Subgroups — #25960874

Order 11008.

2818 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583701	C₂	1	1	yes	maximal, characteristic
2	C₄×#13063371	C₂	1	2	yes	maximal, complemented
3	#19143479	C₂	1	1	yes	maximal, characteristic, complemented
4	#19143475	C₂	1	2	yes	maximal, complemented
5	#19143446	C₂	1	1	yes	maximal, characteristic, complemented
6	#19143444	C₂	1	2	yes	maximal, complemented
7	#19143430	C₂	1	2	yes	maximal, complemented
8	#19143426	C₂	1	4	yes	maximal, complemented
9	C₄×#13063350	C₂	1	2	yes	maximal, complemented
10	#19143400	C₂	1	4	yes	maximal, complemented
11	#19143394	C₂	1	2	yes	maximal, complemented
12	C₂×#14583012	C₂	1	1	yes	maximal, characteristic, complemented
13	#442×D₄₃	C₂	1	2	yes	maximal, complemented
14	#19143187	C₂	1	1	yes	maximal, characteristic, complemented
15	#19143117	C₂	1	2	yes	maximal, complemented
16	#19143020	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₃×#2943	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#13063371	C₂²	1	2	yes	—
19	#14583701	C₄	1	16	yes	complemented
20	C₂×#13063352	C₂²	1	4	yes	—
21	C₂×#13063350	C₂²	1	2	yes	—
22	C₂×#13063348	C₂²	1	2	yes	—
23	C₂²×D₃₄₄	C₂²	1	1	yes	characteristic
24	C₂×D₈×D₄₃	C₂²	1	2	yes	—
25	C₂×#13063331	C₂²	1	1	yes	characteristic
26	C₂×#13063331	C₂²	1	1	yes	characteristic
27	#14583382	C₂²	1	2	yes	complemented
28	#14583381	C₂²	1	4	yes	complemented
29	#14583379	—	2	2	no	—
30	#14583379	C₂²	1	2	yes	—
31	#14583373	—	2	2	no	—
32	#14583373	C₂²	1	2	yes	complemented
33	#14583371	—	2	4	no	—
34	#14583371	C₂²	1	4	yes	complemented
35	C₄×#10621902	C₂²	1	4	yes	complemented
36	C₄×#10621898	—	2	2	no	—
37	C₄×#10621898	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₁₇₂	—	2	2	no	—
39	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
40	C₄×D₄×D₄₃	—	2	4	no	—
41	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
42	#14583012	C₂²	1	2	yes	complemented
43	#14583012	C₂²	1	2	yes	complemented
44	#14583012	C₂²	1	2	yes	complemented
45	#14583012	C₂²	1	2	yes	complemented
46	#14583011	C₂²	1	2	yes	complemented
47	#14583010	C₂²	1	2	yes	complemented
48	#14583010	C₂²	1	2	yes	complemented
49	#14583009	C₂²	1	4	yes	complemented
50	#14583008	C₂²	1	4	yes	complemented
51	#14583006	C₂²	1	2	yes	complemented
52	#14583002	C₂²	1	4	yes	complemented
53	#14582997	C₂²	1	4	yes	complemented
54	SD₁₆×Dic₄₃	C₂²	1	4	yes	complemented
55	C₄×#10621884	C₂²	1	4	yes	complemented
56	#14582984	C₂²	1	4	yes	complemented
57	#14582981	C₂²	1	4	yes	complemented
58	C₄×#10621882	C₂²	1	4	yes	complemented
59	#14582979	C₂²	1	4	yes	complemented
60	#14582942	C₂²	1	2	yes	complemented
61	#14582940	C₂²	1	4	yes	complemented
62	#14582934	C₂²	1	2	yes	complemented
63	C₂×#13063257	C₂²	1	1	yes	characteristic, complemented
64	#106×D₄₃	C₂²	1	2	yes	complemented
65	#14582903	C₂²	1	2	yes	complemented
66	#14582902	C₂²	1	4	yes	complemented
67	#14582900	C₂²	1	2	yes	complemented
68	#14582899	C₂²	1	4	yes	complemented
69	#14582894	C₂²	1	4	yes	complemented
70	C₂×#13063247	C₂²	1	2	yes	complemented
71	#102×D₄₃	C₂²	1	4	yes	complemented
72	#14582856	C₂²	1	2	yes	complemented
73	#14582856	C₂²	1	2	yes	complemented
74	#14582854	C₂²	1	1	yes	characteristic, complemented
75	#14582854	C₂²	1	1	yes	characteristic, complemented
76	C₄×#10621877	C₂²	1	1	yes	characteristic, complemented
77	#14582851	C₂²	1	2	yes	complemented
78	#97×D₄₃	C₂²	1	2	yes	complemented
79	C₂×#135×C₄₃	C₂²	1	1	yes	characteristic
80	C₄×#41×C₄₃	C₂²	1	2	yes	complemented
81	C₄₃×#442	C₂²	1	1	yes	characteristic, complemented
82	C₄₃×#442	C₂²	1	1	yes	characteristic, complemented
83	C₄₃×#441	C₂²	1	1	yes	characteristic, complemented
84	C₄₃×#441	C₂²	1	1	yes	characteristic, complemented
85	C₄₃×#440	C₂²	1	2	yes	complemented
86	C₄₃×#440	C₂²	1	2	yes	complemented
87	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
88	C₄₃×#416	C₂²	1	2	yes	complemented
89	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic, complemented
90	#13063371	—	2	8	no	—
91	#13063371	C₂×C₄	1	16	yes	complemented
92	C₂×#10621902	C₂³	1	4	yes	—
93	C₂×#10621898	—	2	2	no	—
94	C₂×#10621898	C₂³	1	1	yes	characteristic
95	C₂²×D₁₇₂	—	2	2	no	—
96	C₂²×D₁₇₂	C₂³	1	2	yes	—
97	C₂×D₄×D₄₃	—	2	4	no	—
98	C₂×D₄×D₄₃	C₂³	1	4	yes	—
99	C₂²×C₄×D₄₃	—	2	2	no	—
100	C₂²×C₄×D₄₃	—	2	4	no	—
101	#13063352	C₂×C₄	1	32	yes	complemented
102	#13063350	C₂×C₄	1	16	yes	complemented
103	#13063348	C₂×C₄	1	16	yes	complemented
104	C₂×#10621884	C₂³	1	4	yes	—
105	C₂×D₃₄₄	C₂×C₄	1	8	yes	complemented
106	C₂×D₃₄₄	C₂³	1	2	yes	—
107	C₂×D₃₄₄	C₂³	1	2	yes	—
108	C₂×#10621882	C₂³	1	4	yes	—
109	D₈×D₄₃	C₂×C₄	1	16	yes	complemented
110	#13063331	—	2	4	no	—
111	#13063331	C₂×C₄	1	8	yes	complemented
112	C₂×#10621877	C₂³	1	1	yes	characteristic
113	C₂×#10621877	C₂³	1	1	yes	characteristic
114	C₂×#10621872	C₂³	1	2	yes	—
115	C₂×#10621872	C₂³	1	2	yes	—
116	C₂×C₈×D₄₃	C₂³	1	2	yes	—
117	C₂×C₈×D₄₃	C₂³	1	2	yes	—
118	Q₈×Dic₄₃	C₂³	1	4	yes	—
119	C₄×Dic₈₆	—	2	2	no	—
120	C₄×Dic₈₆	D₄	1	2	yes	—
121	C₄×D₁₇₂	—	2	2	no	—
122	C₄×D₁₇₂	—	2	4	no	—
123	C₄×D₁₇₂	—	2	2	no	—
124	C₄×D₁₇₂	—	2	2	no	—
125	C₄×D₁₇₂	—	2	4	no	—
126	C₄×D₁₇₂	—	2	2	no	—
127	C₄×D₁₇₂	—	2	2	no	—
128	C₄×D₁₇₂	D₄	1	2	yes	—
129	C₄×D₁₇₂	C₂³	1	4	yes	—
130	C₄×D₁₇₂	C₂³	1	4	yes	—
131	D₄×Dic₄₃	—	2	4	no	—
132	D₄×Dic₄₃	C₂³	1	4	yes	—
133	#13063287	—	2	4	no	—
134	#13063287	—	2	4	no	—
135	#13063287	C₂³	1	4	yes	—
136	#13063287	C₂³	1	4	yes	—
137	C₄×C₂²⋊D₄₃	—	2	4	no	—
138	C₄×C₂²⋊D₄₃	—	2	4	no	—
139	C₄×C₂²⋊D₄₃	D₄	1	4	yes	—
140	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
141	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
142	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
143	#13063284	—	2	2	no	—
144	#13063284	C₂³	1	1	yes	characteristic
145	#13063283	—	2	4	no	—
146	#13063283	C₂³	1	4	yes	—
147	#13063282	—	2	4	no	—
148	#13063282	C₂³	1	2	yes	—
149	C₂×C₄⋊Dic₄₃	—	2	2	no	—
150	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
151	C₄⋊C₄×D₄₃	—	2	4	no	—
152	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
153	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
154	C₂×(C₂×D₄₃)⋊C₄	—	2	4	no	—
155	C₂²⋊C₄×D₄₃	—	2	4	no	—
156	C₂²⋊C₄×D₄₃	—	2	4	no	—
157	C₂²⋊C₄×D₄₃	—	2	4	no	—
158	C₄²×D₄₃	—	2	4	no	—
159	C₄²×D₄₃	C₂³	1	2	yes	—
160	#13063258	C₂³	1	4	yes	—
161	#13063257	C₂³	1	2	yes	—
162	#13063257	C₂³	1	2	yes	—
163	#13063256	C₂³	1	4	yes	—
164	#13063249	C₂³	1	4	yes	—
165	#13063247	C₂³	1	4	yes	—
166	#13063247	C₂³	1	4	yes	—
167	#13063246	C₂³	1	4	yes	—
168	#13063245	C₂³	1	4	yes	—
169	#13063245	C₂³	1	4	yes	—
170	#13063236	C₂³	1	2	yes	—
171	#13063235	C₂³	1	2	yes	—
172	#13063235	C₂³	1	2	yes	—
173	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
174	C₈×Dic₄₃	C₂³	1	2	yes	—
175	C₈×Dic₄₃	C₂³	1	2	yes	—
176	C₂×#41×C₄₃	C₂³	1	2	yes	—
177	#135×C₄₃	C₂×C₄	1	8	yes	complemented
178	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
179	C₂×SD₁₆×C₄₃	C₂³	1	2	yes	—
180	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
181	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
182	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
183	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
184	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
185	C₄×D₄×C₄₃	—	2	2	no	—
186	C₄×D₄×C₄₃	—	2	2	no	—
187	C₄×D₄×C₄₃	C₂³	1	2	yes	—
188	C₄×D₄×C₄₃	C₂³	1	2	yes	—
189	#117×C₄₃	—	2	2	no	—
190	#117×C₄₃	C₂³	1	2	yes	—
191	C₂×C₄²×C₄₃	—	2	2	no	—
192	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
193	#107×C₄₃	C₂³	1	2	yes	—
194	#106×C₄₃	C₂³	1	1	yes	characteristic
195	#106×C₄₃	C₂³	1	1	yes	characteristic
196	#103×C₄₃	C₂³	1	2	yes	—
197	#103×C₄₃	C₂³	1	2	yes	—
198	#102×C₄₃	C₂³	1	2	yes	—
199	#102×C₄₃	C₂³	1	2	yes	—
200	#97×C₄₃	C₂³	1	1	yes	characteristic
201	#97×C₄₃	C₂³	1	1	yes	characteristic
202	#97×C₄₃	C₂³	1	1	yes	characteristic
203	#97×C₄₃	C₂³	1	1	yes	characteristic
204	C₂³×D₄₃	—	2	2	no	—
205	C₂³×D₄₃	—	2	4	no	—
206	#41×C₄₃	—	2	4	no	—
207	#41×C₄₃	C₂²×C₄	1	8	yes	complemented
208	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
209	C₂×D₄×C₄₃	—	2	2	no	—
210	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₄₃	—	2	2	no	—
212	C₂²×C₄×C₄₃	—	2	2	no	—
213	C₂²×C₄×C₄₃	—	2	2	no	—
214	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
215	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
216	C₂×C₂²⋊D₄₃	—	2	4	no	—
217	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
218	C₂²×Dic₄₃	—	2	4	no	—
219	C₂²×Dic₄₃	—	2	2	no	—
220	#10621902	—	2	8	no	—
221	#10621902	C₂²×C₄	1	16	yes	complemented
222	D₄×D₄₃	—	2	32	no	—
223	D₄×D₄₃	—	2	8	no	—
224	D₄×D₄₃	C₂²×C₄	1	16	yes	complemented
225	#10621898	—	2	16	no	—
226	#10621898	C₂²×C₄	1	4	yes	—
227	#10621898	#41	1	4	yes	—
228	C₂×D₁₇₂	—	2	2	no	—
229	C₂×D₁₇₂	—	2	4	no	—
230	C₂×D₁₇₂	—	2	16	no	—
231	C₂×D₁₇₂	—	2	4	no	—
232	C₂×D₁₇₂	C₂²×C₄	1	8	yes	complemented
233	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
234	C₂×D₁₇₂	C₂⁴	1	4	yes	—
235	C₂×C₄×D₄₃	—	2	4	no	—
236	C₂×C₄×D₄₃	—	2	4	no	—
237	C₂×C₄×D₄₃	—	2	4	no	—
238	C₂×C₄×D₄₃	—	2	4	no	—
239	C₂×C₄×D₄₃	—	2	4	no	—
240	C₂×C₄×D₄₃	—	2	4	no	—
241	C₂×C₄×D₄₃	—	8	8	no	—
242	C₂×C₄×D₄₃	—	8	4	no	—
243	C₂×C₄×D₄₃	C₂×D₄	1	4	yes	—
244	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
245	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
246	Q₁₆×C₄₃	C₂²×C₄	1	4	yes	complemented
247	SD₁₆×C₄₃	C₂²×C₄	1	8	yes	complemented
248	D₈×C₄₃	C₂²×C₄	1	4	yes	complemented
249	C₂×C₈×C₄₃	—	2	2	no	—
250	C₂×C₈×C₄₃	C₂²×C₄	1	4	yes	complemented
251	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
252	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
253	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
254	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
255	C₄⋊C₄×C₄₃	—	2	2	no	—
256	C₄⋊C₄×C₄₃	—	2	2	no	—
257	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
258	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
259	C₂²⋊C₄×C₄₃	—	2	2	no	—
260	C₂²⋊C₄×C₄₃	—	2	2	no	—
261	C₂²⋊C₄×C₄₃	—	2	2	no	—
262	C₄²×C₄₃	—	2	2	no	—
263	C₄²×C₄₃	—	2	2	no	—
264	C₄²×C₄₃	—	2	2	no	—
265	C₄²×C₄₃	C₂×D₄	1	2	yes	—
266	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
267	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
268	C₂²⋊Dic₄₃	—	2	4	no	—
269	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
270	#10621884	C₂²×C₄	1	16	yes	complemented
271	#10621882	C₂²×C₄	1	16	yes	complemented
272	(C₂×D₄₃)⋊C₄	—	2	4	no	—
273	(C₂×D₄₃)⋊C₄	—	2	4	no	—
274	(C₂×D₄₃)⋊C₄	—	2	4	no	—
275	(C₂×D₄₃)⋊C₄	—	2	4	no	—
276	(C₂×D₄₃)⋊C₄	—	2	4	no	—
277	(C₂×D₄₃)⋊C₄	C₂×D₄	1	4	yes	—
278	C₄⋊Dic₄₃	—	2	2	no	—
279	C₄⋊Dic₄₃	—	2	4	no	—
280	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
281	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
282	Dic₄₃⋊C₄	—	2	4	no	—
283	Dic₄₃⋊C₄	C₂×D₄	1	4	yes	—
284	C₄×Dic₄₃	—	2	4	no	—
285	C₄×Dic₄₃	—	2	4	no	—
286	C₄×Dic₄₃	C₂×D₄	1	4	yes	—
287	C₄×Dic₄₃	C₂⁴	1	2	yes	—
288	#10621877	—	2	2	no	—
289	#10621877	C₂²×C₄	1	4	yes	complemented
290	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
291	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
292	D₃₄₄	C₂²×C₄	1	8	yes	complemented
293	D₃₄₄	C₂²×C₄	1	8	yes	complemented
294	#10621872	—	2	4	no	—
295	#10621872	C₂²×C₄	1	8	yes	complemented
296	C₈×D₄₃	—	2	4	no	—
297	C₈×D₄₃	C₂²×C₄	1	8	yes	complemented
298	C₂³×C₄₃	—	2	2	no	—
299	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
300	C₂²×D₄₃	—	2	4	no	—
301	C₂²×D₄₃	—	2	8	no	—
302	C₂²×D₄₃	—	2	16	no	—
303	C₂²×D₄₃	—	8	4	no	—
304	C₂²×D₄₃	—	8	4	no	—
305	C₂²×D₄₃	—	8	2	no	—
306	C₂²×D₄₃	—	8	2	no	—
307	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
308	Q₈×C₄₃	—	2	2	no	—
309	Q₈×C₄₃	C₂³×C₄	1	4	yes	—
310	D₄×C₄₃	—	2	8	no	—
311	D₄×C₄₃	—	2	2	no	—
312	D₄×C₄₃	C₂³×C₄	1	4	yes	—
313	C₂×C₄×C₄₃	—	2	2	no	—
314	C₂×C₄×C₄₃	—	2	8	no	—
315	C₂×C₄×C₄₃	—	2	2	no	—
316	C₂×C₄×C₄₃	—	2	2	no	—
317	C₂×C₄×C₄₃	—	4	2	no	—
318	C₂×C₄×C₄₃	—	4	4	no	—
319	C₂×C₄×C₄₃	—	8	2	no	—
320	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
321	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
322	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
323	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
324	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
325	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
326	C₂²⋊D₄₃	—	2	16	no	—
327	C₂²⋊D₄₃	C₄×D₄	1	8	yes	—
328	C₂×Dic₄₃	—	2	4	no	—
329	C₂×Dic₄₃	—	8	4	no	—
330	C₂×Dic₄₃	—	8	2	no	—
331	C₂×Dic₄₃	C₂²×D₄	1	4	yes	—
332	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
333	D₁₇₂	—	2	16	no	—
334	D₁₇₂	—	2	8	no	—
335	D₁₇₂	—	2	4	no	—
336	D₁₇₂	C₄×D₄	1	4	yes	—
337	D₁₇₂	C₂³×C₄	1	8	yes	—
338	C₄×D₄₃	—	2	16	no	—
339	C₄×D₄₃	—	4	4	no	—
340	C₄×D₄₃	—	4	8	no	—
341	C₄×D₄₃	—	8	4	no	—
342	C₄×D₄₃	—	8	4	no	—
343	C₄×D₄₃	—	8	4	no	—
344	C₄×D₄₃	—	8	4	no	—
345	C₄×D₄₃	C₂³×C₄	1	4	yes	—
346	C₄×D₄₃	C₂×#41	1	4	yes	—
347	Dic₈₆	C₄×D₄	1	4	yes	—
348	C₈×C₄₃	—	2	1	no	—
349	C₈×C₄₃	—	2	1	no	—
350	C₈×C₄₃	C₂³×C₄	1	2	yes	—
351	C₈×C₄₃	C₂³×C₄	1	2	yes	—
352	C₄₃⋊C₈	—	2	2	no	—
353	C₄₃⋊C₈	C₂³×C₄	1	4	yes	—
354	#60176	—	43	1	no	maximal, Sylow
355	C₂²×C₄₃	—	2	2	no	—
356	C₂²×C₄₃	—	2	4	no	—
357	C₂²×C₄₃	—	4	2	no	—
358	C₂²×C₄₃	—	4	2	no	—
359	C₂²×C₄₃	C₂×C₄×D₄	1	2	yes	—
360	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
361	C₂×D₄₃	—	2	4	no	—
362	C₂×D₄₃	—	2	8	no	—
363	C₂×D₄₃	—	4	4	no	—
364	C₂×D₄₃	—	4	4	no	—
365	C₂×D₄₃	—	8	16	no	—
366	C₂×D₄₃	—	8	8	no	—
367	C₂×D₄₃	C₂×C₄×D₄	1	4	yes	—
368	C₄×C₄₃	—	2	2	no	—
369	C₄×C₄₃	—	2	2	no	—
370	C₄×C₄₃	—	2	4	no	—
371	C₄×C₄₃	—	4	2	no	—
372	C₄×C₄₃	—	4	2	no	—
373	C₄×C₄₃	C₂×C₄×D₄	1	2	yes	—
374	C₄×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
375	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
376	Dic₄₃	—	2	4	no	—
377	Dic₄₃	—	4	4	no	—
378	Dic₄₃	C₂×C₄×D₄	1	4	yes	—
379	C₂×#576	—	43	1	no	—
380	C₄×H(5,𝔽₂)	—	43	2	no	—
381	#2952	—	43	2	no	—
382	#2952	—	43	1	no	—
383	#2948	—	43	2	no	—
384	#2948	—	43	1	no	—
385	#2946	—	43	4	no	—
386	#2946	—	43	2	no	—
387	C₄×AGL(1,ℤ/8)	—	43	4	no	—
388	C₄×AGL(1,ℤ/8)	—	43	2	no	—
389	#2943	—	43	2	no	—
390	#2943	D₄₃	1	1	yes	characteristic, complemented
391	C₂×#442	—	43	2	no	—
392	C₂×#442	—	43	1	no	—
393	#2912	—	43	1	no	—
394	#2897	—	43	2	no	—
395	#2875	—	43	1	no	—
396	C₂×C₄₃	—	2	2	no	—
397	C₂×C₄₃	—	4	4	no	—
398	C₂×C₄₃	C₂²×C₄×D₄	1	1	yes	characteristic
399	C₂×C₄₃	#3585	1	2	yes	—
400	D₄₃	—	2	4	no	—
401	D₄₃	—	4	8	no	—
402	C₂×H(5,𝔽₂)	—	43	2	no	—
403	#576	—	43	16	no	—
404	C₂×AGL(1,ℤ/8)	—	43	2	no	—
405	C₂×AGL(1,ℤ/8)	—	43	4	no	—
406	C₂×#135	—	43	2	no	—
407	C₂×#135	C₂×D₄₃	1	1	yes	characteristic
408	C₂²×D₈	—	43	2	no	—
409	C₂²×D₈	—	43	1	no	—
410	C₂×#131	—	43	1	no	—
411	C₂×#131	—	43	1	no	—
412	#520	—	43	2	no	—
413	#520	—	43	2	no	—
414	#520	—	43	4	no	—
415	#520	—	86	2	no	—
416	#518	—	43	4	no	—
417	#518	—	43	2	no	—
418	#518	—	86	2	no	—
419	#518	—	86	4	no	—
420	C₄×#41	—	43	1	no	—
421	C₄×#41	—	43	4	no	—
422	C₄×#41	—	86	2	no	—
423	C₄×#41	C₂×D₄₃	1	2	yes	complemented
424	C₂×C₄×D₄	—	43	4	no	—
425	C₂×C₄×D₄	—	43	2	no	—
426	C₂×C₄×D₄	—	86	2	no	—
427	C₂×C₄×D₄	—	86	4	no	—
428	#442	—	43	2	no	—
429	#442	—	43	4	no	—
430	#442	—	43	2	no	—
431	#442	—	43	2	no	—
432	#442	—	43	4	no	—
433	#442	—	43	2	no	—
434	#442	—	43	2	no	—
435	#442	—	43	2	no	—
436	#442	—	43	2	no	—
437	#442	C₂×D₄₃	1	1	yes	characteristic, complemented
438	#442	C₂×D₄₃	1	1	yes	characteristic, complemented
439	#441	—	43	2	no	—
440	#441	C₂×D₄₃	1	1	yes	characteristic, complemented
441	#441	C₂×D₄₃	1	1	yes	characteristic, complemented
442	#440	—	43	4	no	—
443	#440	—	43	4	no	—
444	#440	C₂×D₄₃	1	2	yes	complemented
445	#440	C₂×D₄₃	1	2	yes	complemented
446	C₄×SD₁₆	—	43	4	no	—
447	C₄×SD₁₆	—	43	4	no	—
448	C₄×SD₁₆	—	43	4	no	—
449	C₄×D₈	—	43	4	no	—
450	C₄×D₈	—	43	4	no	—
451	C₄×D₈	—	43	4	no	—
452	#428	—	43	2	no	—
453	#428	—	43	4	no	—
454	#427	—	43	2	no	—
455	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
456	C₂×#106	—	43	1	no	—
457	C₂×#106	—	43	2	no	—
458	#418	—	43	2	no	—
459	#418	—	43	4	no	—
460	#417	—	43	2	no	—
461	#417	—	43	4	no	—
462	#416	—	43	4	no	—
463	#416	C₂×D₄₃	1	2	yes	complemented
464	C₂×#102	—	43	2	no	—
465	C₂×#102	—	43	4	no	—
466	#405	—	43	1	no	—
467	#405	—	43	1	no	—
468	#405	—	43	2	no	—
469	#405	—	43	2	no	—
470	C₄×M₁₆	—	43	1	no	—
471	C₄×M₁₆	—	43	2	no	—
472	C₂×#97	—	43	2	no	—
473	C₂×#97	C₂×D₄₃	1	1	yes	characteristic, complemented
474	C₄₃	#60176	1	1	yes	characteristic, complemented, Sylow
475	H(5,𝔽₂)	—	43	16	no	—
476	H(5,𝔽₂)	—	86	8	no	—
477	C₂×#41	—	43	1	no	—
478	C₂×#41	—	43	4	no	—
479	C₂×#41	—	86	2	no	—
480	C₂×#41	C₂²×D₄₃	1	2	yes	—
481	C₂²×D₄	—	43	4	no	—
482	C₂²×D₄	—	43	2	no	—
483	C₂²×D₄	—	86	2	no	—
484	C₂²×D₄	—	86	4	no	—
485	C₂³×C₄	—	86	4	no	—
486	C₂³×C₄	—	86	2	no	—
487	AGL(1,ℤ/8)	—	43	16	no	—
488	AGL(1,ℤ/8)	—	43	32	no	—
489	#135	—	43	16	no	—
490	#135	C₄×D₄₃	1	8	yes	complemented
491	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
492	C₂×SD₁₆	—	43	4	no	—
493	C₂×SD₁₆	C₂²×D₄₃	1	2	yes	—
494	C₂×D₈	—	43	4	no	—
495	C₂×D₈	—	43	16	no	—
496	C₂×D₈	—	43	8	no	—
497	C₂×D₈	—	43	2	no	—
498	C₂×D₈	—	43	2	no	—
499	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
500	#131	—	43	8	no	—
501	#131	—	86	4	no	—
502	C₂×M₁₆	—	43	1	no	—
503	C₂×M₁₆	—	43	1	no	—
504	C₂×M₁₆	—	43	2	no	—
505	C₂×M₁₆	—	43	2	no	—
506	C₂²×C₈	—	43	2	no	—
507	C₂²×C₈	—	43	2	no	—
508	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
509	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
510	C₄×Q₈	—	43	2	no	—
511	C₄×Q₈	—	43	4	no	—
512	C₄×Q₈	—	86	2	no	—
513	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
514	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
515	C₄×D₄	—	2	2	no	—
516	C₄×D₄	—	2	2	no	—
517	C₄×D₄	—	43	4	no	—
518	C₄×D₄	—	43	4	no	—
519	C₄×D₄	—	43	4	no	—
520	C₄×D₄	—	43	4	no	—
521	C₄×D₄	—	43	2	no	—
522	C₄×D₄	—	43	4	no	—
523	C₄×D₄	—	43	4	no	—
524	C₄×D₄	—	86	4	no	—
525	C₄×D₄	—	86	2	no	—
526	C₄×D₄	—	86	2	no	—
527	C₄×D₄	—	86	4	no	—
528	C₄×D₄	—	86	2	no	—
529	C₄×D₄	—	86	4	no	—
530	C₄×D₄	—	86	4	no	—
531	C₄×D₄	—	86	4	no	—
532	C₄×D₄	—	86	4	no	—
533	C₄×D₄	—	86	4	no	—
534	C₄×D₄	—	86	4	no	—
535	C₄×D₄	—	86	4	no	—
536	C₄×D₄	—	86	4	no	—
537	C₄×D₄	—	86	2	no	—
538	C₄×D₄	—	86	2	no	—
539	C₄×D₄	C₂²×D₄₃	1	2	yes	—
540	C₄×D₄	C₂²×D₄₃	1	2	yes	—
541	#117	—	2	2	no	—
542	#117	—	43	1	no	—
543	#117	—	43	2	no	—
544	#117	—	43	4	no	—
545	#117	—	86	4	no	—
546	#117	—	86	4	no	—
547	#117	—	86	2	no	—
548	#117	C₂²×D₄₃	1	2	yes	—
549	C₂×C₄⋊C₄	—	43	2	no	—
550	C₂×C₄⋊C₄	—	43	4	no	—
551	C₂×C₄⋊C₄	—	86	4	no	—
552	C₂×C₄⋊C₄	—	86	2	no	—
553	C₂×C₂²⋊C₄	—	86	4	no	—
554	C₂×C₂²⋊C₄	—	86	4	no	—
555	C₂×C₂²⋊C₄	—	86	4	no	—
556	C₂×C₂²⋊C₄	—	86	4	no	—
557	C₂×C₂²⋊C₄	—	86	2	no	—
558	C₂×C₄²	—	2	2	no	—
559	C₂×C₄²	—	43	2	no	—
560	C₂×C₄²	—	86	4	no	—
561	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
562	#107	—	43	4	no	—
563	#107	C₂²×D₄₃	1	2	yes	—
564	#106	—	43	2	no	—
565	#106	—	43	2	no	—
566	#106	—	43	4	no	—
567	#106	C₂²×D₄₃	1	1	yes	characteristic
568	#106	C₂²×D₄₃	1	1	yes	characteristic
569	#103	—	43	4	no	—
570	#103	C₂²×D₄₃	1	2	yes	—
571	#103	C₂²×D₄₃	1	2	yes	—
572	#102	—	43	4	no	—
573	#102	—	43	4	no	—
574	#102	—	43	4	no	—
575	#102	—	43	4	no	—
576	#102	—	43	4	no	—
577	#102	C₂²×D₄₃	1	2	yes	—
578	#102	C₂²×D₄₃	1	2	yes	—
579	#97	—	43	2	no	—
580	#97	—	43	2	no	—
581	#97	—	43	2	no	—
582	#97	C₂²×D₄₃	1	1	yes	characteristic
583	#97	C₂²×D₄₃	1	1	yes	characteristic
584	#97	C₂²×D₄₃	1	1	yes	characteristic
585	#97	C₂²×D₄₃	1	1	yes	characteristic
586	C₄×C₈	—	43	2	no	—
587	C₄×C₈	—	43	2	no	—
588	C₄×C₈	—	43	2	no	—
589	C₂⁴	—	86	4	no	—
590	C₂⁴	—	86	2	no	—
591	#41	—	2	4	no	—
592	#41	—	43	4	no	—
593	#41	—	43	4	no	—
594	#41	—	43	16	no	—
595	#41	—	86	16	no	—
596	#41	—	86	8	no	—
597	#41	C₂×C₄×D₄₃	1	8	yes	complemented
598	C₂×Q₈	—	43	1	no	—
599	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
600	C₂×D₄	—	2	2	no	—
601	C₂×D₄	—	43	2	no	—
602	C₂×D₄	—	43	16	no	—
603	C₂×D₄	—	43	8	no	—
604	C₂×D₄	—	43	1	no	—
605	C₂×D₄	—	43	4	no	—
606	C₂×D₄	—	86	16	no	—
607	C₂×D₄	—	86	4	no	—
608	C₂×D₄	—	86	8	no	—
609	C₂×D₄	—	86	4	no	—
610	C₂×D₄	—	86	32	no	—
611	C₂×D₄	—	86	2	no	—
612	C₂×D₄	—	86	4	no	—
613	C₂×D₄	C₂³×D₄₃	1	2	yes	—
614	C₂²×C₄	—	2	2	no	—
615	C₂²×C₄	—	2	2	no	—
616	C₂²×C₄	—	2	2	no	—
617	C₂²×C₄	—	43	2	no	—
618	C₂²×C₄	—	43	4	no	—
619	C₂²×C₄	—	86	4	no	—
620	C₂²×C₄	—	86	4	no	—
621	C₂²×C₄	—	86	4	no	—
622	C₂²×C₄	—	86	4	no	—
623	C₂²×C₄	—	86	4	no	—
624	C₂²×C₄	—	86	2	no	—
625	C₂²×C₄	—	86	4	no	—
626	C₂²×C₄	—	86	4	no	—
627	C₂²×C₄	—	344	4	no	—
628	C₂²×C₄	—	344	8	no	—
629	C₂²×C₄	D₄×D₄₃	1	2	yes	—
630	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
631	Q₁₆	C₂×C₄×D₄₃	1	4	yes	complemented
632	SD₁₆	—	43	16	no	—
633	SD₁₆	C₂×C₄×D₄₃	1	8	yes	complemented
634	D₈	—	43	16	no	—
635	D₈	—	43	8	no	—
636	D₈	—	43	8	no	—
637	D₈	C₂×C₄×D₄₃	1	4	yes	complemented
638	M₁₆	—	43	4	no	—
639	M₁₆	—	43	8	no	—
640	M₁₆	—	86	4	no	—
641	M₁₆	—	86	2	no	—
642	C₂×C₈	—	2	2	no	—
643	C₂×C₈	—	43	2	no	—
644	C₂×C₈	—	43	8	no	—
645	C₂×C₈	—	43	2	no	—
646	C₂×C₈	—	86	4	no	—
647	C₂×C₈	C₂×C₄×D₄₃	1	4	yes	complemented
648	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
649	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
650	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
651	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
652	C₄⋊C₄	—	2	2	no	—
653	C₄⋊C₄	—	2	2	no	—
654	C₄⋊C₄	—	43	4	no	—
655	C₄⋊C₄	—	43	2	no	—
656	C₄⋊C₄	—	43	4	no	—
657	C₄⋊C₄	—	86	4	no	—
658	C₄⋊C₄	—	86	4	no	—
659	C₄⋊C₄	—	86	2	no	—
660	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
661	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
662	C₂²⋊C₄	—	2	2	no	—
663	C₂²⋊C₄	—	2	2	no	—
664	C₂²⋊C₄	—	2	2	no	—
665	C₂²⋊C₄	—	43	2	no	—
666	C₂²⋊C₄	—	43	4	no	—
667	C₂²⋊C₄	—	86	4	no	—
668	C₂²⋊C₄	—	86	4	no	—
669	C₂²⋊C₄	—	86	4	no	—
670	C₂²⋊C₄	—	86	4	no	—
671	C₂²⋊C₄	—	86	4	no	—
672	C₂²⋊C₄	—	86	4	no	—
673	C₄²	—	2	2	no	—
674	C₄²	—	2	2	no	—
675	C₄²	—	2	2	no	—
676	C₄²	—	43	4	no	—
677	C₄²	—	43	2	no	—
678	C₄²	—	86	4	no	—
679	C₄²	—	86	4	no	—
680	C₄²	D₄×D₄₃	1	2	yes	—
681	C₄²	C₂³×D₄₃	1	1	yes	characteristic
682	C₄²	C₂³×D₄₃	1	1	yes	characteristic
683	C₂³	—	2	2	no	—
684	C₂³	—	43	2	no	—
685	C₂³	—	86	16	no	—
686	C₂³	—	86	8	no	—
687	C₂³	—	86	4	no	—
688	C₂³	—	344	2	no	—
689	C₂³	—	344	2	no	—
690	C₂³	—	344	4	no	—
691	C₂³	—	344	4	no	—
692	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
693	Q₈	—	2	2	no	—
694	Q₈	—	43	4	no	—
695	Q₈	C₂²×C₄×D₄₃	1	4	yes	—
696	D₄	—	2	8	no	—
697	D₄	—	2	2	no	—
698	D₄	—	43	8	no	—
699	D₄	—	43	4	no	—
700	D₄	—	43	8	no	—
701	D₄	—	86	16	no	—
702	D₄	—	86	16	no	—
703	D₄	—	86	8	no	—
704	D₄	—	86	4	no	—
705	D₄	C₂²×C₄×D₄₃	1	4	yes	—
706	C₂×C₄	—	2	2	no	—
707	C₂×C₄	—	2	8	no	—
708	C₂×C₄	—	2	2	no	—
709	C₂×C₄	—	2	2	no	—
710	C₂×C₄	—	4	2	no	—
711	C₂×C₄	—	4	4	no	—
712	C₂×C₄	—	8	2	no	—
713	C₂×C₄	—	43	2	no	—
714	C₂×C₄	—	43	4	no	—
715	C₂×C₄	—	43	4	no	—
716	C₂×C₄	—	43	4	no	—
717	C₂×C₄	—	86	16	no	—
718	C₂×C₄	—	86	4	no	—
719	C₂×C₄	—	344	4	no	—
720	C₂×C₄	—	344	4	no	—
721	C₂×C₄	—	344	4	no	—
722	C₂×C₄	—	344	4	no	—
723	C₂×C₄	—	344	4	no	—
724	C₂×C₄	—	344	2	no	—
725	C₂×C₄	—	172	4	no	—
726	C₂×C₄	—	172	8	no	—
727	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
728	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
729	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
730	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
731	C₂×C₄	#41×D₄₃	1	2	yes	—
732	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
733	C₈	—	2	1	no	—
734	C₈	—	2	1	no	—
735	C₈	—	43	4	no	—
736	C₈	—	86	2	no	—
737	C₈	C₂²×C₄×D₄₃	1	2	yes	—
738	C₈	C₂²×C₄×D₄₃	1	2	yes	—
739	C₂²	—	2	2	no	—
740	C₂²	—	2	4	no	—
741	C₂²	—	4	2	no	—
742	C₂²	—	4	2	no	—
743	C₂²	—	43	4	no	—
744	C₂²	—	86	4	no	—
745	C₂²	—	86	8	no	—
746	C₂²	—	344	8	no	—
747	C₂²	—	344	16	no	—
748	C₂²	—	172	4	no	—
749	C₂²	—	172	4	no	—
750	C₂²	C₄×D₄×D₄₃	1	2	yes	—
751	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
752	C₄	—	2	2	no	—
753	C₄	—	2	2	no	—
754	C₄	—	2	4	no	—
755	C₄	—	4	2	no	—
756	C₄	—	4	2	no	—
757	C₄	—	43	4	no	—
758	C₄	—	86	4	no	—
759	C₄	—	172	4	no	—
760	C₄	C₄×D₄×D₄₃	1	2	yes	—
761	C₄	C₂³×C₄×D₄₃	1	1	yes	characteristic
762	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
763	C₂	—	2	2	no	—
764	C₂	—	4	4	no	—
765	C₂	—	86	4	no	—
766	C₂	—	172	8	no	—
767	C₂	C₂×C₄×D₄×D₄₃	1	1	yes	characteristic
768	C₂	#19149372	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator	C₄×C₄₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#2943	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	C₂×#14583701	C₂
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	#2943	D₄₃
hypocenter	C₄₃	#60176
LCS	G ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2943

Complements

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

N	H ≅ G/N	type
2. C₄×#13063371	C₂	semidirect
3. #19143479	C₂	semidirect
4. #19143475	C₂	semidirect
5. #19143446	C₂	semidirect
6. #19143444	C₂	semidirect
7. #19143430	C₂	semidirect
8. #19143426	C₂	semidirect
9. C₄×#13063350	C₂	semidirect
10. #19143400	C₂	semidirect
11. #19143394	C₂	semidirect
12. C₂×#14583012	C₂	semidirect
13. #442×D₄₃	C₂	semidirect
14. #19143187	C₂	semidirect
15. #19143117	C₂	semidirect
16. #19143020	C₂	semidirect
17. C₄₃×#2943	C₂	semidirect
19. #14583701	C₄	semidirect
27. #14583382	C₂²	semidirect
28. #14583381	C₂²	semidirect
32. #14583373	C₂²	semidirect
34. #14583371	C₂²	semidirect
35. C₄×#10621902	C₂²	semidirect
39. C₂×C₄×D₁₇₂	C₂²	semidirect
41. C₄×D₄×D₄₃	C₂²	semidirect
42. #14583012	C₂²	semidirect
43. #14583012	C₂²	semidirect
44. #14583012	C₂²	semidirect
45. #14583012	C₂²	semidirect
46. #14583011	C₂²	semidirect
47. #14583010	C₂²	semidirect
48. #14583010	C₂²	semidirect
49. #14583009	C₂²	semidirect
50. #14583008	C₂²	semidirect
51. #14583006	C₂²	semidirect
52. #14583002	C₂²	semidirect
53. #14582997	C₂²	semidirect
54. SD₁₆×Dic₄₃	C₂²	semidirect
55. C₄×#10621884	C₂²	semidirect
56. #14582984	C₂²	semidirect
57. #14582981	C₂²	semidirect
58. C₄×#10621882	C₂²	semidirect
59. #14582979	C₂²	semidirect
60. #14582942	C₂²	semidirect
61. #14582940	C₂²	semidirect
62. #14582934	C₂²	semidirect
63. C₂×#13063257	C₂²	semidirect
64. #106×D₄₃	C₂²	semidirect
65. #14582903	C₂²	semidirect
66. #14582902	C₂²	semidirect
67. #14582900	C₂²	semidirect
68. #14582899	C₂²	semidirect
69. #14582894	C₂²	semidirect
70. C₂×#13063247	C₂²	semidirect
71. #102×D₄₃	C₂²	semidirect
72. #14582856	C₂²	semidirect
73. #14582856	C₂²	semidirect
74. #14582854	C₂²	semidirect
75. #14582854	C₂²	semidirect
76. C₄×#10621877	C₂²	semidirect
77. #14582851	C₂²	semidirect
78. #97×D₄₃	C₂²	semidirect
80. C₄×#41×C₄₃	C₂²	semidirect
81. C₄₃×#442	C₂²	semidirect
82. C₄₃×#442	C₂²	semidirect
83. C₄₃×#441	C₂²	semidirect
84. C₄₃×#441	C₂²	semidirect
85. C₄₃×#440	C₂²	semidirect
86. C₄₃×#440	C₂²	semidirect
87. C₄₃×#427	C₂²	semidirect
88. C₄₃×#416	C₂²	semidirect
89. C₂×#97×C₄₃	C₂²	semidirect
91. #13063371	C₂×C₄	semidirect
101. #13063352	C₂×C₄	semidirect
102. #13063350	C₂×C₄	semidirect
103. #13063348	C₂×C₄	semidirect
105. C₂×D₃₄₄	C₂×C₄	semidirect
109. D₈×D₄₃	C₂×C₄	semidirect
111. #13063331	C₂×C₄	semidirect
177. #135×C₄₃	C₂×C₄	semidirect
207. #41×C₄₃	C₂²×C₄	semidirect
221. #10621902	C₂²×C₄	semidirect
224. D₄×D₄₃	C₂²×C₄	semidirect
232. C₂×D₁₇₂	C₂²×C₄	semidirect
246. Q₁₆×C₄₃	C₂²×C₄	semidirect
247. SD₁₆×C₄₃	C₂²×C₄	semidirect
248. D₈×C₄₃	C₂²×C₄	semidirect
250. C₂×C₈×C₄₃	C₂²×C₄	semidirect
270. #10621884	C₂²×C₄	semidirect
271. #10621882	C₂²×C₄	semidirect
289. #10621877	C₂²×C₄	semidirect
292. D₃₄₄	C₂²×C₄	semidirect
293. D₃₄₄	C₂²×C₄	semidirect
295. #10621872	C₂²×C₄	semidirect
297. C₈×D₄₃	C₂²×C₄	semidirect
390. #2943	D₄₃	semidirect
423. C₄×#41	C₂×D₄₃	semidirect
437. #442	C₂×D₄₃	semidirect
438. #442	C₂×D₄₃	semidirect
440. #441	C₂×D₄₃	semidirect
441. #441	C₂×D₄₃	semidirect
444. #440	C₂×D₄₃	semidirect
445. #440	C₂×D₄₃	semidirect
455. #427	C₂×D₄₃	semidirect
463. #416	C₂×D₄₃	semidirect
473. C₂×#97	C₂×D₄₃	semidirect
474. C₄₃	#60176	semidirect
490. #135	C₄×D₄₃	semidirect
597. #41	C₂×C₄×D₄₃	semidirect
631. Q₁₆	C₂×C₄×D₄₃	semidirect
633. SD₁₆	C₂×C₄×D₄₃	semidirect
637. D₈	C₂×C₄×D₄₃	semidirect
647. C₂×C₈	C₂×C₄×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583701	2
C₄×#13063371	2
#19143479	2
#19143475	2
#19143446	2
#19143444	2
#19143430	2
#19143426	2
C₄×#13063350	2
#19143400	2
#19143394	2
C₂×#14583012	2
#442×D₄₃	2
#19143187	2
#19143117	2
#19143020	2
C₄₃×#2943	2
#60176	43