Subgroups — C₇₃×#18786 #32928190

Order 18688.

1322 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×#41×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₃×#3205	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#3038	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#459×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#1627	C₂	1	2	yes	maximal, complemented
6	C₇₃×#1625	C₂	1	2	yes	maximal, complemented
7	C₇₃×#1621	C₂	1	2	yes	maximal, complemented
8	C₇₃×#1619	C₂	1	2	yes	maximal, complemented
9	C₇₃×#1547	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₃×#1486	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#1477	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#41×C₇₃	—	2	1	no	—
13	C₂×AGL(1,ℤ/8)×C₇₃	—	2	1	no	—
14	C₂²×D₈×C₇₃	—	2	1	no	—
15	#550×C₇₃	C₂²	1	1	yes	characteristic, complemented
16	D₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
17	#548×C₇₃	—	2	1	no	—
18	#547×C₇₃	—	2	1	no	—
19	#547×C₇₃	C₂²	1	1	yes	characteristic, complemented
20	#546×C₇₃	—	2	2	no	—
21	#546×C₇₃	—	2	1	no	—
22	D₄²×C₇₃	—	2	1	no	—
23	D₄²×C₇₃	C₂²	1	1	yes	characteristic, complemented
24	#532×C₇₃	—	2	1	no	—
25	#532×C₇₃	C₂²	1	1	yes	characteristic
26	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic, complemented
27	#525×C₇₃	—	2	2	no	—
28	#525×C₇₃	—	2	1	no	—
29	C₄×#41×C₇₃	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₄×C₇₃	—	2	1	no	—
31	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
32	#493×C₇₃	C₂²	1	2	yes	complemented
33	#486×C₇₃	C₂²	1	2	yes	complemented
34	#460×C₇₃	—	2	1	no	—
35	#460×C₇₃	C₂²	1	2	yes	complemented
36	#459×C₇₃	—	2	1	no	—
37	#459×C₇₃	—	2	1	no	—
38	#459×C₇₃	—	2	1	no	—
39	#459×C₇₃	—	2	2	no	—
40	#459×C₇₃	C₂²	1	2	yes	—
41	#459×C₇₃	C₂²	1	2	yes	complemented
42	#459×C₇₃	C₂²	1	2	yes	complemented
43	#447×C₇₃	—	2	2	no	—
44	#431×C₇₃	C₂²	1	1	yes	characteristic, complemented
45	#423×C₇₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄⋊C₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
47	#418×C₇₃	—	2	1	no	—
48	C₂×#102×C₇₃	—	2	1	no	—
49	#332×C₇₃	C₂²	1	2	yes	complemented
50	#331×C₇₃	C₂²	1	2	yes	complemented
51	Q₈⋊C₈×C₇₃	C₂²	1	2	yes	complemented
52	D₄⋊C₈×C₇₃	C₂²	1	2	yes	complemented
53	D₄⋊C₈×C₇₃	C₂²	1	2	yes	complemented
54	D₄⋊C₈×C₇₃	C₂²	1	2	yes	complemented
55	C₂×#41×C₇₃	—	2	2	no	—
56	C₂×#41×C₇₃	—	2	2	no	—
57	C₂×#41×C₇₃	—	2	1	no	—
58	C₂×#41×C₇₃	—	2	1	no	—
59	C₂×#41×C₇₃	—	2	1	no	—
60	C₂×#41×C₇₃	—	4	4	no	—
61	C₂×#41×C₇₃	—	4	4	no	—
62	C₂×#41×C₇₃	D₄	1	1	yes	characteristic
63	C₂²×Q₈×C₇₃	—	2	1	no	—
64	C₂²×D₄×C₇₃	—	2	2	no	—
65	C₂²×D₄×C₇₃	—	2	1	no	—
66	C₂²×D₄×C₇₃	—	2	1	no	—
67	C₂²×D₄×C₇₃	—	2	1	no	—
68	C₂²×D₄×C₇₃	—	2	1	no	—
69	C₂²×D₄×C₇₃	—	2	1	no	—
70	C₂²×D₄×C₇₃	D₄	1	1	yes	characteristic
71	C₂³×C₄×C₇₃	—	2	2	no	—
72	C₂³×C₄×C₇₃	—	2	1	no	—
73	AGL(1,ℤ/8)×C₇₃	—	4	4	no	—
74	C₂×SD₁₆×C₇₃	—	2	2	no	—
75	C₂×D₈×C₇₃	—	2	2	no	—
76	C₂×D₈×C₇₃	—	2	2	no	—
77	C₂×D₈×C₇₃	—	2	2	no	—
78	C₂×D₈×C₇₃	—	2	4	no	—
79	C₂×D₈×C₇₃	—	4	4	no	—
80	C₂×M₁₆×C₇₃	—	2	1	no	—
81	C₂²×C₈×C₇₃	—	2	1	no	—
82	C₄⋊Q₈×C₇₃	—	2	1	no	—
83	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
84	#127×C₇₃	—	2	1	no	—
85	#127×C₇₃	—	2	1	no	—
86	#127×C₇₃	—	2	1	no	—
87	#127×C₇₃	—	2	1	no	—
88	#127×C₇₃	C₂³	1	2	yes	—
89	#127×C₇₃	C₂³	1	1	yes	characteristic
90	#124×C₇₃	—	2	2	no	—
91	#124×C₇₃	—	2	1	no	—
92	#123×C₇₃	—	2	2	no	—
93	#123×C₇₃	—	2	2	no	—
94	#123×C₇₃	—	2	2	no	—
95	C₂²⋊Q₈×C₇₃	—	2	2	no	—
96	C₂²⋊Q₈×C₇₃	—	2	1	no	—
97	C₂²⋊Q₈×C₇₃	—	2	2	no	—
98	C₂²⋊Q₈×C₇₃	—	2	1	no	—
99	#121×C₇₃	—	2	2	no	—
100	#121×C₇₃	—	2	2	no	—
101	#121×C₇₃	—	2	2	no	—
102	#121×C₇₃	—	2	1	no	—
103	#121×C₇₃	—	2	1	no	—
104	#121×C₇₃	—	2	1	no	—
105	#121×C₇₃	—	2	1	no	—
106	#121×C₇₃	—	2	1	no	—
107	#121×C₇₃	D₄	1	2	yes	—
108	#120×C₇₃	—	2	2	no	—
109	#120×C₇₃	—	2	2	no	—
110	#120×C₇₃	—	2	2	no	—
111	C₄×Q₈×C₇₃	D₄	1	1	yes	characteristic
112	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
113	C₄×D₄×C₇₃	—	2	2	no	—
114	C₄×D₄×C₇₃	—	2	2	no	—
115	C₄×D₄×C₇₃	—	2	2	no	—
116	C₄×D₄×C₇₃	—	2	1	no	—
117	C₄×D₄×C₇₃	—	2	1	no	—
118	C₄×D₄×C₇₃	—	2	1	no	—
119	C₄×D₄×C₇₃	—	2	1	no	—
120	C₄×D₄×C₇₃	—	2	1	no	—
121	C₄×D₄×C₇₃	—	2	1	no	—
122	C₄×D₄×C₇₃	—	2	1	no	—
123	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
124	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
125	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
126	C₄×D₄×C₇₃	D₄	1	2	yes	—
127	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
128	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
129	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
130	#117×C₇₃	—	2	1	no	—
131	#117×C₇₃	D₄	1	1	yes	characteristic
132	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
133	C₂×C₄⋊C₄×C₇₃	D₄	1	1	yes	characteristic
134	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
135	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
136	C₂×C₄²×C₇₃	—	2	1	no	—
137	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
138	C₄⋊C₈×C₇₃	—	2	1	no	—
139	C₄⋊C₈×C₇₃	—	2	1	no	—
140	C₄⋊C₈×C₇₃	—	2	1	no	—
141	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
142	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
143	#102×C₇₃	—	2	2	no	—
144	#102×C₇₃	—	2	2	no	—
145	#102×C₇₃	—	2	2	no	—
146	#102×C₇₃	—	2	2	no	—
147	#102×C₇₃	—	2	4	no	—
148	C₂²⋊C₈×C₇₃	—	2	1	no	—
149	C₄×C₈×C₇₃	C₂³	1	2	yes	—
150	C₂⁴×C₇₃	—	2	2	no	—
151	C₂⁴×C₇₃	—	2	1	no	—
152	C₂⁴×C₇₃	—	4	1	no	—
153	#41×C₇₃	—	2	2	no	—
154	#41×C₇₃	—	4	8	no	—
155	#41×C₇₃	—	4	8	no	—
156	#41×C₇₃	—	4	2	no	—
157	#41×C₇₃	—	4	2	no	—
158	#41×C₇₃	—	4	2	no	—
159	#41×C₇₃	—	4	2	no	—
160	#41×C₇₃	—	4	2	no	—
161	#41×C₇₃	—	4	2	no	—
162	#41×C₇₃	D₈	1	4	yes	complemented
163	C₂×Q₈×C₇₃	—	2	2	no	—
164	C₂×Q₈×C₇₃	—	2	1	no	—
165	C₂×Q₈×C₇₃	—	4	2	no	—
166	C₂×Q₈×C₇₃	—	4	2	no	—
167	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
168	C₂×D₄×C₇₃	—	2	1	no	—
169	C₂×D₄×C₇₃	—	2	2	no	—
170	C₂×D₄×C₇₃	—	2	2	no	—
171	C₂×D₄×C₇₃	—	2	2	no	—
172	C₂×D₄×C₇₃	—	2	2	no	—
173	C₂×D₄×C₇₃	—	2	2	no	—
174	C₂×D₄×C₇₃	—	2	2	no	—
175	C₂×D₄×C₇₃	—	2	2	no	—
176	C₂×D₄×C₇₃	—	2	1	no	—
177	C₂×D₄×C₇₃	—	2	1	no	—
178	C₂×D₄×C₇₃	—	2	1	no	—
179	C₂×D₄×C₇₃	—	2	2	no	—
180	C₂×D₄×C₇₃	—	2	2	no	—
181	C₂×D₄×C₇₃	—	2	2	no	—
182	C₂×D₄×C₇₃	—	4	1	no	—
183	C₂×D₄×C₇₃	—	4	2	no	—
184	C₂×D₄×C₇₃	—	4	2	no	—
185	C₂×D₄×C₇₃	—	4	2	no	—
186	C₂×D₄×C₇₃	—	4	8	no	—
187	C₂×D₄×C₇₃	—	4	2	no	—
188	C₂×D₄×C₇₃	—	4	2	no	—
189	C₂×D₄×C₇₃	—	4	2	no	—
190	C₂×D₄×C₇₃	—	4	1	no	—
191	C₂×D₄×C₇₃	—	4	1	no	—
192	C₂×D₄×C₇₃	—	4	1	no	—
193	C₂×D₄×C₇₃	—	4	2	no	—
194	C₂×D₄×C₇₃	—	4	2	no	—
195	C₂×D₄×C₇₃	—	8	2	no	—
196	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
197	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
198	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
199	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
200	C₂²×C₄×C₇₃	—	2	1	no	—
201	C₂²×C₄×C₇₃	—	2	2	no	—
202	C₂²×C₄×C₇₃	—	2	2	no	—
203	C₂²×C₄×C₇₃	—	2	2	no	—
204	C₂²×C₄×C₇₃	—	2	1	no	—
205	C₂²×C₄×C₇₃	—	2	1	no	—
206	C₂²×C₄×C₇₃	—	2	2	no	—
207	C₂²×C₄×C₇₃	—	2	1	no	—
208	C₂²×C₄×C₇₃	—	2	1	no	—
209	C₂²×C₄×C₇₃	—	2	1	no	—
210	C₂²×C₄×C₇₃	—	2	1	no	—
211	C₂²×C₄×C₇₃	—	2	1	no	—
212	C₂²×C₄×C₇₃	—	4	8	no	—
213	C₂²×C₄×C₇₃	—	4	2	no	—
214	C₂²×C₄×C₇₃	—	4	2	no	—
215	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
216	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
217	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
218	SD₁₆×C₇₃	—	4	4	no	—
219	D₈×C₇₃	—	4	4	no	—
220	D₈×C₇₃	—	4	4	no	—
221	D₈×C₇₃	—	4	4	no	—
222	D₈×C₇₃	—	8	4	no	—
223	M₁₆×C₇₃	—	4	2	no	—
224	C₂×C₈×C₇₃	—	2	2	no	—
225	C₂×C₈×C₇₃	—	2	2	no	—
226	C₂×C₈×C₇₃	—	2	2	no	—
227	C₂×C₈×C₇₃	—	4	2	no	—
228	C₄⋊C₄×C₇₃	—	2	2	no	—
229	C₄⋊C₄×C₇₃	—	2	2	no	—
230	C₄⋊C₄×C₇₃	—	2	1	no	—
231	C₄⋊C₄×C₇₃	—	2	1	no	—
232	C₄⋊C₄×C₇₃	—	2	1	no	—
233	C₄⋊C₄×C₇₃	—	2	1	no	—
234	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
235	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
236	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
237	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
238	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
239	C₂²⋊C₄×C₇₃	—	2	2	no	—
240	C₂²⋊C₄×C₇₃	—	2	2	no	—
241	C₂²⋊C₄×C₇₃	—	2	2	no	—
242	C₂²⋊C₄×C₇₃	—	2	2	no	—
243	C₂²⋊C₄×C₇₃	—	2	1	no	—
244	C₂²⋊C₄×C₇₃	—	2	1	no	—
245	C₂²⋊C₄×C₇₃	—	2	2	no	—
246	C₂²⋊C₄×C₇₃	—	2	1	no	—
247	C₂²⋊C₄×C₇₃	—	2	1	no	—
248	C₂²⋊C₄×C₇₃	—	2	2	no	—
249	C₂²⋊C₄×C₇₃	—	2	1	no	—
250	C₂²⋊C₄×C₇₃	—	2	1	no	—
251	C₂²⋊C₄×C₇₃	—	2	1	no	—
252	C₄²×C₇₃	—	2	1	no	—
253	C₄²×C₇₃	—	2	1	no	—
254	C₄²×C₇₃	—	2	1	no	—
255	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
256	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
257	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
258	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
259	C₂³×C₇₃	—	2	1	no	—
260	C₂³×C₇₃	—	2	1	no	—
261	C₂³×C₇₃	—	2	1	no	—
262	C₂³×C₇₃	—	2	2	no	—
263	C₂³×C₇₃	—	4	2	no	—
264	C₂³×C₇₃	—	4	4	no	—
265	C₂³×C₇₃	—	4	4	no	—
266	C₂³×C₇₃	—	4	2	no	—
267	C₂³×C₇₃	—	4	2	no	—
268	C₂³×C₇₃	—	8	1	no	—
269	C₂³×C₇₃	—	8	2	no	—
270	C₂³×C₇₃	—	8	2	no	—
271	C₂³×C₇₃	—	8	2	no	—
272	C₂³×C₇₃	—	8	2	no	—
273	C₂³×C₇₃	#120	1	1	yes	characteristic
274	Q₈×C₇₃	—	2	1	no	—
275	Q₈×C₇₃	—	4	4	no	—
276	Q₈×C₇₃	—	4	1	no	—
277	Q₈×C₇₃	—	4	1	no	—
278	Q₈×C₇₃	C₂×D₈	1	2	yes	complemented
279	D₄×C₇₃	—	2	4	no	—
280	D₄×C₇₃	—	2	1	no	—
281	D₄×C₇₃	—	2	1	no	—
282	D₄×C₇₃	—	2	1	no	—
283	D₄×C₇₃	—	2	1	no	—
284	D₄×C₇₃	—	4	2	no	—
285	D₄×C₇₃	—	4	2	no	—
286	D₄×C₇₃	—	4	4	no	—
287	D₄×C₇₃	—	4	4	no	—
288	D₄×C₇₃	—	4	4	no	—
289	D₄×C₇₃	—	4	4	no	—
290	D₄×C₇₃	—	4	4	no	—
291	D₄×C₇₃	—	4	4	no	—
292	D₄×C₇₃	—	4	1	no	—
293	D₄×C₇₃	—	4	2	no	—
294	D₄×C₇₃	—	4	1	no	—
295	D₄×C₇₃	—	4	1	no	—
296	D₄×C₇₃	—	4	2	no	—
297	D₄×C₇₃	—	4	2	no	—
298	D₄×C₇₃	—	4	1	no	—
299	D₄×C₇₃	—	4	2	no	—
300	D₄×C₇₃	—	8	2	no	—
301	D₄×C₇₃	—	8	2	no	—
302	D₄×C₇₃	—	8	2	no	—
303	D₄×C₇₃	—	8	2	no	—
304	D₄×C₇₃	C₂×D₈	1	2	yes	complemented
305	D₄×C₇₃	AGL(1,ℤ/8)	1	2	yes	complemented
306	C₂×C₄×C₇₃	—	2	1	no	—
307	C₂×C₄×C₇₃	—	2	1	no	—
308	C₂×C₄×C₇₃	—	2	1	no	—
309	C₂×C₄×C₇₃	—	2	4	no	—
310	C₂×C₄×C₇₃	—	2	1	no	—
311	C₂×C₄×C₇₃	—	2	1	no	—
312	C₂×C₄×C₇₃	—	2	1	no	—
313	C₂×C₄×C₇₃	—	2	2	no	—
314	C₂×C₄×C₇₃	—	2	1	no	—
315	C₂×C₄×C₇₃	—	4	1	no	—
316	C₂×C₄×C₇₃	—	4	4	no	—
317	C₂×C₄×C₇₃	—	4	4	no	—
318	C₂×C₄×C₇₃	—	4	4	no	—
319	C₂×C₄×C₇₃	—	4	2	no	—
320	C₂×C₄×C₇₃	—	4	1	no	—
321	C₂×C₄×C₇₃	—	4	1	no	—
322	C₂×C₄×C₇₃	—	4	1	no	—
323	C₂×C₄×C₇₃	—	4	1	no	—
324	C₂×C₄×C₇₃	—	4	1	no	—
325	C₂×C₄×C₇₃	—	4	1	no	—
326	C₂×C₄×C₇₃	—	4	2	no	—
327	C₂×C₄×C₇₃	—	4	4	no	—
328	C₂×C₄×C₇₃	—	4	2	no	—
329	C₂×C₄×C₇₃	—	8	1	no	—
330	C₂×C₄×C₇₃	#120	1	1	yes	characteristic
331	C₂×C₄×C₇₃	#120	1	1	yes	characteristic
332	C₂×C₄×C₇₃	#120	1	1	yes	characteristic
333	C₂×C₄×C₇₃	C₂×D₈	1	2	yes	—
334	C₂×C₄×C₇₃	AGL(1,ℤ/8)	1	2	yes	—
335	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
336	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
337	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
338	C₈×C₇₃	—	4	2	no	—
339	C₈×C₇₃	—	4	2	no	—
340	C₈×C₇₃	—	4	2	no	—
341	C₂²×C₇₃	—	2	1	no	—
342	C₂²×C₇₃	—	2	1	no	—
343	C₂²×C₇₃	—	2	2	no	—
344	C₂²×C₇₃	—	2	2	no	—
345	C₂²×C₇₃	—	4	1	no	—
346	C₂²×C₇₃	—	4	1	no	—
347	C₂²×C₇₃	—	4	1	no	—
348	C₂²×C₇₃	—	4	1	no	—
349	C₂²×C₇₃	—	4	2	no	—
350	C₂²×C₇₃	—	4	1	no	—
351	C₂²×C₇₃	—	4	1	no	—
352	C₂²×C₇₃	—	4	2	no	—
353	C₂²×C₇₃	—	4	2	no	—
354	C₂²×C₇₃	—	4	1	no	—
355	C₂²×C₇₃	—	8	4	no	—
356	C₂²×C₇₃	—	8	8	no	—
357	C₂²×C₇₃	—	8	2	no	—
358	C₂²×C₇₃	—	8	2	no	—
359	C₂²×C₇₃	—	8	2	no	—
360	C₂²×C₇₃	—	16	4	no	—
361	C₂²×C₇₃	#447	1	2	yes	—
362	C₂²×C₇₃	C₂×#120	1	1	yes	characteristic
363	C₄×C₇₃	—	2	2	no	—
364	C₄×C₇₃	—	2	1	no	—
365	C₄×C₇₃	—	2	1	no	—
366	C₄×C₇₃	—	2	1	no	—
367	C₄×C₇₃	—	4	1	no	—
368	C₄×C₇₃	—	4	2	no	—
369	C₄×C₇₃	—	4	1	no	—
370	C₄×C₇₃	—	4	1	no	—
371	C₄×C₇₃	—	4	1	no	—
372	C₄×C₇₃	#447	1	2	yes	—
373	C₄×C₇₃	C₂²×D₈	1	1	yes	characteristic
374	C₄×C₇₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
375	C₄×C₇₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
376	C₄×C₇₃	#575	1	1	yes	characteristic
377	#18786	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
378	C₂×C₇₃	—	2	2	no	—
379	C₂×C₇₃	—	4	2	no	—
380	C₂×C₇₃	—	4	2	no	—
381	C₂×C₇₃	—	8	1	no	—
382	C₂×C₇₃	—	8	2	no	—
383	C₂×C₇₃	—	16	2	no	—
384	C₂×C₇₃	C₂×#447	1	1	yes	characteristic
385	C₂×C₇₃	#3006	1	1	yes	characteristic
386	C₂×C₇₃	#3021	1	1	yes	characteristic
387	D₄×#41	C₂×C₇₃	1	1	yes	characteristic, complemented
388	#3205	C₂×C₇₃	1	1	yes	characteristic, complemented
389	#3038	C₂×C₇₃	1	1	yes	characteristic, complemented
390	C₂×#459	C₂×C₇₃	1	1	yes	characteristic, complemented
391	#1627	C₂×C₇₃	1	2	yes	complemented
392	#1625	C₂×C₇₃	1	2	yes	complemented
393	#1621	C₂×C₇₃	1	2	yes	complemented
394	#1619	C₂×C₇₃	1	2	yes	complemented
395	#1547	C₂×C₇₃	1	1	yes	characteristic, complemented
396	#1486	C₂×C₇₃	1	1	yes	characteristic, complemented
397	#1477	C₂×C₇₃	1	1	yes	characteristic, complemented
398	C₇₃	#18786	1	1	yes	characteristic, direct product factor, Sylow
399	C₂²×#41	—	2	1	no	—
400	C₂×AGL(1,ℤ/8)	—	2	1	no	—
401	C₂²×D₈	—	2	1	no	—
402	#550	C₂²×C₇₃	1	1	yes	characteristic, complemented
403	D₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
404	#548	—	2	1	no	—
405	#547	—	2	1	no	—
406	#547	C₂²×C₇₃	1	1	yes	characteristic, complemented
407	#546	—	2	2	no	—
408	#546	—	2	1	no	—
409	D₄²	—	2	1	no	—
410	D₄²	C₂²×C₇₃	1	1	yes	characteristic, complemented
411	#532	—	2	1	no	—
412	#532	C₂²×C₇₃	1	1	yes	characteristic
413	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic, complemented
414	#525	—	2	2	no	—
415	#525	—	2	1	no	—
416	C₄×#41	C₂²×C₇₃	1	1	yes	characteristic
417	C₂×C₄×D₄	—	2	1	no	—
418	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
419	#493	C₂²×C₇₃	1	2	yes	complemented
420	#486	C₂²×C₇₃	1	2	yes	complemented
421	#460	—	2	1	no	—
422	#460	C₂²×C₇₃	1	2	yes	complemented
423	#459	—	2	2	no	—
424	#459	—	2	1	no	—
425	#459	—	2	1	no	—
426	#459	—	2	1	no	—
427	#459	C₂²×C₇₃	1	2	yes	—
428	#459	C₂²×C₇₃	1	2	yes	complemented
429	#459	C₂²×C₇₃	1	2	yes	complemented
430	#447	—	2	2	no	—
431	#431	C₂²×C₇₃	1	1	yes	characteristic, complemented
432	#423	C₂²×C₇₃	1	1	yes	characteristic, complemented
433	C₂×C₄⋊C₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
434	#418	—	2	1	no	—
435	C₂×#102	—	2	1	no	—
436	#332	C₂²×C₇₃	1	2	yes	complemented
437	#331	C₂²×C₇₃	1	2	yes	complemented
438	Q₈⋊C₈	C₂²×C₇₃	1	2	yes	complemented
439	D₄⋊C₈	C₂²×C₇₃	1	2	yes	complemented
440	D₄⋊C₈	C₂²×C₇₃	1	2	yes	complemented
441	D₄⋊C₈	C₂²×C₇₃	1	2	yes	complemented
442	C₂×#41	—	2	2	no	—
443	C₂×#41	—	2	2	no	—
444	C₂×#41	—	2	1	no	—
445	C₂×#41	—	2	1	no	—
446	C₂×#41	—	2	1	no	—
447	C₂×#41	—	4	4	no	—
448	C₂×#41	—	4	4	no	—
449	C₂×#41	D₄×C₇₃	1	1	yes	characteristic
450	C₂²×Q₈	—	2	1	no	—
451	C₂²×D₄	—	2	2	no	—
452	C₂²×D₄	—	2	1	no	—
453	C₂²×D₄	—	2	1	no	—
454	C₂²×D₄	—	2	1	no	—
455	C₂²×D₄	—	2	1	no	—
456	C₂²×D₄	—	2	1	no	—
457	C₂²×D₄	D₄×C₇₃	1	1	yes	characteristic
458	C₂³×C₄	—	2	2	no	—
459	C₂³×C₄	—	2	1	no	—
460	AGL(1,ℤ/8)	—	4	4	no	—
461	C₂×SD₁₆	—	2	2	no	—
462	C₂×D₈	—	2	2	no	—
463	C₂×D₈	—	2	2	no	—
464	C₂×D₈	—	2	2	no	—
465	C₂×D₈	—	2	4	no	—
466	C₂×D₈	—	4	4	no	—
467	C₂×M₁₆	—	2	1	no	—
468	C₂²×C₈	—	2	1	no	—
469	C₄⋊Q₈	—	2	1	no	—
470	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
471	#127	—	2	1	no	—
472	#127	—	2	1	no	—
473	#127	—	2	1	no	—
474	#127	—	2	1	no	—
475	#127	C₂³×C₇₃	1	2	yes	—
476	#127	C₂³×C₇₃	1	1	yes	characteristic
477	#124	—	2	2	no	—
478	#124	—	2	1	no	—
479	#123	—	2	2	no	—
480	#123	—	2	2	no	—
481	#123	—	2	2	no	—
482	C₂²⋊Q₈	—	2	2	no	—
483	C₂²⋊Q₈	—	2	1	no	—
484	C₂²⋊Q₈	—	2	2	no	—
485	C₂²⋊Q₈	—	2	1	no	—
486	#121	—	2	2	no	—
487	#121	—	2	2	no	—
488	#121	—	2	2	no	—
489	#121	—	2	1	no	—
490	#121	—	2	1	no	—
491	#121	—	2	1	no	—
492	#121	—	2	1	no	—
493	#121	—	2	1	no	—
494	#121	D₄×C₇₃	1	2	yes	—
495	#120	—	2	2	no	—
496	#120	—	2	2	no	—
497	#120	—	2	2	no	—
498	C₄×Q₈	D₄×C₇₃	1	1	yes	characteristic
499	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
500	C₄×D₄	—	2	2	no	—
501	C₄×D₄	—	2	2	no	—
502	C₄×D₄	—	2	2	no	—
503	C₄×D₄	—	2	1	no	—
504	C₄×D₄	—	2	1	no	—
505	C₄×D₄	—	2	1	no	—
506	C₄×D₄	—	2	1	no	—
507	C₄×D₄	—	2	1	no	—
508	C₄×D₄	—	2	1	no	—
509	C₄×D₄	—	2	1	no	—
510	C₄×D₄	D₄×C₇₃	1	1	yes	characteristic
511	C₄×D₄	D₄×C₇₃	1	1	yes	characteristic
512	C₄×D₄	D₄×C₇₃	1	1	yes	characteristic
513	C₄×D₄	D₄×C₇₃	1	2	yes	—
514	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
515	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
516	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
517	#117	—	2	1	no	—
518	#117	D₄×C₇₃	1	1	yes	characteristic
519	C₂×C₄⋊C₄	—	2	1	no	—
520	C₂×C₄⋊C₄	D₄×C₇₃	1	1	yes	characteristic
521	C₂×C₂²⋊C₄	—	2	2	no	—
522	C₂×C₂²⋊C₄	—	2	1	no	—
523	C₂×C₄²	—	2	1	no	—
524	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
525	C₄⋊C₈	—	2	1	no	—
526	C₄⋊C₈	—	2	1	no	—
527	C₄⋊C₈	—	2	1	no	—
528	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
529	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
530	#102	—	2	2	no	—
531	#102	—	2	2	no	—
532	#102	—	2	2	no	—
533	#102	—	2	2	no	—
534	#102	—	2	4	no	—
535	C₂²⋊C₈	—	2	1	no	—
536	C₄×C₈	C₂³×C₇₃	1	2	yes	—
537	C₂⁴	—	2	2	no	—
538	C₂⁴	—	2	1	no	—
539	C₂⁴	—	4	1	no	—
540	#41	—	2	2	no	—
541	#41	—	4	8	no	—
542	#41	—	4	8	no	—
543	#41	—	4	2	no	—
544	#41	—	4	2	no	—
545	#41	—	4	2	no	—
546	#41	—	4	2	no	—
547	#41	—	4	2	no	—
548	#41	—	4	2	no	—
549	#41	D₈×C₇₃	1	4	yes	complemented
550	C₂×Q₈	—	2	2	no	—
551	C₂×Q₈	—	2	1	no	—
552	C₂×Q₈	—	4	2	no	—
553	C₂×Q₈	—	4	2	no	—
554	C₂×Q₈	C₂×D₄×C₇₃	1	1	yes	characteristic
555	C₂×D₄	—	2	1	no	—
556	C₂×D₄	—	2	2	no	—
557	C₂×D₄	—	2	2	no	—
558	C₂×D₄	—	2	2	no	—
559	C₂×D₄	—	2	2	no	—
560	C₂×D₄	—	2	2	no	—
561	C₂×D₄	—	2	2	no	—
562	C₂×D₄	—	2	2	no	—
563	C₂×D₄	—	2	1	no	—
564	C₂×D₄	—	2	1	no	—
565	C₂×D₄	—	2	1	no	—
566	C₂×D₄	—	2	2	no	—
567	C₂×D₄	—	2	2	no	—
568	C₂×D₄	—	2	2	no	—
569	C₂×D₄	—	4	1	no	—
570	C₂×D₄	—	4	2	no	—
571	C₂×D₄	—	4	2	no	—
572	C₂×D₄	—	4	2	no	—
573	C₂×D₄	—	4	8	no	—
574	C₂×D₄	—	4	2	no	—
575	C₂×D₄	—	4	2	no	—
576	C₂×D₄	—	4	2	no	—
577	C₂×D₄	—	4	1	no	—
578	C₂×D₄	—	4	1	no	—
579	C₂×D₄	—	4	1	no	—
580	C₂×D₄	—	4	2	no	—
581	C₂×D₄	—	4	2	no	—
582	C₂×D₄	—	8	2	no	—
583	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
584	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
585	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
586	C₂×D₄	C₂×D₄×C₇₃	1	2	yes	—
587	C₂²×C₄	—	2	1	no	—
588	C₂²×C₄	—	2	2	no	—
589	C₂²×C₄	—	2	2	no	—
590	C₂²×C₄	—	2	2	no	—
591	C₂²×C₄	—	2	1	no	—
592	C₂²×C₄	—	2	1	no	—
593	C₂²×C₄	—	2	2	no	—
594	C₂²×C₄	—	2	1	no	—
595	C₂²×C₄	—	2	1	no	—
596	C₂²×C₄	—	2	1	no	—
597	C₂²×C₄	—	2	1	no	—
598	C₂²×C₄	—	2	1	no	—
599	C₂²×C₄	—	4	8	no	—
600	C₂²×C₄	—	4	2	no	—
601	C₂²×C₄	—	4	2	no	—
602	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
603	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
604	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
605	SD₁₆	—	4	4	no	—
606	D₈	—	4	4	no	—
607	D₈	—	4	4	no	—
608	D₈	—	4	4	no	—
609	D₈	—	8	4	no	—
610	M₁₆	—	4	2	no	—
611	C₂×C₈	—	2	2	no	—
612	C₂×C₈	—	2	2	no	—
613	C₂×C₈	—	2	2	no	—
614	C₂×C₈	—	4	2	no	—
615	C₄⋊C₄	—	2	2	no	—
616	C₄⋊C₄	—	2	2	no	—
617	C₄⋊C₄	—	2	1	no	—
618	C₄⋊C₄	—	2	1	no	—
619	C₄⋊C₄	—	2	1	no	—
620	C₄⋊C₄	—	2	1	no	—
621	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
622	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
623	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
624	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
625	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
626	C₂²⋊C₄	—	2	2	no	—
627	C₂²⋊C₄	—	2	2	no	—
628	C₂²⋊C₄	—	2	2	no	—
629	C₂²⋊C₄	—	2	2	no	—
630	C₂²⋊C₄	—	2	1	no	—
631	C₂²⋊C₄	—	2	1	no	—
632	C₂²⋊C₄	—	2	2	no	—
633	C₂²⋊C₄	—	2	1	no	—
634	C₂²⋊C₄	—	2	1	no	—
635	C₂²⋊C₄	—	2	2	no	—
636	C₂²⋊C₄	—	2	1	no	—
637	C₂²⋊C₄	—	2	1	no	—
638	C₂²⋊C₄	—	2	1	no	—
639	C₄²	—	2	1	no	—
640	C₄²	—	2	1	no	—
641	C₄²	—	2	1	no	—
642	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
643	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
644	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
645	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	2	no	—
650	C₂³	—	4	2	no	—
651	C₂³	—	4	4	no	—
652	C₂³	—	4	4	no	—
653	C₂³	—	4	2	no	—
654	C₂³	—	4	2	no	—
655	C₂³	—	8	1	no	—
656	C₂³	—	8	2	no	—
657	C₂³	—	8	2	no	—
658	C₂³	—	8	2	no	—
659	C₂³	—	8	2	no	—
660	C₂³	#120×C₇₃	1	1	yes	characteristic
661	Q₈	—	2	1	no	—
662	Q₈	—	4	4	no	—
663	Q₈	—	4	1	no	—
664	Q₈	—	4	1	no	—
665	Q₈	C₂×D₈×C₇₃	1	2	yes	complemented
666	D₄	—	2	4	no	—
667	D₄	—	2	1	no	—
668	D₄	—	2	1	no	—
669	D₄	—	2	1	no	—
670	D₄	—	2	1	no	—
671	D₄	—	4	2	no	—
672	D₄	—	4	2	no	—
673	D₄	—	4	4	no	—
674	D₄	—	4	4	no	—
675	D₄	—	4	4	no	—
676	D₄	—	4	4	no	—
677	D₄	—	4	4	no	—
678	D₄	—	4	4	no	—
679	D₄	—	4	1	no	—
680	D₄	—	4	2	no	—
681	D₄	—	4	1	no	—
682	D₄	—	4	1	no	—
683	D₄	—	4	2	no	—
684	D₄	—	4	2	no	—
685	D₄	—	4	1	no	—
686	D₄	—	4	2	no	—
687	D₄	—	8	2	no	—
688	D₄	—	8	2	no	—
689	D₄	—	8	2	no	—
690	D₄	—	8	2	no	—
691	D₄	C₂×D₈×C₇₃	1	2	yes	complemented
692	D₄	AGL(1,ℤ/8)×C₇₃	1	2	yes	complemented
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	4	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	1	no	—
700	C₂×C₄	—	2	2	no	—
701	C₂×C₄	—	2	1	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	4	4	no	—
704	C₂×C₄	—	4	4	no	—
705	C₂×C₄	—	4	4	no	—
706	C₂×C₄	—	4	2	no	—
707	C₂×C₄	—	4	2	no	—
708	C₂×C₄	—	4	4	no	—
709	C₂×C₄	—	4	2	no	—
710	C₂×C₄	—	4	1	no	—
711	C₂×C₄	—	4	1	no	—
712	C₂×C₄	—	4	1	no	—
713	C₂×C₄	—	4	1	no	—
714	C₂×C₄	—	4	1	no	—
715	C₂×C₄	—	4	1	no	—
716	C₂×C₄	—	8	1	no	—
717	C₂×C₄	#120×C₇₃	1	1	yes	characteristic
718	C₂×C₄	#120×C₇₃	1	1	yes	characteristic
719	C₂×C₄	#120×C₇₃	1	1	yes	characteristic
720	C₂×C₄	C₂×D₈×C₇₃	1	2	yes	—
721	C₂×C₄	AGL(1,ℤ/8)×C₇₃	1	2	yes	—
722	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
723	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
724	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
725	C₈	—	4	2	no	—
726	C₈	—	4	2	no	—
727	C₈	—	4	2	no	—
728	C₂²	—	2	1	no	—
729	C₂²	—	2	1	no	—
730	C₂²	—	2	2	no	—
731	C₂²	—	2	2	no	—
732	C₂²	—	4	1	no	—
733	C₂²	—	4	1	no	—
734	C₂²	—	4	1	no	—
735	C₂²	—	4	1	no	—
736	C₂²	—	4	2	no	—
737	C₂²	—	4	1	no	—
738	C₂²	—	4	1	no	—
739	C₂²	—	4	2	no	—
740	C₂²	—	4	2	no	—
741	C₂²	—	4	1	no	—
742	C₂²	—	8	4	no	—
743	C₂²	—	8	8	no	—
744	C₂²	—	8	2	no	—
745	C₂²	—	8	2	no	—
746	C₂²	—	8	2	no	—
747	C₂²	—	16	4	no	—
748	C₂²	#447×C₇₃	1	2	yes	—
749	C₂²	C₂×#120×C₇₃	1	1	yes	characteristic
750	C₄	—	2	2	no	—
751	C₄	—	2	1	no	—
752	C₄	—	2	1	no	—
753	C₄	—	2	1	no	—
754	C₄	—	4	1	no	—
755	C₄	—	4	2	no	—
756	C₄	—	4	1	no	—
757	C₄	—	4	1	no	—
758	C₄	—	4	1	no	—
759	C₄	#447×C₇₃	1	2	yes	—
760	C₄	C₂²×D₈×C₇₃	1	1	yes	characteristic
761	C₄	C₂×AGL(1,ℤ/8)×C₇₃	1	1	yes	characteristic
762	C₄	C₂×AGL(1,ℤ/8)×C₇₃	1	1	yes	characteristic
763	C₄	#575×C₇₃	1	1	yes	characteristic
764	C₂	—	2	2	no	—
765	C₂	—	4	2	no	—
766	C₂	—	4	2	no	—
767	C₂	—	8	1	no	—
768	C₂	—	8	2	no	—
769	C₂	—	16	2	no	—
770	C₂	C₂×#447×C₇₃	1	1	yes	characteristic
771	C₂	C₇₃×#3006	1	1	yes	characteristic
772	C₂	C₇₃×#3021	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₃	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₇₃
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₇₃ ◁ C₂×C₄²×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. D₄×#41×C₇₃	C₂	semidirect
2. C₇₃×#3205	C₂	semidirect
3. C₇₃×#3038	C₂	semidirect
4. C₂×#459×C₇₃	C₂	semidirect
5. C₇₃×#1627	C₂	semidirect
6. C₇₃×#1625	C₂	semidirect
7. C₇₃×#1621	C₂	semidirect
8. C₇₃×#1619	C₂	semidirect
9. C₇₃×#1547	C₂	semidirect
10. C₇₃×#1486	C₂	semidirect
11. C₇₃×#1477	C₂	semidirect
15. #550×C₇₃	C₂²	semidirect
16. D₄×Q₈×C₇₃	C₂²	semidirect
19. #547×C₇₃	C₂²	semidirect
23. D₄²×C₇₃	C₂²	semidirect
26. C₂×#127×C₇₃	C₂²	semidirect
32. #493×C₇₃	C₂²	semidirect
33. #486×C₇₃	C₂²	semidirect
35. #460×C₇₃	C₂²	semidirect
41. #459×C₇₃	C₂²	semidirect
42. #459×C₇₃	C₂²	semidirect
44. #431×C₇₃	C₂²	semidirect
45. #423×C₇₃	C₂²	semidirect
46. C₂×C₄⋊C₈×C₇₃	C₂²	semidirect
49. #332×C₇₃	C₂²	semidirect
50. #331×C₇₃	C₂²	semidirect
51. Q₈⋊C₈×C₇₃	C₂²	semidirect
52. D₄⋊C₈×C₇₃	C₂²	semidirect
53. D₄⋊C₈×C₇₃	C₂²	semidirect
54. D₄⋊C₈×C₇₃	C₂²	semidirect
162. #41×C₇₃	D₈	semidirect
278. Q₈×C₇₃	C₂×D₈	semidirect
304. D₄×C₇₃	C₂×D₈	semidirect
305. D₄×C₇₃	AGL(1,ℤ/8)	semidirect
377. #18786	C₇₃	direct (N × H)
387. D₄×#41	C₂×C₇₃	semidirect
388. #3205	C₂×C₇₃	semidirect
389. #3038	C₂×C₇₃	semidirect
390. C₂×#459	C₂×C₇₃	semidirect
391. #1627	C₂×C₇₃	semidirect
392. #1625	C₂×C₇₃	semidirect
393. #1621	C₂×C₇₃	semidirect
394. #1619	C₂×C₇₃	semidirect
395. #1547	C₂×C₇₃	semidirect
396. #1486	C₂×C₇₃	semidirect
397. #1477	C₂×C₇₃	semidirect
398. C₇₃	#18786	direct (N × H)
402. #550	C₂²×C₇₃	semidirect
403. D₄×Q₈	C₂²×C₇₃	semidirect
406. #547	C₂²×C₇₃	semidirect
410. D₄²	C₂²×C₇₃	semidirect
413. C₂×#127	C₂²×C₇₃	semidirect
419. #493	C₂²×C₇₃	semidirect
420. #486	C₂²×C₇₃	semidirect
422. #460	C₂²×C₇₃	semidirect
428. #459	C₂²×C₇₃	semidirect
429. #459	C₂²×C₇₃	semidirect
431. #431	C₂²×C₇₃	semidirect
432. #423	C₂²×C₇₃	semidirect
433. C₂×C₄⋊C₈	C₂²×C₇₃	semidirect
436. #332	C₂²×C₇₃	semidirect
437. #331	C₂²×C₇₃	semidirect
438. Q₈⋊C₈	C₂²×C₇₃	semidirect
439. D₄⋊C₈	C₂²×C₇₃	semidirect
440. D₄⋊C₈	C₂²×C₇₃	semidirect
441. D₄⋊C₈	C₂²×C₇₃	semidirect
549. #41	D₈×C₇₃	semidirect
665. Q₈	C₂×D₈×C₇₃	semidirect
691. D₄	C₂×D₈×C₇₃	semidirect
692. D₄	AGL(1,ℤ/8)×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
D₄×#41×C₇₃	2
C₇₃×#3205	2
C₇₃×#3038	2
C₂×#459×C₇₃	2
C₇₃×#1627	2
C₇₃×#1625	2
C₇₃×#1621	2
C₇₃×#1619	2
C₇₃×#1547	2
C₇₃×#1486	2
C₇₃×#1477	2
#18786	73

Subgroups — C73×#18786 #32928190

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#18786 #32928190