Subgroups — C₇₃×#62608 #32972012

Order 18688.

1774 conjugacy classes of subgroups.

The subgroup lattice has 1146 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₃×#3543	C₂	1	1	yes	maximal, characteristic
3	C₇₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#3365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₃×#3362	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#3324	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#3324	C₂	1	2	yes	maximal, complemented
10	C₇₃×#3323	C₂	1	2	yes	maximal, complemented
11	C₇₃×#3311	C₂	1	2	yes	maximal, complemented
12	C₇₃×#3310	C₂	1	2	yes	maximal, complemented
13	C₇₃×#3304	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#3295	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#3241	C₂	1	2	yes	maximal, complemented
16	C₇₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#3222	C₂	1	2	yes	maximal, complemented
18	C₇₃×#3208	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#3174	C₂	1	2	yes	maximal, complemented
20	C₇₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇₃×#3138	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇₃×#3136	C₂	1	2	yes	maximal, complemented
23	C₇₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
24	#563×C₇₃	—	2	2	no	—
25	#560×C₇₃	—	2	2	no	—
26	#559×C₇₃	C₂²	1	1	yes	characteristic
27	Q₈²×C₇₃	C₂²	1	1	yes	characteristic, complemented
28	#557×C₇₃	—	2	1	no	—
29	#557×C₇₃	C₂²	1	1	yes	characteristic, complemented
30	#556×C₇₃	—	2	1	no	—
31	#556×C₇₃	C₂²	1	1	yes	characteristic, complemented
32	#556×C₇₃	C₂²	1	2	yes	complemented
33	#554×C₇₃	C₂²	1	1	yes	characteristic, complemented
34	#552×C₇₃	C₂²	1	2	yes	complemented
35	#550×C₇₃	C₂²	1	1	yes	characteristic
36	#550×C₇₃	C₂²	1	1	yes	characteristic
37	#546×C₇₃	—	2	1	no	—
38	#546×C₇₃	C₂²	1	2	yes	—
39	D₄²×C₇₃	—	2	1	no	—
40	D₄²×C₇₃	C₂²	1	1	yes	characteristic
41	D₄²×C₇₃	C₂²	1	2	yes	—
42	#544×C₇₃	C₂²	1	2	yes	complemented
43	#542×C₇₃	—	2	1	no	—
44	#541×C₇₃	—	2	2	no	—
45	#541×C₇₃	—	2	1	no	—
46	#541×C₇₃	C₂²	1	2	yes	complemented
47	#540×C₇₃	—	2	1	no	—
48	#540×C₇₃	C₂²	1	2	yes	—
49	#535×C₇₃	—	2	1	no	—
50	#535×C₇₃	C₂²	1	2	yes	—
51	#534×C₇₃	—	2	2	no	—
52	#533×C₇₃	C₂²	1	1	yes	characteristic, complemented
53	#533×C₇₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic
55	#529×C₇₃	C₂²	1	1	yes	characteristic
56	#529×C₇₃	C₂²	1	1	yes	characteristic
57	#501×C₇₃	C₂²	1	1	yes	characteristic, complemented
58	#499×C₇₃	C₂²	1	2	yes	complemented
59	#497×C₇₃	C₂²	1	1	yes	characteristic, complemented
60	#492×C₇₃	C₂²	1	2	yes	complemented
61	#491×C₇₃	C₂²	1	1	yes	characteristic, complemented
62	#490×C₇₃	C₂²	1	2	yes	complemented
63	#490×C₇₃	C₂²	1	2	yes	complemented
64	#490×C₇₃	C₂²	1	2	yes	complemented
65	#489×C₇₃	C₂²	1	2	yes	complemented
66	#489×C₇₃	C₂²	1	1	yes	characteristic, complemented
67	#488×C₇₃	C₂²	1	2	yes	complemented
68	#488×C₇₃	C₂²	1	2	yes	complemented
69	#486×C₇₃	C₂²	1	1	yes	characteristic
70	#486×C₇₃	C₂²	1	1	yes	characteristic
71	#486×C₇₃	C₂²	1	2	yes	complemented
72	#486×C₇₃	C₂²	1	1	yes	characteristic, complemented
73	#486×C₇₃	C₂²	1	2	yes	complemented
74	#486×C₇₃	C₂²	1	1	yes	characteristic, complemented
75	#485×C₇₃	C₂²	1	2	yes	complemented
76	#482×C₇₃	C₂²	1	2	yes	—
77	#482×C₇₃	C₂²	1	2	yes	complemented
78	#482×C₇₃	C₂²	1	2	yes	complemented
79	#481×C₇₃	C₂²	1	2	yes	complemented
80	#480×C₇₃	C₂²	1	2	yes	complemented
81	#478×C₇₃	C₂²	1	2	yes	complemented
82	#478×C₇₃	C₂²	1	2	yes	complemented
83	#477×C₇₃	C₂²	1	1	yes	characteristic, complemented
84	#476×C₇₃	C₂²	1	1	yes	characteristic, complemented
85	#476×C₇₃	C₂²	1	2	yes	complemented
86	#475×C₇₃	C₂²	1	1	yes	characteristic, complemented
87	#474×C₇₃	C₂²	1	1	yes	characteristic, complemented
88	#474×C₇₃	C₂²	1	2	yes	complemented
89	#470×C₇₃	C₂²	1	1	yes	characteristic, complemented
90	#470×C₇₃	C₂²	1	1	yes	characteristic, complemented
91	#468×C₇₃	C₂²	1	1	yes	characteristic
92	#468×C₇₃	C₂²	1	1	yes	characteristic
93	#468×C₇₃	C₂²	1	2	yes	complemented
94	#468×C₇₃	C₂²	1	2	yes	complemented
95	#465×C₇₃	C₂²	1	2	yes	complemented
96	#465×C₇₃	C₂²	1	2	yes	complemented
97	#464×C₇₃	C₂²	1	2	yes	complemented
98	#464×C₇₃	C₂²	1	2	yes	complemented
99	#460×C₇₃	C₂²	1	1	yes	characteristic
100	#460×C₇₃	C₂²	1	1	yes	characteristic
101	#460×C₇₃	C₂²	1	1	yes	characteristic, complemented
102	#460×C₇₃	C₂²	1	1	yes	characteristic, complemented
103	#460×C₇₃	C₂²	1	2	yes	complemented
104	#460×C₇₃	C₂²	1	2	yes	complemented
105	#452×C₇₃	C₂²	1	2	yes	complemented
106	#452×C₇₃	C₂²	1	2	yes	complemented
107	#450×C₇₃	C₂²	1	2	yes	complemented
108	#450×C₇₃	C₂²	1	2	yes	complemented
109	#450×C₇₃	C₂²	1	2	yes	complemented
110	#450×C₇₃	C₂²	1	2	yes	complemented
111	#446×C₇₃	C₂²	1	1	yes	characteristic, complemented
112	C₈×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
113	#440×C₇₃	C₂²	1	2	yes	complemented
114	#440×C₇₃	C₂²	1	2	yes	complemented
115	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
116	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
117	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
118	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	complemented
119	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
120	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	complemented
121	#436×C₇₃	C₂²	1	2	yes	complemented
122	#436×C₇₃	C₂²	1	1	yes	characteristic, complemented
123	#435×C₇₃	C₂²	1	2	yes	complemented
124	C₈×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
125	#433×C₇₃	C₂²	1	2	yes	complemented
126	#431×C₇₃	C₂²	1	1	yes	characteristic, complemented
127	#418×C₇₃	C₂²	1	2	yes	complemented
128	#418×C₇₃	C₂²	1	2	yes	complemented
129	#418×C₇₃	C₂²	1	2	yes	complemented
130	#417×C₇₃	C₂²	1	2	yes	complemented
131	#416×C₇₃	C₂²	1	2	yes	complemented
132	C₂×#102×C₇₃	C₂²	1	2	yes	complemented
133	#405×C₇₃	C₂²	1	2	yes	complemented
134	C₄×M₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×#41×C₇₃	—	2	1	no	—
136	C₂×#41×C₇₃	C₂³	1	2	yes	—
137	C₂²×D₄×C₇₃	—	2	2	no	—
138	C₂²×D₄×C₇₃	—	2	1	no	—
139	C₂²×D₄×C₇₃	—	2	1	no	—
140	C₂²×D₄×C₇₃	—	2	1	no	—
141	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
142	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
143	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
144	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
146	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
147	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
148	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
149	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
151	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
152	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
153	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
154	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
155	C₄⋊Q₈×C₇₃	—	2	1	no	—
156	C₄⋊Q₈×C₇₃	—	2	2	no	—
157	C₄⋊Q₈×C₇₃	—	2	1	no	—
158	C₄⋊Q₈×C₇₃	—	2	2	no	—
159	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
160	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
161	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
162	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
163	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
164	#127×C₇₃	—	2	1	no	—
165	#127×C₇₃	—	2	1	no	—
166	#127×C₇₃	—	2	1	no	—
167	#127×C₇₃	C₂³	1	1	yes	characteristic
168	#127×C₇₃	C₂³	1	1	yes	characteristic
169	#127×C₇₃	C₂³	1	2	yes	—
170	#127×C₇₃	C₂³	1	2	yes	—
171	#126×C₇₃	—	2	2	no	—
172	#126×C₇₃	—	2	2	no	—
173	#126×C₇₃	—	2	2	no	—
174	#126×C₇₃	—	2	2	no	—
175	#126×C₇₃	—	2	2	no	—
176	#126×C₇₃	—	2	2	no	—
177	#126×C₇₃	—	2	1	no	—
178	#126×C₇₃	D₄	1	2	yes	—
179	#125×C₇₃	—	2	2	no	—
180	#125×C₇₃	—	2	2	no	—
181	#125×C₇₃	—	2	2	no	—
182	#125×C₇₃	—	2	1	no	—
183	#125×C₇₃	—	2	2	no	—
184	#125×C₇₃	—	2	2	no	—
185	#125×C₇₃	—	2	1	no	—
186	#125×C₇₃	D₄	1	1	yes	characteristic
187	#125×C₇₃	C₂³	1	2	yes	—
188	#125×C₇₃	C₂³	1	2	yes	—
189	#125×C₇₃	C₂³	1	1	yes	characteristic
190	#124×C₇₃	—	2	1	no	—
191	#124×C₇₃	—	2	1	no	—
192	#124×C₇₃	—	2	2	no	—
193	#124×C₇₃	D₄	1	1	yes	characteristic
194	#124×C₇₃	C₂³	1	2	yes	—
195	#124×C₇₃	C₂³	1	1	yes	characteristic
196	#123×C₇₃	—	2	2	no	—
197	#123×C₇₃	—	2	1	no	—
198	#123×C₇₃	—	2	2	no	—
199	#123×C₇₃	—	2	2	no	—
200	#123×C₇₃	—	2	2	no	—
201	#123×C₇₃	—	2	2	no	—
202	#123×C₇₃	D₄	1	2	yes	—
203	C₂²⋊Q₈×C₇₃	—	2	1	no	—
204	C₂²⋊Q₈×C₇₃	—	2	1	no	—
205	C₂²⋊Q₈×C₇₃	—	2	1	no	—
206	C₂²⋊Q₈×C₇₃	—	2	2	no	—
207	C₂²⋊Q₈×C₇₃	—	2	2	no	—
208	C₂²⋊Q₈×C₇₃	—	2	2	no	—
209	C₂²⋊Q₈×C₇₃	D₄	1	1	yes	characteristic
210	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
211	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
212	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
213	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
214	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
215	#121×C₇₃	—	2	2	no	—
216	#121×C₇₃	—	2	2	no	—
217	#121×C₇₃	—	2	2	no	—
218	#121×C₇₃	—	2	1	no	—
219	#121×C₇₃	—	2	1	no	—
220	#121×C₇₃	—	2	2	no	—
221	#121×C₇₃	—	2	2	no	—
222	#121×C₇₃	—	2	2	no	—
223	#121×C₇₃	—	2	2	no	—
224	#121×C₇₃	—	2	2	no	—
225	#121×C₇₃	D₄	1	1	yes	characteristic
226	#121×C₇₃	C₂³	1	2	yes	—
227	#121×C₇₃	C₂³	1	2	yes	—
228	#121×C₇₃	C₂³	1	1	yes	characteristic
229	#120×C₇₃	—	2	2	no	—
230	#120×C₇₃	—	2	2	no	—
231	#120×C₇₃	—	2	2	no	—
232	#120×C₇₃	—	2	2	no	—
233	#120×C₇₃	—	2	2	no	—
234	#120×C₇₃	—	2	2	no	—
235	C₄×Q₈×C₇₃	—	2	1	no	—
236	C₄×Q₈×C₇₃	—	2	2	no	—
237	C₄×Q₈×C₇₃	—	2	1	no	—
238	C₄×Q₈×C₇₃	—	2	1	no	—
239	C₄×Q₈×C₇₃	—	2	1	no	—
240	C₄×Q₈×C₇₃	—	2	1	no	—
241	C₄×Q₈×C₇₃	—	2	1	no	—
242	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
243	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
244	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
245	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
246	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
247	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₇₃	—	2	1	no	—
249	C₄×D₄×C₇₃	—	2	1	no	—
250	C₄×D₄×C₇₃	—	2	1	no	—
251	C₄×D₄×C₇₃	—	2	1	no	—
252	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₇₃	C₂³	1	2	yes	—
254	C₄×D₄×C₇₃	C₂³	1	2	yes	—
255	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₇₃	C₂³	1	2	yes	—
257	#117×C₇₃	—	2	1	no	—
258	#117×C₇₃	—	2	2	no	—
259	#117×C₇₃	—	2	1	no	—
260	#117×C₇₃	C₂³	1	2	yes	—
261	#117×C₇₃	C₂³	1	2	yes	—
262	#117×C₇₃	C₂³	1	2	yes	—
263	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
264	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
265	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
266	#107×C₇₃	C₂³	1	1	yes	characteristic
267	#107×C₇₃	C₂³	1	1	yes	characteristic
268	#107×C₇₃	C₂³	1	2	yes	—
269	#107×C₇₃	C₂³	1	2	yes	—
270	#106×C₇₃	C₂³	1	2	yes	—
271	#106×C₇₃	C₂³	1	2	yes	—
272	#106×C₇₃	C₂³	1	1	yes	characteristic
273	#106×C₇₃	C₂³	1	1	yes	characteristic
274	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
275	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
276	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
277	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
278	#103×C₇₃	C₂³	1	1	yes	characteristic
279	#103×C₇₃	C₂³	1	2	yes	—
280	#103×C₇₃	C₂³	1	1	yes	characteristic
281	#103×C₇₃	C₂³	1	2	yes	—
282	#103×C₇₃	C₂³	1	1	yes	characteristic
283	#103×C₇₃	C₂³	1	1	yes	characteristic
284	#103×C₇₃	C₂³	1	1	yes	characteristic
285	#103×C₇₃	C₂³	1	1	yes	characteristic
286	#102×C₇₃	C₂³	1	1	yes	characteristic
287	#102×C₇₃	C₂³	1	2	yes	—
288	#102×C₇₃	C₂³	1	2	yes	—
289	#102×C₇₃	C₂³	1	2	yes	—
290	#102×C₇₃	C₂³	1	2	yes	—
291	#102×C₇₃	C₂³	1	2	yes	—
292	#102×C₇₃	C₂³	1	2	yes	—
293	#102×C₇₃	C₂³	1	2	yes	—
294	#102×C₇₃	C₂³	1	1	yes	characteristic
295	#102×C₇₃	C₂³	1	2	yes	—
296	#102×C₇₃	C₂³	1	2	yes	—
297	#102×C₇₃	C₂³	1	2	yes	—
298	#102×C₇₃	C₂³	1	2	yes	—
299	#102×C₇₃	C₂³	1	2	yes	—
300	#102×C₇₃	C₂³	1	2	yes	—
301	#102×C₇₃	C₂³	1	2	yes	—
302	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
303	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
305	#97×C₇₃	C₂³	1	1	yes	characteristic
306	#97×C₇₃	C₂³	1	1	yes	characteristic
307	#97×C₇₃	C₂³	1	2	yes	—
308	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₇₃	C₂³	1	2	yes	—
311	C₄×C₈×C₇₃	C₂³	1	2	yes	—
312	C₂⁴×C₇₃	—	2	2	no	—
313	C₂⁴×C₇₃	—	2	2	no	—
314	#41×C₇₃	—	4	2	no	—
315	#41×C₇₃	—	4	2	no	—
316	#41×C₇₃	—	8	2	no	—
317	C₂×Q₈×C₇₃	—	2	1	no	—
318	C₂×Q₈×C₇₃	—	2	1	no	—
319	C₂×Q₈×C₇₃	—	2	1	no	—
320	C₂×Q₈×C₇₃	—	2	2	no	—
321	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
322	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
323	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
324	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
325	C₂×D₄×C₇₃	—	2	1	no	—
326	C₂×D₄×C₇₃	—	2	2	no	—
327	C₂×D₄×C₇₃	—	2	2	no	—
328	C₂×D₄×C₇₃	—	2	2	no	—
329	C₂×D₄×C₇₃	—	2	1	no	—
330	C₂×D₄×C₇₃	—	2	1	no	—
331	C₂×D₄×C₇₃	—	2	2	no	—
332	C₂×D₄×C₇₃	—	2	2	no	—
333	C₂×D₄×C₇₃	—	2	1	no	—
334	C₂×D₄×C₇₃	—	2	2	no	—
335	C₂×D₄×C₇₃	—	2	2	no	—
336	C₂×D₄×C₇₃	—	2	2	no	—
337	C₂×D₄×C₇₃	—	2	2	no	—
338	C₂×D₄×C₇₃	—	2	1	no	—
339	C₂×D₄×C₇₃	—	4	2	no	—
340	C₂×D₄×C₇₃	—	4	2	no	—
341	C₂×D₄×C₇₃	—	4	2	no	—
342	C₂×D₄×C₇₃	—	4	2	no	—
343	C₂×D₄×C₇₃	—	8	2	no	—
344	C₂×D₄×C₇₃	—	8	2	no	—
345	C₂×D₄×C₇₃	—	8	2	no	—
346	C₂×D₄×C₇₃	—	8	4	no	—
347	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
348	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
349	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
350	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
351	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
352	C₂²×C₄×C₇₃	—	2	2	no	—
353	C₂²×C₄×C₇₃	—	2	1	no	—
354	C₂²×C₄×C₇₃	—	2	2	no	—
355	C₂²×C₄×C₇₃	—	2	2	no	—
356	C₂²×C₄×C₇₃	—	2	2	no	—
357	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
359	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
361	Q₁₆×C₇₃	—	4	1	no	—
362	Q₁₆×C₇₃	—	4	1	no	—
363	SD₁₆×C₇₃	—	4	2	no	—
364	SD₁₆×C₇₃	—	4	2	no	—
365	SD₁₆×C₇₃	—	4	2	no	—
366	SD₁₆×C₇₃	—	4	2	no	—
367	SD₁₆×C₇₃	—	4	1	no	—
368	SD₁₆×C₇₃	—	4	1	no	—
369	M₁₆×C₇₃	—	4	1	no	—
370	M₁₆×C₇₃	—	4	2	no	—
371	M₁₆×C₇₃	—	4	1	no	—
372	C₂×C₈×C₇₃	—	4	2	no	—
373	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
375	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
379	C₄⋊C₄×C₇₃	—	2	2	no	—
380	C₄⋊C₄×C₇₃	—	2	1	no	—
381	C₄⋊C₄×C₇₃	—	2	1	no	—
382	C₄⋊C₄×C₇₃	—	2	1	no	—
383	C₄⋊C₄×C₇₃	—	2	1	no	—
384	C₄⋊C₄×C₇₃	—	2	2	no	—
385	C₄⋊C₄×C₇₃	—	2	1	no	—
386	C₄⋊C₄×C₇₃	—	2	1	no	—
387	C₄⋊C₄×C₇₃	—	2	1	no	—
388	C₄⋊C₄×C₇₃	—	2	1	no	—
389	C₄⋊C₄×C₇₃	—	2	2	no	—
390	C₄⋊C₄×C₇₃	—	2	2	no	—
391	C₄⋊C₄×C₇₃	—	2	2	no	—
392	C₄⋊C₄×C₇₃	—	2	2	no	—
393	C₄⋊C₄×C₇₃	—	2	1	no	—
394	C₄⋊C₄×C₇₃	—	2	1	no	—
395	C₄⋊C₄×C₇₃	—	2	2	no	—
396	C₄⋊C₄×C₇₃	—	2	2	no	—
397	C₄⋊C₄×C₇₃	—	2	1	no	—
398	C₄⋊C₄×C₇₃	—	2	1	no	—
399	C₄⋊C₄×C₇₃	—	2	1	no	—
400	C₄⋊C₄×C₇₃	—	2	2	no	—
401	C₄⋊C₄×C₇₃	—	2	2	no	—
402	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
404	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
405	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
406	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
407	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
408	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
409	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
410	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
411	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
412	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
414	C₂²⋊C₄×C₇₃	—	2	1	no	—
415	C₂²⋊C₄×C₇₃	—	2	1	no	—
416	C₂²⋊C₄×C₇₃	—	2	1	no	—
417	C₂²⋊C₄×C₇₃	—	2	2	no	—
418	C₂²⋊C₄×C₇₃	—	2	2	no	—
419	C₂²⋊C₄×C₇₃	—	2	2	no	—
420	C₂²⋊C₄×C₇₃	—	2	2	no	—
421	C₂²⋊C₄×C₇₃	—	2	2	no	—
422	C₂²⋊C₄×C₇₃	—	2	2	no	—
423	C₂²⋊C₄×C₇₃	—	2	1	no	—
424	C₂²⋊C₄×C₇₃	—	2	1	no	—
425	C₂²⋊C₄×C₇₃	—	2	1	no	—
426	C₂²⋊C₄×C₇₃	—	2	2	no	—
427	C₂²⋊C₄×C₇₃	—	2	2	no	—
428	C₂²⋊C₄×C₇₃	—	2	1	no	—
429	C₂²⋊C₄×C₇₃	—	2	2	no	—
430	C₂²⋊C₄×C₇₃	—	2	2	no	—
431	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
432	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
433	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
434	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
435	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
436	C₄²×C₇₃	—	2	2	no	—
437	C₄²×C₇₃	—	2	1	no	—
438	C₄²×C₇₃	—	2	1	no	—
439	C₄²×C₇₃	—	2	1	no	—
440	C₄²×C₇₃	—	2	2	no	—
441	C₄²×C₇₃	—	2	2	no	—
442	C₄²×C₇₃	—	2	2	no	—
443	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
444	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
445	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
446	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
447	C₄²×C₇₃	C₂⁴	1	2	yes	—
448	C₂³×C₇₃	—	2	2	no	—
449	C₂³×C₇₃	—	2	1	no	—
450	C₂³×C₇₃	—	2	2	no	—
451	C₂³×C₇₃	—	4	4	no	—
452	C₂³×C₇₃	—	8	2	no	—
453	C₂³×C₇₃	—	8	2	no	—
454	C₂³×C₇₃	—	8	2	no	—
455	C₂³×C₇₃	—	8	2	no	—
456	C₂³×C₇₃	—	8	2	no	—
457	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
458	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
459	Q₈×C₇₃	—	2	2	no	—
460	Q₈×C₇₃	—	2	1	no	—
461	Q₈×C₇₃	—	2	1	no	—
462	Q₈×C₇₃	—	2	1	no	—
463	Q₈×C₇₃	—	2	1	no	—
464	Q₈×C₇₃	—	2	1	no	—
465	Q₈×C₇₃	—	2	1	no	—
466	Q₈×C₇₃	—	4	2	no	—
467	Q₈×C₇₃	—	8	1	no	—
468	Q₈×C₇₃	—	8	1	no	—
469	Q₈×C₇₃	—	8	2	no	—
470	D₄×C₇₃	—	2	2	no	—
471	D₄×C₇₃	—	2	2	no	—
472	D₄×C₇₃	—	2	1	no	—
473	D₄×C₇₃	—	2	2	no	—
474	D₄×C₇₃	—	2	1	no	—
475	D₄×C₇₃	—	2	2	no	—
476	D₄×C₇₃	—	2	2	no	—
477	D₄×C₇₃	—	4	2	no	—
478	D₄×C₇₃	—	4	2	no	—
479	D₄×C₇₃	—	4	2	no	—
480	D₄×C₇₃	—	4	2	no	—
481	D₄×C₇₃	—	8	2	no	—
482	D₄×C₇₃	—	8	2	no	—
483	D₄×C₇₃	—	8	1	no	—
484	D₄×C₇₃	—	8	2	no	—
485	D₄×C₇₃	—	8	1	no	—
486	D₄×C₇₃	—	8	2	no	—
487	D₄×C₇₃	—	8	2	no	—
488	D₄×C₇₃	—	8	2	no	—
489	D₄×C₇₃	—	8	2	no	—
490	D₄×C₇₃	—	8	2	no	—
491	D₄×C₇₃	—	8	2	no	—
492	C₂×C₄×C₇₃	—	2	2	no	—
493	C₂×C₄×C₇₃	—	2	2	no	—
494	C₂×C₄×C₇₃	—	2	1	no	—
495	C₂×C₄×C₇₃	—	2	1	no	—
496	C₂×C₄×C₇₃	—	2	2	no	—
497	C₂×C₄×C₇₃	—	2	1	no	—
498	C₂×C₄×C₇₃	—	2	1	no	—
499	C₂×C₄×C₇₃	—	2	2	no	—
500	C₂×C₄×C₇₃	—	2	1	no	—
501	C₂×C₄×C₇₃	—	2	2	no	—
502	C₂×C₄×C₇₃	—	2	1	no	—
503	C₂×C₄×C₇₃	—	2	1	no	—
504	C₂×C₄×C₇₃	—	2	1	no	—
505	C₂×C₄×C₇₃	—	2	1	no	—
506	C₂×C₄×C₇₃	—	4	1	no	—
507	C₂×C₄×C₇₃	—	4	2	no	—
508	C₂×C₄×C₇₃	—	8	2	no	—
509	C₂×C₄×C₇₃	—	8	2	no	—
510	C₂×C₄×C₇₃	—	8	2	no	—
511	C₂×C₄×C₇₃	—	8	2	no	—
512	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
514	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
515	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
521	C₈×C₇₃	—	2	1	no	—
522	C₈×C₇₃	—	2	2	no	—
523	C₈×C₇₃	—	2	1	no	—
524	C₈×C₇₃	—	2	2	no	—
525	C₈×C₇₃	—	2	1	no	—
526	C₈×C₇₃	—	2	1	no	—
527	C₂²×C₇₃	—	2	1	no	—
528	C₂²×C₇₃	—	2	2	no	—
529	C₂²×C₇₃	—	2	2	no	—
530	C₂²×C₇₃	—	2	1	no	—
531	C₂²×C₇₃	—	2	1	no	—
532	C₂²×C₇₃	—	2	2	no	—
533	C₂²×C₇₃	—	4	2	no	—
534	C₂²×C₇₃	—	4	1	no	—
535	C₂²×C₇₃	—	4	2	no	—
536	C₂²×C₇₃	—	4	2	no	—
537	C₂²×C₇₃	—	4	2	no	—
538	C₂²×C₇₃	—	4	1	no	—
539	C₂²×C₇₃	—	4	1	no	—
540	C₂²×C₇₃	—	4	2	no	—
541	C₂²×C₇₃	—	4	2	no	—
542	C₂²×C₇₃	—	16	4	no	—
543	C₂²×C₇₃	—	16	4	no	—
544	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
545	C₄×C₇₃	—	2	1	no	—
546	C₄×C₇₃	—	2	1	no	—
547	C₄×C₇₃	—	2	2	no	—
548	C₄×C₇₃	—	2	2	no	—
549	C₄×C₇₃	—	2	1	no	—
550	C₄×C₇₃	—	2	1	no	—
551	C₄×C₇₃	—	2	2	no	—
552	C₄×C₇₃	—	4	1	no	—
553	C₄×C₇₃	—	4	1	no	—
554	C₄×C₇₃	—	4	2	no	—
555	C₄×C₇₃	—	4	1	no	—
556	C₄×C₇₃	—	4	1	no	—
557	C₄×C₇₃	—	4	1	no	—
558	C₄×C₇₃	—	4	1	no	—
559	C₄×C₇₃	—	4	1	no	—
560	C₄×C₇₃	—	4	2	no	—
561	C₄×C₇₃	#577	1	2	yes	—
562	C₄×C₇₃	#585	1	1	yes	characteristic
563	C₄×C₇₃	#585	1	1	yes	characteristic
564	#62608	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
565	C₂×C₇₃	—	4	2	no	—
566	C₂×C₇₃	—	4	1	no	—
567	C₂×C₇₃	—	8	2	no	—
568	C₂×C₇₃	—	8	2	no	—
569	C₂×C₇₃	—	8	1	no	—
570	C₂×C₇₃	#3500	1	1	yes	characteristic
571	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
572	C₂×C₇₃	#3585	1	1	yes	characteristic
573	#3555	C₂×C₇₃	1	1	yes	characteristic, complemented
574	#3543	C₂×C₇₃	1	1	yes	characteristic
575	#3375	C₂×C₇₃	1	1	yes	characteristic, complemented
576	#3368	C₂×C₇₃	1	1	yes	characteristic, complemented
577	#3365	C₂×C₇₃	1	1	yes	characteristic, complemented
578	#3362	C₂×C₇₃	1	1	yes	characteristic, complemented
579	#3333	C₂×C₇₃	1	1	yes	characteristic, complemented
580	#3324	C₂×C₇₃	1	1	yes	characteristic, complemented
581	#3324	C₂×C₇₃	1	2	yes	complemented
582	#3323	C₂×C₇₃	1	2	yes	complemented
583	#3311	C₂×C₇₃	1	2	yes	complemented
584	#3310	C₂×C₇₃	1	2	yes	complemented
585	#3304	C₂×C₇₃	1	1	yes	characteristic, complemented
586	#3295	C₂×C₇₃	1	1	yes	characteristic, complemented
587	#3241	C₂×C₇₃	1	2	yes	complemented
588	#3233	C₂×C₇₃	1	1	yes	characteristic, complemented
589	#3222	C₂×C₇₃	1	2	yes	complemented
590	#3208	C₂×C₇₃	1	1	yes	characteristic, complemented
591	#3174	C₂×C₇₃	1	2	yes	complemented
592	#3172	C₂×C₇₃	1	1	yes	characteristic, complemented
593	#3138	C₂×C₇₃	1	1	yes	characteristic, complemented
594	#3136	C₂×C₇₃	1	2	yes	complemented
595	#2969	C₂×C₇₃	1	1	yes	characteristic, complemented
596	C₇₃	#62608	1	1	yes	characteristic, direct product factor, Sylow
597	#563	—	2	2	no	—
598	#560	—	2	2	no	—
599	#559	C₂²×C₇₃	1	1	yes	characteristic
600	Q₈²	C₂²×C₇₃	1	1	yes	characteristic, complemented
601	#557	—	2	1	no	—
602	#557	C₂²×C₇₃	1	1	yes	characteristic, complemented
603	#556	—	2	1	no	—
604	#556	C₂²×C₇₃	1	1	yes	characteristic, complemented
605	#556	C₂²×C₇₃	1	2	yes	complemented
606	#554	C₂²×C₇₃	1	1	yes	characteristic, complemented
607	#552	C₂²×C₇₃	1	2	yes	complemented
608	#550	C₂²×C₇₃	1	1	yes	characteristic
609	#550	C₂²×C₇₃	1	1	yes	characteristic
610	#546	—	2	1	no	—
611	#546	C₂²×C₇₃	1	2	yes	—
612	D₄²	—	2	1	no	—
613	D₄²	C₂²×C₇₃	1	1	yes	characteristic
614	D₄²	C₂²×C₇₃	1	2	yes	—
615	#544	C₂²×C₇₃	1	2	yes	complemented
616	#542	—	2	1	no	—
617	#541	—	2	2	no	—
618	#541	—	2	1	no	—
619	#541	C₂²×C₇₃	1	2	yes	complemented
620	#540	—	2	1	no	—
621	#540	C₂²×C₇₃	1	2	yes	—
622	#535	—	2	1	no	—
623	#535	C₂²×C₇₃	1	2	yes	—
624	#534	—	2	2	no	—
625	#533	C₂²×C₇₃	1	1	yes	characteristic, complemented
626	#533	C₂²×C₇₃	1	1	yes	characteristic, complemented
627	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic
628	#529	C₂²×C₇₃	1	1	yes	characteristic
629	#529	C₂²×C₇₃	1	1	yes	characteristic
630	#501	C₂²×C₇₃	1	1	yes	characteristic, complemented
631	#499	C₂²×C₇₃	1	2	yes	complemented
632	#497	C₂²×C₇₃	1	1	yes	characteristic, complemented
633	#492	C₂²×C₇₃	1	2	yes	complemented
634	#491	C₂²×C₇₃	1	1	yes	characteristic, complemented
635	#490	C₂²×C₇₃	1	2	yes	complemented
636	#490	C₂²×C₇₃	1	2	yes	complemented
637	#490	C₂²×C₇₃	1	2	yes	complemented
638	#489	C₂²×C₇₃	1	2	yes	complemented
639	#489	C₂²×C₇₃	1	1	yes	characteristic, complemented
640	#488	C₂²×C₇₃	1	2	yes	complemented
641	#488	C₂²×C₇₃	1	2	yes	complemented
642	#486	C₂²×C₇₃	1	1	yes	characteristic
643	#486	C₂²×C₇₃	1	1	yes	characteristic
644	#486	C₂²×C₇₃	1	1	yes	characteristic, complemented
645	#486	C₂²×C₇₃	1	2	yes	complemented
646	#486	C₂²×C₇₃	1	1	yes	characteristic, complemented
647	#486	C₂²×C₇₃	1	2	yes	complemented
648	#485	C₂²×C₇₃	1	2	yes	complemented
649	#482	C₂²×C₇₃	1	2	yes	—
650	#482	C₂²×C₇₃	1	2	yes	complemented
651	#482	C₂²×C₇₃	1	2	yes	complemented
652	#481	C₂²×C₇₃	1	2	yes	complemented
653	#480	C₂²×C₇₃	1	2	yes	complemented
654	#478	C₂²×C₇₃	1	2	yes	complemented
655	#478	C₂²×C₇₃	1	2	yes	complemented
656	#477	C₂²×C₇₃	1	1	yes	characteristic, complemented
657	#476	C₂²×C₇₃	1	1	yes	characteristic, complemented
658	#476	C₂²×C₇₃	1	2	yes	complemented
659	#475	C₂²×C₇₃	1	1	yes	characteristic, complemented
660	#474	C₂²×C₇₃	1	1	yes	characteristic, complemented
661	#474	C₂²×C₇₃	1	2	yes	complemented
662	#470	C₂²×C₇₃	1	1	yes	characteristic, complemented
663	#470	C₂²×C₇₃	1	1	yes	characteristic, complemented
664	#468	C₂²×C₇₃	1	1	yes	characteristic
665	#468	C₂²×C₇₃	1	1	yes	characteristic
666	#468	C₂²×C₇₃	1	2	yes	complemented
667	#468	C₂²×C₇₃	1	2	yes	complemented
668	#465	C₂²×C₇₃	1	2	yes	complemented
669	#465	C₂²×C₇₃	1	2	yes	complemented
670	#464	C₂²×C₇₃	1	2	yes	complemented
671	#464	C₂²×C₇₃	1	2	yes	complemented
672	#460	C₂²×C₇₃	1	1	yes	characteristic
673	#460	C₂²×C₇₃	1	1	yes	characteristic
674	#460	C₂²×C₇₃	1	1	yes	characteristic, complemented
675	#460	C₂²×C₇₃	1	1	yes	characteristic, complemented
676	#460	C₂²×C₇₃	1	2	yes	complemented
677	#460	C₂²×C₇₃	1	2	yes	complemented
678	#452	C₂²×C₇₃	1	2	yes	complemented
679	#452	C₂²×C₇₃	1	2	yes	complemented
680	#450	C₂²×C₇₃	1	2	yes	complemented
681	#450	C₂²×C₇₃	1	2	yes	complemented
682	#450	C₂²×C₇₃	1	2	yes	complemented
683	#450	C₂²×C₇₃	1	2	yes	complemented
684	#446	C₂²×C₇₃	1	1	yes	characteristic, complemented
685	C₈×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
686	#440	C₂²×C₇₃	1	2	yes	complemented
687	#440	C₂²×C₇₃	1	2	yes	complemented
688	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic, complemented
689	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic, complemented
690	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic, complemented
691	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	complemented
692	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	complemented
693	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic, complemented
694	#436	C₂²×C₇₃	1	1	yes	characteristic, complemented
695	#436	C₂²×C₇₃	1	2	yes	complemented
696	#435	C₂²×C₇₃	1	2	yes	complemented
697	C₈×D₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
698	#433	C₂²×C₇₃	1	2	yes	complemented
699	#431	C₂²×C₇₃	1	1	yes	characteristic, complemented
700	#418	C₂²×C₇₃	1	2	yes	complemented
701	#418	C₂²×C₇₃	1	2	yes	complemented
702	#418	C₂²×C₇₃	1	2	yes	complemented
703	#417	C₂²×C₇₃	1	2	yes	complemented
704	#416	C₂²×C₇₃	1	2	yes	complemented
705	C₂×#102	C₂²×C₇₃	1	2	yes	complemented
706	#405	C₂²×C₇₃	1	2	yes	complemented
707	C₄×M₁₆	C₂²×C₇₃	1	1	yes	characteristic, complemented
708	C₂×#41	—	2	1	no	—
709	C₂×#41	C₂³×C₇₃	1	2	yes	—
710	C₂²×D₄	—	2	2	no	—
711	C₂²×D₄	—	2	1	no	—
712	C₂²×D₄	—	2	1	no	—
713	C₂²×D₄	—	2	1	no	—
714	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
715	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
716	C₂×Q₁₆	C₂³×C₇₃	1	1	yes	characteristic
717	C₂×Q₁₆	C₂³×C₇₃	1	1	yes	characteristic
718	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
719	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
720	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
721	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
722	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
723	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
724	C₂×M₁₆	C₂³×C₇₃	1	1	yes	characteristic
725	C₂×M₁₆	C₂³×C₇₃	1	1	yes	characteristic
726	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
727	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
728	C₄⋊Q₈	—	2	1	no	—
729	C₄⋊Q₈	—	2	2	no	—
730	C₄⋊Q₈	—	2	1	no	—
731	C₄⋊Q₈	—	2	2	no	—
732	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
733	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
734	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
735	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
736	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
737	#127	—	2	1	no	—
738	#127	—	2	1	no	—
739	#127	—	2	1	no	—
740	#127	C₂³×C₇₃	1	2	yes	—
741	#127	C₂³×C₇₃	1	1	yes	characteristic
742	#127	C₂³×C₇₃	1	1	yes	characteristic
743	#127	C₂³×C₇₃	1	2	yes	—
744	#126	—	2	2	no	—
745	#126	—	2	2	no	—
746	#126	—	2	2	no	—
747	#126	—	2	2	no	—
748	#126	—	2	2	no	—
749	#126	—	2	2	no	—
750	#126	—	2	1	no	—
751	#126	D₄×C₇₃	1	2	yes	—
752	#125	—	2	2	no	—
753	#125	—	2	2	no	—
754	#125	—	2	2	no	—
755	#125	—	2	1	no	—
756	#125	—	2	2	no	—
757	#125	—	2	2	no	—
758	#125	—	2	1	no	—
759	#125	D₄×C₇₃	1	1	yes	characteristic
760	#125	C₂³×C₇₃	1	1	yes	characteristic
761	#125	C₂³×C₇₃	1	2	yes	—
762	#125	C₂³×C₇₃	1	2	yes	—
763	#124	—	2	1	no	—
764	#124	—	2	1	no	—
765	#124	—	2	2	no	—
766	#124	D₄×C₇₃	1	1	yes	characteristic
767	#124	C₂³×C₇₃	1	1	yes	characteristic
768	#124	C₂³×C₇₃	1	2	yes	—
769	#123	—	2	2	no	—
770	#123	—	2	1	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	D₄×C₇₃	1	2	yes	—
776	C₂²⋊Q₈	—	2	1	no	—
777	C₂²⋊Q₈	—	2	1	no	—
778	C₂²⋊Q₈	—	2	1	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	D₄×C₇₃	1	1	yes	characteristic
783	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
784	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
785	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
786	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
787	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
788	#121	—	2	2	no	—
789	#121	—	2	2	no	—
790	#121	—	2	2	no	—
791	#121	—	2	1	no	—
792	#121	—	2	1	no	—
793	#121	—	2	2	no	—
794	#121	—	2	2	no	—
795	#121	—	2	2	no	—
796	#121	—	2	2	no	—
797	#121	—	2	2	no	—
798	#121	D₄×C₇₃	1	1	yes	characteristic
799	#121	C₂³×C₇₃	1	1	yes	characteristic
800	#121	C₂³×C₇₃	1	2	yes	—
801	#121	C₂³×C₇₃	1	2	yes	—
802	#120	—	2	2	no	—
803	#120	—	2	2	no	—
804	#120	—	2	2	no	—
805	#120	—	2	2	no	—
806	#120	—	2	2	no	—
807	#120	—	2	2	no	—
808	C₄×Q₈	—	2	1	no	—
809	C₄×Q₈	—	2	2	no	—
810	C₄×Q₈	—	2	1	no	—
811	C₄×Q₈	—	2	1	no	—
812	C₄×Q₈	—	2	1	no	—
813	C₄×Q₈	—	2	1	no	—
814	C₄×Q₈	—	2	1	no	—
815	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
816	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
817	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
818	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
819	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
820	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
826	C₄×D₄	C₂³×C₇₃	1	2	yes	—
827	C₄×D₄	C₂³×C₇₃	1	2	yes	—
828	C₄×D₄	C₂³×C₇₃	1	2	yes	—
829	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
830	#117	—	2	1	no	—
831	#117	—	2	2	no	—
832	#117	—	2	1	no	—
833	#117	C₂³×C₇₃	1	2	yes	—
834	#117	C₂³×C₇₃	1	2	yes	—
835	#117	C₂³×C₇₃	1	2	yes	—
836	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
837	C₂×C₂²⋊C₄	—	2	2	no	—
838	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
839	#107	C₂³×C₇₃	1	1	yes	characteristic
840	#107	C₂³×C₇₃	1	1	yes	characteristic
841	#107	C₂³×C₇₃	1	2	yes	—
842	#107	C₂³×C₇₃	1	2	yes	—
843	#106	C₂³×C₇₃	1	2	yes	—
844	#106	C₂³×C₇₃	1	2	yes	—
845	#106	C₂³×C₇₃	1	1	yes	characteristic
846	#106	C₂³×C₇₃	1	1	yes	characteristic
847	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
848	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
849	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
850	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
851	#103	C₂³×C₇₃	1	1	yes	characteristic
852	#103	C₂³×C₇₃	1	2	yes	—
853	#103	C₂³×C₇₃	1	1	yes	characteristic
854	#103	C₂³×C₇₃	1	2	yes	—
855	#103	C₂³×C₇₃	1	1	yes	characteristic
856	#103	C₂³×C₇₃	1	1	yes	characteristic
857	#103	C₂³×C₇₃	1	1	yes	characteristic
858	#103	C₂³×C₇₃	1	1	yes	characteristic
859	#102	C₂³×C₇₃	1	1	yes	characteristic
860	#102	C₂³×C₇₃	1	2	yes	—
861	#102	C₂³×C₇₃	1	2	yes	—
862	#102	C₂³×C₇₃	1	2	yes	—
863	#102	C₂³×C₇₃	1	2	yes	—
864	#102	C₂³×C₇₃	1	2	yes	—
865	#102	C₂³×C₇₃	1	2	yes	—
866	#102	C₂³×C₇₃	1	2	yes	—
867	#102	C₂³×C₇₃	1	1	yes	characteristic
868	#102	C₂³×C₇₃	1	2	yes	—
869	#102	C₂³×C₇₃	1	2	yes	—
870	#102	C₂³×C₇₃	1	2	yes	—
871	#102	C₂³×C₇₃	1	2	yes	—
872	#102	C₂³×C₇₃	1	2	yes	—
873	#102	C₂³×C₇₃	1	2	yes	—
874	#102	C₂³×C₇₃	1	2	yes	—
875	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
876	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
877	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
878	#97	C₂³×C₇₃	1	1	yes	characteristic
879	#97	C₂³×C₇₃	1	1	yes	characteristic
880	#97	C₂³×C₇₃	1	2	yes	—
881	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
882	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
883	C₄×C₈	C₂³×C₇₃	1	2	yes	—
884	C₄×C₈	C₂³×C₇₃	1	2	yes	—
885	C₂⁴	—	2	2	no	—
886	C₂⁴	—	2	2	no	—
887	#41	—	4	2	no	—
888	#41	—	4	2	no	—
889	#41	—	8	2	no	—
890	C₂×Q₈	—	2	1	no	—
891	C₂×Q₈	—	2	1	no	—
892	C₂×Q₈	—	2	1	no	—
893	C₂×Q₈	—	2	2	no	—
894	C₂×Q₈	C₂×D₄×C₇₃	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
896	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
897	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	1	no	—
903	C₂×D₄	—	2	1	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	1	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	2	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	1	no	—
912	C₂×D₄	—	4	2	no	—
913	C₂×D₄	—	4	2	no	—
914	C₂×D₄	—	4	2	no	—
915	C₂×D₄	—	4	2	no	—
916	C₂×D₄	—	8	2	no	—
917	C₂×D₄	—	8	2	no	—
918	C₂×D₄	—	8	2	no	—
919	C₂×D₄	—	8	4	no	—
920	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
921	C₂×D₄	C₂×D₄×C₇₃	1	2	yes	—
922	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
923	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
924	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
931	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
932	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
933	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
934	Q₁₆	—	4	1	no	—
935	Q₁₆	—	4	1	no	—
936	SD₁₆	—	4	2	no	—
937	SD₁₆	—	4	2	no	—
938	SD₁₆	—	4	2	no	—
939	SD₁₆	—	4	2	no	—
940	SD₁₆	—	4	1	no	—
941	SD₁₆	—	4	1	no	—
942	M₁₆	—	4	1	no	—
943	M₁₆	—	4	2	no	—
944	M₁₆	—	4	1	no	—
945	C₂×C₈	—	4	2	no	—
946	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
947	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
948	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
949	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
950	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
951	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
976	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
977	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
978	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
979	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
980	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
981	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
982	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
983	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
984	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
985	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
986	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	—	2	1	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1005	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1006	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1007	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1008	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	2	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1017	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1018	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1019	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1020	C₄²	C₂⁴×C₇₃	1	2	yes	—
1021	C₂³	—	2	1	no	—
1022	C₂³	—	2	2	no	—
1023	C₂³	—	2	2	no	—
1024	C₂³	—	4	4	no	—
1025	C₂³	—	8	2	no	—
1026	C₂³	—	8	2	no	—
1027	C₂³	—	8	2	no	—
1028	C₂³	—	8	2	no	—
1029	C₂³	—	8	2	no	—
1030	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
1031	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	2	1	no	—
1034	Q₈	—	2	1	no	—
1035	Q₈	—	2	1	no	—
1036	Q₈	—	2	1	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	2	1	no	—
1039	Q₈	—	4	2	no	—
1040	Q₈	—	8	1	no	—
1041	Q₈	—	8	1	no	—
1042	Q₈	—	8	2	no	—
1043	D₄	—	2	2	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	2	1	no	—
1046	D₄	—	2	2	no	—
1047	D₄	—	2	1	no	—
1048	D₄	—	2	2	no	—
1049	D₄	—	2	2	no	—
1050	D₄	—	4	2	no	—
1051	D₄	—	4	2	no	—
1052	D₄	—	4	2	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	8	2	no	—
1055	D₄	—	8	2	no	—
1056	D₄	—	8	2	no	—
1057	D₄	—	8	1	no	—
1058	D₄	—	8	2	no	—
1059	D₄	—	8	1	no	—
1060	D₄	—	8	2	no	—
1061	D₄	—	8	2	no	—
1062	D₄	—	8	2	no	—
1063	D₄	—	8	2	no	—
1064	D₄	—	8	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	4	1	no	—
1080	C₂×C₄	—	4	2	no	—
1081	C₂×C₄	—	8	2	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	—	8	2	no	—
1084	C₂×C₄	—	8	2	no	—
1085	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1086	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1087	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1088	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1089	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1090	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1091	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1092	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1093	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
1094	C₈	—	2	1	no	—
1095	C₈	—	2	2	no	—
1096	C₈	—	2	1	no	—
1097	C₈	—	2	2	no	—
1098	C₈	—	2	1	no	—
1099	C₈	—	2	1	no	—
1100	C₂²	—	2	2	no	—
1101	C₂²	—	2	1	no	—
1102	C₂²	—	2	1	no	—
1103	C₂²	—	2	2	no	—
1104	C₂²	—	2	1	no	—
1105	C₂²	—	2	2	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	1	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	2	no	—
1112	C₂²	—	4	2	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	—	16	4	no	—
1116	C₂²	—	16	4	no	—
1117	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1118	C₄	—	2	2	no	—
1119	C₄	—	2	1	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	2	no	—
1122	C₄	—	2	1	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	2	no	—
1125	C₄	—	4	1	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	1	no	—
1128	C₄	—	4	1	no	—
1129	C₄	—	4	2	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	2	no	—
1133	C₄	—	4	1	no	—
1134	C₄	#577×C₇₃	1	2	yes	—
1135	C₄	#585×C₇₃	1	1	yes	characteristic
1136	C₄	#585×C₇₃	1	1	yes	characteristic
1137	C₂	—	4	1	no	—
1138	C₂	—	4	2	no	—
1139	C₂	—	8	1	no	—
1140	C₂	—	8	2	no	—
1141	C₂	—	8	2	no	—
1142	C₂	C₇₃×#3500	1	1	yes	characteristic
1143	C₂	C₂×#577×C₇₃	1	1	yes	characteristic
1144	C₂	C₇₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇₃
prime radical	C₇₃×#3543	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₃ ◁ #529×C₇₃ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₇₃×#3555	C₂	semidirect
3. C₇₃×#3375	C₂	semidirect
4. C₇₃×#3368	C₂	semidirect
5. C₇₃×#3365	C₂	semidirect
6. C₇₃×#3362	C₂	semidirect
7. C₇₃×#3333	C₂	semidirect
8. C₇₃×#3324	C₂	semidirect
9. C₇₃×#3324	C₂	semidirect
10. C₇₃×#3323	C₂	semidirect
11. C₇₃×#3311	C₂	semidirect
12. C₇₃×#3310	C₂	semidirect
13. C₇₃×#3304	C₂	semidirect
14. C₇₃×#3295	C₂	semidirect
15. C₇₃×#3241	C₂	semidirect
16. C₇₃×#3233	C₂	semidirect
17. C₇₃×#3222	C₂	semidirect
18. C₇₃×#3208	C₂	semidirect
19. C₇₃×#3174	C₂	semidirect
20. C₇₃×#3172	C₂	semidirect
21. C₇₃×#3138	C₂	semidirect
22. C₇₃×#3136	C₂	semidirect
23. C₇₃×#2969	C₂	semidirect
27. Q₈²×C₇₃	C₂²	semidirect
29. #557×C₇₃	C₂²	semidirect
31. #556×C₇₃	C₂²	semidirect
32. #556×C₇₃	C₂²	semidirect
33. #554×C₇₃	C₂²	semidirect
34. #552×C₇₃	C₂²	semidirect
42. #544×C₇₃	C₂²	semidirect
46. #541×C₇₃	C₂²	semidirect
52. #533×C₇₃	C₂²	semidirect
53. #533×C₇₃	C₂²	semidirect
57. #501×C₇₃	C₂²	semidirect
58. #499×C₇₃	C₂²	semidirect
59. #497×C₇₃	C₂²	semidirect
60. #492×C₇₃	C₂²	semidirect
61. #491×C₇₃	C₂²	semidirect
62. #490×C₇₃	C₂²	semidirect
63. #490×C₇₃	C₂²	semidirect
64. #490×C₇₃	C₂²	semidirect
65. #489×C₇₃	C₂²	semidirect
66. #489×C₇₃	C₂²	semidirect
67. #488×C₇₃	C₂²	semidirect
68. #488×C₇₃	C₂²	semidirect
71. #486×C₇₃	C₂²	semidirect
72. #486×C₇₃	C₂²	semidirect
73. #486×C₇₃	C₂²	semidirect
74. #486×C₇₃	C₂²	semidirect
75. #485×C₇₃	C₂²	semidirect
77. #482×C₇₃	C₂²	semidirect
78. #482×C₇₃	C₂²	semidirect
79. #481×C₇₃	C₂²	semidirect
80. #480×C₇₃	C₂²	semidirect
81. #478×C₇₃	C₂²	semidirect
82. #478×C₇₃	C₂²	semidirect
83. #477×C₇₃	C₂²	semidirect
84. #476×C₇₃	C₂²	semidirect
85. #476×C₇₃	C₂²	semidirect
86. #475×C₇₃	C₂²	semidirect
87. #474×C₇₃	C₂²	semidirect
88. #474×C₇₃	C₂²	semidirect
89. #470×C₇₃	C₂²	semidirect
90. #470×C₇₃	C₂²	semidirect
93. #468×C₇₃	C₂²	semidirect
94. #468×C₇₃	C₂²	semidirect
95. #465×C₇₃	C₂²	semidirect
96. #465×C₇₃	C₂²	semidirect
97. #464×C₇₃	C₂²	semidirect
98. #464×C₇₃	C₂²	semidirect
101. #460×C₇₃	C₂²	semidirect
102. #460×C₇₃	C₂²	semidirect
103. #460×C₇₃	C₂²	semidirect
104. #460×C₇₃	C₂²	semidirect
105. #452×C₇₃	C₂²	semidirect
106. #452×C₇₃	C₂²	semidirect
107. #450×C₇₃	C₂²	semidirect
108. #450×C₇₃	C₂²	semidirect
109. #450×C₇₃	C₂²	semidirect
110. #450×C₇₃	C₂²	semidirect
111. #446×C₇₃	C₂²	semidirect
112. C₈×Q₈×C₇₃	C₂²	semidirect
113. #440×C₇₃	C₂²	semidirect
114. #440×C₇₃	C₂²	semidirect
115. C₄×Q₁₆×C₇₃	C₂²	semidirect
116. C₄×Q₁₆×C₇₃	C₂²	semidirect
117. C₄×SD₁₆×C₇₃	C₂²	semidirect
118. C₄×SD₁₆×C₇₃	C₂²	semidirect
119. C₄×SD₁₆×C₇₃	C₂²	semidirect
120. C₄×SD₁₆×C₇₃	C₂²	semidirect
121. #436×C₇₃	C₂²	semidirect
122. #436×C₇₃	C₂²	semidirect
123. #435×C₇₃	C₂²	semidirect
124. C₈×D₄×C₇₃	C₂²	semidirect
125. #433×C₇₃	C₂²	semidirect
126. #431×C₇₃	C₂²	semidirect
127. #418×C₇₃	C₂²	semidirect
128. #418×C₇₃	C₂²	semidirect
129. #418×C₇₃	C₂²	semidirect
130. #417×C₇₃	C₂²	semidirect
131. #416×C₇₃	C₂²	semidirect
132. C₂×#102×C₇₃	C₂²	semidirect
133. #405×C₇₃	C₂²	semidirect
134. C₄×M₁₆×C₇₃	C₂²	semidirect
564. #62608	C₇₃	direct (N × H)
573. #3555	C₂×C₇₃	semidirect
575. #3375	C₂×C₇₃	semidirect
576. #3368	C₂×C₇₃	semidirect
577. #3365	C₂×C₇₃	semidirect
578. #3362	C₂×C₇₃	semidirect
579. #3333	C₂×C₇₃	semidirect
580. #3324	C₂×C₇₃	semidirect
581. #3324	C₂×C₇₃	semidirect
582. #3323	C₂×C₇₃	semidirect
583. #3311	C₂×C₇₃	semidirect
584. #3310	C₂×C₇₃	semidirect
585. #3304	C₂×C₇₃	semidirect
586. #3295	C₂×C₇₃	semidirect
587. #3241	C₂×C₇₃	semidirect
588. #3233	C₂×C₇₃	semidirect
589. #3222	C₂×C₇₃	semidirect
590. #3208	C₂×C₇₃	semidirect
591. #3174	C₂×C₇₃	semidirect
592. #3172	C₂×C₇₃	semidirect
593. #3138	C₂×C₇₃	semidirect
594. #3136	C₂×C₇₃	semidirect
595. #2969	C₂×C₇₃	semidirect
596. C₇₃	#62608	direct (N × H)
600. Q₈²	C₂²×C₇₃	semidirect
602. #557	C₂²×C₇₃	semidirect
604. #556	C₂²×C₇₃	semidirect
605. #556	C₂²×C₇₃	semidirect
606. #554	C₂²×C₇₃	semidirect
607. #552	C₂²×C₇₃	semidirect
615. #544	C₂²×C₇₃	semidirect
619. #541	C₂²×C₇₃	semidirect
625. #533	C₂²×C₇₃	semidirect
626. #533	C₂²×C₇₃	semidirect
630. #501	C₂²×C₇₃	semidirect
631. #499	C₂²×C₇₃	semidirect
632. #497	C₂²×C₇₃	semidirect
633. #492	C₂²×C₇₃	semidirect
634. #491	C₂²×C₇₃	semidirect
635. #490	C₂²×C₇₃	semidirect
636. #490	C₂²×C₇₃	semidirect
637. #490	C₂²×C₇₃	semidirect
638. #489	C₂²×C₇₃	semidirect
639. #489	C₂²×C₇₃	semidirect
640. #488	C₂²×C₇₃	semidirect
641. #488	C₂²×C₇₃	semidirect
644. #486	C₂²×C₇₃	semidirect
645. #486	C₂²×C₇₃	semidirect
646. #486	C₂²×C₇₃	semidirect
647. #486	C₂²×C₇₃	semidirect
648. #485	C₂²×C₇₃	semidirect
650. #482	C₂²×C₇₃	semidirect
651. #482	C₂²×C₇₃	semidirect
652. #481	C₂²×C₇₃	semidirect
653. #480	C₂²×C₇₃	semidirect
654. #478	C₂²×C₇₃	semidirect
655. #478	C₂²×C₇₃	semidirect
656. #477	C₂²×C₇₃	semidirect
657. #476	C₂²×C₇₃	semidirect
658. #476	C₂²×C₇₃	semidirect
659. #475	C₂²×C₇₃	semidirect
660. #474	C₂²×C₇₃	semidirect
661. #474	C₂²×C₇₃	semidirect
662. #470	C₂²×C₇₃	semidirect
663. #470	C₂²×C₇₃	semidirect
666. #468	C₂²×C₇₃	semidirect
667. #468	C₂²×C₇₃	semidirect
668. #465	C₂²×C₇₃	semidirect
669. #465	C₂²×C₇₃	semidirect
670. #464	C₂²×C₇₃	semidirect
671. #464	C₂²×C₇₃	semidirect
674. #460	C₂²×C₇₃	semidirect
675. #460	C₂²×C₇₃	semidirect
676. #460	C₂²×C₇₃	semidirect
677. #460	C₂²×C₇₃	semidirect
678. #452	C₂²×C₇₃	semidirect
679. #452	C₂²×C₇₃	semidirect
680. #450	C₂²×C₇₃	semidirect
681. #450	C₂²×C₇₃	semidirect
682. #450	C₂²×C₇₃	semidirect
683. #450	C₂²×C₇₃	semidirect
684. #446	C₂²×C₇₃	semidirect
685. C₈×Q₈	C₂²×C₇₃	semidirect
686. #440	C₂²×C₇₃	semidirect
687. #440	C₂²×C₇₃	semidirect
688. C₄×Q₁₆	C₂²×C₇₃	semidirect
689. C₄×Q₁₆	C₂²×C₇₃	semidirect
690. C₄×SD₁₆	C₂²×C₇₃	semidirect
691. C₄×SD₁₆	C₂²×C₇₃	semidirect
692. C₄×SD₁₆	C₂²×C₇₃	semidirect
693. C₄×SD₁₆	C₂²×C₇₃	semidirect
694. #436	C₂²×C₇₃	semidirect
695. #436	C₂²×C₇₃	semidirect
696. #435	C₂²×C₇₃	semidirect
697. C₈×D₄	C₂²×C₇₃	semidirect
698. #433	C₂²×C₇₃	semidirect
699. #431	C₂²×C₇₃	semidirect
700. #418	C₂²×C₇₃	semidirect
701. #418	C₂²×C₇₃	semidirect
702. #418	C₂²×C₇₃	semidirect
703. #417	C₂²×C₇₃	semidirect
704. #416	C₂²×C₇₃	semidirect
705. C₂×#102	C₂²×C₇₃	semidirect
706. #405	C₂²×C₇₃	semidirect
707. C₄×M₁₆	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×#3555	2
C₇₃×#3543	2
C₇₃×#3375	2
C₇₃×#3368	2
C₇₃×#3365	2
C₇₃×#3362	2
C₇₃×#3333	2
C₇₃×#3324	2
C₇₃×#3323	2
C₇₃×#3311	2
C₇₃×#3310	2
C₇₃×#3304	2
C₇₃×#3295	2
C₇₃×#3241	2
C₇₃×#3233	2
C₇₃×#3222	2
C₇₃×#3208	2
C₇₃×#3174	2
C₇₃×#3172	2
C₇₃×#3138	2
C₇₃×#3136	2
C₇₃×#2969	2
#62608	73

Subgroups — C73×#62608 #32972012

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#62608 #32972012