Subgroups — C₇₃×#59424 #32968828

Order 18688.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1060 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#2786	C₂	1	2	yes	maximal, complemented
2	C₇₃×#2740	C₂	1	2	yes	maximal, complemented
3	C₇₃×#2601	C₂	1	2	yes	maximal, complemented
4	C₇₃×#2592	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#2560	C₂	1	2	yes	maximal, complemented
6	C₇₃×#2538	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#2512	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#2512	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#2502	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₃×#2480	C₂	1	2	yes	maximal, complemented
11	C₇₃×#2480	C₂	1	2	yes	maximal, complemented
12	C₇₃×#2448	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#2447	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#2437	C₂	1	2	yes	maximal, complemented
15	C₇₃×#2435	C₂	1	1	yes	maximal, characteristic
16	C₇₃×#2367	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#2354	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇₃×#2345	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#2342	C₂	1	2	yes	maximal, complemented
20	D₄×C₂²⋊C₄×C₇₃	C₂	1	1	yes	maximal, characteristic
21	C₄×C₂²⋊Q₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₂²⋊Q₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#390×C₇₃	C₂	1	1	yes	maximal, characteristic
24	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic
25	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
26	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
27	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
28	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
29	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
30	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
31	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	complemented
32	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
36	C₂×#117×C₇₃	C₂²	1	2	yes	complemented
37	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
38	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
39	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
40	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
41	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
42	#399×C₇₃	C₂²	1	2	yes	complemented
43	#398×C₇₃	C₂²	1	2	yes	complemented
44	#398×C₇₃	C₂²	1	2	yes	complemented
45	#397×C₇₃	C₂²	1	2	yes	complemented
46	#397×C₇₃	C₂²	1	2	yes	complemented
47	#397×C₇₃	C₂²	1	2	yes	complemented
48	#397×C₇₃	C₂²	1	2	yes	complemented
49	#397×C₇₃	C₂²	1	2	yes	complemented
50	#397×C₇₃	C₂²	1	2	yes	complemented
51	#396×C₇₃	C₂²	1	2	yes	complemented
52	#396×C₇₃	C₂²	1	2	yes	complemented
53	#396×C₇₃	C₂²	1	2	yes	complemented
54	#396×C₇₃	C₂²	1	2	yes	complemented
55	#394×C₇₃	C₂²	1	2	yes	—
56	#394×C₇₃	C₂²	1	2	yes	—
57	#393×C₇₃	C₂²	1	2	yes	complemented
58	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
59	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
60	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
61	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
62	#390×C₇₃	C₂²	1	1	yes	characteristic
63	#390×C₇₃	C₂²	1	1	yes	characteristic
64	#390×C₇₃	C₂²	1	1	yes	characteristic
65	#390×C₇₃	C₂²	1	2	yes	—
66	#390×C₇₃	C₂²	1	1	yes	characteristic
67	#390×C₇₃	C₂²	1	1	yes	characteristic
68	#390×C₇₃	C₂²	1	1	yes	characteristic
69	#390×C₇₃	C₂²	1	1	yes	characteristic
70	#390×C₇₃	C₂²	1	2	yes	—
71	#390×C₇₃	C₂²	1	1	yes	characteristic
72	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
73	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
74	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
75	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
76	#388×C₇₃	C₂²	1	2	yes	complemented
77	#388×C₇₃	C₂²	1	2	yes	complemented
78	#388×C₇₃	C₂²	1	2	yes	complemented
79	#388×C₇₃	C₂²	1	2	yes	complemented
80	#388×C₇₃	C₂²	1	2	yes	complemented
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	2	yes	complemented
88	#387×C₇₃	C₂²	1	2	yes	complemented
89	#387×C₇₃	C₂²	1	1	yes	characteristic, complemented
90	#387×C₇₃	C₂²	1	2	yes	complemented
91	#386×C₇₃	C₂²	1	2	yes	—
92	#386×C₇₃	C₂²	1	2	yes	—
93	#385×C₇₃	C₂²	1	2	yes	—
94	#385×C₇₃	C₂²	1	1	yes	characteristic
95	#385×C₇₃	C₂²	1	2	yes	—
96	#385×C₇₃	C₂²	1	2	yes	—
97	#385×C₇₃	C₂²	1	1	yes	characteristic
98	#385×C₇₃	C₂²	1	2	yes	complemented
99	#385×C₇₃	C₂²	1	2	yes	complemented
100	#384×C₇₃	C₂²	1	1	yes	characteristic, complemented
101	#384×C₇₃	C₂²	1	1	yes	characteristic, complemented
102	#381×C₇₃	C₂²	1	2	yes	complemented
103	#380×C₇₃	C₂²	1	1	yes	characteristic
104	#380×C₇₃	C₂²	1	2	yes	—
105	#380×C₇₃	C₂²	1	1	yes	characteristic
106	#380×C₇₃	C₂²	1	2	yes	complemented
107	#380×C₇₃	C₂²	1	2	yes	complemented
108	#379×C₇₃	C₂²	1	2	yes	—
109	#379×C₇₃	C₂²	1	2	yes	—
110	#379×C₇₃	C₂²	1	2	yes	—
111	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
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	2	yes	complemented
117	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
119	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
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	complemented
123	C₂⁵×C₇₃	C₂³	1	2	yes	—
124	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
125	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₇₃	—	2	4	no	—
127	C₂²×D₄×C₇₃	—	2	4	no	—
128	C₂²×D₄×C₇₃	—	4	2	no	—
129	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
131	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
135	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
137	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
138	#126×C₇₃	—	4	4	no	—
139	#126×C₇₃	—	4	4	no	—
140	#124×C₇₃	—	2	4	no	—
141	#124×C₇₃	—	4	2	no	—
142	C₂²⋊Q₈×C₇₃	—	2	4	no	—
143	C₂²⋊Q₈×C₇₃	—	2	4	no	—
144	C₂²⋊Q₈×C₇₃	—	4	4	no	—
145	C₄×Q₈×C₇₃	—	4	2	no	—
146	C₄×Q₈×C₇₃	—	4	2	no	—
147	C₄×D₄×C₇₃	—	2	4	no	—
148	C₄×D₄×C₇₃	—	4	2	no	—
149	#117×C₇₃	—	4	4	no	—
150	C₂×C₄⋊C₄×C₇₃	—	2	4	no	—
151	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
152	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
153	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
154	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
155	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
156	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
157	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
158	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
159	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
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	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	1	yes	characteristic
175	C₂×C₂²⋊C₄×C₇₃	—	2	8	no	—
176	C₂×C₂²⋊C₄×C₇₃	—	4	4	no	—
177	C₂×C₂²⋊C₄×C₇₃	—	4	4	no	—
178	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
182	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
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×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	1	yes	characteristic
206	C₂×C₄²×C₇₃	—	4	2	no	—
207	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
210	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×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	2	yes	—
215	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
216	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
217	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
219	#95×C₇₃	C₂³	1	2	yes	—
220	#95×C₇₃	C₂³	1	2	yes	—
221	#95×C₇₃	C₂³	1	2	yes	—
222	#95×C₇₃	C₂³	1	2	yes	—
223	#95×C₇₃	C₂³	1	1	yes	characteristic
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	2	yes	—
229	#95×C₇₃	C₂³	1	2	yes	—
230	#95×C₇₃	C₂³	1	2	yes	—
231	#95×C₇₃	C₂³	1	2	yes	—
232	#95×C₇₃	C₂³	1	1	yes	characteristic
233	#95×C₇₃	C₂³	1	1	yes	characteristic
234	#95×C₇₃	C₂³	1	2	yes	—
235	#95×C₇₃	C₂³	1	1	yes	characteristic
236	#95×C₇₃	C₂³	1	2	yes	—
237	#95×C₇₃	C₂³	1	1	yes	characteristic
238	#95×C₇₃	C₂³	1	1	yes	characteristic
239	#95×C₇₃	C₂³	1	2	yes	—
240	#95×C₇₃	C₂³	1	2	yes	—
241	#95×C₇₃	C₂³	1	2	yes	—
242	C₂⁴×C₇₃	—	2	4	no	—
243	C₂⁴×C₇₃	—	2	4	no	—
244	C₂⁴×C₇₃	—	2	4	no	—
245	C₂⁴×C₇₃	—	2	4	no	—
246	C₂⁴×C₇₃	—	4	2	no	—
247	C₂⁴×C₇₃	—	4	2	no	—
248	C₂⁴×C₇₃	—	4	2	no	—
249	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
250	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
251	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
252	C₂×Q₈×C₇₃	—	2	2	no	—
253	C₂×Q₈×C₇₃	—	2	2	no	—
254	C₂×Q₈×C₇₃	—	2	2	no	—
255	C₂×Q₈×C₇₃	—	2	2	no	—
256	C₂×Q₈×C₇₃	—	2	2	no	—
257	C₂×Q₈×C₇₃	—	4	1	no	—
258	C₂×D₄×C₇₃	—	2	4	no	—
259	C₂×D₄×C₇₃	—	2	2	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	—	2	2	no	—
264	C₂×D₄×C₇₃	—	2	2	no	—
265	C₂×D₄×C₇₃	—	4	16	no	—
266	C₂×D₄×C₇₃	—	4	2	no	—
267	C₂×D₄×C₇₃	#41	1	4	yes	—
268	C₂²×C₄×C₇₃	—	2	2	no	—
269	C₂²×C₄×C₇₃	—	2	2	no	—
270	C₂²×C₄×C₇₃	—	2	4	no	—
271	C₂²×C₄×C₇₃	—	2	2	no	—
272	C₂²×C₄×C₇₃	—	2	2	no	—
273	C₂²×C₄×C₇₃	—	2	4	no	—
274	C₂²×C₄×C₇₃	—	2	4	no	—
275	C₂²×C₄×C₇₃	—	2	2	no	—
276	C₂²×C₄×C₇₃	—	2	2	no	—
277	C₂²×C₄×C₇₃	—	2	4	no	—
278	C₂²×C₄×C₇₃	—	4	1	no	—
279	C₂²×C₄×C₇₃	—	4	1	no	—
280	C₂²×C₄×C₇₃	—	4	2	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	#41	1	4	yes	—
286	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
287	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
291	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
293	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
294	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
295	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₇₃	—	2	4	no	—
307	C₄⋊C₄×C₇₃	—	2	2	no	—
308	C₄⋊C₄×C₇₃	—	2	2	no	—
309	C₄⋊C₄×C₇₃	—	2	2	no	—
310	C₄⋊C₄×C₇₃	—	2	2	no	—
311	C₄⋊C₄×C₇₃	—	2	2	no	—
312	C₄⋊C₄×C₇₃	—	2	4	no	—
313	C₄⋊C₄×C₇₃	—	2	2	no	—
314	C₄⋊C₄×C₇₃	—	2	2	no	—
315	C₄⋊C₄×C₇₃	—	2	2	no	—
316	C₄⋊C₄×C₇₃	—	2	2	no	—
317	C₄⋊C₄×C₇₃	—	2	4	no	—
318	C₄⋊C₄×C₇₃	—	2	2	no	—
319	C₄⋊C₄×C₇₃	—	2	2	no	—
320	C₄⋊C₄×C₇₃	—	4	2	no	—
321	C₄⋊C₄×C₇₃	—	4	1	no	—
322	C₄⋊C₄×C₇₃	—	4	1	no	—
323	C₄⋊C₄×C₇₃	—	4	1	no	—
324	C₄⋊C₄×C₇₃	—	4	2	no	—
325	C₄⋊C₄×C₇₃	—	4	2	no	—
326	C₄⋊C₄×C₇₃	—	4	2	no	—
327	C₄⋊C₄×C₇₃	—	4	2	no	—
328	C₄⋊C₄×C₇₃	—	4	2	no	—
329	C₄⋊C₄×C₇₃	—	4	2	no	—
330	C₂²⋊C₄×C₇₃	—	2	4	no	—
331	C₂²⋊C₄×C₇₃	—	2	4	no	—
332	C₂²⋊C₄×C₇₃	—	2	2	no	—
333	C₂²⋊C₄×C₇₃	—	2	4	no	—
334	C₂²⋊C₄×C₇₃	—	2	4	no	—
335	C₂²⋊C₄×C₇₃	—	2	4	no	—
336	C₂²⋊C₄×C₇₃	—	2	2	no	—
337	C₂²⋊C₄×C₇₃	—	2	2	no	—
338	C₂²⋊C₄×C₇₃	—	2	4	no	—
339	C₂²⋊C₄×C₇₃	—	2	4	no	—
340	C₂²⋊C₄×C₇₃	—	2	4	no	—
341	C₂²⋊C₄×C₇₃	—	2	4	no	—
342	C₂²⋊C₄×C₇₃	—	2	4	no	—
343	C₂²⋊C₄×C₇₃	—	2	4	no	—
344	C₂²⋊C₄×C₇₃	—	4	2	no	—
345	C₂²⋊C₄×C₇₃	—	4	2	no	—
346	C₂²⋊C₄×C₇₃	—	4	2	no	—
347	C₂²⋊C₄×C₇₃	—	4	2	no	—
348	C₂²⋊C₄×C₇₃	—	4	2	no	—
349	C₂²⋊C₄×C₇₃	—	4	2	no	—
350	C₂²⋊C₄×C₇₃	—	4	2	no	—
351	C₂²⋊C₄×C₇₃	—	4	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	#41	1	4	yes	—
358	C₄²×C₇₃	—	2	2	no	—
359	C₄²×C₇₃	—	2	2	no	—
360	C₄²×C₇₃	—	2	2	no	—
361	C₄²×C₇₃	—	2	2	no	—
362	C₄²×C₇₃	—	2	4	no	—
363	C₄²×C₇₃	—	2	2	no	—
364	C₄²×C₇₃	—	2	2	no	—
365	C₄²×C₇₃	—	4	1	no	—
366	C₄²×C₇₃	—	4	1	no	—
367	C₄²×C₇₃	—	4	2	no	—
368	C₄²×C₇₃	—	4	2	no	—
369	C₄²×C₇₃	—	4	2	no	—
370	C₂³×C₇₃	—	2	1	no	—
371	C₂³×C₇₃	—	2	1	no	—
372	C₂³×C₇₃	—	2	1	no	—
373	C₂³×C₇₃	—	2	1	no	—
374	C₂³×C₇₃	—	2	2	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	—	2	2	no	—
382	C₂³×C₇₃	—	2	2	no	—
383	C₂³×C₇₃	—	2	2	no	—
384	C₂³×C₇₃	—	2	2	no	—
385	C₂³×C₇₃	—	2	2	no	—
386	C₂³×C₇₃	—	2	2	no	—
387	C₂³×C₇₃	—	4	8	no	—
388	C₂³×C₇₃	—	4	8	no	—
389	C₂³×C₇₃	—	4	8	no	—
390	C₂³×C₇₃	—	4	8	no	—
391	C₂³×C₇₃	—	8	4	no	—
392	C₂³×C₇₃	—	8	4	no	—
393	C₂³×C₇₃	—	8	4	no	—
394	C₂³×C₇₃	C₂×#41	1	4	yes	—
395	C₂³×C₇₃	C₂×#41	1	2	yes	—
396	C₂³×C₇₃	C₂×#41	1	2	yes	—
397	C₂³×C₇₃	2₋¹⁺⁴	1	2	yes	—
398	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
399	Q₈×C₇₃	—	4	4	no	—
400	Q₈×C₇₃	—	4	4	no	—
401	D₄×C₇₃	—	2	8	no	—
402	D₄×C₇₃	—	4	8	no	—
403	D₄×C₇₃	—	4	4	no	—
404	C₂×C₄×C₇₃	—	2	1	no	—
405	C₂×C₄×C₇₃	—	2	1	no	—
406	C₂×C₄×C₇₃	—	2	1	no	—
407	C₂×C₄×C₇₃	—	2	1	no	—
408	C₂×C₄×C₇₃	—	2	1	no	—
409	C₂×C₄×C₇₃	—	2	1	no	—
410	C₂×C₄×C₇₃	—	2	1	no	—
411	C₂×C₄×C₇₃	—	2	1	no	—
412	C₂×C₄×C₇₃	—	2	1	no	—
413	C₂×C₄×C₇₃	—	2	1	no	—
414	C₂×C₄×C₇₃	—	2	8	no	—
415	C₂×C₄×C₇₃	—	2	1	no	—
416	C₂×C₄×C₇₃	—	2	1	no	—
417	C₂×C₄×C₇₃	—	2	1	no	—
418	C₂×C₄×C₇₃	—	2	2	no	—
419	C₂×C₄×C₇₃	—	2	2	no	—
420	C₂×C₄×C₇₃	—	2	2	no	—
421	C₂×C₄×C₇₃	—	2	1	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	1	no	—
426	C₂×C₄×C₇₃	—	2	2	no	—
427	C₂×C₄×C₇₃	—	2	2	no	—
428	C₂×C₄×C₇₃	—	2	1	no	—
429	C₂×C₄×C₇₃	—	2	2	no	—
430	C₂×C₄×C₇₃	—	2	1	no	—
431	C₂×C₄×C₇₃	—	2	1	no	—
432	C₂×C₄×C₇₃	—	2	2	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	2	no	—
439	C₂×C₄×C₇₃	—	2	2	no	—
440	C₂×C₄×C₇₃	—	2	2	no	—
441	C₂×C₄×C₇₃	—	2	2	no	—
442	C₂×C₄×C₇₃	—	2	2	no	—
443	C₂×C₄×C₇₃	—	2	2	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	1	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	1	no	—
457	C₂×C₄×C₇₃	—	4	8	no	—
458	C₂×C₄×C₇₃	—	4	4	no	—
459	C₂×C₄×C₇₃	—	4	4	no	—
460	C₂×C₄×C₇₃	—	8	4	no	—
461	C₂×C₄×C₇₃	—	8	4	no	—
462	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
463	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
464	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
465	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
466	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
467	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
468	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
469	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
470	C₂²×C₇₃	—	2	2	no	—
471	C₂²×C₇₃	—	2	2	no	—
472	C₂²×C₇₃	—	2	2	no	—
473	C₂²×C₇₃	—	2	2	no	—
474	C₂²×C₇₃	—	2	2	no	—
475	C₂²×C₇₃	—	2	2	no	—
476	C₂²×C₇₃	—	2	4	no	—
477	C₂²×C₇₃	—	2	4	no	—
478	C₂²×C₇₃	—	2	4	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	2	no	—
484	C₂²×C₇₃	—	4	2	no	—
485	C₂²×C₇₃	—	4	2	no	—
486	C₂²×C₇₃	—	4	2	no	—
487	C₂²×C₇₃	—	4	2	no	—
488	C₂²×C₇₃	—	4	2	no	—
489	C₂²×C₇₃	—	4	2	no	—
490	C₂²×C₇₃	—	8	16	no	—
491	C₂²×C₇₃	#556	1	4	yes	—
492	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
493	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
494	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
495	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
496	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
497	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
498	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
499	C₄×C₇₃	—	2	2	no	—
500	C₄×C₇₃	—	2	2	no	—
501	C₄×C₇₃	—	2	2	no	—
502	C₄×C₇₃	—	2	2	no	—
503	C₄×C₇₃	—	2	2	no	—
504	C₄×C₇₃	—	4	2	no	—
505	C₄×C₇₃	—	4	1	no	—
506	C₄×C₇₃	—	4	2	no	—
507	C₄×C₇₃	—	4	2	no	—
508	C₄×C₇₃	—	4	2	no	—
509	C₄×C₇₃	—	4	2	no	—
510	C₄×C₇₃	—	4	1	no	—
511	C₄×C₇₃	—	4	2	no	—
512	C₄×C₇₃	—	4	1	no	—
513	C₄×C₇₃	—	4	1	no	—
514	C₄×C₇₃	—	4	1	no	—
515	C₄×C₇₃	—	4	1	no	—
516	C₄×C₇₃	—	4	1	no	—
517	C₄×C₇₃	—	4	1	no	—
518	C₄×C₇₃	#551	1	4	yes	—
519	#59424	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
520	C₂×C₇₃	—	2	4	no	—
521	C₂×C₇₃	—	4	4	no	—
522	C₂×C₇₃	—	8	2	no	—
523	C₂×C₇₃	C₂×#551	1	1	yes	characteristic
524	C₂×C₇₃	C₂×#556	1	1	yes	characteristic
525	C₂×C₇₃	#3481	1	1	yes	characteristic
526	C₂×C₇₃	#3508	1	1	yes	characteristic
527	C₂×C₇₃	#3519	1	1	yes	characteristic
528	C₂×C₇₃	#3520	1	1	yes	characteristic
529	C₂×C₇₃	#3536	1	1	yes	characteristic
530	#2786	C₂×C₇₃	1	2	yes	complemented
531	#2740	C₂×C₇₃	1	2	yes	complemented
532	#2601	C₂×C₇₃	1	2	yes	complemented
533	#2592	C₂×C₇₃	1	1	yes	characteristic, complemented
534	#2560	C₂×C₇₃	1	2	yes	complemented
535	#2538	C₂×C₇₃	1	1	yes	characteristic, complemented
536	#2512	C₂×C₇₃	1	1	yes	characteristic, complemented
537	#2512	C₂×C₇₃	1	1	yes	characteristic, complemented
538	#2502	C₂×C₇₃	1	1	yes	characteristic, complemented
539	#2480	C₂×C₇₃	1	2	yes	complemented
540	#2480	C₂×C₇₃	1	2	yes	complemented
541	#2448	C₂×C₇₃	1	1	yes	characteristic, complemented
542	#2447	C₂×C₇₃	1	1	yes	characteristic, complemented
543	#2437	C₂×C₇₃	1	2	yes	complemented
544	#2435	C₂×C₇₃	1	1	yes	characteristic
545	#2367	C₂×C₇₃	1	1	yes	characteristic, complemented
546	#2354	C₂×C₇₃	1	1	yes	characteristic, complemented
547	#2345	C₂×C₇₃	1	1	yes	characteristic, complemented
548	#2342	C₂×C₇₃	1	2	yes	complemented
549	D₄×C₂²⋊C₄	C₂×C₇₃	1	1	yes	characteristic
550	C₄×C₂²⋊Q₈	C₂×C₇₃	1	1	yes	characteristic, complemented
551	C₄×C₂²⋊Q₈	C₂×C₇₃	1	1	yes	characteristic, complemented
552	C₂×#390	C₂×C₇₃	1	1	yes	characteristic
553	C₇₃	#59424	1	1	yes	characteristic, direct product factor, Sylow
554	C₂³×D₄	C₂²×C₇₃	1	1	yes	characteristic
555	C₂×#126	C₂²×C₇₃	1	2	yes	complemented
556	C₂×#126	C₂²×C₇₃	1	2	yes	complemented
557	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
558	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
559	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
560	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
561	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	complemented
562	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
563	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
564	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
565	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
566	C₂×#117	C₂²×C₇₃	1	2	yes	complemented
567	C₂²×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
568	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
569	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
570	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
571	C₂²×C₄²	C₂²×C₇₃	1	1	yes	characteristic
572	#399	C₂²×C₇₃	1	2	yes	complemented
573	#398	C₂²×C₇₃	1	2	yes	complemented
574	#398	C₂²×C₇₃	1	2	yes	complemented
575	#397	C₂²×C₇₃	1	2	yes	complemented
576	#397	C₂²×C₇₃	1	2	yes	complemented
577	#397	C₂²×C₇₃	1	2	yes	complemented
578	#397	C₂²×C₇₃	1	2	yes	complemented
579	#397	C₂²×C₇₃	1	2	yes	complemented
580	#397	C₂²×C₇₃	1	2	yes	complemented
581	#396	C₂²×C₇₃	1	2	yes	complemented
582	#396	C₂²×C₇₃	1	2	yes	complemented
583	#396	C₂²×C₇₃	1	2	yes	complemented
584	#396	C₂²×C₇₃	1	2	yes	complemented
585	#394	C₂²×C₇₃	1	2	yes	—
586	#394	C₂²×C₇₃	1	2	yes	—
587	#393	C₂²×C₇₃	1	2	yes	complemented
588	#391	C₂²×C₇₃	1	1	yes	characteristic, complemented
589	#391	C₂²×C₇₃	1	1	yes	characteristic, complemented
590	#391	C₂²×C₇₃	1	1	yes	characteristic, complemented
591	#391	C₂²×C₇₃	1	1	yes	characteristic, complemented
592	#390	C₂²×C₇₃	1	2	yes	—
593	#390	C₂²×C₇₃	1	1	yes	characteristic
594	#390	C₂²×C₇₃	1	1	yes	characteristic
595	#390	C₂²×C₇₃	1	1	yes	characteristic
596	#390	C₂²×C₇₃	1	1	yes	characteristic
597	#390	C₂²×C₇₃	1	1	yes	characteristic
598	#390	C₂²×C₇₃	1	1	yes	characteristic
599	#390	C₂²×C₇₃	1	1	yes	characteristic
600	#390	C₂²×C₇₃	1	1	yes	characteristic
601	#390	C₂²×C₇₃	1	2	yes	—
602	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
603	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
604	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
605	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
606	#388	C₂²×C₇₃	1	2	yes	complemented
607	#388	C₂²×C₇₃	1	2	yes	complemented
608	#388	C₂²×C₇₃	1	2	yes	complemented
609	#388	C₂²×C₇₃	1	2	yes	complemented
610	#388	C₂²×C₇₃	1	2	yes	complemented
611	#388	C₂²×C₇₃	1	2	yes	complemented
612	#388	C₂²×C₇₃	1	2	yes	complemented
613	#388	C₂²×C₇₃	1	2	yes	complemented
614	#388	C₂²×C₇₃	1	2	yes	complemented
615	#388	C₂²×C₇₃	1	2	yes	complemented
616	#387	C₂²×C₇₃	1	2	yes	complemented
617	#387	C₂²×C₇₃	1	2	yes	complemented
618	#387	C₂²×C₇₃	1	1	yes	characteristic, complemented
619	#387	C₂²×C₇₃	1	2	yes	complemented
620	#387	C₂²×C₇₃	1	1	yes	characteristic, complemented
621	#386	C₂²×C₇₃	1	2	yes	—
622	#386	C₂²×C₇₃	1	2	yes	—
623	#385	C₂²×C₇₃	1	1	yes	characteristic
624	#385	C₂²×C₇₃	1	2	yes	—
625	#385	C₂²×C₇₃	1	2	yes	—
626	#385	C₂²×C₇₃	1	2	yes	—
627	#385	C₂²×C₇₃	1	1	yes	characteristic
628	#385	C₂²×C₇₃	1	2	yes	complemented
629	#385	C₂²×C₇₃	1	2	yes	complemented
630	#384	C₂²×C₇₃	1	1	yes	characteristic, complemented
631	#384	C₂²×C₇₃	1	1	yes	characteristic, complemented
632	#381	C₂²×C₇₃	1	2	yes	complemented
633	#380	C₂²×C₇₃	1	1	yes	characteristic
634	#380	C₂²×C₇₃	1	2	yes	—
635	#380	C₂²×C₇₃	1	1	yes	characteristic
636	#380	C₂²×C₇₃	1	2	yes	complemented
637	#380	C₂²×C₇₃	1	2	yes	complemented
638	#379	C₂²×C₇₃	1	2	yes	—
639	#379	C₂²×C₇₃	1	2	yes	—
640	#379	C₂²×C₇₃	1	2	yes	—
641	C₄×C₄⋊C₄	C₂²×C₇₃	1	2	yes	complemented
642	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
643	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
644	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
645	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
646	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
647	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
648	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
649	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
650	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
651	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
652	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
653	C₂⁵	C₂³×C₇₃	1	2	yes	—
654	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
655	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
656	C₂²×D₄	—	2	4	no	—
657	C₂²×D₄	—	2	4	no	—
658	C₂²×D₄	—	4	2	no	—
659	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
660	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
661	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
662	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
663	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
664	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
665	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
666	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
667	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
668	#126	—	4	4	no	—
669	#126	—	4	4	no	—
670	#124	—	2	4	no	—
671	#124	—	4	2	no	—
672	C₂²⋊Q₈	—	2	4	no	—
673	C₂²⋊Q₈	—	2	4	no	—
674	C₂²⋊Q₈	—	4	4	no	—
675	C₄×Q₈	—	4	2	no	—
676	C₄×Q₈	—	4	2	no	—
677	C₄×D₄	—	2	4	no	—
678	C₄×D₄	—	4	2	no	—
679	#117	—	4	4	no	—
680	C₂×C₄⋊C₄	—	2	4	no	—
681	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
682	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
684	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
686	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
687	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
688	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
690	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
699	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
700	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
701	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
702	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
703	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
704	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
705	C₂×C₂²⋊C₄	—	2	8	no	—
706	C₂×C₂²⋊C₄	—	4	4	no	—
707	C₂×C₂²⋊C₄	—	4	4	no	—
708	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
709	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
721	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
722	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
723	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
724	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
726	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
727	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
728	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
729	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
730	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
731	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
732	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
733	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
734	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
736	C₂×C₄²	—	4	2	no	—
737	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
738	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
739	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
740	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
741	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
742	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
743	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
744	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
745	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
746	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
747	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
748	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
749	#95	C₂³×C₇₃	1	2	yes	—
750	#95	C₂³×C₇₃	1	2	yes	—
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	1	yes	characteristic
756	#95	C₂³×C₇₃	1	1	yes	characteristic
757	#95	C₂³×C₇₃	1	1	yes	characteristic
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	#95	C₂³×C₇₃	1	1	yes	characteristic
763	#95	C₂³×C₇₃	1	1	yes	characteristic
764	#95	C₂³×C₇₃	1	2	yes	—
765	#95	C₂³×C₇₃	1	1	yes	characteristic
766	#95	C₂³×C₇₃	1	2	yes	—
767	#95	C₂³×C₇₃	1	1	yes	characteristic
768	#95	C₂³×C₇₃	1	1	yes	characteristic
769	#95	C₂³×C₇₃	1	2	yes	—
770	#95	C₂³×C₇₃	1	2	yes	—
771	#95	C₂³×C₇₃	1	2	yes	—
772	C₂⁴	—	2	4	no	—
773	C₂⁴	—	2	4	no	—
774	C₂⁴	—	2	4	no	—
775	C₂⁴	—	2	4	no	—
776	C₂⁴	—	4	2	no	—
777	C₂⁴	—	4	2	no	—
778	C₂⁴	—	4	2	no	—
779	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
780	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
781	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
782	C₂×Q₈	—	2	2	no	—
783	C₂×Q₈	—	2	2	no	—
784	C₂×Q₈	—	2	2	no	—
785	C₂×Q₈	—	2	2	no	—
786	C₂×Q₈	—	2	2	no	—
787	C₂×Q₈	—	4	1	no	—
788	C₂×D₄	—	2	4	no	—
789	C₂×D₄	—	2	2	no	—
790	C₂×D₄	—	2	4	no	—
791	C₂×D₄	—	2	2	no	—
792	C₂×D₄	—	2	2	no	—
793	C₂×D₄	—	2	2	no	—
794	C₂×D₄	—	2	2	no	—
795	C₂×D₄	—	4	16	no	—
796	C₂×D₄	—	4	2	no	—
797	C₂×D₄	#41×C₇₃	1	4	yes	—
798	C₂²×C₄	—	2	2	no	—
799	C₂²×C₄	—	2	2	no	—
800	C₂²×C₄	—	2	4	no	—
801	C₂²×C₄	—	2	2	no	—
802	C₂²×C₄	—	2	2	no	—
803	C₂²×C₄	—	2	4	no	—
804	C₂²×C₄	—	2	4	no	—
805	C₂²×C₄	—	2	2	no	—
806	C₂²×C₄	—	2	2	no	—
807	C₂²×C₄	—	2	4	no	—
808	C₂²×C₄	—	4	1	no	—
809	C₂²×C₄	—	4	1	no	—
810	C₂²×C₄	—	4	2	no	—
811	C₂²×C₄	—	4	2	no	—
812	C₂²×C₄	—	4	2	no	—
813	C₂²×C₄	—	4	2	no	—
814	C₂²×C₄	—	4	2	no	—
815	C₂²×C₄	#41×C₇₃	1	4	yes	—
816	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
817	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
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	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
825	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
826	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
827	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
828	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
829	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
830	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
831	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
832	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
833	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
834	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
835	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
836	C₄⋊C₄	—	2	4	no	—
837	C₄⋊C₄	—	2	2	no	—
838	C₄⋊C₄	—	2	2	no	—
839	C₄⋊C₄	—	2	2	no	—
840	C₄⋊C₄	—	2	2	no	—
841	C₄⋊C₄	—	2	2	no	—
842	C₄⋊C₄	—	2	4	no	—
843	C₄⋊C₄	—	2	2	no	—
844	C₄⋊C₄	—	2	2	no	—
845	C₄⋊C₄	—	2	2	no	—
846	C₄⋊C₄	—	2	2	no	—
847	C₄⋊C₄	—	2	4	no	—
848	C₄⋊C₄	—	2	2	no	—
849	C₄⋊C₄	—	2	2	no	—
850	C₄⋊C₄	—	4	2	no	—
851	C₄⋊C₄	—	4	1	no	—
852	C₄⋊C₄	—	4	1	no	—
853	C₄⋊C₄	—	4	1	no	—
854	C₄⋊C₄	—	4	2	no	—
855	C₄⋊C₄	—	4	2	no	—
856	C₄⋊C₄	—	4	2	no	—
857	C₄⋊C₄	—	4	2	no	—
858	C₄⋊C₄	—	4	2	no	—
859	C₄⋊C₄	—	4	2	no	—
860	C₂²⋊C₄	—	2	4	no	—
861	C₂²⋊C₄	—	2	4	no	—
862	C₂²⋊C₄	—	2	2	no	—
863	C₂²⋊C₄	—	2	4	no	—
864	C₂²⋊C₄	—	2	4	no	—
865	C₂²⋊C₄	—	2	4	no	—
866	C₂²⋊C₄	—	2	2	no	—
867	C₂²⋊C₄	—	2	2	no	—
868	C₂²⋊C₄	—	2	4	no	—
869	C₂²⋊C₄	—	2	4	no	—
870	C₂²⋊C₄	—	2	4	no	—
871	C₂²⋊C₄	—	2	4	no	—
872	C₂²⋊C₄	—	2	4	no	—
873	C₂²⋊C₄	—	2	4	no	—
874	C₂²⋊C₄	—	4	2	no	—
875	C₂²⋊C₄	—	4	2	no	—
876	C₂²⋊C₄	—	4	2	no	—
877	C₂²⋊C₄	—	4	2	no	—
878	C₂²⋊C₄	—	4	2	no	—
879	C₂²⋊C₄	—	4	2	no	—
880	C₂²⋊C₄	—	4	2	no	—
881	C₂²⋊C₄	—	4	2	no	—
882	C₂²⋊C₄	—	4	2	no	—
883	C₂²⋊C₄	—	4	2	no	—
884	C₂²⋊C₄	—	4	2	no	—
885	C₂²⋊C₄	—	4	2	no	—
886	C₂²⋊C₄	—	4	2	no	—
887	C₂²⋊C₄	#41×C₇₃	1	4	yes	—
888	C₄²	—	2	2	no	—
889	C₄²	—	2	2	no	—
890	C₄²	—	2	2	no	—
891	C₄²	—	2	2	no	—
892	C₄²	—	2	4	no	—
893	C₄²	—	2	2	no	—
894	C₄²	—	2	2	no	—
895	C₄²	—	4	1	no	—
896	C₄²	—	4	1	no	—
897	C₄²	—	4	2	no	—
898	C₄²	—	4	2	no	—
899	C₄²	—	4	2	no	—
900	C₂³	—	2	1	no	—
901	C₂³	—	2	1	no	—
902	C₂³	—	2	1	no	—
903	C₂³	—	2	1	no	—
904	C₂³	—	2	2	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	2	no	—
907	C₂³	—	2	2	no	—
908	C₂³	—	2	2	no	—
909	C₂³	—	2	2	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	2	no	—
912	C₂³	—	2	2	no	—
913	C₂³	—	2	2	no	—
914	C₂³	—	2	2	no	—
915	C₂³	—	2	2	no	—
916	C₂³	—	2	2	no	—
917	C₂³	—	4	8	no	—
918	C₂³	—	4	8	no	—
919	C₂³	—	4	8	no	—
920	C₂³	—	4	8	no	—
921	C₂³	—	8	4	no	—
922	C₂³	—	8	4	no	—
923	C₂³	—	8	4	no	—
924	C₂³	C₂×#41×C₇₃	1	4	yes	—
925	C₂³	C₂×#41×C₇₃	1	2	yes	—
926	C₂³	C₂×#41×C₇₃	1	2	yes	—
927	C₂³	2₋¹⁺⁴×C₇₃	1	2	yes	—
928	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
929	Q₈	—	4	4	no	—
930	Q₈	—	4	4	no	—
931	D₄	—	2	8	no	—
932	D₄	—	4	8	no	—
933	D₄	—	4	4	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	1	no	—
936	C₂×C₄	—	2	1	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	1	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	8	no	—
945	C₂×C₄	—	2	1	no	—
946	C₂×C₄	—	2	1	no	—
947	C₂×C₄	—	2	1	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	2	no	—
955	C₂×C₄	—	2	1	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	1	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	1	no	—
962	C₂×C₄	—	2	2	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	4	8	no	—
988	C₂×C₄	—	4	4	no	—
989	C₂×C₄	—	4	4	no	—
990	C₂×C₄	—	8	4	no	—
991	C₂×C₄	—	8	4	no	—
992	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
993	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
994	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
995	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
996	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
997	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
998	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
999	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1000	C₂²	—	2	2	no	—
1001	C₂²	—	2	2	no	—
1002	C₂²	—	2	2	no	—
1003	C₂²	—	2	2	no	—
1004	C₂²	—	2	2	no	—
1005	C₂²	—	2	2	no	—
1006	C₂²	—	2	4	no	—
1007	C₂²	—	2	4	no	—
1008	C₂²	—	2	4	no	—
1009	C₂²	—	4	2	no	—
1010	C₂²	—	4	2	no	—
1011	C₂²	—	4	2	no	—
1012	C₂²	—	4	2	no	—
1013	C₂²	—	4	2	no	—
1014	C₂²	—	4	2	no	—
1015	C₂²	—	4	2	no	—
1016	C₂²	—	4	2	no	—
1017	C₂²	—	4	2	no	—
1018	C₂²	—	4	2	no	—
1019	C₂²	—	4	2	no	—
1020	C₂²	—	8	16	no	—
1021	C₂²	#556×C₇₃	1	4	yes	—
1022	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1023	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1024	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1025	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1026	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1027	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1028	C₂²	C₂×2₋¹⁺⁴×C₇₃	1	1	yes	characteristic
1029	C₄	—	2	2	no	—
1030	C₄	—	2	2	no	—
1031	C₄	—	2	2	no	—
1032	C₄	—	2	2	no	—
1033	C₄	—	2	2	no	—
1034	C₄	—	4	2	no	—
1035	C₄	—	4	2	no	—
1036	C₄	—	4	1	no	—
1037	C₄	—	4	2	no	—
1038	C₄	—	4	2	no	—
1039	C₄	—	4	2	no	—
1040	C₄	—	4	1	no	—
1041	C₄	—	4	2	no	—
1042	C₄	—	4	1	no	—
1043	C₄	—	4	1	no	—
1044	C₄	—	4	1	no	—
1045	C₄	—	4	1	no	—
1046	C₄	—	4	1	no	—
1047	C₄	—	4	1	no	—
1048	C₄	#551×C₇₃	1	4	yes	—
1049	C₂	—	2	4	no	—
1050	C₂	—	4	4	no	—
1051	C₂	—	8	2	no	—
1052	C₂	C₂×#551×C₇₃	1	1	yes	characteristic
1053	C₂	C₂×#556×C₇₃	1	1	yes	characteristic
1054	C₂	C₇₃×#3481	1	1	yes	characteristic
1055	C₂	C₇₃×#3508	1	1	yes	characteristic
1056	C₂	C₇₃×#3519	1	1	yes	characteristic
1057	C₂	C₇₃×#3520	1	1	yes	characteristic
1058	C₂	C₇₃×#3536	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₃
prime radical	C₂³×D₄×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. C₇₃×#2786	C₂	semidirect
2. C₇₃×#2740	C₂	semidirect
3. C₇₃×#2601	C₂	semidirect
4. C₇₃×#2592	C₂	semidirect
5. C₇₃×#2560	C₂	semidirect
6. C₇₃×#2538	C₂	semidirect
7. C₇₃×#2512	C₂	semidirect
8. C₇₃×#2512	C₂	semidirect
9. C₇₃×#2502	C₂	semidirect
10. C₇₃×#2480	C₂	semidirect
11. C₇₃×#2480	C₂	semidirect
12. C₇₃×#2448	C₂	semidirect
13. C₇₃×#2447	C₂	semidirect
14. C₇₃×#2437	C₂	semidirect
16. C₇₃×#2367	C₂	semidirect
17. C₇₃×#2354	C₂	semidirect
18. C₇₃×#2345	C₂	semidirect
19. C₇₃×#2342	C₂	semidirect
21. C₄×C₂²⋊Q₈×C₇₃	C₂	semidirect
22. C₄×C₂²⋊Q₈×C₇₃	C₂	semidirect
25. C₂×#126×C₇₃	C₂²	semidirect
26. C₂×#126×C₇₃	C₂²	semidirect
31. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
32. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
33. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
36. C₂×#117×C₇₃	C₂²	semidirect
42. #399×C₇₃	C₂²	semidirect
43. #398×C₇₃	C₂²	semidirect
44. #398×C₇₃	C₂²	semidirect
45. #397×C₇₃	C₂²	semidirect
46. #397×C₇₃	C₂²	semidirect
47. #397×C₇₃	C₂²	semidirect
48. #397×C₇₃	C₂²	semidirect
49. #397×C₇₃	C₂²	semidirect
50. #397×C₇₃	C₂²	semidirect
51. #396×C₇₃	C₂²	semidirect
52. #396×C₇₃	C₂²	semidirect
53. #396×C₇₃	C₂²	semidirect
54. #396×C₇₃	C₂²	semidirect
57. #393×C₇₃	C₂²	semidirect
58. #391×C₇₃	C₂²	semidirect
59. #391×C₇₃	C₂²	semidirect
60. #391×C₇₃	C₂²	semidirect
61. #391×C₇₃	C₂²	semidirect
72. #389×C₇₃	C₂²	semidirect
73. #389×C₇₃	C₂²	semidirect
74. #389×C₇₃	C₂²	semidirect
75. #389×C₇₃	C₂²	semidirect
76. #388×C₇₃	C₂²	semidirect
77. #388×C₇₃	C₂²	semidirect
78. #388×C₇₃	C₂²	semidirect
79. #388×C₇₃	C₂²	semidirect
80. #388×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
90. #387×C₇₃	C₂²	semidirect
98. #385×C₇₃	C₂²	semidirect
99. #385×C₇₃	C₂²	semidirect
100. #384×C₇₃	C₂²	semidirect
101. #384×C₇₃	C₂²	semidirect
102. #381×C₇₃	C₂²	semidirect
106. #380×C₇₃	C₂²	semidirect
107. #380×C₇₃	C₂²	semidirect
111. C₄×C₄⋊C₄×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
117. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
122. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
519. #59424	C₇₃	direct (N × H)
530. #2786	C₂×C₇₃	semidirect
531. #2740	C₂×C₇₃	semidirect
532. #2601	C₂×C₇₃	semidirect
533. #2592	C₂×C₇₃	semidirect
534. #2560	C₂×C₇₃	semidirect
535. #2538	C₂×C₇₃	semidirect
536. #2512	C₂×C₇₃	semidirect
537. #2512	C₂×C₇₃	semidirect
538. #2502	C₂×C₇₃	semidirect
539. #2480	C₂×C₇₃	semidirect
540. #2480	C₂×C₇₃	semidirect
541. #2448	C₂×C₇₃	semidirect
542. #2447	C₂×C₇₃	semidirect
543. #2437	C₂×C₇₃	semidirect
545. #2367	C₂×C₇₃	semidirect
546. #2354	C₂×C₇₃	semidirect
547. #2345	C₂×C₇₃	semidirect
548. #2342	C₂×C₇₃	semidirect
550. C₄×C₂²⋊Q₈	C₂×C₇₃	semidirect
551. C₄×C₂²⋊Q₈	C₂×C₇₃	semidirect
553. C₇₃	#59424	direct (N × H)
555. C₂×#126	C₂²×C₇₃	semidirect
556. C₂×#126	C₂²×C₇₃	semidirect
561. C₂×C₂²⋊Q₈	C₂²×C₇₃	semidirect
562. C₂×C₄×Q₈	C₂²×C₇₃	semidirect
563. C₂×C₄×Q₈	C₂²×C₇₃	semidirect
566. C₂×#117	C₂²×C₇₃	semidirect
572. #399	C₂²×C₇₃	semidirect
573. #398	C₂²×C₇₃	semidirect
574. #398	C₂²×C₇₃	semidirect
575. #397	C₂²×C₇₃	semidirect
576. #397	C₂²×C₇₃	semidirect
577. #397	C₂²×C₇₃	semidirect
578. #397	C₂²×C₇₃	semidirect
579. #397	C₂²×C₇₃	semidirect
580. #397	C₂²×C₇₃	semidirect
581. #396	C₂²×C₇₃	semidirect
582. #396	C₂²×C₇₃	semidirect
583. #396	C₂²×C₇₃	semidirect
584. #396	C₂²×C₇₃	semidirect
587. #393	C₂²×C₇₃	semidirect
588. #391	C₂²×C₇₃	semidirect
589. #391	C₂²×C₇₃	semidirect
590. #391	C₂²×C₇₃	semidirect
591. #391	C₂²×C₇₃	semidirect
602. #389	C₂²×C₇₃	semidirect
603. #389	C₂²×C₇₃	semidirect
604. #389	C₂²×C₇₃	semidirect
605. #389	C₂²×C₇₃	semidirect
606. #388	C₂²×C₇₃	semidirect
607. #388	C₂²×C₇₃	semidirect
608. #388	C₂²×C₇₃	semidirect
609. #388	C₂²×C₇₃	semidirect
610. #388	C₂²×C₇₃	semidirect
611. #388	C₂²×C₇₃	semidirect
612. #388	C₂²×C₇₃	semidirect
613. #388	C₂²×C₇₃	semidirect
614. #388	C₂²×C₇₃	semidirect
615. #388	C₂²×C₇₃	semidirect
616. #387	C₂²×C₇₃	semidirect
617. #387	C₂²×C₇₃	semidirect
618. #387	C₂²×C₇₃	semidirect
619. #387	C₂²×C₇₃	semidirect
620. #387	C₂²×C₇₃	semidirect
628. #385	C₂²×C₇₃	semidirect
629. #385	C₂²×C₇₃	semidirect
630. #384	C₂²×C₇₃	semidirect
631. #384	C₂²×C₇₃	semidirect
632. #381	C₂²×C₇₃	semidirect
636. #380	C₂²×C₇₃	semidirect
637. #380	C₂²×C₇₃	semidirect
641. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
642. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
643. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
644. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
645. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
646. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
647. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
652. 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×#2786	2
C₇₃×#2740	2
C₇₃×#2601	2
C₇₃×#2592	2
C₇₃×#2560	2
C₇₃×#2538	2
C₇₃×#2512	2
C₇₃×#2502	2
C₇₃×#2480	2
C₇₃×#2448	2
C₇₃×#2447	2
C₇₃×#2437	2
C₇₃×#2435	2
C₇₃×#2367	2
C₇₃×#2354	2
C₇₃×#2345	2
C₇₃×#2342	2
D₄×C₂²⋊C₄×C₇₃	2
C₄×C₂²⋊Q₈×C₇₃	2
C₂×#390×C₇₃	2
#59424	73

Subgroups — C73×#59424 #32968828

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#59424 #32968828