Subgroups — C₅×D₃×#538 #14480746

Order 1920.

2672 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5704	C₂	1	2	yes	maximal, complemented
3	C₅×D₃×#126	C₂	1	2	yes	maximal, complemented
4	C₅×#5678	C₂	1	2	yes	maximal, complemented
5	C₅×D₃×#124	C₂	1	2	yes	maximal, complemented
6	C₅×#5657	C₂	1	2	yes	maximal, complemented
7	C₅×D₃×#123	C₂	1	2	yes	maximal, complemented
8	C₅×#5644	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×D₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#5617	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#5613	C₂	1	2	yes	maximal, complemented
12	C₅×D₃×#121	C₂	1	2	yes	maximal, complemented
13	C₅×D₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#5593	C₂	1	2	yes	maximal, complemented
15	C₅×D₃×#120	C₂	1	2	yes	maximal, complemented
16	C₅×#5560	C₂	1	2	yes	maximal, complemented
17	C₄×C₅×D₃×D₄	C₂	1	2	yes	maximal, complemented
18	C₅×#5494	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₅×D₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₅×#538	—	3	1	no	maximal, Hall
21	C₂⁴×C₅×D₃	C₂²	1	1	yes	characteristic
22	C₂×C₅×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₅×D₃×D₄	C₂²	1	2	yes	—
24	C₂×C₅×D₃×D₄	C₂²	1	2	yes	—
25	C₂×C₅×D₃×D₄	C₂²	1	2	yes	—
26	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
28	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
29	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	complemented
30	C₃×C₅×#126	C₂²	1	2	yes	complemented
31	C₃×C₅×#124	C₂²	1	2	yes	complemented
32	C₃×C₅×#123	C₂²	1	2	yes	complemented
33	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₃×C₅×#121	C₂²	1	2	yes	complemented
35	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
36	C₃×C₅×#120	C₂²	1	2	yes	complemented
37	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
38	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
39	C₅×#953	C₂²	1	2	yes	complemented
40	C₂×C₅×#217	C₂²	1	1	yes	characteristic, complemented
41	C₅×#947	C₂²	1	2	yes	complemented
42	C₅×#946	C₂²	1	1	yes	characteristic, complemented
43	C₅×#939	C₂²	1	2	yes	complemented
44	C₅×#939	C₂²	1	2	yes	complemented
45	C₅×#939	C₂²	1	2	yes	complemented
46	C₅×#938	C₂²	1	2	yes	complemented
47	C₅×#938	C₂²	1	1	yes	characteristic, complemented
48	C₅×#937	C₂²	1	2	yes	complemented
49	C₅×#937	C₂²	1	2	yes	complemented
50	C₅×#937	C₂²	1	2	yes	complemented
51	C₅×#936	C₂²	1	2	yes	complemented
52	C₅×#935	C₂²	1	2	yes	complemented
53	C₅×D₄×Dic₃	C₂²	1	2	yes	complemented
54	C₅×#930	C₂²	1	2	yes	complemented
55	C₅×#930	C₂²	1	1	yes	characteristic, complemented
56	C₅×#929	C₂²	1	2	yes	complemented
57	C₄×C₅×#67	C₂²	1	2	yes	complemented
58	C₄×C₅×#67	C₂²	1	2	yes	complemented
59	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
61	C₅×#924	C₂²	1	1	yes	characteristic, complemented
62	C₅×#898	C₂²	1	2	yes	complemented
63	C₅×#898	C₂²	1	2	yes	complemented
64	C₅×#898	C₂²	1	2	yes	complemented
65	C₅×#897	C₂²	1	1	yes	characteristic, complemented
66	C₅×#896	C₂²	1	2	yes	complemented
67	C₅×#895	C₂²	1	2	yes	complemented
68	C₅×#895	C₂²	1	1	yes	characteristic, complemented
69	C₅×#894	C₂²	1	2	yes	complemented
70	C₅×#894	C₂²	1	2	yes	complemented
71	C₅×#893	C₂²	1	2	yes	complemented
72	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
73	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
74	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
75	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
76	C₅×#886	C₂²	1	2	yes	complemented
77	C₅×#885	C₂²	1	2	yes	complemented
78	C₅×#885	C₂²	1	2	yes	complemented
79	C₅×#885	C₂²	1	2	yes	complemented
80	C₅×#885	C₂²	1	2	yes	complemented
81	C₅×#884	C₂²	1	2	yes	complemented
82	C₅×#884	C₂²	1	2	yes	complemented
83	C₅×#884	C₂²	1	2	yes	complemented
84	C₅×#883	C₂²	1	2	yes	complemented
85	C₅×#883	C₂²	1	2	yes	complemented
86	C₅×#882	C₂²	1	2	yes	complemented
87	C₅×#882	C₂²	1	2	yes	complemented
88	C₅×#882	C₂²	1	2	yes	complemented
89	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
90	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
91	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
92	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
93	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
94	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
95	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
96	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
97	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
98	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
99	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
100	C₅×#879	C₂²	1	2	yes	complemented
101	C₅×#879	C₂²	1	2	yes	complemented
102	C₅×#879	C₂²	1	2	yes	complemented
103	C₅×#878	C₂²	1	2	yes	complemented
104	C₅×#876	C₂²	1	2	yes	complemented
105	C₅×#875	C₂²	1	2	yes	complemented
106	C₄×C₅×D₁₂	C₂²	1	2	yes	complemented
107	C₄²×C₅×D₃	C₂²	1	2	yes	complemented
108	D₃×#538	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
109	C₅×#538	—	3	2	no	—
110	C₅×#538	—	3	2	no	—
111	C₅×#538	—	3	2	no	—
112	C₅×#538	—	3	1	no	—
113	C₅×#538	—	3	2	no	—
114	C₅×#538	—	3	1	no	—
115	C₅×#538	—	3	2	no	—
116	C₅×#538	—	3	2	no	—
117	C₅×#538	—	3	1	no	—
118	C₅×#538	D₃	1	1	yes	characteristic, direct product factor
119	C₂×C₅×#126	—	3	2	no	—
120	C₂×C₅×#124	—	3	2	no	—
121	C₂×C₅×#123	—	3	2	no	—
122	C₂×C₅×C₂²⋊Q₈	—	3	1	no	—
123	C₂×C₅×#121	—	3	2	no	—
124	C₂×C₅×#121	—	3	1	no	—
125	C₂×C₅×#120	—	3	2	no	—
126	C₂×C₄×C₅×D₄	—	3	2	no	—
127	C₂²×C₅×C₂²⋊C₄	—	3	1	no	—
128	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
129	C₂³×C₅×D₃	—	2	4	no	—
130	C₂³×C₅×D₃	—	4	2	no	—
131	C₂³×C₅×D₃	—	4	2	no	—
132	C₂³×C₅×D₃	C₂³	1	2	yes	—
133	C₂³×C₅×D₃	C₂³	1	2	yes	—
134	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
135	C₂³×C₅×D₃	C₂³	1	2	yes	—
136	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
137	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
138	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
139	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
140	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
141	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
142	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
143	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
144	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	complemented
145	C₂×C₅×#67	C₂³	1	2	yes	—
146	C₂×C₅×#67	C₂³	1	2	yes	—
147	C₂×C₅×#67	C₂³	1	2	yes	—
148	C₂×C₅×#67	C₂³	1	2	yes	—
149	C₂×C₅×#67	C₂³	1	2	yes	—
150	C₂×C₅×#67	C₂³	1	2	yes	—
151	C₂×C₅×#67	C₂³	1	2	yes	complemented
152	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
153	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
154	C₂²×C₅×Dic₃	C₂³	1	2	yes	complemented
155	C₅×D₃×Q₈	—	4	2	no	—
156	C₅×D₃×D₄	—	2	8	no	—
157	C₅×D₃×D₄	—	4	4	no	—
158	C₅×D₃×D₄	—	4	4	no	—
159	C₅×D₃×D₄	—	4	2	no	—
160	C₂×C₅×D₁₂	C₂³	1	2	yes	—
161	C₂×C₅×D₁₂	C₂³	1	2	yes	—
162	C₂×C₅×D₁₂	C₂³	1	2	yes	—
163	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic, complemented
164	C₂×C₄×C₅×D₃	—	4	2	no	—
165	C₂×C₄×C₅×D₃	—	4	2	no	—
166	C₂×C₄×C₅×D₃	—	4	4	no	—
167	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
168	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
169	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
170	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
171	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
172	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
173	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
174	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
175	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
176	C₂×C₄×C₅×D₃	C₂³	1	2	yes	complemented
177	C₂×C₄×C₅×D₃	C₂³	1	2	yes	complemented
178	C₂×C₅×Dic₆	C₂³	1	2	yes	complemented
179	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic, complemented
180	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	complemented
181	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
182	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	complemented
183	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
184	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
190	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
191	C₃×C₄²×C₅	C₂³	1	2	yes	complemented
192	C₅×#217	C₂³	1	2	yes	—
193	C₅×#217	C₂³	1	2	yes	—
194	C₅×#217	C₂³	1	2	yes	—
195	C₅×#217	C₂³	1	2	yes	—
196	C₅×#217	C₂³	1	2	yes	—
197	C₅×#217	C₂³	1	2	yes	complemented
198	C₅×#217	C₂³	1	2	yes	complemented
199	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
200	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
201	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
202	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
203	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
204	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
205	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
206	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
207	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
208	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
209	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
210	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
211	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
212	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
213	C₅×C₄⋊Dic₃	C₂³	1	2	yes	complemented
214	C₅×C₄⋊Dic₃	C₂³	1	2	yes	complemented
215	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
216	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
217	C₅×Dic₃⋊C₄	C₂³	1	2	yes	complemented
218	C₅×Dic₃⋊C₄	C₂³	1	2	yes	complemented
219	C₅×Dic₃⋊C₄	C₂³	1	2	yes	complemented
220	C₅×Dic₃⋊C₄	C₂³	1	2	yes	complemented
221	C₅×Dic₃⋊C₄	C₂³	1	2	yes	complemented
222	C₅×Dic₃⋊C₄	C₂³	1	2	yes	complemented
223	C₄×C₅×Dic₃	C₂³	1	2	yes	complemented
224	C₄×C₅×Dic₃	C₂³	1	2	yes	complemented
225	C₄×C₅×Dic₃	C₂³	1	2	yes	complemented
226	C₃×#538	C₂×C₅	1	1	yes	characteristic, complemented
227	#5704	C₂×C₅	1	2	yes	complemented
228	D₃×#126	C₂×C₅	1	2	yes	complemented
229	#5678	C₂×C₅	1	2	yes	complemented
230	D₃×#124	C₂×C₅	1	2	yes	complemented
231	#5657	C₂×C₅	1	2	yes	complemented
232	D₃×#123	C₂×C₅	1	2	yes	complemented
233	#5644	C₂×C₅	1	1	yes	characteristic, complemented
234	D₃×C₂²⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
235	#5617	C₂×C₅	1	1	yes	characteristic, complemented
236	#5613	C₂×C₅	1	2	yes	complemented
237	D₃×#121	C₂×C₅	1	2	yes	complemented
238	D₃×#121	C₂×C₅	1	1	yes	characteristic, complemented
239	#5593	C₂×C₅	1	2	yes	complemented
240	D₃×#120	C₂×C₅	1	2	yes	complemented
241	#5560	C₂×C₅	1	2	yes	complemented
242	C₄×D₃×D₄	C₂×C₅	1	2	yes	complemented
243	#5494	C₂×C₅	1	1	yes	characteristic, complemented
244	C₂×D₃×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
245	C₂⁵×C₅	—	3	1	no	—
246	C₂²×C₅×Q₈	—	3	1	no	—
247	C₂²×C₅×D₄	—	3	2	no	—
248	C₂²×C₅×D₄	—	3	2	no	—
249	C₂²×C₅×D₄	—	3	2	no	—
250	C₂²×C₅×D₄	—	3	1	no	—
251	C₂³×C₄×C₅	—	3	1	no	—
252	C₂³×C₄×C₅	—	3	1	no	—
253	C₂³×C₄×C₅	—	3	2	no	—
254	C₅×#126	—	3	2	no	—
255	C₅×#126	—	3	2	no	—
256	C₅×#126	—	3	2	no	—
257	C₅×#126	—	3	2	no	—
258	C₅×#126	—	3	2	no	—
259	C₅×#126	—	3	2	no	—
260	C₅×#126	—	3	2	no	—
261	C₅×#126	C₂×D₃	1	2	yes	complemented
262	C₅×#124	—	3	2	no	—
263	C₅×#124	—	3	2	no	—
264	C₅×#124	—	3	2	no	—
265	C₅×#124	—	3	2	no	—
266	C₅×#124	—	3	2	no	—
267	C₅×#124	—	3	2	no	—
268	C₅×#124	—	3	2	no	—
269	C₅×#124	C₂×D₃	1	2	yes	complemented
270	C₅×#123	—	3	2	no	—
271	C₅×#123	—	3	2	no	—
272	C₅×#123	—	3	2	no	—
273	C₅×#123	—	3	2	no	—
274	C₅×#123	—	3	2	no	—
275	C₅×#123	—	3	2	no	—
276	C₅×#123	—	3	2	no	—
277	C₅×#123	C₂×D₃	1	2	yes	complemented
278	C₅×C₂²⋊Q₈	—	3	1	no	—
279	C₅×C₂²⋊Q₈	—	3	1	no	—
280	C₅×C₂²⋊Q₈	—	3	2	no	—
281	C₅×C₂²⋊Q₈	—	3	1	no	—
282	C₅×C₂²⋊Q₈	—	3	2	no	—
283	C₅×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
284	C₅×#121	—	3	2	no	—
285	C₅×#121	—	3	2	no	—
286	C₅×#121	—	3	2	no	—
287	C₅×#121	—	3	1	no	—
288	C₅×#121	—	3	2	no	—
289	C₅×#121	—	3	1	no	—
290	C₅×#121	—	3	2	no	—
291	C₅×#121	—	3	2	no	—
292	C₅×#121	—	3	1	no	—
293	C₅×#121	—	3	2	no	—
294	C₅×#121	—	3	2	no	—
295	C₅×#121	—	3	2	no	—
296	C₅×#121	C₂×D₃	1	2	yes	complemented
297	C₅×#121	C₂×D₃	1	1	yes	characteristic, complemented
298	C₅×#120	—	3	2	no	—
299	C₅×#120	—	3	2	no	—
300	C₅×#120	—	3	2	no	—
301	C₅×#120	—	3	2	no	—
302	C₅×#120	—	3	2	no	—
303	C₅×#120	—	3	2	no	—
304	C₅×#120	—	3	2	no	—
305	C₅×#120	C₂×D₃	1	2	yes	complemented
306	C₄×C₅×D₄	—	3	2	no	—
307	C₄×C₅×D₄	—	3	2	no	—
308	C₄×C₅×D₄	—	3	2	no	—
309	C₄×C₅×D₄	—	3	2	no	—
310	C₄×C₅×D₄	—	3	2	no	—
311	C₄×C₅×D₄	—	3	2	no	—
312	C₄×C₅×D₄	—	3	2	no	—
313	C₄×C₅×D₄	C₂×D₃	1	2	yes	complemented
314	C₂×C₅×C₄⋊C₄	—	3	2	no	—
315	C₂×C₅×C₄⋊C₄	—	3	2	no	—
316	C₂×C₅×C₄⋊C₄	—	3	1	no	—
317	C₂×C₅×C₄⋊C₄	—	3	1	no	—
318	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
319	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
320	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
321	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
322	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
323	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
324	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
325	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
326	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
327	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
328	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
329	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
330	C₂×C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
331	C₂×C₄²×C₅	—	3	2	no	—
332	C₂×#538	—	3	1	no	Sylow
333	C₂³×C₃×C₅	—	2	2	no	—
334	C₂³×C₃×C₅	—	4	1	no	—
335	C₂³×C₃×C₅	—	4	1	no	—
336	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
337	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
338	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
339	C₂²×C₅×D₃	—	2	2	no	—
340	C₂²×C₅×D₃	—	2	2	no	—
341	C₂²×C₅×D₃	—	2	2	no	—
342	C₂²×C₅×D₃	—	2	4	no	—
343	C₂²×C₅×D₃	—	2	4	no	—
344	C₂²×C₅×D₃	—	2	4	no	—
345	C₂²×C₅×D₃	—	2	4	no	—
346	C₂²×C₅×D₃	—	2	4	no	—
347	C₂²×C₅×D₃	—	2	4	no	—
348	C₂²×C₅×D₃	—	2	4	no	—
349	C₂²×C₅×D₃	—	4	2	no	—
350	C₂²×C₅×D₃	—	4	2	no	—
351	C₂²×C₅×D₃	—	4	1	no	—
352	C₂²×C₅×D₃	—	4	1	no	—
353	C₂²×C₅×D₃	—	4	16	no	—
354	C₂²×C₅×D₃	#41	1	4	yes	—
355	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
356	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
357	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
358	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
359	C₃×C₅×Q₈	—	4	1	no	—
360	C₃×C₅×D₄	—	2	4	no	—
361	C₃×C₅×D₄	—	4	2	no	—
362	C₃×C₅×D₄	—	4	2	no	—
363	C₃×C₅×D₄	—	4	1	no	—
364	C₂×C₃×C₄×C₅	—	4	1	no	—
365	C₂×C₃×C₄×C₅	—	4	1	no	—
366	C₂×C₃×C₄×C₅	—	4	2	no	—
367	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
368	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
369	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
370	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
371	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
372	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
373	C₅×#67	—	2	4	no	—
374	C₅×#67	—	2	4	no	—
375	C₅×#67	—	4	2	no	—
376	C₅×#67	—	4	2	no	—
377	C₅×#67	—	4	2	no	—
378	C₅×#67	—	4	2	no	—
379	C₅×#67	—	4	2	no	—
380	C₂×C₅×Dic₃	—	4	1	no	—
381	C₂×C₅×Dic₃	—	4	1	no	—
382	C₂×C₅×Dic₃	—	4	2	no	—
383	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
384	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
385	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
386	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
387	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
388	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
389	C₅×D₁₂	—	2	4	no	—
390	C₅×D₁₂	—	4	2	no	—
391	C₅×D₁₂	—	4	2	no	—
392	C₅×D₁₂	—	4	1	no	—
393	C₄×C₅×D₃	—	2	4	no	—
394	C₄×C₅×D₃	—	2	4	no	—
395	C₄×C₅×D₃	—	2	2	no	—
396	C₄×C₅×D₃	—	2	4	no	—
397	C₄×C₅×D₃	—	2	2	no	—
398	C₄×C₅×D₃	—	2	4	no	—
399	C₄×C₅×D₃	—	4	1	no	—
400	C₄×C₅×D₃	—	4	2	no	—
401	C₄×C₅×D₃	—	4	1	no	—
402	C₄×C₅×D₃	—	4	2	no	—
403	C₄×C₅×D₃	—	4	2	no	—
404	C₅×Dic₆	—	4	2	no	—
405	C₅×Dic₆	—	4	1	no	—
406	C₂⁴×D₃	C₂²×C₅	1	1	yes	characteristic
407	C₂×D₃×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
408	C₂×D₃×D₄	C₂²×C₅	1	2	yes	—
409	C₂×D₃×D₄	C₂²×C₅	1	2	yes	—
410	C₂×D₃×D₄	C₂²×C₅	1	2	yes	—
411	C₂×D₃×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
412	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
413	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
414	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	complemented
415	C₃×#126	C₂²×C₅	1	2	yes	complemented
416	C₃×#124	C₂²×C₅	1	2	yes	complemented
417	C₃×#123	C₂²×C₅	1	2	yes	complemented
418	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
419	C₃×#121	C₂²×C₅	1	2	yes	complemented
420	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
421	C₃×#120	C₂²×C₅	1	2	yes	complemented
422	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
423	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
424	#953	C₂²×C₅	1	2	yes	complemented
425	C₂×#217	C₂²×C₅	1	1	yes	characteristic, complemented
426	#947	C₂²×C₅	1	2	yes	complemented
427	#946	C₂²×C₅	1	1	yes	characteristic, complemented
428	#939	C₂²×C₅	1	2	yes	complemented
429	#939	C₂²×C₅	1	2	yes	complemented
430	#939	C₂²×C₅	1	2	yes	complemented
431	#938	C₂²×C₅	1	2	yes	complemented
432	#938	C₂²×C₅	1	1	yes	characteristic, complemented
433	#937	C₂²×C₅	1	2	yes	complemented
434	#937	C₂²×C₅	1	2	yes	complemented
435	#937	C₂²×C₅	1	2	yes	complemented
436	#936	C₂²×C₅	1	2	yes	complemented
437	#935	C₂²×C₅	1	2	yes	complemented
438	D₄×Dic₃	C₂²×C₅	1	2	yes	complemented
439	#930	C₂²×C₅	1	2	yes	complemented
440	#930	C₂²×C₅	1	1	yes	characteristic, complemented
441	#929	C₂²×C₅	1	2	yes	complemented
442	C₄×#67	C₂²×C₅	1	2	yes	complemented
443	C₄×#67	C₂²×C₅	1	2	yes	complemented
444	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
445	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
446	#924	C₂²×C₅	1	1	yes	characteristic, complemented
447	#898	C₂²×C₅	1	2	yes	complemented
448	#898	C₂²×C₅	1	2	yes	complemented
449	#898	C₂²×C₅	1	2	yes	complemented
450	#897	C₂²×C₅	1	1	yes	characteristic, complemented
451	#896	C₂²×C₅	1	2	yes	complemented
452	#895	C₂²×C₅	1	2	yes	complemented
453	#895	C₂²×C₅	1	1	yes	characteristic, complemented
454	#894	C₂²×C₅	1	2	yes	complemented
455	#894	C₂²×C₅	1	2	yes	complemented
456	#893	C₂²×C₅	1	2	yes	complemented
457	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
458	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
459	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
460	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
461	#886	C₂²×C₅	1	2	yes	complemented
462	#885	C₂²×C₅	1	2	yes	complemented
463	#885	C₂²×C₅	1	2	yes	complemented
464	#885	C₂²×C₅	1	2	yes	complemented
465	#885	C₂²×C₅	1	2	yes	complemented
466	#884	C₂²×C₅	1	2	yes	complemented
467	#884	C₂²×C₅	1	2	yes	complemented
468	#884	C₂²×C₅	1	2	yes	complemented
469	#883	C₂²×C₅	1	2	yes	complemented
470	#883	C₂²×C₅	1	2	yes	complemented
471	#882	C₂²×C₅	1	2	yes	complemented
472	#882	C₂²×C₅	1	2	yes	complemented
473	#882	C₂²×C₅	1	2	yes	complemented
474	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
475	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
476	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
477	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
478	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
479	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
480	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
481	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
482	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
483	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
484	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
485	#879	C₂²×C₅	1	2	yes	complemented
486	#879	C₂²×C₅	1	2	yes	complemented
487	#879	C₂²×C₅	1	2	yes	complemented
488	#878	C₂²×C₅	1	2	yes	complemented
489	#876	C₂²×C₅	1	2	yes	complemented
490	#875	C₂²×C₅	1	2	yes	complemented
491	C₄×D₁₂	C₂²×C₅	1	2	yes	complemented
492	C₄²×D₃	C₂²×C₅	1	2	yes	complemented
493	C₂⁴×C₅	—	3	1	no	—
494	C₂⁴×C₅	—	3	2	no	—
495	C₂⁴×C₅	—	3	2	no	—
496	C₂⁴×C₅	—	3	2	no	—
497	C₂⁴×C₅	—	3	1	no	—
498	C₂⁴×C₅	—	6	4	no	—
499	C₂⁴×C₅	—	12	2	no	—
500	C₂⁴×C₅	—	12	2	no	—
501	C₂⁴×C₅	C₂²×D₃	1	1	yes	characteristic
502	C₂×C₅×Q₈	—	3	1	no	—
503	C₂×C₅×Q₈	—	3	2	no	—
504	C₂×C₅×Q₈	—	12	2	no	—
505	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
506	C₂×C₅×D₄	—	3	2	no	—
507	C₂×C₅×D₄	—	3	2	no	—
508	C₂×C₅×D₄	—	3	2	no	—
509	C₂×C₅×D₄	—	3	2	no	—
510	C₂×C₅×D₄	—	3	2	no	—
511	C₂×C₅×D₄	—	3	2	no	—
512	C₂×C₅×D₄	—	3	2	no	—
513	C₂×C₅×D₄	—	3	2	no	—
514	C₂×C₅×D₄	—	3	2	no	—
515	C₂×C₅×D₄	—	3	2	no	—
516	C₂×C₅×D₄	—	3	1	no	—
517	C₂×C₅×D₄	—	6	8	no	—
518	C₂×C₅×D₄	—	12	4	no	—
519	C₂×C₅×D₄	—	12	2	no	—
520	C₂×C₅×D₄	—	12	4	no	—
521	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
522	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
523	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
524	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
525	C₂²×C₄×C₅	—	3	1	no	—
526	C₂²×C₄×C₅	—	3	1	no	—
527	C₂²×C₄×C₅	—	3	2	no	—
528	C₂²×C₄×C₅	—	3	2	no	—
529	C₂²×C₄×C₅	—	3	2	no	—
530	C₂²×C₄×C₅	—	3	2	no	—
531	C₂²×C₄×C₅	—	3	1	no	—
532	C₂²×C₄×C₅	—	3	1	no	—
533	C₂²×C₄×C₅	—	3	2	no	—
534	C₂²×C₄×C₅	—	3	2	no	—
535	C₂²×C₄×C₅	—	3	1	no	—
536	C₂²×C₄×C₅	—	3	1	no	—
537	C₂²×C₄×C₅	—	3	2	no	—
538	C₂²×C₄×C₅	—	3	2	no	—
539	C₂²×C₄×C₅	—	12	2	no	—
540	C₂²×C₄×C₅	—	12	2	no	—
541	C₂²×C₄×C₅	—	12	4	no	—
542	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
543	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
544	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	complemented
545	C₅×C₄⋊C₄	—	3	2	no	—
546	C₅×C₄⋊C₄	—	3	2	no	—
547	C₅×C₄⋊C₄	—	3	2	no	—
548	C₅×C₄⋊C₄	—	3	2	no	—
549	C₅×C₄⋊C₄	—	3	2	no	—
550	C₅×C₄⋊C₄	—	3	2	no	—
551	C₅×C₄⋊C₄	—	3	2	no	—
552	C₅×C₄⋊C₄	—	3	1	no	—
553	C₅×C₄⋊C₄	—	3	2	no	—
554	C₅×C₄⋊C₄	—	3	1	no	—
555	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
556	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
557	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
558	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
559	C₅×C₂²⋊C₄	—	3	2	no	—
560	C₅×C₂²⋊C₄	—	3	2	no	—
561	C₅×C₂²⋊C₄	—	3	2	no	—
562	C₅×C₂²⋊C₄	—	3	2	no	—
563	C₅×C₂²⋊C₄	—	3	2	no	—
564	C₅×C₂²⋊C₄	—	3	2	no	—
565	C₅×C₂²⋊C₄	—	3	2	no	—
566	C₅×C₂²⋊C₄	—	3	2	no	—
567	C₅×C₂²⋊C₄	—	3	2	no	—
568	C₅×C₂²⋊C₄	—	3	2	no	—
569	C₅×C₂²⋊C₄	—	3	2	no	—
570	C₅×C₂²⋊C₄	—	3	2	no	—
571	C₅×C₂²⋊C₄	—	3	2	no	—
572	C₅×C₂²⋊C₄	—	3	2	no	—
573	C₅×C₂²⋊C₄	—	3	2	no	—
574	C₅×C₂²⋊C₄	—	3	2	no	—
575	C₅×C₂²⋊C₄	—	3	2	no	—
576	C₅×C₂²⋊C₄	—	3	2	no	—
577	C₅×C₂²⋊C₄	—	3	2	no	—
578	C₅×C₂²⋊C₄	—	3	2	no	—
579	C₅×C₂²⋊C₄	—	3	2	no	—
580	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
581	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
582	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
583	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
584	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
585	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
586	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
587	C₄²×C₅	—	3	2	no	—
588	C₄²×C₅	—	3	2	no	—
589	C₄²×C₅	—	3	2	no	—
590	C₄²×C₅	C₂²×D₃	1	2	yes	complemented
591	#538	—	3	2	no	—
592	#538	—	3	2	no	—
593	#538	—	3	2	no	—
594	#538	—	3	1	no	—
595	#538	—	3	2	no	—
596	#538	—	3	1	no	—
597	#538	—	3	2	no	—
598	#538	—	3	2	no	—
599	#538	—	3	1	no	—
600	#538	C₅×D₃	1	1	yes	characteristic, direct product factor
601	C₂×#126	—	3	2	no	—
602	C₂×#124	—	3	2	no	—
603	C₂×#123	—	3	2	no	—
604	C₂×C₂²⋊Q₈	—	3	1	no	—
605	C₂×#121	—	3	2	no	—
606	C₂×#121	—	3	1	no	—
607	C₂×#120	—	3	2	no	—
608	C₂×C₄×D₄	—	3	2	no	—
609	C₂²×C₂²⋊C₄	—	3	1	no	—
610	C₂²×C₃×C₅	—	2	1	no	—
611	C₂²×C₃×C₅	—	2	1	no	—
612	C₂²×C₃×C₅	—	2	2	no	—
613	C₂²×C₃×C₅	—	2	2	no	—
614	C₂²×C₃×C₅	—	2	2	no	—
615	C₂²×C₃×C₅	—	2	2	no	—
616	C₂²×C₃×C₅	—	2	2	no	—
617	C₂²×C₃×C₅	—	2	2	no	—
618	C₂²×C₃×C₅	—	4	4	no	—
619	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
620	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
621	C₂×C₅×D₃	—	2	1	no	—
622	C₂×C₅×D₃	—	2	1	no	—
623	C₂×C₅×D₃	—	2	8	no	—
624	C₂×C₅×D₃	—	2	2	no	—
625	C₂×C₅×D₃	—	2	2	no	—
626	C₂×C₅×D₃	—	2	2	no	—
627	C₂×C₅×D₃	—	2	2	no	—
628	C₂×C₅×D₃	—	2	2	no	—
629	C₂×C₅×D₃	—	2	2	no	—
630	C₂×C₅×D₃	—	4	8	no	—
631	C₂×C₅×D₃	—	4	4	no	—
632	C₂×C₅×D₃	—	4	8	no	—
633	C₂×C₅×D₃	—	4	8	no	—
634	C₂×C₅×D₃	C₂×#41	1	2	yes	—
635	C₂×C₅×D₃	C₂×#41	1	2	yes	—
636	C₂×C₅×D₃	H(5,𝔽₂)	1	2	yes	—
637	C₂×C₅×D₃	H(5,𝔽₂)	1	2	yes	—
638	C₃×C₄×C₅	—	2	2	no	—
639	C₃×C₄×C₅	—	2	1	no	—
640	C₃×C₄×C₅	—	2	2	no	—
641	C₃×C₄×C₅	—	2	2	no	—
642	C₃×C₄×C₅	—	2	1	no	—
643	C₃×C₄×C₅	—	2	2	no	—
644	C₅×Dic₃	—	2	2	no	—
645	C₅×Dic₃	—	2	1	no	—
646	C₅×Dic₃	—	2	2	no	—
647	C₅×Dic₃	—	2	2	no	—
648	C₅×Dic₃	—	2	1	no	—
649	C₅×Dic₃	—	2	2	no	—
650	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
651	C₂³×D₃	—	2	4	no	—
652	C₂³×D₃	—	4	2	no	—
653	C₂³×D₃	—	4	2	no	—
654	C₂³×D₃	C₂³×C₅	1	2	yes	—
655	C₂³×D₃	C₂³×C₅	1	2	yes	—
656	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
657	C₂³×D₃	C₂³×C₅	1	2	yes	—
658	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
659	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic, complemented
660	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
661	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
662	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
663	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic, complemented
664	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
665	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
666	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	complemented
667	C₂×#67	C₂³×C₅	1	2	yes	—
668	C₂×#67	C₂³×C₅	1	2	yes	—
669	C₂×#67	C₂³×C₅	1	2	yes	—
670	C₂×#67	C₂³×C₅	1	2	yes	—
671	C₂×#67	C₂³×C₅	1	2	yes	—
672	C₂×#67	C₂³×C₅	1	2	yes	—
673	C₂×#67	C₂³×C₅	1	2	yes	complemented
674	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
675	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
676	C₂²×Dic₃	C₂³×C₅	1	2	yes	complemented
677	D₃×Q₈	—	4	2	no	—
678	D₃×D₄	—	2	8	no	—
679	D₃×D₄	—	4	4	no	—
680	D₃×D₄	—	4	4	no	—
681	D₃×D₄	—	4	2	no	—
682	C₂×D₁₂	C₂³×C₅	1	2	yes	—
683	C₂×D₁₂	C₂³×C₅	1	2	yes	—
684	C₂×D₁₂	C₂³×C₅	1	2	yes	—
685	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic, complemented
686	C₂×C₄×D₃	—	4	2	no	—
687	C₂×C₄×D₃	—	4	2	no	—
688	C₂×C₄×D₃	—	4	4	no	—
689	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
690	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
691	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
692	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
693	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
694	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
695	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
696	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
697	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
698	C₂×C₄×D₃	C₂³×C₅	1	2	yes	complemented
699	C₂×C₄×D₃	C₂³×C₅	1	2	yes	complemented
700	C₂×Dic₆	C₂³×C₅	1	2	yes	complemented
701	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic, complemented
702	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	complemented
703	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic, complemented
704	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	complemented
705	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic, complemented
706	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
707	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
708	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
709	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
710	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
711	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	complemented
712	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	complemented
713	C₃×C₄²	C₂³×C₅	1	2	yes	complemented
714	#217	C₂³×C₅	1	2	yes	—
715	#217	C₂³×C₅	1	2	yes	—
716	#217	C₂³×C₅	1	2	yes	—
717	#217	C₂³×C₅	1	2	yes	—
718	#217	C₂³×C₅	1	2	yes	—
719	#217	C₂³×C₅	1	2	yes	complemented
720	#217	C₂³×C₅	1	2	yes	complemented
721	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
722	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
723	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
724	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
725	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
726	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
727	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
728	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
729	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
730	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
731	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	complemented
732	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	complemented
733	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	complemented
734	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	complemented
735	C₄⋊Dic₃	C₂³×C₅	1	2	yes	complemented
736	C₄⋊Dic₃	C₂³×C₅	1	2	yes	complemented
737	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic, complemented
738	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic, complemented
739	Dic₃⋊C₄	C₂³×C₅	1	2	yes	complemented
740	Dic₃⋊C₄	C₂³×C₅	1	2	yes	complemented
741	Dic₃⋊C₄	C₂³×C₅	1	2	yes	complemented
742	Dic₃⋊C₄	C₂³×C₅	1	2	yes	complemented
743	Dic₃⋊C₄	C₂³×C₅	1	2	yes	complemented
744	Dic₃⋊C₄	C₂³×C₅	1	2	yes	complemented
745	C₄×Dic₃	C₂³×C₅	1	2	yes	complemented
746	C₄×Dic₃	C₂³×C₅	1	2	yes	complemented
747	C₄×Dic₃	C₂³×C₅	1	2	yes	complemented
748	C₂³×C₅	—	2	2	no	—
749	C₂³×C₅	—	3	1	no	—
750	C₂³×C₅	—	3	4	no	—
751	C₂³×C₅	—	3	1	no	—
752	C₂³×C₅	—	3	2	no	—
753	C₂³×C₅	—	3	2	no	—
754	C₂³×C₅	—	4	1	no	—
755	C₂³×C₅	—	4	1	no	—
756	C₂³×C₅	—	6	2	no	—
757	C₂³×C₅	—	6	2	no	—
758	C₂³×C₅	—	6	4	no	—
759	C₂³×C₅	—	6	4	no	—
760	C₂³×C₅	—	6	4	no	—
761	C₂³×C₅	—	6	4	no	—
762	C₂³×C₅	—	6	4	no	—
763	C₂³×C₅	—	6	4	no	—
764	C₂³×C₅	—	6	4	no	—
765	C₂³×C₅	—	6	2	no	—
766	C₂³×C₅	—	12	1	no	—
767	C₂³×C₅	—	12	1	no	—
768	C₂³×C₅	—	12	2	no	—
769	C₂³×C₅	—	12	2	no	—
770	C₂³×C₅	—	12	16	no	—
771	C₂³×C₅	C₂³×D₃	1	2	yes	—
772	C₂³×C₅	C₂³×D₃	1	2	yes	—
773	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
774	C₅×Q₈	—	4	1	no	—
775	C₅×Q₈	—	12	1	no	—
776	C₅×Q₈	—	12	2	no	—
777	C₅×D₄	—	2	4	no	—
778	C₅×D₄	—	4	2	no	—
779	C₅×D₄	—	4	2	no	—
780	C₅×D₄	—	4	1	no	—
781	C₅×D₄	—	6	4	no	—
782	C₅×D₄	—	6	4	no	—
783	C₅×D₄	—	6	4	no	—
784	C₅×D₄	—	12	2	no	—
785	C₅×D₄	—	12	1	no	—
786	C₅×D₄	—	12	2	no	—
787	C₅×D₄	—	12	2	no	—
788	C₅×D₄	—	12	2	no	—
789	C₅×D₄	—	12	2	no	—
790	C₅×D₄	—	12	2	no	—
791	C₅×D₄	—	12	2	no	—
792	C₂×C₄×C₅	—	3	2	no	—
793	C₂×C₄×C₅	—	3	2	no	—
794	C₂×C₄×C₅	—	3	2	no	—
795	C₂×C₄×C₅	—	3	1	no	—
796	C₂×C₄×C₅	—	3	1	no	—
797	C₂×C₄×C₅	—	3	2	no	—
798	C₂×C₄×C₅	—	4	1	no	—
799	C₂×C₄×C₅	—	4	1	no	—
800	C₂×C₄×C₅	—	4	2	no	—
801	C₂×C₄×C₅	—	6	4	no	—
802	C₂×C₄×C₅	—	6	2	no	—
803	C₂×C₄×C₅	—	6	4	no	—
804	C₂×C₄×C₅	—	6	2	no	—
805	C₂×C₄×C₅	—	6	4	no	—
806	C₂×C₄×C₅	—	6	4	no	—
807	C₂×C₄×C₅	—	12	2	no	—
808	C₂×C₄×C₅	—	12	2	no	—
809	C₂×C₄×C₅	—	12	2	no	—
810	C₂×C₄×C₅	—	12	1	no	—
811	C₂×C₄×C₅	—	12	1	no	—
812	C₂×C₄×C₅	—	12	1	no	—
813	C₂×C₄×C₅	—	12	2	no	—
814	C₂×C₄×C₅	—	12	1	no	—
815	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
816	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
817	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
818	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
819	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
820	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
821	C₂⁵	—	3	1	no	—
822	C₂²×Q₈	—	3	1	no	—
823	C₂²×D₄	—	3	2	no	—
824	C₂²×D₄	—	3	2	no	—
825	C₂²×D₄	—	3	2	no	—
826	C₂²×D₄	—	3	1	no	—
827	C₂³×C₄	—	3	1	no	—
828	C₂³×C₄	—	3	1	no	—
829	C₂³×C₄	—	3	2	no	—
830	#126	—	3	2	no	—
831	#126	—	3	2	no	—
832	#126	—	3	2	no	—
833	#126	—	3	2	no	—
834	#126	—	3	2	no	—
835	#126	—	3	2	no	—
836	#126	—	3	2	no	—
837	#126	C₂×C₅×D₃	1	2	yes	complemented
838	#124	—	3	2	no	—
839	#124	—	3	2	no	—
840	#124	—	3	2	no	—
841	#124	—	3	2	no	—
842	#124	—	3	2	no	—
843	#124	—	3	2	no	—
844	#124	—	3	2	no	—
845	#124	C₂×C₅×D₃	1	2	yes	complemented
846	#123	—	3	2	no	—
847	#123	—	3	2	no	—
848	#123	—	3	2	no	—
849	#123	—	3	2	no	—
850	#123	—	3	2	no	—
851	#123	—	3	2	no	—
852	#123	—	3	2	no	—
853	#123	C₂×C₅×D₃	1	2	yes	complemented
854	C₂²⋊Q₈	—	3	1	no	—
855	C₂²⋊Q₈	—	3	1	no	—
856	C₂²⋊Q₈	—	3	2	no	—
857	C₂²⋊Q₈	—	3	1	no	—
858	C₂²⋊Q₈	—	3	2	no	—
859	C₂²⋊Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
860	#121	—	3	2	no	—
861	#121	—	3	2	no	—
862	#121	—	3	2	no	—
863	#121	—	3	1	no	—
864	#121	—	3	2	no	—
865	#121	—	3	1	no	—
866	#121	—	3	2	no	—
867	#121	—	3	2	no	—
868	#121	—	3	1	no	—
869	#121	—	3	2	no	—
870	#121	—	3	2	no	—
871	#121	—	3	2	no	—
872	#121	C₂×C₅×D₃	1	2	yes	complemented
873	#121	C₂×C₅×D₃	1	1	yes	characteristic, complemented
874	#120	—	3	2	no	—
875	#120	—	3	2	no	—
876	#120	—	3	2	no	—
877	#120	—	3	2	no	—
878	#120	—	3	2	no	—
879	#120	—	3	2	no	—
880	#120	—	3	2	no	—
881	#120	C₂×C₅×D₃	1	2	yes	complemented
882	C₄×D₄	—	3	2	no	—
883	C₄×D₄	—	3	2	no	—
884	C₄×D₄	—	3	2	no	—
885	C₄×D₄	—	3	2	no	—
886	C₄×D₄	—	3	2	no	—
887	C₄×D₄	—	3	2	no	—
888	C₄×D₄	—	3	2	no	—
889	C₄×D₄	C₂×C₅×D₃	1	2	yes	complemented
890	C₂×C₄⋊C₄	—	3	2	no	—
891	C₂×C₄⋊C₄	—	3	2	no	—
892	C₂×C₄⋊C₄	—	3	1	no	—
893	C₂×C₄⋊C₄	—	3	1	no	—
894	C₂×C₂²⋊C₄	—	3	1	no	—
895	C₂×C₂²⋊C₄	—	3	1	no	—
896	C₂×C₂²⋊C₄	—	3	1	no	—
897	C₂×C₂²⋊C₄	—	3	2	no	—
898	C₂×C₂²⋊C₄	—	3	2	no	—
899	C₂×C₂²⋊C₄	—	3	2	no	—
900	C₂×C₂²⋊C₄	—	3	2	no	—
901	C₂×C₂²⋊C₄	—	3	2	no	—
902	C₂×C₂²⋊C₄	—	3	2	no	—
903	C₂×C₂²⋊C₄	—	3	2	no	—
904	C₂×C₂²⋊C₄	—	3	2	no	—
905	C₂×C₂²⋊C₄	—	3	2	no	—
906	C₂×C₂²⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
907	C₂×C₄²	—	3	2	no	—
908	C₂×C₃×C₅	—	2	2	no	—
909	C₂×C₃×C₅	—	4	2	no	—
910	C₂×C₃×C₅	—	4	2	no	—
911	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
912	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
913	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
914	C₅×D₃	—	2	2	no	—
915	C₅×D₃	—	4	2	no	—
916	C₅×D₃	—	4	2	no	—
917	C₅×D₃	#538	1	4	yes	direct product factor
918	C₂³×C₃	—	2	2	no	—
919	C₂³×C₃	—	4	1	no	—
920	C₂³×C₃	—	4	1	no	—
921	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
922	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
923	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
924	C₂²×D₃	—	2	2	no	—
925	C₂²×D₃	—	2	2	no	—
926	C₂²×D₃	—	2	2	no	—
927	C₂²×D₃	—	2	4	no	—
928	C₂²×D₃	—	2	4	no	—
929	C₂²×D₃	—	2	4	no	—
930	C₂²×D₃	—	2	4	no	—
931	C₂²×D₃	—	2	4	no	—
932	C₂²×D₃	—	2	4	no	—
933	C₂²×D₃	—	2	4	no	—
934	C₂²×D₃	—	4	2	no	—
935	C₂²×D₃	—	4	2	no	—
936	C₂²×D₃	—	4	1	no	—
937	C₂²×D₃	—	4	1	no	—
938	C₂²×D₃	—	4	16	no	—
939	C₂²×D₃	C₅×#41	1	4	yes	—
940	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
941	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
942	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
943	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
944	C₃×Q₈	—	4	1	no	—
945	C₃×D₄	—	2	4	no	—
946	C₃×D₄	—	4	2	no	—
947	C₃×D₄	—	4	2	no	—
948	C₃×D₄	—	4	1	no	—
949	C₂×C₃×C₄	—	4	1	no	—
950	C₂×C₃×C₄	—	4	1	no	—
951	C₂×C₃×C₄	—	4	2	no	—
952	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
953	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
954	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
955	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
956	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
957	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
958	#67	—	2	4	no	—
959	#67	—	2	4	no	—
960	#67	—	4	2	no	—
961	#67	—	4	2	no	—
962	#67	—	4	2	no	—
963	#67	—	4	2	no	—
964	#67	—	4	2	no	—
965	C₂×Dic₃	—	4	1	no	—
966	C₂×Dic₃	—	4	1	no	—
967	C₂×Dic₃	—	4	2	no	—
968	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
969	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
970	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
971	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
972	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
973	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
974	D₁₂	—	2	4	no	—
975	D₁₂	—	4	2	no	—
976	D₁₂	—	4	2	no	—
977	D₁₂	—	4	1	no	—
978	C₄×D₃	—	2	4	no	—
979	C₄×D₃	—	2	4	no	—
980	C₄×D₃	—	2	2	no	—
981	C₄×D₃	—	2	4	no	—
982	C₄×D₃	—	2	2	no	—
983	C₄×D₃	—	2	4	no	—
984	C₄×D₃	—	4	1	no	—
985	C₄×D₃	—	4	2	no	—
986	C₄×D₃	—	4	1	no	—
987	C₄×D₃	—	4	2	no	—
988	C₄×D₃	—	4	2	no	—
989	Dic₆	—	4	2	no	—
990	Dic₆	—	4	1	no	—
991	C₂²×C₅	—	2	1	no	—
992	C₂²×C₅	—	2	1	no	—
993	C₂²×C₅	—	2	2	no	—
994	C₂²×C₅	—	2	2	no	—
995	C₂²×C₅	—	2	2	no	—
996	C₂²×C₅	—	2	2	no	—
997	C₂²×C₅	—	2	2	no	—
998	C₂²×C₅	—	2	2	no	—
999	C₂²×C₅	—	3	2	no	—
1000	C₂²×C₅	—	3	2	no	—
1001	C₂²×C₅	—	3	2	no	—
1002	C₂²×C₅	—	3	2	no	—
1003	C₂²×C₅	—	4	4	no	—
1004	C₂²×C₅	—	6	8	no	—
1005	C₂²×C₅	—	6	1	no	—
1006	C₂²×C₅	—	6	1	no	—
1007	C₂²×C₅	—	6	2	no	—
1008	C₂²×C₅	—	6	2	no	—
1009	C₂²×C₅	—	6	2	no	—
1010	C₂²×C₅	—	6	2	no	—
1011	C₂²×C₅	—	6	2	no	—
1012	C₂²×C₅	—	6	2	no	—
1013	C₂²×C₅	—	12	4	no	—
1014	C₂²×C₅	—	12	8	no	—
1015	C₂²×C₅	—	12	8	no	—
1016	C₂²×C₅	—	12	8	no	—
1017	C₂²×C₅	D₃×#41	1	2	yes	—
1018	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1019	C₄×C₅	—	2	2	no	—
1020	C₄×C₅	—	2	2	no	—
1021	C₄×C₅	—	2	1	no	—
1022	C₄×C₅	—	2	2	no	—
1023	C₄×C₅	—	2	1	no	—
1024	C₄×C₅	—	2	2	no	—
1025	C₄×C₅	—	6	2	no	—
1026	C₄×C₅	—	6	2	no	—
1027	C₄×C₅	—	6	2	no	—
1028	C₄×C₅	—	6	1	no	—
1029	C₄×C₅	—	6	1	no	—
1030	C₄×C₅	—	6	2	no	—
1031	C₂⁴	—	3	1	no	—
1032	C₂⁴	—	3	2	no	—
1033	C₂⁴	—	3	2	no	—
1034	C₂⁴	—	3	2	no	—
1035	C₂⁴	—	3	1	no	—
1036	C₂⁴	—	6	4	no	—
1037	C₂⁴	—	12	2	no	—
1038	C₂⁴	—	12	2	no	—
1039	C₂⁴	C₂²×C₅×D₃	1	1	yes	characteristic
1040	C₂×Q₈	—	3	1	no	—
1041	C₂×Q₈	—	3	2	no	—
1042	C₂×Q₈	—	12	2	no	—
1043	C₂×Q₈	C₂²×C₅×D₃	1	1	yes	characteristic, complemented
1044	C₂×D₄	—	3	2	no	—
1045	C₂×D₄	—	3	2	no	—
1046	C₂×D₄	—	3	2	no	—
1047	C₂×D₄	—	3	2	no	—
1048	C₂×D₄	—	3	2	no	—
1049	C₂×D₄	—	3	2	no	—
1050	C₂×D₄	—	3	2	no	—
1051	C₂×D₄	—	3	2	no	—
1052	C₂×D₄	—	3	2	no	—
1053	C₂×D₄	—	3	2	no	—
1054	C₂×D₄	—	3	1	no	—
1055	C₂×D₄	—	6	8	no	—
1056	C₂×D₄	—	12	4	no	—
1057	C₂×D₄	—	12	2	no	—
1058	C₂×D₄	—	12	4	no	—
1059	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
1060	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
1061	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
1062	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic, complemented
1063	C₂²×C₄	—	3	1	no	—
1064	C₂²×C₄	—	3	1	no	—
1065	C₂²×C₄	—	3	2	no	—
1066	C₂²×C₄	—	3	2	no	—
1067	C₂²×C₄	—	3	2	no	—
1068	C₂²×C₄	—	3	2	no	—
1069	C₂²×C₄	—	3	1	no	—
1070	C₂²×C₄	—	3	1	no	—
1071	C₂²×C₄	—	3	2	no	—
1072	C₂²×C₄	—	3	2	no	—
1073	C₂²×C₄	—	3	1	no	—
1074	C₂²×C₄	—	3	1	no	—
1075	C₂²×C₄	—	3	2	no	—
1076	C₂²×C₄	—	3	2	no	—
1077	C₂²×C₄	—	12	2	no	—
1078	C₂²×C₄	—	12	2	no	—
1079	C₂²×C₄	—	12	4	no	—
1080	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	complemented
1083	C₄⋊C₄	—	3	2	no	—
1084	C₄⋊C₄	—	3	2	no	—
1085	C₄⋊C₄	—	3	2	no	—
1086	C₄⋊C₄	—	3	2	no	—
1087	C₄⋊C₄	—	3	2	no	—
1088	C₄⋊C₄	—	3	2	no	—
1089	C₄⋊C₄	—	3	2	no	—
1090	C₄⋊C₄	—	3	1	no	—
1091	C₄⋊C₄	—	3	2	no	—
1092	C₄⋊C₄	—	3	1	no	—
1093	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	complemented
1094	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	complemented
1095	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic, complemented
1096	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic, complemented
1097	C₂²⋊C₄	—	3	2	no	—
1098	C₂²⋊C₄	—	3	2	no	—
1099	C₂²⋊C₄	—	3	2	no	—
1100	C₂²⋊C₄	—	3	2	no	—
1101	C₂²⋊C₄	—	3	2	no	—
1102	C₂²⋊C₄	—	3	2	no	—
1103	C₂²⋊C₄	—	3	2	no	—
1104	C₂²⋊C₄	—	3	2	no	—
1105	C₂²⋊C₄	—	3	2	no	—
1106	C₂²⋊C₄	—	3	2	no	—
1107	C₂²⋊C₄	—	3	2	no	—
1108	C₂²⋊C₄	—	3	2	no	—
1109	C₂²⋊C₄	—	3	2	no	—
1110	C₂²⋊C₄	—	3	2	no	—
1111	C₂²⋊C₄	—	3	2	no	—
1112	C₂²⋊C₄	—	3	2	no	—
1113	C₂²⋊C₄	—	3	2	no	—
1114	C₂²⋊C₄	—	3	2	no	—
1115	C₂²⋊C₄	—	3	2	no	—
1116	C₂²⋊C₄	—	3	2	no	—
1117	C₂²⋊C₄	—	3	2	no	—
1118	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1119	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1120	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1121	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1122	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1123	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	complemented
1124	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	complemented
1125	C₄²	—	3	2	no	—
1126	C₄²	—	3	2	no	—
1127	C₄²	—	3	2	no	—
1128	C₄²	C₂²×C₅×D₃	1	2	yes	complemented
1129	C₃×C₅	C₂×#538	1	1	yes	characteristic, complemented, Hall
1130	C₂²×C₃	—	2	1	no	—
1131	C₂²×C₃	—	2	1	no	—
1132	C₂²×C₃	—	2	2	no	—
1133	C₂²×C₃	—	2	2	no	—
1134	C₂²×C₃	—	2	2	no	—
1135	C₂²×C₃	—	2	2	no	—
1136	C₂²×C₃	—	2	2	no	—
1137	C₂²×C₃	—	2	2	no	—
1138	C₂²×C₃	—	4	4	no	—
1139	C₂²×C₃	C₂×C₅×#41	1	2	yes	—
1140	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
1141	C₂×D₃	—	2	1	no	—
1142	C₂×D₃	—	2	1	no	—
1143	C₂×D₃	—	2	8	no	—
1144	C₂×D₃	—	2	2	no	—
1145	C₂×D₃	—	2	2	no	—
1146	C₂×D₃	—	2	2	no	—
1147	C₂×D₃	—	2	2	no	—
1148	C₂×D₃	—	2	2	no	—
1149	C₂×D₃	—	2	2	no	—
1150	C₂×D₃	—	4	8	no	—
1151	C₂×D₃	—	4	4	no	—
1152	C₂×D₃	—	4	8	no	—
1153	C₂×D₃	—	4	8	no	—
1154	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1155	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1156	C₂×D₃	C₅×H(5,𝔽₂)	1	2	yes	—
1157	C₂×D₃	C₅×H(5,𝔽₂)	1	2	yes	—
1158	C₃×C₄	—	2	2	no	—
1159	C₃×C₄	—	2	1	no	—
1160	C₃×C₄	—	2	2	no	—
1161	C₃×C₄	—	2	2	no	—
1162	C₃×C₄	—	2	1	no	—
1163	C₃×C₄	—	2	2	no	—
1164	Dic₃	—	2	2	no	—
1165	Dic₃	—	2	1	no	—
1166	Dic₃	—	2	2	no	—
1167	Dic₃	—	2	2	no	—
1168	Dic₃	—	2	1	no	—
1169	Dic₃	—	2	2	no	—
1170	C₂×C₅	—	2	2	no	—
1171	C₂×C₅	—	3	4	no	—
1172	C₂×C₅	—	4	2	no	—
1173	C₂×C₅	—	4	2	no	—
1174	C₂×C₅	—	6	2	no	—
1175	C₂×C₅	—	12	2	no	—
1176	C₂×C₅	—	12	2	no	—
1177	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1178	C₂×C₅	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1179	C₂×C₅	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1180	C₂³	—	2	2	no	—
1181	C₂³	—	3	1	no	—
1182	C₂³	—	3	4	no	—
1183	C₂³	—	3	1	no	—
1184	C₂³	—	3	2	no	—
1185	C₂³	—	3	2	no	—
1186	C₂³	—	4	1	no	—
1187	C₂³	—	4	1	no	—
1188	C₂³	—	6	2	no	—
1189	C₂³	—	6	2	no	—
1190	C₂³	—	6	4	no	—
1191	C₂³	—	6	4	no	—
1192	C₂³	—	6	4	no	—
1193	C₂³	—	6	4	no	—
1194	C₂³	—	6	4	no	—
1195	C₂³	—	6	4	no	—
1196	C₂³	—	6	4	no	—
1197	C₂³	—	6	2	no	—
1198	C₂³	—	12	1	no	—
1199	C₂³	—	12	1	no	—
1200	C₂³	—	12	2	no	—
1201	C₂³	—	12	2	no	—
1202	C₂³	—	12	16	no	—
1203	C₂³	C₂³×C₅×D₃	1	2	yes	—
1204	C₂³	C₂³×C₅×D₃	1	2	yes	—
1205	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1206	Q₈	—	4	1	no	—
1207	Q₈	—	12	1	no	—
1208	Q₈	—	12	2	no	—
1209	D₄	—	2	4	no	—
1210	D₄	—	4	2	no	—
1211	D₄	—	4	2	no	—
1212	D₄	—	4	1	no	—
1213	D₄	—	6	4	no	—
1214	D₄	—	6	4	no	—
1215	D₄	—	6	4	no	—
1216	D₄	—	12	2	no	—
1217	D₄	—	12	1	no	—
1218	D₄	—	12	2	no	—
1219	D₄	—	12	2	no	—
1220	D₄	—	12	2	no	—
1221	D₄	—	12	2	no	—
1222	D₄	—	12	2	no	—
1223	D₄	—	12	2	no	—
1224	C₂×C₄	—	3	2	no	—
1225	C₂×C₄	—	3	2	no	—
1226	C₂×C₄	—	3	2	no	—
1227	C₂×C₄	—	3	1	no	—
1228	C₂×C₄	—	3	1	no	—
1229	C₂×C₄	—	3	2	no	—
1230	C₂×C₄	—	4	1	no	—
1231	C₂×C₄	—	4	1	no	—
1232	C₂×C₄	—	4	2	no	—
1233	C₂×C₄	—	6	4	no	—
1234	C₂×C₄	—	6	2	no	—
1235	C₂×C₄	—	6	4	no	—
1236	C₂×C₄	—	6	2	no	—
1237	C₂×C₄	—	6	4	no	—
1238	C₂×C₄	—	6	4	no	—
1239	C₂×C₄	—	12	2	no	—
1240	C₂×C₄	—	12	2	no	—
1241	C₂×C₄	—	12	2	no	—
1242	C₂×C₄	—	12	1	no	—
1243	C₂×C₄	—	12	1	no	—
1244	C₂×C₄	—	12	1	no	—
1245	C₂×C₄	—	12	2	no	—
1246	C₂×C₄	—	12	1	no	—
1247	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1248	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1249	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1250	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1251	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1252	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1253	C₂×C₃	—	2	2	no	—
1254	C₂×C₃	—	4	2	no	—
1255	C₂×C₃	—	4	2	no	—
1256	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1257	C₂×C₃	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1258	C₂×C₃	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1259	D₃	—	2	2	no	—
1260	D₃	—	4	2	no	—
1261	D₃	—	4	2	no	—
1262	D₃	C₅×#538	1	4	yes	direct product factor
1263	C₅	D₃×#538	1	1	yes	characteristic, direct product factor, Sylow
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	2	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	2	2	no	—
1269	C₂²	—	2	2	no	—
1270	C₂²	—	2	2	no	—
1271	C₂²	—	2	2	no	—
1272	C₂²	—	3	2	no	—
1273	C₂²	—	3	2	no	—
1274	C₂²	—	3	2	no	—
1275	C₂²	—	3	2	no	—
1276	C₂²	—	4	4	no	—
1277	C₂²	—	6	8	no	—
1278	C₂²	—	6	1	no	—
1279	C₂²	—	6	1	no	—
1280	C₂²	—	6	2	no	—
1281	C₂²	—	6	2	no	—
1282	C₂²	—	6	2	no	—
1283	C₂²	—	6	2	no	—
1284	C₂²	—	6	2	no	—
1285	C₂²	—	6	2	no	—
1286	C₂²	—	12	4	no	—
1287	C₂²	—	12	8	no	—
1288	C₂²	—	12	8	no	—
1289	C₂²	—	12	8	no	—
1290	C₂²	C₅×D₃×#41	1	2	yes	—
1291	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	1	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	1	no	—
1297	C₄	—	2	2	no	—
1298	C₄	—	6	2	no	—
1299	C₄	—	6	2	no	—
1300	C₄	—	6	2	no	—
1301	C₄	—	6	1	no	—
1302	C₄	—	6	1	no	—
1303	C₄	—	6	2	no	—
1304	C₃	C₂×C₅×#538	1	1	yes	characteristic, complemented, Sylow
1305	C₂	—	2	2	no	—
1306	C₂	—	3	4	no	—
1307	C₂	—	4	2	no	—
1308	C₂	—	4	2	no	—
1309	C₂	—	6	2	no	—
1310	C₂	—	12	2	no	—
1311	C₂	—	12	2	no	—
1312	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1313	C₂	C₅×D₃×H(5,𝔽₂)	1	1	yes	characteristic
1314	C₂	C₅×D₃×H(5,𝔽₂)	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×#538	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₅×#538	D₃
hypocenter	C₃	C₂×C₅×#538
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₅ ◁ C₅×#538

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#538	C₂	semidirect
2. C₅×#5704	C₂	semidirect
3. C₅×D₃×#126	C₂	semidirect
4. C₅×#5678	C₂	semidirect
5. C₅×D₃×#124	C₂	semidirect
6. C₅×#5657	C₂	semidirect
7. C₅×D₃×#123	C₂	semidirect
8. C₅×#5644	C₂	semidirect
9. C₅×D₃×C₂²⋊Q₈	C₂	semidirect
10. C₅×#5617	C₂	semidirect
11. C₅×#5613	C₂	semidirect
12. C₅×D₃×#121	C₂	semidirect
13. C₅×D₃×#121	C₂	semidirect
14. C₅×#5593	C₂	semidirect
15. C₅×D₃×#120	C₂	semidirect
16. C₅×#5560	C₂	semidirect
17. C₄×C₅×D₃×D₄	C₂	semidirect
18. C₅×#5494	C₂	semidirect
19. C₂×C₅×D₃×C₂²⋊C₄	C₂	semidirect
22. C₂×C₅×D₃×Q₈	C₂²	semidirect
26. C₂×C₅×D₃×D₄	C₂²	semidirect
29. C₂²×C₄×C₅×D₃	C₂²	semidirect
30. C₃×C₅×#126	C₂²	semidirect
31. C₃×C₅×#124	C₂²	semidirect
32. C₃×C₅×#123	C₂²	semidirect
33. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
34. C₃×C₅×#121	C₂²	semidirect
35. C₃×C₅×#121	C₂²	semidirect
36. C₃×C₅×#120	C₂²	semidirect
37. C₃×C₄×C₅×D₄	C₂²	semidirect
38. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
39. C₅×#953	C₂²	semidirect
40. C₂×C₅×#217	C₂²	semidirect
41. C₅×#947	C₂²	semidirect
42. C₅×#946	C₂²	semidirect
43. C₅×#939	C₂²	semidirect
44. C₅×#939	C₂²	semidirect
45. C₅×#939	C₂²	semidirect
46. C₅×#938	C₂²	semidirect
47. C₅×#938	C₂²	semidirect
48. C₅×#937	C₂²	semidirect
49. C₅×#937	C₂²	semidirect
50. C₅×#937	C₂²	semidirect
51. C₅×#936	C₂²	semidirect
52. C₅×#935	C₂²	semidirect
53. C₅×D₄×Dic₃	C₂²	semidirect
54. C₅×#930	C₂²	semidirect
55. C₅×#930	C₂²	semidirect
56. C₅×#929	C₂²	semidirect
57. C₄×C₅×#67	C₂²	semidirect
58. C₄×C₅×#67	C₂²	semidirect
59. C₂×C₅×(C₂×D₃)⋊C₄	C₂²	semidirect
60. C₂×C₅×(C₂×D₃)⋊C₄	C₂²	semidirect
61. C₅×#924	C₂²	semidirect
62. C₅×#898	C₂²	semidirect
63. C₅×#898	C₂²	semidirect
64. C₅×#898	C₂²	semidirect
65. C₅×#897	C₂²	semidirect
66. C₅×#896	C₂²	semidirect
67. C₅×#895	C₂²	semidirect
68. C₅×#895	C₂²	semidirect
69. C₅×#894	C₂²	semidirect
70. C₅×#894	C₂²	semidirect
71. C₅×#893	C₂²	semidirect
72. C₅×D₃×C₄⋊C₄	C₂²	semidirect
73. C₅×D₃×C₄⋊C₄	C₂²	semidirect
74. C₅×D₃×C₄⋊C₄	C₂²	semidirect
75. C₅×D₃×C₄⋊C₄	C₂²	semidirect
76. C₅×#886	C₂²	semidirect
77. C₅×#885	C₂²	semidirect
78. C₅×#885	C₂²	semidirect
79. C₅×#885	C₂²	semidirect
80. C₅×#885	C₂²	semidirect
81. C₅×#884	C₂²	semidirect
82. C₅×#884	C₂²	semidirect
83. C₅×#884	C₂²	semidirect
84. C₅×#883	C₂²	semidirect
85. C₅×#883	C₂²	semidirect
86. C₅×#882	C₂²	semidirect
87. C₅×#882	C₂²	semidirect
88. C₅×#882	C₂²	semidirect
89. C₅×#67⋊C₄	C₂²	semidirect
90. C₅×#67⋊C₄	C₂²	semidirect
96. C₅×D₃×C₂²⋊C₄	C₂²	semidirect
97. C₅×D₃×C₂²⋊C₄	C₂²	semidirect
98. C₅×D₃×C₂²⋊C₄	C₂²	semidirect
99. C₅×D₃×C₂²⋊C₄	C₂²	semidirect
100. C₅×#879	C₂²	semidirect
101. C₅×#879	C₂²	semidirect
102. C₅×#879	C₂²	semidirect
103. C₅×#878	C₂²	semidirect
104. C₅×#876	C₂²	semidirect
105. C₅×#875	C₂²	semidirect
106. C₄×C₅×D₁₂	C₂²	semidirect
107. C₄²×C₅×D₃	C₂²	semidirect
108. D₃×#538	C₅	direct (N × H)
118. C₅×#538	D₃	direct (N × H)
137. C₂×C₃×C₅×Q₈	C₂³	semidirect
141. C₂×C₃×C₅×D₄	C₂³	semidirect
144. C₂²×C₃×C₄×C₅	C₂³	semidirect
151. C₂×C₅×#67	C₂³	semidirect
154. C₂²×C₅×Dic₃	C₂³	semidirect
163. C₂×C₅×D₁₂	C₂³	semidirect
176. C₂×C₄×C₅×D₃	C₂³	semidirect
177. C₂×C₄×C₅×D₃	C₂³	semidirect
178. C₂×C₅×Dic₆	C₂³	semidirect
179. C₂×C₅×Dic₆	C₂³	semidirect
180. C₃×C₅×C₄⋊C₄	C₂³	semidirect
181. C₃×C₅×C₄⋊C₄	C₂³	semidirect
182. C₃×C₅×C₄⋊C₄	C₂³	semidirect
183. C₃×C₅×C₄⋊C₄	C₂³	semidirect
189. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
190. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
191. C₃×C₄²×C₅	C₂³	semidirect
197. C₅×#217	C₂³	semidirect
198. C₅×#217	C₂³	semidirect
209. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
210. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
211. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
212. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
213. C₅×C₄⋊Dic₃	C₂³	semidirect
214. C₅×C₄⋊Dic₃	C₂³	semidirect
215. C₅×C₄⋊Dic₃	C₂³	semidirect
216. C₅×C₄⋊Dic₃	C₂³	semidirect
217. C₅×Dic₃⋊C₄	C₂³	semidirect
218. C₅×Dic₃⋊C₄	C₂³	semidirect
219. C₅×Dic₃⋊C₄	C₂³	semidirect
220. C₅×Dic₃⋊C₄	C₂³	semidirect
221. C₅×Dic₃⋊C₄	C₂³	semidirect
222. C₅×Dic₃⋊C₄	C₂³	semidirect
223. C₄×C₅×Dic₃	C₂³	semidirect
224. C₄×C₅×Dic₃	C₂³	semidirect
225. C₄×C₅×Dic₃	C₂³	semidirect
226. C₃×#538	C₂×C₅	semidirect
227. #5704	C₂×C₅	semidirect
228. D₃×#126	C₂×C₅	semidirect
229. #5678	C₂×C₅	semidirect
230. D₃×#124	C₂×C₅	semidirect
231. #5657	C₂×C₅	semidirect
232. D₃×#123	C₂×C₅	semidirect
233. #5644	C₂×C₅	semidirect
234. D₃×C₂²⋊Q₈	C₂×C₅	semidirect
235. #5617	C₂×C₅	semidirect
236. #5613	C₂×C₅	semidirect
237. D₃×#121	C₂×C₅	semidirect
238. D₃×#121	C₂×C₅	semidirect
239. #5593	C₂×C₅	semidirect
240. D₃×#120	C₂×C₅	semidirect
241. #5560	C₂×C₅	semidirect
242. C₄×D₃×D₄	C₂×C₅	semidirect
243. #5494	C₂×C₅	semidirect
244. C₂×D₃×C₂²⋊C₄	C₂×C₅	semidirect
261. C₅×#126	C₂×D₃	semidirect
269. C₅×#124	C₂×D₃	semidirect
277. C₅×#123	C₂×D₃	semidirect
283. C₅×C₂²⋊Q₈	C₂×D₃	semidirect
296. C₅×#121	C₂×D₃	semidirect
297. C₅×#121	C₂×D₃	semidirect
305. C₅×#120	C₂×D₃	semidirect
313. C₄×C₅×D₄	C₂×D₃	semidirect
330. C₂×C₅×C₂²⋊C₄	C₂×D₃	semidirect
407. C₂×D₃×Q₈	C₂²×C₅	semidirect
411. C₂×D₃×D₄	C₂²×C₅	semidirect
414. C₂²×C₄×D₃	C₂²×C₅	semidirect
415. C₃×#126	C₂²×C₅	semidirect
416. C₃×#124	C₂²×C₅	semidirect
417. C₃×#123	C₂²×C₅	semidirect
418. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
419. C₃×#121	C₂²×C₅	semidirect
420. C₃×#121	C₂²×C₅	semidirect
421. C₃×#120	C₂²×C₅	semidirect
422. C₃×C₄×D₄	C₂²×C₅	semidirect
423. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
424. #953	C₂²×C₅	semidirect
425. C₂×#217	C₂²×C₅	semidirect
426. #947	C₂²×C₅	semidirect
427. #946	C₂²×C₅	semidirect
428. #939	C₂²×C₅	semidirect
429. #939	C₂²×C₅	semidirect
430. #939	C₂²×C₅	semidirect
431. #938	C₂²×C₅	semidirect
432. #938	C₂²×C₅	semidirect
433. #937	C₂²×C₅	semidirect
434. #937	C₂²×C₅	semidirect
435. #937	C₂²×C₅	semidirect
436. #936	C₂²×C₅	semidirect
437. #935	C₂²×C₅	semidirect
438. D₄×Dic₃	C₂²×C₅	semidirect
439. #930	C₂²×C₅	semidirect
440. #930	C₂²×C₅	semidirect
441. #929	C₂²×C₅	semidirect
442. C₄×#67	C₂²×C₅	semidirect
443. C₄×#67	C₂²×C₅	semidirect
444. C₂×(C₂×D₃)⋊C₄	C₂²×C₅	semidirect
445. C₂×(C₂×D₃)⋊C₄	C₂²×C₅	semidirect
446. #924	C₂²×C₅	semidirect
447. #898	C₂²×C₅	semidirect
448. #898	C₂²×C₅	semidirect
449. #898	C₂²×C₅	semidirect
450. #897	C₂²×C₅	semidirect
451. #896	C₂²×C₅	semidirect
452. #895	C₂²×C₅	semidirect
453. #895	C₂²×C₅	semidirect
454. #894	C₂²×C₅	semidirect
455. #894	C₂²×C₅	semidirect
456. #893	C₂²×C₅	semidirect
457. D₃×C₄⋊C₄	C₂²×C₅	semidirect
458. D₃×C₄⋊C₄	C₂²×C₅	semidirect
459. D₃×C₄⋊C₄	C₂²×C₅	semidirect
460. D₃×C₄⋊C₄	C₂²×C₅	semidirect
461. #886	C₂²×C₅	semidirect
462. #885	C₂²×C₅	semidirect
463. #885	C₂²×C₅	semidirect
464. #885	C₂²×C₅	semidirect
465. #885	C₂²×C₅	semidirect
466. #884	C₂²×C₅	semidirect
467. #884	C₂²×C₅	semidirect
468. #884	C₂²×C₅	semidirect
469. #883	C₂²×C₅	semidirect
470. #883	C₂²×C₅	semidirect
471. #882	C₂²×C₅	semidirect
472. #882	C₂²×C₅	semidirect
473. #882	C₂²×C₅	semidirect
474. #67⋊C₄	C₂²×C₅	semidirect
475. #67⋊C₄	C₂²×C₅	semidirect
481. D₃×C₂²⋊C₄	C₂²×C₅	semidirect
482. D₃×C₂²⋊C₄	C₂²×C₅	semidirect
483. D₃×C₂²⋊C₄	C₂²×C₅	semidirect
484. D₃×C₂²⋊C₄	C₂²×C₅	semidirect
485. #879	C₂²×C₅	semidirect
486. #879	C₂²×C₅	semidirect
487. #879	C₂²×C₅	semidirect
488. #878	C₂²×C₅	semidirect
489. #876	C₂²×C₅	semidirect
490. #875	C₂²×C₅	semidirect
491. C₄×D₁₂	C₂²×C₅	semidirect
492. C₄²×D₃	C₂²×C₅	semidirect
505. C₂×C₅×Q₈	C₂²×D₃	semidirect
524. C₂×C₅×D₄	C₂²×D₃	semidirect
544. C₂²×C₄×C₅	C₂²×D₃	semidirect
555. C₅×C₄⋊C₄	C₂²×D₃	semidirect
556. C₅×C₄⋊C₄	C₂²×D₃	semidirect
557. C₅×C₄⋊C₄	C₂²×D₃	semidirect
558. C₅×C₄⋊C₄	C₂²×D₃	semidirect
585. C₅×C₂²⋊C₄	C₂²×D₃	semidirect
586. C₅×C₂²⋊C₄	C₂²×D₃	semidirect
590. C₄²×C₅	C₂²×D₃	semidirect
600. #538	C₅×D₃	direct (N × H)
659. C₂×C₃×Q₈	C₂³×C₅	semidirect
663. C₂×C₃×D₄	C₂³×C₅	semidirect
666. C₂²×C₃×C₄	C₂³×C₅	semidirect
673. C₂×#67	C₂³×C₅	semidirect
676. C₂²×Dic₃	C₂³×C₅	semidirect
685. C₂×D₁₂	C₂³×C₅	semidirect
698. C₂×C₄×D₃	C₂³×C₅	semidirect
699. C₂×C₄×D₃	C₂³×C₅	semidirect
700. C₂×Dic₆	C₂³×C₅	semidirect
701. C₂×Dic₆	C₂³×C₅	semidirect
702. C₃×C₄⋊C₄	C₂³×C₅	semidirect
703. C₃×C₄⋊C₄	C₂³×C₅	semidirect
704. C₃×C₄⋊C₄	C₂³×C₅	semidirect
705. C₃×C₄⋊C₄	C₂³×C₅	semidirect
711. C₃×C₂²⋊C₄	C₂³×C₅	semidirect
712. C₃×C₂²⋊C₄	C₂³×C₅	semidirect
713. C₃×C₄²	C₂³×C₅	semidirect
719. #217	C₂³×C₅	semidirect
720. #217	C₂³×C₅	semidirect
731. (C₂×D₃)⋊C₄	C₂³×C₅	semidirect
732. (C₂×D₃)⋊C₄	C₂³×C₅	semidirect
733. (C₂×D₃)⋊C₄	C₂³×C₅	semidirect
734. (C₂×D₃)⋊C₄	C₂³×C₅	semidirect
735. C₄⋊Dic₃	C₂³×C₅	semidirect
736. C₄⋊Dic₃	C₂³×C₅	semidirect
737. C₄⋊Dic₃	C₂³×C₅	semidirect
738. C₄⋊Dic₃	C₂³×C₅	semidirect
739. Dic₃⋊C₄	C₂³×C₅	semidirect
740. Dic₃⋊C₄	C₂³×C₅	semidirect
741. Dic₃⋊C₄	C₂³×C₅	semidirect
742. Dic₃⋊C₄	C₂³×C₅	semidirect
743. Dic₃⋊C₄	C₂³×C₅	semidirect
744. Dic₃⋊C₄	C₂³×C₅	semidirect
745. C₄×Dic₃	C₂³×C₅	semidirect
746. C₄×Dic₃	C₂³×C₅	semidirect
747. C₄×Dic₃	C₂³×C₅	semidirect
837. #126	C₂×C₅×D₃	semidirect
845. #124	C₂×C₅×D₃	semidirect
853. #123	C₂×C₅×D₃	semidirect
859. C₂²⋊Q₈	C₂×C₅×D₃	semidirect
872. #121	C₂×C₅×D₃	semidirect
873. #121	C₂×C₅×D₃	semidirect
881. #120	C₂×C₅×D₃	semidirect
889. C₄×D₄	C₂×C₅×D₃	semidirect
906. C₂×C₂²⋊C₄	C₂×C₅×D₃	semidirect
917. C₅×D₃	#538	direct (N × H)
1043. C₂×Q₈	C₂²×C₅×D₃	semidirect
1062. C₂×D₄	C₂²×C₅×D₃	semidirect
1082. C₂²×C₄	C₂²×C₅×D₃	semidirect
1093. C₄⋊C₄	C₂²×C₅×D₃	semidirect
1094. C₄⋊C₄	C₂²×C₅×D₃	semidirect
1095. C₄⋊C₄	C₂²×C₅×D₃	semidirect
1096. C₄⋊C₄	C₂²×C₅×D₃	semidirect
1123. C₂²⋊C₄	C₂²×C₅×D₃	semidirect
1124. C₂²⋊C₄	C₂²×C₅×D₃	semidirect
1128. C₄²	C₂²×C₅×D₃	semidirect
1129. C₃×C₅	C₂×#538	semidirect
1262. D₃	C₅×#538	direct (N × H)
1263. C₅	D₃×#538	direct (N × H)
1304. C₃	C₂×C₅×#538	semidirect

Maximal subgroups

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

subgroup	index
C₃×C₅×#538	2
C₅×#5704	2
C₅×D₃×#126	2
C₅×#5678	2
C₅×D₃×#124	2
C₅×#5657	2
C₅×D₃×#123	2
C₅×#5644	2
C₅×D₃×C₂²⋊Q₈	2
C₅×#5617	2
C₅×#5613	2
C₅×D₃×#121	2
C₅×#5593	2
C₅×D₃×#120	2
C₅×#5560	2
C₄×C₅×D₃×D₄	2
C₅×#5494	2
C₂×C₅×D₃×C₂²⋊C₄	2
C₂×C₅×#538	3
D₃×#538	5

Subgroups — C5×D3×#538 #14480746

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×D₃×#538 #14480746