Subgroups — #25961244

Order 11008.

1970 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148159	C₂	1	1	yes	maximal, characteristic
2	#19143610	C₂	1	2	yes	maximal, complemented
3	#19143599	C₂	1	2	yes	maximal, complemented
4	#19143585	C₂	1	4	yes	maximal, complemented
5	#19143570	C₂	1	2	yes	maximal, complemented
6	#19143566	C₂	1	4	yes	maximal, complemented
7	C₈×#10621898	C₂	1	2	yes	maximal, complemented
8	#19143542	C₂	1	1	yes	maximal, characteristic, complemented
9	#19143529	C₂	1	1	yes	maximal, characteristic, complemented
10	M₁₆×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
11	#19143317	C₂	1	2	yes	maximal, complemented
12	#19143287	C₂	1	2	yes	maximal, complemented
13	C₂×C₈×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
14	#19143261	C₂	1	1	yes	maximal, characteristic, complemented
15	#19143250	C₂	1	2	yes	maximal, complemented
16	#405×D₄₃	C₂	1	2	yes	maximal, complemented
17	C₄×#131×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×M₁₆×D₄₃	C₂²	1	2	yes	—
19	C₂²×C₈×D₄₃	C₂²	1	2	yes	—
20	#14583622	C₄	1	1	yes	characteristic
21	#14583614	C₄	1	1	yes	characteristic
22	#14583609	C₄	1	1	yes	characteristic
23	#14583599	C₄	1	2	yes	—
24	#14583590	C₄	1	2	yes	—
25	#14583589	C₄	1	2	yes	—
26	#14583578	C₄	1	4	yes	—
27	#14583554	C₄	1	1	yes	characteristic
28	#14583545	C₄	1	2	yes	—
29	#14583456	C₂²	1	1	yes	characteristic
30	#14583433	C₂²	1	2	yes	—
31	#14583427	C₂²	1	4	yes	—
32	#14583406	C₂²	1	2	yes	—
33	C₄×#10621898	C₂²	1	2	yes	—
34	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
35	#117×D₄₃	C₂²	1	2	yes	—
36	#14583029	C₂²	1	2	yes	complemented
37	#14583029	C₂²	1	2	yes	complemented
38	#14583029	C₂²	1	2	yes	complemented
39	#14583027	C₂²	1	4	yes	complemented
40	C₈×Dic₈₆	C₂²	1	2	yes	complemented
41	C₈×Dic₈₆	C₂²	1	2	yes	complemented
42	C₈×Dic₈₆	C₂²	1	2	yes	complemented
43	#14582978	C₂²	1	2	yes	—
44	#14582975	C₂²	1	4	yes	complemented
45	#14582972	C₂²	1	4	yes	—
46	#14582970	C₂²	1	4	yes	complemented
47	#14582968	C₂²	1	4	yes	complemented
48	#14582968	C₂²	1	4	yes	complemented
49	#14582968	C₂²	1	4	yes	complemented
50	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
51	C₈×D₁₇₂	C₂²	1	2	yes	—
52	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
53	C₈×D₁₇₂	C₂²	1	2	yes	—
54	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
55	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
56	C₈×D₁₇₂	C₂²	1	2	yes	—
57	C₈×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
58	C₈×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
59	C₈×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
60	#14582961	C₂²	1	4	yes	complemented
61	#14582960	C₂²	1	4	yes	complemented
62	#14582958	C₂²	1	4	yes	complemented
63	#14582956	C₂²	1	2	yes	complemented
64	#14582954	C₂²	1	4	yes	complemented
65	#14582952	C₂²	1	2	yes	complemented
66	#14582950	C₂²	1	4	yes	complemented
67	#14582927	C₂²	1	2	yes	—
68	#14582925	C₂²	1	2	yes	—
69	#14582923	C₂²	1	1	yes	characteristic
70	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
71	#14582866	C₂²	1	2	yes	—
72	#14582862	C₂²	1	2	yes	—
73	C₂×(C₂×D₄₃)⋊C₈	C₂²	1	2	yes	—
74	#14582857	C₂²	1	2	yes	—
75	#14582856	C₂²	1	4	yes	complemented
76	#14582855	C₂²	1	2	yes	—
77	#14582854	C₂²	1	2	yes	—
78	#14582853	C₂²	1	4	yes	complemented
79	#97×D₄₃	C₂²	1	4	yes	complemented
80	C₄×C₈×D₄₃	C₂²	1	4	yes	complemented
81	C₂×#131×C₄₃	C₂²	1	1	yes	characteristic
82	C₂×#131×C₄₃	C₂²	1	1	yes	characteristic
83	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
84	C₄₃×#405	C₂²	1	1	yes	characteristic
85	C₄₃×#405	C₂²	1	1	yes	characteristic
86	C₄₃×#405	C₂²	1	2	yes	complemented
87	C₄₃×#405	C₂²	1	2	yes	complemented
88	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
89	C₄×M₁₆×C₄₃	C₂²	1	2	yes	complemented
90	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
91	C₂×C₄×C₈×C₄₃	C₂²	1	2	yes	complemented
92	C₂×#10621898	C₂×C₄	1	2	yes	—
93	C₂²×D₁₇₂	C₂×C₄	1	1	yes	characteristic
94	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
95	C₂×#10621877	C₂³	1	2	yes	—
96	C₂×#10621872	C₂³	1	4	yes	—
97	M₁₆×D₄₃	—	2	8	no	—
98	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
99	C₂×C₈×D₄₃	—	2	8	no	—
100	C₂×C₈×D₄₃	C₂³	1	2	yes	—
101	C₂×C₈×D₄₃	C₂³	1	4	yes	—
102	C₂×C₈×D₄₃	C₂³	1	2	yes	—
103	C₂×C₈×D₄₃	C₂³	1	2	yes	—
104	C₂×C₈×D₄₃	C₂³	1	2	yes	—
105	#13063325	C₂×C₄	1	1	yes	characteristic
106	#13063325	C₂×C₄	1	1	yes	characteristic
107	#13063320	C₂×C₄	1	4	yes	—
108	#13063319	C₂×C₄	1	4	yes	—
109	#13063318	C₂×C₄	1	4	yes	—
110	#13063317	C₂×C₄	1	2	yes	—
111	#13063317	C₂×C₄	1	2	yes	—
112	#13063315	C₂×C₄	1	4	yes	—
113	#13063313	C₂×C₄	1	2	yes	—
114	#13063311	C₂×C₄	1	4	yes	—
115	#13063310	C₂×C₄	1	4	yes	—
116	#13063308	C₂×C₄	1	4	yes	—
117	#13063307	C₂×C₄	1	4	yes	—
118	#13063306	C₂×C₄	1	4	yes	—
119	#13063304	C₂×C₄	1	2	yes	—
120	#13063304	C₂×C₄	1	2	yes	—
121	#13063304	C₂×C₄	1	2	yes	—
122	#13063303	C₂×C₄	1	4	yes	—
123	#13063301	C₂×C₄	1	2	yes	—
124	#13063301	C₂×C₄	1	2	yes	—
125	#13063299	C₂×C₄	1	2	yes	—
126	#13063298	C₂×C₄	1	4	yes	—
127	#13063296	C₂×C₄	1	2	yes	—
128	#13063296	C₂×C₄	1	2	yes	—
129	#13063293	C₂×C₄	1	4	yes	—
130	C₄×Dic₈₆	C₂×C₄	1	2	yes	—
131	C₄×Dic₈₆	C₂³	1	2	yes	—
132	C₄×Dic₈₆	C₂³	1	2	yes	—
133	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
134	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
135	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
136	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
137	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
138	C₄×D₁₇₂	C₂³	1	2	yes	—
139	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
140	C₄×C₂²⋊D₄₃	C₂×C₄	1	4	yes	—
141	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
142	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
143	#13063284	C₂×C₄	1	2	yes	—
144	#13063284	C₂³	1	2	yes	—
145	#13063283	C₂×C₄	1	2	yes	—
146	#13063283	C₂×C₄	1	2	yes	—
147	#13063282	C₂×C₄	1	4	yes	—
148	#13063282	C₂³	1	4	yes	—
149	#13063281	C₂×C₄	1	4	yes	—
150	C₂×C₄⋊Dic₄₃	C₂×C₄	1	1	yes	characteristic
151	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
152	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
153	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
154	C₂²⋊C₄×D₄₃	C₂×C₄	1	4	yes	—
155	C₄²×D₄₃	C₂³	1	4	yes	—
156	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
157	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
158	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
159	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
160	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
161	Dic₄₃⋊C₈	C₂³	1	4	yes	—
162	Dic₄₃⋊C₈	C₂³	1	4	yes	—
163	Dic₄₃⋊C₈	C₂³	1	4	yes	—
164	Dic₄₃⋊C₈	C₂³	1	4	yes	—
165	C₂²⋊(C₄₃⋊C₈)	C₂³	1	4	yes	—
166	C₂²⋊(C₄₃⋊C₈)	C₂³	1	4	yes	—
167	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
168	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
169	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
170	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
171	(C₂×D₄₃)⋊C₈	C₂³	1	4	yes	—
172	(C₂×D₄₃)⋊C₈	C₂³	1	4	yes	—
173	#13063236	C₂³	1	4	yes	—
174	#13063235	C₂³	1	4	yes	—
175	#13063235	C₂³	1	4	yes	—
176	C₄×C₄₃⋊C₈	C₂³	1	4	yes	—
177	C₈×Dic₄₃	C₂³	1	4	yes	—
178	C₈×Dic₄₃	C₂³	1	4	yes	—
179	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
180	#131×C₄₃	—	2	4	no	—
181	#131×C₄₃	—	2	4	no	—
182	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
183	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
184	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
185	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
186	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
187	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
188	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
189	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
190	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
191	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
192	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
193	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
194	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
195	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
196	#117×C₄₃	C₂³	1	1	yes	characteristic
197	#117×C₄₃	C₂³	1	2	yes	—
198	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
200	#97×C₄₃	C₂³	1	2	yes	—
201	#97×C₄₃	C₂³	1	2	yes	—
202	#97×C₄₃	C₂³	1	2	yes	—
203	C₄×C₈×C₄₃	C₂³	1	2	yes	—
204	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
205	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
206	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
207	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
208	C₄×C₈×C₄₃	C₂³	1	2	yes	—
209	C₄×C₈×C₄₃	C₂³	1	2	yes	—
210	C₂³×D₄₃	C₂²×C₄	1	2	yes	—
211	#41×C₄₃	—	2	2	no	—
212	#41×C₄₃	—	2	2	no	—
213	C₂×Q₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
214	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
215	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
216	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
217	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
218	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
219	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
220	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
221	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
222	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
223	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
224	C₂²×Dic₄₃	C₂²×C₄	1	2	yes	—
225	#10621898	—	2	8	no	—
226	C₂×D₁₇₂	—	2	4	no	—
227	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
228	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
229	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
230	C₂×C₄×D₄₃	—	2	4	no	—
231	C₂×C₄×D₄₃	—	2	4	no	—
232	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
233	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
234	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
235	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
236	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
237	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
238	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
239	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
240	M₁₆×C₄₃	—	2	2	no	—
241	M₁₆×C₄₃	—	2	4	no	—
242	M₁₆×C₄₃	—	2	4	no	—
243	M₁₆×C₄₃	#41	1	4	yes	complemented
244	C₂×C₈×C₄₃	—	2	2	no	—
245	C₂×C₈×C₄₃	—	2	4	no	—
246	C₂×C₈×C₄₃	—	2	4	no	—
247	C₂×C₈×C₄₃	#41	1	4	yes	complemented
248	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
249	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
250	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
251	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
252	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
253	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
254	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
255	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
256	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
257	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
258	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
259	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
260	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
261	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
262	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
263	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
264	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
265	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
266	C₄²×C₄₃	C₂⁴	1	2	yes	—
267	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
268	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
269	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
270	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
271	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
272	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
273	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
274	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
275	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
276	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
277	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
278	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
279	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
280	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
281	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
282	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
283	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
284	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
285	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
286	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
287	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
288	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
289	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
290	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
291	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
292	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
293	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
294	C₄×Dic₄₃	C₂⁴	1	4	yes	—
295	#10621877	—	2	4	no	—
296	C₂×C₄₃⋊C₈	—	2	4	no	—
297	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
298	C₂×C₄₃⋊C₈	C₂⁴	1	4	yes	—
299	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
300	#10621872	—	2	8	no	—
301	C₈×D₄₃	—	2	4	no	—
302	C₈×D₄₃	—	2	4	no	—
303	C₈×D₄₃	—	2	4	no	—
304	C₈×D₄₃	—	2	4	no	—
305	C₈×D₄₃	—	2	8	no	—
306	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
307	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
308	C₂²×D₄₃	—	2	4	no	—
309	C₂²×D₄₃	—	2	4	no	—
310	C₂²×D₄₃	—	4	2	no	—
311	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
312	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
313	Q₈×C₄₃	—	2	2	no	—
314	D₄×C₄₃	—	2	4	no	—
315	D₄×C₄₃	—	2	2	no	—
316	C₂×C₄×C₄₃	—	2	2	no	—
317	C₂×C₄×C₄₃	—	2	4	no	—
318	C₂×C₄×C₄₃	—	2	2	no	—
319	C₂×C₄×C₄₃	—	2	2	no	—
320	C₂×C₄×C₄₃	—	4	1	no	—
321	C₂×C₄×C₄₃	—	4	2	no	—
322	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
323	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
324	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
325	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
326	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
327	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
328	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
329	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
330	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
331	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
332	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
333	C₂²⋊D₄₃	—	2	8	no	—
334	C₂²⋊D₄₃	—	4	4	no	—
335	C₂×Dic₄₃	—	2	4	no	—
336	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
337	C₂×Dic₄₃	C₂³×C₄	1	4	yes	—
338	C₂×Dic₄₃	C₂³×C₄	1	4	yes	—
339	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
340	D₁₇₂	—	2	4	no	—
341	D₁₇₂	—	2	2	no	—
342	D₁₇₂	#131	1	4	yes	complemented
343	C₄×D₄₃	—	2	8	no	—
344	C₄×D₄₃	—	2	4	no	—
345	C₄×D₄₃	—	2	4	no	—
346	C₄×D₄₃	—	2	2	no	—
347	C₄×D₄₃	—	2	2	no	—
348	C₄×D₄₃	—	2	2	no	—
349	C₄×D₄₃	—	2	2	no	—
350	C₄×D₄₃	—	4	4	no	—
351	Dic₈₆	—	2	4	no	—
352	Dic₈₆	—	4	2	no	—
353	C₈×C₄₃	—	2	1	no	—
354	C₈×C₄₃	—	2	1	no	—
355	C₈×C₄₃	—	2	2	no	—
356	C₈×C₄₃	C₂×#41	1	2	yes	—
357	C₈×C₄₃	C₂×#41	1	2	yes	—
358	C₈×C₄₃	C₂×#41	1	4	yes	—
359	C₄₃⋊C₈	—	2	2	no	—
360	C₄₃⋊C₈	—	2	2	no	—
361	C₄₃⋊C₈	—	2	4	no	—
362	#60215	—	43	1	no	maximal, Sylow
363	C₂²×C₄₃	—	2	1	no	—
364	C₂²×C₄₃	—	2	1	no	—
365	C₂²×C₄₃	—	2	2	no	—
366	C₂²×C₄₃	—	2	2	no	—
367	C₂²×C₄₃	—	2	2	no	—
368	C₂²×C₄₃	C₄×#41	1	2	yes	—
369	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
370	C₂×D₄₃	—	2	2	no	—
371	C₂×D₄₃	—	2	2	no	—
372	C₂×D₄₃	—	2	2	no	—
373	C₂×D₄₃	—	2	2	no	—
374	C₂×D₄₃	—	2	2	no	—
375	C₂×D₄₃	—	4	8	no	—
376	C₂×D₄₃	C₂×#131	1	4	yes	—
377	C₄×C₄₃	—	2	2	no	—
378	C₄×C₄₃	—	2	2	no	—
379	C₄×C₄₃	—	2	1	no	—
380	C₄×C₄₃	—	2	1	no	—
381	C₄×C₄₃	—	2	2	no	—
382	C₄×C₄₃	—	2	1	no	—
383	C₄×C₄₃	C₄×#41	1	2	yes	—
384	C₄×C₄₃	C₂×#131	1	2	yes	—
385	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
386	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
387	Dic₄₃	—	2	2	no	—
388	Dic₄₃	—	2	2	no	—
389	Dic₄₃	—	2	4	no	—
390	Dic₄₃	—	2	4	no	—
391	#3475	—	43	1	no	—
392	#2970	—	43	2	no	—
393	#2969	—	43	2	no	—
394	#2968	—	43	4	no	—
395	#2966	—	43	4	no	—
396	#2966	—	43	2	no	—
397	C₈×#41	—	43	2	no	—
398	#2962	—	43	1	no	—
399	#2960	—	43	1	no	—
400	D₄×M₁₆	—	43	1	no	—
401	#2933	—	43	2	no	—
402	#2929	—	43	2	no	—
403	C₂×C₈×D₄	—	43	1	no	—
404	#2925	—	43	1	no	—
405	#2924	—	43	2	no	—
406	C₄×#131	D₄₃	1	1	yes	characteristic, complemented
407	C₂×#405	—	43	2	no	—
408	C₂×C₄₃	—	2	2	no	—
409	C₂×C₄₃	—	4	2	no	—
410	C₂×C₄₃	C₂×C₄×#41	1	1	yes	characteristic
411	C₂×C₄₃	C₂²×#131	1	1	yes	characteristic
412	C₂×C₄₃	#3573	1	1	yes	characteristic
413	D₄₃	—	2	4	no	—
414	D₄₃	—	4	2	no	—
415	C₂×#131	C₂×D₄₃	1	1	yes	characteristic
416	C₂×#131	C₂×D₄₃	1	1	yes	characteristic
417	C₂²×M₁₆	—	43	2	no	—
418	C₂³×C₈	—	43	2	no	—
419	#556	—	43	1	no	—
420	#555	—	43	1	no	—
421	#554	—	43	1	no	—
422	#553	—	43	2	no	—
423	#552	—	43	2	no	—
424	#552	—	43	2	no	—
425	#551	—	43	4	no	—
426	#547	—	43	1	no	—
427	#546	—	43	2	no	—
428	#533	—	43	1	no	—
429	#529	—	43	4	no	—
430	#529	—	43	2	no	—
431	#525	—	43	2	no	—
432	C₄×#41	—	43	2	no	—
433	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
434	C₂×C₄×D₄	—	43	1	no	—
435	C₂×#117	—	43	2	no	—
436	#446	—	43	4	no	—
437	#446	—	43	2	no	—
438	#446	—	43	2	no	—
439	#446	—	43	2	no	—
440	C₈×Q₈	—	43	2	no	—
441	C₈×Q₈	—	43	2	no	—
442	C₈×Q₈	—	43	2	no	—
443	#436	—	43	4	no	—
444	#436	—	43	2	no	—
445	#435	—	43	4	no	—
446	#435	—	43	4	no	—
447	#435	—	43	4	no	—
448	#435	—	43	4	no	—
449	#435	—	43	4	no	—
450	C₈×D₄	—	43	4	no	—
451	C₈×D₄	—	43	4	no	—
452	C₈×D₄	—	43	4	no	—
453	C₈×D₄	—	43	1	no	—
454	C₈×D₄	—	43	1	no	—
455	C₈×D₄	—	43	2	no	—
456	C₈×D₄	—	43	2	no	—
457	C₈×D₄	—	43	1	no	—
458	C₈×D₄	—	43	1	no	—
459	C₈×D₄	—	43	2	no	—
460	#433	—	43	4	no	—
461	#433	—	43	4	no	—
462	#433	—	43	4	no	—
463	#432	—	43	2	no	—
464	#432	—	43	4	no	—
465	#431	—	43	2	no	—
466	#431	—	43	4	no	—
467	#424	—	43	2	no	—
468	#424	—	43	2	no	—
469	#423	—	43	1	no	—
470	C₂×C₄⋊C₈	—	43	1	no	—
471	#408	—	43	2	no	—
472	#407	—	43	2	no	—
473	C₂×C₂²⋊C₈	—	43	2	no	—
474	#405	—	43	2	no	—
475	#405	—	43	2	no	—
476	#405	—	43	2	no	—
477	#405	—	43	4	no	—
478	#405	—	43	4	no	—
479	#405	C₂×D₄₃	1	1	yes	characteristic
480	#405	C₂×D₄₃	1	1	yes	characteristic
481	#405	C₂×D₄₃	1	2	yes	complemented
482	#405	C₂×D₄₃	1	2	yes	complemented
483	C₄×M₁₆	C₂×D₄₃	1	1	yes	characteristic
484	C₄×M₁₆	C₂×D₄₃	1	2	yes	complemented
485	C₂×#97	—	43	4	no	—
486	C₂×C₄×C₈	—	43	4	no	—
487	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
488	C₂×C₄×C₈	C₂×D₄₃	1	2	yes	complemented
489	C₄₃	#60215	1	1	yes	characteristic, complemented, Sylow
490	C₂×#41	—	43	2	no	—
491	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
492	C₂²×D₄	—	43	1	no	—
493	C₂³×C₄	—	43	2	no	—
494	#131	—	2	4	no	—
495	#131	—	2	4	no	—
496	C₂×M₁₆	—	43	2	no	—
497	C₂×M₁₆	—	43	4	no	—
498	C₂×M₁₆	—	86	8	no	—
499	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
500	C₂×M₁₆	C₂²×D₄₃	1	2	yes	—
501	C₂×M₁₆	C₂²×D₄₃	1	2	yes	—
502	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
503	C₂²×C₈	—	43	2	no	—
504	C₂²×C₈	—	43	2	no	—
505	C₂²×C₈	—	43	2	no	—
506	C₂²×C₈	—	43	4	no	—
507	C₂²×C₈	—	43	2	no	—
508	C₂²×C₈	—	43	2	no	—
509	C₂²×C₈	—	86	8	no	—
510	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
511	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
512	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
513	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
514	C₄⋊Q₈	—	43	1	no	—
515	C₄⋊Q₈	—	43	1	no	—
516	#126	—	43	4	no	—
517	#126	—	43	4	no	—
518	#126	—	43	4	no	—
519	#125	—	43	4	no	—
520	#125	—	43	2	no	—
521	#125	—	43	2	no	—
522	#124	—	43	4	no	—
523	#124	—	43	2	no	—
524	#123	—	43	4	no	—
525	#123	—	43	4	no	—
526	#123	—	43	4	no	—
527	#123	—	43	4	no	—
528	C₂²⋊Q₈	—	43	2	no	—
529	C₂²⋊Q₈	—	43	2	no	—
530	C₂²⋊Q₈	—	43	2	no	—
531	C₂²⋊Q₈	—	43	2	no	—
532	C₂²⋊Q₈	—	43	2	no	—
533	C₂²⋊Q₈	—	43	4	no	—
534	#121	—	43	2	no	—
535	#121	—	43	2	no	—
536	#121	—	43	2	no	—
537	#121	—	43	4	no	—
538	#120	—	43	4	no	—
539	C₄×Q₈	—	43	2	no	—
540	C₄×Q₈	—	43	2	no	—
541	C₄×Q₈	—	43	2	no	—
542	C₄×Q₈	C₄×D₄₃	1	1	yes	characteristic
543	C₄×Q₈	C₄×D₄₃	1	1	yes	characteristic
544	C₄×D₄	—	43	4	no	—
545	C₄×D₄	—	43	4	no	—
546	C₄×D₄	—	43	4	no	—
547	C₄×D₄	—	43	1	no	—
548	C₄×D₄	—	43	2	no	—
549	C₄×D₄	—	43	1	no	—
550	C₄×D₄	—	43	2	no	—
551	C₄×D₄	—	43	1	no	—
552	C₄×D₄	—	43	2	no	—
553	C₄×D₄	—	43	1	no	—
554	C₄×D₄	C₄×D₄₃	1	2	yes	—
555	C₄×D₄	C₄×D₄₃	1	1	yes	characteristic
556	C₄×D₄	C₄×D₄₃	1	2	yes	—
557	C₄×D₄	C₄×D₄₃	1	1	yes	characteristic
558	#117	—	43	2	no	—
559	#117	—	43	2	no	—
560	#117	—	43	2	no	—
561	#117	—	43	2	no	—
562	#117	—	43	4	no	—
563	#117	—	43	4	no	—
564	#117	—	43	4	no	—
565	#117	C₂²×D₄₃	1	1	yes	characteristic
566	#117	C₂²×D₄₃	1	2	yes	—
567	C₂×C₄⋊C₄	—	43	1	no	—
568	C₂×C₄⋊C₄	—	43	2	no	—
569	C₂×C₄⋊C₄	—	43	2	no	—
570	C₂×C₂²⋊C₄	—	43	2	no	—
571	C₂×C₂²⋊C₄	—	43	4	no	—
572	C₂×C₄²	—	43	4	no	—
573	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
574	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
575	C₄⋊C₈	—	43	4	no	—
576	C₄⋊C₈	—	43	4	no	—
577	C₄⋊C₈	—	43	4	no	—
578	C₄⋊C₈	—	43	4	no	—
579	C₄⋊C₈	—	43	1	no	—
580	C₄⋊C₈	—	43	1	no	—
581	C₄⋊C₈	—	43	2	no	—
582	C₄⋊C₈	—	43	2	no	—
583	C₄⋊C₈	—	43	2	no	—
584	C₂²⋊C₈	—	43	4	no	—
585	C₂²⋊C₈	—	43	4	no	—
586	C₂²⋊C₈	—	43	2	no	—
587	C₂²⋊C₈	—	43	2	no	—
588	C₂²⋊C₈	—	43	2	no	—
589	C₂²⋊C₈	—	43	2	no	—
590	C₂²⋊C₈	—	43	4	no	—
591	C₂²⋊C₈	—	43	4	no	—
592	#97	—	43	4	no	—
593	#97	—	43	4	no	—
594	#97	—	43	4	no	—
595	#97	C₂²×D₄₃	1	2	yes	—
596	#97	C₂²×D₄₃	1	2	yes	—
597	#97	C₂²×D₄₃	1	2	yes	—
598	C₄×C₈	—	43	4	no	—
599	C₄×C₈	—	43	4	no	—
600	C₄×C₈	—	43	4	no	—
601	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
602	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
603	C₄×C₈	C₂²×D₄₃	1	2	yes	—
604	C₄×C₈	C₂²×D₄₃	1	2	yes	—
605	C₄×C₈	C₂²×D₄₃	1	2	yes	—
606	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
607	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
608	C₂⁴	—	43	2	no	—
609	#41	—	2	2	no	—
610	#41	—	2	2	no	—
611	#41	—	86	8	no	—
612	C₂×Q₈	—	43	2	no	—
613	C₂×Q₈	—	43	2	no	—
614	C₂×Q₈	C₂×C₄×D₄₃	1	1	yes	characteristic
615	C₂×D₄	—	43	4	no	—
616	C₂×D₄	—	43	4	no	—
617	C₂×D₄	—	43	1	no	—
618	C₂×D₄	—	43	2	no	—
619	C₂×D₄	—	43	1	no	—
620	C₂×D₄	—	86	4	no	—
621	C₂×D₄	C₂×C₄×D₄₃	1	2	yes	—
622	C₂×D₄	C₂×C₄×D₄₃	1	1	yes	characteristic
623	C₂²×C₄	—	43	2	no	—
624	C₂²×C₄	—	43	4	no	—
625	C₂²×C₄	—	43	2	no	—
626	C₂²×C₄	—	43	2	no	—
627	C₂²×C₄	—	43	2	no	—
628	C₂²×C₄	—	43	2	no	—
629	C₂²×C₄	—	43	4	no	—
630	C₂²×C₄	—	86	4	no	—
631	C₂²×C₄	—	86	4	no	—
632	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
633	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
634	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
635	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
636	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
637	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
638	M₁₆	—	2	2	no	—
639	M₁₆	—	2	4	no	—
640	M₁₆	—	2	4	no	—
641	M₁₆	—	86	4	no	—
642	M₁₆	—	86	8	no	—
643	M₁₆	#10621898	1	4	yes	complemented
644	C₂×C₈	—	2	2	no	—
645	C₂×C₈	—	2	4	no	—
646	C₂×C₈	—	2	4	no	—
647	C₂×C₈	—	43	2	no	—
648	C₂×C₈	—	43	4	no	—
649	C₂×C₈	—	43	2	no	—
650	C₂×C₈	—	86	4	no	—
651	C₂×C₈	—	86	4	no	—
652	C₂×C₈	—	86	4	no	—
653	C₂×C₈	—	86	4	no	—
654	C₂×C₈	—	86	4	no	—
655	C₂×C₈	—	86	8	no	—
656	C₂×C₈	#10621898	1	4	yes	complemented
657	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
658	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
659	C₂×C₈	C₂³×D₄₃	1	2	yes	—
660	C₂×C₈	C₂³×D₄₃	1	2	yes	—
661	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
662	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
663	C₄⋊C₄	—	43	1	no	—
664	C₄⋊C₄	—	43	2	no	—
665	C₄⋊C₄	—	43	2	no	—
666	C₄⋊C₄	—	43	4	no	—
667	C₄⋊C₄	—	43	4	no	—
668	C₄⋊C₄	—	43	1	no	—
669	C₄⋊C₄	—	43	2	no	—
670	C₄⋊C₄	—	43	2	no	—
671	C₄⋊C₄	—	43	4	no	—
672	C₄⋊C₄	—	43	4	no	—
673	C₄⋊C₄	—	43	4	no	—
674	C₄⋊C₄	—	43	4	no	—
675	C₄⋊C₄	—	43	2	no	—
676	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
677	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
678	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
679	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
680	C₂²⋊C₄	—	43	4	no	—
681	C₂²⋊C₄	—	43	4	no	—
682	C₂²⋊C₄	—	43	4	no	—
683	C₂²⋊C₄	—	43	2	no	—
684	C₂²⋊C₄	—	43	4	no	—
685	C₂²⋊C₄	—	43	4	no	—
686	C₂²⋊C₄	—	43	2	no	—
687	C₂²⋊C₄	—	43	2	no	—
688	C₂²⋊C₄	—	43	2	no	—
689	C₂²⋊C₄	—	43	4	no	—
690	C₂²⋊C₄	—	43	4	no	—
691	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
692	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
693	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
694	C₄²	—	43	4	no	—
695	C₄²	—	43	4	no	—
696	C₄²	—	43	4	no	—
697	C₄²	C₂×C₄×D₄₃	1	2	yes	—
698	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
699	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
700	C₄²	C₂×C₄×D₄₃	1	2	yes	—
701	C₄²	C₂³×D₄₃	1	2	yes	—
702	C₄²	C₂³×D₄₃	1	1	yes	characteristic
703	C₄²	C₂³×D₄₃	1	1	yes	characteristic
704	C₂³	—	43	2	no	—
705	C₂³	—	43	2	no	—
706	C₂³	—	86	4	no	—
707	C₂³	—	86	4	no	—
708	C₂³	—	172	2	no	—
709	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
710	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
711	Q₈	—	2	2	no	—
712	Q₈	—	86	4	no	—
713	Q₈	—	172	2	no	—
714	D₄	—	2	4	no	—
715	D₄	—	2	2	no	—
716	D₄	—	43	4	no	—
717	D₄	—	86	4	no	—
718	D₄	—	86	8	no	—
719	D₄	—	86	2	no	—
720	D₄	—	172	4	no	—
721	C₂×C₄	—	2	2	no	—
722	C₂×C₄	—	2	4	no	—
723	C₂×C₄	—	2	2	no	—
724	C₂×C₄	—	2	2	no	—
725	C₂×C₄	—	4	2	no	—
726	C₂×C₄	—	4	1	no	—
727	C₂×C₄	—	43	2	no	—
728	C₂×C₄	—	43	4	no	—
729	C₂×C₄	—	43	4	no	—
730	C₂×C₄	—	43	2	no	—
731	C₂×C₄	—	86	8	no	—
732	C₂×C₄	—	86	4	no	—
733	C₂×C₄	—	86	4	no	—
734	C₂×C₄	—	86	4	no	—
735	C₂×C₄	—	86	2	no	—
736	C₂×C₄	—	86	2	no	—
737	C₂×C₄	—	86	2	no	—
738	C₂×C₄	—	86	2	no	—
739	C₂×C₄	—	172	4	no	—
740	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
741	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
742	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
743	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
744	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
745	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
746	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
747	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
748	C₂×C₄	C₂×#10621898	1	2	yes	—
749	C₂×C₄	C₂×#10621898	1	2	yes	—
750	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
751	C₈	—	2	1	no	—
752	C₈	—	2	1	no	—
753	C₈	—	2	2	no	—
754	C₈	—	86	2	no	—
755	C₈	—	86	2	no	—
756	C₈	—	86	4	no	—
757	C₈	C₂×#10621898	1	2	yes	—
758	C₈	C₂×#10621898	1	4	yes	—
759	C₈	C₂×#10621898	1	2	yes	—
760	C₂²	—	2	1	no	—
761	C₂²	—	2	1	no	—
762	C₂²	—	2	2	no	—
763	C₂²	—	2	2	no	—
764	C₂²	—	2	2	no	—
765	C₂²	—	43	4	no	—
766	C₂²	—	86	2	no	—
767	C₂²	—	86	2	no	—
768	C₂²	—	86	2	no	—
769	C₂²	—	86	2	no	—
770	C₂²	—	86	2	no	—
771	C₂²	—	172	8	no	—
772	C₂²	C₄×#10621898	1	2	yes	—
773	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
774	C₄	—	2	2	no	—
775	C₄	—	2	1	no	—
776	C₄	—	2	1	no	—
777	C₄	—	2	2	no	—
778	C₄	—	2	1	no	—
779	C₄	—	2	2	no	—
780	C₄	—	86	4	no	—
781	C₄	—	86	4	no	—
782	C₄	—	86	2	no	—
783	C₄	—	86	2	no	—
784	C₄	C₄×#10621898	1	2	yes	—
785	C₄	#131×D₄₃	1	2	yes	—
786	C₄	C₂²×#10621898	1	1	yes	characteristic
787	C₄	C₂²×#10621898	1	1	yes	characteristic
788	C₂	—	2	2	no	—
789	C₂	—	4	2	no	—
790	C₂	—	86	4	no	—
791	C₂	—	172	2	no	—
792	C₂	C₂×C₄×#10621898	1	1	yes	characteristic
793	C₂	C₂×#131×D₄₃	1	1	yes	characteristic
794	C₂	#19149306	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	C₂³×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄×#131×C₄₃	C₂
prime radical	#19148159	C₂
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	C₄×#131	D₄₃
hypocenter	C₄₃	#60215
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₈ ◁ C₄×#131

Complements

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

N	H ≅ G/N	type
2. #19143610	C₂	semidirect
3. #19143599	C₂	semidirect
4. #19143585	C₂	semidirect
5. #19143570	C₂	semidirect
6. #19143566	C₂	semidirect
7. C₈×#10621898	C₂	semidirect
8. #19143542	C₂	semidirect
9. #19143529	C₂	semidirect
10. M₁₆×D₁₇₂	C₂	semidirect
11. #19143317	C₂	semidirect
12. #19143287	C₂	semidirect
13. C₂×C₈×D₁₇₂	C₂	semidirect
14. #19143261	C₂	semidirect
15. #19143250	C₂	semidirect
16. #405×D₄₃	C₂	semidirect
17. C₄×#131×C₄₃	C₂	semidirect
36. #14583029	C₂²	semidirect
37. #14583029	C₂²	semidirect
38. #14583029	C₂²	semidirect
39. #14583027	C₂²	semidirect
40. C₈×Dic₈₆	C₂²	semidirect
41. C₈×Dic₈₆	C₂²	semidirect
42. C₈×Dic₈₆	C₂²	semidirect
44. #14582975	C₂²	semidirect
46. #14582970	C₂²	semidirect
47. #14582968	C₂²	semidirect
48. #14582968	C₂²	semidirect
49. #14582968	C₂²	semidirect
57. C₈×C₂²⋊D₄₃	C₂²	semidirect
58. C₈×C₂²⋊D₄₃	C₂²	semidirect
59. C₈×C₂²⋊D₄₃	C₂²	semidirect
60. #14582961	C₂²	semidirect
61. #14582960	C₂²	semidirect
62. #14582958	C₂²	semidirect
63. #14582956	C₂²	semidirect
64. #14582954	C₂²	semidirect
65. #14582952	C₂²	semidirect
66. #14582950	C₂²	semidirect
75. #14582856	C₂²	semidirect
78. #14582853	C₂²	semidirect
79. #97×D₄₃	C₂²	semidirect
80. C₄×C₈×D₄₃	C₂²	semidirect
86. C₄₃×#405	C₂²	semidirect
87. C₄₃×#405	C₂²	semidirect
89. C₄×M₁₆×C₄₃	C₂²	semidirect
91. C₂×C₄×C₈×C₄₃	C₂²	semidirect
243. M₁₆×C₄₃	#41	semidirect
247. C₂×C₈×C₄₃	#41	semidirect
342. D₁₇₂	#131	semidirect
406. C₄×#131	D₄₃	semidirect
481. #405	C₂×D₄₃	semidirect
482. #405	C₂×D₄₃	semidirect
484. C₄×M₁₆	C₂×D₄₃	semidirect
488. C₂×C₄×C₈	C₂×D₄₃	semidirect
489. C₄₃	#60215	semidirect
643. M₁₆	#10621898	semidirect
656. C₂×C₈	#10621898	semidirect

Maximal subgroups

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

subgroup	index
#19148159	2
#19143610	2
#19143599	2
#19143585	2
#19143570	2
#19143566	2
C₈×#10621898	2
#19143542	2
#19143529	2
M₁₆×D₁₇₂	2
#19143317	2
#19143287	2
C₂×C₈×D₁₇₂	2
#19143261	2
#19143250	2
#405×D₄₃	2
C₄×#131×C₄₃	2
#60215	43