Subgroups — C₇₃×#59480 #32968884

Order 18688.

2326 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#2749	C₂	1	2	yes	maximal, complemented
2	C₇₃×#2685	C₂	1	2	yes	maximal, complemented
3	C₇₃×#2600	C₂	1	2	yes	maximal, complemented
4	C₇₃×#2566	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#2534	C₂	1	2	yes	maximal, complemented
6	C₇₃×#2497	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#2490	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#2471	C₂	1	2	yes	maximal, complemented
9	C₇₃×#2457	C₂	1	2	yes	maximal, complemented
10	C₇₃×#2454	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#2445	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₃×#2445	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#2433	C₂	1	1	yes	maximal, characteristic
14	C₇₃×#2420	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#2411	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	C₇₃×#2357	C₂	1	1	yes	maximal, characteristic, complemented
19	D₄×C₂²⋊C₄×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×C₂²⋊C₄×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#127×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#126×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#2293	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic
25	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic
26	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic
27	C₂×#126×C₇₃	C₂²	1	1	yes	characteristic
28	C₂×#125×C₇₃	C₂²	1	1	yes	characteristic, complemented
29	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
30	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
31	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
32	C₂×#120×C₇₃	C₂²	1	2	yes	—
33	C₂×#120×C₇₃	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
39	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
40	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
42	C₂×#117×C₇₃	C₂²	1	2	yes	complemented
43	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
44	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
45	#400×C₇₃	C₂²	1	2	yes	complemented
46	#399×C₇₃	C₂²	1	2	yes	complemented
47	#397×C₇₃	C₂²	1	2	yes	complemented
48	#397×C₇₃	C₂²	1	2	yes	complemented
49	#396×C₇₃	C₂²	1	2	yes	—
50	#396×C₇₃	C₂²	1	2	yes	complemented
51	#396×C₇₃	C₂²	1	2	yes	complemented
52	#396×C₇₃	C₂²	1	2	yes	complemented
53	#394×C₇₃	C₂²	1	2	yes	—
54	#394×C₇₃	C₂²	1	2	yes	—
55	#394×C₇₃	C₂²	1	2	yes	complemented
56	#394×C₇₃	C₂²	1	2	yes	complemented
57	#394×C₇₃	C₂²	1	2	yes	complemented
58	#394×C₇₃	C₂²	1	2	yes	complemented
59	#392×C₇₃	C₂²	1	2	yes	—
60	#392×C₇₃	C₂²	1	2	yes	—
61	#390×C₇₃	C₂²	1	1	yes	characteristic
62	#390×C₇₃	C₂²	1	1	yes	characteristic
63	#390×C₇₃	C₂²	1	1	yes	characteristic
64	#390×C₇₃	C₂²	1	2	yes	—
65	#390×C₇₃	C₂²	1	1	yes	characteristic
66	#390×C₇₃	C₂²	1	1	yes	characteristic
67	#390×C₇₃	C₂²	1	1	yes	characteristic
68	#390×C₇₃	C₂²	1	1	yes	characteristic, complemented
69	#390×C₇₃	C₂²	1	1	yes	characteristic, complemented
70	#390×C₇₃	C₂²	1	1	yes	characteristic, complemented
71	#390×C₇₃	C₂²	1	2	yes	complemented
72	#390×C₇₃	C₂²	1	2	yes	complemented
73	#390×C₇₃	C₂²	1	2	yes	complemented
74	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
75	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
76	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
77	#388×C₇₃	C₂²	1	2	yes	—
78	#388×C₇₃	C₂²	1	1	yes	characteristic
79	#388×C₇₃	C₂²	1	1	yes	characteristic
80	#388×C₇₃	C₂²	1	1	yes	characteristic
81	#388×C₇₃	C₂²	1	2	yes	complemented
82	#388×C₇₃	C₂²	1	2	yes	complemented
83	#388×C₇₃	C₂²	1	2	yes	complemented
84	#388×C₇₃	C₂²	1	2	yes	complemented
85	#388×C₇₃	C₂²	1	2	yes	complemented
86	#387×C₇₃	C₂²	1	1	yes	characteristic, complemented
87	#387×C₇₃	C₂²	1	1	yes	characteristic, complemented
88	#387×C₇₃	C₂²	1	2	yes	complemented
89	#387×C₇₃	C₂²	1	1	yes	characteristic, complemented
90	#386×C₇₃	C₂²	1	2	yes	—
91	#386×C₇₃	C₂²	1	2	yes	—
92	#386×C₇₃	C₂²	1	2	yes	—
93	#386×C₇₃	C₂²	1	2	yes	—
94	#386×C₇₃	C₂²	1	2	yes	—
95	#386×C₇₃	C₂²	1	2	yes	complemented
96	#386×C₇₃	C₂²	1	2	yes	complemented
97	#386×C₇₃	C₂²	1	2	yes	complemented
98	#386×C₇₃	C₂²	1	2	yes	complemented
99	#385×C₇₃	C₂²	1	2	yes	complemented
100	#385×C₇₃	C₂²	1	2	yes	complemented
101	#385×C₇₃	C₂²	1	2	yes	complemented
102	#384×C₇₃	C₂²	1	1	yes	characteristic, complemented
103	#383×C₇₃	C₂²	1	1	yes	characteristic, complemented
104	#382×C₇₃	C₂²	1	1	yes	characteristic, complemented
105	#381×C₇₃	C₂²	1	2	yes	complemented
106	#381×C₇₃	C₂²	1	2	yes	complemented
107	#380×C₇₃	C₂²	1	1	yes	characteristic
108	#380×C₇₃	C₂²	1	1	yes	characteristic
109	#380×C₇₃	C₂²	1	2	yes	complemented
110	#379×C₇₃	C₂²	1	2	yes	—
111	#379×C₇₃	C₂²	1	2	yes	—
112	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
117	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
118	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
119	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
120	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
121	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
122	C₄³×C₇₃	C₂²	1	1	yes	characteristic, complemented
123	C₂⁵×C₇₃	C₂³	1	2	yes	—
124	C₂²×D₄×C₇₃	—	2	4	no	—
125	C₂²×D₄×C₇₃	—	2	4	no	—
126	C₂²×D₄×C₇₃	—	4	2	no	—
127	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
128	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
129	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
130	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
131	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
132	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
135	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
136	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
138	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
139	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
140	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
141	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
142	#127×C₇₃	—	2	4	no	—
143	#127×C₇₃	—	2	4	no	—
144	#126×C₇₃	—	2	4	no	—
145	#125×C₇₃	—	4	2	no	—
146	#123×C₇₃	—	4	4	no	—
147	#123×C₇₃	—	4	4	no	—
148	#121×C₇₃	—	4	2	no	—
149	#120×C₇₃	—	2	8	no	—
150	#120×C₇₃	—	4	4	no	—
151	C₄×D₄×C₇₃	—	2	4	no	—
152	C₄×D₄×C₇₃	—	2	4	no	—
153	C₄×D₄×C₇₃	—	4	4	no	—
154	C₄×D₄×C₇₃	—	4	2	no	—
155	C₄×D₄×C₇₃	—	4	2	no	—
156	C₄×D₄×C₇₃	—	4	2	no	—
157	C₄×D₄×C₇₃	—	4	4	no	—
158	C₄×D₄×C₇₃	—	4	4	no	—
159	#117×C₇₃	—	4	4	no	—
160	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
165	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
166	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
167	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
168	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
169	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
170	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₇₃	—	4	4	no	—
179	C₂×C₂²⋊C₄×C₇₃	—	4	4	no	—
180	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
181	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
182	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
183	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
184	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
191	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
192	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
193	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
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	2	yes	—
209	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
210	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
217	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
223	C₂×C₄²×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	1	yes	characteristic
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	2	yes	—
232	#95×C₇₃	C₂³	1	2	yes	—
233	#95×C₇₃	C₂³	1	2	yes	—
234	#95×C₇₃	C₂³	1	1	yes	characteristic
235	#95×C₇₃	C₂³	1	1	yes	characteristic
236	#95×C₇₃	C₂³	1	2	yes	—
237	#95×C₇₃	C₂³	1	2	yes	—
238	#95×C₇₃	C₂³	1	1	yes	characteristic
239	#95×C₇₃	C₂³	1	1	yes	characteristic
240	#95×C₇₃	C₂³	1	1	yes	characteristic
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	C₂⁴×C₇₃	—	2	4	no	—
246	C₂⁴×C₇₃	—	2	4	no	—
247	C₂⁴×C₇₃	—	2	4	no	—
248	C₂⁴×C₇₃	—	4	2	no	—
249	C₂⁴×C₇₃	—	4	2	no	—
250	C₂⁴×C₇₃	—	4	2	no	—
251	C₂⁴×C₇₃	—	4	2	no	—
252	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
253	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
254	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
255	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
256	C₂×D₄×C₇₃	—	2	4	no	—
257	C₂×D₄×C₇₃	—	2	4	no	—
258	C₂×D₄×C₇₃	—	2	4	no	—
259	C₂×D₄×C₇₃	—	2	4	no	—
260	C₂×D₄×C₇₃	—	2	4	no	—
261	C₂×D₄×C₇₃	—	2	4	no	—
262	C₂×D₄×C₇₃	—	2	4	no	—
263	C₂×D₄×C₇₃	—	2	2	no	—
264	C₂×D₄×C₇₃	—	2	2	no	—
265	C₂×D₄×C₇₃	—	2	4	no	—
266	C₂×D₄×C₇₃	—	2	4	no	—
267	C₂×D₄×C₇₃	—	2	2	no	—
268	C₂×D₄×C₇₃	—	2	2	no	—
269	C₂×D₄×C₇₃	—	2	2	no	—
270	C₂×D₄×C₇₃	—	2	2	no	—
271	C₂×D₄×C₇₃	—	2	2	no	—
272	C₂×D₄×C₇₃	—	2	4	no	—
273	C₂×D₄×C₇₃	—	4	2	no	—
274	C₂×D₄×C₇₃	—	4	2	no	—
275	C₂×D₄×C₇₃	—	4	2	no	—
276	C₂×D₄×C₇₃	—	4	2	no	—
277	C₂×D₄×C₇₃	—	4	2	no	—
278	C₂×D₄×C₇₃	—	4	2	no	—
279	C₂×D₄×C₇₃	—	4	2	no	—
280	C₂×D₄×C₇₃	—	4	2	no	—
281	C₂×D₄×C₇₃	—	4	16	no	—
282	C₂×D₄×C₇₃	#41	1	4	yes	—
283	C₂×D₄×C₇₃	#41	1	4	yes	—
284	C₂²×C₄×C₇₃	—	2	4	no	—
285	C₂²×C₄×C₇₃	—	2	4	no	—
286	C₂²×C₄×C₇₃	—	2	2	no	—
287	C₂²×C₄×C₇₃	—	2	2	no	—
288	C₂²×C₄×C₇₃	—	2	4	no	—
289	C₂²×C₄×C₇₃	—	2	2	no	—
290	C₂²×C₄×C₇₃	—	2	4	no	—
291	C₂²×C₄×C₇₃	—	2	4	no	—
292	C₂²×C₄×C₇₃	—	4	2	no	—
293	C₂²×C₄×C₇₃	—	4	2	no	—
294	C₂²×C₄×C₇₃	—	4	2	no	—
295	C₂²×C₄×C₇₃	—	4	2	no	—
296	C₂²×C₄×C₇₃	—	4	2	no	—
297	C₂²×C₄×C₇₃	—	4	2	no	—
298	C₂²×C₄×C₇₃	—	4	2	no	—
299	C₂²×C₄×C₇₃	—	4	2	no	—
300	C₂²×C₄×C₇₃	—	4	2	no	—
301	C₂²×C₄×C₇₃	—	4	2	no	—
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	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
311	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
312	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
313	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
315	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
317	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
321	C₄⋊C₄×C₇₃	—	2	2	no	—
322	C₄⋊C₄×C₇₃	—	2	2	no	—
323	C₄⋊C₄×C₇₃	—	2	2	no	—
324	C₄⋊C₄×C₇₃	—	2	2	no	—
325	C₄⋊C₄×C₇₃	—	2	2	no	—
326	C₄⋊C₄×C₇₃	—	2	4	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	—	2	2	no	—
331	C₄⋊C₄×C₇₃	—	2	2	no	—
332	C₄⋊C₄×C₇₃	—	2	2	no	—
333	C₄⋊C₄×C₇₃	—	4	2	no	—
334	C₄⋊C₄×C₇₃	—	4	2	no	—
335	C₄⋊C₄×C₇₃	—	4	2	no	—
336	C₄⋊C₄×C₇₃	—	4	2	no	—
337	C₄⋊C₄×C₇₃	—	4	2	no	—
338	C₄⋊C₄×C₇₃	—	4	2	no	—
339	C₂²⋊C₄×C₇₃	—	2	4	no	—
340	C₂²⋊C₄×C₇₃	—	2	4	no	—
341	C₂²⋊C₄×C₇₃	—	2	2	no	—
342	C₂²⋊C₄×C₇₃	—	2	2	no	—
343	C₂²⋊C₄×C₇₃	—	2	4	no	—
344	C₂²⋊C₄×C₇₃	—	2	4	no	—
345	C₂²⋊C₄×C₇₃	—	2	2	no	—
346	C₂²⋊C₄×C₇₃	—	2	2	no	—
347	C₂²⋊C₄×C₇₃	—	2	4	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	2	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	—	4	2	no	—
358	C₂²⋊C₄×C₇₃	—	4	2	no	—
359	C₂²⋊C₄×C₇₃	—	4	2	no	—
360	C₂²⋊C₄×C₇₃	—	4	2	no	—
361	C₂²⋊C₄×C₇₃	—	4	2	no	—
362	C₂²⋊C₄×C₇₃	—	4	2	no	—
363	C₂²⋊C₄×C₇₃	—	4	2	no	—
364	C₂²⋊C₄×C₇₃	—	4	2	no	—
365	C₂²⋊C₄×C₇₃	—	4	2	no	—
366	C₂²⋊C₄×C₇₃	—	4	2	no	—
367	C₂²⋊C₄×C₇₃	—	4	2	no	—
368	C₂²⋊C₄×C₇₃	—	4	2	no	—
369	C₂²⋊C₄×C₇₃	—	4	2	no	—
370	C₂²⋊C₄×C₇₃	#41	1	4	yes	—
371	C₄²×C₇₃	—	2	2	no	—
372	C₄²×C₇₃	—	2	2	no	—
373	C₄²×C₇₃	—	2	2	no	—
374	C₄²×C₇₃	—	2	2	no	—
375	C₄²×C₇₃	—	2	2	no	—
376	C₄²×C₇₃	—	2	2	no	—
377	C₄²×C₇₃	—	2	2	no	—
378	C₄²×C₇₃	—	2	2	no	—
379	C₄²×C₇₃	—	2	2	no	—
380	C₄²×C₇₃	—	2	2	no	—
381	C₄²×C₇₃	—	4	2	no	—
382	C₄²×C₇₃	—	4	2	no	—
383	C₂³×C₇₃	—	2	2	no	—
384	C₂³×C₇₃	—	2	2	no	—
385	C₂³×C₇₃	—	2	1	no	—
386	C₂³×C₇₃	—	2	1	no	—
387	C₂³×C₇₃	—	2	2	no	—
388	C₂³×C₇₃	—	2	2	no	—
389	C₂³×C₇₃	—	2	1	no	—
390	C₂³×C₇₃	—	2	1	no	—
391	C₂³×C₇₃	—	2	2	no	—
392	C₂³×C₇₃	—	2	2	no	—
393	C₂³×C₇₃	—	2	2	no	—
394	C₂³×C₇₃	—	2	1	no	—
395	C₂³×C₇₃	—	2	2	no	—
396	C₂³×C₇₃	—	2	2	no	—
397	C₂³×C₇₃	—	2	2	no	—
398	C₂³×C₇₃	—	2	2	no	—
399	C₂³×C₇₃	—	2	2	no	—
400	C₂³×C₇₃	—	2	1	no	—
401	C₂³×C₇₃	—	2	2	no	—
402	C₂³×C₇₃	—	2	2	no	—
403	C₂³×C₇₃	—	2	2	no	—
404	C₂³×C₇₃	—	2	2	no	—
405	C₂³×C₇₃	—	2	2	no	—
406	C₂³×C₇₃	—	2	2	no	—
407	C₂³×C₇₃	—	2	2	no	—
408	C₂³×C₇₃	—	4	8	no	—
409	C₂³×C₇₃	—	4	8	no	—
410	C₂³×C₇₃	—	4	8	no	—
411	C₂³×C₇₃	—	8	4	no	—
412	C₂³×C₇₃	—	8	4	no	—
413	C₂³×C₇₃	—	8	4	no	—
414	C₂³×C₇₃	—	8	4	no	—
415	C₂³×C₇₃	C₂×#41	1	2	yes	—
416	C₂³×C₇₃	C₂×#41	1	4	yes	—
417	C₂³×C₇₃	C₂×#41	1	4	yes	—
418	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
419	D₄×C₇₃	—	2	8	no	—
420	D₄×C₇₃	—	2	8	no	—
421	D₄×C₇₃	—	4	8	no	—
422	D₄×C₇₃	—	4	8	no	—
423	D₄×C₇₃	—	4	8	no	—
424	D₄×C₇₃	—	4	8	no	—
425	D₄×C₇₃	—	4	4	no	—
426	D₄×C₇₃	—	8	4	no	—
427	D₄×C₇₃	—	8	4	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	1	no	—
436	C₂×C₄×C₇₃	—	2	1	no	—
437	C₂×C₄×C₇₃	—	2	1	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	1	no	—
442	C₂×C₄×C₇₃	—	2	1	no	—
443	C₂×C₄×C₇₃	—	2	1	no	—
444	C₂×C₄×C₇₃	—	2	2	no	—
445	C₂×C₄×C₇₃	—	2	1	no	—
446	C₂×C₄×C₇₃	—	2	1	no	—
447	C₂×C₄×C₇₃	—	2	2	no	—
448	C₂×C₄×C₇₃	—	2	2	no	—
449	C₂×C₄×C₇₃	—	2	1	no	—
450	C₂×C₄×C₇₃	—	2	1	no	—
451	C₂×C₄×C₇₃	—	2	1	no	—
452	C₂×C₄×C₇₃	—	2	1	no	—
453	C₂×C₄×C₇₃	—	2	1	no	—
454	C₂×C₄×C₇₃	—	2	1	no	—
455	C₂×C₄×C₇₃	—	2	1	no	—
456	C₂×C₄×C₇₃	—	2	2	no	—
457	C₂×C₄×C₇₃	—	2	2	no	—
458	C₂×C₄×C₇₃	—	2	2	no	—
459	C₂×C₄×C₇₃	—	2	2	no	—
460	C₂×C₄×C₇₃	—	2	1	no	—
461	C₂×C₄×C₇₃	—	2	1	no	—
462	C₂×C₄×C₇₃	—	2	1	no	—
463	C₂×C₄×C₇₃	—	2	2	no	—
464	C₂×C₄×C₇₃	—	2	2	no	—
465	C₂×C₄×C₇₃	—	2	1	no	—
466	C₂×C₄×C₇₃	—	2	1	no	—
467	C₂×C₄×C₇₃	—	2	2	no	—
468	C₂×C₄×C₇₃	—	2	2	no	—
469	C₂×C₄×C₇₃	—	2	2	no	—
470	C₂×C₄×C₇₃	—	2	1	no	—
471	C₂×C₄×C₇₃	—	2	2	no	—
472	C₂×C₄×C₇₃	—	2	1	no	—
473	C₂×C₄×C₇₃	—	2	1	no	—
474	C₂×C₄×C₇₃	—	2	2	no	—
475	C₂×C₄×C₇₃	—	2	2	no	—
476	C₂×C₄×C₇₃	—	2	1	no	—
477	C₂×C₄×C₇₃	—	4	8	no	—
478	C₂×C₄×C₇₃	—	4	4	no	—
479	C₂×C₄×C₇₃	—	8	4	no	—
480	C₂×C₄×C₇₃	—	8	4	no	—
481	C₂×C₄×C₇₃	—	8	4	no	—
482	C₂×C₄×C₇₃	—	8	4	no	—
483	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
484	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
485	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
486	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
487	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
488	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
489	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
490	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
491	C₂²×C₇₃	—	2	4	no	—
492	C₂²×C₇₃	—	2	4	no	—
493	C₂²×C₇₃	—	2	4	no	—
494	C₂²×C₇₃	—	2	4	no	—
495	C₂²×C₇₃	—	2	2	no	—
496	C₂²×C₇₃	—	2	2	no	—
497	C₂²×C₇₃	—	2	2	no	—
498	C₂²×C₇₃	—	2	4	no	—
499	C₂²×C₇₃	—	2	4	no	—
500	C₂²×C₇₃	—	4	1	no	—
501	C₂²×C₇₃	—	4	2	no	—
502	C₂²×C₇₃	—	4	2	no	—
503	C₂²×C₇₃	—	4	2	no	—
504	C₂²×C₇₃	—	4	2	no	—
505	C₂²×C₇₃	—	4	2	no	—
506	C₂²×C₇₃	—	4	2	no	—
507	C₂²×C₇₃	—	4	1	no	—
508	C₂²×C₇₃	—	4	1	no	—
509	C₂²×C₇₃	—	4	2	no	—
510	C₂²×C₇₃	—	4	2	no	—
511	C₂²×C₇₃	—	4	1	no	—
512	C₂²×C₇₃	—	4	2	no	—
513	C₂²×C₇₃	—	4	2	no	—
514	C₂²×C₇₃	—	4	2	no	—
515	C₂²×C₇₃	—	4	2	no	—
516	C₂²×C₇₃	—	4	2	no	—
517	C₂²×C₇₃	—	4	2	no	—
518	C₂²×C₇₃	—	4	2	no	—
519	C₂²×C₇₃	—	8	16	no	—
520	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
521	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
522	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
523	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
524	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
525	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
526	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
527	C₄×C₇₃	—	2	2	no	—
528	C₄×C₇₃	—	2	2	no	—
529	C₄×C₇₃	—	2	2	no	—
530	C₄×C₇₃	—	2	2	no	—
531	C₄×C₇₃	—	2	2	no	—
532	C₄×C₇₃	—	4	1	no	—
533	C₄×C₇₃	—	4	1	no	—
534	C₄×C₇₃	—	4	1	no	—
535	C₄×C₇₃	—	4	1	no	—
536	C₄×C₇₃	—	4	1	no	—
537	C₄×C₇₃	—	4	2	no	—
538	C₄×C₇₃	—	4	2	no	—
539	C₄×C₇₃	—	4	2	no	—
540	C₄×C₇₃	—	4	1	no	—
541	C₄×C₇₃	—	4	1	no	—
542	C₄×C₇₃	—	4	2	no	—
543	C₄×C₇₃	—	4	1	no	—
544	C₄×C₇₃	—	4	2	no	—
545	C₄×C₇₃	#551	1	4	yes	—
546	#59480	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
547	C₂×C₇₃	—	4	4	no	—
548	C₂×C₇₃	—	4	4	no	—
549	C₂×C₇₃	—	4	2	no	—
550	C₂×C₇₃	—	8	2	no	—
551	C₂×C₇₃	C₂×#551	1	1	yes	characteristic
552	C₂×C₇₃	#3481	1	1	yes	characteristic
553	C₂×C₇₃	#3481	1	1	yes	characteristic
554	C₂×C₇₃	#3508	1	1	yes	characteristic
555	C₂×C₇₃	#3519	1	1	yes	characteristic
556	C₂×C₇₃	#3519	1	1	yes	characteristic
557	C₂×C₇₃	#3543	1	1	yes	characteristic
558	#2749	C₂×C₇₃	1	2	yes	complemented
559	#2685	C₂×C₇₃	1	2	yes	complemented
560	#2600	C₂×C₇₃	1	2	yes	complemented
561	#2566	C₂×C₇₃	1	1	yes	characteristic, complemented
562	#2534	C₂×C₇₃	1	2	yes	complemented
563	#2497	C₂×C₇₃	1	1	yes	characteristic, complemented
564	#2490	C₂×C₇₃	1	1	yes	characteristic, complemented
565	#2471	C₂×C₇₃	1	2	yes	complemented
566	#2457	C₂×C₇₃	1	2	yes	complemented
567	#2454	C₂×C₇₃	1	1	yes	characteristic, complemented
568	#2445	C₂×C₇₃	1	1	yes	characteristic, complemented
569	#2445	C₂×C₇₃	1	1	yes	characteristic, complemented
570	#2433	C₂×C₇₃	1	1	yes	characteristic
571	#2420	C₂×C₇₃	1	1	yes	characteristic, complemented
572	#2411	C₂×C₇₃	1	2	yes	complemented
573	#2366	C₂×C₇₃	1	1	yes	characteristic, complemented
574	#2358	C₂×C₇₃	1	2	yes	complemented
575	#2357	C₂×C₇₃	1	1	yes	characteristic, complemented
576	D₄×C₂²⋊C₄	C₂×C₇₃	1	1	yes	characteristic, complemented
577	D₄×C₂²⋊C₄	C₂×C₇₃	1	1	yes	characteristic, complemented
578	C₄×#127	C₂×C₇₃	1	1	yes	characteristic, complemented
579	C₄×#126	C₂×C₇₃	1	1	yes	characteristic, complemented
580	#2293	C₂×C₇₃	1	1	yes	characteristic, complemented
581	C₇₃	#59480	1	1	yes	characteristic, direct product factor, Sylow
582	C₂³×D₄	C₂²×C₇₃	1	1	yes	characteristic
583	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic
584	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic
585	C₂×#126	C₂²×C₇₃	1	1	yes	characteristic
586	C₂×#125	C₂²×C₇₃	1	1	yes	characteristic, complemented
587	C₂×#123	C₂²×C₇₃	1	2	yes	complemented
588	C₂×#123	C₂²×C₇₃	1	2	yes	complemented
589	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
590	C₂×#120	C₂²×C₇₃	1	2	yes	—
591	C₂×#120	C₂²×C₇₃	1	2	yes	—
592	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
593	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
594	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
595	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
596	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	complemented
597	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	complemented
598	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
599	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	complemented
600	C₂×#117	C₂²×C₇₃	1	2	yes	complemented
601	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
602	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
603	#400	C₂²×C₇₃	1	2	yes	complemented
604	#399	C₂²×C₇₃	1	2	yes	complemented
605	#397	C₂²×C₇₃	1	2	yes	complemented
606	#397	C₂²×C₇₃	1	2	yes	complemented
607	#396	C₂²×C₇₃	1	2	yes	—
608	#396	C₂²×C₇₃	1	2	yes	complemented
609	#396	C₂²×C₇₃	1	2	yes	complemented
610	#396	C₂²×C₇₃	1	2	yes	complemented
611	#394	C₂²×C₇₃	1	2	yes	—
612	#394	C₂²×C₇₃	1	2	yes	—
613	#394	C₂²×C₇₃	1	2	yes	complemented
614	#394	C₂²×C₇₃	1	2	yes	complemented
615	#394	C₂²×C₇₃	1	2	yes	complemented
616	#394	C₂²×C₇₃	1	2	yes	complemented
617	#392	C₂²×C₇₃	1	2	yes	—
618	#392	C₂²×C₇₃	1	2	yes	—
619	#390	C₂²×C₇₃	1	1	yes	characteristic
620	#390	C₂²×C₇₃	1	1	yes	characteristic
621	#390	C₂²×C₇₃	1	1	yes	characteristic
622	#390	C₂²×C₇₃	1	1	yes	characteristic
623	#390	C₂²×C₇₃	1	1	yes	characteristic
624	#390	C₂²×C₇₃	1	1	yes	characteristic
625	#390	C₂²×C₇₃	1	2	yes	—
626	#390	C₂²×C₇₃	1	2	yes	complemented
627	#390	C₂²×C₇₃	1	2	yes	complemented
628	#390	C₂²×C₇₃	1	1	yes	characteristic, complemented
629	#390	C₂²×C₇₃	1	2	yes	complemented
630	#390	C₂²×C₇₃	1	1	yes	characteristic, complemented
631	#390	C₂²×C₇₃	1	1	yes	characteristic, complemented
632	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
633	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
634	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
635	#388	C₂²×C₇₃	1	1	yes	characteristic
636	#388	C₂²×C₇₃	1	1	yes	characteristic
637	#388	C₂²×C₇₃	1	1	yes	characteristic
638	#388	C₂²×C₇₃	1	2	yes	—
639	#388	C₂²×C₇₃	1	2	yes	complemented
640	#388	C₂²×C₇₃	1	2	yes	complemented
641	#388	C₂²×C₇₃	1	2	yes	complemented
642	#388	C₂²×C₇₃	1	2	yes	complemented
643	#388	C₂²×C₇₃	1	2	yes	complemented
644	#387	C₂²×C₇₃	1	1	yes	characteristic, complemented
645	#387	C₂²×C₇₃	1	1	yes	characteristic, complemented
646	#387	C₂²×C₇₃	1	1	yes	characteristic, complemented
647	#387	C₂²×C₇₃	1	2	yes	complemented
648	#386	C₂²×C₇₃	1	2	yes	—
649	#386	C₂²×C₇₃	1	2	yes	—
650	#386	C₂²×C₇₃	1	2	yes	—
651	#386	C₂²×C₇₃	1	2	yes	—
652	#386	C₂²×C₇₃	1	2	yes	—
653	#386	C₂²×C₇₃	1	2	yes	complemented
654	#386	C₂²×C₇₃	1	2	yes	complemented
655	#386	C₂²×C₇₃	1	2	yes	complemented
656	#386	C₂²×C₇₃	1	2	yes	complemented
657	#385	C₂²×C₇₃	1	2	yes	complemented
658	#385	C₂²×C₇₃	1	2	yes	complemented
659	#385	C₂²×C₇₃	1	2	yes	complemented
660	#384	C₂²×C₇₃	1	1	yes	characteristic, complemented
661	#383	C₂²×C₇₃	1	1	yes	characteristic, complemented
662	#382	C₂²×C₇₃	1	1	yes	characteristic, complemented
663	#381	C₂²×C₇₃	1	2	yes	complemented
664	#381	C₂²×C₇₃	1	2	yes	complemented
665	#380	C₂²×C₇₃	1	1	yes	characteristic
666	#380	C₂²×C₇₃	1	1	yes	characteristic
667	#380	C₂²×C₇₃	1	2	yes	complemented
668	#379	C₂²×C₇₃	1	2	yes	—
669	#379	C₂²×C₇₃	1	2	yes	—
670	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
671	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
672	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
673	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
674	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
675	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
676	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
677	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
678	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
679	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
680	C₄³	C₂²×C₇₃	1	1	yes	characteristic, complemented
681	C₂⁵	C₂³×C₇₃	1	2	yes	—
682	C₂²×D₄	—	2	4	no	—
683	C₂²×D₄	—	2	4	no	—
684	C₂²×D₄	—	4	2	no	—
685	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
686	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
687	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
688	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
689	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
690	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
691	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
692	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
693	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
694	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
695	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
696	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
697	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
698	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
699	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
700	#127	—	2	4	no	—
701	#127	—	2	4	no	—
702	#126	—	2	4	no	—
703	#125	—	4	2	no	—
704	#123	—	4	4	no	—
705	#123	—	4	4	no	—
706	#121	—	4	2	no	—
707	#120	—	2	8	no	—
708	#120	—	4	4	no	—
709	C₄×D₄	—	2	4	no	—
710	C₄×D₄	—	2	4	no	—
711	C₄×D₄	—	4	4	no	—
712	C₄×D₄	—	4	2	no	—
713	C₄×D₄	—	4	2	no	—
714	C₄×D₄	—	4	2	no	—
715	C₄×D₄	—	4	4	no	—
716	C₄×D₄	—	4	4	no	—
717	#117	—	4	4	no	—
718	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
719	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
720	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
721	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
723	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
724	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
725	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
727	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
728	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
730	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
731	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
732	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
733	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
734	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
735	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
736	C₂×C₂²⋊C₄	—	4	4	no	—
737	C₂×C₂²⋊C₄	—	4	4	no	—
738	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
739	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
740	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
745	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
746	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
747	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
750	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
751	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
754	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
755	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
756	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
757	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
758	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
760	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
761	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
765	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
768	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
769	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
770	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
771	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
772	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
773	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
774	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
775	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
776	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
777	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
778	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
779	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
780	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
781	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
782	#95	C₂³×C₇₃	1	1	yes	characteristic
783	#95	C₂³×C₇₃	1	1	yes	characteristic
784	#95	C₂³×C₇₃	1	1	yes	characteristic
785	#95	C₂³×C₇₃	1	1	yes	characteristic
786	#95	C₂³×C₇₃	1	1	yes	characteristic
787	#95	C₂³×C₇₃	1	1	yes	characteristic
788	#95	C₂³×C₇₃	1	1	yes	characteristic
789	#95	C₂³×C₇₃	1	2	yes	—
790	#95	C₂³×C₇₃	1	2	yes	—
791	#95	C₂³×C₇₃	1	2	yes	—
792	#95	C₂³×C₇₃	1	1	yes	characteristic
793	#95	C₂³×C₇₃	1	1	yes	characteristic
794	#95	C₂³×C₇₃	1	2	yes	—
795	#95	C₂³×C₇₃	1	2	yes	—
796	#95	C₂³×C₇₃	1	1	yes	characteristic
797	#95	C₂³×C₇₃	1	1	yes	characteristic
798	#95	C₂³×C₇₃	1	1	yes	characteristic
799	#95	C₂³×C₇₃	1	2	yes	—
800	#95	C₂³×C₇₃	1	2	yes	—
801	#95	C₂³×C₇₃	1	2	yes	—
802	#95	C₂³×C₇₃	1	2	yes	—
803	C₂⁴	—	2	4	no	—
804	C₂⁴	—	2	4	no	—
805	C₂⁴	—	2	4	no	—
806	C₂⁴	—	4	2	no	—
807	C₂⁴	—	4	2	no	—
808	C₂⁴	—	4	2	no	—
809	C₂⁴	—	4	2	no	—
810	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
811	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
812	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
813	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
814	C₂×D₄	—	2	4	no	—
815	C₂×D₄	—	2	4	no	—
816	C₂×D₄	—	2	4	no	—
817	C₂×D₄	—	2	4	no	—
818	C₂×D₄	—	2	4	no	—
819	C₂×D₄	—	2	4	no	—
820	C₂×D₄	—	2	4	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	2	no	—
823	C₂×D₄	—	2	4	no	—
824	C₂×D₄	—	2	4	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	2	2	no	—
830	C₂×D₄	—	2	4	no	—
831	C₂×D₄	—	4	2	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	4	2	no	—
834	C₂×D₄	—	4	2	no	—
835	C₂×D₄	—	4	2	no	—
836	C₂×D₄	—	4	2	no	—
837	C₂×D₄	—	4	2	no	—
838	C₂×D₄	—	4	2	no	—
839	C₂×D₄	—	4	16	no	—
840	C₂×D₄	#41×C₇₃	1	4	yes	—
841	C₂×D₄	#41×C₇₃	1	4	yes	—
842	C₂²×C₄	—	2	4	no	—
843	C₂²×C₄	—	2	4	no	—
844	C₂²×C₄	—	2	2	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	4	no	—
847	C₂²×C₄	—	2	2	no	—
848	C₂²×C₄	—	2	4	no	—
849	C₂²×C₄	—	2	4	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	—	4	2	no	—
852	C₂²×C₄	—	4	2	no	—
853	C₂²×C₄	—	4	2	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	—	4	2	no	—
859	C₂²×C₄	—	4	2	no	—
860	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
862	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
863	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
864	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
865	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
866	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
867	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
868	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
869	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
870	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
871	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
872	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
873	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
874	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
876	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
877	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
878	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	2	4	no	—
885	C₄⋊C₄	—	2	2	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	—	2	2	no	—
889	C₄⋊C₄	—	2	2	no	—
890	C₄⋊C₄	—	2	2	no	—
891	C₄⋊C₄	—	4	2	no	—
892	C₄⋊C₄	—	4	2	no	—
893	C₄⋊C₄	—	4	2	no	—
894	C₄⋊C₄	—	4	2	no	—
895	C₄⋊C₄	—	4	2	no	—
896	C₄⋊C₄	—	4	2	no	—
897	C₂²⋊C₄	—	2	4	no	—
898	C₂²⋊C₄	—	2	4	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	4	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	4	no	—
906	C₂²⋊C₄	—	2	4	no	—
907	C₂²⋊C₄	—	2	4	no	—
908	C₂²⋊C₄	—	2	4	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	4	2	no	—
911	C₂²⋊C₄	—	4	2	no	—
912	C₂²⋊C₄	—	4	2	no	—
913	C₂²⋊C₄	—	4	2	no	—
914	C₂²⋊C₄	—	4	2	no	—
915	C₂²⋊C₄	—	4	2	no	—
916	C₂²⋊C₄	—	4	2	no	—
917	C₂²⋊C₄	—	4	2	no	—
918	C₂²⋊C₄	—	4	2	no	—
919	C₂²⋊C₄	—	4	2	no	—
920	C₂²⋊C₄	—	4	2	no	—
921	C₂²⋊C₄	—	4	2	no	—
922	C₂²⋊C₄	—	4	2	no	—
923	C₂²⋊C₄	—	4	2	no	—
924	C₂²⋊C₄	—	4	2	no	—
925	C₂²⋊C₄	—	4	2	no	—
926	C₂²⋊C₄	—	4	2	no	—
927	C₂²⋊C₄	—	4	2	no	—
928	C₂²⋊C₄	#41×C₇₃	1	4	yes	—
929	C₄²	—	2	2	no	—
930	C₄²	—	2	2	no	—
931	C₄²	—	2	2	no	—
932	C₄²	—	2	2	no	—
933	C₄²	—	2	2	no	—
934	C₄²	—	2	2	no	—
935	C₄²	—	2	2	no	—
936	C₄²	—	2	2	no	—
937	C₄²	—	2	2	no	—
938	C₄²	—	2	2	no	—
939	C₄²	—	4	2	no	—
940	C₄²	—	4	2	no	—
941	C₂³	—	2	2	no	—
942	C₂³	—	2	2	no	—
943	C₂³	—	2	1	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	2	no	—
947	C₂³	—	2	1	no	—
948	C₂³	—	2	1	no	—
949	C₂³	—	2	2	no	—
950	C₂³	—	2	2	no	—
951	C₂³	—	2	2	no	—
952	C₂³	—	2	1	no	—
953	C₂³	—	2	2	no	—
954	C₂³	—	2	2	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	1	no	—
959	C₂³	—	2	2	no	—
960	C₂³	—	2	2	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	2	2	no	—
963	C₂³	—	2	2	no	—
964	C₂³	—	2	2	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	4	8	no	—
967	C₂³	—	4	8	no	—
968	C₂³	—	4	8	no	—
969	C₂³	—	8	4	no	—
970	C₂³	—	8	4	no	—
971	C₂³	—	8	4	no	—
972	C₂³	—	8	4	no	—
973	C₂³	C₂×#41×C₇₃	1	2	yes	—
974	C₂³	C₂×#41×C₇₃	1	4	yes	—
975	C₂³	C₂×#41×C₇₃	1	4	yes	—
976	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
977	D₄	—	2	8	no	—
978	D₄	—	2	8	no	—
979	D₄	—	4	8	no	—
980	D₄	—	4	8	no	—
981	D₄	—	4	8	no	—
982	D₄	—	4	8	no	—
983	D₄	—	4	4	no	—
984	D₄	—	8	4	no	—
985	D₄	—	8	4	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	1	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	4	8	no	—
1036	C₂×C₄	—	4	4	no	—
1037	C₂×C₄	—	8	4	no	—
1038	C₂×C₄	—	8	4	no	—
1039	C₂×C₄	—	8	4	no	—
1040	C₂×C₄	—	8	4	no	—
1041	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1042	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1043	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1044	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1045	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1046	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1047	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1048	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1049	C₂²	—	2	4	no	—
1050	C₂²	—	2	4	no	—
1051	C₂²	—	2	4	no	—
1052	C₂²	—	2	4	no	—
1053	C₂²	—	2	2	no	—
1054	C₂²	—	2	2	no	—
1055	C₂²	—	2	2	no	—
1056	C₂²	—	2	4	no	—
1057	C₂²	—	2	4	no	—
1058	C₂²	—	4	1	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	—	4	2	no	—
1062	C₂²	—	4	2	no	—
1063	C₂²	—	4	1	no	—
1064	C₂²	—	4	1	no	—
1065	C₂²	—	4	2	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	4	2	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	4	2	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	—	8	16	no	—
1078	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1079	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1080	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1081	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1082	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1083	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1084	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1085	C₄	—	2	2	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	2	2	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	1	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	2	no	—
1094	C₄	—	4	1	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	2	no	—
1103	C₄	#551×C₇₃	1	4	yes	—
1104	C₂	—	4	2	no	—
1105	C₂	—	4	4	no	—
1106	C₂	—	4	4	no	—
1107	C₂	—	8	2	no	—
1108	C₂	C₂×#551×C₇₃	1	1	yes	characteristic
1109	C₂	C₇₃×#3481	1	1	yes	characteristic
1110	C₂	C₇₃×#3481	1	1	yes	characteristic
1111	C₂	C₇₃×#3508	1	1	yes	characteristic
1112	C₂	C₇₃×#3519	1	1	yes	characteristic
1113	C₂	C₇₃×#3519	1	1	yes	characteristic
1114	C₂	C₇₃×#3543	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×#2749	C₂	semidirect
2. C₇₃×#2685	C₂	semidirect
3. C₇₃×#2600	C₂	semidirect
4. C₇₃×#2566	C₂	semidirect
5. C₇₃×#2534	C₂	semidirect
6. C₇₃×#2497	C₂	semidirect
7. C₇₃×#2490	C₂	semidirect
8. C₇₃×#2471	C₂	semidirect
9. C₇₃×#2457	C₂	semidirect
10. C₇₃×#2454	C₂	semidirect
11. C₇₃×#2445	C₂	semidirect
12. C₇₃×#2445	C₂	semidirect
14. C₇₃×#2420	C₂	semidirect
15. C₇₃×#2411	C₂	semidirect
16. C₇₃×#2366	C₂	semidirect
17. C₇₃×#2358	C₂	semidirect
18. C₇₃×#2357	C₂	semidirect
19. D₄×C₂²⋊C₄×C₇₃	C₂	semidirect
20. D₄×C₂²⋊C₄×C₇₃	C₂	semidirect
21. C₄×#127×C₇₃	C₂	semidirect
22. C₄×#126×C₇₃	C₂	semidirect
23. C₇₃×#2293	C₂	semidirect
28. C₂×#125×C₇₃	C₂²	semidirect
29. C₂×#123×C₇₃	C₂²	semidirect
30. C₂×#123×C₇₃	C₂²	semidirect
38. C₂×C₄×D₄×C₇₃	C₂²	semidirect
39. C₂×C₄×D₄×C₇₃	C₂²	semidirect
40. C₂×C₄×D₄×C₇₃	C₂²	semidirect
41. C₂×C₄×D₄×C₇₃	C₂²	semidirect
42. C₂×#117×C₇₃	C₂²	semidirect
45. #400×C₇₃	C₂²	semidirect
46. #399×C₇₃	C₂²	semidirect
47. #397×C₇₃	C₂²	semidirect
48. #397×C₇₃	C₂²	semidirect
50. #396×C₇₃	C₂²	semidirect
51. #396×C₇₃	C₂²	semidirect
52. #396×C₇₃	C₂²	semidirect
55. #394×C₇₃	C₂²	semidirect
56. #394×C₇₃	C₂²	semidirect
57. #394×C₇₃	C₂²	semidirect
58. #394×C₇₃	C₂²	semidirect
68. #390×C₇₃	C₂²	semidirect
69. #390×C₇₃	C₂²	semidirect
70. #390×C₇₃	C₂²	semidirect
71. #390×C₇₃	C₂²	semidirect
72. #390×C₇₃	C₂²	semidirect
73. #390×C₇₃	C₂²	semidirect
74. #389×C₇₃	C₂²	semidirect
75. #389×C₇₃	C₂²	semidirect
76. #389×C₇₃	C₂²	semidirect
81. #388×C₇₃	C₂²	semidirect
82. #388×C₇₃	C₂²	semidirect
83. #388×C₇₃	C₂²	semidirect
84. #388×C₇₃	C₂²	semidirect
85. #388×C₇₃	C₂²	semidirect
86. #387×C₇₃	C₂²	semidirect
87. #387×C₇₃	C₂²	semidirect
88. #387×C₇₃	C₂²	semidirect
89. #387×C₇₃	C₂²	semidirect
95. #386×C₇₃	C₂²	semidirect
96. #386×C₇₃	C₂²	semidirect
97. #386×C₇₃	C₂²	semidirect
98. #386×C₇₃	C₂²	semidirect
99. #385×C₇₃	C₂²	semidirect
100. #385×C₇₃	C₂²	semidirect
101. #385×C₇₃	C₂²	semidirect
102. #384×C₇₃	C₂²	semidirect
103. #383×C₇₃	C₂²	semidirect
104. #382×C₇₃	C₂²	semidirect
105. #381×C₇₃	C₂²	semidirect
106. #381×C₇₃	C₂²	semidirect
109. #380×C₇₃	C₂²	semidirect
112. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
113. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
114. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
115. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
116. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
122. C₄³×C₇₃	C₂²	semidirect
546. #59480	C₇₃	direct (N × H)
558. #2749	C₂×C₇₃	semidirect
559. #2685	C₂×C₇₃	semidirect
560. #2600	C₂×C₇₃	semidirect
561. #2566	C₂×C₇₃	semidirect
562. #2534	C₂×C₇₃	semidirect
563. #2497	C₂×C₇₃	semidirect
564. #2490	C₂×C₇₃	semidirect
565. #2471	C₂×C₇₃	semidirect
566. #2457	C₂×C₇₃	semidirect
567. #2454	C₂×C₇₃	semidirect
568. #2445	C₂×C₇₃	semidirect
569. #2445	C₂×C₇₃	semidirect
571. #2420	C₂×C₇₃	semidirect
572. #2411	C₂×C₇₃	semidirect
573. #2366	C₂×C₇₃	semidirect
574. #2358	C₂×C₇₃	semidirect
575. #2357	C₂×C₇₃	semidirect
576. D₄×C₂²⋊C₄	C₂×C₇₃	semidirect
577. D₄×C₂²⋊C₄	C₂×C₇₃	semidirect
578. C₄×#127	C₂×C₇₃	semidirect
579. C₄×#126	C₂×C₇₃	semidirect
580. #2293	C₂×C₇₃	semidirect
581. C₇₃	#59480	direct (N × H)
586. C₂×#125	C₂²×C₇₃	semidirect
587. C₂×#123	C₂²×C₇₃	semidirect
588. C₂×#123	C₂²×C₇₃	semidirect
596. C₂×C₄×D₄	C₂²×C₇₃	semidirect
597. C₂×C₄×D₄	C₂²×C₇₃	semidirect
598. C₂×C₄×D₄	C₂²×C₇₃	semidirect
599. C₂×C₄×D₄	C₂²×C₇₃	semidirect
600. C₂×#117	C₂²×C₇₃	semidirect
603. #400	C₂²×C₇₃	semidirect
604. #399	C₂²×C₇₃	semidirect
605. #397	C₂²×C₇₃	semidirect
606. #397	C₂²×C₇₃	semidirect
608. #396	C₂²×C₇₃	semidirect
609. #396	C₂²×C₇₃	semidirect
610. #396	C₂²×C₇₃	semidirect
613. #394	C₂²×C₇₃	semidirect
614. #394	C₂²×C₇₃	semidirect
615. #394	C₂²×C₇₃	semidirect
616. #394	C₂²×C₇₃	semidirect
626. #390	C₂²×C₇₃	semidirect
627. #390	C₂²×C₇₃	semidirect
628. #390	C₂²×C₇₃	semidirect
629. #390	C₂²×C₇₃	semidirect
630. #390	C₂²×C₇₃	semidirect
631. #390	C₂²×C₇₃	semidirect
632. #389	C₂²×C₇₃	semidirect
633. #389	C₂²×C₇₃	semidirect
634. #389	C₂²×C₇₃	semidirect
639. #388	C₂²×C₇₃	semidirect
640. #388	C₂²×C₇₃	semidirect
641. #388	C₂²×C₇₃	semidirect
642. #388	C₂²×C₇₃	semidirect
643. #388	C₂²×C₇₃	semidirect
644. #387	C₂²×C₇₃	semidirect
645. #387	C₂²×C₇₃	semidirect
646. #387	C₂²×C₇₃	semidirect
647. #387	C₂²×C₇₃	semidirect
653. #386	C₂²×C₇₃	semidirect
654. #386	C₂²×C₇₃	semidirect
655. #386	C₂²×C₇₃	semidirect
656. #386	C₂²×C₇₃	semidirect
657. #385	C₂²×C₇₃	semidirect
658. #385	C₂²×C₇₃	semidirect
659. #385	C₂²×C₇₃	semidirect
660. #384	C₂²×C₇₃	semidirect
661. #383	C₂²×C₇₃	semidirect
662. #382	C₂²×C₇₃	semidirect
663. #381	C₂²×C₇₃	semidirect
664. #381	C₂²×C₇₃	semidirect
667. #380	C₂²×C₇₃	semidirect
670. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
671. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
672. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
673. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
674. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
678. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
679. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
680. C₄³	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×#2749	2
C₇₃×#2685	2
C₇₃×#2600	2
C₇₃×#2566	2
C₇₃×#2534	2
C₇₃×#2497	2
C₇₃×#2490	2
C₇₃×#2471	2
C₇₃×#2457	2
C₇₃×#2454	2
C₇₃×#2445	2
C₇₃×#2433	2
C₇₃×#2420	2
C₇₃×#2411	2
C₇₃×#2366	2
C₇₃×#2358	2
C₇₃×#2357	2
D₄×C₂²⋊C₄×C₇₃	2
C₄×#127×C₇₃	2
C₄×#126×C₇₃	2
C₇₃×#2293	2
#59480	73

Subgroups — C73×#59480 #32968884

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#59480 #32968884