Subgroups — C₇₃×#60415 #32969819

Order 18688.

2842 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#575×C₇₃	C₂	1	2	yes	maximal, complemented
2	C₂×#532×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄×#41×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#3040	C₂	1	4	yes	maximal, complemented
5	C₇₃×#3039	C₂	1	2	yes	maximal, complemented
6	C₇₃×#3038	C₂	1	2	yes	maximal, complemented
7	C₇₃×#3037	C₂	1	4	yes	maximal, complemented
8	C₇₃×#3036	C₂	1	4	yes	maximal, complemented
9	C₇₃×#3035	C₂	1	8	yes	maximal, complemented
10	C₂×#423×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#2896	C₂	1	2	yes	maximal, complemented
12	C₂²×#41×C₇₃	C₂²	1	2	yes	—
13	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic
14	#575×C₇₃	—	2	16	no	—
15	C₂×#137×C₇₃	C₂²	1	4	yes	—
16	C₂×#137×C₇₃	C₂²	1	4	yes	complemented
17	C₂×AGL(1,ℤ/8)×C₇₃	C₂²	1	4	yes	—
18	C₂×AGL(1,ℤ/8)×C₇₃	C₂²	1	4	yes	complemented
19	C₂×#135×C₇₃	C₂²	1	8	yes	complemented
20	C₂²×M₁₆×C₇₃	C₂²	1	2	yes	—
21	#532×C₇₃	—	2	1	no	—
22	#532×C₇₃	—	2	1	no	—
23	#532×C₇₃	—	2	1	no	—
24	#532×C₇₃	—	2	1	no	—
25	#532×C₇₃	C₂²	1	4	yes	—
26	#532×C₇₃	C₂²	1	4	yes	complemented
27	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
28	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic, complemented
29	C₂×#124×C₇₃	C₂²	1	2	yes	complemented
30	C₂×#121×C₇₃	—	2	2	no	—
31	C₄×#41×C₇₃	—	2	1	no	—
32	C₄×#41×C₇₃	—	2	1	no	—
33	C₄×#41×C₇₃	—	2	2	no	—
34	C₄×#41×C₇₃	C₂²	1	2	yes	—
35	C₄×#41×C₇₃	C₂²	1	2	yes	—
36	C₄×#41×C₇₃	C₂²	1	4	yes	complemented
37	C₂×C₄×Q₈×C₇₃	C₂²	1	2	yes	complemented
38	C₂×C₄×D₄×C₇₃	—	2	2	no	—
39	C₂×C₄×D₄×C₇₃	—	2	2	no	—
40	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
41	C₂×#117×C₇₃	—	2	1	no	—
42	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
43	C₂²×C₄²×C₇₃	—	2	1	no	—
44	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
45	#464×C₇₃	C₂²	1	16	yes	complemented
46	#463×C₇₃	C₂²	1	16	yes	complemented
47	#462×C₇₃	C₂²	1	8	yes	complemented
48	#461×C₇₃	C₂²	1	8	yes	complemented
49	#460×C₇₃	C₂²	1	8	yes	complemented
50	#459×C₇₃	C₂²	1	8	yes	complemented
51	#423×C₇₃	C₂²	1	4	yes	complemented
52	#423×C₇₃	C₂²	1	2	yes	complemented
53	#423×C₇₃	C₂²	1	2	yes	complemented
54	C₂×C₄⋊C₈×C₇₃	C₂²	1	4	yes	complemented
55	#419×C₇₃	C₂²	1	4	yes	complemented
56	#418×C₇₃	C₂²	1	4	yes	complemented
57	#417×C₇₃	C₂²	1	8	yes	complemented
58	#416×C₇₃	C₂²	1	8	yes	complemented
59	C₂×#41×C₇₃	—	2	1	no	—
60	C₂×#41×C₇₃	—	2	1	no	—
61	C₂×#41×C₇₃	—	2	2	no	—
62	C₂×#41×C₇₃	—	2	2	no	—
63	C₂×#41×C₇₃	—	2	4	no	—
64	C₂×#41×C₇₃	—	2	8	no	—
65	C₂×#41×C₇₃	—	2	8	no	—
66	C₂×#41×C₇₃	D₄	1	8	yes	complemented
67	C₂×#41×C₇₃	C₂³	1	4	yes	—
68	C₂×#41×C₇₃	C₂³	1	4	yes	—
69	C₂×#41×C₇₃	C₂³	1	2	yes	—
70	C₂×#41×C₇₃	C₂³	1	2	yes	—
71	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
72	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
73	C₂²×D₄×C₇₃	—	2	1	no	—
74	C₂²×D₄×C₇₃	—	2	2	no	—
75	C₂²×D₄×C₇₃	—	2	2	no	—
76	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
77	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
78	C₂³×C₄×C₇₃	—	2	1	no	—
79	C₂³×C₄×C₇₃	—	2	2	no	—
80	C₂³×C₄×C₇₃	—	2	2	no	—
81	C₂³×C₄×C₇₃	D₄	1	2	yes	—
82	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
83	#137×C₇₃	—	2	16	no	—
84	#137×C₇₃	—	2	16	no	—
85	AGL(1,ℤ/8)×C₇₃	—	2	16	no	—
86	AGL(1,ℤ/8)×C₇₃	—	2	16	no	—
87	#135×C₇₃	—	2	32	no	—
88	C₂×Q₁₆×C₇₃	C₂³	1	8	yes	—
89	C₂×SD₁₆×C₇₃	C₂³	1	8	yes	—
90	C₂×SD₁₆×C₇₃	C₂³	1	8	yes	—
91	C₂×D₈×C₇₃	C₂³	1	8	yes	—
92	C₂×M₁₆×C₇₃	—	2	8	no	—
93	C₂×M₁₆×C₇₃	C₂³	1	4	yes	—
94	C₂×M₁₆×C₇₃	C₂³	1	4	yes	—
95	C₂²×C₈×C₇₃	C₂³	1	4	yes	—
96	C₄⋊Q₈×C₇₃	—	2	1	no	—
97	C₄⋊Q₈×C₇₃	—	2	1	no	—
98	C₄⋊Q₈×C₇₃	C₂³	1	4	yes	—
99	#127×C₇₃	—	2	1	no	—
100	#127×C₇₃	—	2	1	no	—
101	#127×C₇₃	C₂³	1	4	yes	—
102	#124×C₇₃	—	2	2	no	—
103	#124×C₇₃	—	2	2	no	—
104	#124×C₇₃	C₂³	1	8	yes	—
105	#121×C₇₃	—	2	4	no	—
106	#121×C₇₃	—	2	4	no	—
107	#121×C₇₃	—	2	4	no	—
108	#121×C₇₃	—	2	4	no	—
109	C₄×Q₈×C₇₃	—	2	2	no	—
110	C₄×Q₈×C₇₃	—	2	2	no	—
111	C₄×Q₈×C₇₃	C₂³	1	4	yes	—
112	C₄×Q₈×C₇₃	C₂³	1	4	yes	—
113	C₄×D₄×C₇₃	—	2	4	no	—
114	C₄×D₄×C₇₃	—	2	4	no	—
115	C₄×D₄×C₇₃	—	2	4	no	—
116	C₄×D₄×C₇₃	—	2	4	no	—
117	C₄×D₄×C₇₃	—	2	4	no	—
118	C₄×D₄×C₇₃	—	2	4	no	—
119	C₄×D₄×C₇₃	—	2	4	no	—
120	C₄×D₄×C₇₃	—	2	4	no	—
121	C₄×D₄×C₇₃	—	2	2	no	—
122	C₄×D₄×C₇₃	—	2	2	no	—
123	C₄×D₄×C₇₃	C₂³	1	4	yes	—
124	C₄×D₄×C₇₃	C₂³	1	4	yes	—
125	#117×C₇₃	—	2	1	no	—
126	#117×C₇₃	—	2	1	no	—
127	#117×C₇₃	—	2	2	no	—
128	#117×C₇₃	—	2	2	no	—
129	#117×C₇₃	—	2	4	no	—
130	#117×C₇₃	C₂³	1	2	yes	—
131	#117×C₇₃	C₂³	1	2	yes	—
132	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
133	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
134	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
135	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
136	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
137	C₂×C₂²⋊C₄×C₇₃	—	2	4	no	—
138	C₂×C₄²×C₇₃	—	2	1	no	—
139	C₂×C₄²×C₇₃	—	2	2	no	—
140	C₂×C₄²×C₇₃	—	2	2	no	—
141	C₂×C₄²×C₇₃	—	2	2	no	—
142	C₂×C₄²×C₇₃	—	2	4	no	—
143	C₂×C₄²×C₇₃	D₄	1	1	yes	characteristic
144	C₂×C₄²×C₇₃	D₄	1	1	yes	characteristic
145	C₂×C₄²×C₇₃	D₄	1	2	yes	—
146	C₂×C₄²×C₇₃	D₄	1	1	yes	characteristic
147	C₂×C₄²×C₇₃	D₄	1	1	yes	characteristic
148	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
149	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
150	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
151	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
152	C₄⋊C₈×C₇₃	C₂³	1	8	yes	—
153	C₄⋊C₈×C₇₃	C₂³	1	8	yes	—
154	#103×C₇₃	C₂³	1	16	yes	—
155	#102×C₇₃	C₂³	1	16	yes	—
156	C₂⁴×C₇₃	—	2	1	no	—
157	C₂⁴×C₇₃	—	2	2	no	—
158	C₂⁴×C₇₃	C₂×D₄	1	1	yes	characteristic
159	#41×C₇₃	—	2	8	no	—
160	#41×C₇₃	—	2	8	no	—
161	#41×C₇₃	—	2	4	no	—
162	#41×C₇₃	—	2	4	no	—
163	#41×C₇₃	—	2	8	no	—
164	#41×C₇₃	—	2	8	no	—
165	#41×C₇₃	—	2	8	no	—
166	#41×C₇₃	—	2	8	no	—
167	#41×C₇₃	—	4	8	no	—
168	#41×C₇₃	—	4	8	no	—
169	#41×C₇₃	C₂×D₄	1	8	yes	—
170	#41×C₇₃	C₂×D₄	1	8	yes	complemented
171	C₂×Q₈×C₇₃	—	2	1	no	—
172	C₂×Q₈×C₇₃	—	2	2	no	—
173	C₂×Q₈×C₇₃	—	2	2	no	—
174	C₂×Q₈×C₇₃	—	2	4	no	—
175	C₂×Q₈×C₇₃	—	2	4	no	—
176	C₂×Q₈×C₇₃	C₂×D₄	1	4	yes	complemented
177	C₂×Q₈×C₇₃	C₂⁴	1	4	yes	—
178	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
179	C₂×D₄×C₇₃	—	2	8	no	—
180	C₂×D₄×C₇₃	—	2	2	no	—
181	C₂×D₄×C₇₃	—	2	2	no	—
182	C₂×D₄×C₇₃	—	2	4	no	—
183	C₂×D₄×C₇₃	—	2	4	no	—
184	C₂×D₄×C₇₃	—	2	1	no	—
185	C₂×D₄×C₇₃	—	2	4	no	—
186	C₂×D₄×C₇₃	—	2	4	no	—
187	C₂×D₄×C₇₃	—	2	4	no	—
188	C₂×D₄×C₇₃	—	2	2	no	—
189	C₂×D₄×C₇₃	—	2	2	no	—
190	C₂×D₄×C₇₃	—	2	4	no	—
191	C₂×D₄×C₇₃	—	4	8	no	—
192	C₂×D₄×C₇₃	—	4	8	no	—
193	C₂×D₄×C₇₃	C₂×D₄	1	4	yes	complemented
194	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
195	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
196	C₂²×C₄×C₇₃	—	2	1	no	—
197	C₂²×C₄×C₇₃	—	2	8	no	—
198	C₂²×C₄×C₇₃	—	2	2	no	—
199	C₂²×C₄×C₇₃	—	2	2	no	—
200	C₂²×C₄×C₇₃	—	2	2	no	—
201	C₂²×C₄×C₇₃	—	2	2	no	—
202	C₂²×C₄×C₇₃	—	2	4	no	—
203	C₂²×C₄×C₇₃	—	2	4	no	—
204	C₂²×C₄×C₇₃	—	2	4	no	—
205	C₂²×C₄×C₇₃	—	2	4	no	—
206	C₂²×C₄×C₇₃	—	4	4	no	—
207	C₂²×C₄×C₇₃	—	4	8	no	—
208	C₂²×C₄×C₇₃	—	4	8	no	—
209	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
210	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
211	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
212	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
213	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
214	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
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	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
219	C₂²×C₄×C₇₃	#41	1	4	yes	—
220	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
221	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
222	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
223	Q₁₆×C₇₃	—	2	16	no	—
224	SD₁₆×C₇₃	—	2	16	no	—
225	SD₁₆×C₇₃	—	2	16	no	—
226	D₈×C₇₃	—	2	16	no	—
227	M₁₆×C₇₃	—	2	8	no	—
228	M₁₆×C₇₃	—	2	8	no	—
229	C₂×C₈×C₇₃	—	2	8	no	—
230	C₂×C₈×C₇₃	C₂⁴	1	8	yes	—
231	C₄⋊C₄×C₇₃	—	2	4	no	—
232	C₄⋊C₄×C₇₃	—	2	4	no	—
233	C₄⋊C₄×C₇₃	—	2	4	no	—
234	C₄⋊C₄×C₇₃	—	2	4	no	—
235	C₄⋊C₄×C₇₃	—	2	2	no	—
236	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
237	C₂²⋊C₄×C₇₃	—	2	2	no	—
238	C₂²⋊C₄×C₇₃	—	2	2	no	—
239	C₂²⋊C₄×C₇₃	—	2	4	no	—
240	C₂²⋊C₄×C₇₃	—	2	4	no	—
241	C₂²⋊C₄×C₇₃	—	2	8	no	—
242	C₂²⋊C₄×C₇₃	—	2	8	no	—
243	C₄²×C₇₃	—	2	2	no	—
244	C₄²×C₇₃	—	2	4	no	—
245	C₄²×C₇₃	—	2	4	no	—
246	C₄²×C₇₃	—	2	2	no	—
247	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
248	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
249	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
250	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
251	C₄²×C₇₃	C₂×D₄	1	2	yes	—
252	C₄²×C₇₃	C₂×D₄	1	2	yes	—
253	C₄²×C₇₃	C₂×D₄	1	2	yes	—
254	C₄²×C₇₃	C₂×D₄	1	2	yes	—
255	C₄²×C₇₃	C₂⁴	1	2	yes	—
256	C₄²×C₇₃	C₂⁴	1	2	yes	—
257	C₂³×C₇₃	—	2	4	no	—
258	C₂³×C₇₃	—	2	2	no	—
259	C₂³×C₇₃	—	2	4	no	—
260	C₂³×C₇₃	—	4	2	no	—
261	C₂³×C₇₃	—	4	4	no	—
262	C₂³×C₇₃	—	4	8	no	—
263	C₂³×C₇₃	—	4	4	no	—
264	C₂³×C₇₃	#121	1	4	yes	—
265	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
266	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
267	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
268	Q₈×C₇₃	—	2	4	no	—
269	Q₈×C₇₃	—	2	2	no	—
270	Q₈×C₇₃	—	2	4	no	—
271	Q₈×C₇₃	—	2	4	no	—
272	Q₈×C₇₃	—	4	4	no	—
273	Q₈×C₇₃	C₂²×D₄	1	4	yes	—
274	D₄×C₇₃	—	2	8	no	—
275	D₄×C₇₃	—	2	8	no	—
276	D₄×C₇₃	—	2	4	no	—
277	D₄×C₇₃	—	2	4	no	—
278	D₄×C₇₃	—	2	2	no	—
279	D₄×C₇₃	—	2	4	no	—
280	D₄×C₇₃	—	4	8	no	—
281	D₄×C₇₃	—	4	8	no	—
282	D₄×C₇₃	—	4	8	no	—
283	D₄×C₇₃	—	4	4	no	—
284	D₄×C₇₃	—	4	8	no	—
285	D₄×C₇₃	C₂²×D₄	1	4	yes	—
286	C₂×C₄×C₇₃	—	2	4	no	—
287	C₂×C₄×C₇₃	—	2	2	no	—
288	C₂×C₄×C₇₃	—	2	8	no	—
289	C₂×C₄×C₇₃	—	2	8	no	—
290	C₂×C₄×C₇₃	—	2	4	no	—
291	C₂×C₄×C₇₃	—	2	4	no	—
292	C₂×C₄×C₇₃	—	2	4	no	—
293	C₂×C₄×C₇₃	—	2	4	no	—
294	C₂×C₄×C₇₃	—	2	4	no	—
295	C₂×C₄×C₇₃	—	4	2	no	—
296	C₂×C₄×C₇₃	—	4	2	no	—
297	C₂×C₄×C₇₃	—	4	2	no	—
298	C₂×C₄×C₇₃	—	4	8	no	—
299	C₂×C₄×C₇₃	—	4	4	no	—
300	C₂×C₄×C₇₃	—	4	4	no	—
301	C₂×C₄×C₇₃	—	4	8	no	—
302	C₂×C₄×C₇₃	—	4	8	no	—
303	C₂×C₄×C₇₃	—	4	8	no	—
304	C₂×C₄×C₇₃	#121	1	4	yes	—
305	C₂×C₄×C₇₃	#121	1	4	yes	—
306	C₂×C₄×C₇₃	#121	1	4	yes	—
307	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
308	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
309	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
310	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
311	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
312	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
313	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
314	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
315	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
316	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
317	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
318	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
319	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
320	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
321	C₈×C₇₃	—	2	8	no	—
322	C₂²×C₇₃	—	2	2	no	—
323	C₂²×C₇₃	—	2	2	no	—
324	C₂²×C₇₃	—	2	2	no	—
325	C₂²×C₇₃	—	2	4	no	—
326	C₂²×C₇₃	—	4	4	no	—
327	C₂²×C₇₃	—	4	8	no	—
328	C₂²×C₇₃	—	4	4	no	—
329	C₂²×C₇₃	—	4	4	no	—
330	C₂²×C₇₃	—	4	8	no	—
331	C₂²×C₇₃	—	8	8	no	—
332	C₂²×C₇₃	C₂×#121	1	2	yes	—
333	C₂²×C₇₃	C₂×#121	1	2	yes	—
334	C₂²×C₇₃	C₂×#121	1	2	yes	—
335	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
336	C₄×C₇₃	—	2	4	no	—
337	C₄×C₇₃	—	2	2	no	—
338	C₄×C₇₃	—	2	2	no	—
339	C₄×C₇₃	—	2	2	no	—
340	C₄×C₇₃	—	4	4	no	—
341	C₄×C₇₃	—	4	4	no	—
342	C₄×C₇₃	C₂×#121	1	2	yes	—
343	C₄×C₇₃	C₂×#121	1	2	yes	—
344	C₄×C₇₃	C₂×#121	1	2	yes	—
345	C₄×C₇₃	#575	1	4	yes	complemented
346	C₄×C₇₃	C₂³×D₄	1	1	yes	characteristic
347	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
348	#60415	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
349	C₂×C₇₃	—	2	2	no	—
350	C₂×C₇₃	—	2	2	no	—
351	C₂×C₇₃	—	2	2	no	—
352	C₂×C₇₃	—	4	4	no	—
353	C₂×C₇₃	—	8	4	no	—
354	C₂×C₇₃	C₂²×#121	1	1	yes	characteristic
355	C₂×C₇₃	C₂×#575	1	2	yes	—
356	C₂×#575	C₂×C₇₃	1	2	yes	complemented
357	C₂×#532	C₂×C₇₃	1	1	yes	characteristic, complemented
358	C₂×C₄×#41	C₂×C₇₃	1	1	yes	characteristic, complemented
359	#3040	C₂×C₇₃	1	4	yes	complemented
360	#3039	C₂×C₇₃	1	2	yes	complemented
361	#3038	C₂×C₇₃	1	2	yes	complemented
362	#3037	C₂×C₇₃	1	4	yes	complemented
363	#3036	C₂×C₇₃	1	4	yes	complemented
364	#3035	C₂×C₇₃	1	8	yes	complemented
365	C₂×#423	C₂×C₇₃	1	1	yes	characteristic, complemented
366	#2896	C₂×C₇₃	1	2	yes	complemented
367	C₇₃	#60415	1	1	yes	characteristic, direct product factor, Sylow
368	C₂²×#41	C₂²×C₇₃	1	2	yes	—
369	C₂²×#41	C₂²×C₇₃	1	1	yes	characteristic
370	#575	—	2	16	no	—
371	C₂×#137	C₂²×C₇₃	1	4	yes	—
372	C₂×#137	C₂²×C₇₃	1	4	yes	complemented
373	C₂×AGL(1,ℤ/8)	C₂²×C₇₃	1	4	yes	—
374	C₂×AGL(1,ℤ/8)	C₂²×C₇₃	1	4	yes	complemented
375	C₂×#135	C₂²×C₇₃	1	8	yes	complemented
376	C₂²×M₁₆	C₂²×C₇₃	1	2	yes	—
377	#532	—	2	1	no	—
378	#532	—	2	1	no	—
379	#532	—	2	1	no	—
380	#532	—	2	1	no	—
381	#532	C₂²×C₇₃	1	4	yes	—
382	#532	C₂²×C₇₃	1	4	yes	complemented
383	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
384	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic, complemented
385	C₂×#124	C₂²×C₇₃	1	2	yes	complemented
386	C₂×#121	—	2	2	no	—
387	C₄×#41	—	2	1	no	—
388	C₄×#41	—	2	1	no	—
389	C₄×#41	—	2	2	no	—
390	C₄×#41	C₂²×C₇₃	1	2	yes	—
391	C₄×#41	C₂²×C₇₃	1	2	yes	—
392	C₄×#41	C₂²×C₇₃	1	4	yes	complemented
393	C₂×C₄×Q₈	C₂²×C₇₃	1	2	yes	complemented
394	C₂×C₄×D₄	—	2	2	no	—
395	C₂×C₄×D₄	—	2	2	no	—
396	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	complemented
397	C₂×#117	—	2	1	no	—
398	C₂×#117	C₂²×C₇₃	1	1	yes	characteristic
399	C₂²×C₄²	—	2	1	no	—
400	C₂²×C₄²	C₂²×C₇₃	1	1	yes	characteristic
401	#464	C₂²×C₇₃	1	16	yes	complemented
402	#463	C₂²×C₇₃	1	16	yes	complemented
403	#462	C₂²×C₇₃	1	8	yes	complemented
404	#461	C₂²×C₇₃	1	8	yes	complemented
405	#460	C₂²×C₇₃	1	8	yes	complemented
406	#459	C₂²×C₇₃	1	8	yes	complemented
407	#423	C₂²×C₇₃	1	4	yes	complemented
408	#423	C₂²×C₇₃	1	2	yes	complemented
409	#423	C₂²×C₇₃	1	2	yes	complemented
410	C₂×C₄⋊C₈	C₂²×C₇₃	1	4	yes	complemented
411	#419	C₂²×C₇₃	1	4	yes	complemented
412	#418	C₂²×C₇₃	1	4	yes	complemented
413	#417	C₂²×C₇₃	1	8	yes	complemented
414	#416	C₂²×C₇₃	1	8	yes	complemented
415	C₂×#41	—	2	1	no	—
416	C₂×#41	—	2	1	no	—
417	C₂×#41	—	2	2	no	—
418	C₂×#41	—	2	2	no	—
419	C₂×#41	—	2	4	no	—
420	C₂×#41	—	2	8	no	—
421	C₂×#41	—	2	8	no	—
422	C₂×#41	D₄×C₇₃	1	8	yes	complemented
423	C₂×#41	C₂³×C₇₃	1	4	yes	—
424	C₂×#41	C₂³×C₇₃	1	4	yes	—
425	C₂×#41	C₂³×C₇₃	1	2	yes	—
426	C₂×#41	C₂³×C₇₃	1	2	yes	—
427	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
428	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
429	C₂²×D₄	—	2	1	no	—
430	C₂²×D₄	—	2	2	no	—
431	C₂²×D₄	—	2	2	no	—
432	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
433	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
434	C₂³×C₄	—	2	1	no	—
435	C₂³×C₄	—	2	2	no	—
436	C₂³×C₄	—	2	2	no	—
437	C₂³×C₄	D₄×C₇₃	1	2	yes	—
438	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
439	#137	—	2	16	no	—
440	#137	—	2	16	no	—
441	AGL(1,ℤ/8)	—	2	16	no	—
442	AGL(1,ℤ/8)	—	2	16	no	—
443	#135	—	2	32	no	—
444	C₂×Q₁₆	C₂³×C₇₃	1	8	yes	—
445	C₂×SD₁₆	C₂³×C₇₃	1	8	yes	—
446	C₂×SD₁₆	C₂³×C₇₃	1	8	yes	—
447	C₂×D₈	C₂³×C₇₃	1	8	yes	—
448	C₂×M₁₆	—	2	8	no	—
449	C₂×M₁₆	C₂³×C₇₃	1	4	yes	—
450	C₂×M₁₆	C₂³×C₇₃	1	4	yes	—
451	C₂²×C₈	C₂³×C₇₃	1	4	yes	—
452	C₄⋊Q₈	—	2	1	no	—
453	C₄⋊Q₈	—	2	1	no	—
454	C₄⋊Q₈	C₂³×C₇₃	1	4	yes	—
455	#127	—	2	1	no	—
456	#127	—	2	1	no	—
457	#127	C₂³×C₇₃	1	4	yes	—
458	#124	—	2	2	no	—
459	#124	—	2	2	no	—
460	#124	C₂³×C₇₃	1	8	yes	—
461	#121	—	2	4	no	—
462	#121	—	2	4	no	—
463	#121	—	2	4	no	—
464	#121	—	2	4	no	—
465	C₄×Q₈	—	2	2	no	—
466	C₄×Q₈	—	2	2	no	—
467	C₄×Q₈	C₂³×C₇₃	1	4	yes	—
468	C₄×Q₈	C₂³×C₇₃	1	4	yes	—
469	C₄×D₄	—	2	4	no	—
470	C₄×D₄	—	2	4	no	—
471	C₄×D₄	—	2	4	no	—
472	C₄×D₄	—	2	4	no	—
473	C₄×D₄	—	2	4	no	—
474	C₄×D₄	—	2	4	no	—
475	C₄×D₄	—	2	4	no	—
476	C₄×D₄	—	2	4	no	—
477	C₄×D₄	—	2	2	no	—
478	C₄×D₄	—	2	2	no	—
479	C₄×D₄	C₂³×C₇₃	1	4	yes	—
480	C₄×D₄	C₂³×C₇₃	1	4	yes	—
481	#117	—	2	1	no	—
482	#117	—	2	1	no	—
483	#117	—	2	2	no	—
484	#117	—	2	2	no	—
485	#117	—	2	4	no	—
486	#117	C₂³×C₇₃	1	2	yes	—
487	#117	C₂³×C₇₃	1	2	yes	—
488	C₂×C₄⋊C₄	—	2	2	no	—
489	C₂×C₄⋊C₄	—	2	2	no	—
490	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
491	C₂×C₂²⋊C₄	—	2	1	no	—
492	C₂×C₂²⋊C₄	—	2	2	no	—
493	C₂×C₂²⋊C₄	—	2	4	no	—
494	C₂×C₄²	—	2	1	no	—
495	C₂×C₄²	—	2	2	no	—
496	C₂×C₄²	—	2	2	no	—
497	C₂×C₄²	—	2	2	no	—
498	C₂×C₄²	—	2	4	no	—
499	C₂×C₄²	D₄×C₇₃	1	1	yes	characteristic
500	C₂×C₄²	D₄×C₇₃	1	2	yes	—
501	C₂×C₄²	D₄×C₇₃	1	1	yes	characteristic
502	C₂×C₄²	D₄×C₇₃	1	1	yes	characteristic
503	C₂×C₄²	D₄×C₇₃	1	1	yes	characteristic
504	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
505	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
506	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
507	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
508	C₄⋊C₈	C₂³×C₇₃	1	8	yes	—
509	C₄⋊C₈	C₂³×C₇₃	1	8	yes	—
510	#103	C₂³×C₇₃	1	16	yes	—
511	#102	C₂³×C₇₃	1	16	yes	—
512	C₂⁴	—	2	1	no	—
513	C₂⁴	—	2	2	no	—
514	C₂⁴	C₂×D₄×C₇₃	1	1	yes	characteristic
515	#41	—	2	8	no	—
516	#41	—	2	8	no	—
517	#41	—	2	4	no	—
518	#41	—	2	4	no	—
519	#41	—	2	8	no	—
520	#41	—	2	8	no	—
521	#41	—	2	8	no	—
522	#41	—	2	8	no	—
523	#41	—	4	8	no	—
524	#41	—	4	8	no	—
525	#41	C₂×D₄×C₇₃	1	8	yes	—
526	#41	C₂×D₄×C₇₃	1	8	yes	complemented
527	C₂×Q₈	—	2	1	no	—
528	C₂×Q₈	—	2	2	no	—
529	C₂×Q₈	—	2	2	no	—
530	C₂×Q₈	—	2	4	no	—
531	C₂×Q₈	—	2	4	no	—
532	C₂×Q₈	C₂×D₄×C₇₃	1	4	yes	complemented
533	C₂×Q₈	C₂⁴×C₇₃	1	4	yes	—
534	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
535	C₂×D₄	—	2	8	no	—
536	C₂×D₄	—	2	2	no	—
537	C₂×D₄	—	2	2	no	—
538	C₂×D₄	—	2	4	no	—
539	C₂×D₄	—	2	4	no	—
540	C₂×D₄	—	2	1	no	—
541	C₂×D₄	—	2	4	no	—
542	C₂×D₄	—	2	4	no	—
543	C₂×D₄	—	2	4	no	—
544	C₂×D₄	—	2	2	no	—
545	C₂×D₄	—	2	2	no	—
546	C₂×D₄	—	2	4	no	—
547	C₂×D₄	—	4	8	no	—
548	C₂×D₄	—	4	8	no	—
549	C₂×D₄	C₂×D₄×C₇₃	1	4	yes	complemented
550	C₂×D₄	C₂⁴×C₇₃	1	4	yes	—
551	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
552	C₂²×C₄	—	2	1	no	—
553	C₂²×C₄	—	2	8	no	—
554	C₂²×C₄	—	2	2	no	—
555	C₂²×C₄	—	2	2	no	—
556	C₂²×C₄	—	2	2	no	—
557	C₂²×C₄	—	2	2	no	—
558	C₂²×C₄	—	2	4	no	—
559	C₂²×C₄	—	2	4	no	—
560	C₂²×C₄	—	2	4	no	—
561	C₂²×C₄	—	2	4	no	—
562	C₂²×C₄	—	4	4	no	—
563	C₂²×C₄	—	4	8	no	—
564	C₂²×C₄	—	4	8	no	—
565	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
566	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
567	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
568	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
569	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
570	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
571	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
572	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
573	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
574	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
575	C₂²×C₄	#41×C₇₃	1	4	yes	—
576	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
577	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
578	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
579	Q₁₆	—	2	16	no	—
580	SD₁₆	—	2	16	no	—
581	SD₁₆	—	2	16	no	—
582	D₈	—	2	16	no	—
583	M₁₆	—	2	8	no	—
584	M₁₆	—	2	8	no	—
585	C₂×C₈	—	2	8	no	—
586	C₂×C₈	C₂⁴×C₇₃	1	8	yes	—
587	C₄⋊C₄	—	2	4	no	—
588	C₄⋊C₄	—	2	4	no	—
589	C₄⋊C₄	—	2	4	no	—
590	C₄⋊C₄	—	2	4	no	—
591	C₄⋊C₄	—	2	2	no	—
592	C₄⋊C₄	C₂⁴×C₇₃	1	4	yes	—
593	C₂²⋊C₄	—	2	2	no	—
594	C₂²⋊C₄	—	2	2	no	—
595	C₂²⋊C₄	—	2	4	no	—
596	C₂²⋊C₄	—	2	4	no	—
597	C₂²⋊C₄	—	2	8	no	—
598	C₂²⋊C₄	—	2	8	no	—
599	C₄²	—	2	2	no	—
600	C₄²	—	2	2	no	—
601	C₄²	—	2	4	no	—
602	C₄²	—	2	4	no	—
603	C₄²	C₂×D₄×C₇₃	1	2	yes	—
604	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
605	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
606	C₄²	C₂×D₄×C₇₃	1	2	yes	—
607	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
608	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
609	C₄²	C₂×D₄×C₇₃	1	2	yes	—
610	C₄²	C₂×D₄×C₇₃	1	2	yes	—
611	C₄²	C₂⁴×C₇₃	1	2	yes	—
612	C₄²	C₂⁴×C₇₃	1	2	yes	—
613	C₂³	—	2	4	no	—
614	C₂³	—	2	2	no	—
615	C₂³	—	2	4	no	—
616	C₂³	—	4	2	no	—
617	C₂³	—	4	4	no	—
618	C₂³	—	4	8	no	—
619	C₂³	—	4	4	no	—
620	C₂³	#121×C₇₃	1	4	yes	—
621	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
622	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
623	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
624	Q₈	—	2	4	no	—
625	Q₈	—	2	2	no	—
626	Q₈	—	2	4	no	—
627	Q₈	—	2	4	no	—
628	Q₈	—	4	4	no	—
629	Q₈	C₂²×D₄×C₇₃	1	4	yes	—
630	D₄	—	2	8	no	—
631	D₄	—	2	8	no	—
632	D₄	—	2	4	no	—
633	D₄	—	2	4	no	—
634	D₄	—	2	2	no	—
635	D₄	—	2	4	no	—
636	D₄	—	4	8	no	—
637	D₄	—	4	8	no	—
638	D₄	—	4	8	no	—
639	D₄	—	4	4	no	—
640	D₄	—	4	8	no	—
641	D₄	C₂²×D₄×C₇₃	1	4	yes	—
642	C₂×C₄	—	2	4	no	—
643	C₂×C₄	—	2	2	no	—
644	C₂×C₄	—	2	8	no	—
645	C₂×C₄	—	2	8	no	—
646	C₂×C₄	—	2	4	no	—
647	C₂×C₄	—	2	4	no	—
648	C₂×C₄	—	2	4	no	—
649	C₂×C₄	—	2	4	no	—
650	C₂×C₄	—	2	4	no	—
651	C₂×C₄	—	4	2	no	—
652	C₂×C₄	—	4	2	no	—
653	C₂×C₄	—	4	2	no	—
654	C₂×C₄	—	4	8	no	—
655	C₂×C₄	—	4	4	no	—
656	C₂×C₄	—	4	4	no	—
657	C₂×C₄	—	4	8	no	—
658	C₂×C₄	—	4	8	no	—
659	C₂×C₄	—	4	8	no	—
660	C₂×C₄	#121×C₇₃	1	4	yes	—
661	C₂×C₄	#121×C₇₃	1	4	yes	—
662	C₂×C₄	#121×C₇₃	1	4	yes	—
663	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
664	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
665	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
666	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
667	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
668	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
669	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
670	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
671	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
672	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
673	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
674	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
675	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
676	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
677	C₈	—	2	8	no	—
678	C₂²	—	2	2	no	—
679	C₂²	—	2	2	no	—
680	C₂²	—	2	2	no	—
681	C₂²	—	2	4	no	—
682	C₂²	—	4	4	no	—
683	C₂²	—	4	8	no	—
684	C₂²	—	4	4	no	—
685	C₂²	—	4	8	no	—
686	C₂²	—	4	4	no	—
687	C₂²	—	8	8	no	—
688	C₂²	C₂×#121×C₇₃	1	2	yes	—
689	C₂²	C₂×#121×C₇₃	1	2	yes	—
690	C₂²	C₂×#121×C₇₃	1	2	yes	—
691	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
692	C₄	—	2	2	no	—
693	C₄	—	2	2	no	—
694	C₄	—	2	2	no	—
695	C₄	—	2	4	no	—
696	C₄	—	4	4	no	—
697	C₄	—	4	4	no	—
698	C₄	C₂×#121×C₇₃	1	2	yes	—
699	C₄	C₂×#121×C₇₃	1	2	yes	—
700	C₄	C₂×#121×C₇₃	1	2	yes	—
701	C₄	#575×C₇₃	1	4	yes	complemented
702	C₄	C₂³×D₄×C₇₃	1	1	yes	characteristic
703	C₄	C₂²×#41×C₇₃	1	1	yes	characteristic
704	C₂	—	2	2	no	—
705	C₂	—	2	2	no	—
706	C₂	—	2	2	no	—
707	C₂	—	4	4	no	—
708	C₂	—	8	4	no	—
709	C₂	C₂²×#121×C₇₃	1	1	yes	characteristic
710	C₂	C₂×#575×C₇₃	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₇₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇₃
socle	C₂²×C₇₃	C₂³×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇₃ ◁ C₂²×C₄²×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#575×C₇₃	C₂	semidirect
2. C₂×#532×C₇₃	C₂	semidirect
3. C₂×C₄×#41×C₇₃	C₂	semidirect
4. C₇₃×#3040	C₂	semidirect
5. C₇₃×#3039	C₂	semidirect
6. C₇₃×#3038	C₂	semidirect
7. C₇₃×#3037	C₂	semidirect
8. C₇₃×#3036	C₂	semidirect
9. C₇₃×#3035	C₂	semidirect
10. C₂×#423×C₇₃	C₂	semidirect
11. C₇₃×#2896	C₂	semidirect
16. C₂×#137×C₇₃	C₂²	semidirect
18. C₂×AGL(1,ℤ/8)×C₇₃	C₂²	semidirect
19. C₂×#135×C₇₃	C₂²	semidirect
26. #532×C₇₃	C₂²	semidirect
27. C₂×C₄⋊Q₈×C₇₃	C₂²	semidirect
28. C₂×#127×C₇₃	C₂²	semidirect
29. C₂×#124×C₇₃	C₂²	semidirect
36. C₄×#41×C₇₃	C₂²	semidirect
37. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
40. C₂×C₄×D₄×C₇₃	C₂²	semidirect
45. #464×C₇₃	C₂²	semidirect
46. #463×C₇₃	C₂²	semidirect
47. #462×C₇₃	C₂²	semidirect
48. #461×C₇₃	C₂²	semidirect
49. #460×C₇₃	C₂²	semidirect
50. #459×C₇₃	C₂²	semidirect
51. #423×C₇₃	C₂²	semidirect
52. #423×C₇₃	C₂²	semidirect
53. #423×C₇₃	C₂²	semidirect
54. C₂×C₄⋊C₈×C₇₃	C₂²	semidirect
55. #419×C₇₃	C₂²	semidirect
56. #418×C₇₃	C₂²	semidirect
57. #417×C₇₃	C₂²	semidirect
58. #416×C₇₃	C₂²	semidirect
66. C₂×#41×C₇₃	D₄	semidirect
170. #41×C₇₃	C₂×D₄	semidirect
176. C₂×Q₈×C₇₃	C₂×D₄	semidirect
193. C₂×D₄×C₇₃	C₂×D₄	semidirect
345. C₄×C₇₃	#575	semidirect
348. #60415	C₇₃	direct (N × H)
356. C₂×#575	C₂×C₇₃	semidirect
357. C₂×#532	C₂×C₇₃	semidirect
358. C₂×C₄×#41	C₂×C₇₃	semidirect
359. #3040	C₂×C₇₃	semidirect
360. #3039	C₂×C₇₃	semidirect
361. #3038	C₂×C₇₃	semidirect
362. #3037	C₂×C₇₃	semidirect
363. #3036	C₂×C₇₃	semidirect
364. #3035	C₂×C₇₃	semidirect
365. C₂×#423	C₂×C₇₃	semidirect
366. #2896	C₂×C₇₃	semidirect
367. C₇₃	#60415	direct (N × H)
372. C₂×#137	C₂²×C₇₃	semidirect
374. C₂×AGL(1,ℤ/8)	C₂²×C₇₃	semidirect
375. C₂×#135	C₂²×C₇₃	semidirect
382. #532	C₂²×C₇₃	semidirect
383. C₂×C₄⋊Q₈	C₂²×C₇₃	semidirect
384. C₂×#127	C₂²×C₇₃	semidirect
385. C₂×#124	C₂²×C₇₃	semidirect
392. C₄×#41	C₂²×C₇₃	semidirect
393. C₂×C₄×Q₈	C₂²×C₇₃	semidirect
396. C₂×C₄×D₄	C₂²×C₇₃	semidirect
401. #464	C₂²×C₇₃	semidirect
402. #463	C₂²×C₇₃	semidirect
403. #462	C₂²×C₇₃	semidirect
404. #461	C₂²×C₇₃	semidirect
405. #460	C₂²×C₇₃	semidirect
406. #459	C₂²×C₇₃	semidirect
407. #423	C₂²×C₇₃	semidirect
408. #423	C₂²×C₇₃	semidirect
409. #423	C₂²×C₇₃	semidirect
410. C₂×C₄⋊C₈	C₂²×C₇₃	semidirect
411. #419	C₂²×C₇₃	semidirect
412. #418	C₂²×C₇₃	semidirect
413. #417	C₂²×C₇₃	semidirect
414. #416	C₂²×C₇₃	semidirect
422. C₂×#41	D₄×C₇₃	semidirect
526. #41	C₂×D₄×C₇₃	semidirect
532. C₂×Q₈	C₂×D₄×C₇₃	semidirect
549. C₂×D₄	C₂×D₄×C₇₃	semidirect
701. C₄	#575×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#575×C₇₃	2
C₂×#532×C₇₃	2
C₂×C₄×#41×C₇₃	2
C₇₃×#3040	2
C₇₃×#3039	2
C₇₃×#3038	2
C₇₃×#3037	2
C₇₃×#3036	2
C₇₃×#3035	2
C₂×#423×C₇₃	2
C₇₃×#2896	2
#60415	73

Subgroups — C73×#60415 #32969819

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#60415 #32969819