Subgroups — C₇₃×#59831 #32969235

Order 18688.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#554×C₇₃	C₂	1	2	yes	maximal, complemented
2	C₇₃×#2729	C₂	1	2	yes	maximal, complemented
3	C₇₃×#2704	C₂	1	2	yes	maximal, complemented
4	C₇₃×#2579	C₂	1	2	yes	maximal, complemented
5	C₇₃×#2546	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₃×#2538	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#2506	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#2506	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#2473	C₂	1	2	yes	maximal, complemented
10	C₇₃×#2465	C₂	1	2	yes	maximal, complemented
11	C₇₃×#2452	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₃×#2452	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#2450	C₂	1	2	yes	maximal, complemented
14	C₇₃×#2450	C₂	1	2	yes	maximal, complemented
15	C₇₃×#2440	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇₃×#2440	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#2365	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇₃×#2361	C₂	1	1	yes	maximal, characteristic
19	C₇₃×#2361	C₂	1	1	yes	maximal, characteristic
20	D₄×C₄⋊C₄×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₂²⋊Q₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#121×C₇₃	C₂	1	1	yes	maximal, characteristic
23	C₂×#389×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	#554×C₇₃	—	2	16	no	—
25	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
26	C₂×C₄⋊Q₈×C₇₃	C₂²	1	2	yes	—
27	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
28	C₂×#125×C₇₃	C₂²	1	2	yes	—
29	C₂×#125×C₇₃	C₂²	1	2	yes	—
30	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
31	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
32	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
33	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
34	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
35	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
36	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₇₃	C₂²	1	2	yes	—
38	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
40	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
41	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
42	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
45	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
46	C₂²×C₄⋊C₄×C₇₃	C₂²	1	2	yes	—
47	C₂²×C₄⋊C₄×C₇₃	C₂²	1	2	yes	—
48	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
49	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
50	#400×C₇₃	C₂²	1	2	yes	—
51	#400×C₇₃	C₂²	1	2	yes	—
52	#398×C₇₃	C₂²	1	2	yes	—
53	#398×C₇₃	C₂²	1	2	yes	—
54	#398×C₇₃	C₂²	1	2	yes	—
55	#398×C₇₃	C₂²	1	2	yes	—
56	#398×C₇₃	C₂²	1	2	yes	—
57	#398×C₇₃	C₂²	1	2	yes	—
58	#396×C₇₃	C₂²	1	2	yes	—
59	#396×C₇₃	C₂²	1	2	yes	—
60	#396×C₇₃	C₂²	1	2	yes	—
61	#396×C₇₃	C₂²	1	2	yes	—
62	#395×C₇₃	C₂²	1	2	yes	—
63	#395×C₇₃	C₂²	1	2	yes	—
64	#393×C₇₃	C₂²	1	2	yes	—
65	#393×C₇₃	C₂²	1	2	yes	—
66	#391×C₇₃	C₂²	1	2	yes	—
67	#391×C₇₃	C₂²	1	2	yes	—
68	#391×C₇₃	C₂²	1	1	yes	characteristic
69	#390×C₇₃	C₂²	1	1	yes	characteristic
70	#390×C₇₃	C₂²	1	1	yes	characteristic
71	#390×C₇₃	C₂²	1	1	yes	characteristic
72	#389×C₇₃	C₂²	1	1	yes	characteristic
73	#389×C₇₃	C₂²	1	1	yes	characteristic
74	#389×C₇₃	C₂²	1	1	yes	characteristic
75	#389×C₇₃	C₂²	1	1	yes	characteristic
76	#389×C₇₃	C₂²	1	1	yes	characteristic
77	#389×C₇₃	C₂²	1	2	yes	—
78	#389×C₇₃	C₂²	1	1	yes	characteristic
79	#389×C₇₃	C₂²	1	1	yes	characteristic
80	#389×C₇₃	C₂²	1	2	yes	—
81	#389×C₇₃	C₂²	1	1	yes	characteristic
82	#389×C₇₃	C₂²	1	1	yes	characteristic
83	#389×C₇₃	C₂²	1	1	yes	characteristic
84	#389×C₇₃	C₂²	1	1	yes	characteristic
85	#389×C₇₃	C₂²	1	1	yes	characteristic
86	#388×C₇₃	C₂²	1	2	yes	—
87	#388×C₇₃	C₂²	1	2	yes	—
88	#388×C₇₃	C₂²	1	2	yes	—
89	#387×C₇₃	C₂²	1	2	yes	—
90	#387×C₇₃	C₂²	1	2	yes	—
91	#387×C₇₃	C₂²	1	1	yes	characteristic
92	#387×C₇₃	C₂²	1	2	yes	—
93	#387×C₇₃	C₂²	1	1	yes	characteristic
94	#387×C₇₃	C₂²	1	2	yes	—
95	#386×C₇₃	C₂²	1	2	yes	—
96	#386×C₇₃	C₂²	1	2	yes	—
97	#386×C₇₃	C₂²	1	2	yes	—
98	#385×C₇₃	C₂²	1	2	yes	—
99	#385×C₇₃	C₂²	1	2	yes	—
100	#385×C₇₃	C₂²	1	2	yes	—
101	#385×C₇₃	C₂²	1	1	yes	characteristic
102	#385×C₇₃	C₂²	1	1	yes	characteristic
103	#385×C₇₃	C₂²	1	2	yes	—
104	#385×C₇₃	C₂²	1	2	yes	—
105	#385×C₇₃	C₂²	1	2	yes	—
106	#385×C₇₃	C₂²	1	2	yes	—
107	#385×C₇₃	C₂²	1	2	yes	—
108	#384×C₇₃	C₂²	1	1	yes	characteristic
109	#384×C₇₃	C₂²	1	1	yes	characteristic
110	#380×C₇₃	C₂²	1	1	yes	characteristic
111	#380×C₇₃	C₂²	1	2	yes	—
112	#380×C₇₃	C₂²	1	2	yes	—
113	#380×C₇₃	C₂²	1	1	yes	characteristic
114	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
115	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
118	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
119	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
120	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
121	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
122	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
123	C₂×#95×C₇₃	C₂²	1	2	yes	—
124	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
125	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
126	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
128	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
130	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
131	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
133	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
134	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
136	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
137	C₄⋊Q₈×C₇₃	—	2	8	no	—
138	C₄⋊Q₈×C₇₃	—	2	4	no	—
139	C₄⋊Q₈×C₇₃	—	4	2	no	—
140	#125×C₇₃	—	2	8	no	—
141	#125×C₇₃	—	2	8	no	—
142	C₂²⋊Q₈×C₇₃	—	2	8	no	—
143	C₂²⋊Q₈×C₇₃	—	2	8	no	—
144	C₂²⋊Q₈×C₇₃	—	2	8	no	—
145	C₂²⋊Q₈×C₇₃	—	2	8	no	—
146	C₂²⋊Q₈×C₇₃	—	2	8	no	—
147	C₂²⋊Q₈×C₇₃	D₄	1	8	yes	complemented
148	#121×C₇₃	Q₈	1	8	yes	complemented
149	C₄×Q₈×C₇₃	—	2	8	no	—
150	C₄×Q₈×C₇₃	—	4	2	no	—
151	C₄×D₄×C₇₃	—	2	8	no	—
152	C₄×D₄×C₇₃	—	2	4	no	—
153	C₄×D₄×C₇₃	—	2	8	no	—
154	C₄×D₄×C₇₃	—	2	8	no	—
155	C₄×D₄×C₇₃	—	4	2	no	—
156	C₄×D₄×C₇₃	—	4	2	no	—
157	C₂×C₄⋊C₄×C₇₃	—	2	8	no	—
158	C₂×C₄⋊C₄×C₇₃	—	2	8	no	—
159	C₂×C₄⋊C₄×C₇₃	—	2	4	no	—
160	C₂×C₄⋊C₄×C₇₃	—	4	2	no	—
161	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
162	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
163	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
164	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
165	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
166	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
167	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
168	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
169	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
170	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
172	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
173	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
174	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
175	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
176	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
178	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
179	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
180	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
182	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
183	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
186	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
187	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
188	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
189	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
191	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
192	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
194	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
195	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
203	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
204	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
211	C₂×C₄²×C₇₃	—	4	2	no	—
212	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
217	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
219	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
220	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
223	#95×C₇₃	C₂³	1	2	yes	—
224	#95×C₇₃	C₂³	1	1	yes	characteristic
225	#95×C₇₃	C₂³	1	1	yes	characteristic
226	#95×C₇₃	C₂³	1	2	yes	—
227	#95×C₇₃	C₂³	1	1	yes	characteristic
228	#95×C₇₃	C₂³	1	1	yes	characteristic
229	#95×C₇₃	C₂³	1	1	yes	characteristic
230	#95×C₇₃	C₂³	1	1	yes	characteristic
231	#95×C₇₃	C₂³	1	1	yes	characteristic
232	#95×C₇₃	C₂³	1	1	yes	characteristic
233	#95×C₇₃	C₂³	1	2	yes	—
234	#95×C₇₃	C₂³	1	2	yes	—
235	#95×C₇₃	C₂³	1	1	yes	characteristic
236	#95×C₇₃	C₂³	1	1	yes	characteristic
237	#95×C₇₃	C₂³	1	2	yes	—
238	#95×C₇₃	C₂³	1	2	yes	—
239	#95×C₇₃	C₂³	1	2	yes	—
240	#95×C₇₃	C₂³	1	2	yes	—
241	#95×C₇₃	C₂³	1	2	yes	—
242	#95×C₇₃	C₂³	1	2	yes	—
243	#95×C₇₃	C₂³	1	2	yes	—
244	#95×C₇₃	C₂³	1	2	yes	—
245	#95×C₇₃	C₂³	1	2	yes	—
246	#95×C₇₃	C₂³	1	2	yes	—
247	#95×C₇₃	C₂³	1	2	yes	—
248	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
249	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
250	C₂×Q₈×C₇₃	—	2	4	no	—
251	C₂×Q₈×C₇₃	—	2	4	no	—
252	C₂×Q₈×C₇₃	—	2	4	no	—
253	C₂×Q₈×C₇₃	—	4	1	no	—
254	C₂×Q₈×C₇₃	—	4	1	no	—
255	C₂×Q₈×C₇₃	—	4	2	no	—
256	C₂×Q₈×C₇₃	—	4	2	no	—
257	C₂×Q₈×C₇₃	—	4	2	no	—
258	C₂×Q₈×C₇₃	C₂×D₄	1	4	yes	—
259	C₂×D₄×C₇₃	—	2	4	no	—
260	C₂×D₄×C₇₃	—	2	4	no	—
261	C₂×D₄×C₇₃	—	2	2	no	—
262	C₂×D₄×C₇₃	—	2	2	no	—
263	C₂×D₄×C₇₃	C₂×Q₈	1	8	yes	—
264	C₂×D₄×C₇₃	C₂×Q₈	1	4	yes	—
265	C₂²×C₄×C₇₃	—	2	2	no	—
266	C₂²×C₄×C₇₃	—	2	2	no	—
267	C₂²×C₄×C₇₃	—	2	4	no	—
268	C₂²×C₄×C₇₃	—	2	2	no	—
269	C₂²×C₄×C₇₃	—	2	4	no	—
270	C₂²×C₄×C₇₃	—	2	4	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	1	no	—
277	C₂²×C₄×C₇₃	—	4	2	no	—
278	C₂²×C₄×C₇₃	—	4	1	no	—
279	C₂²×C₄×C₇₃	—	4	2	no	—
280	C₂²×C₄×C₇₃	—	4	1	no	—
281	C₂²×C₄×C₇₃	—	4	2	no	—
282	C₂²×C₄×C₇₃	—	4	2	no	—
283	C₂²×C₄×C₇₃	—	4	2	no	—
284	C₂²×C₄×C₇₃	—	4	2	no	—
285	C₂²×C₄×C₇₃	—	4	2	no	—
286	C₂²×C₄×C₇₃	—	4	2	no	—
287	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
288	C₂²×C₄×C₇₃	C₂×Q₈	1	4	yes	—
289	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
291	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
293	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
294	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
302	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
307	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
309	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
310	C₄⋊C₄×C₇₃	—	2	4	no	—
311	C₄⋊C₄×C₇₃	—	2	4	no	—
312	C₄⋊C₄×C₇₃	—	2	4	no	—
313	C₄⋊C₄×C₇₃	—	2	4	no	—
314	C₄⋊C₄×C₇₃	—	2	4	no	—
315	C₄⋊C₄×C₇₃	—	2	4	no	—
316	C₄⋊C₄×C₇₃	—	2	4	no	—
317	C₄⋊C₄×C₇₃	—	2	4	no	—
318	C₄⋊C₄×C₇₃	—	2	4	no	—
319	C₄⋊C₄×C₇₃	—	2	4	no	—
320	C₄⋊C₄×C₇₃	—	2	4	no	—
321	C₄⋊C₄×C₇₃	—	2	4	no	—
322	C₄⋊C₄×C₇₃	—	2	4	no	—
323	C₄⋊C₄×C₇₃	—	2	4	no	—
324	C₄⋊C₄×C₇₃	—	2	2	no	—
325	C₄⋊C₄×C₇₃	—	2	4	no	—
326	C₄⋊C₄×C₇₃	—	2	2	no	—
327	C₄⋊C₄×C₇₃	—	2	2	no	—
328	C₄⋊C₄×C₇₃	—	2	2	no	—
329	C₄⋊C₄×C₇₃	—	2	2	no	—
330	C₄⋊C₄×C₇₃	—	4	2	no	—
331	C₄⋊C₄×C₇₃	—	4	1	no	—
332	C₄⋊C₄×C₇₃	—	4	1	no	—
333	C₄⋊C₄×C₇₃	—	4	1	no	—
334	C₄⋊C₄×C₇₃	—	4	2	no	—
335	C₄⋊C₄×C₇₃	—	4	2	no	—
336	C₄⋊C₄×C₇₃	—	4	1	no	—
337	C₄⋊C₄×C₇₃	—	4	1	no	—
338	C₄⋊C₄×C₇₃	—	4	1	no	—
339	C₄⋊C₄×C₇₃	—	4	2	no	—
340	C₄⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
341	C₄⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
342	C₄⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
343	C₄⋊C₄×C₇₃	C₂×Q₈	1	4	yes	—
344	C₄⋊C₄×C₇₃	#41	1	4	yes	—
345	C₂²⋊C₄×C₇₃	—	2	4	no	—
346	C₂²⋊C₄×C₇₃	—	2	2	no	—
347	C₂²⋊C₄×C₇₃	—	2	2	no	—
348	C₂²⋊C₄×C₇₃	—	2	4	no	—
349	C₂²⋊C₄×C₇₃	—	2	4	no	—
350	C₂²⋊C₄×C₇₃	—	2	4	no	—
351	C₂²⋊C₄×C₇₃	—	2	4	no	—
352	C₂²⋊C₄×C₇₃	—	4	2	no	—
353	C₂²⋊C₄×C₇₃	—	4	2	no	—
354	C₂²⋊C₄×C₇₃	—	4	2	no	—
355	C₂²⋊C₄×C₇₃	—	4	2	no	—
356	C₂²⋊C₄×C₇₃	—	4	2	no	—
357	C₂²⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
358	C₂²⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
359	C₂²⋊C₄×C₇₃	C₂×Q₈	1	8	yes	—
360	C₄²×C₇₃	—	2	4	no	—
361	C₄²×C₇₃	—	2	4	no	—
362	C₄²×C₇₃	—	2	4	no	—
363	C₄²×C₇₃	—	2	2	no	—
364	C₄²×C₇₃	—	2	2	no	—
365	C₄²×C₇₃	—	2	2	no	—
366	C₄²×C₇₃	—	2	2	no	—
367	C₄²×C₇₃	—	2	2	no	—
368	C₄²×C₇₃	—	2	2	no	—
369	C₄²×C₇₃	—	4	1	no	—
370	C₄²×C₇₃	—	4	1	no	—
371	C₂³×C₇₃	—	2	1	no	—
372	C₂³×C₇₃	—	2	1	no	—
373	C₂³×C₇₃	—	2	1	no	—
374	C₂³×C₇₃	—	2	1	no	—
375	C₂³×C₇₃	—	2	2	no	—
376	C₂³×C₇₃	—	2	2	no	—
377	C₂³×C₇₃	—	2	2	no	—
378	C₂³×C₇₃	—	2	2	no	—
379	C₂³×C₇₃	—	2	2	no	—
380	C₂³×C₇₃	—	2	2	no	—
381	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
382	C₂³×C₇₃	C₂²×Q₈	1	4	yes	—
383	C₂³×C₇₃	C₂²×Q₈	1	2	yes	—
384	C₂³×C₇₃	2₋¹⁺⁴	1	2	yes	—
385	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
386	Q₈×C₇₃	—	4	4	no	—
387	Q₈×C₇₃	—	4	8	no	—
388	Q₈×C₇₃	—	8	4	no	—
389	D₄×C₇₃	—	2	16	no	—
390	D₄×C₇₃	—	2	8	no	—
391	C₂×C₄×C₇₃	—	2	2	no	—
392	C₂×C₄×C₇₃	—	2	2	no	—
393	C₂×C₄×C₇₃	—	2	1	no	—
394	C₂×C₄×C₇₃	—	2	1	no	—
395	C₂×C₄×C₇₃	—	2	1	no	—
396	C₂×C₄×C₇₃	—	2	1	no	—
397	C₂×C₄×C₇₃	—	2	1	no	—
398	C₂×C₄×C₇₃	—	2	1	no	—
399	C₂×C₄×C₇₃	—	2	1	no	—
400	C₂×C₄×C₇₃	—	2	1	no	—
401	C₂×C₄×C₇₃	—	2	2	no	—
402	C₂×C₄×C₇₃	—	2	1	no	—
403	C₂×C₄×C₇₃	—	2	1	no	—
404	C₂×C₄×C₇₃	—	2	1	no	—
405	C₂×C₄×C₇₃	—	2	1	no	—
406	C₂×C₄×C₇₃	—	2	2	no	—
407	C₂×C₄×C₇₃	—	2	1	no	—
408	C₂×C₄×C₇₃	—	2	1	no	—
409	C₂×C₄×C₇₃	—	2	8	no	—
410	C₂×C₄×C₇₃	—	2	2	no	—
411	C₂×C₄×C₇₃	—	2	2	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	1	no	—
416	C₂×C₄×C₇₃	—	2	1	no	—
417	C₂×C₄×C₇₃	—	2	2	no	—
418	C₂×C₄×C₇₃	—	2	2	no	—
419	C₂×C₄×C₇₃	—	2	1	no	—
420	C₂×C₄×C₇₃	—	2	1	no	—
421	C₂×C₄×C₇₃	—	2	1	no	—
422	C₂×C₄×C₇₃	—	2	1	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	1	no	—
427	C₂×C₄×C₇₃	—	2	1	no	—
428	C₂×C₄×C₇₃	—	2	1	no	—
429	C₂×C₄×C₇₃	—	2	1	no	—
430	C₂×C₄×C₇₃	—	2	1	no	—
431	C₂×C₄×C₇₃	—	2	1	no	—
432	C₂×C₄×C₇₃	—	2	1	no	—
433	C₂×C₄×C₇₃	—	2	1	no	—
434	C₂×C₄×C₇₃	—	2	1	no	—
435	C₂×C₄×C₇₃	—	2	2	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	—	2	1	no	—
440	C₂×C₄×C₇₃	—	2	1	no	—
441	C₂×C₄×C₇₃	—	2	2	no	—
442	C₂×C₄×C₇₃	—	2	2	no	—
443	C₂×C₄×C₇₃	—	4	4	no	—
444	C₂×C₄×C₇₃	—	4	8	no	—
445	C₂×C₄×C₇₃	—	4	8	no	—
446	C₂×C₄×C₇₃	—	4	4	no	—
447	C₂×C₄×C₇₃	—	8	4	no	—
448	C₂×C₄×C₇₃	—	8	4	no	—
449	C₂×C₄×C₇₃	—	8	4	no	—
450	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
451	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
452	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
453	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
454	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
455	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
456	C₂×C₄×C₇₃	C₂²×Q₈	1	2	yes	—
457	C₂×C₄×C₇₃	C₂²×Q₈	1	4	yes	—
458	C₂×C₄×C₇₃	C₂²×Q₈	1	2	yes	—
459	C₂×C₄×C₇₃	C₂×#41	1	4	yes	—
460	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
461	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
462	C₂²×C₇₃	—	2	2	no	—
463	C₂²×C₇₃	—	2	2	no	—
464	C₂²×C₇₃	—	2	2	no	—
465	C₂²×C₇₃	—	2	2	no	—
466	C₂²×C₇₃	—	2	2	no	—
467	C₂²×C₇₃	—	2	2	no	—
468	C₂²×C₇₃	—	2	4	no	—
469	C₂²×C₇₃	—	2	4	no	—
470	C₂²×C₇₃	—	2	4	no	—
471	C₂²×C₇₃	—	4	2	no	—
472	C₂²×C₇₃	—	4	2	no	—
473	C₂²×C₇₃	—	4	2	no	—
474	C₂²×C₇₃	—	4	2	no	—
475	C₂²×C₇₃	D₄×Q₈	1	4	yes	—
476	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
477	C₂²×C₇₃	C₂³×Q₈	1	1	yes	characteristic
478	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
479	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
480	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
481	C₂²×C₇₃	#585	1	1	yes	characteristic
482	C₂²×C₇₃	#585	1	1	yes	characteristic
483	C₄×C₇₃	—	2	4	no	—
484	C₄×C₇₃	—	2	2	no	—
485	C₄×C₇₃	—	2	4	no	—
486	C₄×C₇₃	—	2	2	no	—
487	C₄×C₇₃	—	2	2	no	—
488	C₄×C₇₃	—	2	2	no	—
489	C₄×C₇₃	—	2	2	no	—
490	C₄×C₇₃	—	2	2	no	—
491	C₄×C₇₃	—	2	2	no	—
492	C₄×C₇₃	—	4	2	no	—
493	C₄×C₇₃	—	4	2	no	—
494	C₄×C₇₃	—	4	2	no	—
495	C₄×C₇₃	—	4	2	no	—
496	C₄×C₇₃	—	4	2	no	—
497	C₄×C₇₃	—	4	1	no	—
498	C₄×C₇₃	—	4	1	no	—
499	C₄×C₇₃	—	4	1	no	—
500	C₄×C₇₃	—	4	1	no	—
501	C₄×C₇₃	—	4	1	no	—
502	C₄×C₇₃	—	4	1	no	—
503	C₄×C₇₃	#554	1	4	yes	complemented
504	#59831	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
505	C₂×C₇₃	—	2	4	no	—
506	C₂×C₇₃	—	4	4	no	—
507	C₂×C₇₃	C₂×D₄×Q₈	1	1	yes	characteristic
508	C₂×C₇₃	D₄×#41	1	1	yes	characteristic
509	C₂×C₇₃	C₂×#554	1	1	yes	characteristic
510	C₂×C₇₃	#3496	1	1	yes	characteristic
511	C₂×C₇₃	#3504	1	1	yes	characteristic
512	C₂×C₇₃	#3516	1	1	yes	characteristic
513	C₂×C₇₃	#3541	1	1	yes	characteristic
514	C₂×#554	C₂×C₇₃	1	2	yes	complemented
515	#2729	C₂×C₇₃	1	2	yes	complemented
516	#2704	C₂×C₇₃	1	2	yes	complemented
517	#2579	C₂×C₇₃	1	2	yes	complemented
518	#2546	C₂×C₇₃	1	1	yes	characteristic, complemented
519	#2538	C₂×C₇₃	1	1	yes	characteristic, complemented
520	#2506	C₂×C₇₃	1	1	yes	characteristic, complemented
521	#2506	C₂×C₇₃	1	1	yes	characteristic, complemented
522	#2473	C₂×C₇₃	1	2	yes	complemented
523	#2465	C₂×C₇₃	1	2	yes	complemented
524	#2452	C₂×C₇₃	1	1	yes	characteristic, complemented
525	#2452	C₂×C₇₃	1	1	yes	characteristic, complemented
526	#2450	C₂×C₇₃	1	2	yes	complemented
527	#2450	C₂×C₇₃	1	2	yes	complemented
528	#2440	C₂×C₇₃	1	1	yes	characteristic, complemented
529	#2440	C₂×C₇₃	1	1	yes	characteristic, complemented
530	#2365	C₂×C₇₃	1	1	yes	characteristic, complemented
531	#2361	C₂×C₇₃	1	1	yes	characteristic
532	#2361	C₂×C₇₃	1	1	yes	characteristic
533	D₄×C₄⋊C₄	C₂×C₇₃	1	1	yes	characteristic, complemented
534	C₄×C₂²⋊Q₈	C₂×C₇₃	1	1	yes	characteristic, complemented
535	C₄×#121	C₂×C₇₃	1	1	yes	characteristic
536	C₂×#389	C₂×C₇₃	1	1	yes	characteristic, complemented
537	C₇₃	#59831	1	1	yes	characteristic, direct product factor, Sylow
538	#554	—	2	16	no	—
539	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
540	C₂×C₄⋊Q₈	C₂²×C₇₃	1	2	yes	—
541	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
542	C₂×#125	C₂²×C₇₃	1	2	yes	—
543	C₂×#125	C₂²×C₇₃	1	2	yes	—
544	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
545	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
546	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
547	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
548	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
549	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
550	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
551	C₂×C₄×Q₈	C₂²×C₇₃	1	2	yes	—
552	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
553	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
554	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
555	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
556	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
557	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
558	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
559	C₂²×C₄⋊C₄	C₂²×C₇₃	1	2	yes	—
560	C₂²×C₄⋊C₄	C₂²×C₇₃	1	2	yes	—
561	C₂²×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
562	C₂²×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
563	C₂²×C₄²	C₂²×C₇₃	1	1	yes	characteristic
564	#400	C₂²×C₇₃	1	2	yes	—
565	#400	C₂²×C₇₃	1	2	yes	—
566	#398	C₂²×C₇₃	1	2	yes	—
567	#398	C₂²×C₇₃	1	2	yes	—
568	#398	C₂²×C₇₃	1	2	yes	—
569	#398	C₂²×C₇₃	1	2	yes	—
570	#398	C₂²×C₇₃	1	2	yes	—
571	#398	C₂²×C₇₃	1	2	yes	—
572	#396	C₂²×C₇₃	1	2	yes	—
573	#396	C₂²×C₇₃	1	2	yes	—
574	#396	C₂²×C₇₃	1	2	yes	—
575	#396	C₂²×C₇₃	1	2	yes	—
576	#395	C₂²×C₇₃	1	2	yes	—
577	#395	C₂²×C₇₃	1	2	yes	—
578	#393	C₂²×C₇₃	1	2	yes	—
579	#393	C₂²×C₇₃	1	2	yes	—
580	#391	C₂²×C₇₃	1	2	yes	—
581	#391	C₂²×C₇₃	1	2	yes	—
582	#391	C₂²×C₇₃	1	1	yes	characteristic
583	#390	C₂²×C₇₃	1	1	yes	characteristic
584	#390	C₂²×C₇₃	1	1	yes	characteristic
585	#390	C₂²×C₇₃	1	1	yes	characteristic
586	#389	C₂²×C₇₃	1	1	yes	characteristic
587	#389	C₂²×C₇₃	1	1	yes	characteristic
588	#389	C₂²×C₇₃	1	1	yes	characteristic
589	#389	C₂²×C₇₃	1	1	yes	characteristic
590	#389	C₂²×C₇₃	1	1	yes	characteristic
591	#389	C₂²×C₇₃	1	1	yes	characteristic
592	#389	C₂²×C₇₃	1	1	yes	characteristic
593	#389	C₂²×C₇₃	1	1	yes	characteristic
594	#389	C₂²×C₇₃	1	2	yes	—
595	#389	C₂²×C₇₃	1	1	yes	characteristic
596	#389	C₂²×C₇₃	1	1	yes	characteristic
597	#389	C₂²×C₇₃	1	2	yes	—
598	#389	C₂²×C₇₃	1	1	yes	characteristic
599	#389	C₂²×C₇₃	1	1	yes	characteristic
600	#388	C₂²×C₇₃	1	2	yes	—
601	#388	C₂²×C₇₃	1	2	yes	—
602	#388	C₂²×C₇₃	1	2	yes	—
603	#387	C₂²×C₇₃	1	2	yes	—
604	#387	C₂²×C₇₃	1	2	yes	—
605	#387	C₂²×C₇₃	1	2	yes	—
606	#387	C₂²×C₇₃	1	2	yes	—
607	#387	C₂²×C₇₃	1	1	yes	characteristic
608	#387	C₂²×C₇₃	1	1	yes	characteristic
609	#386	C₂²×C₇₃	1	2	yes	—
610	#386	C₂²×C₇₃	1	2	yes	—
611	#386	C₂²×C₇₃	1	2	yes	—
612	#385	C₂²×C₇₃	1	2	yes	—
613	#385	C₂²×C₇₃	1	2	yes	—
614	#385	C₂²×C₇₃	1	2	yes	—
615	#385	C₂²×C₇₃	1	2	yes	—
616	#385	C₂²×C₇₃	1	2	yes	—
617	#385	C₂²×C₇₃	1	2	yes	—
618	#385	C₂²×C₇₃	1	2	yes	—
619	#385	C₂²×C₇₃	1	1	yes	characteristic
620	#385	C₂²×C₇₃	1	1	yes	characteristic
621	#385	C₂²×C₇₃	1	2	yes	—
622	#384	C₂²×C₇₃	1	1	yes	characteristic
623	#384	C₂²×C₇₃	1	1	yes	characteristic
624	#380	C₂²×C₇₃	1	1	yes	characteristic
625	#380	C₂²×C₇₃	1	2	yes	—
626	#380	C₂²×C₇₃	1	1	yes	characteristic
627	#380	C₂²×C₇₃	1	2	yes	—
628	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
629	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
630	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
631	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
632	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
633	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
634	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
635	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
636	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
637	C₂×#95	C₂²×C₇₃	1	2	yes	—
638	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
639	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
640	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
641	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
642	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
643	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
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	2	yes	—
649	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
650	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
651	C₄⋊Q₈	—	2	8	no	—
652	C₄⋊Q₈	—	2	4	no	—
653	C₄⋊Q₈	—	4	2	no	—
654	#125	—	2	8	no	—
655	#125	—	2	8	no	—
656	C₂²⋊Q₈	—	2	8	no	—
657	C₂²⋊Q₈	—	2	8	no	—
658	C₂²⋊Q₈	—	2	8	no	—
659	C₂²⋊Q₈	—	2	8	no	—
660	C₂²⋊Q₈	—	2	8	no	—
661	C₂²⋊Q₈	D₄×C₇₃	1	8	yes	complemented
662	#121	Q₈×C₇₃	1	8	yes	complemented
663	C₄×Q₈	—	2	8	no	—
664	C₄×Q₈	—	4	2	no	—
665	C₄×D₄	—	2	8	no	—
666	C₄×D₄	—	2	4	no	—
667	C₄×D₄	—	2	8	no	—
668	C₄×D₄	—	2	8	no	—
669	C₄×D₄	—	4	2	no	—
670	C₄×D₄	—	4	2	no	—
671	C₂×C₄⋊C₄	—	2	8	no	—
672	C₂×C₄⋊C₄	—	2	8	no	—
673	C₂×C₄⋊C₄	—	2	4	no	—
674	C₂×C₄⋊C₄	—	4	2	no	—
675	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
676	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
678	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
679	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
680	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
681	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
682	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
685	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
686	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
687	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
688	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
690	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
691	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
692	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
693	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
694	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
695	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
696	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
697	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
698	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
699	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
700	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
702	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
703	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
704	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
705	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
706	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
707	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
709	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
712	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
713	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
714	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
715	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
716	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
717	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
718	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
719	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
720	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
721	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
722	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
723	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
724	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
725	C₂×C₄²	—	4	2	no	—
726	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
727	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
728	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
729	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
730	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
731	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
732	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
733	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
734	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
735	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
736	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
737	#95	C₂³×C₇₃	1	2	yes	—
738	#95	C₂³×C₇₃	1	2	yes	—
739	#95	C₂³×C₇₃	1	2	yes	—
740	#95	C₂³×C₇₃	1	2	yes	—
741	#95	C₂³×C₇₃	1	2	yes	—
742	#95	C₂³×C₇₃	1	1	yes	characteristic
743	#95	C₂³×C₇₃	1	1	yes	characteristic
744	#95	C₂³×C₇₃	1	2	yes	—
745	#95	C₂³×C₇₃	1	1	yes	characteristic
746	#95	C₂³×C₇₃	1	1	yes	characteristic
747	#95	C₂³×C₇₃	1	1	yes	characteristic
748	#95	C₂³×C₇₃	1	1	yes	characteristic
749	#95	C₂³×C₇₃	1	1	yes	characteristic
750	#95	C₂³×C₇₃	1	1	yes	characteristic
751	#95	C₂³×C₇₃	1	2	yes	—
752	#95	C₂³×C₇₃	1	2	yes	—
753	#95	C₂³×C₇₃	1	1	yes	characteristic
754	#95	C₂³×C₇₃	1	1	yes	characteristic
755	#95	C₂³×C₇₃	1	2	yes	—
756	#95	C₂³×C₇₃	1	2	yes	—
757	#95	C₂³×C₇₃	1	2	yes	—
758	#95	C₂³×C₇₃	1	2	yes	—
759	#95	C₂³×C₇₃	1	2	yes	—
760	#95	C₂³×C₇₃	1	2	yes	—
761	#95	C₂³×C₇₃	1	2	yes	—
762	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
763	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
764	C₂×Q₈	—	2	4	no	—
765	C₂×Q₈	—	2	4	no	—
766	C₂×Q₈	—	2	4	no	—
767	C₂×Q₈	—	4	1	no	—
768	C₂×Q₈	—	4	1	no	—
769	C₂×Q₈	—	4	2	no	—
770	C₂×Q₈	—	4	2	no	—
771	C₂×Q₈	—	4	2	no	—
772	C₂×Q₈	C₂×D₄×C₇₃	1	4	yes	—
773	C₂×D₄	—	2	4	no	—
774	C₂×D₄	—	2	4	no	—
775	C₂×D₄	—	2	2	no	—
776	C₂×D₄	—	2	2	no	—
777	C₂×D₄	C₂×Q₈×C₇₃	1	8	yes	—
778	C₂×D₄	C₂×Q₈×C₇₃	1	4	yes	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	4	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	—	2	4	no	—
784	C₂²×C₄	—	2	4	no	—
785	C₂²×C₄	—	2	4	no	—
786	C₂²×C₄	—	2	4	no	—
787	C₂²×C₄	—	2	4	no	—
788	C₂²×C₄	—	2	4	no	—
789	C₂²×C₄	—	4	1	no	—
790	C₂²×C₄	—	4	1	no	—
791	C₂²×C₄	—	4	2	no	—
792	C₂²×C₄	—	4	1	no	—
793	C₂²×C₄	—	4	2	no	—
794	C₂²×C₄	—	4	1	no	—
795	C₂²×C₄	—	4	2	no	—
796	C₂²×C₄	—	4	2	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	—	4	2	no	—
799	C₂²×C₄	—	4	2	no	—
800	C₂²×C₄	—	4	2	no	—
801	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
802	C₂²×C₄	C₂×Q₈×C₇₃	1	4	yes	—
803	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
804	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
805	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
806	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
807	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
808	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
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	1	yes	characteristic
815	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
816	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
817	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
818	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
819	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
820	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
821	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
823	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
824	C₄⋊C₄	—	2	4	no	—
825	C₄⋊C₄	—	2	4	no	—
826	C₄⋊C₄	—	2	4	no	—
827	C₄⋊C₄	—	2	4	no	—
828	C₄⋊C₄	—	2	4	no	—
829	C₄⋊C₄	—	2	4	no	—
830	C₄⋊C₄	—	2	4	no	—
831	C₄⋊C₄	—	2	4	no	—
832	C₄⋊C₄	—	2	4	no	—
833	C₄⋊C₄	—	2	4	no	—
834	C₄⋊C₄	—	2	4	no	—
835	C₄⋊C₄	—	2	4	no	—
836	C₄⋊C₄	—	2	4	no	—
837	C₄⋊C₄	—	2	4	no	—
838	C₄⋊C₄	—	2	2	no	—
839	C₄⋊C₄	—	2	4	no	—
840	C₄⋊C₄	—	2	2	no	—
841	C₄⋊C₄	—	2	2	no	—
842	C₄⋊C₄	—	2	2	no	—
843	C₄⋊C₄	—	2	2	no	—
844	C₄⋊C₄	—	4	2	no	—
845	C₄⋊C₄	—	4	1	no	—
846	C₄⋊C₄	—	4	1	no	—
847	C₄⋊C₄	—	4	1	no	—
848	C₄⋊C₄	—	4	2	no	—
849	C₄⋊C₄	—	4	2	no	—
850	C₄⋊C₄	—	4	1	no	—
851	C₄⋊C₄	—	4	1	no	—
852	C₄⋊C₄	—	4	1	no	—
853	C₄⋊C₄	—	4	2	no	—
854	C₄⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
855	C₄⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
856	C₄⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
857	C₄⋊C₄	C₂×Q₈×C₇₃	1	4	yes	—
858	C₄⋊C₄	#41×C₇₃	1	4	yes	—
859	C₂²⋊C₄	—	2	4	no	—
860	C₂²⋊C₄	—	2	2	no	—
861	C₂²⋊C₄	—	2	2	no	—
862	C₂²⋊C₄	—	2	4	no	—
863	C₂²⋊C₄	—	2	4	no	—
864	C₂²⋊C₄	—	2	4	no	—
865	C₂²⋊C₄	—	2	4	no	—
866	C₂²⋊C₄	—	4	2	no	—
867	C₂²⋊C₄	—	4	2	no	—
868	C₂²⋊C₄	—	4	2	no	—
869	C₂²⋊C₄	—	4	2	no	—
870	C₂²⋊C₄	—	4	2	no	—
871	C₂²⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
872	C₂²⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
873	C₂²⋊C₄	C₂×Q₈×C₇₃	1	8	yes	—
874	C₄²	—	2	4	no	—
875	C₄²	—	2	4	no	—
876	C₄²	—	2	4	no	—
877	C₄²	—	2	2	no	—
878	C₄²	—	2	2	no	—
879	C₄²	—	2	2	no	—
880	C₄²	—	2	2	no	—
881	C₄²	—	2	2	no	—
882	C₄²	—	2	2	no	—
883	C₄²	—	4	1	no	—
884	C₄²	—	4	1	no	—
885	C₂³	—	2	1	no	—
886	C₂³	—	2	1	no	—
887	C₂³	—	2	1	no	—
888	C₂³	—	2	1	no	—
889	C₂³	—	2	2	no	—
890	C₂³	—	2	2	no	—
891	C₂³	—	2	2	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	2	2	no	—
894	C₂³	—	2	2	no	—
895	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
896	C₂³	C₂²×Q₈×C₇₃	1	4	yes	—
897	C₂³	C₂²×Q₈×C₇₃	1	2	yes	—
898	C₂³	2₋¹⁺⁴×C₇₃	1	2	yes	—
899	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
900	Q₈	—	4	4	no	—
901	Q₈	—	4	8	no	—
902	Q₈	—	8	4	no	—
903	D₄	—	2	16	no	—
904	D₄	—	2	8	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	2	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	1	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	1	no	—
914	C₂×C₄	—	2	1	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	1	no	—
917	C₂×C₄	—	2	1	no	—
918	C₂×C₄	—	2	1	no	—
919	C₂×C₄	—	2	1	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	1	no	—
922	C₂×C₄	—	2	1	no	—
923	C₂×C₄	—	2	8	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	2	2	no	—
927	C₂×C₄	—	2	2	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	2	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	1	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	1	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	1	no	—
941	C₂×C₄	—	2	1	no	—
942	C₂×C₄	—	2	1	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	1	no	—
945	C₂×C₄	—	2	1	no	—
946	C₂×C₄	—	2	1	no	—
947	C₂×C₄	—	2	1	no	—
948	C₂×C₄	—	2	1	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	2	no	—
952	C₂×C₄	—	2	1	no	—
953	C₂×C₄	—	2	1	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	4	4	no	—
958	C₂×C₄	—	4	8	no	—
959	C₂×C₄	—	4	8	no	—
960	C₂×C₄	—	4	4	no	—
961	C₂×C₄	—	8	4	no	—
962	C₂×C₄	—	8	4	no	—
963	C₂×C₄	—	8	4	no	—
964	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
965	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
966	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
967	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
968	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
969	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
970	C₂×C₄	C₂²×Q₈×C₇₃	1	2	yes	—
971	C₂×C₄	C₂²×Q₈×C₇₃	1	4	yes	—
972	C₂×C₄	C₂²×Q₈×C₇₃	1	2	yes	—
973	C₂×C₄	C₂×#41×C₇₃	1	4	yes	—
974	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
975	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
976	C₂²	—	2	2	no	—
977	C₂²	—	2	2	no	—
978	C₂²	—	2	2	no	—
979	C₂²	—	2	2	no	—
980	C₂²	—	2	2	no	—
981	C₂²	—	2	2	no	—
982	C₂²	—	2	4	no	—
983	C₂²	—	2	4	no	—
984	C₂²	—	2	4	no	—
985	C₂²	—	4	2	no	—
986	C₂²	—	4	2	no	—
987	C₂²	—	4	2	no	—
988	C₂²	—	4	2	no	—
989	C₂²	D₄×Q₈×C₇₃	1	4	yes	—
990	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
991	C₂²	C₂³×Q₈×C₇₃	1	1	yes	characteristic
992	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
993	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
994	C₂²	C₂×2₋¹⁺⁴×C₇₃	1	1	yes	characteristic
995	C₂²	#585×C₇₃	1	1	yes	characteristic
996	C₂²	#585×C₇₃	1	1	yes	characteristic
997	C₄	—	2	4	no	—
998	C₄	—	2	2	no	—
999	C₄	—	2	4	no	—
1000	C₄	—	2	2	no	—
1001	C₄	—	2	2	no	—
1002	C₄	—	2	2	no	—
1003	C₄	—	2	2	no	—
1004	C₄	—	2	2	no	—
1005	C₄	—	2	2	no	—
1006	C₄	—	4	2	no	—
1007	C₄	—	4	2	no	—
1008	C₄	—	4	2	no	—
1009	C₄	—	4	2	no	—
1010	C₄	—	4	2	no	—
1011	C₄	—	4	1	no	—
1012	C₄	—	4	1	no	—
1013	C₄	—	4	1	no	—
1014	C₄	—	4	1	no	—
1015	C₄	—	4	1	no	—
1016	C₄	—	4	1	no	—
1017	C₄	#554×C₇₃	1	4	yes	complemented
1018	C₂	—	2	4	no	—
1019	C₂	—	4	4	no	—
1020	C₂	C₂×D₄×Q₈×C₇₃	1	1	yes	characteristic
1021	C₂	D₄×#41×C₇₃	1	1	yes	characteristic
1022	C₂	C₂×#554×C₇₃	1	1	yes	characteristic
1023	C₂	C₇₃×#3496	1	1	yes	characteristic
1024	C₂	C₇₃×#3504	1	1	yes	characteristic
1025	C₂	C₇₃×#3516	1	1	yes	characteristic
1026	C₂	C₇₃×#3541	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₃
prime radical	C₂×#121×C₇₃	C₂²
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×#554×C₇₃	C₂	semidirect
2. C₇₃×#2729	C₂	semidirect
3. C₇₃×#2704	C₂	semidirect
4. C₇₃×#2579	C₂	semidirect
5. C₇₃×#2546	C₂	semidirect
6. C₇₃×#2538	C₂	semidirect
7. C₇₃×#2506	C₂	semidirect
8. C₇₃×#2506	C₂	semidirect
9. C₇₃×#2473	C₂	semidirect
10. C₇₃×#2465	C₂	semidirect
11. C₇₃×#2452	C₂	semidirect
12. C₇₃×#2452	C₂	semidirect
13. C₇₃×#2450	C₂	semidirect
14. C₇₃×#2450	C₂	semidirect
15. C₇₃×#2440	C₂	semidirect
16. C₇₃×#2440	C₂	semidirect
17. C₇₃×#2365	C₂	semidirect
20. D₄×C₄⋊C₄×C₇₃	C₂	semidirect
21. C₄×C₂²⋊Q₈×C₇₃	C₂	semidirect
23. C₂×#389×C₇₃	C₂	semidirect
147. C₂²⋊Q₈×C₇₃	D₄	semidirect
148. #121×C₇₃	Q₈	semidirect
503. C₄×C₇₃	#554	semidirect
504. #59831	C₇₃	direct (N × H)
514. C₂×#554	C₂×C₇₃	semidirect
515. #2729	C₂×C₇₃	semidirect
516. #2704	C₂×C₇₃	semidirect
517. #2579	C₂×C₇₃	semidirect
518. #2546	C₂×C₇₃	semidirect
519. #2538	C₂×C₇₃	semidirect
520. #2506	C₂×C₇₃	semidirect
521. #2506	C₂×C₇₃	semidirect
522. #2473	C₂×C₇₃	semidirect
523. #2465	C₂×C₇₃	semidirect
524. #2452	C₂×C₇₃	semidirect
525. #2452	C₂×C₇₃	semidirect
526. #2450	C₂×C₇₃	semidirect
527. #2450	C₂×C₇₃	semidirect
528. #2440	C₂×C₇₃	semidirect
529. #2440	C₂×C₇₃	semidirect
530. #2365	C₂×C₇₃	semidirect
533. D₄×C₄⋊C₄	C₂×C₇₃	semidirect
534. C₄×C₂²⋊Q₈	C₂×C₇₃	semidirect
536. C₂×#389	C₂×C₇₃	semidirect
537. C₇₃	#59831	direct (N × H)
661. C₂²⋊Q₈	D₄×C₇₃	semidirect
662. #121	Q₈×C₇₃	semidirect
1017. C₄	#554×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#554×C₇₃	2
C₇₃×#2729	2
C₇₃×#2704	2
C₇₃×#2579	2
C₇₃×#2546	2
C₇₃×#2538	2
C₇₃×#2506	2
C₇₃×#2473	2
C₇₃×#2465	2
C₇₃×#2452	2
C₇₃×#2450	2
C₇₃×#2440	2
C₇₃×#2365	2
C₇₃×#2361	2
D₄×C₄⋊C₄×C₇₃	2
C₄×C₂²⋊Q₈×C₇₃	2
C₄×#121×C₇₃	2
C₂×#389×C₇₃	2
#59831	73

Subgroups — C73×#59831 #32969235

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#59831 #32969235