Subgroups — #33054992

Order 18688.

762 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22618563	C₂	1	2	yes	maximal
2	C₂×C₄×C₈×D₇₃	C₂	1	1	yes	maximal, characteristic
3	#22608691	C₂	1	4	yes	maximal, complemented
4	#22608689	C₂	1	2	yes	maximal, complemented
5	#22608687	C₂	1	1	yes	maximal, characteristic, complemented
6	#22608676	C₂	1	4	yes	maximal, complemented
7	C₇₃×#1566	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×C₈×D₇₃	C₄	1	2	yes	—
9	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic
10	#17988643	—	2	2	no	—
11	#17988643	C₂²	1	4	yes	—
12	#17988639	—	2	2	no	—
13	#17988639	C₂²	1	4	yes	—
14	#17988611	C₂²	1	2	yes	—
15	#17988550	—	2	2	no	—
16	M₁₆×Dic₇₃	—	2	2	no	—
17	C₂×C₄×#10596831	C₂²	1	1	yes	characteristic
18	C₂×C₈×Dic₇₃	C₄	1	2	yes	—
19	C₄×C₈×D₇₃	C₄	1	1	yes	characteristic
20	C₄×C₈×D₇₃	C₄	1	1	yes	characteristic
21	C₄×C₈×D₇₃	C₄	1	1	yes	characteristic
22	C₄×C₈×D₇₃	C₄	1	1	yes	characteristic
23	C₄×C₈×D₇₃	C₂²	1	2	yes	—
24	C₄×C₈×D₇₃	C₂²	1	2	yes	—
25	#17988339	C₂²	1	8	yes	complemented
26	#17988338	C₂²	1	4	yes	complemented
27	#423×C₇₃	C₂²	1	2	yes	—
28	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
29	#334×C₇₃	C₂²	1	4	yes	complemented
30	C₂²×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
31	C₂²×C₄×D₇₃	D₄	1	1	yes	characteristic
32	C₂²×C₄×D₇₃	Q₈	1	1	yes	characteristic
33	C₂×#11924012	—	2	2	no	—
34	C₂²×#10596831	C₂×C₄	1	2	yes	—
35	C₂×C₈×D₇₃	—	2	8	no	—
36	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
37	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
38	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
39	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
40	C₂×C₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic
41	C₂×C₄×Dic₇₃	D₄	1	1	yes	characteristic
42	C₂×C₄×Dic₇₃	Q₈	1	1	yes	characteristic
43	C₄²×D₇₃	C₂×C₄	1	1	yes	characteristic
44	C₄²×D₇₃	C₂×C₄	1	1	yes	characteristic
45	C₄²×D₇₃	D₄	1	1	yes	characteristic
46	C₄²×D₇₃	D₄	1	1	yes	characteristic
47	C₄²×D₇₃	Q₈	1	1	yes	characteristic
48	C₄²×D₇₃	Q₈	1	1	yes	characteristic
49	C₄²×D₇₃	C₂³	1	1	yes	characteristic
50	C₄²×D₇₃	C₂³	1	1	yes	characteristic
51	C₄⋊#10596831	—	2	2	no	—
52	C₄⋊#10596831	C₂³	1	4	yes	—
53	#14556503	—	2	4	no	—
54	#14556503	—	2	4	no	—
55	#14556501	—	2	4	no	—
56	C₄×#10596831	C₂×C₄	1	1	yes	characteristic
57	C₄×#10596831	C₂×C₄	1	1	yes	characteristic
58	C₄×#10596831	C₂³	1	2	yes	—
59	C₈×Dic₇₃	—	2	4	no	—
60	C₈×Dic₇₃	C₂×C₄	1	2	yes	—
61	C₈×Dic₇₃	C₂×C₄	1	2	yes	—
62	C₈×Dic₇₃	C₂×C₄	1	2	yes	—
63	C₈×Dic₇₃	C₂×C₄	1	2	yes	—
64	C₂×M₁₆×C₇₃	—	2	2	no	—
65	C₂²×C₈×C₇₃	C₂×C₄	1	2	yes	—
66	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
67	C₄⋊C₈×C₇₃	—	2	2	no	—
68	C₄⋊C₈×C₇₃	C₂³	1	4	yes	—
69	C₄×C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
70	C₄×C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
71	C₄×C₈×C₇₃	C₂³	1	2	yes	—
72	C₂³×D₇₃	C₄⋊C₄	1	1	yes	characteristic
73	C₂²×Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
74	C₂²×Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
75	C₂²×Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
76	C₂×C₄×D₇₃	—	2	4	no	—
77	C₂×C₄×D₇₃	—	2	4	no	—
78	C₂×C₄×D₇₃	—	2	4	no	—
79	C₂×C₄×D₇₃	C₄⋊C₄	1	1	yes	characteristic
80	C₂×C₄×D₇₃	C₄⋊C₄	1	1	yes	characteristic
81	C₂×C₄×D₇₃	C₄⋊C₄	1	1	yes	characteristic
82	C₂×C₄×D₇₃	C₄⋊C₄	1	1	yes	characteristic
83	C₂×C₄×D₇₃	C₄⋊C₄	1	1	yes	characteristic
84	C₂×C₄×D₇₃	C₄⋊C₄	1	1	yes	characteristic
85	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
86	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
87	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
88	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
89	C₂×C₄×D₇₃	C₂×Q₈	1	1	yes	characteristic
90	C₂×C₄×D₇₃	C₂×Q₈	1	1	yes	characteristic
91	#11924012	—	4	4	no	—
92	C₂×#10596831	—	2	4	no	—
93	C₂×#10596831	—	2	4	no	—
94	C₂×#10596831	C₂²×C₄	1	2	yes	—
95	C₂×#10596831	C₂²×C₄	1	2	yes	—
96	C₈×D₇₃	—	2	4	no	—
97	C₈×D₇₃	—	2	4	no	—
98	C₈×D₇₃	—	2	4	no	—
99	C₈×D₇₃	M₁₆	1	8	yes	complemented
100	C₄×Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
101	C₄×Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
102	C₄×Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
103	C₄×Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
104	C₄×Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
105	C₄×Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
106	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
107	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
108	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
109	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
110	C₄×Dic₇₃	C₂×Q₈	1	1	yes	characteristic
111	C₄×Dic₇₃	C₂×Q₈	1	1	yes	characteristic
112	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
113	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
114	C₂²×C₄×C₇₃	C₂×Q₈	1	1	yes	characteristic
115	M₁₆×C₇₃	—	4	4	no	—
116	C₂×C₈×C₇₃	—	2	4	no	—
117	C₂×C₈×C₇₃	—	2	4	no	—
118	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
119	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
120	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
121	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₇₃	C₂×Q₈	1	1	yes	characteristic
123	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
124	C₂³×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
125	C₂²×D₇₃	—	2	2	no	—
126	C₂²×D₇₃	—	2	2	no	—
127	C₂²×D₇₃	—	2	2	no	—
128	C₂²×D₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
129	C₂²×D₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
130	C₂×C₄×C₇₃	—	2	2	no	—
131	C₂×C₄×C₇₃	—	2	2	no	—
132	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
133	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
134	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
135	C₂×C₄×C₇₃	#135	1	4	yes	—
136	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
137	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
138	C₂×C₄×C₇₃	C₂²×Q₈	1	1	yes	characteristic
139	C₂×Dic₇₃	—	2	2	no	—
140	C₂×Dic₇₃	—	2	2	no	—
141	C₂×Dic₇₃	—	2	2	no	—
142	C₂×Dic₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
143	C₂×Dic₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
144	C₂×Dic₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
145	C₂×Dic₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
146	C₂×Dic₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
147	C₂×Dic₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
148	C₄×D₇₃	—	2	2	no	—
149	C₄×D₇₃	—	2	2	no	—
150	C₄×D₇₃	—	2	2	no	—
151	C₄×D₇₃	—	2	2	no	—
152	C₄×D₇₃	—	2	2	no	—
153	C₄×D₇₃	—	2	2	no	—
154	C₄×D₇₃	—	2	2	no	—
155	C₄×D₇₃	—	2	2	no	—
156	C₄×D₇₃	—	2	2	no	—
157	C₄×D₇₃	—	2	2	no	—
158	C₄×D₇₃	#108	1	4	yes	—
159	C₄×D₇₃	C₂×M₁₆	1	4	yes	—
160	C₈×C₇₃	—	2	2	no	—
161	C₈×C₇₃	—	4	4	no	—
162	C₈×C₇₃	C₂×M₁₆	1	4	yes	—
163	#10596831	—	2	2	no	—
164	#10596831	—	4	4	no	—
165	#10596831	C₂×M₁₆	1	4	yes	—
166	C₂²×C₇₃	—	2	1	no	—
167	C₂²×C₇₃	—	2	1	no	—
168	C₂²×C₇₃	#427	1	2	yes	—
169	C₂²×C₇₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
170	C₂×D₇₃	—	2	8	no	—
171	C₂×D₇₃	—	2	1	no	—
172	C₂×D₇₃	—	2	1	no	—
173	C₂×D₇₃	—	2	1	no	—
174	C₂×D₇₃	—	2	1	no	—
175	C₂×D₇₃	#423	1	2	yes	—
176	C₂×D₇₃	C₂×#108	1	2	yes	—
177	C₄×C₇₃	—	2	1	no	—
178	C₄×C₇₃	—	2	1	no	—
179	C₄×C₇₃	#427	1	2	yes	—
180	C₄×C₇₃	C₂×#108	1	2	yes	—
181	C₄×C₇₃	C₂²×M₁₆	1	2	yes	—
182	C₄×C₇₃	C₂×#135	1	2	yes	—
183	Dic₇₃	—	2	1	no	—
184	Dic₇₃	—	2	1	no	—
185	Dic₇₃	—	2	1	no	—
186	Dic₇₃	—	2	1	no	—
187	Dic₇₃	#423	1	2	yes	—
188	Dic₇₃	C₂×#108	1	2	yes	—
189	#17793	—	73	1	no	maximal, Sylow
190	C₂×C₇₃	—	2	2	no	—
191	C₂×C₇₃	C₂×#423	1	1	yes	characteristic
192	C₂×C₇₃	C₂×#427	1	1	yes	characteristic
193	C₂×C₇₃	C₂²×#108	1	1	yes	characteristic
194	D₇₃	—	2	2	no	—
195	D₇₃	—	2	2	no	—
196	#2920	—	73	2	no	—
197	C₂²×C₄×C₈	—	73	1	no	—
198	#1568	—	73	4	no	—
199	#1567	—	73	2	no	—
200	#1566	—	73	1	no	—
201	#1566	D₇₃	1	1	yes	characteristic, complemented
202	#1564	—	73	4	no	—
203	C₇₃	#17793	1	1	yes	characteristic, complemented, Sylow
204	C₂³×C₈	—	73	2	no	—
205	C₂²×C₄²	—	73	1	no	—
206	#432	—	73	4	no	—
207	#432	—	146	2	no	—
208	#431	—	73	4	no	—
209	#431	—	146	2	no	—
210	#423	—	73	2	no	—
211	#423	C₂×D₇₃	1	2	yes	—
212	#407	—	146	2	no	—
213	C₄×M₁₆	—	146	2	no	—
214	C₂×C₄×C₈	—	73	2	no	—
215	C₂×C₄×C₈	—	73	1	no	—
216	C₂×C₄×C₈	—	73	1	no	—
217	C₂×C₄×C₈	—	73	1	no	—
218	C₂×C₄×C₈	—	73	1	no	—
219	C₂×C₄×C₈	—	73	1	no	—
220	C₂×C₄×C₈	—	73	2	no	—
221	C₂×C₄×C₈	—	73	2	no	—
222	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
223	#335	—	73	8	no	—
224	#334	—	73	4	no	—
225	#334	C₂×D₇₃	1	4	yes	complemented
226	C₂³×C₄	—	73	1	no	—
227	C₂³×C₄	—	73	1	no	—
228	C₂³×C₄	—	73	1	no	—
229	C₂×M₁₆	—	2	2	no	—
230	C₂×M₁₆	—	146	2	no	—
231	C₂²×C₈	—	73	2	no	—
232	C₂²×C₈	—	73	2	no	—
233	C₂²×C₈	—	73	2	no	—
234	C₂²×C₈	—	73	2	no	—
235	C₂²×C₈	—	73	2	no	—
236	C₂²×C₈	—	146	8	no	—
237	C₂²×C₈	C₄×D₇₃	1	2	yes	—
238	C₂×C₄²	—	73	1	no	—
239	C₂×C₄²	—	73	1	no	—
240	C₂×C₄²	—	73	1	no	—
241	C₂×C₄²	—	73	1	no	—
242	C₂×C₄²	—	73	1	no	—
243	C₂×C₄²	—	73	1	no	—
244	C₂×C₄²	—	73	1	no	—
245	C₂×C₄²	—	73	1	no	—
246	C₂×C₄²	—	73	1	no	—
247	C₂×C₄²	—	73	1	no	—
248	C₂×C₄²	—	73	1	no	—
249	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
250	C₄⋊C₈	—	2	2	no	—
251	C₄⋊C₈	—	73	4	no	—
252	C₄⋊C₈	—	146	2	no	—
253	C₄⋊C₈	C₂²×D₇₃	1	4	yes	—
254	C₂²⋊C₈	—	146	4	no	—
255	C₂²⋊C₈	—	146	4	no	—
256	#97	—	146	4	no	—
257	C₄×C₈	—	73	2	no	—
258	C₄×C₈	—	73	2	no	—
259	C₄×C₈	—	73	2	no	—
260	C₄×C₈	—	73	2	no	—
261	C₄×C₈	—	73	1	no	—
262	C₄×C₈	—	73	1	no	—
263	C₄×C₈	—	73	2	no	—
264	C₄×C₈	—	146	4	no	—
265	C₄×C₈	C₄×D₇₃	1	1	yes	characteristic
266	C₄×C₈	C₄×D₇₃	1	1	yes	characteristic
267	C₄×C₈	C₂²×D₇₃	1	2	yes	—
268	C₂⁴	—	73	1	no	—
269	C₂²×C₄	—	73	1	no	—
270	C₂²×C₄	—	73	1	no	—
271	C₂²×C₄	—	73	1	no	—
272	C₂²×C₄	—	73	1	no	—
273	C₂²×C₄	—	73	1	no	—
274	C₂²×C₄	—	73	1	no	—
275	C₂²×C₄	—	73	1	no	—
276	C₂²×C₄	—	73	1	no	—
277	C₂²×C₄	—	73	1	no	—
278	C₂²×C₄	—	73	1	no	—
279	C₂²×C₄	—	73	1	no	—
280	C₂²×C₄	—	73	1	no	—
281	C₂²×C₄	—	73	1	no	—
282	C₂²×C₄	—	73	1	no	—
283	C₂²×C₄	—	73	1	no	—
284	C₂²×C₄	—	146	4	no	—
285	C₂²×C₄	—	146	4	no	—
286	C₂²×C₄	—	146	4	no	—
287	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
288	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
289	C₂²×C₄	Q₈×D₇₃	1	1	yes	characteristic
290	M₁₆	—	4	4	no	—
291	M₁₆	—	292	4	no	—
292	C₂×C₈	—	2	4	no	—
293	C₂×C₈	—	2	4	no	—
294	C₂×C₈	—	73	2	no	—
295	C₂×C₈	—	73	8	no	—
296	C₂×C₈	—	73	2	no	—
297	C₂×C₈	—	146	4	no	—
298	C₂×C₈	—	146	4	no	—
299	C₂×C₈	—	146	4	no	—
300	C₂×C₈	—	146	4	no	—
301	C₂×C₈	—	146	4	no	—
302	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
303	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
304	C₄²	—	73	1	no	—
305	C₄²	—	73	1	no	—
306	C₄²	—	73	1	no	—
307	C₄²	—	73	1	no	—
308	C₄²	—	73	1	no	—
309	C₄²	—	73	1	no	—
310	C₄²	—	73	1	no	—
311	C₄²	—	73	1	no	—
312	C₄²	—	73	1	no	—
313	C₄²	—	73	1	no	—
314	C₄²	—	73	1	no	—
315	C₄²	—	73	1	no	—
316	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
317	C₄²	D₄×D₇₃	1	1	yes	characteristic
318	C₄²	Q₈×D₇₃	1	1	yes	characteristic
319	C₄²	C₂³×D₇₃	1	1	yes	characteristic
320	C₂³	—	73	1	no	—
321	C₂³	—	73	1	no	—
322	C₂³	—	146	2	no	—
323	C₂³	—	146	2	no	—
324	C₂³	—	146	2	no	—
325	C₂³	C₄⋊C₄×D₇₃	1	1	yes	characteristic
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	73	1	no	—
329	C₂×C₄	—	73	1	no	—
330	C₂×C₄	—	73	4	no	—
331	C₂×C₄	—	73	4	no	—
332	C₂×C₄	—	73	1	no	—
333	C₂×C₄	—	73	1	no	—
334	C₂×C₄	—	73	1	no	—
335	C₂×C₄	—	73	1	no	—
336	C₂×C₄	—	146	2	no	—
337	C₂×C₄	—	146	2	no	—
338	C₂×C₄	—	146	2	no	—
339	C₂×C₄	—	146	2	no	—
340	C₂×C₄	—	146	2	no	—
341	C₂×C₄	—	146	2	no	—
342	C₂×C₄	—	146	2	no	—
343	C₂×C₄	—	146	2	no	—
344	C₂×C₄	—	146	2	no	—
345	C₂×C₄	—	146	2	no	—
346	C₂×C₄	—	146	2	no	—
347	C₂×C₄	—	146	2	no	—
348	C₂×C₄	—	146	2	no	—
349	C₂×C₄	C₄⋊C₄×D₇₃	1	1	yes	characteristic
350	C₂×C₄	C₄⋊C₄×D₇₃	1	1	yes	characteristic
351	C₂×C₄	C₄⋊C₄×D₇₃	1	1	yes	characteristic
352	C₂×C₄	#14556612	1	4	yes	—
353	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
354	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
355	C₂×C₄	C₂×Q₈×D₇₃	1	1	yes	characteristic
356	C₈	—	2	2	no	—
357	C₈	—	4	4	no	—
358	C₈	—	292	4	no	—
359	C₈	—	73	4	no	—
360	C₈	—	146	2	no	—
361	C₈	M₁₆×D₇₃	1	4	yes	—
362	C₂²	—	2	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	73	2	no	—
365	C₂²	—	73	2	no	—
366	C₂²	—	146	8	no	—
367	C₂²	—	146	1	no	—
368	C₂²	—	146	1	no	—
369	C₂²	—	146	1	no	—
370	C₂²	—	146	1	no	—
371	C₂²	#17988622	1	2	yes	—
372	C₂²	C₂×C₄⋊C₄×D₇₃	1	1	yes	characteristic
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	73	2	no	—
376	C₄	—	73	2	no	—
377	C₄	—	146	1	no	—
378	C₄	—	146	1	no	—
379	C₄	—	146	1	no	—
380	C₄	—	146	1	no	—
381	C₄	#17988622	1	2	yes	—
382	C₄	#108×D₇₃	1	2	yes	—
383	C₄	C₂×M₁₆×D₇₃	1	2	yes	—
384	C₄	C₂×#14556612	1	2	yes	—
385	C₂	—	2	2	no	—
386	C₂	—	146	2	no	—
387	C₂	—	146	2	no	—
388	C₂	#423×D₇₃	1	1	yes	characteristic
389	C₂	C₂×#17988622	1	1	yes	characteristic
390	C₂	C₂×#108×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₇₃
commutator	C₂×C₄×C₇₃	C₂³×C₄
Frattini	C₄²	C₂³×D₇₃
Fitting	C₇₃×#1566	C₂
socle	C₂²×C₇₃	C₂²×C₄⋊C₄
prime radical	C₂³×D₇₃	C₄⋊C₄
cosocle	C₄²×C₇₃	C₂⁴
hypercenter	#1566	D₇₃
hypocenter	C₇₃	#17793
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1566

Complements

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

N	H ≅ G/N	type
3. #22608691	C₂	semidirect
4. #22608689	C₂	semidirect
5. #22608687	C₂	semidirect
6. #22608676	C₂	semidirect
7. C₇₃×#1566	C₂	semidirect
25. #17988339	C₂²	semidirect
26. #17988338	C₂²	semidirect
29. #334×C₇₃	C₂²	semidirect
99. C₈×D₇₃	M₁₆	semidirect
201. #1566	D₇₃	semidirect
203. C₇₃	#17793	semidirect
225. #334	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22618563	2
C₂×C₄×C₈×D₇₃	2
#22608691	2
#22608689	2
#22608687	2
#22608676	2
C₇₃×#1566	2
#17793	73