Subgroups — D₄₃×#3458 #26003437

Order 11008.

7022 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148000	C₂	1	3	yes	maximal, complemented
2	#19147999	C₂	1	12	yes	maximal, complemented
3	#19147998	C₂	1	12	yes	maximal, complemented
4	#19147997	C₂	1	4	yes	maximal, complemented
5	#544×D₄₃	C₂	1	12	yes	maximal, complemented
6	#543×D₄₃	C₂	1	4	yes	maximal
7	#533×D₄₃	C₂	1	12	yes	maximal, complemented
8	C₂×#117×D₄₃	C₂	1	3	yes	maximal
9	C₄₃×#3458	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
11	#14583530	C₂²	1	12	yes	complemented
12	#14583529	C₂²	1	48	yes	complemented
13	#14583528	C₂²	1	48	yes	complemented
14	#14583527	C₂²	1	24	yes	complemented
15	#14583526	C₂²	1	48	yes	complemented
16	#14583525	C₂²	1	12	yes	—
17	#14583524	C₂²	1	48	yes	—
18	#14583456	C₂²	1	12	yes	complemented
19	#14583455	C₂²	1	24	yes	complemented
20	#14583454	C₂²	1	24	yes	complemented
21	#14583453	C₂²	1	48	yes	complemented
22	#14583452	C₂²	1	24	yes	complemented
23	#14583451	C₂²	1	48	yes	complemented
24	C₄⋊Q₈×D₄₃	C₂²	1	24	yes	complemented
25	#125×D₄₃	C₂²	1	24	yes	complemented
26	C₂²⋊Q₈×D₄₃	C₂²	1	48	yes	—
27	C₄×Q₈×D₄₃	C₂²	1	16	yes	complemented
28	C₂×#13063284	C₂²	1	3	yes	—
29	C₂×#13063283	C₂²	1	6	yes	—
30	C₂×#13063282	C₂²	1	6	yes	—
31	C₂×#13063281	C₂²	1	6	yes	—
32	#117×D₄₃	C₂²	1	12	yes	—
33	#117×D₄₃	C₂²	1	12	yes	—
34	#117×D₄₃	C₂²	1	12	yes	—
35	#117×D₄₃	C₂²	1	12	yes	—
36	C₂×C₄⋊C₄×D₄₃	C₂²	1	6	yes	—
37	C₂×C₂²⋊C₄×D₄₃	C₂²	1	6	yes	—
38	C₂×C₄²×D₄₃	C₂²	1	6	yes	—
39	C₄₃×#544	C₂²	1	12	yes	complemented
40	C₄₃×#543	C₂²	1	4	yes	—
41	C₄₃×#533	C₂²	1	12	yes	complemented
42	C₂×#117×C₄₃	C₂²	1	3	yes	—
43	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
44	C₂×Q₈×D₄₃	C₂³	1	16	yes	—
45	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
46	C₂²×C₄×D₄₃	Q₈	1	16	yes	complemented
47	C₂²×C₄×D₄₃	C₂³	1	12	yes	—
48	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
49	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
50	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
51	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
52	#13063325	C₂³	1	24	yes	complemented
53	#13063324	C₂³	1	48	yes	complemented
54	#13063324	C₂³	1	48	yes	complemented
55	#13063323	C₂³	1	48	yes	complemented
56	#13063317	C₂³	1	24	yes	complemented
57	#13063316	C₂³	1	48	yes	complemented
58	#13063315	C₂³	1	96	yes	complemented
59	#13063305	C₂³	1	48	yes	—
60	#13063304	C₂³	1	48	yes	—
61	#13063303	C₂³	1	96	yes	—
62	#13063302	C₂³	1	96	yes	—
63	#13063301	C₂³	1	48	yes	—
64	Q₈×Dic₄₃	C₂³	1	16	yes	complemented
65	C₄×Dic₈₆	C₂³	1	48	yes	complemented
66	#13063290	C₂³	1	48	yes	complemented
67	#13063284	C₂³	1	12	yes	—
68	#13063284	C₂³	1	12	yes	—
69	#13063283	C₂³	1	24	yes	—
70	#13063283	C₂³	1	24	yes	—
71	#13063282	C₂³	1	24	yes	—
72	#13063282	C₂³	1	24	yes	—
73	#13063281	C₂³	1	24	yes	—
74	#13063281	C₂³	1	24	yes	—
75	C₂×C₄⋊Dic₄₃	C₂³	1	6	yes	—
76	C₂×Dic₄₃⋊C₄	C₂³	1	12	yes	—
77	C₄⋊C₄×D₄₃	C₂³	1	24	yes	—
78	C₄⋊C₄×D₄₃	C₂³	1	24	yes	—
79	C₄⋊C₄×D₄₃	C₂³	1	48	yes	—
80	C₂×C₂²⋊Dic₄₃	C₂³	1	6	yes	—
81	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	12	yes	—
82	C₂²⋊C₄×D₄₃	C₂³	1	24	yes	—
83	C₂²⋊C₄×D₄₃	C₂³	1	24	yes	—
84	C₂×C₄×Dic₄₃	C₂³	1	12	yes	—
85	C₂×C₄×Dic₄₃	C₂³	1	6	yes	—
86	C₄²×D₄₃	C₂³	1	12	yes	—
87	C₄²×D₄₃	C₂³	1	12	yes	—
88	C₄²×D₄₃	C₂³	1	12	yes	—
89	C₄²×D₄₃	C₂³	1	12	yes	—
90	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
91	C₄⋊Q₈×C₄₃	C₂³	1	24	yes	complemented
92	#125×C₄₃	C₂³	1	24	yes	complemented
93	C₂²⋊Q₈×C₄₃	C₂³	1	48	yes	—
94	C₄×Q₈×C₄₃	C₂³	1	16	yes	complemented
95	#117×C₄₃	C₂³	1	12	yes	—
96	#117×C₄₃	C₂³	1	12	yes	—
97	C₂×C₄⋊C₄×C₄₃	C₂³	1	6	yes	—
98	C₂×C₂²⋊C₄×C₄₃	C₂³	1	6	yes	—
99	C₂×C₄²×C₄₃	C₂³	1	6	yes	—
100	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
101	C₂³×D₄₃	—	4	4	no	—
102	C₂³×D₄₃	C₂×Q₈	1	8	yes	—
103	C₂³×D₄₃	C₂⁴	1	3	yes	—
104	C₂³×D₄₃	C₂⁴	1	3	yes	—
105	C₂×Q₈×C₄₃	C₂⁴	1	16	yes	—
106	C₂²×C₄×C₄₃	C₂×Q₈	1	8	yes	complemented
107	C₂²×C₄×C₄₃	C₂⁴	1	12	yes	—
108	C₂²×C₄×C₄₃	C₂⁴	1	3	yes	—
109	C₂²×C₄×C₄₃	C₂⁴	1	3	yes	—
110	C₂²×Dic₄₃	C₂×Q₈	1	8	yes	complemented
111	C₂²×Dic₄₃	C₂⁴	1	12	yes	—
112	C₂²×Dic₄₃	C₂⁴	1	3	yes	—
113	C₂²×Dic₄₃	C₂⁴	1	3	yes	—
114	Q₈×D₄₃	—	4	32	no	—
115	C₂×C₄×D₄₃	—	4	24	no	—
116	C₂×C₄×D₄₃	C₂×Q₈	1	24	yes	—
117	C₂×C₄×D₄₃	C₂×Q₈	1	24	yes	—
118	C₂×C₄×D₄₃	C₂×Q₈	1	24	yes	complemented
119	C₂×C₄×D₄₃	C₂×Q₈	1	24	yes	complemented
120	C₂×C₄×D₄₃	C₂⁴	1	24	yes	—
121	C₂×C₄×D₄₃	C₂⁴	1	24	yes	—
122	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
123	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
124	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
125	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
126	C₂×C₄×D₄₃	C₂⁴	1	6	yes	—
127	C₂×Dic₈₆	C₂⁴	1	48	yes	—
128	C₄⋊C₄×C₄₃	C₂⁴	1	24	yes	—
129	C₄⋊C₄×C₄₃	C₂⁴	1	48	yes	—
130	C₂²⋊C₄×C₄₃	C₂⁴	1	24	yes	—
131	C₄²×C₄₃	C₂⁴	1	12	yes	—
132	C₄²×C₄₃	C₂⁴	1	12	yes	—
133	C₂²⋊Dic₄₃	C₂⁴	1	24	yes	—
134	(C₂×D₄₃)⋊C₄	C₂⁴	1	48	yes	—
135	C₄⋊Dic₄₃	C₂⁴	1	24	yes	—
136	C₄⋊Dic₄₃	C₂⁴	1	48	yes	—
137	Dic₄₃⋊C₄	C₂⁴	1	48	yes	—
138	Dic₄₃⋊C₄	C₂⁴	1	96	yes	—
139	C₄×Dic₄₃	C₂⁴	1	24	yes	—
140	C₄×Dic₄₃	C₂⁴	1	24	yes	—
141	C₄×Dic₄₃	C₂⁴	1	12	yes	—
142	C₄×Dic₄₃	C₂⁴	1	12	yes	—
143	C₂³×C₄₃	—	4	2	no	—
144	C₂³×C₄₃	C₂²×Q₈	1	4	yes	—
145	C₂³×C₄₃	C₂⁵	1	3	yes	—
146	C₂²×D₄₃	—	2	12	no	—
147	C₂²×D₄₃	—	4	16	no	—
148	C₂²×D₄₃	—	4	6	no	—
149	C₂²×D₄₃	C₂²×Q₈	1	12	yes	—
150	C₂²×D₄₃	C₂²×Q₈	1	12	yes	—
151	C₂²×D₄₃	C₂⁵	1	3	yes	—
152	C₂²×D₄₃	C₂⁵	1	1	yes	characteristic
153	Q₈×C₄₃	—	4	16	no	—
154	C₂×C₄×C₄₃	—	4	12	no	—
155	C₂×C₄×C₄₃	C₂²×Q₈	1	12	yes	—
156	C₂×C₄×C₄₃	C₂²×Q₈	1	12	yes	—
157	C₂×C₄×C₄₃	C₂⁵	1	24	yes	—
158	C₂×C₄×C₄₃	C₂⁵	1	3	yes	—
159	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
160	C₂×Dic₄₃	—	4	12	no	—
161	C₂×Dic₄₃	C₂²×Q₈	1	12	yes	—
162	C₂×Dic₄₃	C₂²×Q₈	1	12	yes	—
163	C₂×Dic₄₃	C₂⁵	1	24	yes	—
164	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
165	C₂×Dic₄₃	C₂⁵	1	3	yes	—
166	C₄×D₄₃	—	2	48	no	—
167	C₄×D₄₃	—	4	24	no	—
168	C₄×D₄₃	C₂²×Q₈	1	4	yes	—
169	C₄×D₄₃	C₂²×Q₈	1	12	yes	—
170	C₄×D₄₃	C₂²×Q₈	1	12	yes	—
171	C₄×D₄₃	C₂²×Q₈	1	12	yes	—
172	C₄×D₄₃	C₂²×Q₈	1	24	yes	—
173	Dic₈₆	—	4	48	no	—
174	C₂×#3458	—	43	1	no	maximal, Sylow
175	C₂²×C₄₃	—	2	6	no	—
176	C₂²×C₄₃	—	4	4	no	—
177	C₂²×C₄₃	C₂³×Q₈	1	6	yes	—
178	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
179	C₂×D₄₃	—	2	6	no	—
180	C₂×D₄₃	—	2	24	no	—
181	C₂×D₄₃	—	4	12	no	—
182	C₂×D₄₃	C₂³×Q₈	1	6	yes	—
183	C₂×D₄₃	C₂³×Q₈	1	2	yes	—
184	C₂×D₄₃	#585	1	4	yes	—
185	C₄×C₄₃	—	2	24	no	—
186	C₄×C₄₃	C₂³×Q₈	1	6	yes	—
187	C₄×C₄₃	C₂³×Q₈	1	2	yes	—
188	Dic₄₃	—	2	24	no	—
189	Dic₄₃	C₂³×Q₈	1	2	yes	—
190	Dic₄₃	C₂³×Q₈	1	6	yes	—
191	#3458	—	43	12	no	—
192	#3458	—	43	4	no	—
193	#3458	—	43	12	no	—
194	#3458	—	43	3	no	—
195	#3458	D₄₃	1	1	yes	characteristic, direct product factor
196	C₂×#544	—	43	12	no	—
197	C₂×#543	—	43	4	no	—
198	C₂×#533	—	43	12	no	—
199	C₂²×#117	—	43	3	no	—
200	C₂×C₄₃	—	2	6	no	—
201	C₂×C₄₃	C₂⁴×Q₈	1	1	yes	characteristic
202	C₂×C₄₃	C₂×#585	1	2	yes	—
203	D₄₃	—	2	6	no	—
204	D₄₃	#3458	1	4	yes	direct product factor
205	C₂⁴×C₄	—	43	1	no	—
206	#544	—	43	48	no	—
207	#544	—	43	48	no	—
208	#544	—	43	48	no	—
209	#544	—	43	24	no	—
210	#544	—	43	12	no	—
211	#544	C₂×D₄₃	1	12	yes	complemented
212	#543	—	43	48	no	—
213	#543	—	43	12	no	—
214	#543	C₂×D₄₃	1	4	yes	—
215	#533	—	43	24	no	—
216	#533	—	43	24	no	—
217	#533	—	43	48	no	—
218	#533	—	43	48	no	—
219	#533	—	43	24	no	—
220	#533	—	43	12	no	—
221	#533	C₂×D₄₃	1	12	yes	complemented
222	C₂×C₄⋊Q₈	—	43	24	no	—
223	C₂×#125	—	43	24	no	—
224	C₂×C₂²⋊Q₈	—	43	48	no	—
225	C₂×C₄×Q₈	—	43	16	no	—
226	C₂×#117	—	43	3	no	—
227	C₂×#117	—	43	12	no	—
228	C₂×#117	—	43	12	no	—
229	C₂×#117	—	43	12	no	—
230	C₂×#117	—	43	12	no	—
231	C₂×#117	—	43	6	no	—
232	C₂×#117	—	43	6	no	—
233	C₂×#117	—	43	6	no	—
234	C₂×#117	C₂×D₄₃	1	3	yes	—
235	C₂²×C₄⋊C₄	—	43	6	no	—
236	C₂²×C₂²⋊C₄	—	43	6	no	—
237	C₂²×C₄²	—	43	6	no	—
238	C₄₃	C₂×#3458	1	1	yes	characteristic, complemented, Sylow
239	C₂⁵	—	43	1	no	—
240	C₂²×Q₈	—	43	16	no	—
241	C₂³×C₄	—	43	1	no	—
242	C₂³×C₄	—	43	16	no	—
243	C₂³×C₄	—	43	3	no	—
244	C₂³×C₄	—	43	3	no	—
245	C₂³×C₄	—	43	3	no	—
246	C₂³×C₄	—	43	3	no	—
247	C₂³×C₄	—	43	12	no	—
248	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
249	C₄⋊Q₈	—	43	48	no	—
250	C₄⋊Q₈	—	43	48	no	—
251	C₄⋊Q₈	—	43	48	no	—
252	C₄⋊Q₈	—	43	24	no	—
253	C₄⋊Q₈	C₂²×D₄₃	1	24	yes	complemented
254	#125	—	43	96	no	—
255	#125	—	43	48	no	—
256	#125	—	43	24	no	—
257	#125	C₂²×D₄₃	1	24	yes	complemented
258	C₂²⋊Q₈	—	43	48	no	—
259	C₂²⋊Q₈	—	43	48	no	—
260	C₂²⋊Q₈	—	43	96	no	—
261	C₂²⋊Q₈	—	43	48	no	—
262	C₂²⋊Q₈	—	43	96	no	—
263	C₂²⋊Q₈	C₂²×D₄₃	1	48	yes	—
264	C₄×Q₈	—	43	16	no	—
265	C₄×Q₈	—	43	48	no	—
266	C₄×Q₈	—	43	48	no	—
267	C₄×Q₈	C₂²×D₄₃	1	16	yes	complemented
268	#117	—	43	12	no	—
269	#117	—	43	12	no	—
270	#117	—	43	24	no	—
271	#117	—	43	24	no	—
272	#117	—	43	24	no	—
273	#117	—	43	24	no	—
274	#117	—	43	24	no	—
275	#117	—	43	24	no	—
276	#117	C₂²×D₄₃	1	12	yes	—
277	#117	C₂²×D₄₃	1	12	yes	—
278	C₂×C₄⋊C₄	—	43	12	no	—
279	C₂×C₄⋊C₄	—	43	6	no	—
280	C₂×C₄⋊C₄	—	43	24	no	—
281	C₂×C₄⋊C₄	—	43	24	no	—
282	C₂×C₄⋊C₄	—	43	48	no	—
283	C₂×C₄⋊C₄	C₂²×D₄₃	1	6	yes	—
284	C₂×C₂²⋊C₄	—	43	6	no	—
285	C₂×C₂²⋊C₄	—	43	12	no	—
286	C₂×C₂²⋊C₄	—	43	24	no	—
287	C₂×C₂²⋊C₄	—	43	24	no	—
288	C₂×C₂²⋊C₄	C₂²×D₄₃	1	6	yes	—
289	C₂×C₄²	—	43	12	no	—
290	C₂×C₄²	—	43	6	no	—
291	C₂×C₄²	—	43	12	no	—
292	C₂×C₄²	—	43	12	no	—
293	C₂×C₄²	—	43	12	no	—
294	C₂×C₄²	—	43	12	no	—
295	C₂×C₄²	C₂²×D₄₃	1	6	yes	—
296	C₂⁴	—	43	3	no	—
297	C₂⁴	—	43	8	no	—
298	C₂⁴	—	43	3	no	—
299	C₂⁴	—	172	4	no	—
300	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
301	C₂×Q₈	—	43	48	no	—
302	C₂×Q₈	—	172	32	no	—
303	C₂×Q₈	C₂³×D₄₃	1	16	yes	—
304	C₂²×C₄	—	43	8	no	—
305	C₂²×C₄	—	43	3	no	—
306	C₂²×C₄	—	43	3	no	—
307	C₂²×C₄	—	43	24	no	—
308	C₂²×C₄	—	43	24	no	—
309	C₂²×C₄	—	43	24	no	—
310	C₂²×C₄	—	43	24	no	—
311	C₂²×C₄	—	43	3	no	—
312	C₂²×C₄	—	43	3	no	—
313	C₂²×C₄	—	43	6	no	—
314	C₂²×C₄	—	43	1	no	—
315	C₂²×C₄	—	43	3	no	—
316	C₂²×C₄	—	43	12	no	—
317	C₂²×C₄	—	43	24	no	—
318	C₂²×C₄	—	43	24	no	—
319	C₂²×C₄	—	172	24	no	—
320	C₂²×C₄	Q₈×D₄₃	1	8	yes	complemented
321	C₂²×C₄	C₂³×D₄₃	1	12	yes	—
322	C₂²×C₄	C₂³×D₄₃	1	3	yes	—
323	C₂²×C₄	C₂³×D₄₃	1	3	yes	—
324	C₄⋊C₄	—	43	48	no	—
325	C₄⋊C₄	—	43	24	no	—
326	C₄⋊C₄	—	43	96	no	—
327	C₄⋊C₄	—	43	48	no	—
328	C₄⋊C₄	C₂³×D₄₃	1	24	yes	—
329	C₄⋊C₄	C₂³×D₄₃	1	48	yes	—
330	C₂²⋊C₄	—	43	24	no	—
331	C₂²⋊C₄	—	43	48	no	—
332	C₂²⋊C₄	C₂³×D₄₃	1	24	yes	—
333	C₄²	—	43	24	no	—
334	C₄²	—	43	24	no	—
335	C₄²	—	43	12	no	—
336	C₄²	—	43	12	no	—
337	C₄²	C₂³×D₄₃	1	12	yes	—
338	C₄²	C₂³×D₄₃	1	12	yes	—
339	C₂³	—	4	2	no	—
340	C₂³	—	43	1	no	—
341	C₂³	—	43	12	no	—
342	C₂³	—	43	3	no	—
343	C₂³	—	43	12	no	—
344	C₂³	—	86	12	no	—
345	C₂³	—	172	6	no	—
346	C₂³	—	172	16	no	—
347	C₂³	C₂×Q₈×D₄₃	1	4	yes	—
348	C₂³	C₂⁴×D₄₃	1	3	yes	—
349	Q₈	—	4	16	no	—
350	Q₈	—	172	48	no	—
351	C₂×C₄	—	4	12	no	—
352	C₂×C₄	—	43	12	no	—
353	C₂×C₄	—	43	12	no	—
354	C₂×C₄	—	43	1	no	—
355	C₂×C₄	—	43	3	no	—
356	C₂×C₄	—	43	12	no	—
357	C₂×C₄	—	43	12	no	—
358	C₂×C₄	—	43	24	no	—
359	C₂×C₄	—	43	4	no	—
360	C₂×C₄	—	43	12	no	—
361	C₂×C₄	—	43	24	no	—
362	C₂×C₄	—	86	48	no	—
363	C₂×C₄	—	172	24	no	—
364	C₂×C₄	—	172	12	no	—
365	C₂×C₄	C₂×Q₈×D₄₃	1	12	yes	—
366	C₂×C₄	C₂×Q₈×D₄₃	1	12	yes	—
367	C₂×C₄	C₂⁴×D₄₃	1	24	yes	—
368	C₂×C₄	C₂⁴×D₄₃	1	3	yes	—
369	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
370	C₂²	—	2	6	no	—
371	C₂²	—	4	4	no	—
372	C₂²	—	43	2	no	—
373	C₂²	—	43	4	no	—
374	C₂²	—	43	6	no	—
375	C₂²	—	86	24	no	—
376	C₂²	—	86	6	no	—
377	C₂²	—	172	12	no	—
378	C₂²	C₂²×Q₈×D₄₃	1	6	yes	—
379	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
380	C₄	—	2	24	no	—
381	C₄	—	43	2	no	—
382	C₄	—	43	6	no	—
383	C₄	—	86	24	no	—
384	C₄	C₂²×Q₈×D₄₃	1	6	yes	—
385	C₄	C₂²×Q₈×D₄₃	1	2	yes	—
386	C₂	—	2	6	no	—
387	C₂	—	43	4	no	—
388	C₂	—	86	6	no	—
389	C₂	C₂³×Q₈×D₄₃	1	1	yes	characteristic
390	C₂	#585×D₄₃	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₄₃×#3458	C₂
prime radical	C₂⁴×D₄₃	C₂³
hypercenter	#3458	D₄₃
hypocenter	C₄₃	C₂×#3458
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ #3458

Complements

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

N	H ≅ G/N	type
1. #19148000	C₂	semidirect
2. #19147999	C₂	semidirect
3. #19147998	C₂	semidirect
4. #19147997	C₂	semidirect
5. #544×D₄₃	C₂	semidirect
7. #533×D₄₃	C₂	semidirect
9. C₄₃×#3458	C₂	semidirect
11. #14583530	C₂²	semidirect
12. #14583529	C₂²	semidirect
13. #14583528	C₂²	semidirect
14. #14583527	C₂²	semidirect
15. #14583526	C₂²	semidirect
18. #14583456	C₂²	semidirect
19. #14583455	C₂²	semidirect
20. #14583454	C₂²	semidirect
21. #14583453	C₂²	semidirect
22. #14583452	C₂²	semidirect
23. #14583451	C₂²	semidirect
24. C₄⋊Q₈×D₄₃	C₂²	semidirect
25. #125×D₄₃	C₂²	semidirect
27. C₄×Q₈×D₄₃	C₂²	semidirect
39. C₄₃×#544	C₂²	semidirect
41. C₄₃×#533	C₂²	semidirect
46. C₂²×C₄×D₄₃	Q₈	semidirect
52. #13063325	C₂³	semidirect
53. #13063324	C₂³	semidirect
54. #13063324	C₂³	semidirect
55. #13063323	C₂³	semidirect
56. #13063317	C₂³	semidirect
57. #13063316	C₂³	semidirect
58. #13063315	C₂³	semidirect
64. Q₈×Dic₄₃	C₂³	semidirect
65. C₄×Dic₈₆	C₂³	semidirect
66. #13063290	C₂³	semidirect
91. C₄⋊Q₈×C₄₃	C₂³	semidirect
92. #125×C₄₃	C₂³	semidirect
94. C₄×Q₈×C₄₃	C₂³	semidirect
106. C₂²×C₄×C₄₃	C₂×Q₈	semidirect
110. C₂²×Dic₄₃	C₂×Q₈	semidirect
118. C₂×C₄×D₄₃	C₂×Q₈	semidirect
119. C₂×C₄×D₄₃	C₂×Q₈	semidirect
195. #3458	D₄₃	direct (N × H)
204. D₄₃	#3458	direct (N × H)
211. #544	C₂×D₄₃	semidirect
221. #533	C₂×D₄₃	semidirect
238. C₄₃	C₂×#3458	semidirect
253. C₄⋊Q₈	C₂²×D₄₃	semidirect
257. #125	C₂²×D₄₃	semidirect
267. C₄×Q₈	C₂²×D₄₃	semidirect
320. C₂²×C₄	Q₈×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#19148000	2
#19147999	2
#19147998	2
#19147997	2
#544×D₄₃	2
#543×D₄₃	2
#533×D₄₃	2
C₂×#117×D₄₃	2
C₄₃×#3458	2
C₂×#3458	43

Subgroups — D43×#3458 #26003437

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#3458 #26003437