Subgroups — #24996776

Order 11008.

640 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19134575	C₂	1	1	yes	maximal, characteristic
2	C₄×C₄₃⋊#95	C₂	1	1	yes	maximal, characteristic
3	#19132473	C₂	1	2	yes	maximal
4	#19132473	C₂	1	2	yes	maximal
5	C₄₃×#2851	C₂	1	1	yes	maximal, characteristic
6	C₂²×C₄×Dic₄₃	—	2	1	no	—
7	C₂×C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
8	C₂×C₂²⋊(C₄₃⋊C₈)	C₂²	1	2	yes	—
9	C₂×C₄₃⋊#95	—	2	1	no	—
10	C₂×C₄₃⋊#95	C₂²	1	2	yes	—
11	#14582654	—	2	1	no	—
12	C₂×#125×C₄₃	C₄	1	1	yes	characteristic, complemented
13	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
14	C₄₃×#389	C₄	1	1	yes	characteristic, complemented
15	C₄₃×#389	C₄	1	1	yes	characteristic, complemented
16	C₄₃×#387	—	2	1	no	—
17	C₄₃×#387	—	2	1	no	—
18	C₄₃×#385	—	2	1	no	—
19	C₄₃×#385	—	2	1	no	—
20	C₄₃×#382	C₄	1	1	yes	characteristic, complemented
21	C₄₃×#380	C₂²	1	1	yes	characteristic
22	C₄₃×#380	C₂²	1	1	yes	characteristic
23	C₂³×Dic₄₃	—	2	2	no	—
24	C₂²×C₄₃⋊C₈	—	2	2	no	—
25	C₂×C₄×Dic₄₃	—	2	4	no	—
26	C₂×C₄×Dic₄₃	—	4	2	no	—
27	C₂×C₄×Dic₄₃	—	4	2	no	—
28	C₄⋊(C₄₃⋊C₈)	—	4	2	no	—
29	C₂²⋊(C₄₃⋊C₈)	—	2	4	no	—
30	C₄₃⋊#95	—	2	4	no	—
31	C₄₃⋊#95	—	2	2	no	—
32	C₄₃⋊#95	Q₈	1	4	yes	—
33	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
34	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
35	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
36	#125×C₄₃	—	4	2	no	—
37	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
38	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
39	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
40	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
41	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
42	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
44	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
46	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
47	C₂×C₄²×C₄₃	—	4	2	no	—
48	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
49	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
50	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
51	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
52	#95×C₄₃	—	2	1	no	—
53	#95×C₄₃	—	2	1	no	—
54	#95×C₄₃	—	2	1	no	—
55	#95×C₄₃	—	2	1	no	—
56	#95×C₄₃	—	2	1	no	—
57	#95×C₄₃	—	2	1	no	—
58	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
59	C₂²×C₄×C₄₃	—	2	2	no	—
60	C₂²×C₄×C₄₃	—	2	2	no	—
61	C₂²×C₄×C₄₃	—	2	2	no	—
62	C₂²×C₄×C₄₃	—	2	1	no	—
63	C₂²×C₄×C₄₃	—	2	1	no	—
64	C₂²×C₄×C₄₃	—	2	1	no	—
65	C₂²×C₄×C₄₃	—	2	1	no	—
66	C₂²×C₄×C₄₃	—	2	2	no	—
67	C₂²×C₄×C₄₃	—	2	1	no	—
68	C₂²×C₄×C₄₃	—	2	1	no	—
69	C₂²×C₄×C₄₃	—	4	1	no	—
70	C₂²×C₄×C₄₃	—	4	1	no	—
71	C₂²×C₄×C₄₃	—	4	1	no	—
72	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
73	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
74	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
75	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
76	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
77	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
78	C₂²×C₄×C₄₃	C₂×Q₈	1	2	yes	—
79	C₂²×C₄×C₄₃	#41	1	2	yes	—
80	C₂²×Dic₄₃	—	2	4	no	—
81	C₂²×Dic₄₃	—	2	4	no	—
82	C₂²×Dic₄₃	—	2	4	no	—
83	C₂²×Dic₄₃	—	4	2	no	—
84	C₂²×Dic₄₃	—	4	2	no	—
85	C₂²×Dic₄₃	—	4	2	no	—
86	C₂²×Dic₄₃	—	4	2	no	—
87	C₄⋊C₄×C₄₃	—	4	1	no	—
88	C₄⋊C₄×C₄₃	—	4	1	no	—
89	C₄⋊C₄×C₄₃	—	4	1	no	—
90	C₄⋊C₄×C₄₃	—	4	1	no	—
91	C₄⋊C₄×C₄₃	—	4	2	no	—
92	C₄⋊C₄×C₄₃	—	4	2	no	—
93	C₄⋊C₄×C₄₃	—	4	2	no	—
94	C₄⋊C₄×C₄₃	—	4	2	no	—
95	C₂²⋊C₄×C₄₃	—	4	2	no	—
96	C₂²⋊C₄×C₄₃	—	4	1	no	—
97	C₂²⋊C₄×C₄₃	—	4	1	no	—
98	C₄²×C₄₃	—	2	2	no	—
99	C₄²×C₄₃	—	2	2	no	—
100	C₄²×C₄₃	—	4	1	no	—
101	C₄²×C₄₃	—	4	1	no	—
102	C₄×Dic₄₃	—	4	8	no	—
103	C₂×C₄₃⋊C₈	—	4	2	no	—
104	C₂×C₄₃⋊C₈	—	4	2	no	—
105	C₂×C₄₃⋊C₈	—	4	2	no	—
106	C₂³×C₄₃	—	2	1	no	—
107	C₂³×C₄₃	—	2	1	no	—
108	C₂³×C₄₃	—	2	1	no	—
109	C₂³×C₄₃	—	2	1	no	—
110	C₂³×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
111	C₂³×C₄₃	C₂²⋊Q₈	1	2	yes	—
112	C₂³×C₄₃	#135	1	2	yes	—
113	C₂³×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
114	C₂³×C₄₃	#137	1	1	yes	characteristic
115	C₂×C₄×C₄₃	—	2	4	no	—
116	C₂×C₄×C₄₃	—	2	4	no	—
117	C₂×C₄×C₄₃	—	2	1	no	—
118	C₂×C₄×C₄₃	—	2	1	no	—
119	C₂×C₄×C₄₃	—	2	1	no	—
120	C₂×C₄×C₄₃	—	2	1	no	—
121	C₂×C₄×C₄₃	—	2	1	no	—
122	C₂×C₄×C₄₃	—	2	1	no	—
123	C₂×C₄×C₄₃	—	2	1	no	—
124	C₂×C₄×C₄₃	—	2	1	no	—
125	C₂×C₄×C₄₃	—	2	1	no	—
126	C₂×C₄×C₄₃	—	2	1	no	—
127	C₂×C₄×C₄₃	—	2	1	no	—
128	C₂×C₄×C₄₃	—	2	1	no	—
129	C₂×C₄×C₄₃	—	2	1	no	—
130	C₂×C₄×C₄₃	—	4	2	no	—
131	C₂×C₄×C₄₃	—	4	2	no	—
132	C₂×C₄×C₄₃	—	4	4	no	—
133	C₂×C₄×C₄₃	—	4	1	no	—
134	C₂×C₄×C₄₃	—	4	1	no	—
135	C₂×C₄×C₄₃	—	4	1	no	—
136	C₂×C₄×C₄₃	—	4	1	no	—
137	C₂×C₄×C₄₃	—	4	1	no	—
138	C₂×C₄×C₄₃	—	4	1	no	—
139	C₂×C₄×C₄₃	—	4	1	no	—
140	C₂×C₄×C₄₃	—	4	1	no	—
141	C₂×C₄×C₄₃	—	4	1	no	—
142	C₂×C₄×C₄₃	—	4	1	no	—
143	C₂×C₄×C₄₃	—	4	1	no	—
144	C₂×C₄×C₄₃	—	4	1	no	—
145	C₂×C₄×C₄₃	#99	1	2	yes	—
146	C₂×C₄×C₄₃	#104	1	2	yes	—
147	C₂×C₄×C₄₃	#104	1	2	yes	—
148	C₂×C₄×C₄₃	C₄×Q₈	1	2	yes	—
149	C₂×C₄×C₄₃	#124	1	1	yes	characteristic
150	C₂×C₄×C₄₃	C₄⋊Q₈	1	1	yes	characteristic
151	C₂×Dic₄₃	—	2	8	no	—
152	C₂×Dic₄₃	—	4	4	no	—
153	C₂×Dic₄₃	—	4	4	no	—
154	C₂×Dic₄₃	—	4	4	no	—
155	C₂×Dic₄₃	—	4	4	no	—
156	C₂×Dic₄₃	—	4	4	no	—
157	C₂×Dic₄₃	—	4	4	no	—
158	C₄₃⋊C₈	—	8	2	no	—
159	#9910	—	43	1	no	maximal, Sylow
160	C₂²×C₄₃	—	2	2	no	—
161	C₂²×C₄₃	—	2	2	no	—
162	C₂²×C₄₃	—	2	2	no	—
163	C₂²×C₄₃	—	2	2	no	—
164	C₂²×C₄₃	—	2	1	no	—
165	C₂²×C₄₃	—	2	1	no	—
166	C₂²×C₄₃	—	2	1	no	—
167	C₂²×C₄₃	—	2	1	no	—
168	C₂²×C₄₃	#391	1	1	yes	characteristic
169	C₂²×C₄₃	C₂×#99	1	1	yes	characteristic
170	C₂²×C₄₃	#410	1	1	yes	characteristic
171	C₂²×C₄₃	#416	1	1	yes	characteristic
172	C₂²×C₄₃	#417	1	1	yes	characteristic
173	C₂²×C₄₃	C₂×#104	1	1	yes	characteristic
174	C₂²×C₄₃	C₂×#104	1	1	yes	characteristic
175	C₂²×C₄₃	#478	1	2	yes	—
176	C₂²×C₄₃	#479	1	2	yes	—
177	C₄×C₄₃	—	2	1	no	—
178	C₄×C₄₃	—	2	2	no	—
179	C₄×C₄₃	—	2	1	no	—
180	C₄×C₄₃	—	2	2	no	—
181	C₄×C₄₃	—	2	2	no	—
182	C₄×C₄₃	—	2	2	no	—
183	C₄×C₄₃	—	4	1	no	—
184	C₄×C₄₃	—	8	1	no	—
185	C₄×C₄₃	—	8	1	no	—
186	C₄×C₄₃	—	8	1	no	—
187	C₄×C₄₃	—	8	1	no	—
188	Dic₄₃	—	4	8	no	—
189	#2851	D₄₃	1	1	yes	characteristic
190	#1797	—	43	1	no	—
191	C₄×#95	—	43	1	no	—
192	#1294	—	43	2	no	—
193	#1294	—	43	2	no	—
194	C₂×C₄₃	—	2	2	no	—
195	C₂×C₄₃	—	2	2	no	—
196	C₂×C₄₃	#1500	1	1	yes	characteristic
197	C₂×C₄₃	#1501	1	1	yes	characteristic
198	C₂×C₄₃	#1504	1	1	yes	characteristic
199	C₂×C₄₃	#1509	1	1	yes	characteristic
200	C₂×C₄₃	#1989	1	1	yes	characteristic
201	C₂×C₄₃	#1994	1	1	yes	characteristic
202	C₂×C₄₃	#1996	1	1	yes	characteristic
203	C₂×#125	Dic₄₃	1	1	yes	characteristic, complemented
204	C₂²×C₄²	—	86	1	no	—
205	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
206	C₂×C₄⋊C₈	—	86	1	no	—
207	C₂×C₂²⋊C₈	—	43	2	no	—
208	#389	Dic₄₃	1	1	yes	characteristic, complemented
209	#389	Dic₄₃	1	1	yes	characteristic, complemented
210	#387	—	2	1	no	—
211	#387	—	2	1	no	—
212	#385	—	2	1	no	—
213	#385	—	2	1	no	—
214	#382	Dic₄₃	1	1	yes	characteristic, complemented
215	#380	C₂×D₄₃	1	1	yes	characteristic
216	#380	C₂×D₄₃	1	1	yes	characteristic
217	C₂×#95	—	43	2	no	—
218	C₂×#95	—	86	1	no	—
219	#336	—	86	1	no	—
220	C₄₃	#9910	1	1	yes	characteristic, complemented, Sylow
221	C₂³×C₄	—	86	2	no	—
222	C₂³×C₄	C₂²⋊D₄₃	1	1	yes	characteristic
223	C₂³×C₄	C₂²⋊D₄₃	1	1	yes	characteristic
224	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
225	C₂²×C₈	—	86	2	no	—
226	#125	—	4	2	no	—
227	C₂×C₄⋊C₄	—	2	1	no	—
228	C₂×C₄⋊C₄	—	2	1	no	—
229	C₂×C₄⋊C₄	—	2	1	no	—
230	C₂×C₄⋊C₄	—	2	1	no	—
231	C₂×C₄⋊C₄	C₂×Dic₄₃	1	1	yes	characteristic
232	C₂×C₄⋊C₄	C₂×Dic₄₃	1	1	yes	characteristic
233	C₂×C₄⋊C₄	C₂×Dic₄₃	1	1	yes	characteristic
234	C₂×C₄⋊C₄	C₂×Dic₄₃	1	1	yes	characteristic
235	C₂×C₂²⋊C₄	—	2	1	no	—
236	C₂×C₂²⋊C₄	—	2	1	no	—
237	C₂×C₄²	—	4	2	no	—
238	C₂×C₄²	—	86	4	no	—
239	C₂×C₄²	—	172	2	no	—
240	C₂×C₄²	—	172	2	no	—
241	C₂×C₄²	C₂×Dic₄₃	1	1	yes	characteristic
242	C₂×C₄²	C₂×Dic₄₃	1	1	yes	characteristic
243	C₂×C₄²	C₂²⋊D₄₃	1	1	yes	characteristic
244	C₂×C₄²	C₂²⋊D₄₃	1	1	yes	characteristic
245	C₄⋊C₈	—	172	2	no	—
246	C₂²⋊C₈	—	86	4	no	—
247	#95	—	2	1	no	—
248	#95	—	2	1	no	—
249	#95	—	2	1	no	—
250	#95	—	2	1	no	—
251	#95	—	2	1	no	—
252	#95	—	2	1	no	—
253	#95	—	43	4	no	—
254	#95	—	86	4	no	—
255	#95	—	86	2	no	—
256	C₂⁴	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
257	C₂²×C₄	—	2	1	no	—
258	C₂²×C₄	—	2	1	no	—
259	C₂²×C₄	—	2	2	no	—
260	C₂²×C₄	—	2	2	no	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	2	2	no	—
263	C₂²×C₄	—	2	1	no	—
264	C₂²×C₄	—	2	1	no	—
265	C₂²×C₄	—	2	1	no	—
266	C₂²×C₄	—	2	1	no	—
267	C₂²×C₄	—	4	1	no	—
268	C₂²×C₄	—	4	1	no	—
269	C₂²×C₄	—	4	1	no	—
270	C₂²×C₄	—	86	4	no	—
271	C₂²×C₄	—	86	4	no	—
272	C₂²×C₄	—	86	4	no	—
273	C₂²×C₄	—	172	2	no	—
274	C₂²×C₄	—	172	2	no	—
275	C₂²×C₄	—	172	2	no	—
276	C₂²×C₄	—	172	2	no	—
277	C₂²×C₄	C₂²⋊Dic₄₃	1	1	yes	characteristic
278	C₂²×C₄	C₂²⋊Dic₄₃	1	1	yes	characteristic
279	C₂²×C₄	C₂²⋊Dic₄₃	1	1	yes	characteristic
280	C₂²×C₄	C₂²⋊Dic₄₃	1	1	yes	characteristic
281	C₂²×C₄	Q₈×D₄₃	1	2	yes	—
282	C₂²×C₄	#10621902	1	2	yes	—
283	C₂²×C₄	C₂²×Dic₄₃	1	1	yes	characteristic
284	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
285	C₂×C₈	—	172	2	no	—
286	C₂×C₈	—	172	2	no	—
287	C₂×C₈	—	172	2	no	—
288	C₄⋊C₄	—	4	1	no	—
289	C₄⋊C₄	—	4	1	no	—
290	C₄⋊C₄	—	4	1	no	—
291	C₄⋊C₄	—	4	1	no	—
292	C₄⋊C₄	—	4	2	no	—
293	C₄⋊C₄	—	4	2	no	—
294	C₄⋊C₄	—	4	2	no	—
295	C₄⋊C₄	—	4	2	no	—
296	C₂²⋊C₄	—	4	2	no	—
297	C₂²⋊C₄	—	4	1	no	—
298	C₂²⋊C₄	—	4	1	no	—
299	C₄²	—	2	2	no	—
300	C₄²	—	2	2	no	—
301	C₄²	—	4	1	no	—
302	C₄²	—	4	1	no	—
303	C₄²	—	172	8	no	—
304	C₂³	—	2	1	no	—
305	C₂³	—	2	1	no	—
306	C₂³	—	2	1	no	—
307	C₂³	—	2	1	no	—
308	C₂³	C₂×C₂²⋊Dic₄₃	1	1	yes	characteristic
309	C₂³	#13063301	1	2	yes	—
310	C₂³	#13063345	1	2	yes	—
311	C₂³	#13063350	1	1	yes	characteristic
312	C₂³	#13063355	1	1	yes	characteristic
313	C₂×C₄	—	2	4	no	—
314	C₂×C₄	—	2	4	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	4	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	1	no	—
339	C₂×C₄	—	4	1	no	—
340	C₂×C₄	—	4	1	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	86	8	no	—
344	C₂×C₄	—	172	4	no	—
345	C₂×C₄	—	172	4	no	—
346	C₂×C₄	—	172	4	no	—
347	C₂×C₄	—	172	4	no	—
348	C₂×C₄	—	172	4	no	—
349	C₂×C₄	—	172	4	no	—
350	C₂×C₄	#13063240	1	2	yes	—
351	C₂×C₄	#13063252	1	2	yes	—
352	C₂×C₄	#13063252	1	2	yes	—
353	C₂×C₄	Q₈×Dic₄₃	1	2	yes	—
354	C₂×C₄	#13063314	1	1	yes	characteristic
355	C₂×C₄	#13063323	1	1	yes	characteristic
356	C₈	—	344	2	no	—
357	C₂²	—	2	2	no	—
358	C₂²	—	2	2	no	—
359	C₂²	—	2	2	no	—
360	C₂²	—	2	2	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	#14582806	1	1	yes	characteristic
366	C₂²	C₂×#13063240	1	1	yes	characteristic
367	C₂²	#14582873	1	1	yes	characteristic
368	C₂²	#14582895	1	1	yes	characteristic
369	C₂²	#14582900	1	1	yes	characteristic
370	C₂²	C₂×#13063252	1	1	yes	characteristic
371	C₂²	C₂×#13063252	1	1	yes	characteristic
372	C₂²	#14583196	1	2	yes	—
373	C₂²	#14583203	1	2	yes	—
374	C₄	—	2	1	no	—
375	C₄	—	2	2	no	—
376	C₄	—	2	1	no	—
377	C₄	—	2	2	no	—
378	C₄	—	2	2	no	—
379	C₄	—	2	2	no	—
380	C₄	—	4	1	no	—
381	C₄	—	8	1	no	—
382	C₄	—	8	1	no	—
383	C₄	—	8	1	no	—
384	C₄	—	8	1	no	—
385	C₄	—	172	8	no	—
386	C₂	—	2	2	no	—
387	C₂	—	2	2	no	—
388	C₂	#19133081	1	1	yes	characteristic
389	C₂	#19133086	1	1	yes	characteristic
390	C₂	#19133099	1	1	yes	characteristic
391	C₂	#19133120	1	1	yes	characteristic
392	C₂	#19135553	1	1	yes	characteristic
393	C₂	#19135573	1	1	yes	characteristic
394	C₂	#19135581	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂×C₂²⋊Dic₄₃
commutator	C₂²×C₄×C₄₃	C₂²×C₄
Frattini	C₂³×C₄	C₂²×D₄₃
Fitting	C₄₃×#2851	C₂
socle	C₂³×C₄₃	C₂×C₂²⋊C₄
prime radical	C₂⁴×C₄₃	C₂×D₄
cosocle	C₂³×C₄×C₄₃	C₂³
hypercenter	#2851	D₄₃
hypocenter	C₄₃	#9910
LCS	G ▷ C₂²×C₄×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄² ◁ #2851

Complements

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

N	H ≅ G/N	type
12. C₂×#125×C₄₃	C₄	semidirect
14. C₄₃×#389	C₄	semidirect
15. C₄₃×#389	C₄	semidirect
20. C₄₃×#382	C₄	semidirect
203. C₂×#125	Dic₄₃	semidirect
208. #389	Dic₄₃	semidirect
209. #389	Dic₄₃	semidirect
214. #382	Dic₄₃	semidirect
220. C₄₃	#9910	semidirect

Maximal subgroups

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

subgroup	index
#19134575	2
C₄×C₄₃⋊#95	2
#19132473	2
C₄₃×#2851	2
#9910	43