Subgroups — #14415475

Order 1920.

1004 conjugacy classes of subgroups.

The subgroup lattice has 816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#65881	C₂	1	1	yes	maximal, characteristic
2	C₂²×#6649	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#91283	C₂	1	1	yes	maximal, characteristic, complemented
4	#11751112	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×D₄×C₃⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
6	#11748503	C₂	1	1	yes	maximal, characteristic, complemented
7	#11748503	C₂	1	1	yes	maximal, characteristic, complemented
8	#11748493	C₂	1	1	yes	maximal, characteristic, complemented
9	#11748482	C₂	1	1	yes	maximal, characteristic, complemented
10	D₅×#830	C₂	1	1	yes	maximal, characteristic, complemented
11	#11748339	C₂	1	1	yes	maximal, characteristic, complemented
12	#11747010	C₂	1	1	yes	maximal, characteristic, complemented
13	#11746997	C₂	1	1	yes	maximal, characteristic, complemented
14	#11746985	C₂	1	1	yes	maximal, characteristic, complemented
15	#11746974	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611154	—	3	1	no	maximal, Hall
17	C₂×C₃×#709	C₂²	1	1	yes	characteristic
18	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
19	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
20	C₂×#6710	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₃⋊#168	C₂²	1	1	yes	characteristic
22	C₂²×C₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
23	C₂²×C₅×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
24	C₃×#4085	C₄	1	1	yes	characteristic
25	C₃×#4083	C₄	1	1	yes	characteristic
26	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
27	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
28	C₃×#4042	C₄	1	1	yes	characteristic
29	C₃×#4040	C₄	1	1	yes	characteristic
30	C₃×#4030	C₄	1	1	yes	characteristic
31	C₃×#4029	C₄	1	1	yes	characteristic
32	C₃×#4028	C₄	1	1	yes	characteristic
33	C₃×#4024	C₄	1	1	yes	characteristic
34	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
35	C₃×#4018	C₂²	1	1	yes	characteristic
36	C₂×#6649	—	2	4	no	—
37	C₂×#6649	C₂²	1	1	yes	characteristic
38	C₂×#6649	C₂²	1	1	yes	characteristic
39	C₂×#6649	C₂²	1	1	yes	characteristic
40	C₂×#6649	C₂²	1	1	yes	characteristic
41	C₂×#6649	C₂²	1	1	yes	characteristic, complemented
42	#91283	—	2	4	no	—
43	C₂×D₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
44	C₂×D₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
45	C₂×D₅×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
46	#91114	C₂²	1	1	yes	characteristic
47	#91114	C₂²	1	1	yes	characteristic, complemented
48	C₄⋊(C₃⋊#168)	C₂²	1	1	yes	characteristic, complemented
49	#91087	C₂²	1	1	yes	characteristic, complemented
50	C₅×#830	C₂²	1	1	yes	characteristic
51	C₅×#830	C₂²	1	1	yes	characteristic, complemented
52	C₅×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
53	C₄×C₅×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
54	#90982	C₂²	1	1	yes	characteristic, complemented
55	#90982	C₂²	1	1	yes	characteristic, complemented
56	#90955	C₂²	1	1	yes	characteristic
57	#90955	C₂²	1	1	yes	characteristic
58	#90955	C₂²	1	1	yes	characteristic, complemented
59	#90955	C₂²	1	1	yes	characteristic, complemented
60	#90952	C₂²	1	1	yes	characteristic, complemented
61	Dic₅×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
62	#82918	—	5	1	no	maximal, Hall
63	C₂×#4047	—	3	1	no	—
64	C₂²×#676	—	3	1	no	—
65	#65881	D₃	1	1	yes	characteristic
66	C₅×C₈×D₄	—	3	1	no	—
67	#65400	—	3	1	no	—
68	#65400	—	3	1	no	—
69	#65300	—	3	1	no	—
70	#65128	—	3	1	no	—
71	#65125	—	3	1	no	—
72	#65018	—	3	1	no	—
73	#65016	—	3	1	no	—
74	#65014	—	3	1	no	—
75	D₅×C₂²⋊C₈	—	3	1	no	—
76	#64978	—	3	1	no	—
77	#64977	—	3	1	no	—
78	C₂³×C₃×D₅	C₂×C₄	1	1	yes	characteristic
79	C₂×C₃×C₅×D₄	C₂×C₄	1	1	yes	characteristic
80	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
81	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
82	C₂×C₃×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
83	C₂×C₃×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
84	C₂×C₃×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
85	C₂×C₃×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
86	C₂²×C₃×Dic₅	C₂×C₄	1	1	yes	characteristic
87	C₃×#709	—	2	2	no	—
88	C₃×#709	—	2	2	no	—
89	C₂×C₃×D₂₀	C₂×C₄	1	1	yes	characteristic
90	C₂×C₃×D₂₀	C₂×C₄	1	1	yes	characteristic
91	C₂×C₃×C₄×D₅	—	2	2	no	—
92	C₂×C₃×C₄×D₅	—	2	2	no	—
93	C₂×C₃×C₄×D₅	C₂×C₄	1	1	yes	characteristic
94	C₂×C₃×C₄×D₅	C₂×C₄	1	1	yes	characteristic
95	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
96	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
97	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
98	C₂×C₃×Dic₁₀	C₂×C₄	1	1	yes	characteristic
99	C₃×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
100	C₃×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
101	C₃×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
102	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
103	#6710	—	2	2	no	—
104	C₂×C₃⋊#168	—	2	2	no	—
105	C₂×C₃⋊#168	C₂³	1	1	yes	characteristic
106	C₂×C₃⋊#168	C₂³	1	1	yes	characteristic
107	C₂×C₃⋊#168	C₂³	1	1	yes	characteristic
108	C₂×C₃⋊#168	C₂³	1	1	yes	characteristic
109	C₂×C₅×C₃⋊C₈	—	2	2	no	—
110	C₂×C₅×C₃⋊C₈	—	2	2	no	—
111	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
112	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
113	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
114	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
115	C₃×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
116	C₃×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
117	C₃×#685	C₂×C₄	1	1	yes	characteristic
118	C₃×#685	C₂×C₄	1	1	yes	characteristic
119	C₃×#685	C₂×C₄	1	1	yes	characteristic
120	C₃×#685	C₂×C₄	1	1	yes	characteristic
121	C₃×#685	C₂×C₄	1	1	yes	characteristic
122	C₃×#685	C₂×C₄	1	1	yes	characteristic
123	C₃×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
124	C₃×#683	C₂×C₄	1	1	yes	characteristic
125	C₃×#683	C₂×C₄	1	1	yes	characteristic
126	C₃×#683	C₂×C₄	1	1	yes	characteristic
127	C₃×#683	C₂×C₄	1	1	yes	characteristic
128	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
129	#6649	—	2	2	no	—
130	#6649	—	2	2	no	—
131	#6649	—	2	2	no	—
132	#6649	—	2	2	no	—
133	#6649	D₄	1	4	yes	complemented
134	D₅×C₃⋊C₈	—	2	2	no	—
135	D₅×C₃⋊C₈	—	2	2	no	—
136	D₅×C₃⋊C₈	—	2	2	no	—
137	C₃×#525	—	5	1	no	—
138	C₂×#948	—	5	1	no	—
139	C₂²×#208	—	5	1	no	—
140	#5234	—	5	1	no	—
141	C₂×#830	—	5	1	no	—
142	#5012	—	5	1	no	—
143	#5012	—	5	1	no	—
144	#5011	—	5	1	no	—
145	#5011	—	5	1	no	—
146	#5011	—	5	1	no	—
147	#5011	—	5	1	no	—
148	D₄×C₃⋊C₈	—	5	1	no	—
149	D₄×C₃⋊C₈	D₅	1	1	yes	characteristic, complemented
150	#4999	—	5	1	no	—
151	#4997	—	5	1	no	—
152	C₂×#709	C₂×D₃	1	1	yes	characteristic
153	C₂²×C₄×D₅	C₂×D₃	1	1	yes	characteristic
154	C₂²×C₅×C₈	—	3	1	no	—
155	C₂²×C₅×C₈	—	3	1	no	—
156	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic
157	#4085	Dic₃	1	1	yes	characteristic
158	#4083	Dic₃	1	1	yes	characteristic
159	C₄×C₂²⋊D₅	C₂×D₃	1	1	yes	characteristic
160	C₄×C₂²⋊D₅	C₂×D₃	1	1	yes	characteristic
161	C₂×#681	—	3	1	no	—
162	C₂²×#168	—	3	1	no	—
163	#4047	—	6	4	no	—
164	C₂×#676	—	3	1	no	—
165	C₂×#676	—	3	1	no	—
166	C₂×#676	—	3	1	no	—
167	C₂×#676	—	3	1	no	—
168	C₂×#676	—	3	1	no	—
169	C₂×#676	—	6	4	no	—
170	C₂×C₈×D₅	—	3	1	no	—
171	C₂×C₈×D₅	—	3	1	no	—
172	C₂×C₈×D₅	—	3	1	no	—
173	#4042	Dic₃	1	1	yes	characteristic
174	#4040	Dic₃	1	1	yes	characteristic
175	#4030	Dic₃	1	1	yes	characteristic
176	#4029	Dic₃	1	1	yes	characteristic
177	#4028	Dic₃	1	1	yes	characteristic
178	#4024	Dic₃	1	1	yes	characteristic
179	C₄×D₂₀	C₂×D₃	1	1	yes	characteristic
180	#4018	C₂×D₃	1	1	yes	characteristic
181	C₅×C₄⋊C₈	—	3	1	no	—
182	C₅×C₂²⋊C₈	—	3	1	no	—
183	C₅×C₂²⋊C₈	—	3	1	no	—
184	C₄×C₅×C₈	—	3	1	no	—
185	C₂²⋊#168	—	3	1	no	—
186	C₂²⋊#168	—	3	1	no	—
187	#3952	—	3	1	no	—
188	#3952	—	3	1	no	—
189	#3952	—	3	1	no	—
190	#3952	—	3	1	no	—
191	#3947	—	3	1	no	—
192	#3946	—	3	1	no	—
193	#3946	—	3	1	no	—
194	C₈×Dic₅	—	3	1	no	—
195	C₄⋊#168	—	3	1	no	—
196	#3935	—	3	1	no	—
197	#2933	—	15	1	no	Sylow
198	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
199	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
200	C₂²×C₃×D₅	—	2	2	no	—
201	C₂²×C₃×D₅	—	2	2	no	—
202	C₂²×C₃×D₅	—	4	1	no	—
203	C₂²×C₃×D₅	C₂²×C₄	1	1	yes	characteristic
204	C₂²×C₃×D₅	C₂²×C₄	1	1	yes	characteristic
205	C₂²×C₃×D₅	C₂²×C₄	1	1	yes	characteristic
206	C₃×C₅×D₄	—	2	2	no	—
207	C₂×C₃×C₄×C₅	—	2	1	no	—
208	C₂×C₃×C₄×C₅	—	2	1	no	—
209	C₂×C₃×C₄×C₅	—	2	1	no	—
210	C₂×C₃×C₄×C₅	—	2	1	no	—
211	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
212	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
213	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
214	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
215	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
216	C₃×C₂²⋊D₅	—	2	2	no	—
217	C₃×C₂²⋊D₅	—	2	2	no	—
218	C₃×C₂²⋊D₅	—	2	2	no	—
219	C₃×C₂²⋊D₅	—	4	1	no	—
220	C₂×C₃×Dic₅	—	2	2	no	—
221	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
222	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
223	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
224	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
225	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
226	C₃×D₂₀	—	2	2	no	—
227	C₃×D₂₀	—	4	1	no	—
228	C₃×C₄×D₅	—	2	2	no	—
229	C₃×C₄×D₅	—	2	1	no	—
230	C₃×C₄×D₅	—	2	1	no	—
231	C₃×C₄×D₅	—	2	1	no	—
232	C₃×C₄×D₅	—	2	1	no	—
233	C₃×C₄×D₅	—	2	2	no	—
234	C₃×C₄×D₅	C₂×D₄	1	2	yes	—
235	C₃×C₄×D₅	#41	1	2	yes	—
236	C₃×Dic₁₀	—	2	2	no	—
237	C₃⋊#168	—	2	1	no	—
238	C₃⋊#168	—	2	1	no	—
239	C₃⋊#168	—	2	1	no	—
240	C₃⋊#168	C₂×D₄	1	2	yes	—
241	C₅×C₃⋊C₈	—	2	1	no	—
242	C₅×C₃⋊C₈	—	2	1	no	—
243	C₅×C₃⋊C₈	—	2	1	no	—
244	C₅×C₃⋊C₈	C₂×D₄	1	2	yes	—
245	C₂×C₃×#41	—	5	1	no	—
246	C₂³×C₃×C₄	—	5	1	no	—
247	C₃×#123	—	5	1	no	—
248	C₃×#123	—	5	1	no	—
249	C₃×C₂²⋊Q₈	—	5	1	no	—
250	C₃×C₂²⋊Q₈	—	5	1	no	—
251	C₃×#121	—	5	1	no	—
252	C₃×#121	—	5	1	no	—
253	C₃×#120	—	5	1	no	—
254	C₃×#120	—	5	1	no	—
255	C₃×C₄×D₄	—	5	1	no	—
256	C₃×C₄×D₄	—	5	1	no	—
257	C₃×C₄×D₄	—	5	1	no	—
258	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic
259	C₃×#117	—	5	1	no	—
260	#948	—	10	4	no	—
261	C₂×#208	—	5	1	no	—
262	C₂×#208	—	5	1	no	—
263	C₂×#208	—	5	1	no	—
264	C₂×#208	—	5	1	no	—
265	C₂×#208	—	5	1	no	—
266	C₂×#208	—	5	1	no	—
267	C₂×#208	—	10	4	no	—
268	C₂²×C₃⋊C₈	—	5	1	no	—
269	C₂²×C₃⋊C₈	—	5	1	no	—
270	C₂²×C₃⋊C₈	—	5	1	no	—
271	C₂²×C₃⋊C₈	—	5	1	no	—
272	C₂²×C₃⋊C₈	C₂×D₅	1	1	yes	characteristic
273	C₂²×C₃⋊C₈	C₂×D₅	1	1	yes	characteristic, complemented
274	#830	—	5	1	no	—
275	#830	—	5	1	no	—
276	#830	—	5	1	no	—
277	#830	—	5	1	no	—
278	#830	—	5	1	no	—
279	#830	—	5	1	no	—
280	#830	C₂×D₅	1	1	yes	characteristic
281	#830	C₂×D₅	1	1	yes	characteristic, complemented
282	C₄⋊(C₃⋊C₈)	—	5	1	no	—
283	C₄⋊(C₃⋊C₈)	—	5	1	no	—
284	C₄⋊(C₃⋊C₈)	—	5	1	no	—
285	C₄⋊(C₃⋊C₈)	C₂×D₅	1	1	yes	characteristic, complemented
286	#803	—	5	1	no	—
287	#803	—	5	1	no	—
288	C₄×C₃⋊C₈	—	5	1	no	—
289	C₄×C₃⋊C₈	C₂×D₅	1	1	yes	characteristic, complemented
290	C₂³×D₅	C₂×Dic₃	1	1	yes	characteristic
291	C₂×C₅×D₄	C₂×Dic₃	1	1	yes	characteristic
292	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
293	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
294	C₂×C₂²⋊D₅	C₂×Dic₃	1	1	yes	characteristic
295	C₂×C₂²⋊D₅	C₂×Dic₃	1	1	yes	characteristic
296	C₂×C₂²⋊D₅	C₂×Dic₃	1	1	yes	characteristic
297	C₂×C₂²⋊D₅	C₂×Dic₃	1	1	yes	characteristic
298	C₂²×Dic₅	C₂×Dic₃	1	1	yes	characteristic
299	#709	—	2	2	no	—
300	#709	—	2	2	no	—
301	C₂×D₂₀	C₂×Dic₃	1	1	yes	characteristic
302	C₂×D₂₀	C₂×Dic₃	1	1	yes	characteristic
303	C₂×C₄×D₅	—	2	2	no	—
304	C₂×C₄×D₅	—	2	2	no	—
305	C₂×C₄×D₅	C₂×Dic₃	1	1	yes	characteristic
306	C₂×C₄×D₅	C₂×Dic₃	1	1	yes	characteristic
307	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
308	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
309	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
310	C₂×Dic₁₀	C₂×Dic₃	1	1	yes	characteristic
311	C₂×C₅×C₈	—	3	1	no	—
312	C₂×C₅×C₈	—	3	1	no	—
313	C₂×C₅×C₈	—	3	1	no	—
314	C₂×C₅×C₈	—	3	1	no	—
315	C₂×C₅×C₈	—	6	2	no	—
316	C₂×C₅×C₈	—	6	2	no	—
317	C₅×C₄⋊C₄	C₂×Dic₃	1	1	yes	characteristic
318	C₅×C₂²⋊C₄	C₂×Dic₃	1	1	yes	characteristic
319	C₅×C₂²⋊C₄	C₂×Dic₃	1	1	yes	characteristic
320	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
321	C₂²⋊Dic₅	C₂×Dic₃	1	1	yes	characteristic
322	C₂²⋊Dic₅	C₂×Dic₃	1	1	yes	characteristic
323	#685	C₂×Dic₃	1	1	yes	characteristic
324	#685	C₂×Dic₃	1	1	yes	characteristic
325	#685	C₂×Dic₃	1	1	yes	characteristic
326	#685	C₂×Dic₃	1	1	yes	characteristic
327	#685	C₂×Dic₃	1	1	yes	characteristic
328	#685	C₂×Dic₃	1	1	yes	characteristic
329	C₄⋊Dic₅	C₂×Dic₃	1	1	yes	characteristic
330	#683	C₂×Dic₃	1	1	yes	characteristic
331	#683	C₂×Dic₃	1	1	yes	characteristic
332	#683	C₂×Dic₃	1	1	yes	characteristic
333	#683	C₂×Dic₃	1	1	yes	characteristic
334	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
335	#681	—	6	2	no	—
336	C₂×#168	—	3	1	no	—
337	C₂×#168	—	3	1	no	—
338	C₂×#168	—	3	1	no	—
339	C₂×#168	—	3	1	no	—
340	C₂×#168	—	6	2	no	—
341	#676	—	3	4	no	—
342	#676	—	6	2	no	—
343	#676	—	6	2	no	—
344	#676	—	6	2	no	—
345	#676	—	6	2	no	—
346	C₈×D₅	—	6	2	no	—
347	C₈×D₅	—	6	2	no	—
348	C₈×D₅	—	6	2	no	—
349	C₂×#131	—	15	1	no	—
350	C₂²×M₁₆	—	15	1	no	—
351	#525	—	5	1	no	—
352	#436	—	15	1	no	—
353	#436	—	15	1	no	—
354	#435	—	15	1	no	—
355	#435	—	15	1	no	—
356	#435	—	15	1	no	—
357	#435	—	15	1	no	—
358	C₈×D₄	—	3	1	no	—
359	C₈×D₄	—	15	1	no	—
360	#424	—	15	1	no	—
361	#408	—	15	1	no	—
362	C₂×C₂²⋊C₈	—	15	1	no	—
363	#405	—	15	1	no	—
364	C₂²×C₃×C₅	—	2	1	no	—
365	C₂²×C₃×C₅	—	2	1	no	—
366	C₂²×C₃×C₅	—	2	1	no	—
367	C₂²×C₃×C₅	—	2	1	no	—
368	C₂²×C₃×C₅	—	2	1	no	—
369	C₂²×C₃×C₅	#131	1	2	yes	complemented
370	C₂²×C₃×C₅	C₂³×C₄	1	1	yes	characteristic
371	C₂×C₃×D₅	—	2	1	no	—
372	C₂×C₃×D₅	—	2	1	no	—
373	C₂×C₃×D₅	—	2	1	no	—
374	C₂×C₃×D₅	—	2	1	no	—
375	C₂×C₃×D₅	—	2	1	no	—
376	C₂×C₃×D₅	—	2	1	no	—
377	C₂×C₃×D₅	—	2	1	no	—
378	C₂×C₃×D₅	—	2	1	no	—
379	C₂×C₃×D₅	—	4	4	no	—
380	C₂×C₃×D₅	C₄×D₄	1	2	yes	—
381	C₃×C₄×C₅	—	2	1	no	—
382	C₃×C₄×C₅	—	2	1	no	—
383	C₃×C₄×C₅	—	2	1	no	—
384	C₃×C₄×C₅	—	2	1	no	—
385	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
386	C₃×C₄×C₅	C₂×#41	1	1	yes	characteristic
387	C₃×Dic₅	—	2	1	no	—
388	C₃×Dic₅	—	2	1	no	—
389	C₃×Dic₅	—	2	1	no	—
390	C₃×Dic₅	—	2	1	no	—
391	C₃×Dic₅	C₄×D₄	1	2	yes	—
392	C₂⁴×C₃	—	5	1	no	—
393	C₃×#41	—	10	2	no	—
394	C₃×#41	—	10	2	no	—
395	C₂×C₃×Q₈	—	5	1	no	—
396	C₂×C₃×D₄	—	5	1	no	—
397	C₂×C₃×D₄	—	5	1	no	—
398	C₂×C₃×D₄	—	5	1	no	—
399	C₂×C₃×D₄	—	5	1	no	—
400	C₂×C₃×D₄	—	5	1	no	—
401	C₂×C₃×D₄	—	5	1	no	—
402	C₂×C₃×D₄	C₄×D₅	1	1	yes	characteristic
403	C₂²×C₃×C₄	—	5	1	no	—
404	C₂²×C₃×C₄	—	5	1	no	—
405	C₂²×C₃×C₄	—	5	1	no	—
406	C₂²×C₃×C₄	—	5	1	no	—
407	C₂²×C₃×C₄	—	5	1	no	—
408	C₂²×C₃×C₄	—	5	1	no	—
409	C₂²×C₃×C₄	—	10	2	no	—
410	C₂²×C₃×C₄	—	10	2	no	—
411	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
412	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
413	C₃×C₄⋊C₄	—	5	1	no	—
414	C₃×C₄⋊C₄	—	5	1	no	—
415	C₃×C₄⋊C₄	—	5	1	no	—
416	C₃×C₄⋊C₄	—	5	1	no	—
417	C₃×C₄⋊C₄	—	5	1	no	—
418	C₃×C₄⋊C₄	C₄×D₅	1	1	yes	characteristic
419	C₃×C₂²⋊C₄	—	5	1	no	—
420	C₃×C₂²⋊C₄	—	5	1	no	—
421	C₃×C₂²⋊C₄	—	5	1	no	—
422	C₃×C₂²⋊C₄	—	5	1	no	—
423	C₃×C₂²⋊C₄	—	5	1	no	—
424	C₃×C₂²⋊C₄	—	5	1	no	—
425	C₃×C₂²⋊C₄	—	5	1	no	—
426	C₃×C₂²⋊C₄	—	5	1	no	—
427	C₃×C₂²⋊C₄	C₄×D₅	1	1	yes	characteristic
428	C₃×C₂²⋊C₄	C₄×D₅	1	1	yes	characteristic
429	C₃×C₄²	—	5	1	no	—
430	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
431	#208	—	5	4	no	—
432	#208	—	10	2	no	—
433	#208	—	10	2	no	—
434	#208	—	10	2	no	—
435	#208	—	10	2	no	—
436	#208	—	10	2	no	—
437	C₂×C₃⋊C₈	—	2	2	no	—
438	C₂×C₃⋊C₈	—	2	2	no	—
439	C₂×C₃⋊C₈	—	5	1	no	—
440	C₂×C₃⋊C₈	—	5	1	no	—
441	C₂×C₃⋊C₈	—	5	1	no	—
442	C₂×C₃⋊C₈	—	5	1	no	—
443	C₂×C₃⋊C₈	—	10	2	no	—
444	C₂×C₃⋊C₈	—	10	2	no	—
445	C₂×C₃⋊C₈	—	10	2	no	—
446	C₂×C₃⋊C₈	—	10	2	no	—
447	C₂×C₃⋊C₈	C₂²×D₅	1	1	yes	characteristic
448	C₂×C₃⋊C₈	C₂²×D₅	1	1	yes	characteristic
449	C₂×C₃⋊C₈	C₂²×D₅	1	1	yes	characteristic
450	C₂×C₃⋊C₈	C₂²×D₅	1	1	yes	characteristic
451	C₂³×C₅	C₂²×Dic₃	1	1	yes	characteristic
452	C₂³×C₅	C₂²×Dic₃	1	1	yes	characteristic
453	C₂²×D₅	—	2	2	no	—
454	C₂²×D₅	—	2	2	no	—
455	C₂²×D₅	—	4	1	no	—
456	C₂²×D₅	C₂²×Dic₃	1	1	yes	characteristic
457	C₂²×D₅	C₂²×Dic₃	1	1	yes	characteristic
458	C₂²×D₅	C₂²×Dic₃	1	1	yes	characteristic
459	C₅×D₄	—	2	2	no	—
460	C₂×C₄×C₅	—	2	1	no	—
461	C₂×C₄×C₅	—	2	1	no	—
462	C₂×C₄×C₅	—	2	1	no	—
463	C₂×C₄×C₅	—	2	1	no	—
464	C₂×C₄×C₅	C₂²×Dic₃	1	1	yes	characteristic
465	C₂×C₄×C₅	C₂²×Dic₃	1	1	yes	characteristic
466	C₂×C₄×C₅	C₂²×Dic₃	1	1	yes	characteristic
467	C₂×C₄×C₅	C₂²×Dic₃	1	1	yes	characteristic
468	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
469	C₂²⋊D₅	—	2	2	no	—
470	C₂²⋊D₅	—	2	2	no	—
471	C₂²⋊D₅	—	2	2	no	—
472	C₂²⋊D₅	—	4	1	no	—
473	C₂×Dic₅	—	2	2	no	—
474	C₂×Dic₅	C₂²×Dic₃	1	1	yes	characteristic
475	C₂×Dic₅	C₂²×Dic₃	1	1	yes	characteristic
476	C₂×Dic₅	C₂²×Dic₃	1	1	yes	characteristic
477	C₂×Dic₅	C₂²×Dic₃	1	1	yes	characteristic
478	C₂×Dic₅	C₂²×Dic₃	1	1	yes	characteristic
479	D₂₀	—	2	2	no	—
480	D₂₀	—	4	1	no	—
481	C₄×D₅	—	2	2	no	—
482	C₄×D₅	—	2	1	no	—
483	C₄×D₅	—	2	1	no	—
484	C₄×D₅	—	2	1	no	—
485	C₄×D₅	—	2	1	no	—
486	C₄×D₅	—	2	2	no	—
487	C₄×D₅	D₃×D₄	1	2	yes	—
488	C₄×D₅	#237	1	2	yes	—
489	Dic₁₀	—	2	2	no	—
490	C₅×C₈	—	3	2	no	—
491	C₅×C₈	—	6	1	no	—
492	C₅×C₈	—	6	1	no	—
493	C₅×C₈	—	6	1	no	—
494	#168	—	3	2	no	—
495	#168	—	6	1	no	—
496	#168	—	6	1	no	—
497	#168	—	6	1	no	—
498	C₂×#41	—	5	1	no	—
499	C₂³×C₄	—	5	1	no	—
500	#131	—	30	4	no	—
501	C₂×M₁₆	—	15	1	no	—
502	C₂×M₁₆	—	15	1	no	—
503	C₂×M₁₆	—	15	1	no	—
504	C₂×M₁₆	—	15	1	no	—
505	C₂×M₁₆	—	15	1	no	—
506	C₂×M₁₆	—	15	1	no	—
507	C₂×M₁₆	—	30	4	no	—
508	C₂²×C₈	—	3	1	no	—
509	C₂²×C₈	—	3	1	no	—
510	C₂²×C₈	—	15	1	no	—
511	C₂²×C₈	—	15	1	no	—
512	C₂²×C₈	—	15	1	no	—
513	C₂²×C₈	—	15	1	no	—
514	#123	—	5	1	no	—
515	#123	—	5	1	no	—
516	C₂²⋊Q₈	—	5	1	no	—
517	C₂²⋊Q₈	—	5	1	no	—
518	#121	—	5	1	no	—
519	#121	—	5	1	no	—
520	#120	—	5	1	no	—
521	#120	—	5	1	no	—
522	C₄×D₄	—	5	1	no	—
523	C₄×D₄	—	5	1	no	—
524	C₄×D₄	—	5	1	no	—
525	C₄×D₄	D₃×D₅	1	1	yes	characteristic
526	#117	—	5	1	no	—
527	C₄⋊C₈	—	3	1	no	—
528	C₄⋊C₈	—	15	1	no	—
529	C₄⋊C₈	—	15	1	no	—
530	C₄⋊C₈	—	15	1	no	—
531	C₂²⋊C₈	—	3	1	no	—
532	C₂²⋊C₈	—	3	1	no	—
533	C₂²⋊C₈	—	15	1	no	—
534	C₂²⋊C₈	—	15	1	no	—
535	C₂²⋊C₈	—	15	1	no	—
536	C₂²⋊C₈	—	15	1	no	—
537	C₂²⋊C₈	—	15	1	no	—
538	C₂²⋊C₈	—	15	1	no	—
539	#97	—	15	1	no	—
540	#97	—	15	1	no	—
541	C₄×C₈	—	3	1	no	—
542	C₄×C₈	—	15	1	no	—
543	C₂×C₃×C₅	—	2	2	no	—
544	C₂×C₃×C₅	—	4	1	no	—
545	C₂×C₃×C₅	C₂×C₄×D₄	1	1	yes	characteristic
546	C₂×C₃×C₅	C₂×#131	1	1	yes	characteristic
547	C₂×C₃×C₅	#568	1	1	yes	characteristic
548	C₃×D₅	—	2	2	no	—
549	C₃×D₅	—	4	1	no	—
550	C₃×D₅	—	4	1	no	—
551	C₂³×C₃	—	5	1	no	—
552	C₂³×C₃	—	5	1	no	—
553	C₂³×C₃	—	5	1	no	—
554	C₂³×C₃	—	10	2	no	—
555	C₂³×C₃	—	10	2	no	—
556	C₂³×C₃	—	20	1	no	—
557	C₂³×C₃	C₂×C₄×D₅	1	1	yes	characteristic
558	C₂³×C₃	C₂×C₄×D₅	1	1	yes	characteristic
559	C₃×Q₈	—	10	2	no	—
560	C₃×D₄	—	2	2	no	—
561	C₃×D₄	—	10	2	no	—
562	C₃×D₄	—	10	2	no	—
563	C₃×D₄	—	10	2	no	—
564	C₃×D₄	—	10	2	no	—
565	C₃×D₄	—	20	1	no	—
566	C₃×D₄	—	20	1	no	—
567	C₂×C₃×C₄	—	2	1	no	—
568	C₂×C₃×C₄	—	2	1	no	—
569	C₂×C₃×C₄	—	2	1	no	—
570	C₂×C₃×C₄	—	2	1	no	—
571	C₂×C₃×C₄	—	5	1	no	—
572	C₂×C₃×C₄	—	5	2	no	—
573	C₂×C₃×C₄	—	5	2	no	—
574	C₂×C₃×C₄	—	5	1	no	—
575	C₂×C₃×C₄	—	5	1	no	—
576	C₂×C₃×C₄	—	5	1	no	—
577	C₂×C₃×C₄	—	5	1	no	—
578	C₂×C₃×C₄	—	10	2	no	—
579	C₂×C₃×C₄	—	10	2	no	—
580	C₂×C₃×C₄	—	10	2	no	—
581	C₂×C₃×C₄	—	10	1	no	—
582	C₂×C₃×C₄	—	10	1	no	—
583	C₂×C₃×C₄	—	10	1	no	—
584	C₂×C₃×C₄	—	10	1	no	—
585	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
586	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
587	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
588	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
589	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
590	C₃⋊C₈	—	2	1	no	—
591	C₃⋊C₈	—	2	1	no	—
592	C₃⋊C₈	—	2	1	no	—
593	C₃⋊C₈	—	5	2	no	—
594	C₃⋊C₈	—	10	1	no	—
595	C₃⋊C₈	—	10	1	no	—
596	C₃⋊C₈	—	10	1	no	—
597	C₃⋊C₈	D₄×D₅	1	2	yes	—
598	C₂²×C₅	—	2	1	no	—
599	C₂²×C₅	—	2	1	no	—
600	C₂²×C₅	—	2	1	no	—
601	C₂²×C₅	—	2	1	no	—
602	C₂²×C₅	—	2	1	no	—
603	C₂²×C₅	#948	1	2	yes	complemented
604	C₂²×C₅	C₂³×Dic₃	1	1	yes	characteristic
605	C₂×D₅	—	2	1	no	—
606	C₂×D₅	—	2	1	no	—
607	C₂×D₅	—	2	1	no	—
608	C₂×D₅	—	2	1	no	—
609	C₂×D₅	—	2	1	no	—
610	C₂×D₅	—	2	1	no	—
611	C₂×D₅	—	2	1	no	—
612	C₂×D₅	—	2	1	no	—
613	C₂×D₅	—	4	4	no	—
614	C₂×D₅	D₄×Dic₃	1	2	yes	—
615	C₄×C₅	—	2	1	no	—
616	C₄×C₅	—	2	1	no	—
617	C₄×C₅	—	2	1	no	—
618	C₄×C₅	—	2	1	no	—
619	C₄×C₅	C₂×D₃×D₄	1	1	yes	characteristic
620	C₄×C₅	C₂×#237	1	1	yes	characteristic
621	Dic₅	—	2	1	no	—
622	Dic₅	—	2	1	no	—
623	Dic₅	—	2	1	no	—
624	Dic₅	—	2	1	no	—
625	Dic₅	D₄×Dic₃	1	2	yes	—
626	C₂⁴	—	5	1	no	—
627	#41	—	10	2	no	—
628	#41	—	10	2	no	—
629	C₂×Q₈	—	5	1	no	—
630	C₂×D₄	—	5	1	no	—
631	C₂×D₄	—	5	1	no	—
632	C₂×D₄	—	5	1	no	—
633	C₂×D₄	—	5	1	no	—
634	C₂×D₄	—	5	1	no	—
635	C₂×D₄	—	5	1	no	—
636	C₂×D₄	D₅×Dic₃	1	1	yes	characteristic
637	C₂²×C₄	—	5	1	no	—
638	C₂²×C₄	—	5	1	no	—
639	C₂²×C₄	—	5	1	no	—
640	C₂²×C₄	—	5	1	no	—
641	C₂²×C₄	—	5	1	no	—
642	C₂²×C₄	—	5	1	no	—
643	C₂²×C₄	—	10	2	no	—
644	C₂²×C₄	—	10	2	no	—
645	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
646	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
647	M₁₆	—	15	4	no	—
648	M₁₆	—	30	2	no	—
649	M₁₆	—	30	2	no	—
650	M₁₆	—	30	2	no	—
651	M₁₆	—	30	2	no	—
652	M₁₆	—	30	2	no	—
653	C₂×C₈	—	3	1	no	—
654	C₂×C₈	—	3	1	no	—
655	C₂×C₈	—	3	1	no	—
656	C₂×C₈	—	3	1	no	—
657	C₂×C₈	—	6	2	no	—
658	C₂×C₈	—	6	2	no	—
659	C₂×C₈	—	15	1	no	—
660	C₂×C₈	—	15	1	no	—
661	C₂×C₈	—	15	1	no	—
662	C₂×C₈	—	15	1	no	—
663	C₂×C₈	—	30	2	no	—
664	C₂×C₈	—	30	2	no	—
665	C₂×C₈	—	30	2	no	—
666	C₂×C₈	—	30	2	no	—
667	C₄⋊C₄	—	5	1	no	—
668	C₄⋊C₄	—	5	1	no	—
669	C₄⋊C₄	—	5	1	no	—
670	C₄⋊C₄	—	5	1	no	—
671	C₄⋊C₄	—	5	1	no	—
672	C₄⋊C₄	D₅×Dic₃	1	1	yes	characteristic
673	C₂²⋊C₄	—	5	1	no	—
674	C₂²⋊C₄	—	5	1	no	—
675	C₂²⋊C₄	—	5	1	no	—
676	C₂²⋊C₄	—	5	1	no	—
677	C₂²⋊C₄	—	5	1	no	—
678	C₂²⋊C₄	—	5	1	no	—
679	C₂²⋊C₄	—	5	1	no	—
680	C₂²⋊C₄	—	5	1	no	—
681	C₂²⋊C₄	D₅×Dic₃	1	1	yes	characteristic
682	C₂²⋊C₄	D₅×Dic₃	1	1	yes	characteristic
683	C₄²	—	5	1	no	—
684	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
685	C₃×C₅	#2933	1	1	yes	characteristic, complemented, Hall
686	C₂²×C₃	—	2	1	no	—
687	C₂²×C₃	—	2	1	no	—
688	C₂²×C₃	—	2	1	no	—
689	C₂²×C₃	—	2	1	no	—
690	C₂²×C₃	—	2	1	no	—
691	C₂²×C₃	—	5	2	no	—
692	C₂²×C₃	—	10	1	no	—
693	C₂²×C₃	—	10	1	no	—
694	C₂²×C₃	—	10	1	no	—
695	C₂²×C₃	—	10	1	no	—
696	C₂²×C₃	—	10	1	no	—
697	C₂²×C₃	—	10	1	no	—
698	C₂²×C₃	—	10	1	no	—
699	C₂²×C₃	—	10	1	no	—
700	C₂²×C₃	—	20	4	no	—
701	C₂²×C₃	#4047	1	2	yes	complemented
702	C₂²×C₃	C₂²×C₄×D₅	1	1	yes	characteristic
703	C₃×C₄	—	2	1	no	—
704	C₃×C₄	—	2	1	no	—
705	C₃×C₄	—	2	1	no	—
706	C₃×C₄	—	2	1	no	—
707	C₃×C₄	—	5	2	no	—
708	C₃×C₄	—	10	1	no	—
709	C₃×C₄	—	10	1	no	—
710	C₃×C₄	—	10	1	no	—
711	C₃×C₄	—	10	1	no	—
712	C₃×C₄	C₂×D₄×D₅	1	1	yes	characteristic
713	C₃×C₄	D₅×#41	1	1	yes	characteristic
714	C₂×C₅	—	2	2	no	—
715	C₂×C₅	—	4	1	no	—
716	C₂×C₅	C₂×D₄×Dic₃	1	1	yes	characteristic
717	C₂×C₅	C₂×#948	1	1	yes	characteristic
718	C₂×C₅	#5819	1	1	yes	characteristic
719	D₅	—	2	2	no	—
720	D₅	—	4	1	no	—
721	D₅	—	4	1	no	—
722	C₂³	—	5	1	no	—
723	C₂³	—	5	1	no	—
724	C₂³	—	5	1	no	—
725	C₂³	—	10	2	no	—
726	C₂³	—	10	2	no	—
727	C₂³	—	20	1	no	—
728	C₂³	C₂×D₅×Dic₃	1	1	yes	characteristic
729	C₂³	C₂×D₅×Dic₃	1	1	yes	characteristic
730	Q₈	—	10	2	no	—
731	D₄	—	2	2	no	—
732	D₄	—	10	2	no	—
733	D₄	—	10	2	no	—
734	D₄	—	10	2	no	—
735	D₄	—	10	2	no	—
736	D₄	—	20	1	no	—
737	D₄	—	20	1	no	—
738	C₂×C₄	—	2	1	no	—
739	C₂×C₄	—	2	1	no	—
740	C₂×C₄	—	2	1	no	—
741	C₂×C₄	—	2	1	no	—
742	C₂×C₄	—	5	1	no	—
743	C₂×C₄	—	5	2	no	—
744	C₂×C₄	—	5	2	no	—
745	C₂×C₄	—	5	1	no	—
746	C₂×C₄	—	5	1	no	—
747	C₂×C₄	—	5	1	no	—
748	C₂×C₄	—	5	1	no	—
749	C₂×C₄	—	10	2	no	—
750	C₂×C₄	—	10	2	no	—
751	C₂×C₄	—	10	2	no	—
752	C₂×C₄	—	10	1	no	—
753	C₂×C₄	—	10	1	no	—
754	C₂×C₄	—	10	1	no	—
755	C₂×C₄	—	10	1	no	—
756	C₂×C₄	C₂×D₅×Dic₃	1	1	yes	characteristic
757	C₂×C₄	C₂×D₅×Dic₃	1	1	yes	characteristic
758	C₂×C₄	C₂×D₅×Dic₃	1	1	yes	characteristic
759	C₂×C₄	C₂×D₅×Dic₃	1	1	yes	characteristic
760	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
761	C₈	—	3	2	no	—
762	C₈	—	6	1	no	—
763	C₈	—	6	1	no	—
764	C₈	—	6	1	no	—
765	C₈	—	15	2	no	—
766	C₈	—	30	1	no	—
767	C₈	—	30	1	no	—
768	C₈	—	30	1	no	—
769	C₂×C₃	—	2	2	no	—
770	C₂×C₃	—	4	1	no	—
771	C₂×C₃	—	10	2	no	—
772	C₂×C₃	—	20	1	no	—
773	C₂×C₃	—	20	1	no	—
774	C₂×C₃	C₄×D₄×D₅	1	1	yes	characteristic
775	C₂×C₃	C₂×#4047	1	1	yes	characteristic
776	C₂×C₃	#66084	1	1	yes	characteristic
777	C₅	#82918	1	1	yes	characteristic, complemented, Sylow
778	C₂²	—	2	1	no	—
779	C₂²	—	2	1	no	—
780	C₂²	—	2	1	no	—
781	C₂²	—	2	1	no	—
782	C₂²	—	2	1	no	—
783	C₂²	—	5	2	no	—
784	C₂²	—	10	1	no	—
785	C₂²	—	10	1	no	—
786	C₂²	—	10	1	no	—
787	C₂²	—	10	1	no	—
788	C₂²	—	10	1	no	—
789	C₂²	—	10	1	no	—
790	C₂²	—	10	1	no	—
791	C₂²	—	10	1	no	—
792	C₂²	—	20	4	no	—
793	C₂²	#91283	1	2	yes	complemented
794	C₂²	C₂²×D₅×Dic₃	1	1	yes	characteristic
795	C₄	—	2	1	no	—
796	C₄	—	2	1	no	—
797	C₄	—	2	1	no	—
798	C₄	—	2	1	no	—
799	C₄	—	5	2	no	—
800	C₄	—	10	1	no	—
801	C₄	—	10	1	no	—
802	C₄	—	10	1	no	—
803	C₄	—	10	1	no	—
804	C₄	D₃×D₄×D₅	1	1	yes	characteristic
805	C₄	D₅×#237	1	1	yes	characteristic
806	C₃	#10611154	1	1	yes	characteristic, complemented, Sylow
807	C₂	—	2	2	no	—
808	C₂	—	4	1	no	—
809	C₂	—	10	2	no	—
810	C₂	—	20	1	no	—
811	C₂	—	20	1	no	—
812	C₂	C₂×#91283	1	1	yes	characteristic
813	C₂	D₄×D₅×Dic₃	1	1	yes	characteristic
814	C₂	#11755296	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂²×D₃×D₅
commutator, socle	C₂²×C₃×C₅	C₂³×C₄
Fitting	C₃×C₄×C₅×D₄	C₂²
prime radical	C₃×#65881	C₂
cosocle	C₂×C₃×C₄×C₅	C₂⁴
hypercenter	C₄×D₄	D₃×D₅
hypocenter	C₃×C₅	#2933
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₄×D₄

Complements

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

N	H ≅ G/N	type
2. C₂²×#6649	C₂	semidirect
3. C₂×#91283	C₂	semidirect
4. #11751112	C₂	semidirect
5. C₅×D₄×C₃⋊C₈	C₂	semidirect
6. #11748503	C₂	semidirect
7. #11748503	C₂	semidirect
8. #11748493	C₂	semidirect
9. #11748482	C₂	semidirect
10. D₅×#830	C₂	semidirect
11. #11748339	C₂	semidirect
12. #11747010	C₂	semidirect
13. #11746997	C₂	semidirect
14. #11746985	C₂	semidirect
15. #11746974	C₂	semidirect
20. C₂×#6710	C₂²	semidirect
23. C₂²×C₅×C₃⋊C₈	C₂²	semidirect
41. C₂×#6649	C₂²	semidirect
45. C₂×D₅×C₃⋊C₈	C₂²	semidirect
47. #91114	C₂²	semidirect
48. C₄⋊(C₃⋊#168)	C₂²	semidirect
49. #91087	C₂²	semidirect
51. C₅×#830	C₂²	semidirect
52. C₅×C₄⋊(C₃⋊C₈)	C₂²	semidirect
53. C₄×C₅×C₃⋊C₈	C₂²	semidirect
54. #90982	C₂²	semidirect
55. #90982	C₂²	semidirect
58. #90955	C₂²	semidirect
59. #90955	C₂²	semidirect
60. #90952	C₂²	semidirect
61. Dic₅×C₃⋊C₈	C₂²	semidirect
133. #6649	D₄	semidirect
149. D₄×C₃⋊C₈	D₅	semidirect
273. C₂²×C₃⋊C₈	C₂×D₅	semidirect
281. #830	C₂×D₅	semidirect
285. C₄⋊(C₃⋊C₈)	C₂×D₅	semidirect
289. C₄×C₃⋊C₈	C₂×D₅	semidirect
369. C₂²×C₃×C₅	#131	semidirect
603. C₂²×C₅	#948	semidirect
685. C₃×C₅	#2933	semidirect
701. C₂²×C₃	#4047	semidirect
777. C₅	#82918	semidirect
793. C₂²	#91283	semidirect
806. C₃	#10611154	semidirect

Maximal subgroups

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

subgroup	index
C₃×#65881	2
C₂²×#6649	2
C₂×#91283	2
#11751112	2
C₅×D₄×C₃⋊C₈	2
#11748503	2
#11748493	2
#11748482	2
D₅×#830	2
#11748339	2
#11747010	2
#11746997	2
#11746985	2
#11746974	2
#10611154	3
#82918	5