Subgroups — #25251335

Order 11008.

524 conjugacy classes of subgroups.

The subgroup lattice has 438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145104	C₂	1	1	yes	maximal, characteristic, complemented
2	#443×D₄₃	C₂	1	1	yes	maximal, characteristic
3	#19136770	C₂	1	2	yes	maximal, complemented
4	#19136769	C₂	1	2	yes	maximal, complemented
5	#19136767	C₂	1	1	yes	maximal, characteristic, complemented
6	#19136766	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136763	C₂	1	1	yes	maximal, characteristic, complemented
8	#19136366	C₂	1	2	yes	maximal, complemented
9	#364×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
10	#19136329	C₂	1	2	yes	maximal
11	C₄₃×#2230	C₂	1	1	yes	maximal, characteristic, complemented
12	#135×D₄₃	C₂²	1	1	yes	characteristic
13	#131×D₄₃	—	2	1	no	—
14	#14583454	—	2	1	no	—
15	M₃₂×D₄₃	C₂²	1	2	yes	—
16	#14583302	—	2	1	no	—
17	#14583299	—	2	1	no	—
18	#14583299	C₂²	1	2	yes	complemented
19	#14583297	C₂²	1	1	yes	characteristic, complemented
20	#14583017	C₂²	1	1	yes	characteristic
21	#14583016	C₂²	1	1	yes	characteristic
22	#14583015	C₂²	1	1	yes	characteristic
23	#14583014	—	2	1	no	—
24	#14583013	—	2	1	no	—
25	#108×D₄₃	C₂²	1	1	yes	characteristic
26	#14582934	—	2	1	no	—
27	#14582934	C₂²	1	2	yes	—
28	#104×D₄₃	—	2	1	no	—
29	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
30	#14582723	C₂²	1	2	yes	complemented
31	#14582722	C₂²	1	2	yes	complemented
32	#14582721	C₂²	1	2	yes	complemented
33	#14582720	C₂²	1	1	yes	characteristic, complemented
34	#14582719	C₂²	1	2	yes	complemented
35	#14582710	C₂²	1	2	yes	—
36	#14582709	C₂²	1	2	yes	—
37	#14582708	C₂²	1	2	yes	—
38	C₄₃×#498	C₂²	1	1	yes	characteristic, complemented
39	C₄₃×#443	C₂²	1	1	yes	characteristic
40	C₄₃×#365	C₂²	1	2	yes	complemented
41	C₄₃×#364	C₂²	1	1	yes	characteristic, complemented
42	C₄₃×#360	C₂²	1	2	yes	—
43	#41×D₄₃	—	2	1	no	—
44	#13063348	Q₈	1	1	yes	characteristic, complemented
45	#13063347	C₂³	1	1	yes	characteristic
46	#13063346	—	2	1	no	—
47	#13063345	—	2	1	no	—
48	#13063344	Q₈	1	1	yes	characteristic, complemented
49	Q₁₆×D₄₃	Q₈	1	1	yes	characteristic, complemented
50	SD₁₆×D₄₃	—	2	1	no	—
51	D₈×D₄₃	Q₈	1	1	yes	characteristic, complemented
52	#13063333	—	2	1	no	—
53	#13063333	—	4	1	no	—
54	#13063332	—	2	1	no	—
55	#13063331	—	2	1	no	—
56	#13063331	—	4	1	no	—
57	M₁₆×D₄₃	—	2	1	no	—
58	M₁₆×D₄₃	—	4	1	no	—
59	C₂×C₈×D₄₃	—	4	1	no	—
60	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
61	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
62	#13063325	—	2	1	no	—
63	#13063316	—	2	2	no	—
64	#13063305	—	4	1	no	—
65	#13063301	—	4	1	no	—
66	Q₈×Dic₄₃	—	4	1	no	—
67	#13063290	—	4	1	no	—
68	#13063283	—	2	2	no	—
69	C₄²×D₄₃	D₄	1	1	yes	characteristic
70	#13063265	C₂³	1	2	yes	—
71	#13063264	—	2	2	no	—
72	C₁₆×D₄₃	—	2	2	no	—
73	#13063261	C₂³	1	1	yes	characteristic
74	#13063260	—	2	1	no	—
75	#13063258	—	2	2	no	—
76	#13063258	—	2	2	no	—
77	#13063257	—	2	1	no	—
78	#13063257	C₂³	1	2	yes	—
79	#13063253	—	2	1	no	—
80	#13063252	—	2	1	no	—
81	#13063251	—	2	1	no	—
82	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
83	C₈×Dic₄₃	D₄	1	1	yes	characteristic
84	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
85	#135×C₄₃	C₂³	1	1	yes	characteristic
86	#131×C₄₃	—	2	1	no	—
87	C₄⋊Q₈×C₄₃	—	2	1	no	—
88	M₃₂×C₄₃	C₂³	1	2	yes	—
89	#108×C₄₃	C₂³	1	1	yes	characteristic
90	#106×C₄₃	—	2	1	no	—
91	#106×C₄₃	C₂³	1	2	yes	—
92	#104×C₄₃	—	2	1	no	—
93	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
94	#41×C₄₃	—	2	1	no	—
95	C₂×Q₈×C₄₃	—	4	1	no	—
96	#10621902	—	2	1	no	—
97	Q₈×D₄₃	—	2	1	no	—
98	#10621900	—	2	1	no	—
99	#10621900	—	4	1	no	—
100	D₄×D₄₃	—	2	1	no	—
101	D₄×D₄₃	—	4	1	no	—
102	#10621898	—	2	1	no	—
103	#10621898	—	4	1	no	—
104	C₂×C₄×D₄₃	—	2	1	no	—
105	C₂×C₄×D₄₃	—	4	1	no	—
106	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
107	C₂×Dic₈₆	—	4	1	no	—
108	Q₁₆×C₄₃	C₂×Q₈	1	1	yes	characteristic
109	SD₁₆×C₄₃	—	2	1	no	—
110	D₈×C₄₃	C₂×Q₈	1	1	yes	characteristic
111	M₁₆×C₄₃	—	2	1	no	—
112	M₁₆×C₄₃	—	4	1	no	—
113	C₂×C₈×C₄₃	—	4	1	no	—
114	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
115	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
116	C₄⋊C₄×C₄₃	—	2	2	no	—
117	C₄⋊C₄×C₄₃	—	4	1	no	—
118	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
119	#10621885	—	2	1	no	—
120	#10621884	—	2	1	no	—
121	#10621883	—	2	1	no	—
122	#10621882	—	2	1	no	—
123	(C₂×D₄₃)⋊C₄	—	4	2	no	—
124	C₄⋊Dic₄₃	—	2	2	no	—
125	C₄⋊Dic₄₃	—	4	2	no	—
126	C₄⋊Dic₄₃	—	4	1	no	—
127	Dic₄₃⋊C₄	—	4	2	no	—
128	C₄×Dic₄₃	—	2	1	no	—
129	C₄×Dic₄₃	—	4	2	no	—
130	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
131	#10621877	—	2	1	no	—
132	#10621877	—	4	1	no	—
133	C₂×C₄₃⋊C₈	—	4	1	no	—
134	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
135	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
136	Dic₁₇₂	C₂×Q₈	1	1	yes	characteristic
137	D₃₄₄	C₂×Q₈	1	1	yes	characteristic
138	#10621873	—	2	1	no	—
139	#10621872	—	4	1	no	—
140	#10621872	—	4	1	no	—
141	#10621872	—	4	1	no	—
142	C₈×D₄₃	—	4	1	no	—
143	C₈×D₄₃	—	4	1	no	—
144	C₈×D₄₃	—	4	1	no	—
145	C₈×D₄₃	SD₁₆	1	1	yes	characteristic
146	C₈×D₄₃	SD₁₆	1	1	yes	characteristic
147	C₈×D₄₃	SD₁₆	1	1	yes	characteristic
148	C₈×D₄₃	SD₁₆	1	1	yes	characteristic
149	C₈×D₄₃	C₂×Q₈	1	1	yes	characteristic
150	C₈×D₄₃	C₂×Q₈	1	1	yes	characteristic
151	C₈×D₄₃	#41	1	1	yes	characteristic
152	C₈×D₄₃	#41	1	1	yes	characteristic
153	C₁₆×C₄₃	—	2	2	no	—
154	C₄₃⋊C₁₆	—	2	2	no	—
155	C₂²×D₄₃	—	4	1	no	—
156	C₂²×D₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
157	Q₈×C₄₃	—	2	1	no	—
158	Q₈×C₄₃	—	8	2	no	—
159	D₄×C₄₃	—	2	1	no	—
160	D₄×C₄₃	—	4	1	no	—
161	C₂×C₄×C₄₃	—	2	1	no	—
162	C₂×C₄×C₄₃	—	4	1	no	—
163	C₂×C₄×C₄₃	—	4	2	no	—
164	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
165	C₂²⋊D₄₃	—	4	1	no	—
166	C₂²⋊D₄₃	—	4	1	no	—
167	C₂²⋊D₄₃	—	4	1	no	—
168	C₂×Dic₄₃	—	2	1	no	—
169	C₂×Dic₄₃	—	4	1	no	—
170	C₂×Dic₄₃	—	4	2	no	—
171	C₂×Dic₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
172	D₁₇₂	—	2	1	no	—
173	D₁₇₂	—	4	1	no	—
174	C₄×D₄₃	—	4	2	no	—
175	C₄×D₄₃	—	4	1	no	—
176	C₄×D₄₃	—	4	1	no	—
177	C₄×D₄₃	—	4	1	no	—
178	C₄×D₄₃	C₂²⋊Q₈	1	1	yes	characteristic
179	C₄×D₄₃	C₂²⋊Q₈	1	1	yes	characteristic
180	C₄×D₄₃	C₂×SD₁₆	1	1	yes	characteristic
181	C₄×D₄₃	C₂×SD₁₆	1	1	yes	characteristic
182	Dic₈₆	—	2	1	no	—
183	Dic₈₆	—	4	1	no	—
184	Dic₈₆	—	8	2	no	—
185	C₈×C₄₃	—	4	1	no	—
186	C₈×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
187	C₈×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
188	C₈×C₄₃	C₂²×Q₈	1	1	yes	characteristic
189	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
190	C₄₃⋊C₈	—	4	1	no	—
191	C₄₃⋊C₈	C₂²⋊Q₈	1	1	yes	characteristic
192	C₄₃⋊C₈	C₂²⋊Q₈	1	1	yes	characteristic
193	C₄₃⋊C₈	C₂×SD₁₆	1	1	yes	characteristic
194	C₄₃⋊C₈	C₂×SD₁₆	1	1	yes	characteristic
195	#33637	—	43	1	no	maximal, Sylow
196	C₂²×C₄₃	—	4	1	no	—
197	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
198	C₂×D₄₃	—	4	1	no	—
199	C₂×D₄₃	—	4	1	no	—
200	C₂×D₄₃	—	8	2	no	—
201	C₂×D₄₃	#476	1	1	yes	characteristic
202	C₂×D₄₃	#476	1	1	yes	characteristic
203	C₄×C₄₃	—	2	2	no	—
204	C₄×C₄₃	—	4	1	no	—
205	C₄×C₄₃	—	8	2	no	—
206	C₄×C₄₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
207	C₄×C₄₃	C₂²×SD₁₆	1	1	yes	characteristic
208	Dic₄₃	—	4	1	no	—
209	Dic₄₃	—	4	1	no	—
210	Dic₄₃	—	8	2	no	—
211	Dic₄₃	#476	1	1	yes	characteristic
212	Dic₄₃	#476	1	1	yes	characteristic
213	#3160	—	43	1	no	—
214	C₂×#443	—	43	1	no	—
215	#2231	—	43	2	no	—
216	#2231	—	43	2	no	—
217	#2230	—	43	1	no	—
218	#2230	—	43	1	no	—
219	#2230	—	43	1	no	—
220	#2230	D₄₃	1	1	yes	characteristic, complemented
221	#2155	—	43	2	no	—
222	C₂×#364	—	43	1	no	—
223	#2145	—	43	2	no	—
224	C₂×C₄₃	—	2	1	no	—
225	C₂×C₄₃	—	8	1	no	—
226	C₂×C₄₃	C₂×#476	1	1	yes	characteristic
227	D₄₃	—	2	1	no	—
228	D₄₃	—	2	1	no	—
229	D₄₃	—	8	1	no	—
230	C₂×#135	—	43	1	no	—
231	C₂×#131	—	86	1	no	—
232	#533	—	86	1	no	—
233	C₂×M₃₂	—	43	2	no	—
234	#500	—	86	1	no	—
235	#499	—	43	2	no	—
236	#499	—	86	1	no	—
237	#498	—	43	1	no	—
238	#498	C₂×D₄₃	1	1	yes	characteristic, complemented
239	#443	—	43	1	no	—
240	#443	—	43	1	no	—
241	#443	—	43	1	no	—
242	#443	—	86	1	no	—
243	#443	—	86	1	no	—
244	#443	C₂×D₄₃	1	1	yes	characteristic
245	C₂×#108	—	43	1	no	—
246	#427	—	43	2	no	—
247	#427	—	86	1	no	—
248	C₂×#104	—	86	1	no	—
249	C₂×C₄×C₈	—	43	1	no	—
250	#365	—	43	2	no	—
251	#365	—	43	2	no	—
252	#365	—	43	2	no	—
253	#365	C₂×D₄₃	1	2	yes	complemented
254	#364	—	43	2	no	—
255	#364	—	43	1	no	—
256	#364	C₂×D₄₃	1	1	yes	characteristic, complemented
257	#360	—	43	2	no	—
258	#360	—	43	2	no	—
259	#360	—	43	2	no	—
260	#360	C₂×D₄₃	1	2	yes	—
261	C₄₃	#33637	1	1	yes	characteristic, complemented, Sylow
262	C₂×#41	—	86	1	no	—
263	#135	—	43	1	no	—
264	#135	—	43	1	no	—
265	#135	—	43	1	no	—
266	#135	—	86	1	no	—
267	#135	—	86	1	no	—
268	#135	C₂²×D₄₃	1	1	yes	characteristic
269	C₂×Q₁₆	—	43	1	no	—
270	C₂×SD₁₆	—	86	1	no	—
271	C₂×D₈	—	43	1	no	—
272	#131	—	2	1	no	—
273	#131	—	86	1	no	—
274	#131	—	86	1	no	—
275	#131	—	86	1	no	—
276	#131	—	172	1	no	—
277	#131	—	172	1	no	—
278	C₂×M₁₆	—	86	1	no	—
279	C₂×M₁₆	—	172	1	no	—
280	C₂²×C₈	—	43	1	no	—
281	C₂²×C₈	—	43	1	no	—
282	C₂²×C₈	—	172	1	no	—
283	C₄⋊Q₈	—	2	1	no	—
284	C₄⋊Q₈	—	86	1	no	—
285	#125	—	86	2	no	—
286	C₂²⋊Q₈	—	172	1	no	—
287	C₂²⋊Q₈	—	172	1	no	—
288	C₄×Q₈	—	172	1	no	—
289	C₄×Q₈	—	172	1	no	—
290	#117	—	86	2	no	—
291	C₂×C₄²	—	43	1	no	—
292	M₃₂	—	43	2	no	—
293	M₃₂	—	86	2	no	—
294	M₃₂	C₂²×D₄₃	1	2	yes	—
295	C₂×C₁₆	—	86	2	no	—
296	#108	—	43	1	no	—
297	#108	—	86	1	no	—
298	#108	C₂²×D₄₃	1	1	yes	characteristic
299	#107	—	86	2	no	—
300	#107	—	86	2	no	—
301	#106	—	2	1	no	—
302	#106	—	43	2	no	—
303	#106	—	86	1	no	—
304	#106	C₂²×D₄₃	1	2	yes	—
305	#104	—	2	1	no	—
306	#104	—	86	1	no	—
307	#104	—	86	1	no	—
308	#104	—	86	1	no	—
309	C₄×C₈	—	43	1	no	—
310	C₄×C₈	—	43	1	no	—
311	C₄×C₈	—	43	1	no	—
312	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
313	#41	—	2	1	no	—
314	#41	—	86	1	no	—
315	#41	—	86	1	no	—
316	#41	—	86	1	no	—
317	#41	—	172	1	no	—
318	#41	—	172	1	no	—
319	C₂×Q₈	—	4	1	no	—
320	C₂×Q₈	—	86	1	no	—
321	C₂×Q₈	—	172	1	no	—
322	C₂×D₄	—	86	1	no	—
323	C₂×D₄	—	172	1	no	—
324	C₂²×C₄	—	43	1	no	—
325	C₂²×C₄	—	86	1	no	—
326	C₂²×C₄	—	172	1	no	—
327	Q₁₆	—	43	1	no	—
328	Q₁₆	—	86	1	no	—
329	Q₁₆	Q₈×D₄₃	1	1	yes	characteristic
330	SD₁₆	—	2	1	no	—
331	SD₁₆	—	86	1	no	—
332	SD₁₆	—	86	1	no	—
333	SD₁₆	—	86	1	no	—
334	D₈	—	43	1	no	—
335	D₈	—	86	1	no	—
336	D₈	Q₈×D₄₃	1	1	yes	characteristic
337	M₁₆	—	2	1	no	—
338	M₁₆	—	4	1	no	—
339	M₁₆	—	86	1	no	—
340	M₁₆	—	172	1	no	—
341	M₁₆	—	172	1	no	—
342	M₁₆	—	172	1	no	—
343	M₁₆	—	172	1	no	—
344	C₂×C₈	—	4	1	no	—
345	C₂×C₈	—	43	1	no	—
346	C₂×C₈	—	43	1	no	—
347	C₂×C₈	—	43	1	no	—
348	C₂×C₈	—	43	1	no	—
349	C₂×C₈	—	43	1	no	—
350	C₂×C₈	—	43	1	no	—
351	C₂×C₈	—	43	1	no	—
352	C₂×C₈	—	43	1	no	—
353	C₂×C₈	—	43	1	no	—
354	C₂×C₈	—	43	1	no	—
355	C₂×C₈	—	172	1	no	—
356	C₂×C₈	—	172	1	no	—
357	C₂×C₈	—	172	1	no	—
358	C₂×C₈	—	172	1	no	—
359	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
360	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
361	C₄⋊C₄	—	2	2	no	—
362	C₄⋊C₄	—	4	1	no	—
363	C₄⋊C₄	—	86	2	no	—
364	C₄⋊C₄	—	172	1	no	—
365	C₄⋊C₄	—	172	2	no	—
366	C₄⋊C₄	—	172	2	no	—
367	C₂²⋊C₄	—	172	2	no	—
368	C₄²	—	43	1	no	—
369	C₄²	—	86	1	no	—
370	C₄²	—	172	2	no	—
371	C₄²	D₄×D₄₃	1	1	yes	characteristic
372	C₁₆	—	2	2	no	—
373	C₁₆	—	86	2	no	—
374	C₂³	—	43	1	no	—
375	C₂³	—	172	1	no	—
376	Q₈	—	2	1	no	—
377	Q₈	—	8	2	no	—
378	Q₈	—	86	1	no	—
379	Q₈	—	344	2	no	—
380	Q₈	—	172	1	no	—
381	D₄	—	2	1	no	—
382	D₄	—	4	1	no	—
383	D₄	—	86	1	no	—
384	D₄	—	172	1	no	—
385	D₄	—	172	1	no	—
386	D₄	—	172	1	no	—
387	D₄	—	172	1	no	—
388	C₂×C₄	—	2	1	no	—
389	C₂×C₄	—	4	1	no	—
390	C₂×C₄	—	4	2	no	—
391	C₂×C₄	—	43	1	no	—
392	C₂×C₄	—	43	1	no	—
393	C₂×C₄	—	43	1	no	—
394	C₂×C₄	—	43	1	no	—
395	C₂×C₄	—	43	1	no	—
396	C₂×C₄	—	86	1	no	—
397	C₂×C₄	—	172	2	no	—
398	C₂×C₄	—	172	1	no	—
399	C₂×C₄	—	172	1	no	—
400	C₂×C₄	—	172	1	no	—
401	C₂×C₄	—	172	2	no	—
402	C₂×C₄	—	172	1	no	—
403	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
404	C₈	—	4	1	no	—
405	C₈	—	43	1	no	—
406	C₈	—	43	1	no	—
407	C₈	—	43	1	no	—
408	C₈	—	43	1	no	—
409	C₈	—	172	1	no	—
410	C₈	SD₁₆×D₄₃	1	1	yes	characteristic
411	C₈	SD₁₆×D₄₃	1	1	yes	characteristic
412	C₈	C₂×Q₈×D₄₃	1	1	yes	characteristic
413	C₈	#41×D₄₃	1	1	yes	characteristic
414	C₂²	—	4	1	no	—
415	C₂²	—	43	1	no	—
416	C₂²	—	43	1	no	—
417	C₂²	—	344	2	no	—
418	C₂²	—	172	1	no	—
419	C₂²	—	172	1	no	—
420	C₂²	AGL(1,ℤ/8)×D₄₃	1	1	yes	characteristic
421	C₄	—	2	2	no	—
422	C₄	—	4	1	no	—
423	C₄	—	8	2	no	—
424	C₄	—	43	1	no	—
425	C₄	—	43	1	no	—
426	C₄	—	344	2	no	—
427	C₄	—	172	1	no	—
428	C₄	—	172	1	no	—
429	C₄	C₂²⋊Q₈×D₄₃	1	1	yes	characteristic
430	C₄	C₂×SD₁₆×D₄₃	1	1	yes	characteristic
431	C₂	—	2	1	no	—
432	C₂	—	8	1	no	—
433	C₂	—	86	1	no	—
434	C₂	—	86	1	no	—
435	C₂	—	344	1	no	—
436	C₂	#476×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂	#476×D₄₃
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#2230	C₂
socle	C₂×C₄₃	C₂×#476
prime radical	#135×D₄₃	C₂²
hypercenter	#2230	D₄₃
hypocenter	C₄₃	#33637
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ C₄×C₈ ◁ #2230

Complements

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

N	H ≅ G/N	type
1. #19145104	C₂	semidirect
3. #19136770	C₂	semidirect
4. #19136769	C₂	semidirect
5. #19136767	C₂	semidirect
6. #19136766	C₂	semidirect
7. #19136763	C₂	semidirect
8. #19136366	C₂	semidirect
9. #364×D₄₃	C₂	semidirect
11. C₄₃×#2230	C₂	semidirect
18. #14583299	C₂²	semidirect
19. #14583297	C₂²	semidirect
30. #14582723	C₂²	semidirect
31. #14582722	C₂²	semidirect
32. #14582721	C₂²	semidirect
33. #14582720	C₂²	semidirect
34. #14582719	C₂²	semidirect
38. C₄₃×#498	C₂²	semidirect
40. C₄₃×#365	C₂²	semidirect
41. C₄₃×#364	C₂²	semidirect
44. #13063348	Q₈	semidirect
48. #13063344	Q₈	semidirect
49. Q₁₆×D₄₃	Q₈	semidirect
51. D₈×D₄₃	Q₈	semidirect
220. #2230	D₄₃	semidirect
238. #498	C₂×D₄₃	semidirect
253. #365	C₂×D₄₃	semidirect
256. #364	C₂×D₄₃	semidirect
261. C₄₃	#33637	semidirect

Maximal subgroups

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

subgroup	index
#19145104	2
#443×D₄₃	2
#19136770	2
#19136769	2
#19136767	2
#19136766	2
#19136763	2
#19136366	2
#364×D₄₃	2
#19136329	2
C₄₃×#2230	2
#33637	43