Subgroups — D₇₃⋊#1747 #34019927

Order 18688.

930 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17989550	C₂	1	2	yes	maximal
2	#22625653	C₂	1	4	yes	maximal, complemented
3	#22625652	C₂	1	4	yes	maximal, complemented
4	D₇₃⋊#338	C₂	1	1	yes	maximal, characteristic
5	#22625603	C₂	1	1	yes	maximal, characteristic
6	#22625601	C₂	1	2	yes	maximal
7	#405×D₇₃	C₂	1	1	yes	maximal, characteristic
8	C₂×D₇₃⋊M₁₆	C₂²	1	2	yes	—
9	C₂×#14556670	C₂²	1	2	yes	—
10	#17989550	C₄	1	4	yes	complemented
11	#17989550	C₄	1	4	yes	complemented
12	#17989550	C₂²	1	4	yes	—
13	#17989550	C₂²	1	4	yes	—
14	C₂×#14556645	C₄	1	4	yes	complemented
15	C₂×C₈×#64408	C₄	1	4	yes	complemented
16	#17989456	C₂²	1	4	yes	—
17	#17989455	C₂²	1	4	yes	—
18	#17989454	C₂²	1	8	yes	—
19	C₂×M₁₆×D₇₃	C₂²	1	1	yes	characteristic
20	C₂²×C₈×D₇₃	C₂²	1	1	yes	characteristic
21	#117×D₇₃	C₂²	1	1	yes	characteristic
22	#17988545	C₄	1	1	yes	characteristic, complemented
23	#17988544	C₂²	1	2	yes	—
24	#17988543	C₄	1	1	yes	characteristic, complemented
25	#17988542	C₄	1	1	yes	characteristic, complemented
26	#17988541	C₂²	1	2	yes	—
27	#97×D₇₃	C₄	1	2	yes	complemented
28	C₄×C₈×D₇₃	C₄	1	2	yes	complemented
29	#405×C₇₃	C₄	1	1	yes	characteristic, complemented
30	C₂×#11924038	—	2	2	no	—
31	D₇₃⋊M₁₆	—	2	2	no	—
32	D₇₃⋊M₁₆	—	2	2	no	—
33	D₇₃⋊M₁₆	C₂×C₄	1	4	yes	—
34	D₇₃⋊M₁₆	C₂³	1	4	yes	—
35	C₂×#11924037	—	2	2	no	—
36	C₂×#11924036	C₂×C₄	1	4	yes	—
37	#14556670	—	2	2	no	—
38	#14556670	—	2	2	no	—
39	#14556670	C₂×C₄	1	4	yes	—
40	#14556670	C₂³	1	4	yes	—
41	C₂×C₄⋊#64408	—	2	2	no	—
42	C₂×C₂²⋊#64408	—	2	2	no	—
43	C₂×C₄×#64408	C₂×C₄	1	4	yes	—
44	#14556645	C₂×C₄	1	8	yes	complemented
45	#14556645	C₂×C₄	1	8	yes	complemented
46	C₈×#64408	C₂×C₄	1	8	yes	complemented
47	C₈×#64408	C₂×C₄	1	8	yes	complemented
48	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
49	C₂×#11924012	C₂×C₄	1	1	yes	characteristic
50	C₂×#11924011	C₂³	1	2	yes	—
51	M₁₆×D₇₃	—	2	2	no	—
52	M₁₆×D₇₃	—	2	2	no	—
53	C₂²×#10596831	C₂×C₄	1	1	yes	characteristic
54	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
55	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
56	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
57	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
58	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
59	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic
60	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic
61	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
62	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
63	#14556550	C₂×C₄	1	1	yes	characteristic
64	#14556549	—	2	1	no	—
65	#14556548	C₂³	1	2	yes	—
66	#14556547	—	2	1	no	—
67	C₄⋊C₄×D₇₃	—	2	1	no	—
68	C₂²⋊C₄×D₇₃	—	2	1	no	—
69	C₄²×D₇₃	C₂×C₄	1	2	yes	—
70	#14556502	C₂×C₄	1	2	yes	complemented
71	#14556501	C₂×C₄	1	2	yes	complemented
72	#14556501	C₂×C₄	1	2	yes	complemented
73	C₄×#10596831	C₂×C₄	1	2	yes	complemented
74	C₈×Dic₇₃	C₂×C₄	1	2	yes	complemented
75	C₈×Dic₇₃	C₂×C₄	1	2	yes	complemented
76	C₂×M₁₆×C₇₃	C₂×C₄	1	1	yes	characteristic
77	C₂²×C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
78	#117×C₇₃	C₂×C₄	1	1	yes	characteristic
79	#97×C₇₃	C₂×C₄	1	2	yes	complemented
80	C₄×C₈×C₇₃	C₂×C₄	1	2	yes	complemented
81	C₂²×#64408	—	2	4	no	—
82	#11924038	—	2	4	no	—
83	#11924038	—	2	4	no	—
84	#11924037	—	2	4	no	—
85	#11924037	—	2	4	no	—
86	#11924036	—	2	4	no	—
87	#11924036	C₂²×C₄	1	8	yes	—
88	C₂×#10596833	—	2	4	no	—
89	C₄⋊#64408	—	2	4	no	—
90	C₄⋊#64408	—	2	4	no	—
91	C₂²⋊#64408	—	2	4	no	—
92	C₂²⋊#64408	—	2	4	no	—
93	C₄×#64408	—	2	4	no	—
94	C₄×#64408	C₂²×C₄	1	8	yes	—
95	C₂³×D₇₃	#41	1	1	yes	characteristic
96	C₂²×Dic₇₃	#41	1	1	yes	characteristic
97	C₂×C₄×D₇₃	—	2	2	no	—
98	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
100	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
101	C₂×C₄×D₇₃	#41	1	1	yes	characteristic
102	C₂×C₄×D₇₃	#41	1	1	yes	characteristic
103	C₂×C₄×D₇₃	#41	1	2	yes	—
104	C₂×C₄×D₇₃	#41	1	2	yes	—
105	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
106	#11924012	—	2	2	no	—
107	#11924011	—	2	4	no	—
108	C₂×#10596831	C₄²	1	2	yes	—
109	C₂×#10596831	C₄²	1	2	yes	—
110	C₂×#10596831	C₂²×C₄	1	2	yes	—
111	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
112	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
113	C₈×D₇₃	—	2	2	no	—
114	C₈×D₇₃	—	2	2	no	—
115	C₈×D₇₃	C₄²	1	2	yes	—
116	C₈×D₇₃	C₄²	1	1	yes	characteristic
117	C₈×D₇₃	C₄²	1	1	yes	characteristic
118	C₈×D₇₃	C₄²	1	2	yes	—
119	C₈×D₇₃	C₄²	1	1	yes	characteristic
120	C₈×D₇₃	C₄²	1	1	yes	characteristic
121	C₈×D₇₃	C₂²×C₄	1	2	yes	—
122	C₈×D₇₃	C₂²×C₄	1	2	yes	—
123	C₈×D₇₃	C₂²×C₄	1	2	yes	—
124	C₈×D₇₃	C₂²×C₄	1	2	yes	—
125	C₄⋊Dic₇₃	—	2	1	no	—
126	#11924007	—	2	2	no	—
127	C₂²⋊Dic₇₃	—	2	1	no	—
128	#11924005	—	2	2	no	—
129	C₄×Dic₇₃	—	2	2	no	—
130	C₄×Dic₇₃	C₂²×C₄	1	2	yes	—
131	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
132	M₁₆×C₇₃	—	2	2	no	—
133	C₂×C₈×C₇₃	C₄²	1	2	yes	—
134	C₂×C₈×C₇₃	C₄²	1	2	yes	—
135	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
136	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
137	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
138	C₄⋊C₄×C₇₃	—	2	1	no	—
139	C₂²⋊C₄×C₇₃	—	2	1	no	—
140	C₄²×C₇₃	C₂²×C₄	1	2	yes	—
141	C₂³×C₇₃	#117	1	1	yes	characteristic
142	C₂²×D₇₃	—	4	2	no	—
143	C₂²×D₇₃	#117	1	2	yes	—
144	C₂²×D₇₃	#117	1	1	yes	characteristic
145	C₂²×D₇₃	#117	1	2	yes	—
146	C₂²×D₇₃	C₂×#41	1	1	yes	characteristic
147	C₂×#64408	—	2	8	no	—
148	C₂×#64408	—	4	8	no	—
149	C₂×C₄×C₇₃	—	2	2	no	—
150	C₂×C₄×C₇₃	C₂×C₄²	1	2	yes	—
151	C₂×C₄×C₇₃	#117	1	2	yes	—
152	C₂×C₄×C₇₃	#117	1	1	yes	characteristic
153	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
154	C₂×Dic₇₃	—	2	2	no	—
155	C₂×Dic₇₃	#117	1	2	yes	—
156	C₂×Dic₇₃	#117	1	2	yes	—
157	C₂×Dic₇₃	#117	1	1	yes	characteristic
158	C₂×Dic₇₃	C₂×#41	1	1	yes	characteristic
159	C₄×D₇₃	—	4	4	no	—
160	C₄×D₇₃	C₂×C₄²	1	1	yes	characteristic
161	C₄×D₇₃	C₂×C₄²	1	1	yes	characteristic
162	C₄×D₇₃	#117	1	2	yes	—
163	C₄×D₇₃	#117	1	2	yes	—
164	C₄×D₇₃	#117	1	1	yes	characteristic
165	C₄×D₇₃	#117	1	1	yes	characteristic
166	C₄×D₇₃	#117	1	2	yes	—
167	C₄×D₇₃	#117	1	2	yes	—
168	C₄×D₇₃	C₂³×C₄	1	2	yes	—
169	C₄×D₇₃	C₂×#41	1	2	yes	—
170	#10596833	—	2	8	no	—
171	C₈×C₇₃	—	2	2	no	—
172	C₈×C₇₃	C₂×C₄²	1	1	yes	characteristic
173	C₈×C₇₃	C₂×C₄²	1	2	yes	—
174	C₈×C₇₃	C₂×C₄²	1	1	yes	characteristic
175	#10596831	—	2	2	no	—
176	#10596831	C₂×C₄²	1	1	yes	characteristic
177	#10596831	C₂×C₄²	1	2	yes	—
178	#10596831	C₂×C₄²	1	1	yes	characteristic
179	C₂²×C₇₃	—	4	1	no	—
180	C₂²×C₇₃	#376	1	2	yes	—
181	C₂²×C₇₃	C₂×#117	1	1	yes	characteristic
182	C₂×D₇₃	—	2	2	no	—
183	C₂×D₇₃	—	2	4	no	—
184	C₂×D₇₃	—	4	2	no	—
185	C₂×D₇₃	—	4	1	no	—
186	C₂×D₇₃	#376	1	1	yes	characteristic
187	C₂×D₇₃	#376	1	1	yes	characteristic
188	C₂×D₇₃	C₂×#117	1	2	yes	—
189	#64408	—	4	8	no	—
190	C₄×C₇₃	—	4	2	no	—
191	C₄×C₇₃	#376	1	2	yes	—
192	C₄×C₇₃	C₂²×C₄²	1	1	yes	characteristic
193	C₄×C₇₃	C₂×#117	1	1	yes	characteristic
194	Dic₇₃	—	4	2	no	—
195	Dic₇₃	#376	1	1	yes	characteristic
196	Dic₇₃	#376	1	1	yes	characteristic
197	Dic₇₃	C₂×#117	1	2	yes	—
198	C₂×#1747	—	73	1	no	maximal, Sylow
199	C₂×C₇₃	—	2	1	no	—
200	C₂×C₇₃	—	2	2	no	—
201	C₂×C₇₃	C₂×#376	1	1	yes	characteristic
202	D₇₃	—	2	2	no	—
203	D₇₃	—	2	1	no	—
204	D₇₃	#1747	1	2	yes	complemented
205	C₂×#405	—	73	2	no	—
206	C₂×#405	—	73	1	no	—
207	#1747	—	73	4	no	—
208	#1747	—	73	4	no	—
209	C₂×#338	—	73	1	no	—
210	C₂×H(3,ℤ/4)	—	73	2	no	—
211	C₂×H(3,ℤ/4)	—	73	1	no	—
212	C₇₃	C₂×#1747	1	1	yes	characteristic, complemented, Sylow
213	C₂²×M₁₆	—	73	2	no	—
214	C₂²×M₁₆	—	73	1	no	—
215	C₂³×C₈	—	73	1	no	—
216	C₂×#117	—	73	2	no	—
217	C₂×#117	—	73	1	no	—
218	#405	—	73	4	no	—
219	#405	—	73	4	no	—
220	#405	—	73	4	no	—
221	#405	—	73	4	no	—
222	#405	—	73	1	no	—
223	#405	—	73	1	no	—
224	#405	—	73	1	no	—
225	#405	—	73	2	no	—
226	#405	—	73	2	no	—
227	#405	#64408	1	1	yes	characteristic, complemented
228	C₂×#97	—	73	4	no	—
229	C₂×#97	—	73	2	no	—
230	C₂×C₄×C₈	—	73	4	no	—
231	C₂×C₄×C₈	—	73	2	no	—
232	#338	—	73	4	no	—
233	H(3,ℤ/4)	—	73	8	no	—
234	H(3,ℤ/4)	—	73	4	no	—
235	C₂³×C₄	—	73	1	no	—
236	C₂×M₁₆	—	73	4	no	—
237	C₂×M₁₆	—	73	4	no	—
238	C₂×M₁₆	—	73	1	no	—
239	C₂×M₁₆	—	73	2	no	—
240	C₂×M₁₆	—	146	2	no	—
241	C₂×M₁₆	—	146	2	no	—
242	C₂×M₁₆	—	146	2	no	—
243	C₂×M₁₆	—	146	2	no	—
244	C₂×M₁₆	—	146	2	no	—
245	C₂×M₁₆	—	146	2	no	—
246	C₂×M₁₆	C₂×#64408	1	1	yes	characteristic
247	C₂²×C₈	—	73	1	no	—
248	C₂²×C₈	—	73	2	no	—
249	C₂²×C₈	—	73	2	no	—
250	C₂²×C₈	—	73	2	no	—
251	C₂²×C₈	—	73	2	no	—
252	C₂²×C₈	—	73	1	no	—
253	C₂²×C₈	—	73	1	no	—
254	C₂²×C₈	—	73	1	no	—
255	C₂²×C₈	—	73	1	no	—
256	C₂²×C₈	—	73	4	no	—
257	C₂²×C₈	—	73	2	no	—
258	C₂²×C₈	C₂×#64408	1	1	yes	characteristic
259	#117	—	73	4	no	—
260	#117	—	73	4	no	—
261	#117	—	73	1	no	—
262	#117	—	73	2	no	—
263	#117	—	146	1	no	—
264	#117	—	146	1	no	—
265	#117	—	146	2	no	—
266	#117	—	146	2	no	—
267	#117	C₂×#64408	1	1	yes	characteristic
268	C₂×C₄⋊C₄	—	146	1	no	—
269	C₂×C₄⋊C₄	—	146	2	no	—
270	C₂×C₂²⋊C₄	—	146	1	no	—
271	C₂×C₂²⋊C₄	—	146	2	no	—
272	C₂×C₄²	—	73	4	no	—
273	C₂×C₄²	—	73	2	no	—
274	#97	—	73	8	no	—
275	#97	—	73	8	no	—
276	#97	—	73	2	no	—
277	#97	—	73	2	no	—
278	#97	—	73	2	no	—
279	#97	C₂×#64408	1	2	yes	complemented
280	C₄×C₈	—	73	8	no	—
281	C₄×C₈	—	73	8	no	—
282	C₄×C₈	—	73	2	no	—
283	C₄×C₈	—	73	2	no	—
284	C₄×C₈	—	73	2	no	—
285	C₄×C₈	C₂×#64408	1	2	yes	complemented
286	C₂⁴	—	73	1	no	—
287	C₂²×C₄	—	73	1	no	—
288	C₂²×C₄	—	73	1	no	—
289	C₂²×C₄	—	73	1	no	—
290	C₂²×C₄	—	73	2	no	—
291	C₂²×C₄	—	73	2	no	—
292	C₂²×C₄	—	73	1	no	—
293	C₂²×C₄	—	73	2	no	—
294	C₂²×C₄	—	73	1	no	—
295	C₂²×C₄	—	73	2	no	—
296	C₂²×C₄	—	146	2	no	—
297	C₂²×C₄	—	146	4	no	—
298	C₂²×C₄	C₂²×#64408	1	1	yes	characteristic
299	M₁₆	—	2	2	no	—
300	M₁₆	—	146	4	no	—
301	M₁₆	—	146	4	no	—
302	M₁₆	—	146	4	no	—
303	M₁₆	—	146	4	no	—
304	M₁₆	—	146	4	no	—
305	M₁₆	—	146	2	no	—
306	C₂×C₈	—	73	1	no	—
307	C₂×C₈	—	73	1	no	—
308	C₂×C₈	—	73	2	no	—
309	C₂×C₈	—	73	2	no	—
310	C₂×C₈	—	73	2	no	—
311	C₂×C₈	—	73	1	no	—
312	C₂×C₈	—	73	1	no	—
313	C₂×C₈	—	73	2	no	—
314	C₂×C₈	—	73	2	no	—
315	C₂×C₈	—	73	2	no	—
316	C₂×C₈	—	73	2	no	—
317	C₂×C₈	—	73	1	no	—
318	C₂×C₈	—	73	1	no	—
319	C₂×C₈	—	73	2	no	—
320	C₂×C₈	—	73	8	no	—
321	C₂×C₈	—	73	2	no	—
322	C₂×C₈	—	146	2	no	—
323	C₂×C₈	—	146	2	no	—
324	C₂×C₈	—	146	4	no	—
325	C₂×C₈	—	146	4	no	—
326	C₂×C₈	C₄×#64408	1	2	yes	—
327	C₂×C₈	C₄×#64408	1	2	yes	—
328	C₂×C₈	C₂²×#64408	1	2	yes	—
329	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
330	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
331	C₄⋊C₄	—	2	1	no	—
332	C₄⋊C₄	—	146	2	no	—
333	C₄⋊C₄	—	146	4	no	—
334	C₄⋊C₄	—	146	4	no	—
335	C₄⋊C₄	—	146	1	no	—
336	C₂²⋊C₄	—	2	1	no	—
337	C₂²⋊C₄	—	146	2	no	—
338	C₂²⋊C₄	—	146	4	no	—
339	C₂²⋊C₄	—	146	4	no	—
340	C₂²⋊C₄	—	146	1	no	—
341	C₄²	—	73	8	no	—
342	C₄²	—	73	2	no	—
343	C₄²	—	146	2	no	—
344	C₄²	—	146	4	no	—
345	C₄²	C₂²×#64408	1	2	yes	—
346	C₂³	—	292	2	no	—
347	C₂³	—	73	1	no	—
348	C₂³	—	73	2	no	—
349	C₂³	—	73	1	no	—
350	C₂³	—	73	2	no	—
351	C₂³	#14556670	1	1	yes	characteristic
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	292	4	no	—
354	C₂×C₄	—	292	8	no	—
355	C₂×C₄	—	73	1	no	—
356	C₂×C₄	—	73	1	no	—
357	C₂×C₄	—	73	2	no	—
358	C₂×C₄	—	73	2	no	—
359	C₂×C₄	—	73	2	no	—
360	C₂×C₄	—	73	1	no	—
361	C₂×C₄	—	73	1	no	—
362	C₂×C₄	—	73	2	no	—
363	C₂×C₄	—	73	1	no	—
364	C₂×C₄	—	73	1	no	—
365	C₂×C₄	—	73	2	no	—
366	C₂×C₄	—	73	2	no	—
367	C₂×C₄	—	73	2	no	—
368	C₂×C₄	—	73	2	no	—
369	C₂×C₄	—	146	8	no	—
370	C₂×C₄	—	146	2	no	—
371	C₂×C₄	C₂×C₄×#64408	1	2	yes	—
372	C₂×C₄	#14556670	1	2	yes	—
373	C₂×C₄	#14556670	1	1	yes	characteristic
374	C₂×C₄	C₂³×#64408	1	1	yes	characteristic
375	C₈	—	2	2	no	—
376	C₈	—	73	1	no	—
377	C₈	—	73	1	no	—
378	C₈	—	73	2	no	—
379	C₈	—	146	8	no	—
380	C₈	—	146	2	no	—
381	C₈	C₂×C₄×#64408	1	2	yes	—
382	C₈	C₂×C₄×#64408	1	1	yes	characteristic
383	C₈	C₂×C₄×#64408	1	1	yes	characteristic
384	C₂²	—	4	1	no	—
385	C₂²	—	292	1	no	—
386	C₂²	—	292	2	no	—
387	C₂²	—	73	1	no	—
388	C₂²	—	73	2	no	—
389	C₂²	—	73	1	no	—
390	C₂²	—	146	2	no	—
391	C₂²	—	146	4	no	—
392	C₂²	#17989523	1	2	yes	—
393	C₂²	C₂×#14556670	1	1	yes	characteristic
394	C₄	—	4	2	no	—
395	C₄	—	292	2	no	—
396	C₄	—	292	8	no	—
397	C₄	—	73	2	no	—
398	C₄	—	73	1	no	—
399	C₄	—	73	1	no	—
400	C₄	#17989523	1	2	yes	—
401	C₄	C₂²×C₄×#64408	1	1	yes	characteristic
402	C₄	C₂×#14556670	1	1	yes	characteristic
403	C₂	—	2	1	no	—
404	C₂	—	2	2	no	—
405	C₂	—	73	2	no	—
406	C₂	—	146	2	no	—
407	C₂	—	146	1	no	—
408	C₂	C₂×#17989523	1	1	yes	characteristic

	subgroup	G/H
center	C₈	C₂×C₄×#64408
commutator	C₄×C₇₃	C₂²×C₄²
Frattini	C₂×C₄	C₂³×#64408
Fitting	#405×C₇₃	C₄
socle	C₂×C₇₃	C₂×#376
prime radical	C₂³×D₇₃	#41
cosocle	C₂×C₄×D₇₃	C₂⁴
hypercenter	#405	#64408
hypocenter	C₇₃	C₂×#1747
LCS	G ▷ C₄×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₈ ◁ #405

Complements

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

N	H ≅ G/N	type
2. #22625653	C₂	semidirect
3. #22625652	C₂	semidirect
10. #17989550	C₄	semidirect
11. #17989550	C₄	semidirect
14. C₂×#14556645	C₄	semidirect
15. C₂×C₈×#64408	C₄	semidirect
22. #17988545	C₄	semidirect
24. #17988543	C₄	semidirect
25. #17988542	C₄	semidirect
27. #97×D₇₃	C₄	semidirect
28. C₄×C₈×D₇₃	C₄	semidirect
29. #405×C₇₃	C₄	semidirect
44. #14556645	C₂×C₄	semidirect
45. #14556645	C₂×C₄	semidirect
46. C₈×#64408	C₂×C₄	semidirect
47. C₈×#64408	C₂×C₄	semidirect
70. #14556502	C₂×C₄	semidirect
71. #14556501	C₂×C₄	semidirect
72. #14556501	C₂×C₄	semidirect
73. C₄×#10596831	C₂×C₄	semidirect
74. C₈×Dic₇₃	C₂×C₄	semidirect
75. C₈×Dic₇₃	C₂×C₄	semidirect
79. #97×C₇₃	C₂×C₄	semidirect
80. C₄×C₈×C₇₃	C₂×C₄	semidirect
204. D₇₃	#1747	semidirect
212. C₇₃	C₂×#1747	semidirect
227. #405	#64408	semidirect
279. #97	C₂×#64408	semidirect
285. C₄×C₈	C₂×#64408	semidirect

Maximal subgroups

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

subgroup	index
C₂×#17989550	2
#22625653	2
#22625652	2
D₇₃⋊#338	2
#22625603	2
#22625601	2
#405×D₇₃	2
C₂×#1747	73

Subgroups — D73⋊#1747 #34019927

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₇₃⋊#1747 #34019927