Subgroups — #28328357

Order 13568.

648 conjugacy classes of subgroups.

The subgroup lattice has 424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291684	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291682	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291106	C₂	1	4	yes	maximal, complemented
4	#20291103	C₂	1	4	yes	maximal, complemented
5	C₂×#16811546	C₂	1	1	yes	maximal, characteristic, complemented
6	#20290959	C₂	1	1	yes	maximal, characteristic, complemented
7	#20290957	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄×#13133291	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16810737	C₂	1	1	yes	maximal, characteristic
10	#16811682	—	2	2	no	—
11	#16811682	C₂²	1	4	yes	complemented
12	#16811681	—	2	2	no	—
13	#16811681	C₂²	1	4	yes	complemented
14	D₅₃⋊M₃₂	—	2	2	no	—
15	C₂×#13133291	—	2	2	no	—
16	C₂×#13133291	C₂²	1	1	yes	characteristic
17	C₂×#13133291	C₂²	1	1	yes	characteristic
18	C₂×#13133291	C₂²	1	1	yes	characteristic
19	C₂×#13133291	C₂²	1	1	yes	characteristic
20	#16811546	C₂²	1	2	yes	complemented
21	#16811546	C₂²	1	2	yes	complemented
22	#16811522	C₂²	1	4	yes	complemented
23	#16811521	C₂²	1	4	yes	complemented
24	#16811511	C₂²	1	2	yes	complemented
25	C₄×#11719910	C₂²	1	2	yes	complemented
26	C₂×#13133237	C₄	1	1	yes	characteristic
27	C₂×#13133225	C₂²	1	1	yes	characteristic
28	C₂×#13133224	C₂²	1	1	yes	characteristic
29	#16810737	C₄	1	2	yes	—
30	#16810737	C₄	1	2	yes	—
31	#16810737	C₂²	1	2	yes	—
32	#16810737	C₂²	1	2	yes	—
33	C₂×#13133152	C₄	1	1	yes	characteristic
34	C₂×#13133145	C₄	1	1	yes	characteristic
35	C₂×C₄×#88322	C₂²	1	1	yes	characteristic
36	C₂×#104×C₅₃	C₄	1	1	yes	characteristic
37	#13133292	—	2	4	no	—
38	#13133291	—	2	1	no	—
39	#13133291	—	2	1	no	—
40	#13133291	—	2	1	no	—
41	#13133291	—	2	1	no	—
42	#13133291	—	2	4	no	—
43	#13133291	D₄	1	2	yes	—
44	#13133291	D₄	1	2	yes	—
45	#13133291	C₂³	1	2	yes	—
46	#13133291	C₂³	1	2	yes	—
47	D₅₃⋊C₁₆	—	2	4	no	—
48	C₂×#11719910	—	2	1	no	—
49	C₂×#11719910	—	2	1	no	—
50	C₂×#11719910	—	2	4	no	—
51	C₂×#11719910	C₂³	1	2	yes	—
52	C₂×#11719910	C₂³	1	2	yes	—
53	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
54	#13133237	C₈	1	2	yes	—
55	#13133237	C₈	1	2	yes	—
56	#13133237	C₂×C₄	1	2	yes	—
57	#13133237	C₂×C₄	1	2	yes	—
58	C₂×#11719925	C₈	1	1	yes	characteristic
59	C₂×#11719923	C₈	1	1	yes	characteristic
60	C₂×#11719924	C₈	1	1	yes	characteristic
61	C₂×#11719922	C₈	1	1	yes	characteristic
62	#13133225	—	2	1	no	—
63	#13133225	—	2	1	no	—
64	#13133225	C₂×C₄	1	2	yes	—
65	#13133225	C₂³	1	2	yes	—
66	#13133224	—	2	1	no	—
67	#13133224	—	2	1	no	—
68	#13133224	C₂×C₄	1	2	yes	—
69	#13133224	C₂³	1	2	yes	—
70	C₂×#11719917	—	2	1	no	—
71	C₂×#11719917	C₂×C₄	1	1	yes	characteristic
72	C₂×#11719912	—	2	1	no	—
73	C₂²×#88322	—	2	1	no	—
74	C₂²×#88322	C₂×C₄	1	1	yes	characteristic
75	C₂²×#88322	C₂³	1	1	yes	characteristic
76	C₂×C₈×D₅₃	—	2	1	no	—
77	#13133152	C₂×C₄	1	2	yes	—
78	#13133152	C₂×C₄	1	2	yes	—
79	#13133145	C₂×C₄	1	2	yes	—
80	#13133145	C₂×C₄	1	2	yes	—
81	C₄×#88322	C₂×C₄	1	1	yes	characteristic
82	C₄×#88322	C₂×C₄	1	1	yes	characteristic
83	C₄×#88322	C₂³	1	1	yes	characteristic
84	C₄×#88322	C₂³	1	1	yes	characteristic
85	C₂×#41×C₅₃	C₂×C₄	1	1	yes	characteristic
86	C₂×M₁₆×C₅₃	C₂×C₄	1	1	yes	characteristic
87	C₂×C₄²×C₅₃	C₂×C₄	1	1	yes	characteristic
88	#104×C₅₃	C₂×C₄	1	2	yes	—
89	#104×C₅₃	C₂×C₄	1	2	yes	—
90	#41×C₅₃	—	2	1	no	—
91	#41×C₅₃	—	2	1	no	—
92	#41×C₅₃	C₂×C₈	1	2	yes	—
93	#41×C₅₃	C₂²×C₄	1	2	yes	—
94	C₂×Q₈×C₅₃	C₂×C₈	1	1	yes	characteristic
95	C₂×D₄×C₅₃	—	2	1	no	—
96	C₂×D₄×C₅₃	C₂×C₈	1	1	yes	characteristic
97	C₂²×C₄×C₅₃	—	2	1	no	—
98	C₂²×C₄×C₅₃	—	2	1	no	—
99	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
100	C₂×C₂²⋊D₅₃	—	2	1	no	—
101	#11719945	—	2	1	no	—
102	#11719945	—	2	1	no	—
103	#11719945	C₂×C₈	1	2	yes	—
104	#11719945	C₂²×C₄	1	2	yes	—
105	C₂×D₂₁₂	C₂×C₈	1	1	yes	characteristic
106	C₂×C₄×D₅₃	—	2	1	no	—
107	C₂×Dic₁₀₆	C₂×C₈	1	1	yes	characteristic
108	M₁₆×C₅₃	—	2	1	no	—
109	M₁₆×C₅₃	C₂²×C₄	1	2	yes	—
110	C₂×C₈×C₅₃	—	2	1	no	—
111	C₄²×C₅₃	—	2	1	no	—
112	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
113	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
114	#11719925	C₂×C₈	1	2	yes	—
115	#11719925	C₂×C₈	1	2	yes	—
116	#11719924	C₂×C₈	1	2	yes	—
117	#11719924	C₂×C₈	1	2	yes	—
118	#11719923	C₂×C₈	1	2	yes	—
119	#11719923	C₂×C₈	1	2	yes	—
120	#11719922	C₂×C₈	1	2	yes	—
121	#11719922	C₂×C₈	1	2	yes	—
122	#11719917	—	2	1	no	—
123	#11719917	—	2	2	no	—
124	#11719917	—	2	2	no	—
125	#11719917	C₂²×C₄	1	2	yes	—
126	C₂×#88322	—	2	1	no	—
127	C₂×#88322	—	2	2	no	—
128	C₂×#88322	—	2	2	no	—
129	C₂×#88322	C₂×C₈	1	1	yes	characteristic
130	C₂×#88322	C₂×C₈	1	1	yes	characteristic
131	C₂×#88322	C₂×C₈	1	1	yes	characteristic
132	C₂×#88322	C₂×C₈	1	1	yes	characteristic
133	C₂×#88322	C₂²×C₄	1	1	yes	characteristic
134	C₂×#88322	C₂²×C₄	1	1	yes	characteristic
135	C₂×#88322	C₂²×C₄	1	1	yes	characteristic
136	C₂×#88322	C₂×D₄	1	1	yes	characteristic
137	C₂×#88322	C₂×D₄	1	1	yes	characteristic
138	C₂×#88322	#41	1	1	yes	characteristic
139	C₂×#88322	#41	1	1	yes	characteristic
140	C₂×#88322	C₂⁴	1	1	yes	characteristic
141	#11719912	—	2	2	no	—
142	#11719912	—	2	2	no	—
143	C₈×D₅₃	—	2	2	no	—
144	C₈×D₅₃	—	2	2	no	—
145	#11719910	—	2	2	no	—
146	#11719910	—	2	2	no	—
147	#11719910	—	2	2	no	—
148	#11719910	C₂×D₄	1	4	yes	—
149	C₂³×C₅₃	—	2	1	no	—
150	C₂³×C₅₃	#131	1	1	yes	characteristic
151	C₂²×D₅₃	—	2	1	no	—
152	Q₈×C₅₃	—	2	1	no	—
153	Q₈×C₅₃	C₂²×C₈	1	2	yes	—
154	D₄×C₅₃	—	2	2	no	—
155	D₄×C₅₃	—	2	2	no	—
156	D₄×C₅₃	—	2	1	no	—
157	D₄×C₅₃	C₂²×C₈	1	2	yes	—
158	C₂×C₄×C₅₃	—	2	1	no	—
159	C₂×C₄×C₅₃	—	2	1	no	—
160	C₂×C₄×C₅₃	—	2	2	no	—
161	C₂×C₄×C₅₃	—	2	2	no	—
162	C₂×C₄×C₅₃	—	2	1	no	—
163	C₂×C₄×C₅₃	—	4	2	no	—
164	C₂×C₄×C₅₃	C₄×D₄	1	1	yes	characteristic
165	C₂×C₄×C₅₃	C₄×D₄	1	1	yes	characteristic
166	C₂×C₄×C₅₃	C₂²×C₈	1	1	yes	characteristic
167	C₂×C₄×C₅₃	C₂²×C₈	1	1	yes	characteristic
168	C₂×C₄×C₅₃	#131	1	1	yes	characteristic
169	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
170	C₂²⋊D₅₃	—	2	2	no	—
171	C₂²⋊D₅₃	—	2	2	no	—
172	C₂×Dic₅₃	—	2	1	no	—
173	D₂₁₂	—	2	1	no	—
174	D₂₁₂	C₂²×C₈	1	2	yes	—
175	C₄×D₅₃	—	2	2	no	—
176	C₄×D₅₃	—	2	2	no	—
177	Dic₁₀₆	—	2	1	no	—
178	Dic₁₀₆	C₂²×C₈	1	2	yes	—
179	C₈×C₅₃	—	2	2	no	—
180	#88322	—	2	2	no	—
181	#88322	C₄×D₄	1	1	yes	characteristic
182	#88322	C₄×D₄	1	1	yes	characteristic
183	#88322	C₂²×C₈	1	1	yes	characteristic
184	#88322	C₂²×C₈	1	1	yes	characteristic
185	#88322	C₂²×C₈	1	1	yes	characteristic
186	#88322	C₂²×C₈	1	1	yes	characteristic
187	#88322	C₂²×D₄	1	1	yes	characteristic
188	#88322	C₂×#41	1	1	yes	characteristic
189	#33443	—	53	1	no	maximal, Sylow
190	C₂²×C₅₃	—	2	2	no	—
191	C₂²×C₅₃	—	4	1	no	—
192	C₂²×C₅₃	—	8	1	no	—
193	C₂²×C₅₃	C₈×D₄	1	1	yes	characteristic
194	C₂²×C₅₃	C₈×D₄	1	1	yes	characteristic
195	C₂²×C₅₃	C₂×#131	1	1	yes	characteristic
196	C₂×D₅₃	—	2	2	no	—
197	C₂×D₅₃	—	8	1	no	—
198	C₄×C₅₃	—	2	2	no	—
199	C₄×C₅₃	—	2	2	no	—
200	C₄×C₅₃	—	4	1	no	—
201	C₄×C₅₃	C₈×D₄	1	1	yes	characteristic
202	C₄×C₅₃	C₈×D₄	1	1	yes	characteristic
203	C₄×C₅₃	C₂×C₄×D₄	1	1	yes	characteristic
204	C₄×C₅₃	C₂³×C₈	1	1	yes	characteristic
205	Dic₅₃	—	2	2	no	—
206	#3407	—	53	1	no	—
207	#3407	—	53	1	no	—
208	C₂×#443	—	53	1	no	—
209	#2171	—	53	4	no	—
210	#2170	—	53	4	no	—
211	C₂×#364	—	53	1	no	—
212	#2117	—	53	1	no	—
213	#2117	—	53	1	no	—
214	C₄×M₃₂	—	53	1	no	—
215	C₂×C₅₃	—	2	1	no	—
216	C₂×C₅₃	—	2	1	no	—
217	C₂×C₅₃	—	2	1	no	—
218	C₂×C₅₃	—	4	2	no	—
219	C₂×C₅₃	C₂×C₈×D₄	1	1	yes	characteristic
220	D₅₃	—	4	2	no	—
221	C₂×#135	—	53	1	no	—
222	C₂×#131	—	53	1	no	—
223	C₂×#131	—	53	1	no	—
224	#504	—	53	4	no	—
225	#504	—	53	4	no	—
226	#504	—	106	2	no	—
227	#504	—	106	2	no	—
228	C₂×M₃₂	—	53	1	no	—
229	C₂×M₃₂	—	53	1	no	—
230	C₂×M₃₂	—	53	1	no	—
231	C₂×M₃₂	—	53	1	no	—
232	C₂×M₃₂	—	106	2	no	—
233	C₂×M₃₂	—	106	2	no	—
234	#443	—	53	2	no	—
235	#443	—	53	2	no	—
236	#443	—	53	2	no	—
237	#443	—	53	2	no	—
238	C₂×#108	—	53	1	no	—
239	C₂×#104	—	53	1	no	—
240	C₂×#104	#6157	1	1	yes	characteristic
241	C₂×C₄×C₈	—	53	1	no	—
242	#364	—	53	2	no	—
243	#364	—	53	2	no	—
244	#350	—	53	4	no	—
245	#350	—	53	4	no	—
246	#346	—	53	2	no	—
247	C₄×C₁₆	—	53	2	no	—
248	C₅₃	#33443	1	1	yes	characteristic, complemented, Sylow
249	C₂×#41	—	53	1	no	—
250	C₂×#41	C₂×#6157	1	1	yes	characteristic
251	#135	—	53	2	no	—
252	#135	—	53	2	no	—
253	#135	—	53	2	no	—
254	#135	—	53	2	no	—
255	C₂×Q₁₆	—	53	1	no	—
256	C₂×SD₁₆	—	53	1	no	—
257	C₂×SD₁₆	—	53	1	no	—
258	C₂×D₈	—	53	1	no	—
259	#131	—	53	2	no	—
260	#131	—	53	2	no	—
261	#131	—	53	2	no	—
262	#131	—	53	2	no	—
263	#131	—	106	1	no	—
264	#131	—	106	1	no	—
265	#131	—	106	1	no	—
266	#131	—	106	1	no	—
267	C₂×M₁₆	—	53	1	no	—
268	C₂×M₁₆	—	106	1	no	—
269	C₂×M₁₆	—	106	1	no	—
270	C₂×M₁₆	C₂×#6157	1	1	yes	characteristic
271	C₂²×C₈	—	53	1	no	—
272	C₂²×C₈	—	53	1	no	—
273	C₂²×C₈	—	106	1	no	—
274	C₂²×C₈	—	106	1	no	—
275	C₂×C₄²	C₂×#6157	1	1	yes	characteristic
276	M₃₂	—	53	2	no	—
277	M₃₂	—	53	2	no	—
278	M₃₂	—	53	2	no	—
279	M₃₂	—	53	2	no	—
280	M₃₂	—	106	4	no	—
281	M₃₂	—	106	4	no	—
282	M₃₂	—	106	1	no	—
283	M₃₂	—	106	1	no	—
284	M₃₂	—	106	1	no	—
285	M₃₂	—	106	1	no	—
286	C₂×C₁₆	—	53	2	no	—
287	C₂×C₁₆	—	53	2	no	—
288	C₂×C₁₆	—	106	4	no	—
289	C₂×C₁₆	—	106	4	no	—
290	C₂×C₁₆	—	106	1	no	—
291	C₂×C₁₆	—	106	1	no	—
292	#108	—	53	2	no	—
293	#108	—	53	2	no	—
294	#104	—	53	2	no	—
295	#104	—	53	2	no	—
296	#104	C₂×#6157	1	2	yes	—
297	#104	C₂×#6157	1	2	yes	—
298	C₄×C₈	—	53	1	no	—
299	C₄×C₈	—	53	1	no	—
300	C₄×C₈	—	53	1	no	—
301	C₄×C₈	—	53	1	no	—
302	#41	—	2	1	no	—
303	#41	—	2	1	no	—
304	#41	—	53	2	no	—
305	#41	—	53	2	no	—
306	#41	—	106	1	no	—
307	#41	—	106	1	no	—
308	#41	D₅₃⋊C₈	1	2	yes	—
309	#41	C₂²×#6157	1	2	yes	—
310	C₂×Q₈	—	53	1	no	—
311	C₂×Q₈	D₅₃⋊C₈	1	1	yes	characteristic
312	C₂×D₄	—	2	1	no	—
313	C₂×D₄	—	53	1	no	—
314	C₂×D₄	—	106	1	no	—
315	C₂×D₄	D₅₃⋊C₈	1	1	yes	characteristic
316	C₂²×C₄	—	2	1	no	—
317	C₂²×C₄	—	2	1	no	—
318	C₂²×C₄	—	106	1	no	—
319	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
320	Q₁₆	—	53	2	no	—
321	Q₁₆	—	53	2	no	—
322	SD₁₆	—	53	2	no	—
323	SD₁₆	—	53	2	no	—
324	SD₁₆	—	53	2	no	—
325	SD₁₆	—	53	2	no	—
326	D₈	—	53	2	no	—
327	D₈	—	53	2	no	—
328	M₁₆	—	2	1	no	—
329	M₁₆	—	53	2	no	—
330	M₁₆	—	106	2	no	—
331	M₁₆	—	106	2	no	—
332	M₁₆	—	106	2	no	—
333	M₁₆	—	106	2	no	—
334	M₁₆	—	106	1	no	—
335	M₁₆	C₂²×#6157	1	2	yes	—
336	C₂×C₈	—	2	1	no	—
337	C₂×C₈	—	53	1	no	—
338	C₂×C₈	—	53	1	no	—
339	C₂×C₈	—	53	1	no	—
340	C₂×C₈	—	53	1	no	—
341	C₂×C₈	—	53	1	no	—
342	C₂×C₈	—	53	1	no	—
343	C₂×C₈	—	53	1	no	—
344	C₂×C₈	—	53	1	no	—
345	C₂×C₈	—	53	1	no	—
346	C₂×C₈	—	53	1	no	—
347	C₂×C₈	—	53	1	no	—
348	C₂×C₈	—	53	1	no	—
349	C₂×C₈	—	106	2	no	—
350	C₂×C₈	—	106	2	no	—
351	C₂×C₈	—	106	2	no	—
352	C₂×C₈	—	106	2	no	—
353	C₂×C₈	—	106	1	no	—
354	C₄²	—	2	1	no	—
355	C₄²	C₂²×#6157	1	1	yes	characteristic
356	C₄²	C₂²×#6157	1	1	yes	characteristic
357	C₁₆	—	53	4	no	—
358	C₁₆	—	106	2	no	—
359	C₁₆	—	106	2	no	—
360	C₁₆	—	106	2	no	—
361	C₂³	—	2	1	no	—
362	C₂³	—	106	1	no	—
363	C₂³	#13133304	1	1	yes	characteristic
364	Q₈	—	2	1	no	—
365	Q₈	—	53	2	no	—
366	Q₈	—	106	1	no	—
367	Q₈	C₂×D₅₃⋊C₈	1	2	yes	—
368	D₄	—	2	2	no	—
369	D₄	—	2	2	no	—
370	D₄	—	2	1	no	—
371	D₄	—	53	2	no	—
372	D₄	—	106	2	no	—
373	D₄	—	106	2	no	—
374	D₄	—	106	1	no	—
375	D₄	C₂×D₅₃⋊C₈	1	2	yes	—
376	C₂×C₄	—	2	1	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	2	1	no	—
381	C₂×C₄	—	4	2	no	—
382	C₂×C₄	—	106	1	no	—
383	C₂×C₄	—	106	2	no	—
384	C₂×C₄	—	106	2	no	—
385	C₂×C₄	D₄×#6157	1	1	yes	characteristic
386	C₂×C₄	D₄×#6157	1	1	yes	characteristic
387	C₂×C₄	C₂×D₅₃⋊C₈	1	1	yes	characteristic
388	C₂×C₄	C₂×D₅₃⋊C₈	1	1	yes	characteristic
389	C₂×C₄	#13133304	1	1	yes	characteristic
390	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
391	C₈	—	2	2	no	—
392	C₈	—	53	1	no	—
393	C₈	—	53	1	no	—
394	C₈	—	53	1	no	—
395	C₈	—	53	1	no	—
396	C₈	—	53	1	no	—
397	C₈	—	53	1	no	—
398	C₈	—	53	1	no	—
399	C₈	—	53	1	no	—
400	C₈	—	106	2	no	—
401	C₂²	—	2	2	no	—
402	C₂²	—	4	1	no	—
403	C₂²	—	8	1	no	—
404	C₂²	—	106	2	no	—
405	C₂²	—	424	1	no	—
406	C₂²	#16811650	1	1	yes	characteristic
407	C₂²	#16811650	1	1	yes	characteristic
408	C₂²	C₂×#13133304	1	1	yes	characteristic
409	C₄	—	2	2	no	—
410	C₄	—	2	2	no	—
411	C₄	—	4	1	no	—
412	C₄	—	106	2	no	—
413	C₄	#16811650	1	1	yes	characteristic
414	C₄	#16811650	1	1	yes	characteristic
415	C₄	C₂×D₄×#6157	1	1	yes	characteristic
416	C₄	C₂²×D₅₃⋊C₈	1	1	yes	characteristic
417	C₂	—	2	1	no	—
418	C₂	—	2	1	no	—
419	C₂	—	2	1	no	—
420	C₂	—	4	2	no	—
421	C₂	—	212	2	no	—
422	C₂	C₂×#16811650	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂×D₄×#6157
commutator	C₄×C₅₃	C₂³×C₈
Frattini	C₂×C₄	C₂³×#6157
Fitting	C₂×#104×C₅₃	C₄
socle	C₂×C₅₃	C₂×C₈×D₄
prime radical	C₂×#13133237	C₄
cosocle	C₂×#88322	C₂⁴
hypercenter	C₂×#104	#6157
hypocenter	C₅₃	#33443
LCS	G ▷ C₄×C₅₃ ▷ C₂×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ C₂×#104

Complements

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

N	H ≅ G/N	type
1. #20291684	C₂	semidirect
2. #20291682	C₂	semidirect
3. #20291106	C₂	semidirect
4. #20291103	C₂	semidirect
5. C₂×#16811546	C₂	semidirect
6. #20290959	C₂	semidirect
7. #20290957	C₂	semidirect
8. C₄×#13133291	C₂	semidirect
11. #16811682	C₂²	semidirect
13. #16811681	C₂²	semidirect
20. #16811546	C₂²	semidirect
21. #16811546	C₂²	semidirect
22. #16811522	C₂²	semidirect
23. #16811521	C₂²	semidirect
24. #16811511	C₂²	semidirect
25. C₄×#11719910	C₂²	semidirect
248. C₅₃	#33443	semidirect

Maximal subgroups

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

subgroup	index
#20291684	2
#20291682	2
#20291106	2
#20291103	2
C₂×#16811546	2
#20290959	2
#20290957	2
C₄×#13133291	2
C₂×#16810737	2
#33443	53