Subgroups — C₇₃×#32817 #32942221

Order 18688.

746 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	C₇₃×#2640	C₂	1	2	yes	maximal, complemented
2	C₇₃×#2056	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#2055	C₂	1	2	yes	maximal, complemented
4	C₇₃×#2054	C₂	1	1	yes	maximal, characteristic
5	C₇₃×#2024	C₂	1	2	yes	maximal, complemented
6	C₇₃×#2023	C₂	1	2	yes	maximal, complemented
7	C₇₃×#2015	C₂	1	2	yes	maximal, complemented
8	C₇₃×#2012	C₂	1	2	yes	maximal
9	C₇₃×#1832	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
11	C₂²×SD₁₆×C₇₃	C₂²	1	2	yes	—
12	C₂²×D₈×C₇₃	C₂²	1	1	yes	characteristic
13	C₂×C₄⋊Q₈×C₇₃	C₂²	1	2	yes	—
14	C₂×#124×C₇₃	C₂²	1	2	yes	—
15	C₂×C₄⋊C₈×C₇₃	C₂²	1	1	yes	characteristic
16	C₂×C₄⋊C₈×C₇₃	C₂²	1	1	yes	characteristic
17	C₂×#103×C₇₃	C₂²	1	2	yes	—
18	C₂×#103×C₇₃	C₂²	1	2	yes	—
19	C₂×#102×C₇₃	C₂²	1	2	yes	—
20	C₂×#102×C₇₃	C₂²	1	2	yes	—
21	#397×C₇₃	—	2	2	no	—
22	#397×C₇₃	—	2	2	no	—
23	#393×C₇₃	—	2	2	no	—
24	#393×C₇₃	—	2	2	no	—
25	#391×C₇₃	C₂²	1	2	yes	—
26	#391×C₇₃	C₂²	1	2	yes	—
27	#390×C₇₃	C₂²	1	2	yes	—
28	#390×C₇₃	C₂²	1	2	yes	—
29	#376×C₇₃	C₂²	1	1	yes	characteristic
30	#340×C₇₃	C₂²	1	1	yes	characteristic
31	#340×C₇₃	C₂²	1	2	yes	—
32	#340×C₇₃	C₂²	1	1	yes	characteristic
33	#336×C₇₃	C₂²	1	2	yes	—
34	#336×C₇₃	C₂²	1	2	yes	—
35	C₂²×Q₈×C₇₃	—	2	2	no	—
36	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
37	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
38	C₂×Q₁₆×C₇₃	—	4	2	no	—
39	C₂×Q₁₆×C₇₃	—	4	1	no	—
40	C₂×SD₁₆×C₇₃	—	4	2	no	—
41	C₂×SD₁₆×C₇₃	—	4	2	no	—
42	C₂×SD₁₆×C₇₃	—	4	2	no	—
43	C₂×D₈×C₇₃	—	4	2	no	—
44	C₂×D₈×C₇₃	—	4	1	no	—
45	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
46	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
47	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
48	C₄⋊Q₈×C₇₃	—	4	2	no	—
49	C₄⋊Q₈×C₇₃	—	4	2	no	—
50	#124×C₇₃	—	4	2	no	—
51	#124×C₇₃	—	4	2	no	—
52	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
53	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
54	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
55	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
56	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
57	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
58	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
59	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
60	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
61	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
62	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
63	C₄⋊C₈×C₇₃	—	4	1	no	—
64	C₄⋊C₈×C₇₃	—	4	1	no	—
65	#103×C₇₃	—	4	2	no	—
66	#103×C₇₃	—	4	2	no	—
67	#102×C₇₃	—	4	2	no	—
68	#102×C₇₃	—	4	2	no	—
69	#95×C₇₃	—	2	2	no	—
70	#95×C₇₃	—	2	2	no	—
71	#95×C₇₃	—	2	2	no	—
72	#95×C₇₃	—	2	2	no	—
73	#95×C₇₃	D₄	1	1	yes	characteristic
74	#95×C₇₃	D₄	1	2	yes	—
75	#95×C₇₃	D₄	1	1	yes	characteristic
76	C₂⁴×C₇₃	—	2	2	no	—
77	C₂×Q₈×C₇₃	—	2	2	no	—
78	C₂×Q₈×C₇₃	—	2	2	no	—
79	C₂×Q₈×C₇₃	—	2	2	no	—
80	C₂×Q₈×C₇₃	—	2	2	no	—
81	C₂×Q₈×C₇₃	—	2	2	no	—
82	C₂×Q₈×C₇₃	—	2	2	no	—
83	C₂×Q₈×C₇₃	—	4	4	no	—
84	C₂×Q₈×C₇₃	—	8	2	no	—
85	C₂×Q₈×C₇₃	—	8	2	no	—
86	C₂×D₄×C₇₃	—	2	2	no	—
87	C₂×D₄×C₇₃	—	2	2	no	—
88	C₂×D₄×C₇₃	—	2	2	no	—
89	C₂×D₄×C₇₃	—	2	2	no	—
90	C₂×D₄×C₇₃	—	2	2	no	—
91	C₂×D₄×C₇₃	—	2	2	no	—
92	C₂²×C₄×C₇₃	—	2	2	no	—
93	C₂²×C₄×C₇₃	—	2	2	no	—
94	C₂²×C₄×C₇₃	—	2	2	no	—
95	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
98	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
99	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
100	Q₁₆×C₇₃	—	4	4	no	—
101	SD₁₆×C₇₃	—	4	8	no	—
102	D₈×C₇₃	—	4	4	no	—
103	C₂×C₈×C₇₃	—	2	2	no	—
104	C₂×C₈×C₇₃	—	2	2	no	—
105	C₂×C₈×C₇₃	—	2	2	no	—
106	C₂×C₈×C₇₃	—	2	2	no	—
107	C₂×C₈×C₇₃	—	2	1	no	—
108	C₂×C₈×C₇₃	—	2	2	no	—
109	C₂×C₈×C₇₃	—	2	1	no	—
110	C₄⋊C₄×C₇₃	—	2	2	no	—
111	C₄⋊C₄×C₇₃	—	2	2	no	—
112	C₄⋊C₄×C₇₃	—	2	2	no	—
113	C₄⋊C₄×C₇₃	—	2	2	no	—
114	C₄⋊C₄×C₇₃	—	4	4	no	—
115	C₂²⋊C₄×C₇₃	—	4	4	no	—
116	C₂²⋊C₄×C₇₃	—	4	4	no	—
117	C₂²⋊C₄×C₇₃	—	8	2	no	—
118	C₂²⋊C₄×C₇₃	—	8	2	no	—
119	C₂²⋊C₄×C₇₃	—	8	2	no	—
120	C₂²⋊C₄×C₇₃	—	8	2	no	—
121	C₄²×C₇₃	—	2	1	no	—
122	C₄²×C₇₃	—	2	2	no	—
123	C₄²×C₇₃	—	2	2	no	—
124	C₄²×C₇₃	—	2	1	no	—
125	C₂³×C₇₃	—	4	2	no	—
126	C₂³×C₇₃	—	4	2	no	—
127	C₂³×C₇₃	—	4	2	no	—
128	C₂³×C₇₃	—	4	2	no	—
129	C₂³×C₇₃	—	4	2	no	—
130	C₂³×C₇₃	—	4	2	no	—
131	C₂³×C₇₃	—	4	2	no	—
132	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
133	Q₈×C₇₃	—	4	2	no	—
134	Q₈×C₇₃	—	4	2	no	—
135	Q₈×C₇₃	—	4	2	no	—
136	Q₈×C₇₃	—	4	2	no	—
137	Q₈×C₇₃	—	8	8	no	—
138	D₄×C₇₃	—	4	2	no	—
139	D₄×C₇₃	—	4	2	no	—
140	D₄×C₇₃	—	4	2	no	—
141	D₄×C₇₃	—	4	2	no	—
142	C₂×C₄×C₇₃	—	2	2	no	—
143	C₂×C₄×C₇₃	—	2	2	no	—
144	C₂×C₄×C₇₃	—	2	1	no	—
145	C₂×C₄×C₇₃	—	2	1	no	—
146	C₂×C₄×C₇₃	—	2	1	no	—
147	C₂×C₄×C₇₃	—	2	2	no	—
148	C₂×C₄×C₇₃	—	2	2	no	—
149	C₂×C₄×C₇₃	—	2	2	no	—
150	C₂×C₄×C₇₃	—	2	2	no	—
151	C₂×C₄×C₇₃	—	2	2	no	—
152	C₂×C₄×C₇₃	—	2	1	no	—
153	C₂×C₄×C₇₃	—	4	2	no	—
154	C₂×C₄×C₇₃	—	4	2	no	—
155	C₂×C₄×C₇₃	—	4	2	no	—
156	C₂×C₄×C₇₃	—	4	2	no	—
157	C₂×C₄×C₇₃	—	4	2	no	—
158	C₂×C₄×C₇₃	—	4	2	no	—
159	C₂×C₄×C₇₃	—	4	2	no	—
160	C₂×C₄×C₇₃	—	4	2	no	—
161	C₂×C₄×C₇₃	—	4	2	no	—
162	C₂×C₄×C₇₃	H(5,𝔽₂)	1	1	yes	characteristic
163	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
164	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
165	C₂×C₄×C₇₃	2₋¹⁺⁴	1	1	yes	characteristic
166	C₈×C₇₃	—	4	1	no	—
167	C₈×C₇₃	—	4	2	no	—
168	C₈×C₇₃	—	4	1	no	—
169	C₂²×C₇₃	—	8	2	no	—
170	C₂²×C₇₃	—	8	2	no	—
171	C₂²×C₇₃	—	8	2	no	—
172	C₂²×C₇₃	—	8	2	no	—
173	C₂²×C₇₃	—	8	2	no	—
174	C₂²×C₇₃	—	8	2	no	—
175	C₂²×C₇₃	—	8	2	no	—
176	C₂²×C₇₃	#535	1	2	yes	—
177	C₂²×C₇₃	#537	1	1	yes	characteristic
178	C₂²×C₇₃	#576	1	1	yes	characteristic
179	C₂²×C₇₃	#577	1	2	yes	—
180	C₂²×C₇₃	#578	1	1	yes	characteristic
181	C₄×C₇₃	—	4	2	no	—
182	C₄×C₇₃	—	4	2	no	—
183	C₄×C₇₃	—	4	1	no	—
184	C₄×C₇₃	—	4	1	no	—
185	C₄×C₇₃	—	8	2	no	—
186	C₄×C₇₃	—	8	2	no	—
187	C₄×C₇₃	—	8	2	no	—
188	C₄×C₇₃	H(3,𝔽₄)	1	1	yes	characteristic
189	C₄×C₇₃	H(3,𝔽₄)	1	1	yes	characteristic
190	C₄×C₇₃	#562	1	2	yes	—
191	#32817	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
192	C₂×C₇₃	—	16	2	no	—
193	C₂×C₇₃	#2819	1	1	yes	characteristic
194	C₂×C₇₃	#3224	1	2	yes	—
195	C₂×C₇₃	#3225	1	2	yes	—
196	C₂×C₇₃	#3262	1	1	yes	characteristic
197	C₂×C₇₃	#3263	1	1	yes	characteristic
198	#2640	C₂×C₇₃	1	2	yes	complemented
199	#2056	C₂×C₇₃	1	1	yes	characteristic, complemented
200	#2055	C₂×C₇₃	1	2	yes	complemented
201	#2054	C₂×C₇₃	1	1	yes	characteristic
202	#2024	C₂×C₇₃	1	2	yes	complemented
203	#2023	C₂×C₇₃	1	2	yes	complemented
204	#2015	C₂×C₇₃	1	2	yes	complemented
205	#2012	C₂×C₇₃	1	2	yes	—
206	#1832	C₂×C₇₃	1	1	yes	characteristic, complemented
207	C₇₃	#32817	1	1	yes	characteristic, direct product factor, Sylow
208	C₂²×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
209	C₂²×SD₁₆	C₂²×C₇₃	1	2	yes	—
210	C₂²×D₈	C₂²×C₇₃	1	1	yes	characteristic
211	C₂×C₄⋊Q₈	C₂²×C₇₃	1	2	yes	—
212	C₂×#124	C₂²×C₇₃	1	2	yes	—
213	C₂×C₄⋊C₈	C₂²×C₇₃	1	1	yes	characteristic
214	C₂×C₄⋊C₈	C₂²×C₇₃	1	1	yes	characteristic
215	C₂×#103	C₂²×C₇₃	1	2	yes	—
216	C₂×#103	C₂²×C₇₃	1	2	yes	—
217	C₂×#102	C₂²×C₇₃	1	2	yes	—
218	C₂×#102	C₂²×C₇₃	1	2	yes	—
219	#397	—	2	2	no	—
220	#397	—	2	2	no	—
221	#393	—	2	2	no	—
222	#393	—	2	2	no	—
223	#391	C₂²×C₇₃	1	2	yes	—
224	#391	C₂²×C₇₃	1	2	yes	—
225	#390	C₂²×C₇₃	1	2	yes	—
226	#390	C₂²×C₇₃	1	2	yes	—
227	#376	C₂²×C₇₃	1	1	yes	characteristic
228	#340	C₂²×C₇₃	1	1	yes	characteristic
229	#340	C₂²×C₇₃	1	2	yes	—
230	#340	C₂²×C₇₃	1	1	yes	characteristic
231	#336	C₂²×C₇₃	1	2	yes	—
232	#336	C₂²×C₇₃	1	2	yes	—
233	C₂²×Q₈	—	2	2	no	—
234	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
235	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
236	C₂×Q₁₆	—	4	2	no	—
237	C₂×Q₁₆	—	4	1	no	—
238	C₂×SD₁₆	—	4	2	no	—
239	C₂×SD₁₆	—	4	2	no	—
240	C₂×SD₁₆	—	4	2	no	—
241	C₂×D₈	—	4	2	no	—
242	C₂×D₈	—	4	1	no	—
243	C₂²×C₈	C₂³×C₇₃	1	1	yes	characteristic
244	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
245	C₂²×C₈	C₂³×C₇₃	1	1	yes	characteristic
246	C₄⋊Q₈	—	4	2	no	—
247	C₄⋊Q₈	—	4	2	no	—
248	#124	—	4	2	no	—
249	#124	—	4	2	no	—
250	C₂×C₄⋊C₄	—	2	2	no	—
251	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
252	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
253	C₂×C₂²⋊C₄	—	2	2	no	—
254	C₂×C₂²⋊C₄	—	2	2	no	—
255	C₂×C₂²⋊C₄	—	2	2	no	—
256	C₂×C₂²⋊C₄	—	2	2	no	—
257	C₂×C₂²⋊C₄	—	2	2	no	—
258	C₂×C₂²⋊C₄	—	2	2	no	—
259	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
260	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
261	C₄⋊C₈	—	4	1	no	—
262	C₄⋊C₈	—	4	1	no	—
263	#103	—	4	2	no	—
264	#103	—	4	2	no	—
265	#102	—	4	2	no	—
266	#102	—	4	2	no	—
267	#95	—	2	2	no	—
268	#95	—	2	2	no	—
269	#95	—	2	2	no	—
270	#95	—	2	2	no	—
271	#95	D₄×C₇₃	1	1	yes	characteristic
272	#95	D₄×C₇₃	1	2	yes	—
273	#95	D₄×C₇₃	1	1	yes	characteristic
274	C₂⁴	—	2	2	no	—
275	C₂×Q₈	—	2	2	no	—
276	C₂×Q₈	—	2	2	no	—
277	C₂×Q₈	—	2	2	no	—
278	C₂×Q₈	—	2	2	no	—
279	C₂×Q₈	—	2	2	no	—
280	C₂×Q₈	—	2	2	no	—
281	C₂×Q₈	—	4	4	no	—
282	C₂×Q₈	—	8	2	no	—
283	C₂×Q₈	—	8	2	no	—
284	C₂×D₄	—	2	2	no	—
285	C₂×D₄	—	2	2	no	—
286	C₂×D₄	—	2	2	no	—
287	C₂×D₄	—	2	2	no	—
288	C₂×D₄	—	2	2	no	—
289	C₂×D₄	—	2	2	no	—
290	C₂²×C₄	—	2	2	no	—
291	C₂²×C₄	—	2	2	no	—
292	C₂²×C₄	—	2	2	no	—
293	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
294	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
295	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
296	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
297	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
298	Q₁₆	—	4	4	no	—
299	SD₁₆	—	4	8	no	—
300	D₈	—	4	4	no	—
301	C₂×C₈	—	2	2	no	—
302	C₂×C₈	—	2	2	no	—
303	C₂×C₈	—	2	2	no	—
304	C₂×C₈	—	2	2	no	—
305	C₂×C₈	—	2	1	no	—
306	C₂×C₈	—	2	2	no	—
307	C₂×C₈	—	2	1	no	—
308	C₄⋊C₄	—	2	2	no	—
309	C₄⋊C₄	—	2	2	no	—
310	C₄⋊C₄	—	2	2	no	—
311	C₄⋊C₄	—	2	2	no	—
312	C₄⋊C₄	—	4	4	no	—
313	C₂²⋊C₄	—	4	4	no	—
314	C₂²⋊C₄	—	4	4	no	—
315	C₂²⋊C₄	—	8	2	no	—
316	C₂²⋊C₄	—	8	2	no	—
317	C₂²⋊C₄	—	8	2	no	—
318	C₂²⋊C₄	—	8	2	no	—
319	C₄²	—	2	1	no	—
320	C₄²	—	2	2	no	—
321	C₄²	—	2	2	no	—
322	C₄²	—	2	1	no	—
323	C₂³	—	4	2	no	—
324	C₂³	—	4	2	no	—
325	C₂³	—	4	2	no	—
326	C₂³	—	4	2	no	—
327	C₂³	—	4	2	no	—
328	C₂³	—	4	2	no	—
329	C₂³	—	4	2	no	—
330	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
331	Q₈	—	4	2	no	—
332	Q₈	—	4	2	no	—
333	Q₈	—	4	2	no	—
334	Q₈	—	4	2	no	—
335	Q₈	—	8	8	no	—
336	D₄	—	4	2	no	—
337	D₄	—	4	2	no	—
338	D₄	—	4	2	no	—
339	D₄	—	4	2	no	—
340	C₂×C₄	—	2	2	no	—
341	C₂×C₄	—	2	2	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	2	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	2	2	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	2	2	no	—
350	C₂×C₄	—	2	1	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	4	2	no	—
355	C₂×C₄	—	4	2	no	—
356	C₂×C₄	—	4	2	no	—
357	C₂×C₄	—	4	2	no	—
358	C₂×C₄	—	4	2	no	—
359	C₂×C₄	—	4	2	no	—
360	C₂×C₄	H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
361	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
362	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
363	C₂×C₄	2₋¹⁺⁴×C₇₃	1	1	yes	characteristic
364	C₈	—	4	1	no	—
365	C₈	—	4	2	no	—
366	C₈	—	4	1	no	—
367	C₂²	—	8	2	no	—
368	C₂²	—	8	2	no	—
369	C₂²	—	8	2	no	—
370	C₂²	—	8	2	no	—
371	C₂²	—	8	2	no	—
372	C₂²	—	8	2	no	—
373	C₂²	—	8	2	no	—
374	C₂²	#535×C₇₃	1	2	yes	—
375	C₂²	#537×C₇₃	1	1	yes	characteristic
376	C₂²	#576×C₇₃	1	1	yes	characteristic
377	C₂²	#577×C₇₃	1	2	yes	—
378	C₂²	#578×C₇₃	1	1	yes	characteristic
379	C₄	—	4	2	no	—
380	C₄	—	4	2	no	—
381	C₄	—	4	1	no	—
382	C₄	—	4	1	no	—
383	C₄	—	8	2	no	—
384	C₄	—	8	2	no	—
385	C₄	—	8	2	no	—
386	C₄	H(3,𝔽₄)×C₇₃	1	1	yes	characteristic
387	C₄	H(3,𝔽₄)×C₇₃	1	1	yes	characteristic
388	C₄	#562×C₇₃	1	2	yes	—
389	C₂	—	16	2	no	—
390	C₂	C₇₃×#2819	1	1	yes	characteristic
391	C₂	C₇₃×#3224	1	2	yes	—
392	C₂	C₇₃×#3225	1	2	yes	—
393	C₂	C₇₃×#3262	1	1	yes	characteristic
394	C₂	C₇₃×#3263	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₇₃
prime radical	C₂²×D₈×C₇₃	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₇₃ ◁ #376×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇₃×#2640	C₂	semidirect
2. C₇₃×#2056	C₂	semidirect
3. C₇₃×#2055	C₂	semidirect
5. C₇₃×#2024	C₂	semidirect
6. C₇₃×#2023	C₂	semidirect
7. C₇₃×#2015	C₂	semidirect
9. C₇₃×#1832	C₂	semidirect
191. #32817	C₇₃	direct (N × H)
198. #2640	C₂×C₇₃	semidirect
199. #2056	C₂×C₇₃	semidirect
200. #2055	C₂×C₇₃	semidirect
202. #2024	C₂×C₇₃	semidirect
203. #2023	C₂×C₇₃	semidirect
204. #2015	C₂×C₇₃	semidirect
206. #1832	C₂×C₇₃	semidirect
207. C₇₃	#32817	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇₃×#2640	2
C₇₃×#2056	2
C₇₃×#2055	2
C₇₃×#2054	2
C₇₃×#2024	2
C₇₃×#2023	2
C₇₃×#2015	2
C₇₃×#2012	2
C₇₃×#1832	2
#32817	73

Subgroups — C73×#32817 #32942221

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#32817 #32942221