Subgroups — #25105099

Order 11008.

1126 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583272	C₂	1	1	yes	maximal, characteristic
2	C₂×#14583001	C₂	1	2	yes	maximal, complemented
3	C₂×C₄×#10621873	C₂	1	2	yes	maximal, complemented
4	#19137320	C₂	1	1	yes	maximal, characteristic
5	#19137314	C₂	1	1	yes	maximal, characteristic, complemented
6	#19135476	C₂	1	2	yes	maximal, complemented
7	#19135449	C₂	1	2	yes	maximal, complemented
8	#19135419	C₂	1	1	yes	maximal, characteristic
9	#19135415	C₂	1	1	yes	maximal, characteristic, complemented
10	#19134759	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#1726	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#10621873	C₂²	1	2	yes	—
13	C₂²×#10621873	C₂²	1	2	yes	—
14	C₂×#13063325	C₂²	1	1	yes	characteristic
15	C₂×#13063322	C₂²	1	1	yes	characteristic
16	C₂×C₄×Dic₈₆	C₂²	1	2	yes	—
17	C₂×C₄×D₁₇₂	C₂²	1	2	yes	—
18	#14583272	C₄	1	8	yes	complemented
19	#14583001	—	2	8	no	—
20	C₄×#10621873	—	2	8	no	—
21	C₂×#13063259	C₂²	1	2	yes	—
22	C₂×#13063257	C₂²	1	2	yes	—
23	C₂×#13063250	C₂²	1	2	yes	—
24	C₂×#13063250	C₂²	1	2	yes	—
25	C₂×#13063247	C₂²	1	2	yes	—
26	C₂×#13063247	C₂²	1	2	yes	—
27	#14582805	C₂²	1	2	yes	—
28	#14582801	C₂²	1	2	yes	—
29	#14582784	—	2	4	no	—
30	#14582777	—	2	4	no	—
31	#14582765	C₂²	1	1	yes	characteristic
32	#14582765	C₂²	1	1	yes	characteristic
33	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
34	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
35	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
39	C₄₃×#376	C₂²	1	1	yes	characteristic
40	C₂²×Dic₈₆	C₂³	1	2	yes	—
41	C₂²×D₁₇₂	—	2	2	no	—
42	C₂²×D₁₇₂	C₂³	1	2	yes	—
43	C₂²×C₄×D₄₃	—	2	2	no	—
44	C₂×#10621873	—	2	4	no	—
45	C₂×#10621873	—	2	4	no	—
46	C₂×#10621873	—	2	4	no	—
47	C₂×#10621873	—	2	4	no	—
48	C₂×#10621873	C₂×C₄	1	8	yes	complemented
49	C₂×#10621873	C₂×C₄	1	8	yes	complemented
50	#13063325	—	2	2	no	—
51	#13063325	C₂×C₄	1	4	yes	complemented
52	#13063322	—	2	2	no	—
53	#13063322	C₂×C₄	1	4	yes	—
54	C₄×Dic₈₆	—	2	4	no	—
55	C₄×Dic₈₆	—	2	4	no	—
56	C₄×D₁₇₂	—	2	4	no	—
57	C₄×D₁₇₂	—	2	4	no	—
58	C₂×C₄⋊Dic₄₃	—	2	2	no	—
59	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
60	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
61	C₂×Dic₄₃⋊C₄	—	2	2	no	—
62	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
63	C₂×(C₂×D₄₃)⋊C₄	—	2	4	no	—
64	C₂×C₄×Dic₄₃	—	2	2	no	—
65	#13063259	—	2	4	no	—
66	#13063257	—	2	4	no	—
67	#13063250	—	2	4	no	—
68	#13063250	—	2	4	no	—
69	#13063247	—	2	4	no	—
70	#13063247	—	2	4	no	—
71	C₄₃⋊#95	—	2	4	no	—
72	C₄₃⋊#95	—	2	2	no	—
73	C₄₃⋊#95	—	2	2	no	—
74	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
75	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
76	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
77	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
78	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
79	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
80	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
81	#97×C₄₃	—	2	2	no	—
82	#97×C₄₃	—	2	2	no	—
83	#97×C₄₃	D₄	1	4	yes	complemented
84	C₄×C₈×C₄₃	—	2	2	no	—
85	C₄×C₈×C₄₃	C₂×C₄	1	4	yes	complemented
86	C₄×C₈×C₄₃	D₄	1	4	yes	complemented
87	#95×C₄₃	D₄	1	4	yes	—
88	C₂³×D₄₃	—	2	2	no	—
89	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
91	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
93	C₂²×Dic₄₃	—	2	2	no	—
94	C₂²×Dic₄₃	—	2	2	no	—
95	C₂²×Dic₄₃	—	2	2	no	—
96	C₂×D₁₇₂	—	2	2	no	—
97	C₂×D₁₇₂	—	2	8	no	—
98	C₂×D₁₇₂	—	2	2	no	—
99	C₂×D₁₇₂	—	2	2	no	—
100	C₂×D₁₇₂	—	2	2	no	—
101	C₂×D₁₇₂	—	2	2	no	—
102	C₂×D₁₇₂	—	8	4	no	—
103	C₂×D₁₇₂	C₂²×C₄	1	4	yes	—
104	C₂×C₄×D₄₃	—	4	4	no	—
105	C₂×C₄×D₄₃	—	8	4	no	—
106	C₂×Dic₈₆	—	2	2	no	—
107	C₂×Dic₈₆	—	2	2	no	—
108	C₂×Dic₈₆	—	2	2	no	—
109	C₂×Dic₈₆	—	2	2	no	—
110	C₂×Dic₈₆	—	2	2	no	—
111	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
112	C₂×C₈×C₄₃	—	2	1	no	—
113	C₂×C₈×C₄₃	—	2	1	no	—
114	C₂×C₈×C₄₃	—	2	1	no	—
115	C₂×C₈×C₄₃	—	2	1	no	—
116	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
117	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
118	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
119	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
120	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
121	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
122	C₂×C₈×C₄₃	#41	1	2	yes	—
123	C₂×C₈×C₄₃	#41	1	2	yes	—
124	C₄²×C₄₃	—	2	1	no	—
125	C₄²×C₄₃	—	2	1	no	—
126	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
127	C₄²×C₄₃	C₂×D₄	1	2	yes	—
128	C₄²×C₄₃	C₂×D₄	1	2	yes	—
129	C₄²×C₄₃	#41	1	2	yes	—
130	(C₂×D₄₃)⋊C₄	—	4	4	no	—
131	(C₂×D₄₃)⋊C₄	—	8	4	no	—
132	C₄⋊Dic₄₃	—	2	8	no	—
133	C₄⋊Dic₄₃	—	2	2	no	—
134	C₄⋊Dic₄₃	—	2	2	no	—
135	C₄⋊Dic₄₃	—	2	2	no	—
136	C₄⋊Dic₄₃	—	2	2	no	—
137	Dic₄₃⋊C₄	—	4	4	no	—
138	C₄×Dic₄₃	—	4	4	no	—
139	#10621873	—	2	16	no	—
140	#10621873	—	2	16	no	—
141	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
142	C₂²×D₄₃	—	2	4	no	—
143	C₂²×D₄₃	—	4	2	no	—
144	C₂²×D₄₃	—	4	2	no	—
145	C₂²×D₄₃	—	4	4	no	—
146	C₂²×D₄₃	—	4	4	no	—
147	C₂×C₄×C₄₃	—	2	4	no	—
148	C₂×C₄×C₄₃	—	2	4	no	—
149	C₂×C₄×C₄₃	—	2	2	no	—
150	C₂×C₄×C₄₃	—	2	4	no	—
151	C₂×C₄×C₄₃	C₄×D₄	1	4	yes	—
152	C₂×C₄×C₄₃	#127	1	4	yes	—
153	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
154	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
155	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
156	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
157	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
158	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
159	C₂×Dic₄₃	—	2	4	no	—
160	C₂×Dic₄₃	—	4	2	no	—
161	C₂×Dic₄₃	—	4	2	no	—
162	C₂×Dic₄₃	—	4	2	no	—
163	C₂×Dic₄₃	—	4	2	no	—
164	C₂×Dic₄₃	—	4	4	no	—
165	C₂×Dic₄₃	—	4	4	no	—
166	D₁₇₂	—	2	4	no	—
167	D₁₇₂	—	2	4	no	—
168	D₁₇₂	—	4	2	no	—
169	D₁₇₂	—	4	2	no	—
170	D₁₇₂	—	8	8	no	—
171	C₄×D₄₃	—	8	8	no	—
172	Dic₈₆	—	2	4	no	—
173	Dic₈₆	—	2	4	no	—
174	Dic₈₆	—	4	2	no	—
175	Dic₈₆	—	4	2	no	—
176	C₈×C₄₃	—	2	2	no	—
177	C₈×C₄₃	—	2	2	no	—
178	C₈×C₄₃	C₄×D₄	1	4	yes	—
179	C₈×C₄₃	C₄×D₄	1	4	yes	—
180	#21695	—	43	1	no	maximal, Sylow
181	C₂²×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
182	C₂²×C₄₃	C₂×#127	1	1	yes	characteristic
183	C₂²×C₄₃	#532	1	1	yes	characteristic
184	C₂²×C₄₃	#577	1	4	yes	—
185	C₂×D₄₃	—	4	4	no	—
186	C₂×D₄₃	—	4	8	no	—
187	C₂×D₄₃	—	8	2	no	—
188	C₂×D₄₃	—	8	2	no	—
189	C₂×D₄₃	—	8	4	no	—
190	C₄×C₄₃	—	2	4	no	—
191	C₄×C₄₃	—	2	4	no	—
192	C₄×C₄₃	—	4	2	no	—
193	C₄×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
194	C₄×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
195	C₄×C₄₃	#532	1	1	yes	characteristic
196	C₄×C₄₃	#532	1	1	yes	characteristic
197	Dic₄₃	—	4	4	no	—
198	Dic₄₃	—	8	2	no	—
199	Dic₄₃	—	8	2	no	—
200	C₂×#492	—	43	1	no	—
201	C₂×#440	—	43	2	no	—
202	C₂×C₄×SD₁₆	—	43	2	no	—
203	#2328	—	43	1	no	—
204	#2327	—	43	1	no	—
205	#1973	—	43	2	no	—
206	#1968	—	43	2	no	—
207	#1961	—	43	1	no	—
208	#1960	—	43	1	no	—
209	#1846	—	43	1	no	—
210	#1726	D₄₃	1	1	yes	characteristic, complemented
211	C₂×C₄₃	C₄×#127	1	1	yes	characteristic
212	C₂×C₄₃	#2949	1	2	yes	—
213	C₂×C₄₃	#3154	1	2	yes	—
214	C₂×C₄₃	#3174	1	2	yes	—
215	D₄₃	—	8	4	no	—
216	C₂²×SD₁₆	—	43	2	no	—
217	C₂²×SD₁₆	—	43	2	no	—
218	C₂×C₄⋊Q₈	—	43	1	no	—
219	C₂×#127	—	43	1	no	—
220	C₂×C₄×Q₈	—	43	2	no	—
221	C₂×C₄×D₄	—	43	2	no	—
222	#492	—	43	8	no	—
223	#440	—	86	8	no	—
224	C₄×SD₁₆	—	86	8	no	—
225	C₂×#107	—	43	2	no	—
226	C₂×#106	—	43	2	no	—
227	C₂×#103	—	43	2	no	—
228	C₂×#103	—	43	2	no	—
229	C₂×#102	—	43	2	no	—
230	C₂×#102	—	43	2	no	—
231	C₂×#97	C₂×D₄₃	1	1	yes	characteristic
232	C₂×#97	C₂×D₄₃	1	1	yes	characteristic
233	C₂×#97	C₂×D₄₃	1	1	yes	characteristic
234	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
235	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
236	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
237	#391	—	43	2	no	—
238	#390	—	43	2	no	—
239	#387	—	86	4	no	—
240	#386	—	86	4	no	—
241	#382	—	43	1	no	—
242	#382	—	43	1	no	—
243	#376	C₂×D₄₃	1	1	yes	characteristic
244	C₄₃	#21695	1	1	yes	characteristic, complemented, Sylow
245	C₂²×Q₈	—	43	2	no	—
246	C₂²×D₄	—	43	2	no	—
247	C₂²×D₄	—	86	2	no	—
248	C₂³×C₄	—	86	2	no	—
249	C₂×SD₁₆	—	43	8	no	—
250	C₂×SD₁₆	—	43	8	no	—
251	C₂×SD₁₆	—	86	4	no	—
252	C₂×SD₁₆	—	86	4	no	—
253	C₂×SD₁₆	—	86	4	no	—
254	C₂×SD₁₆	—	86	4	no	—
255	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
256	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
257	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
258	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
259	C₄⋊Q₈	—	43	4	no	—
260	C₄⋊Q₈	—	86	2	no	—
261	#127	—	43	4	no	—
262	#127	—	86	2	no	—
263	C₄×Q₈	—	86	4	no	—
264	C₄×Q₈	—	86	4	no	—
265	C₄×D₄	—	86	4	no	—
266	C₄×D₄	—	86	4	no	—
267	C₂×C₄⋊C₄	—	43	2	no	—
268	C₂×C₄⋊C₄	—	43	2	no	—
269	C₂×C₄⋊C₄	—	86	2	no	—
270	C₂×C₄⋊C₄	—	86	2	no	—
271	C₂×C₂²⋊C₄	—	86	4	no	—
272	C₂×C₂²⋊C₄	—	86	2	no	—
273	C₂×C₄²	—	86	2	no	—
274	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
275	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
276	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
277	#107	—	86	4	no	—
278	#106	—	86	4	no	—
279	#103	—	86	4	no	—
280	#103	—	86	4	no	—
281	#102	—	86	4	no	—
282	#102	—	86	4	no	—
283	#97	—	2	2	no	—
284	#97	—	2	2	no	—
285	#97	D₁₇₂	1	4	yes	complemented
286	C₄×C₈	—	2	2	no	—
287	C₄×C₈	C₄×D₄₃	1	4	yes	complemented
288	C₄×C₈	D₁₇₂	1	4	yes	complemented
289	#95	—	86	2	no	—
290	#95	—	86	2	no	—
291	#95	—	86	4	no	—
292	#95	D₁₇₂	1	4	yes	—
293	C₂⁴	—	86	2	no	—
294	C₂×Q₈	—	43	4	no	—
295	C₂×Q₈	—	86	2	no	—
296	C₂×Q₈	—	86	2	no	—
297	C₂×Q₈	—	86	2	no	—
298	C₂×Q₈	—	86	2	no	—
299	C₂×Q₈	—	86	2	no	—
300	C₂×D₄	—	43	4	no	—
301	C₂×D₄	—	86	8	no	—
302	C₂×D₄	—	86	2	no	—
303	C₂×D₄	—	86	2	no	—
304	C₂×D₄	—	86	2	no	—
305	C₂×D₄	—	86	2	no	—
306	C₂×D₄	—	86	2	no	—
307	C₂×D₄	—	344	4	no	—
308	C₂²×C₄	—	86	2	no	—
309	C₂²×C₄	—	86	2	no	—
310	C₂²×C₄	—	86	2	no	—
311	C₂²×C₄	—	344	4	no	—
312	C₂²×C₄	—	172	4	no	—
313	C₂²×C₄	C₂×D₁₇₂	1	2	yes	—
314	C₂²×C₄	C₂×D₁₇₂	1	2	yes	—
315	C₂²×C₄	C₂×D₁₇₂	1	2	yes	—
316	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
317	SD₁₆	—	86	16	no	—
318	SD₁₆	—	86	16	no	—
319	C₂×C₈	—	2	1	no	—
320	C₂×C₈	—	2	1	no	—
321	C₂×C₈	—	2	1	no	—
322	C₂×C₈	—	2	1	no	—
323	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
324	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
325	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
326	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
327	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
328	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
329	C₂×C₈	#10621898	1	2	yes	—
330	C₂×C₈	#10621898	1	2	yes	—
331	C₄⋊C₄	—	86	8	no	—
332	C₄⋊C₄	—	86	2	no	—
333	C₄⋊C₄	—	86	2	no	—
334	C₄⋊C₄	—	86	2	no	—
335	C₄⋊C₄	—	86	2	no	—
336	C₄⋊C₄	—	172	4	no	—
337	C₂²⋊C₄	—	344	4	no	—
338	C₂²⋊C₄	—	172	4	no	—
339	C₄²	—	2	1	no	—
340	C₄²	—	2	1	no	—
341	C₄²	—	172	4	no	—
342	C₄²	C₂×C₄×D₄₃	1	2	yes	—
343	C₄²	C₂×D₁₇₂	1	2	yes	—
344	C₄²	C₂×D₁₇₂	1	2	yes	—
345	C₄²	#10621898	1	2	yes	—
346	C₂³	—	86	4	no	—
347	C₂³	—	172	2	no	—
348	C₂³	—	172	2	no	—
349	C₂³	—	172	4	no	—
350	C₂³	—	172	4	no	—
351	C₂³	C₂²×D₁₇₂	1	1	yes	characteristic
352	Q₈	—	86	4	no	—
353	Q₈	—	86	4	no	—
354	Q₈	—	172	2	no	—
355	Q₈	—	172	2	no	—
356	D₄	—	86	4	no	—
357	D₄	—	86	4	no	—
358	D₄	—	344	8	no	—
359	D₄	—	172	2	no	—
360	D₄	—	172	2	no	—
361	C₂×C₄	—	2	4	no	—
362	C₂×C₄	—	2	4	no	—
363	C₂×C₄	—	2	2	no	—
364	C₂×C₄	—	2	4	no	—
365	C₂×C₄	—	86	4	no	—
366	C₂×C₄	—	344	8	no	—
367	C₂×C₄	—	172	2	no	—
368	C₂×C₄	—	172	2	no	—
369	C₂×C₄	—	172	4	no	—
370	C₂×C₄	—	172	4	no	—
371	C₂×C₄	—	172	2	no	—
372	C₂×C₄	—	172	2	no	—
373	C₂×C₄	C₄×D₁₇₂	1	4	yes	—
374	C₂×C₄	#13063322	1	4	yes	—
375	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
376	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
377	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
378	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
379	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
380	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
381	C₈	—	2	2	no	—
382	C₈	—	2	2	no	—
383	C₈	C₄×D₁₇₂	1	4	yes	—
384	C₈	C₄×D₁₇₂	1	4	yes	—
385	C₂²	—	344	4	no	—
386	C₂²	—	344	2	no	—
387	C₂²	—	344	2	no	—
388	C₂²	—	172	8	no	—
389	C₂²	—	172	4	no	—
390	C₂²	C₂×C₄×D₁₇₂	1	1	yes	characteristic
391	C₂²	C₂×#13063322	1	1	yes	characteristic
392	C₂²	#14583449	1	1	yes	characteristic
393	C₂²	#14583711	1	4	yes	—
394	C₄	—	2	4	no	—
395	C₄	—	2	4	no	—
396	C₄	—	4	2	no	—
397	C₄	—	344	2	no	—
398	C₄	—	344	2	no	—
399	C₄	—	172	4	no	—
400	C₄	C₂×C₄×D₁₇₂	1	1	yes	characteristic
401	C₄	C₂×C₄×D₁₇₂	1	1	yes	characteristic
402	C₄	#14583449	1	1	yes	characteristic
403	C₄	#14583449	1	1	yes	characteristic
404	C₂	—	344	4	no	—
405	C₂	C₄×#13063322	1	1	yes	characteristic
406	C₂	#19143456	1	2	yes	—
407	C₂	#19145071	1	2	yes	—
408	C₂	#19145223	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂²×D₁₇₂
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₃
Fitting	C₄₃×#1726	C₂
socle	C₂³×C₄₃	C₂²×D₄
prime radical	C₂×#13063322	C₂²
cosocle	C₂²×C₄×C₄₃	C₂⁴
hypercenter	#1726	D₄₃
hypocenter	C₄₃	#21695
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #376 ◁ #1726

Complements

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

N	H ≅ G/N	type
2. C₂×#14583001	C₂	semidirect
3. C₂×C₄×#10621873	C₂	semidirect
5. #19137314	C₂	semidirect
6. #19135476	C₂	semidirect
7. #19135449	C₂	semidirect
9. #19135415	C₂	semidirect
10. #19134759	C₂	semidirect
11. C₄₃×#1726	C₂	semidirect
18. #14583272	C₄	semidirect
48. C₂×#10621873	C₂×C₄	semidirect
49. C₂×#10621873	C₂×C₄	semidirect
51. #13063325	C₂×C₄	semidirect
83. #97×C₄₃	D₄	semidirect
85. C₄×C₈×C₄₃	C₂×C₄	semidirect
86. C₄×C₈×C₄₃	D₄	semidirect
210. #1726	D₄₃	semidirect
244. C₄₃	#21695	semidirect
285. #97	D₁₇₂	semidirect
287. C₄×C₈	C₄×D₄₃	semidirect
288. C₄×C₈	D₁₇₂	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583272	2
C₂×#14583001	2
C₂×C₄×#10621873	2
#19137320	2
#19137314	2
#19135476	2
#19135449	2
#19135419	2
#19135415	2
#19134759	2
C₄₃×#1726	2
#21695	43