Subgroups — C₇₃×#33857 #32943261

Order 18688.

646 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3416	C₂	1	2	yes	maximal, complemented
2	C₇₃×#3290	C₂	1	2	yes	maximal, complemented
3	C₇₃×#2249	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#2223	C₂	1	2	yes	maximal, complemented
5	C₇₃×#2212	C₂	1	2	yes	maximal, complemented
6	C₇₃×#2195	C₂	1	2	yes	maximal, complemented
7	C₇₃×#2192	C₂	1	2	yes	maximal, complemented
8	C₇₃×#2178	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#2170	C₂	1	1	yes	maximal, characteristic, complemented
10	#578×C₇₃	C₂²	1	2	yes	—
11	#577×C₇₃	—	2	2	no	—
12	#576×C₇₃	C₂²	1	2	yes	complemented
13	#510×C₇₃	—	2	2	no	—
14	#510×C₇₃	C₂²	1	2	yes	complemented
15	#509×C₇₃	—	2	2	no	—
16	#509×C₇₃	C₂²	1	2	yes	—
17	#508×C₇₃	—	2	2	no	—
18	#508×C₇₃	C₂²	1	1	yes	characteristic
19	C₂×Q₃₂×C₇₃	C₂²	1	1	yes	characteristic, complemented
20	C₂×SD₃₂×C₇₃	—	2	2	no	—
21	C₂×SD₃₂×C₇₃	C₂²	1	2	yes	complemented
22	C₂×D₁₆×C₇₃	C₂²	1	1	yes	characteristic
23	#504×C₇₃	C₂²	1	2	yes	complemented
24	#495×C₇₃	C₂²	1	2	yes	complemented
25	#473×C₇₃	C₂²	1	2	yes	complemented
26	#472×C₇₃	C₂²	1	2	yes	—
27	#471×C₇₃	—	2	2	no	—
28	#455×C₇₃	—	2	2	no	—
29	#454×C₇₃	—	2	2	no	—
30	#443×C₇₃	C₂²	1	1	yes	characteristic
31	#443×C₇₃	C₂²	1	2	yes	complemented
32	#368×C₇₃	C₂²	1	1	yes	characteristic, complemented
33	#364×C₇₃	C₂²	1	1	yes	characteristic, complemented
34	#362×C₇₃	C₂²	1	2	yes	complemented
35	#361×C₇₃	C₂²	1	2	yes	complemented
36	#359×C₇₃	C₂²	1	2	yes	complemented
37	#350×C₇₃	C₂²	1	2	yes	complemented
38	C₄×C₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
39	2₋¹⁺⁴×C₇₃	—	2	2	no	—
40	H(5,𝔽₂)×C₇₃	—	2	2	no	—
41	#137×C₇₃	—	2	2	no	—
42	#137×C₇₃	—	2	2	no	—
43	#137×C₇₃	—	4	2	no	—
44	#137×C₇₃	—	4	2	no	—
45	AGL(1,ℤ/8)×C₇₃	—	2	2	no	—
46	AGL(1,ℤ/8)×C₇₃	—	2	2	no	—
47	AGL(1,ℤ/8)×C₇₃	—	4	2	no	—
48	AGL(1,ℤ/8)×C₇₃	—	4	2	no	—
49	#135×C₇₃	—	2	2	no	—
50	#135×C₇₃	—	2	2	no	—
51	#135×C₇₃	—	4	2	no	—
52	#135×C₇₃	D₄	1	1	yes	characteristic
53	#135×C₇₃	C₂³	1	2	yes	—
54	C₂×Q₁₆×C₇₃	—	2	2	no	—
55	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
56	C₂×SD₁₆×C₇₃	—	2	2	no	—
57	C₂×SD₁₆×C₇₃	—	4	2	no	—
58	C₂×D₈×C₇₃	—	2	2	no	—
59	C₂×D₈×C₇₃	C₂³	1	2	yes	—
60	#131×C₇₃	—	2	2	no	—
61	#131×C₇₃	C₂³	1	2	yes	—
62	#124×C₇₃	—	2	2	no	—
63	Q₃₂×C₇₃	—	2	2	no	—
64	Q₃₂×C₇₃	—	4	1	no	—
65	Q₃₂×C₇₃	D₄	1	1	yes	characteristic
66	SD₃₂×C₇₃	—	2	2	no	—
67	SD₃₂×C₇₃	—	2	2	no	—
68	SD₃₂×C₇₃	—	2	2	no	—
69	SD₃₂×C₇₃	—	2	2	no	—
70	SD₃₂×C₇₃	D₄	1	2	yes	—
71	D₁₆×C₇₃	—	2	2	no	—
72	D₁₆×C₇₃	—	4	1	no	—
73	D₁₆×C₇₃	D₄	1	1	yes	characteristic
74	M₃₂×C₇₃	—	2	2	no	—
75	M₃₂×C₇₃	C₂³	1	2	yes	—
76	C₂×C₁₆×C₇₃	—	2	2	no	—
77	C₂×C₁₆×C₇₃	C₂³	1	1	yes	characteristic
78	C₂×C₁₆×C₇₃	C₂³	1	1	yes	characteristic
79	#108×C₇₃	D₄	1	1	yes	characteristic
80	#108×C₇₃	C₂³	1	2	yes	—
81	#104×C₇₃	—	2	2	no	—
82	#104×C₇₃	D₄	1	2	yes	—
83	#101×C₇₃	—	2	2	no	—
84	#100×C₇₃	—	2	2	no	—
85	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
86	#41×C₇₃	—	2	2	no	—
87	#41×C₇₃	—	4	2	no	—
88	#41×C₇₃	—	4	2	no	—
89	#41×C₇₃	—	4	2	no	—
90	#41×C₇₃	—	4	2	no	—
91	#41×C₇₃	—	8	2	no	—
92	#41×C₇₃	C₂×D₄	1	2	yes	—
93	C₂×Q₈×C₇₃	—	2	2	no	—
94	C₂×Q₈×C₇₃	—	4	2	no	—
95	C₂×Q₈×C₇₃	—	4	2	no	—
96	C₂×D₄×C₇₃	—	2	2	no	—
97	C₂×D₄×C₇₃	—	4	2	no	—
98	C₂×D₄×C₇₃	—	4	2	no	—
99	C₂×D₄×C₇₃	—	8	2	no	—
100	Q₁₆×C₇₃	—	2	2	no	—
101	Q₁₆×C₇₃	—	2	2	no	—
102	Q₁₆×C₇₃	—	4	2	no	—
103	Q₁₆×C₇₃	—	4	2	no	—
104	Q₁₆×C₇₃	D₈	1	1	yes	characteristic
105	Q₁₆×C₇₃	C₂×D₄	1	2	yes	—
106	SD₁₆×C₇₃	—	2	2	no	—
107	SD₁₆×C₇₃	—	4	2	no	—
108	SD₁₆×C₇₃	—	4	2	no	—
109	SD₁₆×C₇₃	—	4	2	no	—
110	SD₁₆×C₇₃	—	4	2	no	—
111	SD₁₆×C₇₃	—	4	2	no	—
112	SD₁₆×C₇₃	—	4	2	no	—
113	SD₁₆×C₇₃	D₈	1	2	yes	—
114	D₈×C₇₃	—	2	2	no	—
115	D₈×C₇₃	—	2	2	no	—
116	D₈×C₇₃	—	4	2	no	—
117	D₈×C₇₃	—	4	2	no	—
118	D₈×C₇₃	D₈	1	1	yes	characteristic
119	D₈×C₇₃	C₂×D₄	1	2	yes	—
120	M₁₆×C₇₃	—	2	2	no	—
121	M₁₆×C₇₃	—	2	2	no	—
122	M₁₆×C₇₃	—	4	2	no	—
123	M₁₆×C₇₃	C₂×D₄	1	2	yes	—
124	C₂×C₈×C₇₃	—	2	2	no	—
125	C₂×C₈×C₇₃	—	4	2	no	—
126	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
127	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
128	C₂²⋊C₄×C₇₃	—	8	2	no	—
129	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
130	C₁₆×C₇₃	—	2	2	no	—
131	C₁₆×C₇₃	—	2	1	no	—
132	C₁₆×C₇₃	C₂×D₄	1	1	yes	characteristic
133	C₁₆×C₇₃	C₂×D₄	1	1	yes	characteristic
134	C₂³×C₇₃	—	4	2	no	—
135	C₂³×C₇₃	—	8	2	no	—
136	Q₈×C₇₃	—	2	2	no	—
137	Q₈×C₇₃	—	4	2	no	—
138	Q₈×C₇₃	—	4	2	no	—
139	Q₈×C₇₃	—	8	2	no	—
140	Q₈×C₇₃	C₂×D₈	1	2	yes	—
141	D₄×C₇₃	—	2	2	no	—
142	D₄×C₇₃	—	2	2	no	—
143	D₄×C₇₃	—	4	2	no	—
144	D₄×C₇₃	—	4	2	no	—
145	D₄×C₇₃	—	4	2	no	—
146	D₄×C₇₃	—	8	2	no	—
147	D₄×C₇₃	—	8	2	no	—
148	D₄×C₇₃	—	8	2	no	—
149	D₄×C₇₃	C₂×D₈	1	2	yes	—
150	C₂×C₄×C₇₃	—	2	2	no	—
151	C₂×C₄×C₇₃	—	2	1	no	—
152	C₂×C₄×C₇₃	—	4	2	no	—
153	C₂×C₄×C₇₃	—	4	2	no	—
154	C₂×C₄×C₇₃	—	8	2	no	—
155	C₂×C₄×C₇₃	—	8	2	no	—
156	C₂×C₄×C₇₃	—	8	2	no	—
157	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
158	C₈×C₇₃	—	2	2	no	—
159	C₈×C₇₃	—	4	2	no	—
160	C₈×C₇₃	C₂×D₈	1	1	yes	characteristic
161	C₈×C₇₃	C₂×D₈	1	1	yes	characteristic
162	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
163	C₈×C₇₃	H(5,𝔽₂)	1	1	yes	characteristic
164	C₂²×C₇₃	—	2	2	no	—
165	C₂²×C₇₃	—	4	2	no	—
166	C₂²×C₇₃	—	8	2	no	—
167	C₂²×C₇₃	—	16	2	no	—
168	C₂²×C₇₃	—	32	2	no	—
169	C₂²×C₇₃	#576	1	1	yes	characteristic
170	C₄×C₇₃	—	2	2	no	—
171	C₄×C₇₃	—	4	1	no	—
172	C₄×C₇₃	—	4	2	no	—
173	C₄×C₇₃	—	8	2	no	—
174	C₄×C₇₃	D₄²	1	1	yes	characteristic
175	C₄×C₇₃	C₂²×D₈	1	1	yes	characteristic
176	#33857	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
177	C₂×C₇₃	—	2	1	no	—
178	C₂×C₇₃	—	4	2	no	—
179	C₂×C₇₃	—	8	2	no	—
180	C₂×C₇₃	—	16	2	no	—
181	C₂×C₇₃	D₄×D₈	1	1	yes	characteristic
182	#3416	C₂×C₇₃	1	2	yes	complemented
183	#3290	C₂×C₇₃	1	2	yes	complemented
184	#2249	C₂×C₇₃	1	1	yes	characteristic, complemented
185	#2223	C₂×C₇₃	1	2	yes	complemented
186	#2212	C₂×C₇₃	1	2	yes	complemented
187	#2195	C₂×C₇₃	1	2	yes	complemented
188	#2192	C₂×C₇₃	1	2	yes	complemented
189	#2178	C₂×C₇₃	1	1	yes	characteristic, complemented
190	#2170	C₂×C₇₃	1	1	yes	characteristic, complemented
191	C₇₃	#33857	1	1	yes	characteristic, direct product factor, Sylow
192	#578	C₂²×C₇₃	1	2	yes	—
193	#577	—	2	2	no	—
194	#576	C₂²×C₇₃	1	2	yes	complemented
195	#510	—	2	2	no	—
196	#510	C₂²×C₇₃	1	2	yes	complemented
197	#509	—	2	2	no	—
198	#509	C₂²×C₇₃	1	2	yes	—
199	#508	—	2	2	no	—
200	#508	C₂²×C₇₃	1	1	yes	characteristic
201	C₂×Q₃₂	C₂²×C₇₃	1	1	yes	characteristic, complemented
202	C₂×SD₃₂	—	2	2	no	—
203	C₂×SD₃₂	C₂²×C₇₃	1	2	yes	complemented
204	C₂×D₁₆	C₂²×C₇₃	1	1	yes	characteristic
205	#504	C₂²×C₇₃	1	2	yes	complemented
206	#495	C₂²×C₇₃	1	2	yes	complemented
207	#473	C₂²×C₇₃	1	2	yes	complemented
208	#472	C₂²×C₇₃	1	2	yes	—
209	#471	—	2	2	no	—
210	#455	—	2	2	no	—
211	#454	—	2	2	no	—
212	#443	C₂²×C₇₃	1	1	yes	characteristic
213	#443	C₂²×C₇₃	1	2	yes	complemented
214	#368	C₂²×C₇₃	1	1	yes	characteristic, complemented
215	#364	C₂²×C₇₃	1	1	yes	characteristic, complemented
216	#362	C₂²×C₇₃	1	2	yes	complemented
217	#361	C₂²×C₇₃	1	2	yes	complemented
218	#359	C₂²×C₇₃	1	2	yes	complemented
219	#350	C₂²×C₇₃	1	2	yes	complemented
220	C₄×C₁₆	C₂²×C₇₃	1	1	yes	characteristic, complemented
221	2₋¹⁺⁴	—	2	2	no	—
222	H(5,𝔽₂)	—	2	2	no	—
223	#137	—	2	2	no	—
224	#137	—	2	2	no	—
225	#137	—	4	2	no	—
226	#137	—	4	2	no	—
227	AGL(1,ℤ/8)	—	2	2	no	—
228	AGL(1,ℤ/8)	—	2	2	no	—
229	AGL(1,ℤ/8)	—	4	2	no	—
230	AGL(1,ℤ/8)	—	4	2	no	—
231	#135	—	2	2	no	—
232	#135	—	2	2	no	—
233	#135	—	4	2	no	—
234	#135	D₄×C₇₃	1	1	yes	characteristic
235	#135	C₂³×C₇₃	1	2	yes	—
236	C₂×Q₁₆	—	2	2	no	—
237	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
238	C₂×SD₁₆	—	2	2	no	—
239	C₂×SD₁₆	—	4	2	no	—
240	C₂×D₈	—	2	2	no	—
241	C₂×D₈	C₂³×C₇₃	1	2	yes	—
242	#131	—	2	2	no	—
243	#131	C₂³×C₇₃	1	2	yes	—
244	#124	—	2	2	no	—
245	Q₃₂	—	2	2	no	—
246	Q₃₂	—	4	1	no	—
247	Q₃₂	D₄×C₇₃	1	1	yes	characteristic
248	SD₃₂	—	2	2	no	—
249	SD₃₂	—	2	2	no	—
250	SD₃₂	—	2	2	no	—
251	SD₃₂	—	2	2	no	—
252	SD₃₂	D₄×C₇₃	1	2	yes	—
253	D₁₆	—	2	2	no	—
254	D₁₆	—	4	1	no	—
255	D₁₆	D₄×C₇₃	1	1	yes	characteristic
256	M₃₂	—	2	2	no	—
257	M₃₂	C₂³×C₇₃	1	2	yes	—
258	C₂×C₁₆	—	2	2	no	—
259	C₂×C₁₆	C₂³×C₇₃	1	1	yes	characteristic
260	C₂×C₁₆	C₂³×C₇₃	1	1	yes	characteristic
261	#108	D₄×C₇₃	1	1	yes	characteristic
262	#108	C₂³×C₇₃	1	2	yes	—
263	#104	—	2	2	no	—
264	#104	D₄×C₇₃	1	2	yes	—
265	#101	—	2	2	no	—
266	#100	—	2	2	no	—
267	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
268	#41	—	2	2	no	—
269	#41	—	4	2	no	—
270	#41	—	4	2	no	—
271	#41	—	4	2	no	—
272	#41	—	4	2	no	—
273	#41	—	8	2	no	—
274	#41	C₂×D₄×C₇₃	1	2	yes	—
275	C₂×Q₈	—	2	2	no	—
276	C₂×Q₈	—	4	2	no	—
277	C₂×Q₈	—	4	2	no	—
278	C₂×D₄	—	2	2	no	—
279	C₂×D₄	—	4	2	no	—
280	C₂×D₄	—	4	2	no	—
281	C₂×D₄	—	8	2	no	—
282	Q₁₆	—	2	2	no	—
283	Q₁₆	—	2	2	no	—
284	Q₁₆	—	4	2	no	—
285	Q₁₆	—	4	2	no	—
286	Q₁₆	D₈×C₇₃	1	1	yes	characteristic
287	Q₁₆	C₂×D₄×C₇₃	1	2	yes	—
288	SD₁₆	—	2	2	no	—
289	SD₁₆	—	4	2	no	—
290	SD₁₆	—	4	2	no	—
291	SD₁₆	—	4	2	no	—
292	SD₁₆	—	4	2	no	—
293	SD₁₆	—	4	2	no	—
294	SD₁₆	—	4	2	no	—
295	SD₁₆	D₈×C₇₃	1	2	yes	—
296	D₈	—	2	2	no	—
297	D₈	—	2	2	no	—
298	D₈	—	4	2	no	—
299	D₈	—	4	2	no	—
300	D₈	D₈×C₇₃	1	1	yes	characteristic
301	D₈	C₂×D₄×C₇₃	1	2	yes	—
302	M₁₆	—	2	2	no	—
303	M₁₆	—	2	2	no	—
304	M₁₆	—	4	2	no	—
305	M₁₆	C₂×D₄×C₇₃	1	2	yes	—
306	C₂×C₈	—	2	2	no	—
307	C₂×C₈	—	4	2	no	—
308	C₂×C₈	C₂×D₄×C₇₃	1	1	yes	characteristic
309	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
310	C₂²⋊C₄	—	8	2	no	—
311	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
312	C₁₆	—	2	2	no	—
313	C₁₆	—	2	1	no	—
314	C₁₆	C₂×D₄×C₇₃	1	1	yes	characteristic
315	C₁₆	C₂×D₄×C₇₃	1	1	yes	characteristic
316	C₂³	—	4	2	no	—
317	C₂³	—	8	2	no	—
318	Q₈	—	2	2	no	—
319	Q₈	—	4	2	no	—
320	Q₈	—	4	2	no	—
321	Q₈	—	8	2	no	—
322	Q₈	C₂×D₈×C₇₃	1	2	yes	—
323	D₄	—	2	2	no	—
324	D₄	—	2	2	no	—
325	D₄	—	4	2	no	—
326	D₄	—	4	2	no	—
327	D₄	—	4	2	no	—
328	D₄	—	8	2	no	—
329	D₄	—	8	2	no	—
330	D₄	—	8	2	no	—
331	D₄	C₂×D₈×C₇₃	1	2	yes	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	2	1	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	8	2	no	—
337	C₂×C₄	—	8	2	no	—
338	C₂×C₄	—	8	2	no	—
339	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
340	C₈	—	2	2	no	—
341	C₈	—	4	2	no	—
342	C₈	C₂×D₈×C₇₃	1	1	yes	characteristic
343	C₈	C₂×D₈×C₇₃	1	1	yes	characteristic
344	C₈	C₂²×D₄×C₇₃	1	1	yes	characteristic
345	C₈	H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
346	C₂²	—	2	2	no	—
347	C₂²	—	4	2	no	—
348	C₂²	—	8	2	no	—
349	C₂²	—	16	2	no	—
350	C₂²	—	32	2	no	—
351	C₂²	#576×C₇₃	1	1	yes	characteristic
352	C₄	—	2	2	no	—
353	C₄	—	4	1	no	—
354	C₄	—	4	2	no	—
355	C₄	—	8	2	no	—
356	C₄	D₄²×C₇₃	1	1	yes	characteristic
357	C₄	C₂²×D₈×C₇₃	1	1	yes	characteristic
358	C₂	—	2	1	no	—
359	C₂	—	4	2	no	—
360	C₂	—	8	2	no	—
361	C₂	—	16	2	no	—
362	C₂	D₄×D₈×C₇₃	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂×C₇₃	D₄×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₇₃
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₇₃ ◁ C₂×C₄×C₇₃ ◁ #443×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇₃×#3416	C₂	semidirect
2. C₇₃×#3290	C₂	semidirect
3. C₇₃×#2249	C₂	semidirect
4. C₇₃×#2223	C₂	semidirect
5. C₇₃×#2212	C₂	semidirect
6. C₇₃×#2195	C₂	semidirect
7. C₇₃×#2192	C₂	semidirect
8. C₇₃×#2178	C₂	semidirect
9. C₇₃×#2170	C₂	semidirect
12. #576×C₇₃	C₂²	semidirect
14. #510×C₇₃	C₂²	semidirect
19. C₂×Q₃₂×C₇₃	C₂²	semidirect
21. C₂×SD₃₂×C₇₃	C₂²	semidirect
23. #504×C₇₃	C₂²	semidirect
24. #495×C₇₃	C₂²	semidirect
25. #473×C₇₃	C₂²	semidirect
31. #443×C₇₃	C₂²	semidirect
32. #368×C₇₃	C₂²	semidirect
33. #364×C₇₃	C₂²	semidirect
34. #362×C₇₃	C₂²	semidirect
35. #361×C₇₃	C₂²	semidirect
36. #359×C₇₃	C₂²	semidirect
37. #350×C₇₃	C₂²	semidirect
38. C₄×C₁₆×C₇₃	C₂²	semidirect
176. #33857	C₇₃	direct (N × H)
182. #3416	C₂×C₇₃	semidirect
183. #3290	C₂×C₇₃	semidirect
184. #2249	C₂×C₇₃	semidirect
185. #2223	C₂×C₇₃	semidirect
186. #2212	C₂×C₇₃	semidirect
187. #2195	C₂×C₇₃	semidirect
188. #2192	C₂×C₇₃	semidirect
189. #2178	C₂×C₇₃	semidirect
190. #2170	C₂×C₇₃	semidirect
191. C₇₃	#33857	direct (N × H)
194. #576	C₂²×C₇₃	semidirect
196. #510	C₂²×C₇₃	semidirect
201. C₂×Q₃₂	C₂²×C₇₃	semidirect
203. C₂×SD₃₂	C₂²×C₇₃	semidirect
205. #504	C₂²×C₇₃	semidirect
206. #495	C₂²×C₇₃	semidirect
207. #473	C₂²×C₇₃	semidirect
213. #443	C₂²×C₇₃	semidirect
214. #368	C₂²×C₇₃	semidirect
215. #364	C₂²×C₇₃	semidirect
216. #362	C₂²×C₇₃	semidirect
217. #361	C₂²×C₇₃	semidirect
218. #359	C₂²×C₇₃	semidirect
219. #350	C₂²×C₇₃	semidirect
220. C₄×C₁₆	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×#3416	2
C₇₃×#3290	2
C₇₃×#2249	2
C₇₃×#2223	2
C₇₃×#2212	2
C₇₃×#2195	2
C₇₃×#2192	2
C₇₃×#2178	2
C₇₃×#2170	2
#33857	73

Subgroups — C73×#33857 #32943261

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#33857 #32943261