Subgroups — C₇₃×#61440 #32970844

Order 18688.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1122 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3480	C₂	1	1	yes	maximal, characteristic
2	Q₈×#41×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#3387	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#3356	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#3346	C₂	1	2	yes	maximal, complemented
9	C₇₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₃×#3328	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#3320	C₂	1	2	yes	maximal, complemented
12	C₇₃×#3316	C₂	1	2	yes	maximal, complemented
13	C₇₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#3270	C₂	1	2	yes	maximal, complemented
15	C₇₃×#3172	C₂	1	2	yes	maximal, complemented
16	C₇₃×#3167	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#3108	C₂	1	2	yes	maximal, complemented
18	C₇₃×#3107	C₂	1	2	yes	maximal, complemented
19	C₇₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇₃×#2965	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#137×C₇₃	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×Q₁₆×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#137×C₇₃	C₂²	1	2	yes	—
25	C₂²×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
26	#559×C₇₃	—	2	1	no	—
27	#559×C₇₃	C₂²	1	1	yes	characteristic
28	Q₈²×C₇₃	C₂²	1	1	yes	characteristic
29	#557×C₇₃	—	2	1	no	—
30	#557×C₇₃	C₂²	1	1	yes	characteristic
31	#557×C₇₃	C₂²	1	1	yes	characteristic
32	#556×C₇₃	—	2	1	no	—
33	#556×C₇₃	C₂²	1	1	yes	characteristic
34	#554×C₇₃	—	2	2	no	—
35	#554×C₇₃	—	2	1	no	—
36	#554×C₇₃	C₂²	1	2	yes	—
37	#554×C₇₃	C₂²	1	1	yes	characteristic
38	#553×C₇₃	—	2	2	no	—
39	#553×C₇₃	C₂²	1	2	yes	—
40	#550×C₇₃	C₂²	1	1	yes	characteristic
41	D₄×Q₈×C₇₃	C₂²	1	2	yes	—
42	D₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
43	#548×C₇₃	C₂²	1	2	yes	—
44	#533×C₇₃	—	2	1	no	—
45	#533×C₇₃	—	2	2	no	—
46	#533×C₇₃	C₂²	1	1	yes	characteristic
47	#533×C₇₃	C₂²	1	2	yes	—
48	#532×C₇₃	—	2	1	no	—
49	#532×C₇₃	C₂²	1	1	yes	characteristic
50	#529×C₇₃	—	2	2	no	—
51	#529×C₇₃	C₂²	1	2	yes	—
52	C₄×#41×C₇₃	—	2	1	no	—
53	C₄×#41×C₇₃	—	2	1	no	—
54	C₄×#41×C₇₃	C₂²	1	2	yes	—
55	C₄×#41×C₇₃	C₂²	1	1	yes	characteristic
56	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
57	C₂×C₄×Q₈×C₇₃	C₂²	1	2	yes	—
58	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
59	#501×C₇₃	C₂²	1	2	yes	—
60	#498×C₇₃	C₂²	1	1	yes	characteristic
61	#497×C₇₃	C₂²	1	2	yes	—
62	#492×C₇₃	C₂²	1	1	yes	characteristic
63	#491×C₇₃	C₂²	1	2	yes	—
64	#489×C₇₃	C₂²	1	2	yes	—
65	#487×C₇₃	C₂²	1	1	yes	characteristic
66	#486×C₇₃	C₂²	1	1	yes	characteristic
67	#485×C₇₃	C₂²	1	2	yes	—
68	#485×C₇₃	C₂²	1	2	yes	—
69	#484×C₇₃	C₂²	1	2	yes	—
70	#483×C₇₃	C₂²	1	2	yes	—
71	#481×C₇₃	C₂²	1	2	yes	—
72	#480×C₇₃	C₂²	1	2	yes	—
73	#479×C₇₃	C₂²	1	2	yes	—
74	#479×C₇₃	C₂²	1	2	yes	—
75	#477×C₇₃	C₂²	1	1	yes	characteristic
76	#477×C₇₃	C₂²	1	1	yes	characteristic
77	#475×C₇₃	C₂²	1	2	yes	—
78	#475×C₇₃	C₂²	1	1	yes	characteristic
79	#475×C₇₃	C₂²	1	1	yes	characteristic
80	#474×C₇₃	C₂²	1	2	yes	—
81	#470×C₇₃	C₂²	1	2	yes	—
82	#470×C₇₃	C₂²	1	2	yes	—
83	#468×C₇₃	C₂²	1	2	yes	—
84	#468×C₇₃	C₂²	1	2	yes	—
85	#465×C₇₃	C₂²	1	2	yes	—
86	#465×C₇₃	C₂²	1	2	yes	—
87	#464×C₇₃	C₂²	1	2	yes	—
88	#464×C₇₃	C₂²	1	2	yes	—
89	#462×C₇₃	C₂²	1	2	yes	—
90	#462×C₇₃	C₂²	1	1	yes	characteristic
91	#462×C₇₃	C₂²	1	1	yes	characteristic
92	#461×C₇₃	C₂²	1	2	yes	—
93	#460×C₇₃	C₂²	1	1	yes	characteristic
94	#460×C₇₃	C₂²	1	1	yes	characteristic
95	#452×C₇₃	C₂²	1	2	yes	—
96	#452×C₇₃	C₂²	1	2	yes	—
97	#451×C₇₃	C₂²	1	2	yes	—
98	#451×C₇₃	C₂²	1	2	yes	—
99	#448×C₇₃	C₂²	1	2	yes	—
100	#448×C₇₃	C₂²	1	2	yes	—
101	#446×C₇₃	C₂²	1	1	yes	characteristic
102	#446×C₇₃	C₂²	1	1	yes	characteristic
103	#441×C₇₃	C₂²	1	2	yes	—
104	#441×C₇₃	C₂²	1	2	yes	—
105	#440×C₇₃	C₂²	1	2	yes	—
106	#440×C₇₃	C₂²	1	2	yes	—
107	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
108	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
109	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
110	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
111	C₄×Q₁₆×C₇₃	C₂²	1	2	yes	—
112	C₄×Q₁₆×C₇₃	C₂²	1	2	yes	—
113	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
114	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
115	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
116	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
117	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	—
118	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	—
119	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	—
120	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	—
121	#436×C₇₃	C₂²	1	1	yes	characteristic
122	#436×C₇₃	C₂²	1	1	yes	characteristic
123	#435×C₇₃	C₂²	1	2	yes	—
124	#435×C₇₃	C₂²	1	2	yes	—
125	#431×C₇₃	C₂²	1	1	yes	characteristic
126	#431×C₇₃	C₂²	1	2	yes	—
127	#428×C₇₃	C₂²	1	2	yes	—
128	C₂×#107×C₇₃	C₂²	1	1	yes	characteristic
129	#419×C₇₃	C₂²	1	2	yes	—
130	#417×C₇₃	C₂²	1	2	yes	—
131	C₂×#103×C₇₃	C₂²	1	1	yes	characteristic
132	C₂×#103×C₇₃	C₂²	1	1	yes	characteristic
133	C₄×M₁₆×C₇₃	C₂²	1	2	yes	—
134	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
135	C₂×#41×C₇₃	—	2	1	no	—
136	C₂×#41×C₇₃	D₄	1	1	yes	characteristic
137	C₂×#41×C₇₃	C₂³	1	2	yes	—
138	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
140	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
141	#137×C₇₃	—	2	8	no	—
142	C₂×Q₁₆×C₇₃	—	2	4	no	—
143	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
144	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
145	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
146	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
147	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
148	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
149	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
151	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
152	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
153	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
154	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
155	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
156	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
157	C₄⋊Q₈×C₇₃	—	2	1	no	—
158	C₄⋊Q₈×C₇₃	—	2	1	no	—
159	C₄⋊Q₈×C₇₃	—	2	2	no	—
160	C₄⋊Q₈×C₇₃	—	2	1	no	—
161	C₄⋊Q₈×C₇₃	—	2	2	no	—
162	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
163	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
164	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
165	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
166	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
167	#127×C₇₃	—	2	1	no	—
168	#127×C₇₃	C₂³	1	1	yes	characteristic
169	#126×C₇₃	—	2	2	no	—
170	#126×C₇₃	—	2	2	no	—
171	#126×C₇₃	—	2	2	no	—
172	#125×C₇₃	—	2	2	no	—
173	#125×C₇₃	—	2	1	no	—
174	#125×C₇₃	—	2	2	no	—
175	#125×C₇₃	—	2	1	no	—
176	#125×C₇₃	—	2	2	no	—
177	#125×C₇₃	—	2	2	no	—
178	#125×C₇₃	—	2	1	no	—
179	#125×C₇₃	C₂³	1	2	yes	—
180	#124×C₇₃	—	2	1	no	—
181	#124×C₇₃	—	2	1	no	—
182	#124×C₇₃	—	2	2	no	—
183	#124×C₇₃	—	2	1	no	—
184	#124×C₇₃	C₂³	1	2	yes	—
185	#123×C₇₃	—	2	2	no	—
186	#123×C₇₃	—	2	2	no	—
187	#123×C₇₃	—	2	2	no	—
188	C₂²⋊Q₈×C₇₃	—	2	1	no	—
189	C₂²⋊Q₈×C₇₃	—	2	2	no	—
190	C₂²⋊Q₈×C₇₃	—	2	2	no	—
191	C₂²⋊Q₈×C₇₃	—	2	2	no	—
192	C₂²⋊Q₈×C₇₃	—	2	2	no	—
193	C₂²⋊Q₈×C₇₃	—	2	2	no	—
194	C₂²⋊Q₈×C₇₃	—	2	2	no	—
195	C₂²⋊Q₈×C₇₃	—	2	2	no	—
196	C₂²⋊Q₈×C₇₃	—	2	2	no	—
197	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
198	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
199	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
200	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
201	#121×C₇₃	—	2	2	no	—
202	#121×C₇₃	—	2	2	no	—
203	#121×C₇₃	—	2	1	no	—
204	#121×C₇₃	—	2	2	no	—
205	#121×C₇₃	C₂³	1	2	yes	—
206	#121×C₇₃	C₂³	1	2	yes	—
207	C₄×Q₈×C₇₃	—	2	1	no	—
208	C₄×Q₈×C₇₃	—	2	1	no	—
209	C₄×Q₈×C₇₃	—	2	1	no	—
210	C₄×Q₈×C₇₃	—	2	1	no	—
211	C₄×Q₈×C₇₃	—	2	1	no	—
212	C₄×Q₈×C₇₃	—	2	2	no	—
213	C₄×Q₈×C₇₃	—	2	1	no	—
214	C₄×Q₈×C₇₃	—	2	2	no	—
215	C₄×Q₈×C₇₃	—	2	1	no	—
216	C₄×Q₈×C₇₃	—	2	1	no	—
217	C₄×Q₈×C₇₃	—	2	2	no	—
218	C₄×Q₈×C₇₃	—	2	1	no	—
219	C₄×Q₈×C₇₃	D₄	1	1	yes	characteristic
220	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
223	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
230	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
232	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₇₃	—	2	2	no	—
234	C₄×D₄×C₇₃	—	2	1	no	—
235	C₄×D₄×C₇₃	—	2	2	no	—
236	C₄×D₄×C₇₃	—	2	1	no	—
237	C₄×D₄×C₇₃	—	2	2	no	—
238	C₄×D₄×C₇₃	—	2	2	no	—
239	C₄×D₄×C₇₃	—	2	2	no	—
240	C₄×D₄×C₇₃	—	2	1	no	—
241	C₄×D₄×C₇₃	—	2	1	no	—
242	C₄×D₄×C₇₃	—	2	2	no	—
243	C₄×D₄×C₇₃	—	2	2	no	—
244	C₄×D₄×C₇₃	—	2	1	no	—
245	C₄×D₄×C₇₃	D₄	1	2	yes	—
246	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
247	C₄×D₄×C₇₃	C₂³	1	2	yes	—
248	C₄×D₄×C₇₃	C₂³	1	2	yes	—
249	C₄×D₄×C₇₃	C₂³	1	2	yes	—
250	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
251	#117×C₇₃	—	2	2	no	—
252	#117×C₇₃	—	2	1	no	—
253	#117×C₇₃	—	2	2	no	—
254	#117×C₇₃	—	2	2	no	—
255	#117×C₇₃	D₄	1	1	yes	characteristic
256	#117×C₇₃	D₄	1	2	yes	—
257	#117×C₇₃	C₂³	1	2	yes	—
258	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
259	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
260	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
261	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
264	C₂×C₄²×C₇₃	—	2	1	no	—
265	C₂×C₄²×C₇₃	—	2	2	no	—
266	C₂×C₄²×C₇₃	—	2	1	no	—
267	C₂×C₄²×C₇₃	—	2	2	no	—
268	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
269	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
270	#107×C₇₃	C₂³	1	1	yes	characteristic
271	#107×C₇₃	C₂³	1	1	yes	characteristic
272	#107×C₇₃	C₂³	1	1	yes	characteristic
273	#107×C₇₃	C₂³	1	1	yes	characteristic
274	#107×C₇₃	C₂³	1	2	yes	—
275	#107×C₇₃	C₂³	1	2	yes	—
276	#106×C₇₃	C₂³	1	2	yes	—
277	#106×C₇₃	C₂³	1	2	yes	—
278	#106×C₇₃	C₂³	1	2	yes	—
279	#106×C₇₃	C₂³	1	2	yes	—
280	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
281	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
282	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
283	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
284	#103×C₇₃	C₂³	1	1	yes	characteristic
285	#103×C₇₃	C₂³	1	1	yes	characteristic
286	#103×C₇₃	C₂³	1	1	yes	characteristic
287	#103×C₇₃	C₂³	1	1	yes	characteristic
288	#103×C₇₃	C₂³	1	1	yes	characteristic
289	#103×C₇₃	C₂³	1	1	yes	characteristic
290	#103×C₇₃	C₂³	1	1	yes	characteristic
291	#103×C₇₃	C₂³	1	1	yes	characteristic
292	#103×C₇₃	C₂³	1	2	yes	—
293	#103×C₇₃	C₂³	1	2	yes	—
294	#103×C₇₃	C₂³	1	2	yes	—
295	#103×C₇₃	C₂³	1	2	yes	—
296	#103×C₇₃	C₂³	1	2	yes	—
297	#103×C₇₃	C₂³	1	2	yes	—
298	#103×C₇₃	C₂³	1	2	yes	—
299	#103×C₇₃	C₂³	1	2	yes	—
300	#102×C₇₃	C₂³	1	2	yes	—
301	#102×C₇₃	C₂³	1	2	yes	—
302	#102×C₇₃	C₂³	1	2	yes	—
303	#102×C₇₃	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
305	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
307	#97×C₇₃	C₂³	1	2	yes	—
308	#97×C₇₃	C₂³	1	2	yes	—
309	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₇₃	C₂³	1	2	yes	—
314	#41×C₇₃	—	2	4	no	—
315	#41×C₇₃	—	2	4	no	—
316	#41×C₇₃	—	4	2	no	—
317	#41×C₇₃	—	4	4	no	—
318	C₂×Q₈×C₇₃	—	2	1	no	—
319	C₂×Q₈×C₇₃	—	2	2	no	—
320	C₂×Q₈×C₇₃	—	2	1	no	—
321	C₂×Q₈×C₇₃	—	2	1	no	—
322	C₂×Q₈×C₇₃	—	2	2	no	—
323	C₂×Q₈×C₇₃	—	2	1	no	—
324	C₂×Q₈×C₇₃	—	2	2	no	—
325	C₂×Q₈×C₇₃	—	2	2	no	—
326	C₂×Q₈×C₇₃	—	2	4	no	—
327	C₂×Q₈×C₇₃	—	4	1	no	—
328	C₂×Q₈×C₇₃	—	4	1	no	—
329	C₂×Q₈×C₇₃	—	4	2	no	—
330	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
331	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₇₃	—	2	2	no	—
337	C₂×D₄×C₇₃	—	2	2	no	—
338	C₂×D₄×C₇₃	—	2	2	no	—
339	C₂×D₄×C₇₃	—	2	1	no	—
340	C₂×D₄×C₇₃	—	2	1	no	—
341	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
342	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
343	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₇₃	—	2	1	no	—
345	C₂²×C₄×C₇₃	—	2	2	no	—
346	C₂²×C₄×C₇₃	—	2	1	no	—
347	C₂²×C₄×C₇₃	—	2	1	no	—
348	C₂²×C₄×C₇₃	—	2	2	no	—
349	C₂²×C₄×C₇₃	—	2	1	no	—
350	C₂²×C₄×C₇₃	—	2	2	no	—
351	C₂²×C₄×C₇₃	—	2	2	no	—
352	C₂²×C₄×C₇₃	—	2	2	no	—
353	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
354	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
356	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
359	Q₁₆×C₇₃	—	2	2	no	—
360	Q₁₆×C₇₃	—	2	2	no	—
361	Q₁₆×C₇₃	—	2	4	no	—
362	Q₁₆×C₇₃	—	2	2	no	—
363	Q₁₆×C₇₃	—	4	2	no	—
364	Q₁₆×C₇₃	#41	1	4	yes	complemented
365	SD₁₆×C₇₃	—	2	4	no	—
366	SD₁₆×C₇₃	—	2	4	no	—
367	SD₁₆×C₇₃	—	4	2	no	—
368	SD₁₆×C₇₃	—	4	2	no	—
369	M₁₆×C₇₃	—	2	4	no	—
370	M₁₆×C₇₃	—	4	2	no	—
371	C₂×C₈×C₇₃	—	2	2	no	—
372	C₂×C₈×C₇₃	—	4	1	no	—
373	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
377	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
378	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
379	C₄⋊C₄×C₇₃	—	2	1	no	—
380	C₄⋊C₄×C₇₃	—	2	1	no	—
381	C₄⋊C₄×C₇₃	—	2	1	no	—
382	C₄⋊C₄×C₇₃	—	2	2	no	—
383	C₄⋊C₄×C₇₃	—	2	1	no	—
384	C₄⋊C₄×C₇₃	—	2	1	no	—
385	C₄⋊C₄×C₇₃	—	2	2	no	—
386	C₄⋊C₄×C₇₃	—	2	2	no	—
387	C₄⋊C₄×C₇₃	—	2	1	no	—
388	C₄⋊C₄×C₇₃	—	2	1	no	—
389	C₄⋊C₄×C₇₃	—	2	1	no	—
390	C₄⋊C₄×C₇₃	—	2	2	no	—
391	C₄⋊C₄×C₇₃	—	2	1	no	—
392	C₄⋊C₄×C₇₃	—	2	1	no	—
393	C₄⋊C₄×C₇₃	—	2	2	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	2	no	—
398	C₄⋊C₄×C₇₃	—	2	1	no	—
399	C₄⋊C₄×C₇₃	—	2	2	no	—
400	C₄⋊C₄×C₇₃	—	2	1	no	—
401	C₄⋊C₄×C₇₃	—	2	2	no	—
402	C₄⋊C₄×C₇₃	—	2	2	no	—
403	C₄⋊C₄×C₇₃	—	2	1	no	—
404	C₄⋊C₄×C₇₃	—	2	2	no	—
405	C₄⋊C₄×C₇₃	—	2	2	no	—
406	C₄⋊C₄×C₇₃	—	2	2	no	—
407	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
408	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
409	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
410	C₄⋊C₄×C₇₃	C₂×D₄	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	2	yes	—
415	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
416	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
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	2	no	—
424	C₂²⋊C₄×C₇₃	—	2	2	no	—
425	C₂²⋊C₄×C₇₃	—	2	2	no	—
426	C₂²⋊C₄×C₇₃	—	2	2	no	—
427	C₂²⋊C₄×C₇₃	—	2	2	no	—
428	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
429	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
430	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
431	C₄²×C₇₃	—	2	2	no	—
432	C₄²×C₇₃	—	2	2	no	—
433	C₄²×C₇₃	—	2	1	no	—
434	C₄²×C₇₃	—	2	2	no	—
435	C₄²×C₇₃	—	2	1	no	—
436	C₄²×C₇₃	—	2	1	no	—
437	C₄²×C₇₃	—	2	2	no	—
438	C₄²×C₇₃	—	2	1	no	—
439	C₄²×C₇₃	—	2	1	no	—
440	C₄²×C₇₃	—	2	1	no	—
441	C₄²×C₇₃	—	2	1	no	—
442	C₄²×C₇₃	—	2	2	no	—
443	C₄²×C₇₃	—	2	1	no	—
444	C₄²×C₇₃	C₂×D₄	1	2	yes	—
445	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₇₃	C₂×D₄	1	2	yes	—
447	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
448	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
449	C₄²×C₇₃	C₂⁴	1	2	yes	—
450	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
451	C₂³×C₇₃	—	2	2	no	—
452	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
453	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
454	Q₈×C₇₃	—	2	2	no	—
455	Q₈×C₇₃	—	2	1	no	—
456	Q₈×C₇₃	—	2	1	no	—
457	Q₈×C₇₃	—	2	2	no	—
458	Q₈×C₇₃	—	2	1	no	—
459	Q₈×C₇₃	—	2	1	no	—
460	Q₈×C₇₃	—	2	1	no	—
461	Q₈×C₇₃	—	2	2	no	—
462	Q₈×C₇₃	—	2	1	no	—
463	Q₈×C₇₃	—	4	4	no	—
464	Q₈×C₇₃	—	4	2	no	—
465	Q₈×C₇₃	—	4	2	no	—
466	Q₈×C₇₃	—	4	2	no	—
467	Q₈×C₇₃	—	8	2	no	—
468	Q₈×C₇₃	—	8	1	no	—
469	Q₈×C₇₃	C₂×#41	1	2	yes	—
470	Q₈×C₇₃	C₂×#41	1	2	yes	—
471	D₄×C₇₃	—	2	4	no	—
472	D₄×C₇₃	—	2	2	no	—
473	D₄×C₇₃	—	2	2	no	—
474	D₄×C₇₃	—	2	2	no	—
475	D₄×C₇₃	—	4	4	no	—
476	D₄×C₇₃	—	4	4	no	—
477	D₄×C₇₃	—	4	2	no	—
478	D₄×C₇₃	—	8	1	no	—
479	D₄×C₇₃	—	8	2	no	—
480	C₂×C₄×C₇₃	—	2	1	no	—
481	C₂×C₄×C₇₃	—	2	1	no	—
482	C₂×C₄×C₇₃	—	2	4	no	—
483	C₂×C₄×C₇₃	—	2	1	no	—
484	C₂×C₄×C₇₃	—	2	2	no	—
485	C₂×C₄×C₇₃	—	2	1	no	—
486	C₂×C₄×C₇₃	—	2	2	no	—
487	C₂×C₄×C₇₃	—	2	1	no	—
488	C₂×C₄×C₇₃	—	2	1	no	—
489	C₂×C₄×C₇₃	—	2	1	no	—
490	C₂×C₄×C₇₃	—	2	2	no	—
491	C₂×C₄×C₇₃	—	2	2	no	—
492	C₂×C₄×C₇₃	—	2	1	no	—
493	C₂×C₄×C₇₃	—	2	1	no	—
494	C₂×C₄×C₇₃	—	2	2	no	—
495	C₂×C₄×C₇₃	—	2	1	no	—
496	C₂×C₄×C₇₃	—	4	2	no	—
497	C₂×C₄×C₇₃	—	4	1	no	—
498	C₂×C₄×C₇₃	—	4	4	no	—
499	C₂×C₄×C₇₃	—	4	2	no	—
500	C₂×C₄×C₇₃	—	4	2	no	—
501	C₂×C₄×C₇₃	—	4	4	no	—
502	C₂×C₄×C₇₃	—	4	4	no	—
503	C₂×C₄×C₇₃	—	8	2	no	—
504	C₂×C₄×C₇₃	—	8	1	no	—
505	C₂×C₄×C₇₃	—	8	1	no	—
506	C₂×C₄×C₇₃	—	8	2	no	—
507	C₂×C₄×C₇₃	#137	1	4	yes	complemented
508	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
509	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
510	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
511	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
516	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
517	C₈×C₇₃	—	2	1	no	—
518	C₈×C₇₃	—	2	2	no	—
519	C₈×C₇₃	—	2	1	no	—
520	C₈×C₇₃	—	2	1	no	—
521	C₈×C₇₃	—	2	2	no	—
522	C₈×C₇₃	C₂×#41	1	2	yes	—
523	C₂²×C₇₃	—	2	1	no	—
524	C₂²×C₇₃	—	2	1	no	—
525	C₂²×C₇₃	—	2	2	no	—
526	C₂²×C₇₃	—	2	2	no	—
527	C₂²×C₇₃	—	2	2	no	—
528	C₂²×C₇₃	—	4	2	no	—
529	C₂²×C₇₃	—	4	2	no	—
530	C₂²×C₇₃	—	4	2	no	—
531	C₂²×C₇₃	C₂×#137	1	2	yes	—
532	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
533	C₄×C₇₃	—	2	1	no	—
534	C₄×C₇₃	—	2	2	no	—
535	C₄×C₇₃	—	2	1	no	—
536	C₄×C₇₃	—	2	2	no	—
537	C₄×C₇₃	—	2	1	no	—
538	C₄×C₇₃	—	2	2	no	—
539	C₄×C₇₃	—	2	2	no	—
540	C₄×C₇₃	—	2	2	no	—
541	C₄×C₇₃	—	4	1	no	—
542	C₄×C₇₃	—	4	1	no	—
543	C₄×C₇₃	—	4	1	no	—
544	C₄×C₇₃	—	4	1	no	—
545	C₄×C₇₃	—	4	2	no	—
546	C₄×C₇₃	—	4	1	no	—
547	C₄×C₇₃	—	4	2	no	—
548	C₄×C₇₃	—	4	1	no	—
549	C₄×C₇₃	—	4	2	no	—
550	C₄×C₇₃	C₂×#137	1	2	yes	—
551	C₄×C₇₃	C₂×#137	1	2	yes	—
552	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
553	C₄×C₇₃	#585	1	1	yes	characteristic
554	#61440	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
555	C₂×C₇₃	—	2	2	no	—
556	C₂×C₇₃	—	4	2	no	—
557	C₂×C₇₃	—	8	2	no	—
558	C₂×C₇₃	D₄×#41	1	1	yes	characteristic
559	C₂×C₇₃	C₂²×#137	1	1	yes	characteristic
560	C₂×C₇₃	#3584	1	1	yes	characteristic
561	#3480	C₂×C₇₃	1	1	yes	characteristic
562	Q₈×#41	C₂×C₇₃	1	1	yes	characteristic, complemented
563	#3400	C₂×C₇₃	1	1	yes	characteristic, complemented
564	#3387	C₂×C₇₃	1	1	yes	characteristic, complemented
565	#3375	C₂×C₇₃	1	1	yes	characteristic, complemented
566	#3374	C₂×C₇₃	1	1	yes	characteristic, complemented
567	#3356	C₂×C₇₃	1	1	yes	characteristic, complemented
568	#3346	C₂×C₇₃	1	2	yes	complemented
569	#3333	C₂×C₇₃	1	1	yes	characteristic, complemented
570	#3328	C₂×C₇₃	1	1	yes	characteristic, complemented
571	#3320	C₂×C₇₃	1	2	yes	complemented
572	#3316	C₂×C₇₃	1	2	yes	complemented
573	#3278	C₂×C₇₃	1	1	yes	characteristic, complemented
574	#3270	C₂×C₇₃	1	2	yes	complemented
575	#3172	C₂×C₇₃	1	2	yes	complemented
576	#3167	C₂×C₇₃	1	1	yes	characteristic, complemented
577	#3108	C₂×C₇₃	1	2	yes	complemented
578	#3107	C₂×C₇₃	1	2	yes	complemented
579	#3104	C₂×C₇₃	1	1	yes	characteristic, complemented
580	#3103	C₂×C₇₃	1	1	yes	characteristic, complemented
581	#2965	C₂×C₇₃	1	1	yes	characteristic, complemented
582	C₄×#137	C₂×C₇₃	1	2	yes	complemented
583	C₂×C₄×Q₁₆	C₂×C₇₃	1	1	yes	characteristic, complemented
584	C₇₃	#61440	1	1	yes	characteristic, direct product factor, Sylow
585	C₂×#137	C₂²×C₇₃	1	2	yes	—
586	C₂²×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
587	#559	—	2	1	no	—
588	#559	C₂²×C₇₃	1	1	yes	characteristic
589	Q₈²	C₂²×C₇₃	1	1	yes	characteristic
590	#557	—	2	1	no	—
591	#557	C₂²×C₇₃	1	1	yes	characteristic
592	#557	C₂²×C₇₃	1	1	yes	characteristic
593	#556	—	2	1	no	—
594	#556	C₂²×C₇₃	1	1	yes	characteristic
595	#554	—	2	2	no	—
596	#554	—	2	1	no	—
597	#554	C₂²×C₇₃	1	1	yes	characteristic
598	#554	C₂²×C₇₃	1	2	yes	—
599	#553	—	2	2	no	—
600	#553	C₂²×C₇₃	1	2	yes	—
601	#550	C₂²×C₇₃	1	1	yes	characteristic
602	D₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
603	D₄×Q₈	C₂²×C₇₃	1	2	yes	—
604	#548	C₂²×C₇₃	1	2	yes	—
605	#533	—	2	1	no	—
606	#533	—	2	2	no	—
607	#533	C₂²×C₇₃	1	1	yes	characteristic
608	#533	C₂²×C₇₃	1	2	yes	—
609	#532	—	2	1	no	—
610	#532	C₂²×C₇₃	1	1	yes	characteristic
611	#529	—	2	2	no	—
612	#529	C₂²×C₇₃	1	2	yes	—
613	C₄×#41	—	2	1	no	—
614	C₄×#41	—	2	1	no	—
615	C₄×#41	C₂²×C₇₃	1	2	yes	—
616	C₄×#41	C₂²×C₇₃	1	1	yes	characteristic
617	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
618	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
619	C₂×C₄×Q₈	C₂²×C₇₃	1	2	yes	—
620	#501	C₂²×C₇₃	1	2	yes	—
621	#498	C₂²×C₇₃	1	1	yes	characteristic
622	#497	C₂²×C₇₃	1	2	yes	—
623	#492	C₂²×C₇₃	1	1	yes	characteristic
624	#491	C₂²×C₇₃	1	2	yes	—
625	#489	C₂²×C₇₃	1	2	yes	—
626	#487	C₂²×C₇₃	1	1	yes	characteristic
627	#486	C₂²×C₇₃	1	1	yes	characteristic
628	#485	C₂²×C₇₃	1	2	yes	—
629	#485	C₂²×C₇₃	1	2	yes	—
630	#484	C₂²×C₇₃	1	2	yes	—
631	#483	C₂²×C₇₃	1	2	yes	—
632	#481	C₂²×C₇₃	1	2	yes	—
633	#480	C₂²×C₇₃	1	2	yes	—
634	#479	C₂²×C₇₃	1	2	yes	—
635	#479	C₂²×C₇₃	1	2	yes	—
636	#477	C₂²×C₇₃	1	1	yes	characteristic
637	#477	C₂²×C₇₃	1	1	yes	characteristic
638	#475	C₂²×C₇₃	1	1	yes	characteristic
639	#475	C₂²×C₇₃	1	1	yes	characteristic
640	#475	C₂²×C₇₃	1	2	yes	—
641	#474	C₂²×C₇₃	1	2	yes	—
642	#470	C₂²×C₇₃	1	2	yes	—
643	#470	C₂²×C₇₃	1	2	yes	—
644	#468	C₂²×C₇₃	1	2	yes	—
645	#468	C₂²×C₇₃	1	2	yes	—
646	#465	C₂²×C₇₃	1	2	yes	—
647	#465	C₂²×C₇₃	1	2	yes	—
648	#464	C₂²×C₇₃	1	2	yes	—
649	#464	C₂²×C₇₃	1	2	yes	—
650	#462	C₂²×C₇₃	1	1	yes	characteristic
651	#462	C₂²×C₇₃	1	1	yes	characteristic
652	#462	C₂²×C₇₃	1	2	yes	—
653	#461	C₂²×C₇₃	1	2	yes	—
654	#460	C₂²×C₇₃	1	1	yes	characteristic
655	#460	C₂²×C₇₃	1	1	yes	characteristic
656	#452	C₂²×C₇₃	1	2	yes	—
657	#452	C₂²×C₇₃	1	2	yes	—
658	#451	C₂²×C₇₃	1	2	yes	—
659	#451	C₂²×C₇₃	1	2	yes	—
660	#448	C₂²×C₇₃	1	2	yes	—
661	#448	C₂²×C₇₃	1	2	yes	—
662	#446	C₂²×C₇₃	1	1	yes	characteristic
663	#446	C₂²×C₇₃	1	1	yes	characteristic
664	#441	C₂²×C₇₃	1	2	yes	—
665	#441	C₂²×C₇₃	1	2	yes	—
666	#440	C₂²×C₇₃	1	2	yes	—
667	#440	C₂²×C₇₃	1	2	yes	—
668	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
669	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
670	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
671	C₄×Q₁₆	C₂²×C₇₃	1	2	yes	—
672	C₄×Q₁₆	C₂²×C₇₃	1	2	yes	—
673	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
674	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
675	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
676	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
677	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
678	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	—
679	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	—
680	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	—
681	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	—
682	#436	C₂²×C₇₃	1	1	yes	characteristic
683	#436	C₂²×C₇₃	1	1	yes	characteristic
684	#435	C₂²×C₇₃	1	2	yes	—
685	#435	C₂²×C₇₃	1	2	yes	—
686	#431	C₂²×C₇₃	1	1	yes	characteristic
687	#431	C₂²×C₇₃	1	2	yes	—
688	#428	C₂²×C₇₃	1	2	yes	—
689	C₂×#107	C₂²×C₇₃	1	1	yes	characteristic
690	#419	C₂²×C₇₃	1	2	yes	—
691	#417	C₂²×C₇₃	1	2	yes	—
692	C₂×#103	C₂²×C₇₃	1	1	yes	characteristic
693	C₂×#103	C₂²×C₇₃	1	1	yes	characteristic
694	C₄×M₁₆	C₂²×C₇₃	1	2	yes	—
695	C₂×C₄×C₈	C₂²×C₇₃	1	1	yes	characteristic
696	C₂×#41	—	2	1	no	—
697	C₂×#41	D₄×C₇₃	1	1	yes	characteristic
698	C₂×#41	C₂³×C₇₃	1	2	yes	—
699	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
700	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
701	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
702	#137	—	2	8	no	—
703	C₂×Q₁₆	—	2	4	no	—
704	C₂×Q₁₆	C₂³×C₇₃	1	1	yes	characteristic
705	C₂×Q₁₆	C₂³×C₇₃	1	1	yes	characteristic
706	C₂×Q₁₆	C₂³×C₇₃	1	1	yes	characteristic
707	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
708	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
709	C₂×Q₁₆	C₂³×C₇₃	1	1	yes	characteristic
710	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
711	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
712	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
713	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
714	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
715	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
716	C₂²×C₈	C₂³×C₇₃	1	1	yes	characteristic
717	C₂²×C₈	C₂³×C₇₃	1	1	yes	characteristic
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	—	2	1	no	—
720	C₄⋊Q₈	—	2	2	no	—
721	C₄⋊Q₈	—	2	1	no	—
722	C₄⋊Q₈	—	2	2	no	—
723	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
724	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
725	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
726	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
727	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
728	#127	—	2	1	no	—
729	#127	C₂³×C₇₃	1	1	yes	characteristic
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	—	2	1	no	—
735	#125	—	2	2	no	—
736	#125	—	2	1	no	—
737	#125	—	2	2	no	—
738	#125	—	2	2	no	—
739	#125	—	2	1	no	—
740	#125	C₂³×C₇₃	1	2	yes	—
741	#124	—	2	1	no	—
742	#124	—	2	1	no	—
743	#124	—	2	2	no	—
744	#124	—	2	1	no	—
745	#124	C₂³×C₇₃	1	2	yes	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
759	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
760	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
761	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
762	#121	—	2	2	no	—
763	#121	—	2	2	no	—
764	#121	—	2	1	no	—
765	#121	—	2	2	no	—
766	#121	C₂³×C₇₃	1	2	yes	—
767	#121	C₂³×C₇₃	1	2	yes	—
768	C₄×Q₈	—	2	1	no	—
769	C₄×Q₈	—	2	1	no	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	—	2	2	no	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	2	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	2	no	—
779	C₄×Q₈	—	2	1	no	—
780	C₄×Q₈	D₄×C₇₃	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
782	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
783	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
784	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
785	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
786	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
787	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
788	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
789	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
790	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
791	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
792	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
793	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	2	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	2	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	2	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	D₄×C₇₃	1	2	yes	—
807	C₄×D₄	D₄×C₇₃	1	1	yes	characteristic
808	C₄×D₄	C₂³×C₇₃	1	2	yes	—
809	C₄×D₄	C₂³×C₇₃	1	2	yes	—
810	C₄×D₄	C₂³×C₇₃	1	2	yes	—
811	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
812	#117	—	2	2	no	—
813	#117	—	2	1	no	—
814	#117	—	2	2	no	—
815	#117	—	2	2	no	—
816	#117	D₄×C₇₃	1	1	yes	characteristic
817	#117	D₄×C₇₃	1	2	yes	—
818	#117	C₂³×C₇₃	1	2	yes	—
819	C₂×C₄⋊C₄	—	2	1	no	—
820	C₂×C₄⋊C₄	—	2	1	no	—
821	C₂×C₄⋊C₄	—	2	2	no	—
822	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
824	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
825	C₂×C₄²	—	2	1	no	—
826	C₂×C₄²	—	2	2	no	—
827	C₂×C₄²	—	2	1	no	—
828	C₂×C₄²	—	2	2	no	—
829	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
830	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
831	#107	C₂³×C₇₃	1	1	yes	characteristic
832	#107	C₂³×C₇₃	1	1	yes	characteristic
833	#107	C₂³×C₇₃	1	1	yes	characteristic
834	#107	C₂³×C₇₃	1	1	yes	characteristic
835	#107	C₂³×C₇₃	1	2	yes	—
836	#107	C₂³×C₇₃	1	2	yes	—
837	#106	C₂³×C₇₃	1	2	yes	—
838	#106	C₂³×C₇₃	1	2	yes	—
839	#106	C₂³×C₇₃	1	2	yes	—
840	#106	C₂³×C₇₃	1	2	yes	—
841	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
842	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
843	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
844	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
845	#103	C₂³×C₇₃	1	1	yes	characteristic
846	#103	C₂³×C₇₃	1	1	yes	characteristic
847	#103	C₂³×C₇₃	1	1	yes	characteristic
848	#103	C₂³×C₇₃	1	1	yes	characteristic
849	#103	C₂³×C₇₃	1	1	yes	characteristic
850	#103	C₂³×C₇₃	1	1	yes	characteristic
851	#103	C₂³×C₇₃	1	1	yes	characteristic
852	#103	C₂³×C₇₃	1	1	yes	characteristic
853	#103	C₂³×C₇₃	1	2	yes	—
854	#103	C₂³×C₇₃	1	2	yes	—
855	#103	C₂³×C₇₃	1	2	yes	—
856	#103	C₂³×C₇₃	1	2	yes	—
857	#103	C₂³×C₇₃	1	2	yes	—
858	#103	C₂³×C₇₃	1	2	yes	—
859	#103	C₂³×C₇₃	1	2	yes	—
860	#103	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	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
866	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
867	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
868	#97	C₂³×C₇₃	1	2	yes	—
869	#97	C₂³×C₇₃	1	2	yes	—
870	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
871	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
872	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
873	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
874	C₄×C₈	C₂³×C₇₃	1	2	yes	—
875	#41	—	2	4	no	—
876	#41	—	2	4	no	—
877	#41	—	4	2	no	—
878	#41	—	4	4	no	—
879	C₂×Q₈	—	2	1	no	—
880	C₂×Q₈	—	2	2	no	—
881	C₂×Q₈	—	2	1	no	—
882	C₂×Q₈	—	2	1	no	—
883	C₂×Q₈	—	2	2	no	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	2	2	no	—
886	C₂×Q₈	—	2	2	no	—
887	C₂×Q₈	—	2	4	no	—
888	C₂×Q₈	—	4	1	no	—
889	C₂×Q₈	—	4	1	no	—
890	C₂×Q₈	—	4	2	no	—
891	C₂×Q₈	C₂×D₄×C₇₃	1	1	yes	characteristic
892	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
893	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
894	C₂×Q₈	C₂⁴×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×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	1	no	—
902	C₂×D₄	C₂×D₄×C₇₃	1	2	yes	—
903	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
904	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
915	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
916	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
917	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
918	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
919	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
920	Q₁₆	—	2	2	no	—
921	Q₁₆	—	2	2	no	—
922	Q₁₆	—	2	4	no	—
923	Q₁₆	—	2	2	no	—
924	Q₁₆	—	4	2	no	—
925	Q₁₆	#41×C₇₃	1	4	yes	complemented
926	SD₁₆	—	2	4	no	—
927	SD₁₆	—	2	4	no	—
928	SD₁₆	—	4	2	no	—
929	SD₁₆	—	4	2	no	—
930	M₁₆	—	2	4	no	—
931	M₁₆	—	4	2	no	—
932	C₂×C₈	—	2	2	no	—
933	C₂×C₈	—	4	1	no	—
934	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
935	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
936	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
938	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
939	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
970	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
971	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
973	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
974	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
976	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
990	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
991	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	2	no	—
996	C₄²	—	2	1	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	2	2	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	1	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	C₂×D₄×C₇₃	1	2	yes	—
1006	C₄²	C₂×D₄×C₇₃	1	2	yes	—
1007	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1008	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1009	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1010	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1011	C₄²	C₂⁴×C₇₃	1	2	yes	—
1012	C₂³	—	2	2	no	—
1013	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1014	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
1015	Q₈	—	2	2	no	—
1016	Q₈	—	2	1	no	—
1017	Q₈	—	2	1	no	—
1018	Q₈	—	2	2	no	—
1019	Q₈	—	2	1	no	—
1020	Q₈	—	2	1	no	—
1021	Q₈	—	2	1	no	—
1022	Q₈	—	2	2	no	—
1023	Q₈	—	2	1	no	—
1024	Q₈	—	4	4	no	—
1025	Q₈	—	4	2	no	—
1026	Q₈	—	4	2	no	—
1027	Q₈	—	4	2	no	—
1028	Q₈	—	8	2	no	—
1029	Q₈	—	8	1	no	—
1030	Q₈	C₂×#41×C₇₃	1	2	yes	—
1031	Q₈	C₂×#41×C₇₃	1	2	yes	—
1032	D₄	—	2	4	no	—
1033	D₄	—	2	2	no	—
1034	D₄	—	2	2	no	—
1035	D₄	—	2	2	no	—
1036	D₄	—	4	4	no	—
1037	D₄	—	4	4	no	—
1038	D₄	—	4	2	no	—
1039	D₄	—	8	1	no	—
1040	D₄	—	8	2	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	4	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	4	2	no	—
1058	C₂×C₄	—	4	1	no	—
1059	C₂×C₄	—	4	4	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	4	4	no	—
1063	C₂×C₄	—	4	4	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	—	8	1	no	—
1066	C₂×C₄	—	8	1	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	#137×C₇₃	1	4	yes	complemented
1069	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1070	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1071	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1072	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1073	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1075	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1076	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1077	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
1078	C₈	—	2	1	no	—
1079	C₈	—	2	2	no	—
1080	C₈	—	2	1	no	—
1081	C₈	—	2	1	no	—
1082	C₈	—	2	2	no	—
1083	C₈	C₂×#41×C₇₃	1	2	yes	—
1084	C₂²	—	2	1	no	—
1085	C₂²	—	2	1	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	2	2	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	4	2	no	—
1091	C₂²	—	4	2	no	—
1092	C₂²	C₂×#137×C₇₃	1	2	yes	—
1093	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1094	C₄	—	2	2	no	—
1095	C₄	—	2	1	no	—
1096	C₄	—	2	2	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	2	2	no	—
1099	C₄	—	2	1	no	—
1100	C₄	—	2	2	no	—
1101	C₄	—	2	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	2	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	1	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	2	no	—
1111	C₄	C₂×#137×C₇₃	1	2	yes	—
1112	C₄	C₂×#137×C₇₃	1	2	yes	—
1113	C₄	C₂²×#41×C₇₃	1	1	yes	characteristic
1114	C₄	#585×C₇₃	1	1	yes	characteristic
1115	C₂	—	2	2	no	—
1116	C₂	—	4	2	no	—
1117	C₂	—	8	2	no	—
1118	C₂	D₄×#41×C₇₃	1	1	yes	characteristic
1119	C₂	C₂²×#137×C₇₃	1	1	yes	characteristic
1120	C₂	C₇₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₇₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇₃
socle	C₂²×C₇₃	C₂³×D₄
prime radical	C₇₃×#3480	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇₃ ◁ C₄×#41×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. Q₈×#41×C₇₃	C₂	semidirect
3. C₇₃×#3400	C₂	semidirect
4. C₇₃×#3387	C₂	semidirect
5. C₇₃×#3375	C₂	semidirect
6. C₇₃×#3374	C₂	semidirect
7. C₇₃×#3356	C₂	semidirect
8. C₇₃×#3346	C₂	semidirect
9. C₇₃×#3333	C₂	semidirect
10. C₇₃×#3328	C₂	semidirect
11. C₇₃×#3320	C₂	semidirect
12. C₇₃×#3316	C₂	semidirect
13. C₇₃×#3278	C₂	semidirect
14. C₇₃×#3270	C₂	semidirect
15. C₇₃×#3172	C₂	semidirect
16. C₇₃×#3167	C₂	semidirect
17. C₇₃×#3108	C₂	semidirect
18. C₇₃×#3107	C₂	semidirect
19. C₇₃×#3104	C₂	semidirect
20. C₇₃×#3103	C₂	semidirect
21. C₇₃×#2965	C₂	semidirect
22. C₄×#137×C₇₃	C₂	semidirect
23. C₂×C₄×Q₁₆×C₇₃	C₂	semidirect
364. Q₁₆×C₇₃	#41	semidirect
507. C₂×C₄×C₇₃	#137	semidirect
554. #61440	C₇₃	direct (N × H)
562. Q₈×#41	C₂×C₇₃	semidirect
563. #3400	C₂×C₇₃	semidirect
564. #3387	C₂×C₇₃	semidirect
565. #3375	C₂×C₇₃	semidirect
566. #3374	C₂×C₇₃	semidirect
567. #3356	C₂×C₇₃	semidirect
568. #3346	C₂×C₇₃	semidirect
569. #3333	C₂×C₇₃	semidirect
570. #3328	C₂×C₇₃	semidirect
571. #3320	C₂×C₇₃	semidirect
572. #3316	C₂×C₇₃	semidirect
573. #3278	C₂×C₇₃	semidirect
574. #3270	C₂×C₇₃	semidirect
575. #3172	C₂×C₇₃	semidirect
576. #3167	C₂×C₇₃	semidirect
577. #3108	C₂×C₇₃	semidirect
578. #3107	C₂×C₇₃	semidirect
579. #3104	C₂×C₇₃	semidirect
580. #3103	C₂×C₇₃	semidirect
581. #2965	C₂×C₇₃	semidirect
582. C₄×#137	C₂×C₇₃	semidirect
583. C₂×C₄×Q₁₆	C₂×C₇₃	semidirect
584. C₇₃	#61440	direct (N × H)
925. Q₁₆	#41×C₇₃	semidirect
1068. C₂×C₄	#137×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₇₃×#3480	2
Q₈×#41×C₇₃	2
C₇₃×#3400	2
C₇₃×#3387	2
C₇₃×#3375	2
C₇₃×#3374	2
C₇₃×#3356	2
C₇₃×#3346	2
C₇₃×#3333	2
C₇₃×#3328	2
C₇₃×#3320	2
C₇₃×#3316	2
C₇₃×#3278	2
C₇₃×#3270	2
C₇₃×#3172	2
C₇₃×#3167	2
C₇₃×#3108	2
C₇₃×#3107	2
C₇₃×#3104	2
C₇₃×#3103	2
C₇₃×#2965	2
C₄×#137×C₇₃	2
C₂×C₄×Q₁₆×C₇₃	2
#61440	73

Subgroups — C73×#61440 #32970844

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#61440 #32970844