Subgroups — #33073987

Order 18688.

750 conjugacy classes of subgroups.

The subgroup lattice has 432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22621072	C₂	1	1	yes	maximal, characteristic, complemented
2	#22620869	C₂	1	1	yes	maximal, characteristic
3	#22620313	C₂	1	1	yes	maximal, characteristic, complemented
4	#22620307	C₂	1	1	yes	maximal, characteristic
5	C₂×#17988934	C₂	1	1	yes	maximal, characteristic
6	#22609594	C₂	1	2	yes	maximal, complemented
7	#22609587	C₂	1	2	yes	maximal, complemented
8	#22609544	C₂	1	2	yes	maximal, complemented
9	#22609534	C₂	1	2	yes	maximal, complemented
10	C₈×#11924012	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#3170	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14556591	C₂²	1	1	yes	characteristic
13	C₂×#14556588	C₂²	1	1	yes	characteristic
14	#17988983	C₂²	1	2	yes	complemented
15	#17988961	C₂²	1	2	yes	—
16	#17988957	—	2	2	no	—
17	#17988953	—	2	2	no	—
18	#17988939	C₂²	1	2	yes	complemented
19	#17988939	C₂²	1	2	yes	complemented
20	#17988937	C₂²	1	2	yes	complemented
21	#17988935	C₂²	1	2	yes	—
22	#17988935	C₂²	1	2	yes	—
23	#17988935	C₂²	1	2	yes	—
24	#17988934	—	2	2	no	—
25	#17988934	C₂²	1	2	yes	—
26	#17988934	C₂²	1	2	yes	—
27	#17988915	—	2	2	no	—
28	#17988872	—	2	2	no	—
29	#17988787	—	2	2	no	—
30	#17988737	—	2	2	no	—
31	#17988640	C₂²	1	1	yes	characteristic
32	#17988595	—	2	2	no	—
33	#17988591	—	2	2	no	—
34	C₂×#14556513	—	2	2	no	—
35	C₄×#11924012	C₂²	1	1	yes	characteristic
36	#17988309	C₂²	1	2	yes	complemented
37	C₈×#10596831	C₂²	1	2	yes	complemented
38	#533×C₇₃	C₂²	1	1	yes	characteristic
39	#533×C₇₃	C₂²	1	1	yes	characteristic
40	#500×C₇₃	C₂²	1	1	yes	characteristic, complemented
41	#494×C₇₃	C₂²	1	1	yes	characteristic, complemented
42	#487×C₇₃	C₂²	1	1	yes	characteristic, complemented
43	#487×C₇₃	C₂²	1	1	yes	characteristic, complemented
44	#467×C₇₃	—	2	2	no	—
45	C₄×Q₁₆×C₇₃	—	2	2	no	—
46	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
47	C₂²×Dic₁₄₆	—	2	1	no	—
48	C₂²×D₂₉₂	—	2	1	no	—
49	C₂²×D₂₉₂	—	2	1	no	—
50	C₂²×D₂₉₂	—	2	1	no	—
51	C₂×#11924015	—	2	4	no	—
52	C₂×#11924012	D₄	1	2	yes	—
53	#14556591	—	2	1	no	—
54	#14556591	—	2	1	no	—
55	#14556591	—	2	1	no	—
56	#14556591	C₂³	1	2	yes	—
57	#14556588	—	2	1	no	—
58	#14556588	—	2	1	no	—
59	#14556588	—	2	1	no	—
60	#14556588	C₂³	1	2	yes	—
61	C₂×C₄⋊Dic₇₃	—	2	1	no	—
62	C₂×C₄⋊Dic₇₃	—	2	1	no	—
63	#14556522	—	2	4	no	—
64	C₄⋊#10596831	D₄	1	2	yes	—
65	#14556515	—	2	4	no	—
66	#14556514	—	2	4	no	—
67	#14556514	—	2	4	no	—
68	#14556513	—	2	4	no	—
69	#14556513	—	2	4	no	—
70	#14556511	—	2	4	no	—
71	#14556511	—	2	4	no	—
72	#14556511	—	2	4	no	—
73	C₂²⋊#10596831	D₄	1	2	yes	—
74	#14556502	D₄	1	2	yes	—
75	C₄×#10596831	C₂³	1	2	yes	—
76	C₄×#10596831	C₂³	1	2	yes	—
77	C₂×Q₁₆×C₇₃	—	2	2	no	—
78	C₂²×C₈×C₇₃	D₄	1	2	yes	—
79	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
80	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
81	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
82	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
83	#125×C₇₃	—	2	1	no	—
84	#125×C₇₃	—	2	1	no	—
85	C₂²⋊Q₈×C₇₃	—	2	1	no	—
86	C₂²⋊Q₈×C₇₃	—	2	1	no	—
87	C₂²⋊Q₈×C₇₃	—	2	1	no	—
88	C₂²⋊Q₈×C₇₃	—	2	1	no	—
89	C₄×Q₈×C₇₃	—	2	1	no	—
90	C₄×Q₈×C₇₃	—	2	1	no	—
91	C₄×Q₈×C₇₃	—	2	1	no	—
92	C₄×Q₈×C₇₃	—	2	1	no	—
93	#117×C₇₃	—	2	1	no	—
94	#117×C₇₃	—	2	1	no	—
95	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
96	#107×C₇₃	—	2	2	no	—
97	#103×C₇₃	—	2	2	no	—
98	#103×C₇₃	—	2	2	no	—
99	C₄×C₈×C₇₃	D₄	1	2	yes	—
100	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
101	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
102	C₂³×D₇₃	—	4	1	no	—
103	C₂×Dic₁₄₆	—	2	2	no	—
104	C₂×Dic₁₄₆	—	4	4	no	—
105	C₂×Dic₁₄₆	—	4	1	no	—
106	C₂×D₂₉₂	—	2	2	no	—
107	C₂×D₂₉₂	—	2	2	no	—
108	C₂×D₂₉₂	—	2	2	no	—
109	C₂×D₂₉₂	—	4	4	no	—
110	C₂×D₂₉₂	—	4	4	no	—
111	C₂×D₂₉₂	—	4	1	no	—
112	C₂×D₂₉₂	—	4	1	no	—
113	C₂×D₂₉₂	—	4	1	no	—
114	C₂×D₂₉₂	—	8	2	no	—
115	C₂²×Dic₇₃	—	4	1	no	—
116	#11924015	—	8	4	no	—
117	#11924012	—	2	4	no	—
118	C₂×#10596831	C₂×D₄	1	4	yes	—
119	C₂×#10596831	C₂×D₄	1	4	yes	—
120	C₄⋊Dic₇₃	—	2	2	no	—
121	C₄⋊Dic₇₃	—	2	2	no	—
122	C₄⋊Dic₇₃	—	4	1	no	—
123	C₄⋊Dic₇₃	—	4	1	no	—
124	C₂×Q₈×C₇₃	—	2	1	no	—
125	C₂×Q₈×C₇₃	—	2	1	no	—
126	C₂×Q₈×C₇₃	—	2	1	no	—
127	C₂×Q₈×C₇₃	—	2	1	no	—
128	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
129	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
130	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
131	Q₁₆×C₇₃	—	4	4	no	—
132	C₂×C₈×C₇₃	—	4	2	no	—
133	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
134	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
135	C₄⋊C₄×C₇₃	—	2	1	no	—
136	C₄⋊C₄×C₇₃	—	2	1	no	—
137	C₄⋊C₄×C₇₃	—	2	1	no	—
138	C₄⋊C₄×C₇₃	—	2	1	no	—
139	C₄⋊C₄×C₇₃	—	2	1	no	—
140	C₄⋊C₄×C₇₃	—	2	1	no	—
141	C₄⋊C₄×C₇₃	—	2	1	no	—
142	C₄⋊C₄×C₇₃	—	2	1	no	—
143	C₄⋊C₄×C₇₃	—	4	1	no	—
144	C₄⋊C₄×C₇₃	—	4	1	no	—
145	C₄⋊C₄×C₇₃	—	4	1	no	—
146	C₄⋊C₄×C₇₃	—	4	1	no	—
147	C₂²⋊C₄×C₇₃	—	4	1	no	—
148	C₂²⋊C₄×C₇₃	—	4	1	no	—
149	C₄²×C₇₃	—	4	1	no	—
150	C₄²×C₇₃	—	4	1	no	—
151	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
152	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
153	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
154	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
155	C₂³×C₇₃	#127	1	1	yes	characteristic
156	C₂²×D₇₃	—	4	2	no	—
157	C₂²×D₇₃	—	8	2	no	—
158	C₂²×D₇₃	—	8	2	no	—
159	C₂²×D₇₃	—	8	2	no	—
160	Q₈×C₇₃	—	4	2	no	—
161	Q₈×C₇₃	—	4	2	no	—
162	Q₈×C₇₃	—	4	2	no	—
163	Q₈×C₇₃	—	4	2	no	—
164	C₂×C₄×C₇₃	—	2	2	no	—
165	C₂×C₄×C₇₃	—	2	2	no	—
166	C₂×C₄×C₇₃	—	4	1	no	—
167	C₂×C₄×C₇₃	—	4	1	no	—
168	C₂×C₄×C₇₃	—	4	1	no	—
169	C₂×C₄×C₇₃	—	4	1	no	—
170	C₂×C₄×C₇₃	#127	1	1	yes	characteristic
171	C₂×C₄×C₇₃	#127	1	1	yes	characteristic
172	C₂×C₄×C₇₃	#127	1	1	yes	characteristic
173	C₂×C₄×C₇₃	#135	1	4	yes	—
174	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
175	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
176	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
177	C₂×Dic₇₃	—	4	2	no	—
178	C₂×Dic₇₃	—	8	2	no	—
179	D₂₉₂	—	4	4	no	—
180	D₂₉₂	—	4	4	no	—
181	D₂₉₂	—	4	4	no	—
182	D₂₉₂	—	8	2	no	—
183	D₂₉₂	—	8	2	no	—
184	D₂₉₂	—	8	2	no	—
185	Dic₁₄₆	—	4	4	no	—
186	Dic₁₄₆	—	8	2	no	—
187	C₈×C₇₃	—	2	2	no	—
188	C₈×C₇₃	—	2	2	no	—
189	#10596831	—	2	4	no	—
190	#10596831	—	2	4	no	—
191	C₂²×C₇₃	—	2	1	no	—
192	C₂²×C₇₃	—	2	1	no	—
193	C₂²×C₇₃	#495	1	2	yes	—
194	C₂²×C₇₃	C₂×#127	1	1	yes	characteristic
195	C₂×D₇₃	—	8	2	no	—
196	C₂×D₇₃	—	8	2	no	—
197	C₂×D₇₃	—	8	2	no	—
198	C₂×D₇₃	—	16	4	no	—
199	C₄×C₇₃	—	2	1	no	—
200	C₄×C₇₃	—	2	1	no	—
201	C₄×C₇₃	—	8	1	no	—
202	C₄×C₇₃	—	8	1	no	—
203	C₄×C₇₃	—	8	1	no	—
204	C₄×C₇₃	—	8	1	no	—
205	C₄×C₇₃	#495	1	2	yes	—
206	C₄×C₇₃	C₂×#135	1	2	yes	—
207	C₄×C₇₃	#575	1	2	yes	—
208	C₄×C₇₃	#577	1	2	yes	—
209	Dic₇₃	—	8	2	no	—
210	#19637	—	73	1	no	maximal, Sylow
211	C₂×C₇₃	—	2	2	no	—
212	C₂×C₇₃	C₂×#495	1	1	yes	characteristic
213	C₂×C₇₃	#3153	1	1	yes	characteristic
214	C₂×C₇₃	#3154	1	1	yes	characteristic
215	D₇₃	—	16	2	no	—
216	#3229	—	73	1	no	—
217	#3208	—	73	1	no	—
218	#3170	D₇₃	1	1	yes	characteristic, complemented
219	#3139	—	73	1	no	—
220	#3138	—	73	1	no	—
221	C₂×#486	—	73	1	no	—
222	#1720	—	73	2	no	—
223	#1719	—	73	2	no	—
224	#1711	—	73	2	no	—
225	#1708	—	73	2	no	—
226	C₈×M₁₆	—	73	1	no	—
227	C₇₃	#19637	1	1	yes	characteristic, complemented, Sylow
228	#533	C₂×D₇₃	1	1	yes	characteristic
229	#533	C₂×D₇₃	1	1	yes	characteristic
230	C₂×C₄⋊Q₈	—	73	1	no	—
231	C₂×#127	—	73	1	no	—
232	#500	C₂×D₇₃	1	1	yes	characteristic, complemented
233	#498	—	73	2	no	—
234	#494	C₂×D₇₃	1	1	yes	characteristic, complemented
235	#492	—	73	2	no	—
236	#491	—	146	2	no	—
237	#490	—	146	2	no	—
238	#487	—	73	2	no	—
239	#487	—	73	2	no	—
240	#487	—	73	2	no	—
241	#487	C₂×D₇₃	1	1	yes	characteristic, complemented
242	#487	C₂×D₇₃	1	1	yes	characteristic, complemented
243	#486	—	73	2	no	—
244	#486	—	73	2	no	—
245	#486	—	73	2	no	—
246	#486	—	73	2	no	—
247	#486	—	73	2	no	—
248	#486	—	146	2	no	—
249	#483	—	146	2	no	—
250	#475	—	146	2	no	—
251	#467	—	2	2	no	—
252	#460	—	146	2	no	—
253	#450	—	146	2	no	—
254	C₄×Q₁₆	—	2	2	no	—
255	#431	—	73	1	no	—
256	#419	—	146	2	no	—
257	#418	—	146	2	no	—
258	C₂×#102	—	146	2	no	—
259	C₄×M₁₆	—	73	1	no	—
260	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
261	#322	—	73	2	no	—
262	C₈²	—	73	2	no	—
263	C₂²×Q₈	—	146	1	no	—
264	C₂²×D₄	—	146	1	no	—
265	C₂²×D₄	—	146	1	no	—
266	C₂²×D₄	—	146	1	no	—
267	C₂×Q₁₆	—	2	2	no	—
268	C₂×SD₁₆	—	146	4	no	—
269	C₂×M₁₆	—	73	2	no	—
270	C₂²×C₈	C₂²⋊D₇₃	1	2	yes	—
271	C₄⋊Q₈	—	73	2	no	—
272	C₄⋊Q₈	—	146	1	no	—
273	C₄⋊Q₈	—	146	1	no	—
274	C₄⋊Q₈	—	146	1	no	—
275	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
276	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
277	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
278	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
279	#127	—	73	2	no	—
280	#127	—	146	1	no	—
281	#127	—	146	1	no	—
282	#127	—	146	1	no	—
283	#125	—	2	1	no	—
284	#125	—	2	1	no	—
285	C₂²⋊Q₈	—	2	1	no	—
286	C₂²⋊Q₈	—	2	1	no	—
287	C₂²⋊Q₈	—	2	1	no	—
288	C₂²⋊Q₈	—	2	1	no	—
289	C₄×Q₈	—	2	1	no	—
290	C₄×Q₈	—	2	1	no	—
291	C₄×Q₈	—	2	1	no	—
292	C₄×Q₈	—	2	1	no	—
293	#117	—	2	1	no	—
294	#117	—	2	1	no	—
295	C₂×C₄⋊C₄	—	146	1	no	—
296	C₂×C₄⋊C₄	—	146	1	no	—
297	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
298	#107	—	2	2	no	—
299	#106	—	146	4	no	—
300	C₄⋊C₈	—	73	2	no	—
301	#103	—	2	2	no	—
302	#103	—	2	2	no	—
303	#103	—	146	4	no	—
304	#103	—	146	4	no	—
305	#103	—	146	4	no	—
306	#102	—	146	4	no	—
307	#102	—	146	4	no	—
308	#102	—	146	4	no	—
309	#102	—	146	4	no	—
310	#102	—	146	4	no	—
311	C₂²⋊C₈	—	73	2	no	—
312	#97	—	73	2	no	—
313	C₄×C₈	—	73	2	no	—
314	C₄×C₈	—	73	2	no	—
315	C₄×C₈	C₂²⋊D₇₃	1	2	yes	—
316	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
317	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
318	C₂⁴	—	292	1	no	—
319	C₂×Q₈	—	2	1	no	—
320	C₂×Q₈	—	2	1	no	—
321	C₂×Q₈	—	2	1	no	—
322	C₂×Q₈	—	2	1	no	—
323	C₂×Q₈	—	292	1	no	—
324	C₂×Q₈	—	292	4	no	—
325	C₂×Q₈	—	146	2	no	—
326	C₂×D₄	—	292	4	no	—
327	C₂×D₄	—	292	1	no	—
328	C₂×D₄	—	292	1	no	—
329	C₂×D₄	—	292	1	no	—
330	C₂×D₄	—	292	4	no	—
331	C₂×D₄	—	584	2	no	—
332	C₂×D₄	—	146	2	no	—
333	C₂×D₄	—	146	2	no	—
334	C₂×D₄	—	146	2	no	—
335	C₂²×C₄	—	292	1	no	—
336	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
337	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
338	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
339	Q₁₆	—	4	4	no	—
340	SD₁₆	—	584	4	no	—
341	M₁₆	—	146	4	no	—
342	C₂×C₈	—	4	2	no	—
343	C₂×C₈	—	73	4	no	—
344	C₂×C₈	—	73	4	no	—
345	C₂×C₈	C₂×C₂²⋊D₇₃	1	2	yes	—
346	C₂×C₈	C₂×C₂²⋊D₇₃	1	2	yes	—
347	C₄⋊C₄	—	2	1	no	—
348	C₄⋊C₄	—	2	1	no	—
349	C₄⋊C₄	—	2	1	no	—
350	C₄⋊C₄	—	2	1	no	—
351	C₄⋊C₄	—	2	1	no	—
352	C₄⋊C₄	—	2	1	no	—
353	C₄⋊C₄	—	2	1	no	—
354	C₄⋊C₄	—	2	1	no	—
355	C₄⋊C₄	—	4	1	no	—
356	C₄⋊C₄	—	4	1	no	—
357	C₄⋊C₄	—	4	1	no	—
358	C₄⋊C₄	—	4	1	no	—
359	C₄⋊C₄	—	292	1	no	—
360	C₄⋊C₄	—	292	1	no	—
361	C₄⋊C₄	—	146	2	no	—
362	C₄⋊C₄	—	146	2	no	—
363	C₂²⋊C₄	—	4	1	no	—
364	C₂²⋊C₄	—	4	1	no	—
365	C₄²	—	4	1	no	—
366	C₄²	—	4	1	no	—
367	C₄²	D₄×D₇₃	1	1	yes	characteristic
368	C₄²	D₄×D₇₃	1	1	yes	characteristic
369	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
370	C₄²	C₂³×D₇₃	1	1	yes	characteristic
371	C₂³	—	292	2	no	—
372	C₂³	—	584	2	no	—
373	C₂³	—	584	2	no	—
374	C₂³	—	584	2	no	—
375	C₂³	#14556587	1	1	yes	characteristic
376	Q₈	—	4	2	no	—
377	Q₈	—	4	2	no	—
378	Q₈	—	4	2	no	—
379	Q₈	—	4	2	no	—
380	Q₈	—	292	4	no	—
381	Q₈	—	584	2	no	—
382	D₄	—	292	4	no	—
383	D₄	—	292	4	no	—
384	D₄	—	292	4	no	—
385	D₄	—	584	2	no	—
386	D₄	—	584	2	no	—
387	D₄	—	584	2	no	—
388	C₂×C₄	—	2	2	no	—
389	C₂×C₄	—	2	2	no	—
390	C₂×C₄	—	4	1	no	—
391	C₂×C₄	—	4	1	no	—
392	C₂×C₄	—	4	1	no	—
393	C₂×C₄	—	4	1	no	—
394	C₂×C₄	—	292	2	no	—
395	C₂×C₄	—	584	2	no	—
396	C₂×C₄	#14556587	1	1	yes	characteristic
397	C₂×C₄	#14556587	1	1	yes	characteristic
398	C₂×C₄	#14556587	1	1	yes	characteristic
399	C₂×C₄	#14556614	1	4	yes	—
400	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
401	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
402	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
403	C₈	—	2	2	no	—
404	C₈	—	2	2	no	—
405	C₈	—	146	4	no	—
406	C₈	—	146	4	no	—
407	C₂²	—	2	1	no	—
408	C₂²	—	2	1	no	—
409	C₂²	—	584	2	no	—
410	C₂²	—	584	2	no	—
411	C₂²	—	584	2	no	—
412	C₂²	—	1168	4	no	—
413	C₂²	#17988972	1	2	yes	—
414	C₂²	C₂×#14556587	1	1	yes	characteristic
415	C₄	—	2	1	no	—
416	C₄	—	2	1	no	—
417	C₄	—	8	1	no	—
418	C₄	—	8	1	no	—
419	C₄	—	8	1	no	—
420	C₄	—	8	1	no	—
421	C₄	—	584	2	no	—
422	C₄	#17988972	1	2	yes	—
423	C₄	C₂×#14556614	1	2	yes	—
424	C₄	#17989385	1	2	yes	—
425	C₄	#17989394	1	2	yes	—
426	C₂	—	2	2	no	—
427	C₂	—	1168	2	no	—
428	C₂	C₂×#17988972	1	1	yes	characteristic
429	C₂	#22620399	1	1	yes	characteristic
430	C₂	#22620408	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#14556587
commutator, cosocle	C₄²×C₇₃	C₂⁴
Frattini	C₄²	C₂³×D₇₃
Fitting	C₇₃×#3170	C₂
socle	C₂²×C₇₃	C₂×#127
prime radical	C₂×#14556588	C₂²
hypercenter	#3170	D₇₃
hypocenter	C₇₃	#19637
LCS	G ▷ C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3170

Complements

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

N	H ≅ G/N	type
1. #22621072	C₂	semidirect
3. #22620313	C₂	semidirect
6. #22609594	C₂	semidirect
7. #22609587	C₂	semidirect
8. #22609544	C₂	semidirect
9. #22609534	C₂	semidirect
10. C₈×#11924012	C₂	semidirect
11. C₇₃×#3170	C₂	semidirect
14. #17988983	C₂²	semidirect
18. #17988939	C₂²	semidirect
19. #17988939	C₂²	semidirect
20. #17988937	C₂²	semidirect
36. #17988309	C₂²	semidirect
37. C₈×#10596831	C₂²	semidirect
40. #500×C₇₃	C₂²	semidirect
41. #494×C₇₃	C₂²	semidirect
42. #487×C₇₃	C₂²	semidirect
43. #487×C₇₃	C₂²	semidirect
218. #3170	D₇₃	semidirect
227. C₇₃	#19637	semidirect
232. #500	C₂×D₇₃	semidirect
234. #494	C₂×D₇₃	semidirect
241. #487	C₂×D₇₃	semidirect
242. #487	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22621072	2
#22620869	2
#22620313	2
#22620307	2
C₂×#17988934	2
#22609594	2
#22609587	2
#22609544	2
#22609534	2
C₈×#11924012	2
C₇₃×#3170	2
#19637	73