Subgroups — C₇₃×#62602 #32972006

Order 18688.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1040 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₃×#3552	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#3373	C₂	1	2	yes	maximal, complemented
4	C₇₃×#3371	C₂	1	2	yes	maximal, complemented
5	C₇₃×#3318	C₂	1	2	yes	maximal, complemented
6	C₇₃×#3316	C₂	1	2	yes	maximal, complemented
7	C₇₃×#3311	C₂	1	2	yes	maximal, complemented
8	C₇₃×#3306	C₂	1	2	yes	maximal, complemented
9	C₇₃×#3301	C₂	1	2	yes	maximal, complemented
10	C₇₃×#3295	C₂	1	2	yes	maximal, complemented
11	C₇₃×#3244	C₂	1	2	yes	maximal, complemented
12	C₇₃×#3227	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#3224	C₂	1	2	yes	maximal, complemented
14	C₇₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#3180	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇₃×#3173	C₂	1	2	yes	maximal, complemented
17	C₇₃×#3136	C₂	1	2	yes	maximal, complemented
18	C₂×#489×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#2968	C₂	1	1	yes	maximal, characteristic, complemented
20	#563×C₇₃	—	2	2	no	—
21	#562×C₇₃	—	2	1	no	—
22	H(3,𝔽₄)×C₇₃	—	2	1	no	—
23	#559×C₇₃	C₂²	1	2	yes	—
24	#557×C₇₃	C₂²	1	1	yes	characteristic, complemented
25	#556×C₇₃	C₂²	1	1	yes	characteristic, complemented
26	#554×C₇₃	C₂²	1	2	yes	complemented
27	#553×C₇₃	C₂²	1	2	yes	complemented
28	D₄×Q₈×C₇₃	—	2	1	no	—
29	D₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
30	#548×C₇₃	—	2	1	no	—
31	#548×C₇₃	C₂²	1	2	yes	—
32	#547×C₇₃	C₂²	1	1	yes	characteristic, complemented
33	#546×C₇₃	—	2	2	no	—
34	#546×C₇₃	C₂²	1	2	yes	—
35	D₄²×C₇₃	C₂²	1	2	yes	—
36	#544×C₇₃	C₂²	1	2	yes	complemented
37	#542×C₇₃	C₂²	1	2	yes	—
38	#542×C₇₃	C₂²	1	2	yes	complemented
39	#541×C₇₃	—	2	1	no	—
40	#539×C₇₃	—	2	2	no	—
41	#538×C₇₃	—	2	2	no	—
42	#538×C₇₃	—	2	1	no	—
43	#536×C₇₃	—	2	1	no	—
44	#535×C₇₃	C₂²	1	2	yes	—
45	#534×C₇₃	—	2	1	no	—
46	#532×C₇₃	C₂²	1	1	yes	characteristic
47	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
48	#529×C₇₃	C₂²	1	1	yes	characteristic
49	#529×C₇₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
51	#501×C₇₃	C₂²	1	1	yes	characteristic, complemented
52	#498×C₇₃	C₂²	1	2	yes	complemented
53	#496×C₇₃	C₂²	1	1	yes	characteristic, complemented
54	#495×C₇₃	C₂²	1	2	yes	complemented
55	#490×C₇₃	C₂²	1	2	yes	—
56	#490×C₇₃	C₂²	1	1	yes	characteristic, complemented
57	#489×C₇₃	C₂²	1	2	yes	complemented
58	#489×C₇₃	C₂²	1	2	yes	complemented
59	#489×C₇₃	C₂²	1	2	yes	complemented
60	#489×C₇₃	C₂²	1	2	yes	complemented
61	#489×C₇₃	C₂²	1	2	yes	complemented
62	#489×C₇₃	C₂²	1	1	yes	characteristic, complemented
63	#488×C₇₃	C₂²	1	2	yes	complemented
64	#488×C₇₃	C₂²	1	2	yes	complemented
65	#486×C₇₃	C₂²	1	2	yes	—
66	#486×C₇₃	C₂²	1	2	yes	complemented
67	#485×C₇₃	C₂²	1	2	yes	complemented
68	#483×C₇₃	C₂²	1	2	yes	complemented
69	#482×C₇₃	C₂²	1	2	yes	—
70	#481×C₇₃	C₂²	1	2	yes	—
71	#481×C₇₃	C₂²	1	2	yes	complemented
72	#481×C₇₃	C₂²	1	2	yes	complemented
73	#479×C₇₃	C₂²	1	2	yes	complemented
74	#478×C₇₃	C₂²	1	2	yes	complemented
75	#476×C₇₃	C₂²	1	2	yes	complemented
76	#476×C₇₃	C₂²	1	2	yes	complemented
77	#476×C₇₃	C₂²	1	2	yes	complemented
78	#475×C₇₃	C₂²	1	2	yes	complemented
79	#470×C₇₃	C₂²	1	2	yes	complemented
80	#469×C₇₃	C₂²	1	2	yes	—
81	#466×C₇₃	C₂²	1	2	yes	complemented
82	#465×C₇₃	C₂²	1	2	yes	—
83	#465×C₇₃	C₂²	1	2	yes	complemented
84	#465×C₇₃	C₂²	1	2	yes	complemented
85	#464×C₇₃	C₂²	1	2	yes	complemented
86	#464×C₇₃	C₂²	1	2	yes	complemented
87	#463×C₇₃	C₂²	1	2	yes	complemented
88	#463×C₇₃	C₂²	1	2	yes	complemented
89	#460×C₇₃	C₂²	1	2	yes	—
90	#459×C₇₃	C₂²	1	2	yes	—
91	#452×C₇₃	C₂²	1	2	yes	complemented
92	#451×C₇₃	C₂²	1	1	yes	characteristic, complemented
93	#450×C₇₃	C₂²	1	1	yes	characteristic
94	#450×C₇₃	C₂²	1	2	yes	complemented
95	#449×C₇₃	C₂²	1	2	yes	complemented
96	#448×C₇₃	C₂²	1	1	yes	characteristic, complemented
97	#447×C₇₃	C₂²	1	1	yes	characteristic
98	#447×C₇₃	C₂²	1	2	yes	complemented
99	#446×C₇₃	C₂²	1	2	yes	complemented
100	#442×C₇₃	C₂²	1	2	yes	complemented
101	#442×C₇₃	C₂²	1	2	yes	complemented
102	#441×C₇₃	C₂²	1	2	yes	complemented
103	#440×C₇₃	C₂²	1	2	yes	complemented
104	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	complemented
105	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	complemented
106	#435×C₇₃	C₂²	1	2	yes	complemented
107	#435×C₇₃	C₂²	1	2	yes	complemented
108	C₈×D₄×C₇₃	C₂²	1	2	yes	complemented
109	#433×C₇₃	C₂²	1	2	yes	complemented
110	#431×C₇₃	C₂²	1	1	yes	characteristic, complemented
111	#418×C₇₃	C₂²	1	2	yes	complemented
112	#417×C₇₃	C₂²	1	2	yes	complemented
113	#416×C₇₃	C₂²	1	2	yes	complemented
114	C₂×#103×C₇₃	C₂²	1	2	yes	complemented
115	C₂×#102×C₇₃	C₂²	1	2	yes	—
116	C₂×#102×C₇₃	C₂²	1	2	yes	complemented
117	#405×C₇₃	C₂²	1	2	yes	complemented
118	C₂×#97×C₇₃	C₂²	1	1	yes	characteristic, complemented
119	C₂×#41×C₇₃	—	2	1	no	—
120	C₂×#41×C₇₃	—	2	1	no	—
121	C₂×#41×C₇₃	C₂³	1	2	yes	—
122	C₂²×Q₈×C₇₃	—	2	1	no	—
123	C₂²×Q₈×C₇₃	—	2	1	no	—
124	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₇₃	—	2	2	no	—
126	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
128	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
129	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
130	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
131	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
132	C₂×D₈×C₇₃	C₂³	1	2	yes	—
133	C₂×D₈×C₇₃	C₂³	1	2	yes	—
134	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
135	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
136	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
137	C₄⋊Q₈×C₇₃	—	2	1	no	—
138	C₄⋊Q₈×C₇₃	—	2	2	no	—
139	C₄⋊Q₈×C₇₃	—	2	1	no	—
140	C₄⋊Q₈×C₇₃	—	2	1	no	—
141	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
142	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
143	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
144	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
145	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
146	#127×C₇₃	C₂³	1	2	yes	—
147	#127×C₇₃	C₂³	1	1	yes	characteristic
148	#126×C₇₃	—	2	2	no	—
149	#126×C₇₃	—	2	2	no	—
150	#126×C₇₃	—	2	2	no	—
151	#126×C₇₃	—	2	2	no	—
152	#126×C₇₃	—	2	1	no	—
153	#126×C₇₃	D₄	1	2	yes	—
154	#125×C₇₃	—	2	2	no	—
155	#125×C₇₃	—	2	2	no	—
156	#125×C₇₃	—	2	2	no	—
157	#125×C₇₃	D₄	1	1	yes	characteristic
158	#125×C₇₃	C₂³	1	2	yes	—
159	#125×C₇₃	C₂³	1	1	yes	characteristic
160	#124×C₇₃	—	2	2	no	—
161	#124×C₇₃	—	2	1	no	—
162	#124×C₇₃	—	2	2	no	—
163	#124×C₇₃	—	2	2	no	—
164	#124×C₇₃	—	2	2	no	—
165	#124×C₇₃	—	2	1	no	—
166	#124×C₇₃	—	2	1	no	—
167	#124×C₇₃	—	2	1	no	—
168	#124×C₇₃	D₄	1	1	yes	characteristic
169	#124×C₇₃	C₂³	1	2	yes	—
170	#124×C₇₃	C₂³	1	2	yes	—
171	#124×C₇₃	C₂³	1	2	yes	—
172	#124×C₇₃	C₂³	1	1	yes	characteristic
173	#123×C₇₃	—	2	1	no	—
174	#123×C₇₃	—	2	2	no	—
175	#123×C₇₃	—	2	2	no	—
176	#123×C₇₃	—	2	2	no	—
177	#123×C₇₃	—	2	2	no	—
178	#123×C₇₃	—	2	2	no	—
179	#123×C₇₃	—	2	2	no	—
180	#123×C₇₃	—	2	2	no	—
181	#123×C₇₃	D₄	1	2	yes	—
182	C₂²⋊Q₈×C₇₃	—	2	2	no	—
183	C₂²⋊Q₈×C₇₃	—	2	2	no	—
184	C₂²⋊Q₈×C₇₃	—	2	1	no	—
185	C₂²⋊Q₈×C₇₃	—	2	1	no	—
186	C₂²⋊Q₈×C₇₃	—	2	2	no	—
187	C₂²⋊Q₈×C₇₃	—	2	2	no	—
188	C₂²⋊Q₈×C₇₃	—	2	2	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	D₄	1	1	yes	characteristic
193	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
194	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
195	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
196	#121×C₇₃	—	2	2	no	—
197	#121×C₇₃	—	2	2	no	—
198	#121×C₇₃	—	2	1	no	—
199	#121×C₇₃	—	2	2	no	—
200	#121×C₇₃	—	2	2	no	—
201	#121×C₇₃	—	2	2	no	—
202	#121×C₇₃	—	2	2	no	—
203	#121×C₇₃	D₄	1	1	yes	characteristic
204	#121×C₇₃	C₂³	1	1	yes	characteristic
205	#121×C₇₃	C₂³	1	2	yes	—
206	#121×C₇₃	C₂³	1	2	yes	—
207	#121×C₇₃	C₂³	1	2	yes	—
208	#120×C₇₃	—	2	2	no	—
209	#120×C₇₃	—	2	2	no	—
210	#120×C₇₃	—	2	2	no	—
211	#120×C₇₃	—	2	2	no	—
212	#120×C₇₃	—	2	2	no	—
213	C₄×Q₈×C₇₃	—	2	1	no	—
214	C₄×Q₈×C₇₃	—	2	1	no	—
215	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
216	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
217	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
218	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
219	C₄×D₄×C₇₃	—	2	2	no	—
220	C₄×D₄×C₇₃	—	2	1	no	—
221	C₄×D₄×C₇₃	—	2	2	no	—
222	C₄×D₄×C₇₃	—	2	2	no	—
223	C₄×D₄×C₇₃	—	2	2	no	—
224	C₄×D₄×C₇₃	—	2	1	no	—
225	C₄×D₄×C₇₃	C₂³	1	2	yes	—
226	C₄×D₄×C₇₃	C₂³	1	2	yes	—
227	C₄×D₄×C₇₃	C₂³	1	2	yes	—
228	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
229	C₄×D₄×C₇₃	C₂³	1	2	yes	—
230	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
231	#117×C₇₃	—	2	1	no	—
232	#117×C₇₃	C₂³	1	2	yes	—
233	#117×C₇₃	C₂³	1	2	yes	—
234	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
235	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
236	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
238	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
239	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
240	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
241	#107×C₇₃	C₂³	1	2	yes	—
242	#106×C₇₃	C₂³	1	2	yes	—
243	#106×C₇₃	C₂³	1	2	yes	—
244	#106×C₇₃	C₂³	1	2	yes	—
245	#106×C₇₃	C₂³	1	2	yes	—
246	#106×C₇₃	C₂³	1	2	yes	—
247	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
248	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
249	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
250	#103×C₇₃	C₂³	1	2	yes	—
251	#103×C₇₃	C₂³	1	2	yes	—
252	#103×C₇₃	C₂³	1	2	yes	—
253	#103×C₇₃	C₂³	1	2	yes	—
254	#103×C₇₃	C₂³	1	2	yes	—
255	#103×C₇₃	C₂³	1	2	yes	—
256	#103×C₇₃	C₂³	1	2	yes	—
257	#102×C₇₃	C₂³	1	2	yes	—
258	#102×C₇₃	C₂³	1	2	yes	—
259	#102×C₇₃	C₂³	1	2	yes	—
260	#102×C₇₃	C₂³	1	2	yes	—
261	#102×C₇₃	C₂³	1	2	yes	—
262	#102×C₇₃	C₂³	1	2	yes	—
263	#102×C₇₃	C₂³	1	2	yes	—
264	#102×C₇₃	C₂³	1	2	yes	—
265	#102×C₇₃	C₂³	1	2	yes	—
266	#102×C₇₃	C₂³	1	2	yes	—
267	#102×C₇₃	C₂³	1	2	yes	—
268	#102×C₇₃	C₂³	1	2	yes	—
269	#102×C₇₃	C₂³	1	2	yes	—
270	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
271	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
272	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
273	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
274	#97×C₇₃	C₂³	1	1	yes	characteristic
275	#97×C₇₃	C₂³	1	1	yes	characteristic
276	#97×C₇₃	C₂³	1	2	yes	—
277	#97×C₇₃	C₂³	1	2	yes	—
278	C₄×C₈×C₇₃	C₂³	1	2	yes	—
279	C₄×C₈×C₇₃	C₂³	1	2	yes	—
280	C₂⁴×C₇₃	—	2	1	no	—
281	C₂⁴×C₇₃	—	2	2	no	—
282	#41×C₇₃	—	4	2	no	—
283	#41×C₇₃	—	4	2	no	—
284	#41×C₇₃	—	8	2	no	—
285	#41×C₇₃	—	8	2	no	—
286	C₂×Q₈×C₇₃	—	2	1	no	—
287	C₂×Q₈×C₇₃	—	2	1	no	—
288	C₂×Q₈×C₇₃	—	2	2	no	—
289	C₂×Q₈×C₇₃	—	2	1	no	—
290	C₂×Q₈×C₇₃	—	2	1	no	—
291	C₂×Q₈×C₇₃	—	2	2	no	—
292	C₂×Q₈×C₇₃	—	4	2	no	—
293	C₂×Q₈×C₇₃	—	8	2	no	—
294	C₂×Q₈×C₇₃	—	8	2	no	—
295	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
296	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
297	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
298	C₂×D₄×C₇₃	—	2	1	no	—
299	C₂×D₄×C₇₃	—	2	2	no	—
300	C₂×D₄×C₇₃	—	2	2	no	—
301	C₂×D₄×C₇₃	—	2	2	no	—
302	C₂×D₄×C₇₃	—	2	2	no	—
303	C₂×D₄×C₇₃	—	2	2	no	—
304	C₂×D₄×C₇₃	—	2	1	no	—
305	C₂×D₄×C₇₃	—	2	1	no	—
306	C₂×D₄×C₇₃	—	2	1	no	—
307	C₂×D₄×C₇₃	—	2	2	no	—
308	C₂×D₄×C₇₃	—	2	2	no	—
309	C₂×D₄×C₇₃	—	4	2	no	—
310	C₂×D₄×C₇₃	—	4	2	no	—
311	C₂×D₄×C₇₃	—	4	2	no	—
312	C₂×D₄×C₇₃	—	8	4	no	—
313	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
314	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
315	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
316	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
317	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₇₃	—	2	1	no	—
319	C₂²×C₄×C₇₃	—	2	2	no	—
320	C₂²×C₄×C₇₃	—	2	2	no	—
321	C₂²×C₄×C₇₃	—	2	1	no	—
322	C₂²×C₄×C₇₃	—	2	2	no	—
323	C₂²×C₄×C₇₃	—	2	2	no	—
324	C₂²×C₄×C₇₃	—	2	2	no	—
325	C₂²×C₄×C₇₃	—	2	2	no	—
326	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
327	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
328	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
330	Q₁₆×C₇₃	—	4	2	no	—
331	SD₁₆×C₇₃	—	4	2	no	—
332	SD₁₆×C₇₃	—	4	2	no	—
333	SD₁₆×C₇₃	—	4	2	no	—
334	D₈×C₇₃	—	4	2	no	—
335	D₈×C₇₃	—	4	2	no	—
336	M₁₆×C₇₃	—	4	2	no	—
337	C₂×C₈×C₇₃	—	4	2	no	—
338	C₂×C₈×C₇₃	—	4	2	no	—
339	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
340	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
341	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
342	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
343	C₄⋊C₄×C₇₃	—	2	1	no	—
344	C₄⋊C₄×C₇₃	—	2	2	no	—
345	C₄⋊C₄×C₇₃	—	2	1	no	—
346	C₄⋊C₄×C₇₃	—	2	2	no	—
347	C₄⋊C₄×C₇₃	—	2	2	no	—
348	C₄⋊C₄×C₇₃	—	2	1	no	—
349	C₄⋊C₄×C₇₃	—	2	1	no	—
350	C₄⋊C₄×C₇₃	—	2	2	no	—
351	C₄⋊C₄×C₇₃	—	2	1	no	—
352	C₄⋊C₄×C₇₃	—	2	2	no	—
353	C₄⋊C₄×C₇₃	—	2	1	no	—
354	C₄⋊C₄×C₇₃	—	2	2	no	—
355	C₄⋊C₄×C₇₃	—	2	2	no	—
356	C₄⋊C₄×C₇₃	—	2	2	no	—
357	C₄⋊C₄×C₇₃	—	2	2	no	—
358	C₄⋊C₄×C₇₃	—	2	2	no	—
359	C₄⋊C₄×C₇₃	—	2	1	no	—
360	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
361	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
362	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
363	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
364	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
365	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
366	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
367	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
368	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
369	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
370	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
371	C₂²⋊C₄×C₇₃	—	2	2	no	—
372	C₂²⋊C₄×C₇₃	—	2	2	no	—
373	C₂²⋊C₄×C₇₃	—	2	1	no	—
374	C₂²⋊C₄×C₇₃	—	2	2	no	—
375	C₂²⋊C₄×C₇₃	—	2	2	no	—
376	C₂²⋊C₄×C₇₃	—	2	2	no	—
377	C₂²⋊C₄×C₇₃	—	2	2	no	—
378	C₂²⋊C₄×C₇₃	—	2	2	no	—
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	2	no	—
383	C₂²⋊C₄×C₇₃	—	2	2	no	—
384	C₂²⋊C₄×C₇₃	—	2	2	no	—
385	C₂²⋊C₄×C₇₃	—	2	2	no	—
386	C₂²⋊C₄×C₇₃	—	2	1	no	—
387	C₂²⋊C₄×C₇₃	—	2	2	no	—
388	C₂²⋊C₄×C₇₃	—	2	2	no	—
389	C₂²⋊C₄×C₇₃	—	2	2	no	—
390	C₂²⋊C₄×C₇₃	—	2	1	no	—
391	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
392	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
393	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
394	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
395	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
396	C₄²×C₇₃	—	2	1	no	—
397	C₄²×C₇₃	—	2	2	no	—
398	C₄²×C₇₃	—	2	2	no	—
399	C₄²×C₇₃	—	2	2	no	—
400	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
401	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
402	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
403	C₄²×C₇₃	C₂⁴	1	2	yes	—
404	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
405	C₂³×C₇₃	—	2	1	no	—
406	C₂³×C₇₃	—	2	2	no	—
407	C₂³×C₇₃	—	2	2	no	—
408	C₂³×C₇₃	—	4	2	no	—
409	C₂³×C₇₃	—	8	1	no	—
410	C₂³×C₇₃	—	8	2	no	—
411	C₂³×C₇₃	—	8	2	no	—
412	C₂³×C₇₃	—	8	1	no	—
413	C₂³×C₇₃	—	8	2	no	—
414	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
415	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
416	Q₈×C₇₃	—	2	2	no	—
417	Q₈×C₇₃	—	2	2	no	—
418	Q₈×C₇₃	—	2	2	no	—
419	Q₈×C₇₃	—	4	1	no	—
420	Q₈×C₇₃	—	4	2	no	—
421	Q₈×C₇₃	—	4	2	no	—
422	Q₈×C₇₃	—	8	1	no	—
423	Q₈×C₇₃	—	8	2	no	—
424	Q₈×C₇₃	—	8	2	no	—
425	Q₈×C₇₃	—	8	1	no	—
426	D₄×C₇₃	—	2	4	no	—
427	D₄×C₇₃	—	2	2	no	—
428	D₄×C₇₃	—	2	2	no	—
429	D₄×C₇₃	—	2	2	no	—
430	D₄×C₇₃	—	2	2	no	—
431	D₄×C₇₃	—	2	2	no	—
432	D₄×C₇₃	—	4	1	no	—
433	D₄×C₇₃	—	4	2	no	—
434	D₄×C₇₃	—	4	4	no	—
435	D₄×C₇₃	—	8	1	no	—
436	D₄×C₇₃	—	8	2	no	—
437	D₄×C₇₃	—	8	2	no	—
438	D₄×C₇₃	—	8	1	no	—
439	D₄×C₇₃	—	8	2	no	—
440	D₄×C₇₃	—	8	1	no	—
441	D₄×C₇₃	—	8	2	no	—
442	D₄×C₇₃	—	8	2	no	—
443	D₄×C₇₃	—	8	2	no	—
444	C₂×C₄×C₇₃	—	2	2	no	—
445	C₂×C₄×C₇₃	—	2	2	no	—
446	C₂×C₄×C₇₃	—	2	2	no	—
447	C₂×C₄×C₇₃	—	2	2	no	—
448	C₂×C₄×C₇₃	—	2	1	no	—
449	C₂×C₄×C₇₃	—	2	1	no	—
450	C₂×C₄×C₇₃	—	2	2	no	—
451	C₂×C₄×C₇₃	—	2	2	no	—
452	C₂×C₄×C₇₃	—	2	2	no	—
453	C₂×C₄×C₇₃	—	2	2	no	—
454	C₂×C₄×C₇₃	—	2	1	no	—
455	C₂×C₄×C₇₃	—	4	1	no	—
456	C₂×C₄×C₇₃	—	4	2	no	—
457	C₂×C₄×C₇₃	—	8	2	no	—
458	C₂×C₄×C₇₃	—	8	2	no	—
459	C₂×C₄×C₇₃	—	8	2	no	—
460	C₂×C₄×C₇₃	—	8	2	no	—
461	C₂×C₄×C₇₃	—	8	1	no	—
462	C₂×C₄×C₇₃	—	8	2	no	—
463	C₂×C₄×C₇₃	—	8	2	no	—
464	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
465	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
466	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
467	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
468	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
469	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
470	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
471	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
472	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
473	C₈×C₇₃	—	2	2	no	—
474	C₈×C₇₃	—	2	2	no	—
475	C₈×C₇₃	—	2	2	no	—
476	C₈×C₇₃	—	2	2	no	—
477	C₂²×C₇₃	—	2	1	no	—
478	C₂²×C₇₃	—	2	1	no	—
479	C₂²×C₇₃	—	2	2	no	—
480	C₂²×C₇₃	—	2	2	no	—
481	C₂²×C₇₃	—	2	2	no	—
482	C₂²×C₇₃	—	4	1	no	—
483	C₂²×C₇₃	—	4	2	no	—
484	C₂²×C₇₃	—	4	2	no	—
485	C₂²×C₇₃	—	4	2	no	—
486	C₂²×C₇₃	—	4	2	no	—
487	C₂²×C₇₃	—	4	1	no	—
488	C₂²×C₇₃	—	4	2	no	—
489	C₂²×C₇₃	—	4	2	no	—
490	C₂²×C₇₃	—	4	1	no	—
491	C₂²×C₇₃	—	16	2	no	—
492	C₂²×C₇₃	—	16	4	no	—
493	C₂²×C₇₃	#577	1	2	yes	—
494	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
495	C₄×C₇₃	—	2	1	no	—
496	C₄×C₇₃	—	2	1	no	—
497	C₄×C₇₃	—	2	2	no	—
498	C₄×C₇₃	—	2	2	no	—
499	C₄×C₇₃	—	2	1	no	—
500	C₄×C₇₃	—	2	1	no	—
501	C₄×C₇₃	—	2	1	no	—
502	C₄×C₇₃	—	2	2	no	—
503	C₄×C₇₃	—	4	1	no	—
504	C₄×C₇₃	—	4	2	no	—
505	C₄×C₇₃	—	4	2	no	—
506	C₄×C₇₃	—	4	2	no	—
507	C₄×C₇₃	—	4	1	no	—
508	C₄×C₇₃	—	4	2	no	—
509	C₄×C₇₃	—	4	1	no	—
510	C₄×C₇₃	#585	1	2	yes	—
511	#62602	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
512	C₂×C₇₃	—	2	2	no	—
513	C₂×C₇₃	—	4	2	no	—
514	C₂×C₇₃	—	8	1	no	—
515	C₂×C₇₃	—	8	2	no	—
516	C₂×C₇₃	—	8	2	no	—
517	C₂×C₇₃	#3500	1	1	yes	characteristic
518	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
519	C₂×C₇₃	#3585	1	1	yes	characteristic
520	#3558	C₂×C₇₃	1	1	yes	characteristic, complemented
521	#3552	C₂×C₇₃	1	1	yes	characteristic, complemented
522	#3373	C₂×C₇₃	1	2	yes	complemented
523	#3371	C₂×C₇₃	1	2	yes	complemented
524	#3318	C₂×C₇₃	1	2	yes	complemented
525	#3316	C₂×C₇₃	1	2	yes	complemented
526	#3311	C₂×C₇₃	1	2	yes	complemented
527	#3306	C₂×C₇₃	1	2	yes	complemented
528	#3301	C₂×C₇₃	1	2	yes	complemented
529	#3295	C₂×C₇₃	1	2	yes	complemented
530	#3244	C₂×C₇₃	1	2	yes	complemented
531	#3227	C₂×C₇₃	1	1	yes	characteristic, complemented
532	#3224	C₂×C₇₃	1	2	yes	complemented
533	#3211	C₂×C₇₃	1	1	yes	characteristic, complemented
534	#3180	C₂×C₇₃	1	1	yes	characteristic, complemented
535	#3173	C₂×C₇₃	1	2	yes	complemented
536	#3136	C₂×C₇₃	1	2	yes	complemented
537	C₂×#489	C₂×C₇₃	1	1	yes	characteristic, complemented
538	#2968	C₂×C₇₃	1	1	yes	characteristic, complemented
539	C₇₃	#62602	1	1	yes	characteristic, direct product factor, Sylow
540	#563	—	2	2	no	—
541	#562	—	2	1	no	—
542	H(3,𝔽₄)	—	2	1	no	—
543	#559	C₂²×C₇₃	1	2	yes	—
544	#557	C₂²×C₇₃	1	1	yes	characteristic, complemented
545	#556	C₂²×C₇₃	1	1	yes	characteristic, complemented
546	#554	C₂²×C₇₃	1	2	yes	complemented
547	#553	C₂²×C₇₃	1	2	yes	complemented
548	D₄×Q₈	—	2	1	no	—
549	D₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
550	#548	—	2	1	no	—
551	#548	C₂²×C₇₃	1	2	yes	—
552	#547	C₂²×C₇₃	1	1	yes	characteristic, complemented
553	#546	—	2	2	no	—
554	#546	C₂²×C₇₃	1	2	yes	—
555	D₄²	C₂²×C₇₃	1	2	yes	—
556	#544	C₂²×C₇₃	1	2	yes	complemented
557	#542	C₂²×C₇₃	1	2	yes	—
558	#542	C₂²×C₇₃	1	2	yes	complemented
559	#541	—	2	1	no	—
560	#539	—	2	2	no	—
561	#538	—	2	2	no	—
562	#538	—	2	1	no	—
563	#536	—	2	1	no	—
564	#535	C₂²×C₇₃	1	2	yes	—
565	#534	—	2	1	no	—
566	#532	C₂²×C₇₃	1	1	yes	characteristic
567	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
568	#529	C₂²×C₇₃	1	1	yes	characteristic
569	#529	C₂²×C₇₃	1	1	yes	characteristic, complemented
570	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
571	#501	C₂²×C₇₃	1	1	yes	characteristic, complemented
572	#498	C₂²×C₇₃	1	2	yes	complemented
573	#496	C₂²×C₇₃	1	1	yes	characteristic, complemented
574	#495	C₂²×C₇₃	1	2	yes	complemented
575	#490	C₂²×C₇₃	1	2	yes	—
576	#490	C₂²×C₇₃	1	1	yes	characteristic, complemented
577	#489	C₂²×C₇₃	1	2	yes	complemented
578	#489	C₂²×C₇₃	1	2	yes	complemented
579	#489	C₂²×C₇₃	1	2	yes	complemented
580	#489	C₂²×C₇₃	1	2	yes	complemented
581	#489	C₂²×C₇₃	1	2	yes	complemented
582	#489	C₂²×C₇₃	1	1	yes	characteristic, complemented
583	#488	C₂²×C₇₃	1	2	yes	complemented
584	#488	C₂²×C₇₃	1	2	yes	complemented
585	#486	C₂²×C₇₃	1	2	yes	—
586	#486	C₂²×C₇₃	1	2	yes	complemented
587	#485	C₂²×C₇₃	1	2	yes	complemented
588	#483	C₂²×C₇₃	1	2	yes	complemented
589	#482	C₂²×C₇₃	1	2	yes	—
590	#481	C₂²×C₇₃	1	2	yes	—
591	#481	C₂²×C₇₃	1	2	yes	complemented
592	#481	C₂²×C₇₃	1	2	yes	complemented
593	#479	C₂²×C₇₃	1	2	yes	complemented
594	#478	C₂²×C₇₃	1	2	yes	complemented
595	#476	C₂²×C₇₃	1	2	yes	complemented
596	#476	C₂²×C₇₃	1	2	yes	complemented
597	#476	C₂²×C₇₃	1	2	yes	complemented
598	#475	C₂²×C₇₃	1	2	yes	complemented
599	#470	C₂²×C₇₃	1	2	yes	complemented
600	#469	C₂²×C₇₃	1	2	yes	—
601	#466	C₂²×C₇₃	1	2	yes	complemented
602	#465	C₂²×C₇₃	1	2	yes	—
603	#465	C₂²×C₇₃	1	2	yes	complemented
604	#465	C₂²×C₇₃	1	2	yes	complemented
605	#464	C₂²×C₇₃	1	2	yes	complemented
606	#464	C₂²×C₇₃	1	2	yes	complemented
607	#463	C₂²×C₇₃	1	2	yes	complemented
608	#463	C₂²×C₇₃	1	2	yes	complemented
609	#460	C₂²×C₇₃	1	2	yes	—
610	#459	C₂²×C₇₃	1	2	yes	—
611	#452	C₂²×C₇₃	1	2	yes	complemented
612	#451	C₂²×C₇₃	1	1	yes	characteristic, complemented
613	#450	C₂²×C₇₃	1	1	yes	characteristic
614	#450	C₂²×C₇₃	1	2	yes	complemented
615	#449	C₂²×C₇₃	1	2	yes	complemented
616	#448	C₂²×C₇₃	1	1	yes	characteristic, complemented
617	#447	C₂²×C₇₃	1	1	yes	characteristic
618	#447	C₂²×C₇₃	1	2	yes	complemented
619	#446	C₂²×C₇₃	1	2	yes	complemented
620	#442	C₂²×C₇₃	1	2	yes	complemented
621	#442	C₂²×C₇₃	1	2	yes	complemented
622	#441	C₂²×C₇₃	1	2	yes	complemented
623	#440	C₂²×C₇₃	1	2	yes	complemented
624	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	complemented
625	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	complemented
626	#435	C₂²×C₇₃	1	2	yes	complemented
627	#435	C₂²×C₇₃	1	2	yes	complemented
628	C₈×D₄	C₂²×C₇₃	1	2	yes	complemented
629	#433	C₂²×C₇₃	1	2	yes	complemented
630	#431	C₂²×C₇₃	1	1	yes	characteristic, complemented
631	#418	C₂²×C₇₃	1	2	yes	complemented
632	#417	C₂²×C₇₃	1	2	yes	complemented
633	#416	C₂²×C₇₃	1	2	yes	complemented
634	C₂×#103	C₂²×C₇₃	1	2	yes	complemented
635	C₂×#102	C₂²×C₇₃	1	2	yes	—
636	C₂×#102	C₂²×C₇₃	1	2	yes	complemented
637	#405	C₂²×C₇₃	1	2	yes	complemented
638	C₂×#97	C₂²×C₇₃	1	1	yes	characteristic, complemented
639	C₂×#41	—	2	1	no	—
640	C₂×#41	—	2	1	no	—
641	C₂×#41	C₂³×C₇₃	1	2	yes	—
642	C₂²×Q₈	—	2	1	no	—
643	C₂²×Q₈	—	2	1	no	—
644	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
645	C₂²×D₄	—	2	2	no	—
646	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
647	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
648	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
649	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
650	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
651	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
652	C₂×D₈	C₂³×C₇₃	1	2	yes	—
653	C₂×D₈	C₂³×C₇₃	1	2	yes	—
654	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
655	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
656	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
657	C₄⋊Q₈	—	2	1	no	—
658	C₄⋊Q₈	—	2	2	no	—
659	C₄⋊Q₈	—	2	1	no	—
660	C₄⋊Q₈	—	2	1	no	—
661	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
662	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
663	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
664	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
665	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
666	#127	C₂³×C₇₃	1	1	yes	characteristic
667	#127	C₂³×C₇₃	1	2	yes	—
668	#126	—	2	2	no	—
669	#126	—	2	2	no	—
670	#126	—	2	2	no	—
671	#126	—	2	2	no	—
672	#126	—	2	1	no	—
673	#126	D₄×C₇₃	1	2	yes	—
674	#125	—	2	2	no	—
675	#125	—	2	2	no	—
676	#125	—	2	2	no	—
677	#125	D₄×C₇₃	1	1	yes	characteristic
678	#125	C₂³×C₇₃	1	1	yes	characteristic
679	#125	C₂³×C₇₃	1	2	yes	—
680	#124	—	2	2	no	—
681	#124	—	2	1	no	—
682	#124	—	2	2	no	—
683	#124	—	2	2	no	—
684	#124	—	2	2	no	—
685	#124	—	2	1	no	—
686	#124	—	2	1	no	—
687	#124	—	2	1	no	—
688	#124	D₄×C₇₃	1	1	yes	characteristic
689	#124	C₂³×C₇₃	1	2	yes	—
690	#124	C₂³×C₇₃	1	2	yes	—
691	#124	C₂³×C₇₃	1	1	yes	characteristic
692	#124	C₂³×C₇₃	1	2	yes	—
693	#123	—	2	1	no	—
694	#123	—	2	2	no	—
695	#123	—	2	2	no	—
696	#123	—	2	2	no	—
697	#123	—	2	2	no	—
698	#123	—	2	2	no	—
699	#123	—	2	2	no	—
700	#123	—	2	2	no	—
701	#123	D₄×C₇₃	1	2	yes	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	—	2	2	no	—
704	C₂²⋊Q₈	—	2	1	no	—
705	C₂²⋊Q₈	—	2	1	no	—
706	C₂²⋊Q₈	—	2	2	no	—
707	C₂²⋊Q₈	—	2	2	no	—
708	C₂²⋊Q₈	—	2	2	no	—
709	C₂²⋊Q₈	—	2	2	no	—
710	C₂²⋊Q₈	—	2	2	no	—
711	C₂²⋊Q₈	—	2	2	no	—
712	C₂²⋊Q₈	D₄×C₇₃	1	1	yes	characteristic
713	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
714	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
715	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
716	#121	—	2	2	no	—
717	#121	—	2	2	no	—
718	#121	—	2	1	no	—
719	#121	—	2	2	no	—
720	#121	—	2	2	no	—
721	#121	—	2	2	no	—
722	#121	—	2	2	no	—
723	#121	D₄×C₇₃	1	1	yes	characteristic
724	#121	C₂³×C₇₃	1	1	yes	characteristic
725	#121	C₂³×C₇₃	1	2	yes	—
726	#121	C₂³×C₇₃	1	2	yes	—
727	#121	C₂³×C₇₃	1	2	yes	—
728	#120	—	2	2	no	—
729	#120	—	2	2	no	—
730	#120	—	2	2	no	—
731	#120	—	2	2	no	—
732	#120	—	2	2	no	—
733	C₄×Q₈	—	2	1	no	—
734	C₄×Q₈	—	2	1	no	—
735	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
736	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
737	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
738	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
739	C₄×D₄	—	2	2	no	—
740	C₄×D₄	—	2	1	no	—
741	C₄×D₄	—	2	2	no	—
742	C₄×D₄	—	2	2	no	—
743	C₄×D₄	—	2	2	no	—
744	C₄×D₄	—	2	1	no	—
745	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
746	C₄×D₄	C₂³×C₇₃	1	2	yes	—
747	C₄×D₄	C₂³×C₇₃	1	2	yes	—
748	C₄×D₄	C₂³×C₇₃	1	2	yes	—
749	C₄×D₄	C₂³×C₇₃	1	2	yes	—
750	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
751	#117	—	2	1	no	—
752	#117	C₂³×C₇₃	1	2	yes	—
753	#117	C₂³×C₇₃	1	2	yes	—
754	C₂×C₄⋊C₄	—	2	1	no	—
755	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
756	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
757	C₂×C₂²⋊C₄	—	2	1	no	—
758	C₂×C₂²⋊C₄	—	2	1	no	—
759	C₂×C₂²⋊C₄	—	2	2	no	—
760	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
761	#107	C₂³×C₇₃	1	2	yes	—
762	#106	C₂³×C₇₃	1	2	yes	—
763	#106	C₂³×C₇₃	1	2	yes	—
764	#106	C₂³×C₇₃	1	2	yes	—
765	#106	C₂³×C₇₃	1	2	yes	—
766	#106	C₂³×C₇₃	1	2	yes	—
767	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
768	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
769	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
770	#103	C₂³×C₇₃	1	2	yes	—
771	#103	C₂³×C₇₃	1	2	yes	—
772	#103	C₂³×C₇₃	1	2	yes	—
773	#103	C₂³×C₇₃	1	2	yes	—
774	#103	C₂³×C₇₃	1	2	yes	—
775	#103	C₂³×C₇₃	1	2	yes	—
776	#103	C₂³×C₇₃	1	2	yes	—
777	#102	C₂³×C₇₃	1	2	yes	—
778	#102	C₂³×C₇₃	1	2	yes	—
779	#102	C₂³×C₇₃	1	2	yes	—
780	#102	C₂³×C₇₃	1	2	yes	—
781	#102	C₂³×C₇₃	1	2	yes	—
782	#102	C₂³×C₇₃	1	2	yes	—
783	#102	C₂³×C₇₃	1	2	yes	—
784	#102	C₂³×C₇₃	1	2	yes	—
785	#102	C₂³×C₇₃	1	2	yes	—
786	#102	C₂³×C₇₃	1	2	yes	—
787	#102	C₂³×C₇₃	1	2	yes	—
788	#102	C₂³×C₇₃	1	2	yes	—
789	#102	C₂³×C₇₃	1	2	yes	—
790	C₂²⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
791	C₂²⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
792	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
793	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
794	#97	C₂³×C₇₃	1	1	yes	characteristic
795	#97	C₂³×C₇₃	1	1	yes	characteristic
796	#97	C₂³×C₇₃	1	2	yes	—
797	#97	C₂³×C₇₃	1	2	yes	—
798	C₄×C₈	C₂³×C₇₃	1	2	yes	—
799	C₄×C₈	C₂³×C₇₃	1	2	yes	—
800	C₂⁴	—	2	1	no	—
801	C₂⁴	—	2	2	no	—
802	#41	—	4	2	no	—
803	#41	—	4	2	no	—
804	#41	—	8	2	no	—
805	#41	—	8	2	no	—
806	C₂×Q₈	—	2	1	no	—
807	C₂×Q₈	—	2	1	no	—
808	C₂×Q₈	—	2	2	no	—
809	C₂×Q₈	—	2	1	no	—
810	C₂×Q₈	—	2	1	no	—
811	C₂×Q₈	—	2	2	no	—
812	C₂×Q₈	—	4	2	no	—
813	C₂×Q₈	—	8	2	no	—
814	C₂×Q₈	—	8	2	no	—
815	C₂×Q₈	C₂×D₄×C₇₃	1	1	yes	characteristic
816	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
817	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
818	C₂×D₄	—	2	1	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	2	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	1	no	—
825	C₂×D₄	—	2	1	no	—
826	C₂×D₄	—	2	1	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	—	4	2	no	—
831	C₂×D₄	—	4	2	no	—
832	C₂×D₄	—	8	4	no	—
833	C₂×D₄	C₂×D₄×C₇₃	1	2	yes	—
834	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
835	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
836	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
837	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	1	no	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	2	2	no	—
844	C₂²×C₄	—	2	2	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
847	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
848	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
849	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
850	Q₁₆	—	4	2	no	—
851	SD₁₆	—	4	2	no	—
852	SD₁₆	—	4	2	no	—
853	SD₁₆	—	4	2	no	—
854	D₈	—	4	2	no	—
855	D₈	—	4	2	no	—
856	M₁₆	—	4	2	no	—
857	C₂×C₈	—	4	2	no	—
858	C₂×C₈	—	4	2	no	—
859	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
860	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
861	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
862	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
863	C₄⋊C₄	—	2	1	no	—
864	C₄⋊C₄	—	2	2	no	—
865	C₄⋊C₄	—	2	1	no	—
866	C₄⋊C₄	—	2	2	no	—
867	C₄⋊C₄	—	2	2	no	—
868	C₄⋊C₄	—	2	1	no	—
869	C₄⋊C₄	—	2	1	no	—
870	C₄⋊C₄	—	2	2	no	—
871	C₄⋊C₄	—	2	1	no	—
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	1	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	1	no	—
880	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
881	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
882	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
883	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
884	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
885	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
886	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
887	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
888	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
889	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
890	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
891	C₂²⋊C₄	—	2	2	no	—
892	C₂²⋊C₄	—	2	2	no	—
893	C₂²⋊C₄	—	2	1	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	1	no	—
901	C₂²⋊C₄	—	2	1	no	—
902	C₂²⋊C₄	—	2	2	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	1	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	1	no	—
911	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
912	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
913	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
914	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
915	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
916	C₄²	—	2	1	no	—
917	C₄²	—	2	2	no	—
918	C₄²	—	2	2	no	—
919	C₄²	—	2	2	no	—
920	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
921	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
922	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
923	C₄²	C₂⁴×C₇₃	1	2	yes	—
924	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
925	C₂³	—	2	1	no	—
926	C₂³	—	2	2	no	—
927	C₂³	—	2	2	no	—
928	C₂³	—	4	2	no	—
929	C₂³	—	8	1	no	—
930	C₂³	—	8	2	no	—
931	C₂³	—	8	2	no	—
932	C₂³	—	8	1	no	—
933	C₂³	—	8	2	no	—
934	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
935	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
936	Q₈	—	2	2	no	—
937	Q₈	—	2	2	no	—
938	Q₈	—	2	2	no	—
939	Q₈	—	4	1	no	—
940	Q₈	—	4	2	no	—
941	Q₈	—	4	2	no	—
942	Q₈	—	8	1	no	—
943	Q₈	—	8	2	no	—
944	Q₈	—	8	2	no	—
945	Q₈	—	8	1	no	—
946	D₄	—	2	4	no	—
947	D₄	—	2	2	no	—
948	D₄	—	2	2	no	—
949	D₄	—	2	2	no	—
950	D₄	—	2	2	no	—
951	D₄	—	2	2	no	—
952	D₄	—	4	1	no	—
953	D₄	—	4	4	no	—
954	D₄	—	4	2	no	—
955	D₄	—	8	2	no	—
956	D₄	—	8	1	no	—
957	D₄	—	8	2	no	—
958	D₄	—	8	1	no	—
959	D₄	—	8	1	no	—
960	D₄	—	8	2	no	—
961	D₄	—	8	2	no	—
962	D₄	—	8	2	no	—
963	D₄	—	8	2	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	4	1	no	—
976	C₂×C₄	—	4	2	no	—
977	C₂×C₄	—	8	2	no	—
978	C₂×C₄	—	8	2	no	—
979	C₂×C₄	—	8	2	no	—
980	C₂×C₄	—	8	2	no	—
981	C₂×C₄	—	8	1	no	—
982	C₂×C₄	—	8	2	no	—
983	C₂×C₄	—	8	2	no	—
984	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
985	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
986	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
987	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
988	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
989	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
990	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
991	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
992	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
993	C₈	—	2	2	no	—
994	C₈	—	2	2	no	—
995	C₈	—	2	2	no	—
996	C₈	—	2	2	no	—
997	C₂²	—	2	1	no	—
998	C₂²	—	2	1	no	—
999	C₂²	—	2	2	no	—
1000	C₂²	—	2	2	no	—
1001	C₂²	—	2	2	no	—
1002	C₂²	—	4	2	no	—
1003	C₂²	—	4	2	no	—
1004	C₂²	—	4	1	no	—
1005	C₂²	—	4	2	no	—
1006	C₂²	—	4	2	no	—
1007	C₂²	—	4	1	no	—
1008	C₂²	—	4	1	no	—
1009	C₂²	—	4	2	no	—
1010	C₂²	—	4	2	no	—
1011	C₂²	—	16	2	no	—
1012	C₂²	—	16	4	no	—
1013	C₂²	#577×C₇₃	1	2	yes	—
1014	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1015	C₄	—	2	2	no	—
1016	C₄	—	2	1	no	—
1017	C₄	—	2	1	no	—
1018	C₄	—	2	1	no	—
1019	C₄	—	2	2	no	—
1020	C₄	—	2	1	no	—
1021	C₄	—	2	1	no	—
1022	C₄	—	2	2	no	—
1023	C₄	—	4	2	no	—
1024	C₄	—	4	1	no	—
1025	C₄	—	4	2	no	—
1026	C₄	—	4	1	no	—
1027	C₄	—	4	1	no	—
1028	C₄	—	4	2	no	—
1029	C₄	—	4	2	no	—
1030	C₄	#585×C₇₃	1	2	yes	—
1031	C₂	—	2	2	no	—
1032	C₂	—	4	2	no	—
1033	C₂	—	8	2	no	—
1034	C₂	—	8	2	no	—
1035	C₂	—	8	1	no	—
1036	C₂	C₇₃×#3500	1	1	yes	characteristic
1037	C₂	C₂×#577×C₇₃	1	1	yes	characteristic
1038	C₂	C₇₃×#3585	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×#3558	C₂	semidirect
2. C₇₃×#3552	C₂	semidirect
3. C₇₃×#3373	C₂	semidirect
4. C₇₃×#3371	C₂	semidirect
5. C₇₃×#3318	C₂	semidirect
6. C₇₃×#3316	C₂	semidirect
7. C₇₃×#3311	C₂	semidirect
8. C₇₃×#3306	C₂	semidirect
9. C₇₃×#3301	C₂	semidirect
10. C₇₃×#3295	C₂	semidirect
11. C₇₃×#3244	C₂	semidirect
12. C₇₃×#3227	C₂	semidirect
13. C₇₃×#3224	C₂	semidirect
14. C₇₃×#3211	C₂	semidirect
15. C₇₃×#3180	C₂	semidirect
16. C₇₃×#3173	C₂	semidirect
17. C₇₃×#3136	C₂	semidirect
18. C₂×#489×C₇₃	C₂	semidirect
19. C₇₃×#2968	C₂	semidirect
24. #557×C₇₃	C₂²	semidirect
25. #556×C₇₃	C₂²	semidirect
26. #554×C₇₃	C₂²	semidirect
27. #553×C₇₃	C₂²	semidirect
29. D₄×Q₈×C₇₃	C₂²	semidirect
32. #547×C₇₃	C₂²	semidirect
36. #544×C₇₃	C₂²	semidirect
38. #542×C₇₃	C₂²	semidirect
47. C₂×C₄⋊Q₈×C₇₃	C₂²	semidirect
49. #529×C₇₃	C₂²	semidirect
51. #501×C₇₃	C₂²	semidirect
52. #498×C₇₃	C₂²	semidirect
53. #496×C₇₃	C₂²	semidirect
54. #495×C₇₃	C₂²	semidirect
56. #490×C₇₃	C₂²	semidirect
57. #489×C₇₃	C₂²	semidirect
58. #489×C₇₃	C₂²	semidirect
59. #489×C₇₃	C₂²	semidirect
60. #489×C₇₃	C₂²	semidirect
61. #489×C₇₃	C₂²	semidirect
62. #489×C₇₃	C₂²	semidirect
63. #488×C₇₃	C₂²	semidirect
64. #488×C₇₃	C₂²	semidirect
66. #486×C₇₃	C₂²	semidirect
67. #485×C₇₃	C₂²	semidirect
68. #483×C₇₃	C₂²	semidirect
71. #481×C₇₃	C₂²	semidirect
72. #481×C₇₃	C₂²	semidirect
73. #479×C₇₃	C₂²	semidirect
74. #478×C₇₃	C₂²	semidirect
75. #476×C₇₃	C₂²	semidirect
76. #476×C₇₃	C₂²	semidirect
77. #476×C₇₃	C₂²	semidirect
78. #475×C₇₃	C₂²	semidirect
79. #470×C₇₃	C₂²	semidirect
81. #466×C₇₃	C₂²	semidirect
83. #465×C₇₃	C₂²	semidirect
84. #465×C₇₃	C₂²	semidirect
85. #464×C₇₃	C₂²	semidirect
86. #464×C₇₃	C₂²	semidirect
87. #463×C₇₃	C₂²	semidirect
88. #463×C₇₃	C₂²	semidirect
91. #452×C₇₃	C₂²	semidirect
92. #451×C₇₃	C₂²	semidirect
94. #450×C₇₃	C₂²	semidirect
95. #449×C₇₃	C₂²	semidirect
96. #448×C₇₃	C₂²	semidirect
98. #447×C₇₃	C₂²	semidirect
99. #446×C₇₃	C₂²	semidirect
100. #442×C₇₃	C₂²	semidirect
101. #442×C₇₃	C₂²	semidirect
102. #441×C₇₃	C₂²	semidirect
103. #440×C₇₃	C₂²	semidirect
104. C₄×SD₁₆×C₇₃	C₂²	semidirect
105. C₄×SD₁₆×C₇₃	C₂²	semidirect
106. #435×C₇₃	C₂²	semidirect
107. #435×C₇₃	C₂²	semidirect
108. C₈×D₄×C₇₃	C₂²	semidirect
109. #433×C₇₃	C₂²	semidirect
110. #431×C₇₃	C₂²	semidirect
111. #418×C₇₃	C₂²	semidirect
112. #417×C₇₃	C₂²	semidirect
113. #416×C₇₃	C₂²	semidirect
114. C₂×#103×C₇₃	C₂²	semidirect
116. C₂×#102×C₇₃	C₂²	semidirect
117. #405×C₇₃	C₂²	semidirect
118. C₂×#97×C₇₃	C₂²	semidirect
511. #62602	C₇₃	direct (N × H)
520. #3558	C₂×C₇₃	semidirect
521. #3552	C₂×C₇₃	semidirect
522. #3373	C₂×C₇₃	semidirect
523. #3371	C₂×C₇₃	semidirect
524. #3318	C₂×C₇₃	semidirect
525. #3316	C₂×C₇₃	semidirect
526. #3311	C₂×C₇₃	semidirect
527. #3306	C₂×C₇₃	semidirect
528. #3301	C₂×C₇₃	semidirect
529. #3295	C₂×C₇₃	semidirect
530. #3244	C₂×C₇₃	semidirect
531. #3227	C₂×C₇₃	semidirect
532. #3224	C₂×C₇₃	semidirect
533. #3211	C₂×C₇₃	semidirect
534. #3180	C₂×C₇₃	semidirect
535. #3173	C₂×C₇₃	semidirect
536. #3136	C₂×C₇₃	semidirect
537. C₂×#489	C₂×C₇₃	semidirect
538. #2968	C₂×C₇₃	semidirect
539. C₇₃	#62602	direct (N × H)
544. #557	C₂²×C₇₃	semidirect
545. #556	C₂²×C₇₃	semidirect
546. #554	C₂²×C₇₃	semidirect
547. #553	C₂²×C₇₃	semidirect
549. D₄×Q₈	C₂²×C₇₃	semidirect
552. #547	C₂²×C₇₃	semidirect
556. #544	C₂²×C₇₃	semidirect
558. #542	C₂²×C₇₃	semidirect
567. C₂×C₄⋊Q₈	C₂²×C₇₃	semidirect
569. #529	C₂²×C₇₃	semidirect
571. #501	C₂²×C₇₃	semidirect
572. #498	C₂²×C₇₃	semidirect
573. #496	C₂²×C₇₃	semidirect
574. #495	C₂²×C₇₃	semidirect
576. #490	C₂²×C₇₃	semidirect
577. #489	C₂²×C₇₃	semidirect
578. #489	C₂²×C₇₃	semidirect
579. #489	C₂²×C₇₃	semidirect
580. #489	C₂²×C₇₃	semidirect
581. #489	C₂²×C₇₃	semidirect
582. #489	C₂²×C₇₃	semidirect
583. #488	C₂²×C₇₃	semidirect
584. #488	C₂²×C₇₃	semidirect
586. #486	C₂²×C₇₃	semidirect
587. #485	C₂²×C₇₃	semidirect
588. #483	C₂²×C₇₃	semidirect
591. #481	C₂²×C₇₃	semidirect
592. #481	C₂²×C₇₃	semidirect
593. #479	C₂²×C₇₃	semidirect
594. #478	C₂²×C₇₃	semidirect
595. #476	C₂²×C₇₃	semidirect
596. #476	C₂²×C₇₃	semidirect
597. #476	C₂²×C₇₃	semidirect
598. #475	C₂²×C₇₃	semidirect
599. #470	C₂²×C₇₃	semidirect
601. #466	C₂²×C₇₃	semidirect
603. #465	C₂²×C₇₃	semidirect
604. #465	C₂²×C₇₃	semidirect
605. #464	C₂²×C₇₃	semidirect
606. #464	C₂²×C₇₃	semidirect
607. #463	C₂²×C₇₃	semidirect
608. #463	C₂²×C₇₃	semidirect
611. #452	C₂²×C₇₃	semidirect
612. #451	C₂²×C₇₃	semidirect
614. #450	C₂²×C₇₃	semidirect
615. #449	C₂²×C₇₃	semidirect
616. #448	C₂²×C₇₃	semidirect
618. #447	C₂²×C₇₃	semidirect
619. #446	C₂²×C₇₃	semidirect
620. #442	C₂²×C₇₃	semidirect
621. #442	C₂²×C₇₃	semidirect
622. #441	C₂²×C₇₃	semidirect
623. #440	C₂²×C₇₃	semidirect
624. C₄×SD₁₆	C₂²×C₇₃	semidirect
625. C₄×SD₁₆	C₂²×C₇₃	semidirect
626. #435	C₂²×C₇₃	semidirect
627. #435	C₂²×C₇₃	semidirect
628. C₈×D₄	C₂²×C₇₃	semidirect
629. #433	C₂²×C₇₃	semidirect
630. #431	C₂²×C₇₃	semidirect
631. #418	C₂²×C₇₃	semidirect
632. #417	C₂²×C₇₃	semidirect
633. #416	C₂²×C₇₃	semidirect
634. C₂×#103	C₂²×C₇₃	semidirect
636. C₂×#102	C₂²×C₇₃	semidirect
637. #405	C₂²×C₇₃	semidirect
638. 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×#3558	2
C₇₃×#3552	2
C₇₃×#3373	2
C₇₃×#3371	2
C₇₃×#3318	2
C₇₃×#3316	2
C₇₃×#3311	2
C₇₃×#3306	2
C₇₃×#3301	2
C₇₃×#3295	2
C₇₃×#3244	2
C₇₃×#3227	2
C₇₃×#3224	2
C₇₃×#3211	2
C₇₃×#3180	2
C₇₃×#3173	2
C₇₃×#3136	2
C₂×#489×C₇₃	2
C₇₃×#2968	2
#62602	73

Subgroups — C73×#62602 #32972006

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#62602 #32972006