Subgroups — C₇₃×#23461 #32932865

Order 18688.

1222 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3458	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₃×#2896	C₂	1	2	yes	maximal
3	C₇₃×#2297	C₂	1	1	yes	maximal, characteristic
4	C₇₃×#2028	C₂	1	4	yes	maximal, complemented
5	C₇₃×#2027	C₂	1	4	yes	maximal, complemented
6	C₇₃×#1742	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#339×C₇₃	C₂	1	2	yes	maximal, complemented
8	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic
9	C₂²×M₁₆×C₇₃	C₂²	1	2	yes	—
10	#544×C₇₃	—	2	4	no	—
11	#544×C₇₃	C₂²	1	4	yes	—
12	#543×C₇₃	—	2	2	no	—
13	#533×C₇₃	—	2	4	no	—
14	#533×C₇₃	—	2	2	no	—
15	C₂×#117×C₇₃	C₂²	1	2	yes	—
16	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
17	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
18	#419×C₇₃	C₂²	1	4	yes	—
19	#418×C₇₃	C₂²	1	4	yes	—
20	#417×C₇₃	—	2	4	no	—
21	#416×C₇₃	—	2	4	no	—
22	#391×C₇₃	C₂²	1	2	yes	—
23	#390×C₇₃	C₂²	1	2	yes	—
24	#386×C₇₃	—	2	2	no	—
25	C₄×C₂²⋊C₄×C₇₃	—	2	2	no	—
26	#343×C₇₃	C₂²	1	4	yes	—
27	#339×C₇₃	C₂²	1	8	yes	—
28	C₂×#41×C₇₃	—	2	2	no	—
29	C₂×#41×C₇₃	—	2	2	no	—
30	C₂×#41×C₇₃	—	2	2	no	—
31	C₂×#41×C₇₃	—	2	4	no	—
32	C₂×#41×C₇₃	Q₈	1	4	yes	complemented
33	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
34	C₂²×D₄×C₇₃	—	2	1	no	—
35	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
36	C₂³×C₄×C₇₃	—	2	1	no	—
37	C₂³×C₄×C₇₃	—	2	1	no	—
38	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
39	C₂×M₁₆×C₇₃	—	2	2	no	—
40	C₂×M₁₆×C₇₃	—	2	4	no	—
41	C₂×M₁₆×C₇₃	—	2	4	no	—
42	C₂×M₁₆×C₇₃	C₂³	1	4	yes	—
43	C₂²×C₈×C₇₃	—	2	2	no	—
44	C₄⋊Q₈×C₇₃	—	2	4	no	—
45	C₄⋊Q₈×C₇₃	—	2	8	no	—
46	#125×C₇₃	—	2	4	no	—
47	#125×C₇₃	—	2	8	no	—
48	C₂²⋊Q₈×C₇₃	—	2	16	no	—
49	C₂²⋊Q₈×C₇₃	—	2	8	no	—
50	C₄×Q₈×C₇₃	—	2	8	no	—
51	#117×C₇₃	—	2	2	no	—
52	#117×C₇₃	—	2	2	no	—
53	#117×C₇₃	—	2	2	no	—
54	#117×C₇₃	—	2	2	no	—
55	#117×C₇₃	D₄	1	4	yes	—
56	#117×C₇₃	C₂³	1	4	yes	—
57	C₂×C₄⋊C₄×C₇₃	D₄	1	4	yes	—
58	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
59	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
60	C₂×C₂²⋊C₄×C₇₃	—	2	4	no	—
61	C₂×C₂²⋊C₄×C₇₃	D₄	1	2	yes	—
62	C₂×C₄²×C₇₃	—	2	2	no	—
63	C₂×C₄²×C₇₃	—	2	4	no	—
64	C₂×C₄²×C₇₃	—	2	1	no	—
65	C₂×C₄²×C₇₃	D₄	1	2	yes	—
66	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
67	#103×C₇₃	—	2	8	no	—
68	#102×C₇₃	—	2	8	no	—
69	#95×C₇₃	—	2	4	no	—
70	C₂⁴×C₇₃	—	2	1	no	—
71	C₂⁴×C₇₃	C₂×D₄	1	1	yes	characteristic
72	#41×C₇₃	—	2	8	no	—
73	#41×C₇₃	—	2	8	no	—
74	#41×C₇₃	—	4	4	no	—
75	#41×C₇₃	—	4	4	no	—
76	C₂×Q₈×C₇₃	—	2	8	no	—
77	C₂×Q₈×C₇₃	—	2	1	no	—
78	C₂×Q₈×C₇₃	—	2	2	no	—
79	C₂×Q₈×C₇₃	—	2	2	no	—
80	C₂×Q₈×C₇₃	C₂×Q₈	1	2	yes	—
81	C₂×D₄×C₇₃	—	2	4	no	—
82	C₂×D₄×C₇₃	—	2	2	no	—
83	C₂×D₄×C₇₃	—	2	2	no	—
84	C₂×D₄×C₇₃	—	2	1	no	—
85	C₂×D₄×C₇₃	—	4	2	no	—
86	C₂×D₄×C₇₃	—	4	2	no	—
87	C₂×D₄×C₇₃	C₂×Q₈	1	2	yes	—
88	C₂²×C₄×C₇₃	—	2	1	no	—
89	C₂²×C₄×C₇₃	—	2	2	no	—
90	C₂²×C₄×C₇₃	—	2	4	no	—
91	C₂²×C₄×C₇₃	—	2	4	no	—
92	C₂²×C₄×C₇₃	—	4	4	no	—
93	C₂²×C₄×C₇₃	—	4	2	no	—
94	C₂²×C₄×C₇₃	—	4	1	no	—
95	C₂²×C₄×C₇₃	—	4	1	no	—
96	C₂²×C₄×C₇₃	—	4	2	no	—
97	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
98	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
100	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
101	C₂²×C₄×C₇₃	C₂×Q₈	1	2	yes	—
102	C₂²×C₄×C₇₃	#41	1	4	yes	—
103	C₂²×C₄×C₇₃	#41	1	2	yes	—
104	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
105	M₁₆×C₇₃	—	2	4	no	—
106	M₁₆×C₇₃	—	2	4	no	—
107	M₁₆×C₇₃	—	4	4	no	—
108	C₂×C₈×C₇₃	—	2	4	no	—
109	C₂×C₈×C₇₃	—	4	4	no	—
110	C₄⋊C₄×C₇₃	—	2	16	no	—
111	C₄⋊C₄×C₇₃	—	2	8	no	—
112	C₄⋊C₄×C₇₃	—	2	4	no	—
113	C₄⋊C₄×C₇₃	—	2	4	no	—
114	C₄⋊C₄×C₇₃	C₂×D₄	1	8	yes	—
115	C₂²⋊C₄×C₇₃	—	2	4	no	—
116	C₂²⋊C₄×C₇₃	—	2	4	no	—
117	C₂²⋊C₄×C₇₃	—	2	4	no	—
118	C₂²⋊C₄×C₇₃	—	4	8	no	—
119	C₄²×C₇₃	—	2	2	no	—
120	C₄²×C₇₃	—	2	4	no	—
121	C₄²×C₇₃	—	2	2	no	—
122	C₄²×C₇₃	—	2	4	no	—
123	C₄²×C₇₃	—	2	4	no	—
124	C₄²×C₇₃	—	4	2	no	—
125	C₂³×C₇₃	—	2	2	no	—
126	C₂³×C₇₃	—	4	2	no	—
127	C₂³×C₇₃	—	4	4	no	—
128	C₂³×C₇₃	—	4	1	no	—
129	C₂³×C₇₃	—	4	1	no	—
130	C₂³×C₇₃	#120	1	2	yes	—
131	C₂³×C₇₃	C₂²⋊Q₈	1	2	yes	—
132	C₂³×C₇₃	#124	1	2	yes	—
133	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
134	Q₈×C₇₃	—	2	4	no	—
135	Q₈×C₇₃	—	4	2	no	—
136	Q₈×C₇₃	—	8	8	no	—
137	D₄×C₇₃	—	2	4	no	—
138	D₄×C₇₃	—	4	8	no	—
139	D₄×C₇₃	—	4	2	no	—
140	C₂×C₄×C₇₃	—	2	4	no	—
141	C₂×C₄×C₇₃	—	2	4	no	—
142	C₂×C₄×C₇₃	—	2	8	no	—
143	C₂×C₄×C₇₃	—	2	2	no	—
144	C₂×C₄×C₇₃	—	4	2	no	—
145	C₂×C₄×C₇₃	—	4	8	no	—
146	C₂×C₄×C₇₃	—	4	1	no	—
147	C₂×C₄×C₇₃	—	4	2	no	—
148	C₂×C₄×C₇₃	—	4	1	no	—
149	C₂×C₄×C₇₃	—	4	4	no	—
150	C₂×C₄×C₇₃	—	4	4	no	—
151	C₂×C₄×C₇₃	—	4	4	no	—
152	C₂×C₄×C₇₃	—	8	4	no	—
153	C₂×C₄×C₇₃	#120	1	1	yes	characteristic
154	C₂×C₄×C₇₃	#120	1	1	yes	characteristic
155	C₂×C₄×C₇₃	C₂²⋊Q₈	1	4	yes	—
156	C₂×C₄×C₇₃	C₂²⋊Q₈	1	4	yes	—
157	C₂×C₄×C₇₃	C₂²⋊Q₈	1	2	yes	—
158	C₂×C₄×C₇₃	#124	1	4	yes	—
159	C₂×C₄×C₇₃	#124	1	4	yes	—
160	C₂×C₄×C₇₃	#124	1	2	yes	—
161	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
162	C₂×C₄×C₇₃	C₂²×Q₈	1	1	yes	characteristic
163	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
164	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
165	C₈×C₇₃	—	4	4	no	—
166	C₂²×C₇₃	—	2	2	no	—
167	C₂²×C₇₃	—	2	4	no	—
168	C₂²×C₇₃	—	4	2	no	—
169	C₂²×C₇₃	—	4	2	no	—
170	C₂²×C₇₃	—	4	4	no	—
171	C₂²×C₇₃	—	4	2	no	—
172	C₂²×C₇₃	—	8	2	no	—
173	C₂²×C₇₃	—	8	2	no	—
174	C₂²×C₇₃	#393	1	4	yes	—
175	C₂²×C₇₃	C₂×#120	1	1	yes	characteristic
176	C₂²×C₇₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
177	C₂²×C₇₃	C₂×#124	1	1	yes	characteristic
178	C₄×C₇₃	—	4	4	no	—
179	C₄×C₇₃	—	4	2	no	—
180	C₄×C₇₃	—	4	4	no	—
181	C₄×C₇₃	—	4	8	no	—
182	C₄×C₇₃	#393	1	2	yes	—
183	C₄×C₇₃	#393	1	2	yes	—
184	C₄×C₇₃	C₂×C₂²⋊Q₈	1	2	yes	—
185	C₄×C₇₃	C₂×#124	1	2	yes	—
186	#23461	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
187	C₂×C₇₃	—	2	1	no	—
188	C₂×C₇₃	—	2	1	no	—
189	C₂×C₇₃	—	2	4	no	—
190	C₂×C₇₃	—	8	2	no	—
191	C₂×C₇₃	C₂×#393	1	1	yes	characteristic
192	C₂×C₇₃	#3018	1	2	yes	—
193	#3458	C₂×C₇₃	1	1	yes	characteristic, complemented
194	#2896	C₂×C₇₃	1	2	yes	—
195	#2297	C₂×C₇₃	1	1	yes	characteristic
196	#2028	C₂×C₇₃	1	4	yes	complemented
197	#2027	C₂×C₇₃	1	4	yes	complemented
198	#1742	C₂×C₇₃	1	1	yes	characteristic, complemented
199	C₂×#339	C₂×C₇₃	1	2	yes	complemented
200	C₇₃	#23461	1	1	yes	characteristic, direct product factor, Sylow
201	C₂²×#41	C₂²×C₇₃	1	1	yes	characteristic
202	C₂²×M₁₆	C₂²×C₇₃	1	2	yes	—
203	#544	—	2	4	no	—
204	#544	C₂²×C₇₃	1	4	yes	—
205	#543	—	2	2	no	—
206	#533	—	2	4	no	—
207	#533	—	2	2	no	—
208	C₂×#117	C₂²×C₇₃	1	2	yes	—
209	C₂×#117	C₂²×C₇₃	1	1	yes	characteristic
210	C₂²×C₄²	C₂²×C₇₃	1	1	yes	characteristic
211	#419	C₂²×C₇₃	1	4	yes	—
212	#418	C₂²×C₇₃	1	4	yes	—
213	#417	—	2	4	no	—
214	#416	—	2	4	no	—
215	#391	C₂²×C₇₃	1	2	yes	—
216	#390	C₂²×C₇₃	1	2	yes	—
217	#386	—	2	2	no	—
218	C₄×C₂²⋊C₄	—	2	2	no	—
219	#343	C₂²×C₇₃	1	4	yes	—
220	#339	C₂²×C₇₃	1	8	yes	—
221	C₂×#41	—	2	2	no	—
222	C₂×#41	—	2	2	no	—
223	C₂×#41	—	2	2	no	—
224	C₂×#41	—	2	4	no	—
225	C₂×#41	Q₈×C₇₃	1	4	yes	complemented
226	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
227	C₂²×D₄	—	2	1	no	—
228	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
229	C₂³×C₄	—	2	1	no	—
230	C₂³×C₄	—	2	1	no	—
231	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
232	C₂×M₁₆	—	2	2	no	—
233	C₂×M₁₆	—	2	4	no	—
234	C₂×M₁₆	—	2	4	no	—
235	C₂×M₁₆	C₂³×C₇₃	1	4	yes	—
236	C₂²×C₈	—	2	2	no	—
237	C₄⋊Q₈	—	2	4	no	—
238	C₄⋊Q₈	—	2	8	no	—
239	#125	—	2	4	no	—
240	#125	—	2	8	no	—
241	C₂²⋊Q₈	—	2	16	no	—
242	C₂²⋊Q₈	—	2	8	no	—
243	C₄×Q₈	—	2	8	no	—
244	#117	—	2	2	no	—
245	#117	—	2	2	no	—
246	#117	—	2	2	no	—
247	#117	—	2	2	no	—
248	#117	D₄×C₇₃	1	4	yes	—
249	#117	C₂³×C₇₃	1	4	yes	—
250	C₂×C₄⋊C₄	D₄×C₇₃	1	4	yes	—
251	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
252	C₂×C₂²⋊C₄	—	2	2	no	—
253	C₂×C₂²⋊C₄	—	2	4	no	—
254	C₂×C₂²⋊C₄	D₄×C₇₃	1	2	yes	—
255	C₂×C₄²	—	2	2	no	—
256	C₂×C₄²	—	2	4	no	—
257	C₂×C₄²	—	2	1	no	—
258	C₂×C₄²	D₄×C₇₃	1	2	yes	—
259	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
260	#103	—	2	8	no	—
261	#102	—	2	8	no	—
262	#95	—	2	4	no	—
263	C₂⁴	—	2	1	no	—
264	C₂⁴	C₂×D₄×C₇₃	1	1	yes	characteristic
265	#41	—	2	8	no	—
266	#41	—	2	8	no	—
267	#41	—	4	4	no	—
268	#41	—	4	4	no	—
269	C₂×Q₈	—	2	8	no	—
270	C₂×Q₈	—	2	1	no	—
271	C₂×Q₈	—	2	2	no	—
272	C₂×Q₈	—	2	2	no	—
273	C₂×Q₈	C₂×Q₈×C₇₃	1	2	yes	—
274	C₂×D₄	—	2	4	no	—
275	C₂×D₄	—	2	2	no	—
276	C₂×D₄	—	2	2	no	—
277	C₂×D₄	—	2	1	no	—
278	C₂×D₄	—	4	2	no	—
279	C₂×D₄	—	4	2	no	—
280	C₂×D₄	C₂×Q₈×C₇₃	1	2	yes	—
281	C₂²×C₄	—	2	1	no	—
282	C₂²×C₄	—	2	2	no	—
283	C₂²×C₄	—	2	4	no	—
284	C₂²×C₄	—	2	4	no	—
285	C₂²×C₄	—	4	4	no	—
286	C₂²×C₄	—	4	2	no	—
287	C₂²×C₄	—	4	1	no	—
288	C₂²×C₄	—	4	1	no	—
289	C₂²×C₄	—	4	2	no	—
290	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
291	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
292	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
293	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
294	C₂²×C₄	C₂×Q₈×C₇₃	1	2	yes	—
295	C₂²×C₄	#41×C₇₃	1	4	yes	—
296	C₂²×C₄	#41×C₇₃	1	2	yes	—
297	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
298	M₁₆	—	2	4	no	—
299	M₁₆	—	2	4	no	—
300	M₁₆	—	4	4	no	—
301	C₂×C₈	—	2	4	no	—
302	C₂×C₈	—	4	4	no	—
303	C₄⋊C₄	—	2	16	no	—
304	C₄⋊C₄	—	2	8	no	—
305	C₄⋊C₄	—	2	4	no	—
306	C₄⋊C₄	—	2	4	no	—
307	C₄⋊C₄	C₂×D₄×C₇₃	1	8	yes	—
308	C₂²⋊C₄	—	2	4	no	—
309	C₂²⋊C₄	—	2	4	no	—
310	C₂²⋊C₄	—	2	4	no	—
311	C₂²⋊C₄	—	4	8	no	—
312	C₄²	—	2	4	no	—
313	C₄²	—	2	2	no	—
314	C₄²	—	2	2	no	—
315	C₄²	—	2	4	no	—
316	C₄²	—	2	4	no	—
317	C₄²	—	4	2	no	—
318	C₂³	—	2	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	—	4	4	no	—
321	C₂³	—	4	1	no	—
322	C₂³	—	4	1	no	—
323	C₂³	#120×C₇₃	1	2	yes	—
324	C₂³	C₂²⋊Q₈×C₇₃	1	2	yes	—
325	C₂³	#124×C₇₃	1	2	yes	—
326	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
327	Q₈	—	2	4	no	—
328	Q₈	—	4	2	no	—
329	Q₈	—	8	8	no	—
330	D₄	—	2	4	no	—
331	D₄	—	4	8	no	—
332	D₄	—	4	2	no	—
333	C₂×C₄	—	2	4	no	—
334	C₂×C₄	—	2	4	no	—
335	C₂×C₄	—	2	8	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	4	8	no	—
339	C₂×C₄	—	4	1	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	4	no	—
343	C₂×C₄	—	4	4	no	—
344	C₂×C₄	—	4	4	no	—
345	C₂×C₄	—	8	4	no	—
346	C₂×C₄	#120×C₇₃	1	1	yes	characteristic
347	C₂×C₄	#120×C₇₃	1	1	yes	characteristic
348	C₂×C₄	C₂²⋊Q₈×C₇₃	1	2	yes	—
349	C₂×C₄	C₂²⋊Q₈×C₇₃	1	4	yes	—
350	C₂×C₄	C₂²⋊Q₈×C₇₃	1	4	yes	—
351	C₂×C₄	#124×C₇₃	1	2	yes	—
352	C₂×C₄	#124×C₇₃	1	4	yes	—
353	C₂×C₄	#124×C₇₃	1	4	yes	—
354	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
355	C₂×C₄	C₂²×Q₈×C₇₃	1	1	yes	characteristic
356	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
357	C₂×C₄	C₂×#41×C₇₃	1	1	yes	characteristic
358	C₈	—	4	4	no	—
359	C₂²	—	2	2	no	—
360	C₂²	—	2	4	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	2	no	—
363	C₂²	—	4	4	no	—
364	C₂²	—	4	2	no	—
365	C₂²	—	8	2	no	—
366	C₂²	—	8	2	no	—
367	C₂²	#393×C₇₃	1	4	yes	—
368	C₂²	C₂×#120×C₇₃	1	1	yes	characteristic
369	C₂²	C₂×C₂²⋊Q₈×C₇₃	1	1	yes	characteristic
370	C₂²	C₂×#124×C₇₃	1	1	yes	characteristic
371	C₄	—	4	4	no	—
372	C₄	—	4	4	no	—
373	C₄	—	4	8	no	—
374	C₄	—	4	2	no	—
375	C₄	#393×C₇₃	1	2	yes	—
376	C₄	#393×C₇₃	1	2	yes	—
377	C₄	C₂×C₂²⋊Q₈×C₇₃	1	2	yes	—
378	C₄	C₂×#124×C₇₃	1	2	yes	—
379	C₂	—	2	1	no	—
380	C₂	—	2	1	no	—
381	C₂	—	2	4	no	—
382	C₂	—	8	2	no	—
383	C₂	C₂×#393×C₇₃	1	1	yes	characteristic
384	C₂	C₇₃×#3018	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₇₃	#120
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₇₃
socle	C₂²×C₇₃	C₂×#120
prime radical	C₂²×#41×C₇₃	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇₃ ◁ C₂³×C₄×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇₃×#3458	C₂	semidirect
4. C₇₃×#2028	C₂	semidirect
5. C₇₃×#2027	C₂	semidirect
6. C₇₃×#1742	C₂	semidirect
7. C₂×#339×C₇₃	C₂	semidirect
32. C₂×#41×C₇₃	Q₈	semidirect
186. #23461	C₇₃	direct (N × H)
193. #3458	C₂×C₇₃	semidirect
196. #2028	C₂×C₇₃	semidirect
197. #2027	C₂×C₇₃	semidirect
198. #1742	C₂×C₇₃	semidirect
199. C₂×#339	C₂×C₇₃	semidirect
200. C₇₃	#23461	direct (N × H)
225. C₂×#41	Q₈×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₇₃×#3458	2
C₇₃×#2896	2
C₇₃×#2297	2
C₇₃×#2028	2
C₇₃×#2027	2
C₇₃×#1742	2
C₂×#339×C₇₃	2
#23461	73

Subgroups — C73×#23461 #32932865

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#23461 #32932865