Subgroups — #19138850

Order 5504.

546 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13063320	C₂	1	1	yes	maximal, characteristic, complemented
2	#14582838	C₂	1	1	yes	maximal, characteristic, complemented
3	#14582837	C₂	1	1	yes	maximal, characteristic, complemented
4	#14582825	C₂	1	1	yes	maximal, characteristic, complemented
5	#14582821	C₂	1	1	yes	maximal, characteristic, complemented
6	#14582789	C₂	1	1	yes	maximal, characteristic, complemented
7	#14582785	C₂	1	1	yes	maximal, characteristic, complemented
8	#14582780	C₂	1	1	yes	maximal, characteristic, complemented
9	#14582778	C₂	1	1	yes	maximal, characteristic
10	#14582778	C₂	1	1	yes	maximal, characteristic
11	#14582778	C₂	1	1	yes	maximal, characteristic
12	#14582772	C₂	1	1	yes	maximal, characteristic, complemented
13	#14582759	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₂²⋊Dic₄₃	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂²×C₄⋊C₄×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
17	#13063320	—	2	4	no	—
18	C₂×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
20	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
21	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
22	C₂×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
23	C₂×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
24	C₂×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
25	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
26	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
27	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
28	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
29	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
30	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
31	C₂×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
32	C₂×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
33	C₄₃⋊#95	C₂²	1	1	yes	characteristic
34	C₄₃⋊#95	C₂²	1	1	yes	characteristic
35	C₄₃⋊#95	C₂²	1	1	yes	characteristic
36	C₄₃⋊#95	C₂²	1	1	yes	characteristic
37	C₄₃⋊#95	C₂²	1	1	yes	characteristic
38	C₄₃⋊#95	C₂²	1	1	yes	characteristic
39	C₄₃⋊#95	C₂²	1	1	yes	characteristic
40	C₄₃⋊#95	C₂²	1	1	yes	characteristic
41	C₄₃⋊#95	C₂²	1	1	yes	characteristic
42	C₄₃⋊#95	C₂²	1	1	yes	characteristic
43	C₄₃⋊#95	C₂²	1	1	yes	characteristic
44	C₄₃⋊#95	C₂²	1	1	yes	characteristic
45	C₂³×C₄×C₄₃	C₂²	1	1	yes	characteristic
46	C₂³×C₄×C₄₃	C₂²	1	1	yes	characteristic
47	C₂³×C₄×C₄₃	C₂²	1	1	yes	characteristic
48	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
49	C₂×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
50	C₂×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
53	C₂⁴×C₄₃	C₂³	1	1	yes	characteristic
54	C₂³×D₄₃	C₂³	1	1	yes	characteristic
55	C₂²×C₄×C₄₃	—	2	2	no	—
56	C₂²×C₄×C₄₃	—	2	2	no	—
57	C₂²×C₄×C₄₃	—	2	2	no	—
58	C₂²×C₄×C₄₃	—	2	2	no	—
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	—	4	1	no	—
63	C₂²×C₄×C₄₃	—	4	1	no	—
64	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
65	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
66	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
68	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
69	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
70	C₂×C₂²⋊D₄₃	—	2	2	no	—
71	C₂×C₂²⋊D₄₃	—	2	2	no	—
72	C₂×C₂²⋊D₄₃	—	2	2	no	—
73	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
74	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
75	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
76	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
77	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
78	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
79	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
80	C₄⋊C₄×C₄₃	—	2	2	no	—
81	C₄⋊C₄×C₄₃	—	2	2	no	—
82	C₄⋊C₄×C₄₃	—	2	2	no	—
83	C₄⋊C₄×C₄₃	D₄	1	4	yes	complemented
84	C₂²⋊Dic₄₃	—	2	2	no	—
85	C₂²⋊Dic₄₃	—	2	2	no	—
86	C₂²⋊Dic₄₃	—	2	2	no	—
87	(C₂×D₄₃)⋊C₄	—	2	2	no	—
88	(C₂×D₄₃)⋊C₄	—	2	2	no	—
89	(C₂×D₄₃)⋊C₄	—	2	2	no	—
90	(C₂×D₄₃)⋊C₄	—	2	2	no	—
91	(C₂×D₄₃)⋊C₄	—	4	1	no	—
92	(C₂×D₄₃)⋊C₄	—	4	1	no	—
93	C₄⋊Dic₄₃	—	2	2	no	—
94	C₄⋊Dic₄₃	—	4	1	no	—
95	Dic₄₃⋊C₄	—	2	2	no	—
96	Dic₄₃⋊C₄	—	2	2	no	—
97	C₄×Dic₄₃	—	2	2	no	—
98	C₄×Dic₄₃	—	4	1	no	—
99	C₂³×C₄₃	—	2	1	no	—
100	C₂³×C₄₃	—	2	1	no	—
101	C₂³×C₄₃	—	2	1	no	—
102	C₂³×C₄₃	—	2	1	no	—
103	C₂³×C₄₃	#41	1	2	yes	—
104	C₂³×C₄₃	#41	1	2	yes	—
105	C₂³×C₄₃	#41	1	2	yes	—
106	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
107	C₂²×D₄₃	—	2	1	no	—
108	C₂²×D₄₃	—	2	1	no	—
109	C₂²×D₄₃	—	2	1	no	—
110	C₂²×D₄₃	—	2	1	no	—
111	C₂²×D₄₃	—	2	1	no	—
112	C₂²×D₄₃	—	2	1	no	—
113	C₂²×D₄₃	—	2	1	no	—
114	C₂×C₄×C₄₃	—	2	8	no	—
115	C₂×C₄×C₄₃	—	2	1	no	—
116	C₂×C₄×C₄₃	—	2	1	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	—	4	4	no	—
130	C₂×C₄×C₄₃	—	4	4	no	—
131	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
132	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
133	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
134	C₂×C₄×C₄₃	#41	1	2	yes	—
135	C₂²⋊D₄₃	—	4	4	no	—
136	C₂×Dic₄₃	—	2	1	no	—
137	C₂×Dic₄₃	—	2	1	no	—
138	C₂×Dic₄₃	—	2	1	no	—
139	C₂×Dic₄₃	—	2	1	no	—
140	C₂×Dic₄₃	—	2	1	no	—
141	C₂×Dic₄₃	—	2	1	no	—
142	C₂×Dic₄₃	—	2	1	no	—
143	C₂×Dic₄₃	—	2	1	no	—
144	C₂×Dic₄₃	—	2	1	no	—
145	C₂×Dic₄₃	—	2	1	no	—
146	C₂×Dic₄₃	—	2	1	no	—
147	C₂×Dic₄₃	—	2	1	no	—
148	C₂×Dic₄₃	—	2	1	no	—
149	C₂×Dic₄₃	—	2	1	no	—
150	C₂×Dic₄₃	—	2	1	no	—
151	C₂×Dic₄₃	—	2	1	no	—
152	C₂×Dic₄₃	—	2	1	no	—
153	C₂×Dic₄₃	—	2	1	no	—
154	C₂×Dic₄₃	—	2	1	no	—
155	C₂×Dic₄₃	—	2	1	no	—
156	C₂×Dic₄₃	—	2	1	no	—
157	C₂²×C₄₃	—	2	2	no	—
158	C₂²×C₄₃	—	2	2	no	—
159	C₂²×C₄₃	—	2	2	no	—
160	C₂²×C₄₃	—	2	2	no	—
161	C₂²×C₄₃	—	2	2	no	—
162	C₂²×C₄₃	—	2	2	no	—
163	C₂²×C₄₃	#126	1	4	yes	complemented
164	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
165	C₂²×C₄₃	C₂×#41	1	1	yes	characteristic
166	C₂²×C₄₃	C₂×#41	1	1	yes	characteristic
167	C₂²×C₄₃	C₂×#41	1	1	yes	characteristic
168	C₂²×C₄₃	C₂×#41	1	1	yes	characteristic
169	C₂²×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
170	C₂²×C₄₃	2₋¹⁺⁴	1	1	yes	characteristic
171	C₂×D₄₃	—	4	1	no	—
172	C₂×D₄₃	—	4	1	no	—
173	C₂×D₄₃	—	4	1	no	—
174	C₂×D₄₃	—	4	1	no	—
175	C₂×D₄₃	—	4	1	no	—
176	C₂×D₄₃	—	4	1	no	—
177	C₂×D₄₃	—	4	1	no	—
178	C₄×C₄₃	—	2	2	no	—
179	C₄×C₄₃	—	2	2	no	—
180	C₄×C₄₃	—	2	2	no	—
181	C₄×C₄₃	—	2	2	no	—
182	C₄×C₄₃	—	4	1	no	—
183	C₄×C₄₃	—	4	1	no	—
184	Dic₄₃	—	4	1	no	—
185	Dic₄₃	—	4	1	no	—
186	Dic₄₃	—	4	1	no	—
187	Dic₄₃	—	4	1	no	—
188	Dic₄₃	—	4	1	no	—
189	Dic₄₃	—	4	1	no	—
190	Dic₄₃	—	4	1	no	—
191	#2481	—	43	1	no	maximal, Sylow
192	C₂×C₄₃	—	2	4	no	—
193	C₂×C₄₃	#525	1	1	yes	characteristic
194	C₂×C₄₃	C₂×#126	1	1	yes	characteristic
195	C₂×C₄₃	#539	1	1	yes	characteristic
196	C₂×C₄₃	#546	1	1	yes	characteristic
197	C₂×C₄₃	#548	1	1	yes	characteristic
198	C₂×C₄₃	#552	1	1	yes	characteristic
199	C₂×C₄₃	#553	1	1	yes	characteristic
200	D₄₃	—	8	1	no	—
201	C₂×#126	—	43	1	no	—
202	C₂²×C₄⋊C₄	D₄₃	1	1	yes	characteristic, complemented
203	#400	—	43	1	no	—
204	#400	—	43	1	no	—
205	#397	—	43	1	no	—
206	#396	—	43	1	no	—
207	#388	—	43	1	no	—
208	#387	—	43	1	no	—
209	#387	—	43	1	no	—
210	#386	—	43	1	no	—
211	#386	—	43	1	no	—
212	#386	—	43	1	no	—
213	#385	—	43	1	no	—
214	#380	—	43	1	no	—
215	C₄×C₂²⋊C₄	—	43	1	no	—
216	C₄₃	#2481	1	1	yes	characteristic, complemented, Sylow
217	C₂²×D₄	—	43	1	no	—
218	C₂³×C₄	C₂×D₄₃	1	1	yes	characteristic
219	C₂³×C₄	C₂×D₄₃	1	1	yes	characteristic
220	C₂³×C₄	C₂×D₄₃	1	1	yes	characteristic
221	#126	—	86	4	no	—
222	C₂×C₄⋊C₄	—	2	4	no	—
223	C₂×C₄⋊C₄	—	43	1	no	—
224	C₂×C₄⋊C₄	—	43	1	no	—
225	C₂×C₄⋊C₄	—	43	1	no	—
226	C₂×C₄⋊C₄	—	43	1	no	—
227	C₂×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
228	C₂×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
229	C₂×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
230	C₂×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
231	C₂×C₂²⋊C₄	—	43	1	no	—
232	C₂×C₂²⋊C₄	—	43	1	no	—
233	C₂×C₂²⋊C₄	—	43	1	no	—
234	C₂×C₂²⋊C₄	—	43	1	no	—
235	C₂×C₂²⋊C₄	—	43	1	no	—
236	C₂×C₂²⋊C₄	—	43	1	no	—
237	C₂×C₂²⋊C₄	—	43	1	no	—
238	C₂×C₂²⋊C₄	—	43	1	no	—
239	C₂×C₂²⋊C₄	—	43	1	no	—
240	C₂×C₄²	—	43	1	no	—
241	C₂×C₄²	—	43	1	no	—
242	#95	—	43	1	no	—
243	#95	—	43	1	no	—
244	#95	—	43	1	no	—
245	#95	—	43	1	no	—
246	#95	—	43	1	no	—
247	#95	—	43	1	no	—
248	#95	—	43	1	no	—
249	#95	—	43	1	no	—
250	#95	—	43	1	no	—
251	#95	—	43	1	no	—
252	#95	—	43	1	no	—
253	#95	—	43	1	no	—
254	C₂⁴	—	43	1	no	—
255	C₂⁴	C₂²×D₄₃	1	1	yes	characteristic
256	C₂×D₄	—	86	2	no	—
257	C₂×D₄	—	86	2	no	—
258	C₂×D₄	—	86	2	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	2	no	—
264	C₂²×C₄	—	2	2	no	—
265	C₂²×C₄	—	2	2	no	—
266	C₂²×C₄	—	4	1	no	—
267	C₂²×C₄	—	4	1	no	—
268	C₂²×C₄	—	43	1	no	—
269	C₂²×C₄	—	43	1	no	—
270	C₂²×C₄	—	43	1	no	—
271	C₂²×C₄	—	43	1	no	—
272	C₂²×C₄	—	43	1	no	—
273	C₂²×C₄	—	43	1	no	—
274	C₂²×C₄	—	43	1	no	—
275	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
276	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
277	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
278	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
279	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
280	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
281	C₄⋊C₄	—	2	2	no	—
282	C₄⋊C₄	—	2	2	no	—
283	C₄⋊C₄	—	2	2	no	—
284	C₄⋊C₄	—	86	2	no	—
285	C₄⋊C₄	—	86	2	no	—
286	C₄⋊C₄	—	86	2	no	—
287	C₄⋊C₄	—	172	1	no	—
288	C₄⋊C₄	C₂²⋊D₄₃	1	4	yes	complemented
289	C₂²⋊C₄	—	86	2	no	—
290	C₂²⋊C₄	—	86	2	no	—
291	C₂²⋊C₄	—	86	2	no	—
292	C₂²⋊C₄	—	86	2	no	—
293	C₂²⋊C₄	—	86	2	no	—
294	C₂²⋊C₄	—	86	2	no	—
295	C₂²⋊C₄	—	86	2	no	—
296	C₂²⋊C₄	—	172	1	no	—
297	C₂²⋊C₄	—	172	1	no	—
298	C₄²	—	86	2	no	—
299	C₄²	—	172	1	no	—
300	C₂³	—	2	1	no	—
301	C₂³	—	2	1	no	—
302	C₂³	—	2	1	no	—
303	C₂³	—	2	1	no	—
304	C₂³	—	86	1	no	—
305	C₂³	—	86	1	no	—
306	C₂³	—	86	1	no	—
307	C₂³	—	86	1	no	—
308	C₂³	—	86	1	no	—
309	C₂³	—	86	1	no	—
310	C₂³	—	86	1	no	—
311	C₂³	#10621898	1	2	yes	—
312	C₂³	#10621900	1	2	yes	—
313	C₂³	#10621902	1	2	yes	—
314	C₂³	C₂³×D₄₃	1	1	yes	characteristic
315	D₄	—	172	4	no	—
316	C₂×C₄	—	2	8	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	—	2	1	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	4	4	no	—
332	C₂×C₄	—	4	4	no	—
333	C₂×C₄	—	86	1	no	—
334	C₂×C₄	—	86	1	no	—
335	C₂×C₄	—	86	1	no	—
336	C₂×C₄	—	86	1	no	—
337	C₂×C₄	—	86	1	no	—
338	C₂×C₄	—	86	1	no	—
339	C₂×C₄	—	86	1	no	—
340	C₂×C₄	—	86	1	no	—
341	C₂×C₄	—	86	1	no	—
342	C₂×C₄	—	86	1	no	—
343	C₂×C₄	—	86	1	no	—
344	C₂×C₄	—	86	1	no	—
345	C₂×C₄	—	86	1	no	—
346	C₂×C₄	—	86	1	no	—
347	C₂×C₄	—	86	1	no	—
348	C₂×C₄	—	86	1	no	—
349	C₂×C₄	—	86	1	no	—
350	C₂×C₄	—	86	1	no	—
351	C₂×C₄	—	86	1	no	—
352	C₂×C₄	—	86	1	no	—
353	C₂×C₄	—	86	1	no	—
354	C₂×C₄	#10621898	1	2	yes	—
355	C₂×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
356	C₂×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
357	C₂×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
358	C₂²	—	2	2	no	—
359	C₂²	—	2	2	no	—
360	C₂²	—	2	2	no	—
361	C₂²	—	2	2	no	—
362	C₂²	—	2	2	no	—
363	C₂²	—	2	2	no	—
364	C₂²	—	172	1	no	—
365	C₂²	—	172	1	no	—
366	C₂²	—	172	1	no	—
367	C₂²	—	172	1	no	—
368	C₂²	—	172	1	no	—
369	C₂²	—	172	1	no	—
370	C₂²	—	172	1	no	—
371	C₂²	#13063320	1	4	yes	complemented
372	C₂²	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
373	C₂²	C₂×#10621900	1	1	yes	characteristic
374	C₂²	C₂×#10621898	1	1	yes	characteristic
375	C₂²	C₂×#10621898	1	1	yes	characteristic
376	C₂²	C₂×#10621902	1	1	yes	characteristic
377	C₂²	#13063370	1	1	yes	characteristic
378	C₂²	#13063373	1	1	yes	characteristic
379	C₄	—	2	2	no	—
380	C₄	—	2	2	no	—
381	C₄	—	2	2	no	—
382	C₄	—	2	2	no	—
383	C₄	—	4	1	no	—
384	C₄	—	4	1	no	—
385	C₄	—	172	1	no	—
386	C₄	—	172	1	no	—
387	C₄	—	172	1	no	—
388	C₄	—	172	1	no	—
389	C₄	—	172	1	no	—
390	C₄	—	172	1	no	—
391	C₄	—	172	1	no	—
392	C₂	—	2	4	no	—
393	C₂	—	344	1	no	—
394	C₂	#14583410	1	1	yes	characteristic
395	C₂	C₂×#13063320	1	1	yes	characteristic
396	C₂	#14583496	1	1	yes	characteristic
397	C₂	#14583543	1	1	yes	characteristic
398	C₂	#14583560	1	1	yes	characteristic
399	C₂	#14583584	1	1	yes	characteristic
400	C₂	#14583597	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₄₃
commutator, socle	C₂³×C₄₃	C₂⁴
Fitting	C₂²×C₄⋊C₄×C₄₃	C₂
hypercenter	C₂²×C₄⋊C₄	D₄₃
hypocenter	C₄₃	#2481
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄⋊C₄

Complements

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

N	H ≅ G/N	type
1. C₂×#13063320	C₂	semidirect
2. #14582838	C₂	semidirect
3. #14582837	C₂	semidirect
4. #14582825	C₂	semidirect
5. #14582821	C₂	semidirect
6. #14582789	C₂	semidirect
7. #14582785	C₂	semidirect
8. #14582780	C₂	semidirect
12. #14582772	C₂	semidirect
13. #14582759	C₂	semidirect
14. C₄×C₂²⋊Dic₄₃	C₂	semidirect
15. C₂²×C₄⋊C₄×C₄₃	C₂	semidirect
83. C₄⋊C₄×C₄₃	D₄	semidirect
163. C₂²×C₄₃	#126	semidirect
202. C₂²×C₄⋊C₄	D₄₃	semidirect
216. C₄₃	#2481	semidirect
288. C₄⋊C₄	C₂²⋊D₄₃	semidirect
371. C₂²	#13063320	semidirect