Subgroups — C₇₃×#59562 #32968966

Order 18688.

2190 conjugacy classes of subgroups.

The subgroup lattice has 1096 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#2778	C₂	1	2	yes	maximal, complemented
2	C₇₃×#2735	C₂	1	2	yes	maximal, complemented
3	C₇₃×#2580	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#2576	C₂	1	2	yes	maximal, complemented
5	C₇₃×#2538	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₃×#2497	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#2494	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#2485	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#2477	C₂	1	2	yes	maximal, complemented
10	C₇₃×#2472	C₂	1	2	yes	maximal, complemented
11	C₇₃×#2471	C₂	1	2	yes	maximal, complemented
12	C₇₃×#2422	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#2420	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#2411	C₂	1	2	yes	maximal, complemented
15	C₇₃×#2408	C₂	1	1	yes	maximal, characteristic
16	C₇₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇₃×#2342	C₂	1	2	yes	maximal, 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×#124×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇₃×#2293	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×#124×C₇₃	C₂²	1	1	yes	characteristic
26	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
27	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	complemented
28	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
29	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
30	C₂×#120×C₇₃	C₂²	1	2	yes	—
31	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
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×#117×C₇₃	C₂²	1	2	yes	complemented
38	C₂×#117×C₇₃	C₂²	1	2	yes	complemented
39	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
41	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
42	#401×C₇₃	C₂²	1	2	yes	complemented
43	#400×C₇₃	C₂²	1	2	yes	complemented
44	#399×C₇₃	C₂²	1	2	yes	complemented
45	#397×C₇₃	C₂²	1	2	yes	—
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	#396×C₇₃	C₂²	1	2	yes	—
50	#396×C₇₃	C₂²	1	2	yes	complemented
51	#396×C₇₃	C₂²	1	2	yes	complemented
52	#394×C₇₃	C₂²	1	2	yes	—
53	#394×C₇₃	C₂²	1	2	yes	—
54	#394×C₇₃	C₂²	1	2	yes	complemented
55	#394×C₇₃	C₂²	1	2	yes	complemented
56	#393×C₇₃	C₂²	1	2	yes	complemented
57	#392×C₇₃	C₂²	1	2	yes	—
58	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
59	#390×C₇₃	C₂²	1	1	yes	characteristic
60	#390×C₇₃	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
65	#390×C₇₃	C₂²	1	1	yes	characteristic
66	#390×C₇₃	C₂²	1	2	yes	complemented
67	#390×C₇₃	C₂²	1	2	yes	complemented
68	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
69	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
70	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
71	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
72	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
73	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
74	#388×C₇₃	C₂²	1	2	yes	—
75	#388×C₇₃	C₂²	1	1	yes	characteristic
76	#388×C₇₃	C₂²	1	2	yes	—
77	#388×C₇₃	C₂²	1	2	yes	—
78	#388×C₇₃	C₂²	1	1	yes	characteristic
79	#388×C₇₃	C₂²	1	1	yes	characteristic, 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	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	2	yes	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	complemented
95	#386×C₇₃	C₂²	1	2	yes	complemented
96	#386×C₇₃	C₂²	1	2	yes	complemented
97	#385×C₇₃	C₂²	1	2	yes	complemented
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	#382×C₇₃	C₂²	1	1	yes	characteristic, complemented
102	#382×C₇₃	C₂²	1	1	yes	characteristic, complemented
103	#381×C₇₃	C₂²	1	2	yes	complemented
104	#380×C₇₃	C₂²	1	1	yes	characteristic
105	#380×C₇₃	C₂²	1	1	yes	characteristic
106	#380×C₇₃	C₂²	1	1	yes	characteristic
107	#380×C₇₃	C₂²	1	1	yes	characteristic, complemented
108	#380×C₇₃	C₂²	1	2	yes	complemented
109	#379×C₇₃	C₂²	1	2	yes	—
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×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
115	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
117	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
118	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
119	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, 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×Q₈×C₇₃	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₇₃	—	2	4	no	—
126	C₂²×D₄×C₇₃	—	2	4	no	—
127	C₂²×D₄×C₇₃	—	4	2	no	—
128	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
129	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
133	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
134	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
139	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
140	#124×C₇₃	—	2	4	no	—
141	#123×C₇₃	—	4	4	no	—
142	C₂²⋊Q₈×C₇₃	—	4	4	no	—
143	#121×C₇₃	—	2	4	no	—
144	#121×C₇₃	—	2	4	no	—
145	#120×C₇₃	—	4	4	no	—
146	C₄×Q₈×C₇₃	—	4	2	no	—
147	C₄×D₄×C₇₃	—	2	4	no	—
148	C₄×D₄×C₇₃	—	2	4	no	—
149	C₄×D₄×C₇₃	—	4	2	no	—
150	C₄×D₄×C₇₃	—	4	2	no	—
151	C₄×D₄×C₇₃	—	4	2	no	—
152	#117×C₇₃	—	4	4	no	—
153	#117×C₇₃	—	4	4	no	—
154	#117×C₇₃	—	4	2	no	—
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	1	yes	characteristic
160	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
161	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
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	1	yes	characteristic
166	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
167	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
168	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
169	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
170	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
172	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₇₃	—	2	8	no	—
174	C₂×C₂²⋊C₄×C₇₃	—	4	4	no	—
175	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
176	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
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	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	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	1	yes	characteristic
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	1	yes	characteristic
194	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
207	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
215	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
217	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
218	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
219	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
220	#95×C₇₃	C₂³	1	1	yes	characteristic
221	#95×C₇₃	C₂³	1	1	yes	characteristic
222	#95×C₇₃	C₂³	1	1	yes	characteristic
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	2	yes	—
227	#95×C₇₃	C₂³	1	2	yes	—
228	#95×C₇₃	C₂³	1	2	yes	—
229	#95×C₇₃	C₂³	1	1	yes	characteristic
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	2	yes	—
234	#95×C₇₃	C₂³	1	2	yes	—
235	#95×C₇₃	C₂³	1	2	yes	—
236	#95×C₇₃	C₂³	1	2	yes	—
237	#95×C₇₃	C₂³	1	2	yes	—
238	#95×C₇₃	C₂³	1	2	yes	—
239	#95×C₇₃	C₂³	1	2	yes	—
240	#95×C₇₃	C₂³	1	2	yes	—
241	#95×C₇₃	C₂³	1	2	yes	—
242	C₂⁴×C₇₃	—	2	4	no	—
243	C₂⁴×C₇₃	—	2	4	no	—
244	C₂⁴×C₇₃	—	2	4	no	—
245	C₂⁴×C₇₃	—	4	2	no	—
246	C₂⁴×C₇₃	—	4	2	no	—
247	C₂⁴×C₇₃	—	4	2	no	—
248	C₂⁴×C₇₃	—	4	2	no	—
249	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
250	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
251	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
252	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
253	C₂×Q₈×C₇₃	—	2	2	no	—
254	C₂×Q₈×C₇₃	—	2	2	no	—
255	C₂×Q₈×C₇₃	—	4	1	no	—
256	C₂×D₄×C₇₃	—	2	2	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	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	—	2	2	no	—
266	C₂×D₄×C₇₃	—	4	1	no	—
267	C₂×D₄×C₇₃	—	4	2	no	—
268	C₂×D₄×C₇₃	—	4	2	no	—
269	C₂×D₄×C₇₃	—	4	2	no	—
270	C₂×D₄×C₇₃	—	4	2	no	—
271	C₂×D₄×C₇₃	—	4	2	no	—
272	C₂×D₄×C₇₃	—	4	16	no	—
273	C₂×D₄×C₇₃	#41	1	4	yes	—
274	C₂×D₄×C₇₃	#41	1	4	yes	—
275	C₂²×C₄×C₇₃	—	2	4	no	—
276	C₂²×C₄×C₇₃	—	2	4	no	—
277	C₂²×C₄×C₇₃	—	2	4	no	—
278	C₂²×C₄×C₇₃	—	2	2	no	—
279	C₂²×C₄×C₇₃	—	2	2	no	—
280	C₂²×C₄×C₇₃	—	2	2	no	—
281	C₂²×C₄×C₇₃	—	2	2	no	—
282	C₂²×C₄×C₇₃	—	2	4	no	—
283	C₂²×C₄×C₇₃	—	2	2	no	—
284	C₂²×C₄×C₇₃	—	2	2	no	—
285	C₂²×C₄×C₇₃	—	2	4	no	—
286	C₂²×C₄×C₇₃	—	4	2	no	—
287	C₂²×C₄×C₇₃	—	4	2	no	—
288	C₂²×C₄×C₇₃	—	4	2	no	—
289	C₂²×C₄×C₇₃	—	4	2	no	—
290	C₂²×C₄×C₇₃	—	4	2	no	—
291	C₂²×C₄×C₇₃	—	4	2	no	—
292	C₂²×C₄×C₇₃	—	4	2	no	—
293	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
294	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
300	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
304	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
305	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
309	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
312	C₄⋊C₄×C₇₃	—	2	2	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	2	no	—
318	C₄⋊C₄×C₇₃	—	2	4	no	—
319	C₄⋊C₄×C₇₃	—	2	4	no	—
320	C₄⋊C₄×C₇₃	—	4	2	no	—
321	C₄⋊C₄×C₇₃	—	4	2	no	—
322	C₄⋊C₄×C₇₃	—	4	2	no	—
323	C₄⋊C₄×C₇₃	—	4	1	no	—
324	C₄⋊C₄×C₇₃	—	4	1	no	—
325	C₄⋊C₄×C₇₃	—	4	1	no	—
326	C₄⋊C₄×C₇₃	—	4	1	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	4	no	—
333	C₂²⋊C₄×C₇₃	—	2	4	no	—
334	C₂²⋊C₄×C₇₃	—	2	4	no	—
335	C₂²⋊C₄×C₇₃	—	2	2	no	—
336	C₂²⋊C₄×C₇₃	—	2	4	no	—
337	C₂²⋊C₄×C₇₃	—	2	4	no	—
338	C₂²⋊C₄×C₇₃	—	2	2	no	—
339	C₂²⋊C₄×C₇₃	—	2	2	no	—
340	C₂²⋊C₄×C₇₃	—	2	2	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	—	2	2	no	—
345	C₂²⋊C₄×C₇₃	—	4	2	no	—
346	C₂²⋊C₄×C₇₃	—	4	2	no	—
347	C₂²⋊C₄×C₇₃	—	4	1	no	—
348	C₂²⋊C₄×C₇₃	—	4	2	no	—
349	C₂²⋊C₄×C₇₃	—	4	2	no	—
350	C₂²⋊C₄×C₇₃	—	4	1	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	1	no	—
355	C₂²⋊C₄×C₇₃	—	4	2	no	—
356	C₂²⋊C₄×C₇₃	—	4	1	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	#41	1	4	yes	—
363	C₄²×C₇₃	—	2	2	no	—
364	C₄²×C₇₃	—	2	2	no	—
365	C₄²×C₇₃	—	2	2	no	—
366	C₄²×C₇₃	—	2	2	no	—
367	C₄²×C₇₃	—	2	2	no	—
368	C₄²×C₇₃	—	2	2	no	—
369	C₄²×C₇₃	—	2	2	no	—
370	C₄²×C₇₃	—	2	2	no	—
371	C₄²×C₇₃	—	4	1	no	—
372	C₄²×C₇₃	—	4	2	no	—
373	C₄²×C₇₃	—	4	2	no	—
374	C₄²×C₇₃	—	4	2	no	—
375	C₂³×C₇₃	—	2	2	no	—
376	C₂³×C₇₃	—	2	2	no	—
377	C₂³×C₇₃	—	2	1	no	—
378	C₂³×C₇₃	—	2	1	no	—
379	C₂³×C₇₃	—	2	2	no	—
380	C₂³×C₇₃	—	2	2	no	—
381	C₂³×C₇₃	—	2	2	no	—
382	C₂³×C₇₃	—	2	1	no	—
383	C₂³×C₇₃	—	2	2	no	—
384	C₂³×C₇₃	—	2	2	no	—
385	C₂³×C₇₃	—	2	1	no	—
386	C₂³×C₇₃	—	2	2	no	—
387	C₂³×C₇₃	—	2	1	no	—
388	C₂³×C₇₃	—	2	2	no	—
389	C₂³×C₇₃	—	2	2	no	—
390	C₂³×C₇₃	—	2	2	no	—
391	C₂³×C₇₃	—	2	2	no	—
392	C₂³×C₇₃	—	2	1	no	—
393	C₂³×C₇₃	—	2	1	no	—
394	C₂³×C₇₃	—	2	1	no	—
395	C₂³×C₇₃	—	2	1	no	—
396	C₂³×C₇₃	—	2	1	no	—
397	C₂³×C₇₃	—	2	1	no	—
398	C₂³×C₇₃	—	2	1	no	—
399	C₂³×C₇₃	—	2	1	no	—
400	C₂³×C₇₃	—	4	8	no	—
401	C₂³×C₇₃	—	4	8	no	—
402	C₂³×C₇₃	—	4	8	no	—
403	C₂³×C₇₃	—	8	4	no	—
404	C₂³×C₇₃	—	8	4	no	—
405	C₂³×C₇₃	—	8	4	no	—
406	C₂³×C₇₃	—	8	4	no	—
407	C₂³×C₇₃	C₂×#41	1	2	yes	—
408	C₂³×C₇₃	C₂×#41	1	4	yes	—
409	C₂³×C₇₃	C₂×#41	1	4	yes	—
410	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
411	Q₈×C₇₃	—	4	4	no	—
412	D₄×C₇₃	—	2	8	no	—
413	D₄×C₇₃	—	2	8	no	—
414	D₄×C₇₃	—	4	4	no	—
415	D₄×C₇₃	—	4	8	no	—
416	D₄×C₇₃	—	8	4	no	—
417	D₄×C₇₃	—	8	4	no	—
418	C₂×C₄×C₇₃	—	2	1	no	—
419	C₂×C₄×C₇₃	—	2	1	no	—
420	C₂×C₄×C₇₃	—	2	1	no	—
421	C₂×C₄×C₇₃	—	2	1	no	—
422	C₂×C₄×C₇₃	—	2	1	no	—
423	C₂×C₄×C₇₃	—	2	1	no	—
424	C₂×C₄×C₇₃	—	2	1	no	—
425	C₂×C₄×C₇₃	—	2	1	no	—
426	C₂×C₄×C₇₃	—	2	1	no	—
427	C₂×C₄×C₇₃	—	2	1	no	—
428	C₂×C₄×C₇₃	—	2	1	no	—
429	C₂×C₄×C₇₃	—	2	1	no	—
430	C₂×C₄×C₇₃	—	2	1	no	—
431	C₂×C₄×C₇₃	—	2	2	no	—
432	C₂×C₄×C₇₃	—	2	2	no	—
433	C₂×C₄×C₇₃	—	2	1	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	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	1	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	2	no	—
450	C₂×C₄×C₇₃	—	2	2	no	—
451	C₂×C₄×C₇₃	—	2	2	no	—
452	C₂×C₄×C₇₃	—	2	2	no	—
453	C₂×C₄×C₇₃	—	2	1	no	—
454	C₂×C₄×C₇₃	—	2	1	no	—
455	C₂×C₄×C₇₃	—	2	2	no	—
456	C₂×C₄×C₇₃	—	2	2	no	—
457	C₂×C₄×C₇₃	—	2	2	no	—
458	C₂×C₄×C₇₃	—	2	1	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	1	no	—
464	C₂×C₄×C₇₃	—	2	1	no	—
465	C₂×C₄×C₇₃	—	2	2	no	—
466	C₂×C₄×C₇₃	—	2	2	no	—
467	C₂×C₄×C₇₃	—	2	1	no	—
468	C₂×C₄×C₇₃	—	4	8	no	—
469	C₂×C₄×C₇₃	—	4	8	no	—
470	C₂×C₄×C₇₃	—	4	4	no	—
471	C₂×C₄×C₇₃	—	4	4	no	—
472	C₂×C₄×C₇₃	—	8	4	no	—
473	C₂×C₄×C₇₃	—	8	4	no	—
474	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
475	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
476	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
477	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
478	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
479	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
480	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
481	C₂²×C₇₃	—	2	4	no	—
482	C₂²×C₇₃	—	2	4	no	—
483	C₂²×C₇₃	—	2	2	no	—
484	C₂²×C₇₃	—	2	4	no	—
485	C₂²×C₇₃	—	2	4	no	—
486	C₂²×C₇₃	—	2	2	no	—
487	C₂²×C₇₃	—	2	4	no	—
488	C₂²×C₇₃	—	2	4	no	—
489	C₂²×C₇₃	—	2	2	no	—
490	C₂²×C₇₃	—	4	1	no	—
491	C₂²×C₇₃	—	4	2	no	—
492	C₂²×C₇₃	—	4	2	no	—
493	C₂²×C₇₃	—	4	2	no	—
494	C₂²×C₇₃	—	4	1	no	—
495	C₂²×C₇₃	—	4	2	no	—
496	C₂²×C₇₃	—	4	2	no	—
497	C₂²×C₇₃	—	4	2	no	—
498	C₂²×C₇₃	—	4	1	no	—
499	C₂²×C₇₃	—	4	2	no	—
500	C₂²×C₇₃	—	4	2	no	—
501	C₂²×C₇₃	—	4	1	no	—
502	C₂²×C₇₃	—	4	1	no	—
503	C₂²×C₇₃	—	4	1	no	—
504	C₂²×C₇₃	—	4	1	no	—
505	C₂²×C₇₃	—	4	1	no	—
506	C₂²×C₇₃	—	4	1	no	—
507	C₂²×C₇₃	—	4	1	no	—
508	C₂²×C₇₃	—	4	1	no	—
509	C₂²×C₇₃	—	8	16	no	—
510	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
511	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
512	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
513	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
514	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
515	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
516	C₂²×C₇₃	#585	1	1	yes	characteristic
517	C₄×C₇₃	—	2	2	no	—
518	C₄×C₇₃	—	2	2	no	—
519	C₄×C₇₃	—	2	2	no	—
520	C₄×C₇₃	—	2	2	no	—
521	C₄×C₇₃	—	4	1	no	—
522	C₄×C₇₃	—	4	1	no	—
523	C₄×C₇₃	—	4	1	no	—
524	C₄×C₇₃	—	4	2	no	—
525	C₄×C₇₃	—	4	1	no	—
526	C₄×C₇₃	—	4	2	no	—
527	C₄×C₇₃	—	4	2	no	—
528	C₄×C₇₃	—	4	2	no	—
529	C₄×C₇₃	—	4	2	no	—
530	C₄×C₇₃	—	4	1	no	—
531	C₄×C₇₃	—	4	1	no	—
532	C₄×C₇₃	—	4	1	no	—
533	C₄×C₇₃	—	4	2	no	—
534	C₄×C₇₃	—	4	1	no	—
535	C₄×C₇₃	#551	1	4	yes	—
536	#59562	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
537	C₂×C₇₃	—	4	4	no	—
538	C₂×C₇₃	—	4	4	no	—
539	C₂×C₇₃	—	4	2	no	—
540	C₂×C₇₃	—	8	1	no	—
541	C₂×C₇₃	C₂×#551	1	1	yes	characteristic
542	C₂×C₇₃	#3475	1	1	yes	characteristic
543	C₂×C₇₃	#3481	1	1	yes	characteristic
544	C₂×C₇₃	#3514	1	1	yes	characteristic
545	C₂×C₇₃	#3519	1	1	yes	characteristic
546	C₂×C₇₃	#3519	1	1	yes	characteristic
547	C₂×C₇₃	#3546	1	1	yes	characteristic
548	#2778	C₂×C₇₃	1	2	yes	complemented
549	#2735	C₂×C₇₃	1	2	yes	complemented
550	#2580	C₂×C₇₃	1	1	yes	characteristic, complemented
551	#2576	C₂×C₇₃	1	2	yes	complemented
552	#2538	C₂×C₇₃	1	1	yes	characteristic, complemented
553	#2497	C₂×C₇₃	1	1	yes	characteristic, complemented
554	#2494	C₂×C₇₃	1	1	yes	characteristic, complemented
555	#2485	C₂×C₇₃	1	1	yes	characteristic, complemented
556	#2477	C₂×C₇₃	1	2	yes	complemented
557	#2472	C₂×C₇₃	1	2	yes	complemented
558	#2471	C₂×C₇₃	1	2	yes	complemented
559	#2422	C₂×C₇₃	1	1	yes	characteristic, complemented
560	#2420	C₂×C₇₃	1	1	yes	characteristic, complemented
561	#2411	C₂×C₇₃	1	2	yes	complemented
562	#2408	C₂×C₇₃	1	1	yes	characteristic
563	#2363	C₂×C₇₃	1	1	yes	characteristic, complemented
564	#2363	C₂×C₇₃	1	1	yes	characteristic, complemented
565	#2342	C₂×C₇₃	1	2	yes	complemented
566	D₄×C₂²⋊C₄	C₂×C₇₃	1	1	yes	characteristic, complemented
567	D₄×C₂²⋊C₄	C₂×C₇₃	1	1	yes	characteristic, complemented
568	C₄×#124	C₂×C₇₃	1	1	yes	characteristic, complemented
569	#2293	C₂×C₇₃	1	1	yes	characteristic, complemented
570	#2293	C₂×C₇₃	1	1	yes	characteristic, complemented
571	C₇₃	#59562	1	1	yes	characteristic, direct product factor, Sylow
572	C₂³×D₄	C₂²×C₇₃	1	1	yes	characteristic
573	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
574	C₂×#123	C₂²×C₇₃	1	2	yes	complemented
575	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	complemented
576	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
577	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
578	C₂×#120	C₂²×C₇₃	1	2	yes	—
579	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
580	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
581	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
582	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
583	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
584	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
585	C₂×#117	C₂²×C₇₃	1	2	yes	complemented
586	C₂×#117	C₂²×C₇₃	1	1	yes	characteristic, complemented
587	C₂×#117	C₂²×C₇₃	1	2	yes	complemented
588	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
589	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
590	#401	C₂²×C₇₃	1	2	yes	complemented
591	#400	C₂²×C₇₃	1	2	yes	complemented
592	#399	C₂²×C₇₃	1	2	yes	complemented
593	#397	C₂²×C₇₃	1	2	yes	—
594	#397	C₂²×C₇₃	1	2	yes	complemented
595	#397	C₂²×C₇₃	1	2	yes	complemented
596	#397	C₂²×C₇₃	1	2	yes	complemented
597	#396	C₂²×C₇₃	1	2	yes	—
598	#396	C₂²×C₇₃	1	2	yes	complemented
599	#396	C₂²×C₇₃	1	2	yes	complemented
600	#394	C₂²×C₇₃	1	2	yes	—
601	#394	C₂²×C₇₃	1	2	yes	—
602	#394	C₂²×C₇₃	1	2	yes	complemented
603	#394	C₂²×C₇₃	1	2	yes	complemented
604	#393	C₂²×C₇₃	1	2	yes	complemented
605	#392	C₂²×C₇₃	1	2	yes	—
606	#391	C₂²×C₇₃	1	1	yes	characteristic, complemented
607	#390	C₂²×C₇₃	1	1	yes	characteristic
608	#390	C₂²×C₇₃	1	1	yes	characteristic
609	#390	C₂²×C₇₃	1	1	yes	characteristic
610	#390	C₂²×C₇₃	1	1	yes	characteristic
611	#390	C₂²×C₇₃	1	1	yes	characteristic
612	#390	C₂²×C₇₃	1	1	yes	characteristic
613	#390	C₂²×C₇₃	1	1	yes	characteristic
614	#390	C₂²×C₇₃	1	2	yes	complemented
615	#390	C₂²×C₇₃	1	2	yes	complemented
616	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
617	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
618	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
619	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
620	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
621	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
622	#388	C₂²×C₇₃	1	1	yes	characteristic
623	#388	C₂²×C₇₃	1	2	yes	—
624	#388	C₂²×C₇₃	1	2	yes	—
625	#388	C₂²×C₇₃	1	2	yes	—
626	#388	C₂²×C₇₃	1	1	yes	characteristic
627	#388	C₂²×C₇₃	1	2	yes	complemented
628	#388	C₂²×C₇₃	1	2	yes	complemented
629	#388	C₂²×C₇₃	1	2	yes	complemented
630	#388	C₂²×C₇₃	1	2	yes	complemented
631	#388	C₂²×C₇₃	1	1	yes	characteristic, complemented
632	#388	C₂²×C₇₃	1	2	yes	complemented
633	#388	C₂²×C₇₃	1	2	yes	complemented
634	#388	C₂²×C₇₃	1	1	yes	characteristic, complemented
635	#387	C₂²×C₇₃	1	2	yes	complemented
636	#387	C₂²×C₇₃	1	2	yes	complemented
637	#387	C₂²×C₇₃	1	2	yes	complemented
638	#386	C₂²×C₇₃	1	2	yes	—
639	#386	C₂²×C₇₃	1	2	yes	—
640	#386	C₂²×C₇₃	1	2	yes	—
641	#386	C₂²×C₇₃	1	2	yes	—
642	#386	C₂²×C₇₃	1	2	yes	complemented
643	#386	C₂²×C₇₃	1	2	yes	complemented
644	#386	C₂²×C₇₃	1	2	yes	complemented
645	#385	C₂²×C₇₃	1	2	yes	complemented
646	#385	C₂²×C₇₃	1	2	yes	complemented
647	#385	C₂²×C₇₃	1	2	yes	complemented
648	#384	C₂²×C₇₃	1	1	yes	characteristic, complemented
649	#382	C₂²×C₇₃	1	1	yes	characteristic, complemented
650	#382	C₂²×C₇₃	1	1	yes	characteristic, complemented
651	#381	C₂²×C₇₃	1	2	yes	complemented
652	#380	C₂²×C₇₃	1	1	yes	characteristic
653	#380	C₂²×C₇₃	1	1	yes	characteristic
654	#380	C₂²×C₇₃	1	1	yes	characteristic
655	#380	C₂²×C₇₃	1	2	yes	complemented
656	#380	C₂²×C₇₃	1	1	yes	characteristic, complemented
657	#379	C₂²×C₇₃	1	2	yes	—
658	#379	C₂²×C₇₃	1	2	yes	—
659	#379	C₂²×C₇₃	1	2	yes	—
660	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
661	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
662	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
663	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
664	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
665	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
666	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
667	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
668	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
669	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
670	C₄³	C₂²×C₇₃	1	1	yes	characteristic, complemented
671	C₂⁵	C₂³×C₇₃	1	2	yes	—
672	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
673	C₂²×D₄	—	2	4	no	—
674	C₂²×D₄	—	2	4	no	—
675	C₂²×D₄	—	4	2	no	—
676	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
677	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
678	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
679	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
680	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
681	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
682	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
683	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
684	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
685	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
686	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
687	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
688	#124	—	2	4	no	—
689	#123	—	4	4	no	—
690	C₂²⋊Q₈	—	4	4	no	—
691	#121	—	2	4	no	—
692	#121	—	2	4	no	—
693	#120	—	4	4	no	—
694	C₄×Q₈	—	4	2	no	—
695	C₄×D₄	—	2	4	no	—
696	C₄×D₄	—	2	4	no	—
697	C₄×D₄	—	4	2	no	—
698	C₄×D₄	—	4	2	no	—
699	C₄×D₄	—	4	2	no	—
700	#117	—	4	4	no	—
701	#117	—	4	4	no	—
702	#117	—	4	2	no	—
703	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
704	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
706	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
707	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
709	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
710	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
711	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
712	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
713	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
714	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
716	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
717	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
718	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
719	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
720	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
721	C₂×C₂²⋊C₄	—	2	8	no	—
722	C₂×C₂²⋊C₄	—	4	4	no	—
723	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
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	1	yes	characteristic
735	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
736	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
737	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
738	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
739	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
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	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
756	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
757	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
758	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
759	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
760	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
761	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
762	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
763	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
764	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
765	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
766	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
767	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
768	#95	C₂³×C₇₃	1	1	yes	characteristic
769	#95	C₂³×C₇₃	1	1	yes	characteristic
770	#95	C₂³×C₇₃	1	1	yes	characteristic
771	#95	C₂³×C₇₃	1	1	yes	characteristic
772	#95	C₂³×C₇₃	1	1	yes	characteristic
773	#95	C₂³×C₇₃	1	1	yes	characteristic
774	#95	C₂³×C₇₃	1	2	yes	—
775	#95	C₂³×C₇₃	1	2	yes	—
776	#95	C₂³×C₇₃	1	2	yes	—
777	#95	C₂³×C₇₃	1	1	yes	characteristic
778	#95	C₂³×C₇₃	1	2	yes	—
779	#95	C₂³×C₇₃	1	2	yes	—
780	#95	C₂³×C₇₃	1	1	yes	characteristic
781	#95	C₂³×C₇₃	1	2	yes	—
782	#95	C₂³×C₇₃	1	2	yes	—
783	#95	C₂³×C₇₃	1	2	yes	—
784	#95	C₂³×C₇₃	1	2	yes	—
785	#95	C₂³×C₇₃	1	2	yes	—
786	#95	C₂³×C₇₃	1	2	yes	—
787	#95	C₂³×C₇₃	1	2	yes	—
788	#95	C₂³×C₇₃	1	2	yes	—
789	#95	C₂³×C₇₃	1	2	yes	—
790	C₂⁴	—	2	4	no	—
791	C₂⁴	—	2	4	no	—
792	C₂⁴	—	2	4	no	—
793	C₂⁴	—	4	2	no	—
794	C₂⁴	—	4	2	no	—
795	C₂⁴	—	4	2	no	—
796	C₂⁴	—	4	2	no	—
797	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
798	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
799	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
800	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
801	C₂×Q₈	—	2	2	no	—
802	C₂×Q₈	—	2	2	no	—
803	C₂×Q₈	—	4	1	no	—
804	C₂×D₄	—	2	2	no	—
805	C₂×D₄	—	2	4	no	—
806	C₂×D₄	—	2	4	no	—
807	C₂×D₄	—	2	4	no	—
808	C₂×D₄	—	2	4	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	2	2	no	—
813	C₂×D₄	—	2	2	no	—
814	C₂×D₄	—	4	1	no	—
815	C₂×D₄	—	4	2	no	—
816	C₂×D₄	—	4	2	no	—
817	C₂×D₄	—	4	2	no	—
818	C₂×D₄	—	4	2	no	—
819	C₂×D₄	—	4	2	no	—
820	C₂×D₄	—	4	16	no	—
821	C₂×D₄	#41×C₇₃	1	4	yes	—
822	C₂×D₄	#41×C₇₃	1	4	yes	—
823	C₂²×C₄	—	2	4	no	—
824	C₂²×C₄	—	2	4	no	—
825	C₂²×C₄	—	2	4	no	—
826	C₂²×C₄	—	2	2	no	—
827	C₂²×C₄	—	2	2	no	—
828	C₂²×C₄	—	2	2	no	—
829	C₂²×C₄	—	2	2	no	—
830	C₂²×C₄	—	2	4	no	—
831	C₂²×C₄	—	2	2	no	—
832	C₂²×C₄	—	2	2	no	—
833	C₂²×C₄	—	2	4	no	—
834	C₂²×C₄	—	4	2	no	—
835	C₂²×C₄	—	4	2	no	—
836	C₂²×C₄	—	4	2	no	—
837	C₂²×C₄	—	4	2	no	—
838	C₂²×C₄	—	4	2	no	—
839	C₂²×C₄	—	4	2	no	—
840	C₂²×C₄	—	4	2	no	—
841	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
842	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
843	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
845	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
846	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
847	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
848	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
849	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
850	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
851	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
852	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
853	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
854	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
856	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
858	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
859	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
860	C₄⋊C₄	—	2	2	no	—
861	C₄⋊C₄	—	2	2	no	—
862	C₄⋊C₄	—	2	2	no	—
863	C₄⋊C₄	—	2	2	no	—
864	C₄⋊C₄	—	2	2	no	—
865	C₄⋊C₄	—	2	2	no	—
866	C₄⋊C₄	—	2	4	no	—
867	C₄⋊C₄	—	2	4	no	—
868	C₄⋊C₄	—	4	2	no	—
869	C₄⋊C₄	—	4	2	no	—
870	C₄⋊C₄	—	4	2	no	—
871	C₄⋊C₄	—	4	1	no	—
872	C₄⋊C₄	—	4	1	no	—
873	C₄⋊C₄	—	4	1	no	—
874	C₄⋊C₄	—	4	1	no	—
875	C₄⋊C₄	—	4	2	no	—
876	C₄⋊C₄	—	4	2	no	—
877	C₄⋊C₄	—	4	2	no	—
878	C₂²⋊C₄	—	2	4	no	—
879	C₂²⋊C₄	—	2	4	no	—
880	C₂²⋊C₄	—	2	4	no	—
881	C₂²⋊C₄	—	2	4	no	—
882	C₂²⋊C₄	—	2	4	no	—
883	C₂²⋊C₄	—	2	2	no	—
884	C₂²⋊C₄	—	2	4	no	—
885	C₂²⋊C₄	—	2	4	no	—
886	C₂²⋊C₄	—	2	2	no	—
887	C₂²⋊C₄	—	2	2	no	—
888	C₂²⋊C₄	—	2	2	no	—
889	C₂²⋊C₄	—	2	4	no	—
890	C₂²⋊C₄	—	2	4	no	—
891	C₂²⋊C₄	—	2	4	no	—
892	C₂²⋊C₄	—	2	2	no	—
893	C₂²⋊C₄	—	4	2	no	—
894	C₂²⋊C₄	—	4	2	no	—
895	C₂²⋊C₄	—	4	1	no	—
896	C₂²⋊C₄	—	4	2	no	—
897	C₂²⋊C₄	—	4	2	no	—
898	C₂²⋊C₄	—	4	1	no	—
899	C₂²⋊C₄	—	4	2	no	—
900	C₂²⋊C₄	—	4	2	no	—
901	C₂²⋊C₄	—	4	2	no	—
902	C₂²⋊C₄	—	4	1	no	—
903	C₂²⋊C₄	—	4	2	no	—
904	C₂²⋊C₄	—	4	1	no	—
905	C₂²⋊C₄	—	4	2	no	—
906	C₂²⋊C₄	—	4	2	no	—
907	C₂²⋊C₄	—	4	2	no	—
908	C₂²⋊C₄	—	4	2	no	—
909	C₂²⋊C₄	—	4	2	no	—
910	C₂²⋊C₄	#41×C₇₃	1	4	yes	—
911	C₄²	—	2	2	no	—
912	C₄²	—	2	2	no	—
913	C₄²	—	2	2	no	—
914	C₄²	—	2	2	no	—
915	C₄²	—	2	2	no	—
916	C₄²	—	2	2	no	—
917	C₄²	—	2	2	no	—
918	C₄²	—	2	2	no	—
919	C₄²	—	4	1	no	—
920	C₄²	—	4	2	no	—
921	C₄²	—	4	2	no	—
922	C₄²	—	4	2	no	—
923	C₂³	—	2	2	no	—
924	C₂³	—	2	2	no	—
925	C₂³	—	2	1	no	—
926	C₂³	—	2	1	no	—
927	C₂³	—	2	2	no	—
928	C₂³	—	2	2	no	—
929	C₂³	—	2	2	no	—
930	C₂³	—	2	1	no	—
931	C₂³	—	2	2	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	1	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	1	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	2	2	no	—
938	C₂³	—	2	2	no	—
939	C₂³	—	2	2	no	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	1	no	—
943	C₂³	—	2	1	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	1	no	—
946	C₂³	—	2	1	no	—
947	C₂³	—	2	1	no	—
948	C₂³	—	4	8	no	—
949	C₂³	—	4	8	no	—
950	C₂³	—	4	8	no	—
951	C₂³	—	8	4	no	—
952	C₂³	—	8	4	no	—
953	C₂³	—	8	4	no	—
954	C₂³	—	8	4	no	—
955	C₂³	C₂×#41×C₇₃	1	2	yes	—
956	C₂³	C₂×#41×C₇₃	1	4	yes	—
957	C₂³	C₂×#41×C₇₃	1	4	yes	—
958	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
959	Q₈	—	4	4	no	—
960	D₄	—	2	8	no	—
961	D₄	—	2	8	no	—
962	D₄	—	4	4	no	—
963	D₄	—	4	8	no	—
964	D₄	—	8	4	no	—
965	D₄	—	8	4	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	1	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	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	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	2	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	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	4	8	no	—
1017	C₂×C₄	—	4	8	no	—
1018	C₂×C₄	—	4	4	no	—
1019	C₂×C₄	—	4	4	no	—
1020	C₂×C₄	—	8	4	no	—
1021	C₂×C₄	—	8	4	no	—
1022	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1023	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1024	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1025	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1026	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1027	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1028	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1029	C₂²	—	2	4	no	—
1030	C₂²	—	2	4	no	—
1031	C₂²	—	2	2	no	—
1032	C₂²	—	2	4	no	—
1033	C₂²	—	2	4	no	—
1034	C₂²	—	2	2	no	—
1035	C₂²	—	2	4	no	—
1036	C₂²	—	2	4	no	—
1037	C₂²	—	2	2	no	—
1038	C₂²	—	4	1	no	—
1039	C₂²	—	4	2	no	—
1040	C₂²	—	4	2	no	—
1041	C₂²	—	4	1	no	—
1042	C₂²	—	4	2	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	1	no	—
1045	C₂²	—	4	2	no	—
1046	C₂²	—	4	2	no	—
1047	C₂²	—	4	2	no	—
1048	C₂²	—	4	1	no	—
1049	C₂²	—	4	2	no	—
1050	C₂²	—	4	1	no	—
1051	C₂²	—	4	1	no	—
1052	C₂²	—	4	1	no	—
1053	C₂²	—	4	1	no	—
1054	C₂²	—	4	1	no	—
1055	C₂²	—	4	1	no	—
1056	C₂²	—	4	1	no	—
1057	C₂²	—	8	16	no	—
1058	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1059	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1060	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1061	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1062	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1063	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1064	C₂²	#585×C₇₃	1	1	yes	characteristic
1065	C₄	—	2	2	no	—
1066	C₄	—	2	2	no	—
1067	C₄	—	2	2	no	—
1068	C₄	—	2	2	no	—
1069	C₄	—	4	1	no	—
1070	C₄	—	4	1	no	—
1071	C₄	—	4	1	no	—
1072	C₄	—	4	2	no	—
1073	C₄	—	4	2	no	—
1074	C₄	—	4	1	no	—
1075	C₄	—	4	2	no	—
1076	C₄	—	4	2	no	—
1077	C₄	—	4	2	no	—
1078	C₄	—	4	1	no	—
1079	C₄	—	4	1	no	—
1080	C₄	—	4	2	no	—
1081	C₄	—	4	1	no	—
1082	C₄	—	4	1	no	—
1083	C₄	#551×C₇₃	1	4	yes	—
1084	C₂	—	4	2	no	—
1085	C₂	—	4	4	no	—
1086	C₂	—	4	4	no	—
1087	C₂	—	8	1	no	—
1088	C₂	C₂×#551×C₇₃	1	1	yes	characteristic
1089	C₂	C₇₃×#3475	1	1	yes	characteristic
1090	C₂	C₇₃×#3481	1	1	yes	characteristic
1091	C₂	C₇₃×#3514	1	1	yes	characteristic
1092	C₂	C₇₃×#3519	1	1	yes	characteristic
1093	C₂	C₇₃×#3519	1	1	yes	characteristic
1094	C₂	C₇₃×#3546	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₃
prime radical	C₇₃×#2408	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×#2778	C₂	semidirect
2. C₇₃×#2735	C₂	semidirect
3. C₇₃×#2580	C₂	semidirect
4. C₇₃×#2576	C₂	semidirect
5. C₇₃×#2538	C₂	semidirect
6. C₇₃×#2497	C₂	semidirect
7. C₇₃×#2494	C₂	semidirect
8. C₇₃×#2485	C₂	semidirect
9. C₇₃×#2477	C₂	semidirect
10. C₇₃×#2472	C₂	semidirect
11. C₇₃×#2471	C₂	semidirect
12. C₇₃×#2422	C₂	semidirect
13. C₇₃×#2420	C₂	semidirect
14. C₇₃×#2411	C₂	semidirect
16. C₇₃×#2363	C₂	semidirect
17. C₇₃×#2363	C₂	semidirect
18. C₇₃×#2342	C₂	semidirect
19. D₄×C₂²⋊C₄×C₇₃	C₂	semidirect
20. D₄×C₂²⋊C₄×C₇₃	C₂	semidirect
21. C₄×#124×C₇₃	C₂	semidirect
22. C₇₃×#2293	C₂	semidirect
23. C₇₃×#2293	C₂	semidirect
26. C₂×#123×C₇₃	C₂²	semidirect
27. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
31. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
37. C₂×#117×C₇₃	C₂²	semidirect
38. C₂×#117×C₇₃	C₂²	semidirect
39. C₂×#117×C₇₃	C₂²	semidirect
42. #401×C₇₃	C₂²	semidirect
43. #400×C₇₃	C₂²	semidirect
44. #399×C₇₃	C₂²	semidirect
46. #397×C₇₃	C₂²	semidirect
47. #397×C₇₃	C₂²	semidirect
48. #397×C₇₃	C₂²	semidirect
50. #396×C₇₃	C₂²	semidirect
51. #396×C₇₃	C₂²	semidirect
54. #394×C₇₃	C₂²	semidirect
55. #394×C₇₃	C₂²	semidirect
56. #393×C₇₃	C₂²	semidirect
58. #391×C₇₃	C₂²	semidirect
66. #390×C₇₃	C₂²	semidirect
67. #390×C₇₃	C₂²	semidirect
68. #389×C₇₃	C₂²	semidirect
69. #389×C₇₃	C₂²	semidirect
70. #389×C₇₃	C₂²	semidirect
71. #389×C₇₃	C₂²	semidirect
72. #389×C₇₃	C₂²	semidirect
73. #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. #387×C₇₃	C₂²	semidirect
88. #387×C₇₃	C₂²	semidirect
89. #387×C₇₃	C₂²	semidirect
94. #386×C₇₃	C₂²	semidirect
95. #386×C₇₃	C₂²	semidirect
96. #386×C₇₃	C₂²	semidirect
97. #385×C₇₃	C₂²	semidirect
98. #385×C₇₃	C₂²	semidirect
99. #385×C₇₃	C₂²	semidirect
100. #384×C₇₃	C₂²	semidirect
101. #382×C₇₃	C₂²	semidirect
102. #382×C₇₃	C₂²	semidirect
103. #381×C₇₃	C₂²	semidirect
107. #380×C₇₃	C₂²	semidirect
108. #380×C₇₃	C₂²	semidirect
112. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
113. C₄×C₄⋊C₄×C₇₃	C₂²	semidirect
116. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
117. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
118. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
119. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
122. C₄³×C₇₃	C₂²	semidirect
536. #59562	C₇₃	direct (N × H)
548. #2778	C₂×C₇₃	semidirect
549. #2735	C₂×C₇₃	semidirect
550. #2580	C₂×C₇₃	semidirect
551. #2576	C₂×C₇₃	semidirect
552. #2538	C₂×C₇₃	semidirect
553. #2497	C₂×C₇₃	semidirect
554. #2494	C₂×C₇₃	semidirect
555. #2485	C₂×C₇₃	semidirect
556. #2477	C₂×C₇₃	semidirect
557. #2472	C₂×C₇₃	semidirect
558. #2471	C₂×C₇₃	semidirect
559. #2422	C₂×C₇₃	semidirect
560. #2420	C₂×C₇₃	semidirect
561. #2411	C₂×C₇₃	semidirect
563. #2363	C₂×C₇₃	semidirect
564. #2363	C₂×C₇₃	semidirect
565. #2342	C₂×C₇₃	semidirect
566. D₄×C₂²⋊C₄	C₂×C₇₃	semidirect
567. D₄×C₂²⋊C₄	C₂×C₇₃	semidirect
568. C₄×#124	C₂×C₇₃	semidirect
569. #2293	C₂×C₇₃	semidirect
570. #2293	C₂×C₇₃	semidirect
571. C₇₃	#59562	direct (N × H)
574. C₂×#123	C₂²×C₇₃	semidirect
575. C₂×C₂²⋊Q₈	C₂²×C₇₃	semidirect
579. C₂×C₄×Q₈	C₂²×C₇₃	semidirect
585. C₂×#117	C₂²×C₇₃	semidirect
586. C₂×#117	C₂²×C₇₃	semidirect
587. C₂×#117	C₂²×C₇₃	semidirect
590. #401	C₂²×C₇₃	semidirect
591. #400	C₂²×C₇₃	semidirect
592. #399	C₂²×C₇₃	semidirect
594. #397	C₂²×C₇₃	semidirect
595. #397	C₂²×C₇₃	semidirect
596. #397	C₂²×C₇₃	semidirect
598. #396	C₂²×C₇₃	semidirect
599. #396	C₂²×C₇₃	semidirect
602. #394	C₂²×C₇₃	semidirect
603. #394	C₂²×C₇₃	semidirect
604. #393	C₂²×C₇₃	semidirect
606. #391	C₂²×C₇₃	semidirect
614. #390	C₂²×C₇₃	semidirect
615. #390	C₂²×C₇₃	semidirect
616. #389	C₂²×C₇₃	semidirect
617. #389	C₂²×C₇₃	semidirect
618. #389	C₂²×C₇₃	semidirect
619. #389	C₂²×C₇₃	semidirect
620. #389	C₂²×C₇₃	semidirect
621. #389	C₂²×C₇₃	semidirect
627. #388	C₂²×C₇₃	semidirect
628. #388	C₂²×C₇₃	semidirect
629. #388	C₂²×C₇₃	semidirect
630. #388	C₂²×C₇₃	semidirect
631. #388	C₂²×C₇₃	semidirect
632. #388	C₂²×C₇₃	semidirect
633. #388	C₂²×C₇₃	semidirect
634. #388	C₂²×C₇₃	semidirect
635. #387	C₂²×C₇₃	semidirect
636. #387	C₂²×C₇₃	semidirect
637. #387	C₂²×C₇₃	semidirect
642. #386	C₂²×C₇₃	semidirect
643. #386	C₂²×C₇₃	semidirect
644. #386	C₂²×C₇₃	semidirect
645. #385	C₂²×C₇₃	semidirect
646. #385	C₂²×C₇₃	semidirect
647. #385	C₂²×C₇₃	semidirect
648. #384	C₂²×C₇₃	semidirect
649. #382	C₂²×C₇₃	semidirect
650. #382	C₂²×C₇₃	semidirect
651. #381	C₂²×C₇₃	semidirect
655. #380	C₂²×C₇₃	semidirect
656. #380	C₂²×C₇₃	semidirect
660. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
661. C₄×C₄⋊C₄	C₂²×C₇₃	semidirect
664. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
665. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
666. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
667. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
668. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
669. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
670. 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×#2778	2
C₇₃×#2735	2
C₇₃×#2580	2
C₇₃×#2576	2
C₇₃×#2538	2
C₇₃×#2497	2
C₇₃×#2494	2
C₇₃×#2485	2
C₇₃×#2477	2
C₇₃×#2472	2
C₇₃×#2471	2
C₇₃×#2422	2
C₇₃×#2420	2
C₇₃×#2411	2
C₇₃×#2408	2
C₇₃×#2363	2
C₇₃×#2342	2
D₄×C₂²⋊C₄×C₇₃	2
C₄×#124×C₇₃	2
C₇₃×#2293	2
#59562	73

Subgroups — C73×#59562 #32968966

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#59562 #32968966