Subgroups — #25196557

Order 11008.

608 conjugacy classes of subgroups.

The subgroup lattice has 448 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145118	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583019	C₂	1	1	yes	maximal, characteristic
3	#19135769	C₂	1	2	yes	maximal, complemented
4	#19135766	C₂	1	2	yes	maximal, complemented
5	#19135490	C₂	1	2	yes	maximal
6	#19134717	C₂	1	2	yes	maximal, complemented
7	#19134649	C₂	1	1	yes	maximal, characteristic, complemented
8	#19134646	C₂	1	1	yes	maximal, characteristic, complemented
9	#19134638	C₂	1	1	yes	maximal, characteristic, complemented
10	#19134481	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#1812	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13063345	C₂²	1	1	yes	characteristic
13	C₂×#13063331	C₂²	1	1	yes	characteristic
14	#14583452	C₂²	1	2	yes	—
15	#14583307	—	2	2	no	—
16	#14583306	—	2	2	no	—
17	#14583019	—	2	2	no	—
18	#14583019	—	2	2	no	—
19	C₂×#13063261	C₂²	1	1	yes	characteristic
20	C₂×#13063260	C₂²	1	1	yes	characteristic
21	#14582937	C₂²	1	1	yes	characteristic
22	#14582935	C₂²	1	2	yes	—
23	#14582917	C₂²	1	2	yes	—
24	#14582916	C₂²	1	2	yes	—
25	C₂×#13063252	C₂²	1	1	yes	characteristic
26	C₂×#13063251	C₂²	1	1	yes	characteristic
27	#14582872	C₂²	1	2	yes	—
28	#14582855	C₂²	1	2	yes	—
29	C₂×#13063235	C₂²	1	1	yes	characteristic
30	#14582671	C₂²	1	2	yes	—
31	#14582669	C₂²	1	2	yes	—
32	#14582658	C₂²	1	2	yes	—
33	#14582655	C₂²	1	2	yes	—
34	C₂×#131×C₄₃	C₂²	1	1	yes	characteristic
35	C₄₃×#427	C₂²	1	1	yes	characteristic
36	C₄₃×#427	C₂²	1	1	yes	characteristic
37	C₄₃×#410	C₂²	1	2	yes	—
38	C₄₃×H(3,ℤ/4)	C₂²	1	2	yes	—
39	C₂×#10621898	C₂³	1	1	yes	characteristic
40	#13063345	—	2	2	no	—
41	#13063345	—	2	2	no	—
42	C₂×#10621885	Q₈	1	1	yes	characteristic, complemented
43	C₂×#10621883	Q₈	1	1	yes	characteristic, complemented
44	C₂×#10621884	Q₈	1	1	yes	characteristic, complemented
45	C₂×#10621882	Q₈	1	1	yes	characteristic, complemented
46	#13063331	—	2	1	no	—
47	#13063331	—	2	1	no	—
48	#13063331	—	2	1	no	—
49	#13063331	—	2	1	no	—
50	C₂×#10621877	C₂³	1	2	yes	—
51	C₂×#10621877	C₂³	1	1	yes	characteristic
52	C₂×#10621872	—	2	1	no	—
53	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
54	C₂×C₈×D₄₃	—	2	1	no	—
55	#13063324	—	2	2	no	—
56	#13063316	—	2	2	no	—
57	#13063302	—	4	2	no	—
58	C₄×Dic₈₆	—	4	2	no	—
59	#13063284	C₂³	1	2	yes	—
60	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
61	#13063261	—	2	1	no	—
62	#13063261	—	2	1	no	—
63	#13063260	—	2	2	no	—
64	#13063259	—	2	1	no	—
65	#13063258	—	2	2	no	—
66	#13063257	—	2	1	no	—
67	#13063256	—	2	2	no	—
68	#13063253	—	4	2	no	—
69	#13063252	—	2	2	no	—
70	#13063252	—	4	2	no	—
71	#13063251	—	2	2	no	—
72	#13063239	—	4	2	no	—
73	#13063236	—	2	2	no	—
74	#13063235	D₄	1	2	yes	—
75	#13063235	D₄	1	2	yes	—
76	C₄×C₄₃⋊C₈	—	2	2	no	—
77	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
78	#131×C₄₃	—	2	1	no	—
79	#131×C₄₃	—	2	1	no	—
80	#131×C₄₃	—	2	1	no	—
81	#131×C₄₃	—	2	1	no	—
82	C₂×M₁₆×C₄₃	—	2	1	no	—
83	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
84	C₂²×C₈×C₄₃	—	2	1	no	—
85	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
86	#117×C₄₃	C₂³	1	2	yes	—
87	#117×C₄₃	C₂³	1	2	yes	—
88	#107×C₄₃	—	2	1	no	—
89	#107×C₄₃	—	2	1	no	—
90	#106×C₄₃	—	2	1	no	—
91	#106×C₄₃	—	2	1	no	—
92	#99×C₄₃	—	4	2	no	—
93	#41×C₄₃	—	2	1	no	—
94	#41×C₄₃	—	2	1	no	—
95	#41×C₄₃	—	2	1	no	—
96	#41×C₄₃	—	2	1	no	—
97	C₂×Q₈×C₄₃	C₂×Q₈	1	1	yes	characteristic
98	C₂×D₄×C₄₃	—	2	1	no	—
99	C₂×D₄×C₄₃	C₂×Q₈	1	1	yes	characteristic
100	C₂²×C₄×C₄₃	—	2	1	no	—
101	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
102	C₂×C₂²⋊D₄₃	—	2	1	no	—
103	C₂²×Dic₄₃	—	2	1	no	—
104	#10621898	—	2	1	no	—
105	#10621898	—	2	1	no	—
106	#10621898	—	2	1	no	—
107	#10621898	—	2	1	no	—
108	C₂×D₁₇₂	C₂×Q₈	1	1	yes	characteristic
109	C₂×C₄×D₄₃	—	2	1	no	—
110	C₂×Dic₈₆	—	4	2	no	—
111	C₂×Dic₈₆	C₂×Q₈	1	1	yes	characteristic
112	M₁₆×C₄₃	—	2	1	no	—
113	M₁₆×C₄₃	—	2	1	no	—
114	M₁₆×C₄₃	—	4	1	no	—
115	M₁₆×C₄₃	—	4	1	no	—
116	C₂×C₈×C₄₃	—	2	1	no	—
117	C₂×C₈×C₄₃	—	4	1	no	—
118	C₂×C₈×C₄₃	—	4	1	no	—
119	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
122	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
123	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
124	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
125	C₄⋊C₄×C₄₃	—	2	2	no	—
126	C₄⋊C₄×C₄₃	—	2	2	no	—
127	C₂²⋊C₄×C₄₃	—	2	2	no	—
128	C₂²⋊C₄×C₄₃	—	2	2	no	—
129	C₄²×C₄₃	—	2	2	no	—
130	C₄²×C₄₃	—	2	2	no	—
131	C₂²⋊Dic₄₃	—	2	2	no	—
132	#10621885	—	2	2	no	—
133	#10621884	—	2	2	no	—
134	#10621883	—	2	2	no	—
135	#10621882	—	2	2	no	—
136	C₄⋊Dic₄₃	—	2	2	no	—
137	C₄⋊Dic₄₃	—	4	2	no	—
138	Dic₄₃⋊C₄	—	4	2	no	—
139	Dic₄₃⋊C₄	—	4	2	no	—
140	C₄×Dic₄₃	—	2	1	no	—
141	C₄×Dic₄₃	—	2	2	no	—
142	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
143	#10621877	—	2	1	no	—
144	#10621877	—	2	2	no	—
145	#10621877	—	2	1	no	—
146	#10621877	—	2	2	no	—
147	C₂×C₄₃⋊C₈	—	2	2	no	—
148	C₂×C₄₃⋊C₈	—	2	1	no	—
149	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
150	C₂×C₄₃⋊C₈	C₂×Q₈	1	1	yes	characteristic
151	C₂×C₄₃⋊C₈	C₂×Q₈	1	1	yes	characteristic
152	C₂×C₄₃⋊C₈	#41	1	2	yes	—
153	#10621872	—	4	1	no	—
154	#10621872	—	4	1	no	—
155	C₈×D₄₃	—	4	1	no	—
156	C₈×D₄₃	—	4	1	no	—
157	C₂³×C₄₃	—	2	1	no	—
158	C₂³×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
159	C₂²×D₄₃	—	2	1	no	—
160	Q₈×C₄₃	—	2	1	no	—
161	Q₈×C₄₃	—	2	1	no	—
162	D₄×C₄₃	—	2	1	no	—
163	D₄×C₄₃	—	2	1	no	—
164	D₄×C₄₃	—	4	1	no	—
165	D₄×C₄₃	—	4	1	no	—
166	C₂×C₄×C₄₃	—	2	1	no	—
167	C₂×C₄×C₄₃	—	4	1	no	—
168	C₂×C₄×C₄₃	—	4	1	no	—
169	C₂×C₄×C₄₃	—	4	2	no	—
170	C₂×C₄×C₄₃	—	4	2	no	—
171	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₄×C₄₃	C₂²×Q₈	1	1	yes	characteristic
173	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
174	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
175	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
176	C₂×C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
177	C₂²⋊D₄₃	—	4	1	no	—
178	C₂²⋊D₄₃	—	4	1	no	—
179	C₂×Dic₄₃	—	2	2	no	—
180	C₂×Dic₄₃	—	2	1	no	—
181	C₂×Dic₄₃	—	4	2	no	—
182	C₂×Dic₄₃	—	8	1	no	—
183	D₁₇₂	—	2	1	no	—
184	D₁₇₂	—	2	1	no	—
185	C₄×D₄₃	—	4	1	no	—
186	C₄×D₄₃	—	4	1	no	—
187	Dic₈₆	—	2	1	no	—
188	Dic₈₆	—	2	1	no	—
189	Dic₈₆	—	8	4	no	—
190	C₈×C₄₃	—	4	1	no	—
191	C₈×C₄₃	#124	1	1	yes	characteristic
192	C₈×C₄₃	#124	1	1	yes	characteristic
193	C₈×C₄₃	#124	1	1	yes	characteristic
194	C₈×C₄₃	#124	1	1	yes	characteristic
195	C₄₃⋊C₈	—	4	1	no	—
196	C₄₃⋊C₈	—	4	2	no	—
197	C₄₃⋊C₈	C₂²⋊Q₈	1	2	yes	—
198	C₄₃⋊C₈	C₂²⋊Q₈	1	2	yes	—
199	#29155	—	43	1	no	maximal, Sylow
200	C₂²×C₄₃	—	4	1	no	—
201	C₂²×C₄₃	—	4	1	no	—
202	C₂²×C₄₃	—	8	1	no	—
203	C₂²×C₄₃	#535	1	1	yes	characteristic
204	C₂²×C₄₃	#554	1	1	yes	characteristic
205	C₂²×C₄₃	#555	1	1	yes	characteristic
206	C₂×D₄₃	—	4	1	no	—
207	C₂×D₄₃	—	8	1	no	—
208	C₄×C₄₃	—	4	1	no	—
209	C₄×C₄₃	—	8	2	no	—
210	C₄×C₄₃	—	8	2	no	—
211	C₄×C₄₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
212	C₄×C₄₃	C₂×#124	1	1	yes	characteristic
213	C₄×C₄₃	#554	1	1	yes	characteristic
214	C₄×C₄₃	#555	1	1	yes	characteristic
215	Dic₄₃	—	4	2	no	—
216	Dic₄₃	—	4	1	no	—
217	Dic₄₃	—	8	2	no	—
218	#3162	—	43	1	no	—
219	C₂×#444	—	43	1	no	—
220	#2031	—	43	2	no	—
221	#2031	—	43	2	no	—
222	#1976	—	43	2	no	—
223	#1833	—	43	2	no	—
224	#1814	—	43	1	no	—
225	#1814	—	43	1	no	—
226	#1812	—	43	1	no	—
227	#1812	D₄₃	1	1	yes	characteristic, complemented
228	#1773	—	43	1	no	—
229	C₂×C₄₃	—	2	1	no	—
230	C₂×C₄₃	—	2	1	no	—
231	C₂×C₄₃	—	2	1	no	—
232	C₂×C₄₃	—	8	1	no	—
233	C₂×C₄₃	#2563	1	1	yes	characteristic
234	D₄₃	—	8	1	no	—
235	C₂×#135	—	43	1	no	—
236	C₂×#131	—	43	1	no	—
237	C₂×#131	C₂×D₄₃	1	1	yes	characteristic
238	#533	—	43	2	no	—
239	#501	—	86	2	no	—
240	#501	—	86	2	no	—
241	#444	—	86	2	no	—
242	#444	—	86	2	no	—
243	C₂×#108	—	43	1	no	—
244	C₂×#108	—	43	1	no	—
245	#427	—	43	1	no	—
246	#427	—	43	2	no	—
247	#427	C₂×D₄₃	1	1	yes	characteristic
248	#427	C₂×D₄₃	1	1	yes	characteristic
249	#421	—	43	2	no	—
250	#421	—	43	2	no	—
251	C₂×#104	—	43	1	no	—
252	C₂×#104	—	43	1	no	—
253	#410	—	43	2	no	—
254	#410	C₂×D₄₃	1	2	yes	—
255	#405	—	43	2	no	—
256	C₂×#97	—	43	1	no	—
257	#344	—	43	2	no	—
258	#344	—	43	2	no	—
259	#339	—	43	2	no	—
260	H(3,ℤ/4)	—	43	2	no	—
261	H(3,ℤ/4)	C₂×D₄₃	1	2	yes	—
262	C₄₃	#29155	1	1	yes	characteristic, complemented, Sylow
263	C₂×#41	—	43	1	no	—
264	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
265	#135	—	86	2	no	—
266	#135	—	86	2	no	—
267	C₂×Q₁₆	—	43	1	no	—
268	C₂×SD₁₆	—	43	1	no	—
269	C₂×SD₁₆	—	43	1	no	—
270	C₂×D₈	—	43	1	no	—
271	#131	—	2	1	no	—
272	#131	—	2	1	no	—
273	#131	—	2	1	no	—
274	#131	—	2	1	no	—
275	#131	—	86	1	no	—
276	#131	—	86	1	no	—
277	#131	—	86	1	no	—
278	#131	—	86	1	no	—
279	C₂×M₁₆	—	2	1	no	—
280	C₂×M₁₆	—	43	1	no	—
281	C₂×M₁₆	—	43	2	no	—
282	C₂×M₁₆	—	86	1	no	—
283	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
284	C₂²×C₈	—	2	1	no	—
285	C₂²×C₈	—	43	1	no	—
286	C₂²×C₈	—	86	1	no	—
287	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
288	C₄⋊Q₈	—	86	2	no	—
289	#125	—	86	2	no	—
290	C₂²⋊Q₈	—	172	2	no	—
291	C₄×Q₈	—	172	2	no	—
292	#117	—	43	2	no	—
293	#117	C₂²×D₄₃	1	2	yes	—
294	#117	C₂²×D₄₃	1	2	yes	—
295	C₂×C₄²	—	43	1	no	—
296	#108	—	86	2	no	—
297	#108	—	86	1	no	—
298	#108	—	86	1	no	—
299	#107	—	2	1	no	—
300	#107	—	2	1	no	—
301	#107	—	86	2	no	—
302	#107	—	86	1	no	—
303	#106	—	2	1	no	—
304	#106	—	2	1	no	—
305	#106	—	86	2	no	—
306	#106	—	86	1	no	—
307	#104	—	86	2	no	—
308	#104	—	86	2	no	—
309	#104	—	172	2	no	—
310	#104	—	172	2	no	—
311	#99	—	4	2	no	—
312	#99	—	172	2	no	—
313	#97	—	43	2	no	—
314	#97	—	43	2	no	—
315	#97	—	86	2	no	—
316	C₄×C₈	—	86	2	no	—
317	#41	—	2	1	no	—
318	#41	—	2	1	no	—
319	#41	—	2	1	no	—
320	#41	—	2	1	no	—
321	#41	—	86	1	no	—
322	#41	—	86	1	no	—
323	#41	—	86	1	no	—
324	#41	—	86	1	no	—
325	C₂×Q₈	—	43	1	no	—
326	C₂×Q₈	—	172	2	no	—
327	C₂×Q₈	Q₈×D₄₃	1	1	yes	characteristic
328	C₂×D₄	—	2	1	no	—
329	C₂×D₄	—	43	1	no	—
330	C₂×D₄	—	86	1	no	—
331	C₂×D₄	Q₈×D₄₃	1	1	yes	characteristic
332	C₂²×C₄	—	2	1	no	—
333	C₂²×C₄	—	86	1	no	—
334	C₂²×C₄	—	86	1	no	—
335	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
336	Q₁₆	—	86	2	no	—
337	SD₁₆	—	86	2	no	—
338	SD₁₆	—	86	2	no	—
339	D₈	—	86	2	no	—
340	M₁₆	—	2	1	no	—
341	M₁₆	—	2	1	no	—
342	M₁₆	—	4	1	no	—
343	M₁₆	—	4	1	no	—
344	M₁₆	—	86	1	no	—
345	M₁₆	—	86	1	no	—
346	M₁₆	—	86	2	no	—
347	M₁₆	—	86	2	no	—
348	M₁₆	—	172	1	no	—
349	M₁₆	—	172	1	no	—
350	C₂×C₈	—	2	1	no	—
351	C₂×C₈	—	4	1	no	—
352	C₂×C₈	—	4	1	no	—
353	C₂×C₈	—	43	2	no	—
354	C₂×C₈	—	43	1	no	—
355	C₂×C₈	—	43	1	no	—
356	C₂×C₈	—	43	2	no	—
357	C₂×C₈	—	86	2	no	—
358	C₂×C₈	—	86	1	no	—
359	C₂×C₈	—	172	1	no	—
360	C₂×C₈	—	172	1	no	—
361	C₂×C₈	#10621898	1	1	yes	characteristic
362	C₂×C₈	#10621898	1	1	yes	characteristic
363	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
364	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
365	C₂×C₈	#10621900	1	1	yes	characteristic
366	C₂×C₈	#10621900	1	1	yes	characteristic
367	C₄⋊C₄	—	2	2	no	—
368	C₄⋊C₄	—	2	2	no	—
369	C₄⋊C₄	—	86	2	no	—
370	C₄⋊C₄	—	172	2	no	—
371	C₄⋊C₄	—	172	2	no	—
372	C₄⋊C₄	—	172	2	no	—
373	C₂²⋊C₄	—	2	2	no	—
374	C₂²⋊C₄	—	2	2	no	—
375	C₂²⋊C₄	—	86	2	no	—
376	C₄²	—	2	2	no	—
377	C₄²	—	2	2	no	—
378	C₄²	—	43	2	no	—
379	C₄²	—	86	1	no	—
380	C₄²	—	86	2	no	—
381	C₂³	—	2	1	no	—
382	C₂³	—	86	1	no	—
383	C₂³	#13063370	1	1	yes	characteristic
384	Q₈	—	2	1	no	—
385	Q₈	—	2	1	no	—
386	Q₈	—	86	1	no	—
387	Q₈	—	86	1	no	—
388	Q₈	—	344	4	no	—
389	D₄	—	2	1	no	—
390	D₄	—	2	1	no	—
391	D₄	—	4	1	no	—
392	D₄	—	4	1	no	—
393	D₄	—	86	1	no	—
394	D₄	—	86	1	no	—
395	D₄	—	172	1	no	—
396	D₄	—	172	1	no	—
397	C₂×C₄	—	2	1	no	—
398	C₂×C₄	—	4	1	no	—
399	C₂×C₄	—	4	1	no	—
400	C₂×C₄	—	4	2	no	—
401	C₂×C₄	—	4	2	no	—
402	C₂×C₄	—	86	1	no	—
403	C₂×C₄	—	86	2	no	—
404	C₂×C₄	—	344	1	no	—
405	C₂×C₄	—	172	2	no	—
406	C₂×C₄	—	172	1	no	—
407	C₂×C₄	—	172	1	no	—
408	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
409	C₂×C₄	C₂×Q₈×D₄₃	1	1	yes	characteristic
410	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
411	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
412	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
413	C₂×C₄	#13063371	1	1	yes	characteristic
414	C₈	—	4	1	no	—
415	C₈	—	43	2	no	—
416	C₈	—	43	2	no	—
417	C₈	—	172	2	no	—
418	C₈	—	172	1	no	—
419	C₈	#13063311	1	1	yes	characteristic
420	C₈	#13063311	1	1	yes	characteristic
421	C₈	#13063311	1	1	yes	characteristic
422	C₈	#13063311	1	1	yes	characteristic
423	C₂²	—	4	1	no	—
424	C₂²	—	4	1	no	—
425	C₂²	—	8	1	no	—
426	C₂²	—	344	1	no	—
427	C₂²	—	172	1	no	—
428	C₂²	#14583465	1	1	yes	characteristic
429	C₂²	#14583604	1	1	yes	characteristic
430	C₂²	#14583613	1	1	yes	characteristic
431	C₄	—	4	1	no	—
432	C₄	—	8	2	no	—
433	C₄	—	8	2	no	—
434	C₄	—	344	2	no	—
435	C₄	—	172	2	no	—
436	C₄	—	172	1	no	—
437	C₄	C₂²⋊Q₈×D₄₃	1	1	yes	characteristic
438	C₄	C₂×#13063311	1	1	yes	characteristic
439	C₄	#14583607	1	1	yes	characteristic
440	C₄	#14583612	1	1	yes	characteristic
441	C₂	—	2	1	no	—
442	C₂	—	2	1	no	—
443	C₂	—	2	1	no	—
444	C₂	—	8	1	no	—
445	C₂	—	344	1	no	—
446	C₂	#19139765	1	1	yes	characteristic

	subgroup	G/H
center	C₄	#14583612
commutator, cosocle	C₂²×C₄×C₄₃	C₂⁴
Frattini	C₂²×C₄	C₂³×D₄₃
Fitting	C₄₃×#1812	C₂
socle	C₂×C₄₃	#2563
prime radical	C₂×#13063345	C₂²
hypercenter	#1812	D₄₃
hypocenter	C₄₃	#29155
LCS	G ▷ C₂²×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ #1812

Complements

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

N	H ≅ G/N	type
1. #19145118	C₂	semidirect
3. #19135769	C₂	semidirect
4. #19135766	C₂	semidirect
6. #19134717	C₂	semidirect
7. #19134649	C₂	semidirect
8. #19134646	C₂	semidirect
9. #19134638	C₂	semidirect
10. #19134481	C₂	semidirect
11. C₄₃×#1812	C₂	semidirect
42. C₂×#10621885	Q₈	semidirect
43. C₂×#10621883	Q₈	semidirect
44. C₂×#10621884	Q₈	semidirect
45. C₂×#10621882	Q₈	semidirect
227. #1812	D₄₃	semidirect
262. C₄₃	#29155	semidirect

Maximal subgroups

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

subgroup	index
#19145118	2
C₂×#14583019	2
#19135769	2
#19135766	2
#19135490	2
#19134717	2
#19134649	2
#19134646	2
#19134638	2
#19134481	2
C₄₃×#1812	2
#29155	43