Subgroups — C₇₃×#62585 #32971989

Order 18688.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1264 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3514	C₂	1	1	yes	maximal, characteristic
2	C₇₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#3377	C₂	1	2	yes	maximal, complemented
4	C₇₃×#3371	C₂	1	2	yes	maximal, complemented
5	C₇₃×#3313	C₂	1	2	yes	maximal, complemented
6	C₇₃×#3312	C₂	1	2	yes	maximal, complemented
7	C₇₃×#3311	C₂	1	2	yes	maximal, complemented
8	C₇₃×#3310	C₂	1	2	yes	maximal, complemented
9	C₇₃×#3300	C₂	1	2	yes	maximal, complemented
10	C₇₃×#3296	C₂	1	2	yes	maximal, complemented
11	C₇₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#3216	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#3181	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇₃×#3181	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇₃×#3140	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇₃×#3135	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#489×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#2970	C₂	1	1	yes	maximal, characteristic, complemented
24	#559×C₇₃	C₂²	1	1	yes	characteristic
25	#557×C₇₃	—	2	1	no	—
26	#557×C₇₃	C₂²	1	2	yes	complemented
27	#556×C₇₃	—	2	1	no	—
28	#556×C₇₃	C₂²	1	1	yes	characteristic
29	#556×C₇₃	C₂²	1	2	yes	complemented
30	#555×C₇₃	—	2	1	no	—
31	#552×C₇₃	—	2	1	no	—
32	#552×C₇₃	—	2	1	no	—
33	#552×C₇₃	C₂²	1	2	yes	—
34	#552×C₇₃	C₂²	1	2	yes	complemented
35	#551×C₇₃	—	2	1	no	—
36	#551×C₇₃	—	2	1	no	—
37	D₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
38	#548×C₇₃	C₂²	1	1	yes	characteristic
39	#548×C₇₃	C₂²	1	1	yes	characteristic
40	#546×C₇₃	—	2	1	no	—
41	#546×C₇₃	C₂²	1	1	yes	characteristic
42	#546×C₇₃	C₂²	1	1	yes	characteristic
43	D₄²×C₇₃	C₂²	1	1	yes	characteristic
44	#542×C₇₃	—	2	1	no	—
45	#541×C₇₃	—	2	1	no	—
46	#541×C₇₃	—	2	1	no	—
47	#538×C₇₃	—	2	1	no	—
48	#538×C₇₃	—	2	1	no	—
49	#536×C₇₃	—	2	1	no	—
50	#533×C₇₃	C₂²	1	1	yes	characteristic, complemented
51	#533×C₇₃	C₂²	1	1	yes	characteristic, complemented
52	#533×C₇₃	C₂²	1	1	yes	characteristic, complemented
53	#533×C₇₃	C₂²	1	1	yes	characteristic, complemented
54	#533×C₇₃	C₂²	1	1	yes	characteristic, complemented
55	#532×C₇₃	C₂²	1	1	yes	characteristic
56	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
57	#529×C₇₃	C₂²	1	1	yes	characteristic
58	#529×C₇₃	C₂²	1	1	yes	characteristic
59	#529×C₇₃	C₂²	1	1	yes	characteristic
60	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
61	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
62	#519×C₇₃	—	2	1	no	—
63	#518×C₇₃	—	2	1	no	—
64	C₄×#41×C₇₃	C₂²	1	1	yes	characteristic
65	#501×C₇₃	C₂²	1	1	yes	characteristic, complemented
66	#501×C₇₃	C₂²	1	1	yes	characteristic, complemented
67	#501×C₇₃	C₂²	1	1	yes	characteristic, complemented
68	#497×C₇₃	C₂²	1	1	yes	characteristic
69	#497×C₇₃	C₂²	1	1	yes	characteristic, complemented
70	#497×C₇₃	C₂²	1	1	yes	characteristic, complemented
71	#491×C₇₃	C₂²	1	2	yes	complemented
72	#491×C₇₃	C₂²	1	1	yes	characteristic, complemented
73	#490×C₇₃	C₂²	1	2	yes	—
74	#489×C₇₃	C₂²	1	1	yes	characteristic
75	#489×C₇₃	C₂²	1	1	yes	characteristic
76	#489×C₇₃	C₂²	1	2	yes	—
77	#489×C₇₃	C₂²	1	1	yes	characteristic
78	#489×C₇₃	C₂²	1	1	yes	characteristic, complemented
79	#489×C₇₃	C₂²	1	1	yes	characteristic, complemented
80	#489×C₇₃	C₂²	1	1	yes	characteristic, complemented
81	#489×C₇₃	C₂²	1	1	yes	characteristic, complemented
82	#489×C₇₃	C₂²	1	2	yes	complemented
83	#489×C₇₃	C₂²	1	1	yes	characteristic, complemented
84	#489×C₇₃	C₂²	1	1	yes	characteristic, complemented
85	#488×C₇₃	C₂²	1	2	yes	—
86	#488×C₇₃	C₂²	1	2	yes	complemented
87	#485×C₇₃	C₂²	1	2	yes	complemented
88	#485×C₇₃	C₂²	1	2	yes	complemented
89	#483×C₇₃	C₂²	1	2	yes	complemented
90	#482×C₇₃	C₂²	1	2	yes	—
91	#482×C₇₃	C₂²	1	2	yes	—
92	#480×C₇₃	C₂²	1	2	yes	—
93	#479×C₇₃	C₂²	1	2	yes	complemented
94	#479×C₇₃	C₂²	1	2	yes	complemented
95	#478×C₇₃	C₂²	1	2	yes	—
96	#478×C₇₃	C₂²	1	2	yes	complemented
97	#477×C₇₃	C₂²	1	2	yes	complemented
98	#476×C₇₃	C₂²	1	2	yes	complemented
99	#470×C₇₃	C₂²	1	2	yes	complemented
100	#468×C₇₃	C₂²	1	2	yes	—
101	#467×C₇₃	C₂²	1	2	yes	complemented
102	#467×C₇₃	C₂²	1	2	yes	complemented
103	#465×C₇₃	C₂²	1	2	yes	—
104	#465×C₇₃	C₂²	1	2	yes	—
105	#464×C₇₃	C₂²	1	2	yes	—
106	#464×C₇₃	C₂²	1	2	yes	—
107	#464×C₇₃	C₂²	1	2	yes	complemented
108	#464×C₇₃	C₂²	1	2	yes	complemented
109	#462×C₇₃	C₂²	1	2	yes	complemented
110	#460×C₇₃	C₂²	1	2	yes	—
111	#452×C₇₃	C₂²	1	2	yes	complemented
112	#452×C₇₃	C₂²	1	2	yes	complemented
113	#451×C₇₃	C₂²	1	2	yes	complemented
114	#451×C₇₃	C₂²	1	2	yes	complemented
115	#450×C₇₃	C₂²	1	2	yes	—
116	#450×C₇₃	C₂²	1	2	yes	—
117	#446×C₇₃	C₂²	1	2	yes	complemented
118	#441×C₇₃	C₂²	1	2	yes	complemented
119	#441×C₇₃	C₂²	1	2	yes	complemented
120	#440×C₇₃	C₂²	1	2	yes	—
121	#440×C₇₃	C₂²	1	2	yes	complemented
122	C₄×Q₁₆×C₇₃	C₂²	1	2	yes	complemented
123	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	complemented
124	#435×C₇₃	C₂²	1	2	yes	—
125	#435×C₇₃	C₂²	1	2	yes	complemented
126	C₈×D₄×C₇₃	C₂²	1	2	yes	complemented
127	#432×C₇₃	C₂²	1	1	yes	characteristic, complemented
128	#432×C₇₃	C₂²	1	1	yes	characteristic, complemented
129	#432×C₇₃	C₂²	1	1	yes	characteristic, complemented
130	#419×C₇₃	C₂²	1	2	yes	complemented
131	#418×C₇₃	C₂²	1	2	yes	—
132	#416×C₇₃	C₂²	1	2	yes	complemented
133	#416×C₇₃	C₂²	1	2	yes	complemented
134	C₂×#103×C₇₃	C₂²	1	2	yes	complemented
135	C₂×#102×C₇₃	C₂²	1	2	yes	—
136	C₄×M₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
137	C₂×#97×C₇₃	C₂²	1	1	yes	characteristic, complemented
138	C₂×#97×C₇₃	C₂²	1	1	yes	characteristic, complemented
139	C₂×#41×C₇₃	D₄	1	1	yes	characteristic
140	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
141	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₇₃	—	2	1	no	—
143	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
144	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
145	C₂²×D₄×C₇₃	—	2	1	no	—
146	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
147	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
148	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
149	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
150	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
151	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
152	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
153	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
154	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
155	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
156	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
157	C₄⋊Q₈×C₇₃	—	2	2	no	—
158	C₄⋊Q₈×C₇₃	—	2	1	no	—
159	C₄⋊Q₈×C₇₃	—	2	1	no	—
160	C₄⋊Q₈×C₇₃	—	2	1	no	—
161	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
162	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
163	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
164	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
165	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
166	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
167	#127×C₇₃	C₂³	1	1	yes	characteristic
168	#126×C₇₃	—	2	1	no	—
169	#126×C₇₃	—	2	1	no	—
170	#126×C₇₃	—	2	2	no	—
171	#126×C₇₃	—	2	2	no	—
172	#126×C₇₃	—	2	2	no	—
173	#126×C₇₃	—	2	2	no	—
174	#126×C₇₃	—	2	1	no	—
175	#126×C₇₃	—	2	1	no	—
176	#126×C₇₃	—	2	1	no	—
177	#125×C₇₃	—	2	2	no	—
178	#125×C₇₃	—	2	2	no	—
179	#125×C₇₃	—	2	2	no	—
180	#125×C₇₃	—	2	2	no	—
181	#125×C₇₃	—	2	1	no	—
182	#125×C₇₃	—	2	1	no	—
183	#125×C₇₃	—	2	1	no	—
184	#125×C₇₃	C₂³	1	2	yes	—
185	#125×C₇₃	C₂³	1	2	yes	—
186	#125×C₇₃	C₂³	1	1	yes	characteristic
187	#124×C₇₃	—	2	1	no	—
188	#124×C₇₃	—	2	2	no	—
189	#124×C₇₃	—	2	1	no	—
190	#124×C₇₃	—	2	1	no	—
191	#124×C₇₃	—	2	1	no	—
192	#124×C₇₃	—	2	1	no	—
193	#124×C₇₃	—	2	1	no	—
194	#124×C₇₃	—	2	1	no	—
195	#124×C₇₃	C₂³	1	1	yes	characteristic
196	#124×C₇₃	C₂³	1	1	yes	characteristic
197	#124×C₇₃	C₂³	1	1	yes	characteristic
198	#124×C₇₃	C₂³	1	1	yes	characteristic
199	#124×C₇₃	C₂³	1	1	yes	characteristic
200	#124×C₇₃	C₂³	1	1	yes	characteristic
201	#124×C₇₃	C₂³	1	1	yes	characteristic
202	#123×C₇₃	—	2	2	no	—
203	#123×C₇₃	—	2	2	no	—
204	#123×C₇₃	—	2	1	no	—
205	#123×C₇₃	—	2	1	no	—
206	#123×C₇₃	—	2	1	no	—
207	#123×C₇₃	—	2	1	no	—
208	#123×C₇₃	—	2	1	no	—
209	#123×C₇₃	—	2	1	no	—
210	#123×C₇₃	—	2	1	no	—
211	C₂²⋊Q₈×C₇₃	—	2	1	no	—
212	C₂²⋊Q₈×C₇₃	—	2	1	no	—
213	C₂²⋊Q₈×C₇₃	—	2	1	no	—
214	C₂²⋊Q₈×C₇₃	—	2	1	no	—
215	C₂²⋊Q₈×C₇₃	—	2	1	no	—
216	C₂²⋊Q₈×C₇₃	—	2	1	no	—
217	C₂²⋊Q₈×C₇₃	—	2	1	no	—
218	C₂²⋊Q₈×C₇₃	—	2	1	no	—
219	C₂²⋊Q₈×C₇₃	—	2	1	no	—
220	C₂²⋊Q₈×C₇₃	—	2	1	no	—
221	C₂²⋊Q₈×C₇₃	—	2	1	no	—
222	C₂²⋊Q₈×C₇₃	—	2	1	no	—
223	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
224	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
225	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
226	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
227	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
228	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
229	#121×C₇₃	—	2	1	no	—
230	#121×C₇₃	—	2	1	no	—
231	#121×C₇₃	—	2	1	no	—
232	#121×C₇₃	—	2	1	no	—
233	#121×C₇₃	—	2	1	no	—
234	#121×C₇₃	—	2	1	no	—
235	#121×C₇₃	—	2	1	no	—
236	#121×C₇₃	C₂³	1	1	yes	characteristic
237	#121×C₇₃	C₂³	1	1	yes	characteristic
238	#121×C₇₃	C₂³	1	1	yes	characteristic
239	#120×C₇₃	—	2	1	no	—
240	#120×C₇₃	—	2	1	no	—
241	#120×C₇₃	—	2	1	no	—
242	#120×C₇₃	—	2	1	no	—
243	C₄×Q₈×C₇₃	—	2	2	no	—
244	C₄×Q₈×C₇₃	—	2	2	no	—
245	C₄×Q₈×C₇₃	—	2	1	no	—
246	C₄×Q₈×C₇₃	—	2	1	no	—
247	C₄×Q₈×C₇₃	—	2	1	no	—
248	C₄×Q₈×C₇₃	—	2	1	no	—
249	C₄×Q₈×C₇₃	—	2	1	no	—
250	C₄×Q₈×C₇₃	—	2	1	no	—
251	C₄×Q₈×C₇₃	—	2	1	no	—
252	C₄×Q₈×C₇₃	D₄	1	1	yes	characteristic
253	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
254	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
255	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
256	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
257	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
258	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
259	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₇₃	—	2	1	no	—
261	C₄×D₄×C₇₃	—	2	1	no	—
262	C₄×D₄×C₇₃	—	2	1	no	—
263	C₄×D₄×C₇₃	—	2	1	no	—
264	C₄×D₄×C₇₃	—	2	1	no	—
265	C₄×D₄×C₇₃	—	2	1	no	—
266	C₄×D₄×C₇₃	—	2	1	no	—
267	C₄×D₄×C₇₃	—	2	1	no	—
268	C₄×D₄×C₇₃	—	2	1	no	—
269	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
270	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
271	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
272	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
274	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
275	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
276	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
277	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
278	#117×C₇₃	—	2	1	no	—
279	#117×C₇₃	—	2	1	no	—
280	#117×C₇₃	—	2	1	no	—
281	#117×C₇₃	—	2	1	no	—
282	#117×C₇₃	—	2	2	no	—
283	#117×C₇₃	—	2	2	no	—
284	#117×C₇₃	—	2	1	no	—
285	#117×C₇₃	—	2	1	no	—
286	#117×C₇₃	—	2	1	no	—
287	#117×C₇₃	D₄	1	1	yes	characteristic
288	#117×C₇₃	D₄	1	1	yes	characteristic
289	#117×C₇₃	D₄	1	1	yes	characteristic
290	#117×C₇₃	C₂³	1	2	yes	—
291	#117×C₇₃	C₂³	1	2	yes	—
292	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
293	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
294	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
295	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
296	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
297	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
298	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
299	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
300	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
303	#107×C₇₃	C₂³	1	2	yes	—
304	#107×C₇₃	C₂³	1	2	yes	—
305	#107×C₇₃	C₂³	1	2	yes	—
306	#106×C₇₃	C₂³	1	2	yes	—
307	#106×C₇₃	C₂³	1	2	yes	—
308	#106×C₇₃	C₂³	1	2	yes	—
309	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
310	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
311	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
312	#103×C₇₃	C₂³	1	2	yes	—
313	#103×C₇₃	C₂³	1	2	yes	—
314	#103×C₇₃	C₂³	1	2	yes	—
315	#103×C₇₃	C₂³	1	2	yes	—
316	#103×C₇₃	C₂³	1	2	yes	—
317	#103×C₇₃	C₂³	1	2	yes	—
318	#103×C₇₃	C₂³	1	2	yes	—
319	#103×C₇₃	C₂³	1	2	yes	—
320	#103×C₇₃	C₂³	1	2	yes	—
321	#103×C₇₃	C₂³	1	2	yes	—
322	#103×C₇₃	C₂³	1	2	yes	—
323	#102×C₇₃	C₂³	1	2	yes	—
324	#102×C₇₃	C₂³	1	2	yes	—
325	#102×C₇₃	C₂³	1	2	yes	—
326	#102×C₇₃	C₂³	1	2	yes	—
327	#102×C₇₃	C₂³	1	2	yes	—
328	#102×C₇₃	C₂³	1	2	yes	—
329	#102×C₇₃	C₂³	1	2	yes	—
330	#102×C₇₃	C₂³	1	2	yes	—
331	#102×C₇₃	C₂³	1	2	yes	—
332	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
333	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
334	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
335	#97×C₇₃	C₂³	1	1	yes	characteristic
336	#97×C₇₃	C₂³	1	1	yes	characteristic
337	#97×C₇₃	C₂³	1	1	yes	characteristic
338	#97×C₇₃	C₂³	1	2	yes	—
339	#97×C₇₃	C₂³	1	2	yes	—
340	#97×C₇₃	C₂³	1	1	yes	characteristic
341	C₄×C₈×C₇₃	C₂³	1	2	yes	—
342	C₂⁴×C₇₃	—	2	1	no	—
343	C₂⁴×C₇₃	—	2	1	no	—
344	#41×C₇₃	—	4	2	no	—
345	#41×C₇₃	—	4	2	no	—
346	#41×C₇₃	—	4	2	no	—
347	C₂×Q₈×C₇₃	—	2	1	no	—
348	C₂×Q₈×C₇₃	—	2	1	no	—
349	C₂×Q₈×C₇₃	—	2	1	no	—
350	C₂×Q₈×C₇₃	—	2	2	no	—
351	C₂×Q₈×C₇₃	—	2	1	no	—
352	C₂×Q₈×C₇₃	—	2	1	no	—
353	C₂×Q₈×C₇₃	—	4	4	no	—
354	C₂×Q₈×C₇₃	—	4	2	no	—
355	C₂×Q₈×C₇₃	—	4	2	no	—
356	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
357	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
358	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
359	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
361	C₂×D₄×C₇₃	—	2	1	no	—
362	C₂×D₄×C₇₃	—	2	1	no	—
363	C₂×D₄×C₇₃	—	2	1	no	—
364	C₂×D₄×C₇₃	—	2	1	no	—
365	C₂×D₄×C₇₃	—	2	1	no	—
366	C₂×D₄×C₇₃	—	2	1	no	—
367	C₂×D₄×C₇₃	—	2	1	no	—
368	C₂×D₄×C₇₃	—	2	1	no	—
369	C₂×D₄×C₇₃	—	2	1	no	—
370	C₂×D₄×C₇₃	—	4	2	no	—
371	C₂×D₄×C₇₃	—	4	2	no	—
372	C₂×D₄×C₇₃	—	4	4	no	—
373	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
374	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
375	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
376	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
377	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
378	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₇₃	—	2	2	no	—
380	C₂²×C₄×C₇₃	—	2	1	no	—
381	C₂²×C₄×C₇₃	—	2	1	no	—
382	C₂²×C₄×C₇₃	—	2	1	no	—
383	C₂²×C₄×C₇₃	—	2	1	no	—
384	C₂²×C₄×C₇₃	—	2	1	no	—
385	C₂²×C₄×C₇₃	—	2	1	no	—
386	C₂²×C₄×C₇₃	—	2	1	no	—
387	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
396	Q₁₆×C₇₃	—	4	2	no	—
397	Q₁₆×C₇₃	—	4	2	no	—
398	Q₁₆×C₇₃	—	4	2	no	—
399	SD₁₆×C₇₃	—	4	2	no	—
400	SD₁₆×C₇₃	—	4	2	no	—
401	SD₁₆×C₇₃	—	4	2	no	—
402	M₁₆×C₇₃	—	4	2	no	—
403	C₂×C₈×C₇₃	—	4	2	no	—
404	C₂×C₈×C₇₃	—	4	2	no	—
405	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
406	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
407	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
408	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
409	C₄⋊C₄×C₇₃	—	2	1	no	—
410	C₄⋊C₄×C₇₃	—	2	1	no	—
411	C₄⋊C₄×C₇₃	—	2	2	no	—
412	C₄⋊C₄×C₇₃	—	2	2	no	—
413	C₄⋊C₄×C₇₃	—	2	1	no	—
414	C₄⋊C₄×C₇₃	—	2	1	no	—
415	C₄⋊C₄×C₇₃	—	2	1	no	—
416	C₄⋊C₄×C₇₃	—	2	1	no	—
417	C₄⋊C₄×C₇₃	—	2	1	no	—
418	C₄⋊C₄×C₇₃	—	2	1	no	—
419	C₄⋊C₄×C₇₃	—	2	1	no	—
420	C₄⋊C₄×C₇₃	—	2	2	no	—
421	C₄⋊C₄×C₇₃	—	2	2	no	—
422	C₄⋊C₄×C₇₃	—	2	2	no	—
423	C₄⋊C₄×C₇₃	—	2	2	no	—
424	C₄⋊C₄×C₇₃	—	2	1	no	—
425	C₄⋊C₄×C₇₃	—	2	1	no	—
426	C₄⋊C₄×C₇₃	—	2	1	no	—
427	C₄⋊C₄×C₇₃	—	2	2	no	—
428	C₄⋊C₄×C₇₃	—	2	2	no	—
429	C₄⋊C₄×C₇₃	—	2	2	no	—
430	C₄⋊C₄×C₇₃	—	2	1	no	—
431	C₄⋊C₄×C₇₃	—	2	1	no	—
432	C₄⋊C₄×C₇₃	—	2	1	no	—
433	C₄⋊C₄×C₇₃	—	2	2	no	—
434	C₄⋊C₄×C₇₃	—	2	2	no	—
435	C₄⋊C₄×C₇₃	—	2	2	no	—
436	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
437	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
438	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
439	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
440	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
441	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
442	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
443	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
444	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
445	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
446	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
447	C₂²⋊C₄×C₇₃	—	2	1	no	—
448	C₂²⋊C₄×C₇₃	—	2	1	no	—
449	C₂²⋊C₄×C₇₃	—	2	2	no	—
450	C₂²⋊C₄×C₇₃	—	2	2	no	—
451	C₂²⋊C₄×C₇₃	—	2	2	no	—
452	C₂²⋊C₄×C₇₃	—	2	2	no	—
453	C₂²⋊C₄×C₇₃	—	2	2	no	—
454	C₂²⋊C₄×C₇₃	—	2	1	no	—
455	C₂²⋊C₄×C₇₃	—	2	1	no	—
456	C₂²⋊C₄×C₇₃	—	2	1	no	—
457	C₂²⋊C₄×C₇₃	—	2	1	no	—
458	C₂²⋊C₄×C₇₃	—	2	1	no	—
459	C₂²⋊C₄×C₇₃	—	2	1	no	—
460	C₂²⋊C₄×C₇₃	—	2	1	no	—
461	C₂²⋊C₄×C₇₃	—	2	1	no	—
462	C₂²⋊C₄×C₇₃	—	2	1	no	—
463	C₂²⋊C₄×C₇₃	—	2	1	no	—
464	C₂²⋊C₄×C₇₃	—	2	1	no	—
465	C₂²⋊C₄×C₇₃	—	2	1	no	—
466	C₂²⋊C₄×C₇₃	—	2	1	no	—
467	C₂²⋊C₄×C₇₃	—	2	1	no	—
468	C₂²⋊C₄×C₇₃	—	2	1	no	—
469	C₂²⋊C₄×C₇₃	—	2	1	no	—
470	C₂²⋊C₄×C₇₃	—	2	1	no	—
471	C₂²⋊C₄×C₇₃	—	2	1	no	—
472	C₂²⋊C₄×C₇₃	—	2	1	no	—
473	C₂²⋊C₄×C₇₃	—	2	1	no	—
474	C₂²⋊C₄×C₇₃	—	2	1	no	—
475	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
476	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
477	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
478	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
479	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
480	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
481	C₄²×C₇₃	—	2	1	no	—
482	C₄²×C₇₃	—	2	1	no	—
483	C₄²×C₇₃	—	2	2	no	—
484	C₄²×C₇₃	—	2	2	no	—
485	C₄²×C₇₃	—	2	2	no	—
486	C₄²×C₇₃	—	2	2	no	—
487	C₄²×C₇₃	—	2	1	no	—
488	C₄²×C₇₃	—	2	2	no	—
489	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
490	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
491	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
492	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
493	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
494	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
495	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
496	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
497	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
498	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
499	C₂³×C₇₃	—	2	1	no	—
500	C₂³×C₇₃	—	2	1	no	—
501	C₂³×C₇₃	—	2	1	no	—
502	C₂³×C₇₃	—	4	2	no	—
503	C₂³×C₇₃	—	4	2	no	—
504	C₂³×C₇₃	—	8	1	no	—
505	C₂³×C₇₃	—	8	1	no	—
506	C₂³×C₇₃	—	8	1	no	—
507	C₂³×C₇₃	—	8	1	no	—
508	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
509	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
510	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
511	Q₈×C₇₃	—	2	2	no	—
512	Q₈×C₇₃	—	2	2	no	—
513	Q₈×C₇₃	—	2	2	no	—
514	Q₈×C₇₃	—	2	2	no	—
515	Q₈×C₇₃	—	2	2	no	—
516	Q₈×C₇₃	—	4	1	no	—
517	Q₈×C₇₃	—	4	2	no	—
518	Q₈×C₇₃	—	4	2	no	—
519	Q₈×C₇₃	—	4	2	no	—
520	Q₈×C₇₃	—	4	4	no	—
521	Q₈×C₇₃	—	8	1	no	—
522	Q₈×C₇₃	—	8	1	no	—
523	D₄×C₇₃	—	2	2	no	—
524	D₄×C₇₃	—	2	2	no	—
525	D₄×C₇₃	—	2	2	no	—
526	D₄×C₇₃	—	2	2	no	—
527	D₄×C₇₃	—	2	2	no	—
528	D₄×C₇₃	—	4	1	no	—
529	D₄×C₇₃	—	4	2	no	—
530	D₄×C₇₃	—	4	2	no	—
531	D₄×C₇₃	—	4	2	no	—
532	D₄×C₇₃	—	8	1	no	—
533	D₄×C₇₃	—	8	1	no	—
534	D₄×C₇₃	—	8	1	no	—
535	D₄×C₇₃	—	8	1	no	—
536	D₄×C₇₃	—	8	1	no	—
537	D₄×C₇₃	—	8	1	no	—
538	C₂×C₄×C₇₃	—	2	2	no	—
539	C₂×C₄×C₇₃	—	2	2	no	—
540	C₂×C₄×C₇₃	—	2	2	no	—
541	C₂×C₄×C₇₃	—	2	2	no	—
542	C₂×C₄×C₇₃	—	2	2	no	—
543	C₂×C₄×C₇₃	—	2	2	no	—
544	C₂×C₄×C₇₃	—	2	1	no	—
545	C₂×C₄×C₇₃	—	2	2	no	—
546	C₂×C₄×C₇₃	—	2	2	no	—
547	C₂×C₄×C₇₃	—	2	1	no	—
548	C₂×C₄×C₇₃	—	2	1	no	—
549	C₂×C₄×C₇₃	—	2	1	no	—
550	C₂×C₄×C₇₃	—	2	1	no	—
551	C₂×C₄×C₇₃	—	4	1	no	—
552	C₂×C₄×C₇₃	—	4	1	no	—
553	C₂×C₄×C₇₃	—	4	1	no	—
554	C₂×C₄×C₇₃	—	4	1	no	—
555	C₂×C₄×C₇₃	—	4	1	no	—
556	C₂×C₄×C₇₃	—	4	2	no	—
557	C₂×C₄×C₇₃	—	4	4	no	—
558	C₂×C₄×C₇₃	—	8	1	no	—
559	C₂×C₄×C₇₃	—	8	1	no	—
560	C₂×C₄×C₇₃	—	8	1	no	—
561	C₂×C₄×C₇₃	—	8	1	no	—
562	C₂×C₄×C₇₃	—	8	1	no	—
563	C₂×C₄×C₇₃	—	8	1	no	—
564	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
565	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
566	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
567	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
568	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
569	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
570	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
571	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
572	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
573	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
574	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
575	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
576	C₈×C₇₃	—	2	2	no	—
577	C₈×C₇₃	—	2	2	no	—
578	C₈×C₇₃	—	2	2	no	—
579	C₈×C₇₃	—	2	2	no	—
580	C₂²×C₇₃	—	2	1	no	—
581	C₂²×C₇₃	—	2	1	no	—
582	C₂²×C₇₃	—	2	1	no	—
583	C₂²×C₇₃	—	2	1	no	—
584	C₂²×C₇₃	—	2	1	no	—
585	C₂²×C₇₃	—	2	1	no	—
586	C₂²×C₇₃	—	2	1	no	—
587	C₂²×C₇₃	—	2	1	no	—
588	C₂²×C₇₃	—	4	1	no	—
589	C₂²×C₇₃	—	4	1	no	—
590	C₂²×C₇₃	—	4	1	no	—
591	C₂²×C₇₃	—	4	1	no	—
592	C₂²×C₇₃	—	4	1	no	—
593	C₂²×C₇₃	—	4	1	no	—
594	C₂²×C₇₃	—	4	1	no	—
595	C₂²×C₇₃	—	4	1	no	—
596	C₂²×C₇₃	—	4	1	no	—
597	C₂²×C₇₃	—	16	2	no	—
598	C₂²×C₇₃	—	16	2	no	—
599	C₂²×C₇₃	#575	1	2	yes	—
600	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
601	C₄×C₇₃	—	2	1	no	—
602	C₄×C₇₃	—	2	1	no	—
603	C₄×C₇₃	—	2	1	no	—
604	C₄×C₇₃	—	2	1	no	—
605	C₄×C₇₃	—	2	1	no	—
606	C₄×C₇₃	—	2	1	no	—
607	C₄×C₇₃	—	2	1	no	—
608	C₄×C₇₃	—	2	1	no	—
609	C₄×C₇₃	—	2	1	no	—
610	C₄×C₇₃	—	2	1	no	—
611	C₄×C₇₃	—	2	1	no	—
612	C₄×C₇₃	—	4	1	no	—
613	C₄×C₇₃	—	4	2	no	—
614	C₄×C₇₃	—	4	1	no	—
615	C₄×C₇₃	—	4	1	no	—
616	C₄×C₇₃	—	4	1	no	—
617	C₄×C₇₃	—	4	2	no	—
618	C₄×C₇₃	—	4	1	no	—
619	C₄×C₇₃	—	4	2	no	—
620	C₄×C₇₃	—	4	2	no	—
621	C₄×C₇₃	#585	1	2	yes	—
622	#62585	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
623	C₂×C₇₃	—	2	2	no	—
624	C₂×C₇₃	—	4	1	no	—
625	C₂×C₇₃	—	4	1	no	—
626	C₂×C₇₃	—	8	1	no	—
627	C₂×C₇₃	—	8	1	no	—
628	C₂×C₇₃	—	8	1	no	—
629	C₂×C₇₃	#3500	1	1	yes	characteristic
630	C₂×C₇₃	C₂×#575	1	1	yes	characteristic
631	C₂×C₇₃	#3586	1	1	yes	characteristic
632	#3514	C₂×C₇₃	1	1	yes	characteristic
633	#3509	C₂×C₇₃	1	1	yes	characteristic, complemented
634	#3377	C₂×C₇₃	1	2	yes	complemented
635	#3371	C₂×C₇₃	1	2	yes	complemented
636	#3313	C₂×C₇₃	1	2	yes	complemented
637	#3312	C₂×C₇₃	1	2	yes	complemented
638	#3311	C₂×C₇₃	1	2	yes	complemented
639	#3310	C₂×C₇₃	1	2	yes	complemented
640	#3300	C₂×C₇₃	1	2	yes	complemented
641	#3296	C₂×C₇₃	1	2	yes	complemented
642	#3240	C₂×C₇₃	1	1	yes	characteristic, complemented
643	#3240	C₂×C₇₃	1	1	yes	characteristic, complemented
644	#3238	C₂×C₇₃	1	1	yes	characteristic, complemented
645	#3216	C₂×C₇₃	1	1	yes	characteristic, complemented
646	#3215	C₂×C₇₃	1	1	yes	characteristic, complemented
647	#3215	C₂×C₇₃	1	1	yes	characteristic, complemented
648	#3181	C₂×C₇₃	1	1	yes	characteristic, complemented
649	#3181	C₂×C₇₃	1	1	yes	characteristic, complemented
650	#3172	C₂×C₇₃	1	1	yes	characteristic, complemented
651	#3140	C₂×C₇₃	1	1	yes	characteristic, complemented
652	#3135	C₂×C₇₃	1	1	yes	characteristic, complemented
653	C₂×#489	C₂×C₇₃	1	1	yes	characteristic, complemented
654	#2970	C₂×C₇₃	1	1	yes	characteristic, complemented
655	C₇₃	#62585	1	1	yes	characteristic, direct product factor, Sylow
656	#559	C₂²×C₇₃	1	1	yes	characteristic
657	#557	—	2	1	no	—
658	#557	C₂²×C₇₃	1	2	yes	complemented
659	#556	—	2	1	no	—
660	#556	C₂²×C₇₃	1	1	yes	characteristic
661	#556	C₂²×C₇₃	1	2	yes	complemented
662	#555	—	2	1	no	—
663	#552	—	2	1	no	—
664	#552	—	2	1	no	—
665	#552	C₂²×C₇₃	1	2	yes	—
666	#552	C₂²×C₇₃	1	2	yes	complemented
667	#551	—	2	1	no	—
668	#551	—	2	1	no	—
669	D₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
670	#548	C₂²×C₇₃	1	1	yes	characteristic
671	#548	C₂²×C₇₃	1	1	yes	characteristic
672	#546	—	2	1	no	—
673	#546	C₂²×C₇₃	1	1	yes	characteristic
674	#546	C₂²×C₇₃	1	1	yes	characteristic
675	D₄²	C₂²×C₇₃	1	1	yes	characteristic
676	#542	—	2	1	no	—
677	#541	—	2	1	no	—
678	#541	—	2	1	no	—
679	#538	—	2	1	no	—
680	#538	—	2	1	no	—
681	#536	—	2	1	no	—
682	#533	C₂²×C₇₃	1	1	yes	characteristic, complemented
683	#533	C₂²×C₇₃	1	1	yes	characteristic, complemented
684	#533	C₂²×C₇₃	1	1	yes	characteristic, complemented
685	#533	C₂²×C₇₃	1	1	yes	characteristic, complemented
686	#533	C₂²×C₇₃	1	1	yes	characteristic, complemented
687	#532	C₂²×C₇₃	1	1	yes	characteristic
688	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
689	#529	C₂²×C₇₃	1	1	yes	characteristic
690	#529	C₂²×C₇₃	1	1	yes	characteristic
691	#529	C₂²×C₇₃	1	1	yes	characteristic
692	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
693	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
694	#519	—	2	1	no	—
695	#518	—	2	1	no	—
696	C₄×#41	C₂²×C₇₃	1	1	yes	characteristic
697	#501	C₂²×C₇₃	1	1	yes	characteristic, complemented
698	#501	C₂²×C₇₃	1	1	yes	characteristic, complemented
699	#501	C₂²×C₇₃	1	1	yes	characteristic, complemented
700	#497	C₂²×C₇₃	1	1	yes	characteristic
701	#497	C₂²×C₇₃	1	1	yes	characteristic, complemented
702	#497	C₂²×C₇₃	1	1	yes	characteristic, complemented
703	#491	C₂²×C₇₃	1	2	yes	complemented
704	#491	C₂²×C₇₃	1	1	yes	characteristic, complemented
705	#490	C₂²×C₇₃	1	2	yes	—
706	#489	C₂²×C₇₃	1	2	yes	—
707	#489	C₂²×C₇₃	1	1	yes	characteristic
708	#489	C₂²×C₇₃	1	1	yes	characteristic
709	#489	C₂²×C₇₃	1	1	yes	characteristic
710	#489	C₂²×C₇₃	1	2	yes	complemented
711	#489	C₂²×C₇₃	1	1	yes	characteristic, complemented
712	#489	C₂²×C₇₃	1	1	yes	characteristic, complemented
713	#489	C₂²×C₇₃	1	1	yes	characteristic, complemented
714	#489	C₂²×C₇₃	1	1	yes	characteristic, complemented
715	#489	C₂²×C₇₃	1	1	yes	characteristic, complemented
716	#489	C₂²×C₇₃	1	1	yes	characteristic, complemented
717	#488	C₂²×C₇₃	1	2	yes	—
718	#488	C₂²×C₇₃	1	2	yes	complemented
719	#485	C₂²×C₇₃	1	2	yes	complemented
720	#485	C₂²×C₇₃	1	2	yes	complemented
721	#483	C₂²×C₇₃	1	2	yes	complemented
722	#482	C₂²×C₇₃	1	2	yes	—
723	#482	C₂²×C₇₃	1	2	yes	—
724	#480	C₂²×C₇₃	1	2	yes	—
725	#479	C₂²×C₇₃	1	2	yes	complemented
726	#479	C₂²×C₇₃	1	2	yes	complemented
727	#478	C₂²×C₇₃	1	2	yes	—
728	#478	C₂²×C₇₃	1	2	yes	complemented
729	#477	C₂²×C₇₃	1	2	yes	complemented
730	#476	C₂²×C₇₃	1	2	yes	complemented
731	#470	C₂²×C₇₃	1	2	yes	complemented
732	#468	C₂²×C₇₃	1	2	yes	—
733	#467	C₂²×C₇₃	1	2	yes	complemented
734	#467	C₂²×C₇₃	1	2	yes	complemented
735	#465	C₂²×C₇₃	1	2	yes	—
736	#465	C₂²×C₇₃	1	2	yes	—
737	#464	C₂²×C₇₃	1	2	yes	—
738	#464	C₂²×C₇₃	1	2	yes	—
739	#464	C₂²×C₇₃	1	2	yes	complemented
740	#464	C₂²×C₇₃	1	2	yes	complemented
741	#462	C₂²×C₇₃	1	2	yes	complemented
742	#460	C₂²×C₇₃	1	2	yes	—
743	#452	C₂²×C₇₃	1	2	yes	complemented
744	#452	C₂²×C₇₃	1	2	yes	complemented
745	#451	C₂²×C₇₃	1	2	yes	complemented
746	#451	C₂²×C₇₃	1	2	yes	complemented
747	#450	C₂²×C₇₃	1	2	yes	—
748	#450	C₂²×C₇₃	1	2	yes	—
749	#446	C₂²×C₇₃	1	2	yes	complemented
750	#441	C₂²×C₇₃	1	2	yes	complemented
751	#441	C₂²×C₇₃	1	2	yes	complemented
752	#440	C₂²×C₇₃	1	2	yes	—
753	#440	C₂²×C₇₃	1	2	yes	complemented
754	C₄×Q₁₆	C₂²×C₇₃	1	2	yes	complemented
755	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	complemented
756	#435	C₂²×C₇₃	1	2	yes	—
757	#435	C₂²×C₇₃	1	2	yes	complemented
758	C₈×D₄	C₂²×C₇₃	1	2	yes	complemented
759	#432	C₂²×C₇₃	1	1	yes	characteristic, complemented
760	#432	C₂²×C₇₃	1	1	yes	characteristic, complemented
761	#432	C₂²×C₇₃	1	1	yes	characteristic, complemented
762	#419	C₂²×C₇₃	1	2	yes	complemented
763	#418	C₂²×C₇₃	1	2	yes	—
764	#416	C₂²×C₇₃	1	2	yes	complemented
765	#416	C₂²×C₇₃	1	2	yes	complemented
766	C₂×#103	C₂²×C₇₃	1	2	yes	complemented
767	C₂×#102	C₂²×C₇₃	1	2	yes	—
768	C₄×M₁₆	C₂²×C₇₃	1	1	yes	characteristic, complemented
769	C₂×#97	C₂²×C₇₃	1	1	yes	characteristic, complemented
770	C₂×#97	C₂²×C₇₃	1	1	yes	characteristic, complemented
771	C₂×#41	D₄×C₇₃	1	1	yes	characteristic
772	C₂×#41	C₂³×C₇₃	1	1	yes	characteristic
773	C₂×#41	C₂³×C₇₃	1	1	yes	characteristic
774	C₂²×Q₈	—	2	1	no	—
775	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
776	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
777	C₂²×D₄	—	2	1	no	—
778	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
779	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
780	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
781	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
782	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
783	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
784	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
785	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
786	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
787	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
788	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
789	C₄⋊Q₈	—	2	2	no	—
790	C₄⋊Q₈	—	2	1	no	—
791	C₄⋊Q₈	—	2	1	no	—
792	C₄⋊Q₈	—	2	1	no	—
793	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
794	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
795	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
796	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
797	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
798	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
799	#127	C₂³×C₇₃	1	1	yes	characteristic
800	#126	—	2	1	no	—
801	#126	—	2	1	no	—
802	#126	—	2	2	no	—
803	#126	—	2	2	no	—
804	#126	—	2	2	no	—
805	#126	—	2	2	no	—
806	#126	—	2	1	no	—
807	#126	—	2	1	no	—
808	#126	—	2	1	no	—
809	#125	—	2	2	no	—
810	#125	—	2	2	no	—
811	#125	—	2	2	no	—
812	#125	—	2	2	no	—
813	#125	—	2	1	no	—
814	#125	—	2	1	no	—
815	#125	—	2	1	no	—
816	#125	C₂³×C₇₃	1	1	yes	characteristic
817	#125	C₂³×C₇₃	1	2	yes	—
818	#125	C₂³×C₇₃	1	2	yes	—
819	#124	—	2	1	no	—
820	#124	—	2	2	no	—
821	#124	—	2	1	no	—
822	#124	—	2	1	no	—
823	#124	—	2	1	no	—
824	#124	—	2	1	no	—
825	#124	—	2	1	no	—
826	#124	—	2	1	no	—
827	#124	C₂³×C₇₃	1	1	yes	characteristic
828	#124	C₂³×C₇₃	1	1	yes	characteristic
829	#124	C₂³×C₇₃	1	1	yes	characteristic
830	#124	C₂³×C₇₃	1	1	yes	characteristic
831	#124	C₂³×C₇₃	1	1	yes	characteristic
832	#124	C₂³×C₇₃	1	1	yes	characteristic
833	#124	C₂³×C₇₃	1	1	yes	characteristic
834	#123	—	2	2	no	—
835	#123	—	2	2	no	—
836	#123	—	2	1	no	—
837	#123	—	2	1	no	—
838	#123	—	2	1	no	—
839	#123	—	2	1	no	—
840	#123	—	2	1	no	—
841	#123	—	2	1	no	—
842	#123	—	2	1	no	—
843	C₂²⋊Q₈	—	2	1	no	—
844	C₂²⋊Q₈	—	2	1	no	—
845	C₂²⋊Q₈	—	2	1	no	—
846	C₂²⋊Q₈	—	2	1	no	—
847	C₂²⋊Q₈	—	2	1	no	—
848	C₂²⋊Q₈	—	2	1	no	—
849	C₂²⋊Q₈	—	2	1	no	—
850	C₂²⋊Q₈	—	2	1	no	—
851	C₂²⋊Q₈	—	2	1	no	—
852	C₂²⋊Q₈	—	2	1	no	—
853	C₂²⋊Q₈	—	2	1	no	—
854	C₂²⋊Q₈	—	2	1	no	—
855	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
856	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
857	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
858	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
859	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
860	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
861	#121	—	2	1	no	—
862	#121	—	2	1	no	—
863	#121	—	2	1	no	—
864	#121	—	2	1	no	—
865	#121	—	2	1	no	—
866	#121	—	2	1	no	—
867	#121	—	2	1	no	—
868	#121	C₂³×C₇₃	1	1	yes	characteristic
869	#121	C₂³×C₇₃	1	1	yes	characteristic
870	#121	C₂³×C₇₃	1	1	yes	characteristic
871	#120	—	2	1	no	—
872	#120	—	2	1	no	—
873	#120	—	2	1	no	—
874	#120	—	2	1	no	—
875	C₄×Q₈	—	2	2	no	—
876	C₄×Q₈	—	2	2	no	—
877	C₄×Q₈	—	2	1	no	—
878	C₄×Q₈	—	2	1	no	—
879	C₄×Q₈	—	2	1	no	—
880	C₄×Q₈	—	2	1	no	—
881	C₄×Q₈	—	2	1	no	—
882	C₄×Q₈	—	2	1	no	—
883	C₄×Q₈	—	2	1	no	—
884	C₄×Q₈	D₄×C₇₃	1	1	yes	characteristic
885	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
886	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
887	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
888	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
889	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
890	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
891	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	—	2	1	no	—
896	C₄×D₄	—	2	1	no	—
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	2	1	no	—
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	D₄×C₇₃	1	1	yes	characteristic
902	C₄×D₄	D₄×C₇₃	1	1	yes	characteristic
903	C₄×D₄	D₄×C₇₃	1	1	yes	characteristic
904	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
905	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
906	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
907	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
908	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
909	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
910	#117	—	2	1	no	—
911	#117	—	2	1	no	—
912	#117	—	2	1	no	—
913	#117	—	2	1	no	—
914	#117	—	2	2	no	—
915	#117	—	2	2	no	—
916	#117	—	2	1	no	—
917	#117	—	2	1	no	—
918	#117	—	2	1	no	—
919	#117	D₄×C₇₃	1	1	yes	characteristic
920	#117	D₄×C₇₃	1	1	yes	characteristic
921	#117	D₄×C₇₃	1	1	yes	characteristic
922	#117	C₂³×C₇₃	1	2	yes	—
923	#117	C₂³×C₇₃	1	2	yes	—
924	C₂×C₄⋊C₄	—	2	1	no	—
925	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
926	C₂×C₂²⋊C₄	—	2	1	no	—
927	C₂×C₂²⋊C₄	—	2	1	no	—
928	C₂×C₂²⋊C₄	—	2	1	no	—
929	C₂×C₂²⋊C₄	—	2	1	no	—
930	C₂×C₂²⋊C₄	—	2	1	no	—
931	C₂×C₂²⋊C₄	—	2	1	no	—
932	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
933	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
934	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
935	#107	C₂³×C₇₃	1	2	yes	—
936	#107	C₂³×C₇₃	1	2	yes	—
937	#107	C₂³×C₇₃	1	2	yes	—
938	#106	C₂³×C₇₃	1	2	yes	—
939	#106	C₂³×C₇₃	1	2	yes	—
940	#106	C₂³×C₇₃	1	2	yes	—
941	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
942	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
943	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
944	#103	C₂³×C₇₃	1	2	yes	—
945	#103	C₂³×C₇₃	1	2	yes	—
946	#103	C₂³×C₇₃	1	2	yes	—
947	#103	C₂³×C₇₃	1	2	yes	—
948	#103	C₂³×C₇₃	1	2	yes	—
949	#103	C₂³×C₇₃	1	2	yes	—
950	#103	C₂³×C₇₃	1	2	yes	—
951	#103	C₂³×C₇₃	1	2	yes	—
952	#103	C₂³×C₇₃	1	2	yes	—
953	#103	C₂³×C₇₃	1	2	yes	—
954	#103	C₂³×C₇₃	1	2	yes	—
955	#102	C₂³×C₇₃	1	2	yes	—
956	#102	C₂³×C₇₃	1	2	yes	—
957	#102	C₂³×C₇₃	1	2	yes	—
958	#102	C₂³×C₇₃	1	2	yes	—
959	#102	C₂³×C₇₃	1	2	yes	—
960	#102	C₂³×C₇₃	1	2	yes	—
961	#102	C₂³×C₇₃	1	2	yes	—
962	#102	C₂³×C₇₃	1	2	yes	—
963	#102	C₂³×C₇₃	1	2	yes	—
964	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
965	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
966	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
967	#97	C₂³×C₇₃	1	1	yes	characteristic
968	#97	C₂³×C₇₃	1	1	yes	characteristic
969	#97	C₂³×C₇₃	1	1	yes	characteristic
970	#97	C₂³×C₇₃	1	2	yes	—
971	#97	C₂³×C₇₃	1	2	yes	—
972	#97	C₂³×C₇₃	1	1	yes	characteristic
973	C₄×C₈	C₂³×C₇₃	1	2	yes	—
974	C₂⁴	—	2	1	no	—
975	C₂⁴	—	2	1	no	—
976	#41	—	4	2	no	—
977	#41	—	4	2	no	—
978	#41	—	4	2	no	—
979	C₂×Q₈	—	2	1	no	—
980	C₂×Q₈	—	2	1	no	—
981	C₂×Q₈	—	2	1	no	—
982	C₂×Q₈	—	2	2	no	—
983	C₂×Q₈	—	2	1	no	—
984	C₂×Q₈	—	2	1	no	—
985	C₂×Q₈	—	4	4	no	—
986	C₂×Q₈	—	4	2	no	—
987	C₂×Q₈	—	4	2	no	—
988	C₂×Q₈	C₂×D₄×C₇₃	1	1	yes	characteristic
989	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
990	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
991	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
992	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	2	1	no	—
996	C₂×D₄	—	2	1	no	—
997	C₂×D₄	—	2	1	no	—
998	C₂×D₄	—	2	1	no	—
999	C₂×D₄	—	2	1	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	4	2	no	—
1003	C₂×D₄	—	4	2	no	—
1004	C₂×D₄	—	4	4	no	—
1005	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1006	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1007	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1008	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
1009	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
1010	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
1011	C₂²×C₄	—	2	2	no	—
1012	C₂²×C₄	—	2	1	no	—
1013	C₂²×C₄	—	2	1	no	—
1014	C₂²×C₄	—	2	1	no	—
1015	C₂²×C₄	—	2	1	no	—
1016	C₂²×C₄	—	2	1	no	—
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	—	2	1	no	—
1019	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1020	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1021	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1022	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1023	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1024	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1025	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
1026	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
1027	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
1028	Q₁₆	—	4	2	no	—
1029	Q₁₆	—	4	2	no	—
1030	Q₁₆	—	4	2	no	—
1031	SD₁₆	—	4	2	no	—
1032	SD₁₆	—	4	2	no	—
1033	SD₁₆	—	4	2	no	—
1034	M₁₆	—	4	2	no	—
1035	C₂×C₈	—	4	2	no	—
1036	C₂×C₈	—	4	2	no	—
1037	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
1038	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
1039	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
1040	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	2	1	no	—
1043	C₄⋊C₄	—	2	2	no	—
1044	C₄⋊C₄	—	2	2	no	—
1045	C₄⋊C₄	—	2	1	no	—
1046	C₄⋊C₄	—	2	1	no	—
1047	C₄⋊C₄	—	2	1	no	—
1048	C₄⋊C₄	—	2	1	no	—
1049	C₄⋊C₄	—	2	1	no	—
1050	C₄⋊C₄	—	2	1	no	—
1051	C₄⋊C₄	—	2	1	no	—
1052	C₄⋊C₄	—	2	2	no	—
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	2	2	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	—	2	1	no	—
1058	C₄⋊C₄	—	2	1	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	2	no	—
1061	C₄⋊C₄	—	2	2	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	1	no	—
1064	C₄⋊C₄	—	2	1	no	—
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1069	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1070	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1071	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1072	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1073	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1074	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
1075	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
1076	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
1077	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
1078	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
1079	C₂²⋊C₄	—	2	1	no	—
1080	C₂²⋊C₄	—	2	1	no	—
1081	C₂²⋊C₄	—	2	2	no	—
1082	C₂²⋊C₄	—	2	2	no	—
1083	C₂²⋊C₄	—	2	2	no	—
1084	C₂²⋊C₄	—	2	2	no	—
1085	C₂²⋊C₄	—	2	2	no	—
1086	C₂²⋊C₄	—	2	1	no	—
1087	C₂²⋊C₄	—	2	1	no	—
1088	C₂²⋊C₄	—	2	1	no	—
1089	C₂²⋊C₄	—	2	1	no	—
1090	C₂²⋊C₄	—	2	1	no	—
1091	C₂²⋊C₄	—	2	1	no	—
1092	C₂²⋊C₄	—	2	1	no	—
1093	C₂²⋊C₄	—	2	1	no	—
1094	C₂²⋊C₄	—	2	1	no	—
1095	C₂²⋊C₄	—	2	1	no	—
1096	C₂²⋊C₄	—	2	1	no	—
1097	C₂²⋊C₄	—	2	1	no	—
1098	C₂²⋊C₄	—	2	1	no	—
1099	C₂²⋊C₄	—	2	1	no	—
1100	C₂²⋊C₄	—	2	1	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	1	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	1	no	—
1106	C₂²⋊C₄	—	2	1	no	—
1107	C₂²⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1108	C₂²⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1109	C₂²⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1110	C₂²⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1111	C₂²⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1112	C₂²⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
1113	C₄²	—	2	1	no	—
1114	C₄²	—	2	1	no	—
1115	C₄²	—	2	2	no	—
1116	C₄²	—	2	2	no	—
1117	C₄²	—	2	2	no	—
1118	C₄²	—	2	2	no	—
1119	C₄²	—	2	1	no	—
1120	C₄²	—	2	2	no	—
1121	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1122	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1123	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1124	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1125	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1126	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1127	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1128	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1129	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1130	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1131	C₂³	—	2	1	no	—
1132	C₂³	—	2	1	no	—
1133	C₂³	—	2	1	no	—
1134	C₂³	—	4	2	no	—
1135	C₂³	—	4	2	no	—
1136	C₂³	—	8	1	no	—
1137	C₂³	—	8	1	no	—
1138	C₂³	—	8	1	no	—
1139	C₂³	—	8	1	no	—
1140	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
1141	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
1142	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
1143	Q₈	—	2	2	no	—
1144	Q₈	—	2	2	no	—
1145	Q₈	—	2	2	no	—
1146	Q₈	—	2	2	no	—
1147	Q₈	—	2	2	no	—
1148	Q₈	—	4	1	no	—
1149	Q₈	—	4	2	no	—
1150	Q₈	—	4	2	no	—
1151	Q₈	—	4	4	no	—
1152	Q₈	—	4	2	no	—
1153	Q₈	—	8	1	no	—
1154	Q₈	—	8	1	no	—
1155	D₄	—	2	2	no	—
1156	D₄	—	2	2	no	—
1157	D₄	—	2	2	no	—
1158	D₄	—	2	2	no	—
1159	D₄	—	2	2	no	—
1160	D₄	—	4	1	no	—
1161	D₄	—	4	2	no	—
1162	D₄	—	4	2	no	—
1163	D₄	—	4	2	no	—
1164	D₄	—	8	1	no	—
1165	D₄	—	8	1	no	—
1166	D₄	—	8	1	no	—
1167	D₄	—	8	1	no	—
1168	D₄	—	8	1	no	—
1169	D₄	—	8	1	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	1	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	1	no	—
1188	C₂×C₄	—	4	2	no	—
1189	C₂×C₄	—	4	4	no	—
1190	C₂×C₄	—	8	1	no	—
1191	C₂×C₄	—	8	1	no	—
1192	C₂×C₄	—	8	1	no	—
1193	C₂×C₄	—	8	1	no	—
1194	C₂×C₄	—	8	1	no	—
1195	C₂×C₄	—	8	1	no	—
1196	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1197	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1198	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1199	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1200	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1201	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1202	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1203	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1204	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1205	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1206	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1207	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
1208	C₈	—	2	2	no	—
1209	C₈	—	2	2	no	—
1210	C₈	—	2	2	no	—
1211	C₈	—	2	2	no	—
1212	C₂²	—	2	1	no	—
1213	C₂²	—	2	1	no	—
1214	C₂²	—	2	1	no	—
1215	C₂²	—	2	1	no	—
1216	C₂²	—	2	1	no	—
1217	C₂²	—	2	1	no	—
1218	C₂²	—	2	1	no	—
1219	C₂²	—	2	1	no	—
1220	C₂²	—	4	1	no	—
1221	C₂²	—	4	1	no	—
1222	C₂²	—	4	1	no	—
1223	C₂²	—	4	1	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	4	1	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	16	2	no	—
1230	C₂²	—	16	2	no	—
1231	C₂²	#575×C₇₃	1	2	yes	—
1232	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1233	C₄	—	2	1	no	—
1234	C₄	—	2	1	no	—
1235	C₄	—	2	1	no	—
1236	C₄	—	2	1	no	—
1237	C₄	—	2	1	no	—
1238	C₄	—	2	1	no	—
1239	C₄	—	2	1	no	—
1240	C₄	—	2	1	no	—
1241	C₄	—	2	1	no	—
1242	C₄	—	2	1	no	—
1243	C₄	—	2	1	no	—
1244	C₄	—	4	1	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	1	no	—
1247	C₄	—	4	2	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	4	2	no	—
1250	C₄	—	4	2	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	4	2	no	—
1253	C₄	#585×C₇₃	1	2	yes	—
1254	C₂	—	2	2	no	—
1255	C₂	—	4	1	no	—
1256	C₂	—	4	1	no	—
1257	C₂	—	8	1	no	—
1258	C₂	—	8	1	no	—
1259	C₂	—	8	1	no	—
1260	C₂	C₇₃×#3500	1	1	yes	characteristic
1261	C₂	C₂×#575×C₇₃	1	1	yes	characteristic
1262	C₂	C₇₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇₃
prime radical	C₇₃×#3514	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₃ ◁ C₄×#41×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇₃×#3509	C₂	semidirect
3. C₇₃×#3377	C₂	semidirect
4. C₇₃×#3371	C₂	semidirect
5. C₇₃×#3313	C₂	semidirect
6. C₇₃×#3312	C₂	semidirect
7. C₇₃×#3311	C₂	semidirect
8. C₇₃×#3310	C₂	semidirect
9. C₇₃×#3300	C₂	semidirect
10. C₇₃×#3296	C₂	semidirect
11. C₇₃×#3240	C₂	semidirect
12. C₇₃×#3240	C₂	semidirect
13. C₇₃×#3238	C₂	semidirect
14. C₇₃×#3216	C₂	semidirect
15. C₇₃×#3215	C₂	semidirect
16. C₇₃×#3215	C₂	semidirect
17. C₇₃×#3181	C₂	semidirect
18. C₇₃×#3181	C₂	semidirect
19. C₇₃×#3172	C₂	semidirect
20. C₇₃×#3140	C₂	semidirect
21. C₇₃×#3135	C₂	semidirect
22. C₂×#489×C₇₃	C₂	semidirect
23. C₇₃×#2970	C₂	semidirect
26. #557×C₇₃	C₂²	semidirect
29. #556×C₇₃	C₂²	semidirect
34. #552×C₇₃	C₂²	semidirect
50. #533×C₇₃	C₂²	semidirect
51. #533×C₇₃	C₂²	semidirect
52. #533×C₇₃	C₂²	semidirect
53. #533×C₇₃	C₂²	semidirect
54. #533×C₇₃	C₂²	semidirect
56. C₂×C₄⋊Q₈×C₇₃	C₂²	semidirect
65. #501×C₇₃	C₂²	semidirect
66. #501×C₇₃	C₂²	semidirect
67. #501×C₇₃	C₂²	semidirect
69. #497×C₇₃	C₂²	semidirect
70. #497×C₇₃	C₂²	semidirect
71. #491×C₇₃	C₂²	semidirect
72. #491×C₇₃	C₂²	semidirect
78. #489×C₇₃	C₂²	semidirect
79. #489×C₇₃	C₂²	semidirect
80. #489×C₇₃	C₂²	semidirect
81. #489×C₇₃	C₂²	semidirect
82. #489×C₇₃	C₂²	semidirect
83. #489×C₇₃	C₂²	semidirect
84. #489×C₇₃	C₂²	semidirect
86. #488×C₇₃	C₂²	semidirect
87. #485×C₇₃	C₂²	semidirect
88. #485×C₇₃	C₂²	semidirect
89. #483×C₇₃	C₂²	semidirect
93. #479×C₇₃	C₂²	semidirect
94. #479×C₇₃	C₂²	semidirect
96. #478×C₇₃	C₂²	semidirect
97. #477×C₇₃	C₂²	semidirect
98. #476×C₇₃	C₂²	semidirect
99. #470×C₇₃	C₂²	semidirect
101. #467×C₇₃	C₂²	semidirect
102. #467×C₇₃	C₂²	semidirect
107. #464×C₇₃	C₂²	semidirect
108. #464×C₇₃	C₂²	semidirect
109. #462×C₇₃	C₂²	semidirect
111. #452×C₇₃	C₂²	semidirect
112. #452×C₇₃	C₂²	semidirect
113. #451×C₇₃	C₂²	semidirect
114. #451×C₇₃	C₂²	semidirect
117. #446×C₇₃	C₂²	semidirect
118. #441×C₇₃	C₂²	semidirect
119. #441×C₇₃	C₂²	semidirect
121. #440×C₇₃	C₂²	semidirect
122. C₄×Q₁₆×C₇₃	C₂²	semidirect
123. C₄×SD₁₆×C₇₃	C₂²	semidirect
125. #435×C₇₃	C₂²	semidirect
126. C₈×D₄×C₇₃	C₂²	semidirect
127. #432×C₇₃	C₂²	semidirect
128. #432×C₇₃	C₂²	semidirect
129. #432×C₇₃	C₂²	semidirect
130. #419×C₇₃	C₂²	semidirect
132. #416×C₇₃	C₂²	semidirect
133. #416×C₇₃	C₂²	semidirect
134. C₂×#103×C₇₃	C₂²	semidirect
136. C₄×M₁₆×C₇₃	C₂²	semidirect
137. C₂×#97×C₇₃	C₂²	semidirect
138. C₂×#97×C₇₃	C₂²	semidirect
622. #62585	C₇₃	direct (N × H)
633. #3509	C₂×C₇₃	semidirect
634. #3377	C₂×C₇₃	semidirect
635. #3371	C₂×C₇₃	semidirect
636. #3313	C₂×C₇₃	semidirect
637. #3312	C₂×C₇₃	semidirect
638. #3311	C₂×C₇₃	semidirect
639. #3310	C₂×C₇₃	semidirect
640. #3300	C₂×C₇₃	semidirect
641. #3296	C₂×C₇₃	semidirect
642. #3240	C₂×C₇₃	semidirect
643. #3240	C₂×C₇₃	semidirect
644. #3238	C₂×C₇₃	semidirect
645. #3216	C₂×C₇₃	semidirect
646. #3215	C₂×C₇₃	semidirect
647. #3215	C₂×C₇₃	semidirect
648. #3181	C₂×C₇₃	semidirect
649. #3181	C₂×C₇₃	semidirect
650. #3172	C₂×C₇₃	semidirect
651. #3140	C₂×C₇₃	semidirect
652. #3135	C₂×C₇₃	semidirect
653. C₂×#489	C₂×C₇₃	semidirect
654. #2970	C₂×C₇₃	semidirect
655. C₇₃	#62585	direct (N × H)
658. #557	C₂²×C₇₃	semidirect
661. #556	C₂²×C₇₃	semidirect
666. #552	C₂²×C₇₃	semidirect
682. #533	C₂²×C₇₃	semidirect
683. #533	C₂²×C₇₃	semidirect
684. #533	C₂²×C₇₃	semidirect
685. #533	C₂²×C₇₃	semidirect
686. #533	C₂²×C₇₃	semidirect
688. C₂×C₄⋊Q₈	C₂²×C₇₃	semidirect
697. #501	C₂²×C₇₃	semidirect
698. #501	C₂²×C₇₃	semidirect
699. #501	C₂²×C₇₃	semidirect
701. #497	C₂²×C₇₃	semidirect
702. #497	C₂²×C₇₃	semidirect
703. #491	C₂²×C₇₃	semidirect
704. #491	C₂²×C₇₃	semidirect
710. #489	C₂²×C₇₃	semidirect
711. #489	C₂²×C₇₃	semidirect
712. #489	C₂²×C₇₃	semidirect
713. #489	C₂²×C₇₃	semidirect
714. #489	C₂²×C₇₃	semidirect
715. #489	C₂²×C₇₃	semidirect
716. #489	C₂²×C₇₃	semidirect
718. #488	C₂²×C₇₃	semidirect
719. #485	C₂²×C₇₃	semidirect
720. #485	C₂²×C₇₃	semidirect
721. #483	C₂²×C₇₃	semidirect
725. #479	C₂²×C₇₃	semidirect
726. #479	C₂²×C₇₃	semidirect
728. #478	C₂²×C₇₃	semidirect
729. #477	C₂²×C₇₃	semidirect
730. #476	C₂²×C₇₃	semidirect
731. #470	C₂²×C₇₃	semidirect
733. #467	C₂²×C₇₃	semidirect
734. #467	C₂²×C₇₃	semidirect
739. #464	C₂²×C₇₃	semidirect
740. #464	C₂²×C₇₃	semidirect
741. #462	C₂²×C₇₃	semidirect
743. #452	C₂²×C₇₃	semidirect
744. #452	C₂²×C₇₃	semidirect
745. #451	C₂²×C₇₃	semidirect
746. #451	C₂²×C₇₃	semidirect
749. #446	C₂²×C₇₃	semidirect
750. #441	C₂²×C₇₃	semidirect
751. #441	C₂²×C₇₃	semidirect
753. #440	C₂²×C₇₃	semidirect
754. C₄×Q₁₆	C₂²×C₇₃	semidirect
755. C₄×SD₁₆	C₂²×C₇₃	semidirect
757. #435	C₂²×C₇₃	semidirect
758. C₈×D₄	C₂²×C₇₃	semidirect
759. #432	C₂²×C₇₃	semidirect
760. #432	C₂²×C₇₃	semidirect
761. #432	C₂²×C₇₃	semidirect
762. #419	C₂²×C₇₃	semidirect
764. #416	C₂²×C₇₃	semidirect
765. #416	C₂²×C₇₃	semidirect
766. C₂×#103	C₂²×C₇₃	semidirect
768. C₄×M₁₆	C₂²×C₇₃	semidirect
769. C₂×#97	C₂²×C₇₃	semidirect
770. C₂×#97	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×#3514	2
C₇₃×#3509	2
C₇₃×#3377	2
C₇₃×#3371	2
C₇₃×#3313	2
C₇₃×#3312	2
C₇₃×#3311	2
C₇₃×#3310	2
C₇₃×#3300	2
C₇₃×#3296	2
C₇₃×#3240	2
C₇₃×#3238	2
C₇₃×#3216	2
C₇₃×#3215	2
C₇₃×#3181	2
C₇₃×#3172	2
C₇₃×#3140	2
C₇₃×#3135	2
C₂×#489×C₇₃	2
C₇₃×#2970	2
#62585	73

Subgroups — C73×#62585 #32971989

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#62585 #32971989