Subgroups — #14415017

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	C₂×#91267	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₃×C₈×D₅	C₂	1	1	yes	maximal, characteristic, complemented
3	#11752739	C₂	1	1	yes	maximal, characteristic
4	#11750807	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#4708	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#64995	C₂	1	1	yes	maximal, characteristic, complemented
7	#11748140	C₂	1	1	yes	maximal, characteristic, complemented
8	#11748102	C₂	1	1	yes	maximal, characteristic, complemented
9	#11748042	C₂	1	1	yes	maximal, characteristic, complemented
10	#11748042	C₂	1	1	yes	maximal, characteristic, complemented
11	#11747725	C₂	1	1	yes	maximal, characteristic, complemented
12	#11747705	C₂	1	1	yes	maximal, characteristic, complemented
13	#11746994	C₂	1	1	yes	maximal, characteristic, complemented
14	#11746993	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃⋊C₈×D₂₀	C₂	1	1	yes	maximal, characteristic, complemented
16	#10610284	—	3	1	no	maximal, Hall
17	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
18	C₂×#6771	C₂²	1	1	yes	characteristic
19	C₂×#6705	C₂²	1	1	yes	characteristic, complemented
20	C₂×C₈×D₁₅	C₂²	1	1	yes	characteristic
21	C₄×D₆₀	C₂²	1	1	yes	characteristic
22	C₂×C₅×ΓL(1,𝔽₂₅)	C₂²	1	1	yes	characteristic
23	C₂×C₅×D₃×C₈	C₂²	1	1	yes	characteristic
24	C₅×#872	C₂²	1	1	yes	characteristic
25	C₂×C₃×#676	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₃×C₈×D₅	C₂²	1	1	yes	characteristic
27	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
28	#91476	C₄	1	1	yes	characteristic
29	#91474	C₄	1	1	yes	characteristic
30	#91459	C₄	1	1	yes	characteristic
31	#91457	C₄	1	1	yes	characteristic
32	C₄×#1202	C₂²	1	1	yes	characteristic
33	C₄×#1202	C₂²	1	1	yes	characteristic
34	#91429	C₄	1	1	yes	characteristic
35	#91427	C₄	1	1	yes	characteristic
36	#91422	C₄	1	1	yes	characteristic
37	#91409	C₄	1	1	yes	characteristic
38	C₂×#6650	C₂²	1	1	yes	characteristic
39	C₂×#6648	C₂²	1	1	yes	characteristic
40	C₂×#6648	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₃×#168	C₂²	1	1	yes	characteristic
42	C₂×D₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
43	C₂×D₅×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
44	#91267	—	2	4	no	—
45	D₃×C₈×D₅	—	2	4	no	—
46	C₃×C₅×#97	C₂²	1	1	yes	characteristic, complemented
47	#91104	C₂²	1	1	yes	characteristic
48	#91104	C₂²	1	1	yes	characteristic, complemented
49	C₄⋊(C₃⋊#168)	C₂²	1	1	yes	characteristic, complemented
50	C₅×#815	C₂²	1	1	yes	characteristic, complemented
51	C₅×C₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
52	C₄×C₅×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
53	C₃×#3952	C₂²	1	1	yes	characteristic
54	C₃×#3952	C₂²	1	1	yes	characteristic, complemented
55	C₃×C₄⋊#168	C₂²	1	1	yes	characteristic, complemented
56	Dic₃⋊#168	C₂²	1	1	yes	characteristic, complemented
57	Dic₃⋊#168	C₂²	1	1	yes	characteristic, complemented
58	#90957	C₂²	1	1	yes	characteristic
59	#90957	C₂²	1	1	yes	characteristic, complemented
60	#90955	C₂²	1	1	yes	characteristic
61	#90955	C₂²	1	1	yes	characteristic, complemented
62	#79478	—	5	1	no	maximal, Hall
63	C₂×#4047	—	3	1	no	—
64	C₂²×C₈×D₅	—	3	1	no	—
65	#65858	—	3	1	no	—
66	C₅×#405	—	3	1	no	—
67	#65418	—	3	1	no	—
68	#65415	—	3	1	no	—
69	#65288	—	3	1	no	—
70	#64995	—	3	1	no	—
71	#64995	—	3	1	no	—
72	#64995	—	3	1	no	—
73	#64995	D₃	1	1	yes	characteristic, complemented
74	C₈×D₂₀	—	3	1	no	—
75	C₈×D₂₀	—	3	1	no	—
76	C₈×D₂₀	—	3	1	no	—
77	C₈×D₂₀	—	3	1	no	—
78	C₂²×D₃×D₅	C₂×C₄	1	1	yes	characteristic
79	C₂×D₆₀	C₂×C₄	1	1	yes	characteristic
80	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
81	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
82	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
83	C₂×C₃×D₂₀	C₂×C₄	1	1	yes	characteristic
84	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
85	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
86	C₂×#1204	C₂×C₄	1	1	yes	characteristic
87	C₂×#1203	C₂×C₄	1	1	yes	characteristic
88	C₂×#1202	C₂×C₄	1	1	yes	characteristic
89	C₂×#1202	C₂×C₄	1	1	yes	characteristic
90	C₂×#1202	C₂×C₄	1	1	yes	characteristic
91	C₂×#1201	C₂×C₄	1	1	yes	characteristic
92	C₂×#1200	C₂×C₄	1	1	yes	characteristic
93	C₂×D₃×Dic₅	C₂×C₄	1	1	yes	characteristic
94	C₂×D₅×Dic₃	C₂×C₄	1	1	yes	characteristic
95	C₄×D₃×D₅	—	2	2	no	—
96	C₄×D₃×D₅	—	2	2	no	—
97	#6771	—	2	2	no	—
98	#6771	—	2	2	no	—
99	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
100	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
101	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
102	#6714	C₂×C₄	1	1	yes	characteristic
103	#6714	C₂×C₄	1	1	yes	characteristic
104	C₄⋊Dic₁₅	C₂×C₄	1	1	yes	characteristic
105	C₂×C₃⋊#168	C₂³	1	1	yes	characteristic
106	C₂×C₃⋊#168	C₂³	1	1	yes	characteristic
107	#6705	—	2	2	no	—
108	C₈×D₁₅	—	2	2	no	—
109	C₅×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
110	C₅×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
111	C₅×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
112	C₅×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
113	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
114	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
115	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
116	C₅×ΓL(1,𝔽₂₅)	—	2	2	no	—
117	C₅×D₃×C₈	D₄	1	4	yes	complemented
118	C₃×#685	C₂×C₄	1	1	yes	characteristic
119	C₃×#685	C₂×C₄	1	1	yes	characteristic
120	C₃×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
121	C₂×C₃×#168	C₂³	1	1	yes	characteristic
122	C₂×C₃×#168	C₂³	1	1	yes	characteristic
123	C₃×#676	—	2	2	no	—
124	C₃×C₈×D₅	—	2	2	no	—
125	Dic₃⋊Dic₅	C₂×C₄	1	1	yes	characteristic
126	Dic₃⋊Dic₅	C₂×C₄	1	1	yes	characteristic
127	#6667	C₂×C₄	1	1	yes	characteristic
128	#6667	C₂×C₄	1	1	yes	characteristic
129	#6665	C₂×C₄	1	1	yes	characteristic
130	#6665	C₂×C₄	1	1	yes	characteristic
131	#6650	—	2	2	no	—
132	#6648	—	2	2	no	—
133	#6648	—	2	2	no	—
134	D₃×#168	—	2	2	no	—
135	D₅×C₃⋊C₈	—	2	2	no	—
136	D₅×C₃⋊C₈	—	2	2	no	—
137	C₂×#907	—	5	1	no	—
138	C₂²×D₃×C₈	—	5	1	no	—
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	D₅	1	1	yes	characteristic, complemented
151	#4706	—	5	1	no	—
152	C₂×#709	—	3	1	no	—
153	C₂²×C₄×D₅	—	3	1	no	—
154	C₂×C₅×M₁₆	—	3	1	no	—
155	C₂²×C₅×C₈	—	3	1	no	—
156	C₅×#117	—	3	1	no	—
157	C₂×#681	—	3	1	no	—
158	C₂²×#168	—	3	1	no	—
159	#4047	—	6	4	no	—
160	C₂×#676	—	3	1	no	—
161	C₂×#676	C₂×D₃	1	1	yes	characteristic, complemented
162	C₂×C₈×D₅	—	3	1	no	—
163	C₂×C₈×D₅	—	3	1	no	—
164	C₂×C₈×D₅	—	3	1	no	—
165	C₂×C₈×D₅	—	3	1	no	—
166	C₂×C₈×D₅	—	3	1	no	—
167	C₂×C₈×D₅	—	6	4	no	—
168	C₂×C₈×D₅	C₂×D₃	1	1	yes	characteristic
169	#4043	—	3	1	no	—
170	#4043	—	3	1	no	—
171	#4041	—	3	1	no	—
172	#4041	—	3	1	no	—
173	#4032	—	3	1	no	—
174	#4032	—	3	1	no	—
175	#4028	—	3	1	no	—
176	#4028	—	3	1	no	—
177	C₄×D₂₀	—	3	1	no	—
178	C₄×D₂₀	—	3	1	no	—
179	C₄×D₂₀	—	3	1	no	—
180	C₄×D₂₀	C₂×D₃	1	1	yes	characteristic
181	C₅×#97	—	3	1	no	—
182	C₅×#97	C₂×D₃	1	1	yes	characteristic, complemented
183	C₄×C₅×C₈	—	3	1	no	—
184	C₄×C₅×C₈	—	3	1	no	—
185	#3952	—	3	1	no	—
186	#3952	—	3	1	no	—
187	#3952	—	3	1	no	—
188	#3952	—	3	1	no	—
189	#3952	—	3	1	no	—
190	#3952	—	3	1	no	—
191	#3952	C₂×D₃	1	1	yes	characteristic
192	#3952	C₂×D₃	1	1	yes	characteristic, complemented
193	C₄⋊#168	—	3	1	no	—
194	C₄⋊#168	—	3	1	no	—
195	C₄⋊#168	—	3	1	no	—
196	C₄⋊#168	C₂×D₃	1	1	yes	characteristic, complemented
197	#2929	—	15	1	no	Sylow
198	C₂²×D₁₅	C₂²×C₄	1	1	yes	characteristic
199	C₂²×D₁₅	C₂²×C₄	1	1	yes	characteristic
200	C₂²×C₅×D₃	C₂²×C₄	1	1	yes	characteristic
201	C₂²×C₃×D₅	C₂²×C₄	1	1	yes	characteristic
202	C₂²×C₃×D₅	C₂²×C₄	1	1	yes	characteristic
203	C₂×D₃×D₅	—	2	2	no	—
204	C₂×D₃×D₅	—	2	2	no	—
205	C₂×D₃×D₅	—	2	2	no	—
206	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
207	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
208	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
209	C₂×Dic₁₅	C₂²×C₄	1	1	yes	characteristic
210	C₂×Dic₁₅	C₂²×C₄	1	1	yes	characteristic
211	D₆₀	—	2	2	no	—
212	C₄×D₁₅	—	2	1	no	—
213	C₄×D₁₅	—	2	1	no	—
214	C₄×D₁₅	—	2	1	no	—
215	C₄×D₁₅	—	2	1	no	—
216	C₂×C₅×Dic₃	C₂²×C₄	1	1	yes	characteristic
217	C₂×C₅×Dic₃	C₂²×C₄	1	1	yes	characteristic
218	C₂×C₅×Dic₃	C₂²×C₄	1	1	yes	characteristic
219	C₄×C₅×D₃	C₂×D₄	1	2	yes	—
220	C₄×C₅×D₃	#41	1	2	yes	—
221	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
222	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
223	C₃×D₂₀	—	2	2	no	—
224	C₃×C₄×D₅	—	2	1	no	—
225	C₃×C₄×D₅	—	2	1	no	—
226	C₃×C₄×D₅	—	2	1	no	—
227	C₃×C₄×D₅	—	2	1	no	—
228	#1204	—	2	2	no	—
229	#1203	—	2	2	no	—
230	#1202	—	2	2	no	—
231	#1202	—	2	2	no	—
232	#1202	—	2	2	no	—
233	#1201	—	2	2	no	—
234	#1200	—	2	2	no	—
235	D₃×Dic₅	—	2	2	no	—
236	D₅×Dic₃	—	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	—	5	1	no	—
247	C₂×C₃×M₁₆	—	5	1	no	—
248	C₂²×C₃×C₈	—	5	1	no	—
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	—	5	1	no	—
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)	C₂×D₅	1	1	yes	characteristic
260	C₂×D₃×C₈	—	5	1	no	—
261	C₂×D₃×C₈	—	5	1	no	—
262	C₂×D₃×C₈	—	5	1	no	—
263	C₂×D₃×C₈	—	5	1	no	—
264	C₂×D₃×C₈	—	10	4	no	—
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	C₂×D₅	1	1	yes	characteristic
274	C₃×C₄⋊C₈	—	5	1	no	—
275	C₃×C₂²⋊C₈	—	5	1	no	—
276	C₃×C₂²⋊C₈	—	5	1	no	—
277	C₃×#97	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
285	Dic₃⋊C₈	—	5	1	no	—
286	Dic₃⋊C₈	—	5	1	no	—
287	C₈×Dic₃	C₂×D₅	1	1	yes	characteristic, complemented
288	C₄⋊(C₃⋊C₈)	—	5	1	no	—
289	C₄×C₃⋊C₈	C₂×D₅	1	1	yes	characteristic, complemented
290	C₂³×D₅	—	3	1	no	—
291	C₂²×C₄×C₅	—	3	1	no	—
292	C₂×C₂²⋊D₅	—	3	1	no	—
293	C₂×C₂²⋊D₅	—	3	1	no	—
294	C₂²×Dic₅	—	3	1	no	—
295	#709	—	6	2	no	—
296	#709	—	6	2	no	—
297	C₂×D₂₀	—	3	1	no	—
298	C₂×D₂₀	—	3	1	no	—
299	C₂×D₂₀	—	3	1	no	—
300	C₂×D₂₀	—	3	1	no	—
301	C₂×D₂₀	C₄×D₃	1	1	yes	characteristic
302	C₂×C₄×D₅	—	3	1	no	—
303	C₂×C₄×D₅	—	3	1	no	—
304	C₂×C₄×D₅	—	3	1	no	—
305	C₂×C₄×D₅	—	3	1	no	—
306	C₂×C₄×D₅	—	6	2	no	—
307	C₂×C₄×D₅	—	6	2	no	—
308	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
309	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
310	C₂×Dic₁₀	—	3	1	no	—
311	C₅×M₁₆	—	6	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	C₂²×D₃	1	1	yes	characteristic
316	C₂×C₅×C₈	C₂²×D₃	1	1	yes	characteristic
317	C₅×C₄⋊C₄	—	3	1	no	—
318	C₅×C₄⋊C₄	—	3	1	no	—
319	C₅×C₂²⋊C₄	—	3	1	no	—
320	C₅×C₂²⋊C₄	—	3	1	no	—
321	C₄²×C₅	—	3	1	no	—
322	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
323	#685	—	3	1	no	—
324	#685	—	3	1	no	—
325	#685	—	3	1	no	—
326	#685	—	3	1	no	—
327	#685	—	3	1	no	—
328	#685	—	3	1	no	—
329	#685	C₄×D₃	1	1	yes	characteristic
330	#685	C₄×D₃	1	1	yes	characteristic
331	C₄⋊Dic₅	—	3	1	no	—
332	C₄⋊Dic₅	—	3	1	no	—
333	C₄⋊Dic₅	—	3	1	no	—
334	C₄⋊Dic₅	C₄×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	—	6	2	no	—
339	C₂×#168	C₂²×D₃	1	1	yes	characteristic
340	C₂×#168	C₂²×D₃	1	1	yes	characteristic
341	#676	—	2	2	no	—
342	#676	—	6	2	no	—
343	C₈×D₅	—	2	2	no	—
344	C₈×D₅	—	6	2	no	—
345	C₈×D₅	—	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	C₂³×C₈	—	15	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	—	3	1	no	—
364	C₂²×C₃×C₅	C₂³×C₄	1	1	yes	characteristic
365	C₂×D₁₅	—	2	1	no	—
366	C₂×D₁₅	—	2	1	no	—
367	C₂×D₁₅	—	2	1	no	—
368	C₂×D₁₅	—	2	1	no	—
369	C₂×D₁₅	—	2	1	no	—
370	C₂×D₁₅	#131	1	2	yes	complemented
371	C₂×C₅×D₃	—	2	1	no	—
372	C₂×C₅×D₃	—	2	1	no	—
373	C₂×C₅×D₃	C₄×D₄	1	2	yes	—
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	#131	1	2	yes	complemented
380	D₃×D₅	—	2	8	no	—
381	C₃×C₄×C₅	—	2	1	no	—
382	C₃×C₄×C₅	—	2	1	no	—
383	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
384	C₃×C₄×C₅	C₂×#41	1	1	yes	characteristic
385	Dic₁₅	—	2	1	no	—
386	Dic₁₅	—	2	1	no	—
387	C₃×Dic₅	—	2	1	no	—
388	C₃×Dic₅	—	2	1	no	—
389	C₅×Dic₃	—	2	1	no	—
390	C₅×Dic₃	—	2	1	no	—
391	C₅×Dic₃	C₄×D₄	1	2	yes	—
392	C₂³×D₃	—	5	1	no	—
393	C₂×C₃×D₄	—	5	1	no	—
394	C₂²×C₃×C₄	—	5	1	no	—
395	C₂²×C₃×C₄	—	5	1	no	—
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	—	5	1	no	—
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	—	5	1	no	—
406	C₂×C₄×D₃	—	5	1	no	—
407	C₂×C₄×D₃	—	5	1	no	—
408	C₂×C₄×D₃	—	5	1	no	—
409	C₂×C₄×D₃	—	10	2	no	—
410	C₂×C₄×D₃	—	10	2	no	—
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	—	5	1	no	—
415	C₂×C₃×C₈	—	5	1	no	—
416	C₂×C₃×C₈	—	10	2	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	C₂²×D₅	1	1	yes	characteristic
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	C₄×D₅	1	1	yes	characteristic
430	(C₂×D₃)⋊C₄	C₄×D₅	1	1	yes	characteristic
431	C₄⋊Dic₃	—	5	1	no	—
432	Dic₃⋊C₄	—	5	1	no	—
433	Dic₃⋊C₄	—	5	1	no	—
434	Dic₃⋊C₄	C₄×D₅	1	1	yes	characteristic
435	Dic₃⋊C₄	C₄×D₅	1	1	yes	characteristic
436	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
437	C₂×C₃⋊C₈	—	5	1	no	—
438	C₂×C₃⋊C₈	—	5	1	no	—
439	C₂×C₃⋊C₈	—	10	2	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)	—	2	2	no	—
444	ΓL(1,𝔽₂₅)	—	10	2	no	—
445	ΓL(1,𝔽₂₅)	—	10	2	no	—
446	D₃×C₈	—	10	2	no	—
447	D₃×C₈	—	10	2	no	—
448	D₃×C₈	—	10	2	no	—
449	D₃×C₈	—	10	2	no	—
450	D₃×C₈	D₂₀	1	4	yes	complemented
451	C₂³×C₅	—	3	1	no	—
452	C₂²×D₅	—	3	1	no	—
453	C₂²×D₅	—	3	1	no	—
454	C₂²×D₅	—	6	2	no	—
455	C₂²×D₅	—	6	2	no	—
456	C₂²×D₅	—	6	2	no	—
457	C₂²×D₅	C₂×C₄×D₃	1	1	yes	characteristic
458	C₂²×D₅	C₂×C₄×D₃	1	1	yes	characteristic
459	C₂×C₄×C₅	—	3	1	no	—
460	C₂×C₄×C₅	—	3	2	no	—
461	C₂×C₄×C₅	—	3	2	no	—
462	C₂×C₄×C₅	—	3	1	no	—
463	C₂×C₄×C₅	—	3	1	no	—
464	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
465	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
466	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
467	C₂²⋊D₅	—	6	2	no	—
468	C₂²⋊D₅	—	6	2	no	—
469	C₂×Dic₅	—	3	1	no	—
470	C₂×Dic₅	—	3	1	no	—
471	C₂×Dic₅	—	6	2	no	—
472	C₂×Dic₅	C₂×C₄×D₃	1	1	yes	characteristic
473	C₂×Dic₅	C₂×C₄×D₃	1	1	yes	characteristic
474	D₂₀	—	2	2	no	—
475	D₂₀	—	6	2	no	—
476	D₂₀	—	6	2	no	—
477	D₂₀	—	6	2	no	—
478	D₂₀	—	6	2	no	—
479	C₄×D₅	—	2	1	no	—
480	C₄×D₅	—	2	1	no	—
481	C₄×D₅	—	2	1	no	—
482	C₄×D₅	—	2	1	no	—
483	C₄×D₅	—	6	2	no	—
484	C₄×D₅	—	6	2	no	—
485	C₄×D₅	—	6	1	no	—
486	C₄×D₅	—	6	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	—	15	1	no	—
500	#131	—	30	4	no	—
501	C₂×M₁₆	—	3	1	no	—
502	C₂×M₁₆	—	5	1	no	—
503	C₂×M₁₆	—	15	1	no	—
504	C₂×M₁₆	—	15	1	no	—
505	C₂²×C₈	—	3	1	no	—
506	C₂²×C₈	—	5	1	no	—
507	C₂²×C₈	—	15	1	no	—
508	C₂²×C₈	—	15	1	no	—
509	C₂²×C₈	—	15	1	no	—
510	C₂²×C₈	—	15	1	no	—
511	C₂²×C₈	—	15	1	no	—
512	C₂²×C₈	—	15	1	no	—
513	C₂²×C₈	—	30	4	no	—
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	—	3	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	—	3	1	no	—
540	#97	D₃×D₅	1	1	yes	characteristic, complemented
541	C₄×C₈	—	3	1	no	—
542	C₄×C₈	—	3	1	no	—
543	C₂×C₃×C₅	C₂×C₄×D₄	1	1	yes	characteristic
544	C₂×C₃×C₅	C₂×#131	1	1	yes	characteristic
545	C₂×C₃×C₅	C₂×#131	1	1	yes	characteristic
546	D₁₅	—	2	2	no	—
547	D₁₅	—	4	1	no	—
548	C₃×D₅	—	2	2	no	—
549	C₃×D₅	—	4	1	no	—
550	C₅×D₃	—	2	2	no	—
551	C₂³×C₃	—	5	1	no	—
552	C₂³×C₃	—	5	1	no	—
553	C₂²×D₃	—	5	1	no	—
554	C₂²×D₃	—	5	1	no	—
555	C₂²×D₃	—	10	2	no	—
556	C₂²×D₃	—	10	2	no	—
557	C₂²×D₃	—	10	2	no	—
558	C₂²×D₃	C₂×C₄×D₅	1	1	yes	characteristic
559	C₃×D₄	—	10	2	no	—
560	C₂×C₃×C₄	—	5	1	no	—
561	C₂×C₃×C₄	—	5	1	no	—
562	C₂×C₃×C₄	—	10	1	no	—
563	C₂×C₃×C₄	—	10	1	no	—
564	C₂×C₃×C₄	—	10	1	no	—
565	C₂×C₃×C₄	—	10	1	no	—
566	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
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	—	5	1	no	—
574	C₂×Dic₃	—	5	1	no	—
575	C₂×Dic₃	—	10	2	no	—
576	C₂×Dic₃	C₂×C₄×D₅	1	1	yes	characteristic
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	—	10	2	no	—
582	C₄×D₃	—	10	1	no	—
583	C₄×D₃	—	10	1	no	—
584	C₄×D₃	—	10	1	no	—
585	C₄×D₃	—	10	1	no	—
586	C₄×D₃	—	10	2	no	—
587	C₄×D₃	C₂×D₂₀	1	2	yes	—
588	C₄×D₃	#709	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×D₂₀	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×D₂₀	1	2	yes	—
598	C₂²×C₅	—	3	2	no	—
599	C₂²×C₅	—	6	1	no	—
600	C₂²×C₅	—	6	1	no	—
601	C₂²×C₅	C₂²×C₄×D₃	1	1	yes	characteristic
602	C₂×D₅	—	2	1	no	—
603	C₂×D₅	—	2	1	no	—
604	C₂×D₅	—	2	1	no	—
605	C₂×D₅	—	2	1	no	—
606	C₂×D₅	—	2	1	no	—
607	C₂×D₅	—	3	2	no	—
608	C₂×D₅	—	6	8	no	—
609	C₂×D₅	—	6	1	no	—
610	C₂×D₅	—	6	1	no	—
611	C₂×D₅	—	6	1	no	—
612	C₂×D₅	—	6	1	no	—
613	C₂×D₅	—	6	1	no	—
614	C₂×D₅	#907	1	2	yes	complemented
615	C₄×C₅	—	2	1	no	—
616	C₄×C₅	—	2	1	no	—
617	C₄×C₅	—	3	2	no	—
618	C₄×C₅	—	6	1	no	—
619	C₄×C₅	—	6	1	no	—
620	C₄×C₅	C₂×D₃×D₄	1	1	yes	characteristic
621	C₄×C₅	D₃×#41	1	1	yes	characteristic
622	Dic₅	—	2	1	no	—
623	Dic₅	—	2	1	no	—
624	Dic₅	—	6	1	no	—
625	Dic₅	—	6	1	no	—
626	C₂⁴	—	15	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	—	5	1	no	—
639	C₂²×C₄	—	5	1	no	—
640	C₂²×C₄	—	15	1	no	—
641	C₂²×C₄	—	15	1	no	—
642	C₂²×C₄	—	15	1	no	—
643	C₂²×C₄	—	15	1	no	—
644	C₂²×C₄	—	15	1	no	—
645	C₂²×C₄	—	30	2	no	—
646	C₂²×C₄	—	30	2	no	—
647	M₁₆	—	6	2	no	—
648	M₁₆	—	10	2	no	—
649	M₁₆	—	30	2	no	—
650	M₁₆	—	30	2	no	—
651	C₂×C₈	—	3	1	no	—
652	C₂×C₈	—	3	4	no	—
653	C₂×C₈	—	3	1	no	—
654	C₂×C₈	—	5	1	no	—
655	C₂×C₈	—	5	1	no	—
656	C₂×C₈	—	10	2	no	—
657	C₂×C₈	—	15	1	no	—
658	C₂×C₈	—	15	1	no	—
659	C₂×C₈	—	30	2	no	—
660	C₂×C₈	—	30	2	no	—
661	C₂×C₈	—	30	2	no	—
662	C₂×C₈	—	30	2	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	—	3	1	no	—
668	C₄⋊C₄	—	3	1	no	—
669	C₄⋊C₄	—	5	1	no	—
670	C₄⋊C₄	—	15	1	no	—
671	C₄⋊C₄	—	15	1	no	—
672	C₄⋊C₄	—	15	1	no	—
673	C₂²⋊C₄	—	3	1	no	—
674	C₂²⋊C₄	—	3	1	no	—
675	C₂²⋊C₄	—	5	1	no	—
676	C₂²⋊C₄	—	5	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	—	3	1	no	—
684	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
685	C₃×C₅	#2929	1	1	yes	characteristic, complemented, Hall
686	C₂²×C₃	—	5	2	no	—
687	C₂²×C₃	—	10	1	no	—
688	C₂²×C₃	—	10	1	no	—
689	C₂²×C₃	—	10	1	no	—
690	C₂²×C₃	—	10	1	no	—
691	C₂²×C₃	—	10	1	no	—
692	C₂²×C₃	C₂²×C₄×D₅	1	1	yes	characteristic
693	C₂×D₃	—	2	1	no	—
694	C₂×D₃	—	2	1	no	—
695	C₂×D₃	—	5	2	no	—
696	C₂×D₃	—	10	8	no	—
697	C₂×D₃	—	10	1	no	—
698	C₂×D₃	—	10	1	no	—
699	C₂×D₃	—	10	1	no	—
700	C₂×D₃	—	10	1	no	—
701	C₂×D₃	—	10	1	no	—
702	C₂×D₃	C₄×D₂₀	1	2	yes	—
703	C₃×C₄	—	2	1	no	—
704	C₃×C₄	—	2	1	no	—
705	C₃×C₄	—	10	1	no	—
706	C₃×C₄	—	10	1	no	—
707	C₃×C₄	C₂²×D₂₀	1	1	yes	characteristic
708	C₃×C₄	C₂×#709	1	1	yes	characteristic
709	Dic₃	—	2	1	no	—
710	Dic₃	—	2	1	no	—
711	Dic₃	—	10	1	no	—
712	Dic₃	—	10	1	no	—
713	Dic₃	C₄×D₂₀	1	2	yes	—
714	C₂×C₅	—	6	2	no	—
715	C₂×C₅	C₄×D₃×D₄	1	1	yes	characteristic
716	C₂×C₅	C₂×#907	1	1	yes	characteristic
717	C₂×C₅	D₃×#131	1	1	yes	characteristic
718	D₅	—	2	2	no	—
719	D₅	—	4	1	no	—
720	D₅	—	6	2	no	—
721	D₅	—	12	1	no	—
722	C₂³	—	3	1	no	—
723	C₂³	—	5	1	no	—
724	C₂³	—	5	1	no	—
725	C₂³	—	15	1	no	—
726	C₂³	—	15	1	no	—
727	C₂³	—	30	2	no	—
728	C₂³	—	30	2	no	—
729	C₂³	—	30	2	no	—
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	—	3	1	no	—
739	C₂×C₄	—	3	2	no	—
740	C₂×C₄	—	3	2	no	—
741	C₂×C₄	—	3	1	no	—
742	C₂×C₄	—	3	1	no	—
743	C₂×C₄	—	5	1	no	—
744	C₂×C₄	—	5	1	no	—
745	C₂×C₄	—	10	1	no	—
746	C₂×C₄	—	10	1	no	—
747	C₂×C₄	—	10	1	no	—
748	C₂×C₄	—	10	1	no	—
749	C₂×C₄	—	15	1	no	—
750	C₂×C₄	—	15	1	no	—
751	C₂×C₄	—	30	2	no	—
752	C₂×C₄	—	30	2	no	—
753	C₂×C₄	—	30	2	no	—
754	C₂×C₄	—	30	1	no	—
755	C₂×C₄	—	30	1	no	—
756	C₂×C₄	—	30	1	no	—
757	C₂×C₄	—	30	1	no	—
758	C₂×C₄	C₄×D₃×D₅	1	1	yes	characteristic
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×D₂₀	1	2	yes	—
769	C₂×C₃	—	10	2	no	—
770	C₂×C₃	—	20	1	no	—
771	C₂×C₃	C₂×C₄×D₂₀	1	1	yes	characteristic
772	C₂×C₃	D₅×#131	1	1	yes	characteristic
773	C₂×C₃	D₅×#131	1	1	yes	characteristic
774	D₃	—	2	2	no	—
775	D₃	—	10	2	no	—
776	D₃	—	20	1	no	—
777	C₅	#79478	1	1	yes	characteristic, complemented, Sylow
778	C₂²	—	3	2	no	—
779	C₂²	—	5	2	no	—
780	C₂²	—	6	1	no	—
781	C₂²	—	6	1	no	—
782	C₂²	—	10	1	no	—
783	C₂²	—	10	1	no	—
784	C₂²	—	10	1	no	—
785	C₂²	—	10	1	no	—
786	C₂²	—	10	1	no	—
787	C₂²	—	15	2	no	—
788	C₂²	—	30	8	no	—
789	C₂²	—	30	1	no	—
790	C₂²	—	30	1	no	—
791	C₂²	—	30	1	no	—
792	C₂²	—	30	1	no	—
793	C₂²	—	30	1	no	—
794	C₂²	C₂×C₄×D₃×D₅	1	1	yes	characteristic
795	C₄	—	2	1	no	—
796	C₄	—	2	1	no	—
797	C₄	—	3	2	no	—
798	C₄	—	6	1	no	—
799	C₄	—	6	1	no	—
800	C₄	—	10	1	no	—
801	C₄	—	10	1	no	—
802	C₄	—	30	1	no	—
803	C₄	—	30	1	no	—
804	C₄	C₂×D₃×D₂₀	1	1	yes	characteristic
805	C₄	D₃×#709	1	1	yes	characteristic
806	C₃	#10610284	1	1	yes	characteristic, complemented, Sylow
807	C₂	—	6	2	no	—
808	C₂	—	10	2	no	—
809	C₂	—	20	1	no	—
810	C₂	—	30	2	no	—
811	C₂	—	60	1	no	—
812	C₂	C₄×D₃×D₂₀	1	1	yes	characteristic
813	C₂	D₅×#907	1	1	yes	characteristic
814	C₂	#11754017	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂²×D₃×D₅
commutator, socle	C₂²×C₃×C₅	C₂³×C₄
Fitting	C₃×C₅×#97	C₂²
prime radical	#11752739	C₂
cosocle	C₂×C₃×C₄×C₅	C₂⁴
hypercenter	#97	D₃×D₅
hypocenter	C₃×C₅	#2929
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₄ ◁ #97

Complements

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

N	H ≅ G/N	type
1. C₂×#91267	C₂	semidirect
2. C₂×D₃×C₈×D₅	C₂	semidirect
4. #11750807	C₂	semidirect
5. C₅×#4708	C₂	semidirect
6. C₃×#64995	C₂	semidirect
7. #11748140	C₂	semidirect
8. #11748102	C₂	semidirect
9. #11748042	C₂	semidirect
10. #11748042	C₂	semidirect
11. #11747725	C₂	semidirect
12. #11747705	C₂	semidirect
13. #11746994	C₂	semidirect
14. #11746993	C₂	semidirect
15. C₃⋊C₈×D₂₀	C₂	semidirect
19. C₂×#6705	C₂²	semidirect
25. C₂×C₃×#676	C₂²	semidirect
40. C₂×#6648	C₂²	semidirect
43. C₂×D₅×C₃⋊C₈	C₂²	semidirect
46. C₃×C₅×#97	C₂²	semidirect
48. #91104	C₂²	semidirect
49. C₄⋊(C₃⋊#168)	C₂²	semidirect
50. C₅×#815	C₂²	semidirect
51. C₅×C₈×Dic₃	C₂²	semidirect
52. C₄×C₅×C₃⋊C₈	C₂²	semidirect
54. C₃×#3952	C₂²	semidirect
55. C₃×C₄⋊#168	C₂²	semidirect
56. Dic₃⋊#168	C₂²	semidirect
57. Dic₃⋊#168	C₂²	semidirect
59. #90957	C₂²	semidirect
61. #90955	C₂²	semidirect
73. #64995	D₃	semidirect
117. C₅×D₃×C₈	D₄	semidirect
150. #4708	D₅	semidirect
161. C₂×#676	C₂×D₃	semidirect
182. C₅×#97	C₂×D₃	semidirect
192. #3952	C₂×D₃	semidirect
196. C₄⋊#168	C₂×D₃	semidirect
277. C₃×#97	C₂×D₅	semidirect
284. #815	C₂×D₅	semidirect
287. C₈×Dic₃	C₂×D₅	semidirect
289. C₄×C₃⋊C₈	C₂×D₅	semidirect
370. C₂×D₁₅	#131	semidirect
379. C₂×C₃×D₅	#131	semidirect
450. D₃×C₈	D₂₀	semidirect
540. #97	D₃×D₅	semidirect
614. C₂×D₅	#907	semidirect
685. C₃×C₅	#2929	semidirect
777. C₅	#79478	semidirect
806. C₃	#10610284	semidirect

Maximal subgroups

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

subgroup	index
C₂×#91267	2
C₂×D₃×C₈×D₅	2
#11752739	2
#11750807	2
C₅×#4708	2
C₃×#64995	2
#11748140	2
#11748102	2
#11748042	2
#11747725	2
#11747705	2
#11746994	2
#11746993	2
C₃⋊C₈×D₂₀	2
#10610284	3
#79478	5