Subgroups — C₇₃×#36737 #32946141

Order 18688.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#535×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#534×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#2847	C₂	1	2	yes	maximal, complemented
4	C₇₃×#2717	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#2709	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₃×#2708	C₂	1	2	yes	maximal, complemented
7	C₇₃×#2688	C₂	1	2	yes	maximal, complemented
8	C₇₃×#2686	C₂	1	2	yes	maximal, complemented
9	C₇₃×#2684	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₃×#2673	C₂	1	2	yes	maximal, complemented
11	C₇₃×#2671	C₂	1	2	yes	maximal, complemented
12	C₇₃×#2669	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#2668	C₂	1	2	yes	maximal, complemented
14	C₇₃×#2617	C₂	1	2	yes	maximal, complemented
15	C₇₃×#2498	C₂	1	2	yes	maximal, complemented
16	C₇₃×#2430	C₂	1	2	yes	maximal, complemented
17	C₇₃×#2412	C₂	1	2	yes	maximal, complemented
18	C₇₃×#2410	C₂	1	2	yes	maximal, complemented
19	C₂×#386×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic, complemented
21	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic
22	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic
23	C₂⁴×C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
24	#535×C₇₃	—	2	8	no	—
25	#534×C₇₃	—	2	8	no	—
26	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic
27	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic, complemented
28	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
29	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic, complemented
30	C₂×#123×C₇₃	C₂²	1	1	yes	characteristic
31	C₂×#123×C₇₃	C₂²	1	1	yes	characteristic
32	C₂×#123×C₇₃	C₂²	1	2	yes	—
33	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
34	C₂×#121×C₇₃	C₂²	1	2	yes	—
35	C₂×#121×C₇₃	C₂²	1	2	yes	—
36	C₂×#121×C₇₃	C₂²	1	2	yes	—
37	C₂×#121×C₇₃	C₂²	1	2	yes	—
38	C₂×#121×C₇₃	C₂²	1	2	yes	—
39	C₂×#121×C₇₃	C₂²	1	2	yes	complemented
40	C₂×#121×C₇₃	C₂²	1	2	yes	complemented
41	C₂×#121×C₇₃	C₂²	1	2	yes	complemented
42	C₂×#120×C₇₃	C₂²	1	2	yes	—
43	C₂×#120×C₇₃	C₂²	1	2	yes	—
44	C₂×#120×C₇₃	C₂²	1	1	yes	characteristic
45	C₂×#120×C₇₃	C₂²	1	1	yes	characteristic
46	C₂×#120×C₇₃	C₂²	1	2	yes	complemented
47	C₂×#120×C₇₃	C₂²	1	2	yes	complemented
48	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
50	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
51	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
52	#400×C₇₃	C₂²	1	2	yes	complemented
53	#399×C₇₃	C₂²	1	2	yes	complemented
54	#398×C₇₃	C₂²	1	2	yes	complemented
55	#397×C₇₃	C₂²	1	2	yes	complemented
56	#397×C₇₃	C₂²	1	2	yes	complemented
57	#397×C₇₃	C₂²	1	2	yes	complemented
58	#397×C₇₃	C₂²	1	2	yes	complemented
59	#397×C₇₃	C₂²	1	2	yes	complemented
60	#395×C₇₃	C₂²	1	2	yes	complemented
61	#394×C₇₃	C₂²	1	2	yes	complemented
62	#394×C₇₃	C₂²	1	2	yes	complemented
63	#394×C₇₃	C₂²	1	2	yes	complemented
64	#394×C₇₃	C₂²	1	2	yes	complemented
65	#394×C₇₃	C₂²	1	2	yes	complemented
66	#394×C₇₃	C₂²	1	2	yes	complemented
67	#394×C₇₃	C₂²	1	2	yes	complemented
68	#394×C₇₃	C₂²	1	2	yes	complemented
69	#394×C₇₃	C₂²	1	2	yes	complemented
70	#393×C₇₃	C₂²	1	2	yes	complemented
71	#392×C₇₃	C₂²	1	2	yes	complemented
72	#392×C₇₃	C₂²	1	2	yes	complemented
73	#392×C₇₃	C₂²	1	2	yes	complemented
74	#392×C₇₃	C₂²	1	2	yes	complemented
75	#392×C₇₃	C₂²	1	2	yes	complemented
76	#388×C₇₃	C₂²	1	2	yes	complemented
77	#388×C₇₃	C₂²	1	2	yes	complemented
78	#387×C₇₃	C₂²	1	2	yes	complemented
79	#387×C₇₃	C₂²	1	2	yes	complemented
80	#386×C₇₃	C₂²	1	2	yes	—
81	#386×C₇₃	C₂²	1	1	yes	characteristic
82	#386×C₇₃	C₂²	1	1	yes	characteristic
83	#386×C₇₃	C₂²	1	2	yes	—
84	#386×C₇₃	C₂²	1	2	yes	—
85	#386×C₇₃	C₂²	1	2	yes	complemented
86	#386×C₇₃	C₂²	1	2	yes	complemented
87	#386×C₇₃	C₂²	1	2	yes	complemented
88	#386×C₇₃	C₂²	1	1	yes	characteristic, complemented
89	#386×C₇₃	C₂²	1	2	yes	complemented
90	#386×C₇₃	C₂²	1	1	yes	characteristic, complemented
91	#386×C₇₃	C₂²	1	2	yes	complemented
92	#386×C₇₃	C₂²	1	2	yes	complemented
93	#386×C₇₃	C₂²	1	2	yes	complemented
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	#386×C₇₃	C₂²	1	2	yes	complemented
98	#385×C₇₃	C₂²	1	2	yes	complemented
99	#385×C₇₃	C₂²	1	2	yes	complemented
100	#385×C₇₃	C₂²	1	2	yes	complemented
101	#385×C₇₃	C₂²	1	2	yes	complemented
102	#381×C₇₃	C₂²	1	2	yes	complemented
103	#380×C₇₃	C₂²	1	2	yes	complemented
104	#380×C₇₃	C₂²	1	2	yes	complemented
105	#380×C₇₃	C₂²	1	2	yes	complemented
106	#380×C₇₃	C₂²	1	2	yes	complemented
107	#379×C₇₃	C₂²	1	2	yes	complemented
108	C₂×#95×C₇₃	C₂²	1	2	yes	complemented
109	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic
110	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic
111	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic
112	C₂×#41×C₇₃	—	2	4	no	—
113	C₂×#41×C₇₃	—	4	2	no	—
114	C₂×#41×C₇₃	—	4	2	no	—
115	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
116	C₂²×D₄×C₇₃	—	2	4	no	—
117	C₂²×D₄×C₇₃	—	4	2	no	—
118	C₂²×D₄×C₇₃	—	4	2	no	—
119	C₂²×D₄×C₇₃	—	4	2	no	—
120	C₂²×D₄×C₇₃	—	4	2	no	—
121	C₂²×D₄×C₇₃	D₄	1	8	yes	complemented
122	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
123	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
124	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
125	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
126	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
127	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
128	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
129	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
130	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
131	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
132	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
134	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₇₃	—	4	4	no	—
139	C₂³×C₄×C₇₃	—	4	2	no	—
140	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
142	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
144	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
145	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
146	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
147	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
149	#127×C₇₃	—	2	4	no	—
150	#127×C₇₃	—	2	4	no	—
151	#124×C₇₃	—	2	4	no	—
152	#124×C₇₃	—	2	4	no	—
153	#123×C₇₃	—	2	4	no	—
154	#123×C₇₃	—	2	4	no	—
155	#123×C₇₃	—	2	8	no	—
156	#123×C₇₃	—	4	4	no	—
157	#121×C₇₃	—	2	8	no	—
158	#121×C₇₃	—	2	8	no	—
159	#121×C₇₃	—	2	8	no	—
160	#121×C₇₃	—	2	8	no	—
161	#121×C₇₃	—	4	4	no	—
162	#121×C₇₃	—	4	4	no	—
163	#121×C₇₃	—	4	4	no	—
164	#121×C₇₃	—	4	4	no	—
165	#120×C₇₃	—	2	8	no	—
166	#120×C₇₃	—	2	8	no	—
167	#120×C₇₃	—	2	8	no	—
168	#120×C₇₃	—	2	4	no	—
169	#120×C₇₃	—	2	4	no	—
170	#120×C₇₃	—	4	4	no	—
171	#117×C₇₃	—	2	4	no	—
172	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
173	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
174	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
175	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
176	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
178	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
179	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
180	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₇₃	—	2	4	no	—
182	C₂×C₂²⋊C₄×C₇₃	—	4	4	no	—
183	C₂×C₂²⋊C₄×C₇₃	—	4	2	no	—
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	1	yes	characteristic
199	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
203	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
204	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
209	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
213	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
215	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
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	#95×C₇₃	C₂³	1	2	yes	—
224	#95×C₇₃	C₂³	1	2	yes	—
225	#95×C₇₃	C₂³	1	2	yes	—
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	2	yes	—
230	#95×C₇₃	C₂³	1	2	yes	—
231	#95×C₇₃	C₂³	1	2	yes	—
232	#95×C₇₃	C₂³	1	2	yes	—
233	C₂⁴×C₇₃	—	2	2	no	—
234	C₂⁴×C₇₃	—	2	2	no	—
235	C₂⁴×C₇₃	—	2	2	no	—
236	C₂⁴×C₇₃	—	2	2	no	—
237	C₂⁴×C₇₃	—	2	2	no	—
238	C₂⁴×C₇₃	—	4	2	no	—
239	C₂⁴×C₇₃	—	4	2	no	—
240	C₂⁴×C₇₃	—	4	2	no	—
241	C₂⁴×C₇₃	—	4	1	no	—
242	C₂⁴×C₇₃	—	4	1	no	—
243	C₂⁴×C₇₃	—	4	2	no	—
244	C₂⁴×C₇₃	—	4	2	no	—
245	C₂⁴×C₇₃	—	4	2	no	—
246	C₂⁴×C₇₃	C₂×D₄	1	4	yes	—
247	C₂⁴×C₇₃	C₂×D₄	1	4	yes	—
248	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
249	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
250	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
251	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
252	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
253	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
254	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
255	#41×C₇₃	—	4	16	no	—
256	C₂×Q₈×C₇₃	—	2	2	no	—
257	C₂×Q₈×C₇₃	—	4	1	no	—
258	C₂×Q₈×C₇₃	—	4	1	no	—
259	C₂×D₄×C₇₃	—	2	4	no	—
260	C₂×D₄×C₇₃	—	2	4	no	—
261	C₂×D₄×C₇₃	—	2	4	no	—
262	C₂×D₄×C₇₃	—	2	4	no	—
263	C₂×D₄×C₇₃	—	2	4	no	—
264	C₂×D₄×C₇₃	—	2	4	no	—
265	C₂×D₄×C₇₃	—	2	4	no	—
266	C₂×D₄×C₇₃	—	2	4	no	—
267	C₂×D₄×C₇₃	—	2	4	no	—
268	C₂×D₄×C₇₃	—	2	4	no	—
269	C₂×D₄×C₇₃	—	2	4	no	—
270	C₂×D₄×C₇₃	—	2	4	no	—
271	C₂×D₄×C₇₃	—	2	4	no	—
272	C₂×D₄×C₇₃	—	2	2	no	—
273	C₂×D₄×C₇₃	—	2	4	no	—
274	C₂×D₄×C₇₃	—	4	16	no	—
275	C₂×D₄×C₇₃	—	4	1	no	—
276	C₂×D₄×C₇₃	—	4	1	no	—
277	C₂×D₄×C₇₃	—	4	1	no	—
278	C₂×D₄×C₇₃	—	4	1	no	—
279	C₂×D₄×C₇₃	—	4	1	no	—
280	C₂×D₄×C₇₃	—	4	1	no	—
281	C₂×D₄×C₇₃	—	4	1	no	—
282	C₂×D₄×C₇₃	—	4	1	no	—
283	C₂×D₄×C₇₃	—	4	2	no	—
284	C₂×D₄×C₇₃	—	4	2	no	—
285	C₂×D₄×C₇₃	—	4	1	no	—
286	C₂×D₄×C₇₃	—	4	1	no	—
287	C₂×D₄×C₇₃	—	4	2	no	—
288	C₂×D₄×C₇₃	—	4	2	no	—
289	C₂×D₄×C₇₃	—	4	2	no	—
290	C₂×D₄×C₇₃	—	4	2	no	—
291	C₂×D₄×C₇₃	—	4	2	no	—
292	C₂×D₄×C₇₃	—	4	2	no	—
293	C₂×D₄×C₇₃	—	4	2	no	—
294	C₂×D₄×C₇₃	—	4	2	no	—
295	C₂×D₄×C₇₃	—	4	2	no	—
296	C₂×D₄×C₇₃	—	4	2	no	—
297	C₂×D₄×C₇₃	—	4	2	no	—
298	C₂×D₄×C₇₃	—	4	2	no	—
299	C₂×D₄×C₇₃	—	4	2	no	—
300	C₂×D₄×C₇₃	—	4	2	no	—
301	C₂×D₄×C₇₃	—	4	2	no	—
302	C₂×D₄×C₇₃	—	4	2	no	—
303	C₂×D₄×C₇₃	—	4	2	no	—
304	C₂×D₄×C₇₃	—	4	16	no	—
305	C₂×D₄×C₇₃	C₂×D₄	1	4	yes	—
306	C₂×D₄×C₇₃	C₂×D₄	1	4	yes	—
307	C₂×D₄×C₇₃	C₂×D₄	1	4	yes	—
308	C₂×D₄×C₇₃	C₂×D₄	1	4	yes	—
309	C₂²×C₄×C₇₃	—	2	2	no	—
310	C₂²×C₄×C₇₃	—	2	2	no	—
311	C₂²×C₄×C₇₃	—	2	2	no	—
312	C₂²×C₄×C₇₃	—	2	4	no	—
313	C₂²×C₄×C₇₃	—	2	4	no	—
314	C₂²×C₄×C₇₃	—	2	4	no	—
315	C₂²×C₄×C₇₃	—	2	4	no	—
316	C₂²×C₄×C₇₃	—	2	4	no	—
317	C₂²×C₄×C₇₃	—	2	4	no	—
318	C₂²×C₄×C₇₃	—	2	4	no	—
319	C₂²×C₄×C₇₃	—	4	1	no	—
320	C₂²×C₄×C₇₃	—	4	2	no	—
321	C₂²×C₄×C₇₃	—	4	2	no	—
322	C₂²×C₄×C₇₃	—	4	2	no	—
323	C₂²×C₄×C₇₃	—	4	2	no	—
324	C₂²×C₄×C₇₃	—	4	1	no	—
325	C₂²×C₄×C₇₃	—	4	1	no	—
326	C₂²×C₄×C₇₃	—	4	1	no	—
327	C₂²×C₄×C₇₃	—	4	2	no	—
328	C₂²×C₄×C₇₃	—	4	2	no	—
329	C₂²×C₄×C₇₃	—	4	2	no	—
330	C₂²×C₄×C₇₃	—	4	2	no	—
331	C₂²×C₄×C₇₃	—	4	2	no	—
332	C₂²×C₄×C₇₃	—	4	2	no	—
333	C₂²×C₄×C₇₃	—	4	16	no	—
334	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
335	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
336	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
341	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
347	C₄⋊C₄×C₇₃	—	2	4	no	—
348	C₄⋊C₄×C₇₃	—	2	4	no	—
349	C₄⋊C₄×C₇₃	—	2	4	no	—
350	C₄⋊C₄×C₇₃	—	2	4	no	—
351	C₄⋊C₄×C₇₃	—	4	2	no	—
352	C₄⋊C₄×C₇₃	—	4	2	no	—
353	C₄⋊C₄×C₇₃	—	4	2	no	—
354	C₄⋊C₄×C₇₃	—	4	2	no	—
355	C₄⋊C₄×C₇₃	—	4	2	no	—
356	C₂²⋊C₄×C₇₃	—	2	2	no	—
357	C₂²⋊C₄×C₇₃	—	2	2	no	—
358	C₂²⋊C₄×C₇₃	—	2	4	no	—
359	C₂²⋊C₄×C₇₃	—	2	4	no	—
360	C₂²⋊C₄×C₇₃	—	2	4	no	—
361	C₂²⋊C₄×C₇₃	—	2	4	no	—
362	C₂²⋊C₄×C₇₃	—	2	4	no	—
363	C₂²⋊C₄×C₇₃	—	2	4	no	—
364	C₂²⋊C₄×C₇₃	—	2	4	no	—
365	C₂²⋊C₄×C₇₃	—	2	4	no	—
366	C₂²⋊C₄×C₇₃	—	2	4	no	—
367	C₂²⋊C₄×C₇₃	—	2	4	no	—
368	C₂²⋊C₄×C₇₃	—	2	4	no	—
369	C₂²⋊C₄×C₇₃	—	2	4	no	—
370	C₂²⋊C₄×C₇₃	—	2	4	no	—
371	C₂²⋊C₄×C₇₃	—	2	4	no	—
372	C₂²⋊C₄×C₇₃	—	4	2	no	—
373	C₂²⋊C₄×C₇₃	—	4	2	no	—
374	C₂²⋊C₄×C₇₃	—	4	1	no	—
375	C₂²⋊C₄×C₇₃	—	4	2	no	—
376	C₂²⋊C₄×C₇₃	—	4	1	no	—
377	C₂²⋊C₄×C₇₃	—	4	2	no	—
378	C₂²⋊C₄×C₇₃	—	4	2	no	—
379	C₂²⋊C₄×C₇₃	—	4	2	no	—
380	C₂²⋊C₄×C₇₃	—	4	2	no	—
381	C₂²⋊C₄×C₇₃	—	4	2	no	—
382	C₂²⋊C₄×C₇₃	—	4	2	no	—
383	C₂²⋊C₄×C₇₃	—	4	2	no	—
384	C₂²⋊C₄×C₇₃	—	4	2	no	—
385	C₂²⋊C₄×C₇₃	—	4	2	no	—
386	C₂²⋊C₄×C₇₃	—	4	2	no	—
387	C₄²×C₇₃	—	2	2	no	—
388	C₄²×C₇₃	—	2	2	no	—
389	C₂³×C₇₃	—	2	2	no	—
390	C₂³×C₇₃	—	2	2	no	—
391	C₂³×C₇₃	—	2	8	no	—
392	C₂³×C₇₃	—	2	2	no	—
393	C₂³×C₇₃	—	2	2	no	—
394	C₂³×C₇₃	—	2	1	no	—
395	C₂³×C₇₃	—	2	1	no	—
396	C₂³×C₇₃	—	2	2	no	—
397	C₂³×C₇₃	—	2	2	no	—
398	C₂³×C₇₃	—	2	1	no	—
399	C₂³×C₇₃	—	2	1	no	—
400	C₂³×C₇₃	—	2	1	no	—
401	C₂³×C₇₃	—	2	1	no	—
402	C₂³×C₇₃	—	2	1	no	—
403	C₂³×C₇₃	—	2	1	no	—
404	C₂³×C₇₃	—	2	2	no	—
405	C₂³×C₇₃	—	2	2	no	—
406	C₂³×C₇₃	—	2	2	no	—
407	C₂³×C₇₃	—	2	2	no	—
408	C₂³×C₇₃	—	2	8	no	—
409	C₂³×C₇₃	—	2	2	no	—
410	C₂³×C₇₃	—	2	2	no	—
411	C₂³×C₇₃	—	2	2	no	—
412	C₂³×C₇₃	—	2	2	no	—
413	C₂³×C₇₃	—	2	2	no	—
414	C₂³×C₇₃	—	2	2	no	—
415	C₂³×C₇₃	—	2	2	no	—
416	C₂³×C₇₃	—	2	2	no	—
417	C₂³×C₇₃	—	2	2	no	—
418	C₂³×C₇₃	—	2	2	no	—
419	C₂³×C₇₃	—	2	2	no	—
420	C₂³×C₇₃	—	2	2	no	—
421	C₂³×C₇₃	—	2	2	no	—
422	C₂³×C₇₃	—	2	2	no	—
423	C₂³×C₇₃	—	4	8	no	—
424	C₂³×C₇₃	—	4	8	no	—
425	C₂³×C₇₃	—	4	4	no	—
426	C₂³×C₇₃	—	4	4	no	—
427	C₂³×C₇₃	—	4	8	no	—
428	C₂³×C₇₃	—	4	4	no	—
429	C₂³×C₇₃	—	8	2	no	—
430	C₂³×C₇₃	—	8	2	no	—
431	C₂³×C₇₃	—	8	4	no	—
432	C₂³×C₇₃	—	8	4	no	—
433	C₂³×C₇₃	—	8	2	no	—
434	C₂³×C₇₃	—	8	2	no	—
435	C₂³×C₇₃	—	8	4	no	—
436	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
437	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
438	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
439	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
440	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
441	C₂³×C₇₃	H(5,𝔽₂)	1	2	yes	—
442	C₂³×C₇₃	H(5,𝔽₂)	1	2	yes	—
443	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
444	Q₈×C₇₃	—	4	4	no	—
445	D₄×C₇₃	—	4	4	no	—
446	D₄×C₇₃	—	4	4	no	—
447	D₄×C₇₃	—	4	4	no	—
448	D₄×C₇₃	—	4	4	no	—
449	D₄×C₇₃	—	4	4	no	—
450	D₄×C₇₃	—	4	8	no	—
451	D₄×C₇₃	—	4	8	no	—
452	D₄×C₇₃	—	4	8	no	—
453	D₄×C₇₃	—	8	4	no	—
454	D₄×C₇₃	—	8	4	no	—
455	D₄×C₇₃	—	8	4	no	—
456	D₄×C₇₃	—	8	4	no	—
457	D₄×C₇₃	—	8	4	no	—
458	D₄×C₇₃	—	8	4	no	—
459	D₄×C₇₃	—	8	4	no	—
460	D₄×C₇₃	—	8	4	no	—
461	C₂×C₄×C₇₃	—	2	8	no	—
462	C₂×C₄×C₇₃	—	2	2	no	—
463	C₂×C₄×C₇₃	—	2	2	no	—
464	C₂×C₄×C₇₃	—	2	1	no	—
465	C₂×C₄×C₇₃	—	2	1	no	—
466	C₂×C₄×C₇₃	—	2	1	no	—
467	C₂×C₄×C₇₃	—	2	1	no	—
468	C₂×C₄×C₇₃	—	2	2	no	—
469	C₂×C₄×C₇₃	—	2	2	no	—
470	C₂×C₄×C₇₃	—	2	2	no	—
471	C₂×C₄×C₇₃	—	2	2	no	—
472	C₂×C₄×C₇₃	—	2	2	no	—
473	C₂×C₄×C₇₃	—	2	2	no	—
474	C₂×C₄×C₇₃	—	2	2	no	—
475	C₂×C₄×C₇₃	—	2	2	no	—
476	C₂×C₄×C₇₃	—	2	2	no	—
477	C₂×C₄×C₇₃	—	2	2	no	—
478	C₂×C₄×C₇₃	—	2	2	no	—
479	C₂×C₄×C₇₃	—	2	2	no	—
480	C₂×C₄×C₇₃	—	2	2	no	—
481	C₂×C₄×C₇₃	—	2	2	no	—
482	C₂×C₄×C₇₃	—	2	2	no	—
483	C₂×C₄×C₇₃	—	2	2	no	—
484	C₂×C₄×C₇₃	—	2	2	no	—
485	C₂×C₄×C₇₃	—	2	2	no	—
486	C₂×C₄×C₇₃	—	2	2	no	—
487	C₂×C₄×C₇₃	—	2	2	no	—
488	C₂×C₄×C₇₃	—	2	2	no	—
489	C₂×C₄×C₇₃	—	2	2	no	—
490	C₂×C₄×C₇₃	—	2	2	no	—
491	C₂×C₄×C₇₃	—	2	2	no	—
492	C₂×C₄×C₇₃	—	2	2	no	—
493	C₂×C₄×C₇₃	—	2	2	no	—
494	C₂×C₄×C₇₃	—	2	2	no	—
495	C₂×C₄×C₇₃	—	4	4	no	—
496	C₂×C₄×C₇₃	—	4	8	no	—
497	C₂×C₄×C₇₃	—	4	8	no	—
498	C₂×C₄×C₇₃	—	4	8	no	—
499	C₂×C₄×C₇₃	—	4	4	no	—
500	C₂×C₄×C₇₃	—	4	4	no	—
501	C₂×C₄×C₇₃	—	8	4	no	—
502	C₂×C₄×C₇₃	—	8	4	no	—
503	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₇₃	H(5,𝔽₂)	1	4	yes	—
506	C₂²×C₇₃	—	2	4	no	—
507	C₂²×C₇₃	—	2	2	no	—
508	C₂²×C₇₃	—	2	2	no	—
509	C₂²×C₇₃	—	2	4	no	—
510	C₂²×C₇₃	—	2	2	no	—
511	C₂²×C₇₃	—	2	2	no	—
512	C₂²×C₇₃	—	2	2	no	—
513	C₂²×C₇₃	—	2	2	no	—
514	C₂²×C₇₃	—	2	4	no	—
515	C₂²×C₇₃	—	2	4	no	—
516	C₂²×C₇₃	—	2	4	no	—
517	C₂²×C₇₃	—	2	4	no	—
518	C₂²×C₇₃	—	4	16	no	—
519	C₂²×C₇₃	—	4	1	no	—
520	C₂²×C₇₃	—	4	1	no	—
521	C₂²×C₇₃	—	4	1	no	—
522	C₂²×C₇₃	—	4	1	no	—
523	C₂²×C₇₃	—	4	1	no	—
524	C₂²×C₇₃	—	4	1	no	—
525	C₂²×C₇₃	—	4	1	no	—
526	C₂²×C₇₃	—	4	1	no	—
527	C₂²×C₇₃	—	4	2	no	—
528	C₂²×C₇₃	—	4	2	no	—
529	C₂²×C₇₃	—	4	2	no	—
530	C₂²×C₇₃	—	4	2	no	—
531	C₂²×C₇₃	—	4	2	no	—
532	C₂²×C₇₃	—	4	2	no	—
533	C₂²×C₇₃	—	4	2	no	—
534	C₂²×C₇₃	—	4	2	no	—
535	C₂²×C₇₃	—	4	2	no	—
536	C₂²×C₇₃	—	4	2	no	—
537	C₂²×C₇₃	—	4	2	no	—
538	C₂²×C₇₃	—	4	2	no	—
539	C₂²×C₇₃	—	4	2	no	—
540	C₂²×C₇₃	—	4	2	no	—
541	C₂²×C₇₃	—	4	2	no	—
542	C₂²×C₇₃	—	4	2	no	—
543	C₂²×C₇₃	—	4	2	no	—
544	C₂²×C₇₃	—	4	2	no	—
545	C₂²×C₇₃	—	8	8	no	—
546	C₂²×C₇₃	—	8	8	no	—
547	C₂²×C₇₃	#534	1	4	yes	—
548	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
549	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
550	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
551	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
552	C₂²×C₇₃	#585	1	2	yes	—
553	C₄×C₇₃	—	2	2	no	—
554	C₄×C₇₃	—	2	2	no	—
555	C₄×C₇₃	—	2	4	no	—
556	C₄×C₇₃	—	4	2	no	—
557	C₄×C₇₃	—	4	2	no	—
558	C₄×C₇₃	—	4	2	no	—
559	C₄×C₇₃	—	4	2	no	—
560	C₄×C₇₃	—	4	2	no	—
561	C₄×C₇₃	—	4	2	no	—
562	C₄×C₇₃	—	4	2	no	—
563	C₄×C₇₃	—	4	2	no	—
564	C₄×C₇₃	—	4	2	no	—
565	#36737	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
566	C₂×C₇₃	—	2	4	no	—
567	C₂×C₇₃	—	4	2	no	—
568	C₂×C₇₃	—	4	2	no	—
569	C₂×C₇₃	—	4	2	no	—
570	C₂×C₇₃	—	4	2	no	—
571	C₂×C₇₃	—	8	2	no	—
572	C₂×C₇₃	—	8	2	no	—
573	C₂×C₇₃	C₂×#534	1	1	yes	characteristic
574	C₂×C₇₃	#3496	1	2	yes	—
575	C₂×C₇₃	#3532	1	1	yes	characteristic
576	C₂×C₇₃	#3533	1	1	yes	characteristic
577	C₂×C₇₃	#3542	1	2	yes	—
578	C₂×#535	C₂×C₇₃	1	1	yes	characteristic, complemented
579	C₂×#534	C₂×C₇₃	1	1	yes	characteristic, complemented
580	#2847	C₂×C₇₃	1	2	yes	complemented
581	#2717	C₂×C₇₃	1	1	yes	characteristic, complemented
582	#2709	C₂×C₇₃	1	1	yes	characteristic, complemented
583	#2708	C₂×C₇₃	1	2	yes	complemented
584	#2688	C₂×C₇₃	1	2	yes	complemented
585	#2686	C₂×C₇₃	1	2	yes	complemented
586	#2684	C₂×C₇₃	1	1	yes	characteristic, complemented
587	#2673	C₂×C₇₃	1	2	yes	complemented
588	#2671	C₂×C₇₃	1	2	yes	complemented
589	#2669	C₂×C₇₃	1	1	yes	characteristic, complemented
590	#2668	C₂×C₇₃	1	2	yes	complemented
591	#2617	C₂×C₇₃	1	2	yes	complemented
592	#2498	C₂×C₇₃	1	2	yes	complemented
593	#2430	C₂×C₇₃	1	2	yes	complemented
594	#2412	C₂×C₇₃	1	2	yes	complemented
595	#2410	C₂×C₇₃	1	2	yes	complemented
596	C₂×#386	C₂×C₇₃	1	1	yes	characteristic, complemented
597	C₇₃	#36737	1	1	yes	characteristic, direct product factor, Sylow
598	C₂²×#41	C₂²×C₇₃	1	1	yes	characteristic, complemented
599	C₂³×D₄	C₂²×C₇₃	1	1	yes	characteristic
600	C₂³×D₄	C₂²×C₇₃	1	1	yes	characteristic
601	C₂⁴×C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
602	#535	—	2	8	no	—
603	#534	—	2	8	no	—
604	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic
605	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic, complemented
606	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
607	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic, complemented
608	C₂×#123	C₂²×C₇₃	1	2	yes	—
609	C₂×#123	C₂²×C₇₃	1	1	yes	characteristic
610	C₂×#123	C₂²×C₇₃	1	1	yes	characteristic
611	C₂×#123	C₂²×C₇₃	1	2	yes	complemented
612	C₂×#121	C₂²×C₇₃	1	2	yes	—
613	C₂×#121	C₂²×C₇₃	1	2	yes	—
614	C₂×#121	C₂²×C₇₃	1	2	yes	—
615	C₂×#121	C₂²×C₇₃	1	2	yes	—
616	C₂×#121	C₂²×C₇₃	1	2	yes	—
617	C₂×#121	C₂²×C₇₃	1	2	yes	complemented
618	C₂×#121	C₂²×C₇₃	1	2	yes	complemented
619	C₂×#121	C₂²×C₇₃	1	2	yes	complemented
620	C₂×#120	C₂²×C₇₃	1	2	yes	—
621	C₂×#120	C₂²×C₇₃	1	2	yes	—
622	C₂×#120	C₂²×C₇₃	1	1	yes	characteristic
623	C₂×#120	C₂²×C₇₃	1	1	yes	characteristic
624	C₂×#120	C₂²×C₇₃	1	2	yes	complemented
625	C₂×#120	C₂²×C₇₃	1	2	yes	complemented
626	C₂×#117	C₂²×C₇₃	1	1	yes	characteristic, complemented
627	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
628	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
629	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
630	#400	C₂²×C₇₃	1	2	yes	complemented
631	#399	C₂²×C₇₃	1	2	yes	complemented
632	#398	C₂²×C₇₃	1	2	yes	complemented
633	#397	C₂²×C₇₃	1	2	yes	complemented
634	#397	C₂²×C₇₃	1	2	yes	complemented
635	#397	C₂²×C₇₃	1	2	yes	complemented
636	#397	C₂²×C₇₃	1	2	yes	complemented
637	#397	C₂²×C₇₃	1	2	yes	complemented
638	#395	C₂²×C₇₃	1	2	yes	complemented
639	#394	C₂²×C₇₃	1	2	yes	complemented
640	#394	C₂²×C₇₃	1	2	yes	complemented
641	#394	C₂²×C₇₃	1	2	yes	complemented
642	#394	C₂²×C₇₃	1	2	yes	complemented
643	#394	C₂²×C₇₃	1	2	yes	complemented
644	#394	C₂²×C₇₃	1	2	yes	complemented
645	#394	C₂²×C₇₃	1	2	yes	complemented
646	#394	C₂²×C₇₃	1	2	yes	complemented
647	#394	C₂²×C₇₃	1	2	yes	complemented
648	#393	C₂²×C₇₃	1	2	yes	complemented
649	#392	C₂²×C₇₃	1	2	yes	complemented
650	#392	C₂²×C₇₃	1	2	yes	complemented
651	#392	C₂²×C₇₃	1	2	yes	complemented
652	#392	C₂²×C₇₃	1	2	yes	complemented
653	#392	C₂²×C₇₃	1	2	yes	complemented
654	#388	C₂²×C₇₃	1	2	yes	complemented
655	#388	C₂²×C₇₃	1	2	yes	complemented
656	#387	C₂²×C₇₃	1	2	yes	complemented
657	#387	C₂²×C₇₃	1	2	yes	complemented
658	#386	C₂²×C₇₃	1	2	yes	—
659	#386	C₂²×C₇₃	1	2	yes	—
660	#386	C₂²×C₇₃	1	2	yes	—
661	#386	C₂²×C₇₃	1	1	yes	characteristic
662	#386	C₂²×C₇₃	1	1	yes	characteristic
663	#386	C₂²×C₇₃	1	2	yes	complemented
664	#386	C₂²×C₇₃	1	2	yes	complemented
665	#386	C₂²×C₇₃	1	2	yes	complemented
666	#386	C₂²×C₇₃	1	2	yes	complemented
667	#386	C₂²×C₇₃	1	2	yes	complemented
668	#386	C₂²×C₇₃	1	2	yes	complemented
669	#386	C₂²×C₇₃	1	2	yes	complemented
670	#386	C₂²×C₇₃	1	2	yes	complemented
671	#386	C₂²×C₇₃	1	2	yes	complemented
672	#386	C₂²×C₇₃	1	2	yes	complemented
673	#386	C₂²×C₇₃	1	1	yes	characteristic, complemented
674	#386	C₂²×C₇₃	1	2	yes	complemented
675	#386	C₂²×C₇₃	1	1	yes	characteristic, complemented
676	#385	C₂²×C₇₃	1	2	yes	complemented
677	#385	C₂²×C₇₃	1	2	yes	complemented
678	#385	C₂²×C₇₃	1	2	yes	complemented
679	#385	C₂²×C₇₃	1	2	yes	complemented
680	#381	C₂²×C₇₃	1	2	yes	complemented
681	#380	C₂²×C₇₃	1	2	yes	complemented
682	#380	C₂²×C₇₃	1	2	yes	complemented
683	#380	C₂²×C₇₃	1	2	yes	complemented
684	#380	C₂²×C₇₃	1	2	yes	complemented
685	#379	C₂²×C₇₃	1	2	yes	complemented
686	C₂×#95	C₂²×C₇₃	1	2	yes	complemented
687	C₂⁵	C₂³×C₇₃	1	1	yes	characteristic
688	C₂⁵	C₂³×C₇₃	1	1	yes	characteristic
689	C₂⁵	C₂³×C₇₃	1	1	yes	characteristic
690	C₂×#41	—	2	4	no	—
691	C₂×#41	—	4	2	no	—
692	C₂×#41	—	4	2	no	—
693	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
694	C₂²×D₄	—	2	4	no	—
695	C₂²×D₄	—	4	2	no	—
696	C₂²×D₄	—	4	2	no	—
697	C₂²×D₄	—	4	2	no	—
698	C₂²×D₄	—	4	2	no	—
699	C₂²×D₄	D₄×C₇₃	1	8	yes	complemented
700	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
701	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
702	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
703	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
704	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
705	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
706	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
707	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
708	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
709	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
710	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
711	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
712	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
713	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
714	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
715	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
716	C₂³×C₄	—	4	4	no	—
717	C₂³×C₄	—	4	2	no	—
718	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
719	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
720	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
721	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
722	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
723	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
724	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
725	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
726	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
727	#127	—	2	4	no	—
728	#127	—	2	4	no	—
729	#124	—	2	4	no	—
730	#124	—	2	4	no	—
731	#123	—	2	4	no	—
732	#123	—	2	4	no	—
733	#123	—	2	8	no	—
734	#123	—	4	4	no	—
735	#121	—	2	8	no	—
736	#121	—	2	8	no	—
737	#121	—	2	8	no	—
738	#121	—	2	8	no	—
739	#121	—	4	4	no	—
740	#121	—	4	4	no	—
741	#121	—	4	4	no	—
742	#121	—	4	4	no	—
743	#120	—	2	8	no	—
744	#120	—	2	8	no	—
745	#120	—	2	8	no	—
746	#120	—	2	4	no	—
747	#120	—	2	4	no	—
748	#120	—	4	4	no	—
749	#117	—	2	4	no	—
750	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
751	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
752	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
753	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
754	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
755	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
756	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
757	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
758	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
759	C₂×C₂²⋊C₄	—	2	4	no	—
760	C₂×C₂²⋊C₄	—	4	4	no	—
761	C₂×C₂²⋊C₄	—	4	2	no	—
762	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
764	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
765	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
768	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
769	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
770	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
771	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
772	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
774	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
775	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
781	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
783	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
784	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
785	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
786	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
787	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
788	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
789	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
790	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
793	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
794	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
795	#95	C₂³×C₇₃	1	2	yes	—
796	#95	C₂³×C₇₃	1	2	yes	—
797	#95	C₂³×C₇₃	1	2	yes	—
798	#95	C₂³×C₇₃	1	2	yes	—
799	#95	C₂³×C₇₃	1	2	yes	—
800	#95	C₂³×C₇₃	1	2	yes	—
801	#95	C₂³×C₇₃	1	2	yes	—
802	#95	C₂³×C₇₃	1	2	yes	—
803	#95	C₂³×C₇₃	1	2	yes	—
804	#95	C₂³×C₇₃	1	2	yes	—
805	#95	C₂³×C₇₃	1	2	yes	—
806	#95	C₂³×C₇₃	1	2	yes	—
807	#95	C₂³×C₇₃	1	2	yes	—
808	#95	C₂³×C₇₃	1	2	yes	—
809	#95	C₂³×C₇₃	1	2	yes	—
810	#95	C₂³×C₇₃	1	2	yes	—
811	C₂⁴	—	2	2	no	—
812	C₂⁴	—	2	2	no	—
813	C₂⁴	—	2	2	no	—
814	C₂⁴	—	2	2	no	—
815	C₂⁴	—	2	2	no	—
816	C₂⁴	—	4	2	no	—
817	C₂⁴	—	4	2	no	—
818	C₂⁴	—	4	2	no	—
819	C₂⁴	—	4	1	no	—
820	C₂⁴	—	4	1	no	—
821	C₂⁴	—	4	2	no	—
822	C₂⁴	—	4	2	no	—
823	C₂⁴	—	4	2	no	—
824	C₂⁴	C₂×D₄×C₇₃	1	4	yes	—
825	C₂⁴	C₂×D₄×C₇₃	1	4	yes	—
826	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
827	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
828	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
829	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
830	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
831	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
832	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
833	#41	—	4	16	no	—
834	C₂×Q₈	—	2	2	no	—
835	C₂×Q₈	—	4	1	no	—
836	C₂×Q₈	—	4	1	no	—
837	C₂×D₄	—	2	4	no	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	2	4	no	—
840	C₂×D₄	—	2	4	no	—
841	C₂×D₄	—	2	4	no	—
842	C₂×D₄	—	2	4	no	—
843	C₂×D₄	—	2	4	no	—
844	C₂×D₄	—	2	4	no	—
845	C₂×D₄	—	2	4	no	—
846	C₂×D₄	—	2	4	no	—
847	C₂×D₄	—	2	4	no	—
848	C₂×D₄	—	2	4	no	—
849	C₂×D₄	—	2	4	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	4	no	—
852	C₂×D₄	—	4	16	no	—
853	C₂×D₄	—	4	1	no	—
854	C₂×D₄	—	4	1	no	—
855	C₂×D₄	—	4	1	no	—
856	C₂×D₄	—	4	1	no	—
857	C₂×D₄	—	4	1	no	—
858	C₂×D₄	—	4	1	no	—
859	C₂×D₄	—	4	1	no	—
860	C₂×D₄	—	4	1	no	—
861	C₂×D₄	—	4	2	no	—
862	C₂×D₄	—	4	2	no	—
863	C₂×D₄	—	4	1	no	—
864	C₂×D₄	—	4	1	no	—
865	C₂×D₄	—	4	2	no	—
866	C₂×D₄	—	4	2	no	—
867	C₂×D₄	—	4	2	no	—
868	C₂×D₄	—	4	2	no	—
869	C₂×D₄	—	4	2	no	—
870	C₂×D₄	—	4	2	no	—
871	C₂×D₄	—	4	2	no	—
872	C₂×D₄	—	4	2	no	—
873	C₂×D₄	—	4	2	no	—
874	C₂×D₄	—	4	2	no	—
875	C₂×D₄	—	4	2	no	—
876	C₂×D₄	—	4	2	no	—
877	C₂×D₄	—	4	2	no	—
878	C₂×D₄	—	4	2	no	—
879	C₂×D₄	—	4	2	no	—
880	C₂×D₄	—	4	2	no	—
881	C₂×D₄	—	4	2	no	—
882	C₂×D₄	—	4	16	no	—
883	C₂×D₄	C₂×D₄×C₇₃	1	4	yes	—
884	C₂×D₄	C₂×D₄×C₇₃	1	4	yes	—
885	C₂×D₄	C₂×D₄×C₇₃	1	4	yes	—
886	C₂×D₄	C₂×D₄×C₇₃	1	4	yes	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	2	2	no	—
890	C₂²×C₄	—	2	4	no	—
891	C₂²×C₄	—	2	4	no	—
892	C₂²×C₄	—	2	4	no	—
893	C₂²×C₄	—	2	4	no	—
894	C₂²×C₄	—	2	4	no	—
895	C₂²×C₄	—	2	4	no	—
896	C₂²×C₄	—	2	4	no	—
897	C₂²×C₄	—	4	1	no	—
898	C₂²×C₄	—	4	2	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	1	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	—	4	2	no	—
911	C₂²×C₄	—	4	16	no	—
912	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
913	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
914	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
915	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
916	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
917	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
918	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
919	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
920	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
921	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
922	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
923	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
924	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
925	C₄⋊C₄	—	2	4	no	—
926	C₄⋊C₄	—	2	4	no	—
927	C₄⋊C₄	—	2	4	no	—
928	C₄⋊C₄	—	2	4	no	—
929	C₄⋊C₄	—	4	2	no	—
930	C₄⋊C₄	—	4	2	no	—
931	C₄⋊C₄	—	4	2	no	—
932	C₄⋊C₄	—	4	2	no	—
933	C₄⋊C₄	—	4	2	no	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	4	no	—
937	C₂²⋊C₄	—	2	4	no	—
938	C₂²⋊C₄	—	2	4	no	—
939	C₂²⋊C₄	—	2	4	no	—
940	C₂²⋊C₄	—	2	4	no	—
941	C₂²⋊C₄	—	2	4	no	—
942	C₂²⋊C₄	—	2	4	no	—
943	C₂²⋊C₄	—	2	4	no	—
944	C₂²⋊C₄	—	2	4	no	—
945	C₂²⋊C₄	—	2	4	no	—
946	C₂²⋊C₄	—	2	4	no	—
947	C₂²⋊C₄	—	2	4	no	—
948	C₂²⋊C₄	—	2	4	no	—
949	C₂²⋊C₄	—	2	4	no	—
950	C₂²⋊C₄	—	4	2	no	—
951	C₂²⋊C₄	—	4	2	no	—
952	C₂²⋊C₄	—	4	1	no	—
953	C₂²⋊C₄	—	4	2	no	—
954	C₂²⋊C₄	—	4	1	no	—
955	C₂²⋊C₄	—	4	2	no	—
956	C₂²⋊C₄	—	4	2	no	—
957	C₂²⋊C₄	—	4	2	no	—
958	C₂²⋊C₄	—	4	2	no	—
959	C₂²⋊C₄	—	4	2	no	—
960	C₂²⋊C₄	—	4	2	no	—
961	C₂²⋊C₄	—	4	2	no	—
962	C₂²⋊C₄	—	4	2	no	—
963	C₂²⋊C₄	—	4	2	no	—
964	C₂²⋊C₄	—	4	2	no	—
965	C₄²	—	2	2	no	—
966	C₄²	—	2	2	no	—
967	C₂³	—	2	2	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	8	no	—
970	C₂³	—	2	2	no	—
971	C₂³	—	2	2	no	—
972	C₂³	—	2	1	no	—
973	C₂³	—	2	1	no	—
974	C₂³	—	2	2	no	—
975	C₂³	—	2	2	no	—
976	C₂³	—	2	1	no	—
977	C₂³	—	2	1	no	—
978	C₂³	—	2	1	no	—
979	C₂³	—	2	1	no	—
980	C₂³	—	2	1	no	—
981	C₂³	—	2	1	no	—
982	C₂³	—	2	2	no	—
983	C₂³	—	2	2	no	—
984	C₂³	—	2	2	no	—
985	C₂³	—	2	2	no	—
986	C₂³	—	2	8	no	—
987	C₂³	—	2	2	no	—
988	C₂³	—	2	2	no	—
989	C₂³	—	2	2	no	—
990	C₂³	—	2	2	no	—
991	C₂³	—	2	2	no	—
992	C₂³	—	2	2	no	—
993	C₂³	—	2	2	no	—
994	C₂³	—	2	2	no	—
995	C₂³	—	2	2	no	—
996	C₂³	—	2	2	no	—
997	C₂³	—	2	2	no	—
998	C₂³	—	2	2	no	—
999	C₂³	—	2	2	no	—
1000	C₂³	—	2	2	no	—
1001	C₂³	—	4	8	no	—
1002	C₂³	—	4	8	no	—
1003	C₂³	—	4	4	no	—
1004	C₂³	—	4	4	no	—
1005	C₂³	—	4	8	no	—
1006	C₂³	—	4	4	no	—
1007	C₂³	—	8	2	no	—
1008	C₂³	—	8	2	no	—
1009	C₂³	—	8	4	no	—
1010	C₂³	—	8	4	no	—
1011	C₂³	—	8	2	no	—
1012	C₂³	—	8	2	no	—
1013	C₂³	—	8	4	no	—
1014	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1015	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1016	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1017	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1018	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1019	C₂³	H(5,𝔽₂)×C₇₃	1	2	yes	—
1020	C₂³	H(5,𝔽₂)×C₇₃	1	2	yes	—
1021	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
1022	Q₈	—	4	4	no	—
1023	D₄	—	4	4	no	—
1024	D₄	—	4	4	no	—
1025	D₄	—	4	4	no	—
1026	D₄	—	4	4	no	—
1027	D₄	—	4	4	no	—
1028	D₄	—	4	8	no	—
1029	D₄	—	4	8	no	—
1030	D₄	—	4	8	no	—
1031	D₄	—	8	4	no	—
1032	D₄	—	8	4	no	—
1033	D₄	—	8	4	no	—
1034	D₄	—	8	4	no	—
1035	D₄	—	8	4	no	—
1036	D₄	—	8	4	no	—
1037	D₄	—	8	4	no	—
1038	D₄	—	8	4	no	—
1039	C₂×C₄	—	2	8	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	4	4	no	—
1074	C₂×C₄	—	4	8	no	—
1075	C₂×C₄	—	4	8	no	—
1076	C₂×C₄	—	4	8	no	—
1077	C₂×C₄	—	4	4	no	—
1078	C₂×C₄	—	4	4	no	—
1079	C₂×C₄	—	8	4	no	—
1080	C₂×C₄	—	8	4	no	—
1081	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1082	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1083	C₂×C₄	H(5,𝔽₂)×C₇₃	1	4	yes	—
1084	C₂²	—	2	4	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	4	no	—
1088	C₂²	—	2	4	no	—
1089	C₂²	—	2	4	no	—
1090	C₂²	—	2	4	no	—
1091	C₂²	—	2	4	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	2	2	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	2	2	no	—
1096	C₂²	—	4	16	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	—	4	1	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	1	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	2	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	4	2	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	2	no	—
1112	C₂²	—	4	2	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	4	2	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	2	no	—
1119	C₂²	—	4	2	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	—	4	2	no	—
1122	C₂²	—	4	2	no	—
1123	C₂²	—	8	8	no	—
1124	C₂²	—	8	8	no	—
1125	C₂²	#534×C₇₃	1	4	yes	—
1126	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1127	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	2	yes	—
1128	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1129	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1130	C₂²	#585×C₇₃	1	2	yes	—
1131	C₄	—	2	4	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	4	2	no	—
1135	C₄	—	4	2	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	2	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	2	no	—
1140	C₄	—	4	2	no	—
1141	C₄	—	4	2	no	—
1142	C₄	—	4	2	no	—
1143	C₂	—	2	4	no	—
1144	C₂	—	4	2	no	—
1145	C₂	—	4	2	no	—
1146	C₂	—	4	2	no	—
1147	C₂	—	4	2	no	—
1148	C₂	—	8	2	no	—
1149	C₂	—	8	2	no	—
1150	C₂	C₂×#534×C₇₃	1	1	yes	characteristic
1151	C₂	C₇₃×#3496	1	2	yes	—
1152	C₂	C₇₃×#3532	1	1	yes	characteristic
1153	C₂	C₇₃×#3533	1	1	yes	characteristic
1154	C₂	C₇₃×#3542	1	2	yes	—

	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×#535×C₇₃	C₂	semidirect
2. C₂×#534×C₇₃	C₂	semidirect
3. C₇₃×#2847	C₂	semidirect
4. C₇₃×#2717	C₂	semidirect
5. C₇₃×#2709	C₂	semidirect
6. C₇₃×#2708	C₂	semidirect
7. C₇₃×#2688	C₂	semidirect
8. C₇₃×#2686	C₂	semidirect
9. C₇₃×#2684	C₂	semidirect
10. C₇₃×#2673	C₂	semidirect
11. C₇₃×#2671	C₂	semidirect
12. C₇₃×#2669	C₂	semidirect
13. C₇₃×#2668	C₂	semidirect
14. C₇₃×#2617	C₂	semidirect
15. C₇₃×#2498	C₂	semidirect
16. C₇₃×#2430	C₂	semidirect
17. C₇₃×#2412	C₂	semidirect
18. C₇₃×#2410	C₂	semidirect
19. C₂×#386×C₇₃	C₂	semidirect
20. C₂²×#41×C₇₃	C₂²	semidirect
23. C₂⁴×C₄×C₇₃	C₂²	semidirect
27. C₂×#127×C₇₃	C₂²	semidirect
29. C₂×#124×C₇₃	C₂²	semidirect
33. C₂×#123×C₇₃	C₂²	semidirect
39. C₂×#121×C₇₃	C₂²	semidirect
40. C₂×#121×C₇₃	C₂²	semidirect
41. C₂×#121×C₇₃	C₂²	semidirect
46. C₂×#120×C₇₃	C₂²	semidirect
47. C₂×#120×C₇₃	C₂²	semidirect
48. C₂×#117×C₇₃	C₂²	semidirect
51. C₂²×C₂²⋊C₄×C₇₃	C₂²	semidirect
52. #400×C₇₃	C₂²	semidirect
53. #399×C₇₃	C₂²	semidirect
54. #398×C₇₃	C₂²	semidirect
55. #397×C₇₃	C₂²	semidirect
56. #397×C₇₃	C₂²	semidirect
57. #397×C₇₃	C₂²	semidirect
58. #397×C₇₃	C₂²	semidirect
59. #397×C₇₃	C₂²	semidirect
60. #395×C₇₃	C₂²	semidirect
61. #394×C₇₃	C₂²	semidirect
62. #394×C₇₃	C₂²	semidirect
63. #394×C₇₃	C₂²	semidirect
64. #394×C₇₃	C₂²	semidirect
65. #394×C₇₃	C₂²	semidirect
66. #394×C₇₃	C₂²	semidirect
67. #394×C₇₃	C₂²	semidirect
68. #394×C₇₃	C₂²	semidirect
69. #394×C₇₃	C₂²	semidirect
70. #393×C₇₃	C₂²	semidirect
71. #392×C₇₃	C₂²	semidirect
72. #392×C₇₃	C₂²	semidirect
73. #392×C₇₃	C₂²	semidirect
74. #392×C₇₃	C₂²	semidirect
75. #392×C₇₃	C₂²	semidirect
76. #388×C₇₃	C₂²	semidirect
77. #388×C₇₃	C₂²	semidirect
78. #387×C₇₃	C₂²	semidirect
79. #387×C₇₃	C₂²	semidirect
85. #386×C₇₃	C₂²	semidirect
86. #386×C₇₃	C₂²	semidirect
87. #386×C₇₃	C₂²	semidirect
88. #386×C₇₃	C₂²	semidirect
89. #386×C₇₃	C₂²	semidirect
90. #386×C₇₃	C₂²	semidirect
91. #386×C₇₃	C₂²	semidirect
92. #386×C₇₃	C₂²	semidirect
93. #386×C₇₃	C₂²	semidirect
94. #386×C₇₃	C₂²	semidirect
95. #386×C₇₃	C₂²	semidirect
96. #386×C₇₃	C₂²	semidirect
97. #386×C₇₃	C₂²	semidirect
98. #385×C₇₃	C₂²	semidirect
99. #385×C₇₃	C₂²	semidirect
100. #385×C₇₃	C₂²	semidirect
101. #385×C₇₃	C₂²	semidirect
102. #381×C₇₃	C₂²	semidirect
103. #380×C₇₃	C₂²	semidirect
104. #380×C₇₃	C₂²	semidirect
105. #380×C₇₃	C₂²	semidirect
106. #380×C₇₃	C₂²	semidirect
107. #379×C₇₃	C₂²	semidirect
108. C₂×#95×C₇₃	C₂²	semidirect
121. C₂²×D₄×C₇₃	D₄	semidirect
565. #36737	C₇₃	direct (N × H)
578. C₂×#535	C₂×C₇₃	semidirect
579. C₂×#534	C₂×C₇₃	semidirect
580. #2847	C₂×C₇₃	semidirect
581. #2717	C₂×C₇₃	semidirect
582. #2709	C₂×C₇₃	semidirect
583. #2708	C₂×C₇₃	semidirect
584. #2688	C₂×C₇₃	semidirect
585. #2686	C₂×C₇₃	semidirect
586. #2684	C₂×C₇₃	semidirect
587. #2673	C₂×C₇₃	semidirect
588. #2671	C₂×C₇₃	semidirect
589. #2669	C₂×C₇₃	semidirect
590. #2668	C₂×C₇₃	semidirect
591. #2617	C₂×C₇₃	semidirect
592. #2498	C₂×C₇₃	semidirect
593. #2430	C₂×C₇₃	semidirect
594. #2412	C₂×C₇₃	semidirect
595. #2410	C₂×C₇₃	semidirect
596. C₂×#386	C₂×C₇₃	semidirect
597. C₇₃	#36737	direct (N × H)
598. C₂²×#41	C₂²×C₇₃	semidirect
601. C₂⁴×C₄	C₂²×C₇₃	semidirect
605. C₂×#127	C₂²×C₇₃	semidirect
607. C₂×#124	C₂²×C₇₃	semidirect
611. C₂×#123	C₂²×C₇₃	semidirect
617. C₂×#121	C₂²×C₇₃	semidirect
618. C₂×#121	C₂²×C₇₃	semidirect
619. C₂×#121	C₂²×C₇₃	semidirect
624. C₂×#120	C₂²×C₇₃	semidirect
625. C₂×#120	C₂²×C₇₃	semidirect
626. C₂×#117	C₂²×C₇₃	semidirect
629. C₂²×C₂²⋊C₄	C₂²×C₇₃	semidirect
630. #400	C₂²×C₇₃	semidirect
631. #399	C₂²×C₇₃	semidirect
632. #398	C₂²×C₇₃	semidirect
633. #397	C₂²×C₇₃	semidirect
634. #397	C₂²×C₇₃	semidirect
635. #397	C₂²×C₇₃	semidirect
636. #397	C₂²×C₇₃	semidirect
637. #397	C₂²×C₇₃	semidirect
638. #395	C₂²×C₇₃	semidirect
639. #394	C₂²×C₇₃	semidirect
640. #394	C₂²×C₇₃	semidirect
641. #394	C₂²×C₇₃	semidirect
642. #394	C₂²×C₇₃	semidirect
643. #394	C₂²×C₇₃	semidirect
644. #394	C₂²×C₇₃	semidirect
645. #394	C₂²×C₇₃	semidirect
646. #394	C₂²×C₇₃	semidirect
647. #394	C₂²×C₇₃	semidirect
648. #393	C₂²×C₇₃	semidirect
649. #392	C₂²×C₇₃	semidirect
650. #392	C₂²×C₇₃	semidirect
651. #392	C₂²×C₇₃	semidirect
652. #392	C₂²×C₇₃	semidirect
653. #392	C₂²×C₇₃	semidirect
654. #388	C₂²×C₇₃	semidirect
655. #388	C₂²×C₇₃	semidirect
656. #387	C₂²×C₇₃	semidirect
657. #387	C₂²×C₇₃	semidirect
663. #386	C₂²×C₇₃	semidirect
664. #386	C₂²×C₇₃	semidirect
665. #386	C₂²×C₇₃	semidirect
666. #386	C₂²×C₇₃	semidirect
667. #386	C₂²×C₇₃	semidirect
668. #386	C₂²×C₇₃	semidirect
669. #386	C₂²×C₇₃	semidirect
670. #386	C₂²×C₇₃	semidirect
671. #386	C₂²×C₇₃	semidirect
672. #386	C₂²×C₇₃	semidirect
673. #386	C₂²×C₇₃	semidirect
674. #386	C₂²×C₇₃	semidirect
675. #386	C₂²×C₇₃	semidirect
676. #385	C₂²×C₇₃	semidirect
677. #385	C₂²×C₇₃	semidirect
678. #385	C₂²×C₇₃	semidirect
679. #385	C₂²×C₇₃	semidirect
680. #381	C₂²×C₇₃	semidirect
681. #380	C₂²×C₇₃	semidirect
682. #380	C₂²×C₇₃	semidirect
683. #380	C₂²×C₇₃	semidirect
684. #380	C₂²×C₇₃	semidirect
685. #379	C₂²×C₇₃	semidirect
686. C₂×#95	C₂²×C₇₃	semidirect
699. C₂²×D₄	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×#535×C₇₃	2
C₂×#534×C₇₃	2
C₇₃×#2847	2
C₇₃×#2717	2
C₇₃×#2709	2
C₇₃×#2708	2
C₇₃×#2688	2
C₇₃×#2686	2
C₇₃×#2684	2
C₇₃×#2673	2
C₇₃×#2671	2
C₇₃×#2669	2
C₇₃×#2668	2
C₇₃×#2617	2
C₇₃×#2498	2
C₇₃×#2430	2
C₇₃×#2412	2
C₇₃×#2410	2
C₂×#386×C₇₃	2
#36737	73

Subgroups — C73×#36737 #32946141

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#36737 #32946141