Subgroups — C₇₃×#59843 #32969247

Order 18688.

2520 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#551×C₇₃	C₂	1	2	yes	maximal, complemented
2	C₇₃×#2728	C₂	1	2	yes	maximal, complemented
3	C₇₃×#2697	C₂	1	2	yes	maximal, complemented
4	C₇₃×#2609	C₂	1	2	yes	maximal, complemented
5	C₇₃×#2538	C₂	1	2	yes	maximal, complemented
6	C₇₃×#2496	C₂	1	2	yes	maximal, complemented
7	C₇₃×#2486	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#2480	C₂	1	4	yes	maximal, complemented
9	C₇₃×#2457	C₂	1	4	yes	maximal, complemented
10	C₇₃×#2422	C₂	1	2	yes	maximal, complemented
11	C₇₃×#2408	C₂	1	1	yes	maximal, characteristic
12	C₇₃×#2361	C₂	1	2	yes	maximal, complemented
13	D₄×C₂²⋊C₄×C₇₃	C₂	1	2	yes	maximal, complemented
14	C₄×#124×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#2293	C₂	1	2	yes	maximal, complemented
16	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic
17	#551×C₇₃	—	2	16	no	—
18	C₂×#126×C₇₃	C₂²	1	4	yes	—
19	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
20	C₂×#123×C₇₃	C₂²	1	2	yes	—
21	C₂×#123×C₇₃	C₂²	1	4	yes	complemented
22	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	4	yes	complemented
23	C₂×#121×C₇₃	C₂²	1	2	yes	—
24	C₂×#120×C₇₃	C₂²	1	2	yes	—
25	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
27	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
28	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
29	C₂×C₄×D₄×C₇₃	C₂²	1	4	yes	complemented
30	C₂×#117×C₇₃	C₂²	1	4	yes	complemented
31	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
32	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	4	yes	—
33	#400×C₇₃	C₂²	1	4	yes	complemented
34	#398×C₇₃	C₂²	1	2	yes	complemented
35	#397×C₇₃	C₂²	1	4	yes	—
36	#397×C₇₃	C₂²	1	2	yes	—
37	#397×C₇₃	C₂²	1	4	yes	complemented
38	#396×C₇₃	C₂²	1	4	yes	complemented
39	#396×C₇₃	C₂²	1	4	yes	complemented
40	#394×C₇₃	C₂²	1	2	yes	—
41	#394×C₇₃	C₂²	1	4	yes	complemented
42	#392×C₇₃	C₂²	1	2	yes	—
43	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
44	#390×C₇₃	C₂²	1	1	yes	characteristic
45	#390×C₇₃	C₂²	1	2	yes	—
46	#390×C₇₃	C₂²	1	2	yes	—
47	#390×C₇₃	C₂²	1	2	yes	—
48	#389×C₇₃	C₂²	1	2	yes	complemented
49	#389×C₇₃	C₂²	1	2	yes	complemented
50	#389×C₇₃	C₂²	1	2	yes	complemented
51	#388×C₇₃	C₂²	1	2	yes	—
52	#388×C₇₃	C₂²	1	4	yes	complemented
53	#388×C₇₃	C₂²	1	2	yes	complemented
54	#388×C₇₃	C₂²	1	4	yes	complemented
55	#388×C₇₃	C₂²	1	4	yes	complemented
56	#387×C₇₃	C₂²	1	4	yes	complemented
57	#386×C₇₃	C₂²	1	4	yes	—
58	#386×C₇₃	C₂²	1	4	yes	—
59	#386×C₇₃	C₂²	1	4	yes	complemented
60	#385×C₇₃	C₂²	1	4	yes	complemented
61	#385×C₇₃	C₂²	1	4	yes	complemented
62	#384×C₇₃	C₂²	1	2	yes	complemented
63	#382×C₇₃	C₂²	1	1	yes	characteristic, complemented
64	#381×C₇₃	C₂²	1	2	yes	complemented
65	#380×C₇₃	C₂²	1	2	yes	—
66	#380×C₇₃	C₂²	1	1	yes	characteristic
67	#380×C₇₃	C₂²	1	4	yes	complemented
68	#380×C₇₃	C₂²	1	1	yes	characteristic, complemented
69	#379×C₇₃	C₂²	1	4	yes	—
70	#379×C₇₃	C₂²	1	2	yes	—
71	C₄×C₄⋊C₄×C₇₃	C₂²	1	2	yes	complemented
72	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
73	C₄×C₂²⋊C₄×C₇₃	C₂²	1	4	yes	complemented
74	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
75	C₄³×C₇₃	C₂²	1	1	yes	characteristic, complemented
76	C₂⁵×C₇₃	C₂³	1	2	yes	—
77	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
78	C₂²×D₄×C₇₃	—	2	8	no	—
79	C₂²×D₄×C₇₃	—	4	2	no	—
80	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
81	C₂²×D₄×C₇₃	C₂³	1	4	yes	—
82	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
83	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
84	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
86	C₂³×C₄×C₇₃	C₂³	1	4	yes	—
87	C₂³×C₄×C₇₃	C₂³	1	4	yes	—
88	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
89	#126×C₇₃	—	2	16	no	—
90	#124×C₇₃	D₄	1	8	yes	complemented
91	#123×C₇₃	—	2	8	no	—
92	#123×C₇₃	—	2	16	no	—
93	C₂²⋊Q₈×C₇₃	—	2	16	no	—
94	#121×C₇₃	—	2	8	no	—
95	#120×C₇₃	—	2	8	no	—
96	C₄×Q₈×C₇₃	—	4	2	no	—
97	C₄×D₄×C₇₃	—	2	8	no	—
98	C₄×D₄×C₇₃	—	2	16	no	—
99	C₄×D₄×C₇₃	—	4	4	no	—
100	C₄×D₄×C₇₃	—	4	2	no	—
101	#117×C₇₃	—	2	16	no	—
102	C₂×C₄⋊C₄×C₇₃	—	4	2	no	—
103	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
104	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
105	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
106	C₂×C₄⋊C₄×C₇₃	C₂³	1	4	yes	—
107	C₂×C₄⋊C₄×C₇₃	C₂³	1	4	yes	—
108	C₂×C₄⋊C₄×C₇₃	C₂³	1	4	yes	—
109	C₂×C₄⋊C₄×C₇₃	C₂³	1	4	yes	—
110	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
111	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
112	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
113	C₂×C₄⋊C₄×C₇₃	C₂³	1	4	yes	—
114	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
115	C₂×C₂²⋊C₄×C₇₃	—	2	16	no	—
116	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
117	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
118	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
119	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
120	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
121	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
122	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
123	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
124	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
125	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
126	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
127	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
128	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
129	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
130	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
131	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
132	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
133	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
134	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
135	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
136	C₂×C₄²×C₇₃	C₂³	1	4	yes	—
137	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
138	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
139	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
140	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
141	#95×C₇₃	C₂³	1	2	yes	—
142	#95×C₇₃	C₂³	1	2	yes	—
143	#95×C₇₃	C₂³	1	4	yes	—
144	#95×C₇₃	C₂³	1	2	yes	—
145	#95×C₇₃	C₂³	1	2	yes	—
146	#95×C₇₃	C₂³	1	4	yes	—
147	#95×C₇₃	C₂³	1	4	yes	—
148	#95×C₇₃	C₂³	1	4	yes	—
149	#95×C₇₃	C₂³	1	2	yes	—
150	#95×C₇₃	C₂³	1	2	yes	—
151	#95×C₇₃	C₂³	1	4	yes	—
152	C₂⁴×C₇₃	—	2	4	no	—
153	C₂⁴×C₇₃	—	2	8	no	—
154	C₂⁴×C₇₃	—	4	2	no	—
155	C₂⁴×C₇₃	—	4	4	no	—
156	C₂⁴×C₇₃	—	4	2	no	—
157	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
158	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
159	C₂⁴×C₇₃	C₂⁴	1	4	yes	—
160	C₂×Q₈×C₇₃	—	4	1	no	—
161	C₂×Q₈×C₇₃	—	4	1	no	—
162	C₂×Q₈×C₇₃	C₂×D₄	1	4	yes	complemented
163	C₂×D₄×C₇₃	—	2	8	no	—
164	C₂×D₄×C₇₃	—	2	8	no	—
165	C₂×D₄×C₇₃	—	2	8	no	—
166	C₂×D₄×C₇₃	—	2	4	no	—
167	C₂×D₄×C₇₃	—	2	4	no	—
168	C₂×D₄×C₇₃	—	4	1	no	—
169	C₂×D₄×C₇₃	—	4	2	no	—
170	C₂×D₄×C₇₃	—	4	1	no	—
171	C₂×D₄×C₇₃	—	4	4	no	—
172	C₂×D₄×C₇₃	—	4	16	no	—
173	C₂×D₄×C₇₃	C₂×D₄	1	4	yes	—
174	C₂×D₄×C₇₃	#41	1	8	yes	—
175	C₂²×C₄×C₇₃	—	2	8	no	—
176	C₂²×C₄×C₇₃	—	2	4	no	—
177	C₂²×C₄×C₇₃	—	2	8	no	—
178	C₂²×C₄×C₇₃	—	2	4	no	—
179	C₂²×C₄×C₇₃	—	2	4	no	—
180	C₂²×C₄×C₇₃	—	2	2	no	—
181	C₂²×C₄×C₇₃	—	2	2	no	—
182	C₂²×C₄×C₇₃	—	2	8	no	—
183	C₂²×C₄×C₇₃	—	4	4	no	—
184	C₂²×C₄×C₇₃	—	4	2	no	—
185	C₂²×C₄×C₇₃	—	4	4	no	—
186	C₂²×C₄×C₇₃	—	4	4	no	—
187	C₂²×C₄×C₇₃	—	4	2	no	—
188	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
189	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
190	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
191	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
192	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
193	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
194	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
195	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
196	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
197	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
198	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
199	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
200	C₄⋊C₄×C₇₃	—	2	8	no	—
201	C₄⋊C₄×C₇₃	—	2	8	no	—
202	C₄⋊C₄×C₇₃	—	2	8	no	—
203	C₄⋊C₄×C₇₃	—	2	8	no	—
204	C₄⋊C₄×C₇₃	—	2	4	no	—
205	C₄⋊C₄×C₇₃	—	2	4	no	—
206	C₄⋊C₄×C₇₃	—	2	4	no	—
207	C₄⋊C₄×C₇₃	—	4	2	no	—
208	C₄⋊C₄×C₇₃	—	4	4	no	—
209	C₄⋊C₄×C₇₃	—	4	1	no	—
210	C₄⋊C₄×C₇₃	—	4	1	no	—
211	C₄⋊C₄×C₇₃	—	4	2	no	—
212	C₂²⋊C₄×C₇₃	—	2	8	no	—
213	C₂²⋊C₄×C₇₃	—	2	4	no	—
214	C₂²⋊C₄×C₇₃	—	2	4	no	—
215	C₂²⋊C₄×C₇₃	—	2	8	no	—
216	C₂²⋊C₄×C₇₃	—	2	8	no	—
217	C₂²⋊C₄×C₇₃	—	2	8	no	—
218	C₂²⋊C₄×C₇₃	—	2	8	no	—
219	C₂²⋊C₄×C₇₃	—	2	8	no	—
220	C₂²⋊C₄×C₇₃	—	4	2	no	—
221	C₂²⋊C₄×C₇₃	—	4	2	no	—
222	C₂²⋊C₄×C₇₃	—	4	4	no	—
223	C₂²⋊C₄×C₇₃	—	4	4	no	—
224	C₂²⋊C₄×C₇₃	—	4	4	no	—
225	C₂²⋊C₄×C₇₃	—	4	4	no	—
226	C₂²⋊C₄×C₇₃	—	4	1	no	—
227	C₂²⋊C₄×C₇₃	—	4	1	no	—
228	C₂²⋊C₄×C₇₃	C₂×D₄	1	8	yes	—
229	C₂²⋊C₄×C₇₃	C₂×D₄	1	8	yes	complemented
230	C₄²×C₇₃	—	2	8	no	—
231	C₄²×C₇₃	—	2	4	no	—
232	C₄²×C₇₃	—	2	2	no	—
233	C₄²×C₇₃	—	2	4	no	—
234	C₄²×C₇₃	—	4	2	no	—
235	C₄²×C₇₃	—	4	1	no	—
236	C₄²×C₇₃	C₂×D₄	1	4	yes	complemented
237	C₂³×C₇₃	—	2	4	no	—
238	C₂³×C₇₃	—	2	2	no	—
239	C₂³×C₇₃	—	2	2	no	—
240	C₂³×C₇₃	—	2	4	no	—
241	C₂³×C₇₃	—	2	1	no	—
242	C₂³×C₇₃	—	2	1	no	—
243	C₂³×C₇₃	—	2	4	no	—
244	C₂³×C₇₃	—	2	4	no	—
245	C₂³×C₇₃	—	2	4	no	—
246	C₂³×C₇₃	—	2	2	no	—
247	C₂³×C₇₃	—	2	2	no	—
248	C₂³×C₇₃	—	2	1	no	—
249	C₂³×C₇₃	—	2	4	no	—
250	C₂³×C₇₃	—	2	1	no	—
251	C₂³×C₇₃	—	4	8	no	—
252	C₂³×C₇₃	—	4	16	no	—
253	C₂³×C₇₃	—	8	4	no	—
254	C₂³×C₇₃	—	8	8	no	—
255	C₂³×C₇₃	—	8	4	no	—
256	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
257	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
258	C₂³×C₇₃	C₂×#41	1	8	yes	—
259	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
260	Q₈×C₇₃	—	4	4	no	—
261	D₄×C₇₃	—	2	16	no	—
262	D₄×C₇₃	—	4	4	no	—
263	D₄×C₇₃	—	4	16	no	—
264	D₄×C₇₃	—	4	8	no	—
265	C₂×C₄×C₇₃	—	2	2	no	—
266	C₂×C₄×C₇₃	—	2	1	no	—
267	C₂×C₄×C₇₃	—	2	2	no	—
268	C₂×C₄×C₇₃	—	2	2	no	—
269	C₂×C₄×C₇₃	—	2	1	no	—
270	C₂×C₄×C₇₃	—	2	2	no	—
271	C₂×C₄×C₇₃	—	2	4	no	—
272	C₂×C₄×C₇₃	—	2	4	no	—
273	C₂×C₄×C₇₃	—	2	4	no	—
274	C₂×C₄×C₇₃	—	2	2	no	—
275	C₂×C₄×C₇₃	—	2	2	no	—
276	C₂×C₄×C₇₃	—	2	4	no	—
277	C₂×C₄×C₇₃	—	2	4	no	—
278	C₂×C₄×C₇₃	—	2	2	no	—
279	C₂×C₄×C₇₃	—	2	1	no	—
280	C₂×C₄×C₇₃	—	2	2	no	—
281	C₂×C₄×C₇₃	—	2	4	no	—
282	C₂×C₄×C₇₃	—	2	1	no	—
283	C₂×C₄×C₇₃	—	2	1	no	—
284	C₂×C₄×C₇₃	—	2	2	no	—
285	C₂×C₄×C₇₃	—	2	2	no	—
286	C₂×C₄×C₇₃	—	2	2	no	—
287	C₂×C₄×C₇₃	—	2	2	no	—
288	C₂×C₄×C₇₃	—	2	2	no	—
289	C₂×C₄×C₇₃	—	2	4	no	—
290	C₂×C₄×C₇₃	—	2	4	no	—
291	C₂×C₄×C₇₃	—	2	4	no	—
292	C₂×C₄×C₇₃	—	4	16	no	—
293	C₂×C₄×C₇₃	—	4	4	no	—
294	C₂×C₄×C₇₃	—	4	4	no	—
295	C₂×C₄×C₇₃	—	8	8	no	—
296	C₂×C₄×C₇₃	—	8	4	no	—
297	C₂×C₄×C₇₃	C₂²×D₄	1	4	yes	—
298	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
299	C₂×C₄×C₇₃	C₂²×D₄	1	4	yes	—
300	C₂×C₄×C₇₃	C₂×#41	1	4	yes	—
301	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
302	C₂²×C₇₃	—	2	8	no	—
303	C₂²×C₇₃	—	2	4	no	—
304	C₂²×C₇₃	—	2	4	no	—
305	C₂²×C₇₃	—	2	8	no	—
306	C₂²×C₇₃	—	2	2	no	—
307	C₂²×C₇₃	—	2	2	no	—
308	C₂²×C₇₃	—	2	8	no	—
309	C₂²×C₇₃	—	4	4	no	—
310	C₂²×C₇₃	—	4	1	no	—
311	C₂²×C₇₃	—	4	1	no	—
312	C₂²×C₇₃	—	4	4	no	—
313	C₂²×C₇₃	—	4	2	no	—
314	C₂²×C₇₃	—	4	4	no	—
315	C₂²×C₇₃	—	4	2	no	—
316	C₂²×C₇₃	—	4	1	no	—
317	C₂²×C₇₃	—	4	4	no	—
318	C₂²×C₇₃	—	4	1	no	—
319	C₂²×C₇₃	—	8	16	no	—
320	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
321	C₂²×C₇₃	C₂²×#41	1	2	yes	—
322	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
323	C₂²×C₇₃	#585	1	2	yes	—
324	C₂²×C₇₃	#585	1	1	yes	characteristic
325	C₄×C₇₃	—	2	4	no	—
326	C₄×C₇₃	—	2	4	no	—
327	C₄×C₇₃	—	2	2	no	—
328	C₄×C₇₃	—	4	4	no	—
329	C₄×C₇₃	—	4	4	no	—
330	C₄×C₇₃	—	4	1	no	—
331	C₄×C₇₃	—	4	1	no	—
332	C₄×C₇₃	—	4	4	no	—
333	C₄×C₇₃	—	4	2	no	—
334	C₄×C₇₃	—	4	1	no	—
335	C₄×C₇₃	—	4	2	no	—
336	C₄×C₇₃	#551	1	4	yes	complemented
337	#59843	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
338	C₂×C₇₃	—	4	2	no	—
339	C₂×C₇₃	—	4	8	no	—
340	C₂×C₇₃	—	4	2	no	—
341	C₂×C₇₃	D₄×#41	1	2	yes	—
342	C₂×C₇₃	C₂×#551	1	1	yes	characteristic
343	C₂×C₇₃	#3496	1	1	yes	characteristic
344	C₂×C₇₃	#3521	1	2	yes	—
345	C₂×C₇₃	#3551	1	1	yes	characteristic
346	C₂×#551	C₂×C₇₃	1	2	yes	complemented
347	#2728	C₂×C₇₃	1	2	yes	complemented
348	#2697	C₂×C₇₃	1	2	yes	complemented
349	#2609	C₂×C₇₃	1	2	yes	complemented
350	#2538	C₂×C₇₃	1	2	yes	complemented
351	#2496	C₂×C₇₃	1	2	yes	complemented
352	#2486	C₂×C₇₃	1	1	yes	characteristic, complemented
353	#2480	C₂×C₇₃	1	4	yes	complemented
354	#2457	C₂×C₇₃	1	4	yes	complemented
355	#2422	C₂×C₇₃	1	2	yes	complemented
356	#2408	C₂×C₇₃	1	1	yes	characteristic
357	#2361	C₂×C₇₃	1	2	yes	complemented
358	D₄×C₂²⋊C₄	C₂×C₇₃	1	2	yes	complemented
359	C₄×#124	C₂×C₇₃	1	1	yes	characteristic, complemented
360	#2293	C₂×C₇₃	1	2	yes	complemented
361	C₇₃	#59843	1	1	yes	characteristic, direct product factor, Sylow
362	C₂³×D₄	C₂²×C₇₃	1	1	yes	characteristic
363	#551	—	2	16	no	—
364	C₂×#126	C₂²×C₇₃	1	4	yes	—
365	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
366	C₂×#123	C₂²×C₇₃	1	2	yes	—
367	C₂×#123	C₂²×C₇₃	1	4	yes	complemented
368	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	4	yes	complemented
369	C₂×#121	C₂²×C₇₃	1	2	yes	—
370	C₂×#120	C₂²×C₇₃	1	2	yes	—
371	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
372	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
373	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
374	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
375	C₂×C₄×D₄	C₂²×C₇₃	1	4	yes	complemented
376	C₂×#117	C₂²×C₇₃	1	4	yes	complemented
377	C₂²×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
378	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	4	yes	—
379	#400	C₂²×C₇₃	1	4	yes	complemented
380	#398	C₂²×C₇₃	1	2	yes	complemented
381	#397	C₂²×C₇₃	1	4	yes	—
382	#397	C₂²×C₇₃	1	2	yes	—
383	#397	C₂²×C₇₃	1	4	yes	complemented
384	#396	C₂²×C₇₃	1	4	yes	complemented
385	#396	C₂²×C₇₃	1	4	yes	complemented
386	#394	C₂²×C₇₃	1	2	yes	—
387	#394	C₂²×C₇₃	1	4	yes	complemented
388	#392	C₂²×C₇₃	1	2	yes	—
389	#391	C₂²×C₇₃	1	1	yes	characteristic, complemented
390	#390	C₂²×C₇₃	1	2	yes	—
391	#390	C₂²×C₇₃	1	2	yes	—
392	#390	C₂²×C₇₃	1	2	yes	—
393	#390	C₂²×C₇₃	1	1	yes	characteristic
394	#389	C₂²×C₇₃	1	2	yes	complemented
395	#389	C₂²×C₇₃	1	2	yes	complemented
396	#389	C₂²×C₇₃	1	2	yes	complemented
397	#388	C₂²×C₇₃	1	2	yes	—
398	#388	C₂²×C₇₃	1	4	yes	complemented
399	#388	C₂²×C₇₃	1	4	yes	complemented
400	#388	C₂²×C₇₃	1	2	yes	complemented
401	#388	C₂²×C₇₃	1	4	yes	complemented
402	#387	C₂²×C₇₃	1	4	yes	complemented
403	#386	C₂²×C₇₃	1	4	yes	—
404	#386	C₂²×C₇₃	1	4	yes	—
405	#386	C₂²×C₇₃	1	4	yes	complemented
406	#385	C₂²×C₇₃	1	4	yes	complemented
407	#385	C₂²×C₇₃	1	4	yes	complemented
408	#384	C₂²×C₇₃	1	2	yes	complemented
409	#382	C₂²×C₇₃	1	1	yes	characteristic, complemented
410	#381	C₂²×C₇₃	1	2	yes	complemented
411	#380	C₂²×C₇₃	1	2	yes	—
412	#380	C₂²×C₇₃	1	1	yes	characteristic
413	#380	C₂²×C₇₃	1	1	yes	characteristic, complemented
414	#380	C₂²×C₇₃	1	4	yes	complemented
415	#379	C₂²×C₇₃	1	4	yes	—
416	#379	C₂²×C₇₃	1	2	yes	—
417	C₄×C₄⋊C₄	C₂²×C₇₃	1	2	yes	complemented
418	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
419	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
420	C₄×C₂²⋊C₄	C₂²×C₇₃	1	4	yes	complemented
421	C₄³	C₂²×C₇₃	1	1	yes	characteristic, complemented
422	C₂⁵	C₂³×C₇₃	1	2	yes	—
423	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
424	C₂²×D₄	—	2	8	no	—
425	C₂²×D₄	—	4	2	no	—
426	C₂²×D₄	C₂³×C₇₃	1	4	yes	—
427	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
428	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
429	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
430	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
431	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
432	C₂³×C₄	C₂³×C₇₃	1	4	yes	—
433	C₂³×C₄	C₂³×C₇₃	1	4	yes	—
434	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
435	#126	—	2	16	no	—
436	#124	D₄×C₇₃	1	8	yes	complemented
437	#123	—	2	8	no	—
438	#123	—	2	16	no	—
439	C₂²⋊Q₈	—	2	16	no	—
440	#121	—	2	8	no	—
441	#120	—	2	8	no	—
442	C₄×Q₈	—	4	2	no	—
443	C₄×D₄	—	2	8	no	—
444	C₄×D₄	—	2	16	no	—
445	C₄×D₄	—	4	4	no	—
446	C₄×D₄	—	4	2	no	—
447	#117	—	2	16	no	—
448	C₂×C₄⋊C₄	—	4	2	no	—
449	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
450	C₂×C₄⋊C₄	C₂³×C₇₃	1	4	yes	—
451	C₂×C₄⋊C₄	C₂³×C₇₃	1	4	yes	—
452	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
453	C₂×C₄⋊C₄	C₂³×C₇₃	1	4	yes	—
454	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
455	C₂×C₄⋊C₄	C₂³×C₇₃	1	4	yes	—
456	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
457	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
458	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
459	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
460	C₂×C₄⋊C₄	C₂³×C₇₃	1	4	yes	—
461	C₂×C₂²⋊C₄	—	2	16	no	—
462	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
463	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
464	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
465	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
466	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
467	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
468	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
469	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
470	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
471	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
472	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
473	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
474	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
475	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
476	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
477	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
478	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
479	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
480	C₂×C₄²	C₂³×C₇₃	1	4	yes	—
481	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
482	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
483	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
484	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
485	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
486	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
487	#95	C₂³×C₇₃	1	2	yes	—
488	#95	C₂³×C₇₃	1	2	yes	—
489	#95	C₂³×C₇₃	1	4	yes	—
490	#95	C₂³×C₇₃	1	2	yes	—
491	#95	C₂³×C₇₃	1	2	yes	—
492	#95	C₂³×C₇₃	1	4	yes	—
493	#95	C₂³×C₇₃	1	4	yes	—
494	#95	C₂³×C₇₃	1	4	yes	—
495	#95	C₂³×C₇₃	1	2	yes	—
496	#95	C₂³×C₇₃	1	2	yes	—
497	#95	C₂³×C₇₃	1	4	yes	—
498	C₂⁴	—	2	4	no	—
499	C₂⁴	—	2	8	no	—
500	C₂⁴	—	4	2	no	—
501	C₂⁴	—	4	4	no	—
502	C₂⁴	—	4	2	no	—
503	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
504	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
505	C₂⁴	C₂⁴×C₇₃	1	4	yes	—
506	C₂×Q₈	—	4	1	no	—
507	C₂×Q₈	—	4	1	no	—
508	C₂×Q₈	C₂×D₄×C₇₃	1	4	yes	complemented
509	C₂×D₄	—	2	8	no	—
510	C₂×D₄	—	2	8	no	—
511	C₂×D₄	—	2	8	no	—
512	C₂×D₄	—	2	4	no	—
513	C₂×D₄	—	2	4	no	—
514	C₂×D₄	—	4	1	no	—
515	C₂×D₄	—	4	2	no	—
516	C₂×D₄	—	4	1	no	—
517	C₂×D₄	—	4	4	no	—
518	C₂×D₄	—	4	16	no	—
519	C₂×D₄	C₂×D₄×C₇₃	1	4	yes	—
520	C₂×D₄	#41×C₇₃	1	8	yes	—
521	C₂²×C₄	—	2	8	no	—
522	C₂²×C₄	—	2	4	no	—
523	C₂²×C₄	—	2	8	no	—
524	C₂²×C₄	—	2	4	no	—
525	C₂²×C₄	—	2	4	no	—
526	C₂²×C₄	—	2	2	no	—
527	C₂²×C₄	—	2	2	no	—
528	C₂²×C₄	—	2	8	no	—
529	C₂²×C₄	—	4	4	no	—
530	C₂²×C₄	—	4	2	no	—
531	C₂²×C₄	—	4	4	no	—
532	C₂²×C₄	—	4	4	no	—
533	C₂²×C₄	—	4	2	no	—
534	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
535	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
536	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
537	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
538	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
539	C₂²×C₄	C₂⁴×C₇₃	1	4	yes	—
540	C₂²×C₄	C₂⁴×C₇₃	1	4	yes	—
541	C₂²×C₄	C₂⁴×C₇₃	1	4	yes	—
542	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
543	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
544	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
545	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
546	C₄⋊C₄	—	2	8	no	—
547	C₄⋊C₄	—	2	8	no	—
548	C₄⋊C₄	—	2	8	no	—
549	C₄⋊C₄	—	2	8	no	—
550	C₄⋊C₄	—	2	4	no	—
551	C₄⋊C₄	—	2	4	no	—
552	C₄⋊C₄	—	2	4	no	—
553	C₄⋊C₄	—	4	2	no	—
554	C₄⋊C₄	—	4	4	no	—
555	C₄⋊C₄	—	4	1	no	—
556	C₄⋊C₄	—	4	1	no	—
557	C₄⋊C₄	—	4	2	no	—
558	C₂²⋊C₄	—	2	8	no	—
559	C₂²⋊C₄	—	2	4	no	—
560	C₂²⋊C₄	—	2	4	no	—
561	C₂²⋊C₄	—	2	8	no	—
562	C₂²⋊C₄	—	2	8	no	—
563	C₂²⋊C₄	—	2	8	no	—
564	C₂²⋊C₄	—	2	8	no	—
565	C₂²⋊C₄	—	2	8	no	—
566	C₂²⋊C₄	—	4	2	no	—
567	C₂²⋊C₄	—	4	2	no	—
568	C₂²⋊C₄	—	4	4	no	—
569	C₂²⋊C₄	—	4	4	no	—
570	C₂²⋊C₄	—	4	4	no	—
571	C₂²⋊C₄	—	4	4	no	—
572	C₂²⋊C₄	—	4	1	no	—
573	C₂²⋊C₄	—	4	1	no	—
574	C₂²⋊C₄	C₂×D₄×C₇₃	1	8	yes	—
575	C₂²⋊C₄	C₂×D₄×C₇₃	1	8	yes	complemented
576	C₄²	—	2	8	no	—
577	C₄²	—	2	4	no	—
578	C₄²	—	2	2	no	—
579	C₄²	—	2	4	no	—
580	C₄²	—	4	2	no	—
581	C₄²	—	4	1	no	—
582	C₄²	C₂×D₄×C₇₃	1	4	yes	complemented
583	C₂³	—	2	4	no	—
584	C₂³	—	2	2	no	—
585	C₂³	—	2	2	no	—
586	C₂³	—	2	4	no	—
587	C₂³	—	2	1	no	—
588	C₂³	—	2	1	no	—
589	C₂³	—	2	4	no	—
590	C₂³	—	2	4	no	—
591	C₂³	—	2	4	no	—
592	C₂³	—	2	2	no	—
593	C₂³	—	2	2	no	—
594	C₂³	—	2	1	no	—
595	C₂³	—	2	4	no	—
596	C₂³	—	2	1	no	—
597	C₂³	—	4	8	no	—
598	C₂³	—	4	16	no	—
599	C₂³	—	8	4	no	—
600	C₂³	—	8	8	no	—
601	C₂³	—	8	4	no	—
602	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
603	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
604	C₂³	C₂×#41×C₇₃	1	8	yes	—
605	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
606	Q₈	—	4	4	no	—
607	D₄	—	2	16	no	—
608	D₄	—	4	4	no	—
609	D₄	—	4	8	no	—
610	D₄	—	4	16	no	—
611	C₂×C₄	—	2	2	no	—
612	C₂×C₄	—	2	1	no	—
613	C₂×C₄	—	2	2	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	1	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	4	no	—
618	C₂×C₄	—	2	4	no	—
619	C₂×C₄	—	2	4	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	4	no	—
623	C₂×C₄	—	2	4	no	—
624	C₂×C₄	—	2	2	no	—
625	C₂×C₄	—	2	1	no	—
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	2	4	no	—
628	C₂×C₄	—	2	1	no	—
629	C₂×C₄	—	2	1	no	—
630	C₂×C₄	—	2	2	no	—
631	C₂×C₄	—	2	2	no	—
632	C₂×C₄	—	2	2	no	—
633	C₂×C₄	—	2	2	no	—
634	C₂×C₄	—	2	2	no	—
635	C₂×C₄	—	2	4	no	—
636	C₂×C₄	—	2	4	no	—
637	C₂×C₄	—	2	4	no	—
638	C₂×C₄	—	4	16	no	—
639	C₂×C₄	—	4	4	no	—
640	C₂×C₄	—	4	4	no	—
641	C₂×C₄	—	8	8	no	—
642	C₂×C₄	—	8	4	no	—
643	C₂×C₄	C₂²×D₄×C₇₃	1	4	yes	—
644	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
645	C₂×C₄	C₂²×D₄×C₇₃	1	4	yes	—
646	C₂×C₄	C₂×#41×C₇₃	1	4	yes	—
647	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
648	C₂²	—	2	8	no	—
649	C₂²	—	2	4	no	—
650	C₂²	—	2	4	no	—
651	C₂²	—	2	8	no	—
652	C₂²	—	2	2	no	—
653	C₂²	—	2	2	no	—
654	C₂²	—	2	8	no	—
655	C₂²	—	4	4	no	—
656	C₂²	—	4	1	no	—
657	C₂²	—	4	1	no	—
658	C₂²	—	4	4	no	—
659	C₂²	—	4	2	no	—
660	C₂²	—	4	4	no	—
661	C₂²	—	4	2	no	—
662	C₂²	—	4	1	no	—
663	C₂²	—	4	4	no	—
664	C₂²	—	4	1	no	—
665	C₂²	—	8	16	no	—
666	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
667	C₂²	C₂²×#41×C₇₃	1	2	yes	—
668	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
669	C₂²	#585×C₇₃	1	2	yes	—
670	C₂²	#585×C₇₃	1	1	yes	characteristic
671	C₄	—	2	4	no	—
672	C₄	—	2	4	no	—
673	C₄	—	2	2	no	—
674	C₄	—	4	4	no	—
675	C₄	—	4	4	no	—
676	C₄	—	4	1	no	—
677	C₄	—	4	1	no	—
678	C₄	—	4	4	no	—
679	C₄	—	4	2	no	—
680	C₄	—	4	1	no	—
681	C₄	—	4	2	no	—
682	C₄	#551×C₇₃	1	4	yes	complemented
683	C₂	—	4	2	no	—
684	C₂	—	4	8	no	—
685	C₂	—	4	2	no	—
686	C₂	D₄×#41×C₇₃	1	2	yes	—
687	C₂	C₂×#551×C₇₃	1	1	yes	characteristic
688	C₂	C₇₃×#3496	1	1	yes	characteristic
689	C₂	C₇₃×#3521	1	2	yes	—
690	C₂	C₇₃×#3551	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₃
prime radical	C₇₃×#2408	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#551×C₇₃	C₂	semidirect
2. C₇₃×#2728	C₂	semidirect
3. C₇₃×#2697	C₂	semidirect
4. C₇₃×#2609	C₂	semidirect
5. C₇₃×#2538	C₂	semidirect
6. C₇₃×#2496	C₂	semidirect
7. C₇₃×#2486	C₂	semidirect
8. C₇₃×#2480	C₂	semidirect
9. C₇₃×#2457	C₂	semidirect
10. C₇₃×#2422	C₂	semidirect
12. C₇₃×#2361	C₂	semidirect
13. D₄×C₂²⋊C₄×C₇₃	C₂	semidirect
14. C₄×#124×C₇₃	C₂	semidirect
15. C₇₃×#2293	C₂	semidirect
21. C₂×#123×C₇₃	C₂²	semidirect
22. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
25. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
29. C₂×C₄×D₄×C₇₃	C₂²	semidirect
30. C₂×#117×C₇₃	C₂²	semidirect
31. C₂²×C₄⋊C₄×C₇₃	C₂²	semidirect
33. #400×C₇₃	C₂²	semidirect
34. #398×C₇₃	C₂²	semidirect
37. #397×C₇₃	C₂²	semidirect
38. #396×C₇₃	C₂²	semidirect
39. #396×C₇₃	C₂²	semidirect
41. #394×C₇₃	C₂²	semidirect
43. #391×C₇₃	C₂²	semidirect
48. #389×C₇₃	C₂²	semidirect
49. #389×C₇₃	C₂²	semidirect
50. #389×C₇₃	C₂²	semidirect
52. #388×C₇₃	C₂²	semidirect
53. #388×C₇₃	C₂²	semidirect
54. #388×C₇₃	C₂²	semidirect
55. #388×C₇₃	C₂²	semidirect
56. #387×C₇₃	C₂²	semidirect
59. #386×C₇₃	C₂²	semidirect
60. #385×C₇₃	C₂²	semidirect
61. #385×C₇₃	C₂²	semidirect
62. #384×C₇₃	C₂²	semidirect
63. #382×C₇₃	C₂²	semidirect
64. #381×C₇₃	C₂²	semidirect
67. #380×C₇₃	C₂²	semidirect
68. #380×C₇₃	C₂²	semidirect
71. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
73. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
74. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
75. C₄³×C₇₃	C₂²	semidirect
90. #124×C₇₃	D₄	semidirect
162. C₂×Q₈×C₇₃	C₂×D₄	semidirect
229. C₂²⋊C₄×C₇₃	C₂×D₄	semidirect
236. C₄²×C₇₃	C₂×D₄	semidirect
336. C₄×C₇₃	#551	semidirect
337. #59843	C₇₃	direct (N × H)
346. C₂×#551	C₂×C₇₃	semidirect
347. #2728	C₂×C₇₃	semidirect
348. #2697	C₂×C₇₃	semidirect
349. #2609	C₂×C₇₃	semidirect
350. #2538	C₂×C₇₃	semidirect
351. #2496	C₂×C₇₃	semidirect
352. #2486	C₂×C₇₃	semidirect
353. #2480	C₂×C₇₃	semidirect
354. #2457	C₂×C₇₃	semidirect
355. #2422	C₂×C₇₃	semidirect
357. #2361	C₂×C₇₃	semidirect
358. D₄×C₂²⋊C₄	C₂×C₇₃	semidirect
359. C₄×#124	C₂×C₇₃	semidirect
360. #2293	C₂×C₇₃	semidirect
361. C₇₃	#59843	direct (N × H)
367. C₂×#123	C₂²×C₇₃	semidirect
368. C₂×C₂²⋊Q₈	C₂²×C₇₃	semidirect
371. C₂×C₄×Q₈	C₂²×C₇₃	semidirect
375. C₂×C₄×D₄	C₂²×C₇₃	semidirect
376. C₂×#117	C₂²×C₇₃	semidirect
377. C₂²×C₄⋊C₄	C₂²×C₇₃	semidirect
379. #400	C₂²×C₇₃	semidirect
380. #398	C₂²×C₇₃	semidirect
383. #397	C₂²×C₇₃	semidirect
384. #396	C₂²×C₇₃	semidirect
385. #396	C₂²×C₇₃	semidirect
387. #394	C₂²×C₇₃	semidirect
389. #391	C₂²×C₇₃	semidirect
394. #389	C₂²×C₇₃	semidirect
395. #389	C₂²×C₇₃	semidirect
396. #389	C₂²×C₇₃	semidirect
398. #388	C₂²×C₇₃	semidirect
399. #388	C₂²×C₇₃	semidirect
400. #388	C₂²×C₇₃	semidirect
401. #388	C₂²×C₇₃	semidirect
402. #387	C₂²×C₇₃	semidirect
405. #386	C₂²×C₇₃	semidirect
406. #385	C₂²×C₇₃	semidirect
407. #385	C₂²×C₇₃	semidirect
408. #384	C₂²×C₇₃	semidirect
409. #382	C₂²×C₇₃	semidirect
410. #381	C₂²×C₇₃	semidirect
413. #380	C₂²×C₇₃	semidirect
414. #380	C₂²×C₇₃	semidirect
417. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
419. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
420. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
421. C₄³	C₂²×C₇₃	semidirect
436. #124	D₄×C₇₃	semidirect
508. C₂×Q₈	C₂×D₄×C₇₃	semidirect
575. C₂²⋊C₄	C₂×D₄×C₇₃	semidirect
582. C₄²	C₂×D₄×C₇₃	semidirect
682. C₄	#551×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#551×C₇₃	2
C₇₃×#2728	2
C₇₃×#2697	2
C₇₃×#2609	2
C₇₃×#2538	2
C₇₃×#2496	2
C₇₃×#2486	2
C₇₃×#2480	2
C₇₃×#2457	2
C₇₃×#2422	2
C₇₃×#2408	2
C₇₃×#2361	2
D₄×C₂²⋊C₄×C₇₃	2
C₄×#124×C₇₃	2
C₇₃×#2293	2
#59843	73

Subgroups — C73×#59843 #32969247

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#59843 #32969247