Subgroups — #34020449

Order 18688.

1158 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	D₄×#11924036	C₂	1	1	yes	maximal, characteristic
2	C₂×#17989553	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#14556645	C₂	1	1	yes	maximal, characteristic, complemented
4	#22626385	C₂	1	1	yes	maximal, characteristic
5	#22625729	C₂	1	1	yes	maximal, characteristic, complemented
6	#22625728	C₂	1	1	yes	maximal, characteristic, complemented
7	#22625720	C₂	1	1	yes	maximal, characteristic, complemented
8	#22625671	C₂	1	1	yes	maximal, characteristic, complemented
9	#22625670	C₂	1	1	yes	maximal, characteristic, complemented
10	#22625670	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈×C₂²⋊#64408	C₂	1	1	yes	maximal, characteristic, complemented
12	#22625662	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²⋊C₈×#64408	C₂	1	1	yes	maximal, characteristic, complemented
14	#22625589	C₂	1	1	yes	maximal, characteristic, complemented
15	#435×D₇₃	C₂	1	1	yes	maximal, characteristic
16	C₂²×#11924036	C₂²	1	1	yes	characteristic
17	C₂²×#11924036	C₂²	1	1	yes	characteristic
18	C₂×#14556670	C₂²	1	1	yes	characteristic
19	C₂²×C₄×#64408	C₂²	1	1	yes	characteristic
20	#17989615	C₄	1	2	yes	complemented
21	#17989614	C₄	1	2	yes	complemented
22	#17989614	C₄	1	2	yes	complemented
23	D₄×#10596833	C₄	1	2	yes	complemented
24	#17989588	C₂²	1	1	yes	characteristic
25	#17989555	C₂²	1	1	yes	characteristic
26	#17989555	C₂²	1	1	yes	characteristic
27	#17989553	—	2	4	no	—
28	C₂×#14556645	—	2	4	no	—
29	C₂×#14556645	C₂²	1	1	yes	characteristic
30	C₂×#14556645	C₂²	1	1	yes	characteristic
31	C₂×#14556645	C₂²	1	1	yes	characteristic
32	C₂×#14556645	C₂²	1	1	yes	characteristic
33	C₂×#14556645	C₂²	1	1	yes	characteristic
34	C₂×#14556645	C₂²	1	1	yes	characteristic
35	C₄×#11924036	C₂²	1	1	yes	characteristic
36	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
37	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
38	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
39	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
40	#17989537	C₄	1	2	yes	—
41	#17989536	C₄	1	2	yes	—
42	#17989535	C₄	1	2	yes	—
43	#17989534	C₄	1	2	yes	—
44	C₄×C₄⋊#64408	C₂²	1	1	yes	characteristic
45	C₄×C₂²⋊#64408	C₂²	1	1	yes	characteristic
46	C₄×C₂²⋊#64408	C₂²	1	1	yes	characteristic
47	#17989523	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	#17989452	C₂²	1	1	yes	characteristic
53	#17989452	C₂²	1	1	yes	characteristic
54	C₂×M₁₆×D₇₃	C₂²	1	1	yes	characteristic
55	C₂²×C₈×D₇₃	C₂²	1	1	yes	characteristic
56	C₄×D₄×D₇₃	C₂²	1	1	yes	characteristic
57	#17988661	C₄	1	1	yes	characteristic, complemented
58	#17988660	C₄	1	1	yes	characteristic, complemented
59	#17988659	C₄	1	1	yes	characteristic, complemented
60	#17988658	C₄	1	1	yes	characteristic, complemented
61	#17988657	C₄	1	1	yes	characteristic, complemented
62	#17988656	C₄	1	1	yes	characteristic, complemented
63	#17988655	C₄	1	1	yes	characteristic, complemented
64	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
65	C₂²⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
66	C₂²⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
67	#97×D₇₃	C₂²	1	1	yes	characteristic
68	#435×C₇₃	C₄	1	1	yes	characteristic, complemented
69	C₂³×#64408	C₂×C₄	1	2	yes	—
70	C₂×#11924036	—	2	2	no	—
71	C₂×#11924036	—	2	2	no	—
72	C₂×#11924036	—	2	2	no	—
73	C₂×#11924036	—	2	2	no	—
74	C₂×#11924036	C₂×C₄	1	2	yes	—
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	—
81	C₂²×#10596833	C₂×C₄	1	2	yes	complemented
82	#14556670	—	2	2	no	—
83	#14556670	—	2	2	no	—
84	C₂×C₄⋊#64408	C₂×C₄	1	2	yes	—
85	C₂×C₄⋊#64408	C₂×C₄	1	2	yes	—
86	C₂×C₂²⋊#64408	C₂×C₄	1	2	yes	—
87	C₂×C₂²⋊#64408	C₂×C₄	1	2	yes	—
88	C₂×C₂²⋊#64408	C₂×C₄	1	2	yes	—
89	C₂×C₄×#64408	—	2	2	no	—
90	C₂×C₄×#64408	—	2	2	no	—
91	C₂×C₄×#64408	C₂×C₄	1	2	yes	—
92	C₂×C₄×#64408	C₂³	1	1	yes	characteristic
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	#14556658	C₂×C₄	1	2	yes	complemented
97	C₄⋊#10596833	C₂×C₄	1	2	yes	complemented
98	#14556648	C₂×C₄	1	2	yes	—
99	#14556648	C₂×C₄	1	2	yes	complemented
100	C₂²⋊#10596833	C₂×C₄	1	2	yes	—
101	C₂²⋊#10596833	C₂×C₄	1	2	yes	complemented
102	#14556645	—	2	2	no	—
103	#14556645	—	2	2	no	—
104	#14556645	—	2	2	no	—
105	#14556645	—	2	2	no	—
106	#14556645	—	2	2	no	—
107	#14556645	D₄	1	4	yes	complemented
108	C₄×#10596833	C₂×C₄	1	2	yes	complemented
109	C₄×#10596833	C₂×C₄	1	2	yes	complemented
110	C₈×#64408	—	2	2	no	—
111	C₈×#64408	—	2	2	no	—
112	C₈×#64408	—	2	2	no	—
113	C₈×#64408	—	2	2	no	—
114	(C₂×#64408)⋊C₄	C₂×C₄	1	2	yes	—
115	(C₂×#64408)⋊C₄	C₂×C₄	1	2	yes	—
116	(C₂×#64408)⋊C₄	C₂×C₄	1	2	yes	—
117	(C₂×#64408)⋊C₄	C₂×C₄	1	2	yes	—
118	(C₂×#64408)⋊C₄	C₂×C₄	1	2	yes	—
119	C₂×D₄×D₇₃	C₂×C₄	1	1	yes	characteristic
120	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
121	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
122	C₂×#11924012	C₂×C₄	1	1	yes	characteristic, complemented
123	C₂×#11924011	C₂×C₄	1	1	yes	characteristic, complemented
124	C₂×#11924011	C₂×C₄	1	1	yes	characteristic, complemented
125	M₁₆×D₇₃	—	2	2	no	—
126	M₁₆×D₇₃	—	2	2	no	—
127	C₂²×#10596831	C₂×C₄	1	1	yes	characteristic
128	C₂×C₈×D₇₃	—	2	2	no	—
129	C₂×C₈×D₇₃	—	2	2	no	—
130	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic
131	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic
132	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
133	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
134	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
135	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
136	C₄×D₂₉₂	C₂×C₄	1	1	yes	characteristic
137	D₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic
138	#14556553	C₂×C₄	1	1	yes	characteristic
139	C₄×C₂²⋊D₇₃	C₂×C₄	1	1	yes	characteristic
140	C₄×C₂²⋊D₇₃	C₂×C₄	1	1	yes	characteristic
141	#14556551	C₂×C₄	1	1	yes	characteristic
142	#14556551	C₂×C₄	1	1	yes	characteristic
143	C₄⋊C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
144	C₂²⋊C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
145	C₂²⋊C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
146	C₄²×D₇₃	C₂³	1	1	yes	characteristic
147	C₄⋊#10596831	C₂×C₄	1	1	yes	characteristic, complemented
148	#14556520	C₂×C₄	1	1	yes	characteristic, complemented
149	#14556520	C₂×C₄	1	1	yes	characteristic, complemented
150	C₂²⋊#10596831	C₂×C₄	1	1	yes	characteristic
151	C₂²⋊#10596831	C₂×C₄	1	1	yes	characteristic, complemented
152	#14556503	C₂×C₄	1	1	yes	characteristic
153	#14556503	C₂×C₄	1	1	yes	characteristic
154	#14556503	C₂×C₄	1	1	yes	characteristic, complemented
155	#14556503	C₂×C₄	1	1	yes	characteristic, complemented
156	#14556502	C₂×C₄	1	1	yes	characteristic, complemented
157	#14556501	C₂×C₄	1	1	yes	characteristic, complemented
158	#14556501	C₂×C₄	1	1	yes	characteristic, complemented
159	C₂×M₁₆×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
160	C₂²×C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
161	C₄×D₄×C₇₃	C₂×C₄	1	1	yes	characteristic
162	C₄⋊C₈×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
163	C₂²⋊C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
164	C₂²⋊C₈×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
165	#97×C₇₃	C₂×C₄	1	1	yes	characteristic, complemented
166	C₂²×#64408	—	2	4	no	—
167	C₂²×#64408	—	2	4	no	—
168	C₂²×#64408	—	4	2	no	—
169	C₂²×#64408	C₂²×C₄	1	2	yes	—
170	C₂²×#64408	C₂²×C₄	1	2	yes	—
171	C₂²×#64408	C₂²×C₄	1	2	yes	—
172	C₂²×#64408	C₂²×C₄	1	2	yes	—
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	4	no	—
180	#11924036	—	2	4	no	—
181	#11924036	C₂×D₄	1	2	yes	—
182	#11924036	#41	1	2	yes	—
183	C₂×#10596833	—	2	4	no	—
184	C₂×#10596833	—	2	4	no	—
185	C₂×#10596833	C₂²×C₄	1	2	yes	—
186	C₂×#10596833	C₂²×C₄	1	2	yes	—
187	C₂×#10596833	C₂²×C₄	1	2	yes	—
188	C₂×#10596833	C₂²×C₄	1	2	yes	—
189	C₄⋊#64408	—	2	4	no	—
190	C₄⋊#64408	—	4	2	no	—
191	C₂²⋊#64408	—	2	4	no	—
192	C₂²⋊#64408	—	2	4	no	—
193	C₂²⋊#64408	—	4	2	no	—
194	C₄×#64408	—	2	4	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	—	2	1	no	—
201	C₄×#64408	C₂×D₄	1	2	yes	—
202	C₄×#64408	#41	1	2	yes	—
203	C₂³×D₇₃	C₂²×C₄	1	1	yes	characteristic
204	C₂³×D₇₃	C₂²×C₄	1	1	yes	characteristic
205	C₂×D₂₉₂	C₄²	1	1	yes	characteristic
206	C₂×C₂²⋊D₇₃	C₄²	1	1	yes	characteristic
207	C₂×C₂²⋊D₇₃	C₄²	1	1	yes	characteristic
208	D₄×D₇₃	—	2	4	no	—
209	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
210	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
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	—	2	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
227	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
228	#11924012	—	2	2	no	—
229	#11924011	—	2	2	no	—
230	#11924011	—	2	2	no	—
231	C₂×#10596831	—	2	2	no	—
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	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
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	2	no	—
243	C₈×D₇₃	—	2	2	no	—
244	C₈×D₇₃	C₂×D₄	1	2	yes	—
245	C₈×D₇₃	#41	1	2	yes	—
246	C₄⋊Dic₇₃	C₄²	1	1	yes	characteristic
247	#11924007	C₄²	1	1	yes	characteristic
248	#11924007	C₄²	1	1	yes	characteristic
249	C₂²⋊Dic₇₃	C₄²	1	1	yes	characteristic
250	C₂²⋊Dic₇₃	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	#11924005	C₄²	1	1	yes	characteristic
255	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
256	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
257	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
258	C₂×D₄×C₇₃	C₄²	1	1	yes	characteristic
259	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
260	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
261	M₁₆×C₇₃	—	2	2	no	—
262	C₂×C₈×C₇₃	—	2	2	no	—
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	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
267	C₄⋊C₄×C₇₃	C₄²	1	1	yes	characteristic
268	C₂²⋊C₄×C₇₃	C₄²	1	1	yes	characteristic
269	C₂²⋊C₄×C₇₃	C₄²	1	1	yes	characteristic
270	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
271	C₂³×C₇₃	C₂×C₄²	1	1	yes	characteristic
272	C₂³×C₇₃	C₂×C₄²	1	1	yes	characteristic
273	C₂²×D₇₃	—	2	1	no	—
274	C₂²×D₇₃	—	2	1	no	—
275	C₂²×D₇₃	—	2	2	no	—
276	C₂²×D₇₃	—	2	1	no	—
277	C₂²×D₇₃	—	2	1	no	—
278	C₂²×D₇₃	—	2	2	no	—
279	C₂²×D₇₃	—	2	2	no	—
280	C₂²×D₇₃	C₂×C₄²	1	1	yes	characteristic
281	C₂²×D₇₃	C₂×C₄²	1	1	yes	characteristic
282	C₂²×D₇₃	#131	1	4	yes	—
283	C₂²×D₇₃	C₂³×C₄	1	1	yes	characteristic
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	—	2	2	no	—
293	C₂×#64408	—	2	2	no	—
294	C₂×#64408	—	2	2	no	—
295	C₂×#64408	—	4	8	no	—
296	C₂×#64408	C₄×D₄	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	C₂²×D₄	1	1	yes	characteristic
334	C₄×D₇₃	C₂×#41	1	1	yes	characteristic
335	C₄×D₇₃	C₂×#41	1	1	yes	characteristic
336	C₄×D₇₃	C₂×#41	1	1	yes	characteristic
337	#10596833	—	2	2	no	—
338	#10596833	—	2	2	no	—
339	#10596833	—	2	2	no	—
340	#10596833	C₄×D₄	1	4	yes	—
341	C₈×C₇₃	—	2	1	no	—
342	C₈×C₇₃	—	2	1	no	—
343	C₈×C₇₃	—	2	1	no	—
344	C₈×C₇₃	C₄×D₄	1	2	yes	—
345	#10596831	—	2	1	no	—
346	#10596831	—	2	1	no	—
347	#10596831	—	2	1	no	—
348	#10596831	C₄×D₄	1	2	yes	—
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	#405	1	2	yes	complemented
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	#405	1	2	yes	complemented
366	C₂×D₇₃	C₂×C₄×D₄	1	1	yes	characteristic
367	C₂×D₇₃	C₄×#41	1	1	yes	characteristic
368	C₂×D₇₃	C₂×#131	1	2	yes	—
369	C₂×D₇₃	#568	1	2	yes	—
370	#64408	—	2	4	no	—
371	#64408	—	4	2	no	—
372	#64408	—	4	2	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	C₂×C₄×D₄	1	1	yes	characteristic
379	C₄×C₇₃	C₄×#41	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	C₂×C₄×D₄	1	1	yes	characteristic
385	Dic₇₃	C₄×#41	1	1	yes	characteristic
386	#20493	—	73	1	no	maximal, Sylow
387	C₂×C₇₃	—	2	2	no	—
388	C₂×C₇₃	—	4	1	no	—
389	C₂×C₇₃	C₄²×D₄	1	1	yes	characteristic
390	C₂×C₇₃	C₂×#405	1	1	yes	characteristic
391	C₂×C₇₃	#2875	1	1	yes	characteristic
392	D₇₃	—	2	2	no	—
393	D₇₃	—	4	1	no	—
394	D₇₃	#2933	1	2	yes	—
395	D₇₃	#2968	1	2	yes	—
396	C₂×#435	—	73	1	no	—
397	C₂×C₈×D₄	—	73	1	no	—
398	C₂×#405	—	73	1	no	—
399	C₂²×#97	—	73	1	no	—
400	#2290	—	73	1	no	—
401	#1771	—	73	1	no	—
402	#1770	—	73	1	no	—
403	#1768	—	73	1	no	—
404	#1753	—	73	1	no	—
405	#1752	—	73	1	no	—
406	#1752	—	73	1	no	—
407	C₈×C₂²⋊C₄	—	73	1	no	—
408	#1750	—	73	1	no	—
409	C₄×C₂²⋊C₈	—	73	1	no	—
410	#1726	—	73	1	no	—
411	C₇₃	#20493	1	1	yes	characteristic, complemented, Sylow
412	C₂²×M₁₆	—	73	1	no	—
413	C₂³×C₈	—	73	1	no	—
414	C₂³×C₈	—	73	1	no	—
415	C₂³×C₈	—	73	1	no	—
416	C₂×C₄×D₄	—	73	1	no	—
417	C₂×#117	—	73	1	no	—
418	C₂²×C₄²	—	73	1	no	—
419	#435	—	73	1	no	—
420	#435	—	73	1	no	—
421	#435	—	73	1	no	—
422	#435	—	73	1	no	—
423	#435	—	73	1	no	—
424	#435	—	73	1	no	—
425	#435	—	73	1	no	—
426	#435	#64408	1	1	yes	characteristic, complemented
427	C₈×D₄	—	73	2	no	—
428	C₈×D₄	—	73	2	no	—
429	C₈×D₄	—	73	2	no	—
430	C₈×D₄	—	73	2	no	—
431	C₂×C₄⋊C₈	—	73	1	no	—
432	C₂×C₄⋊C₈	—	73	1	no	—
433	C₂×C₂²⋊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	#405	—	146	4	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×#97	—	73	1	no	—
443	C₂×#97	—	73	1	no	—
444	C₂×#97	—	73	1	no	—
445	C₂×#97	—	146	4	no	—
446	C₂×C₄×C₈	—	73	1	no	—
447	C₂×C₄×C₈	—	73	1	no	—
448	C₂×C₄×C₈	—	73	1	no	—
449	C₂×C₄×C₈	—	73	1	no	—
450	C₂×C₄×C₈	—	73	1	no	—
451	#388	—	73	2	no	—
452	#387	—	73	2	no	—
453	#386	—	73	2	no	—
454	#385	—	73	2	no	—
455	C₄×C₄⋊C₄	—	73	1	no	—
456	C₄×C₂²⋊C₄	—	73	1	no	—
457	C₄×C₂²⋊C₄	—	73	1	no	—
458	#376	—	73	1	no	—
459	#336	—	73	1	no	—
460	#336	—	73	1	no	—
461	#336	—	73	1	no	—
462	#336	—	73	1	no	—
463	#336	—	73	1	no	—
464	#336	—	73	1	no	—
465	C₂²×D₄	—	73	1	no	—
466	C₂³×C₄	—	73	2	no	—
467	C₂³×C₄	—	73	1	no	—
468	C₂³×C₄	—	73	1	no	—
469	C₂×M₁₆	—	73	1	no	—
470	C₂×M₁₆	—	73	1	no	—
471	C₂×M₁₆	—	73	1	no	—
472	C₂×M₁₆	—	146	2	no	—
473	C₂×M₁₆	—	146	2	no	—
474	C₂×M₁₆	C₂×#64408	1	1	yes	characteristic, complemented
475	C₂²×C₈	—	73	1	no	—
476	C₂²×C₈	—	73	1	no	—
477	C₂²×C₈	—	73	2	no	—
478	C₂²×C₈	—	73	2	no	—
479	C₂²×C₈	—	73	2	no	—
480	C₂²×C₈	—	73	2	no	—
481	C₂²×C₈	—	73	1	no	—
482	C₂²×C₈	—	73	1	no	—
483	C₂²×C₈	—	73	1	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	—	146	2	no	—
491	C₂²×C₈	—	146	2	no	—
492	C₂²×C₈	—	146	2	no	—
493	C₂²×C₈	—	146	2	no	—
494	C₂²×C₈	—	146	2	no	—
495	C₂²×C₈	—	146	2	no	—
496	C₂²×C₈	C₂×#64408	1	1	yes	characteristic
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	—	73	1	no	—
504	C₄×D₄	C₂×#64408	1	1	yes	characteristic
505	#117	—	146	2	no	—
506	#117	—	146	2	no	—
507	C₂×C₄⋊C₄	—	73	2	no	—
508	C₂×C₄⋊C₄	—	73	1	no	—
509	C₂×C₄⋊C₄	—	73	2	no	—
510	C₂×C₂²⋊C₄	—	73	2	no	—
511	C₂×C₂²⋊C₄	—	73	1	no	—
512	C₂×C₂²⋊C₄	—	73	1	no	—
513	C₂×C₂²⋊C₄	—	73	2	no	—
514	C₂×C₂²⋊C₄	—	73	2	no	—
515	C₂×C₄²	—	73	1	no	—
516	C₂×C₄²	—	73	1	no	—
517	C₂×C₄²	—	73	1	no	—
518	C₂×C₄²	—	73	1	no	—
519	C₂×C₄²	—	73	1	no	—
520	C₂×C₄²	—	73	2	no	—
521	C₂×C₄²	—	146	2	no	—
522	C₂×C₄²	—	146	2	no	—
523	C₄⋊C₈	—	73	2	no	—
524	C₄⋊C₈	—	73	2	no	—
525	C₄⋊C₈	—	73	1	no	—
526	C₄⋊C₈	—	73	1	no	—
527	C₄⋊C₈	—	73	1	no	—
528	C₄⋊C₈	C₂×#64408	1	1	yes	characteristic, complemented
529	C₂²⋊C₈	—	73	2	no	—
530	C₂²⋊C₈	—	73	2	no	—
531	C₂²⋊C₈	—	73	2	no	—
532	C₂²⋊C₈	—	73	2	no	—
533	C₂²⋊C₈	—	73	1	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	C₂×#64408	1	1	yes	characteristic
540	C₂²⋊C₈	C₂×#64408	1	1	yes	characteristic, complemented
541	#97	—	73	4	no	—
542	#97	—	73	1	no	—
543	#97	—	73	1	no	—
544	#97	—	73	1	no	—
545	#97	—	146	2	no	—
546	#97	—	146	2	no	—
547	#97	—	146	2	no	—
548	#97	—	146	2	no	—
549	#97	—	146	2	no	—
550	#97	C₂×#64408	1	1	yes	characteristic, complemented
551	C₄×C₈	—	73	2	no	—
552	C₄×C₈	—	73	2	no	—
553	C₄×C₈	—	146	2	no	—
554	C₄×C₈	—	146	2	no	—
555	C₄×C₈	—	146	2	no	—
556	C₄×C₈	—	146	2	no	—
557	#95	—	73	2	no	—
558	#95	—	73	2	no	—
559	#95	—	73	2	no	—
560	#95	—	73	2	no	—
561	#95	—	73	2	no	—
562	C₂⁴	—	73	1	no	—
563	C₂⁴	—	73	1	no	—
564	C₂×D₄	—	73	1	no	—
565	C₂×D₄	—	73	1	no	—
566	C₂×D₄	—	73	1	no	—
567	C₂×D₄	—	146	4	no	—
568	C₂×D₄	C₄×#64408	1	1	yes	characteristic
569	C₂²×C₄	—	292	2	no	—
570	C₂²×C₄	—	73	1	no	—
571	C₂²×C₄	—	73	2	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	1	no	—
581	C₂²×C₄	—	73	1	no	—
582	C₂²×C₄	—	73	2	no	—
583	C₂²×C₄	—	73	2	no	—
584	C₂²×C₄	—	73	2	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	1	no	—
590	C₂²×C₄	—	146	1	no	—
591	C₂²×C₄	—	146	1	no	—
592	C₂²×C₄	—	146	1	no	—
593	C₂²×C₄	—	146	4	no	—
594	C₂²×C₄	—	146	4	no	—
595	C₂²×C₄	C₂²×#64408	1	1	yes	characteristic
596	C₂²×C₄	C₂²×#64408	1	1	yes	characteristic
597	M₁₆	—	2	2	no	—
598	M₁₆	—	146	2	no	—
599	M₁₆	—	146	2	no	—
600	M₁₆	—	146	2	no	—
601	C₂×C₈	—	2	2	no	—
602	C₂×C₈	—	73	2	no	—
603	C₂×C₈	—	73	2	no	—
604	C₂×C₈	—	73	2	no	—
605	C₂×C₈	—	73	1	no	—
606	C₂×C₈	—	73	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	—	146	2	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	2	no	—
622	C₂×C₈	—	146	4	no	—
623	C₂×C₈	—	146	4	no	—
624	C₂×C₈	—	146	4	no	—
625	C₂×C₈	—	146	4	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	—	146	1	no	—
632	C₂×C₈	—	146	2	no	—
633	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
634	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
635	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
636	C₂×C₈	C₂²×#64408	1	1	yes	characteristic
637	C₄⋊C₄	—	292	2	no	—
638	C₄⋊C₄	—	73	1	no	—
639	C₄⋊C₄	—	73	1	no	—
640	C₄⋊C₄	—	73	1	no	—
641	C₄⋊C₄	—	146	4	no	—
642	C₄⋊C₄	C₄×#64408	1	1	yes	characteristic
643	C₂²⋊C₄	—	292	2	no	—
644	C₂²⋊C₄	—	73	1	no	—
645	C₂²⋊C₄	—	73	1	no	—
646	C₂²⋊C₄	—	73	1	no	—
647	C₂²⋊C₄	—	73	1	no	—
648	C₂²⋊C₄	—	73	1	no	—
649	C₂²⋊C₄	—	73	1	no	—
650	C₂²⋊C₄	—	146	4	no	—
651	C₂²⋊C₄	—	146	4	no	—
652	C₂²⋊C₄	C₄×#64408	1	1	yes	characteristic
653	C₂²⋊C₄	C₄×#64408	1	1	yes	characteristic
654	C₄²	—	73	2	no	—
655	C₄²	—	73	2	no	—
656	C₄²	—	73	1	no	—
657	C₄²	—	73	1	no	—
658	C₄²	—	73	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	1	no	—
664	C₄²	—	146	4	no	—
665	C₄²	—	146	1	no	—
666	C₄²	C₂²×#64408	1	1	yes	characteristic
667	C₂³	—	73	1	no	—
668	C₂³	—	73	1	no	—
669	C₂³	—	73	4	no	—
670	C₂³	—	73	1	no	—
671	C₂³	—	146	2	no	—
672	C₂³	—	146	1	no	—
673	C₂³	—	146	1	no	—
674	C₂³	—	146	2	no	—
675	C₂³	—	146	2	no	—
676	C₂³	—	146	1	no	—
677	C₂³	—	146	1	no	—
678	C₂³	C₂×C₄×#64408	1	1	yes	characteristic
679	C₂³	C₂×C₄×#64408	1	1	yes	characteristic
680	D₄	—	2	2	no	—
681	D₄	—	146	2	no	—
682	D₄	—	146	2	no	—
683	D₄	—	146	2	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	2	1	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	1	no	—
696	C₂×C₄	—	73	1	no	—
697	C₂×C₄	—	73	1	no	—
698	C₂×C₄	—	73	1	no	—
699	C₂×C₄	—	146	1	no	—
700	C₂×C₄	—	146	1	no	—
701	C₂×C₄	—	146	1	no	—
702	C₂×C₄	—	146	1	no	—
703	C₂×C₄	—	146	1	no	—
704	C₂×C₄	—	146	2	no	—
705	C₂×C₄	—	146	1	no	—
706	C₂×C₄	—	146	1	no	—
707	C₂×C₄	—	146	1	no	—
708	C₂×C₄	—	146	2	no	—
709	C₂×C₄	—	146	2	no	—
710	C₂×C₄	—	146	2	no	—
711	C₂×C₄	—	146	2	no	—
712	C₂×C₄	—	146	2	no	—
713	C₂×C₄	—	146	2	no	—
714	C₂×C₄	—	146	2	no	—
715	C₂×C₄	—	146	2	no	—
716	C₂×C₄	—	146	2	no	—
717	C₂×C₄	—	146	2	no	—
718	C₂×C₄	—	146	1	no	—
719	C₂×C₄	—	146	1	no	—
720	C₂×C₄	—	146	1	no	—
721	C₂×C₄	—	146	1	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	—	73	4	no	—
737	C₈	—	73	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	D₄×#64408	1	2	yes	—
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	#17989553	1	2	yes	complemented
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	—	292	2	no	—
772	C₄	—	292	2	no	—
773	C₄	—	73	1	no	—
774	C₄	—	73	1	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	C₂×D₄×#64408	1	1	yes	characteristic
781	C₄	#41×#64408	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	C₄×D₄×#64408	1	1	yes	characteristic
789	C₂	C₂×#17989553	1	1	yes	characteristic
790	C₂	#22626501	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	#20493
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
2. C₂×#17989553	C₂	semidirect
3. C₂²×#14556645	C₂	semidirect
5. #22625729	C₂	semidirect
6. #22625728	C₂	semidirect
7. #22625720	C₂	semidirect
8. #22625671	C₂	semidirect
9. #22625670	C₂	semidirect
10. #22625670	C₂	semidirect
11. C₈×C₂²⋊#64408	C₂	semidirect
12. #22625662	C₂	semidirect
13. C₂²⋊C₈×#64408	C₂	semidirect
14. #22625589	C₂	semidirect
20. #17989615	C₄	semidirect
21. #17989614	C₄	semidirect
22. #17989614	C₄	semidirect
23. D₄×#10596833	C₄	semidirect
57. #17988661	C₄	semidirect
58. #17988660	C₄	semidirect
59. #17988659	C₄	semidirect
60. #17988658	C₄	semidirect
61. #17988657	C₄	semidirect
62. #17988656	C₄	semidirect
63. #17988655	C₄	semidirect
68. #435×C₇₃	C₄	semidirect
75. C₂×#11924036	C₂×C₄	semidirect
81. C₂²×#10596833	C₂×C₄	semidirect
96. #14556658	C₂×C₄	semidirect
97. C₄⋊#10596833	C₂×C₄	semidirect
99. #14556648	C₂×C₄	semidirect
101. C₂²⋊#10596833	C₂×C₄	semidirect
107. #14556645	D₄	semidirect
108. C₄×#10596833	C₂×C₄	semidirect
109. C₄×#10596833	C₂×C₄	semidirect
122. C₂×#11924012	C₂×C₄	semidirect
123. C₂×#11924011	C₂×C₄	semidirect
124. C₂×#11924011	C₂×C₄	semidirect
147. C₄⋊#10596831	C₂×C₄	semidirect
148. #14556520	C₂×C₄	semidirect
149. #14556520	C₂×C₄	semidirect
151. C₂²⋊#10596831	C₂×C₄	semidirect
154. #14556503	C₂×C₄	semidirect
155. #14556503	C₂×C₄	semidirect
156. #14556502	C₂×C₄	semidirect
157. #14556501	C₂×C₄	semidirect
158. #14556501	C₂×C₄	semidirect
159. C₂×M₁₆×C₇₃	C₂×C₄	semidirect
162. C₄⋊C₈×C₇₃	C₂×C₄	semidirect
164. C₂²⋊C₈×C₇₃	C₂×C₄	semidirect
165. #97×C₇₃	C₂×C₄	semidirect
354. C₂²×C₇₃	#405	semidirect
365. C₂×D₇₃	#405	semidirect
411. C₇₃	#20493	semidirect
426. #435	#64408	semidirect
474. C₂×M₁₆	C₂×#64408	semidirect
528. C₄⋊C₈	C₂×#64408	semidirect
540. C₂²⋊C₈	C₂×#64408	semidirect
550. #97	C₂×#64408	semidirect
764. C₂²	#17989553	semidirect

Maximal subgroups

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

subgroup	index
D₄×#11924036	2
C₂×#17989553	2
C₂²×#14556645	2
#22626385	2
#22625729	2
#22625728	2
#22625720	2
#22625671	2
#22625670	2
C₈×C₂²⋊#64408	2
#22625662	2
C₂²⋊C₈×#64408	2
#22625589	2
#435×D₇₃	2
#20493	73