—	3	2	no	—
643	#542	—	3	1	no	—
644	#542	—	3	2	no	—
645	#542	—	3	2	no	—
646	#542	—	3	1	no	—
647	#542	—	3	1	no	—
648	#542	—	3	1	no	—
649	#542	—	3	1	no	—
650	#542	—	3	1	no	—
651	#542	C₅×D₃	1	1	yes	characteristic, direct product factor
652	C₂×C₄⋊Q₈	—	3	1	no	—
653	C₂×#126	—	3	2	no	—
654	C₂×#124	—	3	1	no	—
655	C₂×#124	—	3	2	no	—
656	C₂×#123	—	3	2	no	—
657	C₂×C₂²⋊Q₈	—	3	2	no	—
658	C₂×C₂²⋊Q₈	—	3	1	no	—
659	C₂×#121	—	3	1	no	—
660	C₂×C₄×Q₈	—	3	1	no	—
661	C₂×C₄×D₄	—	3	1	no	—
662	C₂×#117	—	3	1	no	—
663	C₂²×C₃×C₅	—	2	1	no	—
664	C₂²×C₃×C₅	—	2	2	no	—
665	C₂²×C₃×C₅	—	2	2	no	—
666	C₂²×C₃×C₅	—	2	1	no	—
667	C₂²×C₃×C₅	—	2	1	no	—
668	C₂²×C₃×C₅	—	2	2	no	—
669	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
670	C₂×C₅×D₃	—	2	1	no	—
671	C₂×C₅×D₃	—	2	2	no	—
672	C₂×C₅×D₃	—	2	2	no	—
673	C₂×C₅×D₃	—	2	1	no	—
674	C₂×C₅×D₃	—	2	1	no	—
675	C₂×C₅×D₃	—	2	2	no	—
676	C₂×C₅×D₃	—	4	4	no	—
677	C₂×C₅×D₃	—	4	8	no	—
678	C₂×C₅×D₃	C₂×#41	1	2	yes	—
679	C₂×C₅×D₃	H(5,𝔽₂)	1	2	yes	—
680	C₂×C₅×D₃	2₋¹⁺⁴	1	2	yes	—
681	C₃×C₄×C₅	—	2	2	no	—
682	C₃×C₄×C₅	—	2	1	no	—
683	C₃×C₄×C₅	—	2	1	no	—
684	C₃×C₄×C₅	—	2	2	no	—
685	C₃×C₄×C₅	—	2	2	no	—
686	C₃×C₄×C₅	—	2	1	no	—
687	C₃×C₄×C₅	—	2	1	no	—
688	C₃×C₄×C₅	—	2	1	no	—
689	C₃×C₄×C₅	C₂×#41	1	2	yes	—
690	C₅×Dic₃	—	2	2	no	—
691	C₅×Dic₃	—	2	1	no	—
692	C₅×Dic₃	—	2	1	no	—
693	C₅×Dic₃	—	2	2	no	—
694	C₅×Dic₃	—	2	2	no	—
695	C₅×Dic₃	—	2	1	no	—
696	C₅×Dic₃	—	2	1	no	—
697	C₅×Dic₃	—	2	1	no	—
698	C₅×Dic₃	C₂×#41	1	2	yes	—
699	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
700	C₂³×D₃	C₂³×C₅	1	2	yes	—
701	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
702	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
703	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
704	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
705	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
706	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
707	C₂×#67	C₂³×C₅	1	2	yes	—
708	C₂×#67	C₂³×C₅	1	2	yes	—
709	C₂×#67	C₂³×C₅	1	2	yes	—
710	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
711	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
712	D₃×Q₈	—	2	4	no	—
713	D₃×Q₈	—	4	4	no	—
714	D₃×D₄	—	2	4	no	—
715	D₃×D₄	—	4	4	no	—
716	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
717	C₂×D₁₂	C₂³×C₅	1	2	yes	—
718	C₂×C₄×D₃	—	2	4	no	—
719	C₂×C₄×D₃	—	4	4	no	—
720	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
721	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
722	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
723	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
724	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
725	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
726	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
727	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
728	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
729	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
730	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
731	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
732	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
733	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
734	C₂×Dic₆	C₂³×C₅	1	2	yes	—
735	C₂×Dic₆	C₂³×C₅	1	2	yes	—
736	C₂×Dic₆	C₂³×C₅	1	2	yes	—
737	C₂×Dic₆	C₂³×C₅	1	2	yes	—
738	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
739	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
740	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
741	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
742	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
743	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
744	C₃×C₄⋊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	2	yes	—
752	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
753	C₃×C₄²	C₂³×C₅	1	2	yes	—
754	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
755	#217	C₂³×C₅	1	1	yes	characteristic
756	#217	C₂³×C₅	1	1	yes	characteristic
757	#217	C₂³×C₅	1	2	yes	—
758	#217	C₂³×C₅	1	2	yes	—
759	#217	C₂³×C₅	1	2	yes	—
760	#217	C₂³×C₅	1	2	yes	—
761	#217	C₂³×C₅	1	2	yes	—
762	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
763	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
764	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
765	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
766	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
767	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
768	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
769	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
770	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
771	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
772	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
773	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
774	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
775	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
776	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
777	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
778	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
779	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
780	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
781	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
782	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
783	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
784	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
785	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
786	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
787	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
788	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
789	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
790	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
791	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
792	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
793	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
794	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
795	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
796	C₄×Dic₃	C₂³×C₅	1	2	yes	—
797	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
798	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
799	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
800	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
801	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
802	C₄×Dic₃	C₂³×C₅	1	2	yes	—
803	C₄×Dic₃	C₂³×C₅	1	2	yes	—
804	C₂³×C₅	—	3	1	no	—
805	C₂³×C₅	—	3	1	no	—
806	C₂³×C₅	—	3	2	no	—
807	C₂³×C₅	—	6	2	no	—
808	C₂³×C₅	—	6	4	no	—
809	C₂³×C₅	—	6	4	no	—
810	C₂³×C₅	—	6	2	no	—
811	C₂³×C₅	—	6	2	no	—
812	C₂³×C₅	—	6	4	no	—
813	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
814	C₂³×C₅	C₂³×D₃	1	2	yes	—
815	C₅×Q₈	—	2	2	no	—
816	C₅×Q₈	—	4	2	no	—
817	C₅×Q₈	—	6	4	no	—
818	C₅×Q₈	—	6	2	no	—
819	C₅×Q₈	—	12	2	no	—
820	C₅×Q₈	—	12	2	no	—
821	C₅×Q₈	—	12	2	no	—
822	C₅×D₄	—	2	2	no	—
823	C₅×D₄	—	4	2	no	—
824	C₅×D₄	—	6	4	no	—
825	C₅×D₄	—	6	2	no	—
826	C₅×D₄	—	12	2	no	—
827	C₅×D₄	—	12	2	no	—
828	C₅×D₄	—	12	2	no	—
829	C₂×C₄×C₅	—	2	2	no	—
830	C₂×C₄×C₅	—	3	1	no	—
831	C₂×C₄×C₅	—	3	4	no	—
832	C₂×C₄×C₅	—	3	1	no	—
833	C₂×C₄×C₅	—	3	1	no	—
834	C₂×C₄×C₅	—	3	2	no	—
835	C₂×C₄×C₅	—	3	1	no	—
836	C₂×C₄×C₅	—	3	1	no	—
837	C₂×C₄×C₅	—	3	2	no	—
838	C₂×C₄×C₅	—	3	1	no	—
839	C₂×C₄×C₅	—	3	2	no	—
840	C₂×C₄×C₅	—	4	2	no	—
841	C₂×C₄×C₅	—	6	2	no	—
842	C₂×C₄×C₅	—	6	2	no	—
843	C₂×C₄×C₅	—	6	2	no	—
844	C₂×C₄×C₅	—	6	2	no	—
845	C₂×C₄×C₅	—	6	2	no	—
846	C₂×C₄×C₅	—	6	4	no	—
847	C₂×C₄×C₅	—	6	4	no	—
848	C₂×C₄×C₅	—	6	4	no	—
849	C₂×C₄×C₅	—	6	2	no	—
850	C₂×C₄×C₅	—	6	2	no	—
851	C₂×C₄×C₅	—	6	2	no	—
852	C₂×C₄×C₅	—	12	2	no	—
853	C₂×C₄×C₅	—	12	2	no	—
854	C₂×C₄×C₅	—	12	2	no	—
855	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
856	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
857	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
858	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
859	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
860	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
861	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
862	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
863	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
864	C₂²×Q₈	—	3	1	no	—
865	C₂²×Q₈	—	3	2	no	—
866	C₂²×D₄	—	3	1	no	—
867	C₂²×D₄	—	3	2	no	—
868	C₂³×C₄	—	3	1	no	—
869	C₂³×C₄	—	3	2	no	—
870	C₄⋊Q₈	—	3	2	no	—
871	C₄⋊Q₈	—	3	2	no	—
872	C₄⋊Q₈	—	3	1	no	—
873	C₄⋊Q₈	—	3	1	no	—
874	C₄⋊Q₈	—	3	1	no	—
875	C₄⋊Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
876	#126	—	3	2	no	—
877	#126	—	3	2	no	—
878	#126	—	3	2	no	—
879	#126	—	3	2	no	—
880	#126	—	3	2	no	—
881	#126	—	3	2	no	—
882	#126	—	3	2	no	—
883	#126	C₂×C₅×D₃	1	2	yes	complemented
884	#124	—	3	1	no	—
885	#124	—	3	2	no	—
886	#124	—	3	1	no	—
887	#124	—	3	2	no	—
888	#124	—	3	2	no	—
889	#124	—	3	2	no	—
890	#124	—	3	2	no	—
891	#124	—	3	2	no	—
892	#124	—	3	2	no	—
893	#124	—	3	2	no	—
894	#124	—	3	1	no	—
895	#124	—	3	2	no	—
896	#124	C₂×C₅×D₃	1	1	yes	characteristic, complemented
897	#124	C₂×C₅×D₃	1	2	yes	complemented
898	#123	—	3	2	no	—
899	#123	—	3	2	no	—
900	#123	—	3	2	no	—
901	#123	—	3	2	no	—
902	#123	—	3	2	no	—
903	#123	—	3	2	no	—
904	#123	—	3	2	no	—
905	#123	C₂×C₅×D₃	1	2	yes	complemented
906	C₂²⋊Q₈	—	3	2	no	—
907	C₂²⋊Q₈	—	3	1	no	—
908	C₂²⋊Q₈	—	3	2	no	—
909	C₂²⋊Q₈	—	3	1	no	—
910	C₂²⋊Q₈	—	3	2	no	—
911	C₂²⋊Q₈	—	3	2	no	—
912	C₂²⋊Q₈	—	3	2	no	—
913	C₂²⋊Q₈	—	3	2	no	—
914	C₂²⋊Q₈	—	3	1	no	—
915	C₂²⋊Q₈	—	3	2	no	—
916	C₂²⋊Q₈	—	3	2	no	—
917	C₂²⋊Q₈	—	3	2	no	—
918	C₂²⋊Q₈	C₂×C₅×D₃	1	2	yes	complemented
919	C₂²⋊Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
920	#121	—	3	1	no	—
921	#121	—	3	2	no	—
922	#121	—	3	1	no	—
923	#121	—	3	1	no	—
924	#121	—	3	2	no	—
925	#121	C₂×C₅×D₃	1	1	yes	characteristic
926	C₄×Q₈	—	3	1	no	—
927	C₄×Q₈	—	3	2	no	—
928	C₄×Q₈	—	3	1	no	—
929	C₄×Q₈	—	3	2	no	—
930	C₄×Q₈	—	3	1	no	—
931	C₄×Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
932	C₄×D₄	—	3	1	no	—
933	C₄×D₄	—	3	2	no	—
934	C₄×D₄	—	3	1	no	—
935	C₄×D₄	—	3	2	no	—
936	C₄×D₄	—	3	1	no	—
937	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
938	#117	—	3	1	no	—
939	#117	—	3	1	no	—
940	#117	—	3	1	no	—
941	#117	—	3	1	no	—
942	#117	—	3	1	no	—
943	#117	—	3	1	no	—
944	#117	—	3	1	no	—
945	#117	C₂×C₅×D₃	1	1	yes	characteristic, complemented
946	C₂×C₄⋊C₄	—	3	1	no	—
947	C₂×C₄⋊C₄	—	3	1	no	—
948	C₂×C₄⋊C₄	—	3	1	no	—
949	C₂×C₄⋊C₄	—	3	1	no	—
950	C₂×C₄⋊C₄	—	3	2	no	—
951	C₂×C₄⋊C₄	—	3	2	no	—
952	C₂×C₄⋊C₄	—	3	2	no	—
953	C₂×C₂²⋊C₄	—	3	1	no	—
954	C₂×C₂²⋊C₄	—	3	1	no	—
955	C₂×C₂²⋊C₄	—	3	2	no	—
956	C₂×C₂²⋊C₄	—	3	2	no	—
957	C₂×C₂²⋊C₄	—	3	2	no	—
958	C₂×C₂²⋊C₄	—	3	2	no	—
959	C₂×C₂²⋊C₄	—	3	2	no	—
960	C₂×C₄²	—	3	1	no	—
961	C₂×C₄²	—	3	1	no	—
962	C₂×C₄²	—	3	2	no	—
963	C₂×C₃×C₅	—	4	1	no	—
964	C₂×C₃×C₅	—	4	2	no	—
965	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
966	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
967	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
968	C₅×D₃	—	4	1	no	—
969	C₅×D₃	—	4	2	no	—
970	C₅×D₃	#542	1	4	yes	direct product factor
971	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
972	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
973	C₂²×D₃	—	2	2	no	—
974	C₂²×D₃	—	2	4	no	—
975	C₂²×D₃	—	2	4	no	—
976	C₂²×D₃	—	2	2	no	—
977	C₂²×D₃	—	2	2	no	—
978	C₂²×D₃	—	2	4	no	—
979	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
980	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
981	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
982	C₃×Q₈	—	2	2	no	—
983	C₃×Q₈	—	4	2	no	—
984	C₃×D₄	—	2	2	no	—
985	C₃×D₄	—	4	2	no	—
986	C₂×C₃×C₄	—	2	2	no	—
987	C₂×C₃×C₄	—	4	2	no	—
988	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
989	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
990	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
991	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
992	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
993	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
994	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
995	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
996	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
997	#67	—	2	4	no	—
998	#67	—	4	2	no	—
999	#67	—	4	2	no	—
1000	C₂×Dic₃	—	2	2	no	—
1001	C₂×Dic₃	—	4	2	no	—
1002	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1003	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1004	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1005	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1006	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1007	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1008	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1009	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1010	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1011	D₁₂	—	2	2	no	—
1012	D₁₂	—	4	2	no	—
1013	C₄×D₃	—	2	2	no	—
1014	C₄×D₃	—	2	4	no	—
1015	C₄×D₃	—	2	2	no	—
1016	C₄×D₃	—	2	4	no	—
1017	C₄×D₃	—	2	4	no	—
1018	C₄×D₃	—	2	2	no	—
1019	C₄×D₃	—	2	2	no	—
1020	C₄×D₃	—	2	2	no	—
1021	C₄×D₃	—	2	2	no	—
1022	C₄×D₃	—	2	2	no	—
1023	C₄×D₃	—	4	2	no	—
1024	C₄×D₃	—	4	2	no	—
1025	C₄×D₃	C₅×#41	1	4	yes	—
1026	Dic₆	—	2	2	no	—
1027	Dic₆	—	2	4	no	—
1028	Dic₆	—	4	2	no	—
1029	Dic₆	—	4	2	no	—
1030	Dic₆	—	4	2	no	—
1031	C₂²×C₅	—	2	1	no	—
1032	C₂²×C₅	—	2	2	no	—
1033	C₂²×C₅	—	2	2	no	—
1034	C₂²×C₅	—	2	1	no	—
1035	C₂²×C₅	—	2	1	no	—
1036	C₂²×C₅	—	2	2	no	—
1037	C₂²×C₅	—	3	2	no	—
1038	C₂²×C₅	—	3	2	no	—
1039	C₂²×C₅	—	3	2	no	—
1040	C₂²×C₅	—	6	1	no	—
1041	C₂²×C₅	—	6	2	no	—
1042	C₂²×C₅	—	6	2	no	—
1043	C₂²×C₅	—	6	1	no	—
1044	C₂²×C₅	—	6	1	no	—
1045	C₂²×C₅	—	6	2	no	—
1046	C₂²×C₅	—	12	4	no	—
1047	C₂²×C₅	—	12	8	no	—
1048	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1049	C₄×C₅	—	2	1	no	—
1050	C₄×C₅	—	2	2	no	—
1051	C₄×C₅	—	2	1	no	—
1052	C₄×C₅	—	2	2	no	—
1053	C₄×C₅	—	2	2	no	—
1054	C₄×C₅	—	2	1	no	—
1055	C₄×C₅	—	2	1	no	—
1056	C₄×C₅	—	2	1	no	—
1057	C₄×C₅	—	3	2	no	—
1058	C₄×C₅	—	6	1	no	—
1059	C₄×C₅	—	6	2	no	—
1060	C₄×C₅	—	6	1	no	—
1061	C₄×C₅	—	6	2	no	—
1062	C₄×C₅	—	6	2	no	—
1063	C₄×C₅	—	6	1	no	—
1064	C₄×C₅	—	6	1	no	—
1065	C₄×C₅	—	6	1	no	—
1066	C₄×C₅	D₃×#41	1	2	yes	—
1067	C₂⁴	—	3	1	no	—
1068	C₂⁴	—	3	2	no	—
1069	C₂×Q₈	—	3	2	no	—
1070	C₂×Q₈	—	3	1	no	—
1071	C₂×Q₈	—	3	2	no	—
1072	C₂×Q₈	—	3	2	no	—
1073	C₂×Q₈	—	3	2	no	—
1074	C₂×Q₈	—	6	4	no	—
1075	C₂×Q₈	—	12	4	no	—
1076	C₂×Q₈	C₂²×C₅×D₃	1	1	yes	characteristic
1077	C₂×Q₈	C₂²×C₅×D₃	1	2	yes	—
1078	C₂×D₄	—	3	2	no	—
1079	C₂×D₄	—	3	2	no	—
1080	C₂×D₄	—	3	2	no	—
1081	C₂×D₄	—	3	1	no	—
1082	C₂×D₄	—	3	2	no	—
1083	C₂×D₄	—	6	4	no	—
1084	C₂×D₄	—	12	4	no	—
1085	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1086	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
1087	C₂²×C₄	—	3	1	no	—
1088	C₂²×C₄	—	3	1	no	—
1089	C₂²×C₄	—	3	2	no	—
1090	C₂²×C₄	—	3	1	no	—
1091	C₂²×C₄	—	3	1	no	—
1092	C₂²×C₄	—	3	2	no	—
1093	C₂²×C₄	—	3	1	no	—
1094	C₂²×C₄	—	3	1	no	—
1095	C₂²×C₄	—	3	2	no	—
1096	C₂²×C₄	—	3	1	no	—
1097	C₂²×C₄	—	3	2	no	—
1098	C₂²×C₄	—	3	1	no	—
1099	C₂²×C₄	—	3	1	no	—
1100	C₂²×C₄	—	3	2	no	—
1101	C₂²×C₄	—	3	2	no	—
1102	C₂²×C₄	—	6	4	no	—
1103	C₂²×C₄	—	12	4	no	—
1104	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
1106	C₄⋊C₄	—	3	1	no	—
1107	C₄⋊C₄	—	3	1	no	—
1108	C₄⋊C₄	—	3	1	no	—
1109	C₄⋊C₄	—	3	1	no	—
1110	C₄⋊C₄	—	3	1	no	—
1111	C₄⋊C₄	—	3	1	no	—
1112	C₄⋊C₄	—	3	2	no	—
1113	C₄⋊C₄	—	3	1	no	—
1114	C₄⋊C₄	—	3	2	no	—
1115	C₄⋊C₄	—	3	1	no	—
1116	C₄⋊C₄	—	3	2	no	—
1117	C₄⋊C₄	—	3	2	no	—
1118	C₄⋊C₄	—	3	2	no	—
1119	C₄⋊C₄	—	3	2	no	—
1120	C₄⋊C₄	—	3	2	no	—
1121	C₄⋊C₄	—	3	2	no	—
1122	C₄⋊C₄	—	3	2	no	—
1123	C₄⋊C₄	—	3	2	no	—
1124	C₄⋊C₄	—	3	2	no	—
1125	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1126	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1127	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1128	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1129	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1130	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1131	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1132	C₂²⋊C₄	—	3	1	no	—
1133	C₂²⋊C₄	—	3	1	no	—
1134	C₂²⋊C₄	—	3	2	no	—
1135	C₂²⋊C₄	—	3	2	no	—
1136	C₂²⋊C₄	—	3	2	no	—
1137	C₂²⋊C₄	—	3	2	no	—
1138	C₂²⋊C₄	—	3	2	no	—
1139	C₂²⋊C₄	—	3	1	no	—
1140	C₂²⋊C₄	—	3	1	no	—
1141	C₂²⋊C₄	—	3	1	no	—
1142	C₂²⋊C₄	—	3	1	no	—
1143	C₂²⋊C₄	—	3	2	no	—
1144	C₂²⋊C₄	—	3	2	no	—
1145	C₂²⋊C₄	—	3	2	no	—
1146	C₂²⋊C₄	—	3	2	no	—
1147	C₂²⋊C₄	—	3	2	no	—
1148	C₂²⋊C₄	—	3	2	no	—
1149	C₂²⋊C₄	—	3	2	no	—
1150	C₂²⋊C₄	—	3	2	no	—
1151	C₂²⋊C₄	—	3	2	no	—
1152	C₂²⋊C₄	—	3	2	no	—
1153	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1154	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1155	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1156	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1157	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1158	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1159	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1160	C₄²	—	3	1	no	—
1161	C₄²	—	3	1	no	—
1162	C₄²	—	3	1	no	—
1163	C₄²	—	3	1	no	—
1164	C₄²	—	3	1	no	—
1165	C₄²	—	3	1	no	—
1166	C₄²	—	3	2	no	—
1167	C₄²	—	3	2	no	—
1168	C₄²	—	3	2	no	—
1169	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1170	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1171	C₄²	C₂²×C₅×D₃	1	2	yes	—
1172	C₃×C₅	C₂×#542	1	1	yes	characteristic, complemented, Hall
1173	C₂²×C₃	—	2	1	no	—
1174	C₂²×C₃	—	2	2	no	—
1175	C₂²×C₃	—	2	2	no	—
1176	C₂²×C₃	—	2	1	no	—
1177	C₂²×C₃	—	2	1	no	—
1178	C₂²×C₃	—	2	2	no	—
1179	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
1180	C₂×D₃	—	2	1	no	—
1181	C₂×D₃	—	2	2	no	—
1182	C₂×D₃	—	2	2	no	—
1183	C₂×D₃	—	2	1	no	—
1184	C₂×D₃	—	2	1	no	—
1185	C₂×D₃	—	2	2	no	—
1186	C₂×D₃	—	4	4	no	—
1187	C₂×D₃	—	4	8	no	—
1188	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1189	C₂×D₃	C₅×H(5,𝔽₂)	1	2	yes	—
1190	C₂×D₃	C₅×2₋¹⁺⁴	1	2	yes	—
1191	C₃×C₄	—	2	2	no	—
1192	C₃×C₄	—	2	1	no	—
1193	C₃×C₄	—	2	1	no	—
1194	C₃×C₄	—	2	2	no	—
1195	C₃×C₄	—	2	2	no	—
1196	C₃×C₄	—	2	1	no	—
1197	C₃×C₄	—	2	1	no	—
1198	C₃×C₄	—	2	1	no	—
1199	C₃×C₄	C₂×C₅×#41	1	2	yes	—
1200	Dic₃	—	2	2	no	—
1201	Dic₃	—	2	1	no	—
1202	Dic₃	—	2	1	no	—
1203	Dic₃	—	2	2	no	—
1204	Dic₃	—	2	2	no	—
1205	Dic₃	—	2	1	no	—
1206	Dic₃	—	2	1	no	—
1207	Dic₃	—	2	1	no	—
1208	Dic₃	C₂×C₅×#41	1	2	yes	—
1209	C₂×C₅	—	3	4	no	—
1210	C₂×C₅	—	4	1	no	—
1211	C₂×C₅	—	4	2	no	—
1212	C₂×C₅	—	12	1	no	—
1213	C₂×C₅	—	12	2	no	—
1214	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1215	C₂×C₅	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1216	C₂×C₅	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1217	C₂³	—	3	1	no	—
1218	C₂³	—	3	1	no	—
1219	C₂³	—	3	2	no	—
1220	C₂³	—	6	2	no	—
1221	C₂³	—	6	4	no	—
1222	C₂³	—	6	4	no	—
1223	C₂³	—	6	2	no	—
1224	C₂³	—	6	2	no	—
1225	C₂³	—	6	4	no	—
1226	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1227	C₂³	C₂³×C₅×D₃	1	2	yes	—
1228	Q₈	—	2	2	no	—
1229	Q₈	—	4	2	no	—
1230	Q₈	—	6	4	no	—
1231	Q₈	—	6	2	no	—
1232	Q₈	—	12	2	no	—
1233	Q₈	—	12	2	no	—
1234	Q₈	—	12	2	no	—
1235	D₄	—	2	2	no	—
1236	D₄	—	4	2	no	—
1237	D₄	—	6	4	no	—
1238	D₄	—	6	2	no	—
1239	D₄	—	12	2	no	—
1240	D₄	—	12	2	no	—
1241	D₄	—	12	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	3	1	no	—
1244	C₂×C₄	—	3	4	no	—
1245	C₂×C₄	—	3	1	no	—
1246	C₂×C₄	—	3	1	no	—
1247	C₂×C₄	—	3	2	no	—
1248	C₂×C₄	—	3	1	no	—
1249	C₂×C₄	—	3	1	no	—
1250	C₂×C₄	—	3	2	no	—
1251	C₂×C₄	—	3	1	no	—
1252	C₂×C₄	—	3	2	no	—
1253	C₂×C₄	—	4	2	no	—
1254	C₂×C₄	—	6	2	no	—
1255	C₂×C₄	—	6	2	no	—
1256	C₂×C₄	—	6	2	no	—
1257	C₂×C₄	—	6	4	no	—
1258	C₂×C₄	—	6	4	no	—
1259	C₂×C₄	—	6	4	no	—
1260	C₂×C₄	—	6	2	no	—
1261	C₂×C₄	—	6	2	no	—
1262	C₂×C₄	—	6	2	no	—
1263	C₂×C₄	—	6	2	no	—
1264	C₂×C₄	—	6	2	no	—
1265	C₂×C₄	—	12	2	no	—
1266	C₂×C₄	—	12	2	no	—
1267	C₂×C₄	—	12	2	no	—
1268	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1269	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1270	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1271	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1272	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1273	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1274	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1275	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1276	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1277	C₂×C₃	—	4	1	no	—
1278	C₂×C₃	—	4	2	no	—
1279	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1280	C₂×C₃	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1281	C₂×C₃	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1282	D₃	—	4	1	no	—
1283	D₃	—	4	2	no	—
1284	D₃	C₅×#542	1	4	yes	direct product factor
1285	C₅	D₃×#542	1	1	yes	characteristic, direct product factor, Sylow
1286	C₂²	—	2	1	no	—
1287	C₂²	—	2	2	no	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	1	no	—
1290	C₂²	—	2	1	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	3	2	no	—
1293	C₂²	—	3	2	no	—
1294	C₂²	—	3	2	no	—
1295	C₂²	—	6	1	no	—
1296	C₂²	—	6	2	no	—
1297	C₂²	—	6	2	no	—
1298	C₂²	—	6	1	no	—
1299	C₂²	—	6	1	no	—
1300	C₂²	—	6	2	no	—
1301	C₂²	—	12	4	no	—
1302	C₂²	—	12	8	no	—
1303	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1304	C₄	—	2	1	no	—
1305	C₄	—	2	2	no	—
1306	C₄	—	2	1	no	—
1307	C₄	—	2	2	no	—
1308	C₄	—	2	2	no	—
1309	C₄	—	2	1	no	—
1310	C₄	—	2	1	no	—
1311	C₄	—	2	1	no	—
1312	C₄	—	3	2	no	—
1313	C₄	—	6	1	no	—
1314	C₄	—	6	2	no	—
1315	C₄	—	6	1	no	—
1316	C₄	—	6	2	no	—
1317	C₄	—	6	2	no	—
1318	C₄	—	6	1	no	—
1319	C₄	—	6	1	no	—
1320	C₄	—	6	1	no	—
1321	C₄	C₅×D₃×#41	1	2	yes	—
1322	C₃	C₂×C₅×#542	1	1	yes	characteristic, complemented, Sylow
1323	C₂	—	3	4	no	—
1324	C₂	—	4	1	no	—
1325	C₂	—	4	2	no	—
1326	C₂	—	12	1	no	—
1327	C₂	—	12	2	no	—
1328	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1329	C₂	C₅×D₃×H(5,𝔽₂)	1	1	yes	characteristic
1330	C₂	C₅×D₃×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₅	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₅
Frattini	C₂²	C₂⁴×C₅×D₃
Fitting	C₃×C₅×#542	C₂
socle	C₂²×C₃×C₅	C₂⁵
prime radical	C₅×D₃×#121	C₂
hypercenter	C₅×#542	D₃
hypocenter	C₃	C₂×C₅×#542
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₅ ◁ C₅×#542

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#542	C₂	semidirect
2. C₅×#5733	C₂	semidirect
3. C₅×D₃×C₄⋊Q₈	C₂	semidirect
4. C₅×#5710	C₂	semidirect
5. C₅×D₃×#126	C₂	semidirect
6. C₅×#5682	C₂	semidirect
7. C₅×D₃×#124	C₂	semidirect
8. C₅×D₃×#124	C₂	semidirect
9. C₅×#5669	C₂	semidirect
10. C₅×#5662	C₂	semidirect
11. C₅×D₃×#123	C₂	semidirect
12. C₅×#5643	C₂	semidirect
13. C₅×#5640	C₂	semidirect
14. C₅×D₃×C₂²⋊Q₈	C₂	semidirect
15. C₅×D₃×C₂²⋊Q₈	C₂	semidirect
17. C₅×#5603	C₂	semidirect
18. C₅×#5582	C₂	semidirect
19. C₄×C₅×D₃×Q₈	C₂	semidirect
20. C₅×#5561	C₂	semidirect
21. C₄×C₅×D₃×D₄	C₂	semidirect
22. C₅×#5534	C₂	semidirect
23. C₅×D₃×#117	C₂	semidirect
31. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
32. C₃×C₅×#126	C₂²	semidirect
33. C₃×C₅×#124	C₂²	semidirect
34. C₃×C₅×#124	C₂²	semidirect
35. C₃×C₅×#123	C₂²	semidirect
36. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
37. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
39. C₃×C₄×C₅×Q₈	C₂²	semidirect
40. C₃×C₄×C₅×D₄	C₂²	semidirect
41. C₃×C₅×#117	C₂²	semidirect
42. C₅×#947	C₂²	semidirect
43. C₅×#947	C₂²	semidirect
44. C₅×#946	C₂²	semidirect
45. C₅×#946	C₂²	semidirect
46. C₅×Q₈×Dic₃	C₂²	semidirect
47. C₅×#944	C₂²	semidirect
50. C₅×#936	C₂²	semidirect
51. C₅×#936	C₂²	semidirect
52. C₅×#935	C₂²	semidirect
53. C₅×D₄×Dic₃	C₂²	semidirect
55. C₅×#929	C₂²	semidirect
56. C₄×C₅×#67	C₂²	semidirect
57. C₅×#926	C₂²	semidirect
58. C₅×#924	C₂²	semidirect
59. C₅×#924	C₂²	semidirect
60. C₅×#898	C₂²	semidirect
61. C₅×#898	C₂²	semidirect
62. C₅×#898	C₂²	semidirect
63. C₅×#897	C₂²	semidirect
64. C₅×#897	C₂²	semidirect
65. C₅×#896	C₂²	semidirect
66. C₅×#896	C₂²	semidirect
67. C₅×#896	C₂²	semidirect
69. C₅×#894	C₂²	semidirect
70. C₅×#894	C₂²	semidirect
71. C₅×#893	C₂²	semidirect
72. C₅×#892	C₂²	semidirect
73. C₅×#892	C₂²	semidirect
81. C₅×#888	C₂²	semidirect
82. C₅×#888	C₂²	semidirect
83. C₅×#888	C₂²	semidirect
84. C₅×#887	C₂²	semidirect
85. C₅×#887	C₂²	semidirect
86. C₅×#886	C₂²	semidirect
87. C₅×#885	C₂²	semidirect
88. C₅×#885	C₂²	semidirect
89. C₅×#885	C₂²	semidirect
90. C₅×#885	C₂²	semidirect
91. C₅×#885	C₂²	semidirect
92. C₅×#885	C₂²	semidirect
94. C₅×#883	C₂²	semidirect
95. C₅×#883	C₂²	semidirect
96. C₅×#67⋊C₄	C₂²	semidirect
104. C₅×#879	C₂²	semidirect
105. C₅×#879	C₂²	semidirect
106. C₅×#879	C₂²	semidirect
107. C₅×#878	C₂²	semidirect
108. C₅×#878	C₂²	semidirect
109. C₅×#878	C₂²	semidirect
110. C₅×#877	C₂²	semidirect
111. C₅×#877	C₂²	semidirect
112. C₅×#876	C₂²	semidirect
113. C₅×#875	C₂²	semidirect
114. C₅×#875	C₂²	semidirect
115. C₄×C₅×D₁₂	C₂²	semidirect
116. C₅×#872	C₂²	semidirect
117. C₅×#872	C₂²	semidirect
121. C₅×#869	C₂²	semidirect
122. C₄×C₅×Dic₆	C₂²	semidirect
123. C₄×C₅×Dic₆	C₂²	semidirect
124. D₃×#542	C₅	direct (N × H)
136. C₅×#542	D₃	direct (N × H)
253. C₃×#542	C₂×C₅	semidirect
254. #5733	C₂×C₅	semidirect
255. D₃×C₄⋊Q₈	C₂×C₅	semidirect
256. #5710	C₂×C₅	semidirect
257. D₃×#126	C₂×C₅	semidirect
258. #5682	C₂×C₅	semidirect
259. D₃×#124	C₂×C₅	semidirect
260. D₃×#124	C₂×C₅	semidirect
261. #5669	C₂×C₅	semidirect
262. #5662	C₂×C₅	semidirect
263. D₃×#123	C₂×C₅	semidirect
264. #5643	C₂×C₅	semidirect
265. #5640	C₂×C₅	semidirect
266. D₃×C₂²⋊Q₈	C₂×C₅	semidirect
267. D₃×C₂²⋊Q₈	C₂×C₅	semidirect
269. #5603	C₂×C₅	semidirect
270. #5582	C₂×C₅	semidirect
271. C₄×D₃×Q₈	C₂×C₅	semidirect
272. #5561	C₂×C₅	semidirect
273. C₄×D₃×D₄	C₂×C₅	semidirect
274. #5534	C₂×C₅	semidirect
275. D₃×#117	C₂×C₅	semidirect
287. C₅×C₄⋊Q₈	C₂×D₃	semidirect
295. C₅×#126	C₂×D₃	semidirect
308. C₅×#124	C₂×D₃	semidirect
309. C₅×#124	C₂×D₃	semidirect
317. C₅×#123	C₂×D₃	semidirect
330. C₅×C₂²⋊Q₈	C₂×D₃	semidirect
331. C₅×C₂²⋊Q₈	C₂×D₃	semidirect
343. C₄×C₅×Q₈	C₂×D₃	semidirect
349. C₄×C₅×D₄	C₂×D₃	semidirect
357. C₅×#117	C₂×D₃	semidirect
442. C₃×C₄⋊Q₈	C₂²×C₅	semidirect
443. C₃×#126	C₂²×C₅	semidirect
444. C₃×#124	C₂²×C₅	semidirect
445. C₃×#124	C₂²×C₅	semidirect
446. C₃×#123	C₂²×C₅	semidirect
447. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
448. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
450. C₃×C₄×Q₈	C₂²×C₅	semidirect
451. C₃×C₄×D₄	C₂²×C₅	semidirect
452. C₃×#117	C₂²×C₅	semidirect
453. #947	C₂²×C₅	semidirect
454. #947	C₂²×C₅	semidirect
455. #946	C₂²×C₅	semidirect
456. #946	C₂²×C₅	semidirect
457. Q₈×Dic₃	C₂²×C₅	semidirect
458. #944	C₂²×C₅	semidirect
461. #936	C₂²×C₅	semidirect
462. #936	C₂²×C₅	semidirect
463. #935	C₂²×C₅	semidirect
464. D₄×Dic₃	C₂²×C₅	semidirect
466. #929	C₂²×C₅	semidirect
467. C₄×#67	C₂²×C₅	semidirect
468. #926	C₂²×C₅	semidirect
469. #924	C₂²×C₅	semidirect
470. #924	C₂²×C₅	semidirect
471. #898	C₂²×C₅	semidirect
472. #898	C₂²×C₅	semidirect
473. #898	C₂²×C₅	semidirect
474. #897	C₂²×C₅	semidirect
475. #897	C₂²×C₅	semidirect
476. #896	C₂²×C₅	semidirect
477. #896	C₂²×C₅	semidirect
478. #896	C₂²×C₅	semidirect
480. #894	C₂²×C₅	semidirect
481. #894	C₂²×C₅	semidirect
482. #893	C₂²×C₅	semidirect
483. #892	C₂²×C₅	semidirect
484. #892	C₂²×C₅	semidirect
492. #888	C₂²×C₅	semidirect
493. #888	C₂²×C₅	semidirect
494. #888	C₂²×C₅	semidirect
495. #887	C₂²×C₅	semidirect
496. #887	C₂²×C₅	semidirect
497. #886	C₂²×C₅	semidirect
498. #885	C₂²×C₅	semidirect
499. #885	C₂²×C₅	semidirect
500. #885	C₂²×C₅	semidirect
501. #885	C₂²×C₅	semidirect
502. #885	C₂²×C₅	semidirect
503. #885	C₂²×C₅	semidirect
505. #883	C₂²×C₅	semidirect
506. #883	C₂²×C₅	semidirect
507. #67⋊C₄	C₂²×C₅	semidirect
515. #879	C₂²×C₅	semidirect
516. #879	C₂²×C₅	semidirect
517. #879	C₂²×C₅	semidirect
518. #878	C₂²×C₅	semidirect
519. #878	C₂²×C₅	semidirect
520. #878	C₂²×C₅	semidirect
521. #877	C₂²×C₅	semidirect
522. #877	C₂²×C₅	semidirect
523. #876	C₂²×C₅	semidirect
524. #875	C₂²×C₅	semidirect
525. #875	C₂²×C₅	semidirect
526. C₄×D₁₂	C₂²×C₅	semidirect
527. #872	C₂²×C₅	semidirect
528. #872	C₂²×C₅	semidirect
532. #869	C₂²×C₅	semidirect
533. C₄×Dic₆	C₂²×C₅	semidirect
534. C₄×Dic₆	C₂²×C₅	semidirect
651. #542	C₅×D₃	direct (N × H)
875. C₄⋊Q₈	C₂×C₅×D₃	semidirect
883. #126	C₂×C₅×D₃	semidirect
896. #124	C₂×C₅×D₃	semidirect
897. #124	C₂×C₅×D₃	semidirect
905. #123	C₂×C₅×D₃	semidirect
918. C₂²⋊Q₈	C₂×C₅×D₃	semidirect
919. C₂²⋊Q₈	C₂×C₅×D₃	semidirect
931. C₄×Q₈	C₂×C₅×D₃	semidirect
937. C₄×D₄	C₂×C₅×D₃	semidirect
945. #117	C₂×C₅×D₃	semidirect
970. C₅×D₃	#542	direct (N × H)
1172. C₃×C₅	C₂×#542	semidirect
1284. D₃	C₅×#542	direct (N × H)
1285. C₅	D₃×#542	direct (N × H)
1322. C₃	C₂×C₅×#542	semidirect

Maximal subgroups

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

subgroup	index
C₃×C₅×#542	2
C₅×#5733	2
C₅×D₃×C₄⋊Q₈	2
C₅×#5710	2
C₅×D₃×#126	2
C₅×#5682	2
C₅×D₃×#124	2
C₅×#5669	2
C₅×#5662	2
C₅×D₃×#123	2
C₅×#5643	2
C₅×#5640	2
C₅×D₃×C₂²⋊Q₈	2
C₅×D₃×#121	2
C₅×#5603	2
C₅×#5582	2
C₄×C₅×D₃×Q₈	2
C₅×#5561	2
C₄×C₅×D₃×D₄	2
C₅×#5534	2
C₅×D₃×#117	2
C₂×C₅×#542	3
D₃×#542	5

Subgroups — C5×D3×#542 #14481298

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×D₃×#542 #14481298