Subgroups — C₇₃×#10781 #32920185

Order 18688.

1350 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#520×C₇₃	C₂	1	1	yes	maximal, characteristic
2	C₂²×#104×C₇₃	C₂	1	1	yes	maximal, characteristic
3	C₂×#417×C₇₃	C₂	1	1	yes	maximal, characteristic
4	C₂×#343×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#1736	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#339×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×C₄⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic
9	C₂²×M₁₆×C₇₃	C₂²	1	1	yes	characteristic
10	C₂²×M₁₆×C₇₃	C₂²	1	1	yes	characteristic
11	#520×C₇₃	—	2	2	no	—
12	#520×C₇₃	—	2	2	no	—
13	#520×C₇₃	—	2	2	no	—
14	#520×C₇₃	C₄	1	4	yes	complemented
15	C₂×C₄×Q₈×C₇₃	—	2	1	no	—
16	C₂×C₄×D₄×C₇₃	—	2	1	no	—
17	C₂×C₄×D₄×C₇₃	—	2	2	no	—
18	C₂×#117×C₇₃	—	2	1	no	—
19	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
20	C₂²×C₄⋊C₄×C₇₃	—	2	1	no	—
21	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
22	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
23	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
24	C₂×#104×C₇₃	—	2	2	no	—
25	C₂×#104×C₇₃	—	2	2	no	—
26	C₂×#104×C₇₃	C₄	1	4	yes	complemented
27	#417×C₇₃	—	2	2	no	—
28	#417×C₇₃	C₄	1	4	yes	complemented
29	C₂×#103×C₇₃	—	2	1	no	—
30	C₂×#102×C₇₃	—	2	1	no	—
31	C₂×#95×C₇₃	—	2	2	no	—
32	#343×C₇₃	—	2	2	no	—
33	#340×C₇₃	—	2	1	no	—
34	#340×C₇₃	—	2	1	no	—
35	#339×C₇₃	—	2	2	no	—
36	C₂×#41×C₇₃	—	2	1	no	—
37	C₂×#41×C₇₃	—	2	1	no	—
38	C₂×#41×C₇₃	—	2	1	no	—
39	C₂×#41×C₇₃	—	2	1	no	—
40	C₂×#41×C₇₃	—	2	1	no	—
41	C₂×#41×C₇₃	—	2	1	no	—
42	C₂×#41×C₇₃	C₂×C₄	1	2	yes	—
43	C₂×#41×C₇₃	C₂×C₄	1	2	yes	—
44	C₂×#41×C₇₃	C₂×C₄	1	2	yes	—
45	C₂×#41×C₇₃	D₄	1	2	yes	—
46	C₂×#41×C₇₃	D₄	1	2	yes	—
47	C₂×#41×C₇₃	Q₈	1	2	yes	—
48	C₂²×Q₈×C₇₃	D₄	1	1	yes	characteristic
49	C₂²×D₄×C₇₃	—	2	1	no	—
50	C₂²×D₄×C₇₃	D₄	1	1	yes	characteristic
51	C₂³×C₄×C₇₃	—	2	1	no	—
52	C₂³×C₄×C₇₃	—	2	1	no	—
53	C₂³×C₄×C₇₃	—	2	2	no	—
54	C₂³×C₄×C₇₃	—	2	1	no	—
55	C₂³×C₄×C₇₃	D₄	1	2	yes	—
56	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
57	C₂×M₁₆×C₇₃	—	2	1	no	—
58	C₂×M₁₆×C₇₃	—	2	1	no	—
59	C₂×M₁₆×C₇₃	—	2	1	no	—
60	C₂×M₁₆×C₇₃	—	2	1	no	—
61	C₂×M₁₆×C₇₃	—	2	1	no	—
62	C₂×M₁₆×C₇₃	—	2	1	no	—
63	C₂×M₁₆×C₇₃	—	2	1	no	—
64	C₂×M₁₆×C₇₃	—	2	1	no	—
65	C₂×M₁₆×C₇₃	—	2	1	no	—
66	C₂×M₁₆×C₇₃	—	2	1	no	—
67	C₂×M₁₆×C₇₃	C₂×C₄	1	2	yes	complemented
68	C₂×M₁₆×C₇₃	C₂×C₄	1	2	yes	complemented
69	C₂²×C₈×C₇₃	—	2	1	no	—
70	C₂²×C₈×C₇₃	—	2	1	no	—
71	C₄×Q₈×C₇₃	—	2	4	no	—
72	C₄×Q₈×C₇₃	—	2	4	no	—
73	C₄×D₄×C₇₃	—	2	8	no	—
74	C₄×D₄×C₇₃	—	2	4	no	—
75	C₄×D₄×C₇₃	—	2	4	no	—
76	C₄×D₄×C₇₃	—	2	8	no	—
77	#117×C₇₃	—	2	4	no	—
78	#117×C₇₃	—	2	1	no	—
79	#117×C₇₃	—	2	1	no	—
80	#117×C₇₃	—	2	4	no	—
81	#117×C₇₃	C₂×C₄	1	2	yes	—
82	#117×C₇₃	D₄	1	2	yes	—
83	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
84	C₂×C₄⋊C₄×C₇₃	—	2	4	no	—
85	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
86	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
87	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
88	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
89	C₂×C₄⋊C₄×C₇₃	—	2	4	no	—
90	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
91	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
92	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
93	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
94	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
95	C₂×C₄⋊C₄×C₇₃	C₂×C₄	1	2	yes	—
96	C₂×C₄⋊C₄×C₇₃	C₂×C₄	1	2	yes	complemented
97	C₂×C₄⋊C₄×C₇₃	D₄	1	2	yes	—
98	C₂×C₄⋊C₄×C₇₃	D₄	1	1	yes	characteristic
99	C₂×C₄⋊C₄×C₇₃	D₄	1	1	yes	characteristic
100	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
101	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
102	C₂×C₄²×C₇₃	—	2	2	no	—
103	C₂×C₄²×C₇₃	—	2	1	no	—
104	C₂×C₄²×C₇₃	—	2	1	no	—
105	C₂×C₄²×C₇₃	—	2	1	no	—
106	C₂×C₄²×C₇₃	—	2	1	no	—
107	C₂×C₄²×C₇₃	—	2	1	no	—
108	C₂×C₄²×C₇₃	—	2	1	no	—
109	C₂×C₄²×C₇₃	C₂×C₄	1	2	yes	complemented
110	#104×C₇₃	—	2	8	no	—
111	#103×C₇₃	—	2	4	no	—
112	#102×C₇₃	—	2	4	no	—
113	#95×C₇₃	—	4	4	no	—
114	C₂⁴×C₇₃	—	2	1	no	—
115	C₂⁴×C₇₃	C₂×D₄	1	1	yes	characteristic
116	#41×C₇₃	—	2	2	no	—
117	#41×C₇₃	—	2	2	no	—
118	#41×C₇₃	—	2	2	no	—
119	#41×C₇₃	—	2	2	no	—
120	#41×C₇₃	—	2	2	no	—
121	#41×C₇₃	—	2	2	no	—
122	#41×C₇₃	—	2	2	no	—
123	#41×C₇₃	—	2	2	no	—
124	#41×C₇₃	—	2	2	no	—
125	#41×C₇₃	—	2	2	no	—
126	#41×C₇₃	—	2	2	no	—
127	#41×C₇₃	—	2	2	no	—
128	#41×C₇₃	C₄²	1	4	yes	—
129	#41×C₇₃	C₂²⋊C₄	1	4	yes	—
130	#41×C₇₃	C₄⋊C₄	1	4	yes	—
131	#41×C₇₃	C₄⋊C₄	1	4	yes	—
132	C₂×Q₈×C₇₃	—	2	1	no	—
133	C₂×Q₈×C₇₃	—	2	1	no	—
134	C₂×Q₈×C₇₃	—	2	1	no	—
135	C₂×Q₈×C₇₃	C₂²⋊C₄	1	2	yes	—
136	C₂×Q₈×C₇₃	C₂²⋊C₄	1	2	yes	—
137	C₂×Q₈×C₇₃	C₄⋊C₄	1	2	yes	—
138	C₂×D₄×C₇₃	—	2	2	no	—
139	C₂×D₄×C₇₃	—	2	2	no	—
140	C₂×D₄×C₇₃	—	2	2	no	—
141	C₂×D₄×C₇₃	—	2	2	no	—
142	C₂×D₄×C₇₃	—	2	2	no	—
143	C₂×D₄×C₇₃	—	2	2	no	—
144	C₂×D₄×C₇₃	—	2	1	no	—
145	C₂×D₄×C₇₃	—	2	1	no	—
146	C₂×D₄×C₇₃	—	2	1	no	—
147	C₂×D₄×C₇₃	C₂²⋊C₄	1	2	yes	—
148	C₂×D₄×C₇₃	C₂²⋊C₄	1	2	yes	—
149	C₂×D₄×C₇₃	C₄⋊C₄	1	2	yes	—
150	C₂²×C₄×C₇₃	—	2	1	no	—
151	C₂²×C₄×C₇₃	—	2	2	no	—
152	C₂²×C₄×C₇₃	—	2	2	no	—
153	C₂²×C₄×C₇₃	—	2	2	no	—
154	C₂²×C₄×C₇₃	—	2	2	no	—
155	C₂²×C₄×C₇₃	—	2	2	no	—
156	C₂²×C₄×C₇₃	—	2	2	no	—
157	C₂²×C₄×C₇₃	—	2	2	no	—
158	C₂²×C₄×C₇₃	—	2	2	no	—
159	C₂²×C₄×C₇₃	—	2	2	no	—
160	C₂²×C₄×C₇₃	—	2	1	no	—
161	C₂²×C₄×C₇₃	—	2	2	no	—
162	C₂²×C₄×C₇₃	—	2	1	no	—
163	C₂²×C₄×C₇₃	—	2	8	no	—
164	C₂²×C₄×C₇₃	—	2	2	no	—
165	C₂²×C₄×C₇₃	—	2	2	no	—
166	C₂²×C₄×C₇₃	—	4	1	no	—
167	C₂²×C₄×C₇₃	—	4	1	no	—
168	C₂²×C₄×C₇₃	—	4	1	no	—
169	C₂²×C₄×C₇₃	—	4	1	no	—
170	C₂²×C₄×C₇₃	—	4	2	no	—
171	C₂²×C₄×C₇₃	—	4	2	no	—
172	C₂²×C₄×C₇₃	—	4	2	no	—
173	C₂²×C₄×C₇₃	—	4	2	no	—
174	C₂²×C₄×C₇₃	—	4	1	no	—
175	C₂²×C₄×C₇₃	—	4	1	no	—
176	C₂²×C₄×C₇₃	—	8	2	no	—
177	C₂²×C₄×C₇₃	—	8	2	no	—
178	C₂²×C₄×C₇₃	C₂²⋊C₄	1	4	yes	—
179	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
180	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
181	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
182	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
183	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
184	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
185	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
186	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
187	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
188	C₂²×C₄×C₇₃	C₂×Q₈	1	1	yes	characteristic
189	C₂²×C₄×C₇₃	#41	1	1	yes	characteristic
190	C₂²×C₄×C₇₃	#41	1	1	yes	characteristic
191	C₂²×C₄×C₇₃	#41	1	1	yes	characteristic
192	C₂²×C₄×C₇₃	#41	1	1	yes	characteristic
193	M₁₆×C₇₃	—	2	2	no	—
194	M₁₆×C₇₃	—	2	2	no	—
195	M₁₆×C₇₃	—	2	2	no	—
196	M₁₆×C₇₃	—	2	2	no	—
197	M₁₆×C₇₃	—	4	1	no	—
198	M₁₆×C₇₃	—	4	1	no	—
199	M₁₆×C₇₃	—	4	1	no	—
200	M₁₆×C₇₃	—	4	1	no	—
201	C₂×C₈×C₇₃	—	2	2	no	—
202	C₂×C₈×C₇₃	—	2	2	no	—
203	C₂×C₈×C₇₃	—	4	1	no	—
204	C₂×C₈×C₇₃	—	4	1	no	—
205	C₂×C₈×C₇₃	—	4	1	no	—
206	C₂×C₈×C₇₃	—	4	1	no	—
207	C₄⋊C₄×C₇₃	—	2	8	no	—
208	C₄⋊C₄×C₇₃	—	2	2	no	—
209	C₄⋊C₄×C₇₃	—	2	2	no	—
210	C₄⋊C₄×C₇₃	—	2	2	no	—
211	C₄⋊C₄×C₇₃	—	2	1	no	—
212	C₄⋊C₄×C₇₃	—	2	2	no	—
213	C₄⋊C₄×C₇₃	—	2	1	no	—
214	C₄⋊C₄×C₇₃	—	2	2	no	—
215	C₄⋊C₄×C₇₃	—	2	2	no	—
216	C₄⋊C₄×C₇₃	—	4	1	no	—
217	C₄⋊C₄×C₇₃	—	4	1	no	—
218	C₄⋊C₄×C₇₃	C₂²⋊C₄	1	2	yes	—
219	C₄⋊C₄×C₇₃	C₂²⋊C₄	1	2	yes	—
220	C₂²⋊C₄×C₇₃	—	2	8	no	—
221	C₂²⋊C₄×C₇₃	—	2	2	no	—
222	C₂²⋊C₄×C₇₃	—	2	2	no	—
223	C₄²×C₇₃	—	2	8	no	—
224	C₄²×C₇₃	—	2	2	no	—
225	C₄²×C₇₃	—	2	2	no	—
226	C₄²×C₇₃	—	2	2	no	—
227	C₄²×C₇₃	—	2	2	no	—
228	C₄²×C₇₃	—	4	1	no	—
229	C₄²×C₇₃	—	4	1	no	—
230	C₂³×C₇₃	—	2	1	no	—
231	C₂³×C₇₃	—	2	1	no	—
232	C₂³×C₇₃	—	2	1	no	—
233	C₂³×C₇₃	—	2	1	no	—
234	C₂³×C₇₃	—	2	2	no	—
235	C₂³×C₇₃	—	2	2	no	—
236	C₂³×C₇₃	—	2	2	no	—
237	C₂³×C₇₃	—	4	1	no	—
238	C₂³×C₇₃	—	4	1	no	—
239	C₂³×C₇₃	—	4	1	no	—
240	C₂³×C₇₃	—	4	1	no	—
241	C₂³×C₇₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
242	C₂³×C₇₃	C₄×D₄	1	1	yes	characteristic
243	C₂³×C₇₃	C₄×D₄	1	1	yes	characteristic
244	C₂³×C₇₃	#120	1	1	yes	characteristic
245	C₂³×C₇₃	#120	1	1	yes	characteristic
246	C₂³×C₇₃	#121	1	1	yes	characteristic
247	C₂³×C₇₃	C₂²⋊Q₈	1	1	yes	characteristic
248	Q₈×C₇₃	—	2	2	no	—
249	Q₈×C₇₃	—	2	2	no	—
250	Q₈×C₇₃	—	2	2	no	—
251	Q₈×C₇₃	#95	1	4	yes	complemented
252	D₄×C₇₃	—	2	4	no	—
253	D₄×C₇₃	—	2	4	no	—
254	D₄×C₇₃	—	2	4	no	—
255	D₄×C₇₃	—	2	4	no	—
256	D₄×C₇₃	—	2	2	no	—
257	D₄×C₇₃	—	2	2	no	—
258	D₄×C₇₃	—	2	2	no	—
259	D₄×C₇₃	#95	1	4	yes	complemented
260	C₂×C₄×C₇₃	—	2	2	no	—
261	C₂×C₄×C₇₃	—	2	2	no	—
262	C₂×C₄×C₇₃	—	2	2	no	—
263	C₂×C₄×C₇₃	—	2	4	no	—
264	C₂×C₄×C₇₃	—	2	4	no	—
265	C₂×C₄×C₇₃	—	2	4	no	—
266	C₂×C₄×C₇₃	—	2	4	no	—
267	C₂×C₄×C₇₃	—	2	4	no	—
268	C₂×C₄×C₇₃	—	2	2	no	—
269	C₂×C₄×C₇₃	—	2	4	no	—
270	C₂×C₄×C₇₃	—	2	2	no	—
271	C₂×C₄×C₇₃	—	4	2	no	—
272	C₂×C₄×C₇₃	—	4	2	no	—
273	C₂×C₄×C₇₃	—	4	2	no	—
274	C₂×C₄×C₇₃	—	4	2	no	—
275	C₂×C₄×C₇₃	—	4	2	no	—
276	C₂×C₄×C₇₃	—	4	2	no	—
277	C₂×C₄×C₇₃	—	4	2	no	—
278	C₂×C₄×C₇₃	—	4	1	no	—
279	C₂×C₄×C₇₃	—	4	1	no	—
280	C₂×C₄×C₇₃	—	4	2	no	—
281	C₂×C₄×C₇₃	—	4	1	no	—
282	C₂×C₄×C₇₃	—	4	1	no	—
283	C₂×C₄×C₇₃	—	4	4	no	—
284	C₂×C₄×C₇₃	—	4	4	no	—
285	C₂×C₄×C₇₃	—	4	2	no	—
286	C₂×C₄×C₇₃	—	8	2	no	—
287	C₂×C₄×C₇₃	—	8	8	no	—
288	C₂×C₄×C₇₃	—	8	2	no	—
289	C₂×C₄×C₇₃	—	8	1	no	—
290	C₂×C₄×C₇₃	—	8	1	no	—
291	C₂×C₄×C₇₃	C₂×C₄²	1	1	yes	characteristic
292	C₂×C₄×C₇₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
293	C₂×C₄×C₇₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
294	C₂×C₄×C₇₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
295	C₂×C₄×C₇₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
296	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
297	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
298	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
299	C₂×C₄×C₇₃	#117	1	1	yes	characteristic
300	C₂×C₄×C₇₃	#117	1	1	yes	characteristic
301	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
302	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
303	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
304	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
305	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
306	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
307	C₂×C₄×C₇₃	#120	1	1	yes	characteristic
308	C₂×C₄×C₇₃	#120	1	1	yes	characteristic
309	C₂×C₄×C₇₃	#121	1	1	yes	characteristic
310	C₂×C₄×C₇₃	#121	1	1	yes	characteristic
311	C₂×C₄×C₇₃	#121	1	1	yes	characteristic
312	C₂×C₄×C₇₃	C₂²⋊Q₈	1	1	yes	characteristic
313	C₂×C₄×C₇₃	C₂²⋊Q₈	1	1	yes	characteristic
314	C₂×C₄×C₇₃	C₂²⋊Q₈	1	1	yes	characteristic
315	C₂×C₄×C₇₃	#123	1	1	yes	characteristic
316	C₂×C₄×C₇₃	#123	1	1	yes	characteristic
317	C₂×C₄×C₇₃	#123	1	1	yes	characteristic
318	C₂×C₄×C₇₃	#123	1	1	yes	characteristic
319	C₈×C₇₃	—	4	2	no	—
320	C₈×C₇₃	—	4	2	no	—
321	C₂²×C₇₃	—	2	1	no	—
322	C₂²×C₇₃	—	2	1	no	—
323	C₂²×C₇₃	—	2	1	no	—
324	C₂²×C₇₃	—	2	1	no	—
325	C₂²×C₇₃	—	2	1	no	—
326	C₂²×C₇₃	—	2	1	no	—
327	C₂²×C₇₃	—	2	1	no	—
328	C₂²×C₇₃	—	2	1	no	—
329	C₂²×C₇₃	—	2	1	no	—
330	C₂²×C₇₃	—	2	1	no	—
331	C₂²×C₇₃	—	2	1	no	—
332	C₂²×C₇₃	—	2	1	no	—
333	C₂²×C₇₃	—	2	4	no	—
334	C₂²×C₇₃	—	4	2	no	—
335	C₂²×C₇₃	—	4	2	no	—
336	C₂²×C₇₃	—	4	2	no	—
337	C₂²×C₇₃	—	4	2	no	—
338	C₂²×C₇₃	—	4	2	no	—
339	C₂²×C₇₃	—	4	2	no	—
340	C₂²×C₇₃	C₄×C₂²⋊C₄	1	1	yes	characteristic
341	C₂²×C₇₃	#379	1	1	yes	characteristic
342	C₂²×C₇₃	#380	1	1	yes	characteristic
343	C₂²×C₇₃	#385	1	1	yes	characteristic
344	C₂²×C₇₃	#385	1	1	yes	characteristic
345	C₂²×C₇₃	#386	1	1	yes	characteristic
346	C₂²×C₇₃	#386	1	1	yes	characteristic
347	C₂²×C₇₃	#453	1	1	yes	characteristic
348	C₂²×C₇₃	#454	1	1	yes	characteristic
349	C₂²×C₇₃	#455	1	1	yes	characteristic
350	C₂²×C₇₃	#456	1	1	yes	characteristic
351	C₄×C₇₃	—	2	4	no	—
352	C₄×C₇₃	—	4	4	no	—
353	C₄×C₇₃	—	4	4	no	—
354	C₄×C₇₃	—	4	2	no	—
355	C₄×C₇₃	—	4	2	no	—
356	C₄×C₇₃	—	8	2	no	—
357	C₄×C₇₃	C₂×#95	1	1	yes	characteristic
358	C₄×C₇₃	C₄×C₂²⋊C₄	1	1	yes	characteristic
359	C₄×C₇₃	#380	1	1	yes	characteristic
360	C₄×C₇₃	#381	1	1	yes	characteristic
361	C₄×C₇₃	#385	1	1	yes	characteristic
362	C₄×C₇₃	#385	1	1	yes	characteristic
363	C₄×C₇₃	#386	1	1	yes	characteristic
364	C₄×C₇₃	#386	1	1	yes	characteristic
365	#10781	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
366	C₂×C₇₃	—	2	1	no	—
367	C₂×C₇₃	—	2	1	no	—
368	C₂×C₇₃	—	2	1	no	—
369	C₂×C₇₃	—	2	1	no	—
370	C₂×C₇₃	—	4	4	no	—
371	C₂×C₇₃	C₂²⋊#95	1	1	yes	characteristic
372	C₂×C₇₃	#1792	1	1	yes	characteristic
373	C₂×C₇₃	#1793	1	1	yes	characteristic
374	C₂×C₇₃	#1859	1	1	yes	characteristic
375	C₂×C₇₃	#1860	1	1	yes	characteristic
376	C₂×C₇₃	#1882	1	1	yes	characteristic
377	C₂×C₇₃	#1883	1	1	yes	characteristic
378	C₂×#520	C₂×C₇₃	1	1	yes	characteristic
379	C₂²×#104	C₂×C₇₃	1	1	yes	characteristic
380	C₂×#417	C₂×C₇₃	1	1	yes	characteristic
381	C₂×#343	C₂×C₇₃	1	1	yes	characteristic, complemented
382	#1736	C₂×C₇₃	1	1	yes	characteristic, complemented
383	C₂×#339	C₂×C₇₃	1	1	yes	characteristic, complemented
384	C₄⋊#95	C₂×C₇₃	1	1	yes	characteristic, complemented
385	C₇₃	#10781	1	1	yes	characteristic, direct product factor, Sylow
386	C₂²×#41	C₂²×C₇₃	1	1	yes	characteristic
387	C₂²×M₁₆	C₂²×C₇₃	1	1	yes	characteristic
388	C₂²×M₁₆	C₂²×C₇₃	1	1	yes	characteristic
389	#520	—	2	2	no	—
390	#520	—	2	2	no	—
391	#520	—	2	2	no	—
392	#520	C₄×C₇₃	1	4	yes	complemented
393	C₂×C₄×Q₈	—	2	1	no	—
394	C₂×C₄×D₄	—	2	1	no	—
395	C₂×C₄×D₄	—	2	2	no	—
396	C₂×#117	—	2	1	no	—
397	C₂×#117	C₂²×C₇₃	1	1	yes	characteristic
398	C₂²×C₄⋊C₄	—	2	1	no	—
399	C₂²×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
400	C₂²×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
401	C₂²×C₄²	C₂²×C₇₃	1	1	yes	characteristic
402	C₂×#104	—	2	2	no	—
403	C₂×#104	—	2	2	no	—
404	C₂×#104	C₄×C₇₃	1	4	yes	complemented
405	#417	—	2	2	no	—
406	#417	C₄×C₇₃	1	4	yes	complemented
407	C₂×#103	—	2	1	no	—
408	C₂×#102	—	2	1	no	—
409	C₂×#95	—	2	2	no	—
410	#343	—	2	2	no	—
411	#340	—	2	1	no	—
412	#340	—	2	1	no	—
413	#339	—	2	2	no	—
414	C₂×#41	—	2	1	no	—
415	C₂×#41	—	2	1	no	—
416	C₂×#41	—	2	1	no	—
417	C₂×#41	—	2	1	no	—
418	C₂×#41	—	2	1	no	—
419	C₂×#41	—	2	1	no	—
420	C₂×#41	C₂×C₄×C₇₃	1	2	yes	—
421	C₂×#41	C₂×C₄×C₇₃	1	2	yes	—
422	C₂×#41	C₂×C₄×C₇₃	1	2	yes	—
423	C₂×#41	D₄×C₇₃	1	2	yes	—
424	C₂×#41	D₄×C₇₃	1	2	yes	—
425	C₂×#41	Q₈×C₇₃	1	2	yes	—
426	C₂²×Q₈	D₄×C₇₃	1	1	yes	characteristic
427	C₂²×D₄	—	2	1	no	—
428	C₂²×D₄	D₄×C₇₃	1	1	yes	characteristic
429	C₂³×C₄	—	2	1	no	—
430	C₂³×C₄	—	2	1	no	—
431	C₂³×C₄	—	2	2	no	—
432	C₂³×C₄	—	2	1	no	—
433	C₂³×C₄	D₄×C₇₃	1	2	yes	—
434	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
435	C₂×M₁₆	—	2	1	no	—
436	C₂×M₁₆	—	2	1	no	—
437	C₂×M₁₆	—	2	1	no	—
438	C₂×M₁₆	—	2	1	no	—
439	C₂×M₁₆	—	2	1	no	—
440	C₂×M₁₆	—	2	1	no	—
441	C₂×M₁₆	—	2	1	no	—
442	C₂×M₁₆	—	2	1	no	—
443	C₂×M₁₆	—	2	1	no	—
444	C₂×M₁₆	—	2	1	no	—
445	C₂×M₁₆	C₂×C₄×C₇₃	1	2	yes	complemented
446	C₂×M₁₆	C₂×C₄×C₇₃	1	2	yes	complemented
447	C₂²×C₈	—	2	1	no	—
448	C₂²×C₈	—	2	1	no	—
449	C₄×Q₈	—	2	4	no	—
450	C₄×Q₈	—	2	4	no	—
451	C₄×D₄	—	2	8	no	—
452	C₄×D₄	—	2	4	no	—
453	C₄×D₄	—	2	4	no	—
454	C₄×D₄	—	2	8	no	—
455	#117	—	2	4	no	—
456	#117	—	2	1	no	—
457	#117	—	2	1	no	—
458	#117	—	2	4	no	—
459	#117	C₂×C₄×C₇₃	1	2	yes	—
460	#117	D₄×C₇₃	1	2	yes	—
461	C₂×C₄⋊C₄	—	2	2	no	—
462	C₂×C₄⋊C₄	—	2	4	no	—
463	C₂×C₄⋊C₄	—	2	1	no	—
464	C₂×C₄⋊C₄	—	2	1	no	—
465	C₂×C₄⋊C₄	—	2	1	no	—
466	C₂×C₄⋊C₄	—	2	1	no	—
467	C₂×C₄⋊C₄	—	2	4	no	—
468	C₂×C₄⋊C₄	—	2	1	no	—
469	C₂×C₄⋊C₄	—	2	1	no	—
470	C₂×C₄⋊C₄	—	2	1	no	—
471	C₂×C₄⋊C₄	—	2	1	no	—
472	C₂×C₄⋊C₄	—	2	1	no	—
473	C₂×C₄⋊C₄	C₂×C₄×C₇₃	1	2	yes	—
474	C₂×C₄⋊C₄	C₂×C₄×C₇₃	1	2	yes	complemented
475	C₂×C₄⋊C₄	D₄×C₇₃	1	2	yes	—
476	C₂×C₄⋊C₄	D₄×C₇₃	1	1	yes	characteristic
477	C₂×C₄⋊C₄	D₄×C₇₃	1	1	yes	characteristic
478	C₂×C₂²⋊C₄	—	2	2	no	—
479	C₂×C₂²⋊C₄	—	2	1	no	—
480	C₂×C₄²	—	2	2	no	—
481	C₂×C₄²	—	2	1	no	—
482	C₂×C₄²	—	2	1	no	—
483	C₂×C₄²	—	2	1	no	—
484	C₂×C₄²	—	2	1	no	—
485	C₂×C₄²	—	2	1	no	—
486	C₂×C₄²	—	2	1	no	—
487	C₂×C₄²	C₂×C₄×C₇₃	1	2	yes	complemented
488	#104	—	2	8	no	—
489	#103	—	2	4	no	—
490	#102	—	2	4	no	—
491	#95	—	4	4	no	—
492	C₂⁴	—	2	1	no	—
493	C₂⁴	C₂×D₄×C₇₃	1	1	yes	characteristic
494	#41	—	2	2	no	—
495	#41	—	2	2	no	—
496	#41	—	2	2	no	—
497	#41	—	2	2	no	—
498	#41	—	2	2	no	—
499	#41	—	2	2	no	—
500	#41	—	2	2	no	—
501	#41	—	2	2	no	—
502	#41	—	2	2	no	—
503	#41	—	2	2	no	—
504	#41	—	2	2	no	—
505	#41	—	2	2	no	—
506	#41	C₄²×C₇₃	1	4	yes	—
507	#41	C₂²⋊C₄×C₇₃	1	4	yes	—
508	#41	C₄⋊C₄×C₇₃	1	4	yes	—
509	#41	C₄⋊C₄×C₇₃	1	4	yes	—
510	C₂×Q₈	—	2	1	no	—
511	C₂×Q₈	—	2	1	no	—
512	C₂×Q₈	—	2	1	no	—
513	C₂×Q₈	C₂²⋊C₄×C₇₃	1	2	yes	—
514	C₂×Q₈	C₂²⋊C₄×C₇₃	1	2	yes	—
515	C₂×Q₈	C₄⋊C₄×C₇₃	1	2	yes	—
516	C₂×D₄	—	2	2	no	—
517	C₂×D₄	—	2	2	no	—
518	C₂×D₄	—	2	2	no	—
519	C₂×D₄	—	2	2	no	—
520	C₂×D₄	—	2	2	no	—
521	C₂×D₄	—	2	2	no	—
522	C₂×D₄	—	2	1	no	—
523	C₂×D₄	—	2	1	no	—
524	C₂×D₄	—	2	1	no	—
525	C₂×D₄	C₂²⋊C₄×C₇₃	1	2	yes	—
526	C₂×D₄	C₂²⋊C₄×C₇₃	1	2	yes	—
527	C₂×D₄	C₄⋊C₄×C₇₃	1	2	yes	—
528	C₂²×C₄	—	2	1	no	—
529	C₂²×C₄	—	2	2	no	—
530	C₂²×C₄	—	2	2	no	—
531	C₂²×C₄	—	2	2	no	—
532	C₂²×C₄	—	2	2	no	—
533	C₂²×C₄	—	2	2	no	—
534	C₂²×C₄	—	2	2	no	—
535	C₂²×C₄	—	2	2	no	—
536	C₂²×C₄	—	2	2	no	—
537	C₂²×C₄	—	2	2	no	—
538	C₂²×C₄	—	2	1	no	—
539	C₂²×C₄	—	2	2	no	—
540	C₂²×C₄	—	2	1	no	—
541	C₂²×C₄	—	2	8	no	—
542	C₂²×C₄	—	2	2	no	—
543	C₂²×C₄	—	2	2	no	—
544	C₂²×C₄	—	4	1	no	—
545	C₂²×C₄	—	4	1	no	—
546	C₂²×C₄	—	4	1	no	—
547	C₂²×C₄	—	4	1	no	—
548	C₂²×C₄	—	4	2	no	—
549	C₂²×C₄	—	4	2	no	—
550	C₂²×C₄	—	4	2	no	—
551	C₂²×C₄	—	4	2	no	—
552	C₂²×C₄	—	4	1	no	—
553	C₂²×C₄	—	4	1	no	—
554	C₂²×C₄	—	8	2	no	—
555	C₂²×C₄	—	8	2	no	—
556	C₂²×C₄	C₂²⋊C₄×C₇₃	1	4	yes	—
557	C₂²×C₄	C₂²×C₄×C₇₃	1	1	yes	characteristic
558	C₂²×C₄	C₂²×C₄×C₇₃	1	1	yes	characteristic
559	C₂²×C₄	C₂²×C₄×C₇₃	1	1	yes	characteristic
560	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
561	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
562	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
563	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
564	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
565	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
566	C₂²×C₄	C₂×Q₈×C₇₃	1	1	yes	characteristic
567	C₂²×C₄	#41×C₇₃	1	1	yes	characteristic
568	C₂²×C₄	#41×C₇₃	1	1	yes	characteristic
569	C₂²×C₄	#41×C₇₃	1	1	yes	characteristic
570	C₂²×C₄	#41×C₇₃	1	1	yes	characteristic
571	M₁₆	—	2	2	no	—
572	M₁₆	—	2	2	no	—
573	M₁₆	—	2	2	no	—
574	M₁₆	—	2	2	no	—
575	M₁₆	—	4	1	no	—
576	M₁₆	—	4	1	no	—
577	M₁₆	—	4	1	no	—
578	M₁₆	—	4	1	no	—
579	C₂×C₈	—	2	2	no	—
580	C₂×C₈	—	2	2	no	—
581	C₂×C₈	—	4	1	no	—
582	C₂×C₈	—	4	1	no	—
583	C₂×C₈	—	4	1	no	—
584	C₂×C₈	—	4	1	no	—
585	C₄⋊C₄	—	2	8	no	—
586	C₄⋊C₄	—	2	2	no	—
587	C₄⋊C₄	—	2	2	no	—
588	C₄⋊C₄	—	2	2	no	—
589	C₄⋊C₄	—	2	1	no	—
590	C₄⋊C₄	—	2	2	no	—
591	C₄⋊C₄	—	2	1	no	—
592	C₄⋊C₄	—	2	2	no	—
593	C₄⋊C₄	—	2	2	no	—
594	C₄⋊C₄	—	4	1	no	—
595	C₄⋊C₄	—	4	1	no	—
596	C₄⋊C₄	C₂²⋊C₄×C₇₃	1	2	yes	—
597	C₄⋊C₄	C₂²⋊C₄×C₇₃	1	2	yes	—
598	C₂²⋊C₄	—	2	8	no	—
599	C₂²⋊C₄	—	2	2	no	—
600	C₂²⋊C₄	—	2	2	no	—
601	C₄²	—	2	8	no	—
602	C₄²	—	2	2	no	—
603	C₄²	—	2	2	no	—
604	C₄²	—	2	2	no	—
605	C₄²	—	2	2	no	—
606	C₄²	—	4	1	no	—
607	C₄²	—	4	1	no	—
608	C₂³	—	2	1	no	—
609	C₂³	—	2	1	no	—
610	C₂³	—	2	1	no	—
611	C₂³	—	2	1	no	—
612	C₂³	—	2	2	no	—
613	C₂³	—	2	2	no	—
614	C₂³	—	2	2	no	—
615	C₂³	—	4	1	no	—
616	C₂³	—	4	1	no	—
617	C₂³	—	4	1	no	—
618	C₂³	—	4	1	no	—
619	C₂³	C₂×C₂²⋊C₄×C₇₃	1	1	yes	characteristic
620	C₂³	C₄×D₄×C₇₃	1	1	yes	characteristic
621	C₂³	C₄×D₄×C₇₃	1	1	yes	characteristic
622	C₂³	#120×C₇₃	1	1	yes	characteristic
623	C₂³	#120×C₇₃	1	1	yes	characteristic
624	C₂³	#121×C₇₃	1	1	yes	characteristic
625	C₂³	C₂²⋊Q₈×C₇₃	1	1	yes	characteristic
626	Q₈	—	2	2	no	—
627	Q₈	—	2	2	no	—
628	Q₈	—	2	2	no	—
629	Q₈	#95×C₇₃	1	4	yes	complemented
630	D₄	—	2	4	no	—
631	D₄	—	2	4	no	—
632	D₄	—	2	4	no	—
633	D₄	—	2	4	no	—
634	D₄	—	2	2	no	—
635	D₄	—	2	2	no	—
636	D₄	—	2	2	no	—
637	D₄	#95×C₇₃	1	4	yes	complemented
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	2	no	—
641	C₂×C₄	—	2	4	no	—
642	C₂×C₄	—	2	4	no	—
643	C₂×C₄	—	2	4	no	—
644	C₂×C₄	—	2	4	no	—
645	C₂×C₄	—	2	4	no	—
646	C₂×C₄	—	2	2	no	—
647	C₂×C₄	—	2	4	no	—
648	C₂×C₄	—	2	2	no	—
649	C₂×C₄	—	4	2	no	—
650	C₂×C₄	—	4	2	no	—
651	C₂×C₄	—	4	2	no	—
652	C₂×C₄	—	4	2	no	—
653	C₂×C₄	—	4	2	no	—
654	C₂×C₄	—	4	2	no	—
655	C₂×C₄	—	4	2	no	—
656	C₂×C₄	—	4	1	no	—
657	C₂×C₄	—	4	1	no	—
658	C₂×C₄	—	4	2	no	—
659	C₂×C₄	—	4	1	no	—
660	C₂×C₄	—	4	1	no	—
661	C₂×C₄	—	4	4	no	—
662	C₂×C₄	—	4	4	no	—
663	C₂×C₄	—	4	2	no	—
664	C₂×C₄	—	8	2	no	—
665	C₂×C₄	—	8	8	no	—
666	C₂×C₄	—	8	2	no	—
667	C₂×C₄	—	8	1	no	—
668	C₂×C₄	—	8	1	no	—
669	C₂×C₄	C₂×C₄²×C₇₃	1	1	yes	characteristic
670	C₂×C₄	C₂×C₂²⋊C₄×C₇₃	1	1	yes	characteristic
671	C₂×C₄	C₂×C₂²⋊C₄×C₇₃	1	1	yes	characteristic
672	C₂×C₄	C₂×C₂²⋊C₄×C₇₃	1	1	yes	characteristic
673	C₂×C₄	C₂×C₂²⋊C₄×C₇₃	1	1	yes	characteristic
674	C₂×C₄	C₂×C₄⋊C₄×C₇₃	1	1	yes	characteristic
675	C₂×C₄	C₂×C₄⋊C₄×C₇₃	1	1	yes	characteristic
676	C₂×C₄	C₂×C₄⋊C₄×C₇₃	1	1	yes	characteristic
677	C₂×C₄	#117×C₇₃	1	1	yes	characteristic
678	C₂×C₄	#117×C₇₃	1	1	yes	characteristic
679	C₂×C₄	C₄×D₄×C₇₃	1	1	yes	characteristic
680	C₂×C₄	C₄×D₄×C₇₃	1	1	yes	characteristic
681	C₂×C₄	C₄×D₄×C₇₃	1	1	yes	characteristic
682	C₂×C₄	C₄×D₄×C₇₃	1	1	yes	characteristic
683	C₂×C₄	C₄×D₄×C₇₃	1	1	yes	characteristic
684	C₂×C₄	C₄×D₄×C₇₃	1	1	yes	characteristic
685	C₂×C₄	#120×C₇₃	1	1	yes	characteristic
686	C₂×C₄	#120×C₇₃	1	1	yes	characteristic
687	C₂×C₄	#121×C₇₃	1	1	yes	characteristic
688	C₂×C₄	#121×C₇₃	1	1	yes	characteristic
689	C₂×C₄	#121×C₇₃	1	1	yes	characteristic
690	C₂×C₄	C₂²⋊Q₈×C₇₃	1	1	yes	characteristic
691	C₂×C₄	C₂²⋊Q₈×C₇₃	1	1	yes	characteristic
692	C₂×C₄	C₂²⋊Q₈×C₇₃	1	1	yes	characteristic
693	C₂×C₄	#123×C₇₃	1	1	yes	characteristic
694	C₂×C₄	#123×C₇₃	1	1	yes	characteristic
695	C₂×C₄	#123×C₇₃	1	1	yes	characteristic
696	C₂×C₄	#123×C₇₃	1	1	yes	characteristic
697	C₈	—	4	2	no	—
698	C₈	—	4	2	no	—
699	C₂²	—	2	1	no	—
700	C₂²	—	2	1	no	—
701	C₂²	—	2	1	no	—
702	C₂²	—	2	1	no	—
703	C₂²	—	2	1	no	—
704	C₂²	—	2	1	no	—
705	C₂²	—	2	1	no	—
706	C₂²	—	2	1	no	—
707	C₂²	—	2	1	no	—
708	C₂²	—	2	1	no	—
709	C₂²	—	2	1	no	—
710	C₂²	—	2	1	no	—
711	C₂²	—	2	4	no	—
712	C₂²	—	4	2	no	—
713	C₂²	—	4	2	no	—
714	C₂²	—	4	2	no	—
715	C₂²	—	4	2	no	—
716	C₂²	—	4	2	no	—
717	C₂²	—	4	2	no	—
718	C₂²	C₄×C₂²⋊C₄×C₇₃	1	1	yes	characteristic
719	C₂²	#379×C₇₃	1	1	yes	characteristic
720	C₂²	#380×C₇₃	1	1	yes	characteristic
721	C₂²	#385×C₇₃	1	1	yes	characteristic
722	C₂²	#385×C₇₃	1	1	yes	characteristic
723	C₂²	#386×C₇₃	1	1	yes	characteristic
724	C₂²	#386×C₇₃	1	1	yes	characteristic
725	C₂²	#453×C₇₃	1	1	yes	characteristic
726	C₂²	#454×C₇₃	1	1	yes	characteristic
727	C₂²	#455×C₇₃	1	1	yes	characteristic
728	C₂²	#456×C₇₃	1	1	yes	characteristic
729	C₄	—	2	4	no	—
730	C₄	—	4	4	no	—
731	C₄	—	4	4	no	—
732	C₄	—	4	2	no	—
733	C₄	—	4	2	no	—
734	C₄	—	8	2	no	—
735	C₄	C₂×#95×C₇₃	1	1	yes	characteristic
736	C₄	C₄×C₂²⋊C₄×C₇₃	1	1	yes	characteristic
737	C₄	#380×C₇₃	1	1	yes	characteristic
738	C₄	#381×C₇₃	1	1	yes	characteristic
739	C₄	#385×C₇₃	1	1	yes	characteristic
740	C₄	#385×C₇₃	1	1	yes	characteristic
741	C₄	#386×C₇₃	1	1	yes	characteristic
742	C₄	#386×C₇₃	1	1	yes	characteristic
743	C₂	—	2	1	no	—
744	C₂	—	2	1	no	—
745	C₂	—	2	1	no	—
746	C₂	—	2	1	no	—
747	C₂	—	4	4	no	—
748	C₂	C₇₃×C₂²⋊#95	1	1	yes	characteristic
749	C₂	C₇₃×#1792	1	1	yes	characteristic
750	C₂	C₇₃×#1793	1	1	yes	characteristic
751	C₂	C₇₃×#1859	1	1	yes	characteristic
752	C₂	C₇₃×#1860	1	1	yes	characteristic
753	C₂	C₇₃×#1882	1	1	yes	characteristic
754	C₂	C₇₃×#1883	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	#120
commutator	C₂×C₄	C₂×C₄²×C₇₃
Frattini, cosocle	C₂³×C₄	C₂³×C₇₃
prime radical	C₂²×#41×C₇₃	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₇₃ ◁ C₂³×C₄×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₂×#343×C₇₃	C₂	semidirect
5. C₇₃×#1736	C₂	semidirect
6. C₂×#339×C₇₃	C₂	semidirect
7. C₇₃×C₄⋊#95	C₂	semidirect
14. #520×C₇₃	C₄	semidirect
26. C₂×#104×C₇₃	C₄	semidirect
28. #417×C₇₃	C₄	semidirect
67. C₂×M₁₆×C₇₃	C₂×C₄	semidirect
68. C₂×M₁₆×C₇₃	C₂×C₄	semidirect
96. C₂×C₄⋊C₄×C₇₃	C₂×C₄	semidirect
109. C₂×C₄²×C₇₃	C₂×C₄	semidirect
251. Q₈×C₇₃	#95	semidirect
259. D₄×C₇₃	#95	semidirect
365. #10781	C₇₃	direct (N × H)
381. C₂×#343	C₂×C₇₃	semidirect
382. #1736	C₂×C₇₃	semidirect
383. C₂×#339	C₂×C₇₃	semidirect
384. C₄⋊#95	C₂×C₇₃	semidirect
385. C₇₃	#10781	direct (N × H)
392. #520	C₄×C₇₃	semidirect
404. C₂×#104	C₄×C₇₃	semidirect
406. #417	C₄×C₇₃	semidirect
445. C₂×M₁₆	C₂×C₄×C₇₃	semidirect
446. C₂×M₁₆	C₂×C₄×C₇₃	semidirect
474. C₂×C₄⋊C₄	C₂×C₄×C₇₃	semidirect
487. C₂×C₄²	C₂×C₄×C₇₃	semidirect
629. Q₈	#95×C₇₃	semidirect
637. D₄	#95×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#520×C₇₃	2
C₂²×#104×C₇₃	2
C₂×#417×C₇₃	2
C₂×#343×C₇₃	2
C₇₃×#1736	2
C₂×#339×C₇₃	2
C₇₃×C₄⋊#95	2
#10781	73

Subgroups — C73×#10781 #32920185

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#10781 #32920185