Subgroups — C₇₃×#59819 #32969223

Order 18688.

2642 conjugacy classes of subgroups.

The subgroup lattice has 1038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#551×C₇₃	C₂	1	2	yes	maximal, complemented
2	C₇₃×#2733	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#2732	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#2727	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#2682	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₃×#2554	C₂	1	2	yes	maximal, complemented
7	C₇₃×#2554	C₂	1	2	yes	maximal, complemented
8	C₇₃×#2539	C₂	1	2	yes	maximal, complemented
9	C₇₃×#2534	C₂	1	2	yes	maximal, complemented
10	C₇₃×#2479	C₂	1	2	yes	maximal, complemented
11	C₇₃×#2456	C₂	1	2	yes	maximal, complemented
12	C₇₃×#2426	C₂	1	2	yes	maximal, complemented
13	C₇₃×#2413	C₂	1	2	yes	maximal, complemented
14	C₇₃×#2410	C₂	1	2	yes	maximal, complemented
15	C₇₃×#2363	C₂	1	2	yes	maximal, complemented
16	C₇₃×#2342	C₂	1	2	yes	maximal, complemented
17	C₄×C₂²⋊Q₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×#121×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#390×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic
21	#551×C₇₃	—	2	16	no	—
22	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
23	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
24	C₂×#124×C₇₃	C₂²	1	2	yes	complemented
25	C₂×#123×C₇₃	C₂²	1	2	yes	—
26	C₂×#123×C₇₃	C₂²	1	2	yes	—
27	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
28	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
29	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
30	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	complemented
31	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
32	C₂×#121×C₇₃	C₂²	1	2	yes	—
33	C₂×#121×C₇₃	C₂²	1	2	yes	—
34	C₂×#120×C₇₃	C₂²	1	2	yes	—
35	C₂×#120×C₇₃	C₂²	1	2	yes	—
36	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
38	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
39	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#117×C₇₃	C₂²	1	2	yes	—
41	C₂×#117×C₇₃	C₂²	1	2	yes	complemented
42	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
43	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
44	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
45	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
46	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
47	#399×C₇₃	C₂²	1	2	yes	complemented
48	#399×C₇₃	C₂²	1	2	yes	complemented
49	#398×C₇₃	C₂²	1	2	yes	complemented
50	#398×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	#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	#392×C₇₃	C₂²	1	2	yes	complemented
62	#392×C₇₃	C₂²	1	2	yes	complemented
63	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
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	2	yes	—
69	#390×C₇₃	C₂²	1	1	yes	characteristic
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	#390×C₇₃	C₂²	1	2	yes	complemented
75	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
76	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
77	#389×C₇₃	C₂²	1	2	yes	complemented
78	#389×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	#388×C₇₃	C₂²	1	2	yes	complemented
87	#388×C₇₃	C₂²	1	2	yes	complemented
88	#387×C₇₃	C₂²	1	2	yes	complemented
89	#386×C₇₃	C₂²	1	2	yes	—
90	#386×C₇₃	C₂²	1	2	yes	—
91	#386×C₇₃	C₂²	1	2	yes	—
92	#386×C₇₃	C₂²	1	2	yes	complemented
93	#386×C₇₃	C₂²	1	2	yes	complemented
94	#385×C₇₃	C₂²	1	2	yes	—
95	#385×C₇₃	C₂²	1	2	yes	complemented
96	#385×C₇₃	C₂²	1	2	yes	complemented
97	#381×C₇₃	C₂²	1	2	yes	—
98	#380×C₇₃	C₂²	1	1	yes	characteristic
99	#380×C₇₃	C₂²	1	1	yes	characteristic
100	#379×C₇₃	C₂²	1	2	yes	—
101	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
102	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
103	C₄×C₄⋊C₄×C₇₃	C₂²	1	2	yes	complemented
104	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
105	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
106	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
107	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
108	C₂⁵×C₇₃	C₂³	1	2	yes	—
109	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
110	C₂²×D₄×C₇₃	—	2	4	no	—
111	C₂²×D₄×C₇₃	—	4	2	no	—
112	C₂²×D₄×C₇₃	—	4	2	no	—
113	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
114	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
115	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
116	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
117	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
118	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
119	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
120	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
121	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
122	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
123	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
124	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
125	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
126	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
127	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
128	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
129	#126×C₇₃	—	2	8	no	—
130	#126×C₇₃	—	2	8	no	—
131	#124×C₇₃	—	2	8	no	—
132	#123×C₇₃	—	2	8	no	—
133	#123×C₇₃	—	2	8	no	—
134	#123×C₇₃	—	2	8	no	—
135	#123×C₇₃	—	4	4	no	—
136	C₂²⋊Q₈×C₇₃	—	2	8	no	—
137	C₂²⋊Q₈×C₇₃	D₄	1	8	yes	complemented
138	#121×C₇₃	—	2	8	no	—
139	#121×C₇₃	—	2	4	no	—
140	#121×C₇₃	—	4	4	no	—
141	#120×C₇₃	—	2	8	no	—
142	#120×C₇₃	—	4	4	no	—
143	C₄×Q₈×C₇₃	—	4	2	no	—
144	C₄×D₄×C₇₃	—	2	8	no	—
145	C₄×D₄×C₇₃	—	2	8	no	—
146	C₄×D₄×C₇₃	—	4	2	no	—
147	#117×C₇₃	—	2	8	no	—
148	#117×C₇₃	—	2	8	no	—
149	C₂×C₄⋊C₄×C₇₃	—	4	2	no	—
150	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
151	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
152	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
153	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
154	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
155	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
156	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
157	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
158	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
159	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
169	C₂×C₂²⋊C₄×C₇₃	—	2	8	no	—
170	C₂×C₂²⋊C₄×C₇₃	—	2	8	no	—
171	C₂×C₂²⋊C₄×C₇₃	—	2	8	no	—
172	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
175	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
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×C₄²×C₇₃	—	4	2	no	—
202	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
203	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
204	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
205	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
208	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
209	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
211	#95×C₇₃	C₂³	1	2	yes	—
212	#95×C₇₃	C₂³	1	2	yes	—
213	#95×C₇₃	C₂³	1	2	yes	—
214	#95×C₇₃	C₂³	1	2	yes	—
215	#95×C₇₃	C₂³	1	2	yes	—
216	#95×C₇₃	C₂³	1	2	yes	—
217	#95×C₇₃	C₂³	1	2	yes	—
218	#95×C₇₃	C₂³	1	2	yes	—
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	C₂⁴×C₇₃	—	2	4	no	—
224	C₂⁴×C₇₃	—	2	4	no	—
225	C₂⁴×C₇₃	—	2	4	no	—
226	C₂⁴×C₇₃	—	2	4	no	—
227	C₂⁴×C₇₃	—	4	2	no	—
228	C₂⁴×C₇₃	—	4	2	no	—
229	C₂⁴×C₇₃	—	4	2	no	—
230	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
231	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
232	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
233	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
234	C₂×Q₈×C₇₃	—	4	1	no	—
235	C₂×Q₈×C₇₃	—	4	1	no	—
236	C₂×Q₈×C₇₃	C₂×D₄	1	4	yes	complemented
237	C₂×D₄×C₇₃	—	2	4	no	—
238	C₂×D₄×C₇₃	—	2	4	no	—
239	C₂×D₄×C₇₃	—	2	4	no	—
240	C₂×D₄×C₇₃	—	2	4	no	—
241	C₂×D₄×C₇₃	—	2	4	no	—
242	C₂×D₄×C₇₃	—	2	4	no	—
243	C₂×D₄×C₇₃	—	2	4	no	—
244	C₂×D₄×C₇₃	—	2	4	no	—
245	C₂×D₄×C₇₃	—	2	2	no	—
246	C₂×D₄×C₇₃	—	2	2	no	—
247	C₂×D₄×C₇₃	—	2	4	no	—
248	C₂×D₄×C₇₃	—	4	1	no	—
249	C₂×D₄×C₇₃	—	4	1	no	—
250	C₂×D₄×C₇₃	—	4	1	no	—
251	C₂×D₄×C₇₃	—	4	1	no	—
252	C₂×D₄×C₇₃	—	4	2	no	—
253	C₂×D₄×C₇₃	—	4	1	no	—
254	C₂×D₄×C₇₃	—	4	2	no	—
255	C₂×D₄×C₇₃	—	4	1	no	—
256	C₂×D₄×C₇₃	—	4	16	no	—
257	C₂×D₄×C₇₃	—	4	2	no	—
258	C₂×D₄×C₇₃	—	4	2	no	—
259	C₂×D₄×C₇₃	—	4	2	no	—
260	C₂×D₄×C₇₃	—	4	2	no	—
261	C₂×D₄×C₇₃	—	4	2	no	—
262	C₂×D₄×C₇₃	—	4	2	no	—
263	C₂×D₄×C₇₃	—	4	2	no	—
264	C₂×D₄×C₇₃	#41	1	4	yes	—
265	C₂²×C₄×C₇₃	—	2	2	no	—
266	C₂²×C₄×C₇₃	—	2	2	no	—
267	C₂²×C₄×C₇₃	—	2	2	no	—
268	C₂²×C₄×C₇₃	—	2	4	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	1	no	—
278	C₂²×C₄×C₇₃	—	4	2	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	C₂×D₄	1	4	yes	—
285	C₂²×C₄×C₇₃	#41	1	4	yes	—
286	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
287	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
289	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
290	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
291	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
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	2	yes	—
296	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
300	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
301	C₄⋊C₄×C₇₃	—	2	4	no	—
302	C₄⋊C₄×C₇₃	—	2	4	no	—
303	C₄⋊C₄×C₇₃	—	2	4	no	—
304	C₄⋊C₄×C₇₃	—	2	4	no	—
305	C₄⋊C₄×C₇₃	—	2	4	no	—
306	C₄⋊C₄×C₇₃	—	2	4	no	—
307	C₄⋊C₄×C₇₃	—	2	2	no	—
308	C₄⋊C₄×C₇₃	—	2	4	no	—
309	C₄⋊C₄×C₇₃	—	4	1	no	—
310	C₄⋊C₄×C₇₃	—	4	2	no	—
311	C₄⋊C₄×C₇₃	—	4	1	no	—
312	C₄⋊C₄×C₇₃	—	4	1	no	—
313	C₄⋊C₄×C₇₃	—	4	1	no	—
314	C₄⋊C₄×C₇₃	—	4	1	no	—
315	C₄⋊C₄×C₇₃	—	4	1	no	—
316	C₄⋊C₄×C₇₃	—	4	2	no	—
317	C₄⋊C₄×C₇₃	—	4	2	no	—
318	C₄⋊C₄×C₇₃	C₂×D₄	1	8	yes	complemented
319	C₄⋊C₄×C₇₃	C₂×D₄	1	4	yes	complemented
320	C₂²⋊C₄×C₇₃	—	2	4	no	—
321	C₂²⋊C₄×C₇₃	—	2	4	no	—
322	C₂²⋊C₄×C₇₃	—	2	4	no	—
323	C₂²⋊C₄×C₇₃	—	2	4	no	—
324	C₂²⋊C₄×C₇₃	—	2	4	no	—
325	C₂²⋊C₄×C₇₃	—	2	4	no	—
326	C₂²⋊C₄×C₇₃	—	2	4	no	—
327	C₂²⋊C₄×C₇₃	—	2	4	no	—
328	C₂²⋊C₄×C₇₃	—	2	4	no	—
329	C₂²⋊C₄×C₇₃	—	2	4	no	—
330	C₂²⋊C₄×C₇₃	—	2	4	no	—
331	C₂²⋊C₄×C₇₃	—	2	4	no	—
332	C₂²⋊C₄×C₇₃	—	2	4	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	4	no	—
337	C₂²⋊C₄×C₇₃	—	2	4	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	—	4	2	no	—
342	C₂²⋊C₄×C₇₃	—	4	2	no	—
343	C₂²⋊C₄×C₇₃	—	4	2	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	C₂×D₄	1	8	yes	—
349	C₄²×C₇₃	—	2	4	no	—
350	C₄²×C₇₃	—	2	4	no	—
351	C₄²×C₇₃	—	2	4	no	—
352	C₄²×C₇₃	—	2	2	no	—
353	C₄²×C₇₃	—	2	2	no	—
354	C₄²×C₇₃	—	4	1	no	—
355	C₄²×C₇₃	—	4	1	no	—
356	C₄²×C₇₃	—	4	2	no	—
357	C₄²×C₇₃	—	4	2	no	—
358	C₂³×C₇₃	—	2	1	no	—
359	C₂³×C₇₃	—	2	1	no	—
360	C₂³×C₇₃	—	2	1	no	—
361	C₂³×C₇₃	—	2	1	no	—
362	C₂³×C₇₃	—	2	2	no	—
363	C₂³×C₇₃	—	2	2	no	—
364	C₂³×C₇₃	—	2	2	no	—
365	C₂³×C₇₃	—	2	2	no	—
366	C₂³×C₇₃	—	2	2	no	—
367	C₂³×C₇₃	—	2	2	no	—
368	C₂³×C₇₃	—	2	2	no	—
369	C₂³×C₇₃	—	2	2	no	—
370	C₂³×C₇₃	—	2	2	no	—
371	C₂³×C₇₃	—	2	2	no	—
372	C₂³×C₇₃	—	2	2	no	—
373	C₂³×C₇₃	—	2	2	no	—
374	C₂³×C₇₃	—	2	2	no	—
375	C₂³×C₇₃	—	2	2	no	—
376	C₂³×C₇₃	—	2	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	—	4	8	no	—
383	C₂³×C₇₃	—	4	8	no	—
384	C₂³×C₇₃	—	4	8	no	—
385	C₂³×C₇₃	—	4	8	no	—
386	C₂³×C₇₃	—	8	4	no	—
387	C₂³×C₇₃	—	8	4	no	—
388	C₂³×C₇₃	—	8	4	no	—
389	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
390	C₂³×C₇₃	C₂×#41	1	4	yes	—
391	C₂³×C₇₃	C₂×#41	1	2	yes	—
392	C₂³×C₇₃	H(5,𝔽₂)	1	2	yes	—
393	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
394	Q₈×C₇₃	—	4	4	no	—
395	D₄×C₇₃	—	4	4	no	—
396	D₄×C₇₃	—	4	8	no	—
397	D₄×C₇₃	—	4	8	no	—
398	D₄×C₇₃	—	4	4	no	—
399	D₄×C₇₃	—	4	4	no	—
400	D₄×C₇₃	—	4	8	no	—
401	D₄×C₇₃	—	8	4	no	—
402	D₄×C₇₃	—	8	4	no	—
403	D₄×C₇₃	—	8	4	no	—
404	C₂×C₄×C₇₃	—	2	8	no	—
405	C₂×C₄×C₇₃	—	2	2	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	2	no	—
413	C₂×C₄×C₇₃	—	2	1	no	—
414	C₂×C₄×C₇₃	—	2	1	no	—
415	C₂×C₄×C₇₃	—	2	1	no	—
416	C₂×C₄×C₇₃	—	2	2	no	—
417	C₂×C₄×C₇₃	—	2	1	no	—
418	C₂×C₄×C₇₃	—	2	1	no	—
419	C₂×C₄×C₇₃	—	2	1	no	—
420	C₂×C₄×C₇₃	—	2	2	no	—
421	C₂×C₄×C₇₃	—	2	2	no	—
422	C₂×C₄×C₇₃	—	2	2	no	—
423	C₂×C₄×C₇₃	—	2	2	no	—
424	C₂×C₄×C₇₃	—	2	2	no	—
425	C₂×C₄×C₇₃	—	2	2	no	—
426	C₂×C₄×C₇₃	—	2	2	no	—
427	C₂×C₄×C₇₃	—	2	2	no	—
428	C₂×C₄×C₇₃	—	2	2	no	—
429	C₂×C₄×C₇₃	—	2	2	no	—
430	C₂×C₄×C₇₃	—	2	2	no	—
431	C₂×C₄×C₇₃	—	2	2	no	—
432	C₂×C₄×C₇₃	—	2	2	no	—
433	C₂×C₄×C₇₃	—	2	2	no	—
434	C₂×C₄×C₇₃	—	2	2	no	—
435	C₂×C₄×C₇₃	—	2	2	no	—
436	C₂×C₄×C₇₃	—	2	2	no	—
437	C₂×C₄×C₇₃	—	2	2	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	—	4	4	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	—	8	4	no	—
447	C₂×C₄×C₇₃	—	8	4	no	—
448	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
449	C₂×C₄×C₇₃	C₂²×D₄	1	4	yes	—
450	C₂×C₄×C₇₃	C₂²×D₄	1	4	yes	—
451	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
452	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
453	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
454	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
455	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
456	C₂²×C₇₃	—	2	2	no	—
457	C₂²×C₇₃	—	2	2	no	—
458	C₂²×C₇₃	—	2	2	no	—
459	C₂²×C₇₃	—	2	2	no	—
460	C₂²×C₇₃	—	2	2	no	—
461	C₂²×C₇₃	—	2	2	no	—
462	C₂²×C₇₃	—	2	4	no	—
463	C₂²×C₇₃	—	2	4	no	—
464	C₂²×C₇₃	—	2	4	no	—
465	C₂²×C₇₃	—	4	2	no	—
466	C₂²×C₇₃	—	4	2	no	—
467	C₂²×C₇₃	—	4	2	no	—
468	C₂²×C₇₃	—	4	2	no	—
469	C₂²×C₇₃	—	4	2	no	—
470	C₂²×C₇₃	—	4	2	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	—	4	2	no	—
476	C₂²×C₇₃	—	4	2	no	—
477	C₂²×C₇₃	—	4	2	no	—
478	C₂²×C₇₃	—	4	2	no	—
479	C₂²×C₇₃	—	4	2	no	—
480	C₂²×C₇₃	—	4	2	no	—
481	C₂²×C₇₃	—	4	2	no	—
482	C₂²×C₇₃	—	4	2	no	—
483	C₂²×C₇₃	—	8	16	no	—
484	C₂²×C₇₃	#550	1	4	yes	—
485	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
486	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
487	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
488	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
489	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
490	C₂²×C₇₃	#585	1	1	yes	characteristic
491	C₂²×C₇₃	#585	1	1	yes	characteristic
492	C₄×C₇₃	—	2	4	no	—
493	C₄×C₇₃	—	2	2	no	—
494	C₄×C₇₃	—	2	2	no	—
495	C₄×C₇₃	—	2	2	no	—
496	C₄×C₇₃	—	2	2	no	—
497	C₄×C₇₃	—	2	4	no	—
498	C₄×C₇₃	—	2	2	no	—
499	C₄×C₇₃	—	2	2	no	—
500	C₄×C₇₃	—	4	2	no	—
501	C₄×C₇₃	—	4	2	no	—
502	C₄×C₇₃	—	4	2	no	—
503	C₄×C₇₃	—	4	2	no	—
504	C₄×C₇₃	—	4	2	no	—
505	C₄×C₇₃	—	4	2	no	—
506	C₄×C₇₃	—	4	2	no	—
507	#59819	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
508	C₂×C₇₃	—	2	4	no	—
509	C₂×C₇₃	—	4	4	no	—
510	C₂×C₇₃	—	8	2	no	—
511	C₂×C₇₃	—	8	2	no	—
512	C₂×C₇₃	C₂×#550	1	1	yes	characteristic
513	C₂×C₇₃	D₄×#41	1	1	yes	characteristic
514	C₂×C₇₃	#3475	1	1	yes	characteristic
515	C₂×C₇₃	#3490	1	1	yes	characteristic
516	C₂×C₇₃	#3496	1	1	yes	characteristic
517	C₂×C₇₃	#3505	1	1	yes	characteristic
518	C₂×C₇₃	#3545	1	1	yes	characteristic
519	C₂×#551	C₂×C₇₃	1	2	yes	complemented
520	#2733	C₂×C₇₃	1	1	yes	characteristic, complemented
521	#2732	C₂×C₇₃	1	1	yes	characteristic, complemented
522	#2727	C₂×C₇₃	1	1	yes	characteristic, complemented
523	#2682	C₂×C₇₃	1	1	yes	characteristic, complemented
524	#2554	C₂×C₇₃	1	2	yes	complemented
525	#2554	C₂×C₇₃	1	2	yes	complemented
526	#2539	C₂×C₇₃	1	2	yes	complemented
527	#2534	C₂×C₇₃	1	2	yes	complemented
528	#2479	C₂×C₇₃	1	2	yes	complemented
529	#2456	C₂×C₇₃	1	2	yes	complemented
530	#2426	C₂×C₇₃	1	2	yes	complemented
531	#2413	C₂×C₇₃	1	2	yes	complemented
532	#2410	C₂×C₇₃	1	2	yes	complemented
533	#2363	C₂×C₇₃	1	2	yes	complemented
534	#2342	C₂×C₇₃	1	2	yes	complemented
535	C₄×C₂²⋊Q₈	C₂×C₇₃	1	1	yes	characteristic, complemented
536	C₄×#121	C₂×C₇₃	1	1	yes	characteristic, complemented
537	C₂×#390	C₂×C₇₃	1	1	yes	characteristic, complemented
538	C₇₃	#59819	1	1	yes	characteristic, direct product factor, Sylow
539	C₂³×D₄	C₂²×C₇₃	1	1	yes	characteristic
540	#551	—	2	16	no	—
541	C₂×#126	C₂²×C₇₃	1	2	yes	complemented
542	C₂×#126	C₂²×C₇₃	1	2	yes	complemented
543	C₂×#124	C₂²×C₇₃	1	2	yes	complemented
544	C₂×#123	C₂²×C₇₃	1	2	yes	—
545	C₂×#123	C₂²×C₇₃	1	2	yes	—
546	C₂×#123	C₂²×C₇₃	1	2	yes	complemented
547	C₂×#123	C₂²×C₇₃	1	2	yes	complemented
548	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
549	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	complemented
550	C₂×#121	C₂²×C₇₃	1	2	yes	—
551	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
552	C₂×#121	C₂²×C₇₃	1	2	yes	—
553	C₂×#120	C₂²×C₇₃	1	2	yes	—
554	C₂×#120	C₂²×C₇₃	1	2	yes	—
555	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
556	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
557	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	complemented
558	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
559	C₂×#117	C₂²×C₇₃	1	2	yes	—
560	C₂×#117	C₂²×C₇₃	1	2	yes	complemented
561	C₂²×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
562	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
563	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
564	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
565	C₂²×C₄²	C₂²×C₇₃	1	1	yes	characteristic
566	#399	C₂²×C₇₃	1	2	yes	complemented
567	#399	C₂²×C₇₃	1	2	yes	complemented
568	#398	C₂²×C₇₃	1	2	yes	complemented
569	#398	C₂²×C₇₃	1	2	yes	complemented
570	#396	C₂²×C₇₃	1	2	yes	complemented
571	#396	C₂²×C₇₃	1	2	yes	complemented
572	#396	C₂²×C₇₃	1	2	yes	complemented
573	#396	C₂²×C₇₃	1	2	yes	complemented
574	#394	C₂²×C₇₃	1	2	yes	—
575	#394	C₂²×C₇₃	1	2	yes	—
576	#394	C₂²×C₇₃	1	2	yes	complemented
577	#394	C₂²×C₇₃	1	2	yes	complemented
578	#392	C₂²×C₇₃	1	2	yes	—
579	#392	C₂²×C₇₃	1	2	yes	—
580	#392	C₂²×C₇₃	1	2	yes	complemented
581	#392	C₂²×C₇₃	1	2	yes	complemented
582	#391	C₂²×C₇₃	1	1	yes	characteristic, complemented
583	#390	C₂²×C₇₃	1	1	yes	characteristic
584	#390	C₂²×C₇₃	1	2	yes	—
585	#390	C₂²×C₇₃	1	1	yes	characteristic
586	#390	C₂²×C₇₃	1	2	yes	—
587	#390	C₂²×C₇₃	1	1	yes	characteristic
588	#390	C₂²×C₇₃	1	1	yes	characteristic
589	#390	C₂²×C₇₃	1	2	yes	complemented
590	#390	C₂²×C₇₃	1	2	yes	complemented
591	#390	C₂²×C₇₃	1	2	yes	complemented
592	#390	C₂²×C₇₃	1	1	yes	characteristic, complemented
593	#390	C₂²×C₇₃	1	2	yes	complemented
594	#389	C₂²×C₇₃	1	2	yes	complemented
595	#389	C₂²×C₇₃	1	2	yes	complemented
596	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
597	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
598	#388	C₂²×C₇₃	1	2	yes	complemented
599	#388	C₂²×C₇₃	1	2	yes	complemented
600	#388	C₂²×C₇₃	1	2	yes	complemented
601	#388	C₂²×C₇₃	1	2	yes	complemented
602	#388	C₂²×C₇₃	1	2	yes	complemented
603	#388	C₂²×C₇₃	1	2	yes	complemented
604	#388	C₂²×C₇₃	1	2	yes	complemented
605	#388	C₂²×C₇₃	1	2	yes	complemented
606	#388	C₂²×C₇₃	1	2	yes	complemented
607	#387	C₂²×C₇₃	1	2	yes	complemented
608	#386	C₂²×C₇₃	1	2	yes	—
609	#386	C₂²×C₇₃	1	2	yes	—
610	#386	C₂²×C₇₃	1	2	yes	—
611	#386	C₂²×C₇₃	1	2	yes	complemented
612	#386	C₂²×C₇₃	1	2	yes	complemented
613	#385	C₂²×C₇₃	1	2	yes	—
614	#385	C₂²×C₇₃	1	2	yes	complemented
615	#385	C₂²×C₇₃	1	2	yes	complemented
616	#381	C₂²×C₇₃	1	2	yes	—
617	#380	C₂²×C₇₃	1	1	yes	characteristic
618	#380	C₂²×C₇₃	1	1	yes	characteristic
619	#379	C₂²×C₇₃	1	2	yes	—
620	C₄×C₄⋊C₄	C₂²×C₇₃	1	2	yes	complemented
621	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
622	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
623	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
624	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
625	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
626	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
627	C₂⁵	C₂³×C₇₃	1	2	yes	—
628	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
629	C₂²×D₄	—	2	4	no	—
630	C₂²×D₄	—	4	2	no	—
631	C₂²×D₄	—	4	2	no	—
632	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
633	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
634	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
635	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
636	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
637	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
638	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
639	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
640	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
641	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
642	C₂³×C₄	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	2	yes	—
646	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
647	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
648	#126	—	2	8	no	—
649	#126	—	2	8	no	—
650	#124	—	2	8	no	—
651	#123	—	2	8	no	—
652	#123	—	2	8	no	—
653	#123	—	2	8	no	—
654	#123	—	4	4	no	—
655	C₂²⋊Q₈	—	2	8	no	—
656	C₂²⋊Q₈	D₄×C₇₃	1	8	yes	complemented
657	#121	—	2	8	no	—
658	#121	—	2	4	no	—
659	#121	—	4	4	no	—
660	#120	—	2	8	no	—
661	#120	—	4	4	no	—
662	C₄×Q₈	—	4	2	no	—
663	C₄×D₄	—	2	8	no	—
664	C₄×D₄	—	2	8	no	—
665	C₄×D₄	—	4	2	no	—
666	#117	—	2	8	no	—
667	#117	—	2	8	no	—
668	C₂×C₄⋊C₄	—	4	2	no	—
669	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
670	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
671	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
672	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
673	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
674	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
675	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
677	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
679	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
682	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
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	2	yes	—
687	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	—	2	8	no	—
689	C₂×C₂²⋊C₄	—	2	8	no	—
690	C₂×C₂²⋊C₄	—	2	8	no	—
691	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
695	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
705	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
706	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
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	2	yes	—
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×C₄²	—	4	2	no	—
721	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
722	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
723	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
724	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
725	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
726	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
727	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
728	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
729	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
730	#95	C₂³×C₇₃	1	2	yes	—
731	#95	C₂³×C₇₃	1	2	yes	—
732	#95	C₂³×C₇₃	1	2	yes	—
733	#95	C₂³×C₇₃	1	2	yes	—
734	#95	C₂³×C₇₃	1	2	yes	—
735	#95	C₂³×C₇₃	1	2	yes	—
736	#95	C₂³×C₇₃	1	2	yes	—
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	C₂⁴	—	2	4	no	—
743	C₂⁴	—	2	4	no	—
744	C₂⁴	—	2	4	no	—
745	C₂⁴	—	2	4	no	—
746	C₂⁴	—	4	2	no	—
747	C₂⁴	—	4	2	no	—
748	C₂⁴	—	4	2	no	—
749	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
750	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
751	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
752	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
753	C₂×Q₈	—	4	1	no	—
754	C₂×Q₈	—	4	1	no	—
755	C₂×Q₈	C₂×D₄×C₇₃	1	4	yes	complemented
756	C₂×D₄	—	2	4	no	—
757	C₂×D₄	—	2	4	no	—
758	C₂×D₄	—	2	4	no	—
759	C₂×D₄	—	2	4	no	—
760	C₂×D₄	—	2	4	no	—
761	C₂×D₄	—	2	4	no	—
762	C₂×D₄	—	2	4	no	—
763	C₂×D₄	—	2	4	no	—
764	C₂×D₄	—	2	2	no	—
765	C₂×D₄	—	2	2	no	—
766	C₂×D₄	—	2	4	no	—
767	C₂×D₄	—	4	1	no	—
768	C₂×D₄	—	4	1	no	—
769	C₂×D₄	—	4	1	no	—
770	C₂×D₄	—	4	1	no	—
771	C₂×D₄	—	4	2	no	—
772	C₂×D₄	—	4	1	no	—
773	C₂×D₄	—	4	2	no	—
774	C₂×D₄	—	4	1	no	—
775	C₂×D₄	—	4	16	no	—
776	C₂×D₄	—	4	2	no	—
777	C₂×D₄	—	4	2	no	—
778	C₂×D₄	—	4	2	no	—
779	C₂×D₄	—	4	2	no	—
780	C₂×D₄	—	4	2	no	—
781	C₂×D₄	—	4	2	no	—
782	C₂×D₄	—	4	2	no	—
783	C₂×D₄	#41×C₇₃	1	4	yes	—
784	C₂²×C₄	—	2	2	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	2	no	—
787	C₂²×C₄	—	2	4	no	—
788	C₂²×C₄	—	2	4	no	—
789	C₂²×C₄	—	2	4	no	—
790	C₂²×C₄	—	2	4	no	—
791	C₂²×C₄	—	2	4	no	—
792	C₂²×C₄	—	2	4	no	—
793	C₂²×C₄	—	2	4	no	—
794	C₂²×C₄	—	4	1	no	—
795	C₂²×C₄	—	4	1	no	—
796	C₂²×C₄	—	4	1	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	—	4	1	no	—
799	C₂²×C₄	—	4	2	no	—
800	C₂²×C₄	—	4	2	no	—
801	C₂²×C₄	—	4	2	no	—
802	C₂²×C₄	—	4	2	no	—
803	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
804	C₂²×C₄	#41×C₇₃	1	4	yes	—
805	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
806	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
807	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
808	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
809	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
810	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
811	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
812	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
813	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
814	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
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	C₄⋊C₄	—	2	4	no	—
821	C₄⋊C₄	—	2	4	no	—
822	C₄⋊C₄	—	2	4	no	—
823	C₄⋊C₄	—	2	4	no	—
824	C₄⋊C₄	—	2	4	no	—
825	C₄⋊C₄	—	2	4	no	—
826	C₄⋊C₄	—	2	2	no	—
827	C₄⋊C₄	—	2	4	no	—
828	C₄⋊C₄	—	4	1	no	—
829	C₄⋊C₄	—	4	2	no	—
830	C₄⋊C₄	—	4	1	no	—
831	C₄⋊C₄	—	4	1	no	—
832	C₄⋊C₄	—	4	1	no	—
833	C₄⋊C₄	—	4	1	no	—
834	C₄⋊C₄	—	4	1	no	—
835	C₄⋊C₄	—	4	2	no	—
836	C₄⋊C₄	—	4	2	no	—
837	C₄⋊C₄	C₂×D₄×C₇₃	1	8	yes	complemented
838	C₄⋊C₄	C₂×D₄×C₇₃	1	4	yes	complemented
839	C₂²⋊C₄	—	2	4	no	—
840	C₂²⋊C₄	—	2	4	no	—
841	C₂²⋊C₄	—	2	4	no	—
842	C₂²⋊C₄	—	2	4	no	—
843	C₂²⋊C₄	—	2	4	no	—
844	C₂²⋊C₄	—	2	4	no	—
845	C₂²⋊C₄	—	2	4	no	—
846	C₂²⋊C₄	—	2	4	no	—
847	C₂²⋊C₄	—	2	4	no	—
848	C₂²⋊C₄	—	2	4	no	—
849	C₂²⋊C₄	—	2	4	no	—
850	C₂²⋊C₄	—	2	4	no	—
851	C₂²⋊C₄	—	2	4	no	—
852	C₂²⋊C₄	—	2	4	no	—
853	C₂²⋊C₄	—	2	4	no	—
854	C₂²⋊C₄	—	2	4	no	—
855	C₂²⋊C₄	—	2	4	no	—
856	C₂²⋊C₄	—	2	4	no	—
857	C₂²⋊C₄	—	2	4	no	—
858	C₂²⋊C₄	—	2	4	no	—
859	C₂²⋊C₄	—	2	4	no	—
860	C₂²⋊C₄	—	4	2	no	—
861	C₂²⋊C₄	—	4	2	no	—
862	C₂²⋊C₄	—	4	2	no	—
863	C₂²⋊C₄	—	4	2	no	—
864	C₂²⋊C₄	—	4	2	no	—
865	C₂²⋊C₄	—	4	2	no	—
866	C₂²⋊C₄	—	4	2	no	—
867	C₂²⋊C₄	C₂×D₄×C₇₃	1	8	yes	—
868	C₄²	—	2	4	no	—
869	C₄²	—	2	4	no	—
870	C₄²	—	2	4	no	—
871	C₄²	—	2	2	no	—
872	C₄²	—	2	2	no	—
873	C₄²	—	4	1	no	—
874	C₄²	—	4	1	no	—
875	C₄²	—	4	2	no	—
876	C₄²	—	4	2	no	—
877	C₂³	—	2	1	no	—
878	C₂³	—	2	1	no	—
879	C₂³	—	2	1	no	—
880	C₂³	—	2	1	no	—
881	C₂³	—	2	2	no	—
882	C₂³	—	2	2	no	—
883	C₂³	—	2	2	no	—
884	C₂³	—	2	2	no	—
885	C₂³	—	2	2	no	—
886	C₂³	—	2	2	no	—
887	C₂³	—	2	2	no	—
888	C₂³	—	2	2	no	—
889	C₂³	—	2	2	no	—
890	C₂³	—	2	2	no	—
891	C₂³	—	2	2	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	2	2	no	—
894	C₂³	—	2	2	no	—
895	C₂³	—	2	2	no	—
896	C₂³	—	2	2	no	—
897	C₂³	—	2	2	no	—
898	C₂³	—	2	2	no	—
899	C₂³	—	2	2	no	—
900	C₂³	—	2	2	no	—
901	C₂³	—	4	8	no	—
902	C₂³	—	4	8	no	—
903	C₂³	—	4	8	no	—
904	C₂³	—	4	8	no	—
905	C₂³	—	8	4	no	—
906	C₂³	—	8	4	no	—
907	C₂³	—	8	4	no	—
908	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
909	C₂³	C₂×#41×C₇₃	1	4	yes	—
910	C₂³	C₂×#41×C₇₃	1	2	yes	—
911	C₂³	H(5,𝔽₂)×C₇₃	1	2	yes	—
912	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
913	Q₈	—	4	4	no	—
914	D₄	—	4	4	no	—
915	D₄	—	4	8	no	—
916	D₄	—	4	8	no	—
917	D₄	—	4	4	no	—
918	D₄	—	4	4	no	—
919	D₄	—	4	8	no	—
920	D₄	—	8	4	no	—
921	D₄	—	8	4	no	—
922	D₄	—	8	4	no	—
923	C₂×C₄	—	2	8	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	2	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	1	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	2	no	—
936	C₂×C₄	—	2	1	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	2	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	2	no	—
952	C₂×C₄	—	2	2	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	2	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	4	4	no	—
962	C₂×C₄	—	4	4	no	—
963	C₂×C₄	—	4	8	no	—
964	C₂×C₄	—	4	8	no	—
965	C₂×C₄	—	8	4	no	—
966	C₂×C₄	—	8	4	no	—
967	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
968	C₂×C₄	C₂²×D₄×C₇₃	1	4	yes	—
969	C₂×C₄	C₂²×D₄×C₇₃	1	4	yes	—
970	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
971	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
972	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
973	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
974	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
975	C₂²	—	2	2	no	—
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	4	no	—
982	C₂²	—	2	4	no	—
983	C₂²	—	2	4	no	—
984	C₂²	—	4	2	no	—
985	C₂²	—	4	2	no	—
986	C₂²	—	4	2	no	—
987	C₂²	—	4	2	no	—
988	C₂²	—	4	2	no	—
989	C₂²	—	4	2	no	—
990	C₂²	—	4	2	no	—
991	C₂²	—	4	2	no	—
992	C₂²	—	4	2	no	—
993	C₂²	—	4	2	no	—
994	C₂²	—	4	2	no	—
995	C₂²	—	4	2	no	—
996	C₂²	—	4	2	no	—
997	C₂²	—	4	2	no	—
998	C₂²	—	4	2	no	—
999	C₂²	—	4	2	no	—
1000	C₂²	—	4	2	no	—
1001	C₂²	—	4	2	no	—
1002	C₂²	—	8	16	no	—
1003	C₂²	#550×C₇₃	1	4	yes	—
1004	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1005	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1006	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1007	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1008	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1009	C₂²	#585×C₇₃	1	1	yes	characteristic
1010	C₂²	#585×C₇₃	1	1	yes	characteristic
1011	C₄	—	2	4	no	—
1012	C₄	—	2	2	no	—
1013	C₄	—	2	2	no	—
1014	C₄	—	2	2	no	—
1015	C₄	—	2	2	no	—
1016	C₄	—	2	4	no	—
1017	C₄	—	2	2	no	—
1018	C₄	—	2	2	no	—
1019	C₄	—	4	2	no	—
1020	C₄	—	4	2	no	—
1021	C₄	—	4	2	no	—
1022	C₄	—	4	2	no	—
1023	C₄	—	4	2	no	—
1024	C₄	—	4	2	no	—
1025	C₄	—	4	2	no	—
1026	C₂	—	2	4	no	—
1027	C₂	—	4	4	no	—
1028	C₂	—	8	2	no	—
1029	C₂	—	8	2	no	—
1030	C₂	C₂×#550×C₇₃	1	1	yes	characteristic
1031	C₂	D₄×#41×C₇₃	1	1	yes	characteristic
1032	C₂	C₇₃×#3475	1	1	yes	characteristic
1033	C₂	C₇₃×#3490	1	1	yes	characteristic
1034	C₂	C₇₃×#3496	1	1	yes	characteristic
1035	C₂	C₇₃×#3505	1	1	yes	characteristic
1036	C₂	C₇₃×#3545	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₃
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×#551×C₇₃	C₂	semidirect
2. C₇₃×#2733	C₂	semidirect
3. C₇₃×#2732	C₂	semidirect
4. C₇₃×#2727	C₂	semidirect
5. C₇₃×#2682	C₂	semidirect
6. C₇₃×#2554	C₂	semidirect
7. C₇₃×#2554	C₂	semidirect
8. C₇₃×#2539	C₂	semidirect
9. C₇₃×#2534	C₂	semidirect
10. C₇₃×#2479	C₂	semidirect
11. C₇₃×#2456	C₂	semidirect
12. C₇₃×#2426	C₂	semidirect
13. C₇₃×#2413	C₂	semidirect
14. C₇₃×#2410	C₂	semidirect
15. C₇₃×#2363	C₂	semidirect
16. C₇₃×#2342	C₂	semidirect
17. C₄×C₂²⋊Q₈×C₇₃	C₂	semidirect
18. C₄×#121×C₇₃	C₂	semidirect
19. C₂×#390×C₇₃	C₂	semidirect
22. C₂×#126×C₇₃	C₂²	semidirect
23. C₂×#126×C₇₃	C₂²	semidirect
24. C₂×#124×C₇₃	C₂²	semidirect
27. C₂×#123×C₇₃	C₂²	semidirect
28. C₂×#123×C₇₃	C₂²	semidirect
30. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
36. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
38. C₂×C₄×D₄×C₇₃	C₂²	semidirect
39. C₂×C₄×D₄×C₇₃	C₂²	semidirect
41. C₂×#117×C₇₃	C₂²	semidirect
47. #399×C₇₃	C₂²	semidirect
48. #399×C₇₃	C₂²	semidirect
49. #398×C₇₃	C₂²	semidirect
50. #398×C₇₃	C₂²	semidirect
51. #396×C₇₃	C₂²	semidirect
52. #396×C₇₃	C₂²	semidirect
53. #396×C₇₃	C₂²	semidirect
54. #396×C₇₃	C₂²	semidirect
57. #394×C₇₃	C₂²	semidirect
58. #394×C₇₃	C₂²	semidirect
61. #392×C₇₃	C₂²	semidirect
62. #392×C₇₃	C₂²	semidirect
63. #391×C₇₃	C₂²	semidirect
70. #390×C₇₃	C₂²	semidirect
71. #390×C₇₃	C₂²	semidirect
72. #390×C₇₃	C₂²	semidirect
73. #390×C₇₃	C₂²	semidirect
74. #390×C₇₃	C₂²	semidirect
75. #389×C₇₃	C₂²	semidirect
76. #389×C₇₃	C₂²	semidirect
77. #389×C₇₃	C₂²	semidirect
78. #389×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. #388×C₇₃	C₂²	semidirect
87. #388×C₇₃	C₂²	semidirect
88. #387×C₇₃	C₂²	semidirect
92. #386×C₇₃	C₂²	semidirect
93. #386×C₇₃	C₂²	semidirect
95. #385×C₇₃	C₂²	semidirect
96. #385×C₇₃	C₂²	semidirect
101. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
102. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
103. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
105. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
106. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
107. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
137. C₂²⋊Q₈×C₇₃	D₄	semidirect
236. C₂×Q₈×C₇₃	C₂×D₄	semidirect
318. C₄⋊C₄×C₇₃	C₂×D₄	semidirect
319. C₄⋊C₄×C₇₃	C₂×D₄	semidirect
507. #59819	C₇₃	direct (N × H)
519. C₂×#551	C₂×C₇₃	semidirect
520. #2733	C₂×C₇₃	semidirect
521. #2732	C₂×C₇₃	semidirect
522. #2727	C₂×C₇₃	semidirect
523. #2682	C₂×C₇₃	semidirect
524. #2554	C₂×C₇₃	semidirect
525. #2554	C₂×C₇₃	semidirect
526. #2539	C₂×C₇₃	semidirect
527. #2534	C₂×C₇₃	semidirect
528. #2479	C₂×C₇₃	semidirect
529. #2456	C₂×C₇₃	semidirect
530. #2426	C₂×C₇₃	semidirect
531. #2413	C₂×C₇₃	semidirect
532. #2410	C₂×C₇₃	semidirect
533. #2363	C₂×C₇₃	semidirect
534. #2342	C₂×C₇₃	semidirect
535. C₄×C₂²⋊Q₈	C₂×C₇₃	semidirect
536. C₄×#121	C₂×C₇₃	semidirect
537. C₂×#390	C₂×C₇₃	semidirect
538. C₇₃	#59819	direct (N × H)
541. C₂×#126	C₂²×C₇₃	semidirect
542. C₂×#126	C₂²×C₇₃	semidirect
543. C₂×#124	C₂²×C₇₃	semidirect
546. C₂×#123	C₂²×C₇₃	semidirect
547. C₂×#123	C₂²×C₇₃	semidirect
549. C₂×C₂²⋊Q₈	C₂²×C₇₃	semidirect
555. C₂×C₄×Q₈	C₂²×C₇₃	semidirect
557. C₂×C₄×D₄	C₂²×C₇₃	semidirect
558. C₂×C₄×D₄	C₂²×C₇₃	semidirect
560. C₂×#117	C₂²×C₇₃	semidirect
566. #399	C₂²×C₇₃	semidirect
567. #399	C₂²×C₇₃	semidirect
568. #398	C₂²×C₇₃	semidirect
569. #398	C₂²×C₇₃	semidirect
570. #396	C₂²×C₇₃	semidirect
571. #396	C₂²×C₇₃	semidirect
572. #396	C₂²×C₇₃	semidirect
573. #396	C₂²×C₇₃	semidirect
576. #394	C₂²×C₇₃	semidirect
577. #394	C₂²×C₇₃	semidirect
580. #392	C₂²×C₇₃	semidirect
581. #392	C₂²×C₇₃	semidirect
582. #391	C₂²×C₇₃	semidirect
589. #390	C₂²×C₇₃	semidirect
590. #390	C₂²×C₇₃	semidirect
591. #390	C₂²×C₇₃	semidirect
592. #390	C₂²×C₇₃	semidirect
593. #390	C₂²×C₇₃	semidirect
594. #389	C₂²×C₇₃	semidirect
595. #389	C₂²×C₇₃	semidirect
596. #389	C₂²×C₇₃	semidirect
597. #389	C₂²×C₇₃	semidirect
598. #388	C₂²×C₇₃	semidirect
599. #388	C₂²×C₇₃	semidirect
600. #388	C₂²×C₇₃	semidirect
601. #388	C₂²×C₇₃	semidirect
602. #388	C₂²×C₇₃	semidirect
603. #388	C₂²×C₇₃	semidirect
604. #388	C₂²×C₇₃	semidirect
605. #388	C₂²×C₇₃	semidirect
606. #388	C₂²×C₇₃	semidirect
607. #387	C₂²×C₇₃	semidirect
611. #386	C₂²×C₇₃	semidirect
612. #386	C₂²×C₇₃	semidirect
614. #385	C₂²×C₇₃	semidirect
615. #385	C₂²×C₇₃	semidirect
620. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
621. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
622. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
624. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
625. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
626. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
656. C₂²⋊Q₈	D₄×C₇₃	semidirect
755. C₂×Q₈	C₂×D₄×C₇₃	semidirect
837. C₄⋊C₄	C₂×D₄×C₇₃	semidirect
838. C₄⋊C₄	C₂×D₄×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#551×C₇₃	2
C₇₃×#2733	2
C₇₃×#2732	2
C₇₃×#2727	2
C₇₃×#2682	2
C₇₃×#2554	2
C₇₃×#2539	2
C₇₃×#2534	2
C₇₃×#2479	2
C₇₃×#2456	2
C₇₃×#2426	2
C₇₃×#2413	2
C₇₃×#2410	2
C₇₃×#2363	2
C₇₃×#2342	2
C₄×C₂²⋊Q₈×C₇₃	2
C₄×#121×C₇₃	2
C₂×#390×C₇₃	2
#59819	73

Subgroups — C73×#59819 #32969223

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#59819 #32969223