Subgroups — C₇₃×#60426 #32969830

Order 18688.

2870 conjugacy classes of subgroups.

The subgroup lattice has 732 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	1	yes	maximal, characteristic, complemented
2	C₂²×AGL(1,ℤ/8)×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#535×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#3428	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#3045	C₂	1	8	yes	maximal, complemented
6	C₇₃×#3043	C₂	1	4	yes	maximal, complemented
7	C₇₃×#3041	C₂	1	4	yes	maximal, complemented
8	C₇₃×#3040	C₂	1	4	yes	maximal, complemented
9	C₇₃×#3038	C₂	1	4	yes	maximal, complemented
10	C₇₃×#2905	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#2896	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#418×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic
14	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic
15	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic
16	#575×C₇₃	—	2	8	no	—
17	C₂×#137×C₇₃	C₂²	1	2	yes	complemented
18	C₂×#137×C₇₃	C₂²	1	2	yes	complemented
19	C₂×AGL(1,ℤ/8)×C₇₃	—	2	8	no	—
20	C₂×AGL(1,ℤ/8)×C₇₃	C₂²	1	4	yes	—
21	C₂×AGL(1,ℤ/8)×C₇₃	C₂²	1	4	yes	complemented
22	C₂×AGL(1,ℤ/8)×C₇₃	C₂²	1	2	yes	complemented
23	C₂×AGL(1,ℤ/8)×C₇₃	C₂²	1	2	yes	complemented
24	C₂×#135×C₇₃	C₂²	1	4	yes	complemented
25	C₂²×SD₁₆×C₇₃	C₂²	1	2	yes	complemented
26	C₂²×D₈×C₇₃	C₂²	1	2	yes	complemented
27	C₂²×M₁₆×C₇₃	C₂²	1	1	yes	characteristic
28	C₂²×M₁₆×C₇₃	C₂²	1	1	yes	characteristic
29	#535×C₇₃	—	2	2	no	—
30	#535×C₇₃	—	2	2	no	—
31	#535×C₇₃	C₂²	1	4	yes	—
32	#535×C₇₃	C₂²	1	4	yes	complemented
33	C₂×#127×C₇₃	C₂²	1	2	yes	complemented
34	C₂×#124×C₇₃	C₂²	1	2	yes	complemented
35	C₂×#121×C₇₃	—	2	2	no	—
36	C₂×#120×C₇₃	—	2	2	no	—
37	#520×C₇₃	—	2	2	no	—
38	#520×C₇₃	C₂²	1	4	yes	complemented
39	#519×C₇₃	C₂²	1	2	yes	complemented
40	#518×C₇₃	—	2	2	no	—
41	#518×C₇₃	C₂²	1	2	yes	complemented
42	C₄×#41×C₇₃	—	2	2	no	—
43	C₄×#41×C₇₃	C₂²	1	4	yes	complemented
44	C₂×#117×C₇₃	—	2	2	no	—
45	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
46	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
47	#464×C₇₃	C₂²	1	16	yes	complemented
48	#463×C₇₃	C₂²	1	16	yes	complemented
49	#460×C₇₃	C₂²	1	16	yes	complemented
50	#459×C₇₃	C₂²	1	16	yes	complemented
51	#424×C₇₃	C₂²	1	4	yes	complemented
52	#424×C₇₃	C₂²	1	4	yes	complemented
53	#423×C₇₃	C₂²	1	4	yes	complemented
54	#419×C₇₃	C₂²	1	2	yes	complemented
55	#418×C₇₃	C₂²	1	4	yes	complemented
56	#418×C₇₃	C₂²	1	4	yes	complemented
57	#418×C₇₃	C₂²	1	2	yes	complemented
58	#417×C₇₃	C₂²	1	4	yes	complemented
59	#416×C₇₃	C₂²	1	4	yes	complemented
60	C₂×#102×C₇₃	C₂²	1	4	yes	complemented
61	C₂⁵×C₇₃	—	2	1	no	—
62	C₂×#41×C₇₃	—	2	1	no	—
63	C₂×#41×C₇₃	—	2	1	no	—
64	C₂×#41×C₇₃	—	2	1	no	—
65	C₂×#41×C₇₃	—	2	1	no	—
66	C₂×#41×C₇₃	—	2	4	no	—
67	C₂×#41×C₇₃	—	2	4	no	—
68	C₂×#41×C₇₃	—	2	4	no	—
69	C₂×#41×C₇₃	D₄	1	8	yes	complemented
70	C₂×#41×C₇₃	C₂³	1	2	yes	—
71	C₂×#41×C₇₃	C₂³	1	2	yes	—
72	C₂×#41×C₇₃	C₂³	1	2	yes	—
73	C₂×#41×C₇₃	C₂³	1	2	yes	—
74	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
75	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
76	C₂²×D₄×C₇₃	—	2	1	no	—
77	C₂²×D₄×C₇₃	—	2	1	no	—
78	C₂²×D₄×C₇₃	—	2	4	no	—
79	C₂²×D₄×C₇₃	—	2	1	no	—
80	C₂²×D₄×C₇₃	—	2	1	no	—
81	C₂²×D₄×C₇₃	—	2	1	no	—
82	C₂²×D₄×C₇₃	—	2	4	no	—
83	C₂²×D₄×C₇₃	—	2	4	no	—
84	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
85	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
86	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
87	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
88	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₇₃	—	2	1	no	—
90	C₂³×C₄×C₇₃	—	2	1	no	—
91	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
92	#137×C₇₃	—	2	8	no	—
93	#137×C₇₃	—	2	8	no	—
94	AGL(1,ℤ/8)×C₇₃	—	2	16	no	—
95	AGL(1,ℤ/8)×C₇₃	—	2	8	no	—
96	AGL(1,ℤ/8)×C₇₃	—	2	16	no	—
97	AGL(1,ℤ/8)×C₇₃	—	2	8	no	—
98	#135×C₇₃	—	2	16	no	—
99	C₂×Q₁₆×C₇₃	C₂³	1	4	yes	complemented
100	C₂×SD₁₆×C₇₃	—	2	8	no	—
101	C₂×SD₁₆×C₇₃	C₂³	1	8	yes	—
102	C₂×SD₁₆×C₇₃	C₂³	1	4	yes	complemented
103	C₂×SD₁₆×C₇₃	C₂³	1	4	yes	complemented
104	C₂×D₈×C₇₃	—	2	8	no	—
105	C₂×D₈×C₇₃	C₂³	1	8	yes	—
106	C₂×D₈×C₇₃	C₂³	1	4	yes	complemented
107	C₂×M₁₆×C₇₃	—	2	4	no	—
108	C₂×M₁₆×C₇₃	—	2	4	no	—
109	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
110	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
111	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
112	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
113	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
114	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
115	#127×C₇₃	—	2	4	no	—
116	#127×C₇₃	C₂³	1	8	yes	—
117	#124×C₇₃	—	2	4	no	—
118	#124×C₇₃	C₂³	1	8	yes	—
119	#121×C₇₃	—	2	8	no	—
120	#121×C₇₃	—	2	8	no	—
121	#120×C₇₃	—	2	8	no	—
122	#120×C₇₃	—	2	8	no	—
123	C₄×Q₈×C₇₃	—	2	4	no	—
124	C₄×Q₈×C₇₃	C₂³	1	8	yes	complemented
125	C₄×D₄×C₇₃	—	2	8	no	—
126	C₄×D₄×C₇₃	—	2	4	no	—
127	C₄×D₄×C₇₃	—	2	8	no	—
128	C₄×D₄×C₇₃	C₂³	1	8	yes	complemented
129	#117×C₇₃	—	2	1	no	—
130	#117×C₇₃	—	2	1	no	—
131	#117×C₇₃	—	2	4	no	—
132	#117×C₇₃	—	2	4	no	—
133	#117×C₇₃	—	2	4	no	—
134	#117×C₇₃	D₄	1	2	yes	—
135	#117×C₇₃	D₄	1	2	yes	—
136	#117×C₇₃	C₂³	1	2	yes	—
137	#117×C₇₃	C₂³	1	2	yes	—
138	#117×C₇₃	C₂³	1	2	yes	—
139	#117×C₇₃	C₂³	1	2	yes	—
140	C₂×C₄⋊C₄×C₇₃	—	2	4	no	—
141	C₂×C₄⋊C₄×C₇₃	D₄	1	2	yes	—
142	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
143	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
144	C₂×C₂²⋊C₄×C₇₃	—	2	4	no	—
145	C₂×C₂²⋊C₄×C₇₃	—	2	4	no	—
146	C₂×C₂²⋊C₄×C₇₃	D₄	1	2	yes	—
147	C₂×C₄²×C₇₃	—	2	1	no	—
148	C₂×C₄²×C₇₃	—	2	4	no	—
149	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
150	C₄⋊C₈×C₇₃	C₂³	1	16	yes	complemented
151	#103×C₇₃	C₂³	1	8	yes	complemented
152	#102×C₇₃	C₂³	1	16	yes	—
153	#102×C₇₃	C₂³	1	8	yes	complemented
154	C₂⁴×C₇₃	—	2	1	no	—
155	C₂⁴×C₇₃	—	2	2	no	—
156	C₂⁴×C₇₃	—	2	1	no	—
157	C₂⁴×C₇₃	—	2	2	no	—
158	C₂⁴×C₇₃	—	2	2	no	—
159	C₂⁴×C₇₃	—	4	4	no	—
160	C₂⁴×C₇₃	—	8	4	no	—
161	C₂⁴×C₇₃	C₂×D₄	1	1	yes	characteristic
162	#41×C₇₃	—	2	8	no	—
163	#41×C₇₃	—	2	8	no	—
164	#41×C₇₃	—	2	4	no	—
165	#41×C₇₃	—	2	4	no	—
166	#41×C₇₃	—	2	4	no	—
167	#41×C₇₃	—	2	4	no	—
168	#41×C₇₃	—	2	4	no	—
169	#41×C₇₃	—	2	4	no	—
170	#41×C₇₃	—	4	4	no	—
171	#41×C₇₃	—	4	4	no	—
172	#41×C₇₃	C₂×D₄	1	8	yes	—
173	#41×C₇₃	C₂×D₄	1	8	yes	complemented
174	C₂×Q₈×C₇₃	—	2	1	no	—
175	C₂×Q₈×C₇₃	—	2	1	no	—
176	C₂×Q₈×C₇₃	—	2	2	no	—
177	C₂×Q₈×C₇₃	—	2	2	no	—
178	C₂×Q₈×C₇₃	—	2	2	no	—
179	C₂×Q₈×C₇₃	C₂×D₄	1	4	yes	complemented
180	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
181	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
182	C₂×D₄×C₇₃	—	2	8	no	—
183	C₂×D₄×C₇₃	—	2	2	no	—
184	C₂×D₄×C₇₃	—	2	2	no	—
185	C₂×D₄×C₇₃	—	2	2	no	—
186	C₂×D₄×C₇₃	—	2	2	no	—
187	C₂×D₄×C₇₃	—	2	1	no	—
188	C₂×D₄×C₇₃	—	2	4	no	—
189	C₂×D₄×C₇₃	—	2	4	no	—
190	C₂×D₄×C₇₃	—	2	4	no	—
191	C₂×D₄×C₇₃	—	2	2	no	—
192	C₂×D₄×C₇₃	—	2	2	no	—
193	C₂×D₄×C₇₃	—	2	2	no	—
194	C₂×D₄×C₇₃	—	2	2	no	—
195	C₂×D₄×C₇₃	—	2	1	no	—
196	C₂×D₄×C₇₃	—	2	16	no	—
197	C₂×D₄×C₇₃	—	2	2	no	—
198	C₂×D₄×C₇₃	—	2	4	no	—
199	C₂×D₄×C₇₃	—	2	4	no	—
200	C₂×D₄×C₇₃	—	2	4	no	—
201	C₂×D₄×C₇₃	—	2	2	no	—
202	C₂×D₄×C₇₃	—	4	4	no	—
203	C₂×D₄×C₇₃	—	4	4	no	—
204	C₂×D₄×C₇₃	—	4	4	no	—
205	C₂×D₄×C₇₃	—	4	4	no	—
206	C₂×D₄×C₇₃	—	8	8	no	—
207	C₂×D₄×C₇₃	C₂×D₄	1	4	yes	complemented
208	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
209	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
210	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₇₃	—	2	1	no	—
212	C₂²×C₄×C₇₃	—	2	8	no	—
213	C₂²×C₄×C₇₃	—	2	2	no	—
214	C₂²×C₄×C₇₃	—	2	2	no	—
215	C₂²×C₄×C₇₃	—	2	1	no	—
216	C₂²×C₄×C₇₃	—	2	2	no	—
217	C₂²×C₄×C₇₃	—	2	2	no	—
218	C₂²×C₄×C₇₃	—	2	2	no	—
219	C₂²×C₄×C₇₃	—	2	8	no	—
220	C₂²×C₄×C₇₃	—	4	4	no	—
221	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
222	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
223	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
224	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
225	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
226	C₂²×C₄×C₇₃	#41	1	4	yes	—
227	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
228	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
229	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
230	Q₁₆×C₇₃	—	2	8	no	—
231	SD₁₆×C₇₃	—	2	16	no	—
232	SD₁₆×C₇₃	—	2	8	no	—
233	SD₁₆×C₇₃	—	2	8	no	—
234	D₈×C₇₃	—	2	16	no	—
235	D₈×C₇₃	—	2	8	no	—
236	M₁₆×C₇₃	—	2	4	no	—
237	M₁₆×C₇₃	—	2	4	no	—
238	M₁₆×C₇₃	—	2	4	no	—
239	M₁₆×C₇₃	—	2	4	no	—
240	C₂×C₈×C₇₃	—	2	4	no	—
241	C₂×C₈×C₇₃	—	2	4	no	—
242	C₂×C₈×C₇₃	C₂⁴	1	4	yes	—
243	C₂×C₈×C₇₃	C₂⁴	1	4	yes	—
244	C₄⋊C₄×C₇₃	—	2	2	no	—
245	C₄⋊C₄×C₇₃	—	2	8	no	—
246	C₄⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
247	C₄⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
248	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
249	C₂²⋊C₄×C₇₃	—	2	2	no	—
250	C₂²⋊C₄×C₇₃	—	2	2	no	—
251	C₂²⋊C₄×C₇₃	—	2	8	no	—
252	C₂²⋊C₄×C₇₃	—	2	16	no	—
253	C₂²⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
254	C₂²⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
255	C₄²×C₇₃	—	2	2	no	—
256	C₄²×C₇₃	—	2	8	no	—
257	C₄²×C₇₃	—	2	2	no	—
258	C₄²×C₇₃	C₂×D₄	1	4	yes	—
259	C₄²×C₇₃	C₂⁴	1	4	yes	—
260	C₂³×C₇₃	—	2	2	no	—
261	C₂³×C₇₃	—	2	4	no	—
262	C₂³×C₇₃	—	2	4	no	—
263	C₂³×C₇₃	—	2	2	no	—
264	C₂³×C₇₃	—	4	2	no	—
265	C₂³×C₇₃	—	4	4	no	—
266	C₂³×C₇₃	—	4	8	no	—
267	C₂³×C₇₃	—	4	2	no	—
268	C₂³×C₇₃	—	4	4	no	—
269	C₂³×C₇₃	—	4	4	no	—
270	C₂³×C₇₃	—	4	4	no	—
271	C₂³×C₇₃	—	8	2	no	—
272	C₂³×C₇₃	—	8	4	no	—
273	C₂³×C₇₃	—	8	4	no	—
274	C₂³×C₇₃	—	8	16	no	—
275	C₂³×C₇₃	#121	1	4	yes	—
276	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
277	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
278	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
279	Q₈×C₇₃	—	2	4	no	—
280	Q₈×C₇₃	—	2	2	no	—
281	Q₈×C₇₃	—	2	2	no	—
282	Q₈×C₇₃	—	2	2	no	—
283	Q₈×C₇₃	—	4	2	no	—
284	Q₈×C₇₃	C₂²×D₄	1	4	yes	—
285	D₄×C₇₃	—	2	8	no	—
286	D₄×C₇₃	—	2	8	no	—
287	D₄×C₇₃	—	2	4	no	—
288	D₄×C₇₃	—	2	4	no	—
289	D₄×C₇₃	—	2	2	no	—
290	D₄×C₇₃	—	2	2	no	—
291	D₄×C₇₃	—	2	4	no	—
292	D₄×C₇₃	—	2	2	no	—
293	D₄×C₇₃	—	4	4	no	—
294	D₄×C₇₃	—	4	4	no	—
295	D₄×C₇₃	—	4	4	no	—
296	D₄×C₇₃	—	4	4	no	—
297	D₄×C₇₃	—	4	4	no	—
298	D₄×C₇₃	—	4	2	no	—
299	D₄×C₇₃	—	8	16	no	—
300	D₄×C₇₃	C₂²×D₄	1	4	yes	—
301	C₂×C₄×C₇₃	—	2	4	no	—
302	C₂×C₄×C₇₃	—	2	2	no	—
303	C₂×C₄×C₇₃	—	2	8	no	—
304	C₂×C₄×C₇₃	—	2	8	no	—
305	C₂×C₄×C₇₃	—	2	4	no	—
306	C₂×C₄×C₇₃	—	2	2	no	—
307	C₂×C₄×C₇₃	—	4	4	no	—
308	C₂×C₄×C₇₃	—	4	2	no	—
309	C₂×C₄×C₇₃	—	4	4	no	—
310	C₂×C₄×C₇₃	—	4	4	no	—
311	C₂×C₄×C₇₃	—	8	8	no	—
312	C₂×C₄×C₇₃	—	8	2	no	—
313	C₂×C₄×C₇₃	#121	1	4	yes	—
314	C₂×C₄×C₇₃	#121	1	4	yes	—
315	C₂×C₄×C₇₃	#121	1	4	yes	—
316	C₂×C₄×C₇₃	C₂²×D₄	1	8	yes	—
317	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
318	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
319	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
320	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
321	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
322	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
323	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
324	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
325	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
326	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
327	C₈×C₇₃	—	2	4	no	—
328	C₈×C₇₃	—	2	4	no	—
329	C₂²×C₇₃	—	2	2	no	—
330	C₂²×C₇₃	—	2	2	no	—
331	C₂²×C₇₃	—	2	2	no	—
332	C₂²×C₇₃	—	2	4	no	—
333	C₂²×C₇₃	—	4	4	no	—
334	C₂²×C₇₃	—	4	4	no	—
335	C₂²×C₇₃	—	4	4	no	—
336	C₂²×C₇₃	—	4	8	no	—
337	C₂²×C₇₃	—	4	2	no	—
338	C₂²×C₇₃	—	4	4	no	—
339	C₂²×C₇₃	—	8	4	no	—
340	C₂²×C₇₃	—	8	4	no	—
341	C₂²×C₇₃	—	8	8	no	—
342	C₂²×C₇₃	—	8	8	no	—
343	C₂²×C₇₃	—	8	8	no	—
344	C₂²×C₇₃	C₂×#121	1	2	yes	—
345	C₂²×C₇₃	C₂×#121	1	2	yes	—
346	C₂²×C₇₃	C₂×#121	1	2	yes	—
347	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
348	C₄×C₇₃	—	2	8	no	—
349	C₄×C₇₃	—	2	4	no	—
350	C₄×C₇₃	—	4	4	no	—
351	C₄×C₇₃	—	4	2	no	—
352	C₄×C₇₃	C₂×#121	1	2	yes	—
353	C₄×C₇₃	C₂×#121	1	2	yes	—
354	C₄×C₇₃	C₂×#121	1	2	yes	—
355	C₄×C₇₃	C₂³×D₄	1	1	yes	characteristic
356	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
357	#60426	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
358	C₂×C₇₃	—	2	2	no	—
359	C₂×C₇₃	—	2	2	no	—
360	C₂×C₇₃	—	2	2	no	—
361	C₂×C₇₃	—	4	4	no	—
362	C₂×C₇₃	—	8	2	no	—
363	C₂×C₇₃	—	8	4	no	—
364	C₂×C₇₃	C₂²×#121	1	1	yes	characteristic
365	C₂×C₇₃	#3585	1	2	yes	—
366	C₂×#575	C₂×C₇₃	1	1	yes	characteristic, complemented
367	C₂²×AGL(1,ℤ/8)	C₂×C₇₃	1	1	yes	characteristic, complemented
368	C₂×#535	C₂×C₇₃	1	1	yes	characteristic, complemented
369	#3428	C₂×C₇₃	1	1	yes	characteristic, complemented
370	#3045	C₂×C₇₃	1	8	yes	complemented
371	#3043	C₂×C₇₃	1	4	yes	complemented
372	#3041	C₂×C₇₃	1	4	yes	complemented
373	#3040	C₂×C₇₃	1	4	yes	complemented
374	#3038	C₂×C₇₃	1	4	yes	complemented
375	#2905	C₂×C₇₃	1	1	yes	characteristic, complemented
376	#2896	C₂×C₇₃	1	1	yes	characteristic, complemented
377	C₂×#418	C₂×C₇₃	1	1	yes	characteristic, complemented
378	C₇₃	#60426	1	1	yes	characteristic, direct product factor, Sylow
379	C₂²×#41	C₂²×C₇₃	1	1	yes	characteristic
380	C₂²×#41	C₂²×C₇₃	1	1	yes	characteristic
381	C₂³×D₄	C₂²×C₇₃	1	1	yes	characteristic
382	#575	—	2	8	no	—
383	C₂×#137	C₂²×C₇₃	1	2	yes	complemented
384	C₂×#137	C₂²×C₇₃	1	2	yes	complemented
385	C₂×AGL(1,ℤ/8)	—	2	8	no	—
386	C₂×AGL(1,ℤ/8)	C₂²×C₇₃	1	4	yes	—
387	C₂×AGL(1,ℤ/8)	C₂²×C₇₃	1	4	yes	complemented
388	C₂×AGL(1,ℤ/8)	C₂²×C₇₃	1	2	yes	complemented
389	C₂×AGL(1,ℤ/8)	C₂²×C₇₃	1	2	yes	complemented
390	C₂×#135	C₂²×C₇₃	1	4	yes	complemented
391	C₂²×SD₁₆	C₂²×C₇₃	1	2	yes	complemented
392	C₂²×D₈	C₂²×C₇₃	1	2	yes	complemented
393	C₂²×M₁₆	C₂²×C₇₃	1	1	yes	characteristic
394	C₂²×M₁₆	C₂²×C₇₃	1	1	yes	characteristic
395	#535	—	2	2	no	—
396	#535	—	2	2	no	—
397	#535	C₂²×C₇₃	1	4	yes	—
398	#535	C₂²×C₇₃	1	4	yes	complemented
399	C₂×#127	C₂²×C₇₃	1	2	yes	complemented
400	C₂×#124	C₂²×C₇₃	1	2	yes	complemented
401	C₂×#121	—	2	2	no	—
402	C₂×#120	—	2	2	no	—
403	#520	—	2	2	no	—
404	#520	C₂²×C₇₃	1	4	yes	complemented
405	#519	C₂²×C₇₃	1	2	yes	complemented
406	#518	—	2	2	no	—
407	#518	C₂²×C₇₃	1	2	yes	complemented
408	C₄×#41	—	2	2	no	—
409	C₄×#41	C₂²×C₇₃	1	4	yes	complemented
410	C₂×#117	—	2	2	no	—
411	C₂×#117	C₂²×C₇₃	1	1	yes	characteristic
412	C₂×#117	C₂²×C₇₃	1	1	yes	characteristic
413	#464	C₂²×C₇₃	1	16	yes	complemented
414	#463	C₂²×C₇₃	1	16	yes	complemented
415	#460	C₂²×C₇₃	1	16	yes	complemented
416	#459	C₂²×C₇₃	1	16	yes	complemented
417	#424	C₂²×C₇₃	1	4	yes	complemented
418	#424	C₂²×C₇₃	1	4	yes	complemented
419	#423	C₂²×C₇₃	1	4	yes	complemented
420	#419	C₂²×C₇₃	1	2	yes	complemented
421	#418	C₂²×C₇₃	1	4	yes	complemented
422	#418	C₂²×C₇₃	1	4	yes	complemented
423	#418	C₂²×C₇₃	1	2	yes	complemented
424	#417	C₂²×C₇₃	1	4	yes	complemented
425	#416	C₂²×C₇₃	1	4	yes	complemented
426	C₂×#102	C₂²×C₇₃	1	4	yes	complemented
427	C₂⁵	—	2	1	no	—
428	C₂×#41	—	2	1	no	—
429	C₂×#41	—	2	1	no	—
430	C₂×#41	—	2	1	no	—
431	C₂×#41	—	2	1	no	—
432	C₂×#41	—	2	4	no	—
433	C₂×#41	—	2	4	no	—
434	C₂×#41	—	2	4	no	—
435	C₂×#41	D₄×C₇₃	1	8	yes	complemented
436	C₂×#41	C₂³×C₇₃	1	2	yes	—
437	C₂×#41	C₂³×C₇₃	1	2	yes	—
438	C₂×#41	C₂³×C₇₃	1	2	yes	—
439	C₂×#41	C₂³×C₇₃	1	2	yes	—
440	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
441	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
442	C₂²×D₄	—	2	1	no	—
443	C₂²×D₄	—	2	1	no	—
444	C₂²×D₄	—	2	4	no	—
445	C₂²×D₄	—	2	1	no	—
446	C₂²×D₄	—	2	1	no	—
447	C₂²×D₄	—	2	1	no	—
448	C₂²×D₄	—	2	4	no	—
449	C₂²×D₄	—	2	4	no	—
450	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
451	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
452	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
453	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
454	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
455	C₂³×C₄	—	2	1	no	—
456	C₂³×C₄	—	2	1	no	—
457	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
458	#137	—	2	8	no	—
459	#137	—	2	8	no	—
460	AGL(1,ℤ/8)	—	2	16	no	—
461	AGL(1,ℤ/8)	—	2	8	no	—
462	AGL(1,ℤ/8)	—	2	16	no	—
463	AGL(1,ℤ/8)	—	2	8	no	—
464	#135	—	2	16	no	—
465	C₂×Q₁₆	C₂³×C₇₃	1	4	yes	complemented
466	C₂×SD₁₆	—	2	8	no	—
467	C₂×SD₁₆	C₂³×C₇₃	1	8	yes	—
468	C₂×SD₁₆	C₂³×C₇₃	1	4	yes	complemented
469	C₂×SD₁₆	C₂³×C₇₃	1	4	yes	complemented
470	C₂×D₈	—	2	8	no	—
471	C₂×D₈	C₂³×C₇₃	1	8	yes	—
472	C₂×D₈	C₂³×C₇₃	1	4	yes	complemented
473	C₂×M₁₆	—	2	4	no	—
474	C₂×M₁₆	—	2	4	no	—
475	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
476	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
477	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
478	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
479	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
480	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
481	#127	—	2	4	no	—
482	#127	C₂³×C₇₃	1	8	yes	—
483	#124	—	2	4	no	—
484	#124	C₂³×C₇₃	1	8	yes	—
485	#121	—	2	8	no	—
486	#121	—	2	8	no	—
487	#120	—	2	8	no	—
488	#120	—	2	8	no	—
489	C₄×Q₈	—	2	4	no	—
490	C₄×Q₈	C₂³×C₇₃	1	8	yes	complemented
491	C₄×D₄	—	2	8	no	—
492	C₄×D₄	—	2	4	no	—
493	C₄×D₄	—	2	8	no	—
494	C₄×D₄	C₂³×C₇₃	1	8	yes	complemented
495	#117	—	2	1	no	—
496	#117	—	2	1	no	—
497	#117	—	2	4	no	—
498	#117	—	2	4	no	—
499	#117	—	2	4	no	—
500	#117	D₄×C₇₃	1	2	yes	—
501	#117	D₄×C₇₃	1	2	yes	—
502	#117	C₂³×C₇₃	1	2	yes	—
503	#117	C₂³×C₇₃	1	2	yes	—
504	#117	C₂³×C₇₃	1	2	yes	—
505	#117	C₂³×C₇₃	1	2	yes	—
506	C₂×C₄⋊C₄	—	2	4	no	—
507	C₂×C₄⋊C₄	D₄×C₇₃	1	2	yes	—
508	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
509	C₂×C₂²⋊C₄	—	2	1	no	—
510	C₂×C₂²⋊C₄	—	2	4	no	—
511	C₂×C₂²⋊C₄	—	2	4	no	—
512	C₂×C₂²⋊C₄	D₄×C₇₃	1	2	yes	—
513	C₂×C₄²	—	2	1	no	—
514	C₂×C₄²	—	2	4	no	—
515	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
516	C₄⋊C₈	C₂³×C₇₃	1	16	yes	complemented
517	#103	C₂³×C₇₃	1	8	yes	complemented
518	#102	C₂³×C₇₃	1	16	yes	—
519	#102	C₂³×C₇₃	1	8	yes	complemented
520	C₂⁴	—	2	1	no	—
521	C₂⁴	—	2	2	no	—
522	C₂⁴	—	2	1	no	—
523	C₂⁴	—	2	2	no	—
524	C₂⁴	—	2	2	no	—
525	C₂⁴	—	4	4	no	—
526	C₂⁴	—	8	4	no	—
527	C₂⁴	C₂×D₄×C₇₃	1	1	yes	characteristic
528	#41	—	2	8	no	—
529	#41	—	2	8	no	—
530	#41	—	2	4	no	—
531	#41	—	2	4	no	—
532	#41	—	2	4	no	—
533	#41	—	2	4	no	—
534	#41	—	2	4	no	—
535	#41	—	2	4	no	—
536	#41	—	4	4	no	—
537	#41	—	4	4	no	—
538	#41	C₂×D₄×C₇₃	1	8	yes	—
539	#41	C₂×D₄×C₇₃	1	8	yes	complemented
540	C₂×Q₈	—	2	1	no	—
541	C₂×Q₈	—	2	1	no	—
542	C₂×Q₈	—	2	2	no	—
543	C₂×Q₈	—	2	2	no	—
544	C₂×Q₈	—	2	2	no	—
545	C₂×Q₈	C₂×D₄×C₇₃	1	4	yes	complemented
546	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
547	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
548	C₂×D₄	—	2	8	no	—
549	C₂×D₄	—	2	2	no	—
550	C₂×D₄	—	2	2	no	—
551	C₂×D₄	—	2	2	no	—
552	C₂×D₄	—	2	2	no	—
553	C₂×D₄	—	2	1	no	—
554	C₂×D₄	—	2	4	no	—
555	C₂×D₄	—	2	4	no	—
556	C₂×D₄	—	2	4	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	1	no	—
562	C₂×D₄	—	2	16	no	—
563	C₂×D₄	—	2	2	no	—
564	C₂×D₄	—	2	4	no	—
565	C₂×D₄	—	2	4	no	—
566	C₂×D₄	—	2	4	no	—
567	C₂×D₄	—	2	2	no	—
568	C₂×D₄	—	4	4	no	—
569	C₂×D₄	—	4	4	no	—
570	C₂×D₄	—	4	4	no	—
571	C₂×D₄	—	4	4	no	—
572	C₂×D₄	—	8	8	no	—
573	C₂×D₄	C₂×D₄×C₇₃	1	4	yes	complemented
574	C₂×D₄	C₂⁴×C₇₃	1	4	yes	—
575	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
576	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	8	no	—
579	C₂²×C₄	—	2	2	no	—
580	C₂²×C₄	—	2	2	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	2	2	no	—
583	C₂²×C₄	—	2	2	no	—
584	C₂²×C₄	—	2	2	no	—
585	C₂²×C₄	—	2	8	no	—
586	C₂²×C₄	—	4	4	no	—
587	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
588	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
589	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
590	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
591	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
592	C₂²×C₄	#41×C₇₃	1	4	yes	—
593	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
594	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
595	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
596	Q₁₆	—	2	8	no	—
597	SD₁₆	—	2	16	no	—
598	SD₁₆	—	2	8	no	—
599	SD₁₆	—	2	8	no	—
600	D₈	—	2	16	no	—
601	D₈	—	2	8	no	—
602	M₁₆	—	2	4	no	—
603	M₁₆	—	2	4	no	—
604	M₁₆	—	2	4	no	—
605	M₁₆	—	2	4	no	—
606	C₂×C₈	—	2	4	no	—
607	C₂×C₈	—	2	4	no	—
608	C₂×C₈	C₂⁴×C₇₃	1	4	yes	—
609	C₂×C₈	C₂⁴×C₇₃	1	4	yes	—
610	C₄⋊C₄	—	2	2	no	—
611	C₄⋊C₄	—	2	8	no	—
612	C₄⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
613	C₄⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
614	C₄⋊C₄	C₂⁴×C₇₃	1	4	yes	—
615	C₂²⋊C₄	—	2	2	no	—
616	C₂²⋊C₄	—	2	2	no	—
617	C₂²⋊C₄	—	2	8	no	—
618	C₂²⋊C₄	—	2	16	no	—
619	C₂²⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
620	C₂²⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
621	C₄²	—	2	2	no	—
622	C₄²	—	2	8	no	—
623	C₄²	—	2	2	no	—
624	C₄²	C₂×D₄×C₇₃	1	4	yes	—
625	C₄²	C₂⁴×C₇₃	1	4	yes	—
626	C₂³	—	2	2	no	—
627	C₂³	—	2	4	no	—
628	C₂³	—	2	4	no	—
629	C₂³	—	2	2	no	—
630	C₂³	—	4	2	no	—
631	C₂³	—	4	4	no	—
632	C₂³	—	4	8	no	—
633	C₂³	—	4	2	no	—
634	C₂³	—	4	4	no	—
635	C₂³	—	4	4	no	—
636	C₂³	—	4	4	no	—
637	C₂³	—	8	4	no	—
638	C₂³	—	8	4	no	—
639	C₂³	—	8	2	no	—
640	C₂³	—	8	16	no	—
641	C₂³	#121×C₇₃	1	4	yes	—
642	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
643	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
644	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
645	Q₈	—	2	4	no	—
646	Q₈	—	2	2	no	—
647	Q₈	—	2	2	no	—
648	Q₈	—	2	2	no	—
649	Q₈	—	4	2	no	—
650	Q₈	C₂²×D₄×C₇₃	1	4	yes	—
651	D₄	—	2	8	no	—
652	D₄	—	2	8	no	—
653	D₄	—	2	4	no	—
654	D₄	—	2	4	no	—
655	D₄	—	2	2	no	—
656	D₄	—	2	2	no	—
657	D₄	—	2	4	no	—
658	D₄	—	2	2	no	—
659	D₄	—	4	4	no	—
660	D₄	—	4	4	no	—
661	D₄	—	4	4	no	—
662	D₄	—	4	4	no	—
663	D₄	—	4	4	no	—
664	D₄	—	4	2	no	—
665	D₄	—	8	16	no	—
666	D₄	C₂²×D₄×C₇₃	1	4	yes	—
667	C₂×C₄	—	2	4	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	8	no	—
670	C₂×C₄	—	2	8	no	—
671	C₂×C₄	—	2	4	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	4	4	no	—
674	C₂×C₄	—	4	2	no	—
675	C₂×C₄	—	4	4	no	—
676	C₂×C₄	—	4	4	no	—
677	C₂×C₄	—	8	8	no	—
678	C₂×C₄	—	8	2	no	—
679	C₂×C₄	#121×C₇₃	1	4	yes	—
680	C₂×C₄	#121×C₇₃	1	4	yes	—
681	C₂×C₄	#121×C₇₃	1	4	yes	—
682	C₂×C₄	C₂²×D₄×C₇₃	1	8	yes	—
683	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
684	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
685	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
686	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
687	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
688	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
689	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
690	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
691	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
692	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
693	C₈	—	2	4	no	—
694	C₈	—	2	4	no	—
695	C₂²	—	2	2	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	2	4	no	—
699	C₂²	—	4	4	no	—
700	C₂²	—	4	4	no	—
701	C₂²	—	4	4	no	—
702	C₂²	—	4	8	no	—
703	C₂²	—	4	2	no	—
704	C₂²	—	4	4	no	—
705	C₂²	—	8	4	no	—
706	C₂²	—	8	8	no	—
707	C₂²	—	8	4	no	—
708	C₂²	—	8	8	no	—
709	C₂²	—	8	8	no	—
710	C₂²	C₂×#121×C₇₃	1	2	yes	—
711	C₂²	C₂×#121×C₇₃	1	2	yes	—
712	C₂²	C₂×#121×C₇₃	1	2	yes	—
713	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
714	C₄	—	2	8	no	—
715	C₄	—	2	4	no	—
716	C₄	—	4	4	no	—
717	C₄	—	4	2	no	—
718	C₄	C₂×#121×C₇₃	1	2	yes	—
719	C₄	C₂×#121×C₇₃	1	2	yes	—
720	C₄	C₂×#121×C₇₃	1	2	yes	—
721	C₄	C₂³×D₄×C₇₃	1	1	yes	characteristic
722	C₄	C₂²×#41×C₇₃	1	1	yes	characteristic
723	C₂	—	2	2	no	—
724	C₂	—	2	2	no	—
725	C₂	—	2	2	no	—
726	C₂	—	4	4	no	—
727	C₂	—	8	4	no	—
728	C₂	—	8	2	no	—
729	C₂	C₂²×#121×C₇₃	1	1	yes	characteristic
730	C₂	C₇₃×#3585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₇₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₃ ◁ C₂×#117×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. C₂²×AGL(1,ℤ/8)×C₇₃	C₂	semidirect
3. C₂×#535×C₇₃	C₂	semidirect
4. C₇₃×#3428	C₂	semidirect
5. C₇₃×#3045	C₂	semidirect
6. C₇₃×#3043	C₂	semidirect
7. C₇₃×#3041	C₂	semidirect
8. C₇₃×#3040	C₂	semidirect
9. C₇₃×#3038	C₂	semidirect
10. C₇₃×#2905	C₂	semidirect
11. C₇₃×#2896	C₂	semidirect
12. C₂×#418×C₇₃	C₂	semidirect
17. C₂×#137×C₇₃	C₂²	semidirect
18. C₂×#137×C₇₃	C₂²	semidirect
21. C₂×AGL(1,ℤ/8)×C₇₃	C₂²	semidirect
22. C₂×AGL(1,ℤ/8)×C₇₃	C₂²	semidirect
23. C₂×AGL(1,ℤ/8)×C₇₃	C₂²	semidirect
24. C₂×#135×C₇₃	C₂²	semidirect
25. C₂²×SD₁₆×C₇₃	C₂²	semidirect
26. C₂²×D₈×C₇₃	C₂²	semidirect
32. #535×C₇₃	C₂²	semidirect
33. C₂×#127×C₇₃	C₂²	semidirect
34. C₂×#124×C₇₃	C₂²	semidirect
38. #520×C₇₃	C₂²	semidirect
39. #519×C₇₃	C₂²	semidirect
41. #518×C₇₃	C₂²	semidirect
43. C₄×#41×C₇₃	C₂²	semidirect
47. #464×C₇₃	C₂²	semidirect
48. #463×C₇₃	C₂²	semidirect
49. #460×C₇₃	C₂²	semidirect
50. #459×C₇₃	C₂²	semidirect
51. #424×C₇₃	C₂²	semidirect
52. #424×C₇₃	C₂²	semidirect
53. #423×C₇₃	C₂²	semidirect
54. #419×C₇₃	C₂²	semidirect
55. #418×C₇₃	C₂²	semidirect
56. #418×C₇₃	C₂²	semidirect
57. #418×C₇₃	C₂²	semidirect
58. #417×C₇₃	C₂²	semidirect
59. #416×C₇₃	C₂²	semidirect
60. C₂×#102×C₇₃	C₂²	semidirect
69. C₂×#41×C₇₃	D₄	semidirect
99. C₂×Q₁₆×C₇₃	C₂³	semidirect
102. C₂×SD₁₆×C₇₃	C₂³	semidirect
103. C₂×SD₁₆×C₇₃	C₂³	semidirect
106. C₂×D₈×C₇₃	C₂³	semidirect
124. C₄×Q₈×C₇₃	C₂³	semidirect
128. C₄×D₄×C₇₃	C₂³	semidirect
150. C₄⋊C₈×C₇₃	C₂³	semidirect
151. #103×C₇₃	C₂³	semidirect
153. #102×C₇₃	C₂³	semidirect
173. #41×C₇₃	C₂×D₄	semidirect
179. C₂×Q₈×C₇₃	C₂×D₄	semidirect
207. C₂×D₄×C₇₃	C₂×D₄	semidirect
357. #60426	C₇₃	direct (N × H)
366. C₂×#575	C₂×C₇₃	semidirect
367. C₂²×AGL(1,ℤ/8)	C₂×C₇₃	semidirect
368. C₂×#535	C₂×C₇₃	semidirect
369. #3428	C₂×C₇₃	semidirect
370. #3045	C₂×C₇₃	semidirect
371. #3043	C₂×C₇₃	semidirect
372. #3041	C₂×C₇₃	semidirect
373. #3040	C₂×C₇₃	semidirect
374. #3038	C₂×C₇₃	semidirect
375. #2905	C₂×C₇₃	semidirect
376. #2896	C₂×C₇₃	semidirect
377. C₂×#418	C₂×C₇₃	semidirect
378. C₇₃	#60426	direct (N × H)
383. C₂×#137	C₂²×C₇₃	semidirect
384. C₂×#137	C₂²×C₇₃	semidirect
387. C₂×AGL(1,ℤ/8)	C₂²×C₇₃	semidirect
388. C₂×AGL(1,ℤ/8)	C₂²×C₇₃	semidirect
389. C₂×AGL(1,ℤ/8)	C₂²×C₇₃	semidirect
390. C₂×#135	C₂²×C₇₃	semidirect
391. C₂²×SD₁₆	C₂²×C₇₃	semidirect
392. C₂²×D₈	C₂²×C₇₃	semidirect
398. #535	C₂²×C₇₃	semidirect
399. C₂×#127	C₂²×C₇₃	semidirect
400. C₂×#124	C₂²×C₇₃	semidirect
404. #520	C₂²×C₇₃	semidirect
405. #519	C₂²×C₇₃	semidirect
407. #518	C₂²×C₇₃	semidirect
409. C₄×#41	C₂²×C₇₃	semidirect
413. #464	C₂²×C₇₃	semidirect
414. #463	C₂²×C₇₃	semidirect
415. #460	C₂²×C₇₃	semidirect
416. #459	C₂²×C₇₃	semidirect
417. #424	C₂²×C₇₃	semidirect
418. #424	C₂²×C₇₃	semidirect
419. #423	C₂²×C₇₃	semidirect
420. #419	C₂²×C₇₃	semidirect
421. #418	C₂²×C₇₃	semidirect
422. #418	C₂²×C₇₃	semidirect
423. #418	C₂²×C₇₃	semidirect
424. #417	C₂²×C₇₃	semidirect
425. #416	C₂²×C₇₃	semidirect
426. C₂×#102	C₂²×C₇₃	semidirect
435. C₂×#41	D₄×C₇₃	semidirect
465. C₂×Q₁₆	C₂³×C₇₃	semidirect
468. C₂×SD₁₆	C₂³×C₇₃	semidirect
469. C₂×SD₁₆	C₂³×C₇₃	semidirect
472. C₂×D₈	C₂³×C₇₃	semidirect
490. C₄×Q₈	C₂³×C₇₃	semidirect
494. C₄×D₄	C₂³×C₇₃	semidirect
516. C₄⋊C₈	C₂³×C₇₃	semidirect
517. #103	C₂³×C₇₃	semidirect
519. #102	C₂³×C₇₃	semidirect
539. #41	C₂×D₄×C₇₃	semidirect
545. C₂×Q₈	C₂×D₄×C₇₃	semidirect
573. C₂×D₄	C₂×D₄×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
C₂²×AGL(1,ℤ/8)×C₇₃	2
C₂×#535×C₇₃	2
C₇₃×#3428	2
C₇₃×#3045	2
C₇₃×#3043	2
C₇₃×#3041	2
C₇₃×#3040	2
C₇₃×#3038	2
C₇₃×#2905	2
C₇₃×#2896	2
C₂×#418×C₇₃	2
#60426	73

Subgroups — C73×#60426 #32969830

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#60426 #32969830