Subgroups — C₇₃×#59623 #32969027

Order 18688.

2428 conjugacy classes of subgroups.

The subgroup lattice has 1032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#2804	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₃×#2797	C₂	1	2	yes	maximal, complemented
3	C₇₃×#2709	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#2600	C₂	1	2	yes	maximal, complemented
5	C₇₃×#2597	C₂	1	2	yes	maximal, complemented
6	C₇₃×#2557	C₂	1	2	yes	maximal, complemented
7	C₇₃×#2544	C₂	1	2	yes	maximal, complemented
8	C₇₃×#2472	C₂	1	2	yes	maximal, complemented
9	C₇₃×#2472	C₂	1	2	yes	maximal, complemented
10	C₇₃×#2459	C₂	1	2	yes	maximal, complemented
11	C₇₃×#2444	C₂	1	2	yes	maximal, complemented
12	C₇₃×#2433	C₂	1	1	yes	maximal, characteristic
13	C₇₃×#2405	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#2374	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#2368	C₂	1	2	yes	maximal, complemented
16	C₇₃×#2366	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#2358	C₂	1	2	yes	maximal, complemented
18	C₄×#120×C₇₃	C₂	1	2	yes	maximal, complemented
19	C₂×#386×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic
21	C₂⁴×C₄×C₇₃	C₂²	1	1	yes	characteristic
22	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic
23	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic
24	C₂×#124×C₇₃	C₂²	1	2	yes	complemented
25	C₂×#124×C₇₃	C₂²	1	2	yes	complemented
26	C₂×#123×C₇₃	C₂²	1	1	yes	characteristic
27	C₂×#123×C₇₃	C₂²	1	1	yes	characteristic
28	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
29	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
30	C₂×#120×C₇₃	C₂²	1	2	yes	—
31	C₂×#120×C₇₃	C₂²	1	2	yes	—
32	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
33	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
34	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
35	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
36	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
37	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
38	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
39	#400×C₇₃	C₂²	1	2	yes	complemented
40	#397×C₇₃	C₂²	1	2	yes	complemented
41	#397×C₇₃	C₂²	1	2	yes	complemented
42	#397×C₇₃	C₂²	1	2	yes	complemented
43	#397×C₇₃	C₂²	1	2	yes	complemented
44	#394×C₇₃	C₂²	1	2	yes	—
45	#394×C₇₃	C₂²	1	2	yes	—
46	#394×C₇₃	C₂²	1	2	yes	complemented
47	#394×C₇₃	C₂²	1	2	yes	complemented
48	#394×C₇₃	C₂²	1	2	yes	complemented
49	#394×C₇₃	C₂²	1	2	yes	complemented
50	#394×C₇₃	C₂²	1	2	yes	complemented
51	#393×C₇₃	C₂²	1	2	yes	complemented
52	#393×C₇₃	C₂²	1	2	yes	complemented
53	#392×C₇₃	C₂²	1	2	yes	—
54	#392×C₇₃	C₂²	1	2	yes	—
55	#391×C₇₃	C₂²	1	2	yes	complemented
56	#391×C₇₃	C₂²	1	2	yes	complemented
57	#390×C₇₃	C₂²	1	1	yes	characteristic
58	#390×C₇₃	C₂²	1	1	yes	characteristic
59	#390×C₇₃	C₂²	1	2	yes	complemented
60	#390×C₇₃	C₂²	1	2	yes	complemented
61	#390×C₇₃	C₂²	1	2	yes	complemented
62	#388×C₇₃	C₂²	1	2	yes	complemented
63	#388×C₇₃	C₂²	1	2	yes	complemented
64	#388×C₇₃	C₂²	1	2	yes	complemented
65	#388×C₇₃	C₂²	1	2	yes	complemented
66	#388×C₇₃	C₂²	1	2	yes	complemented
67	#388×C₇₃	C₂²	1	2	yes	complemented
68	#388×C₇₃	C₂²	1	2	yes	complemented
69	#387×C₇₃	C₂²	1	2	yes	complemented
70	#387×C₇₃	C₂²	1	2	yes	complemented
71	#387×C₇₃	C₂²	1	2	yes	complemented
72	#387×C₇₃	C₂²	1	2	yes	complemented
73	#387×C₇₃	C₂²	1	2	yes	complemented
74	#386×C₇₃	C₂²	1	2	yes	—
75	#386×C₇₃	C₂²	1	2	yes	—
76	#386×C₇₃	C₂²	1	2	yes	—
77	#386×C₇₃	C₂²	1	1	yes	characteristic
78	#386×C₇₃	C₂²	1	1	yes	characteristic
79	#386×C₇₃	C₂²	1	1	yes	characteristic
80	#386×C₇₃	C₂²	1	2	yes	—
81	#386×C₇₃	C₂²	1	2	yes	—
82	#386×C₇₃	C₂²	1	1	yes	characteristic
83	#386×C₇₃	C₂²	1	1	yes	characteristic
84	#386×C₇₃	C₂²	1	1	yes	characteristic
85	#386×C₇₃	C₂²	1	2	yes	complemented
86	#386×C₇₃	C₂²	1	2	yes	complemented
87	#386×C₇₃	C₂²	1	2	yes	complemented
88	#386×C₇₃	C₂²	1	2	yes	complemented
89	#386×C₇₃	C₂²	1	2	yes	complemented
90	#385×C₇₃	C₂²	1	2	yes	—
91	#385×C₇₃	C₂²	1	2	yes	—
92	#385×C₇₃	C₂²	1	2	yes	complemented
93	#385×C₇₃	C₂²	1	2	yes	complemented
94	#385×C₇₃	C₂²	1	2	yes	complemented
95	#381×C₇₃	C₂²	1	2	yes	complemented
96	#379×C₇₃	C₂²	1	1	yes	characteristic
97	#379×C₇₃	C₂²	1	2	yes	—
98	C₄×C₄⋊C₄×C₇₃	C₂²	1	2	yes	complemented
99	C₄×C₄⋊C₄×C₇₃	C₂²	1	2	yes	complemented
100	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
101	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
102	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
103	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
104	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
105	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
106	C₂×#95×C₇₃	C₂²	1	2	yes	—
107	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic
108	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic
109	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
110	C₂²×D₄×C₇₃	—	2	4	no	—
111	C₂²×D₄×C₇₃	—	4	2	no	—
112	C₂²×D₄×C₇₃	—	4	2	no	—
113	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
114	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
115	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
116	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
117	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
118	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
119	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
120	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
121	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
122	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
123	C₂³×C₄×C₇₃	—	4	4	no	—
124	C₂³×C₄×C₇₃	—	4	2	no	—
125	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
127	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
128	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
129	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
130	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
131	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
132	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
134	#127×C₇₃	—	2	4	no	—
135	#127×C₇₃	—	4	2	no	—
136	#124×C₇₃	—	4	4	no	—
137	#124×C₇₃	—	4	4	no	—
138	#123×C₇₃	—	2	4	no	—
139	#123×C₇₃	—	4	2	no	—
140	C₂²⋊Q₈×C₇₃	—	2	8	no	—
141	#121×C₇₃	—	4	2	no	—
142	#120×C₇₃	—	2	8	no	—
143	#120×C₇₃	—	2	8	no	—
144	C₄×D₄×C₇₃	—	4	4	no	—
145	C₄×D₄×C₇₃	—	4	4	no	—
146	C₄×D₄×C₇₃	—	4	4	no	—
147	C₄×D₄×C₇₃	—	4	4	no	—
148	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
149	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
150	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
151	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
152	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
153	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
154	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
155	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
156	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
157	C₂×C₂²⋊C₄×C₇₃	—	4	4	no	—
158	C₂×C₂²⋊C₄×C₇₃	—	4	2	no	—
159	C₂×C₂²⋊C₄×C₇₃	—	4	2	no	—
160	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
161	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
162	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
163	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
164	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
165	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
166	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
167	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
168	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
169	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
170	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
171	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
172	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
175	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
176	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
181	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
183	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
184	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
185	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
189	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
190	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
191	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
193	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
194	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
195	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
196	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
197	#95×C₇₃	C₂³	1	2	yes	—
198	#95×C₇₃	C₂³	1	2	yes	—
199	#95×C₇₃	C₂³	1	2	yes	—
200	#95×C₇₃	C₂³	1	2	yes	—
201	#95×C₇₃	C₂³	1	2	yes	—
202	#95×C₇₃	C₂³	1	2	yes	—
203	#95×C₇₃	C₂³	1	2	yes	—
204	#95×C₇₃	C₂³	1	2	yes	—
205	#95×C₇₃	C₂³	1	2	yes	—
206	#95×C₇₃	C₂³	1	2	yes	—
207	#95×C₇₃	C₂³	1	2	yes	—
208	#95×C₇₃	C₂³	1	2	yes	—
209	#95×C₇₃	C₂³	1	2	yes	—
210	#95×C₇₃	C₂³	1	2	yes	—
211	#95×C₇₃	C₂³	1	2	yes	—
212	#95×C₇₃	C₂³	1	2	yes	—
213	#95×C₇₃	C₂³	1	2	yes	—
214	#95×C₇₃	C₂³	1	2	yes	—
215	#95×C₇₃	C₂³	1	2	yes	—
216	C₂⁴×C₇₃	—	2	2	no	—
217	C₂⁴×C₇₃	—	2	2	no	—
218	C₂⁴×C₇₃	—	2	2	no	—
219	C₂⁴×C₇₃	—	2	4	no	—
220	C₂⁴×C₇₃	—	2	2	no	—
221	C₂⁴×C₇₃	—	2	4	no	—
222	C₂⁴×C₇₃	—	2	2	no	—
223	C₂⁴×C₇₃	—	4	2	no	—
224	C₂⁴×C₇₃	—	4	2	no	—
225	C₂⁴×C₇₃	—	4	1	no	—
226	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
227	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
228	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
229	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
230	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
231	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
232	C₂×Q₈×C₇₃	—	2	4	no	—
233	C₂×Q₈×C₇₃	—	4	2	no	—
234	C₂×Q₈×C₇₃	—	4	2	no	—
235	C₂×D₄×C₇₃	—	2	4	no	—
236	C₂×D₄×C₇₃	—	2	4	no	—
237	C₂×D₄×C₇₃	—	2	4	no	—
238	C₂×D₄×C₇₃	—	2	4	no	—
239	C₂×D₄×C₇₃	—	2	2	no	—
240	C₂×D₄×C₇₃	—	2	2	no	—
241	C₂×D₄×C₇₃	—	2	4	no	—
242	C₂×D₄×C₇₃	—	2	2	no	—
243	C₂×D₄×C₇₃	—	2	4	no	—
244	C₂×D₄×C₇₃	—	2	2	no	—
245	C₂×D₄×C₇₃	—	2	4	no	—
246	C₂×D₄×C₇₃	—	2	4	no	—
247	C₂×D₄×C₇₃	—	2	4	no	—
248	C₂×D₄×C₇₃	—	2	2	no	—
249	C₂×D₄×C₇₃	—	2	4	no	—
250	C₂×D₄×C₇₃	—	2	2	no	—
251	C₂×D₄×C₇₃	—	4	2	no	—
252	C₂×D₄×C₇₃	—	4	2	no	—
253	C₂×D₄×C₇₃	—	4	2	no	—
254	C₂×D₄×C₇₃	—	4	1	no	—
255	C₂×D₄×C₇₃	—	4	1	no	—
256	C₂×D₄×C₇₃	—	4	1	no	—
257	C₂×D₄×C₇₃	—	4	1	no	—
258	C₂×D₄×C₇₃	—	4	1	no	—
259	C₂×D₄×C₇₃	—	4	1	no	—
260	C₂×D₄×C₇₃	—	4	1	no	—
261	C₂×D₄×C₇₃	—	4	2	no	—
262	C₂×D₄×C₇₃	—	4	2	no	—
263	C₂×D₄×C₇₃	—	4	1	no	—
264	C₂×D₄×C₇₃	—	4	16	no	—
265	C₂×D₄×C₇₃	#41	1	4	yes	—
266	C₂²×C₄×C₇₃	—	2	4	no	—
267	C₂²×C₄×C₇₃	—	2	2	no	—
268	C₂²×C₄×C₇₃	—	2	4	no	—
269	C₂²×C₄×C₇₃	—	2	2	no	—
270	C₂²×C₄×C₇₃	—	2	2	no	—
271	C₂²×C₄×C₇₃	—	2	4	no	—
272	C₂²×C₄×C₇₃	—	2	4	no	—
273	C₂²×C₄×C₇₃	—	2	4	no	—
274	C₂²×C₄×C₇₃	—	2	4	no	—
275	C₂²×C₄×C₇₃	—	4	1	no	—
276	C₂²×C₄×C₇₃	—	4	2	no	—
277	C₂²×C₄×C₇₃	—	4	2	no	—
278	C₂²×C₄×C₇₃	—	4	2	no	—
279	C₂²×C₄×C₇₃	—	4	2	no	—
280	C₂²×C₄×C₇₃	—	4	1	no	—
281	C₂²×C₄×C₇₃	—	4	1	no	—
282	C₂²×C₄×C₇₃	—	4	1	no	—
283	C₂²×C₄×C₇₃	—	4	2	no	—
284	C₂²×C₄×C₇₃	—	4	2	no	—
285	C₂²×C₄×C₇₃	—	4	1	no	—
286	C₂²×C₄×C₇₃	—	4	2	no	—
287	C₂²×C₄×C₇₃	—	4	2	no	—
288	C₂²×C₄×C₇₃	—	4	2	no	—
289	C₂²×C₄×C₇₃	—	4	1	no	—
290	C₂²×C₄×C₇₃	—	4	16	no	—
291	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
293	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
295	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
304	C₄⋊C₄×C₇₃	—	2	4	no	—
305	C₄⋊C₄×C₇₃	—	2	4	no	—
306	C₄⋊C₄×C₇₃	—	2	4	no	—
307	C₄⋊C₄×C₇₃	—	2	4	no	—
308	C₄⋊C₄×C₇₃	—	2	4	no	—
309	C₄⋊C₄×C₇₃	—	4	2	no	—
310	C₄⋊C₄×C₇₃	—	4	2	no	—
311	C₄⋊C₄×C₇₃	—	4	1	no	—
312	C₄⋊C₄×C₇₃	—	4	2	no	—
313	C₂²⋊C₄×C₇₃	—	2	4	no	—
314	C₂²⋊C₄×C₇₃	—	2	2	no	—
315	C₂²⋊C₄×C₇₃	—	2	4	no	—
316	C₂²⋊C₄×C₇₃	—	2	4	no	—
317	C₂²⋊C₄×C₇₃	—	2	4	no	—
318	C₂²⋊C₄×C₇₃	—	2	4	no	—
319	C₂²⋊C₄×C₇₃	—	2	4	no	—
320	C₂²⋊C₄×C₇₃	—	2	4	no	—
321	C₂²⋊C₄×C₇₃	—	2	4	no	—
322	C₂²⋊C₄×C₇₃	—	2	4	no	—
323	C₂²⋊C₄×C₇₃	—	2	4	no	—
324	C₂²⋊C₄×C₇₃	—	2	4	no	—
325	C₂²⋊C₄×C₇₃	—	2	4	no	—
326	C₂²⋊C₄×C₇₃	—	4	1	no	—
327	C₂²⋊C₄×C₇₃	—	4	2	no	—
328	C₂²⋊C₄×C₇₃	—	4	2	no	—
329	C₂²⋊C₄×C₇₃	—	4	1	no	—
330	C₂²⋊C₄×C₇₃	—	4	2	no	—
331	C₂²⋊C₄×C₇₃	—	4	2	no	—
332	C₂²⋊C₄×C₇₃	—	4	2	no	—
333	C₂²⋊C₄×C₇₃	—	4	2	no	—
334	C₂²⋊C₄×C₇₃	—	4	2	no	—
335	C₂²⋊C₄×C₇₃	—	4	2	no	—
336	C₂²⋊C₄×C₇₃	—	4	2	no	—
337	C₂²⋊C₄×C₇₃	—	4	1	no	—
338	C₂²⋊C₄×C₇₃	—	4	2	no	—
339	C₂²⋊C₄×C₇₃	—	4	2	no	—
340	C₂²⋊C₄×C₇₃	—	4	2	no	—
341	C₂²⋊C₄×C₇₃	—	4	2	no	—
342	C₂²⋊C₄×C₇₃	#41	1	8	yes	—
343	C₄²×C₇₃	—	2	2	no	—
344	C₄²×C₇₃	—	2	4	no	—
345	C₄²×C₇₃	—	4	2	no	—
346	C₄²×C₇₃	—	4	2	no	—
347	C₄²×C₇₃	—	4	2	no	—
348	C₄²×C₇₃	—	4	2	no	—
349	C₄²×C₇₃	—	4	1	no	—
350	C₂³×C₇₃	—	2	1	no	—
351	C₂³×C₇₃	—	2	2	no	—
352	C₂³×C₇₃	—	2	1	no	—
353	C₂³×C₇₃	—	2	8	no	—
354	C₂³×C₇₃	—	2	2	no	—
355	C₂³×C₇₃	—	2	2	no	—
356	C₂³×C₇₃	—	2	2	no	—
357	C₂³×C₇₃	—	2	1	no	—
358	C₂³×C₇₃	—	2	2	no	—
359	C₂³×C₇₃	—	2	1	no	—
360	C₂³×C₇₃	—	2	2	no	—
361	C₂³×C₇₃	—	2	2	no	—
362	C₂³×C₇₃	—	2	1	no	—
363	C₂³×C₇₃	—	2	1	no	—
364	C₂³×C₇₃	—	2	1	no	—
365	C₂³×C₇₃	—	2	1	no	—
366	C₂³×C₇₃	—	2	2	no	—
367	C₂³×C₇₃	—	2	2	no	—
368	C₂³×C₇₃	—	2	2	no	—
369	C₂³×C₇₃	—	2	2	no	—
370	C₂³×C₇₃	—	2	1	no	—
371	C₂³×C₇₃	—	2	2	no	—
372	C₂³×C₇₃	—	2	2	no	—
373	C₂³×C₇₃	—	2	2	no	—
374	C₂³×C₇₃	—	2	2	no	—
375	C₂³×C₇₃	—	2	2	no	—
376	C₂³×C₇₃	—	2	1	no	—
377	C₂³×C₇₃	—	2	1	no	—
378	C₂³×C₇₃	—	4	8	no	—
379	C₂³×C₇₃	—	4	8	no	—
380	C₂³×C₇₃	—	4	4	no	—
381	C₂³×C₇₃	—	4	8	no	—
382	C₂³×C₇₃	—	4	4	no	—
383	C₂³×C₇₃	—	4	4	no	—
384	C₂³×C₇₃	—	4	4	no	—
385	C₂³×C₇₃	—	8	4	no	—
386	C₂³×C₇₃	—	8	2	no	—
387	C₂³×C₇₃	C₂×#41	1	2	yes	—
388	C₂³×C₇₃	C₂×#41	1	2	yes	—
389	C₂³×C₇₃	C₂×#41	1	4	yes	—
390	C₂³×C₇₃	H(5,𝔽₂)	1	2	yes	—
391	C₂³×C₇₃	H(5,𝔽₂)	1	2	yes	—
392	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
393	Q₈×C₇₃	—	8	4	no	—
394	D₄×C₇₃	—	4	4	no	—
395	D₄×C₇₃	—	4	8	no	—
396	D₄×C₇₃	—	4	8	no	—
397	D₄×C₇₃	—	4	8	no	—
398	D₄×C₇₃	—	4	4	no	—
399	D₄×C₇₃	—	4	4	no	—
400	D₄×C₇₃	—	4	4	no	—
401	D₄×C₇₃	—	4	8	no	—
402	D₄×C₇₃	—	8	2	no	—
403	D₄×C₇₃	—	8	4	no	—
404	C₂×C₄×C₇₃	—	2	2	no	—
405	C₂×C₄×C₇₃	—	2	2	no	—
406	C₂×C₄×C₇₃	—	2	2	no	—
407	C₂×C₄×C₇₃	—	2	2	no	—
408	C₂×C₄×C₇₃	—	2	2	no	—
409	C₂×C₄×C₇₃	—	2	2	no	—
410	C₂×C₄×C₇₃	—	2	1	no	—
411	C₂×C₄×C₇₃	—	2	1	no	—
412	C₂×C₄×C₇₃	—	2	2	no	—
413	C₂×C₄×C₇₃	—	2	2	no	—
414	C₂×C₄×C₇₃	—	2	2	no	—
415	C₂×C₄×C₇₃	—	2	2	no	—
416	C₂×C₄×C₇₃	—	2	2	no	—
417	C₂×C₄×C₇₃	—	2	2	no	—
418	C₂×C₄×C₇₃	—	2	2	no	—
419	C₂×C₄×C₇₃	—	2	2	no	—
420	C₂×C₄×C₇₃	—	2	1	no	—
421	C₂×C₄×C₇₃	—	2	2	no	—
422	C₂×C₄×C₇₃	—	2	2	no	—
423	C₂×C₄×C₇₃	—	2	2	no	—
424	C₂×C₄×C₇₃	—	2	2	no	—
425	C₂×C₄×C₇₃	—	2	2	no	—
426	C₂×C₄×C₇₃	—	2	2	no	—
427	C₂×C₄×C₇₃	—	2	2	no	—
428	C₂×C₄×C₇₃	—	2	2	no	—
429	C₂×C₄×C₇₃	—	2	2	no	—
430	C₂×C₄×C₇₃	—	2	2	no	—
431	C₂×C₄×C₇₃	—	2	2	no	—
432	C₂×C₄×C₇₃	—	2	2	no	—
433	C₂×C₄×C₇₃	—	2	2	no	—
434	C₂×C₄×C₇₃	—	2	2	no	—
435	C₂×C₄×C₇₃	—	2	1	no	—
436	C₂×C₄×C₇₃	—	2	2	no	—
437	C₂×C₄×C₇₃	—	2	2	no	—
438	C₂×C₄×C₇₃	—	2	1	no	—
439	C₂×C₄×C₇₃	—	4	4	no	—
440	C₂×C₄×C₇₃	—	4	8	no	—
441	C₂×C₄×C₇₃	—	4	4	no	—
442	C₂×C₄×C₇₃	—	4	8	no	—
443	C₂×C₄×C₇₃	—	4	4	no	—
444	C₂×C₄×C₇₃	—	8	4	no	—
445	C₂×C₄×C₇₃	—	8	2	no	—
446	C₂×C₄×C₇₃	—	8	4	no	—
447	C₂×C₄×C₇₃	—	8	2	no	—
448	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
449	C₂×C₄×C₇₃	C₂×#41	1	4	yes	—
450	C₂×C₄×C₇₃	C₂×#41	1	4	yes	—
451	C₂×C₄×C₇₃	H(5,𝔽₂)	1	4	yes	—
452	C₂²×C₇₃	—	2	4	no	—
453	C₂²×C₇₃	—	2	2	no	—
454	C₂²×C₇₃	—	2	4	no	—
455	C₂²×C₇₃	—	2	2	no	—
456	C₂²×C₇₃	—	2	4	no	—
457	C₂²×C₇₃	—	2	4	no	—
458	C₂²×C₇₃	—	2	2	no	—
459	C₂²×C₇₃	—	2	2	no	—
460	C₂²×C₇₃	—	2	2	no	—
461	C₂²×C₇₃	—	2	4	no	—
462	C₂²×C₇₃	—	4	16	no	—
463	C₂²×C₇₃	—	4	1	no	—
464	C₂²×C₇₃	—	4	1	no	—
465	C₂²×C₇₃	—	4	1	no	—
466	C₂²×C₇₃	—	4	2	no	—
467	C₂²×C₇₃	—	4	2	no	—
468	C₂²×C₇₃	—	4	2	no	—
469	C₂²×C₇₃	—	4	1	no	—
470	C₂²×C₇₃	—	4	1	no	—
471	C₂²×C₇₃	—	4	1	no	—
472	C₂²×C₇₃	—	4	2	no	—
473	C₂²×C₇₃	—	4	1	no	—
474	C₂²×C₇₃	—	4	2	no	—
475	C₂²×C₇₃	—	4	2	no	—
476	C₂²×C₇₃	—	4	2	no	—
477	C₂²×C₇₃	—	4	1	no	—
478	C₂²×C₇₃	—	4	2	no	—
479	C₂²×C₇₃	—	4	2	no	—
480	C₂²×C₇₃	—	4	2	no	—
481	C₂²×C₇₃	—	4	2	no	—
482	C₂²×C₇₃	—	4	2	no	—
483	C₂²×C₇₃	—	4	1	no	—
484	C₂²×C₇₃	—	8	8	no	—
485	C₂²×C₇₃	#559	1	4	yes	—
486	C₂²×C₇₃	C₂²×#41	1	2	yes	—
487	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
488	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
489	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
490	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
491	C₄×C₇₃	—	2	4	no	—
492	C₄×C₇₃	—	2	2	no	—
493	C₄×C₇₃	—	2	4	no	—
494	C₄×C₇₃	—	2	4	no	—
495	C₄×C₇₃	—	4	2	no	—
496	C₄×C₇₃	—	4	2	no	—
497	C₄×C₇₃	—	4	1	no	—
498	C₄×C₇₃	—	4	2	no	—
499	C₄×C₇₃	—	4	2	no	—
500	C₄×C₇₃	—	4	2	no	—
501	C₄×C₇₃	—	4	2	no	—
502	C₄×C₇₃	—	4	2	no	—
503	C₄×C₇₃	—	4	2	no	—
504	#59623	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
505	C₂×C₇₃	—	2	4	no	—
506	C₂×C₇₃	—	4	2	no	—
507	C₂×C₇₃	—	4	2	no	—
508	C₂×C₇₃	—	4	2	no	—
509	C₂×C₇₃	—	8	2	no	—
510	C₂×C₇₃	—	8	1	no	—
511	C₂×C₇₃	C₂×#559	1	1	yes	characteristic
512	C₂×C₇₃	#3481	1	2	yes	—
513	C₂×C₇₃	#3490	1	1	yes	characteristic
514	C₂×C₇₃	#3519	1	2	yes	—
515	C₂×C₇₃	#3532	1	1	yes	characteristic
516	#2804	C₂×C₇₃	1	1	yes	characteristic, complemented
517	#2797	C₂×C₇₃	1	2	yes	complemented
518	#2709	C₂×C₇₃	1	1	yes	characteristic, complemented
519	#2600	C₂×C₇₃	1	2	yes	complemented
520	#2597	C₂×C₇₃	1	2	yes	complemented
521	#2557	C₂×C₇₃	1	2	yes	complemented
522	#2544	C₂×C₇₃	1	2	yes	complemented
523	#2472	C₂×C₇₃	1	2	yes	complemented
524	#2472	C₂×C₇₃	1	2	yes	complemented
525	#2459	C₂×C₇₃	1	2	yes	complemented
526	#2444	C₂×C₇₃	1	2	yes	complemented
527	#2433	C₂×C₇₃	1	1	yes	characteristic
528	#2405	C₂×C₇₃	1	1	yes	characteristic, complemented
529	#2374	C₂×C₇₃	1	1	yes	characteristic, complemented
530	#2368	C₂×C₇₃	1	2	yes	complemented
531	#2366	C₂×C₇₃	1	1	yes	characteristic, complemented
532	#2358	C₂×C₇₃	1	2	yes	complemented
533	C₄×#120	C₂×C₇₃	1	2	yes	complemented
534	C₂×#386	C₂×C₇₃	1	1	yes	characteristic, complemented
535	C₇₃	#59623	1	1	yes	characteristic, direct product factor, Sylow
536	C₂³×D₄	C₂²×C₇₃	1	1	yes	characteristic
537	C₂⁴×C₄	C₂²×C₇₃	1	1	yes	characteristic
538	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic
539	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic
540	C₂×#124	C₂²×C₇₃	1	2	yes	complemented
541	C₂×#124	C₂²×C₇₃	1	2	yes	complemented
542	C₂×#123	C₂²×C₇₃	1	1	yes	characteristic
543	C₂×#123	C₂²×C₇₃	1	1	yes	characteristic
544	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
545	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
546	C₂×#120	C₂²×C₇₃	1	2	yes	—
547	C₂×#120	C₂²×C₇₃	1	2	yes	—
548	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
549	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	complemented
550	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	complemented
551	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	complemented
552	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
553	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
554	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
555	#400	C₂²×C₇₃	1	2	yes	complemented
556	#397	C₂²×C₇₃	1	2	yes	complemented
557	#397	C₂²×C₇₃	1	2	yes	complemented
558	#397	C₂²×C₇₃	1	2	yes	complemented
559	#397	C₂²×C₇₃	1	2	yes	complemented
560	#394	C₂²×C₇₃	1	2	yes	—
561	#394	C₂²×C₇₃	1	2	yes	—
562	#394	C₂²×C₇₃	1	2	yes	complemented
563	#394	C₂²×C₇₃	1	2	yes	complemented
564	#394	C₂²×C₇₃	1	2	yes	complemented
565	#394	C₂²×C₇₃	1	2	yes	complemented
566	#394	C₂²×C₇₃	1	2	yes	complemented
567	#393	C₂²×C₇₃	1	2	yes	complemented
568	#393	C₂²×C₇₃	1	2	yes	complemented
569	#392	C₂²×C₇₃	1	2	yes	—
570	#392	C₂²×C₇₃	1	2	yes	—
571	#391	C₂²×C₇₃	1	2	yes	complemented
572	#391	C₂²×C₇₃	1	2	yes	complemented
573	#390	C₂²×C₇₃	1	1	yes	characteristic
574	#390	C₂²×C₇₃	1	1	yes	characteristic
575	#390	C₂²×C₇₃	1	2	yes	complemented
576	#390	C₂²×C₇₃	1	2	yes	complemented
577	#390	C₂²×C₇₃	1	2	yes	complemented
578	#388	C₂²×C₇₃	1	2	yes	complemented
579	#388	C₂²×C₇₃	1	2	yes	complemented
580	#388	C₂²×C₇₃	1	2	yes	complemented
581	#388	C₂²×C₇₃	1	2	yes	complemented
582	#388	C₂²×C₇₃	1	2	yes	complemented
583	#388	C₂²×C₇₃	1	2	yes	complemented
584	#388	C₂²×C₇₃	1	2	yes	complemented
585	#387	C₂²×C₇₃	1	2	yes	complemented
586	#387	C₂²×C₇₃	1	2	yes	complemented
587	#387	C₂²×C₇₃	1	2	yes	complemented
588	#387	C₂²×C₇₃	1	2	yes	complemented
589	#387	C₂²×C₇₃	1	2	yes	complemented
590	#386	C₂²×C₇₃	1	2	yes	—
591	#386	C₂²×C₇₃	1	1	yes	characteristic
592	#386	C₂²×C₇₃	1	2	yes	—
593	#386	C₂²×C₇₃	1	2	yes	—
594	#386	C₂²×C₇₃	1	1	yes	characteristic
595	#386	C₂²×C₇₃	1	1	yes	characteristic
596	#386	C₂²×C₇₃	1	2	yes	—
597	#386	C₂²×C₇₃	1	2	yes	—
598	#386	C₂²×C₇₃	1	1	yes	characteristic
599	#386	C₂²×C₇₃	1	1	yes	characteristic
600	#386	C₂²×C₇₃	1	1	yes	characteristic
601	#386	C₂²×C₇₃	1	2	yes	complemented
602	#386	C₂²×C₇₃	1	2	yes	complemented
603	#386	C₂²×C₇₃	1	2	yes	complemented
604	#386	C₂²×C₇₃	1	2	yes	complemented
605	#386	C₂²×C₇₃	1	2	yes	complemented
606	#385	C₂²×C₇₃	1	2	yes	—
607	#385	C₂²×C₇₃	1	2	yes	—
608	#385	C₂²×C₇₃	1	2	yes	complemented
609	#385	C₂²×C₇₃	1	2	yes	complemented
610	#385	C₂²×C₇₃	1	2	yes	complemented
611	#381	C₂²×C₇₃	1	2	yes	complemented
612	#379	C₂²×C₇₃	1	1	yes	characteristic
613	#379	C₂²×C₇₃	1	2	yes	—
614	C₄×C₄⋊C₄	C₂²×C₇₃	1	2	yes	complemented
615	C₄×C₄⋊C₄	C₂²×C₇₃	1	2	yes	complemented
616	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
617	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
618	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
619	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
620	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
621	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
622	C₂×#95	C₂²×C₇₃	1	2	yes	—
623	C₂⁵	C₂³×C₇₃	1	1	yes	characteristic
624	C₂⁵	C₂³×C₇₃	1	1	yes	characteristic
625	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
626	C₂²×D₄	—	2	4	no	—
627	C₂²×D₄	—	4	2	no	—
628	C₂²×D₄	—	4	2	no	—
629	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
630	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
631	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
632	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
633	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
634	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
635	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
636	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
637	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
638	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
639	C₂³×C₄	—	4	4	no	—
640	C₂³×C₄	—	4	2	no	—
641	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
642	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
643	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
644	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
645	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
646	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
647	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
648	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
649	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
650	#127	—	2	4	no	—
651	#127	—	4	2	no	—
652	#124	—	4	4	no	—
653	#124	—	4	4	no	—
654	#123	—	2	4	no	—
655	#123	—	4	2	no	—
656	C₂²⋊Q₈	—	2	8	no	—
657	#121	—	4	2	no	—
658	#120	—	2	8	no	—
659	#120	—	2	8	no	—
660	C₄×D₄	—	4	4	no	—
661	C₄×D₄	—	4	4	no	—
662	C₄×D₄	—	4	4	no	—
663	C₄×D₄	—	4	4	no	—
664	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
666	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
667	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
668	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
669	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
670	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
671	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
673	C₂×C₂²⋊C₄	—	4	4	no	—
674	C₂×C₂²⋊C₄	—	4	2	no	—
675	C₂×C₂²⋊C₄	—	4	2	no	—
676	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
687	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
688	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
695	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
705	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
706	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
707	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
708	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
709	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
710	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
711	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
712	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
713	#95	C₂³×C₇₃	1	2	yes	—
714	#95	C₂³×C₇₃	1	2	yes	—
715	#95	C₂³×C₇₃	1	2	yes	—
716	#95	C₂³×C₇₃	1	2	yes	—
717	#95	C₂³×C₇₃	1	2	yes	—
718	#95	C₂³×C₇₃	1	2	yes	—
719	#95	C₂³×C₇₃	1	2	yes	—
720	#95	C₂³×C₇₃	1	2	yes	—
721	#95	C₂³×C₇₃	1	2	yes	—
722	#95	C₂³×C₇₃	1	2	yes	—
723	#95	C₂³×C₇₃	1	2	yes	—
724	#95	C₂³×C₇₃	1	2	yes	—
725	#95	C₂³×C₇₃	1	2	yes	—
726	#95	C₂³×C₇₃	1	2	yes	—
727	#95	C₂³×C₇₃	1	2	yes	—
728	#95	C₂³×C₇₃	1	2	yes	—
729	#95	C₂³×C₇₃	1	2	yes	—
730	#95	C₂³×C₇₃	1	2	yes	—
731	#95	C₂³×C₇₃	1	2	yes	—
732	C₂⁴	—	2	2	no	—
733	C₂⁴	—	2	2	no	—
734	C₂⁴	—	2	2	no	—
735	C₂⁴	—	2	4	no	—
736	C₂⁴	—	2	2	no	—
737	C₂⁴	—	2	4	no	—
738	C₂⁴	—	2	2	no	—
739	C₂⁴	—	4	2	no	—
740	C₂⁴	—	4	2	no	—
741	C₂⁴	—	4	1	no	—
742	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
743	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
744	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
745	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
746	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
747	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
748	C₂×Q₈	—	2	4	no	—
749	C₂×Q₈	—	4	2	no	—
750	C₂×Q₈	—	4	2	no	—
751	C₂×D₄	—	2	4	no	—
752	C₂×D₄	—	2	4	no	—
753	C₂×D₄	—	2	4	no	—
754	C₂×D₄	—	2	4	no	—
755	C₂×D₄	—	2	2	no	—
756	C₂×D₄	—	2	2	no	—
757	C₂×D₄	—	2	4	no	—
758	C₂×D₄	—	2	2	no	—
759	C₂×D₄	—	2	4	no	—
760	C₂×D₄	—	2	2	no	—
761	C₂×D₄	—	2	4	no	—
762	C₂×D₄	—	2	4	no	—
763	C₂×D₄	—	2	4	no	—
764	C₂×D₄	—	2	2	no	—
765	C₂×D₄	—	2	4	no	—
766	C₂×D₄	—	2	2	no	—
767	C₂×D₄	—	4	2	no	—
768	C₂×D₄	—	4	2	no	—
769	C₂×D₄	—	4	2	no	—
770	C₂×D₄	—	4	1	no	—
771	C₂×D₄	—	4	1	no	—
772	C₂×D₄	—	4	1	no	—
773	C₂×D₄	—	4	1	no	—
774	C₂×D₄	—	4	1	no	—
775	C₂×D₄	—	4	1	no	—
776	C₂×D₄	—	4	1	no	—
777	C₂×D₄	—	4	2	no	—
778	C₂×D₄	—	4	2	no	—
779	C₂×D₄	—	4	1	no	—
780	C₂×D₄	—	4	16	no	—
781	C₂×D₄	#41×C₇₃	1	4	yes	—
782	C₂²×C₄	—	2	4	no	—
783	C₂²×C₄	—	2	2	no	—
784	C₂²×C₄	—	2	4	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	2	no	—
787	C₂²×C₄	—	2	4	no	—
788	C₂²×C₄	—	2	4	no	—
789	C₂²×C₄	—	2	4	no	—
790	C₂²×C₄	—	2	4	no	—
791	C₂²×C₄	—	4	1	no	—
792	C₂²×C₄	—	4	2	no	—
793	C₂²×C₄	—	4	2	no	—
794	C₂²×C₄	—	4	2	no	—
795	C₂²×C₄	—	4	2	no	—
796	C₂²×C₄	—	4	1	no	—
797	C₂²×C₄	—	4	1	no	—
798	C₂²×C₄	—	4	1	no	—
799	C₂²×C₄	—	4	2	no	—
800	C₂²×C₄	—	4	2	no	—
801	C₂²×C₄	—	4	1	no	—
802	C₂²×C₄	—	4	2	no	—
803	C₂²×C₄	—	4	2	no	—
804	C₂²×C₄	—	4	2	no	—
805	C₂²×C₄	—	4	1	no	—
806	C₂²×C₄	—	4	16	no	—
807	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
808	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
809	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
810	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
811	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
812	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
813	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
814	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
815	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
816	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
817	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
818	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
819	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
820	C₄⋊C₄	—	2	4	no	—
821	C₄⋊C₄	—	2	4	no	—
822	C₄⋊C₄	—	2	4	no	—
823	C₄⋊C₄	—	2	4	no	—
824	C₄⋊C₄	—	2	4	no	—
825	C₄⋊C₄	—	4	2	no	—
826	C₄⋊C₄	—	4	2	no	—
827	C₄⋊C₄	—	4	1	no	—
828	C₄⋊C₄	—	4	2	no	—
829	C₂²⋊C₄	—	2	4	no	—
830	C₂²⋊C₄	—	2	2	no	—
831	C₂²⋊C₄	—	2	4	no	—
832	C₂²⋊C₄	—	2	4	no	—
833	C₂²⋊C₄	—	2	4	no	—
834	C₂²⋊C₄	—	2	4	no	—
835	C₂²⋊C₄	—	2	4	no	—
836	C₂²⋊C₄	—	2	4	no	—
837	C₂²⋊C₄	—	2	4	no	—
838	C₂²⋊C₄	—	2	4	no	—
839	C₂²⋊C₄	—	2	4	no	—
840	C₂²⋊C₄	—	2	4	no	—
841	C₂²⋊C₄	—	2	4	no	—
842	C₂²⋊C₄	—	4	1	no	—
843	C₂²⋊C₄	—	4	2	no	—
844	C₂²⋊C₄	—	4	2	no	—
845	C₂²⋊C₄	—	4	1	no	—
846	C₂²⋊C₄	—	4	2	no	—
847	C₂²⋊C₄	—	4	2	no	—
848	C₂²⋊C₄	—	4	2	no	—
849	C₂²⋊C₄	—	4	2	no	—
850	C₂²⋊C₄	—	4	2	no	—
851	C₂²⋊C₄	—	4	2	no	—
852	C₂²⋊C₄	—	4	2	no	—
853	C₂²⋊C₄	—	4	1	no	—
854	C₂²⋊C₄	—	4	2	no	—
855	C₂²⋊C₄	—	4	2	no	—
856	C₂²⋊C₄	—	4	2	no	—
857	C₂²⋊C₄	—	4	2	no	—
858	C₂²⋊C₄	#41×C₇₃	1	8	yes	—
859	C₄²	—	2	2	no	—
860	C₄²	—	2	4	no	—
861	C₄²	—	4	2	no	—
862	C₄²	—	4	2	no	—
863	C₄²	—	4	2	no	—
864	C₄²	—	4	2	no	—
865	C₄²	—	4	1	no	—
866	C₂³	—	2	1	no	—
867	C₂³	—	2	2	no	—
868	C₂³	—	2	1	no	—
869	C₂³	—	2	8	no	—
870	C₂³	—	2	2	no	—
871	C₂³	—	2	2	no	—
872	C₂³	—	2	2	no	—
873	C₂³	—	2	1	no	—
874	C₂³	—	2	2	no	—
875	C₂³	—	2	1	no	—
876	C₂³	—	2	2	no	—
877	C₂³	—	2	2	no	—
878	C₂³	—	2	1	no	—
879	C₂³	—	2	1	no	—
880	C₂³	—	2	1	no	—
881	C₂³	—	2	1	no	—
882	C₂³	—	2	2	no	—
883	C₂³	—	2	2	no	—
884	C₂³	—	2	2	no	—
885	C₂³	—	2	2	no	—
886	C₂³	—	2	1	no	—
887	C₂³	—	2	2	no	—
888	C₂³	—	2	2	no	—
889	C₂³	—	2	2	no	—
890	C₂³	—	2	2	no	—
891	C₂³	—	2	2	no	—
892	C₂³	—	2	1	no	—
893	C₂³	—	2	1	no	—
894	C₂³	—	4	8	no	—
895	C₂³	—	4	8	no	—
896	C₂³	—	4	4	no	—
897	C₂³	—	4	8	no	—
898	C₂³	—	4	4	no	—
899	C₂³	—	4	4	no	—
900	C₂³	—	4	4	no	—
901	C₂³	—	8	4	no	—
902	C₂³	—	8	2	no	—
903	C₂³	C₂×#41×C₇₃	1	2	yes	—
904	C₂³	C₂×#41×C₇₃	1	2	yes	—
905	C₂³	C₂×#41×C₇₃	1	4	yes	—
906	C₂³	H(5,𝔽₂)×C₇₃	1	2	yes	—
907	C₂³	H(5,𝔽₂)×C₇₃	1	2	yes	—
908	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
909	Q₈	—	8	4	no	—
910	D₄	—	4	4	no	—
911	D₄	—	4	4	no	—
912	D₄	—	4	8	no	—
913	D₄	—	4	8	no	—
914	D₄	—	4	8	no	—
915	D₄	—	4	4	no	—
916	D₄	—	4	4	no	—
917	D₄	—	4	8	no	—
918	D₄	—	8	2	no	—
919	D₄	—	8	4	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	2	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	2	no	—
930	C₂×C₄	—	2	2	no	—
931	C₂×C₄	—	2	2	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	2	no	—
935	C₂×C₄	—	2	2	no	—
936	C₂×C₄	—	2	1	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	2	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	1	no	—
952	C₂×C₄	—	2	2	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	4	4	no	—
956	C₂×C₄	—	4	8	no	—
957	C₂×C₄	—	4	4	no	—
958	C₂×C₄	—	4	8	no	—
959	C₂×C₄	—	4	4	no	—
960	C₂×C₄	—	8	4	no	—
961	C₂×C₄	—	8	2	no	—
962	C₂×C₄	—	8	4	no	—
963	C₂×C₄	—	8	2	no	—
964	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
965	C₂×C₄	C₂×#41×C₇₃	1	4	yes	—
966	C₂×C₄	C₂×#41×C₇₃	1	4	yes	—
967	C₂×C₄	H(5,𝔽₂)×C₇₃	1	4	yes	—
968	C₂²	—	2	4	no	—
969	C₂²	—	2	2	no	—
970	C₂²	—	2	4	no	—
971	C₂²	—	2	2	no	—
972	C₂²	—	2	4	no	—
973	C₂²	—	2	4	no	—
974	C₂²	—	2	2	no	—
975	C₂²	—	2	2	no	—
976	C₂²	—	2	2	no	—
977	C₂²	—	2	4	no	—
978	C₂²	—	4	16	no	—
979	C₂²	—	4	1	no	—
980	C₂²	—	4	1	no	—
981	C₂²	—	4	1	no	—
982	C₂²	—	4	2	no	—
983	C₂²	—	4	2	no	—
984	C₂²	—	4	2	no	—
985	C₂²	—	4	1	no	—
986	C₂²	—	4	1	no	—
987	C₂²	—	4	1	no	—
988	C₂²	—	4	2	no	—
989	C₂²	—	4	1	no	—
990	C₂²	—	4	2	no	—
991	C₂²	—	4	2	no	—
992	C₂²	—	4	2	no	—
993	C₂²	—	4	1	no	—
994	C₂²	—	4	2	no	—
995	C₂²	—	4	2	no	—
996	C₂²	—	4	2	no	—
997	C₂²	—	4	2	no	—
998	C₂²	—	4	2	no	—
999	C₂²	—	4	1	no	—
1000	C₂²	—	8	8	no	—
1001	C₂²	#559×C₇₃	1	4	yes	—
1002	C₂²	C₂²×#41×C₇₃	1	2	yes	—
1003	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1004	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1005	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	2	yes	—
1006	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1007	C₄	—	2	4	no	—
1008	C₄	—	2	2	no	—
1009	C₄	—	2	4	no	—
1010	C₄	—	2	4	no	—
1011	C₄	—	4	2	no	—
1012	C₄	—	4	2	no	—
1013	C₄	—	4	1	no	—
1014	C₄	—	4	2	no	—
1015	C₄	—	4	2	no	—
1016	C₄	—	4	2	no	—
1017	C₄	—	4	2	no	—
1018	C₄	—	4	2	no	—
1019	C₄	—	4	2	no	—
1020	C₂	—	2	4	no	—
1021	C₂	—	4	2	no	—
1022	C₂	—	4	2	no	—
1023	C₂	—	4	2	no	—
1024	C₂	—	8	1	no	—
1025	C₂	—	8	2	no	—
1026	C₂	C₂×#559×C₇₃	1	1	yes	characteristic
1027	C₂	C₇₃×#3481	1	2	yes	—
1028	C₂	C₇₃×#3490	1	1	yes	characteristic
1029	C₂	C₇₃×#3519	1	2	yes	—
1030	C₂	C₇₃×#3532	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₃
prime radical	C₇₃×#2433	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. C₇₃×#2804	C₂	semidirect
2. C₇₃×#2797	C₂	semidirect
3. C₇₃×#2709	C₂	semidirect
4. C₇₃×#2600	C₂	semidirect
5. C₇₃×#2597	C₂	semidirect
6. C₇₃×#2557	C₂	semidirect
7. C₇₃×#2544	C₂	semidirect
8. C₇₃×#2472	C₂	semidirect
9. C₇₃×#2472	C₂	semidirect
10. C₇₃×#2459	C₂	semidirect
11. C₇₃×#2444	C₂	semidirect
13. C₇₃×#2405	C₂	semidirect
14. C₇₃×#2374	C₂	semidirect
15. C₇₃×#2368	C₂	semidirect
16. C₇₃×#2366	C₂	semidirect
17. C₇₃×#2358	C₂	semidirect
18. C₄×#120×C₇₃	C₂	semidirect
19. C₂×#386×C₇₃	C₂	semidirect
24. C₂×#124×C₇₃	C₂²	semidirect
25. C₂×#124×C₇₃	C₂²	semidirect
33. C₂×C₄×D₄×C₇₃	C₂²	semidirect
34. C₂×C₄×D₄×C₇₃	C₂²	semidirect
35. C₂×C₄×D₄×C₇₃	C₂²	semidirect
39. #400×C₇₃	C₂²	semidirect
40. #397×C₇₃	C₂²	semidirect
41. #397×C₇₃	C₂²	semidirect
42. #397×C₇₃	C₂²	semidirect
43. #397×C₇₃	C₂²	semidirect
46. #394×C₇₃	C₂²	semidirect
47. #394×C₇₃	C₂²	semidirect
48. #394×C₇₃	C₂²	semidirect
49. #394×C₇₃	C₂²	semidirect
50. #394×C₇₃	C₂²	semidirect
51. #393×C₇₃	C₂²	semidirect
52. #393×C₇₃	C₂²	semidirect
55. #391×C₇₃	C₂²	semidirect
56. #391×C₇₃	C₂²	semidirect
59. #390×C₇₃	C₂²	semidirect
60. #390×C₇₃	C₂²	semidirect
61. #390×C₇₃	C₂²	semidirect
62. #388×C₇₃	C₂²	semidirect
63. #388×C₇₃	C₂²	semidirect
64. #388×C₇₃	C₂²	semidirect
65. #388×C₇₃	C₂²	semidirect
66. #388×C₇₃	C₂²	semidirect
67. #388×C₇₃	C₂²	semidirect
68. #388×C₇₃	C₂²	semidirect
69. #387×C₇₃	C₂²	semidirect
70. #387×C₇₃	C₂²	semidirect
71. #387×C₇₃	C₂²	semidirect
72. #387×C₇₃	C₂²	semidirect
73. #387×C₇₃	C₂²	semidirect
85. #386×C₇₃	C₂²	semidirect
86. #386×C₇₃	C₂²	semidirect
87. #386×C₇₃	C₂²	semidirect
88. #386×C₇₃	C₂²	semidirect
89. #386×C₇₃	C₂²	semidirect
92. #385×C₇₃	C₂²	semidirect
93. #385×C₇₃	C₂²	semidirect
94. #385×C₇₃	C₂²	semidirect
95. #381×C₇₃	C₂²	semidirect
98. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
99. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
103. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
104. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
105. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
504. #59623	C₇₃	direct (N × H)
516. #2804	C₂×C₇₃	semidirect
517. #2797	C₂×C₇₃	semidirect
518. #2709	C₂×C₇₃	semidirect
519. #2600	C₂×C₇₃	semidirect
520. #2597	C₂×C₇₃	semidirect
521. #2557	C₂×C₇₃	semidirect
522. #2544	C₂×C₇₃	semidirect
523. #2472	C₂×C₇₃	semidirect
524. #2472	C₂×C₇₃	semidirect
525. #2459	C₂×C₇₃	semidirect
526. #2444	C₂×C₇₃	semidirect
528. #2405	C₂×C₇₃	semidirect
529. #2374	C₂×C₇₃	semidirect
530. #2368	C₂×C₇₃	semidirect
531. #2366	C₂×C₇₃	semidirect
532. #2358	C₂×C₇₃	semidirect
533. C₄×#120	C₂×C₇₃	semidirect
534. C₂×#386	C₂×C₇₃	semidirect
535. C₇₃	#59623	direct (N × H)
540. C₂×#124	C₂²×C₇₃	semidirect
541. C₂×#124	C₂²×C₇₃	semidirect
549. C₂×C₄×D₄	C₂²×C₇₃	semidirect
550. C₂×C₄×D₄	C₂²×C₇₃	semidirect
551. C₂×C₄×D₄	C₂²×C₇₃	semidirect
555. #400	C₂²×C₇₃	semidirect
556. #397	C₂²×C₇₃	semidirect
557. #397	C₂²×C₇₃	semidirect
558. #397	C₂²×C₇₃	semidirect
559. #397	C₂²×C₇₃	semidirect
562. #394	C₂²×C₇₃	semidirect
563. #394	C₂²×C₇₃	semidirect
564. #394	C₂²×C₇₃	semidirect
565. #394	C₂²×C₇₃	semidirect
566. #394	C₂²×C₇₃	semidirect
567. #393	C₂²×C₇₃	semidirect
568. #393	C₂²×C₇₃	semidirect
571. #391	C₂²×C₇₃	semidirect
572. #391	C₂²×C₇₃	semidirect
575. #390	C₂²×C₇₃	semidirect
576. #390	C₂²×C₇₃	semidirect
577. #390	C₂²×C₇₃	semidirect
578. #388	C₂²×C₇₃	semidirect
579. #388	C₂²×C₇₃	semidirect
580. #388	C₂²×C₇₃	semidirect
581. #388	C₂²×C₇₃	semidirect
582. #388	C₂²×C₇₃	semidirect
583. #388	C₂²×C₇₃	semidirect
584. #388	C₂²×C₇₃	semidirect
585. #387	C₂²×C₇₃	semidirect
586. #387	C₂²×C₇₃	semidirect
587. #387	C₂²×C₇₃	semidirect
588. #387	C₂²×C₇₃	semidirect
589. #387	C₂²×C₇₃	semidirect
601. #386	C₂²×C₇₃	semidirect
602. #386	C₂²×C₇₃	semidirect
603. #386	C₂²×C₇₃	semidirect
604. #386	C₂²×C₇₃	semidirect
605. #386	C₂²×C₇₃	semidirect
608. #385	C₂²×C₇₃	semidirect
609. #385	C₂²×C₇₃	semidirect
610. #385	C₂²×C₇₃	semidirect
611. #381	C₂²×C₇₃	semidirect
614. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
615. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
619. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
620. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
621. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₇₃×#2804	2
C₇₃×#2797	2
C₇₃×#2709	2
C₇₃×#2600	2
C₇₃×#2597	2
C₇₃×#2557	2
C₇₃×#2544	2
C₇₃×#2472	2
C₇₃×#2459	2
C₇₃×#2444	2
C₇₃×#2433	2
C₇₃×#2405	2
C₇₃×#2374	2
C₇₃×#2368	2
C₇₃×#2366	2
C₇₃×#2358	2
C₄×#120×C₇₃	2
C₂×#386×C₇₃	2
#59623	73

Subgroups — C73×#59623 #32969027

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#59623 #32969027