Subgroups — C₇₃×#19005 #32928409

Order 18688.

820 conjugacy classes of subgroups.

The subgroup lattice has 404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3531	C₂	1	1	yes	maximal, characteristic
2	C₇₃×#3239	C₂	1	2	yes	maximal, complemented
3	C₇₃×#3139	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#1664	C₂	1	4	yes	maximal, complemented
5	C₇₃×#1663	C₂	1	2	yes	maximal, complemented
6	C₇₃×#1662	C₂	1	2	yes	maximal, complemented
7	C₇₃×#1537	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#1529	C₂	1	2	yes	maximal, complemented
9	#564×C₇₃	C₂²	1	1	yes	characteristic
10	#563×C₇₃	—	2	2	no	—
11	#563×C₇₃	—	2	2	no	—
12	#563×C₇₃	C₂²	1	2	yes	—
13	#562×C₇₃	—	2	2	no	—
14	#562×C₇₃	C₂²	1	1	yes	characteristic
15	#533×C₇₃	—	2	2	no	—
16	#533×C₇₃	C₂²	1	1	yes	characteristic
17	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
18	#529×C₇₃	—	2	2	no	—
19	#529×C₇₃	—	2	2	no	—
20	#529×C₇₃	C₂²	1	2	yes	—
21	#501×C₇₃	C₂²	1	4	yes	—
22	#491×C₇₃	C₂²	1	2	yes	—
23	#491×C₇₃	C₂²	1	2	yes	—
24	#489×C₇₃	C₂²	1	4	yes	—
25	#487×C₇₃	—	2	2	no	—
26	#484×C₇₃	—	2	2	no	—
27	#481×C₇₃	—	2	2	no	—
28	#475×C₇₃	—	2	2	no	—
29	#474×C₇₃	—	2	2	no	—
30	#432×C₇₃	C₂²	1	2	yes	—
31	#419×C₇₃	—	2	2	no	—
32	C₄×M₁₆×C₇₃	C₂²	1	1	yes	characteristic
33	#330×C₇₃	C₂²	1	4	yes	—
34	#330×C₇₃	C₂²	1	2	yes	—
35	#330×C₇₃	C₂²	1	2	yes	—
36	#329×C₇₃	C₂²	1	4	yes	—
37	C₂²×Q₈×C₇₃	—	2	1	no	—
38	C₂×M₁₆×C₇₃	—	2	1	no	—
39	C₄⋊Q₈×C₇₃	—	2	2	no	—
40	C₄⋊Q₈×C₇₃	—	2	2	no	—
41	C₄⋊Q₈×C₇₃	—	2	2	no	—
42	C₄⋊Q₈×C₇₃	—	2	1	no	—
43	C₄⋊Q₈×C₇₃	D₄	1	2	yes	—
44	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
45	#126×C₇₃	—	2	2	no	—
46	#126×C₇₃	—	2	2	no	—
47	#126×C₇₃	—	2	2	no	—
48	#126×C₇₃	—	2	2	no	—
49	#126×C₇₃	—	2	2	no	—
50	#125×C₇₃	—	2	2	no	—
51	#125×C₇₃	—	2	2	no	—
52	#125×C₇₃	—	2	2	no	—
53	#125×C₇₃	—	2	2	no	—
54	#125×C₇₃	C₂³	1	1	yes	characteristic
55	#125×C₇₃	C₂³	1	1	yes	characteristic
56	#125×C₇₃	C₂³	1	2	yes	—
57	#124×C₇₃	—	2	2	no	—
58	#124×C₇₃	—	2	2	no	—
59	#124×C₇₃	C₂³	1	2	yes	—
60	#123×C₇₃	—	2	2	no	—
61	#123×C₇₃	—	2	2	no	—
62	#123×C₇₃	—	2	2	no	—
63	#123×C₇₃	—	2	2	no	—
64	#123×C₇₃	—	2	2	no	—
65	C₂²⋊Q₈×C₇₃	—	2	2	no	—
66	C₂²⋊Q₈×C₇₃	—	2	2	no	—
67	C₂²⋊Q₈×C₇₃	—	2	2	no	—
68	C₂²⋊Q₈×C₇₃	—	2	2	no	—
69	C₂²⋊Q₈×C₇₃	—	2	2	no	—
70	C₂²⋊Q₈×C₇₃	—	2	2	no	—
71	C₂²⋊Q₈×C₇₃	—	2	2	no	—
72	C₂²⋊Q₈×C₇₃	D₄	1	2	yes	—
73	#121×C₇₃	—	2	2	no	—
74	#121×C₇₃	—	2	2	no	—
75	#121×C₇₃	D₄	1	2	yes	—
76	C₄×Q₈×C₇₃	—	2	2	no	—
77	C₄×Q₈×C₇₃	—	2	2	no	—
78	C₄×Q₈×C₇₃	D₄	1	2	yes	—
79	C₄×D₄×C₇₃	—	2	2	no	—
80	C₄×D₄×C₇₃	—	2	2	no	—
81	C₄×D₄×C₇₃	D₄	1	2	yes	—
82	#117×C₇₃	—	2	2	no	—
83	#117×C₇₃	—	2	2	no	—
84	#117×C₇₃	D₄	1	2	yes	—
85	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
86	C₂×C₄²×C₇₃	—	2	2	no	—
87	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
88	#107×C₇₃	—	2	4	no	—
89	#106×C₇₃	—	2	4	no	—
90	C₄⋊C₈×C₇₃	—	2	2	no	—
91	#103×C₇₃	—	2	4	no	—
92	#103×C₇₃	—	2	4	no	—
93	#103×C₇₃	—	2	4	no	—
94	#102×C₇₃	—	2	4	no	—
95	C₂²⋊C₈×C₇₃	—	2	2	no	—
96	#97×C₇₃	C₂³	1	2	yes	—
97	#97×C₇₃	C₂³	1	4	yes	—
98	C₄×C₈×C₇₃	—	2	1	no	—
99	C₂×Q₈×C₇₃	—	2	2	no	—
100	C₂×Q₈×C₇₃	—	2	2	no	—
101	C₂×Q₈×C₇₃	—	2	2	no	—
102	C₂×Q₈×C₇₃	—	4	4	no	—
103	C₂×Q₈×C₇₃	—	4	1	no	—
104	C₂×Q₈×C₇₃	C₂×D₄	1	2	yes	—
105	C₂×D₄×C₇₃	—	2	2	no	—
106	C₂×D₄×C₇₃	—	2	2	no	—
107	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
108	C₂²×C₄×C₇₃	—	2	2	no	—
109	C₂²×C₄×C₇₃	—	2	2	no	—
110	C₂²×C₄×C₇₃	—	2	2	no	—
111	C₂²×C₄×C₇₃	—	4	1	no	—
112	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
113	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
114	M₁₆×C₇₃	—	4	2	no	—
115	C₂×C₈×C₇₃	—	2	2	no	—
116	C₂×C₈×C₇₃	—	2	4	no	—
117	C₄⋊C₄×C₇₃	—	2	2	no	—
118	C₄⋊C₄×C₇₃	—	2	2	no	—
119	C₄⋊C₄×C₇₃	—	2	2	no	—
120	C₄⋊C₄×C₇₃	—	2	2	no	—
121	C₄⋊C₄×C₇₃	—	2	2	no	—
122	C₄⋊C₄×C₇₃	—	2	2	no	—
123	C₄⋊C₄×C₇₃	—	2	2	no	—
124	C₄⋊C₄×C₇₃	—	2	2	no	—
125	C₄⋊C₄×C₇₃	—	2	2	no	—
126	C₄⋊C₄×C₇₃	—	2	2	no	—
127	C₄⋊C₄×C₇₃	—	2	2	no	—
128	C₄⋊C₄×C₇₃	—	2	2	no	—
129	C₄⋊C₄×C₇₃	—	2	2	no	—
130	C₄⋊C₄×C₇₃	—	2	4	no	—
131	C₄⋊C₄×C₇₃	—	4	2	no	—
132	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
133	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
134	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
135	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
136	C₂²⋊C₄×C₇₃	—	2	2	no	—
137	C₂²⋊C₄×C₇₃	—	2	2	no	—
138	C₂²⋊C₄×C₇₃	—	2	2	no	—
139	C₂²⋊C₄×C₇₃	—	2	2	no	—
140	C₂²⋊C₄×C₇₃	—	2	2	no	—
141	C₂²⋊C₄×C₇₃	—	2	2	no	—
142	C₂²⋊C₄×C₇₃	—	2	2	no	—
143	C₂²⋊C₄×C₇₃	—	2	2	no	—
144	C₂²⋊C₄×C₇₃	—	2	2	no	—
145	C₂²⋊C₄×C₇₃	—	2	2	no	—
146	C₄²×C₇₃	—	2	2	no	—
147	C₄²×C₇₃	—	2	2	no	—
148	C₄²×C₇₃	—	2	2	no	—
149	C₄²×C₇₃	—	2	2	no	—
150	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
151	C₄²×C₇₃	C₂×D₄	1	2	yes	—
152	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
153	C₂³×C₇₃	—	2	2	no	—
154	C₂³×C₇₃	#120	1	1	yes	characteristic
155	Q₈×C₇₃	—	4	2	no	—
156	Q₈×C₇₃	—	4	4	no	—
157	Q₈×C₇₃	—	8	2	no	—
158	Q₈×C₇₃	—	8	2	no	—
159	Q₈×C₇₃	—	8	2	no	—
160	D₄×C₇₃	—	4	2	no	—
161	D₄×C₇₃	—	8	2	no	—
162	D₄×C₇₃	—	8	2	no	—
163	C₂×C₄×C₇₃	—	2	2	no	—
164	C₂×C₄×C₇₃	—	2	2	no	—
165	C₂×C₄×C₇₃	—	2	2	no	—
166	C₂×C₄×C₇₃	—	2	2	no	—
167	C₂×C₄×C₇₃	—	2	2	no	—
168	C₂×C₄×C₇₃	—	2	2	no	—
169	C₂×C₄×C₇₃	—	4	2	no	—
170	C₂×C₄×C₇₃	—	4	4	no	—
171	C₂×C₄×C₇₃	—	4	2	no	—
172	C₂×C₄×C₇₃	—	8	2	no	—
173	C₂×C₄×C₇₃	—	8	2	no	—
174	C₂×C₄×C₇₃	—	8	2	no	—
175	C₂×C₄×C₇₃	#120	1	2	yes	—
176	C₂×C₄×C₇₃	#120	1	1	yes	characteristic
177	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
178	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
179	C₈×C₇₃	—	4	4	no	—
180	C₈×C₇₃	—	4	2	no	—
181	C₂²×C₇₃	—	2	1	no	—
182	C₂²×C₇₃	—	2	2	no	—
183	C₂²×C₇₃	—	4	2	no	—
184	C₂²×C₇₃	—	4	2	no	—
185	C₂²×C₇₃	—	4	2	no	—
186	C₂²×C₇₃	C₂×#120	1	1	yes	characteristic
187	C₄×C₇₃	—	2	1	no	—
188	C₄×C₇₃	—	2	2	no	—
189	C₄×C₇₃	—	2	2	no	—
190	C₄×C₇₃	—	4	2	no	—
191	C₄×C₇₃	—	4	2	no	—
192	C₄×C₇₃	—	4	2	no	—
193	C₄×C₇₃	—	4	2	no	—
194	C₄×C₇₃	—	4	2	no	—
195	C₄×C₇₃	—	8	2	no	—
196	C₄×C₇₃	#454	1	2	yes	—
197	#19005	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
198	C₂×C₇₃	—	4	1	no	—
199	C₂×C₇₃	—	8	2	no	—
200	C₂×C₇₃	C₂×#454	1	1	yes	characteristic
201	C₂×C₇₃	#3022	1	2	yes	—
202	#3531	C₂×C₇₃	1	1	yes	characteristic
203	#3239	C₂×C₇₃	1	2	yes	complemented
204	#3139	C₂×C₇₃	1	1	yes	characteristic, complemented
205	#1664	C₂×C₇₃	1	4	yes	complemented
206	#1663	C₂×C₇₃	1	2	yes	complemented
207	#1662	C₂×C₇₃	1	2	yes	complemented
208	#1537	C₂×C₇₃	1	1	yes	characteristic, complemented
209	#1529	C₂×C₇₃	1	2	yes	complemented
210	C₇₃	#19005	1	1	yes	characteristic, direct product factor, Sylow
211	#564	C₂²×C₇₃	1	1	yes	characteristic
212	#563	—	2	2	no	—
213	#563	—	2	2	no	—
214	#563	C₂²×C₇₃	1	2	yes	—
215	#562	—	2	2	no	—
216	#562	C₂²×C₇₃	1	1	yes	characteristic
217	#533	—	2	2	no	—
218	#533	C₂²×C₇₃	1	1	yes	characteristic
219	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
220	#529	—	2	2	no	—
221	#529	—	2	2	no	—
222	#529	C₂²×C₇₃	1	2	yes	—
223	#501	C₂²×C₇₃	1	4	yes	—
224	#491	C₂²×C₇₃	1	2	yes	—
225	#491	C₂²×C₇₃	1	2	yes	—
226	#489	C₂²×C₇₃	1	4	yes	—
227	#487	—	2	2	no	—
228	#484	—	2	2	no	—
229	#481	—	2	2	no	—
230	#475	—	2	2	no	—
231	#474	—	2	2	no	—
232	#432	C₂²×C₇₃	1	2	yes	—
233	#419	—	2	2	no	—
234	C₄×M₁₆	C₂²×C₇₃	1	1	yes	characteristic
235	#330	C₂²×C₇₃	1	2	yes	—
236	#330	C₂²×C₇₃	1	2	yes	—
237	#330	C₂²×C₇₃	1	4	yes	—
238	#329	C₂²×C₇₃	1	4	yes	—
239	C₂²×Q₈	—	2	1	no	—
240	C₂×M₁₆	—	2	1	no	—
241	C₄⋊Q₈	—	2	2	no	—
242	C₄⋊Q₈	—	2	2	no	—
243	C₄⋊Q₈	—	2	2	no	—
244	C₄⋊Q₈	—	2	1	no	—
245	C₄⋊Q₈	D₄×C₇₃	1	2	yes	—
246	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
247	#126	—	2	2	no	—
248	#126	—	2	2	no	—
249	#126	—	2	2	no	—
250	#126	—	2	2	no	—
251	#126	—	2	2	no	—
252	#125	—	2	2	no	—
253	#125	—	2	2	no	—
254	#125	—	2	2	no	—
255	#125	—	2	2	no	—
256	#125	C₂³×C₇₃	1	2	yes	—
257	#125	C₂³×C₇₃	1	1	yes	characteristic
258	#125	C₂³×C₇₃	1	1	yes	characteristic
259	#124	—	2	2	no	—
260	#124	—	2	2	no	—
261	#124	C₂³×C₇₃	1	2	yes	—
262	#123	—	2	2	no	—
263	#123	—	2	2	no	—
264	#123	—	2	2	no	—
265	#123	—	2	2	no	—
266	#123	—	2	2	no	—
267	C₂²⋊Q₈	—	2	2	no	—
268	C₂²⋊Q₈	—	2	2	no	—
269	C₂²⋊Q₈	—	2	2	no	—
270	C₂²⋊Q₈	—	2	2	no	—
271	C₂²⋊Q₈	—	2	2	no	—
272	C₂²⋊Q₈	—	2	2	no	—
273	C₂²⋊Q₈	—	2	2	no	—
274	C₂²⋊Q₈	D₄×C₇₃	1	2	yes	—
275	#121	—	2	2	no	—
276	#121	—	2	2	no	—
277	#121	D₄×C₇₃	1	2	yes	—
278	C₄×Q₈	—	2	2	no	—
279	C₄×Q₈	—	2	2	no	—
280	C₄×Q₈	D₄×C₇₃	1	2	yes	—
281	C₄×D₄	—	2	2	no	—
282	C₄×D₄	—	2	2	no	—
283	C₄×D₄	D₄×C₇₃	1	2	yes	—
284	#117	—	2	2	no	—
285	#117	—	2	2	no	—
286	#117	D₄×C₇₃	1	2	yes	—
287	C₂×C₄⋊C₄	—	2	2	no	—
288	C₂×C₄²	—	2	2	no	—
289	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
290	#107	—	2	4	no	—
291	#106	—	2	4	no	—
292	C₄⋊C₈	—	2	2	no	—
293	#103	—	2	4	no	—
294	#103	—	2	4	no	—
295	#103	—	2	4	no	—
296	#102	—	2	4	no	—
297	C₂²⋊C₈	—	2	2	no	—
298	#97	C₂³×C₇₃	1	2	yes	—
299	#97	C₂³×C₇₃	1	4	yes	—
300	C₄×C₈	—	2	1	no	—
301	C₂×Q₈	—	2	2	no	—
302	C₂×Q₈	—	2	2	no	—
303	C₂×Q₈	—	2	2	no	—
304	C₂×Q₈	—	4	4	no	—
305	C₂×Q₈	—	4	1	no	—
306	C₂×Q₈	C₂×D₄×C₇₃	1	2	yes	—
307	C₂×D₄	—	2	2	no	—
308	C₂×D₄	—	2	2	no	—
309	C₂×D₄	C₂×D₄×C₇₃	1	2	yes	—
310	C₂²×C₄	—	2	2	no	—
311	C₂²×C₄	—	2	2	no	—
312	C₂²×C₄	—	2	2	no	—
313	C₂²×C₄	—	4	1	no	—
314	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
315	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
316	M₁₆	—	4	2	no	—
317	C₂×C₈	—	2	2	no	—
318	C₂×C₈	—	2	4	no	—
319	C₄⋊C₄	—	2	2	no	—
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	2	2	no	—
322	C₄⋊C₄	—	2	2	no	—
323	C₄⋊C₄	—	2	2	no	—
324	C₄⋊C₄	—	2	2	no	—
325	C₄⋊C₄	—	2	2	no	—
326	C₄⋊C₄	—	2	2	no	—
327	C₄⋊C₄	—	2	2	no	—
328	C₄⋊C₄	—	2	2	no	—
329	C₄⋊C₄	—	2	2	no	—
330	C₄⋊C₄	—	2	2	no	—
331	C₄⋊C₄	—	2	2	no	—
332	C₄⋊C₄	—	2	4	no	—
333	C₄⋊C₄	—	4	2	no	—
334	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
335	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
336	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
337	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
338	C₂²⋊C₄	—	2	2	no	—
339	C₂²⋊C₄	—	2	2	no	—
340	C₂²⋊C₄	—	2	2	no	—
341	C₂²⋊C₄	—	2	2	no	—
342	C₂²⋊C₄	—	2	2	no	—
343	C₂²⋊C₄	—	2	2	no	—
344	C₂²⋊C₄	—	2	2	no	—
345	C₂²⋊C₄	—	2	2	no	—
346	C₂²⋊C₄	—	2	2	no	—
347	C₂²⋊C₄	—	2	2	no	—
348	C₄²	—	2	2	no	—
349	C₄²	—	2	2	no	—
350	C₄²	—	2	2	no	—
351	C₄²	—	2	2	no	—
352	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
353	C₄²	C₂×D₄×C₇₃	1	2	yes	—
354	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
355	C₂³	—	2	2	no	—
356	C₂³	#120×C₇₃	1	1	yes	characteristic
357	Q₈	—	4	2	no	—
358	Q₈	—	4	4	no	—
359	Q₈	—	8	2	no	—
360	Q₈	—	8	2	no	—
361	Q₈	—	8	2	no	—
362	D₄	—	4	2	no	—
363	D₄	—	8	2	no	—
364	D₄	—	8	2	no	—
365	C₂×C₄	—	2	2	no	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	2	2	no	—
368	C₂×C₄	—	2	2	no	—
369	C₂×C₄	—	2	2	no	—
370	C₂×C₄	—	2	2	no	—
371	C₂×C₄	—	4	2	no	—
372	C₂×C₄	—	4	4	no	—
373	C₂×C₄	—	4	2	no	—
374	C₂×C₄	—	8	2	no	—
375	C₂×C₄	—	8	2	no	—
376	C₂×C₄	—	8	2	no	—
377	C₂×C₄	#120×C₇₃	1	2	yes	—
378	C₂×C₄	#120×C₇₃	1	1	yes	characteristic
379	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
380	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
381	C₈	—	4	2	no	—
382	C₈	—	4	4	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	2	2	no	—
385	C₂²	—	4	2	no	—
386	C₂²	—	4	2	no	—
387	C₂²	—	4	2	no	—
388	C₂²	C₂×#120×C₇₃	1	1	yes	characteristic
389	C₄	—	2	1	no	—
390	C₄	—	2	2	no	—
391	C₄	—	2	2	no	—
392	C₄	—	4	2	no	—
393	C₄	—	4	2	no	—
394	C₄	—	4	2	no	—
395	C₄	—	4	2	no	—
396	C₄	—	4	2	no	—
397	C₄	—	8	2	no	—
398	C₄	#454×C₇₃	1	2	yes	—
399	C₂	—	4	1	no	—
400	C₂	—	8	2	no	—
401	C₂	C₂×#454×C₇₃	1	1	yes	characteristic
402	C₂	C₇₃×#3022	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₇₃	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₇₃
prime radical	C₇₃×#3531	C₂
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₇₃ ◁ C₂×C₄²×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₇₃×#3239	C₂	semidirect
3. C₇₃×#3139	C₂	semidirect
4. C₇₃×#1664	C₂	semidirect
5. C₇₃×#1663	C₂	semidirect
6. C₇₃×#1662	C₂	semidirect
7. C₇₃×#1537	C₂	semidirect
8. C₇₃×#1529	C₂	semidirect
197. #19005	C₇₃	direct (N × H)
203. #3239	C₂×C₇₃	semidirect
204. #3139	C₂×C₇₃	semidirect
205. #1664	C₂×C₇₃	semidirect
206. #1663	C₂×C₇₃	semidirect
207. #1662	C₂×C₇₃	semidirect
208. #1537	C₂×C₇₃	semidirect
209. #1529	C₂×C₇₃	semidirect
210. C₇₃	#19005	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇₃×#3531	2
C₇₃×#3239	2
C₇₃×#3139	2
C₇₃×#1664	2
C₇₃×#1663	2
C₇₃×#1662	2
C₇₃×#1537	2
C₇₃×#1529	2
#19005	73

Subgroups — C73×#19005 #32928409

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#19005 #32928409