Subgroups — #14418044

Order 1920.

912 conjugacy classes of subgroups.

The subgroup lattice has 904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×D₃×#131	C₂	1	1	yes	maximal, characteristic, complemented
2	#11755322	C₂	1	1	yes	maximal, characteristic
3	D₃×#4047	C₂	1	1	yes	maximal, characteristic, complemented
4	#11751245	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#65433	C₂	1	1	yes	maximal, characteristic, complemented
6	#11749439	C₂	1	1	yes	maximal, characteristic, complemented
7	#11749437	C₂	1	1	yes	maximal, characteristic, complemented
8	#11749429	C₂	1	1	yes	maximal, characteristic, complemented
9	#11748233	C₂	1	1	yes	maximal, characteristic, complemented
10	#11748209	C₂	1	1	yes	maximal, characteristic, complemented
11	#11748205	C₂	1	1	yes	maximal, characteristic, complemented
12	#11748172	C₂	1	1	yes	maximal, characteristic, complemented
13	#11748078	C₂	1	1	yes	maximal, characteristic, complemented
14	#11748074	C₂	1	1	yes	maximal, characteristic, complemented
15	#11747653	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615523	—	3	1	no	maximal, Hall
17	C₅×D₃×#41	C₂²	1	1	yes	characteristic
18	D₃×#709	C₂²	1	1	yes	characteristic
19	C₃×C₅×#131	C₂²	1	1	yes	characteristic, complemented
20	#91839	C₂²	1	1	yes	characteristic
21	#91790	C₂²	1	1	yes	characteristic, complemented
22	C₅×#948	C₂²	1	1	yes	characteristic, complemented
23	C₅×#907	—	2	1	no	—
24	C₅×#907	C₂²	1	1	yes	characteristic, complemented
25	C₅×D₃×M₁₆	—	2	1	no	—
26	C₅×D₃×M₁₆	C₂²	1	1	yes	characteristic
27	C₅×#901	—	2	1	no	—
28	C₅×#901	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₅×D₃×C₈	—	2	1	no	—
30	C₂×C₅×D₃×C₈	C₂²	1	1	yes	characteristic
31	C₃×#4096	C₂²	1	1	yes	characteristic
32	C₃×#4047	C₂²	1	1	yes	characteristic, complemented
33	#91520	C₄	1	1	yes	characteristic, complemented
34	#91518	C₄	1	1	yes	characteristic, complemented
35	#91510	C₄	1	1	yes	characteristic, complemented
36	#91504	C₄	1	1	yes	characteristic, complemented
37	#91496	C₄	1	1	yes	characteristic, complemented
38	#91494	C₄	1	1	yes	characteristic, complemented
39	#91486	C₄	1	1	yes	characteristic, complemented
40	#91480	C₄	1	1	yes	characteristic, complemented
41	#91371	C₂²	1	1	yes	characteristic
42	#91303	C₂²	1	1	yes	characteristic
43	#91297	C₂²	1	1	yes	characteristic
44	C₂×#6650	C₂²	1	1	yes	characteristic
45	#91291	C₂²	1	1	yes	characteristic, complemented
46	D₃×#681	C₂²	1	1	yes	characteristic
47	#91283	C₂²	1	1	yes	characteristic, complemented
48	#91267	—	2	1	no	—
49	#91265	—	2	1	no	—
50	D₃×#676	—	2	1	no	—
51	D₃×C₈×D₅	—	2	1	no	—
52	#91121	C₂²	1	1	yes	characteristic, complemented
53	#91109	C₂²	1	1	yes	characteristic, complemented
54	#91106	C₂²	1	1	yes	characteristic, complemented
55	C₈×Dic₁₅	C₂²	1	1	yes	characteristic, complemented
56	C₃×#3969	C₂²	1	1	yes	characteristic, complemented
57	C₃×#3957	C₂²	1	1	yes	characteristic, complemented
58	C₃×#3954	C₂²	1	1	yes	characteristic, complemented
59	C₃×C₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
60	#90992	C₂²	1	1	yes	characteristic, complemented
61	#90991	C₂²	1	1	yes	characteristic, complemented
62	#90981	C₂²	1	1	yes	characteristic, complemented
63	#90979	C₂²	1	1	yes	characteristic, complemented
64	#90978	C₂²	1	1	yes	characteristic, complemented
65	#90976	C₂²	1	1	yes	characteristic, complemented
66	#90954	C₂²	1	1	yes	characteristic, complemented
67	#90952	C₂²	1	1	yes	characteristic, complemented
68	#79888	—	5	1	no	maximal, Hall
69	C₂×C₅×#131	—	3	1	no	—
70	#66156	—	3	1	no	—
71	C₂×#4047	—	3	1	no	—
72	#65525	—	3	1	no	—
73	#65434	—	3	1	no	—
74	#65434	—	3	1	no	—
75	#65434	—	3	1	no	—
76	#65434	—	3	1	no	—
77	#65433	—	3	1	no	—
78	#65433	—	3	1	no	—
79	#65433	—	3	1	no	—
80	#65433	D₃	1	1	yes	characteristic, complemented
81	#65428	—	3	1	no	—
82	#65413	—	3	1	no	—
83	#65390	—	3	1	no	—
84	C₃×C₅×#41	C₂³	1	1	yes	characteristic
85	#6817	C₂³	1	1	yes	characteristic
86	C₅×#239	C₂×C₄	1	1	yes	characteristic
87	C₅×D₃×Q₈	C₂×C₄	1	1	yes	characteristic
88	C₅×#237	—	2	1	no	—
89	C₅×#237	C₂×C₄	1	1	yes	characteristic
90	C₅×D₃×D₄	—	2	1	no	—
91	C₅×D₃×D₄	C₂×C₄	1	1	yes	characteristic
92	C₅×#235	—	2	1	no	—
93	C₅×#235	C₂³	1	1	yes	characteristic
94	C₂×C₄×C₅×D₃	—	2	1	no	—
95	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
96	C₃×#709	C₂³	1	1	yes	characteristic
97	D₃×C₂²⋊D₅	—	2	1	no	—
98	#6779	—	2	1	no	—
99	D₃×D₂₀	C₂×C₄	1	1	yes	characteristic
100	C₄×D₃×D₅	—	2	1	no	—
101	#6771	—	2	1	no	—
102	#6769	C₂×C₄	1	1	yes	characteristic
103	D₃×Dic₁₀	C₂×C₄	1	1	yes	characteristic
104	#6765	C₂×C₄	1	1	yes	characteristic
105	C₃×C₅×M₁₆	—	2	1	no	—
106	C₃×C₅×M₁₆	C₂³	1	1	yes	characteristic
107	C₂×C₃×C₅×C₈	—	2	1	no	—
108	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
109	#6718	C₂×C₄	1	1	yes	characteristic
110	#6717	C₂×C₄	1	1	yes	characteristic
111	#6716	C₂×C₄	1	1	yes	characteristic
112	#6715	C₂×C₄	1	1	yes	characteristic
113	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
114	#6710	C₂³	1	1	yes	characteristic
115	C₂×C₃⋊#168	C₂³	1	1	yes	characteristic
116	#6705	—	2	1	no	—
117	C₈×D₁₅	—	2	1	no	—
118	C₅×#208	—	2	1	no	—
119	C₅×#208	C₂³	1	1	yes	characteristic
120	C₂×C₅×C₃⋊C₈	—	2	1	no	—
121	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
122	C₅×ΓL(1,𝔽₂₅)	—	2	1	no	—
123	C₅×ΓL(1,𝔽₂₅)	—	2	1	no	—
124	C₅×ΓL(1,𝔽₂₅)	—	2	1	no	—
125	C₅×D₃×C₈	—	2	1	no	—
126	C₅×D₃×C₈	—	2	1	no	—
127	C₅×D₃×C₈	—	2	1	no	—
128	C₅×D₃×C₈	D₄	1	1	yes	characteristic
129	C₅×D₃×C₈	D₄	1	1	yes	characteristic
130	C₅×D₃×C₈	D₄	1	1	yes	characteristic
131	C₅×D₃×C₈	D₄	1	1	yes	characteristic
132	C₃×#689	C₂×C₄	1	1	yes	characteristic
133	C₃×#688	C₂×C₄	1	1	yes	characteristic
134	C₃×#687	C₂×C₄	1	1	yes	characteristic
135	C₃×#686	C₂×C₄	1	1	yes	characteristic
136	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
137	C₃×#681	C₂³	1	1	yes	characteristic
138	C₂×C₃×#168	C₂³	1	1	yes	characteristic
139	C₃×#676	—	2	1	no	—
140	C₃×C₈×D₅	—	2	1	no	—
141	Dic₃⋊Dic₅	—	2	1	no	—
142	(C₂×D₃)⋊Dic₅	—	2	1	no	—
143	#6663	C₂×C₄	1	1	yes	characteristic
144	#6661	C₂×C₄	1	1	yes	characteristic
145	#6660	C₂×C₄	1	1	yes	characteristic
146	#6659	C₂×C₄	1	1	yes	characteristic
147	#6656	C₂×C₄	1	1	yes	characteristic
148	#6655	C₂×C₄	1	1	yes	characteristic
149	#6654	C₂×C₄	1	1	yes	characteristic
150	#6652	C₂×C₄	1	1	yes	characteristic
151	#6651	—	2	1	no	—
152	#6650	—	2	1	no	—
153	#6650	C₂×C₄	1	1	yes	characteristic
154	#6650	C₂×C₄	1	1	yes	characteristic
155	#6650	C₂×C₄	1	1	yes	characteristic
156	#6650	C₂×C₄	1	1	yes	characteristic
157	#6649	—	2	1	no	—
158	#6648	—	2	1	no	—
159	D₃×#168	—	2	1	no	—
160	D₅×C₃⋊C₈	—	2	1	no	—
161	#5768	—	5	1	no	—
162	D₃×#131	—	5	1	no	—
163	D₃×#131	D₅	1	1	yes	characteristic, complemented
164	C₃×#443	—	5	1	no	—
165	#5197	—	5	1	no	—
166	#5144	—	5	1	no	—
167	#5144	—	5	1	no	—
168	#4894	—	5	1	no	—
169	#4893	—	5	1	no	—
170	#4823	—	5	1	no	—
171	#4823	—	5	1	no	—
172	#4821	—	5	1	no	—
173	#4821	—	5	1	no	—
174	#4700	—	5	1	no	—
175	#4689	—	5	1	no	—
176	C₂×C₅×#41	—	3	1	no	—
177	C₂×#709	—	3	1	no	—
178	C₅×#131	—	3	1	no	—
179	C₅×#131	—	3	1	no	—
180	C₅×#131	—	3	1	no	—
181	C₅×#131	—	6	1	no	—
182	C₅×#131	—	6	1	no	—
183	C₅×#131	C₂×D₃	1	1	yes	characteristic, complemented
184	C₂×C₅×M₁₆	—	3	1	no	—
185	C₂×C₅×M₁₆	—	6	1	no	—
186	C₂²×C₅×C₈	—	3	1	no	—
187	C₂²×C₅×C₈	—	6	1	no	—
188	#4097	—	3	1	no	—
189	#4097	—	3	1	no	—
190	#4096	—	3	1	no	—
191	#4096	—	3	1	no	—
192	#4096	—	3	1	no	—
193	#4096	C₂×D₃	1	1	yes	characteristic
194	#4095	—	3	1	no	—
195	#4095	—	3	1	no	—
196	#4088	—	3	1	no	—
197	#4088	—	3	1	no	—
198	#4078	—	3	1	no	—
199	#4078	—	3	1	no	—
200	#4072	—	3	1	no	—
201	C₂×#681	—	3	1	no	—
202	C₂×#681	—	3	1	no	—
203	#4047	—	3	1	no	—
204	#4047	—	3	1	no	—
205	#4047	—	3	1	no	—
206	#4047	—	6	1	no	—
207	#4047	—	6	1	no	—
208	#4047	C₂×D₃	1	1	yes	characteristic, complemented
209	C₂×#676	—	6	1	no	—
210	C₂×C₈×D₅	—	6	1	no	—
211	#3969	—	3	1	no	—
212	#3969	—	3	1	no	—
213	#3969	—	3	1	no	—
214	#3969	C₂×D₃	1	1	yes	characteristic, complemented
215	#3957	—	3	1	no	—
216	#3957	—	3	1	no	—
217	#3957	—	3	1	no	—
218	#3957	C₂×D₃	1	1	yes	characteristic, complemented
219	#3954	—	3	1	no	—
220	#3954	—	3	1	no	—
221	#3954	—	3	1	no	—
222	#3954	C₂×D₃	1	1	yes	characteristic, complemented
223	#3947	—	3	1	no	—
224	#3947	—	3	1	no	—
225	C₈×Dic₅	—	3	1	no	—
226	C₈×Dic₅	C₂×D₃	1	1	yes	characteristic, complemented
227	#2955	—	15	1	no	Sylow
228	C₂²×C₅×D₃	—	2	1	no	—
229	C₂²×C₅×D₃	#41	1	1	yes	characteristic
230	C₂×D₃×D₅	—	2	1	no	—
231	C₃×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
232	C₃×C₅×D₄	—	2	1	no	—
233	C₃×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
234	C₂×C₃×C₄×C₅	—	2	1	no	—
235	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
236	#1220	—	2	1	no	—
237	C₂×Dic₁₅	—	2	1	no	—
238	D₆₀	C₂²×C₄	1	1	yes	characteristic
239	C₄×D₁₅	—	2	1	no	—
240	Dic₃₀	C₂²×C₄	1	1	yes	characteristic
241	C₅×#67	—	2	1	no	—
242	C₅×#67	—	2	1	no	—
243	C₅×#67	—	2	1	no	—
244	C₂×C₅×Dic₃	—	2	1	no	—
245	C₂×C₅×Dic₃	#41	1	1	yes	characteristic
246	C₅×D₁₂	—	2	1	no	—
247	C₅×D₁₂	C₂²×C₄	1	1	yes	characteristic
248	C₄×C₅×D₃	—	2	1	no	—
249	C₄×C₅×D₃	—	2	1	no	—
250	C₄×C₅×D₃	—	2	1	no	—
251	C₄×C₅×D₃	C₂²×C₄	1	1	yes	characteristic
252	C₄×C₅×D₃	C₂²×C₄	1	1	yes	characteristic
253	C₄×C₅×D₃	C₂×D₄	1	1	yes	characteristic
254	C₄×C₅×D₃	C₂×D₄	1	1	yes	characteristic
255	C₅×Dic₆	—	2	1	no	—
256	C₅×Dic₆	C₂²×C₄	1	1	yes	characteristic
257	C₃×C₂²⋊D₅	—	2	1	no	—
258	C₂×C₃×Dic₅	—	2	1	no	—
259	C₃×D₂₀	C₂²×C₄	1	1	yes	characteristic
260	C₃×C₄×D₅	—	2	1	no	—
261	C₃×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
262	#1204	—	2	1	no	—
263	#1203	—	2	1	no	—
264	#1202	—	2	1	no	—
265	#1201	—	2	1	no	—
266	#1200	—	2	1	no	—
267	D₃×Dic₅	—	2	1	no	—
268	D₅×Dic₃	—	2	1	no	—
269	C₃×C₅×C₈	—	2	1	no	—
270	C₃×C₅×C₈	C₂×D₄	1	1	yes	characteristic
271	C₃×C₅×C₈	C₂×D₄	1	1	yes	characteristic
272	C₃⋊#168	—	2	1	no	—
273	C₃⋊#168	C₂²×C₄	1	1	yes	characteristic
274	C₃⋊#168	C₂²×C₄	1	1	yes	characteristic
275	C₃×#168	—	2	1	no	—
276	C₃×#168	C₂²×C₄	1	1	yes	characteristic
277	C₃×#168	C₂²×C₄	1	1	yes	characteristic
278	C₅×C₃⋊C₈	—	2	1	no	—
279	C₅×C₃⋊C₈	C₂×D₄	1	1	yes	characteristic
280	C₅×C₃⋊C₈	C₂×D₄	1	1	yes	characteristic
281	D₃×#41	—	5	1	no	—
282	D₃×#41	C₂×D₅	1	1	yes	characteristic
283	C₃×#135	—	5	1	no	—
284	C₃×#131	—	5	1	no	—
285	C₃×#131	C₂×D₅	1	1	yes	characteristic, complemented
286	#950	—	5	1	no	—
287	#950	—	5	1	no	—
288	#948	—	5	1	no	—
289	#948	C₂×D₅	1	1	yes	characteristic, complemented
290	#918	—	5	1	no	—
291	#918	—	5	1	no	—
292	#915	—	5	1	no	—
293	#915	—	5	1	no	—
294	#914	—	5	1	no	—
295	#914	—	5	1	no	—
296	#911	—	5	1	no	—
297	#911	—	5	1	no	—
298	#907	—	2	1	no	—
299	#907	—	5	1	no	—
300	#907	—	10	1	no	—
301	#907	C₂×D₅	1	1	yes	characteristic, complemented
302	D₃×M₁₆	—	2	1	no	—
303	D₃×M₁₆	—	5	1	no	—
304	D₃×M₁₆	—	10	1	no	—
305	D₃×M₁₆	C₂×D₅	1	1	yes	characteristic
306	#904	—	5	1	no	—
307	#901	—	2	1	no	—
308	#901	—	5	1	no	—
309	#901	—	10	1	no	—
310	#901	C₂×D₅	1	1	yes	characteristic, complemented
311	C₂×ΓL(1,𝔽₂₅)	—	5	1	no	—
312	C₂×D₃×C₈	—	2	1	no	—
313	C₂×D₃×C₈	—	10	1	no	—
314	C₂×D₃×C₈	C₂×D₅	1	1	yes	characteristic
315	#872	—	5	1	no	—
316	C₃×#108	—	5	1	no	—
317	C₃×#104	—	5	1	no	—
318	C₃×#104	—	5	1	no	—
319	C₃×C₄×C₈	—	5	1	no	—
320	#837	—	5	1	no	—
321	#837	—	5	1	no	—
322	#825	—	5	1	no	—
323	#825	—	5	1	no	—
324	#822	—	5	1	no	—
325	#822	—	5	1	no	—
326	#819	—	5	1	no	—
327	#815	—	5	1	no	—
328	C₈×Dic₃	—	5	1	no	—
329	#805	—	5	1	no	—
330	#805	—	5	1	no	—
331	#803	—	5	1	no	—
332	C₅×#41	—	3	1	no	—
333	C₅×#41	—	3	1	no	—
334	C₅×#41	—	3	1	no	—
335	C₅×#41	—	6	1	no	—
336	C₅×#41	—	6	1	no	—
337	C₅×#41	C₂²×D₃	1	1	yes	characteristic
338	C₂×C₅×Q₈	—	3	1	no	—
339	C₂×C₅×D₄	—	3	1	no	—
340	C₂×C₅×D₄	—	6	1	no	—
341	C₂²×C₄×C₅	—	3	1	no	—
342	C₂²×C₄×C₅	—	6	1	no	—
343	C₂×C₂²⋊D₅	—	6	1	no	—
344	#709	—	3	1	no	—
345	#709	—	3	1	no	—
346	#709	—	3	1	no	—
347	#709	—	6	1	no	—
348	#709	—	6	1	no	—
349	#709	C₂²×D₃	1	1	yes	characteristic
350	C₂×D₂₀	—	3	1	no	—
351	C₂×C₄×D₅	—	6	1	no	—
352	C₂×Dic₁₀	—	3	1	no	—
353	C₅×M₁₆	—	2	1	no	—
354	C₅×M₁₆	—	3	1	no	—
355	C₅×M₁₆	—	6	1	no	—
356	C₅×M₁₆	—	6	1	no	—
357	C₅×M₁₆	—	6	1	no	—
358	C₅×M₁₆	—	6	1	no	—
359	C₅×M₁₆	C₂²×D₃	1	1	yes	characteristic
360	C₂×C₅×C₈	—	2	1	no	—
361	C₂×C₅×C₈	—	3	1	no	—
362	C₂×C₅×C₈	—	3	1	no	—
363	C₂×C₅×C₈	—	3	1	no	—
364	C₂×C₅×C₈	—	3	1	no	—
365	C₂×C₅×C₈	—	3	1	no	—
366	C₂×C₅×C₈	—	6	1	no	—
367	C₂×C₅×C₈	—	6	1	no	—
368	C₂×C₅×C₈	—	6	1	no	—
369	C₂×C₅×C₈	—	6	1	no	—
370	C₂×C₅×C₈	C₂²×D₃	1	1	yes	characteristic
371	C₂²⋊Dic₅	—	6	1	no	—
372	#689	—	3	1	no	—
373	#689	—	3	1	no	—
374	#689	—	3	1	no	—
375	#689	C₄×D₃	1	1	yes	characteristic
376	#688	—	3	1	no	—
377	#688	—	3	1	no	—
378	#688	—	3	1	no	—
379	#688	C₄×D₃	1	1	yes	characteristic
380	#687	—	3	1	no	—
381	#687	—	3	1	no	—
382	#687	—	3	1	no	—
383	#687	C₄×D₃	1	1	yes	characteristic
384	#686	—	3	1	no	—
385	#686	—	3	1	no	—
386	#686	—	3	1	no	—
387	#686	C₄×D₃	1	1	yes	characteristic
388	C₄⋊Dic₅	—	6	1	no	—
389	C₄×Dic₅	—	3	1	no	—
390	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
391	#681	—	3	1	no	—
392	#681	—	3	1	no	—
393	#681	—	3	1	no	—
394	#681	—	3	1	no	—
395	#681	—	3	1	no	—
396	#681	—	6	1	no	—
397	#681	C₂²×D₃	1	1	yes	characteristic
398	C₂×#168	—	3	1	no	—
399	C₂×#168	—	6	1	no	—
400	C₂×#168	C₂²×D₃	1	1	yes	characteristic
401	#676	—	2	1	no	—
402	#676	—	6	1	no	—
403	#676	—	6	1	no	—
404	#676	—	6	1	no	—
405	C₈×D₅	—	2	1	no	—
406	C₈×D₅	—	6	1	no	—
407	C₈×D₅	—	6	1	no	—
408	C₈×D₅	—	6	1	no	—
409	#575	—	15	1	no	—
410	C₂×#131	—	3	1	no	—
411	C₂×#131	—	15	1	no	—
412	#444	—	15	1	no	—
413	#444	—	15	1	no	—
414	#444	—	15	1	no	—
415	#444	—	15	1	no	—
416	#443	—	5	1	no	—
417	#443	—	15	1	no	—
418	#443	—	15	1	no	—
419	#443	—	15	1	no	—
420	#430	—	15	1	no	—
421	#421	—	15	1	no	—
422	#421	—	15	1	no	—
423	#405	—	15	1	no	—
424	C₂²×C₃×C₅	—	2	1	no	—
425	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
426	C₂×D₁₅	—	2	1	no	—
427	C₂×C₅×D₃	—	2	1	no	—
428	C₂×C₅×D₃	—	4	1	no	—
429	C₂×C₅×D₃	—	4	2	no	—
430	C₂×C₅×D₃	C₄×D₄	1	1	yes	characteristic
431	C₂×C₅×D₃	C₄×D₄	1	1	yes	characteristic
432	C₂×C₃×D₅	—	2	1	no	—
433	D₃×D₅	—	4	2	no	—
434	C₃×C₄×C₅	—	2	1	no	—
435	C₃×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
436	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
437	Dic₁₅	—	2	1	no	—
438	Dic₁₅	—	4	1	no	—
439	C₃×Dic₅	—	2	1	no	—
440	C₃×Dic₅	—	4	1	no	—
441	C₅×Dic₃	—	2	1	no	—
442	C₅×Dic₃	C₄×D₄	1	1	yes	characteristic
443	C₅×Dic₃	C₄×D₄	1	1	yes	characteristic
444	C₃×#41	—	5	1	no	—
445	C₃×#41	C₂²×D₅	1	1	yes	characteristic
446	#239	—	5	1	no	—
447	#239	C₄×D₅	1	1	yes	characteristic
448	D₃×Q₈	—	5	1	no	—
449	D₃×Q₈	C₄×D₅	1	1	yes	characteristic
450	#237	—	2	1	no	—
451	#237	—	5	1	no	—
452	#237	—	10	1	no	—
453	#237	C₄×D₅	1	1	yes	characteristic
454	D₃×D₄	—	2	1	no	—
455	D₃×D₄	—	5	1	no	—
456	D₃×D₄	—	10	1	no	—
457	D₃×D₄	C₄×D₅	1	1	yes	characteristic
458	#235	—	2	1	no	—
459	#235	—	5	1	no	—
460	#235	—	10	1	no	—
461	#235	C₂²×D₅	1	1	yes	characteristic
462	C₂×C₄×D₃	—	2	1	no	—
463	C₂×C₄×D₃	—	10	1	no	—
464	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
465	C₃×Q₁₆	—	5	1	no	—
466	C₃×SD₁₆	—	5	1	no	—
467	C₃×SD₁₆	—	5	1	no	—
468	C₃×D₈	—	5	1	no	—
469	C₃×M₁₆	—	2	1	no	—
470	C₃×M₁₆	—	5	1	no	—
471	C₃×M₁₆	—	10	1	no	—
472	C₃×M₁₆	C₂²×D₅	1	1	yes	characteristic
473	C₂×C₃×C₈	—	2	1	no	—
474	C₂×C₃×C₈	—	5	1	no	—
475	C₂×C₃×C₈	—	10	1	no	—
476	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
477	C₃×C₄²	—	5	1	no	—
478	#216	—	5	1	no	—
479	#216	—	5	1	no	—
480	#215	—	5	1	no	—
481	#215	—	5	1	no	—
482	#214	—	5	1	no	—
483	#214	—	5	1	no	—
484	#213	—	5	1	no	—
485	#213	—	5	1	no	—
486	(C₂×D₃)⋊C₄	—	10	1	no	—
487	Dic₃⋊C₄	—	10	1	no	—
488	C₄×Dic₃	—	5	1	no	—
489	#208	—	2	1	no	—
490	#208	—	5	1	no	—
491	#208	—	10	1	no	—
492	#208	C₂²×D₅	1	1	yes	characteristic
493	C₂×C₃⋊C₈	—	2	1	no	—
494	C₂×C₃⋊C₈	—	5	1	no	—
495	C₂×C₃⋊C₈	—	10	1	no	—
496	C₂×C₃⋊C₈	C₂²×D₅	1	1	yes	characteristic
497	Dic₁₂	—	5	1	no	—
498	D₂₄	—	5	1	no	—
499	#204	—	5	1	no	—
500	#204	—	5	1	no	—
501	ΓL(1,𝔽₂₅)	—	2	1	no	—
502	ΓL(1,𝔽₂₅)	—	2	1	no	—
503	ΓL(1,𝔽₂₅)	—	2	1	no	—
504	ΓL(1,𝔽₂₅)	—	5	1	no	—
505	ΓL(1,𝔽₂₅)	—	5	1	no	—
506	ΓL(1,𝔽₂₅)	—	5	1	no	—
507	ΓL(1,𝔽₂₅)	—	5	1	no	—
508	ΓL(1,𝔽₂₅)	—	10	1	no	—
509	ΓL(1,𝔽₂₅)	—	10	1	no	—
510	ΓL(1,𝔽₂₅)	—	10	1	no	—
511	D₃×C₈	—	2	1	no	—
512	D₃×C₈	—	2	1	no	—
513	D₃×C₈	—	2	1	no	—
514	D₃×C₈	—	10	1	no	—
515	D₃×C₈	—	10	1	no	—
516	D₃×C₈	—	10	1	no	—
517	D₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
518	D₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
519	D₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
520	D₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
521	C₂³×C₅	—	3	1	no	—
522	C₂³×C₅	—	6	1	no	—
523	C₂²×D₅	—	6	1	no	—
524	C₅×Q₈	—	3	1	no	—
525	C₅×Q₈	—	6	1	no	—
526	C₅×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
527	C₅×D₄	—	2	1	no	—
528	C₅×D₄	—	3	1	no	—
529	C₅×D₄	—	6	1	no	—
530	C₅×D₄	—	6	1	no	—
531	C₅×D₄	—	6	1	no	—
532	C₅×D₄	—	6	1	no	—
533	C₅×D₄	C₂×C₄×D₃	1	1	yes	characteristic
534	C₂×C₄×C₅	—	2	1	no	—
535	C₂×C₄×C₅	—	3	1	no	—
536	C₂×C₄×C₅	—	3	1	no	—
537	C₂×C₄×C₅	—	3	1	no	—
538	C₂×C₄×C₅	—	3	1	no	—
539	C₂×C₄×C₅	—	3	1	no	—
540	C₂×C₄×C₅	—	6	1	no	—
541	C₂×C₄×C₅	—	6	1	no	—
542	C₂×C₄×C₅	—	6	1	no	—
543	C₂×C₄×C₅	—	6	1	no	—
544	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
545	C₂²⋊D₅	—	2	1	no	—
546	C₂²⋊D₅	—	6	1	no	—
547	C₂²⋊D₅	—	6	1	no	—
548	C₂²⋊D₅	—	6	1	no	—
549	C₂×Dic₅	—	2	1	no	—
550	C₂×Dic₅	—	6	1	no	—
551	C₂×Dic₅	—	6	1	no	—
552	D₂₀	—	3	1	no	—
553	D₂₀	—	6	1	no	—
554	D₂₀	C₂×C₄×D₃	1	1	yes	characteristic
555	C₄×D₅	—	2	1	no	—
556	C₄×D₅	—	6	1	no	—
557	C₄×D₅	—	6	1	no	—
558	C₄×D₅	—	6	1	no	—
559	Dic₁₀	—	3	1	no	—
560	Dic₁₀	—	6	1	no	—
561	Dic₁₀	C₂×C₄×D₃	1	1	yes	characteristic
562	C₅×C₈	—	2	1	no	—
563	C₅×C₈	—	3	1	no	—
564	C₅×C₈	—	3	1	no	—
565	C₅×C₈	—	6	1	no	—
566	C₅×C₈	D₃×D₄	1	1	yes	characteristic
567	C₅×C₈	D₃×D₄	1	1	yes	characteristic
568	#168	—	2	1	no	—
569	#168	—	3	1	no	—
570	#168	—	3	1	no	—
571	#168	—	6	1	no	—
572	#168	C₂×C₄×D₃	1	1	yes	characteristic
573	#168	C₂×C₄×D₃	1	1	yes	characteristic
574	C₂×#41	—	3	1	no	—
575	C₂×#41	—	15	1	no	—
576	#137	—	15	1	no	—
577	#137	—	15	1	no	—
578	#137	—	15	1	no	—
579	#137	—	15	1	no	—
580	AGL(1,ℤ/8)	—	15	1	no	—
581	AGL(1,ℤ/8)	—	15	1	no	—
582	AGL(1,ℤ/8)	—	15	1	no	—
583	AGL(1,ℤ/8)	—	15	1	no	—
584	#135	—	5	1	no	—
585	#135	—	15	1	no	—
586	#135	—	15	1	no	—
587	#135	—	15	1	no	—
588	#131	—	3	1	no	—
589	#131	—	3	1	no	—
590	#131	—	3	1	no	—
591	#131	—	5	1	no	—
592	#131	—	6	1	no	—
593	#131	—	6	1	no	—
594	#131	—	15	1	no	—
595	#131	—	15	1	no	—
596	#131	—	15	1	no	—
597	#131	—	30	1	no	—
598	#131	—	30	1	no	—
599	#131	D₃×D₅	1	1	yes	characteristic, complemented
600	C₂×M₁₆	—	3	1	no	—
601	C₂×M₁₆	—	6	1	no	—
602	C₂×M₁₆	—	15	1	no	—
603	C₂×M₁₆	—	15	1	no	—
604	C₂×M₁₆	—	30	1	no	—
605	C₂²×C₈	—	3	1	no	—
606	C₂²×C₈	—	6	1	no	—
607	C₂²×C₈	—	30	1	no	—
608	#117	—	15	1	no	—
609	#108	—	5	1	no	—
610	#108	—	15	1	no	—
611	#108	—	15	1	no	—
612	#108	—	15	1	no	—
613	#104	—	5	1	no	—
614	#104	—	5	1	no	—
615	#104	—	15	1	no	—
616	#104	—	15	1	no	—
617	#104	—	15	1	no	—
618	#104	—	15	1	no	—
619	#104	—	15	1	no	—
620	#104	—	15	1	no	—
621	#97	—	15	1	no	—
622	#97	—	15	1	no	—
623	C₄×C₈	—	5	1	no	—
624	C₄×C₈	—	15	1	no	—
625	C₂×C₃×C₅	—	2	1	no	—
626	C₂×C₃×C₅	—	4	1	no	—
627	C₂×C₃×C₅	C₂×C₄×D₄	1	1	yes	characteristic
628	D₁₅	—	4	1	no	—
629	C₃×D₅	—	4	1	no	—
630	C₅×D₃	—	2	1	no	—
631	C₅×D₃	—	2	1	no	—
632	C₅×D₃	—	4	1	no	—
633	C₂²×D₃	—	2	1	no	—
634	C₂²×D₃	—	10	1	no	—
635	C₂²×D₃	#709	1	1	yes	characteristic
636	C₃×Q₈	—	5	1	no	—
637	C₃×Q₈	C₂×C₄×D₅	1	1	yes	characteristic
638	C₃×D₄	—	2	1	no	—
639	C₃×D₄	—	5	1	no	—
640	C₃×D₄	—	10	1	no	—
641	C₃×D₄	C₂×C₄×D₅	1	1	yes	characteristic
642	C₂×C₃×C₄	—	2	1	no	—
643	C₂×C₃×C₄	—	10	1	no	—
644	C₂×C₃×C₄	—	10	1	no	—
645	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
646	#67	—	2	1	no	—
647	#67	—	2	1	no	—
648	#67	—	2	1	no	—
649	#67	—	10	1	no	—
650	#67	—	10	1	no	—
651	#67	—	10	1	no	—
652	C₂×Dic₃	—	2	1	no	—
653	C₂×Dic₃	—	10	1	no	—
654	C₂×Dic₃	—	10	1	no	—
655	C₂×Dic₃	#709	1	1	yes	characteristic
656	D₁₂	—	2	1	no	—
657	D₁₂	—	5	1	no	—
658	D₁₂	—	10	1	no	—
659	D₁₂	C₂×C₄×D₅	1	1	yes	characteristic
660	C₄×D₃	—	2	1	no	—
661	C₄×D₃	—	2	1	no	—
662	C₄×D₃	—	2	1	no	—
663	C₄×D₃	—	10	1	no	—
664	C₄×D₃	—	10	1	no	—
665	C₄×D₃	—	10	1	no	—
666	C₄×D₃	C₂×C₄×D₅	1	1	yes	characteristic
667	C₄×D₃	C₂×C₄×D₅	1	1	yes	characteristic
668	C₄×D₃	C₂×C₂²⋊D₅	1	1	yes	characteristic
669	C₄×D₃	C₂×C₂²⋊D₅	1	1	yes	characteristic
670	Dic₆	—	2	1	no	—
671	Dic₆	—	5	1	no	—
672	Dic₆	—	10	1	no	—
673	Dic₆	C₂×C₄×D₅	1	1	yes	characteristic
674	C₃×C₈	—	2	1	no	—
675	C₃×C₈	—	5	1	no	—
676	C₃×C₈	—	5	1	no	—
677	C₃×C₈	—	10	1	no	—
678	C₃×C₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
679	C₃×C₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
680	C₃⋊C₈	—	2	1	no	—
681	C₃⋊C₈	—	5	1	no	—
682	C₃⋊C₈	—	5	1	no	—
683	C₃⋊C₈	—	10	1	no	—
684	C₃⋊C₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
685	C₃⋊C₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
686	C₂²×C₅	—	2	1	no	—
687	C₂²×C₅	—	3	1	no	—
688	C₂²×C₅	—	3	1	no	—
689	C₂²×C₅	—	6	1	no	—
690	C₂²×C₅	—	12	1	no	—
691	C₂²×C₅	—	12	2	no	—
692	C₂²×C₅	D₃×#41	1	1	yes	characteristic
693	C₂×D₅	—	2	1	no	—
694	C₂×D₅	—	6	1	no	—
695	C₂×D₅	—	12	2	no	—
696	C₄×C₅	—	2	1	no	—
697	C₄×C₅	—	3	1	no	—
698	C₄×C₅	—	3	1	no	—
699	C₄×C₅	—	6	1	no	—
700	C₄×C₅	C₂²×C₄×D₃	1	1	yes	characteristic
701	C₄×C₅	C₂×D₃×D₄	1	1	yes	characteristic
702	Dic₅	—	2	1	no	—
703	Dic₅	—	4	1	no	—
704	Dic₅	—	6	1	no	—
705	Dic₅	—	12	1	no	—
706	#41	—	3	1	no	—
707	#41	—	3	1	no	—
708	#41	—	3	1	no	—
709	#41	—	5	1	no	—
710	#41	—	6	1	no	—
711	#41	—	6	1	no	—
712	#41	—	15	1	no	—
713	#41	—	15	1	no	—
714	#41	—	15	1	no	—
715	#41	—	30	1	no	—
716	#41	—	30	1	no	—
717	#41	C₂×D₃×D₅	1	1	yes	characteristic
718	C₂×Q₈	—	3	1	no	—
719	C₂×Q₈	—	15	1	no	—
720	C₂×D₄	—	3	1	no	—
721	C₂×D₄	—	6	1	no	—
722	C₂×D₄	—	15	1	no	—
723	C₂×D₄	—	30	1	no	—
724	C₂²×C₄	—	3	1	no	—
725	C₂²×C₄	—	6	1	no	—
726	C₂²×C₄	—	30	1	no	—
727	Q₁₆	—	5	1	no	—
728	Q₁₆	—	15	1	no	—
729	Q₁₆	—	15	1	no	—
730	Q₁₆	—	15	1	no	—
731	SD₁₆	—	5	1	no	—
732	SD₁₆	—	5	1	no	—
733	SD₁₆	—	15	1	no	—
734	SD₁₆	—	15	1	no	—
735	SD₁₆	—	15	1	no	—
736	SD₁₆	—	15	1	no	—
737	SD₁₆	—	15	1	no	—
738	SD₁₆	—	15	1	no	—
739	D₈	—	5	1	no	—
740	D₈	—	15	1	no	—
741	D₈	—	15	1	no	—
742	D₈	—	15	1	no	—
743	M₁₆	—	2	1	no	—
744	M₁₆	—	3	1	no	—
745	M₁₆	—	5	1	no	—
746	M₁₆	—	6	1	no	—
747	M₁₆	—	6	1	no	—
748	M₁₆	—	6	1	no	—
749	M₁₆	—	6	1	no	—
750	M₁₆	—	10	1	no	—
751	M₁₆	—	15	1	no	—
752	M₁₆	—	15	1	no	—
753	M₁₆	—	15	1	no	—
754	M₁₆	—	15	1	no	—
755	M₁₆	—	15	1	no	—
756	M₁₆	—	30	1	no	—
757	M₁₆	—	30	1	no	—
758	M₁₆	—	30	1	no	—
759	M₁₆	—	30	1	no	—
760	M₁₆	C₂×D₃×D₅	1	1	yes	characteristic
761	C₂×C₈	—	2	1	no	—
762	C₂×C₈	—	3	1	no	—
763	C₂×C₈	—	3	1	no	—
764	C₂×C₈	—	3	1	no	—
765	C₂×C₈	—	3	1	no	—
766	C₂×C₈	—	3	1	no	—
767	C₂×C₈	—	5	1	no	—
768	C₂×C₈	—	6	1	no	—
769	C₂×C₈	—	6	1	no	—
770	C₂×C₈	—	6	1	no	—
771	C₂×C₈	—	6	1	no	—
772	C₂×C₈	—	10	1	no	—
773	C₂×C₈	—	15	1	no	—
774	C₂×C₈	—	30	1	no	—
775	C₂×C₈	—	30	1	no	—
776	C₂×C₈	—	30	1	no	—
777	C₂×C₈	—	30	1	no	—
778	C₂×C₈	C₂×D₃×D₅	1	1	yes	characteristic
779	C₄⋊C₄	—	30	1	no	—
780	C₂²⋊C₄	—	30	1	no	—
781	C₄²	—	5	1	no	—
782	C₄²	—	15	1	no	—
783	C₃×C₅	#2955	1	1	yes	characteristic, complemented, Hall
784	C₂²×C₃	—	2	1	no	—
785	C₂²×C₃	—	10	1	no	—
786	C₂²×C₃	C₂×#709	1	1	yes	characteristic
787	C₂×D₃	—	2	1	no	—
788	C₂×D₃	—	4	1	no	—
789	C₂×D₃	—	4	2	no	—
790	C₂×D₃	—	10	1	no	—
791	C₂×D₃	—	20	2	no	—
792	C₂×D₃	C₄×C₂²⋊D₅	1	1	yes	characteristic
793	C₂×D₃	C₄×C₂²⋊D₅	1	1	yes	characteristic
794	C₃×C₄	—	2	1	no	—
795	C₃×C₄	—	10	1	no	—
796	C₃×C₄	—	20	1	no	—
797	C₃×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
798	C₃×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
799	Dic₃	—	2	1	no	—
800	Dic₃	—	10	1	no	—
801	Dic₃	—	20	1	no	—
802	Dic₃	C₄×C₂²⋊D₅	1	1	yes	characteristic
803	Dic₃	C₄×C₂²⋊D₅	1	1	yes	characteristic
804	C₂×C₅	—	2	1	no	—
805	C₂×C₅	—	4	1	no	—
806	C₂×C₅	—	6	1	no	—
807	C₂×C₅	—	6	1	no	—
808	C₂×C₅	—	12	1	no	—
809	C₂×C₅	C₄×D₃×D₄	1	1	yes	characteristic
810	D₅	—	4	1	no	—
811	D₅	—	12	1	no	—
812	C₂³	—	3	1	no	—
813	C₂³	—	6	1	no	—
814	C₂³	—	30	1	no	—
815	Q₈	—	3	1	no	—
816	Q₈	—	5	1	no	—
817	Q₈	—	6	1	no	—
818	Q₈	—	15	1	no	—
819	Q₈	—	30	1	no	—
820	Q₈	C₄×D₃×D₅	1	1	yes	characteristic
821	D₄	—	2	1	no	—
822	D₄	—	3	1	no	—
823	D₄	—	5	1	no	—
824	D₄	—	6	1	no	—
825	D₄	—	6	1	no	—
826	D₄	—	6	1	no	—
827	D₄	—	6	1	no	—
828	D₄	—	10	1	no	—
829	D₄	—	15	1	no	—
830	D₄	—	30	1	no	—
831	D₄	—	30	1	no	—
832	D₄	—	30	1	no	—
833	D₄	—	30	1	no	—
834	D₄	C₄×D₃×D₅	1	1	yes	characteristic
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	3	1	no	—
837	C₂×C₄	—	3	1	no	—
838	C₂×C₄	—	3	1	no	—
839	C₂×C₄	—	3	1	no	—
840	C₂×C₄	—	3	1	no	—
841	C₂×C₄	—	6	1	no	—
842	C₂×C₄	—	6	1	no	—
843	C₂×C₄	—	6	1	no	—
844	C₂×C₄	—	6	1	no	—
845	C₂×C₄	—	10	1	no	—
846	C₂×C₄	—	10	1	no	—
847	C₂×C₄	—	30	1	no	—
848	C₂×C₄	—	30	1	no	—
849	C₂×C₄	—	30	1	no	—
850	C₂×C₄	—	30	1	no	—
851	C₂×C₄	—	30	1	no	—
852	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
853	C₈	—	2	1	no	—
854	C₈	—	3	1	no	—
855	C₈	—	3	1	no	—
856	C₈	—	5	1	no	—
857	C₈	—	5	1	no	—
858	C₈	—	6	1	no	—
859	C₈	—	10	1	no	—
860	C₈	—	15	1	no	—
861	C₈	—	15	1	no	—
862	C₈	—	30	1	no	—
863	C₈	D₃×C₂²⋊D₅	1	1	yes	characteristic
864	C₈	D₃×C₂²⋊D₅	1	1	yes	characteristic
865	C₂×C₃	—	2	1	no	—
866	C₂×C₃	—	4	1	no	—
867	C₂×C₃	—	20	1	no	—
868	C₂×C₃	C₂×C₄×C₂²⋊D₅	1	1	yes	characteristic
869	D₃	—	2	1	no	—
870	D₃	—	2	1	no	—
871	D₃	—	4	1	no	—
872	D₃	—	20	1	no	—
873	C₅	#79888	1	1	yes	characteristic, complemented, Sylow
874	C₂²	—	2	1	no	—
875	C₂²	—	3	1	no	—
876	C₂²	—	3	1	no	—
877	C₂²	—	6	1	no	—
878	C₂²	—	10	1	no	—
879	C₂²	—	12	1	no	—
880	C₂²	—	12	2	no	—
881	C₂²	—	30	1	no	—
882	C₂²	—	60	2	no	—
883	C₂²	D₃×#709	1	1	yes	characteristic
884	C₄	—	2	1	no	—
885	C₄	—	3	1	no	—
886	C₄	—	3	1	no	—
887	C₄	—	6	1	no	—
888	C₄	—	10	1	no	—
889	C₄	—	20	1	no	—
890	C₄	—	30	1	no	—
891	C₄	—	60	1	no	—
892	C₄	C₂×C₄×D₃×D₅	1	1	yes	characteristic
893	C₄	C₂×D₃×C₂²⋊D₅	1	1	yes	characteristic
894	C₃	#10615523	1	1	yes	characteristic, complemented, Sylow
895	C₂	—	2	1	no	—
896	C₂	—	4	1	no	—
897	C₂	—	6	1	no	—
898	C₂	—	6	1	no	—
899	C₂	—	12	1	no	—
900	C₂	—	20	1	no	—
901	C₂	—	60	1	no	—
902	C₂	C₄×D₃×C₂²⋊D₅	1	1	yes	characteristic

	subgroup	G/H
center	C₈	D₃×C₂²⋊D₅
commutator	C₃×C₄×C₅	C₂³×C₄
Frattini	C₂×C₄	C₂²×D₃×D₅
Fitting	C₃×C₅×#131	C₂²
socle	C₂×C₃×C₅	C₂×C₄×D₄
prime radical	#11755322	C₂
cosocle	C₂×C₃×C₄×C₅	C₂⁴
hypercenter	#131	D₃×D₅
hypocenter	C₃×C₅	#2955
LCS	G ▷ C₃×C₄×C₅ ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₈ ◁ C₂×C₈ ◁ #131

Complements

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

N	H ≅ G/N	type
1. C₅×D₃×#131	C₂	semidirect
3. D₃×#4047	C₂	semidirect
4. #11751245	C₂	semidirect
5. C₃×#65433	C₂	semidirect
6. #11749439	C₂	semidirect
7. #11749437	C₂	semidirect
8. #11749429	C₂	semidirect
9. #11748233	C₂	semidirect
10. #11748209	C₂	semidirect
11. #11748205	C₂	semidirect
12. #11748172	C₂	semidirect
13. #11748078	C₂	semidirect
14. #11748074	C₂	semidirect
15. #11747653	C₂	semidirect
19. C₃×C₅×#131	C₂²	semidirect
21. #91790	C₂²	semidirect
22. C₅×#948	C₂²	semidirect
24. C₅×#907	C₂²	semidirect
28. C₅×#901	C₂²	semidirect
32. C₃×#4047	C₂²	semidirect
33. #91520	C₄	semidirect
34. #91518	C₄	semidirect
35. #91510	C₄	semidirect
36. #91504	C₄	semidirect
37. #91496	C₄	semidirect
38. #91494	C₄	semidirect
39. #91486	C₄	semidirect
40. #91480	C₄	semidirect
45. #91291	C₂²	semidirect
47. #91283	C₂²	semidirect
52. #91121	C₂²	semidirect
53. #91109	C₂²	semidirect
54. #91106	C₂²	semidirect
55. C₈×Dic₁₅	C₂²	semidirect
56. C₃×#3969	C₂²	semidirect
57. C₃×#3957	C₂²	semidirect
58. C₃×#3954	C₂²	semidirect
59. C₃×C₈×Dic₅	C₂²	semidirect
60. #90992	C₂²	semidirect
61. #90991	C₂²	semidirect
62. #90981	C₂²	semidirect
63. #90979	C₂²	semidirect
64. #90978	C₂²	semidirect
65. #90976	C₂²	semidirect
66. #90954	C₂²	semidirect
67. #90952	C₂²	semidirect
80. #65433	D₃	semidirect
163. D₃×#131	D₅	semidirect
183. C₅×#131	C₂×D₃	semidirect
208. #4047	C₂×D₃	semidirect
214. #3969	C₂×D₃	semidirect
218. #3957	C₂×D₃	semidirect
222. #3954	C₂×D₃	semidirect
226. C₈×Dic₅	C₂×D₃	semidirect
285. C₃×#131	C₂×D₅	semidirect
289. #948	C₂×D₅	semidirect
301. #907	C₂×D₅	semidirect
310. #901	C₂×D₅	semidirect
599. #131	D₃×D₅	semidirect
783. C₃×C₅	#2955	semidirect
873. C₅	#79888	semidirect
894. C₃	#10615523	semidirect

Maximal subgroups

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

subgroup	index
C₅×D₃×#131	2
#11755322	2
D₃×#4047	2
#11751245	2
C₃×#65433	2
#11749439	2
#11749437	2
#11749429	2
#11748233	2
#11748209	2
#11748205	2
#11748172	2
#11748078	2
#11748074	2
#11747653	2
#10615523	3
#79888	5