Subgroups — #14415014

Order 1920.

1040 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	C₂²×C₅×D₃×C₈	C₂	1	1	yes	maximal, characteristic, complemented
2	#11754538	C₂	1	1	yes	maximal, characteristic
3	C₂×#91267	C₂	1	1	yes	maximal, characteristic, complemented
4	#11751212	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#65400	C₂	1	1	yes	maximal, characteristic, complemented
6	#11748505	C₂	1	1	yes	maximal, characteristic, complemented
7	#11748491	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃⋊C₈×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
9	#11748139	C₂	1	1	yes	maximal, characteristic, complemented
10	#11747719	C₂	1	1	yes	maximal, characteristic, complemented
11	#11747711	C₂	1	1	yes	maximal, characteristic, complemented
12	#11747700	C₂	1	1	yes	maximal, characteristic, complemented
13	#11747695	C₂	1	1	yes	maximal, characteristic, complemented
14	#11747665	C₂	1	1	yes	maximal, characteristic, complemented
15	#11747655	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615465	—	3	1	no	maximal, Hall
17	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
18	C₂×#6771	C₂²	1	1	yes	characteristic
19	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
20	C₄×#1220	C₂²	1	1	yes	characteristic
21	C₂×#6705	C₂²	1	1	yes	characteristic, complemented
22	C₂²×C₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
23	C₂×C₅×D₃×C₈	—	2	4	no	—
24	C₂×C₅×D₃×C₈	C₂²	1	1	yes	characteristic
25	C₂×C₅×D₃×C₈	C₂²	1	1	yes	characteristic
26	C₂×C₅×D₃×C₈	C₂²	1	1	yes	characteristic
27	C₂×C₅×D₃×C₈	C₂²	1	1	yes	characteristic
28	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
29	C₂×C₃×#676	C₂²	1	1	yes	characteristic, complemented
30	#91575	C₄	1	1	yes	characteristic
31	#91570	C₄	1	1	yes	characteristic
32	#91569	C₄	1	1	yes	characteristic
33	#91568	C₄	1	1	yes	characteristic
34	#91454	C₄	1	1	yes	characteristic
35	#91452	C₄	1	1	yes	characteristic
36	C₄×#1203	C₂²	1	1	yes	characteristic
37	C₄×#1201	C₂²	1	1	yes	characteristic
38	#91371	C₂²	1	1	yes	characteristic
39	#91352	C₄	1	1	yes	characteristic
40	#91351	C₄	1	1	yes	characteristic
41	C₂×#6650	C₂²	1	1	yes	characteristic
42	C₂×#6650	C₂²	1	1	yes	characteristic
43	C₂×#6648	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₅×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
45	#91267	—	2	4	no	—
46	#91114	C₂²	1	1	yes	characteristic
47	#91104	C₂²	1	1	yes	characteristic, complemented
48	#91099	C₂²	1	1	yes	characteristic, complemented
49	#91098	C₂²	1	1	yes	characteristic, complemented
50	C₃×C₂²⋊#168	C₂²	1	1	yes	characteristic
51	C₃×#3952	C₂²	1	1	yes	characteristic, complemented
52	C₃×#3947	C₂²	1	1	yes	characteristic, complemented
53	C₃×#3946	C₂²	1	1	yes	characteristic, complemented
54	#90983	C₂²	1	1	yes	characteristic, complemented
55	#90982	C₂²	1	1	yes	characteristic, complemented
56	#90957	C₂²	1	1	yes	characteristic, complemented
57	(C₂×D₃)⋊#168	C₂²	1	1	yes	characteristic
58	(C₂×D₃)⋊#168	C₂²	1	1	yes	characteristic
59	#90955	C₂²	1	1	yes	characteristic, complemented
60	#90951	C₂²	1	1	yes	characteristic, complemented
61	Dic₅×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
62	#79478	—	5	1	no	maximal, Hall
63	C₂³×C₅×C₈	—	3	1	no	—
64	#66125	—	3	1	no	—
65	C₂×#4047	—	3	1	no	—
66	#65496	—	3	1	no	—
67	#65400	—	3	1	no	—
68	#65400	—	3	1	no	—
69	#65400	—	3	1	no	—
70	#65400	D₃	1	1	yes	characteristic, complemented
71	#65399	—	3	1	no	—
72	C₈×C₂²⋊D₅	—	3	1	no	—
73	C₈×C₂²⋊D₅	—	3	1	no	—
74	C₈×C₂²⋊D₅	—	3	1	no	—
75	C₈×C₂²⋊D₅	—	3	1	no	—
76	#65391	—	3	1	no	—
77	#65390	—	3	1	no	—
78	C₂³×C₅×D₃	C₂×C₄	1	1	yes	characteristic
79	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
80	C₂×#1220	C₂×C₄	1	1	yes	characteristic
81	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
82	C₂²×C₅×Dic₃	C₂×C₄	1	1	yes	characteristic
83	C₂×C₄×C₅×D₃	—	2	2	no	—
84	C₂×C₄×C₅×D₃	—	2	2	no	—
85	C₂×C₄×C₅×D₃	C₂×C₄	1	1	yes	characteristic
86	C₂×C₄×C₅×D₃	C₂×C₄	1	1	yes	characteristic
87	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
88	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
89	C₂×C₃×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
90	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
91	C₂×#1204	C₂×C₄	1	1	yes	characteristic
92	C₂×#1203	C₂×C₄	1	1	yes	characteristic
93	C₂×#1203	C₂×C₄	1	1	yes	characteristic
94	C₂×#1202	C₂×C₄	1	1	yes	characteristic
95	C₂×#1201	C₂×C₄	1	1	yes	characteristic
96	C₂×#1201	C₂×C₄	1	1	yes	characteristic
97	#6771	—	2	2	no	—
98	#6771	—	2	2	no	—
99	C₂×C₃×C₅×C₈	—	2	2	no	—
100	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
101	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
102	#6719	C₂×C₄	1	1	yes	characteristic
103	#6714	C₂×C₄	1	1	yes	characteristic
104	#6712	C₂×C₄	1	1	yes	characteristic
105	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
106	C₂×C₃⋊#168	C₂³	1	1	yes	characteristic
107	C₂×C₃⋊#168	C₂³	1	1	yes	characteristic
108	#6705	—	2	2	no	—
109	C₂×C₅×C₃⋊C₈	—	2	2	no	—
110	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
111	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
112	C₅×D₃×C₈	—	2	2	no	—
113	C₅×D₃×C₈	—	2	2	no	—
114	C₅×D₃×C₈	—	2	2	no	—
115	C₅×D₃×C₈	D₄	1	4	yes	complemented
116	C₃×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
117	C₃×#685	C₂×C₄	1	1	yes	characteristic
118	C₃×#683	C₂×C₄	1	1	yes	characteristic
119	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
120	C₂×C₃×#168	C₂³	1	1	yes	characteristic
121	C₂×C₃×#168	C₂³	1	1	yes	characteristic
122	C₃×#676	—	2	2	no	—
123	Dic₃⋊Dic₅	C₂×C₄	1	1	yes	characteristic
124	Dic₃⋊Dic₅	C₂×C₄	1	1	yes	characteristic
125	#6669	C₂×C₄	1	1	yes	characteristic
126	#6668	C₂×C₄	1	1	yes	characteristic
127	#6667	C₂×C₄	1	1	yes	characteristic
128	(C₂×D₃)⋊Dic₅	C₂×C₄	1	1	yes	characteristic
129	(C₂×D₃)⋊Dic₅	C₂×C₄	1	1	yes	characteristic
130	(C₂×D₃)⋊Dic₅	C₂×C₄	1	1	yes	characteristic
131	(C₂×D₃)⋊Dic₅	C₂×C₄	1	1	yes	characteristic
132	#6665	C₂×C₄	1	1	yes	characteristic
133	#6650	—	2	2	no	—
134	#6650	—	2	2	no	—
135	#6648	—	2	2	no	—
136	D₅×C₃⋊C₈	—	2	2	no	—
137	C₂×#907	—	5	1	no	—
138	C₂²×D₃×C₈	D₅	1	1	yes	characteristic, complemented
139	#5547	—	5	1	no	—
140	C₃×#435	—	5	1	no	—
141	#5127	—	5	1	no	—
142	#5111	—	5	1	no	—
143	D₄×C₃⋊C₈	—	5	1	no	—
144	#4839	—	5	1	no	—
145	#4834	—	5	1	no	—
146	#4727	—	5	1	no	—
147	#4726	—	5	1	no	—
148	#67⋊C₈	—	5	1	no	—
149	#67⋊C₈	—	5	1	no	—
150	#4708	—	5	1	no	—
151	#4706	—	5	1	no	—
152	C₂³×C₄×C₅	—	3	1	no	—
153	C₂×#709	—	3	1	no	—
154	C₂²×C₅×C₈	—	3	1	no	—
155	C₂²×C₅×C₈	—	3	1	no	—
156	C₂²×C₅×C₈	—	3	1	no	—
157	C₂²×C₅×C₈	—	3	1	no	—
158	C₂²×C₅×C₈	—	3	1	no	—
159	C₂²×C₅×C₈	—	6	4	no	—
160	C₂²×C₅×C₈	C₂×D₃	1	1	yes	characteristic
161	#4099	—	3	1	no	—
162	#4099	—	3	1	no	—
163	#4076	—	3	1	no	—
164	#4076	—	3	1	no	—
165	#4075	—	3	1	no	—
166	#4075	—	3	1	no	—
167	C₄×C₂²⋊D₅	—	3	1	no	—
168	C₄×C₂²⋊D₅	—	3	1	no	—
169	C₄×C₂²⋊D₅	—	3	1	no	—
170	C₄×C₂²⋊D₅	C₂×D₃	1	1	yes	characteristic
171	#4072	—	3	1	no	—
172	#4070	—	3	1	no	—
173	#4070	—	3	1	no	—
174	C₂×#681	—	3	1	no	—
175	C₂×#681	—	3	1	no	—
176	#4047	—	6	4	no	—
177	C₂×#676	—	3	1	no	—
178	C₂×#676	C₂×D₃	1	1	yes	characteristic, complemented
179	C₂×C₈×D₅	—	3	1	no	—
180	C₂×C₈×D₅	—	3	1	no	—
181	C₂²⋊#168	—	3	1	no	—
182	C₂²⋊#168	—	3	1	no	—
183	C₂²⋊#168	—	3	1	no	—
184	C₂²⋊#168	C₂×D₃	1	1	yes	characteristic
185	#3952	—	3	1	no	—
186	#3952	—	3	1	no	—
187	#3952	—	3	1	no	—
188	#3952	C₂×D₃	1	1	yes	characteristic, complemented
189	#3947	—	3	1	no	—
190	#3947	C₂×D₃	1	1	yes	characteristic, complemented
191	#3946	—	3	1	no	—
192	#3946	—	3	1	no	—
193	#3946	—	3	1	no	—
194	#3946	C₂×D₃	1	1	yes	characteristic, complemented
195	C₈×Dic₅	—	3	1	no	—
196	C₈×Dic₅	—	3	1	no	—
197	#2929	—	15	1	no	Sylow
198	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
199	C₂²×D₁₅	C₂²×C₄	1	1	yes	characteristic
200	C₂²×C₅×D₃	—	2	2	no	—
201	C₂²×C₅×D₃	—	2	2	no	—
202	C₂²×C₅×D₃	—	2	2	no	—
203	C₂²×C₅×D₃	C₂²×C₄	1	1	yes	characteristic
204	C₂²×C₅×D₃	C₂²×C₄	1	1	yes	characteristic
205	C₂²×C₃×D₅	C₂²×C₄	1	1	yes	characteristic
206	C₂×C₃×C₄×C₅	—	2	1	no	—
207	C₂×C₃×C₄×C₅	—	2	1	no	—
208	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
209	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
210	#1220	—	2	2	no	—
211	C₂×Dic₁₅	C₂²×C₄	1	1	yes	characteristic
212	C₂×Dic₁₅	C₂²×C₄	1	1	yes	characteristic
213	C₂×Dic₁₅	C₂²×C₄	1	1	yes	characteristic
214	C₄×D₁₅	—	2	1	no	—
215	C₄×D₁₅	—	2	1	no	—
216	C₂×C₅×Dic₃	—	2	2	no	—
217	C₂×C₅×Dic₃	C₂²×C₄	1	1	yes	characteristic
218	C₂×C₅×Dic₃	C₂²×C₄	1	1	yes	characteristic
219	C₄×C₅×D₃	—	2	2	no	—
220	C₄×C₅×D₃	—	2	1	no	—
221	C₄×C₅×D₃	—	2	1	no	—
222	C₄×C₅×D₃	—	2	2	no	—
223	C₄×C₅×D₃	C₂×D₄	1	2	yes	—
224	C₄×C₅×D₃	#41	1	2	yes	—
225	C₃×C₂²⋊D₅	—	2	2	no	—
226	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
227	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
228	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
229	C₃×C₄×D₅	—	2	1	no	—
230	C₃×C₄×D₅	—	2	1	no	—
231	#1204	—	2	2	no	—
232	#1203	—	2	2	no	—
233	#1203	—	2	2	no	—
234	#1202	—	2	2	no	—
235	#1201	—	2	2	no	—
236	#1201	—	2	2	no	—
237	C₃×C₅×C₈	—	2	1	no	—
238	C₃×C₅×C₈	C₂×D₄	1	2	yes	—
239	C₃⋊#168	—	2	1	no	—
240	C₃⋊#168	—	2	1	no	—
241	C₃×#168	—	2	1	no	—
242	C₃×#168	—	2	1	no	—
243	C₅×C₃⋊C₈	—	2	1	no	—
244	C₅×C₃⋊C₈	C₂×D₄	1	2	yes	—
245	C₂×#235	—	5	1	no	—
246	C₂²×C₄×D₃	C₂×D₅	1	1	yes	characteristic
247	C₂×C₃×M₁₆	—	5	1	no	—
248	C₂²×C₃×C₈	C₂×D₅	1	1	yes	characteristic
249	C₃×C₄×D₄	—	5	1	no	—
250	#939	—	5	1	no	—
251	#937	—	5	1	no	—
252	C₄×#67	—	5	1	no	—
253	C₄×#67	—	5	1	no	—
254	C₂²×C₃⋊C₈	—	5	1	no	—
255	C₂²×C₃⋊C₈	C₂×D₅	1	1	yes	characteristic
256	#907	—	10	4	no	—
257	C₂×ΓL(1,𝔽₂₅)	—	5	1	no	—
258	C₂×ΓL(1,𝔽₂₅)	—	5	1	no	—
259	C₂×ΓL(1,𝔽₂₅)	—	5	1	no	—
260	C₂×D₃×C₈	—	2	4	no	—
261	C₂×D₃×C₈	—	5	1	no	—
262	C₂×D₃×C₈	C₂×D₅	1	1	yes	characteristic
263	C₂×D₃×C₈	C₂×D₅	1	1	yes	characteristic
264	C₂×D₃×C₈	C₂×D₅	1	1	yes	characteristic
265	C₂×D₃×C₈	C₂×D₅	1	1	yes	characteristic
266	#896	—	5	1	no	—
267	#894	—	5	1	no	—
268	#884	—	5	1	no	—
269	#883	—	5	1	no	—
270	#882	—	5	1	no	—
271	#878	—	5	1	no	—
272	C₄×D₁₂	—	5	1	no	—
273	#872	—	5	1	no	—
274	C₃×C₄⋊C₈	—	5	1	no	—
275	C₃×C₂²⋊C₈	—	5	1	no	—
276	C₃×C₂²⋊C₈	—	5	1	no	—
277	C₃×#97	—	5	1	no	—
278	#830	—	5	1	no	—
279	#830	—	5	1	no	—
280	(C₂×D₃)⋊C₈	—	5	1	no	—
281	(C₂×D₃)⋊C₈	—	5	1	no	—
282	(C₂×D₃)⋊C₈	—	5	1	no	—
283	(C₂×D₃)⋊C₈	—	5	1	no	—
284	#815	—	5	1	no	—
285	Dic₃⋊C₈	—	5	1	no	—
286	Dic₃⋊C₈	—	5	1	no	—
287	C₈×Dic₃	—	5	1	no	—
288	C₄⋊(C₃⋊C₈)	—	5	1	no	—
289	C₄×C₃⋊C₈	—	5	1	no	—
290	C₂⁴×C₅	—	3	1	no	—
291	C₂²×C₄×C₅	—	3	1	no	—
292	C₂²×C₄×C₅	—	3	1	no	—
293	C₂²×C₄×C₅	—	3	1	no	—
294	C₂²×C₄×C₅	—	3	1	no	—
295	C₂²×C₄×C₅	—	3	1	no	—
296	C₂²×C₄×C₅	—	6	2	no	—
297	C₂²×C₄×C₅	—	6	2	no	—
298	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
299	C₂×C₂²⋊D₅	—	3	1	no	—
300	C₂×C₂²⋊D₅	—	3	1	no	—
301	C₂×C₂²⋊D₅	—	3	1	no	—
302	C₂×C₂²⋊D₅	—	3	1	no	—
303	C₂×C₂²⋊D₅	—	3	1	no	—
304	C₂×C₂²⋊D₅	C₄×D₃	1	1	yes	characteristic
305	#709	—	6	2	no	—
306	#709	—	6	2	no	—
307	C₂×D₂₀	—	3	1	no	—
308	C₂×C₄×D₅	—	3	1	no	—
309	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
310	C₂×Dic₁₀	—	3	1	no	—
311	C₂×C₅×C₈	—	2	2	no	—
312	C₂×C₅×C₈	—	3	1	no	—
313	C₂×C₅×C₈	—	3	4	no	—
314	C₂×C₅×C₈	—	3	1	no	—
315	C₂×C₅×C₈	—	6	2	no	—
316	C₂×C₅×C₈	—	6	2	no	—
317	C₂×C₅×C₈	—	6	2	no	—
318	C₂×C₅×C₈	—	6	2	no	—
319	C₂×C₅×C₈	C₂²×D₃	1	1	yes	characteristic
320	C₂×C₅×C₈	C₂²×D₃	1	1	yes	characteristic
321	C₂²⋊Dic₅	—	3	1	no	—
322	C₂²⋊Dic₅	—	3	1	no	—
323	C₂²⋊Dic₅	—	3	1	no	—
324	C₂²⋊Dic₅	—	3	1	no	—
325	C₂²⋊Dic₅	—	3	1	no	—
326	C₂²⋊Dic₅	C₄×D₃	1	1	yes	characteristic
327	#685	—	3	1	no	—
328	#685	—	3	1	no	—
329	#685	—	3	1	no	—
330	#685	C₄×D₃	1	1	yes	characteristic
331	C₄⋊Dic₅	—	3	1	no	—
332	C₄⋊Dic₅	—	3	1	no	—
333	#683	—	3	1	no	—
334	#683	—	3	1	no	—
335	#683	—	3	1	no	—
336	#683	C₄×D₃	1	1	yes	characteristic
337	C₄×Dic₅	—	3	1	no	—
338	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
339	#681	—	6	2	no	—
340	#681	—	6	2	no	—
341	C₂×#168	—	3	1	no	—
342	C₂×#168	—	3	1	no	—
343	C₂×#168	C₂²×D₃	1	1	yes	characteristic
344	C₂×#168	C₂²×D₃	1	1	yes	characteristic
345	#676	—	2	2	no	—
346	#676	—	6	2	no	—
347	C₈×D₅	—	6	2	no	—
348	C₈×D₅	—	6	2	no	—
349	C₂×#131	—	15	1	no	—
350	C₂³×C₈	—	3	1	no	—
351	#525	—	15	1	no	—
352	#435	—	5	1	no	—
353	#435	—	15	1	no	—
354	#435	—	15	1	no	—
355	#435	—	15	1	no	—
356	C₈×D₄	—	15	1	no	—
357	C₈×D₄	—	15	1	no	—
358	C₈×D₄	—	15	1	no	—
359	C₈×D₄	—	15	1	no	—
360	#424	—	15	1	no	—
361	#408	—	15	1	no	—
362	#407	—	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	#131	1	2	yes	complemented
367	C₂²×C₃×C₅	C₂³×C₄	1	1	yes	characteristic
368	C₂×D₁₅	—	2	1	no	—
369	C₂×D₁₅	—	2	1	no	—
370	C₂×D₁₅	—	2	1	no	—
371	C₂×C₅×D₃	—	2	8	no	—
372	C₂×C₅×D₃	—	2	1	no	—
373	C₂×C₅×D₃	—	2	1	no	—
374	C₂×C₅×D₃	—	2	1	no	—
375	C₂×C₅×D₃	—	2	1	no	—
376	C₂×C₅×D₃	C₄×D₄	1	2	yes	—
377	C₂×C₅×D₃	#131	1	2	yes	complemented
378	C₂×C₃×D₅	—	2	1	no	—
379	C₂×C₃×D₅	—	2	1	no	—
380	C₂×C₃×D₅	—	2	1	no	—
381	C₃×C₄×C₅	—	2	1	no	—
382	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
383	C₃×C₄×C₅	C₂×#41	1	1	yes	characteristic
384	Dic₁₅	—	2	1	no	—
385	Dic₁₅	—	2	1	no	—
386	Dic₁₅	—	2	1	no	—
387	C₃×Dic₅	—	2	1	no	—
388	C₃×Dic₅	—	2	1	no	—
389	C₃×Dic₅	—	2	1	no	—
390	C₅×Dic₃	—	2	1	no	—
391	C₅×Dic₃	C₄×D₄	1	2	yes	—
392	C₂³×D₃	C₄×D₅	1	1	yes	characteristic
393	C₂×C₃×D₄	—	5	1	no	—
394	C₂²×C₃×C₄	—	5	1	no	—
395	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
396	C₂×#67	—	5	1	no	—
397	C₂×#67	—	5	1	no	—
398	C₂×#67	—	5	1	no	—
399	C₂×#67	—	5	1	no	—
400	C₂²×Dic₃	C₄×D₅	1	1	yes	characteristic
401	#235	—	10	2	no	—
402	#235	—	10	2	no	—
403	C₂×D₁₂	—	5	1	no	—
404	C₂×D₁₂	—	5	1	no	—
405	C₂×C₄×D₃	—	2	2	no	—
406	C₂×C₄×D₃	—	2	2	no	—
407	C₂×C₄×D₃	—	5	1	no	—
408	C₂×C₄×D₃	C₄×D₅	1	1	yes	characteristic
409	C₂×C₄×D₃	C₄×D₅	1	1	yes	characteristic
410	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
411	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
412	C₂×Dic₆	—	5	1	no	—
413	C₃×M₁₆	—	10	2	no	—
414	C₂×C₃×C₈	—	2	2	no	—
415	C₂×C₃×C₈	—	5	1	no	—
416	C₂×C₃×C₈	—	5	1	no	—
417	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
418	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
419	C₃×C₄⋊C₄	—	5	1	no	—
420	C₃×C₂²⋊C₄	—	5	1	no	—
421	C₃×C₂²⋊C₄	—	5	1	no	—
422	C₃×C₄²	—	5	1	no	—
423	#217	—	5	1	no	—
424	#217	—	5	1	no	—
425	(C₂×D₃)⋊C₄	—	5	1	no	—
426	(C₂×D₃)⋊C₄	—	5	1	no	—
427	(C₂×D₃)⋊C₄	—	5	1	no	—
428	(C₂×D₃)⋊C₄	—	5	1	no	—
429	(C₂×D₃)⋊C₄	—	5	1	no	—
430	(C₂×D₃)⋊C₄	—	5	1	no	—
431	C₄⋊Dic₃	—	5	1	no	—
432	Dic₃⋊C₄	—	5	1	no	—
433	Dic₃⋊C₄	—	5	1	no	—
434	Dic₃⋊C₄	—	5	1	no	—
435	Dic₃⋊C₄	—	5	1	no	—
436	C₄×Dic₃	—	5	1	no	—
437	C₂×C₃⋊C₈	—	2	2	no	—
438	C₂×C₃⋊C₈	—	5	1	no	—
439	C₂×C₃⋊C₈	—	5	1	no	—
440	C₂×C₃⋊C₈	—	10	2	no	—
441	C₂×C₃⋊C₈	C₂²×D₅	1	1	yes	characteristic
442	C₂×C₃⋊C₈	C₂²×D₅	1	1	yes	characteristic
443	ΓL(1,𝔽₂₅)	—	10	2	no	—
444	ΓL(1,𝔽₂₅)	—	10	2	no	—
445	ΓL(1,𝔽₂₅)	—	10	2	no	—
446	D₃×C₈	—	2	2	no	—
447	D₃×C₈	—	2	2	no	—
448	D₃×C₈	—	2	2	no	—
449	D₃×C₈	—	10	2	no	—
450	D₃×C₈	C₂²⋊D₅	1	4	yes	complemented
451	C₂³×C₅	—	3	1	no	—
452	C₂³×C₅	—	3	1	no	—
453	C₂³×C₅	—	6	2	no	—
454	C₂³×C₅	—	6	2	no	—
455	C₂³×C₅	—	6	2	no	—
456	C₂³×C₅	C₂×C₄×D₃	1	1	yes	characteristic
457	C₂²×D₅	—	3	1	no	—
458	C₂²×D₅	C₂×C₄×D₃	1	1	yes	characteristic
459	C₂×C₄×C₅	—	2	1	no	—
460	C₂×C₄×C₅	—	2	1	no	—
461	C₂×C₄×C₅	—	3	1	no	—
462	C₂×C₄×C₅	—	3	2	no	—
463	C₂×C₄×C₅	—	3	2	no	—
464	C₂×C₄×C₅	—	3	1	no	—
465	C₂×C₄×C₅	—	6	2	no	—
466	C₂×C₄×C₅	—	6	2	no	—
467	C₂×C₄×C₅	—	6	2	no	—
468	C₂×C₄×C₅	—	6	1	no	—
469	C₂×C₄×C₅	—	6	1	no	—
470	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
471	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
472	C₂²⋊D₅	—	2	2	no	—
473	C₂²⋊D₅	—	6	2	no	—
474	C₂²⋊D₅	—	6	2	no	—
475	C₂²⋊D₅	—	6	2	no	—
476	C₂²⋊D₅	—	6	2	no	—
477	C₂²⋊D₅	—	6	2	no	—
478	C₂×Dic₅	—	3	1	no	—
479	C₂×Dic₅	—	3	1	no	—
480	C₂×Dic₅	—	3	1	no	—
481	C₂×Dic₅	C₂×C₄×D₃	1	1	yes	characteristic
482	C₂×Dic₅	C₂×C₄×D₃	1	1	yes	characteristic
483	C₂×Dic₅	C₂×C₄×D₃	1	1	yes	characteristic
484	D₂₀	—	6	2	no	—
485	C₄×D₅	—	2	1	no	—
486	C₄×D₅	—	2	1	no	—
487	C₄×D₅	—	6	1	no	—
488	C₄×D₅	—	6	1	no	—
489	Dic₁₀	—	6	2	no	—
490	C₅×C₈	—	2	1	no	—
491	C₅×C₈	—	3	2	no	—
492	C₅×C₈	—	6	1	no	—
493	C₅×C₈	D₃×D₄	1	2	yes	—
494	#168	—	2	1	no	—
495	#168	—	2	1	no	—
496	#168	—	6	1	no	—
497	#168	—	6	1	no	—
498	C₂×#41	—	15	1	no	—
499	C₂³×C₄	—	3	1	no	—
500	#131	—	30	4	no	—
501	C₂×M₁₆	—	5	1	no	—
502	C₂×M₁₆	—	15	1	no	—
503	C₂×M₁₆	—	15	1	no	—
504	C₂×M₁₆	—	15	1	no	—
505	C₂²×C₈	—	3	1	no	—
506	C₂²×C₈	—	3	1	no	—
507	C₂²×C₈	—	3	1	no	—
508	C₂²×C₈	—	3	1	no	—
509	C₂²×C₈	—	3	1	no	—
510	C₂²×C₈	—	6	4	no	—
511	C₂²×C₈	—	15	1	no	—
512	C₂²×C₈	—	15	1	no	—
513	C₂²×C₈	D₃×D₅	1	1	yes	characteristic
514	#123	—	15	1	no	—
515	#123	—	15	1	no	—
516	C₂²⋊Q₈	—	15	1	no	—
517	C₂²⋊Q₈	—	15	1	no	—
518	#121	—	15	1	no	—
519	#121	—	15	1	no	—
520	#120	—	15	1	no	—
521	#120	—	15	1	no	—
522	C₄×D₄	—	5	1	no	—
523	C₄×D₄	—	15	1	no	—
524	C₄×D₄	—	15	1	no	—
525	C₄×D₄	—	15	1	no	—
526	#117	—	15	1	no	—
527	C₄⋊C₈	—	5	1	no	—
528	C₄⋊C₈	—	15	1	no	—
529	C₄⋊C₈	—	15	1	no	—
530	C₄⋊C₈	—	15	1	no	—
531	C₂²⋊C₈	—	5	1	no	—
532	C₂²⋊C₈	—	5	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	—	5	1	no	—
540	#97	—	15	1	no	—
541	C₄×C₈	—	15	1	no	—
542	C₄×C₈	—	15	1	no	—
543	C₂×C₃×C₅	—	2	2	no	—
544	C₂×C₃×C₅	C₂×C₄×D₄	1	1	yes	characteristic
545	C₂×C₃×C₅	C₂×#131	1	1	yes	characteristic
546	C₂×C₃×C₅	C₂×#131	1	1	yes	characteristic
547	D₁₅	—	4	1	no	—
548	C₃×D₅	—	4	1	no	—
549	C₅×D₃	—	2	2	no	—
550	C₅×D₃	—	2	2	no	—
551	C₂³×C₃	—	5	1	no	—
552	C₂³×C₃	C₂×C₄×D₅	1	1	yes	characteristic
553	C₂²×D₃	—	2	2	no	—
554	C₂²×D₃	—	2	2	no	—
555	C₂²×D₃	—	2	2	no	—
556	C₂²×D₃	—	5	1	no	—
557	C₂²×D₃	C₂×C₄×D₅	1	1	yes	characteristic
558	C₂²×D₃	C₂×C₄×D₅	1	1	yes	characteristic
559	C₃×D₄	—	10	2	no	—
560	C₂×C₃×C₄	—	2	1	no	—
561	C₂×C₃×C₄	—	2	1	no	—
562	C₂×C₃×C₄	—	5	1	no	—
563	C₂×C₃×C₄	—	5	1	no	—
564	C₂×C₃×C₄	—	5	1	no	—
565	C₂×C₃×C₄	—	10	1	no	—
566	C₂×C₃×C₄	—	10	1	no	—
567	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
568	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
569	#67	—	10	2	no	—
570	#67	—	10	2	no	—
571	#67	—	10	2	no	—
572	#67	—	10	2	no	—
573	C₂×Dic₃	—	2	2	no	—
574	C₂×Dic₃	—	5	1	no	—
575	C₂×Dic₃	—	5	1	no	—
576	C₂×Dic₃	—	5	1	no	—
577	C₂×Dic₃	C₂×C₄×D₅	1	1	yes	characteristic
578	C₂×Dic₃	C₂×C₄×D₅	1	1	yes	characteristic
579	D₁₂	—	10	2	no	—
580	D₁₂	—	10	2	no	—
581	C₄×D₃	—	2	2	no	—
582	C₄×D₃	—	2	1	no	—
583	C₄×D₃	—	2	1	no	—
584	C₄×D₃	—	2	2	no	—
585	C₄×D₃	—	10	1	no	—
586	C₄×D₃	—	10	1	no	—
587	C₄×D₃	#709	1	2	yes	—
588	C₄×D₃	C₂×C₂²⋊D₅	1	2	yes	—
589	Dic₆	—	10	2	no	—
590	C₃×C₈	—	2	1	no	—
591	C₃×C₈	—	10	1	no	—
592	C₃×C₈	—	10	1	no	—
593	C₃×C₈	C₂×C₂²⋊D₅	1	2	yes	—
594	C₃⋊C₈	—	2	1	no	—
595	C₃⋊C₈	—	10	1	no	—
596	C₃⋊C₈	—	10	1	no	—
597	C₃⋊C₈	C₂×C₂²⋊D₅	1	2	yes	—
598	C₂²×C₅	—	2	1	no	—
599	C₂²×C₅	—	2	1	no	—
600	C₂²×C₅	—	3	2	no	—
601	C₂²×C₅	—	3	2	no	—
602	C₂²×C₅	—	6	8	no	—
603	C₂²×C₅	—	6	1	no	—
604	C₂²×C₅	—	6	1	no	—
605	C₂²×C₅	—	6	1	no	—
606	C₂²×C₅	—	6	1	no	—
607	C₂²×C₅	#907	1	2	yes	complemented
608	C₂²×C₅	C₂²×C₄×D₃	1	1	yes	characteristic
609	C₂×D₅	—	2	1	no	—
610	C₂×D₅	—	2	1	no	—
611	C₂×D₅	—	2	1	no	—
612	C₂×D₅	—	6	1	no	—
613	C₂×D₅	—	6	1	no	—
614	C₂×D₅	—	6	1	no	—
615	C₄×C₅	—	2	1	no	—
616	C₄×C₅	—	3	2	no	—
617	C₄×C₅	—	6	1	no	—
618	C₄×C₅	C₂×D₃×D₄	1	1	yes	characteristic
619	C₄×C₅	D₃×#41	1	1	yes	characteristic
620	Dic₅	—	2	1	no	—
621	Dic₅	—	2	1	no	—
622	Dic₅	—	2	1	no	—
623	Dic₅	—	6	1	no	—
624	Dic₅	—	6	1	no	—
625	Dic₅	—	6	1	no	—
626	C₂⁴	—	3	1	no	—
627	#41	—	30	2	no	—
628	#41	—	30	2	no	—
629	C₂×Q₈	—	15	1	no	—
630	C₂×D₄	—	5	1	no	—
631	C₂×D₄	—	15	1	no	—
632	C₂×D₄	—	15	1	no	—
633	C₂×D₄	—	15	1	no	—
634	C₂×D₄	—	15	1	no	—
635	C₂×D₄	—	15	1	no	—
636	C₂×D₄	—	15	1	no	—
637	C₂²×C₄	—	3	1	no	—
638	C₂²×C₄	—	3	1	no	—
639	C₂²×C₄	—	3	1	no	—
640	C₂²×C₄	—	3	1	no	—
641	C₂²×C₄	—	3	1	no	—
642	C₂²×C₄	—	5	1	no	—
643	C₂²×C₄	—	6	2	no	—
644	C₂²×C₄	—	6	2	no	—
645	C₂²×C₄	—	15	1	no	—
646	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
647	M₁₆	—	10	2	no	—
648	M₁₆	—	30	2	no	—
649	M₁₆	—	30	2	no	—
650	M₁₆	—	30	2	no	—
651	C₂×C₈	—	2	2	no	—
652	C₂×C₈	—	3	1	no	—
653	C₂×C₈	—	3	4	no	—
654	C₂×C₈	—	3	1	no	—
655	C₂×C₈	—	5	1	no	—
656	C₂×C₈	—	5	1	no	—
657	C₂×C₈	—	6	2	no	—
658	C₂×C₈	—	6	2	no	—
659	C₂×C₈	—	6	2	no	—
660	C₂×C₈	—	6	2	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	C₂×D₃×D₅	1	1	yes	characteristic
666	C₂×C₈	C₂×D₃×D₅	1	1	yes	characteristic
667	C₄⋊C₄	—	5	1	no	—
668	C₄⋊C₄	—	15	1	no	—
669	C₄⋊C₄	—	15	1	no	—
670	C₄⋊C₄	—	15	1	no	—
671	C₄⋊C₄	—	15	1	no	—
672	C₄⋊C₄	—	15	1	no	—
673	C₂²⋊C₄	—	5	1	no	—
674	C₂²⋊C₄	—	5	1	no	—
675	C₂²⋊C₄	—	15	1	no	—
676	C₂²⋊C₄	—	15	1	no	—
677	C₂²⋊C₄	—	15	1	no	—
678	C₂²⋊C₄	—	15	1	no	—
679	C₂²⋊C₄	—	15	1	no	—
680	C₂²⋊C₄	—	15	1	no	—
681	C₂²⋊C₄	—	15	1	no	—
682	C₂²⋊C₄	—	15	1	no	—
683	C₄²	—	5	1	no	—
684	C₄²	—	15	1	no	—
685	C₃×C₅	#2929	1	1	yes	characteristic, complemented, Hall
686	C₂²×C₃	—	2	1	no	—
687	C₂²×C₃	—	2	1	no	—
688	C₂²×C₃	—	10	1	no	—
689	C₂²×C₃	—	10	1	no	—
690	C₂²×C₃	—	10	1	no	—
691	C₂²×C₃	#4047	1	2	yes	complemented
692	C₂²×C₃	C₂²×C₄×D₅	1	1	yes	characteristic
693	C₂×D₃	—	2	8	no	—
694	C₂×D₃	—	2	1	no	—
695	C₂×D₃	—	2	1	no	—
696	C₂×D₃	—	2	1	no	—
697	C₂×D₃	—	2	1	no	—
698	C₂×D₃	—	10	1	no	—
699	C₂×D₃	—	10	1	no	—
700	C₂×D₃	—	10	1	no	—
701	C₂×D₃	#4047	1	2	yes	complemented
702	C₂×D₃	C₄×C₂²⋊D₅	1	2	yes	—
703	C₃×C₄	—	2	1	no	—
704	C₃×C₄	—	10	1	no	—
705	C₃×C₄	—	10	1	no	—
706	C₃×C₄	—	10	1	no	—
707	C₃×C₄	C₂×#709	1	1	yes	characteristic
708	C₃×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
709	Dic₃	—	2	1	no	—
710	Dic₃	—	10	1	no	—
711	Dic₃	—	10	1	no	—
712	Dic₃	—	10	1	no	—
713	Dic₃	C₄×C₂²⋊D₅	1	2	yes	—
714	C₂×C₅	—	2	2	no	—
715	C₂×C₅	—	6	2	no	—
716	C₂×C₅	—	6	2	no	—
717	C₂×C₅	C₄×D₃×D₄	1	1	yes	characteristic
718	C₂×C₅	C₂×#907	1	1	yes	characteristic
719	C₂×C₅	D₃×#131	1	1	yes	characteristic
720	D₅	—	4	1	no	—
721	D₅	—	12	1	no	—
722	C₂³	—	3	1	no	—
723	C₂³	—	3	1	no	—
724	C₂³	—	5	1	no	—
725	C₂³	—	6	2	no	—
726	C₂³	—	6	2	no	—
727	C₂³	—	6	2	no	—
728	C₂³	—	15	1	no	—
729	C₂³	C₄×D₃×D₅	1	1	yes	characteristic
730	Q₈	—	30	2	no	—
731	D₄	—	10	2	no	—
732	D₄	—	30	2	no	—
733	D₄	—	30	2	no	—
734	D₄	—	30	2	no	—
735	D₄	—	30	2	no	—
736	D₄	—	30	2	no	—
737	D₄	—	30	2	no	—
738	C₂×C₄	—	2	1	no	—
739	C₂×C₄	—	2	1	no	—
740	C₂×C₄	—	3	1	no	—
741	C₂×C₄	—	3	2	no	—
742	C₂×C₄	—	3	2	no	—
743	C₂×C₄	—	3	1	no	—
744	C₂×C₄	—	5	1	no	—
745	C₂×C₄	—	5	1	no	—
746	C₂×C₄	—	5	1	no	—
747	C₂×C₄	—	6	2	no	—
748	C₂×C₄	—	6	2	no	—
749	C₂×C₄	—	6	2	no	—
750	C₂×C₄	—	6	1	no	—
751	C₂×C₄	—	6	1	no	—
752	C₂×C₄	—	10	1	no	—
753	C₂×C₄	—	10	1	no	—
754	C₂×C₄	—	15	1	no	—
755	C₂×C₄	—	15	1	no	—
756	C₂×C₄	—	15	1	no	—
757	C₂×C₄	—	30	1	no	—
758	C₂×C₄	—	30	1	no	—
759	C₂×C₄	C₄×D₃×D₅	1	1	yes	characteristic
760	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
761	C₈	—	2	1	no	—
762	C₈	—	3	2	no	—
763	C₈	—	6	1	no	—
764	C₈	—	10	1	no	—
765	C₈	—	10	1	no	—
766	C₈	—	30	1	no	—
767	C₈	—	30	1	no	—
768	C₈	D₃×C₂²⋊D₅	1	2	yes	—
769	C₂×C₃	—	2	2	no	—
770	C₂×C₃	—	20	1	no	—
771	C₂×C₃	C₂×#4047	1	1	yes	characteristic
772	C₂×C₃	C₂×#4047	1	1	yes	characteristic
773	C₂×C₃	C₂×C₄×C₂²⋊D₅	1	1	yes	characteristic
774	D₃	—	2	2	no	—
775	D₃	—	2	2	no	—
776	D₃	—	20	1	no	—
777	C₅	#79478	1	1	yes	characteristic, complemented, Sylow
778	C₂²	—	2	1	no	—
779	C₂²	—	2	1	no	—
780	C₂²	—	3	2	no	—
781	C₂²	—	3	2	no	—
782	C₂²	—	6	8	no	—
783	C₂²	—	6	1	no	—
784	C₂²	—	6	1	no	—
785	C₂²	—	6	1	no	—
786	C₂²	—	6	1	no	—
787	C₂²	—	10	1	no	—
788	C₂²	—	10	1	no	—
789	C₂²	—	10	1	no	—
790	C₂²	—	30	1	no	—
791	C₂²	—	30	1	no	—
792	C₂²	—	30	1	no	—
793	C₂²	#91267	1	2	yes	complemented
794	C₂²	C₂×C₄×D₃×D₅	1	1	yes	characteristic
795	C₄	—	2	1	no	—
796	C₄	—	3	2	no	—
797	C₄	—	6	1	no	—
798	C₄	—	10	1	no	—
799	C₄	—	10	1	no	—
800	C₄	—	10	1	no	—
801	C₄	—	30	1	no	—
802	C₄	—	30	1	no	—
803	C₄	—	30	1	no	—
804	C₄	D₃×#709	1	1	yes	characteristic
805	C₄	C₂×D₃×C₂²⋊D₅	1	1	yes	characteristic
806	C₃	#10615465	1	1	yes	characteristic, complemented, Sylow
807	C₂	—	2	2	no	—
808	C₂	—	6	2	no	—
809	C₂	—	6	2	no	—
810	C₂	—	20	1	no	—
811	C₂	—	60	1	no	—
812	C₂	D₃×#4047	1	1	yes	characteristic
813	C₂	C₂×#91267	1	1	yes	characteristic
814	C₂	C₄×D₃×C₂²⋊D₅	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂²×D₃×D₅
commutator, socle	C₂²×C₃×C₅	C₂³×C₄
Fitting	C₂²×C₃×C₅×C₈	C₂²
prime radical	#11754538	C₂
cosocle	C₂×C₃×C₄×C₅	C₂⁴
hypercenter	C₂²×C₈	D₃×D₅
hypocenter	C₃×C₅	#2929
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₈

Complements

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

N	H ≅ G/N	type
1. C₂²×C₅×D₃×C₈	C₂	semidirect
3. C₂×#91267	C₂	semidirect
4. #11751212	C₂	semidirect
5. C₃×#65400	C₂	semidirect
6. #11748505	C₂	semidirect
7. #11748491	C₂	semidirect
8. C₃⋊C₈×C₂²⋊D₅	C₂	semidirect
9. #11748139	C₂	semidirect
10. #11747719	C₂	semidirect
11. #11747711	C₂	semidirect
12. #11747700	C₂	semidirect
13. #11747695	C₂	semidirect
14. #11747665	C₂	semidirect
15. #11747655	C₂	semidirect
21. C₂×#6705	C₂²	semidirect
29. C₂×C₃×#676	C₂²	semidirect
43. C₂×#6648	C₂²	semidirect
44. C₂×D₅×C₃⋊C₈	C₂²	semidirect
47. #91104	C₂²	semidirect
48. #91099	C₂²	semidirect
49. #91098	C₂²	semidirect
51. C₃×#3952	C₂²	semidirect
52. C₃×#3947	C₂²	semidirect
53. C₃×#3946	C₂²	semidirect
54. #90983	C₂²	semidirect
55. #90982	C₂²	semidirect
56. #90957	C₂²	semidirect
59. #90955	C₂²	semidirect
60. #90951	C₂²	semidirect
61. Dic₅×C₃⋊C₈	C₂²	semidirect
70. #65400	D₃	semidirect
115. C₅×D₃×C₈	D₄	semidirect
138. C₂²×D₃×C₈	D₅	semidirect
178. C₂×#676	C₂×D₃	semidirect
188. #3952	C₂×D₃	semidirect
190. #3947	C₂×D₃	semidirect
194. #3946	C₂×D₃	semidirect
366. C₂²×C₃×C₅	#131	semidirect
377. C₂×C₅×D₃	#131	semidirect
450. D₃×C₈	C₂²⋊D₅	semidirect
607. C₂²×C₅	#907	semidirect
685. C₃×C₅	#2929	semidirect
691. C₂²×C₃	#4047	semidirect
701. C₂×D₃	#4047	semidirect
777. C₅	#79478	semidirect
793. C₂²	#91267	semidirect
806. C₃	#10615465	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₅×D₃×C₈	2
#11754538	2
C₂×#91267	2
#11751212	2
C₃×#65400	2
#11748505	2
#11748491	2
C₃⋊C₈×C₂²⋊D₅	2
#11748139	2
#11747719	2
#11747711	2
#11747700	2
#11747695	2
#11747665	2
#11747655	2
#10615465	3
#79478	5