Subgroups — C₇₃×#13809 #32923213

Order 18688.

2154 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×C₂²⋊C₄×C₇₃	C₂	1	3	yes	maximal
2	C₂×#376×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#95×C₇₃	C₂	1	1	yes	maximal, characteristic
4	C₇₃×#1434	C₂	1	3	yes	maximal, complemented
5	C₇₃×#1434	C₂	1	3	yes	maximal, complemented
6	C₇₃×C₂²⋊#95	C₂	1	3	yes	maximal
7	C₄×#95×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂⁴×C₄×C₇₃	C₂²	1	3	yes	—
9	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	3	yes	—
10	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
11	C₂²×C₄²×C₇₃	C₂²	1	3	yes	—
12	C₂²×C₄²×C₇₃	C₂²	1	3	yes	—
13	C₄×C₂²⋊C₄×C₇₃	C₄	1	24	yes	complemented
14	#376×C₇₃	—	2	4	no	—
15	C₂×#95×C₇₃	—	2	4	no	—
16	C₂×#95×C₇₃	C₂²	1	3	yes	—
17	C₂×#95×C₇₃	C₂²	1	3	yes	—
18	C₂×#95×C₇₃	C₂²	1	3	yes	—
19	C₂×#95×C₇₃	C₂²	1	6	yes	—
20	C₂×#95×C₇₃	C₂²	1	3	yes	—
21	C₂×#95×C₇₃	C₂²	1	3	yes	—
22	C₂×#95×C₇₃	C₂²	1	1	yes	characteristic
23	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic
24	C₂³×C₄×C₇₃	—	2	12	no	—
25	C₂³×C₄×C₇₃	—	2	6	no	—
26	C₂³×C₄×C₇₃	—	2	6	no	—
27	C₂³×C₄×C₇₃	—	4	6	no	—
28	C₂³×C₄×C₇₃	C₂×C₄	1	12	yes	—
29	C₂³×C₄×C₇₃	C₂³	1	3	yes	—
30	C₂³×C₄×C₇₃	C₂³	1	3	yes	—
31	C₂³×C₄×C₇₃	C₂³	1	3	yes	—
32	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
33	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
34	C₂³×C₄×C₇₃	C₂³	1	3	yes	—
35	C₂×C₂²⋊C₄×C₇₃	—	2	6	no	—
36	C₂×C₂²⋊C₄×C₇₃	—	2	6	no	—
37	C₂×C₂²⋊C₄×C₇₃	C₂×C₄	1	12	yes	—
38	C₂×C₂²⋊C₄×C₇₃	C₂×C₄	1	12	yes	—
39	C₂×C₄²×C₇₃	—	2	6	no	—
40	C₂×C₄²×C₇₃	—	2	6	no	—
41	C₂×C₄²×C₇₃	—	4	6	no	—
42	C₂×C₄²×C₇₃	C₂×C₄	1	12	yes	complemented
43	C₂×C₄²×C₇₃	C₂×C₄	1	12	yes	complemented
44	#95×C₇₃	—	2	6	no	—
45	#95×C₇₃	—	2	6	no	—
46	#95×C₇₃	—	2	6	no	—
47	#95×C₇₃	—	4	6	no	—
48	#95×C₇₃	C₂×C₄	1	12	yes	complemented
49	#95×C₇₃	C₂×C₄	1	12	yes	complemented
50	#95×C₇₃	D₄	1	4	yes	—
51	C₂⁴×C₇₃	—	2	1	no	—
52	C₂⁴×C₇₃	—	2	3	no	—
53	C₂⁴×C₇₃	—	2	3	no	—
54	C₂⁴×C₇₃	—	2	1	no	—
55	C₂⁴×C₇₃	C₂²×C₄	1	6	yes	—
56	C₂⁴×C₇₃	#41	1	2	yes	—
57	C₂⁴×C₇₃	#41	1	6	yes	—
58	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
59	C₂²×C₄×C₇₃	—	2	1	no	—
60	C₂²×C₄×C₇₃	—	2	3	no	—
61	C₂²×C₄×C₇₃	—	2	6	no	—
62	C₂²×C₄×C₇₃	—	2	3	no	—
63	C₂²×C₄×C₇₃	—	2	6	no	—
64	C₂²×C₄×C₇₃	—	2	1	no	—
65	C₂²×C₄×C₇₃	—	2	24	no	—
66	C₂²×C₄×C₇₃	—	2	3	no	—
67	C₂²×C₄×C₇₃	—	2	3	no	—
68	C₂²×C₄×C₇₃	—	2	6	no	—
69	C₂²×C₄×C₇₃	—	2	3	no	—
70	C₂²×C₄×C₇₃	—	2	3	no	—
71	C₂²×C₄×C₇₃	—	2	3	no	—
72	C₂²×C₄×C₇₃	—	2	3	no	—
73	C₂²×C₄×C₇₃	—	2	3	no	—
74	C₂²×C₄×C₇₃	—	2	6	no	—
75	C₂²×C₄×C₇₃	—	2	3	no	—
76	C₂²×C₄×C₇₃	—	2	3	no	—
77	C₂²×C₄×C₇₃	—	2	6	no	—
78	C₂²×C₄×C₇₃	—	2	6	no	—
79	C₂²×C₄×C₇₃	—	2	3	no	—
80	C₂²×C₄×C₇₃	—	2	24	no	—
81	C₂²×C₄×C₇₃	—	4	12	no	—
82	C₂²×C₄×C₇₃	—	4	24	no	—
83	C₂²×C₄×C₇₃	—	4	24	no	—
84	C₂²×C₄×C₇₃	C₂²×C₄	1	6	yes	—
85	C₂²×C₄×C₇₃	C₂²×C₄	1	6	yes	—
86	C₂²×C₄×C₇₃	C₂²×C₄	1	6	yes	—
87	C₂²×C₄×C₇₃	C₂²×C₄	1	6	yes	—
88	C₂²×C₄×C₇₃	C₂²×C₄	1	6	yes	—
89	C₂²×C₄×C₇₃	C₂²×C₄	1	6	yes	—
90	C₂²×C₄×C₇₃	C₂×D₄	1	6	yes	—
91	C₂²×C₄×C₇₃	#41	1	6	yes	—
92	C₂²⋊C₄×C₇₃	—	2	24	no	—
93	C₂²⋊C₄×C₇₃	C₄²	1	16	yes	—
94	C₄²×C₇₃	—	2	24	no	—
95	C₄²×C₇₃	—	4	12	no	—
96	C₂³×C₇₃	—	2	6	no	—
97	C₂³×C₇₃	—	2	6	no	—
98	C₂³×C₇₃	—	2	6	no	—
99	C₂³×C₇₃	—	2	6	no	—
100	C₂³×C₇₃	—	2	6	no	—
101	C₂³×C₇₃	—	2	2	no	—
102	C₂³×C₇₃	—	2	12	no	—
103	C₂³×C₇₃	—	2	6	no	—
104	C₂³×C₇₃	—	2	6	no	—
105	C₂³×C₇₃	C₂×C₄²	1	4	yes	—
106	C₂³×C₇₃	#117	1	12	yes	—
107	C₂³×C₇₃	#117	1	12	yes	—
108	C₂³×C₇₃	C₂³×C₄	1	3	yes	—
109	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
110	C₂³×C₇₃	C₂×#41	1	3	yes	—
111	C₂³×C₇₃	C₂×#41	1	1	yes	characteristic
112	C₂³×C₇₃	C₂×#41	1	3	yes	—
113	C₂³×C₇₃	H(5,𝔽₂)	1	3	yes	—
114	C₂³×C₇₃	2₋¹⁺⁴	1	1	yes	characteristic
115	C₂×C₄×C₇₃	—	2	6	no	—
116	C₂×C₄×C₇₃	—	2	6	no	—
117	C₂×C₄×C₇₃	—	2	6	no	—
118	C₂×C₄×C₇₃	—	2	6	no	—
119	C₂×C₄×C₇₃	—	2	6	no	—
120	C₂×C₄×C₇₃	—	2	6	no	—
121	C₂×C₄×C₇₃	—	2	12	no	—
122	C₂×C₄×C₇₃	—	2	12	no	—
123	C₂×C₄×C₇₃	—	2	6	no	—
124	C₂×C₄×C₇₃	—	2	6	no	—
125	C₂×C₄×C₇₃	—	2	6	no	—
126	C₂×C₄×C₇₃	—	2	6	no	—
127	C₂×C₄×C₇₃	—	2	6	no	—
128	C₂×C₄×C₇₃	—	2	6	no	—
129	C₂×C₄×C₇₃	—	2	6	no	—
130	C₂×C₄×C₇₃	—	2	6	no	—
131	C₂×C₄×C₇₃	—	2	6	no	—
132	C₂×C₄×C₇₃	—	4	48	no	—
133	C₂×C₄×C₇₃	—	4	3	no	—
134	C₂×C₄×C₇₃	—	4	6	no	—
135	C₂×C₄×C₇₃	—	4	3	no	—
136	C₂×C₄×C₇₃	—	4	6	no	—
137	C₂×C₄×C₇₃	—	4	6	no	—
138	C₂×C₄×C₇₃	—	4	3	no	—
139	C₂×C₄×C₇₃	—	4	3	no	—
140	C₂×C₄×C₇₃	—	4	6	no	—
141	C₂×C₄×C₇₃	C₂×C₄²	1	4	yes	—
142	C₂×C₄×C₇₃	C₂×C₄²	1	4	yes	—
143	C₂×C₄×C₇₃	C₄×D₄	1	12	yes	—
144	C₂²×C₇₃	—	2	12	no	—
145	C₂²×C₇₃	—	2	12	no	—
146	C₂²×C₇₃	—	2	12	no	—
147	C₂²×C₇₃	—	2	12	no	—
148	C₂²×C₇₃	—	2	4	no	—
149	C₂²×C₇₃	—	2	4	no	—
150	C₂²×C₇₃	#376	1	8	yes	complemented
151	C₂²×C₇₃	C₂²×C₄²	1	1	yes	characteristic
152	C₂²×C₇₃	C₂×#117	1	3	yes	—
153	C₂²×C₇₃	C₂×#117	1	3	yes	—
154	C₂²×C₇₃	C₂×C₄×D₄	1	3	yes	—
155	C₂²×C₇₃	C₄×#41	1	3	yes	—
156	C₂²×C₇₃	#518	1	3	yes	—
157	C₂²×C₇₃	#520	1	3	yes	—
158	C₂²×C₇₃	#546	1	3	yes	—
159	C₂²×C₇₃	#548	1	1	yes	characteristic
160	C₂²×C₇₃	#551	1	6	yes	—
161	C₂²×C₇₃	#552	1	3	yes	—
162	C₂²×C₇₃	#553	1	3	yes	—
163	C₄×C₇₃	—	2	12	no	—
164	C₄×C₇₃	—	2	4	no	—
165	C₄×C₇₃	—	2	4	no	—
166	C₄×C₇₃	—	4	6	no	—
167	C₄×C₇₃	—	4	6	no	—
168	C₄×C₇₃	—	4	6	no	—
169	#13809	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
170	C₂×C₇₃	—	2	8	no	—
171	C₂×C₇₃	C₂×#376	1	1	yes	characteristic
172	C₂×C₇₃	C₄²×D₄	1	1	yes	characteristic
173	C₂×C₇₃	#2275	1	1	yes	characteristic
174	C₂×C₇₃	#2342	1	3	yes	—
175	C₂×C₇₃	#2343	1	3	yes	—
176	C₂×C₇₃	#2352	1	3	yes	—
177	C₂×C₇₃	#2353	1	3	yes	—
178	C₂×C₄×C₂²⋊C₄	C₂×C₇₃	1	3	yes	—
179	C₂×#376	C₂×C₇₃	1	1	yes	characteristic, complemented
180	C₂²×#95	C₂×C₇₃	1	1	yes	characteristic
181	#1434	C₂×C₇₃	1	3	yes	complemented
182	#1434	C₂×C₇₃	1	3	yes	complemented
183	C₂²⋊#95	C₂×C₇₃	1	3	yes	—
184	C₄×#95	C₂×C₇₃	1	1	yes	characteristic, complemented
185	C₇₃	#13809	1	1	yes	characteristic, direct product factor, Sylow
186	C₂⁴×C₄	C₂²×C₇₃	1	3	yes	—
187	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	3	yes	—
188	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
189	C₂²×C₄²	C₂²×C₇₃	1	3	yes	—
190	C₂²×C₄²	C₂²×C₇₃	1	3	yes	—
191	C₄×C₂²⋊C₄	C₄×C₇₃	1	24	yes	complemented
192	#376	—	2	4	no	—
193	C₂×#95	—	2	4	no	—
194	C₂×#95	C₂²×C₇₃	1	3	yes	—
195	C₂×#95	C₂²×C₇₃	1	3	yes	—
196	C₂×#95	C₂²×C₇₃	1	3	yes	—
197	C₂×#95	C₂²×C₇₃	1	6	yes	—
198	C₂×#95	C₂²×C₇₃	1	3	yes	—
199	C₂×#95	C₂²×C₇₃	1	3	yes	—
200	C₂×#95	C₂²×C₇₃	1	1	yes	characteristic
201	C₂⁵	C₂³×C₇₃	1	1	yes	characteristic
202	C₂³×C₄	—	2	12	no	—
203	C₂³×C₄	—	2	6	no	—
204	C₂³×C₄	—	2	6	no	—
205	C₂³×C₄	—	4	6	no	—
206	C₂³×C₄	C₂×C₄×C₇₃	1	12	yes	—
207	C₂³×C₄	C₂³×C₇₃	1	3	yes	—
208	C₂³×C₄	C₂³×C₇₃	1	3	yes	—
209	C₂³×C₄	C₂³×C₇₃	1	3	yes	—
210	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
211	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
212	C₂³×C₄	C₂³×C₇₃	1	3	yes	—
213	C₂×C₂²⋊C₄	—	2	6	no	—
214	C₂×C₂²⋊C₄	—	2	6	no	—
215	C₂×C₂²⋊C₄	C₂×C₄×C₇₃	1	12	yes	—
216	C₂×C₂²⋊C₄	C₂×C₄×C₇₃	1	12	yes	—
217	C₂×C₄²	—	2	6	no	—
218	C₂×C₄²	—	2	6	no	—
219	C₂×C₄²	—	4	6	no	—
220	C₂×C₄²	C₂×C₄×C₇₃	1	12	yes	complemented
221	C₂×C₄²	C₂×C₄×C₇₃	1	12	yes	complemented
222	#95	—	2	6	no	—
223	#95	—	2	6	no	—
224	#95	—	2	6	no	—
225	#95	—	4	6	no	—
226	#95	C₂×C₄×C₇₃	1	12	yes	complemented
227	#95	C₂×C₄×C₇₃	1	12	yes	complemented
228	#95	D₄×C₇₃	1	4	yes	—
229	C₂⁴	—	2	1	no	—
230	C₂⁴	—	2	3	no	—
231	C₂⁴	—	2	3	no	—
232	C₂⁴	—	2	1	no	—
233	C₂⁴	C₂²×C₄×C₇₃	1	6	yes	—
234	C₂⁴	#41×C₇₃	1	2	yes	—
235	C₂⁴	#41×C₇₃	1	6	yes	—
236	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
237	C₂²×C₄	—	2	1	no	—
238	C₂²×C₄	—	2	3	no	—
239	C₂²×C₄	—	2	6	no	—
240	C₂²×C₄	—	2	3	no	—
241	C₂²×C₄	—	2	6	no	—
242	C₂²×C₄	—	2	1	no	—
243	C₂²×C₄	—	2	24	no	—
244	C₂²×C₄	—	2	3	no	—
245	C₂²×C₄	—	2	3	no	—
246	C₂²×C₄	—	2	6	no	—
247	C₂²×C₄	—	2	3	no	—
248	C₂²×C₄	—	2	3	no	—
249	C₂²×C₄	—	2	3	no	—
250	C₂²×C₄	—	2	3	no	—
251	C₂²×C₄	—	2	3	no	—
252	C₂²×C₄	—	2	6	no	—
253	C₂²×C₄	—	2	3	no	—
254	C₂²×C₄	—	2	3	no	—
255	C₂²×C₄	—	2	6	no	—
256	C₂²×C₄	—	2	6	no	—
257	C₂²×C₄	—	2	3	no	—
258	C₂²×C₄	—	2	24	no	—
259	C₂²×C₄	—	4	12	no	—
260	C₂²×C₄	—	4	24	no	—
261	C₂²×C₄	—	4	24	no	—
262	C₂²×C₄	C₂²×C₄×C₇₃	1	6	yes	—
263	C₂²×C₄	C₂²×C₄×C₇₃	1	6	yes	—
264	C₂²×C₄	C₂²×C₄×C₇₃	1	6	yes	—
265	C₂²×C₄	C₂²×C₄×C₇₃	1	6	yes	—
266	C₂²×C₄	C₂²×C₄×C₇₃	1	6	yes	—
267	C₂²×C₄	C₂²×C₄×C₇₃	1	6	yes	—
268	C₂²×C₄	C₂×D₄×C₇₃	1	6	yes	—
269	C₂²×C₄	#41×C₇₃	1	6	yes	—
270	C₂²⋊C₄	—	2	24	no	—
271	C₂²⋊C₄	C₄²×C₇₃	1	16	yes	—
272	C₄²	—	2	24	no	—
273	C₄²	—	4	12	no	—
274	C₂³	—	2	6	no	—
275	C₂³	—	2	6	no	—
276	C₂³	—	2	6	no	—
277	C₂³	—	2	6	no	—
278	C₂³	—	2	6	no	—
279	C₂³	—	2	2	no	—
280	C₂³	—	2	12	no	—
281	C₂³	—	2	6	no	—
282	C₂³	—	2	6	no	—
283	C₂³	C₂×C₄²×C₇₃	1	4	yes	—
284	C₂³	#117×C₇₃	1	12	yes	—
285	C₂³	#117×C₇₃	1	12	yes	—
286	C₂³	C₂³×C₄×C₇₃	1	3	yes	—
287	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
288	C₂³	C₂×#41×C₇₃	1	3	yes	—
289	C₂³	C₂×#41×C₇₃	1	1	yes	characteristic
290	C₂³	C₂×#41×C₇₃	1	3	yes	—
291	C₂³	H(5,𝔽₂)×C₇₃	1	3	yes	—
292	C₂³	2₋¹⁺⁴×C₇₃	1	1	yes	characteristic
293	C₂×C₄	—	2	6	no	—
294	C₂×C₄	—	2	6	no	—
295	C₂×C₄	—	2	6	no	—
296	C₂×C₄	—	2	6	no	—
297	C₂×C₄	—	2	6	no	—
298	C₂×C₄	—	2	6	no	—
299	C₂×C₄	—	2	12	no	—
300	C₂×C₄	—	2	12	no	—
301	C₂×C₄	—	2	6	no	—
302	C₂×C₄	—	2	6	no	—
303	C₂×C₄	—	2	6	no	—
304	C₂×C₄	—	2	6	no	—
305	C₂×C₄	—	2	6	no	—
306	C₂×C₄	—	2	6	no	—
307	C₂×C₄	—	2	6	no	—
308	C₂×C₄	—	2	6	no	—
309	C₂×C₄	—	2	6	no	—
310	C₂×C₄	—	4	48	no	—
311	C₂×C₄	—	4	6	no	—
312	C₂×C₄	—	4	3	no	—
313	C₂×C₄	—	4	3	no	—
314	C₂×C₄	—	4	6	no	—
315	C₂×C₄	—	4	6	no	—
316	C₂×C₄	—	4	3	no	—
317	C₂×C₄	—	4	3	no	—
318	C₂×C₄	—	4	6	no	—
319	C₂×C₄	C₂×C₄²×C₇₃	1	4	yes	—
320	C₂×C₄	C₂×C₄²×C₇₃	1	4	yes	—
321	C₂×C₄	C₄×D₄×C₇₃	1	12	yes	—
322	C₂²	—	2	4	no	—
323	C₂²	—	2	4	no	—
324	C₂²	—	2	12	no	—
325	C₂²	—	2	12	no	—
326	C₂²	—	2	12	no	—
327	C₂²	—	2	12	no	—
328	C₂²	#376×C₇₃	1	8	yes	complemented
329	C₂²	C₂²×C₄²×C₇₃	1	1	yes	characteristic
330	C₂²	C₂×#117×C₇₃	1	3	yes	—
331	C₂²	C₂×#117×C₇₃	1	3	yes	—
332	C₂²	C₂×C₄×D₄×C₇₃	1	3	yes	—
333	C₂²	C₄×#41×C₇₃	1	3	yes	—
334	C₂²	#518×C₇₃	1	3	yes	—
335	C₂²	#520×C₇₃	1	3	yes	—
336	C₂²	#546×C₇₃	1	3	yes	—
337	C₂²	#548×C₇₃	1	1	yes	characteristic
338	C₂²	#551×C₇₃	1	6	yes	—
339	C₂²	#552×C₇₃	1	3	yes	—
340	C₂²	#553×C₇₃	1	3	yes	—
341	C₄	—	2	4	no	—
342	C₄	—	2	4	no	—
343	C₄	—	2	12	no	—
344	C₄	—	4	6	no	—
345	C₄	—	4	6	no	—
346	C₄	—	4	6	no	—
347	C₂	—	2	8	no	—
348	C₂	C₂×#376×C₇₃	1	1	yes	characteristic
349	C₂	C₄²×D₄×C₇₃	1	1	yes	characteristic
350	C₂	C₇₃×#2275	1	1	yes	characteristic
351	C₂	C₇₃×#2342	1	3	yes	—
352	C₂	C₇₃×#2343	1	3	yes	—
353	C₂	C₇₃×#2352	1	3	yes	—
354	C₂	C₇₃×#2353	1	3	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₇₃	C₂⁴
commutator	C₂²	C₂²×C₄²×C₇₃
Frattini, cosocle	C₂⁴	C₂⁴×C₇₃
prime radical	C₂⁵×C₇₃	C₂³
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁴×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×#376×C₇₃	C₂	semidirect
4. C₇₃×#1434	C₂	semidirect
5. C₇₃×#1434	C₂	semidirect
7. C₄×#95×C₇₃	C₂	semidirect
13. C₄×C₂²⋊C₄×C₇₃	C₄	semidirect
42. C₂×C₄²×C₇₃	C₂×C₄	semidirect
43. C₂×C₄²×C₇₃	C₂×C₄	semidirect
48. #95×C₇₃	C₂×C₄	semidirect
49. #95×C₇₃	C₂×C₄	semidirect
150. C₂²×C₇₃	#376	semidirect
169. #13809	C₇₃	direct (N × H)
179. C₂×#376	C₂×C₇₃	semidirect
181. #1434	C₂×C₇₃	semidirect
182. #1434	C₂×C₇₃	semidirect
184. C₄×#95	C₂×C₇₃	semidirect
185. C₇₃	#13809	direct (N × H)
191. C₄×C₂²⋊C₄	C₄×C₇₃	semidirect
220. C₂×C₄²	C₂×C₄×C₇₃	semidirect
221. C₂×C₄²	C₂×C₄×C₇₃	semidirect
226. #95	C₂×C₄×C₇₃	semidirect
227. #95	C₂×C₄×C₇₃	semidirect
328. C₂²	#376×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄×C₂²⋊C₄×C₇₃	2
C₂×#376×C₇₃	2
C₂²×#95×C₇₃	2
C₇₃×#1434	2
C₇₃×C₂²⋊#95	2
C₄×#95×C₇₃	2
#13809	73

Subgroups — C73×#13809 #32923213

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#13809 #32923213