Subgroups — #19148838

Order 5504.

1014 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14583652	C₂	1	2	yes	maximal, complemented
2	#14583649	C₂	1	2	yes	maximal, complemented
3	#14583588	C₂	1	2	yes	maximal, complemented
4	#14583583	C₂	1	2	yes	maximal, complemented
5	#14583579	C₂	1	2	yes	maximal, complemented
6	#14583577	C₂	1	2	yes	maximal, complemented
7	Q₈×C₂²⋊D₄₃	C₂	1	2	yes	maximal, complemented
8	#14583562	C₂	1	2	yes	maximal, complemented
9	#14583526	C₂	1	4	yes	maximal, complemented
10	#14583509	C₂	1	2	yes	maximal, complemented
11	#14583492	C₂	1	4	yes	maximal, complemented
12	#14583470	C₂	1	1	yes	maximal, characteristic, complemented
13	#14583406	C₂	1	1	yes	maximal, characteristic
14	C₂²⋊Q₈×D₄₃	C₂	1	2	yes	maximal, complemented
15	C₄₃×#536	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
17	C₂×Q₈×D₄₃	C₂²	1	2	yes	—
18	C₂²×C₄×D₄₃	C₂²	1	1	yes	characteristic
19	#13063324	C₂²	1	4	yes	complemented
20	#13063323	C₂²	1	2	yes	complemented
21	#13063323	C₂²	1	4	yes	complemented
22	#13063323	C₂²	1	2	yes	complemented
23	#13063318	C₂²	1	4	yes	—
24	#13063318	C₂²	1	4	yes	—
25	#13063318	C₂²	1	4	yes	complemented
26	#13063318	C₂²	1	4	yes	complemented
27	#13063317	C₂²	1	4	yes	complemented
28	#13063316	C₂²	1	2	yes	complemented
29	#13063316	C₂²	1	4	yes	complemented
30	#13063315	C₂²	1	4	yes	complemented
31	#13063315	C₂²	1	4	yes	complemented
32	#13063312	C₂²	1	2	yes	—
33	#13063307	C₂²	1	4	yes	—
34	#13063307	C₂²	1	4	yes	—
35	#13063306	C₂²	1	2	yes	—
36	#13063306	C₂²	1	1	yes	characteristic
37	#13063306	C₂²	1	1	yes	characteristic
38	#13063306	C₂²	1	2	yes	complemented
39	#13063305	C₂²	1	2	yes	—
40	#13063304	C₂²	1	2	yes	—
41	#13063304	C₂²	1	2	yes	complemented
42	#13063304	C₂²	1	4	yes	complemented
43	#13063303	C₂²	1	4	yes	—
44	#13063303	C₂²	1	4	yes	—
45	#13063302	C₂²	1	4	yes	—
46	#13063302	C₂²	1	4	yes	complemented
47	#13063301	C₂²	1	4	yes	—
48	#13063301	C₂²	1	2	yes	—
49	#13063301	C₂²	1	2	yes	—
50	#13063296	C₂²	1	2	yes	—
51	#13063293	C₂²	1	1	yes	characteristic
52	#13063293	C₂²	1	1	yes	characteristic
53	Q₈×Dic₄₃	C₂²	1	2	yes	complemented
54	#13063290	C₂²	1	2	yes	complemented
55	C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
56	C₄×C₂²⋊D₄₃	C₂²	1	4	yes	—
57	C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
58	(C₂²⋊D₄₃)⋊C₄	C₂²	1	4	yes	—
59	#13063284	C₂²	1	1	yes	characteristic
60	#13063284	C₂²	1	1	yes	characteristic, complemented
61	#13063283	C₂²	1	4	yes	—
62	#13063282	C₂²	1	4	yes	—
63	C₄⋊C₄×D₄₃	C₂²	1	2	yes	—
64	C₄⋊C₄×D₄₃	C₂²	1	4	yes	—
65	C₂²⋊C₄×D₄₃	C₂²	1	4	yes	—
66	C₂×#41×C₄₃	C₂²	1	1	yes	characteristic
67	C₂²×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
68	C₄⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
69	#124×C₄₃	C₂²	1	2	yes	—
70	#123×C₄₃	C₂²	1	2	yes	—
71	#123×C₄₃	C₂²	1	2	yes	complemented
72	C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	—
73	C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
74	#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
75	C₂³×D₄₃	C₂³	1	1	yes	characteristic
76	#41×C₄₃	—	4	2	no	—
77	C₂×Q₈×C₄₃	—	4	2	no	—
78	C₂×Q₈×C₄₃	C₂³	1	2	yes	—
79	C₂×Q₈×C₄₃	C₂³	1	2	yes	—
80	C₂×Q₈×C₄₃	C₂³	1	1	yes	characteristic
81	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
82	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
83	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
84	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
85	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
86	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
87	C₂²×C₄×C₄₃	C₂³	1	2	yes	—
88	C₂×C₂²⋊D₄₃	C₂³	1	2	yes	—
89	C₂×C₂²⋊D₄₃	C₂³	1	2	yes	—
90	C₂²×Dic₄₃	C₂³	1	2	yes	—
91	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
92	Q₈×D₄₃	—	4	4	no	—
93	C₂×C₄×D₄₃	—	4	2	no	—
94	C₂×C₄×D₄₃	C₂³	1	4	yes	—
95	C₂×C₄×D₄₃	C₂³	1	2	yes	—
96	C₂×C₄×D₄₃	C₂³	1	4	yes	—
97	C₂×C₄×D₄₃	C₂³	1	2	yes	—
98	C₂×Dic₈₆	—	4	2	no	—
99	C₂×Dic₈₆	C₂³	1	2	yes	—
100	C₂×Dic₈₆	C₂³	1	4	yes	—
101	C₂×Dic₈₆	C₂³	1	2	yes	—
102	C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
103	C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
104	C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
105	C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
106	C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
107	C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
108	C₄²×C₄₃	C₂³	1	2	yes	—
109	C₂²⋊Dic₄₃	C₂³	1	4	yes	—
110	C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
111	C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
112	C₂²⋊Dic₄₃	C₂³	1	2	yes	—
113	C₂²⋊Dic₄₃	C₂³	1	2	yes	—
114	C₂²⋊Dic₄₃	C₂³	1	2	yes	—
115	C₂²⋊Dic₄₃	C₂³	1	4	yes	—
116	(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
117	(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
118	(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
119	(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
120	C₄⋊Dic₄₃	C₂³	1	2	yes	—
121	C₄⋊Dic₄₃	C₂³	1	4	yes	—
122	C₄⋊Dic₄₃	C₂³	1	4	yes	—
123	C₄⋊Dic₄₃	C₂³	1	2	yes	—
124	C₄⋊Dic₄₃	C₂³	1	4	yes	—
125	Dic₄₃⋊C₄	C₂³	1	4	yes	—
126	Dic₄₃⋊C₄	C₂³	1	4	yes	—
127	Dic₄₃⋊C₄	C₂³	1	4	yes	—
128	Dic₄₃⋊C₄	C₂³	1	4	yes	—
129	Dic₄₃⋊C₄	C₂³	1	4	yes	—
130	Dic₄₃⋊C₄	C₂³	1	4	yes	—
131	Dic₄₃⋊C₄	C₂³	1	2	yes	—
132	Dic₄₃⋊C₄	C₂³	1	2	yes	—
133	Dic₄₃⋊C₄	C₂³	1	4	yes	—
134	Dic₄₃⋊C₄	C₂³	1	4	yes	—
135	C₄×Dic₄₃	C₂³	1	4	yes	—
136	C₄×Dic₄₃	C₂³	1	2	yes	—
137	C₄×Dic₄₃	C₂³	1	4	yes	—
138	C₄×Dic₄₃	C₂³	1	2	yes	—
139	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
140	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
141	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
142	C₂²×D₄₃	—	2	4	no	—
143	C₂²×D₄₃	—	4	1	no	—
144	C₂²×D₄₃	C₂⁴	1	2	yes	—
145	Q₈×C₄₃	—	2	4	no	—
146	Q₈×C₄₃	—	4	2	no	—
147	Q₈×C₄₃	—	4	1	no	—
148	D₄×C₄₃	—	4	1	no	—
149	D₄×C₄₃	—	4	1	no	—
150	D₄×C₄₃	—	4	1	no	—
151	C₂×C₄×C₄₃	—	2	2	no	—
152	C₂×C₄×C₄₃	—	2	2	no	—
153	C₂×C₄×C₄₃	—	2	2	no	—
154	C₂×C₄×C₄₃	—	4	2	no	—
155	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
156	C₂×C₄×C₄₃	C₂⁴	1	4	yes	—
157	C₂×C₄×C₄₃	C₂⁴	1	4	yes	—
158	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
159	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
160	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
161	C₂²⋊D₄₃	—	2	4	no	—
162	C₂²⋊D₄₃	—	2	4	no	—
163	C₂×Dic₄₃	—	4	2	no	—
164	C₂×Dic₄₃	—	4	1	no	—
165	C₂×Dic₄₃	C₂⁴	1	2	yes	—
166	C₂×Dic₄₃	C₂⁴	1	2	yes	—
167	C₂×Dic₄₃	C₂⁴	1	4	yes	—
168	C₂×Dic₄₃	C₂⁴	1	4	yes	—
169	C₂×Dic₄₃	C₂⁴	1	2	yes	—
170	C₄×D₄₃	—	2	8	no	—
171	C₄×D₄₃	—	2	4	no	—
172	C₄×D₄₃	—	4	2	no	—
173	C₄×D₄₃	—	4	4	no	—
174	Dic₈₆	—	2	4	no	—
175	Dic₈₆	—	4	2	no	—
176	Dic₈₆	—	4	4	no	—
177	C₂²×C₄₃	—	2	1	no	—
178	C₂²×C₄₃	—	2	1	no	—
179	C₂²×C₄₃	—	2	1	no	—
180	C₂²×C₄₃	—	2	2	no	—
181	C₂²×C₄₃	—	2	2	no	—
182	C₂²×C₄₃	—	2	2	no	—
183	C₂²×C₄₃	C₂⁵	1	1	yes	characteristic
184	C₂×D₄₃	—	2	2	no	—
185	C₂×D₄₃	—	2	2	no	—
186	C₂×D₄₃	—	4	4	no	—
187	C₂×D₄₃	2₋¹⁺⁴	1	4	yes	—
188	C₄×C₄₃	—	2	1	no	—
189	C₄×C₄₃	—	2	4	no	—
190	C₄×C₄₃	—	2	1	no	—
191	C₄×C₄₃	—	2	1	no	—
192	C₄×C₄₃	—	2	4	no	—
193	C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
194	Dic₄₃	—	2	4	no	—
195	Dic₄₃	—	2	2	no	—
196	Dic₄₃	—	2	4	no	—
197	Dic₄₃	—	2	2	no	—
198	Dic₄₃	—	2	2	no	—
199	#3538	—	43	1	no	maximal, Sylow
200	C₂×C₄₃	—	4	1	no	—
201	C₂×C₄₃	—	4	1	no	—
202	C₂×C₄₃	—	4	1	no	—
203	C₂×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
204	C₂×C₄₃	C₂×2₋¹⁺⁴	1	2	yes	—
205	D₄₃	—	2	4	no	—
206	#563	—	43	2	no	—
207	#563	—	43	2	no	—
208	#552	—	43	2	no	—
209	#552	—	43	2	no	—
210	#551	—	43	2	no	—
211	#551	—	43	2	no	—
212	D₄×Q₈	—	43	2	no	—
213	D₄×Q₈	—	43	2	no	—
214	#544	—	43	4	no	—
215	#541	—	43	2	no	—
216	#539	—	43	4	no	—
217	#536	—	43	1	no	—
218	#536	D₄₃	1	1	yes	characteristic, complemented
219	#525	—	43	1	no	—
220	C₂×C₂²⋊Q₈	—	43	2	no	—
221	C₄₃	#3538	1	1	yes	characteristic, complemented, Sylow
222	C₂×#41	C₂×D₄₃	1	1	yes	characteristic
223	C₂²×Q₈	—	43	2	no	—
224	C₂²×Q₈	—	43	1	no	—
225	C₂²×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
226	C₂³×C₄	—	43	1	no	—
227	C₄⋊Q₈	—	43	2	no	—
228	C₄⋊Q₈	—	43	2	no	—
229	C₄⋊Q₈	—	43	4	no	—
230	C₄⋊Q₈	—	43	4	no	—
231	C₄⋊Q₈	C₂×D₄₃	1	2	yes	complemented
232	#126	—	43	4	no	—
233	#126	—	43	4	no	—
234	#126	—	43	4	no	—
235	#126	—	43	4	no	—
236	#125	—	43	4	no	—
237	#125	—	43	4	no	—
238	#125	—	43	2	no	—
239	#125	—	43	4	no	—
240	#125	—	43	4	no	—
241	#124	—	43	2	no	—
242	#124	C₂×D₄₃	1	2	yes	—
243	#123	—	43	1	no	—
244	#123	—	43	1	no	—
245	#123	—	43	2	no	—
246	#123	—	43	2	no	—
247	#123	—	43	4	no	—
248	#123	—	43	4	no	—
249	#123	C₂×D₄₃	1	2	yes	—
250	#123	C₂×D₄₃	1	2	yes	complemented
251	C₂²⋊Q₈	—	43	2	no	—
252	C₂²⋊Q₈	—	43	2	no	—
253	C₂²⋊Q₈	—	43	4	no	—
254	C₂²⋊Q₈	—	43	2	no	—
255	C₂²⋊Q₈	—	43	2	no	—
256	C₂²⋊Q₈	—	43	4	no	—
257	C₂²⋊Q₈	—	43	4	no	—
258	C₂²⋊Q₈	—	43	2	no	—
259	C₂²⋊Q₈	—	43	4	no	—
260	C₂²⋊Q₈	—	43	4	no	—
261	C₂²⋊Q₈	—	43	4	no	—
262	C₂²⋊Q₈	C₂×D₄₃	1	2	yes	—
263	C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
264	#121	—	43	2	no	—
265	#120	—	43	1	no	—
266	#120	—	43	1	no	—
267	C₄×Q₈	—	43	2	no	—
268	C₄×Q₈	—	43	2	no	—
269	C₄×D₄	—	43	2	no	—
270	C₄×D₄	—	43	2	no	—
271	C₄×D₄	—	43	4	no	—
272	C₄×D₄	—	43	4	no	—
273	#117	—	43	1	no	—
274	#117	—	43	1	no	—
275	#117	—	43	4	no	—
276	#117	—	43	4	no	—
277	#117	C₂×D₄₃	1	1	yes	characteristic, complemented
278	C₂×C₄⋊C₄	—	43	4	no	—
279	C₂×C₄⋊C₄	—	43	2	no	—
280	C₂×C₂²⋊C₄	—	43	4	no	—
281	C₂⁴	—	43	1	no	—
282	#41	—	4	2	no	—
283	C₂×Q₈	—	4	2	no	—
284	C₂×Q₈	—	43	2	no	—
285	C₂×Q₈	—	43	4	no	—
286	C₂×Q₈	—	43	2	no	—
287	C₂×Q₈	—	172	2	no	—
288	C₂×Q₈	—	172	4	no	—
289	C₂×Q₈	C₂²×D₄₃	1	2	yes	—
290	C₂×Q₈	C₂²×D₄₃	1	2	yes	—
291	C₂×Q₈	C₂²×D₄₃	1	1	yes	characteristic
292	C₂×D₄	—	43	2	no	—
293	C₂×D₄	—	43	2	no	—
294	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
295	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
296	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
297	C₂²×C₄	—	43	2	no	—
298	C₂²×C₄	—	43	1	no	—
299	C₂²×C₄	—	43	4	no	—
300	C₂²×C₄	—	43	2	no	—
301	C₂²×C₄	—	43	4	no	—
302	C₂²×C₄	—	43	2	no	—
303	C₂²×C₄	—	172	2	no	—
304	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
305	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
306	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
307	C₂²×C₄	C₂²×D₄₃	1	2	yes	—
308	C₄⋊C₄	—	43	2	no	—
309	C₄⋊C₄	—	43	4	no	—
310	C₄⋊C₄	—	43	4	no	—
311	C₄⋊C₄	—	43	4	no	—
312	C₄⋊C₄	—	43	4	no	—
313	C₄⋊C₄	—	43	2	no	—
314	C₄⋊C₄	—	43	4	no	—
315	C₄⋊C₄	—	43	4	no	—
316	C₄⋊C₄	—	43	4	no	—
317	C₄⋊C₄	—	43	4	no	—
318	C₄⋊C₄	—	43	4	no	—
319	C₄⋊C₄	—	43	2	no	—
320	C₄⋊C₄	—	43	2	no	—
321	C₄⋊C₄	—	43	4	no	—
322	C₄⋊C₄	—	43	4	no	—
323	C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
324	C₄⋊C₄	C₂²×D₄₃	1	4	yes	—
325	C₄⋊C₄	C₂²×D₄₃	1	4	yes	—
326	C₂²⋊C₄	—	43	4	no	—
327	C₂²⋊C₄	—	43	1	no	—
328	C₂²⋊C₄	—	43	1	no	—
329	C₂²⋊C₄	—	43	2	no	—
330	C₂²⋊C₄	—	43	2	no	—
331	C₂²⋊C₄	—	43	2	no	—
332	C₂²⋊C₄	—	43	4	no	—
333	C₂²⋊C₄	—	43	4	no	—
334	C₂²⋊C₄	—	43	4	no	—
335	C₂²⋊C₄	—	43	2	no	—
336	C₂²⋊C₄	—	43	2	no	—
337	C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
338	C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
339	C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
340	C₄²	—	43	2	no	—
341	C₄²	—	43	2	no	—
342	C₄²	—	43	4	no	—
343	C₄²	—	43	4	no	—
344	C₄²	C₂²×D₄₃	1	2	yes	—
345	C₂³	—	43	2	no	—
346	C₂³	—	86	4	no	—
347	C₂³	—	172	1	no	—
348	C₂³	C₂³×D₄₃	1	1	yes	characteristic
349	C₂³	C₂³×D₄₃	1	1	yes	characteristic
350	C₂³	C₂³×D₄₃	1	1	yes	characteristic
351	Q₈	—	2	4	no	—
352	Q₈	—	4	2	no	—
353	Q₈	—	4	1	no	—
354	Q₈	—	86	4	no	—
355	Q₈	—	172	2	no	—
356	Q₈	—	172	4	no	—
357	D₄	—	4	1	no	—
358	D₄	—	4	1	no	—
359	D₄	—	4	1	no	—
360	D₄	—	86	4	no	—
361	D₄	—	86	4	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	2	2	no	—
364	C₂×C₄	—	2	2	no	—
365	C₂×C₄	—	4	2	no	—
366	C₂×C₄	—	43	2	no	—
367	C₂×C₄	—	43	2	no	—
368	C₂×C₄	—	43	4	no	—
369	C₂×C₄	—	43	4	no	—
370	C₂×C₄	—	43	2	no	—
371	C₂×C₄	—	86	8	no	—
372	C₂×C₄	—	86	4	no	—
373	C₂×C₄	—	172	2	no	—
374	C₂×C₄	—	172	4	no	—
375	C₂×C₄	—	172	1	no	—
376	C₂×C₄	—	172	2	no	—
377	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
378	C₂×C₄	C₂³×D₄₃	1	4	yes	—
379	C₂×C₄	C₂³×D₄₃	1	4	yes	—
380	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
381	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
382	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
383	C₂²	—	2	1	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	2	2	no	—
387	C₂²	—	2	2	no	—
388	C₂²	—	2	2	no	—
389	C₂²	—	43	4	no	—
390	C₂²	—	86	2	no	—
391	C₂²	—	86	2	no	—
392	C₂²	—	172	4	no	—
393	C₂²	C₂⁴×D₄₃	1	1	yes	characteristic
394	C₄	—	2	1	no	—
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	2	4	no	—
398	C₄	—	2	4	no	—
399	C₄	—	86	2	no	—
400	C₄	—	86	4	no	—
401	C₄	—	86	4	no	—
402	C₄	—	86	2	no	—
403	C₄	—	86	2	no	—
404	C₄	#13063370	1	2	yes	—
405	C₂	—	4	1	no	—
406	C₂	—	4	1	no	—
407	C₂	—	4	1	no	—
408	C₂	—	86	4	no	—
409	C₂	C₂×#13063370	1	1	yes	characteristic
410	C₂	2₋¹⁺⁴×D₄₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁵
Fitting	C₄₃×#536	C₂
hypercenter	#536	D₄₃
hypocenter	C₄₃	#3538
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #536

Complements

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

N	H ≅ G/N	type
1. #14583652	C₂	semidirect
2. #14583649	C₂	semidirect
3. #14583588	C₂	semidirect
4. #14583583	C₂	semidirect
5. #14583579	C₂	semidirect
6. #14583577	C₂	semidirect
7. Q₈×C₂²⋊D₄₃	C₂	semidirect
8. #14583562	C₂	semidirect
9. #14583526	C₂	semidirect
10. #14583509	C₂	semidirect
11. #14583492	C₂	semidirect
12. #14583470	C₂	semidirect
14. C₂²⋊Q₈×D₄₃	C₂	semidirect
15. C₄₃×#536	C₂	semidirect
16. C₂²×Dic₈₆	C₂²	semidirect
19. #13063324	C₂²	semidirect
20. #13063323	C₂²	semidirect
21. #13063323	C₂²	semidirect
22. #13063323	C₂²	semidirect
25. #13063318	C₂²	semidirect
26. #13063318	C₂²	semidirect
27. #13063317	C₂²	semidirect
28. #13063316	C₂²	semidirect
29. #13063316	C₂²	semidirect
30. #13063315	C₂²	semidirect
31. #13063315	C₂²	semidirect
38. #13063306	C₂²	semidirect
41. #13063304	C₂²	semidirect
42. #13063304	C₂²	semidirect
46. #13063302	C₂²	semidirect
53. Q₈×Dic₄₃	C₂²	semidirect
54. #13063290	C₂²	semidirect
60. #13063284	C₂²	semidirect
67. C₂²×Q₈×C₄₃	C₂²	semidirect
68. C₄⋊Q₈×C₄₃	C₂²	semidirect
71. #123×C₄₃	C₂²	semidirect
73. C₂²⋊Q₈×C₄₃	C₂²	semidirect
74. #117×C₄₃	C₂²	semidirect
218. #536	D₄₃	semidirect
221. C₄₃	#3538	semidirect
225. C₂²×Q₈	C₂×D₄₃	semidirect
231. C₄⋊Q₈	C₂×D₄₃	semidirect
250. #123	C₂×D₄₃	semidirect
263. C₂²⋊Q₈	C₂×D₄₃	semidirect
277. #117	C₂×D₄₃	semidirect