Subgroups — C₄₃×#19004 #24939021

Order 11008.

896 conjugacy classes of subgroups.

The subgroup lattice has 424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₃×#3531	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₃×#3217	C₂	1	2	yes	maximal, complemented
3	C₄₃×#3138	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₃×#1658	C₂	1	2	yes	maximal, complemented
5	C₄₃×#1657	C₂	1	4	yes	maximal, complemented
6	C₄₃×#1656	C₂	1	2	yes	maximal, complemented
7	C₄₃×#1537	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₃×#1529	C₂	1	2	yes	maximal, complemented
9	C₄₃×#564	C₂²	1	1	yes	characteristic, complemented
10	C₄₃×#563	—	2	2	no	—
11	C₄₃×#563	—	2	2	no	—
12	C₄₃×#563	C₂²	1	2	yes	complemented
13	C₄₃×#562	—	2	2	no	—
14	C₄₃×#562	C₂²	1	1	yes	characteristic, complemented
15	C₄₃×#533	—	2	2	no	—
16	C₄₃×#533	C₂²	1	1	yes	characteristic
17	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
18	C₄₃×#529	—	2	2	no	—
19	C₄₃×#529	—	2	2	no	—
20	C₄₃×#529	C₂²	1	2	yes	—
21	C₄₃×#496	C₂²	1	4	yes	—
22	C₄₃×#490	C₂²	1	2	yes	—
23	C₄₃×#490	C₂²	1	2	yes	—
24	C₄₃×#490	C₂²	1	4	yes	—
25	C₄₃×#486	—	2	2	no	—
26	C₄₃×#460	—	2	2	no	—
27	C₄₃×#459	—	2	2	no	—
28	C₄₃×#450	—	2	2	no	—
29	C₄₃×#447	—	2	2	no	—
30	C₄₃×#432	C₂²	1	2	yes	—
31	C₄₃×#418	—	2	2	no	—
32	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
33	C₄₃×#330	C₂²	1	2	yes	complemented
34	C₄₃×#330	C₂²	1	2	yes	complemented
35	C₄₃×#330	C₂²	1	4	yes	complemented
36	C₄₃×#329	C₂²	1	4	yes	complemented
37	C₂²×D₄×C₄₃	—	2	1	no	—
38	C₂²×D₄×C₄₃	—	2	2	no	—
39	C₂×SD₁₆×C₄₃	—	2	4	no	—
40	C₂×D₈×C₄₃	—	2	4	no	—
41	C₂×M₁₆×C₄₃	—	2	1	no	—
42	C₄⋊Q₈×C₄₃	—	2	2	no	—
43	C₄⋊Q₈×C₄₃	—	2	2	no	—
44	C₄⋊Q₈×C₄₃	D₄	1	2	yes	—
45	#127×C₄₃	—	2	2	no	—
46	#127×C₄₃	—	2	1	no	—
47	#127×C₄₃	C₂³	1	2	yes	—
48	#126×C₄₃	—	2	2	no	—
49	#126×C₄₃	—	2	2	no	—
50	#126×C₄₃	—	2	2	no	—
51	#126×C₄₃	—	2	2	no	—
52	#126×C₄₃	—	2	2	no	—
53	#125×C₄₃	—	2	2	no	—
54	#125×C₄₃	—	2	2	no	—
55	#125×C₄₃	—	2	2	no	—
56	#125×C₄₃	—	2	2	no	—
57	#125×C₄₃	C₂³	1	2	yes	—
58	#125×C₄₃	C₂³	1	1	yes	characteristic
59	#125×C₄₃	C₂³	1	1	yes	characteristic
60	#124×C₄₃	—	2	2	no	—
61	#124×C₄₃	—	2	2	no	—
62	#124×C₄₃	C₂³	1	2	yes	—
63	#123×C₄₃	—	2	2	no	—
64	#123×C₄₃	—	2	2	no	—
65	#123×C₄₃	—	2	2	no	—
66	#123×C₄₃	—	2	2	no	—
67	#123×C₄₃	—	2	2	no	—
68	C₂²⋊Q₈×C₄₃	—	2	2	no	—
69	C₂²⋊Q₈×C₄₃	—	2	2	no	—
70	C₂²⋊Q₈×C₄₃	—	2	2	no	—
71	C₂²⋊Q₈×C₄₃	—	2	2	no	—
72	C₂²⋊Q₈×C₄₃	—	2	2	no	—
73	C₂²⋊Q₈×C₄₃	—	2	2	no	—
74	C₂²⋊Q₈×C₄₃	—	2	2	no	—
75	C₂²⋊Q₈×C₄₃	D₄	1	2	yes	—
76	#121×C₄₃	—	2	2	no	—
77	#121×C₄₃	—	2	2	no	—
78	#121×C₄₃	D₄	1	2	yes	—
79	C₄×Q₈×C₄₃	—	2	2	no	—
80	C₄×Q₈×C₄₃	—	2	2	no	—
81	C₄×Q₈×C₄₃	D₄	1	2	yes	—
82	C₄×D₄×C₄₃	—	2	2	no	—
83	C₄×D₄×C₄₃	—	2	2	no	—
84	C₄×D₄×C₄₃	D₄	1	2	yes	—
85	#117×C₄₃	—	2	2	no	—
86	#117×C₄₃	—	2	2	no	—
87	#117×C₄₃	D₄	1	2	yes	—
88	C₂×C₄²×C₄₃	—	2	2	no	—
89	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
90	C₄⋊C₈×C₄₃	—	2	2	no	—
91	#102×C₄₃	—	2	4	no	—
92	#102×C₄₃	—	2	4	no	—
93	#102×C₄₃	—	2	4	no	—
94	#102×C₄₃	—	2	4	no	—
95	C₂²⋊C₈×C₄₃	—	2	2	no	—
96	#97×C₄₃	C₂³	1	2	yes	—
97	#97×C₄₃	C₂³	1	4	yes	—
98	C₄×C₈×C₄₃	—	2	1	no	—
99	C₂⁴×C₄₃	—	4	1	no	—
100	C₂×Q₈×C₄₃	—	2	2	no	—
101	C₂×Q₈×C₄₃	—	2	2	no	—
102	C₂×Q₈×C₄₃	C₂×D₄	1	2	yes	—
103	C₂×D₄×C₄₃	—	2	2	no	—
104	C₂×D₄×C₄₃	—	2	2	no	—
105	C₂×D₄×C₄₃	—	2	2	no	—
106	C₂×D₄×C₄₃	—	2	4	no	—
107	C₂×D₄×C₄₃	—	4	2	no	—
108	C₂×D₄×C₄₃	—	4	1	no	—
109	C₂×D₄×C₄₃	—	4	4	no	—
110	C₂×D₄×C₄₃	—	8	4	no	—
111	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
112	C₂²×C₄×C₄₃	—	2	2	no	—
113	C₂²×C₄×C₄₃	—	2	2	no	—
114	C₂²×C₄×C₄₃	—	2	2	no	—
115	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
116	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
117	SD₁₆×C₄₃	—	8	4	no	—
118	D₈×C₄₃	—	8	4	no	—
119	M₁₆×C₄₃	—	4	2	no	—
120	C₂×C₈×C₄₃	—	2	2	no	—
121	C₂×C₈×C₄₃	—	2	4	no	—
122	C₄⋊C₄×C₄₃	—	2	2	no	—
123	C₄⋊C₄×C₄₃	—	2	2	no	—
124	C₄⋊C₄×C₄₃	—	2	2	no	—
125	C₄⋊C₄×C₄₃	—	2	2	no	—
126	C₄⋊C₄×C₄₃	—	2	2	no	—
127	C₄⋊C₄×C₄₃	—	2	2	no	—
128	C₄⋊C₄×C₄₃	—	2	2	no	—
129	C₄⋊C₄×C₄₃	—	2	2	no	—
130	C₄⋊C₄×C₄₃	—	2	2	no	—
131	C₄⋊C₄×C₄₃	—	2	2	no	—
132	C₄⋊C₄×C₄₃	—	2	2	no	—
133	C₄⋊C₄×C₄₃	—	2	2	no	—
134	C₄⋊C₄×C₄₃	—	2	2	no	—
135	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
136	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
137	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
138	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
139	C₂²⋊C₄×C₄₃	—	2	2	no	—
140	C₂²⋊C₄×C₄₃	—	2	2	no	—
141	C₂²⋊C₄×C₄₃	—	2	2	no	—
142	C₂²⋊C₄×C₄₃	—	2	2	no	—
143	C₂²⋊C₄×C₄₃	—	2	2	no	—
144	C₂²⋊C₄×C₄₃	—	2	2	no	—
145	C₂²⋊C₄×C₄₃	—	2	2	no	—
146	C₂²⋊C₄×C₄₃	—	2	2	no	—
147	C₂²⋊C₄×C₄₃	—	2	2	no	—
148	C₂²⋊C₄×C₄₃	—	2	2	no	—
149	C₄²×C₄₃	—	2	2	no	—
150	C₄²×C₄₃	—	2	2	no	—
151	C₄²×C₄₃	—	2	2	no	—
152	C₄²×C₄₃	—	2	2	no	—
153	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
154	C₄²×C₄₃	C₂×D₄	1	2	yes	—
155	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
156	C₂³×C₄₃	—	2	2	no	—
157	C₂³×C₄₃	—	4	2	no	—
158	C₂³×C₄₃	—	8	2	no	—
159	C₂³×C₄₃	—	8	4	no	—
160	C₂³×C₄₃	#120	1	1	yes	characteristic
161	Q₈×C₄₃	—	4	2	no	—
162	Q₈×C₄₃	—	8	2	no	—
163	Q₈×C₄₃	—	8	2	no	—
164	D₄×C₄₃	—	4	2	no	—
165	D₄×C₄₃	—	4	4	no	—
166	D₄×C₄₃	—	4	4	no	—
167	D₄×C₄₃	—	4	4	no	—
168	D₄×C₄₃	—	8	4	no	—
169	D₄×C₄₃	—	8	2	no	—
170	D₄×C₄₃	—	8	2	no	—
171	D₄×C₄₃	—	8	2	no	—
172	C₂×C₄×C₄₃	—	2	2	no	—
173	C₂×C₄×C₄₃	—	2	2	no	—
174	C₂×C₄×C₄₃	—	2	2	no	—
175	C₂×C₄×C₄₃	—	2	2	no	—
176	C₂×C₄×C₄₃	—	2	2	no	—
177	C₂×C₄×C₄₃	—	2	2	no	—
178	C₂×C₄×C₄₃	—	4	2	no	—
179	C₂×C₄×C₄₃	—	4	4	no	—
180	C₂×C₄×C₄₃	—	8	2	no	—
181	C₂×C₄×C₄₃	—	8	2	no	—
182	C₂×C₄×C₄₃	#120	1	2	yes	—
183	C₂×C₄×C₄₃	#120	1	1	yes	characteristic
184	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
185	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
186	C₈×C₄₃	—	4	2	no	—
187	C₈×C₄₃	—	4	4	no	—
188	#19004	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
189	C₂²×C₄₃	—	2	1	no	—
190	C₂²×C₄₃	—	2	2	no	—
191	C₂²×C₄₃	—	4	2	no	—
192	C₂²×C₄₃	—	4	2	no	—
193	C₂²×C₄₃	—	4	2	no	—
194	C₂²×C₄₃	—	8	2	no	—
195	C₂²×C₄₃	—	8	4	no	—
196	C₂²×C₄₃	—	16	4	no	—
197	C₂²×C₄₃	C₂×#120	1	1	yes	characteristic
198	C₄×C₄₃	—	2	1	no	—
199	C₄×C₄₃	—	2	2	no	—
200	C₄×C₄₃	—	2	2	no	—
201	C₄×C₄₃	—	4	2	no	—
202	C₄×C₄₃	—	4	2	no	—
203	C₄×C₄₃	—	4	2	no	—
204	C₄×C₄₃	—	4	2	no	—
205	C₄×C₄₃	—	4	2	no	—
206	C₄×C₄₃	#454	1	2	yes	—
207	#3531	C₂×C₄₃	1	1	yes	characteristic, complemented
208	#3217	C₂×C₄₃	1	2	yes	complemented
209	#3138	C₂×C₄₃	1	1	yes	characteristic, complemented
210	#1658	C₂×C₄₃	1	2	yes	complemented
211	#1657	C₂×C₄₃	1	4	yes	complemented
212	#1656	C₂×C₄₃	1	2	yes	complemented
213	#1537	C₂×C₄₃	1	1	yes	characteristic, complemented
214	#1529	C₂×C₄₃	1	2	yes	complemented
215	C₂×C₄₃	—	4	1	no	—
216	C₂×C₄₃	—	8	2	no	—
217	C₂×C₄₃	—	16	2	no	—
218	C₂×C₄₃	C₂×#454	1	1	yes	characteristic
219	C₂×C₄₃	#3021	1	2	yes	—
220	#564	C₂²×C₄₃	1	1	yes	characteristic, complemented
221	#563	—	2	2	no	—
222	#563	—	2	2	no	—
223	#563	C₂²×C₄₃	1	2	yes	complemented
224	#562	—	2	2	no	—
225	#562	C₂²×C₄₃	1	1	yes	characteristic, complemented
226	#533	—	2	2	no	—
227	#533	C₂²×C₄₃	1	1	yes	characteristic
228	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
229	#529	—	2	2	no	—
230	#529	—	2	2	no	—
231	#529	C₂²×C₄₃	1	2	yes	—
232	#496	C₂²×C₄₃	1	4	yes	—
233	#490	C₂²×C₄₃	1	2	yes	—
234	#490	C₂²×C₄₃	1	2	yes	—
235	#490	C₂²×C₄₃	1	4	yes	—
236	#486	—	2	2	no	—
237	#460	—	2	2	no	—
238	#459	—	2	2	no	—
239	#450	—	2	2	no	—
240	#447	—	2	2	no	—
241	#432	C₂²×C₄₃	1	2	yes	—
242	#418	—	2	2	no	—
243	C₄×M₁₆	C₂²×C₄₃	1	1	yes	characteristic
244	#330	C₂²×C₄₃	1	2	yes	complemented
245	#330	C₂²×C₄₃	1	2	yes	complemented
246	#330	C₂²×C₄₃	1	4	yes	complemented
247	#329	C₂²×C₄₃	1	4	yes	complemented
248	C₄₃	#19004	1	1	yes	characteristic, direct product factor, Sylow
249	C₂²×D₄	—	2	1	no	—
250	C₂²×D₄	—	2	2	no	—
251	C₂×SD₁₆	—	2	4	no	—
252	C₂×D₈	—	2	4	no	—
253	C₂×M₁₆	—	2	1	no	—
254	C₄⋊Q₈	—	2	2	no	—
255	C₄⋊Q₈	—	2	2	no	—
256	C₄⋊Q₈	D₄×C₄₃	1	2	yes	—
257	#127	—	2	2	no	—
258	#127	—	2	1	no	—
259	#127	C₂³×C₄₃	1	2	yes	—
260	#126	—	2	2	no	—
261	#126	—	2	2	no	—
262	#126	—	2	2	no	—
263	#126	—	2	2	no	—
264	#126	—	2	2	no	—
265	#125	—	2	2	no	—
266	#125	—	2	2	no	—
267	#125	—	2	2	no	—
268	#125	—	2	2	no	—
269	#125	C₂³×C₄₃	1	2	yes	—
270	#125	C₂³×C₄₃	1	1	yes	characteristic
271	#125	C₂³×C₄₃	1	1	yes	characteristic
272	#124	—	2	2	no	—
273	#124	—	2	2	no	—
274	#124	C₂³×C₄₃	1	2	yes	—
275	#123	—	2	2	no	—
276	#123	—	2	2	no	—
277	#123	—	2	2	no	—
278	#123	—	2	2	no	—
279	#123	—	2	2	no	—
280	C₂²⋊Q₈	—	2	2	no	—
281	C₂²⋊Q₈	—	2	2	no	—
282	C₂²⋊Q₈	—	2	2	no	—
283	C₂²⋊Q₈	—	2	2	no	—
284	C₂²⋊Q₈	—	2	2	no	—
285	C₂²⋊Q₈	—	2	2	no	—
286	C₂²⋊Q₈	—	2	2	no	—
287	C₂²⋊Q₈	D₄×C₄₃	1	2	yes	—
288	#121	—	2	2	no	—
289	#121	—	2	2	no	—
290	#121	D₄×C₄₃	1	2	yes	—
291	C₄×Q₈	—	2	2	no	—
292	C₄×Q₈	—	2	2	no	—
293	C₄×Q₈	D₄×C₄₃	1	2	yes	—
294	C₄×D₄	—	2	2	no	—
295	C₄×D₄	—	2	2	no	—
296	C₄×D₄	D₄×C₄₃	1	2	yes	—
297	#117	—	2	2	no	—
298	#117	—	2	2	no	—
299	#117	D₄×C₄₃	1	2	yes	—
300	C₂×C₄²	—	2	2	no	—
301	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
302	C₄⋊C₈	—	2	2	no	—
303	#102	—	2	4	no	—
304	#102	—	2	4	no	—
305	#102	—	2	4	no	—
306	#102	—	2	4	no	—
307	C₂²⋊C₈	—	2	2	no	—
308	#97	C₂³×C₄₃	1	2	yes	—
309	#97	C₂³×C₄₃	1	4	yes	—
310	C₄×C₈	—	2	1	no	—
311	C₂⁴	—	4	1	no	—
312	C₂×Q₈	—	2	2	no	—
313	C₂×Q₈	—	2	2	no	—
314	C₂×Q₈	C₂×D₄×C₄₃	1	2	yes	—
315	C₂×D₄	—	2	2	no	—
316	C₂×D₄	—	2	2	no	—
317	C₂×D₄	—	2	2	no	—
318	C₂×D₄	—	2	4	no	—
319	C₂×D₄	—	4	4	no	—
320	C₂×D₄	—	4	2	no	—
321	C₂×D₄	—	4	1	no	—
322	C₂×D₄	—	8	4	no	—
323	C₂×D₄	C₂×D₄×C₄₃	1	2	yes	—
324	C₂²×C₄	—	2	2	no	—
325	C₂²×C₄	—	2	2	no	—
326	C₂²×C₄	—	2	2	no	—
327	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
328	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
329	SD₁₆	—	8	4	no	—
330	D₈	—	8	4	no	—
331	M₁₆	—	4	2	no	—
332	C₂×C₈	—	2	2	no	—
333	C₂×C₈	—	2	4	no	—
334	C₄⋊C₄	—	2	2	no	—
335	C₄⋊C₄	—	2	2	no	—
336	C₄⋊C₄	—	2	2	no	—
337	C₄⋊C₄	—	2	2	no	—
338	C₄⋊C₄	—	2	2	no	—
339	C₄⋊C₄	—	2	2	no	—
340	C₄⋊C₄	—	2	2	no	—
341	C₄⋊C₄	—	2	2	no	—
342	C₄⋊C₄	—	2	2	no	—
343	C₄⋊C₄	—	2	2	no	—
344	C₄⋊C₄	—	2	2	no	—
345	C₄⋊C₄	—	2	2	no	—
346	C₄⋊C₄	—	2	2	no	—
347	C₄⋊C₄	C₂×D₄×C₄₃	1	2	yes	—
348	C₄⋊C₄	C₂×D₄×C₄₃	1	2	yes	—
349	C₄⋊C₄	C₂×D₄×C₄₃	1	2	yes	—
350	C₄⋊C₄	C₂×D₄×C₄₃	1	2	yes	—
351	C₂²⋊C₄	—	2	2	no	—
352	C₂²⋊C₄	—	2	2	no	—
353	C₂²⋊C₄	—	2	2	no	—
354	C₂²⋊C₄	—	2	2	no	—
355	C₂²⋊C₄	—	2	2	no	—
356	C₂²⋊C₄	—	2	2	no	—
357	C₂²⋊C₄	—	2	2	no	—
358	C₂²⋊C₄	—	2	2	no	—
359	C₂²⋊C₄	—	2	2	no	—
360	C₂²⋊C₄	—	2	2	no	—
361	C₄²	—	2	2	no	—
362	C₄²	—	2	2	no	—
363	C₄²	—	2	2	no	—
364	C₄²	—	2	2	no	—
365	C₄²	C₂×D₄×C₄₃	1	1	yes	characteristic
366	C₄²	C₂×D₄×C₄₃	1	2	yes	—
367	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
368	C₂³	—	2	2	no	—
369	C₂³	—	4	2	no	—
370	C₂³	—	8	2	no	—
371	C₂³	—	8	4	no	—
372	C₂³	#120×C₄₃	1	1	yes	characteristic
373	Q₈	—	4	2	no	—
374	Q₈	—	8	2	no	—
375	Q₈	—	8	2	no	—
376	D₄	—	4	2	no	—
377	D₄	—	4	4	no	—
378	D₄	—	4	4	no	—
379	D₄	—	4	4	no	—
380	D₄	—	8	4	no	—
381	D₄	—	8	2	no	—
382	D₄	—	8	2	no	—
383	D₄	—	8	2	no	—
384	C₂×C₄	—	2	2	no	—
385	C₂×C₄	—	2	2	no	—
386	C₂×C₄	—	2	2	no	—
387	C₂×C₄	—	2	2	no	—
388	C₂×C₄	—	2	2	no	—
389	C₂×C₄	—	2	2	no	—
390	C₂×C₄	—	4	2	no	—
391	C₂×C₄	—	4	4	no	—
392	C₂×C₄	—	8	2	no	—
393	C₂×C₄	—	8	2	no	—
394	C₂×C₄	#120×C₄₃	1	2	yes	—
395	C₂×C₄	#120×C₄₃	1	1	yes	characteristic
396	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
397	C₂×C₄	C₂²×D₄×C₄₃	1	2	yes	—
398	C₈	—	4	2	no	—
399	C₈	—	4	4	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	2	2	no	—
402	C₂²	—	4	2	no	—
403	C₂²	—	4	2	no	—
404	C₂²	—	4	2	no	—
405	C₂²	—	8	2	no	—
406	C₂²	—	8	4	no	—
407	C₂²	—	16	4	no	—
408	C₂²	C₂×#120×C₄₃	1	1	yes	characteristic
409	C₄	—	2	1	no	—
410	C₄	—	2	2	no	—
411	C₄	—	2	2	no	—
412	C₄	—	4	2	no	—
413	C₄	—	4	2	no	—
414	C₄	—	4	2	no	—
415	C₄	—	4	2	no	—
416	C₄	—	4	2	no	—
417	C₄	C₄₃×#454	1	2	yes	—
418	C₂	—	4	1	no	—
419	C₂	—	8	2	no	—
420	C₂	—	16	2	no	—
421	C₂	C₂×C₄₃×#454	1	1	yes	characteristic
422	C₂	C₄₃×#3021	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₄₃	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₄₃
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄₃ ◁ C₂×C₄²×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₃×#3531	C₂	semidirect
2. C₄₃×#3217	C₂	semidirect
3. C₄₃×#3138	C₂	semidirect
4. C₄₃×#1658	C₂	semidirect
5. C₄₃×#1657	C₂	semidirect
6. C₄₃×#1656	C₂	semidirect
7. C₄₃×#1537	C₂	semidirect
8. C₄₃×#1529	C₂	semidirect
9. C₄₃×#564	C₂²	semidirect
12. C₄₃×#563	C₂²	semidirect
14. C₄₃×#562	C₂²	semidirect
33. C₄₃×#330	C₂²	semidirect
34. C₄₃×#330	C₂²	semidirect
35. C₄₃×#330	C₂²	semidirect
36. C₄₃×#329	C₂²	semidirect
188. #19004	C₄₃	direct (N × H)
207. #3531	C₂×C₄₃	semidirect
208. #3217	C₂×C₄₃	semidirect
209. #3138	C₂×C₄₃	semidirect
210. #1658	C₂×C₄₃	semidirect
211. #1657	C₂×C₄₃	semidirect
212. #1656	C₂×C₄₃	semidirect
213. #1537	C₂×C₄₃	semidirect
214. #1529	C₂×C₄₃	semidirect
220. #564	C₂²×C₄₃	semidirect
223. #563	C₂²×C₄₃	semidirect
225. #562	C₂²×C₄₃	semidirect
244. #330	C₂²×C₄₃	semidirect
245. #330	C₂²×C₄₃	semidirect
246. #330	C₂²×C₄₃	semidirect
247. #329	C₂²×C₄₃	semidirect
248. C₄₃	#19004	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₃×#3531	2
C₄₃×#3217	2
C₄₃×#3138	2
C₄₃×#1658	2
C₄₃×#1657	2
C₄₃×#1656	2
C₄₃×#1537	2
C₄₃×#1529	2
#19004	43

Subgroups — C43×#19004 #24939021

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#19004 #24939021