Subgroups — C₇₃×#62552 #32971956

Order 18688.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1166 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3544	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₃×#3543	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#3362	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#3310	C₂	1	2	yes	maximal, complemented
10	C₇₃×#3306	C₂	1	2	yes	maximal, complemented
11	C₇₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₃×#3296	C₂	1	2	yes	maximal, complemented
13	C₇₃×#3295	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#3294	C₂	1	2	yes	maximal, complemented
15	C₇₃×#3241	C₂	1	2	yes	maximal, complemented
16	C₇₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#3224	C₂	1	2	yes	maximal, complemented
18	C₇₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#3179	C₂	1	2	yes	maximal, complemented
20	C₇₃×#3168	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇₃×#3136	C₂	1	2	yes	maximal, complemented
22	C₂×#486×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#2966	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	#555×C₇₃	C₂²	1	1	yes	characteristic, complemented
29	#554×C₇₃	C₂²	1	1	yes	characteristic, complemented
30	#554×C₇₃	C₂²	1	1	yes	characteristic, complemented
31	#552×C₇₃	—	2	1	no	—
32	#552×C₇₃	C₂²	1	2	yes	complemented
33	#550×C₇₃	C₂²	1	1	yes	characteristic
34	#550×C₇₃	C₂²	1	1	yes	characteristic
35	#547×C₇₃	—	2	1	no	—
36	#547×C₇₃	C₂²	1	2	yes	complemented
37	#546×C₇₃	—	2	1	no	—
38	#546×C₇₃	C₂²	1	2	yes	—
39	D₄²×C₇₃	—	2	1	no	—
40	D₄²×C₇₃	C₂²	1	2	yes	—
41	D₄²×C₇₃	C₂²	1	1	yes	characteristic
42	#544×C₇₃	—	2	1	no	—
43	#544×C₇₃	C₂²	1	2	yes	complemented
44	#542×C₇₃	—	2	1	no	—
45	#542×C₇₃	C₂²	1	2	yes	complemented
46	#540×C₇₃	—	2	1	no	—
47	#540×C₇₃	C₂²	1	2	yes	—
48	#536×C₇₃	—	2	2	no	—
49	#535×C₇₃	—	2	1	no	—
50	#535×C₇₃	C₂²	1	2	yes	—
51	#534×C₇₃	—	2	2	no	—
52	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic
54	#529×C₇₃	C₂²	1	1	yes	characteristic
55	#529×C₇₃	C₂²	1	1	yes	characteristic
56	#529×C₇₃	C₂²	1	1	yes	characteristic, complemented
57	#501×C₇₃	C₂²	1	2	yes	complemented
58	#499×C₇₃	C₂²	1	1	yes	characteristic, complemented
59	#496×C₇₃	C₂²	1	2	yes	complemented
60	#495×C₇₃	C₂²	1	1	yes	characteristic, complemented
61	#490×C₇₃	C₂²	1	2	yes	complemented
62	#490×C₇₃	C₂²	1	2	yes	complemented
63	#489×C₇₃	C₂²	1	2	yes	complemented
64	#489×C₇₃	C₂²	1	2	yes	complemented
65	#488×C₇₃	C₂²	1	2	yes	complemented
66	#488×C₇₃	C₂²	1	1	yes	characteristic, complemented
67	#488×C₇₃	C₂²	1	1	yes	characteristic, complemented
68	#486×C₇₃	C₂²	1	1	yes	characteristic
69	#486×C₇₃	C₂²	1	1	yes	characteristic
70	#486×C₇₃	C₂²	1	2	yes	complemented
71	#486×C₇₃	C₂²	1	2	yes	complemented
72	#486×C₇₃	C₂²	1	1	yes	characteristic, complemented
73	#486×C₇₃	C₂²	1	1	yes	characteristic, complemented
74	#486×C₇₃	C₂²	1	2	yes	complemented
75	#483×C₇₃	C₂²	1	2	yes	complemented
76	#482×C₇₃	C₂²	1	2	yes	complemented
77	#482×C₇₃	C₂²	1	2	yes	complemented
78	#481×C₇₃	C₂²	1	2	yes	complemented
79	#480×C₇₃	C₂²	1	2	yes	—
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	#477×C₇₃	C₂²	1	1	yes	characteristic, complemented
85	#476×C₇₃	C₂²	1	1	yes	characteristic, complemented
86	#476×C₇₃	C₂²	1	1	yes	characteristic, complemented
87	#476×C₇₃	C₂²	1	2	yes	complemented
88	#474×C₇₃	C₂²	1	2	yes	complemented
89	#469×C₇₃	C₂²	1	2	yes	complemented
90	#468×C₇₃	C₂²	1	2	yes	complemented
91	#467×C₇₃	C₂²	1	1	yes	characteristic, complemented
92	#466×C₇₃	C₂²	1	1	yes	characteristic
93	#466×C₇₃	C₂²	1	2	yes	complemented
94	#465×C₇₃	C₂²	1	1	yes	characteristic
95	#465×C₇₃	C₂²	1	2	yes	complemented
96	#465×C₇₃	C₂²	1	1	yes	characteristic, complemented
97	#464×C₇₃	C₂²	1	2	yes	complemented
98	#463×C₇₃	C₂²	1	2	yes	complemented
99	#460×C₇₃	C₂²	1	1	yes	characteristic
100	#460×C₇₃	C₂²	1	1	yes	characteristic, complemented
101	#460×C₇₃	C₂²	1	2	yes	complemented
102	#459×C₇₃	C₂²	1	1	yes	characteristic
103	#459×C₇₃	C₂²	1	1	yes	characteristic, complemented
104	#459×C₇₃	C₂²	1	2	yes	complemented
105	#452×C₇₃	C₂²	1	2	yes	complemented
106	#450×C₇₃	C₂²	1	2	yes	complemented
107	#450×C₇₃	C₂²	1	2	yes	complemented
108	#449×C₇₃	C₂²	1	2	yes	complemented
109	#447×C₇₃	C₂²	1	2	yes	complemented
110	#447×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	#442×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×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
117	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	complemented
118	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
119	C₄×D₈×C₇₃	C₂²	1	2	yes	complemented
120	C₄×D₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
121	#436×C₇₃	C₂²	1	1	yes	characteristic, complemented
122	#435×C₇₃	C₂²	1	2	yes	complemented
123	C₈×D₄×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	#432×C₇₃	C₂²	1	1	yes	characteristic, complemented
127	#418×C₇₃	C₂²	1	2	yes	complemented
128	#417×C₇₃	C₂²	1	2	yes	complemented
129	#416×C₇₃	C₂²	1	2	yes	complemented
130	C₂×#102×C₇₃	C₂²	1	2	yes	complemented
131	C₂×#102×C₇₃	C₂²	1	2	yes	complemented
132	C₂×#102×C₇₃	C₂²	1	2	yes	complemented
133	#405×C₇₃	C₂²	1	2	yes	complemented
134	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×#41×C₇₃	—	2	1	no	—
136	C₂×#41×C₇₃	—	2	2	no	—
137	C₂×#41×C₇₃	C₂³	1	2	yes	—
138	C₂²×Q₈×C₇₃	—	2	1	no	—
139	C₂²×D₄×C₇₃	—	2	2	no	—
140	C₂²×D₄×C₇₃	—	2	1	no	—
141	C₂²×D₄×C₇₃	—	2	1	no	—
142	C₂²×D₄×C₇₃	—	2	1	no	—
143	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
144	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
145	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
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×D₈×C₇₃	C₂³	1	2	yes	—
151	C₂×D₈×C₇₃	C₂³	1	1	yes	characteristic
152	C₂×D₈×C₇₃	C₂³	1	2	yes	—
153	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
154	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
155	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
156	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
157	C₄⋊Q₈×C₇₃	—	2	2	no	—
158	C₄⋊Q₈×C₇₃	—	2	2	no	—
159	C₄⋊Q₈×C₇₃	—	2	1	no	—
160	C₄⋊Q₈×C₇₃	—	2	1	no	—
161	C₄⋊Q₈×C₇₃	—	2	1	no	—
162	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
163	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
164	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
165	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
166	#127×C₇₃	—	2	1	no	—
167	#127×C₇₃	—	2	1	no	—
168	#127×C₇₃	—	2	1	no	—
169	#127×C₇₃	C₂³	1	1	yes	characteristic
170	#127×C₇₃	C₂³	1	1	yes	characteristic
171	#127×C₇₃	C₂³	1	2	yes	—
172	#127×C₇₃	C₂³	1	2	yes	—
173	#126×C₇₃	—	2	2	no	—
174	#126×C₇₃	—	2	2	no	—
175	#126×C₇₃	—	2	1	no	—
176	#126×C₇₃	—	2	1	no	—
177	#126×C₇₃	D₄	1	2	yes	—
178	#125×C₇₃	—	2	1	no	—
179	#125×C₇₃	—	2	2	no	—
180	#125×C₇₃	—	2	2	no	—
181	#125×C₇₃	D₄	1	1	yes	characteristic
182	#125×C₇₃	C₂³	1	2	yes	—
183	#125×C₇₃	C₂³	1	1	yes	characteristic
184	#125×C₇₃	C₂³	1	1	yes	characteristic
185	#124×C₇₃	—	2	1	no	—
186	#124×C₇₃	—	2	2	no	—
187	#124×C₇₃	—	2	2	no	—
188	#124×C₇₃	D₄	1	1	yes	characteristic
189	#124×C₇₃	C₂³	1	2	yes	—
190	#124×C₇₃	C₂³	1	1	yes	characteristic
191	#124×C₇₃	C₂³	1	1	yes	characteristic
192	#123×C₇₃	—	2	2	no	—
193	#123×C₇₃	—	2	1	no	—
194	#123×C₇₃	—	2	1	no	—
195	#123×C₇₃	—	2	2	no	—
196	#123×C₇₃	—	2	2	no	—
197	#123×C₇₃	—	2	2	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	2	no	—
205	C₂²⋊Q₈×C₇₃	—	2	2	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	—	2	2	no	—
210	C₂²⋊Q₈×C₇₃	D₄	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	1	yes	characteristic
214	#121×C₇₃	—	2	1	no	—
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	1	yes	characteristic
227	#121×C₇₃	C₂³	1	2	yes	—
228	#121×C₇₃	C₂³	1	1	yes	characteristic
229	#121×C₇₃	C₂³	1	2	yes	—
230	#121×C₇₃	C₂³	1	2	yes	—
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	#120×C₇₃	—	2	2	no	—
236	#120×C₇₃	—	2	2	no	—
237	C₄×Q₈×C₇₃	—	2	1	no	—
238	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
241	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₇₃	—	2	1	no	—
243	C₄×D₄×C₇₃	—	2	1	no	—
244	C₄×D₄×C₇₃	—	2	1	no	—
245	C₄×D₄×C₇₃	—	2	1	no	—
246	C₄×D₄×C₇₃	—	2	1	no	—
247	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₇₃	C₂³	1	2	yes	—
250	C₄×D₄×C₇₃	C₂³	1	2	yes	—
251	C₄×D₄×C₇₃	C₂³	1	2	yes	—
252	C₄×D₄×C₇₃	C₂³	1	2	yes	—
253	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
254	#117×C₇₃	—	2	1	no	—
255	#117×C₇₃	—	2	2	no	—
256	#117×C₇₃	—	2	1	no	—
257	#117×C₇₃	—	2	1	no	—
258	#117×C₇₃	C₂³	1	2	yes	—
259	#117×C₇₃	C₂³	1	2	yes	—
260	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
261	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
262	C₂×C₄⋊C₄×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	2	yes	—
268	#107×C₇₃	C₂³	1	1	yes	characteristic
269	#107×C₇₃	C₂³	1	2	yes	—
270	#106×C₇₃	C₂³	1	1	yes	characteristic
271	#106×C₇₃	C₂³	1	1	yes	characteristic
272	#106×C₇₃	C₂³	1	2	yes	—
273	#106×C₇₃	C₂³	1	2	yes	—
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	#102×C₇₃	C₂³	1	2	yes	—
285	#102×C₇₃	C₂³	1	1	yes	characteristic
286	#102×C₇₃	C₂³	1	2	yes	—
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	2	yes	—
295	#102×C₇₃	C₂³	1	2	yes	—
296	#102×C₇₃	C₂³	1	2	yes	—
297	#102×C₇₃	C₂³	1	1	yes	characteristic
298	#102×C₇₃	C₂³	1	2	yes	—
299	#102×C₇₃	C₂³	1	2	yes	—
300	#102×C₇₃	C₂³	1	1	yes	characteristic
301	#102×C₇₃	C₂³	1	1	yes	characteristic
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	2	yes	—
306	#97×C₇₃	C₂³	1	2	yes	—
307	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
308	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
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	4	no	—
317	#41×C₇₃	—	8	2	no	—
318	C₂×Q₈×C₇₃	—	2	1	no	—
319	C₂×Q₈×C₇₃	—	2	2	no	—
320	C₂×Q₈×C₇₃	—	2	2	no	—
321	C₂×Q₈×C₇₃	—	2	1	no	—
322	C₂×Q₈×C₇₃	—	8	2	no	—
323	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
324	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
325	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₇₃	—	2	1	no	—
327	C₂×D₄×C₇₃	—	2	1	no	—
328	C₂×D₄×C₇₃	—	2	2	no	—
329	C₂×D₄×C₇₃	—	2	2	no	—
330	C₂×D₄×C₇₃	—	2	2	no	—
331	C₂×D₄×C₇₃	—	2	2	no	—
332	C₂×D₄×C₇₃	—	2	1	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	1	no	—
337	C₂×D₄×C₇₃	—	2	2	no	—
338	C₂×D₄×C₇₃	—	2	2	no	—
339	C₂×D₄×C₇₃	—	2	2	no	—
340	C₂×D₄×C₇₃	—	2	2	no	—
341	C₂×D₄×C₇₃	—	2	1	no	—
342	C₂×D₄×C₇₃	—	4	2	no	—
343	C₂×D₄×C₇₃	—	4	2	no	—
344	C₂×D₄×C₇₃	—	4	2	no	—
345	C₂×D₄×C₇₃	—	4	2	no	—
346	C₂×D₄×C₇₃	—	8	2	no	—
347	C₂×D₄×C₇₃	—	8	2	no	—
348	C₂×D₄×C₇₃	—	8	2	no	—
349	C₂×D₄×C₇₃	—	8	4	no	—
350	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
351	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
352	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
353	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
354	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
355	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₇₃	—	2	2	no	—
357	C₂²×C₄×C₇₃	—	2	2	no	—
358	C₂²×C₄×C₇₃	—	2	1	no	—
359	C₂²×C₄×C₇₃	—	2	1	no	—
360	C₂²×C₄×C₇₃	—	2	2	no	—
361	C₂²×C₄×C₇₃	—	2	2	no	—
362	C₂²×C₄×C₇₃	—	2	2	no	—
363	C₂²×C₄×C₇₃	—	2	2	no	—
364	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
368	Q₁₆×C₇₃	—	4	1	no	—
369	SD₁₆×C₇₃	—	4	2	no	—
370	SD₁₆×C₇₃	—	4	1	no	—
371	SD₁₆×C₇₃	—	4	1	no	—
372	SD₁₆×C₇₃	—	4	2	no	—
373	D₈×C₇₃	—	4	2	no	—
374	D₈×C₇₃	—	4	1	no	—
375	D₈×C₇₃	—	4	2	no	—
376	M₁₆×C₇₃	—	4	2	no	—
377	C₂×C₈×C₇₃	—	4	2	no	—
378	C₂×C₈×C₇₃	—	4	1	no	—
379	C₂×C₈×C₇₃	—	4	1	no	—
380	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
383	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
385	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
386	C₄⋊C₄×C₇₃	—	2	1	no	—
387	C₄⋊C₄×C₇₃	—	2	1	no	—
388	C₄⋊C₄×C₇₃	—	2	2	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	1	no	—
393	C₄⋊C₄×C₇₃	—	2	1	no	—
394	C₄⋊C₄×C₇₃	—	2	2	no	—
395	C₄⋊C₄×C₇₃	—	2	2	no	—
396	C₄⋊C₄×C₇₃	—	2	1	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	1	no	—
402	C₄⋊C₄×C₇₃	—	2	1	no	—
403	C₄⋊C₄×C₇₃	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
409	C₄⋊C₄×C₇₃	C₂×D₄	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	2	yes	—
413	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
414	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
415	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
416	C₂²⋊C₄×C₇₃	—	2	1	no	—
417	C₂²⋊C₄×C₇₃	—	2	1	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	1	no	—
423	C₂²⋊C₄×C₇₃	—	2	1	no	—
424	C₂²⋊C₄×C₇₃	—	2	1	no	—
425	C₂²⋊C₄×C₇₃	—	2	2	no	—
426	C₂²⋊C₄×C₇₃	—	2	1	no	—
427	C₂²⋊C₄×C₇₃	—	2	1	no	—
428	C₂²⋊C₄×C₇₃	—	2	2	no	—
429	C₂²⋊C₄×C₇₃	—	2	2	no	—
430	C₂²⋊C₄×C₇₃	—	2	1	no	—
431	C₂²⋊C₄×C₇₃	—	2	1	no	—
432	C₂²⋊C₄×C₇₃	—	2	2	no	—
433	C₂²⋊C₄×C₇₃	—	2	2	no	—
434	C₂²⋊C₄×C₇₃	—	2	2	no	—
435	C₂²⋊C₄×C₇₃	—	2	1	no	—
436	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
437	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
438	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
439	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
440	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
441	C₄²×C₇₃	—	2	2	no	—
442	C₄²×C₇₃	—	2	1	no	—
443	C₄²×C₇₃	—	2	1	no	—
444	C₄²×C₇₃	—	2	2	no	—
445	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
448	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
449	C₄²×C₇₃	C₂⁴	1	2	yes	—
450	C₂³×C₇₃	—	2	1	no	—
451	C₂³×C₇₃	—	2	2	no	—
452	C₂³×C₇₃	—	2	1	no	—
453	C₂³×C₇₃	—	2	2	no	—
454	C₂³×C₇₃	—	4	4	no	—
455	C₂³×C₇₃	—	8	2	no	—
456	C₂³×C₇₃	—	8	2	no	—
457	C₂³×C₇₃	—	8	2	no	—
458	C₂³×C₇₃	—	8	2	no	—
459	C₂³×C₇₃	—	8	2	no	—
460	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
461	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
462	Q₈×C₇₃	—	2	2	no	—
463	Q₈×C₇₃	—	2	1	no	—
464	Q₈×C₇₃	—	2	1	no	—
465	Q₈×C₇₃	—	2	1	no	—
466	Q₈×C₇₃	—	2	1	no	—
467	Q₈×C₇₃	—	8	1	no	—
468	Q₈×C₇₃	—	8	2	no	—
469	Q₈×C₇₃	—	8	1	no	—
470	Q₈×C₇₃	—	8	2	no	—
471	D₄×C₇₃	—	2	4	no	—
472	D₄×C₇₃	—	2	2	no	—
473	D₄×C₇₃	—	2	1	no	—
474	D₄×C₇₃	—	2	1	no	—
475	D₄×C₇₃	—	2	1	no	—
476	D₄×C₇₃	—	2	2	no	—
477	D₄×C₇₃	—	2	2	no	—
478	D₄×C₇₃	—	2	2	no	—
479	D₄×C₇₃	—	2	1	no	—
480	D₄×C₇₃	—	2	2	no	—
481	D₄×C₇₃	—	4	2	no	—
482	D₄×C₇₃	—	4	2	no	—
483	D₄×C₇₃	—	4	2	no	—
484	D₄×C₇₃	—	4	2	no	—
485	D₄×C₇₃	—	8	2	no	—
486	D₄×C₇₃	—	8	2	no	—
487	D₄×C₇₃	—	8	1	no	—
488	D₄×C₇₃	—	8	2	no	—
489	D₄×C₇₃	—	8	1	no	—
490	D₄×C₇₃	—	8	2	no	—
491	D₄×C₇₃	—	8	2	no	—
492	D₄×C₇₃	—	8	2	no	—
493	D₄×C₇₃	—	8	2	no	—
494	D₄×C₇₃	—	8	2	no	—
495	D₄×C₇₃	—	8	2	no	—
496	D₄×C₇₃	—	8	2	no	—
497	C₂×C₄×C₇₃	—	2	2	no	—
498	C₂×C₄×C₇₃	—	2	2	no	—
499	C₂×C₄×C₇₃	—	2	1	no	—
500	C₂×C₄×C₇₃	—	2	1	no	—
501	C₂×C₄×C₇₃	—	2	2	no	—
502	C₂×C₄×C₇₃	—	2	2	no	—
503	C₂×C₄×C₇₃	—	2	1	no	—
504	C₂×C₄×C₇₃	—	2	1	no	—
505	C₂×C₄×C₇₃	—	2	2	no	—
506	C₂×C₄×C₇₃	—	2	1	no	—
507	C₂×C₄×C₇₃	—	2	1	no	—
508	C₂×C₄×C₇₃	—	2	1	no	—
509	C₂×C₄×C₇₃	—	2	1	no	—
510	C₂×C₄×C₇₃	—	2	2	no	—
511	C₂×C₄×C₇₃	—	4	4	no	—
512	C₂×C₄×C₇₃	—	4	2	no	—
513	C₂×C₄×C₇₃	—	4	2	no	—
514	C₂×C₄×C₇₃	—	8	2	no	—
515	C₂×C₄×C₇₃	—	8	2	no	—
516	C₂×C₄×C₇₃	—	8	2	no	—
517	C₂×C₄×C₇₃	—	8	2	no	—
518	C₂×C₄×C₇₃	—	8	2	no	—
519	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
520	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
521	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
522	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
523	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
525	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
528	C₈×C₇₃	—	2	1	no	—
529	C₈×C₇₃	—	2	1	no	—
530	C₈×C₇₃	—	2	2	no	—
531	C₈×C₇₃	—	2	1	no	—
532	C₈×C₇₃	—	2	1	no	—
533	C₈×C₇₃	—	2	2	no	—
534	C₂²×C₇₃	—	2	1	no	—
535	C₂²×C₇₃	—	2	1	no	—
536	C₂²×C₇₃	—	2	2	no	—
537	C₂²×C₇₃	—	2	2	no	—
538	C₂²×C₇₃	—	2	2	no	—
539	C₂²×C₇₃	—	4	2	no	—
540	C₂²×C₇₃	—	4	2	no	—
541	C₂²×C₇₃	—	4	1	no	—
542	C₂²×C₇₃	—	4	1	no	—
543	C₂²×C₇₃	—	4	1	no	—
544	C₂²×C₇₃	—	4	2	no	—
545	C₂²×C₇₃	—	4	1	no	—
546	C₂²×C₇₃	—	4	2	no	—
547	C₂²×C₇₃	—	4	1	no	—
548	C₂²×C₇₃	—	4	1	no	—
549	C₂²×C₇₃	—	4	2	no	—
550	C₂²×C₇₃	—	4	2	no	—
551	C₂²×C₇₃	—	16	4	no	—
552	C₂²×C₇₃	—	16	4	no	—
553	C₂²×C₇₃	#576	1	2	yes	—
554	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
555	C₄×C₇₃	—	2	2	no	—
556	C₄×C₇₃	—	2	1	no	—
557	C₄×C₇₃	—	2	1	no	—
558	C₄×C₇₃	—	2	1	no	—
559	C₄×C₇₃	—	2	2	no	—
560	C₄×C₇₃	—	2	1	no	—
561	C₄×C₇₃	—	2	2	no	—
562	C₄×C₇₃	—	4	1	no	—
563	C₄×C₇₃	—	4	1	no	—
564	C₄×C₇₃	—	4	2	no	—
565	C₄×C₇₃	—	4	2	no	—
566	C₄×C₇₃	—	4	1	no	—
567	C₄×C₇₃	—	4	1	no	—
568	C₄×C₇₃	—	4	1	no	—
569	C₄×C₇₃	—	4	1	no	—
570	C₄×C₇₃	#577	1	2	yes	—
571	C₄×C₇₃	#585	1	1	yes	characteristic
572	C₄×C₇₃	#585	1	1	yes	characteristic
573	#62552	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
574	C₂×C₇₃	—	2	2	no	—
575	C₂×C₇₃	—	4	2	no	—
576	C₂×C₇₃	—	8	1	no	—
577	C₂×C₇₃	—	8	2	no	—
578	C₂×C₇₃	—	8	2	no	—
579	C₂×C₇₃	—	8	1	no	—
580	C₂×C₇₃	#3500	1	1	yes	characteristic
581	C₂×C₇₃	C₂×#576	1	1	yes	characteristic
582	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
583	#3544	C₂×C₇₃	1	1	yes	characteristic, complemented
584	#3543	C₂×C₇₃	1	1	yes	characteristic, complemented
585	#3375	C₂×C₇₃	1	1	yes	characteristic, complemented
586	#3366	C₂×C₇₃	1	1	yes	characteristic, complemented
587	#3362	C₂×C₇₃	1	1	yes	characteristic, complemented
588	#3361	C₂×C₇₃	1	1	yes	characteristic, complemented
589	#3333	C₂×C₇₃	1	1	yes	characteristic, complemented
590	#3325	C₂×C₇₃	1	1	yes	characteristic, complemented
591	#3310	C₂×C₇₃	1	2	yes	complemented
592	#3306	C₂×C₇₃	1	2	yes	complemented
593	#3305	C₂×C₇₃	1	1	yes	characteristic, complemented
594	#3296	C₂×C₇₃	1	2	yes	complemented
595	#3295	C₂×C₇₃	1	1	yes	characteristic, complemented
596	#3294	C₂×C₇₃	1	2	yes	complemented
597	#3241	C₂×C₇₃	1	2	yes	complemented
598	#3238	C₂×C₇₃	1	1	yes	characteristic, complemented
599	#3224	C₂×C₇₃	1	2	yes	complemented
600	#3217	C₂×C₇₃	1	1	yes	characteristic, complemented
601	#3179	C₂×C₇₃	1	2	yes	complemented
602	#3168	C₂×C₇₃	1	1	yes	characteristic, complemented
603	#3136	C₂×C₇₃	1	2	yes	complemented
604	C₂×#486	C₂×C₇₃	1	1	yes	characteristic, complemented
605	#2966	C₂×C₇₃	1	1	yes	characteristic, complemented
606	C₇₃	#62552	1	1	yes	characteristic, direct product factor, Sylow
607	#563	—	2	2	no	—
608	#560	—	2	2	no	—
609	#559	C₂²×C₇₃	1	1	yes	characteristic
610	Q₈²	C₂²×C₇₃	1	1	yes	characteristic, complemented
611	#555	C₂²×C₇₃	1	1	yes	characteristic, complemented
612	#554	C₂²×C₇₃	1	1	yes	characteristic, complemented
613	#554	C₂²×C₇₃	1	1	yes	characteristic, complemented
614	#552	—	2	1	no	—
615	#552	C₂²×C₇₃	1	2	yes	complemented
616	#550	C₂²×C₇₃	1	1	yes	characteristic
617	#550	C₂²×C₇₃	1	1	yes	characteristic
618	#547	—	2	1	no	—
619	#547	C₂²×C₇₃	1	2	yes	complemented
620	#546	—	2	1	no	—
621	#546	C₂²×C₇₃	1	2	yes	—
622	D₄²	—	2	1	no	—
623	D₄²	C₂²×C₇₃	1	2	yes	—
624	D₄²	C₂²×C₇₃	1	1	yes	characteristic
625	#544	—	2	1	no	—
626	#544	C₂²×C₇₃	1	2	yes	complemented
627	#542	—	2	1	no	—
628	#542	C₂²×C₇₃	1	2	yes	complemented
629	#540	—	2	1	no	—
630	#540	C₂²×C₇₃	1	2	yes	—
631	#536	—	2	2	no	—
632	#535	—	2	1	no	—
633	#535	C₂²×C₇₃	1	2	yes	—
634	#534	—	2	2	no	—
635	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
636	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic
637	#529	C₂²×C₇₃	1	1	yes	characteristic
638	#529	C₂²×C₇₃	1	1	yes	characteristic
639	#529	C₂²×C₇₃	1	1	yes	characteristic, complemented
640	#501	C₂²×C₇₃	1	2	yes	complemented
641	#499	C₂²×C₇₃	1	1	yes	characteristic, complemented
642	#496	C₂²×C₇₃	1	2	yes	complemented
643	#495	C₂²×C₇₃	1	1	yes	characteristic, complemented
644	#490	C₂²×C₇₃	1	2	yes	complemented
645	#490	C₂²×C₇₃	1	2	yes	complemented
646	#489	C₂²×C₇₃	1	2	yes	complemented
647	#489	C₂²×C₇₃	1	2	yes	complemented
648	#488	C₂²×C₇₃	1	2	yes	complemented
649	#488	C₂²×C₇₃	1	1	yes	characteristic, complemented
650	#488	C₂²×C₇₃	1	1	yes	characteristic, complemented
651	#486	C₂²×C₇₃	1	1	yes	characteristic
652	#486	C₂²×C₇₃	1	1	yes	characteristic
653	#486	C₂²×C₇₃	1	1	yes	characteristic, complemented
654	#486	C₂²×C₇₃	1	1	yes	characteristic, complemented
655	#486	C₂²×C₇₃	1	2	yes	complemented
656	#486	C₂²×C₇₃	1	2	yes	complemented
657	#486	C₂²×C₇₃	1	2	yes	complemented
658	#483	C₂²×C₇₃	1	2	yes	complemented
659	#482	C₂²×C₇₃	1	2	yes	complemented
660	#482	C₂²×C₇₃	1	2	yes	complemented
661	#481	C₂²×C₇₃	1	2	yes	complemented
662	#480	C₂²×C₇₃	1	2	yes	—
663	#480	C₂²×C₇₃	1	2	yes	complemented
664	#478	C₂²×C₇₃	1	2	yes	complemented
665	#478	C₂²×C₇₃	1	2	yes	complemented
666	#477	C₂²×C₇₃	1	1	yes	characteristic, complemented
667	#477	C₂²×C₇₃	1	1	yes	characteristic, complemented
668	#476	C₂²×C₇₃	1	1	yes	characteristic, complemented
669	#476	C₂²×C₇₃	1	2	yes	complemented
670	#476	C₂²×C₇₃	1	1	yes	characteristic, complemented
671	#474	C₂²×C₇₃	1	2	yes	complemented
672	#469	C₂²×C₇₃	1	2	yes	complemented
673	#468	C₂²×C₇₃	1	2	yes	complemented
674	#467	C₂²×C₇₃	1	1	yes	characteristic, complemented
675	#466	C₂²×C₇₃	1	1	yes	characteristic
676	#466	C₂²×C₇₃	1	2	yes	complemented
677	#465	C₂²×C₇₃	1	1	yes	characteristic
678	#465	C₂²×C₇₃	1	1	yes	characteristic, complemented
679	#465	C₂²×C₇₃	1	2	yes	complemented
680	#464	C₂²×C₇₃	1	2	yes	complemented
681	#463	C₂²×C₇₃	1	2	yes	complemented
682	#460	C₂²×C₇₃	1	1	yes	characteristic
683	#460	C₂²×C₇₃	1	1	yes	characteristic, complemented
684	#460	C₂²×C₇₃	1	2	yes	complemented
685	#459	C₂²×C₇₃	1	1	yes	characteristic
686	#459	C₂²×C₇₃	1	1	yes	characteristic, complemented
687	#459	C₂²×C₇₃	1	2	yes	complemented
688	#452	C₂²×C₇₃	1	2	yes	complemented
689	#450	C₂²×C₇₃	1	2	yes	complemented
690	#450	C₂²×C₇₃	1	2	yes	complemented
691	#449	C₂²×C₇₃	1	2	yes	complemented
692	#447	C₂²×C₇₃	1	2	yes	complemented
693	#447	C₂²×C₇₃	1	2	yes	complemented
694	#446	C₂²×C₇₃	1	1	yes	characteristic, complemented
695	C₈×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
696	#442	C₂²×C₇₃	1	2	yes	complemented
697	#440	C₂²×C₇₃	1	2	yes	complemented
698	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic, complemented
699	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic, complemented
700	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic, complemented
701	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	complemented
702	C₄×D₈	C₂²×C₇₃	1	2	yes	complemented
703	C₄×D₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
704	#436	C₂²×C₇₃	1	1	yes	characteristic, complemented
705	#435	C₂²×C₇₃	1	2	yes	complemented
706	C₈×D₄	C₂²×C₇₃	1	2	yes	complemented
707	C₈×D₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
708	#433	C₂²×C₇₃	1	2	yes	complemented
709	#432	C₂²×C₇₃	1	1	yes	characteristic, complemented
710	#418	C₂²×C₇₃	1	2	yes	complemented
711	#417	C₂²×C₇₃	1	2	yes	complemented
712	#416	C₂²×C₇₃	1	2	yes	complemented
713	C₂×#102	C₂²×C₇₃	1	2	yes	complemented
714	C₂×#102	C₂²×C₇₃	1	2	yes	complemented
715	C₂×#102	C₂²×C₇₃	1	2	yes	complemented
716	#405	C₂²×C₇₃	1	2	yes	complemented
717	C₂×C₄×C₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
718	C₂×#41	—	2	1	no	—
719	C₂×#41	—	2	2	no	—
720	C₂×#41	C₂³×C₇₃	1	2	yes	—
721	C₂²×Q₈	—	2	1	no	—
722	C₂²×D₄	—	2	2	no	—
723	C₂²×D₄	—	2	1	no	—
724	C₂²×D₄	—	2	1	no	—
725	C₂²×D₄	—	2	1	no	—
726	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
727	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
728	C₂×Q₁₆	C₂³×C₇₃	1	1	yes	characteristic
729	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
730	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
731	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
732	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
733	C₂×D₈	C₂³×C₇₃	1	2	yes	—
734	C₂×D₈	C₂³×C₇₃	1	1	yes	characteristic
735	C₂×D₈	C₂³×C₇₃	1	2	yes	—
736	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
737	C₂²×C₈	C₂³×C₇₃	1	1	yes	characteristic
738	C₂²×C₈	C₂³×C₇₃	1	1	yes	characteristic
739	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
740	C₄⋊Q₈	—	2	2	no	—
741	C₄⋊Q₈	—	2	2	no	—
742	C₄⋊Q₈	—	2	1	no	—
743	C₄⋊Q₈	—	2	1	no	—
744	C₄⋊Q₈	—	2	1	no	—
745	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
746	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
747	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
748	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
749	#127	—	2	1	no	—
750	#127	—	2	1	no	—
751	#127	—	2	1	no	—
752	#127	C₂³×C₇₃	1	2	yes	—
753	#127	C₂³×C₇₃	1	1	yes	characteristic
754	#127	C₂³×C₇₃	1	1	yes	characteristic
755	#127	C₂³×C₇₃	1	2	yes	—
756	#126	—	2	2	no	—
757	#126	—	2	2	no	—
758	#126	—	2	1	no	—
759	#126	—	2	1	no	—
760	#126	D₄×C₇₃	1	2	yes	—
761	#125	—	2	1	no	—
762	#125	—	2	2	no	—
763	#125	—	2	2	no	—
764	#125	D₄×C₇₃	1	1	yes	characteristic
765	#125	C₂³×C₇₃	1	1	yes	characteristic
766	#125	C₂³×C₇₃	1	1	yes	characteristic
767	#125	C₂³×C₇₃	1	2	yes	—
768	#124	—	2	1	no	—
769	#124	—	2	2	no	—
770	#124	—	2	2	no	—
771	#124	D₄×C₇₃	1	1	yes	characteristic
772	#124	C₂³×C₇₃	1	1	yes	characteristic
773	#124	C₂³×C₇₃	1	1	yes	characteristic
774	#124	C₂³×C₇₃	1	2	yes	—
775	#123	—	2	2	no	—
776	#123	—	2	1	no	—
777	#123	—	2	1	no	—
778	#123	—	2	2	no	—
779	#123	—	2	2	no	—
780	#123	—	2	2	no	—
781	#123	—	2	2	no	—
782	#123	—	2	2	no	—
783	#123	—	2	2	no	—
784	#123	—	2	2	no	—
785	#123	D₄×C₇₃	1	2	yes	—
786	C₂²⋊Q₈	—	2	1	no	—
787	C₂²⋊Q₈	—	2	2	no	—
788	C₂²⋊Q₈	—	2	2	no	—
789	C₂²⋊Q₈	—	2	2	no	—
790	C₂²⋊Q₈	—	2	2	no	—
791	C₂²⋊Q₈	—	2	2	no	—
792	C₂²⋊Q₈	—	2	2	no	—
793	C₂²⋊Q₈	D₄×C₇₃	1	1	yes	characteristic
794	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
795	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
796	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
797	#121	—	2	1	no	—
798	#121	—	2	2	no	—
799	#121	—	2	2	no	—
800	#121	—	2	2	no	—
801	#121	—	2	1	no	—
802	#121	—	2	1	no	—
803	#121	—	2	2	no	—
804	#121	—	2	2	no	—
805	#121	—	2	2	no	—
806	#121	—	2	2	no	—
807	#121	—	2	2	no	—
808	#121	D₄×C₇₃	1	1	yes	characteristic
809	#121	C₂³×C₇₃	1	1	yes	characteristic
810	#121	C₂³×C₇₃	1	1	yes	characteristic
811	#121	C₂³×C₇₃	1	2	yes	—
812	#121	C₂³×C₇₃	1	2	yes	—
813	#121	C₂³×C₇₃	1	2	yes	—
814	#120	—	2	2	no	—
815	#120	—	2	2	no	—
816	#120	—	2	2	no	—
817	#120	—	2	2	no	—
818	#120	—	2	2	no	—
819	#120	—	2	2	no	—
820	C₄×Q₈	—	2	1	no	—
821	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
822	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
823	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
824	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	2	1	no	—
830	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
831	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
832	C₄×D₄	C₂³×C₇₃	1	2	yes	—
833	C₄×D₄	C₂³×C₇₃	1	2	yes	—
834	C₄×D₄	C₂³×C₇₃	1	2	yes	—
835	C₄×D₄	C₂³×C₇₃	1	2	yes	—
836	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
837	#117	—	2	1	no	—
838	#117	—	2	2	no	—
839	#117	—	2	1	no	—
840	#117	—	2	1	no	—
841	#117	C₂³×C₇₃	1	2	yes	—
842	#117	C₂³×C₇₃	1	2	yes	—
843	C₂×C₄⋊C₄	—	2	1	no	—
844	C₂×C₄⋊C₄	—	2	1	no	—
845	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
846	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
847	C₂×C₂²⋊C₄	—	2	2	no	—
848	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
849	#107	C₂³×C₇₃	1	1	yes	characteristic
850	#107	C₂³×C₇₃	1	2	yes	—
851	#107	C₂³×C₇₃	1	1	yes	characteristic
852	#107	C₂³×C₇₃	1	2	yes	—
853	#106	C₂³×C₇₃	1	1	yes	characteristic
854	#106	C₂³×C₇₃	1	1	yes	characteristic
855	#106	C₂³×C₇₃	1	2	yes	—
856	#106	C₂³×C₇₃	1	2	yes	—
857	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
858	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
859	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
860	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
861	#103	C₂³×C₇₃	1	1	yes	characteristic
862	#103	C₂³×C₇₃	1	2	yes	—
863	#103	C₂³×C₇₃	1	1	yes	characteristic
864	#103	C₂³×C₇₃	1	2	yes	—
865	#103	C₂³×C₇₃	1	1	yes	characteristic
866	#103	C₂³×C₇₃	1	1	yes	characteristic
867	#102	C₂³×C₇₃	1	2	yes	—
868	#102	C₂³×C₇₃	1	1	yes	characteristic
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	#102	C₂³×C₇₃	1	2	yes	—
876	#102	C₂³×C₇₃	1	2	yes	—
877	#102	C₂³×C₇₃	1	2	yes	—
878	#102	C₂³×C₇₃	1	2	yes	—
879	#102	C₂³×C₇₃	1	2	yes	—
880	#102	C₂³×C₇₃	1	1	yes	characteristic
881	#102	C₂³×C₇₃	1	2	yes	—
882	#102	C₂³×C₇₃	1	2	yes	—
883	#102	C₂³×C₇₃	1	1	yes	characteristic
884	#102	C₂³×C₇₃	1	1	yes	characteristic
885	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
886	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
887	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
888	#97	C₂³×C₇₃	1	2	yes	—
889	#97	C₂³×C₇₃	1	2	yes	—
890	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
891	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
892	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
893	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
894	C₄×C₈	C₂³×C₇₃	1	2	yes	—
895	C₂⁴	—	2	2	no	—
896	C₂⁴	—	2	2	no	—
897	#41	—	4	2	no	—
898	#41	—	4	2	no	—
899	#41	—	8	4	no	—
900	#41	—	8	2	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	2	no	—
903	C₂×Q₈	—	2	2	no	—
904	C₂×Q₈	—	2	1	no	—
905	C₂×Q₈	—	8	2	no	—
906	C₂×Q₈	C₂×D₄×C₇₃	1	1	yes	characteristic
907	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
908	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
909	C₂×D₄	—	2	1	no	—
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	1	no	—
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	1	no	—
925	C₂×D₄	—	4	2	no	—
926	C₂×D₄	—	4	2	no	—
927	C₂×D₄	—	4	2	no	—
928	C₂×D₄	—	4	2	no	—
929	C₂×D₄	—	8	2	no	—
930	C₂×D₄	—	8	2	no	—
931	C₂×D₄	—	8	2	no	—
932	C₂×D₄	—	8	4	no	—
933	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
934	C₂×D₄	C₂×D₄×C₇₃	1	2	yes	—
935	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
936	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
937	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
938	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	1	no	—
942	C₂²×C₄	—	2	1	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
948	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
949	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
950	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
951	Q₁₆	—	4	1	no	—
952	SD₁₆	—	4	2	no	—
953	SD₁₆	—	4	1	no	—
954	SD₁₆	—	4	1	no	—
955	SD₁₆	—	4	2	no	—
956	D₈	—	4	2	no	—
957	D₈	—	4	1	no	—
958	D₈	—	4	2	no	—
959	M₁₆	—	4	2	no	—
960	C₂×C₈	—	4	2	no	—
961	C₂×C₈	—	4	1	no	—
962	C₂×C₈	—	4	1	no	—
963	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
964	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
965	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
966	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
967	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
968	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
988	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
989	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
990	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
991	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
992	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
993	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
994	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
996	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
997	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
998	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	1	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	1	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	1	no	—
1019	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1020	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1021	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1022	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1023	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1024	C₄²	—	2	2	no	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	1	no	—
1027	C₄²	—	2	2	no	—
1028	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1029	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1030	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1031	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1032	C₄²	C₂⁴×C₇₃	1	2	yes	—
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	2	no	—
1035	C₂³	—	2	1	no	—
1036	C₂³	—	2	2	no	—
1037	C₂³	—	4	4	no	—
1038	C₂³	—	8	2	no	—
1039	C₂³	—	8	2	no	—
1040	C₂³	—	8	2	no	—
1041	C₂³	—	8	2	no	—
1042	C₂³	—	8	2	no	—
1043	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1044	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	2	1	no	—
1048	Q₈	—	2	1	no	—
1049	Q₈	—	2	1	no	—
1050	Q₈	—	8	1	no	—
1051	Q₈	—	8	2	no	—
1052	Q₈	—	8	1	no	—
1053	Q₈	—	8	2	no	—
1054	D₄	—	2	4	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	2	1	no	—
1057	D₄	—	2	1	no	—
1058	D₄	—	2	1	no	—
1059	D₄	—	2	2	no	—
1060	D₄	—	2	2	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	2	1	no	—
1063	D₄	—	2	2	no	—
1064	D₄	—	4	2	no	—
1065	D₄	—	4	2	no	—
1066	D₄	—	4	2	no	—
1067	D₄	—	4	2	no	—
1068	D₄	—	8	2	no	—
1069	D₄	—	8	2	no	—
1070	D₄	—	8	1	no	—
1071	D₄	—	8	2	no	—
1072	D₄	—	8	1	no	—
1073	D₄	—	8	2	no	—
1074	D₄	—	8	2	no	—
1075	D₄	—	8	2	no	—
1076	D₄	—	8	2	no	—
1077	D₄	—	8	2	no	—
1078	D₄	—	8	2	no	—
1079	D₄	—	8	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	4	4	no	—
1095	C₂×C₄	—	4	2	no	—
1096	C₂×C₄	—	4	2	no	—
1097	C₂×C₄	—	8	2	no	—
1098	C₂×C₄	—	8	2	no	—
1099	C₂×C₄	—	8	2	no	—
1100	C₂×C₄	—	8	2	no	—
1101	C₂×C₄	—	8	2	no	—
1102	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1103	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1104	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1105	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1106	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1107	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1108	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1109	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1110	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
1111	C₈	—	2	1	no	—
1112	C₈	—	2	1	no	—
1113	C₈	—	2	2	no	—
1114	C₈	—	2	1	no	—
1115	C₈	—	2	1	no	—
1116	C₈	—	2	2	no	—
1117	C₂²	—	2	1	no	—
1118	C₂²	—	2	1	no	—
1119	C₂²	—	2	2	no	—
1120	C₂²	—	2	2	no	—
1121	C₂²	—	2	2	no	—
1122	C₂²	—	4	2	no	—
1123	C₂²	—	4	2	no	—
1124	C₂²	—	4	1	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	4	1	no	—
1129	C₂²	—	4	2	no	—
1130	C₂²	—	4	1	no	—
1131	C₂²	—	4	1	no	—
1132	C₂²	—	4	2	no	—
1133	C₂²	—	4	2	no	—
1134	C₂²	—	16	4	no	—
1135	C₂²	—	16	4	no	—
1136	C₂²	#576×C₇₃	1	2	yes	—
1137	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1138	C₄	—	2	2	no	—
1139	C₄	—	2	1	no	—
1140	C₄	—	2	1	no	—
1141	C₄	—	2	1	no	—
1142	C₄	—	2	2	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	2	no	—
1145	C₄	—	4	1	no	—
1146	C₄	—	4	1	no	—
1147	C₄	—	4	2	no	—
1148	C₄	—	4	2	no	—
1149	C₄	—	4	1	no	—
1150	C₄	—	4	1	no	—
1151	C₄	—	4	1	no	—
1152	C₄	—	4	1	no	—
1153	C₄	#577×C₇₃	1	2	yes	—
1154	C₄	#585×C₇₃	1	1	yes	characteristic
1155	C₄	#585×C₇₃	1	1	yes	characteristic
1156	C₂	—	2	2	no	—
1157	C₂	—	4	2	no	—
1158	C₂	—	8	2	no	—
1159	C₂	—	8	1	no	—
1160	C₂	—	8	2	no	—
1161	C₂	—	8	1	no	—
1162	C₂	C₇₃×#3500	1	1	yes	characteristic
1163	C₂	C₂×#576×C₇₃	1	1	yes	characteristic
1164	C₂	C₂×#577×C₇₃	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇₃
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×#3544	C₂	semidirect
2. C₇₃×#3543	C₂	semidirect
3. C₇₃×#3375	C₂	semidirect
4. C₇₃×#3366	C₂	semidirect
5. C₇₃×#3362	C₂	semidirect
6. C₇₃×#3361	C₂	semidirect
7. C₇₃×#3333	C₂	semidirect
8. C₇₃×#3325	C₂	semidirect
9. C₇₃×#3310	C₂	semidirect
10. C₇₃×#3306	C₂	semidirect
11. C₇₃×#3305	C₂	semidirect
12. C₇₃×#3296	C₂	semidirect
13. C₇₃×#3295	C₂	semidirect
14. C₇₃×#3294	C₂	semidirect
15. C₇₃×#3241	C₂	semidirect
16. C₇₃×#3238	C₂	semidirect
17. C₇₃×#3224	C₂	semidirect
18. C₇₃×#3217	C₂	semidirect
19. C₇₃×#3179	C₂	semidirect
20. C₇₃×#3168	C₂	semidirect
21. C₇₃×#3136	C₂	semidirect
22. C₂×#486×C₇₃	C₂	semidirect
23. C₇₃×#2966	C₂	semidirect
27. Q₈²×C₇₃	C₂²	semidirect
28. #555×C₇₃	C₂²	semidirect
29. #554×C₇₃	C₂²	semidirect
30. #554×C₇₃	C₂²	semidirect
32. #552×C₇₃	C₂²	semidirect
36. #547×C₇₃	C₂²	semidirect
43. #544×C₇₃	C₂²	semidirect
45. #542×C₇₃	C₂²	semidirect
52. C₂×C₄⋊Q₈×C₇₃	C₂²	semidirect
56. #529×C₇₃	C₂²	semidirect
57. #501×C₇₃	C₂²	semidirect
58. #499×C₇₃	C₂²	semidirect
59. #496×C₇₃	C₂²	semidirect
60. #495×C₇₃	C₂²	semidirect
61. #490×C₇₃	C₂²	semidirect
62. #490×C₇₃	C₂²	semidirect
63. #489×C₇₃	C₂²	semidirect
64. #489×C₇₃	C₂²	semidirect
65. #488×C₇₃	C₂²	semidirect
66. #488×C₇₃	C₂²	semidirect
67. #488×C₇₃	C₂²	semidirect
70. #486×C₇₃	C₂²	semidirect
71. #486×C₇₃	C₂²	semidirect
72. #486×C₇₃	C₂²	semidirect
73. #486×C₇₃	C₂²	semidirect
74. #486×C₇₃	C₂²	semidirect
75. #483×C₇₃	C₂²	semidirect
76. #482×C₇₃	C₂²	semidirect
77. #482×C₇₃	C₂²	semidirect
78. #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. #477×C₇₃	C₂²	semidirect
85. #476×C₇₃	C₂²	semidirect
86. #476×C₇₃	C₂²	semidirect
87. #476×C₇₃	C₂²	semidirect
88. #474×C₇₃	C₂²	semidirect
89. #469×C₇₃	C₂²	semidirect
90. #468×C₇₃	C₂²	semidirect
91. #467×C₇₃	C₂²	semidirect
93. #466×C₇₃	C₂²	semidirect
95. #465×C₇₃	C₂²	semidirect
96. #465×C₇₃	C₂²	semidirect
97. #464×C₇₃	C₂²	semidirect
98. #463×C₇₃	C₂²	semidirect
100. #460×C₇₃	C₂²	semidirect
101. #460×C₇₃	C₂²	semidirect
103. #459×C₇₃	C₂²	semidirect
104. #459×C₇₃	C₂²	semidirect
105. #452×C₇₃	C₂²	semidirect
106. #450×C₇₃	C₂²	semidirect
107. #450×C₇₃	C₂²	semidirect
108. #449×C₇₃	C₂²	semidirect
109. #447×C₇₃	C₂²	semidirect
110. #447×C₇₃	C₂²	semidirect
111. #446×C₇₃	C₂²	semidirect
112. C₈×Q₈×C₇₃	C₂²	semidirect
113. #442×C₇₃	C₂²	semidirect
114. #440×C₇₃	C₂²	semidirect
115. C₄×Q₁₆×C₇₃	C₂²	semidirect
116. C₄×SD₁₆×C₇₃	C₂²	semidirect
117. C₄×SD₁₆×C₇₃	C₂²	semidirect
118. C₄×SD₁₆×C₇₃	C₂²	semidirect
119. C₄×D₈×C₇₃	C₂²	semidirect
120. C₄×D₈×C₇₃	C₂²	semidirect
121. #436×C₇₃	C₂²	semidirect
122. #435×C₇₃	C₂²	semidirect
123. C₈×D₄×C₇₃	C₂²	semidirect
124. C₈×D₄×C₇₃	C₂²	semidirect
125. #433×C₇₃	C₂²	semidirect
126. #432×C₇₃	C₂²	semidirect
127. #418×C₇₃	C₂²	semidirect
128. #417×C₇₃	C₂²	semidirect
129. #416×C₇₃	C₂²	semidirect
130. C₂×#102×C₇₃	C₂²	semidirect
131. C₂×#102×C₇₃	C₂²	semidirect
132. C₂×#102×C₇₃	C₂²	semidirect
133. #405×C₇₃	C₂²	semidirect
134. C₂×C₄×C₈×C₇₃	C₂²	semidirect
573. #62552	C₇₃	direct (N × H)
583. #3544	C₂×C₇₃	semidirect
584. #3543	C₂×C₇₃	semidirect
585. #3375	C₂×C₇₃	semidirect
586. #3366	C₂×C₇₃	semidirect
587. #3362	C₂×C₇₃	semidirect
588. #3361	C₂×C₇₃	semidirect
589. #3333	C₂×C₇₃	semidirect
590. #3325	C₂×C₇₃	semidirect
591. #3310	C₂×C₇₃	semidirect
592. #3306	C₂×C₇₃	semidirect
593. #3305	C₂×C₇₃	semidirect
594. #3296	C₂×C₇₃	semidirect
595. #3295	C₂×C₇₃	semidirect
596. #3294	C₂×C₇₃	semidirect
597. #3241	C₂×C₇₃	semidirect
598. #3238	C₂×C₇₃	semidirect
599. #3224	C₂×C₇₃	semidirect
600. #3217	C₂×C₇₃	semidirect
601. #3179	C₂×C₇₃	semidirect
602. #3168	C₂×C₇₃	semidirect
603. #3136	C₂×C₇₃	semidirect
604. C₂×#486	C₂×C₇₃	semidirect
605. #2966	C₂×C₇₃	semidirect
606. C₇₃	#62552	direct (N × H)
610. Q₈²	C₂²×C₇₃	semidirect
611. #555	C₂²×C₇₃	semidirect
612. #554	C₂²×C₇₃	semidirect
613. #554	C₂²×C₇₃	semidirect
615. #552	C₂²×C₇₃	semidirect
619. #547	C₂²×C₇₃	semidirect
626. #544	C₂²×C₇₃	semidirect
628. #542	C₂²×C₇₃	semidirect
635. C₂×C₄⋊Q₈	C₂²×C₇₃	semidirect
639. #529	C₂²×C₇₃	semidirect
640. #501	C₂²×C₇₃	semidirect
641. #499	C₂²×C₇₃	semidirect
642. #496	C₂²×C₇₃	semidirect
643. #495	C₂²×C₇₃	semidirect
644. #490	C₂²×C₇₃	semidirect
645. #490	C₂²×C₇₃	semidirect
646. #489	C₂²×C₇₃	semidirect
647. #489	C₂²×C₇₃	semidirect
648. #488	C₂²×C₇₃	semidirect
649. #488	C₂²×C₇₃	semidirect
650. #488	C₂²×C₇₃	semidirect
653. #486	C₂²×C₇₃	semidirect
654. #486	C₂²×C₇₃	semidirect
655. #486	C₂²×C₇₃	semidirect
656. #486	C₂²×C₇₃	semidirect
657. #486	C₂²×C₇₃	semidirect
658. #483	C₂²×C₇₃	semidirect
659. #482	C₂²×C₇₃	semidirect
660. #482	C₂²×C₇₃	semidirect
661. #481	C₂²×C₇₃	semidirect
663. #480	C₂²×C₇₃	semidirect
664. #478	C₂²×C₇₃	semidirect
665. #478	C₂²×C₇₃	semidirect
666. #477	C₂²×C₇₃	semidirect
667. #477	C₂²×C₇₃	semidirect
668. #476	C₂²×C₇₃	semidirect
669. #476	C₂²×C₇₃	semidirect
670. #476	C₂²×C₇₃	semidirect
671. #474	C₂²×C₇₃	semidirect
672. #469	C₂²×C₇₃	semidirect
673. #468	C₂²×C₇₃	semidirect
674. #467	C₂²×C₇₃	semidirect
676. #466	C₂²×C₇₃	semidirect
678. #465	C₂²×C₇₃	semidirect
679. #465	C₂²×C₇₃	semidirect
680. #464	C₂²×C₇₃	semidirect
681. #463	C₂²×C₇₃	semidirect
683. #460	C₂²×C₇₃	semidirect
684. #460	C₂²×C₇₃	semidirect
686. #459	C₂²×C₇₃	semidirect
687. #459	C₂²×C₇₃	semidirect
688. #452	C₂²×C₇₃	semidirect
689. #450	C₂²×C₇₃	semidirect
690. #450	C₂²×C₇₃	semidirect
691. #449	C₂²×C₇₃	semidirect
692. #447	C₂²×C₇₃	semidirect
693. #447	C₂²×C₇₃	semidirect
694. #446	C₂²×C₇₃	semidirect
695. C₈×Q₈	C₂²×C₇₃	semidirect
696. #442	C₂²×C₇₃	semidirect
697. #440	C₂²×C₇₃	semidirect
698. C₄×Q₁₆	C₂²×C₇₃	semidirect
699. C₄×SD₁₆	C₂²×C₇₃	semidirect
700. C₄×SD₁₆	C₂²×C₇₃	semidirect
701. C₄×SD₁₆	C₂²×C₇₃	semidirect
702. C₄×D₈	C₂²×C₇₃	semidirect
703. C₄×D₈	C₂²×C₇₃	semidirect
704. #436	C₂²×C₇₃	semidirect
705. #435	C₂²×C₇₃	semidirect
706. C₈×D₄	C₂²×C₇₃	semidirect
707. C₈×D₄	C₂²×C₇₃	semidirect
708. #433	C₂²×C₇₃	semidirect
709. #432	C₂²×C₇₃	semidirect
710. #418	C₂²×C₇₃	semidirect
711. #417	C₂²×C₇₃	semidirect
712. #416	C₂²×C₇₃	semidirect
713. C₂×#102	C₂²×C₇₃	semidirect
714. C₂×#102	C₂²×C₇₃	semidirect
715. C₂×#102	C₂²×C₇₃	semidirect
716. #405	C₂²×C₇₃	semidirect
717. C₂×C₄×C₈	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×#3544	2
C₇₃×#3543	2
C₇₃×#3375	2
C₇₃×#3366	2
C₇₃×#3362	2
C₇₃×#3361	2
C₇₃×#3333	2
C₇₃×#3325	2
C₇₃×#3310	2
C₇₃×#3306	2
C₇₃×#3305	2
C₇₃×#3296	2
C₇₃×#3295	2
C₇₃×#3294	2
C₇₃×#3241	2
C₇₃×#3238	2
C₇₃×#3224	2
C₇₃×#3217	2
C₇₃×#3179	2
C₇₃×#3168	2
C₇₃×#3136	2
C₂×#486×C₇₃	2
C₇₃×#2966	2
#62552	73

Subgroups — C73×#62552 #32971956

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#62552 #32971956