Subgroups — #34020717

Order 18688.

1118 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₇₃⋊#435	C₂	1	1	yes	maximal, characteristic
2	C₄×D₄×#64408	C₂	1	1	yes	maximal, characteristic
3	#22625732	C₂	1	1	yes	maximal, characteristic, complemented
4	#22625729	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄⋊C₈×#64408	C₂	1	1	yes	maximal, characteristic, complemented
6	#22625674	C₂	1	1	yes	maximal, characteristic, complemented
7	#22625671	C₂	1	1	yes	maximal, characteristic, complemented
8	#22625666	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈×C₂²⋊#64408	C₂	1	1	yes	maximal, characteristic, complemented
10	#22625659	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²⋊C₈×#64408	C₂	1	1	yes	maximal, characteristic, complemented
12	#22625647	C₂	1	1	yes	maximal, characteristic, complemented
13	#22625593	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#17989452	C₂	1	1	yes	maximal, characteristic, complemented
15	#435×D₇₃	C₂	1	1	yes	maximal, characteristic
16	C₂×D₇₃⋊M₁₆	C₂²	1	1	yes	characteristic
17	C₂²×#11924036	C₂²	1	1	yes	characteristic
18	C₂×D₄×#64408	C₄	1	2	yes	—
19	C₂²×C₄×#64408	C₂²	1	1	yes	characteristic
20	C₂²×C₄×#64408	C₂²	1	1	yes	characteristic
21	#17989619	C₄	1	2	yes	complemented
22	#17989618	C₄	1	2	yes	complemented
23	#17989617	C₄	1	2	yes	complemented
24	#17989616	C₄	1	2	yes	complemented
25	#17989588	C₂²	1	1	yes	characteristic
26	#17989555	C₂²	1	1	yes	characteristic
27	#17989555	C₂²	1	1	yes	characteristic
28	#17989546	C₂²	1	1	yes	characteristic
29	C₂×#14556645	C₂²	1	1	yes	characteristic
30	C₂×#14556645	C₂²	1	1	yes	characteristic
31	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
32	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
33	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
34	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
35	C₄⋊C₄×#64408	C₄	1	2	yes	—
36	C₄×C₄⋊#64408	C₂²	1	1	yes	characteristic
37	C₂²⋊C₄×#64408	C₄	1	2	yes	—
38	C₂²⋊C₄×#64408	C₄	1	2	yes	—
39	C₄×C₂²⋊#64408	C₂²	1	1	yes	characteristic
40	C₄×C₂²⋊#64408	C₂²	1	1	yes	characteristic
41	C₄²×#64408	C₂²	1	1	yes	characteristic
42	#17989452	C₂²	1	1	yes	characteristic
43	#17989452	C₂²	1	1	yes	characteristic
44	#17989452	C₂²	1	1	yes	characteristic
45	#17989452	C₂²	1	1	yes	characteristic
46	#17989452	C₂²	1	1	yes	characteristic
47	#17989452	C₂²	1	1	yes	characteristic
48	#17989452	C₂²	1	1	yes	characteristic
49	#17989452	C₂²	1	1	yes	characteristic
50	#17989452	C₂²	1	1	yes	characteristic
51	#17989452	C₂²	1	1	yes	characteristic
52	C₂×M₁₆×D₇₃	C₂²	1	1	yes	characteristic
53	C₂²×C₈×D₇₃	C₂²	1	1	yes	characteristic
54	C₄×D₄×D₇₃	C₂²	1	1	yes	characteristic
55	#17988661	C₄	1	1	yes	characteristic, complemented
56	#17988660	C₄	1	1	yes	characteristic, complemented
57	#17988659	C₄	1	1	yes	characteristic, complemented
58	#17988658	C₄	1	1	yes	characteristic, complemented
59	#17988657	C₄	1	1	yes	characteristic, complemented
60	#17988656	C₄	1	1	yes	characteristic, complemented
61	#17988655	C₄	1	1	yes	characteristic, complemented
62	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
63	C₂²⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
64	C₂²⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
65	#97×D₇₃	C₂²	1	1	yes	characteristic
66	#435×C₇₃	C₄	1	1	yes	characteristic, complemented
67	C₂³×#64408	C₂×C₄	1	2	yes	—
68	C₂³×#64408	C₂×C₄	1	2	yes	—
69	C₂×#11924038	C₂×C₄	1	2	yes	complemented
70	D₇₃⋊M₁₆	—	4	1	no	—
71	D₇₃⋊M₁₆	—	4	1	no	—
72	C₂×#11924037	C₂×C₄	1	2	yes	complemented
73	C₂×#11924036	—	4	1	no	—
74	C₂×#11924036	—	4	1	no	—
75	C₂×#11924036	C₂×C₄	1	2	yes	complemented
76	C₂×#11924036	C₂³	1	1	yes	characteristic
77	C₂×#11924036	C₂³	1	1	yes	characteristic
78	C₂×#11924036	C₂³	1	1	yes	characteristic
79	C₂×#11924036	C₂³	1	1	yes	characteristic
80	C₂²×#10596833	C₂×C₄	1	2	yes	complemented
81	D₄×#64408	—	2	8	no	—
82	C₂×C₄⋊#64408	C₂×C₄	1	2	yes	—
83	C₂×C₂²⋊#64408	C₂×C₄	1	2	yes	—
84	C₂×C₂²⋊#64408	C₂×C₄	1	2	yes	—
85	C₂×C₄×#64408	—	4	1	no	—
86	C₂×C₄×#64408	—	4	1	no	—
87	C₂×C₄×#64408	—	4	1	no	—
88	C₂×C₄×#64408	—	4	1	no	—
89	C₂×C₄×#64408	C₂×C₄	1	2	yes	—
90	C₂×C₄×#64408	C₂×C₄	1	2	yes	—
91	C₂×C₄×#64408	C₂×C₄	1	2	yes	—
92	C₂×C₄×#64408	C₂×C₄	1	2	yes	—
93	C₂×C₄×#64408	C₂³	1	1	yes	characteristic
94	C₂×C₄×#64408	C₂³	1	1	yes	characteristic
95	C₂×C₄×#64408	C₂³	1	1	yes	characteristic
96	C₂×C₄×#64408	C₂³	1	1	yes	characteristic
97	#14556658	C₂×C₄	1	2	yes	complemented
98	C₄⋊#10596833	C₂×C₄	1	2	yes	complemented
99	#14556648	C₂×C₄	1	2	yes	complemented
100	#14556648	C₂×C₄	1	2	yes	complemented
101	C₂²⋊#10596833	C₂×C₄	1	2	yes	complemented
102	C₂²⋊#10596833	C₂×C₄	1	2	yes	complemented
103	#14556646	C₂×C₄	1	2	yes	complemented
104	#14556646	C₂×C₄	1	2	yes	complemented
105	#14556645	—	4	1	no	—
106	#14556645	—	4	1	no	—
107	C₈×#64408	—	4	1	no	—
108	C₈×#64408	—	4	1	no	—
109	C₈×#64408	—	4	1	no	—
110	C₈×#64408	—	4	1	no	—
111	(C₂×#64408)⋊C₄	C₂×C₄	1	2	yes	—
112	(C₂×#64408)⋊C₄	C₂×C₄	1	2	yes	—
113	(C₂×#64408)⋊C₄	C₂×C₄	1	2	yes	—
114	C₂×D₄×D₇₃	C₂×C₄	1	1	yes	characteristic
115	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
116	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
117	C₂×#11924012	C₂×C₄	1	1	yes	characteristic, complemented
118	C₂×#11924011	C₂×C₄	1	1	yes	characteristic, complemented
119	C₂×#11924011	C₂×C₄	1	1	yes	characteristic, complemented
120	M₁₆×D₇₃	—	4	1	no	—
121	M₁₆×D₇₃	—	4	1	no	—
122	C₂²×#10596831	C₂×C₄	1	1	yes	characteristic, complemented
123	C₂×C₈×D₇₃	—	4	1	no	—
124	C₂×C₈×D₇₃	—	4	1	no	—
125	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic, complemented
126	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic, complemented
127	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
128	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
129	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
130	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
131	C₄×D₂₉₂	C₂×C₄	1	1	yes	characteristic
132	D₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic
133	#14556553	C₂×C₄	1	1	yes	characteristic
134	C₄×C₂²⋊D₇₃	C₂×C₄	1	1	yes	characteristic
135	C₄×C₂²⋊D₇₃	C₂×C₄	1	1	yes	characteristic
136	#14556551	C₂×C₄	1	1	yes	characteristic
137	#14556551	C₂×C₄	1	1	yes	characteristic
138	C₄⋊C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
139	C₂²⋊C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
140	C₂²⋊C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
141	C₄²×D₇₃	C₂³	1	1	yes	characteristic
142	C₄⋊#10596831	C₂×C₄	1	1	yes	characteristic, complemented
143	#14556520	C₂×C₄	1	1	yes	characteristic, complemented
144	#14556520	C₂×C₄	1	1	yes	characteristic, complemented
145	C₂²⋊#10596831	C₂×C₄	1	1	yes	characteristic, complemented
146	C₂²⋊#10596831	C₂×C₄	1	1	yes	characteristic, complemented
147	#14556503	C₂×C₄	1	1	yes	characteristic, complemented
148	#14556503	C₂×C₄	1	1	yes	characteristic, complemented
149	#14556503	C₂×C₄	1	1	yes	characteristic, complemented
150	#14556503	C₂×C₄	1	1	yes	characteristic, complemented
151	#14556502	C₂×C₄	1	1	yes	characteristic, complemented
152	#14556501	C₂×C₄	1	1	yes	characteristic, complemented
153	#14556501	C₂×C₄	1	1	yes	characteristic, complemented
154	C₂×M₁₆×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
155	C₂²×C₈×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
156	C₄×D₄×C₇₃	C₂×C₄	1	1	yes	characteristic
157	C₄⋊C₈×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
158	C₂²⋊C₈×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
159	C₂²⋊C₈×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
160	#97×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
161	C₂²×#64408	—	2	4	no	—
162	C₂²×#64408	—	2	4	no	—
163	C₂²×#64408	—	2	4	no	—
164	C₂²×#64408	—	2	4	no	—
165	C₂²×#64408	—	4	2	no	—
166	C₂²×#64408	—	4	2	no	—
167	C₂²×#64408	C₂²×C₄	1	2	yes	—
168	C₂²×#64408	C₂²×C₄	1	2	yes	—
169	C₂²×#64408	C₂²×C₄	1	2	yes	—
170	C₂²×#64408	C₂²×C₄	1	2	yes	—
171	#11924038	—	4	2	no	—
172	#11924037	—	4	2	no	—
173	#11924036	—	2	1	no	—
174	#11924036	—	2	1	no	—
175	#11924036	—	2	1	no	—
176	#11924036	—	2	1	no	—
177	#11924036	—	2	1	no	—
178	#11924036	—	2	1	no	—
179	#11924036	—	2	1	no	—
180	#11924036	—	2	1	no	—
181	#11924036	—	4	2	no	—
182	C₂×#10596833	—	4	2	no	—
183	C₂×#10596833	C₂²×C₄	1	2	yes	—
184	C₂×#10596833	C₂²×C₄	1	2	yes	—
185	C₂×#10596833	C₂²×C₄	1	2	yes	—
186	C₂×#10596833	C₂²×C₄	1	2	yes	—
187	C₄⋊#64408	—	2	4	no	—
188	C₂²⋊#64408	—	2	4	no	—
189	C₂²⋊#64408	M₁₆	1	8	yes	complemented
190	C₄×#64408	—	2	4	no	—
191	C₄×#64408	—	2	4	no	—
192	C₄×#64408	—	2	1	no	—
193	C₄×#64408	—	2	1	no	—
194	C₄×#64408	—	2	1	no	—
195	C₄×#64408	—	2	1	no	—
196	C₄×#64408	—	2	1	no	—
197	C₄×#64408	—	2	1	no	—
198	C₄×#64408	—	2	1	no	—
199	C₄×#64408	—	2	1	no	—
200	C₄×#64408	—	4	2	no	—
201	C₄×#64408	—	4	2	no	—
202	C₂³×D₇₃	C₂²×C₄	1	1	yes	characteristic
203	C₂³×D₇₃	C₂²×C₄	1	1	yes	characteristic
204	C₂×D₂₉₂	C₄²	1	1	yes	characteristic
205	C₂×C₂²⋊D₇₃	C₄²	1	1	yes	characteristic
206	C₂×C₂²⋊D₇₃	C₄²	1	1	yes	characteristic
207	D₄×D₇₃	—	2	4	no	—
208	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
209	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
210	C₂×C₄×D₇₃	—	2	1	no	—
211	C₂×C₄×D₇₃	—	2	1	no	—
212	C₂×C₄×D₇₃	—	2	1	no	—
213	C₂×C₄×D₇₃	—	2	1	no	—
214	C₂×C₄×D₇₃	—	2	1	no	—
215	C₂×C₄×D₇₃	—	2	1	no	—
216	C₂×C₄×D₇₃	—	2	1	no	—
217	C₂×C₄×D₇₃	—	2	1	no	—
218	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
219	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
220	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
221	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
222	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
223	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
224	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
225	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
226	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
227	#11924012	—	4	1	no	—
228	#11924011	—	4	1	no	—
229	#11924011	—	4	1	no	—
230	C₂×#10596831	—	4	1	no	—
231	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
232	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
233	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
234	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
235	C₈×D₇₃	—	2	1	no	—
236	C₈×D₇₃	—	2	1	no	—
237	C₈×D₇₃	—	2	1	no	—
238	C₈×D₇₃	—	2	1	no	—
239	C₈×D₇₃	—	2	1	no	—
240	C₈×D₇₃	—	2	1	no	—
241	C₈×D₇₃	—	2	1	no	—
242	C₈×D₇₃	—	2	1	no	—
243	C₈×D₇₃	—	4	1	no	—
244	C₈×D₇₃	—	4	1	no	—
245	C₄⋊Dic₇₃	C₄²	1	1	yes	characteristic
246	#11924007	C₄²	1	1	yes	characteristic
247	#11924007	C₄²	1	1	yes	characteristic
248	C₂²⋊Dic₇₃	C₄²	1	1	yes	characteristic
249	C₂²⋊Dic₇₃	C₄²	1	1	yes	characteristic
250	#11924005	C₄²	1	1	yes	characteristic
251	#11924005	C₄²	1	1	yes	characteristic
252	#11924005	C₄²	1	1	yes	characteristic
253	#11924005	C₄²	1	1	yes	characteristic
254	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
255	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
256	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
257	C₂×D₄×C₇₃	C₄²	1	1	yes	characteristic
258	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
259	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
260	M₁₆×C₇₃	—	4	1	no	—
261	C₂×C₈×C₇₃	—	4	1	no	—
262	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
263	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
264	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
265	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
266	C₄⋊C₄×C₇₃	C₄²	1	1	yes	characteristic
267	C₂²⋊C₄×C₇₃	C₄²	1	1	yes	characteristic
268	C₂²⋊C₄×C₇₃	C₄²	1	1	yes	characteristic
269	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
270	C₂³×C₇₃	C₂×C₄²	1	1	yes	characteristic
271	C₂³×C₇₃	C₂×C₄²	1	1	yes	characteristic
272	C₂²×D₇₃	—	2	1	no	—
273	C₂²×D₇₃	—	2	1	no	—
274	C₂²×D₇₃	—	2	2	no	—
275	C₂²×D₇₃	—	2	1	no	—
276	C₂²×D₇₃	—	2	1	no	—
277	C₂²×D₇₃	—	2	2	no	—
278	C₂²×D₇₃	—	2	2	no	—
279	C₂²×D₇₃	C₂×C₄²	1	1	yes	characteristic
280	C₂²×D₇₃	C₂×C₄²	1	1	yes	characteristic
281	C₂²×D₇₃	C₂×M₁₆	1	4	yes	—
282	C₂²×D₇₃	C₂³×C₄	1	1	yes	characteristic
283	C₂×#64408	—	2	2	no	—
284	C₂×#64408	—	2	2	no	—
285	C₂×#64408	—	2	2	no	—
286	C₂×#64408	—	2	2	no	—
287	C₂×#64408	—	2	2	no	—
288	C₂×#64408	—	2	2	no	—
289	C₂×#64408	—	2	2	no	—
290	C₂×#64408	—	2	2	no	—
291	C₂×#64408	—	2	2	no	—
292	C₂×#64408	—	4	8	no	—
293	C₂×#64408	—	4	8	no	—
294	C₂×#64408	C₂×M₁₆	1	4	yes	—
295	C₂×#64408	C₂×M₁₆	1	4	yes	—
296	C₂×#64408	#131	1	4	yes	—
297	D₄×C₇₃	—	2	2	no	—
298	C₂×C₄×C₇₃	—	2	1	no	—
299	C₂×C₄×C₇₃	—	2	1	no	—
300	C₂×C₄×C₇₃	—	2	1	no	—
301	C₂×C₄×C₇₃	—	2	1	no	—
302	C₂×C₄×C₇₃	C₂×C₄²	1	1	yes	characteristic
303	C₂×C₄×C₇₃	C₂×C₄²	1	1	yes	characteristic
304	C₂×C₄×C₇₃	C₂×C₄²	1	1	yes	characteristic
305	C₂×C₄×C₇₃	C₂×C₄²	1	1	yes	characteristic
306	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
307	C₂²⋊D₇₃	—	2	2	no	—
308	C₂²⋊D₇₃	—	2	2	no	—
309	C₂×Dic₇₃	—	2	1	no	—
310	C₂×Dic₇₃	—	2	1	no	—
311	C₂×Dic₇₃	—	2	1	no	—
312	C₂×Dic₇₃	—	2	1	no	—
313	C₂×Dic₇₃	C₂×C₄²	1	1	yes	characteristic
314	C₂×Dic₇₃	C₂×C₄²	1	1	yes	characteristic
315	C₂×Dic₇₃	C₂×C₄²	1	1	yes	characteristic
316	C₂×Dic₇₃	C₂×C₄²	1	1	yes	characteristic
317	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
318	D₂₉₂	—	2	2	no	—
319	C₄×D₇₃	—	2	1	no	—
320	C₄×D₇₃	—	2	1	no	—
321	C₄×D₇₃	—	2	1	no	—
322	C₄×D₇₃	—	2	1	no	—
323	C₄×D₇₃	—	2	2	no	—
324	C₄×D₇₃	—	2	2	no	—
325	C₄×D₇₃	—	2	1	no	—
326	C₄×D₇₃	—	2	1	no	—
327	C₄×D₇₃	—	2	1	no	—
328	C₄×D₇₃	—	2	1	no	—
329	C₄×D₇₃	—	2	1	no	—
330	C₄×D₇₃	—	2	1	no	—
331	C₄×D₇₃	—	2	1	no	—
332	C₄×D₇₃	—	2	1	no	—
333	C₄×D₇₃	H(5,𝔽₂)	1	1	yes	characteristic
334	C₄×D₇₃	H(5,𝔽₂)	1	1	yes	characteristic
335	C₄×D₇₃	H(5,𝔽₂)	1	1	yes	characteristic
336	C₄×D₇₃	2₋¹⁺⁴	1	1	yes	characteristic
337	#10596833	—	2	2	no	—
338	#10596833	—	2	2	no	—
339	#10596833	—	2	2	no	—
340	#10596833	—	2	2	no	—
341	C₈×C₇₃	—	2	1	no	—
342	C₈×C₇₃	—	2	1	no	—
343	C₈×C₇₃	—	2	1	no	—
344	C₈×C₇₃	—	2	1	no	—
345	#10596831	—	2	1	no	—
346	#10596831	—	2	1	no	—
347	#10596831	—	2	1	no	—
348	#10596831	—	2	1	no	—
349	C₂²×C₇₃	—	2	1	no	—
350	C₂²×C₇₃	—	2	1	no	—
351	C₂²×C₇₃	—	2	1	no	—
352	C₂²×C₇₃	—	2	1	no	—
353	C₂²×C₇₃	—	2	1	no	—
354	C₂²×C₇₃	C₄×M₁₆	1	2	yes	—
355	C₂²×C₇₃	C₂²×C₄²	1	1	yes	characteristic
356	C₂×D₇₃	—	2	1	no	—
357	C₂×D₇₃	—	2	1	no	—
358	C₂×D₇₃	—	2	4	no	—
359	C₂×D₇₃	—	2	4	no	—
360	C₂×D₇₃	—	2	1	no	—
361	C₂×D₇₃	—	2	1	no	—
362	C₂×D₇₃	—	2	1	no	—
363	C₂×D₇₃	—	4	2	no	—
364	C₂×D₇₃	—	4	2	no	—
365	C₂×D₇₃	C₄×M₁₆	1	2	yes	—
366	C₂×D₇₃	#518	1	1	yes	characteristic
367	C₂×D₇₃	#520	1	1	yes	characteristic
368	C₂×D₇₃	C₂²×M₁₆	1	2	yes	—
369	C₂×D₇₃	C₂×#131	1	2	yes	—
370	#64408	—	2	4	no	—
371	#64408	—	2	4	no	—
372	#64408	—	2	4	no	—
373	#64408	—	4	2	no	—
374	C₄×C₇₃	—	2	1	no	—
375	C₄×C₇₃	—	2	1	no	—
376	C₄×C₇₃	—	2	1	no	—
377	C₄×C₇₃	—	2	1	no	—
378	C₄×C₇₃	#518	1	1	yes	characteristic
379	C₄×C₇₃	#520	1	1	yes	characteristic
380	Dic₇₃	—	2	1	no	—
381	Dic₇₃	—	2	1	no	—
382	Dic₇₃	—	2	1	no	—
383	Dic₇₃	—	2	1	no	—
384	Dic₇₃	#518	1	1	yes	characteristic
385	Dic₇₃	#520	1	1	yes	characteristic
386	#20559	—	73	1	no	maximal, Sylow
387	C₂×C₇₃	—	2	2	no	—
388	C₂×C₇₃	—	4	1	no	—
389	C₂×C₇₃	#2275	1	1	yes	characteristic
390	C₂×C₇₃	C₂×C₄×M₁₆	1	1	yes	characteristic
391	C₂×C₇₃	C₄×#131	1	1	yes	characteristic
392	D₇₃	—	2	2	no	—
393	D₇₃	—	4	1	no	—
394	D₇₃	#2974	1	2	yes	—
395	D₇₃	#2990	1	2	yes	—
396	C₂×#435	—	73	1	no	—
397	C₂×#435	—	73	1	no	—
398	C₄²×D₄	—	73	1	no	—
399	#1771	—	73	1	no	—
400	#1771	—	73	1	no	—
401	C₄×C₄⋊C₈	—	73	1	no	—
402	#1753	—	73	1	no	—
403	#1753	—	73	1	no	—
404	C₈×C₂²⋊C₄	—	73	1	no	—
405	C₈×C₂²⋊C₄	—	73	1	no	—
406	#1749	—	73	1	no	—
407	C₄×C₂²⋊C₈	—	73	1	no	—
408	#1745	—	73	1	no	—
409	#1728	—	73	1	no	—
410	C₂×#336	—	73	1	no	—
411	C₇₃	#20559	1	1	yes	characteristic, complemented, Sylow
412	C₂²×M₁₆	—	73	1	no	—
413	C₂²×M₁₆	—	73	1	no	—
414	C₂³×C₈	—	73	1	no	—
415	C₂³×C₈	—	73	1	no	—
416	C₂×C₄×D₄	—	73	1	no	—
417	C₂×C₄×D₄	—	73	2	no	—
418	C₂²×C₄²	—	73	1	no	—
419	C₂²×C₄²	—	73	1	no	—
420	#435	—	73	2	no	—
421	#435	—	73	2	no	—
422	#435	—	73	2	no	—
423	#435	—	73	2	no	—
424	#435	—	73	1	no	—
425	#435	—	73	1	no	—
426	#435	—	73	1	no	—
427	#435	—	73	1	no	—
428	#435	—	73	1	no	—
429	#435	—	73	1	no	—
430	#435	—	73	1	no	—
431	#435	#64408	1	1	yes	characteristic, complemented
432	C₂×C₄⋊C₈	—	73	1	no	—
433	C₂×C₄⋊C₈	—	73	1	no	—
434	C₂×C₂²⋊C₈	—	73	1	no	—
435	C₂×C₂²⋊C₈	—	73	1	no	—
436	C₂×C₂²⋊C₈	—	73	1	no	—
437	C₂×C₂²⋊C₈	—	73	1	no	—
438	C₂×#97	—	73	1	no	—
439	C₂×#97	—	73	1	no	—
440	C₂×#97	—	73	1	no	—
441	C₂×#97	—	73	1	no	—
442	C₂×C₄×C₈	—	73	1	no	—
443	C₂×C₄×C₈	—	73	1	no	—
444	C₂×C₄×C₈	—	73	1	no	—
445	C₂×C₄×C₈	—	73	1	no	—
446	C₄×C₄⋊C₄	—	73	1	no	—
447	C₄×C₄⋊C₄	—	73	2	no	—
448	C₄×C₂²⋊C₄	—	73	1	no	—
449	C₄×C₂²⋊C₄	—	73	1	no	—
450	C₄×C₂²⋊C₄	—	73	2	no	—
451	C₄×C₂²⋊C₄	—	73	2	no	—
452	C₄³	—	73	1	no	—
453	#336	—	73	1	no	—
454	#336	—	73	1	no	—
455	#336	—	73	1	no	—
456	#336	—	73	1	no	—
457	#336	—	73	1	no	—
458	#336	—	73	1	no	—
459	#336	—	73	1	no	—
460	#336	—	73	1	no	—
461	#336	—	73	1	no	—
462	#336	—	73	1	no	—
463	C₂²×D₄	—	73	1	no	—
464	C₂³×C₄	—	73	2	no	—
465	C₂³×C₄	—	73	2	no	—
466	C₂³×C₄	—	73	1	no	—
467	C₂³×C₄	—	73	1	no	—
468	C₂×M₁₆	—	292	1	no	—
469	C₂×M₁₆	—	292	1	no	—
470	C₂×M₁₆	—	292	1	no	—
471	C₂×M₁₆	—	292	1	no	—
472	C₂×M₁₆	—	73	2	no	—
473	C₂×M₁₆	—	73	2	no	—
474	C₂×M₁₆	—	73	1	no	—
475	C₂×M₁₆	—	73	1	no	—
476	C₂×M₁₆	—	73	1	no	—
477	C₂×M₁₆	C₂×#64408	1	1	yes	characteristic, complemented
478	C₂²×C₈	—	292	1	no	—
479	C₂²×C₈	—	292	1	no	—
480	C₂²×C₈	—	292	1	no	—
481	C₂²×C₈	—	292	1	no	—
482	C₂²×C₈	—	73	2	no	—
483	C₂²×C₈	—	73	2	no	—
484	C₂²×C₈	—	73	1	no	—
485	C₂²×C₈	—	73	1	no	—
486	C₂²×C₈	—	73	1	no	—
487	C₂²×C₈	—	73	1	no	—
488	C₂²×C₈	—	73	1	no	—
489	C₂²×C₈	—	73	1	no	—
490	C₂²×C₈	—	73	1	no	—
491	C₂²×C₈	—	73	1	no	—
492	C₂²×C₈	—	73	1	no	—
493	C₂²×C₈	—	73	1	no	—
494	C₂²×C₈	—	73	1	no	—
495	C₂²×C₈	C₂×#64408	1	1	yes	characteristic, complemented
496	C₄×D₄	—	73	1	no	—
497	C₄×D₄	—	73	1	no	—
498	C₄×D₄	—	73	1	no	—
499	C₄×D₄	—	73	1	no	—
500	C₄×D₄	—	73	1	no	—
501	C₄×D₄	—	73	1	no	—
502	C₄×D₄	—	73	1	no	—
503	C₄×D₄	—	146	8	no	—
504	C₄×D₄	C₂×#64408	1	1	yes	characteristic
505	C₂×C₄⋊C₄	—	73	1	no	—
506	C₂×C₄⋊C₄	—	73	2	no	—
507	C₂×C₂²⋊C₄	—	73	2	no	—
508	C₂×C₂²⋊C₄	—	73	1	no	—
509	C₂×C₂²⋊C₄	—	73	1	no	—
510	C₂×C₂²⋊C₄	—	73	2	no	—
511	C₂×C₄²	—	292	1	no	—
512	C₂×C₄²	—	292	1	no	—
513	C₂×C₄²	—	292	1	no	—
514	C₂×C₄²	—	292	1	no	—
515	C₂×C₄²	—	73	2	no	—
516	C₂×C₄²	—	73	2	no	—
517	C₂×C₄²	—	73	1	no	—
518	C₂×C₄²	—	73	2	no	—
519	C₂×C₄²	—	73	1	no	—
520	C₂×C₄²	—	73	1	no	—
521	C₂×C₄²	—	73	1	no	—
522	C₂×C₄²	—	73	1	no	—
523	C₂×C₄²	—	73	2	no	—
524	C₄⋊C₈	—	73	2	no	—
525	C₄⋊C₈	—	73	2	no	—
526	C₄⋊C₈	—	73	1	no	—
527	C₄⋊C₈	—	73	1	no	—
528	C₄⋊C₈	—	73	1	no	—
529	C₄⋊C₈	C₂×#64408	1	1	yes	characteristic, complemented
530	C₂²⋊C₈	—	73	2	no	—
531	C₂²⋊C₈	—	73	2	no	—
532	C₂²⋊C₈	—	73	2	no	—
533	C₂²⋊C₈	—	73	2	no	—
534	C₂²⋊C₈	—	73	1	no	—
535	C₂²⋊C₈	—	73	1	no	—
536	C₂²⋊C₈	—	73	1	no	—
537	C₂²⋊C₈	—	73	1	no	—
538	C₂²⋊C₈	—	73	1	no	—
539	C₂²⋊C₈	—	73	1	no	—
540	C₂²⋊C₈	C₂×#64408	1	1	yes	characteristic, complemented
541	C₂²⋊C₈	C₂×#64408	1	1	yes	characteristic, complemented
542	#97	—	292	1	no	—
543	#97	—	292	1	no	—
544	#97	—	73	2	no	—
545	#97	—	73	2	no	—
546	#97	—	73	1	no	—
547	#97	—	73	1	no	—
548	#97	—	73	1	no	—
549	#97	C₂×#64408	1	1	yes	characteristic, complemented
550	C₄×C₈	—	292	1	no	—
551	C₄×C₈	—	292	1	no	—
552	C₄×C₈	—	292	1	no	—
553	C₄×C₈	—	292	1	no	—
554	#95	—	73	2	no	—
555	#95	—	73	2	no	—
556	#95	—	73	2	no	—
557	C₂⁴	—	73	1	no	—
558	C₂⁴	—	73	1	no	—
559	C₂×D₄	—	73	1	no	—
560	C₂×D₄	—	73	1	no	—
561	C₂×D₄	—	73	1	no	—
562	C₂×D₄	—	146	4	no	—
563	C₂×D₄	C₄×#64408	1	1	yes	characteristic
564	C₂²×C₄	—	292	2	no	—
565	C₂²×C₄	—	292	2	no	—
566	C₂²×C₄	—	73	1	no	—
567	C₂²×C₄	—	73	2	no	—
568	C₂²×C₄	—	73	2	no	—
569	C₂²×C₄	—	73	2	no	—
570	C₂²×C₄	—	73	1	no	—
571	C₂²×C₄	—	73	1	no	—
572	C₂²×C₄	—	73	1	no	—
573	C₂²×C₄	—	73	1	no	—
574	C₂²×C₄	—	73	1	no	—
575	C₂²×C₄	—	73	1	no	—
576	C₂²×C₄	—	73	1	no	—
577	C₂²×C₄	—	73	1	no	—
578	C₂²×C₄	—	73	1	no	—
579	C₂²×C₄	—	73	1	no	—
580	C₂²×C₄	—	73	2	no	—
581	C₂²×C₄	—	146	1	no	—
582	C₂²×C₄	—	146	1	no	—
583	C₂²×C₄	—	146	1	no	—
584	C₂²×C₄	—	146	1	no	—
585	C₂²×C₄	—	146	1	no	—
586	C₂²×C₄	—	146	1	no	—
587	C₂²×C₄	—	146	1	no	—
588	C₂²×C₄	—	146	1	no	—
589	C₂²×C₄	—	146	4	no	—
590	C₂²×C₄	—	146	4	no	—
591	C₂²×C₄	—	146	4	no	—
592	C₂²×C₄	—	146	4	no	—
593	C₂²×C₄	C₂²×#64408	1	1	yes	characteristic
594	C₂²×C₄	C₂²×#64408	1	1	yes	characteristic
595	M₁₆	—	4	1	no	—
596	M₁₆	—	292	1	no	—
597	M₁₆	—	292	1	no	—
598	M₁₆	—	292	1	no	—
599	M₁₆	—	292	2	no	—
600	M₁₆	—	292	2	no	—
601	C₂×C₈	—	4	1	no	—
602	C₂×C₈	—	292	1	no	—
603	C₂×C₈	—	292	1	no	—
604	C₂×C₈	—	292	1	no	—
605	C₂×C₈	—	292	2	no	—
606	C₂×C₈	—	292	2	no	—
607	C₂×C₈	—	73	2	no	—
608	C₂×C₈	—	73	2	no	—
609	C₂×C₈	—	73	2	no	—
610	C₂×C₈	—	73	2	no	—
611	C₂×C₈	—	73	1	no	—
612	C₂×C₈	—	73	1	no	—
613	C₂×C₈	—	73	1	no	—
614	C₂×C₈	—	73	1	no	—
615	C₂×C₈	—	146	1	no	—
616	C₂×C₈	—	146	1	no	—
617	C₂×C₈	—	146	1	no	—
618	C₂×C₈	—	146	1	no	—
619	C₂×C₈	—	146	1	no	—
620	C₂×C₈	—	146	1	no	—
621	C₂×C₈	—	146	1	no	—
622	C₂×C₈	—	146	1	no	—
623	C₂×C₈	—	146	1	no	—
624	C₂×C₈	—	146	1	no	—
625	C₂×C₈	—	146	1	no	—
626	C₂×C₈	—	146	1	no	—
627	C₂×C₈	—	146	1	no	—
628	C₂×C₈	—	146	1	no	—
629	C₂×C₈	—	146	1	no	—
630	C₂×C₈	—	146	1	no	—
631	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
632	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
633	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
634	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
635	C₄⋊C₄	—	73	1	no	—
636	C₄⋊C₄	—	73	1	no	—
637	C₄⋊C₄	—	73	1	no	—
638	C₄⋊C₄	—	146	4	no	—
639	C₄⋊C₄	C₄×#64408	1	1	yes	characteristic
640	C₂²⋊C₄	—	73	8	no	—
641	C₂²⋊C₄	—	73	1	no	—
642	C₂²⋊C₄	—	73	1	no	—
643	C₂²⋊C₄	—	73	1	no	—
644	C₂²⋊C₄	—	73	1	no	—
645	C₂²⋊C₄	—	73	1	no	—
646	C₂²⋊C₄	—	73	1	no	—
647	C₂²⋊C₄	—	146	4	no	—
648	C₂²⋊C₄	C₄×#64408	1	1	yes	characteristic
649	C₂²⋊C₄	C₄×#64408	1	1	yes	characteristic
650	C₄²	—	292	2	no	—
651	C₄²	—	292	2	no	—
652	C₄²	—	73	1	no	—
653	C₄²	—	73	1	no	—
654	C₄²	—	73	1	no	—
655	C₄²	—	146	1	no	—
656	C₄²	—	146	1	no	—
657	C₄²	—	146	1	no	—
658	C₄²	—	146	1	no	—
659	C₄²	—	146	1	no	—
660	C₄²	—	146	1	no	—
661	C₄²	—	146	1	no	—
662	C₄²	—	146	1	no	—
663	C₄²	—	146	4	no	—
664	C₄²	—	146	4	no	—
665	C₄²	C₂²×#64408	1	1	yes	characteristic
666	C₂³	—	73	1	no	—
667	C₂³	—	73	1	no	—
668	C₂³	—	73	4	no	—
669	C₂³	—	73	1	no	—
670	C₂³	—	146	2	no	—
671	C₂³	—	146	1	no	—
672	C₂³	—	146	1	no	—
673	C₂³	—	146	2	no	—
674	C₂³	—	146	1	no	—
675	C₂³	—	146	1	no	—
676	C₂³	—	146	2	no	—
677	C₂³	C₂×C₄×#64408	1	1	yes	characteristic
678	C₂³	C₂×C₄×#64408	1	1	yes	characteristic
679	D₄	—	2	2	no	—
680	D₄	—	146	2	no	—
681	D₄	—	146	2	no	—
682	D₄	—	146	2	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	292	8	no	—
688	C₂×C₄	—	292	8	no	—
689	C₂×C₄	—	73	1	no	—
690	C₂×C₄	—	73	1	no	—
691	C₂×C₄	—	73	1	no	—
692	C₂×C₄	—	73	1	no	—
693	C₂×C₄	—	73	1	no	—
694	C₂×C₄	—	73	4	no	—
695	C₂×C₄	—	73	4	no	—
696	C₂×C₄	—	73	4	no	—
697	C₂×C₄	—	73	1	no	—
698	C₂×C₄	—	73	1	no	—
699	C₂×C₄	—	73	1	no	—
700	C₂×C₄	—	73	1	no	—
701	C₂×C₄	—	146	1	no	—
702	C₂×C₄	—	146	1	no	—
703	C₂×C₄	—	146	1	no	—
704	C₂×C₄	—	146	1	no	—
705	C₂×C₄	—	146	1	no	—
706	C₂×C₄	—	146	1	no	—
707	C₂×C₄	—	146	2	no	—
708	C₂×C₄	—	146	2	no	—
709	C₂×C₄	—	146	1	no	—
710	C₂×C₄	—	146	1	no	—
711	C₂×C₄	—	146	2	no	—
712	C₂×C₄	—	146	2	no	—
713	C₂×C₄	—	146	2	no	—
714	C₂×C₄	—	146	1	no	—
715	C₂×C₄	—	146	1	no	—
716	C₂×C₄	—	146	1	no	—
717	C₂×C₄	—	146	1	no	—
718	C₂×C₄	—	146	2	no	—
719	C₂×C₄	—	146	2	no	—
720	C₂×C₄	—	146	2	no	—
721	C₂×C₄	—	146	2	no	—
722	C₂×C₄	—	146	2	no	—
723	C₂×C₄	—	146	2	no	—
724	C₂×C₄	—	146	1	no	—
725	C₂×C₄	—	146	1	no	—
726	C₂×C₄	—	146	1	no	—
727	C₂×C₄	—	146	1	no	—
728	C₂×C₄	C₂×C₄×#64408	1	1	yes	characteristic
729	C₂×C₄	C₂×C₄×#64408	1	1	yes	characteristic
730	C₂×C₄	C₂×C₄×#64408	1	1	yes	characteristic
731	C₂×C₄	C₂×C₄×#64408	1	1	yes	characteristic
732	C₂×C₄	C₂³×#64408	1	1	yes	characteristic
733	C₈	—	2	1	no	—
734	C₈	—	2	1	no	—
735	C₈	—	2	1	no	—
736	C₈	—	2	1	no	—
737	C₈	—	146	2	no	—
738	C₈	—	146	2	no	—
739	C₈	—	146	2	no	—
740	C₈	—	146	2	no	—
741	C₈	—	146	1	no	—
742	C₈	—	146	1	no	—
743	C₈	—	146	1	no	—
744	C₈	—	146	1	no	—
745	C₂²	—	2	1	no	—
746	C₂²	—	2	1	no	—
747	C₂²	—	2	1	no	—
748	C₂²	—	2	1	no	—
749	C₂²	—	2	1	no	—
750	C₂²	—	292	2	no	—
751	C₂²	—	292	2	no	—
752	C₂²	—	73	1	no	—
753	C₂²	—	73	1	no	—
754	C₂²	—	73	2	no	—
755	C₂²	—	73	2	no	—
756	C₂²	—	73	2	no	—
757	C₂²	—	146	4	no	—
758	C₂²	—	146	4	no	—
759	C₂²	—	146	1	no	—
760	C₂²	—	146	1	no	—
761	C₂²	—	146	1	no	—
762	C₂²	—	146	1	no	—
763	C₂²	—	146	1	no	—
764	C₂²	M₁₆×#64408	1	2	yes	—
765	C₂²	C₂²×C₄×#64408	1	1	yes	characteristic
766	C₄	—	2	1	no	—
767	C₄	—	2	1	no	—
768	C₄	—	2	1	no	—
769	C₄	—	2	1	no	—
770	C₄	—	292	2	no	—
771	C₄	—	73	1	no	—
772	C₄	—	73	1	no	—
773	C₄	—	146	4	no	—
774	C₄	—	146	4	no	—
775	C₄	—	146	4	no	—
776	C₄	—	146	1	no	—
777	C₄	—	146	1	no	—
778	C₄	—	146	1	no	—
779	C₄	—	146	1	no	—
780	C₄	#17989654	1	1	yes	characteristic
781	C₄	#17989656	1	1	yes	characteristic
782	C₂	—	2	2	no	—
783	C₂	—	4	1	no	—
784	C₂	—	292	1	no	—
785	C₂	—	73	2	no	—
786	C₂	—	73	2	no	—
787	C₂	—	146	2	no	—
788	C₂	#22626370	1	1	yes	characteristic
789	C₂	C₂×M₁₆×#64408	1	1	yes	characteristic
790	C₂	#131×#64408	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×#64408
commutator, socle	C₂²×C₇₃	C₂²×C₄²
Fitting	#435×C₇₃	C₄
prime radical	C₂×D₄×D₇₃	C₂×C₄
cosocle	C₂×C₄×D₇₃	C₂⁴
hypercenter	#435	#64408
hypocenter	C₇₃	#20559
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ #435

Complements

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

N	H ≅ G/N	type
3. #22625732	C₂	semidirect
4. #22625729	C₂	semidirect
5. C₄⋊C₈×#64408	C₂	semidirect
6. #22625674	C₂	semidirect
7. #22625671	C₂	semidirect
8. #22625666	C₂	semidirect
9. C₈×C₂²⋊#64408	C₂	semidirect
10. #22625659	C₂	semidirect
11. C₂²⋊C₈×#64408	C₂	semidirect
12. #22625647	C₂	semidirect
13. #22625593	C₂	semidirect
14. C₂×#17989452	C₂	semidirect
21. #17989619	C₄	semidirect
22. #17989618	C₄	semidirect
23. #17989617	C₄	semidirect
24. #17989616	C₄	semidirect
55. #17988661	C₄	semidirect
56. #17988660	C₄	semidirect
57. #17988659	C₄	semidirect
58. #17988658	C₄	semidirect
59. #17988657	C₄	semidirect
60. #17988656	C₄	semidirect
61. #17988655	C₄	semidirect
66. #435×C₇₃	C₄	semidirect
69. C₂×#11924038	C₂×C₄	semidirect
72. C₂×#11924037	C₂×C₄	semidirect
75. C₂×#11924036	C₂×C₄	semidirect
80. C₂²×#10596833	C₂×C₄	semidirect
97. #14556658	C₂×C₄	semidirect
98. C₄⋊#10596833	C₂×C₄	semidirect
99. #14556648	C₂×C₄	semidirect
100. #14556648	C₂×C₄	semidirect
101. C₂²⋊#10596833	C₂×C₄	semidirect
102. C₂²⋊#10596833	C₂×C₄	semidirect
103. #14556646	C₂×C₄	semidirect
104. #14556646	C₂×C₄	semidirect
117. C₂×#11924012	C₂×C₄	semidirect
118. C₂×#11924011	C₂×C₄	semidirect
119. C₂×#11924011	C₂×C₄	semidirect
122. C₂²×#10596831	C₂×C₄	semidirect
125. C₂×C₈×D₇₃	C₂×C₄	semidirect
126. C₂×C₈×D₇₃	C₂×C₄	semidirect
142. C₄⋊#10596831	C₂×C₄	semidirect
143. #14556520	C₂×C₄	semidirect
144. #14556520	C₂×C₄	semidirect
145. C₂²⋊#10596831	C₂×C₄	semidirect
146. C₂²⋊#10596831	C₂×C₄	semidirect
147. #14556503	C₂×C₄	semidirect
148. #14556503	C₂×C₄	semidirect
149. #14556503	C₂×C₄	semidirect
150. #14556503	C₂×C₄	semidirect
151. #14556502	C₂×C₄	semidirect
152. #14556501	C₂×C₄	semidirect
153. #14556501	C₂×C₄	semidirect
154. C₂×M₁₆×C₇₃	C₂×C₄	semidirect
155. C₂²×C₈×C₇₃	C₂×C₄	semidirect
157. C₄⋊C₈×C₇₃	C₂×C₄	semidirect
158. C₂²⋊C₈×C₇₃	C₂×C₄	semidirect
159. C₂²⋊C₈×C₇₃	C₂×C₄	semidirect
160. #97×C₇₃	C₂×C₄	semidirect
189. C₂²⋊#64408	M₁₆	semidirect
411. C₇₃	#20559	semidirect
431. #435	#64408	semidirect
477. C₂×M₁₆	C₂×#64408	semidirect
495. C₂²×C₈	C₂×#64408	semidirect
529. C₄⋊C₈	C₂×#64408	semidirect
540. C₂²⋊C₈	C₂×#64408	semidirect
541. C₂²⋊C₈	C₂×#64408	semidirect
549. #97	C₂×#64408	semidirect

Maximal subgroups

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

subgroup	index
D₇₃⋊#435	2
C₄×D₄×#64408	2
#22625732	2
#22625729	2
C₄⋊C₈×#64408	2
#22625674	2
#22625671	2
#22625666	2
C₈×C₂²⋊#64408	2
#22625659	2
C₂²⋊C₈×#64408	2
#22625647	2
#22625593	2
C₂×#17989452	2
#435×D₇₃	2
#20559	73