Subgroups — #25066517

Order 11008.

698 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19143530	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₄×C₄₃⋊C₈	C₂	1	1	yes	maximal, characteristic
3	#19133453	C₂	1	4	yes	maximal, complemented
4	SD₁₆⋊(C₄₃⋊C₈)	C₂	1	4	yes	maximal, complemented
5	#19133370	C₂	1	1	yes	maximal, characteristic, complemented
6	#19133020	C₂	1	1	yes	maximal, characteristic
7	#19132998	C₂	1	1	yes	maximal, characteristic, complemented
8	#19132888	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#3101	C₂	1	1	yes	maximal, characteristic
10	C₂³×C₄₃⋊C₈	—	2	1	no	—
11	#14583030	—	2	1	no	—
12	#14583030	C₂²	1	2	yes	complemented
13	Q₈×C₄₃⋊C₈	—	2	1	no	—
14	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	complemented
15	D₄×C₄₃⋊C₈	—	2	1	no	—
16	D₄×C₄₃⋊C₈	—	2	1	no	—
17	D₄×C₄₃⋊C₈	C₂²	1	2	yes	—
18	D₄×C₄₃⋊C₈	C₂²	1	2	yes	—
19	#14582952	C₂²	1	1	yes	characteristic
20	#14582926	—	2	1	no	—
21	#14582923	C₂²	1	1	yes	characteristic
22	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
23	C₂×C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
24	#14582855	—	2	1	no	—
25	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
26	#14582652	C₂²	1	4	yes	complemented
27	Q₈⋊(C₄₃⋊C₈)	C₂²	1	4	yes	complemented
28	D₄⋊(C₄₃⋊C₈)	C₂²	1	4	yes	—
29	#14582621	C₂²	1	2	yes	complemented
30	#14582620	C₂²	1	2	yes	complemented
31	C₄₃×#533	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
33	C₄₃×#483	C₄	1	2	yes	—
34	C₄₃×#476	C₄	1	2	yes	—
35	C₄₃×#461	C₄	1	2	yes	—
36	C₄₃×#450	C₄	1	2	yes	—
37	C₄×SD₁₆×C₄₃	C₂²	1	4	yes	—
38	C₄₃×#431	C₂²	1	1	yes	characteristic
39	C₂×#10621877	—	2	1	no	—
40	C₂²×C₄₃⋊C₈	—	2	1	no	—
41	C₂²×C₄₃⋊C₈	—	2	2	no	—
42	C₂²×C₄₃⋊C₈	—	2	2	no	—
43	C₂²×C₄₃⋊C₈	—	4	4	no	—
44	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
45	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
46	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
47	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
48	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
49	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
50	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
51	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
52	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
53	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
54	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
55	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
56	#13063236	—	2	2	no	—
57	C₄×C₄₃⋊C₈	—	2	2	no	—
58	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
59	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
60	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
61	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
62	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
63	C₂²×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
64	C₂³×C₄×C₄₃	—	2	1	no	—
65	C₂×SD₁₆×C₄₃	C₂×C₄	1	4	yes	—
66	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
67	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
68	#125×C₄₃	—	2	1	no	—
69	C₂²⋊Q₈×C₄₃	—	2	1	no	—
70	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
71	C₄×Q₈×C₄₃	—	2	1	no	—
72	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
73	C₄×D₄×C₄₃	—	2	1	no	—
74	C₄×D₄×C₄₃	—	2	1	no	—
75	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
76	C₄×D₄×C₄₃	C₂³	1	2	yes	—
77	#117×C₄₃	—	2	1	no	—
78	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
79	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
80	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
81	#106×C₄₃	C₂×C₄	1	4	yes	—
82	C₄⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
83	#103×C₄₃	C₂×C₄	1	4	yes	—
84	#102×C₄₃	C₂×C₄	1	4	yes	—
85	C₂²⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
86	C₄×C₈×C₄₃	C₂³	1	2	yes	—
87	C₂⁴×C₄₃	—	2	1	no	—
88	C₂×Q₈×C₄₃	—	2	1	no	—
89	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
90	C₂×D₄×C₄₃	—	2	4	no	—
91	C₂×D₄×C₄₃	—	2	1	no	—
92	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
93	C₂²×C₄×C₄₃	—	2	2	no	—
94	C₂²×C₄×C₄₃	—	2	2	no	—
95	C₂²×C₄×C₄₃	—	2	1	no	—
96	C₂²×C₄×C₄₃	—	4	2	no	—
97	C₂²×C₄×C₄₃	—	4	2	no	—
98	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
99	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
100	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
101	SD₁₆×C₄₃	—	2	8	no	—
102	C₂×C₈×C₄₃	C₂²×C₄	1	4	yes	—
103	C₄⋊C₄×C₄₃	—	2	1	no	—
104	C₄⋊C₄×C₄₃	—	2	1	no	—
105	C₄⋊C₄×C₄₃	—	2	1	no	—
106	C₄⋊C₄×C₄₃	—	2	1	no	—
107	C₄⋊C₄×C₄₃	—	2	2	no	—
108	C₄⋊C₄×C₄₃	—	2	2	no	—
109	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
110	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
111	C₂²⋊C₄×C₄₃	—	2	2	no	—
112	C₂²⋊C₄×C₄₃	—	2	2	no	—
113	C₂²⋊C₄×C₄₃	—	2	2	no	—
114	C₄²×C₄₃	—	2	2	no	—
115	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
116	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₄₃	#41	1	1	yes	characteristic
118	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
119	#10621877	—	4	2	no	—
120	C₂×C₄₃⋊C₈	—	2	2	no	—
121	C₂×C₄₃⋊C₈	—	2	2	no	—
122	C₂×C₄₃⋊C₈	—	2	2	no	—
123	C₂×C₄₃⋊C₈	—	2	2	no	—
124	C₂×C₄₃⋊C₈	—	2	2	no	—
125	C₂×C₄₃⋊C₈	—	4	4	no	—
126	C₂×C₄₃⋊C₈	—	4	4	no	—
127	C₂×C₄₃⋊C₈	—	4	2	no	—
128	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
129	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
130	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
132	C₂³×C₄₃	—	2	4	no	—
133	C₂³×C₄₃	—	2	2	no	—
134	C₂³×C₄₃	—	4	2	no	—
135	C₂³×C₄₃	—	4	2	no	—
136	C₂³×C₄₃	C₄×D₄	1	1	yes	characteristic
137	Q₈×C₄₃	—	2	4	no	—
138	Q₈×C₄₃	—	4	2	no	—
139	D₄×C₄₃	—	2	4	no	—
140	D₄×C₄₃	—	2	2	no	—
141	D₄×C₄₃	#131	1	4	yes	—
142	C₂×C₄×C₄₃	—	2	2	no	—
143	C₂×C₄×C₄₃	—	2	2	no	—
144	C₂×C₄×C₄₃	—	2	2	no	—
145	C₂×C₄×C₄₃	—	2	2	no	—
146	C₂×C₄×C₄₃	—	4	1	no	—
147	C₂×C₄×C₄₃	—	4	2	no	—
148	C₂×C₄×C₄₃	—	4	2	no	—
149	C₂×C₄×C₄₃	—	4	2	no	—
150	C₂×C₄×C₄₃	—	4	4	no	—
151	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
152	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
154	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
155	C₂×C₄×C₄₃	#137	1	2	yes	—
156	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
157	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
158	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
159	C₈×C₄₃	—	2	4	no	—
160	C₄₃⋊C₈	—	2	1	no	—
161	C₄₃⋊C₈	—	2	1	no	—
162	C₄₃⋊C₈	—	2	1	no	—
163	C₄₃⋊C₈	—	2	1	no	—
164	C₄₃⋊C₈	—	4	2	no	—
165	C₄₃⋊C₈	—	4	2	no	—
166	C₄₃⋊C₈	—	4	2	no	—
167	#17905	—	43	1	no	maximal, Sylow
168	C₂²×C₄₃	—	2	1	no	—
169	C₂²×C₄₃	—	2	1	no	—
170	C₂²×C₄₃	—	2	4	no	—
171	C₂²×C₄₃	—	4	8	no	—
172	C₂²×C₄₃	—	4	2	no	—
173	C₂²×C₄₃	—	4	2	no	—
174	C₂²×C₄₃	#440	1	2	yes	—
175	C₂²×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
176	C₄×C₄₃	—	2	1	no	—
177	C₄×C₄₃	—	2	1	no	—
178	C₄×C₄₃	—	2	1	no	—
179	C₄×C₄₃	—	4	2	no	—
180	C₄×C₄₃	—	4	2	no	—
181	C₄×C₄₃	—	4	2	no	—
182	C₄×C₄₃	#440	1	2	yes	—
183	C₄×C₄₃	C₂×#131	1	2	yes	—
184	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
185	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
186	#3101	D₄₃	1	1	yes	characteristic
187	#2960	—	43	1	no	—
188	C₂×C₈×D₄	—	43	1	no	—
189	#1585	—	43	4	no	—
190	SD₁₆⋊C₈	—	43	4	no	—
191	#1571	—	43	1	no	—
192	#1486	—	43	1	no	—
193	#1481	—	43	1	no	—
194	#1452	—	43	1	no	—
195	C₂×C₄₃	—	2	2	no	—
196	C₂×C₄₃	—	4	4	no	—
197	C₂×C₄₃	#2929	1	1	yes	characteristic
198	C₂×C₄₃	C₂×#440	1	1	yes	characteristic
199	C₂×C₄₃	#2955	1	1	yes	characteristic
200	C₂³×C₈	—	86	1	no	—
201	#533	C₂×D₄₃	1	1	yes	characteristic
202	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
203	#483	Dic₄₃	1	2	yes	—
204	#476	Dic₄₃	1	2	yes	—
205	#461	Dic₄₃	1	2	yes	—
206	#450	Dic₄₃	1	2	yes	—
207	#446	—	43	2	no	—
208	#446	—	86	1	no	—
209	C₈×Q₈	—	43	2	no	—
210	C₈×Q₈	—	86	1	no	—
211	C₄×SD₁₆	C₂×D₄₃	1	4	yes	—
212	C₈×D₄	—	43	2	no	—
213	C₈×D₄	—	43	2	no	—
214	C₈×D₄	—	86	1	no	—
215	C₈×D₄	—	86	1	no	—
216	#431	—	43	1	no	—
217	#431	C₂×D₄₃	1	1	yes	characteristic
218	#424	—	86	1	no	—
219	#423	—	43	1	no	—
220	C₂×C₄⋊C₈	—	43	1	no	—
221	C₂×C₂²⋊C₈	—	86	1	no	—
222	#405	—	86	1	no	—
223	C₂×C₄×C₈	—	43	1	no	—
224	#335	—	43	4	no	—
225	Q₈⋊C₈	—	43	4	no	—
226	D₄⋊C₈	—	43	4	no	—
227	#322	—	43	2	no	—
228	#322	—	43	2	no	—
229	C₄₃	#17905	1	1	yes	characteristic, complemented, Sylow
230	C₂²×D₄	C₂×Dic₄₃	1	1	yes	characteristic
231	C₂³×C₄	—	2	1	no	—
232	C₂×SD₁₆	C₂×Dic₄₃	1	4	yes	—
233	C₂×M₁₆	—	86	1	no	—
234	C₂²×C₈	—	43	1	no	—
235	C₂²×C₈	—	43	1	no	—
236	C₂²×C₈	—	86	2	no	—
237	C₂²×C₈	—	86	2	no	—
238	C₂²×C₈	—	86	1	no	—
239	C₂²×C₈	—	172	4	no	—
240	C₄⋊Q₈	C₂×Dic₄₃	1	1	yes	characteristic
241	C₄⋊Q₈	C₂×Dic₄₃	1	1	yes	characteristic
242	#125	—	2	1	no	—
243	C₂²⋊Q₈	—	2	1	no	—
244	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
245	C₄×Q₈	—	2	1	no	—
246	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
247	C₄×D₄	—	2	1	no	—
248	C₄×D₄	—	2	1	no	—
249	C₄×D₄	C₂×Dic₄₃	1	2	yes	—
250	C₄×D₄	C₂²×D₄₃	1	2	yes	—
251	#117	—	2	1	no	—
252	C₂×C₄⋊C₄	C₂×Dic₄₃	1	1	yes	characteristic
253	C₂×C₂²⋊C₄	—	2	1	no	—
254	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
255	#106	C₂×Dic₄₃	1	4	yes	—
256	C₄⋊C₈	—	43	2	no	—
257	C₄⋊C₈	—	43	2	no	—
258	C₄⋊C₈	—	86	2	no	—
259	C₄⋊C₈	—	86	2	no	—
260	C₄⋊C₈	—	86	1	no	—
261	C₄⋊C₈	—	86	1	no	—
262	C₄⋊C₈	—	86	1	no	—
263	C₄⋊C₈	C₂×Dic₄₃	1	2	yes	—
264	#103	C₂×Dic₄₃	1	4	yes	—
265	#102	C₂×Dic₄₃	1	4	yes	—
266	C₂²⋊C₈	—	86	2	no	—
267	C₂²⋊C₈	—	86	2	no	—
268	C₂²⋊C₈	—	86	1	no	—
269	C₂²⋊C₈	C₂×Dic₄₃	1	2	yes	—
270	#97	—	86	2	no	—
271	C₄×C₈	—	43	1	no	—
272	C₄×C₈	—	43	1	no	—
273	C₄×C₈	—	43	1	no	—
274	C₄×C₈	—	43	1	no	—
275	C₄×C₈	—	43	2	no	—
276	C₄×C₈	—	86	2	no	—
277	C₄×C₈	C₂²×D₄₃	1	2	yes	—
278	C₂⁴	—	2	1	no	—
279	C₂×Q₈	—	2	1	no	—
280	C₂×Q₈	C₂²×Dic₄₃	1	2	yes	—
281	C₂×D₄	—	2	4	no	—
282	C₂×D₄	—	2	1	no	—
283	C₂×D₄	C₂²×Dic₄₃	1	2	yes	—
284	C₂²×C₄	—	2	1	no	—
285	C₂²×C₄	—	2	2	no	—
286	C₂²×C₄	—	2	2	no	—
287	C₂²×C₄	—	4	2	no	—
288	C₂²×C₄	—	4	2	no	—
289	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
290	C₂²×C₄	#10621900	1	1	yes	characteristic
291	C₂²×C₄	C₂²×Dic₄₃	1	1	yes	characteristic
292	SD₁₆	—	2	8	no	—
293	M₁₆	—	172	2	no	—
294	C₂×C₈	—	43	1	no	—
295	C₂×C₈	—	43	1	no	—
296	C₂×C₈	—	43	1	no	—
297	C₂×C₈	—	43	1	no	—
298	C₂×C₈	—	86	2	no	—
299	C₂×C₈	—	86	2	no	—
300	C₂×C₈	—	86	2	no	—
301	C₂×C₈	—	86	2	no	—
302	C₂×C₈	—	86	2	no	—
303	C₂×C₈	—	172	4	no	—
304	C₂×C₈	—	172	4	no	—
305	C₂×C₈	—	172	2	no	—
306	C₂×C₈	C₂²×Dic₄₃	1	4	yes	—
307	C₄⋊C₄	—	2	1	no	—
308	C₄⋊C₄	—	2	1	no	—
309	C₄⋊C₄	—	2	1	no	—
310	C₄⋊C₄	—	2	1	no	—
311	C₄⋊C₄	—	2	2	no	—
312	C₄⋊C₄	—	2	2	no	—
313	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
314	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
315	C₂²⋊C₄	—	2	2	no	—
316	C₂²⋊C₄	—	2	2	no	—
317	C₂²⋊C₄	—	2	2	no	—
318	C₄²	—	2	2	no	—
319	C₄²	D₄×D₄₃	1	1	yes	characteristic
320	C₄²	#10621900	1	1	yes	characteristic
321	C₄²	C₂²×Dic₄₃	1	1	yes	characteristic
322	C₄²	C₂³×D₄₃	1	1	yes	characteristic
323	C₂³	—	2	4	no	—
324	C₂³	—	2	2	no	—
325	C₂³	—	4	2	no	—
326	C₂³	—	4	2	no	—
327	C₂³	D₄×Dic₄₃	1	1	yes	characteristic
328	Q₈	—	2	4	no	—
329	Q₈	—	4	2	no	—
330	D₄	—	2	4	no	—
331	D₄	—	2	2	no	—
332	D₄	#13063332	1	4	yes	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	4	no	—
342	C₂×C₄	D₄×Dic₄₃	1	1	yes	characteristic
343	C₂×C₄	D₄×Dic₄₃	1	1	yes	characteristic
344	C₂×C₄	D₄×Dic₄₃	1	1	yes	characteristic
345	C₂×C₄	#13063352	1	2	yes	—
346	C₂×C₄	#13063354	1	2	yes	—
347	C₂×C₄	C₂³×Dic₄₃	1	1	yes	characteristic
348	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
349	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
350	C₈	—	2	4	no	—
351	C₈	—	86	1	no	—
352	C₈	—	86	1	no	—
353	C₈	—	86	1	no	—
354	C₈	—	86	1	no	—
355	C₈	—	172	2	no	—
356	C₈	—	172	2	no	—
357	C₈	—	172	2	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	2	4	no	—
361	C₂²	—	4	8	no	—
362	C₂²	—	4	2	no	—
363	C₂²	—	4	2	no	—
364	C₂²	#14583000	1	2	yes	—
365	C₂²	C₂×D₄×Dic₄₃	1	1	yes	characteristic
366	C₄	—	2	1	no	—
367	C₄	—	2	1	no	—
368	C₄	—	2	1	no	—
369	C₄	—	4	2	no	—
370	C₄	—	4	2	no	—
371	C₄	—	4	2	no	—
372	C₄	#14583000	1	2	yes	—
373	C₄	C₂×#13063332	1	2	yes	—
374	C₄	C₂×#13063352	1	1	yes	characteristic
375	C₄	C₂×#13063354	1	1	yes	characteristic
376	C₂	—	2	2	no	—
377	C₂	—	4	4	no	—
378	C₂	#19143290	1	1	yes	characteristic
379	C₂	C₂×#14583000	1	1	yes	characteristic
380	C₂	#19143498	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#3101	C₂
socle	C₂²×C₄₃	C₂×C₄×D₄
prime radical	C₂²×D₄×C₄₃	C₂×C₄
cosocle	C₄²×C₄₃	C₂⁴
hypercenter	#3101	D₄₃
hypocenter	C₄₃	#17905
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3101

Complements

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

N	H ≅ G/N	type
1. #19143530	C₂	semidirect
3. #19133453	C₂	semidirect
4. SD₁₆⋊(C₄₃⋊C₈)	C₂	semidirect
5. #19133370	C₂	semidirect
7. #19132998	C₂	semidirect
8. #19132888	C₂	semidirect
12. #14583030	C₂²	semidirect
14. Q₈×C₄₃⋊C₈	C₂²	semidirect
26. #14582652	C₂²	semidirect
27. Q₈⋊(C₄₃⋊C₈)	C₂²	semidirect
29. #14582621	C₂²	semidirect
30. #14582620	C₂²	semidirect
229. C₄₃	#17905	semidirect

Maximal subgroups

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

subgroup	index
#19143530	2
C₂×D₄×C₄₃⋊C₈	2
#19133453	2
SD₁₆⋊(C₄₃⋊C₈)	2
#19133370	2
#19133020	2
#19132998	2
#19132888	2
C₄₃×#3101	2
#17905	43