Subgroups — #33089417

Order 18688.

914 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17988634	C₂	1	1	yes	maximal, characteristic
2	#22618519	C₂	1	1	yes	maximal, characteristic
3	#22618492	C₂	1	2	yes	maximal
4	C₂×#17988539	C₂	1	1	yes	maximal, characteristic
5	#22610684	C₂	1	1	yes	maximal, characteristic, complemented
6	#22610683	C₂	1	2	yes	maximal, complemented
7	#22610680	C₂	1	1	yes	maximal, characteristic, complemented
8	#22610677	C₂	1	1	yes	maximal, characteristic, complemented
9	#22610676	C₂	1	2	yes	maximal, complemented
10	#339×D₇₃	C₂	1	2	yes	maximal
11	C₇₃×#1946	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#11924011	C₂²	1	1	yes	characteristic
13	C₂²×#11924011	C₂²	1	1	yes	characteristic
14	C₂×M₁₆×D₇₃	C₂²	1	2	yes	—
15	#117×D₇₃	C₂²	1	2	yes	—
16	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic
17	#17988634	—	2	4	no	—
18	C₂×#14556527	C₂²	1	1	yes	characteristic
19	C₂×#14556526	C₂²	1	2	yes	—
20	#17988628	C₄	1	4	yes	complemented
21	#17988626	C₄	1	4	yes	complemented
22	#17988625	C₂²	1	1	yes	characteristic
23	#17988623	C₂²	1	2	yes	—
24	#17988615	C₂²	1	2	yes	—
25	#17988614	C₂²	1	2	yes	—
26	#17988613	C₂²	1	2	yes	—
27	#17988612	—	2	4	no	—
28	#17988609	—	2	4	no	—
29	#17988539	—	2	4	no	—
30	C₂×#14556502	C₂²	1	1	yes	characteristic
31	C₂×C₈×Dic₇₃	C₂²	1	1	yes	characteristic
32	C₂×C₈×Dic₇₃	C₂²	1	1	yes	characteristic
33	#17988348	C₂²	1	2	yes	—
34	#17988347	C₂²	1	2	yes	—
35	#17988346	C₂²	1	2	yes	—
36	C₂×#108×C₇₃	C₂²	1	1	yes	characteristic
37	#427×C₇₃	C₂²	1	1	yes	characteristic
38	#424×C₇₃	C₂²	1	2	yes	—
39	C₂×#97×C₇₃	C₂²	1	1	yes	characteristic
40	#339×C₇₃	C₂²	1	2	yes	—
41	C₂²×C₄×D₇₃	—	2	1	no	—
42	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
43	C₂×#11924012	C₂³	1	2	yes	—
44	C₂×#11924011	—	2	2	no	—
45	C₂×#11924011	—	2	2	no	—
46	C₂×#11924011	—	2	2	no	—
47	C₂×#11924011	C₂×C₄	1	2	yes	—
48	C₂×#11924011	C₂×C₄	1	2	yes	—
49	C₂×#11924011	D₄	1	4	yes	—
50	C₂×#11924011	D₄	1	4	yes	—
51	C₂×#11924011	Q₈	1	4	yes	—
52	M₁₆×D₇₃	—	2	4	no	—
53	M₁₆×D₇₃	—	2	4	no	—
54	C₂²×#10596831	C₂³	1	1	yes	characteristic
55	C₂²×#10596831	C₂³	1	1	yes	characteristic
56	C₂×C₈×D₇₃	—	2	2	no	—
57	#14556550	C₂³	1	2	yes	—
58	#14556549	C₂×C₄	1	4	yes	—
59	#14556548	—	2	2	no	—
60	#14556547	—	2	2	no	—
61	C₄⋊C₄×D₇₃	C₂×C₄	1	4	yes	—
62	C₂²⋊C₄×D₇₃	—	2	2	no	—
63	C₂×C₄×Dic₇₃	—	2	1	no	—
64	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
65	C₄²×D₇₃	—	2	2	no	—
66	C₄²×D₇₃	—	2	2	no	—
67	C₄²×D₇₃	Q₈	1	4	yes	—
68	#14556527	—	2	2	no	—
69	#14556526	—	2	4	no	—
70	#14556525	C₂×C₄	1	2	yes	complemented
71	#14556524	C₂×C₄	1	4	yes	complemented
72	#14556523	C₂×C₄	1	2	yes	complemented
73	#14556522	C₂×C₄	1	4	yes	complemented
74	C₄⋊#10596831	—	2	4	no	—
75	#14556520	—	2	4	no	—
76	#14556520	—	2	4	no	—
77	#14556502	—	2	2	no	—
78	C₈×Dic₇₃	—	2	2	no	—
79	C₈×Dic₇₃	—	2	2	no	—
80	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
81	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
82	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
83	#117×C₇₃	C₂³	1	2	yes	—
84	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
85	#108×C₇₃	—	2	2	no	—
86	#107×C₇₃	C₂×C₄	1	2	yes	complemented
87	#106×C₇₃	C₂×C₄	1	2	yes	complemented
88	C₄⋊C₈×C₇₃	—	2	4	no	—
89	#97×C₇₃	—	2	2	no	—
90	C₂³×D₇₃	#41	1	1	yes	characteristic
91	C₂²×Dic₇₃	—	2	1	no	—
92	C₂²×Dic₇₃	#41	1	1	yes	characteristic
93	C₂×C₄×D₇₃	—	2	4	no	—
94	C₂×C₄×D₇₃	—	2	4	no	—
95	C₂×C₄×D₇₃	—	4	4	no	—
96	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
97	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
98	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
99	C₂×C₄×D₇₃	C₂×Q₈	1	2	yes	—
100	C₂×C₄×D₇₃	C₂×Q₈	1	2	yes	—
101	C₂×C₄×D₇₃	#41	1	2	yes	—
102	#11924012	—	2	2	no	—
103	#11924012	—	2	2	no	—
104	#11924011	—	2	8	no	—
105	#11924011	—	4	4	no	—
106	#11924011	C₄⋊C₄	1	8	yes	—
107	#11924011	C₄⋊C₄	1	8	yes	—
108	C₂×#10596831	—	2	1	no	—
109	C₂×#10596831	—	2	1	no	—
110	C₂×#10596831	—	2	2	no	—
111	C₂×#10596831	C₂²×C₄	1	2	yes	—
112	C₂×#10596831	C₂×D₄	1	2	yes	—
113	C₂×#10596831	C₂×D₄	1	2	yes	—
114	C₂×#10596831	C₂×Q₈	1	2	yes	—
115	C₈×D₇₃	—	4	4	no	—
116	C₄⋊Dic₇₃	C₂²×C₄	1	4	yes	—
117	#11924007	—	2	4	no	—
118	C₂²⋊Dic₇₃	—	2	2	no	—
119	#11924005	—	2	4	no	—
120	C₄×Dic₇₃	—	2	1	no	—
121	C₄×Dic₇₃	—	2	2	no	—
122	C₄×Dic₇₃	—	2	4	no	—
123	C₄×Dic₇₃	—	2	4	no	—
124	C₄×Dic₇₃	C₂×Q₈	1	2	yes	—
125	C₂²×C₄×C₇₃	—	2	1	no	—
126	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
127	M₁₆×C₇₃	—	2	2	no	—
128	M₁₆×C₇₃	—	2	2	no	—
129	C₂×C₈×C₇₃	—	2	1	no	—
130	C₂×C₈×C₇₃	—	2	1	no	—
131	C₂×C₈×C₇₃	—	2	2	no	—
132	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
133	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
134	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
135	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
136	C₂×C₈×C₇₃	C₂×Q₈	1	2	yes	—
137	C₄⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
138	C₂²⋊C₄×C₇₃	—	2	2	no	—
139	C₄²×C₇₃	—	2	1	no	—
140	C₄²×C₇₃	—	2	2	no	—
141	C₄²×C₇₃	C₂×Q₈	1	2	yes	—
142	C₂³×C₇₃	C₂×#41	1	1	yes	characteristic
143	C₂²×D₇₃	—	4	2	no	—
144	C₂²×D₇₃	C₄×D₄	1	2	yes	—
145	C₂²×D₇₃	C₂²⋊Q₈	1	2	yes	—
146	C₂²×D₇₃	#125	1	2	yes	—
147	C₂×C₄×C₇₃	—	2	4	no	—
148	C₂×C₄×C₇₃	—	2	2	no	—
149	C₂×C₄×C₇₃	—	4	2	no	—
150	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
151	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
152	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
153	C₂×C₄×C₇₃	C₂²×Q₈	1	1	yes	characteristic
154	C₂×C₄×C₇₃	C₂²×Q₈	1	1	yes	characteristic
155	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
156	C₂×Dic₇₃	—	2	4	no	—
157	C₂×Dic₇₃	—	2	2	no	—
158	C₂×Dic₇₃	—	2	4	no	—
159	C₂×Dic₇₃	C₄×D₄	1	2	yes	—
160	C₂×Dic₇₃	C₂²⋊Q₈	1	2	yes	—
161	C₂×Dic₇₃	#125	1	2	yes	—
162	C₄×D₇₃	—	4	8	no	—
163	C₄×D₇₃	—	8	4	no	—
164	C₄×D₇₃	C₂×C₄⋊C₄	1	4	yes	—
165	C₄×D₇₃	C₄×Q₈	1	4	yes	—
166	C₄×D₇₃	#121	1	4	yes	—
167	C₄×D₇₃	C₄⋊Q₈	1	4	yes	—
168	C₈×C₇₃	—	2	2	no	—
169	C₈×C₇₃	—	4	2	no	—
170	C₈×C₇₃	C₂×C₄⋊C₄	1	2	yes	—
171	C₈×C₇₃	C₂×C₄⋊C₄	1	2	yes	—
172	#10596831	—	2	2	no	—
173	#10596831	—	4	2	no	—
174	#10596831	C₂×C₄⋊C₄	1	4	yes	—
175	C₂²×C₇₃	—	2	2	no	—
176	C₂²×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
177	C₂²×C₇₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
178	C₂²×C₇₃	C₂×#125	1	1	yes	characteristic
179	C₂×D₇₃	—	2	4	no	—
180	C₂×D₇₃	—	4	2	no	—
181	C₂×D₇₃	—	4	2	no	—
182	C₂×D₇₃	#389	1	4	yes	—
183	C₄×C₇₃	—	4	2	no	—
184	C₄×C₇₃	—	4	4	no	—
185	C₄×C₇₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
186	C₄×C₇₃	C₂×C₄×Q₈	1	1	yes	characteristic
187	C₄×C₇₃	C₂×#121	1	1	yes	characteristic
188	C₄×C₇₃	C₂×C₄⋊Q₈	1	1	yes	characteristic
189	Dic₇₃	—	2	4	no	—
190	Dic₇₃	—	4	4	no	—
191	Dic₇₃	#389	1	4	yes	—
192	#21165	—	73	1	no	maximal, Sylow
193	C₂×C₇₃	—	2	1	no	—
194	C₂×C₇₃	—	2	1	no	—
195	C₂×C₇₃	C₂×#389	1	1	yes	characteristic
196	C₂×C₇₃	#2956	1	2	yes	—
197	D₇₃	—	2	4	no	—
198	C₂×#430	—	73	1	no	—
199	#2911	—	73	1	no	—
200	#2905	—	73	2	no	—
201	C₂×C₄×M₁₆	—	73	1	no	—
202	#1946	—	73	1	no	—
203	#1946	—	73	2	no	—
204	#1946	D₇₃	1	1	yes	characteristic, complemented
205	#1945	—	73	1	no	—
206	#1945	—	73	1	no	—
207	#1945	—	73	2	no	—
208	C₂×#339	—	73	2	no	—
209	C₇₃	#21165	1	1	yes	characteristic, complemented, Sylow
210	C₂²×M₁₆	—	73	1	no	—
211	C₂²×M₁₆	—	73	1	no	—
212	C₂²×M₁₆	—	73	2	no	—
213	C₂×#117	—	73	2	no	—
214	C₂²×C₄²	—	73	1	no	—
215	#430	—	146	4	no	—
216	C₂×#108	—	73	2	no	—
217	C₂×#108	—	73	1	no	—
218	C₂×#108	C₂×D₇₃	1	1	yes	characteristic
219	#428	—	73	4	no	—
220	#428	—	73	4	no	—
221	#427	—	73	1	no	—
222	#427	—	73	2	no	—
223	#427	C₂×D₇₃	1	1	yes	characteristic
224	#424	—	73	2	no	—
225	#424	—	73	2	no	—
226	#424	—	73	2	no	—
227	#424	—	146	4	no	—
228	#424	C₂×D₇₃	1	2	yes	—
229	#423	—	146	4	no	—
230	C₄×M₁₆	—	146	4	no	—
231	C₂×#97	—	73	1	no	—
232	C₂×#97	C₂×D₇₃	1	1	yes	characteristic
233	C₂×C₄×C₈	—	73	1	no	—
234	C₂×C₄×C₈	—	73	1	no	—
235	#339	—	73	2	no	—
236	#339	—	73	2	no	—
237	#339	—	73	2	no	—
238	#339	C₂×D₇₃	1	2	yes	—
239	C₂³×C₄	—	73	1	no	—
240	C₂³×C₄	—	146	1	no	—
241	C₂×M₁₆	—	73	2	no	—
242	C₂×M₁₆	—	73	2	no	—
243	C₂×M₁₆	—	73	4	no	—
244	C₂×M₁₆	—	73	4	no	—
245	C₂×M₁₆	—	73	4	no	—
246	C₂×M₁₆	—	73	2	no	—
247	C₂×M₁₆	—	146	2	no	—
248	C₂×M₁₆	—	146	2	no	—
249	C₂×M₁₆	—	146	2	no	—
250	C₂×M₁₆	—	146	4	no	—
251	C₂×M₁₆	—	146	4	no	—
252	C₂×M₁₆	C₂²×D₇₃	1	2	yes	—
253	C₂²×C₈	—	73	1	no	—
254	C₂²×C₈	—	73	1	no	—
255	C₂²×C₈	—	146	2	no	—
256	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
257	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
258	#117	—	73	2	no	—
259	#117	—	73	4	no	—
260	#117	—	146	2	no	—
261	#117	—	146	2	no	—
262	#117	C₂²×D₇₃	1	2	yes	—
263	C₂×C₄⋊C₄	—	73	4	no	—
264	C₂×C₂²⋊C₄	—	146	2	no	—
265	C₂×C₄²	—	73	1	no	—
266	C₂×C₄²	—	73	4	no	—
267	C₂×C₄²	—	146	2	no	—
268	C₂×C₄²	—	146	2	no	—
269	C₂×C₄²	—	146	1	no	—
270	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
271	#108	—	2	2	no	—
272	#108	—	146	4	no	—
273	#108	—	146	2	no	—
274	#107	—	73	2	no	—
275	#107	—	73	4	no	—
276	#107	C₄×D₇₃	1	2	yes	complemented
277	#106	—	73	2	no	—
278	#106	—	73	4	no	—
279	#106	C₄×D₇₃	1	2	yes	complemented
280	C₄⋊C₈	—	2	4	no	—
281	C₄⋊C₈	—	146	4	no	—
282	C₄⋊C₈	—	146	4	no	—
283	C₄⋊C₈	—	146	4	no	—
284	#97	—	2	2	no	—
285	#97	—	146	2	no	—
286	C₄×C₈	—	146	2	no	—
287	C₄×C₈	—	146	2	no	—
288	C₂⁴	—	73	1	no	—
289	C₂²×C₄	—	2	1	no	—
290	C₂²×C₄	—	292	4	no	—
291	C₂²×C₄	—	73	1	no	—
292	C₂²×C₄	—	73	2	no	—
293	C₂²×C₄	—	73	2	no	—
294	C₂²×C₄	—	73	2	no	—
295	C₂²×C₄	—	73	2	no	—
296	C₂²×C₄	—	73	2	no	—
297	C₂²×C₄	—	73	2	no	—
298	C₂²×C₄	—	146	4	no	—
299	C₂²×C₄	—	146	4	no	—
300	C₂²×C₄	—	146	1	no	—
301	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
302	M₁₆	—	2	2	no	—
303	M₁₆	—	2	2	no	—
304	M₁₆	—	292	4	no	—
305	M₁₆	—	73	8	no	—
306	M₁₆	—	73	8	no	—
307	M₁₆	—	146	8	no	—
308	M₁₆	—	146	2	no	—
309	M₁₆	—	146	2	no	—
310	C₂×C₈	—	2	1	no	—
311	C₂×C₈	—	2	1	no	—
312	C₂×C₈	—	2	2	no	—
313	C₂×C₈	—	292	4	no	—
314	C₂×C₈	—	73	2	no	—
315	C₂×C₈	—	73	2	no	—
316	C₂×C₈	—	73	2	no	—
317	C₂×C₈	—	73	2	no	—
318	C₂×C₈	—	146	2	no	—
319	C₂×C₈	—	146	1	no	—
320	C₂×C₈	—	146	1	no	—
321	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
322	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
323	C₂×C₈	D₄×D₇₃	1	2	yes	—
324	C₂×C₈	D₄×D₇₃	1	2	yes	—
325	C₂×C₈	Q₈×D₇₃	1	2	yes	—
326	C₄⋊C₄	—	73	4	no	—
327	C₄⋊C₄	—	146	4	no	—
328	C₄⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
329	C₂²⋊C₄	—	2	2	no	—
330	C₂²⋊C₄	—	146	4	no	—
331	C₂²⋊C₄	—	146	2	no	—
332	C₄²	—	2	1	no	—
333	C₄²	—	2	2	no	—
334	C₄²	—	73	2	no	—
335	C₄²	—	146	4	no	—
336	C₄²	—	146	4	no	—
337	C₄²	—	146	1	no	—
338	C₄²	—	146	2	no	—
339	C₄²	Q₈×D₇₃	1	2	yes	—
340	C₂³	—	292	2	no	—
341	C₂³	—	73	2	no	—
342	C₂³	—	73	2	no	—
343	C₂³	—	73	2	no	—
344	C₂³	#41×D₇₃	1	1	yes	characteristic
345	C₂×C₄	—	2	4	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	292	8	no	—
349	C₂×C₄	—	584	4	no	—
350	C₂×C₄	—	73	2	no	—
351	C₂×C₄	—	73	2	no	—
352	C₂×C₄	—	73	2	no	—
353	C₂×C₄	—	73	4	no	—
354	C₂×C₄	—	73	4	no	—
355	C₂×C₄	—	73	4	no	—
356	C₂×C₄	—	73	4	no	—
357	C₂×C₄	—	146	4	no	—
358	C₂×C₄	—	146	4	no	—
359	C₂×C₄	—	146	2	no	—
360	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
361	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
362	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
363	C₂×C₄	C₂×Q₈×D₇₃	1	1	yes	characteristic
364	C₂×C₄	C₂×Q₈×D₇₃	1	1	yes	characteristic
365	C₂×C₄	#41×D₇₃	1	1	yes	characteristic
366	C₈	—	2	2	no	—
367	C₈	—	4	2	no	—
368	C₈	—	292	2	no	—
369	C₈	—	73	4	no	—
370	C₈	—	146	2	no	—
371	C₈	C₄⋊C₄×D₇₃	1	2	yes	—
372	C₈	C₄⋊C₄×D₇₃	1	2	yes	—
373	C₂²	—	2	2	no	—
374	C₂²	—	292	2	no	—
375	C₂²	—	292	2	no	—
376	C₂²	—	73	4	no	—
377	C₂²	—	146	4	no	—
378	C₂²	C₄×D₄×D₇₃	1	1	yes	characteristic
379	C₂²	C₂²⋊Q₈×D₇₃	1	1	yes	characteristic
380	C₂²	#125×D₇₃	1	1	yes	characteristic
381	C₄	—	4	2	no	—
382	C₄	—	4	4	no	—
383	C₄	—	292	4	no	—
384	C₄	—	73	4	no	—
385	C₄	—	146	4	no	—
386	C₄	C₂×C₄⋊C₄×D₇₃	1	1	yes	characteristic
387	C₄	C₄×Q₈×D₇₃	1	1	yes	characteristic
388	C₄	#121×D₇₃	1	1	yes	characteristic
389	C₄	C₄⋊Q₈×D₇₃	1	1	yes	characteristic
390	C₂	—	2	1	no	—
391	C₂	—	2	1	no	—
392	C₂	—	146	4	no	—
393	C₂	#389×D₇₃	1	1	yes	characteristic
394	C₂	#22618839	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₇₃
commutator	C₂×C₄×C₇₃	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₇₃
Fitting	C₇₃×#1946	C₂
socle	C₂²×C₇₃	C₂×C₄×D₄
prime radical	C₂³×D₇₃	#41
cosocle	C₂²×C₄×C₇₃	C₂⁴
hypercenter	#1946	D₇₃
hypocenter	C₇₃	#21165
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₈ ◁ #1946

Complements

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

N	H ≅ G/N	type
5. #22610684	C₂	semidirect
6. #22610683	C₂	semidirect
7. #22610680	C₂	semidirect
8. #22610677	C₂	semidirect
9. #22610676	C₂	semidirect
11. C₇₃×#1946	C₂	semidirect
20. #17988628	C₄	semidirect
21. #17988626	C₄	semidirect
70. #14556525	C₂×C₄	semidirect
71. #14556524	C₂×C₄	semidirect
72. #14556523	C₂×C₄	semidirect
73. #14556522	C₂×C₄	semidirect
86. #107×C₇₃	C₂×C₄	semidirect
87. #106×C₇₃	C₂×C₄	semidirect
204. #1946	D₇₃	semidirect
209. C₇₃	#21165	semidirect
276. #107	C₄×D₇₃	semidirect
279. #106	C₄×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#17988634	2
#22618519	2
#22618492	2
C₂×#17988539	2
#22610684	2
#22610683	2
#22610680	2
#22610677	2
#22610676	2
#339×D₇₃	2
C₇₃×#1946	2
#21165	73