Subgroups — #2956×D₇₃ #33950291

Order 18688.

2674 conjugacy classes of subgroups.

The subgroup lattice has 844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#575×D₇₃	C₂	1	1	yes	maximal, characteristic
2	#568×D₇₃	C₂	1	2	yes	maximal, complemented
3	#22618842	C₂	1	1	yes	maximal, characteristic, complemented
4	#22618841	C₂	1	1	yes	maximal, characteristic, complemented
5	#22618840	C₂	1	1	yes	maximal, characteristic, complemented
6	#22618839	C₂	1	4	yes	maximal, complemented
7	#22618838	C₂	1	2	yes	maximal, complemented
8	#22618837	C₂	1	2	yes	maximal, complemented
9	#22618836	C₂	1	4	yes	maximal, complemented
10	#444×D₇₃	C₂	1	4	yes	maximal, complemented
11	#443×D₇₃	C₂	1	4	yes	maximal, complemented
12	#430×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#104×D₇₃	C₂	1	2	yes	maximal, complemented
14	C₄×M₁₆×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#2956	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#41×D₇₃	C₂²	1	2	yes	—
17	#17989387	C₂²	1	1	yes	characteristic
18	#17989386	C₄	1	4	yes	complemented
19	#17989385	C₂²	1	2	yes	—
20	#17989384	C₂²	1	4	yes	—
21	#17989383	C₄	1	4	yes	complemented
22	#137×D₇₃	C₄	1	4	yes	complemented
23	AGL(1,ℤ/8)×D₇₃	C₄	1	4	yes	complemented
24	#135×D₇₃	C₂²	1	4	yes	—
25	#17989354	C₂²	1	2	yes	complemented
26	#17989353	—	2	4	no	—
27	#17989353	C₂²	1	2	yes	complemented
28	#17989353	C₂²	1	2	yes	complemented
29	#17989352	—	2	4	no	—
30	#17989352	C₂²	1	8	yes	complemented
31	#131×D₇₃	—	2	4	no	—
32	#131×D₇₃	C₂²	1	8	yes	complemented
33	C₂×M₁₆×D₇₃	—	2	4	no	—
34	C₂×M₁₆×D₇₃	C₂²	1	2	yes	—
35	C₂×M₁₆×D₇₃	C₂²	1	1	yes	characteristic
36	C₂×M₁₆×D₇₃	C₂²	1	1	yes	characteristic
37	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic
38	#17988710	C₂²	1	4	yes	complemented
39	#17988709	C₂²	1	4	yes	complemented
40	#17988708	C₂²	1	4	yes	complemented
41	#17988707	C₂²	1	8	yes	complemented
42	#17988706	C₂²	1	8	yes	complemented
43	#17988705	C₂²	1	4	yes	complemented
44	#17988704	C₂²	1	4	yes	complemented
45	#17988703	C₂²	1	4	yes	complemented
46	#17988702	C₂²	1	8	yes	complemented
47	#17988701	C₂²	1	8	yes	complemented
48	#17988636	C₂²	1	1	yes	characteristic, complemented
49	#17988635	C₂²	1	2	yes	complemented
50	#17988634	C₂²	1	4	yes	complemented
51	#108×D₇₃	C₂²	1	4	yes	complemented
52	C₂×#14556519	C₂²	1	2	yes	complemented
53	C₂×#14556518	C₂²	1	2	yes	complemented
54	C₂×#14556517	C₂²	1	2	yes	complemented
55	#104×D₇₃	C₂²	1	4	yes	complemented
56	#104×D₇₃	C₂²	1	4	yes	complemented
57	#104×D₇₃	C₂²	1	4	yes	complemented
58	#104×D₇₃	C₂²	1	4	yes	complemented
59	C₄×#11924012	C₂²	1	1	yes	characteristic, complemented
60	#17988539	C₂²	1	2	yes	complemented
61	M₁₆×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
62	M₁₆×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
63	C₄×#11924011	C₂²	1	2	yes	complemented
64	#97×D₇₃	C₂²	1	2	yes	complemented
65	C₄×C₈×D₇₃	C₂²	1	2	yes	complemented
66	#575×C₇₃	C₂²	1	1	yes	characteristic
67	#568×C₇₃	C₂²	1	2	yes	complemented
68	#444×C₇₃	C₂²	1	4	yes	complemented
69	#443×C₇₃	C₂²	1	4	yes	complemented
70	#430×C₇₃	C₂²	1	1	yes	characteristic, complemented
71	C₂×#104×C₇₃	C₂²	1	2	yes	complemented
72	C₄×M₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
73	C₂×#11924029	C₂×C₄	1	2	yes	—
74	C₂×#11924028	—	2	2	no	—
75	C₂×#11924028	C₂³	1	2	yes	—
76	C₂×#11924027	—	2	2	no	—
77	C₂×#11924027	C₂×C₄	1	2	yes	—
78	#41×D₇₃	—	2	2	no	—
79	#41×D₇₃	—	2	2	no	—
80	#41×D₇₃	—	2	2	no	—
81	#41×D₇₃	—	2	2	no	—
82	#41×D₇₃	C₂×C₄	1	4	yes	—
83	#41×D₇₃	C₂×C₄	1	4	yes	—
84	#41×D₇₃	C₂³	1	4	yes	—
85	#41×D₇₃	C₂³	1	4	yes	—
86	C₂×Q₈×D₇₃	C₂×C₄	1	2	yes	—
87	C₂×D₄×D₇₃	—	2	2	no	—
88	C₂×D₄×D₇₃	C₂×C₄	1	2	yes	—
89	C₂²×C₄×D₇₃	—	2	2	no	—
90	C₂²×C₄×D₇₃	—	2	1	no	—
91	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
92	#14556624	C₂×C₄	1	4	yes	complemented
93	#14556623	C₂×C₄	1	8	yes	complemented
94	#14556622	C₂×C₄	1	4	yes	complemented
95	#14556621	C₂×C₄	1	4	yes	complemented
96	#14556620	C₂×C₄	1	8	yes	complemented
97	#14556619	C₂×C₄	1	4	yes	complemented
98	#14556618	C₂×C₄	1	8	yes	complemented
99	#14556617	C₂×C₄	1	4	yes	complemented
100	#14556616	C₂×C₄	1	4	yes	complemented
101	#14556615	C₂×C₄	1	8	yes	complemented
102	#14556614	C₂×C₄	1	4	yes	complemented
103	#14556613	C₂³	1	4	yes	—
104	#14556612	C₂×C₄	1	8	yes	complemented
105	#14556611	C₂³	1	8	yes	—
106	#14556610	C₂×C₄	1	4	yes	complemented
107	Q₁₆×D₇₃	C₂×C₄	1	4	yes	complemented
108	SD₁₆×D₇₃	C₂×C₄	1	8	yes	complemented
109	D₈×D₇₃	C₂×C₄	1	4	yes	complemented
110	#14556599	—	2	8	no	—
111	#14556599	—	2	8	no	—
112	#14556599	—	2	4	no	—
113	#14556599	C₂³	1	8	yes	complemented
114	#14556598	—	2	4	no	—
115	#14556598	C₂³	1	8	yes	complemented
116	#14556597	—	2	4	no	—
117	#14556597	—	2	8	no	—
118	#14556597	—	2	8	no	—
119	#14556597	C₂³	1	8	yes	complemented
120	C₂×#11924012	—	2	4	no	—
121	C₂×#11924012	C₂³	1	2	yes	—
122	C₂×#11924012	C₂³	1	1	yes	characteristic
123	C₂×#11924012	C₂³	1	1	yes	characteristic
124	C₂×#11924011	—	2	2	no	—
125	C₂×#11924011	—	2	8	no	—
126	C₂×#11924011	C₂³	1	2	yes	—
127	C₂×#11924011	C₂³	1	2	yes	—
128	M₁₆×D₇₃	—	2	2	no	—
129	M₁₆×D₇₃	—	2	2	no	—
130	M₁₆×D₇₃	—	2	4	no	—
131	M₁₆×D₇₃	—	2	8	no	—
132	M₁₆×D₇₃	—	2	8	no	—
133	M₁₆×D₇₃	—	2	4	no	—
134	M₁₆×D₇₃	C₂×C₄	1	4	yes	—
135	M₁₆×D₇₃	C₂×C₄	1	4	yes	—
136	M₁₆×D₇₃	D₄	1	4	yes	—
137	M₁₆×D₇₃	D₄	1	4	yes	—
138	M₁₆×D₇₃	C₂³	1	4	yes	—
139	M₁₆×D₇₃	C₂³	1	4	yes	—
140	C₂×C₈×D₇₃	—	2	2	no	—
141	C₂×C₈×D₇₃	—	2	8	no	—
142	C₂×C₈×D₇₃	C₂³	1	2	yes	—
143	C₂×C₈×D₇₃	C₂³	1	2	yes	—
144	C₂×C₄×Dic₇₃	—	2	1	no	—
145	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
146	C₄²×D₇₃	—	2	1	no	—
147	C₄²×D₇₃	—	2	1	no	—
148	C₄²×D₇₃	C₂³	1	1	yes	characteristic
149	C₄²×D₇₃	C₂³	1	1	yes	characteristic
150	C₄²×D₇₃	C₂³	1	1	yes	characteristic
151	C₄²×D₇₃	C₂³	1	1	yes	characteristic
152	#14556527	C₂³	1	4	yes	complemented
153	#14556526	C₂³	1	8	yes	complemented
154	#14556519	C₂³	1	4	yes	complemented
155	#14556519	C₂³	1	4	yes	complemented
156	#14556518	C₂³	1	4	yes	complemented
157	#14556518	C₂³	1	4	yes	complemented
158	#14556517	C₂³	1	4	yes	complemented
159	#14556517	C₂³	1	4	yes	complemented
160	#14556502	C₂³	1	2	yes	complemented
161	#14556501	C₂³	1	2	yes	complemented
162	#14556501	C₂³	1	2	yes	complemented
163	C₄×#10596831	C₂³	1	2	yes	complemented
164	C₈×Dic₇₃	C₂³	1	2	yes	complemented
165	C₈×Dic₇₃	C₂³	1	2	yes	complemented
166	C₂×#41×C₇₃	C₂³	1	2	yes	—
167	#137×C₇₃	C₂×C₄	1	4	yes	complemented
168	AGL(1,ℤ/8)×C₇₃	C₂×C₄	1	4	yes	complemented
169	#135×C₇₃	C₂³	1	4	yes	—
170	#131×C₇₃	—	2	4	no	—
171	#131×C₇₃	C₂³	1	8	yes	complemented
172	C₂×M₁₆×C₇₃	—	2	4	no	—
173	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
174	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
175	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
176	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
177	#108×C₇₃	C₂³	1	4	yes	complemented
178	#104×C₇₃	C₂³	1	4	yes	complemented
179	#104×C₇₃	C₂³	1	4	yes	complemented
180	#97×C₇₃	C₂³	1	2	yes	complemented
181	C₄×C₈×C₇₃	C₂³	1	2	yes	complemented
182	C₂³×D₇₃	—	2	2	no	—
183	C₂³×D₇₃	#41	1	1	yes	characteristic
184	#11924029	—	2	2	no	—
185	#11924029	—	2	2	no	—
186	#11924029	C₂²×C₄	1	4	yes	—
187	#11924029	C₂²×C₄	1	4	yes	—
188	#11924028	—	2	2	no	—
189	#11924028	—	2	2	no	—
190	#11924028	—	2	4	no	—
191	#11924028	—	2	4	no	—
192	#11924028	—	2	4	no	—
193	#11924028	—	2	4	no	—
194	#11924028	C₂²×C₄	1	4	yes	—
195	#11924028	C₂⁴	1	4	yes	—
196	#11924027	—	2	4	no	—
197	#11924027	—	2	4	no	—
198	#11924027	—	2	4	no	—
199	#11924027	—	2	4	no	—
200	#11924027	—	2	2	no	—
201	#11924027	—	2	2	no	—
202	#11924027	C₂²×C₄	1	4	yes	—
203	#11924027	C₂²×C₄	1	4	yes	—
204	C₂×Dic₁₄₆	—	2	2	no	—
205	C₂×Dic₁₄₆	C₂²×C₄	1	2	yes	—
206	Q₈×D₇₃	—	2	2	no	—
207	Q₈×D₇₃	—	2	2	no	—
208	Q₈×D₇₃	C₂²×C₄	1	4	yes	—
209	Q₈×D₇₃	C₂²×C₄	1	4	yes	—
210	C₂×D₂₉₂	—	2	2	no	—
211	C₂×D₂₉₂	C₂²×C₄	1	2	yes	—
212	C₂×C₂²⋊D₇₃	—	2	2	no	—
213	C₂×C₂²⋊D₇₃	—	2	2	no	—
214	C₂×C₂²⋊D₇₃	—	2	2	no	—
215	D₄×D₇₃	—	2	4	no	—
216	D₄×D₇₃	—	2	4	no	—
217	D₄×D₇₃	—	2	4	no	—
218	D₄×D₇₃	—	2	4	no	—
219	D₄×D₇₃	—	2	2	no	—
220	D₄×D₇₃	—	2	2	no	—
221	D₄×D₇₃	C₂²×C₄	1	4	yes	—
222	D₄×D₇₃	C₂²×C₄	1	4	yes	—
223	C₂²×Dic₇₃	—	2	2	no	—
224	C₂²×Dic₇₃	—	2	1	no	—
225	C₂²×Dic₇₃	#41	1	1	yes	characteristic
226	C₂×C₄×D₇₃	—	2	2	no	—
227	C₂×C₄×D₇₃	—	2	1	no	—
228	C₂×C₄×D₇₃	—	2	2	no	—
229	C₂×C₄×D₇₃	—	2	2	no	—
230	C₂×C₄×D₇₃	—	2	4	no	—
231	C₂×C₄×D₇₃	—	2	4	no	—
232	C₂×C₄×D₇₃	—	2	4	no	—
233	C₂×C₄×D₇₃	—	2	4	no	—
234	C₂×C₄×D₇₃	—	2	1	no	—
235	C₂×C₄×D₇₃	—	2	1	no	—
236	C₂×C₄×D₇₃	—	2	1	no	—
237	C₂×C₄×D₇₃	—	4	4	no	—
238	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
239	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
240	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
241	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
242	C₂×C₄×D₇₃	#41	1	1	yes	characteristic
243	C₂×C₄×D₇₃	#41	1	1	yes	characteristic
244	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
245	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
246	Dic₂₉₂	C₂²×C₄	1	4	yes	complemented
247	#11924018	C₂²×C₄	1	8	yes	complemented
248	#11924017	C₂²×C₄	1	8	yes	complemented
249	#11924016	C₂²×C₄	1	8	yes	complemented
250	#11924015	C₂²×C₄	1	8	yes	complemented
251	D₅₈₄	C₂²×C₄	1	4	yes	complemented
252	#11924013	C₂²×C₄	1	8	yes	complemented
253	#11924012	—	2	2	no	—
254	#11924012	—	2	8	no	—
255	#11924012	C₂²×C₄	1	4	yes	—
256	#11924012	C₂×D₄	1	4	yes	—
257	#11924012	C₂⁴	1	4	yes	—
258	#11924011	—	2	4	no	—
259	#11924011	—	2	4	no	—
260	#11924011	—	2	8	no	—
261	#11924011	—	2	8	no	—
262	#11924011	C₂²×C₄	1	8	yes	—
263	#11924011	C₂×D₄	1	8	yes	—
264	C₂×#10596831	—	2	2	no	—
265	C₂×#10596831	—	2	8	no	—
266	C₂×#10596831	C₂⁴	1	2	yes	—
267	C₂×#10596831	C₂⁴	1	2	yes	—
268	C₈×D₇₃	—	2	4	no	—
269	C₈×D₇₃	—	2	4	no	—
270	C₈×D₇₃	—	2	8	no	—
271	C₈×D₇₃	—	2	8	no	—
272	C₈×D₇₃	C₂²×C₄	1	4	yes	—
273	C₈×D₇₃	C₂²×C₄	1	4	yes	—
274	C₈×D₇₃	C₂×D₄	1	4	yes	—
275	C₈×D₇₃	C₂×D₄	1	4	yes	—
276	C₄×Dic₇₃	—	2	1	no	—
277	C₄×Dic₇₃	—	2	1	no	—
278	C₄×Dic₇₃	—	2	1	no	—
279	C₄×Dic₇₃	—	2	1	no	—
280	C₄×Dic₇₃	—	2	1	no	—
281	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
282	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
283	#41×C₇₃	—	2	2	no	—
284	#41×C₇₃	—	2	2	no	—
285	#41×C₇₃	C₂²×C₄	1	4	yes	—
286	#41×C₇₃	C₂⁴	1	4	yes	—
287	C₂×Q₈×C₇₃	C₂²×C₄	1	2	yes	—
288	C₂×D₄×C₇₃	—	2	2	no	—
289	C₂×D₄×C₇₃	C₂²×C₄	1	2	yes	—
290	C₂²×C₄×C₇₃	—	2	2	no	—
291	C₂²×C₄×C₇₃	—	2	1	no	—
292	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
293	Q₁₆×C₇₃	C₂²×C₄	1	4	yes	complemented
294	SD₁₆×C₇₃	C₂²×C₄	1	8	yes	complemented
295	D₈×C₇₃	C₂²×C₄	1	4	yes	complemented
296	M₁₆×C₇₃	—	2	2	no	—
297	M₁₆×C₇₃	—	2	8	no	—
298	M₁₆×C₇₃	C₂²×C₄	1	4	yes	—
299	M₁₆×C₇₃	C₂×D₄	1	4	yes	—
300	M₁₆×C₇₃	C₂⁴	1	4	yes	—
301	C₂×C₈×C₇₃	—	2	2	no	—
302	C₂×C₈×C₇₃	—	2	8	no	—
303	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
304	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
305	C₄²×C₇₃	—	2	1	no	—
306	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
307	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
308	C₂³×C₇₃	—	2	2	no	—
309	C₂³×C₇₃	C₂×#41	1	1	yes	characteristic
310	C₂²×D₇₃	—	2	2	no	—
311	C₂²×D₇₃	—	2	4	no	—
312	C₂²×D₇₃	—	2	4	no	—
313	C₂²×D₇₃	—	4	2	no	—
314	C₂²×D₇₃	—	8	4	no	—
315	C₂²×D₇₃	C₄×D₄	1	2	yes	—
316	C₂²×D₇₃	C₄×D₄	1	2	yes	—
317	C₂²×D₇₃	C₂×#41	1	1	yes	characteristic
318	C₂²×D₇₃	C₂×#41	1	1	yes	characteristic
319	Q₈×C₇₃	—	2	2	no	—
320	Q₈×C₇₃	C₂³×C₄	1	4	yes	—
321	D₄×C₇₃	—	2	4	no	—
322	D₄×C₇₃	—	2	4	no	—
323	D₄×C₇₃	—	2	2	no	—
324	D₄×C₇₃	C₂³×C₄	1	4	yes	—
325	C₂×C₄×C₇₃	—	2	2	no	—
326	C₂×C₄×C₇₃	—	2	1	no	—
327	C₂×C₄×C₇₃	—	2	4	no	—
328	C₂×C₄×C₇₃	—	2	4	no	—
329	C₂×C₄×C₇₃	—	2	1	no	—
330	C₂×C₄×C₇₃	—	4	2	no	—
331	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
332	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
333	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
334	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
335	C₂²⋊D₇₃	—	2	4	no	—
336	C₂²⋊D₇₃	—	2	4	no	—
337	C₂²⋊D₇₃	—	2	4	no	—
338	C₂²⋊D₇₃	—	2	4	no	—
339	C₂²⋊D₇₃	—	2	4	no	—
340	C₂²⋊D₇₃	—	2	4	no	—
341	C₂×Dic₇₃	—	2	2	no	—
342	C₂×Dic₇₃	—	2	1	no	—
343	C₂×Dic₇₃	—	2	4	no	—
344	C₂×Dic₇₃	—	2	4	no	—
345	C₂×Dic₇₃	—	2	1	no	—
346	C₂×Dic₇₃	—	4	2	no	—
347	C₂×Dic₇₃	C₄×D₄	1	2	yes	—
348	C₂×Dic₇₃	C₄×D₄	1	2	yes	—
349	C₂×Dic₇₃	C₂×#41	1	1	yes	characteristic
350	C₂×Dic₇₃	C₂×#41	1	1	yes	characteristic
351	D₂₉₂	—	2	4	no	—
352	D₂₉₂	—	2	4	no	—
353	D₂₉₂	—	2	2	no	—
354	D₂₉₂	C₂³×C₄	1	4	yes	—
355	C₄×D₇₃	—	2	4	no	—
356	C₄×D₇₃	—	2	4	no	—
357	C₄×D₇₃	—	2	4	no	—
358	C₄×D₇₃	—	2	4	no	—
359	C₄×D₇₃	—	2	4	no	—
360	C₄×D₇₃	—	2	4	no	—
361	C₄×D₇₃	—	2	4	no	—
362	C₄×D₇₃	—	4	2	no	—
363	C₄×D₇₃	—	4	2	no	—
364	C₄×D₇₃	—	4	2	no	—
365	C₄×D₇₃	C₄×D₄	1	2	yes	—
366	C₄×D₇₃	C₄×D₄	1	2	yes	—
367	C₄×D₇₃	C₄×D₄	1	2	yes	—
368	C₄×D₇₃	C₄×D₄	1	2	yes	—
369	C₄×D₇₃	C₂³×C₄	1	1	yes	characteristic
370	C₄×D₇₃	C₂³×C₄	1	1	yes	characteristic
371	C₄×D₇₃	C₂³×C₄	1	2	yes	—
372	C₄×D₇₃	C₂²×D₄	1	1	yes	characteristic
373	C₄×D₇₃	C₂²×D₄	1	2	yes	—
374	C₄×D₇₃	C₂²×D₄	1	1	yes	characteristic
375	Dic₁₄₆	—	2	2	no	—
376	Dic₁₄₆	—	2	4	no	—
377	Dic₁₄₆	—	2	4	no	—
378	Dic₁₄₆	C₂³×C₄	1	4	yes	—
379	C₈×C₇₃	—	2	4	no	—
380	C₈×C₇₃	C₂³×C₄	1	4	yes	—
381	C₈×C₇₃	C₂²×D₄	1	4	yes	—
382	#10596831	—	2	4	no	—
383	#10596831	C₂³×C₄	1	4	yes	—
384	#10596831	C₂²×D₄	1	4	yes	—
385	C₂²×C₇₃	—	2	4	no	—
386	C₂²×C₇₃	—	4	1	no	—
387	C₂²×C₇₃	—	8	2	no	—
388	C₂²×C₇₃	C₂×C₄×D₄	1	2	yes	—
389	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
390	C₂×D₇₃	—	2	2	no	—
391	C₂×D₇₃	—	2	4	no	—
392	C₂×D₇₃	—	2	4	no	—
393	C₂×D₇₃	—	4	1	no	—
394	C₂×D₇₃	—	4	2	no	—
395	C₂×D₇₃	—	4	8	no	—
396	C₂×D₇₃	—	8	4	no	—
397	C₂×D₇₃	—	8	2	no	—
398	C₂×D₇₃	C₂×C₄×D₄	1	2	yes	—
399	C₂×D₇₃	C₂×C₄×D₄	1	1	yes	characteristic
400	C₂×D₇₃	C₂×C₄×D₄	1	1	yes	characteristic
401	C₄×C₇₃	—	2	2	no	—
402	C₄×C₇₃	—	2	4	no	—
403	C₄×C₇₃	—	4	1	no	—
404	C₄×C₇₃	C₂×C₄×D₄	1	2	yes	—
405	C₄×C₇₃	C₂⁴×C₄	1	1	yes	characteristic
406	C₄×C₇₃	C₂³×D₄	1	1	yes	characteristic
407	Dic₇₃	—	2	2	no	—
408	Dic₇₃	—	2	4	no	—
409	Dic₇₃	—	4	1	no	—
410	Dic₇₃	C₂×C₄×D₄	1	1	yes	characteristic
411	Dic₇₃	C₂×C₄×D₄	1	2	yes	—
412	Dic₇₃	C₂×C₄×D₄	1	1	yes	characteristic
413	C₂×#2956	—	73	1	no	maximal, Sylow
414	C₂×C₇₃	—	2	1	no	—
415	C₂×C₇₃	—	2	2	no	—
416	C₂×C₇₃	—	4	4	no	—
417	C₂×C₇₃	C₂²×C₄×D₄	1	1	yes	characteristic
418	D₇₃	—	2	2	no	—
419	D₇₃	—	2	1	no	—
420	D₇₃	—	4	4	no	—
421	D₇₃	#2956	1	2	yes	direct product factor
422	C₂×#575	—	73	1	no	—
423	C₂×#568	—	73	2	no	—
424	#2956	—	73	4	no	—
425	#2956	—	73	4	no	—
426	#2956	—	73	1	no	—
427	#2956	—	73	2	no	—
428	#2956	—	73	1	no	—
429	#2956	—	73	1	no	—
430	#2956	—	73	2	no	—
431	#2956	D₇₃	1	1	yes	characteristic, direct product factor
432	C₂×#444	—	73	4	no	—
433	C₂×#443	—	73	4	no	—
434	C₂×#430	—	73	1	no	—
435	C₂²×#104	—	73	2	no	—
436	C₂×C₄×M₁₆	—	73	1	no	—
437	C₇₃	C₂×#2956	1	1	yes	characteristic, complemented, Sylow
438	C₂²×#41	—	73	2	no	—
439	#575	—	73	2	no	—
440	#575	—	73	4	no	—
441	#575	—	73	4	no	—
442	#575	—	73	4	no	—
443	#575	—	73	1	no	—
444	#575	C₂×D₇₃	1	1	yes	characteristic
445	C₂×#137	—	73	4	no	—
446	C₂×AGL(1,ℤ/8)	—	73	4	no	—
447	C₂×#135	—	73	4	no	—
448	#568	—	73	2	no	—
449	#568	—	73	8	no	—
450	#568	—	73	2	no	—
451	#568	—	73	2	no	—
452	#568	—	146	4	no	—
453	#568	—	146	4	no	—
454	#568	C₂×D₇₃	1	2	yes	complemented
455	C₂×#131	—	73	8	no	—
456	C₂×#131	—	146	4	no	—
457	C₂²×M₁₆	—	73	1	no	—
458	C₂²×M₁₆	—	73	1	no	—
459	C₂²×M₁₆	—	73	2	no	—
460	C₂²×M₁₆	—	146	4	no	—
461	C₂²×C₄²	—	73	1	no	—
462	#444	—	73	4	no	—
463	#444	—	73	8	no	—
464	#444	—	73	4	no	—
465	#444	—	73	8	no	—
466	#444	—	73	4	no	—
467	#444	C₂×D₇₃	1	4	yes	complemented
468	#443	—	73	4	no	—
469	#443	—	73	8	no	—
470	#443	—	73	4	no	—
471	#443	—	73	8	no	—
472	#443	—	73	4	no	—
473	#443	C₂×D₇₃	1	4	yes	complemented
474	#430	—	73	2	no	—
475	#430	—	73	1	no	—
476	#430	—	73	4	no	—
477	#430	C₂×D₇₃	1	1	yes	characteristic, complemented
478	C₂×#108	—	73	4	no	—
479	C₂×#104	—	73	2	no	—
480	C₂×#104	—	73	2	no	—
481	C₂×#104	—	73	2	no	—
482	C₂×#104	—	73	4	no	—
483	C₂×#104	—	73	4	no	—
484	C₂×#104	—	73	4	no	—
485	C₂×#104	—	73	4	no	—
486	C₂×#104	C₂×D₇₃	1	2	yes	complemented
487	C₄×M₁₆	—	73	1	no	—
488	C₄×M₁₆	—	73	1	no	—
489	C₄×M₁₆	—	73	1	no	—
490	C₄×M₁₆	—	73	2	no	—
491	C₄×M₁₆	—	73	2	no	—
492	C₄×M₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
493	C₂×#97	—	73	2	no	—
494	C₂×C₄×C₈	—	73	2	no	—
495	C₂×#41	—	73	4	no	—
496	C₂×#41	—	73	4	no	—
497	C₂×#41	—	73	4	no	—
498	C₂×#41	—	73	4	no	—
499	C₂×#41	—	73	2	no	—
500	C₂×#41	—	73	2	no	—
501	C₂×#41	—	73	2	no	—
502	C₂×#41	—	146	2	no	—
503	C₂×#41	—	146	2	no	—
504	C₂×#41	—	146	2	no	—
505	C₂×#41	—	146	2	no	—
506	C₂×#41	—	146	2	no	—
507	C₂×#41	—	146	2	no	—
508	C₂×#41	C₂²×D₇₃	1	2	yes	—
509	C₂²×Q₈	—	73	2	no	—
510	C₂²×D₄	—	73	2	no	—
511	C₂²×D₄	—	146	2	no	—
512	C₂³×C₄	—	73	1	no	—
513	C₂³×C₄	—	146	1	no	—
514	C₂³×C₄	—	146	2	no	—
515	#137	—	73	4	no	—
516	#137	—	73	4	no	—
517	#137	—	73	8	no	—
518	#137	—	73	8	no	—
519	#137	—	73	4	no	—
520	#137	C₄×D₇₃	1	4	yes	complemented
521	AGL(1,ℤ/8)	—	73	4	no	—
522	AGL(1,ℤ/8)	—	73	4	no	—
523	AGL(1,ℤ/8)	—	73	8	no	—
524	AGL(1,ℤ/8)	—	73	8	no	—
525	AGL(1,ℤ/8)	—	73	4	no	—
526	AGL(1,ℤ/8)	C₄×D₇₃	1	4	yes	complemented
527	#135	—	73	8	no	—
528	#135	—	73	4	no	—
529	#135	—	73	8	no	—
530	#135	—	73	4	no	—
531	#135	—	73	4	no	—
532	#135	C₂²×D₇₃	1	4	yes	—
533	C₂×Q₁₆	—	73	4	no	—
534	C₂×SD₁₆	—	73	8	no	—
535	C₂×D₈	—	73	4	no	—
536	#131	—	2	4	no	—
537	#131	—	73	8	no	—
538	#131	—	73	8	no	—
539	#131	—	73	8	no	—
540	#131	—	146	8	no	—
541	#131	—	146	4	no	—
542	#131	—	146	8	no	—
543	#131	—	146	8	no	—
544	#131	—	146	8	no	—
545	#131	—	146	4	no	—
546	#131	—	146	4	no	—
547	#131	C₂²×D₇₃	1	8	yes	complemented
548	C₂×M₁₆	—	2	4	no	—
549	C₂×M₁₆	—	73	1	no	—
550	C₂×M₁₆	—	73	1	no	—
551	C₂×M₁₆	—	73	4	no	—
552	C₂×M₁₆	—	73	4	no	—
553	C₂×M₁₆	—	73	4	no	—
554	C₂×M₁₆	—	73	4	no	—
555	C₂×M₁₆	—	73	2	no	—
556	C₂×M₁₆	—	73	2	no	—
557	C₂×M₁₆	—	73	2	no	—
558	C₂×M₁₆	—	73	4	no	—
559	C₂×M₁₆	—	73	4	no	—
560	C₂×M₁₆	—	146	8	no	—
561	C₂×M₁₆	—	146	2	no	—
562	C₂×M₁₆	—	146	8	no	—
563	C₂×M₁₆	—	146	4	no	—
564	C₂×M₁₆	—	146	8	no	—
565	C₂×M₁₆	—	146	2	no	—
566	C₂×M₁₆	—	146	2	no	—
567	C₂×M₁₆	—	146	4	no	—
568	C₂×M₁₆	—	146	4	no	—
569	C₂×M₁₆	C₂²×D₇₃	1	2	yes	—
570	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
571	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
572	C₂²×C₈	—	73	2	no	—
573	C₂²×C₈	—	73	2	no	—
574	C₂²×C₈	—	146	8	no	—
575	C₂²×C₈	—	146	2	no	—
576	C₂×C₄²	—	73	1	no	—
577	C₂×C₄²	—	73	1	no	—
578	C₂×C₄²	—	73	1	no	—
579	C₂×C₄²	—	73	1	no	—
580	C₂×C₄²	—	73	1	no	—
581	C₂×C₄²	—	146	1	no	—
582	C₂×C₄²	—	146	1	no	—
583	C₂×C₄²	—	146	1	no	—
584	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
585	#108	—	73	8	no	—
586	#108	—	73	4	no	—
587	#108	C₂²×D₇₃	1	4	yes	complemented
588	#104	—	73	4	no	—
589	#104	—	73	4	no	—
590	#104	—	73	4	no	—
591	#104	—	73	4	no	—
592	#104	—	73	4	no	—
593	#104	—	73	4	no	—
594	#104	C₂²×D₇₃	1	4	yes	complemented
595	#104	C₂²×D₇₃	1	4	yes	complemented
596	#97	—	73	2	no	—
597	#97	—	73	2	no	—
598	#97	—	73	2	no	—
599	#97	C₂²×D₇₃	1	2	yes	complemented
600	C₄×C₈	—	73	2	no	—
601	C₄×C₈	—	73	2	no	—
602	C₄×C₈	—	73	2	no	—
603	C₄×C₈	C₂²×D₇₃	1	2	yes	complemented
604	C₂⁴	—	73	1	no	—
605	C₂⁴	—	146	2	no	—
606	#41	—	2	2	no	—
607	#41	—	2	2	no	—
608	#41	—	73	4	no	—
609	#41	—	73	4	no	—
610	#41	—	73	4	no	—
611	#41	—	73	4	no	—
612	#41	—	73	4	no	—
613	#41	—	73	4	no	—
614	#41	—	146	4	no	—
615	#41	—	146	4	no	—
616	#41	—	146	4	no	—
617	#41	—	146	4	no	—
618	#41	—	146	4	no	—
619	#41	—	146	4	no	—
620	#41	—	146	4	no	—
621	#41	—	146	4	no	—
622	#41	—	146	2	no	—
623	#41	—	146	2	no	—
624	#41	—	146	2	no	—
625	#41	—	146	2	no	—
626	#41	—	146	2	no	—
627	#41	—	146	2	no	—
628	#41	C₂×C₄×D₇₃	1	4	yes	—
629	#41	C₂³×D₇₃	1	4	yes	—
630	C₂×Q₈	—	73	4	no	—
631	C₂×Q₈	—	73	4	no	—
632	C₂×Q₈	—	73	2	no	—
633	C₂×Q₈	—	146	2	no	—
634	C₂×Q₈	—	146	2	no	—
635	C₂×Q₈	—	146	2	no	—
636	C₂×Q₈	C₂×C₄×D₇₃	1	2	yes	—
637	C₂×D₄	—	2	2	no	—
638	C₂×D₄	—	73	4	no	—
639	C₂×D₄	—	73	4	no	—
640	C₂×D₄	—	73	2	no	—
641	C₂×D₄	—	146	2	no	—
642	C₂×D₄	—	146	2	no	—
643	C₂×D₄	—	146	2	no	—
644	C₂×D₄	—	146	2	no	—
645	C₂×D₄	—	146	4	no	—
646	C₂×D₄	—	146	4	no	—
647	C₂×D₄	—	146	4	no	—
648	C₂×D₄	—	146	4	no	—
649	C₂×D₄	—	146	2	no	—
650	C₂×D₄	—	146	2	no	—
651	C₂×D₄	C₂×C₄×D₇₃	1	2	yes	—
652	C₂²×C₄	—	2	2	no	—
653	C₂²×C₄	—	2	1	no	—
654	C₂²×C₄	—	292	4	no	—
655	C₂²×C₄	—	73	1	no	—
656	C₂²×C₄	—	73	2	no	—
657	C₂²×C₄	—	73	2	no	—
658	C₂²×C₄	—	73	2	no	—
659	C₂²×C₄	—	73	2	no	—
660	C₂²×C₄	—	73	1	no	—
661	C₂²×C₄	—	73	1	no	—
662	C₂²×C₄	—	73	1	no	—
663	C₂²×C₄	—	73	1	no	—
664	C₂²×C₄	—	146	1	no	—
665	C₂²×C₄	—	146	1	no	—
666	C₂²×C₄	—	146	1	no	—
667	C₂²×C₄	—	146	4	no	—
668	C₂²×C₄	—	146	4	no	—
669	C₂²×C₄	—	146	2	no	—
670	C₂²×C₄	—	146	4	no	—
671	C₂²×C₄	—	146	4	no	—
672	C₂²×C₄	—	146	1	no	—
673	C₂²×C₄	—	146	2	no	—
674	C₂²×C₄	—	146	1	no	—
675	C₂²×C₄	—	146	2	no	—
676	C₂²×C₄	—	146	2	no	—
677	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
678	Q₁₆	—	73	8	no	—
679	Q₁₆	—	73	4	no	—
680	Q₁₆	C₂×C₄×D₇₃	1	4	yes	complemented
681	SD₁₆	—	73	8	no	—
682	SD₁₆	—	73	8	no	—
683	SD₁₆	—	73	8	no	—
684	SD₁₆	C₂×C₄×D₇₃	1	8	yes	complemented
685	D₈	—	73	8	no	—
686	D₈	—	73	4	no	—
687	D₈	C₂×C₄×D₇₃	1	4	yes	complemented
688	M₁₆	—	2	2	no	—
689	M₁₆	—	2	8	no	—
690	M₁₆	—	73	4	no	—
691	M₁₆	—	73	4	no	—
692	M₁₆	—	73	8	no	—
693	M₁₆	—	73	8	no	—
694	M₁₆	—	73	4	no	—
695	M₁₆	—	146	8	no	—
696	M₁₆	—	146	4	no	—
697	M₁₆	—	146	4	no	—
698	M₁₆	—	146	8	no	—
699	M₁₆	—	146	2	no	—
700	M₁₆	—	146	8	no	—
701	M₁₆	C₂×C₄×D₇₃	1	4	yes	—
702	M₁₆	D₄×D₇₃	1	4	yes	—
703	M₁₆	C₂³×D₇₃	1	4	yes	—
704	C₂×C₈	—	2	2	no	—
705	C₂×C₈	—	2	8	no	—
706	C₂×C₈	—	73	2	no	—
707	C₂×C₈	—	73	2	no	—
708	C₂×C₈	—	73	4	no	—
709	C₂×C₈	—	73	4	no	—
710	C₂×C₈	—	73	4	no	—
711	C₂×C₈	—	73	4	no	—
712	C₂×C₈	—	146	8	no	—
713	C₂×C₈	—	146	4	no	—
714	C₂×C₈	—	146	4	no	—
715	C₂×C₈	—	146	8	no	—
716	C₂×C₈	—	146	2	no	—
717	C₂×C₈	—	146	8	no	—
718	C₂×C₈	C₂³×D₇₃	1	2	yes	—
719	C₂×C₈	C₂³×D₇₃	1	2	yes	—
720	C₄²	—	2	1	no	—
721	C₄²	—	73	1	no	—
722	C₄²	—	73	1	no	—
723	C₄²	—	146	1	no	—
724	C₄²	—	146	1	no	—
725	C₄²	—	146	1	no	—
726	C₄²	—	146	1	no	—
727	C₄²	—	146	1	no	—
728	C₄²	C₂³×D₇₃	1	1	yes	characteristic
729	C₄²	C₂³×D₇₃	1	1	yes	characteristic
730	C₂³	—	2	2	no	—
731	C₂³	—	292	2	no	—
732	C₂³	—	584	4	no	—
733	C₂³	—	73	1	no	—
734	C₂³	—	73	2	no	—
735	C₂³	—	73	1	no	—
736	C₂³	—	73	2	no	—
737	C₂³	—	146	4	no	—
738	C₂³	—	146	4	no	—
739	C₂³	—	146	2	no	—
740	C₂³	#41×D₇₃	1	1	yes	characteristic
741	Q₈	—	2	2	no	—
742	Q₈	—	73	4	no	—
743	Q₈	—	146	4	no	—
744	Q₈	—	146	4	no	—
745	Q₈	—	146	2	no	—
746	Q₈	C₂²×C₄×D₇₃	1	4	yes	—
747	D₄	—	2	4	no	—
748	D₄	—	2	4	no	—
749	D₄	—	2	2	no	—
750	D₄	—	73	4	no	—
751	D₄	—	146	4	no	—
752	D₄	—	146	4	no	—
753	D₄	—	146	4	no	—
754	D₄	—	146	4	no	—
755	D₄	—	146	4	no	—
756	D₄	—	146	4	no	—
757	D₄	—	146	4	no	—
758	D₄	—	146	4	no	—
759	D₄	—	146	2	no	—
760	D₄	C₂²×C₄×D₇₃	1	4	yes	—
761	C₂×C₄	—	2	1	no	—
762	C₂×C₄	—	2	2	no	—
763	C₂×C₄	—	2	4	no	—
764	C₂×C₄	—	2	4	no	—
765	C₂×C₄	—	2	1	no	—
766	C₂×C₄	—	4	2	no	—
767	C₂×C₄	—	292	2	no	—
768	C₂×C₄	—	292	2	no	—
769	C₂×C₄	—	292	2	no	—
770	C₂×C₄	—	292	2	no	—
771	C₂×C₄	—	73	1	no	—
772	C₂×C₄	—	73	1	no	—
773	C₂×C₄	—	73	2	no	—
774	C₂×C₄	—	73	2	no	—
775	C₂×C₄	—	73	1	no	—
776	C₂×C₄	—	73	1	no	—
777	C₂×C₄	—	73	2	no	—
778	C₂×C₄	—	73	1	no	—
779	C₂×C₄	—	73	1	no	—
780	C₂×C₄	—	73	2	no	—
781	C₂×C₄	—	73	2	no	—
782	C₂×C₄	—	73	2	no	—
783	C₂×C₄	—	73	2	no	—
784	C₂×C₄	—	73	2	no	—
785	C₂×C₄	—	146	4	no	—
786	C₂×C₄	—	146	4	no	—
787	C₂×C₄	—	146	4	no	—
788	C₂×C₄	—	146	4	no	—
789	C₂×C₄	—	146	4	no	—
790	C₂×C₄	—	146	1	no	—
791	C₂×C₄	—	146	4	no	—
792	C₂×C₄	—	146	4	no	—
793	C₂×C₄	—	146	1	no	—
794	C₂×C₄	—	146	2	no	—
795	C₂×C₄	—	146	4	no	—
796	C₂×C₄	—	146	4	no	—
797	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
798	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
799	C₂×C₄	#41×D₇₃	1	1	yes	characteristic
800	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
801	C₈	—	2	4	no	—
802	C₈	—	73	4	no	—
803	C₈	—	73	4	no	—
804	C₈	—	146	4	no	—
805	C₈	C₂²×C₄×D₇₃	1	4	yes	—
806	C₈	C₂×D₄×D₇₃	1	4	yes	—
807	C₂²	—	2	4	no	—
808	C₂²	—	4	1	no	—
809	C₂²	—	8	2	no	—
810	C₂²	—	292	1	no	—
811	C₂²	—	292	2	no	—
812	C₂²	—	292	8	no	—
813	C₂²	—	584	2	no	—
814	C₂²	—	584	4	no	—
815	C₂²	—	73	1	no	—
816	C₂²	—	73	2	no	—
817	C₂²	—	73	1	no	—
818	C₂²	—	146	2	no	—
819	C₂²	—	146	4	no	—
820	C₂²	—	146	4	no	—
821	C₂²	C₄×D₄×D₇₃	1	2	yes	—
822	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
823	C₄	—	2	2	no	—
824	C₄	—	2	4	no	—
825	C₄	—	4	1	no	—
826	C₄	—	292	1	no	—
827	C₄	—	73	1	no	—
828	C₄	—	73	2	no	—
829	C₄	—	73	1	no	—
830	C₄	—	146	2	no	—
831	C₄	—	146	4	no	—
832	C₄	C₄×D₄×D₇₃	1	2	yes	—
833	C₄	C₂³×C₄×D₇₃	1	1	yes	characteristic
834	C₄	C₂²×D₄×D₇₃	1	1	yes	characteristic
835	C₂	—	2	1	no	—
836	C₂	—	2	2	no	—
837	C₂	—	4	4	no	—
838	C₂	—	292	4	no	—
839	C₂	—	73	2	no	—
840	C₂	—	146	2	no	—
841	C₂	—	146	1	no	—
842	C₂	C₂×C₄×D₄×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂²×D₄×D₇₃
commutator	C₄×C₇₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₇₃×#2956	C₂
socle	C₂×C₇₃	C₂²×C₄×D₄
prime radical	#575×D₇₃	C₂
cosocle	C₂×C₄×C₇₃	C₂⁵
hypercenter	#2956	D₇₃
hypocenter	C₇₃	C₂×#2956
LCS	G ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₄ ◁ C₂×M₁₆ ◁ #2956

Complements

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

N	H ≅ G/N	type
2. #568×D₇₃	C₂	semidirect
3. #22618842	C₂	semidirect
4. #22618841	C₂	semidirect
5. #22618840	C₂	semidirect
6. #22618839	C₂	semidirect
7. #22618838	C₂	semidirect
8. #22618837	C₂	semidirect
9. #22618836	C₂	semidirect
10. #444×D₇₃	C₂	semidirect
11. #443×D₇₃	C₂	semidirect
12. #430×D₇₃	C₂	semidirect
13. C₂×#104×D₇₃	C₂	semidirect
14. C₄×M₁₆×D₇₃	C₂	semidirect
15. C₇₃×#2956	C₂	semidirect
18. #17989386	C₄	semidirect
21. #17989383	C₄	semidirect
22. #137×D₇₃	C₄	semidirect
23. AGL(1,ℤ/8)×D₇₃	C₄	semidirect
25. #17989354	C₂²	semidirect
27. #17989353	C₂²	semidirect
28. #17989353	C₂²	semidirect
30. #17989352	C₂²	semidirect
32. #131×D₇₃	C₂²	semidirect
38. #17988710	C₂²	semidirect
39. #17988709	C₂²	semidirect
40. #17988708	C₂²	semidirect
41. #17988707	C₂²	semidirect
42. #17988706	C₂²	semidirect
43. #17988705	C₂²	semidirect
44. #17988704	C₂²	semidirect
45. #17988703	C₂²	semidirect
46. #17988702	C₂²	semidirect
47. #17988701	C₂²	semidirect
48. #17988636	C₂²	semidirect
49. #17988635	C₂²	semidirect
50. #17988634	C₂²	semidirect
51. #108×D₇₃	C₂²	semidirect
52. C₂×#14556519	C₂²	semidirect
53. C₂×#14556518	C₂²	semidirect
54. C₂×#14556517	C₂²	semidirect
55. #104×D₇₃	C₂²	semidirect
56. #104×D₇₃	C₂²	semidirect
57. #104×D₇₃	C₂²	semidirect
58. #104×D₇₃	C₂²	semidirect
59. C₄×#11924012	C₂²	semidirect
60. #17988539	C₂²	semidirect
61. M₁₆×Dic₇₃	C₂²	semidirect
62. M₁₆×Dic₇₃	C₂²	semidirect
63. C₄×#11924011	C₂²	semidirect
64. #97×D₇₃	C₂²	semidirect
65. C₄×C₈×D₇₃	C₂²	semidirect
67. #568×C₇₃	C₂²	semidirect
68. #444×C₇₃	C₂²	semidirect
69. #443×C₇₃	C₂²	semidirect
70. #430×C₇₃	C₂²	semidirect
71. C₂×#104×C₇₃	C₂²	semidirect
72. C₄×M₁₆×C₇₃	C₂²	semidirect
92. #14556624	C₂×C₄	semidirect
93. #14556623	C₂×C₄	semidirect
94. #14556622	C₂×C₄	semidirect
95. #14556621	C₂×C₄	semidirect
96. #14556620	C₂×C₄	semidirect
97. #14556619	C₂×C₄	semidirect
98. #14556618	C₂×C₄	semidirect
99. #14556617	C₂×C₄	semidirect
100. #14556616	C₂×C₄	semidirect
101. #14556615	C₂×C₄	semidirect
102. #14556614	C₂×C₄	semidirect
104. #14556612	C₂×C₄	semidirect
106. #14556610	C₂×C₄	semidirect
107. Q₁₆×D₇₃	C₂×C₄	semidirect
108. SD₁₆×D₇₃	C₂×C₄	semidirect
109. D₈×D₇₃	C₂×C₄	semidirect
113. #14556599	C₂³	semidirect
115. #14556598	C₂³	semidirect
119. #14556597	C₂³	semidirect
152. #14556527	C₂³	semidirect
153. #14556526	C₂³	semidirect
154. #14556519	C₂³	semidirect
155. #14556519	C₂³	semidirect
156. #14556518	C₂³	semidirect
157. #14556518	C₂³	semidirect
158. #14556517	C₂³	semidirect
159. #14556517	C₂³	semidirect
160. #14556502	C₂³	semidirect
161. #14556501	C₂³	semidirect
162. #14556501	C₂³	semidirect
163. C₄×#10596831	C₂³	semidirect
164. C₈×Dic₇₃	C₂³	semidirect
165. C₈×Dic₇₃	C₂³	semidirect
167. #137×C₇₃	C₂×C₄	semidirect
168. AGL(1,ℤ/8)×C₇₃	C₂×C₄	semidirect
171. #131×C₇₃	C₂³	semidirect
177. #108×C₇₃	C₂³	semidirect
178. #104×C₇₃	C₂³	semidirect
179. #104×C₇₃	C₂³	semidirect
180. #97×C₇₃	C₂³	semidirect
181. C₄×C₈×C₇₃	C₂³	semidirect
246. Dic₂₉₂	C₂²×C₄	semidirect
247. #11924018	C₂²×C₄	semidirect
248. #11924017	C₂²×C₄	semidirect
249. #11924016	C₂²×C₄	semidirect
250. #11924015	C₂²×C₄	semidirect
251. D₅₈₄	C₂²×C₄	semidirect
252. #11924013	C₂²×C₄	semidirect
293. Q₁₆×C₇₃	C₂²×C₄	semidirect
294. SD₁₆×C₇₃	C₂²×C₄	semidirect
295. D₈×C₇₃	C₂²×C₄	semidirect
421. D₇₃	#2956	direct (N × H)
431. #2956	D₇₃	direct (N × H)
437. C₇₃	C₂×#2956	semidirect
454. #568	C₂×D₇₃	semidirect
467. #444	C₂×D₇₃	semidirect
473. #443	C₂×D₇₃	semidirect
477. #430	C₂×D₇₃	semidirect
486. C₂×#104	C₂×D₇₃	semidirect
492. C₄×M₁₆	C₂×D₇₃	semidirect
520. #137	C₄×D₇₃	semidirect
526. AGL(1,ℤ/8)	C₄×D₇₃	semidirect
547. #131	C₂²×D₇₃	semidirect
587. #108	C₂²×D₇₃	semidirect
594. #104	C₂²×D₇₃	semidirect
595. #104	C₂²×D₇₃	semidirect
599. #97	C₂²×D₇₃	semidirect
603. C₄×C₈	C₂²×D₇₃	semidirect
680. Q₁₆	C₂×C₄×D₇₃	semidirect
684. SD₁₆	C₂×C₄×D₇₃	semidirect
687. D₈	C₂×C₄×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#575×D₇₃	2
#568×D₇₃	2
#22618842	2
#22618841	2
#22618840	2
#22618839	2
#22618838	2
#22618837	2
#22618836	2
#444×D₇₃	2
#443×D₇₃	2
#430×D₇₃	2
C₂×#104×D₇₃	2
C₄×M₁₆×D₇₃	2
C₇₃×#2956	2
C₂×#2956	73

Subgroups — #2956×D73 #33950291

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2956×D₇₃ #33950291