Subgroups — C₇₃×#25718 #32935122

Order 18688.

1686 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₄⋊Q₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#492×C₇₃	C₂	1	2	yes	maximal, complemented
3	C₂×#448×C₇₃	C₂	1	4	yes	maximal, complemented
4	C₇₃×#2856	C₂	1	1	yes	maximal, characteristic
5	C₇₃×#2013	C₂	1	4	yes	maximal, complemented
6	C₇₃×#1956	C₂	1	2	yes	maximal, complemented
7	C₄×C₂²⋊C₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂³×Q₈×C₇₃	C₂²	1	2	yes	—
9	C₂²×SD₁₆×C₇₃	C₂²	1	8	yes	—
10	C₂×C₄⋊Q₈×C₇₃	—	2	8	no	—
11	C₂×C₄⋊Q₈×C₇₃	—	2	2	no	—
12	C₂×C₄⋊Q₈×C₇₃	C₂²	1	2	yes	—
13	C₂×C₄⋊Q₈×C₇₃	C₂²	1	2	yes	—
14	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic
15	C₂×#121×C₇₃	—	2	2	no	—
16	C₂×#121×C₇₃	C₂²	1	2	yes	—
17	C₂²×C₄⋊C₄×C₇₃	—	2	2	no	—
18	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
19	#492×C₇₃	—	2	8	no	—
20	#448×C₇₃	—	2	16	no	—
21	C₂×#103×C₇₃	C₂²	1	8	yes	—
22	C₂×C₂²⋊C₈×C₇₃	C₂²	1	2	yes	—
23	C₂×C₄×C₈×C₇₃	C₂²	1	2	yes	—
24	#390×C₇₃	—	2	2	no	—
25	#390×C₇₃	C₂²	1	2	yes	—
26	#384×C₇₃	C₂²	1	1	yes	characteristic
27	#336×C₇₃	C₂²	1	2	yes	—
28	C₂²×Q₈×C₇₃	—	2	8	no	—
29	C₂²×Q₈×C₇₃	—	2	2	no	—
30	C₂²×Q₈×C₇₃	—	2	8	no	—
31	C₂²×Q₈×C₇₃	—	4	4	no	—
32	C₂²×Q₈×C₇₃	C₂³	1	4	yes	—
33	C₂²×D₄×C₇₃	—	2	2	no	—
34	C₂²×D₄×C₇₃	—	2	2	no	—
35	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
36	C₂³×C₄×C₇₃	—	2	2	no	—
37	C₂³×C₄×C₇₃	D₄	1	2	yes	—
38	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
39	C₂×SD₁₆×C₇₃	—	2	16	no	—
40	C₂×SD₁₆×C₇₃	—	2	16	no	—
41	C₂×SD₁₆×C₇₃	—	4	8	no	—
42	C₂²×C₈×C₇₃	C₂³	1	4	yes	—
43	C₄⋊Q₈×C₇₃	—	2	16	no	—
44	C₄⋊Q₈×C₇₃	—	2	8	no	—
45	C₄⋊Q₈×C₇₃	—	2	4	no	—
46	C₄⋊Q₈×C₇₃	D₄	1	8	yes	complemented
47	#127×C₇₃	—	2	4	no	—
48	#121×C₇₃	—	2	8	no	—
49	#121×C₇₃	—	4	8	no	—
50	C₂×C₄⋊C₄×C₇₃	—	2	16	no	—
51	C₂×C₄⋊C₄×C₇₃	—	2	4	no	—
52	C₂×C₄⋊C₄×C₇₃	—	2	4	no	—
53	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
54	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
55	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
56	C₂×C₂²⋊C₄×C₇₃	—	2	4	no	—
57	C₂×C₄²×C₇₃	—	2	4	no	—
58	C₂×C₄²×C₇₃	D₄	1	2	yes	—
59	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
60	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
61	#103×C₇₃	—	2	16	no	—
62	C₂²⋊C₈×C₇₃	D₄	1	8	yes	complemented
63	C₄×C₈×C₇₃	—	2	4	no	—
64	C₂⁴×C₇₃	—	2	2	no	—
65	C₂⁴×C₇₃	C₂×D₄	1	1	yes	characteristic
66	C₂×Q₈×C₇₃	—	2	8	no	—
67	C₂×Q₈×C₇₃	—	2	4	no	—
68	C₂×Q₈×C₇₃	—	2	8	no	—
69	C₂×Q₈×C₇₃	—	2	8	no	—
70	C₂×Q₈×C₇₃	—	4	32	no	—
71	C₂×Q₈×C₇₃	—	4	4	no	—
72	C₂×Q₈×C₇₃	—	4	4	no	—
73	C₂×Q₈×C₇₃	C₂×D₄	1	8	yes	—
74	C₂×D₄×C₇₃	—	2	4	no	—
75	C₂×D₄×C₇₃	—	2	4	no	—
76	C₂×D₄×C₇₃	—	2	4	no	—
77	C₂×D₄×C₇₃	—	4	4	no	—
78	C₂×D₄×C₇₃	—	4	8	no	—
79	C₂×D₄×C₇₃	—	4	4	no	—
80	C₂×D₄×C₇₃	—	4	4	no	—
81	C₂×D₄×C₇₃	—	4	4	no	—
82	C₂²×C₄×C₇₃	—	2	4	no	—
83	C₂²×C₄×C₇₃	—	2	4	no	—
84	C₂²×C₄×C₇₃	—	2	2	no	—
85	C₂²×C₄×C₇₃	—	2	2	no	—
86	C₂²×C₄×C₇₃	—	2	8	no	—
87	C₂²×C₄×C₇₃	—	2	4	no	—
88	C₂²×C₄×C₇₃	—	2	2	no	—
89	C₂²×C₄×C₇₃	—	4	4	no	—
90	C₂²×C₄×C₇₃	—	4	4	no	—
91	C₂²×C₄×C₇₃	SD₁₆	1	8	yes	complemented
92	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
94	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
96	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
97	SD₁₆×C₇₃	—	4	32	no	—
98	C₂×C₈×C₇₃	—	2	4	no	—
99	C₂×C₈×C₇₃	—	2	4	no	—
100	C₂×C₈×C₇₃	C₂×D₄	1	8	yes	—
101	C₄⋊C₄×C₇₃	—	2	16	no	—
102	C₄⋊C₄×C₇₃	—	2	16	no	—
103	C₄⋊C₄×C₇₃	—	2	4	no	—
104	C₄⋊C₄×C₇₃	—	4	4	no	—
105	C₂²⋊C₄×C₇₃	—	4	4	no	—
106	C₂²⋊C₄×C₇₃	—	4	8	no	—
107	C₄²×C₇₃	—	2	4	no	—
108	C₄²×C₇₃	—	2	2	no	—
109	C₄²×C₇₃	C₂×D₄	1	4	yes	—
110	C₂³×C₇₃	—	2	1	no	—
111	C₂³×C₇₃	—	2	1	no	—
112	C₂³×C₇₃	—	2	2	no	—
113	C₂³×C₇₃	—	4	2	no	—
114	C₂³×C₇₃	—	4	2	no	—
115	C₂³×C₇₃	—	4	2	no	—
116	C₂³×C₇₃	—	4	4	no	—
117	C₂³×C₇₃	—	4	4	no	—
118	C₂³×C₇₃	#127	1	2	yes	—
119	C₂³×C₇₃	C₂×SD₁₆	1	4	yes	—
120	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
121	Q₈×C₇₃	—	2	16	no	—
122	Q₈×C₇₃	—	4	16	no	—
123	Q₈×C₇₃	—	4	8	no	—
124	D₄×C₇₃	—	4	8	no	—
125	D₄×C₇₃	—	8	8	no	—
126	D₄×C₇₃	—	8	8	no	—
127	C₂×C₄×C₇₃	—	2	2	no	—
128	C₂×C₄×C₇₃	—	2	1	no	—
129	C₂×C₄×C₇₃	—	2	1	no	—
130	C₂×C₄×C₇₃	—	2	2	no	—
131	C₂×C₄×C₇₃	—	2	8	no	—
132	C₂×C₄×C₇₃	—	2	16	no	—
133	C₂×C₄×C₇₃	—	2	8	no	—
134	C₂×C₄×C₇₃	—	4	16	no	—
135	C₂×C₄×C₇₃	—	4	4	no	—
136	C₂×C₄×C₇₃	—	4	4	no	—
137	C₂×C₄×C₇₃	—	4	2	no	—
138	C₂×C₄×C₇₃	—	4	4	no	—
139	C₂×C₄×C₇₃	#120	1	4	yes	—
140	C₂×C₄×C₇₃	#127	1	2	yes	—
141	C₂×C₄×C₇₃	C₂×SD₁₆	1	4	yes	—
142	C₂×C₄×C₇₃	C₂×SD₁₆	1	4	yes	—
143	C₂×C₄×C₇₃	#137	1	4	yes	—
144	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
145	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
146	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
147	C₈×C₇₃	—	2	8	no	—
148	C₂²×C₇₃	—	2	2	no	—
149	C₂²×C₇₃	—	2	2	no	—
150	C₂²×C₇₃	—	2	4	no	—
151	C₂²×C₇₃	—	2	4	no	—
152	C₂²×C₇₃	—	8	2	no	—
153	C₂²×C₇₃	—	8	2	no	—
154	C₂²×C₇₃	—	8	2	no	—
155	C₂²×C₇₃	—	8	4	no	—
156	C₂²×C₇₃	—	8	4	no	—
157	C₂²×C₇₃	#492	1	4	yes	complemented
158	C₂²×C₇₃	C₂×#120	1	1	yes	characteristic
159	C₂²×C₇₃	C₂×#127	1	1	yes	characteristic
160	C₂²×C₇₃	#535	1	1	yes	characteristic
161	C₂²×C₇₃	C₂²×SD₁₆	1	2	yes	—
162	C₂²×C₇₃	C₂×#137	1	2	yes	—
163	C₄×C₇₃	—	2	2	no	—
164	C₄×C₇₃	—	2	4	no	—
165	C₄×C₇₃	—	4	8	no	—
166	C₄×C₇₃	—	8	2	no	—
167	C₄×C₇₃	#448	1	8	yes	complemented
168	C₄×C₇₃	D₄²	1	4	yes	—
169	#25718	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
170	C₂×C₇₃	—	2	4	no	—
171	C₂×C₇₃	—	16	2	no	—
172	C₂×C₇₃	#2433	1	1	yes	characteristic
173	C₂×C₇₃	C₂×#448	1	2	yes	—
174	C₂×C₇₃	C₂×#492	1	1	yes	characteristic
175	C₂×C₇₃	#3152	1	1	yes	characteristic
176	C₂×C₇₃	#3206	1	2	yes	—
177	C₂²×C₄⋊Q₈	C₂×C₇₃	1	1	yes	characteristic, complemented
178	C₂×#492	C₂×C₇₃	1	2	yes	complemented
179	C₂×#448	C₂×C₇₃	1	4	yes	complemented
180	#2856	C₂×C₇₃	1	1	yes	characteristic
181	#2013	C₂×C₇₃	1	4	yes	complemented
182	#1956	C₂×C₇₃	1	2	yes	complemented
183	C₄×C₂²⋊C₈	C₂×C₇₃	1	1	yes	characteristic, complemented
184	C₇₃	#25718	1	1	yes	characteristic, direct product factor, Sylow
185	C₂³×Q₈	C₂²×C₇₃	1	2	yes	—
186	C₂²×SD₁₆	C₂²×C₇₃	1	8	yes	—
187	C₂×C₄⋊Q₈	—	2	8	no	—
188	C₂×C₄⋊Q₈	—	2	2	no	—
189	C₂×C₄⋊Q₈	C₂²×C₇₃	1	2	yes	—
190	C₂×C₄⋊Q₈	C₂²×C₇₃	1	2	yes	—
191	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic
192	C₂×#121	—	2	2	no	—
193	C₂×#121	C₂²×C₇₃	1	2	yes	—
194	C₂²×C₄⋊C₄	—	2	2	no	—
195	C₂²×C₄²	C₂²×C₇₃	1	1	yes	characteristic
196	#492	—	2	8	no	—
197	#448	—	2	16	no	—
198	C₂×#103	C₂²×C₇₃	1	8	yes	—
199	C₂×C₂²⋊C₈	C₂²×C₇₃	1	2	yes	—
200	C₂×C₄×C₈	C₂²×C₇₃	1	2	yes	—
201	#390	—	2	2	no	—
202	#390	C₂²×C₇₃	1	2	yes	—
203	#384	C₂²×C₇₃	1	1	yes	characteristic
204	#336	C₂²×C₇₃	1	2	yes	—
205	C₂²×Q₈	—	2	8	no	—
206	C₂²×Q₈	—	2	2	no	—
207	C₂²×Q₈	—	2	8	no	—
208	C₂²×Q₈	—	4	4	no	—
209	C₂²×Q₈	C₂³×C₇₃	1	4	yes	—
210	C₂²×D₄	—	2	2	no	—
211	C₂²×D₄	—	2	2	no	—
212	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
213	C₂³×C₄	—	2	2	no	—
214	C₂³×C₄	D₄×C₇₃	1	2	yes	—
215	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
216	C₂×SD₁₆	—	2	16	no	—
217	C₂×SD₁₆	—	2	16	no	—
218	C₂×SD₁₆	—	4	8	no	—
219	C₂²×C₈	C₂³×C₇₃	1	4	yes	—
220	C₄⋊Q₈	—	2	16	no	—
221	C₄⋊Q₈	—	2	8	no	—
222	C₄⋊Q₈	—	2	4	no	—
223	C₄⋊Q₈	D₄×C₇₃	1	8	yes	complemented
224	#127	—	2	4	no	—
225	#121	—	2	8	no	—
226	#121	—	4	8	no	—
227	C₂×C₄⋊C₄	—	2	16	no	—
228	C₂×C₄⋊C₄	—	2	4	no	—
229	C₂×C₄⋊C₄	—	2	4	no	—
230	C₂×C₄⋊C₄	—	2	2	no	—
231	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
232	C₂×C₂²⋊C₄	—	2	4	no	—
233	C₂×C₂²⋊C₄	—	2	2	no	—
234	C₂×C₄²	—	2	4	no	—
235	C₂×C₄²	D₄×C₇₃	1	2	yes	—
236	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
237	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
238	#103	—	2	16	no	—
239	C₂²⋊C₈	D₄×C₇₃	1	8	yes	complemented
240	C₄×C₈	—	2	4	no	—
241	C₂⁴	—	2	2	no	—
242	C₂⁴	C₂×D₄×C₇₃	1	1	yes	characteristic
243	C₂×Q₈	—	2	8	no	—
244	C₂×Q₈	—	2	4	no	—
245	C₂×Q₈	—	2	8	no	—
246	C₂×Q₈	—	2	8	no	—
247	C₂×Q₈	—	4	32	no	—
248	C₂×Q₈	—	4	4	no	—
249	C₂×Q₈	—	4	4	no	—
250	C₂×Q₈	C₂×D₄×C₇₃	1	8	yes	—
251	C₂×D₄	—	2	4	no	—
252	C₂×D₄	—	2	4	no	—
253	C₂×D₄	—	2	4	no	—
254	C₂×D₄	—	4	4	no	—
255	C₂×D₄	—	4	8	no	—
256	C₂×D₄	—	4	4	no	—
257	C₂×D₄	—	4	4	no	—
258	C₂×D₄	—	4	4	no	—
259	C₂²×C₄	—	2	4	no	—
260	C₂²×C₄	—	2	4	no	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	2	2	no	—
263	C₂²×C₄	—	2	8	no	—
264	C₂²×C₄	—	2	4	no	—
265	C₂²×C₄	—	2	2	no	—
266	C₂²×C₄	—	4	4	no	—
267	C₂²×C₄	—	4	4	no	—
268	C₂²×C₄	SD₁₆×C₇₃	1	8	yes	complemented
269	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
270	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
271	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
272	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
273	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
274	SD₁₆	—	4	32	no	—
275	C₂×C₈	—	2	4	no	—
276	C₂×C₈	—	2	4	no	—
277	C₂×C₈	C₂×D₄×C₇₃	1	8	yes	—
278	C₄⋊C₄	—	2	16	no	—
279	C₄⋊C₄	—	2	16	no	—
280	C₄⋊C₄	—	2	4	no	—
281	C₄⋊C₄	—	4	4	no	—
282	C₂²⋊C₄	—	4	4	no	—
283	C₂²⋊C₄	—	4	8	no	—
284	C₄²	—	2	4	no	—
285	C₄²	—	2	2	no	—
286	C₄²	C₂×D₄×C₇₃	1	4	yes	—
287	C₂³	—	2	1	no	—
288	C₂³	—	2	1	no	—
289	C₂³	—	2	2	no	—
290	C₂³	—	4	2	no	—
291	C₂³	—	4	2	no	—
292	C₂³	—	4	2	no	—
293	C₂³	—	4	4	no	—
294	C₂³	—	4	4	no	—
295	C₂³	#127×C₇₃	1	2	yes	—
296	C₂³	C₂×SD₁₆×C₇₃	1	4	yes	—
297	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
298	Q₈	—	2	16	no	—
299	Q₈	—	4	16	no	—
300	Q₈	—	4	8	no	—
301	D₄	—	4	8	no	—
302	D₄	—	8	8	no	—
303	D₄	—	8	8	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	2	16	no	—
309	C₂×C₄	—	2	8	no	—
310	C₂×C₄	—	2	8	no	—
311	C₂×C₄	—	4	16	no	—
312	C₂×C₄	—	4	4	no	—
313	C₂×C₄	—	4	4	no	—
314	C₂×C₄	—	4	2	no	—
315	C₂×C₄	—	4	4	no	—
316	C₂×C₄	#120×C₇₃	1	4	yes	—
317	C₂×C₄	#127×C₇₃	1	2	yes	—
318	C₂×C₄	C₂×SD₁₆×C₇₃	1	4	yes	—
319	C₂×C₄	C₂×SD₁₆×C₇₃	1	4	yes	—
320	C₂×C₄	#137×C₇₃	1	4	yes	—
321	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
322	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
323	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
324	C₈	—	2	8	no	—
325	C₂²	—	2	4	no	—
326	C₂²	—	2	2	no	—
327	C₂²	—	2	2	no	—
328	C₂²	—	2	4	no	—
329	C₂²	—	8	4	no	—
330	C₂²	—	8	2	no	—
331	C₂²	—	8	2	no	—
332	C₂²	—	8	2	no	—
333	C₂²	—	8	4	no	—
334	C₂²	#492×C₇₃	1	4	yes	complemented
335	C₂²	C₂×#120×C₇₃	1	1	yes	characteristic
336	C₂²	C₂×#127×C₇₃	1	1	yes	characteristic
337	C₂²	#535×C₇₃	1	1	yes	characteristic
338	C₂²	C₂²×SD₁₆×C₇₃	1	2	yes	—
339	C₂²	C₂×#137×C₇₃	1	2	yes	—
340	C₄	—	2	4	no	—
341	C₄	—	2	2	no	—
342	C₄	—	4	8	no	—
343	C₄	—	8	2	no	—
344	C₄	#448×C₇₃	1	8	yes	complemented
345	C₄	D₄²×C₇₃	1	4	yes	—
346	C₂	—	2	4	no	—
347	C₂	—	16	2	no	—
348	C₂	C₇₃×#2433	1	1	yes	characteristic
349	C₂	C₂×#448×C₇₃	1	2	yes	—
350	C₂	C₂×#492×C₇₃	1	1	yes	characteristic
351	C₂	C₇₃×#3152	1	1	yes	characteristic
352	C₂	C₇₃×#3206	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₇₃
prime radical	C₇₃×#2856	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₇₃ ◁ C₂²×C₄²×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₄⋊Q₈×C₇₃	C₂	semidirect
2. C₂×#492×C₇₃	C₂	semidirect
3. C₂×#448×C₇₃	C₂	semidirect
5. C₇₃×#2013	C₂	semidirect
6. C₇₃×#1956	C₂	semidirect
7. C₄×C₂²⋊C₈×C₇₃	C₂	semidirect
46. C₄⋊Q₈×C₇₃	D₄	semidirect
62. C₂²⋊C₈×C₇₃	D₄	semidirect
91. C₂²×C₄×C₇₃	SD₁₆	semidirect
157. C₂²×C₇₃	#492	semidirect
167. C₄×C₇₃	#448	semidirect
169. #25718	C₇₃	direct (N × H)
177. C₂²×C₄⋊Q₈	C₂×C₇₃	semidirect
178. C₂×#492	C₂×C₇₃	semidirect
179. C₂×#448	C₂×C₇₃	semidirect
181. #2013	C₂×C₇₃	semidirect
182. #1956	C₂×C₇₃	semidirect
183. C₄×C₂²⋊C₈	C₂×C₇₃	semidirect
184. C₇₃	#25718	direct (N × H)
223. C₄⋊Q₈	D₄×C₇₃	semidirect
239. C₂²⋊C₈	D₄×C₇₃	semidirect
268. C₂²×C₄	SD₁₆×C₇₃	semidirect
334. C₂²	#492×C₇₃	semidirect
344. C₄	#448×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₄⋊Q₈×C₇₃	2
C₂×#492×C₇₃	2
C₂×#448×C₇₃	2
C₇₃×#2856	2
C₇₃×#2013	2
C₇₃×#1956	2
C₄×C₂²⋊C₈×C₇₃	2
#25718	73

Subgroups — C73×#25718 #32935122

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#25718 #32935122