Subgroups — C₇₃×#59651 #32969055

Order 18688.

2376 conjugacy classes of subgroups.

The subgroup lattice has 1084 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#552×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₄×Q₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#2716	C₂	1	2	yes	maximal, complemented
4	C₇₃×#2690	C₂	1	2	yes	maximal, complemented
5	C₇₃×#2560	C₂	1	2	yes	maximal, complemented
6	C₇₃×#2550	C₂	1	2	yes	maximal, complemented
7	C₇₃×#2489	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#2488	C₂	1	2	yes	maximal, complemented
9	C₇₃×#2486	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₃×#2453	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#2446	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₃×#2438	C₂	1	2	yes	maximal, complemented
13	C₇₃×#2429	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#2425	C₂	1	2	yes	maximal
15	C₇₃×#2415	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇₃×#2409	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#2409	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇₃×#2362	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#2359	C₂	1	2	yes	maximal, complemented
20	Q₈×C₂²⋊C₄×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₂²⋊Q₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#121×C₇₃	C₂	1	1	yes	maximal, characteristic
23	C₂×#391×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×Q₈×C₇₃	C₂²	1	1	yes	characteristic
25	C₂³×Q₈×C₇₃	C₂²	1	1	yes	characteristic
26	#552×C₇₃	—	2	8	no	—
27	D₄×Q₈×C₇₃	—	2	8	no	—
28	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
29	C₂×C₄⋊Q₈×C₇₃	C₂²	1	2	yes	—
30	C₂×#126×C₇₃	C₂²	1	2	yes	—
31	C₂×#125×C₇₃	C₂²	1	1	yes	characteristic
32	C₂×#125×C₇₃	C₂²	1	2	yes	—
33	C₂×#123×C₇₃	C₂²	1	2	yes	—
34	C₂×#123×C₇₃	C₂²	1	2	yes	—
35	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
36	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
37	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
38	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
42	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
48	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
50	C₂×#117×C₇₃	C₂²	1	2	yes	—
51	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
52	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
53	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
54	#400×C₇₃	C₂²	1	2	yes	—
55	#400×C₇₃	C₂²	1	2	yes	—
56	#400×C₇₃	C₂²	1	2	yes	—
57	#398×C₇₃	C₂²	1	2	yes	—
58	#398×C₇₃	C₂²	1	2	yes	—
59	#398×C₇₃	C₂²	1	2	yes	—
60	#398×C₇₃	C₂²	1	2	yes	—
61	#397×C₇₃	C₂²	1	2	yes	—
62	#397×C₇₃	C₂²	1	2	yes	—
63	#397×C₇₃	C₂²	1	2	yes	—
64	#396×C₇₃	C₂²	1	2	yes	—
65	#395×C₇₃	C₂²	1	2	yes	—
66	#395×C₇₃	C₂²	1	2	yes	—
67	#394×C₇₃	C₂²	1	2	yes	—
68	#393×C₇₃	C₂²	1	2	yes	—
69	#393×C₇₃	C₂²	1	2	yes	—
70	#391×C₇₃	C₂²	1	1	yes	characteristic
71	#391×C₇₃	C₂²	1	1	yes	characteristic
72	#391×C₇₃	C₂²	1	1	yes	characteristic
73	#391×C₇₃	C₂²	1	1	yes	characteristic
74	#391×C₇₃	C₂²	1	1	yes	characteristic
75	#391×C₇₃	C₂²	1	2	yes	—
76	#391×C₇₃	C₂²	1	2	yes	—
77	#391×C₇₃	C₂²	1	2	yes	—
78	#391×C₇₃	C₂²	1	1	yes	characteristic
79	#391×C₇₃	C₂²	1	2	yes	—
80	#391×C₇₃	C₂²	1	1	yes	characteristic
81	#390×C₇₃	C₂²	1	1	yes	characteristic
82	#389×C₇₃	C₂²	1	1	yes	characteristic
83	#389×C₇₃	C₂²	1	1	yes	characteristic
84	#389×C₇₃	C₂²	1	2	yes	—
85	#389×C₇₃	C₂²	1	1	yes	characteristic
86	#389×C₇₃	C₂²	1	1	yes	characteristic
87	#389×C₇₃	C₂²	1	2	yes	—
88	#389×C₇₃	C₂²	1	2	yes	—
89	#388×C₇₃	C₂²	1	1	yes	characteristic
90	#388×C₇₃	C₂²	1	2	yes	—
91	#388×C₇₃	C₂²	1	2	yes	—
92	#388×C₇₃	C₂²	1	2	yes	—
93	#388×C₇₃	C₂²	1	2	yes	—
94	#388×C₇₃	C₂²	1	1	yes	characteristic
95	#388×C₇₃	C₂²	1	2	yes	—
96	#387×C₇₃	C₂²	1	2	yes	—
97	#387×C₇₃	C₂²	1	2	yes	—
98	#387×C₇₃	C₂²	1	2	yes	—
99	#387×C₇₃	C₂²	1	2	yes	—
100	#387×C₇₃	C₂²	1	2	yes	—
101	#386×C₇₃	C₂²	1	1	yes	characteristic
102	#386×C₇₃	C₂²	1	2	yes	—
103	#386×C₇₃	C₂²	1	1	yes	characteristic
104	#386×C₇₃	C₂²	1	2	yes	—
105	#385×C₇₃	C₂²	1	2	yes	—
106	#385×C₇₃	C₂²	1	2	yes	—
107	#385×C₇₃	C₂²	1	2	yes	—
108	#382×C₇₃	C₂²	1	2	yes	—
109	#381×C₇₃	C₂²	1	2	yes	—
110	#380×C₇₃	C₂²	1	1	yes	characteristic
111	#380×C₇₃	C₂²	1	1	yes	characteristic
112	#380×C₇₃	C₂²	1	1	yes	characteristic
113	#380×C₇₃	C₂²	1	1	yes	characteristic
114	#380×C₇₃	C₂²	1	2	yes	—
115	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊C₄×C₇₃	C₂²	1	2	yes	—
118	C₄×C₄⋊C₄×C₇₃	C₂²	1	2	yes	—
119	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
120	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
121	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
122	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
123	C₂×#95×C₇₃	C₂²	1	2	yes	—
124	C₂×#95×C₇₃	C₂²	1	2	yes	—
125	C₂²×Q₈×C₇₃	—	2	4	no	—
126	C₂²×Q₈×C₇₃	—	2	4	no	—
127	C₂²×Q₈×C₇₃	—	2	4	no	—
128	C₂²×Q₈×C₇₃	—	2	4	no	—
129	C₂²×Q₈×C₇₃	—	4	2	no	—
130	C₂²×Q₈×C₇₃	—	4	2	no	—
131	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
132	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
133	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
134	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
135	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
142	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
144	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
146	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
147	C₄⋊Q₈×C₇₃	—	2	4	no	—
148	C₄⋊Q₈×C₇₃	—	2	8	no	—
149	#126×C₇₃	—	2	8	no	—
150	#125×C₇₃	—	2	8	no	—
151	#125×C₇₃	—	2	4	no	—
152	#123×C₇₃	—	2	8	no	—
153	#123×C₇₃	—	2	8	no	—
154	C₂²⋊Q₈×C₇₃	—	2	4	no	—
155	C₂²⋊Q₈×C₇₃	—	2	4	no	—
156	C₂²⋊Q₈×C₇₃	—	2	8	no	—
157	C₂²⋊Q₈×C₇₃	—	2	4	no	—
158	C₂²⋊Q₈×C₇₃	—	2	8	no	—
159	C₂²⋊Q₈×C₇₃	—	4	2	no	—
160	C₂²⋊Q₈×C₇₃	D₄	1	8	yes	complemented
161	#121×C₇₃	—	2	4	no	—
162	C₄×Q₈×C₇₃	—	2	4	no	—
163	C₄×Q₈×C₇₃	—	2	4	no	—
164	C₄×Q₈×C₇₃	—	4	2	no	—
165	C₄×D₄×C₇₃	—	2	4	no	—
166	C₄×D₄×C₇₃	—	2	4	no	—
167	C₄×D₄×C₇₃	—	2	8	no	—
168	C₄×D₄×C₇₃	—	4	2	no	—
169	#117×C₇₃	—	2	4	no	—
170	#117×C₇₃	—	2	8	no	—
171	C₂×C₄⋊C₄×C₇₃	—	2	4	no	—
172	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
173	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
174	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
175	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
176	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
178	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
179	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
180	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
181	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
182	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
183	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
184	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
185	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
186	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
187	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
188	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
189	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
190	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
191	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
192	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
193	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
194	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
195	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
196	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
197	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
209	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
210	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
217	C₂×C₄²×C₇₃	—	4	2	no	—
218	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
220	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
223	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
224	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
225	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
227	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
229	#95×C₇₃	C₂³	1	1	yes	characteristic
230	#95×C₇₃	C₂³	1	2	yes	—
231	#95×C₇₃	C₂³	1	1	yes	characteristic
232	#95×C₇₃	C₂³	1	1	yes	characteristic
233	#95×C₇₃	C₂³	1	1	yes	characteristic
234	#95×C₇₃	C₂³	1	2	yes	—
235	#95×C₇₃	C₂³	1	2	yes	—
236	#95×C₇₃	C₂³	1	2	yes	—
237	#95×C₇₃	C₂³	1	2	yes	—
238	#95×C₇₃	C₂³	1	2	yes	—
239	#95×C₇₃	C₂³	1	2	yes	—
240	#95×C₇₃	C₂³	1	1	yes	characteristic
241	#95×C₇₃	C₂³	1	1	yes	characteristic
242	#95×C₇₃	C₂³	1	2	yes	—
243	#95×C₇₃	C₂³	1	2	yes	—
244	#95×C₇₃	C₂³	1	2	yes	—
245	#95×C₇₃	C₂³	1	2	yes	—
246	#95×C₇₃	C₂³	1	2	yes	—
247	#95×C₇₃	C₂³	1	2	yes	—
248	#95×C₇₃	C₂³	1	2	yes	—
249	#95×C₇₃	C₂³	1	2	yes	—
250	#95×C₇₃	C₂³	1	2	yes	—
251	#95×C₇₃	C₂³	1	2	yes	—
252	#95×C₇₃	C₂³	1	2	yes	—
253	#95×C₇₃	C₂³	1	2	yes	—
254	#95×C₇₃	C₂³	1	2	yes	—
255	#95×C₇₃	C₂³	1	2	yes	—
256	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
257	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
258	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
259	C₂×Q₈×C₇₃	—	2	2	no	—
260	C₂×Q₈×C₇₃	—	2	4	no	—
261	C₂×Q₈×C₇₃	—	2	4	no	—
262	C₂×Q₈×C₇₃	—	2	2	no	—
263	C₂×Q₈×C₇₃	—	2	2	no	—
264	C₂×Q₈×C₇₃	—	2	4	no	—
265	C₂×Q₈×C₇₃	—	2	4	no	—
266	C₂×Q₈×C₇₃	—	2	2	no	—
267	C₂×Q₈×C₇₃	—	2	2	no	—
268	C₂×Q₈×C₇₃	—	2	2	no	—
269	C₂×Q₈×C₇₃	—	2	2	no	—
270	C₂×Q₈×C₇₃	—	4	2	no	—
271	C₂×Q₈×C₇₃	—	4	2	no	—
272	C₂×Q₈×C₇₃	—	4	16	no	—
273	C₂×Q₈×C₇₃	—	4	16	no	—
274	C₂×Q₈×C₇₃	C₂×D₄	1	4	yes	—
275	C₂×Q₈×C₇₃	#41	1	4	yes	—
276	C₂×D₄×C₇₃	—	2	2	no	—
277	C₂×D₄×C₇₃	—	2	2	no	—
278	C₂×D₄×C₇₃	—	2	2	no	—
279	C₂×D₄×C₇₃	—	2	2	no	—
280	C₂×D₄×C₇₃	—	2	2	no	—
281	C₂×D₄×C₇₃	—	2	2	no	—
282	C₂×D₄×C₇₃	—	2	2	no	—
283	C₂×D₄×C₇₃	—	4	1	no	—
284	C₂×D₄×C₇₃	#41	1	4	yes	—
285	C₂²×C₄×C₇₃	—	2	2	no	—
286	C₂²×C₄×C₇₃	—	2	2	no	—
287	C₂²×C₄×C₇₃	—	2	4	no	—
288	C₂²×C₄×C₇₃	—	2	4	no	—
289	C₂²×C₄×C₇₃	—	2	2	no	—
290	C₂²×C₄×C₇₃	—	2	4	no	—
291	C₂²×C₄×C₇₃	—	2	2	no	—
292	C₂²×C₄×C₇₃	—	2	4	no	—
293	C₂²×C₄×C₇₃	—	2	2	no	—
294	C₂²×C₄×C₇₃	—	2	4	no	—
295	C₂²×C₄×C₇₃	—	2	2	no	—
296	C₂²×C₄×C₇₃	—	2	2	no	—
297	C₂²×C₄×C₇₃	—	2	4	no	—
298	C₂²×C₄×C₇₃	—	2	4	no	—
299	C₂²×C₄×C₇₃	—	2	2	no	—
300	C₂²×C₄×C₇₃	—	2	2	no	—
301	C₂²×C₄×C₇₃	—	2	2	no	—
302	C₂²×C₄×C₇₃	—	2	2	no	—
303	C₂²×C₄×C₇₃	—	2	2	no	—
304	C₂²×C₄×C₇₃	—	4	1	no	—
305	C₂²×C₄×C₇₃	—	4	1	no	—
306	C₂²×C₄×C₇₃	—	4	2	no	—
307	C₂²×C₄×C₇₃	—	4	2	no	—
308	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
309	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
312	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
313	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
314	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
316	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
317	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
318	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
329	C₄⋊C₄×C₇₃	—	2	2	no	—
330	C₄⋊C₄×C₇₃	—	2	2	no	—
331	C₄⋊C₄×C₇₃	—	2	4	no	—
332	C₄⋊C₄×C₇₃	—	2	4	no	—
333	C₄⋊C₄×C₇₃	—	2	4	no	—
334	C₄⋊C₄×C₇₃	—	2	2	no	—
335	C₄⋊C₄×C₇₃	—	2	4	no	—
336	C₄⋊C₄×C₇₃	—	2	2	no	—
337	C₄⋊C₄×C₇₃	—	2	4	no	—
338	C₄⋊C₄×C₇₃	—	2	4	no	—
339	C₄⋊C₄×C₇₃	—	2	4	no	—
340	C₄⋊C₄×C₇₃	—	2	4	no	—
341	C₄⋊C₄×C₇₃	—	2	4	no	—
342	C₄⋊C₄×C₇₃	—	2	2	no	—
343	C₄⋊C₄×C₇₃	—	2	2	no	—
344	C₄⋊C₄×C₇₃	—	2	4	no	—
345	C₄⋊C₄×C₇₃	—	2	4	no	—
346	C₄⋊C₄×C₇₃	—	2	4	no	—
347	C₄⋊C₄×C₇₃	—	2	2	no	—
348	C₄⋊C₄×C₇₃	—	2	4	no	—
349	C₄⋊C₄×C₇₃	—	2	2	no	—
350	C₄⋊C₄×C₇₃	—	4	1	no	—
351	C₄⋊C₄×C₇₃	—	4	2	no	—
352	C₄⋊C₄×C₇₃	—	4	2	no	—
353	C₄⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
354	C₄⋊C₄×C₇₃	C₂×D₄	1	8	yes	—
355	C₂²⋊C₄×C₇₃	—	2	2	no	—
356	C₂²⋊C₄×C₇₃	—	2	2	no	—
357	C₂²⋊C₄×C₇₃	—	2	2	no	—
358	C₂²⋊C₄×C₇₃	—	2	4	no	—
359	C₂²⋊C₄×C₇₃	—	2	4	no	—
360	C₂²⋊C₄×C₇₃	—	2	4	no	—
361	C₂²⋊C₄×C₇₃	—	2	4	no	—
362	C₂²⋊C₄×C₇₃	—	2	2	no	—
363	C₂²⋊C₄×C₇₃	—	2	4	no	—
364	C₂²⋊C₄×C₇₃	—	2	2	no	—
365	C₂²⋊C₄×C₇₃	—	2	4	no	—
366	C₂²⋊C₄×C₇₃	—	2	2	no	—
367	C₂²⋊C₄×C₇₃	—	2	4	no	—
368	C₂²⋊C₄×C₇₃	—	2	2	no	—
369	C₂²⋊C₄×C₇₃	—	2	2	no	—
370	C₂²⋊C₄×C₇₃	—	4	1	no	—
371	C₂²⋊C₄×C₇₃	—	4	1	no	—
372	C₂²⋊C₄×C₇₃	—	4	2	no	—
373	C₂²⋊C₄×C₇₃	C₂×D₄	1	8	yes	—
374	C₄²×C₇₃	—	2	4	no	—
375	C₄²×C₇₃	—	2	4	no	—
376	C₄²×C₇₃	—	2	2	no	—
377	C₄²×C₇₃	—	2	4	no	—
378	C₄²×C₇₃	—	2	2	no	—
379	C₄²×C₇₃	—	2	2	no	—
380	C₄²×C₇₃	—	2	2	no	—
381	C₄²×C₇₃	—	2	4	no	—
382	C₄²×C₇₃	—	4	1	no	—
383	C₄²×C₇₃	—	4	1	no	—
384	C₄²×C₇₃	—	4	2	no	—
385	C₂³×C₇₃	—	2	1	no	—
386	C₂³×C₇₃	—	2	1	no	—
387	C₂³×C₇₃	—	2	1	no	—
388	C₂³×C₇₃	—	2	1	no	—
389	C₂³×C₇₃	—	2	1	no	—
390	C₂³×C₇₃	—	2	1	no	—
391	C₂³×C₇₃	—	2	1	no	—
392	C₂³×C₇₃	—	2	1	no	—
393	C₂³×C₇₃	—	2	1	no	—
394	C₂³×C₇₃	—	2	1	no	—
395	C₂³×C₇₃	—	2	1	no	—
396	C₂³×C₇₃	—	2	1	no	—
397	C₂³×C₇₃	—	2	1	no	—
398	C₂³×C₇₃	—	2	1	no	—
399	C₂³×C₇₃	—	2	1	no	—
400	C₂³×C₇₃	—	2	1	no	—
401	C₂³×C₇₃	—	2	1	no	—
402	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
403	C₂³×C₇₃	C₂×#41	1	2	yes	—
404	C₂³×C₇₃	C₂×#41	1	2	yes	—
405	C₂³×C₇₃	2₋¹⁺⁴	1	2	yes	—
406	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
407	Q₈×C₇₃	—	2	8	no	—
408	Q₈×C₇₃	—	2	8	no	—
409	Q₈×C₇₃	—	4	8	no	—
410	Q₈×C₇₃	—	4	8	no	—
411	Q₈×C₇₃	—	4	4	no	—
412	D₄×C₇₃	—	2	8	no	—
413	D₄×C₇₃	—	4	4	no	—
414	D₄×C₇₃	—	4	4	no	—
415	C₂×C₄×C₇₃	—	2	1	no	—
416	C₂×C₄×C₇₃	—	2	2	no	—
417	C₂×C₄×C₇₃	—	2	1	no	—
418	C₂×C₄×C₇₃	—	2	1	no	—
419	C₂×C₄×C₇₃	—	2	2	no	—
420	C₂×C₄×C₇₃	—	2	1	no	—
421	C₂×C₄×C₇₃	—	2	1	no	—
422	C₂×C₄×C₇₃	—	2	1	no	—
423	C₂×C₄×C₇₃	—	2	2	no	—
424	C₂×C₄×C₇₃	—	2	2	no	—
425	C₂×C₄×C₇₃	—	2	2	no	—
426	C₂×C₄×C₇₃	—	2	2	no	—
427	C₂×C₄×C₇₃	—	2	1	no	—
428	C₂×C₄×C₇₃	—	2	1	no	—
429	C₂×C₄×C₇₃	—	2	8	no	—
430	C₂×C₄×C₇₃	—	2	1	no	—
431	C₂×C₄×C₇₃	—	2	1	no	—
432	C₂×C₄×C₇₃	—	2	2	no	—
433	C₂×C₄×C₇₃	—	2	1	no	—
434	C₂×C₄×C₇₃	—	2	1	no	—
435	C₂×C₄×C₇₃	—	2	2	no	—
436	C₂×C₄×C₇₃	—	2	1	no	—
437	C₂×C₄×C₇₃	—	2	2	no	—
438	C₂×C₄×C₇₃	—	2	2	no	—
439	C₂×C₄×C₇₃	—	2	2	no	—
440	C₂×C₄×C₇₃	—	2	1	no	—
441	C₂×C₄×C₇₃	—	2	2	no	—
442	C₂×C₄×C₇₃	—	2	2	no	—
443	C₂×C₄×C₇₃	—	2	2	no	—
444	C₂×C₄×C₇₃	—	2	1	no	—
445	C₂×C₄×C₇₃	—	2	1	no	—
446	C₂×C₄×C₇₃	—	2	1	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	1	no	—
452	C₂×C₄×C₇₃	—	2	1	no	—
453	C₂×C₄×C₇₃	—	2	2	no	—
454	C₂×C₄×C₇₃	—	2	2	no	—
455	C₂×C₄×C₇₃	—	2	1	no	—
456	C₂×C₄×C₇₃	—	2	1	no	—
457	C₂×C₄×C₇₃	—	2	1	no	—
458	C₂×C₄×C₇₃	—	2	1	no	—
459	C₂×C₄×C₇₃	—	2	2	no	—
460	C₂×C₄×C₇₃	—	2	2	no	—
461	C₂×C₄×C₇₃	—	2	2	no	—
462	C₂×C₄×C₇₃	—	2	1	no	—
463	C₂×C₄×C₇₃	—	2	1	no	—
464	C₂×C₄×C₇₃	—	2	1	no	—
465	C₂×C₄×C₇₃	—	2	1	no	—
466	C₂×C₄×C₇₃	—	4	8	no	—
467	C₂×C₄×C₇₃	—	4	4	no	—
468	C₂×C₄×C₇₃	—	4	4	no	—
469	C₂×C₄×C₇₃	—	4	8	no	—
470	C₂×C₄×C₇₃	—	4	8	no	—
471	C₂×C₄×C₇₃	—	4	4	no	—
472	C₂×C₄×C₇₃	—	4	4	no	—
473	C₂×C₄×C₇₃	C₂²×D₄	1	4	yes	—
474	C₂×C₄×C₇₃	C₂²×D₄	1	4	yes	—
475	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
476	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
477	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
478	C₂×C₄×C₇₃	C₂×#41	1	4	yes	—
479	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
480	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
481	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
482	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
483	C₂²×C₇₃	—	2	2	no	—
484	C₂²×C₇₃	—	2	2	no	—
485	C₂²×C₇₃	—	2	2	no	—
486	C₂²×C₇₃	—	2	2	no	—
487	C₂²×C₇₃	—	2	2	no	—
488	C₂²×C₇₃	—	2	2	no	—
489	C₂²×C₇₃	—	2	2	no	—
490	C₂²×C₇₃	—	2	2	no	—
491	C₂²×C₇₃	—	2	2	no	—
492	C₂²×C₇₃	—	4	1	no	—
493	C₂²×C₇₃	—	4	1	no	—
494	C₂²×C₇₃	—	4	1	no	—
495	C₂²×C₇₃	—	4	1	no	—
496	C₂²×C₇₃	—	4	1	no	—
497	C₂²×C₇₃	—	4	1	no	—
498	C₂²×C₇₃	—	4	1	no	—
499	C₂²×C₇₃	—	4	1	no	—
500	C₂²×C₇₃	—	4	1	no	—
501	C₂²×C₇₃	—	4	1	no	—
502	C₂²×C₇₃	—	4	1	no	—
503	C₂²×C₇₃	#548	1	4	yes	—
504	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
505	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
506	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
507	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
508	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
509	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
510	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
511	C₄×C₇₃	—	2	2	no	—
512	C₄×C₇₃	—	2	4	no	—
513	C₄×C₇₃	—	2	4	no	—
514	C₄×C₇₃	—	2	2	no	—
515	C₄×C₇₃	—	2	4	no	—
516	C₄×C₇₃	—	2	2	no	—
517	C₄×C₇₃	—	2	2	no	—
518	C₄×C₇₃	—	4	1	no	—
519	C₄×C₇₃	—	4	1	no	—
520	C₄×C₇₃	—	4	2	no	—
521	C₄×C₇₃	—	4	2	no	—
522	C₄×C₇₃	—	4	2	no	—
523	C₄×C₇₃	—	4	1	no	—
524	C₄×C₇₃	—	4	2	no	—
525	C₄×C₇₃	—	4	1	no	—
526	C₄×C₇₃	—	4	1	no	—
527	C₄×C₇₃	—	4	2	no	—
528	C₄×C₇₃	—	4	1	no	—
529	C₄×C₇₃	—	4	1	no	—
530	C₄×C₇₃	#546	1	4	yes	—
531	#59651	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
532	C₂×C₇₃	—	2	4	no	—
533	C₂×C₇₃	—	4	2	no	—
534	C₂×C₇₃	—	8	1	no	—
535	C₂×C₇₃	C₂×#546	1	1	yes	characteristic
536	C₂×C₇₃	C₂×#548	1	1	yes	characteristic
537	C₂×C₇₃	#3482	1	1	yes	characteristic
538	C₂×C₇₃	#3499	1	1	yes	characteristic
539	C₂×C₇₃	#3520	1	1	yes	characteristic
540	C₂×C₇₃	#3523	1	1	yes	characteristic
541	C₂×C₇₃	#3538	1	1	yes	characteristic
542	C₂×#552	C₂×C₇₃	1	1	yes	characteristic, complemented
543	C₂×D₄×Q₈	C₂×C₇₃	1	1	yes	characteristic, complemented
544	#2716	C₂×C₇₃	1	2	yes	complemented
545	#2690	C₂×C₇₃	1	2	yes	complemented
546	#2560	C₂×C₇₃	1	2	yes	complemented
547	#2550	C₂×C₇₃	1	2	yes	complemented
548	#2489	C₂×C₇₃	1	1	yes	characteristic, complemented
549	#2488	C₂×C₇₃	1	2	yes	complemented
550	#2486	C₂×C₇₃	1	1	yes	characteristic, complemented
551	#2453	C₂×C₇₃	1	1	yes	characteristic, complemented
552	#2446	C₂×C₇₃	1	1	yes	characteristic, complemented
553	#2438	C₂×C₇₃	1	2	yes	complemented
554	#2429	C₂×C₇₃	1	1	yes	characteristic, complemented
555	#2425	C₂×C₇₃	1	2	yes	—
556	#2415	C₂×C₇₃	1	1	yes	characteristic, complemented
557	#2409	C₂×C₇₃	1	1	yes	characteristic, complemented
558	#2409	C₂×C₇₃	1	1	yes	characteristic, complemented
559	#2362	C₂×C₇₃	1	1	yes	characteristic, complemented
560	#2359	C₂×C₇₃	1	2	yes	complemented
561	Q₈×C₂²⋊C₄	C₂×C₇₃	1	1	yes	characteristic, complemented
562	C₄×C₂²⋊Q₈	C₂×C₇₃	1	1	yes	characteristic, complemented
563	C₄×#121	C₂×C₇₃	1	1	yes	characteristic
564	C₂×#391	C₂×C₇₃	1	1	yes	characteristic, complemented
565	C₇₃	#59651	1	1	yes	characteristic, direct product factor, Sylow
566	C₂³×Q₈	C₂²×C₇₃	1	1	yes	characteristic
567	C₂³×Q₈	C₂²×C₇₃	1	1	yes	characteristic
568	#552	—	2	8	no	—
569	D₄×Q₈	—	2	8	no	—
570	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
571	C₂×C₄⋊Q₈	C₂²×C₇₃	1	2	yes	—
572	C₂×#126	C₂²×C₇₃	1	2	yes	—
573	C₂×#125	C₂²×C₇₃	1	2	yes	—
574	C₂×#125	C₂²×C₇₃	1	1	yes	characteristic
575	C₂×#123	C₂²×C₇₃	1	2	yes	—
576	C₂×#123	C₂²×C₇₃	1	2	yes	—
577	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
578	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
579	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
580	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
581	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
582	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
583	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
584	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
585	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
586	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
587	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
588	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
589	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
590	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
591	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
592	C₂×#117	C₂²×C₇₃	1	2	yes	—
593	C₂×#117	C₂²×C₇₃	1	1	yes	characteristic
594	C₂²×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
595	C₂²×C₄²	C₂²×C₇₃	1	1	yes	characteristic
596	#400	C₂²×C₇₃	1	2	yes	—
597	#400	C₂²×C₇₃	1	2	yes	—
598	#400	C₂²×C₇₃	1	2	yes	—
599	#398	C₂²×C₇₃	1	2	yes	—
600	#398	C₂²×C₇₃	1	2	yes	—
601	#398	C₂²×C₇₃	1	2	yes	—
602	#398	C₂²×C₇₃	1	2	yes	—
603	#397	C₂²×C₇₃	1	2	yes	—
604	#397	C₂²×C₇₃	1	2	yes	—
605	#397	C₂²×C₇₃	1	2	yes	—
606	#396	C₂²×C₇₃	1	2	yes	—
607	#395	C₂²×C₇₃	1	2	yes	—
608	#395	C₂²×C₇₃	1	2	yes	—
609	#394	C₂²×C₇₃	1	2	yes	—
610	#393	C₂²×C₇₃	1	2	yes	—
611	#393	C₂²×C₇₃	1	2	yes	—
612	#391	C₂²×C₇₃	1	2	yes	—
613	#391	C₂²×C₇₃	1	1	yes	characteristic
614	#391	C₂²×C₇₃	1	1	yes	characteristic
615	#391	C₂²×C₇₃	1	2	yes	—
616	#391	C₂²×C₇₃	1	2	yes	—
617	#391	C₂²×C₇₃	1	1	yes	characteristic
618	#391	C₂²×C₇₃	1	1	yes	characteristic
619	#391	C₂²×C₇₃	1	1	yes	characteristic
620	#391	C₂²×C₇₃	1	1	yes	characteristic
621	#391	C₂²×C₇₃	1	1	yes	characteristic
622	#391	C₂²×C₇₃	1	2	yes	—
623	#390	C₂²×C₇₃	1	1	yes	characteristic
624	#389	C₂²×C₇₃	1	2	yes	—
625	#389	C₂²×C₇₃	1	1	yes	characteristic
626	#389	C₂²×C₇₃	1	2	yes	—
627	#389	C₂²×C₇₃	1	1	yes	characteristic
628	#389	C₂²×C₇₃	1	2	yes	—
629	#389	C₂²×C₇₃	1	1	yes	characteristic
630	#389	C₂²×C₇₃	1	1	yes	characteristic
631	#388	C₂²×C₇₃	1	2	yes	—
632	#388	C₂²×C₇₃	1	2	yes	—
633	#388	C₂²×C₇₃	1	2	yes	—
634	#388	C₂²×C₇₃	1	2	yes	—
635	#388	C₂²×C₇₃	1	2	yes	—
636	#388	C₂²×C₇₃	1	1	yes	characteristic
637	#388	C₂²×C₇₃	1	1	yes	characteristic
638	#387	C₂²×C₇₃	1	2	yes	—
639	#387	C₂²×C₇₃	1	2	yes	—
640	#387	C₂²×C₇₃	1	2	yes	—
641	#387	C₂²×C₇₃	1	2	yes	—
642	#387	C₂²×C₇₃	1	2	yes	—
643	#386	C₂²×C₇₃	1	2	yes	—
644	#386	C₂²×C₇₃	1	1	yes	characteristic
645	#386	C₂²×C₇₃	1	2	yes	—
646	#386	C₂²×C₇₃	1	1	yes	characteristic
647	#385	C₂²×C₇₃	1	2	yes	—
648	#385	C₂²×C₇₃	1	2	yes	—
649	#385	C₂²×C₇₃	1	2	yes	—
650	#382	C₂²×C₇₃	1	2	yes	—
651	#381	C₂²×C₇₃	1	2	yes	—
652	#380	C₂²×C₇₃	1	1	yes	characteristic
653	#380	C₂²×C₇₃	1	2	yes	—
654	#380	C₂²×C₇₃	1	1	yes	characteristic
655	#380	C₂²×C₇₃	1	1	yes	characteristic
656	#380	C₂²×C₇₃	1	1	yes	characteristic
657	C₄×C₄⋊C₄	C₂²×C₇₃	1	2	yes	—
658	C₄×C₄⋊C₄	C₂²×C₇₃	1	2	yes	—
659	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
660	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
661	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
662	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
663	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
664	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
665	C₂×#95	C₂²×C₇₃	1	2	yes	—
666	C₂×#95	C₂²×C₇₃	1	2	yes	—
667	C₂²×Q₈	—	2	4	no	—
668	C₂²×Q₈	—	2	4	no	—
669	C₂²×Q₈	—	2	4	no	—
670	C₂²×Q₈	—	2	4	no	—
671	C₂²×Q₈	—	4	2	no	—
672	C₂²×Q₈	—	4	2	no	—
673	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
674	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
675	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
676	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
677	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
678	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
679	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
680	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
681	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
682	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
683	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
684	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
685	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
686	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
687	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
688	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
689	C₄⋊Q₈	—	2	4	no	—
690	C₄⋊Q₈	—	2	8	no	—
691	#126	—	2	8	no	—
692	#125	—	2	8	no	—
693	#125	—	2	4	no	—
694	#123	—	2	8	no	—
695	#123	—	2	8	no	—
696	C₂²⋊Q₈	—	2	4	no	—
697	C₂²⋊Q₈	—	2	4	no	—
698	C₂²⋊Q₈	—	2	8	no	—
699	C₂²⋊Q₈	—	2	4	no	—
700	C₂²⋊Q₈	—	2	8	no	—
701	C₂²⋊Q₈	—	4	2	no	—
702	C₂²⋊Q₈	D₄×C₇₃	1	8	yes	complemented
703	#121	—	2	4	no	—
704	C₄×Q₈	—	2	4	no	—
705	C₄×Q₈	—	2	4	no	—
706	C₄×Q₈	—	4	2	no	—
707	C₄×D₄	—	2	4	no	—
708	C₄×D₄	—	2	4	no	—
709	C₄×D₄	—	2	8	no	—
710	C₄×D₄	—	4	2	no	—
711	#117	—	2	4	no	—
712	#117	—	2	8	no	—
713	C₂×C₄⋊C₄	—	2	4	no	—
714	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
716	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
717	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
718	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
719	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
720	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
721	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
723	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
724	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
725	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
727	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
728	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
730	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
731	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
732	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
733	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
734	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
735	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
736	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
737	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
738	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
741	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
743	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
745	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
746	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
747	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
748	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
754	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
758	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
759	C₂×C₄²	—	4	2	no	—
760	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
761	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
762	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
763	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
764	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
765	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
766	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
767	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
768	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
769	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
770	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
771	#95	C₂³×C₇₃	1	2	yes	—
772	#95	C₂³×C₇₃	1	2	yes	—
773	#95	C₂³×C₇₃	1	2	yes	—
774	#95	C₂³×C₇₃	1	2	yes	—
775	#95	C₂³×C₇₃	1	2	yes	—
776	#95	C₂³×C₇₃	1	2	yes	—
777	#95	C₂³×C₇₃	1	2	yes	—
778	#95	C₂³×C₇₃	1	2	yes	—
779	#95	C₂³×C₇₃	1	1	yes	characteristic
780	#95	C₂³×C₇₃	1	1	yes	characteristic
781	#95	C₂³×C₇₃	1	1	yes	characteristic
782	#95	C₂³×C₇₃	1	1	yes	characteristic
783	#95	C₂³×C₇₃	1	2	yes	—
784	#95	C₂³×C₇₃	1	2	yes	—
785	#95	C₂³×C₇₃	1	2	yes	—
786	#95	C₂³×C₇₃	1	2	yes	—
787	#95	C₂³×C₇₃	1	2	yes	—
788	#95	C₂³×C₇₃	1	2	yes	—
789	#95	C₂³×C₇₃	1	1	yes	characteristic
790	#95	C₂³×C₇₃	1	1	yes	characteristic
791	#95	C₂³×C₇₃	1	2	yes	—
792	#95	C₂³×C₇₃	1	2	yes	—
793	#95	C₂³×C₇₃	1	2	yes	—
794	#95	C₂³×C₇₃	1	2	yes	—
795	#95	C₂³×C₇₃	1	2	yes	—
796	#95	C₂³×C₇₃	1	2	yes	—
797	#95	C₂³×C₇₃	1	2	yes	—
798	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
799	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
800	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
801	C₂×Q₈	—	2	2	no	—
802	C₂×Q₈	—	2	4	no	—
803	C₂×Q₈	—	2	4	no	—
804	C₂×Q₈	—	2	2	no	—
805	C₂×Q₈	—	2	2	no	—
806	C₂×Q₈	—	2	4	no	—
807	C₂×Q₈	—	2	4	no	—
808	C₂×Q₈	—	2	2	no	—
809	C₂×Q₈	—	2	2	no	—
810	C₂×Q₈	—	2	2	no	—
811	C₂×Q₈	—	2	2	no	—
812	C₂×Q₈	—	4	2	no	—
813	C₂×Q₈	—	4	2	no	—
814	C₂×Q₈	—	4	16	no	—
815	C₂×Q₈	—	4	16	no	—
816	C₂×Q₈	C₂×D₄×C₇₃	1	4	yes	—
817	C₂×Q₈	#41×C₇₃	1	4	yes	—
818	C₂×D₄	—	2	2	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	2	no	—
825	C₂×D₄	—	4	1	no	—
826	C₂×D₄	#41×C₇₃	1	4	yes	—
827	C₂²×C₄	—	2	2	no	—
828	C₂²×C₄	—	2	2	no	—
829	C₂²×C₄	—	2	4	no	—
830	C₂²×C₄	—	2	4	no	—
831	C₂²×C₄	—	2	2	no	—
832	C₂²×C₄	—	2	4	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	4	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	4	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	4	no	—
840	C₂²×C₄	—	2	4	no	—
841	C₂²×C₄	—	2	2	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	—	4	1	no	—
847	C₂²×C₄	—	4	1	no	—
848	C₂²×C₄	—	4	2	no	—
849	C₂²×C₄	—	4	2	no	—
850	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
851	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
852	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
853	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
854	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
856	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
858	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
859	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
860	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
862	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
863	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
864	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
866	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
867	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
868	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
869	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	4	no	—
874	C₄⋊C₄	—	2	4	no	—
875	C₄⋊C₄	—	2	4	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	4	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	4	no	—
880	C₄⋊C₄	—	2	4	no	—
881	C₄⋊C₄	—	2	4	no	—
882	C₄⋊C₄	—	2	4	no	—
883	C₄⋊C₄	—	2	4	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	2	no	—
886	C₄⋊C₄	—	2	4	no	—
887	C₄⋊C₄	—	2	4	no	—
888	C₄⋊C₄	—	2	4	no	—
889	C₄⋊C₄	—	2	2	no	—
890	C₄⋊C₄	—	2	4	no	—
891	C₄⋊C₄	—	2	2	no	—
892	C₄⋊C₄	—	4	1	no	—
893	C₄⋊C₄	—	4	2	no	—
894	C₄⋊C₄	—	4	2	no	—
895	C₄⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
896	C₄⋊C₄	C₂×D₄×C₇₃	1	8	yes	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	4	no	—
901	C₂²⋊C₄	—	2	4	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	2	4	no	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	4	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	2	4	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	4	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	4	1	no	—
913	C₂²⋊C₄	—	4	1	no	—
914	C₂²⋊C₄	—	4	2	no	—
915	C₂²⋊C₄	C₂×D₄×C₇₃	1	8	yes	—
916	C₄²	—	2	4	no	—
917	C₄²	—	2	4	no	—
918	C₄²	—	2	2	no	—
919	C₄²	—	2	4	no	—
920	C₄²	—	2	2	no	—
921	C₄²	—	2	2	no	—
922	C₄²	—	2	2	no	—
923	C₄²	—	2	4	no	—
924	C₄²	—	4	1	no	—
925	C₄²	—	4	1	no	—
926	C₄²	—	4	2	no	—
927	C₂³	—	2	1	no	—
928	C₂³	—	2	1	no	—
929	C₂³	—	2	1	no	—
930	C₂³	—	2	1	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	1	no	—
933	C₂³	—	2	1	no	—
934	C₂³	—	2	1	no	—
935	C₂³	—	2	1	no	—
936	C₂³	—	2	1	no	—
937	C₂³	—	2	1	no	—
938	C₂³	—	2	1	no	—
939	C₂³	—	2	1	no	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	1	no	—
943	C₂³	—	2	1	no	—
944	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
945	C₂³	C₂×#41×C₇₃	1	2	yes	—
946	C₂³	C₂×#41×C₇₃	1	2	yes	—
947	C₂³	2₋¹⁺⁴×C₇₃	1	2	yes	—
948	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
949	Q₈	—	2	8	no	—
950	Q₈	—	2	8	no	—
951	Q₈	—	4	8	no	—
952	Q₈	—	4	8	no	—
953	Q₈	—	4	4	no	—
954	D₄	—	2	8	no	—
955	D₄	—	4	4	no	—
956	D₄	—	4	4	no	—
957	C₂×C₄	—	2	1	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	1	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	8	no	—
972	C₂×C₄	—	2	1	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	4	8	no	—
1009	C₂×C₄	—	4	8	no	—
1010	C₂×C₄	—	4	4	no	—
1011	C₂×C₄	—	4	4	no	—
1012	C₂×C₄	—	4	8	no	—
1013	C₂×C₄	—	4	4	no	—
1014	C₂×C₄	—	4	4	no	—
1015	C₂×C₄	C₂²×D₄×C₇₃	1	4	yes	—
1016	C₂×C₄	C₂²×D₄×C₇₃	1	4	yes	—
1017	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1018	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1019	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1020	C₂×C₄	C₂×#41×C₇₃	1	4	yes	—
1021	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1022	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1023	C₂×C₄	2₋¹⁺⁴×C₇₃	1	2	yes	—
1024	C₂×C₄	2₋¹⁺⁴×C₇₃	1	2	yes	—
1025	C₂²	—	2	2	no	—
1026	C₂²	—	2	2	no	—
1027	C₂²	—	2	2	no	—
1028	C₂²	—	2	2	no	—
1029	C₂²	—	2	2	no	—
1030	C₂²	—	2	2	no	—
1031	C₂²	—	2	2	no	—
1032	C₂²	—	2	2	no	—
1033	C₂²	—	2	2	no	—
1034	C₂²	—	4	1	no	—
1035	C₂²	—	4	1	no	—
1036	C₂²	—	4	1	no	—
1037	C₂²	—	4	1	no	—
1038	C₂²	—	4	1	no	—
1039	C₂²	—	4	1	no	—
1040	C₂²	—	4	1	no	—
1041	C₂²	—	4	1	no	—
1042	C₂²	—	4	1	no	—
1043	C₂²	—	4	1	no	—
1044	C₂²	—	4	1	no	—
1045	C₂²	#548×C₇₃	1	4	yes	—
1046	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1047	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1048	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1049	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1050	C₂²	C₂×2₋¹⁺⁴×C₇₃	1	1	yes	characteristic
1051	C₂²	C₂×2₋¹⁺⁴×C₇₃	1	1	yes	characteristic
1052	C₂²	C₂×2₋¹⁺⁴×C₇₃	1	1	yes	characteristic
1053	C₄	—	2	2	no	—
1054	C₄	—	2	4	no	—
1055	C₄	—	2	4	no	—
1056	C₄	—	2	2	no	—
1057	C₄	—	2	4	no	—
1058	C₄	—	2	2	no	—
1059	C₄	—	2	2	no	—
1060	C₄	—	4	1	no	—
1061	C₄	—	4	2	no	—
1062	C₄	—	4	1	no	—
1063	C₄	—	4	2	no	—
1064	C₄	—	4	2	no	—
1065	C₄	—	4	1	no	—
1066	C₄	—	4	2	no	—
1067	C₄	—	4	1	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	1	no	—
1070	C₄	—	4	2	no	—
1071	C₄	—	4	1	no	—
1072	C₄	#546×C₇₃	1	4	yes	—
1073	C₂	—	2	4	no	—
1074	C₂	—	4	2	no	—
1075	C₂	—	8	1	no	—
1076	C₂	C₂×#546×C₇₃	1	1	yes	characteristic
1077	C₂	C₂×#548×C₇₃	1	1	yes	characteristic
1078	C₂	C₇₃×#3482	1	1	yes	characteristic
1079	C₂	C₇₃×#3499	1	1	yes	characteristic
1080	C₂	C₇₃×#3520	1	1	yes	characteristic
1081	C₂	C₇₃×#3523	1	1	yes	characteristic
1082	C₂	C₇₃×#3538	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₃
prime radical	C₂×#121×C₇₃	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#552×C₇₃	C₂	semidirect
2. C₂×D₄×Q₈×C₇₃	C₂	semidirect
3. C₇₃×#2716	C₂	semidirect
4. C₇₃×#2690	C₂	semidirect
5. C₇₃×#2560	C₂	semidirect
6. C₇₃×#2550	C₂	semidirect
7. C₇₃×#2489	C₂	semidirect
8. C₇₃×#2488	C₂	semidirect
9. C₇₃×#2486	C₂	semidirect
10. C₇₃×#2453	C₂	semidirect
11. C₇₃×#2446	C₂	semidirect
12. C₇₃×#2438	C₂	semidirect
13. C₇₃×#2429	C₂	semidirect
15. C₇₃×#2415	C₂	semidirect
16. C₇₃×#2409	C₂	semidirect
17. C₇₃×#2409	C₂	semidirect
18. C₇₃×#2362	C₂	semidirect
19. C₇₃×#2359	C₂	semidirect
20. Q₈×C₂²⋊C₄×C₇₃	C₂	semidirect
21. C₄×C₂²⋊Q₈×C₇₃	C₂	semidirect
23. C₂×#391×C₇₃	C₂	semidirect
160. C₂²⋊Q₈×C₇₃	D₄	semidirect
531. #59651	C₇₃	direct (N × H)
542. C₂×#552	C₂×C₇₃	semidirect
543. C₂×D₄×Q₈	C₂×C₇₃	semidirect
544. #2716	C₂×C₇₃	semidirect
545. #2690	C₂×C₇₃	semidirect
546. #2560	C₂×C₇₃	semidirect
547. #2550	C₂×C₇₃	semidirect
548. #2489	C₂×C₇₃	semidirect
549. #2488	C₂×C₇₃	semidirect
550. #2486	C₂×C₇₃	semidirect
551. #2453	C₂×C₇₃	semidirect
552. #2446	C₂×C₇₃	semidirect
553. #2438	C₂×C₇₃	semidirect
554. #2429	C₂×C₇₃	semidirect
556. #2415	C₂×C₇₃	semidirect
557. #2409	C₂×C₇₃	semidirect
558. #2409	C₂×C₇₃	semidirect
559. #2362	C₂×C₇₃	semidirect
560. #2359	C₂×C₇₃	semidirect
561. Q₈×C₂²⋊C₄	C₂×C₇₃	semidirect
562. C₄×C₂²⋊Q₈	C₂×C₇₃	semidirect
564. C₂×#391	C₂×C₇₃	semidirect
565. C₇₃	#59651	direct (N × H)
702. C₂²⋊Q₈	D₄×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#552×C₇₃	2
C₂×D₄×Q₈×C₇₃	2
C₇₃×#2716	2
C₇₃×#2690	2
C₇₃×#2560	2
C₇₃×#2550	2
C₇₃×#2489	2
C₇₃×#2488	2
C₇₃×#2486	2
C₇₃×#2453	2
C₇₃×#2446	2
C₇₃×#2438	2
C₇₃×#2429	2
C₇₃×#2425	2
C₇₃×#2415	2
C₇₃×#2409	2
C₇₃×#2362	2
C₇₃×#2359	2
Q₈×C₂²⋊C₄×C₇₃	2
C₄×C₂²⋊Q₈×C₇₃	2
C₄×#121×C₇₃	2
C₂×#391×C₇₃	2
#59651	73

Subgroups — C73×#59651 #32969055

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#59651 #32969055