Subgroups — #25067436

Order 11008.

624 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	#19145170	C₂	1	1	yes	maximal, characteristic
2	#19143673	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143671	C₂	1	1	yes	maximal, characteristic, complemented
4	#19133462	C₂	1	2	yes	maximal, complemented
5	#19133456	C₂	1	2	yes	maximal, complemented
6	#19133427	C₂	1	2	yes	maximal, complemented
7	#19133421	C₂	1	2	yes	maximal, complemented
8	#19133356	C₂	1	1	yes	maximal, characteristic, complemented
9	#19133065	C₂	1	1	yes	maximal, characteristic, complemented
10	#19132888	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#1496	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583449	C₂²	1	1	yes	characteristic
13	#14583302	C₄	1	1	yes	characteristic
14	#14583275	C₄	1	1	yes	characteristic
15	#14583247	C₄	1	1	yes	characteristic
16	#14583245	C₄	1	1	yes	characteristic
17	#14583133	C₄	1	2	yes	—
18	#14583133	C₄	1	2	yes	—
19	C₄×#10621882	C₂²	1	2	yes	—
20	C₄×#10621882	C₂²	1	2	yes	—
21	#14582977	C₂²	1	2	yes	—
22	#14582976	C₂²	1	2	yes	—
23	#14582972	—	2	2	no	—
24	#14582971	—	2	2	no	—
25	D₄×C₄₃⋊C₈	C₂²	1	2	yes	—
26	#14582964	C₂²	1	2	yes	—
27	#14582956	C₂²	1	1	yes	characteristic
28	#14582952	C₂²	1	1	yes	characteristic
29	#14582866	—	2	2	no	—
30	#14582864	—	2	2	no	—
31	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
32	#14582651	C₂²	1	2	yes	—
33	#14582649	C₂²	1	2	yes	—
34	#14582628	C₂²	1	2	yes	—
35	#14582628	C₂²	1	2	yes	—
36	#14582621	C₂²	1	1	yes	characteristic
37	#14582621	C₂²	1	1	yes	characteristic
38	#14582620	C₂²	1	1	yes	characteristic
39	#14582620	C₂²	1	1	yes	characteristic
40	C₄₃×#532	C₂²	1	1	yes	characteristic
41	C₄₃×#432	C₂²	1	1	yes	characteristic
42	C₄₃×#431	C₂²	1	1	yes	characteristic
43	C₄₃×D₄⋊C₈	C₂²	1	2	yes	—
44	C₄₃×D₄⋊C₈	C₂²	1	2	yes	—
45	C₂×#10621898	—	2	1	no	—
46	C₂×#10621882	C₂×C₄	1	2	yes	—
47	C₂×#10621882	C₂×C₄	1	2	yes	—
48	C₂×#10621877	—	2	2	no	—
49	C₂×#10621872	—	2	2	no	—
50	C₂²×C₄₃⋊C₈	—	2	2	no	—
51	C₂²×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
52	C₂²×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
53	C₂×C₈×D₄₃	—	2	2	no	—
54	#13063325	C₂×C₄	1	1	yes	characteristic
55	#13063322	C₂×C₄	1	1	yes	characteristic
56	#13063313	—	2	1	no	—
57	#13063299	—	2	1	no	—
58	#13063299	C₂×C₄	1	2	yes	—
59	C₄×D₁₇₂	—	2	1	no	—
60	C₄×D₁₇₂	C₂³	1	2	yes	—
61	#13063258	C₂×C₄	1	2	yes	—
62	#13063258	C₂×C₄	1	2	yes	—
63	C₄⋊(C₄₃⋊C₈)	D₄	1	2	yes	—
64	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
65	#13063246	C₂×C₄	1	2	yes	—
66	#13063246	C₂×C₄	1	2	yes	—
67	#13063245	C₂×C₄	1	2	yes	—
68	#13063245	C₂×C₄	1	2	yes	—
69	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
70	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
71	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
72	C₂²⋊(C₄₃⋊C₈)	D₄	1	2	yes	—
73	(C₂×D₄₃)⋊C₈	—	2	2	no	—
74	(C₂×D₄₃)⋊C₈	—	2	2	no	—
75	#13063236	—	2	1	no	—
76	C₄×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
77	C₄×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
78	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
79	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
80	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
81	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
82	C₂×#41×C₄₃	—	2	1	no	—
83	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
84	#127×C₄₃	C₂×C₄	1	1	yes	characteristic
85	#124×C₄₃	—	2	1	no	—
86	#121×C₄₃	—	2	1	no	—
87	#121×C₄₃	C₂×C₄	1	2	yes	—
88	C₄×D₄×C₄₃	—	2	1	no	—
89	C₄×D₄×C₄₃	C₂³	1	2	yes	—
90	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
91	C₄⋊C₈×C₄₃	—	2	1	no	—
92	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
93	C₂²⋊C₈×C₄₃	—	2	1	no	—
94	C₂²⋊C₈×C₄₃	—	2	1	no	—
95	#97×C₄₃	—	2	1	no	—
96	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
97	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
98	#41×C₄₃	—	8	2	no	—
99	C₂×Q₈×C₄₃	—	2	1	no	—
100	C₂×D₄×C₄₃	—	2	1	no	—
101	C₂×D₄×C₄₃	—	2	1	no	—
102	C₂×D₄×C₄₃	—	2	2	no	—
103	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
104	C₂²×C₄×C₄₃	—	2	2	no	—
105	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
106	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
107	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
108	C₂×C₂²⋊D₄₃	—	2	2	no	—
109	#10621898	—	8	2	no	—
110	C₂×D₁₇₂	—	2	1	no	—
111	C₂×D₁₇₂	—	2	1	no	—
112	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
113	C₂×C₄×D₄₃	—	2	2	no	—
114	C₂×Dic₈₆	—	2	1	no	—
115	C₂×C₈×C₄₃	—	2	2	no	—
116	C₂×C₈×C₄₃	—	2	1	no	—
117	C₂×C₈×C₄₃	—	2	1	no	—
118	C₄⋊C₄×C₄₃	—	2	1	no	—
119	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
120	C₂²⋊C₄×C₄₃	—	2	2	no	—
121	C₂²⋊C₄×C₄₃	—	2	2	no	—
122	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
123	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₄₃	#41	1	1	yes	characteristic
125	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
126	#10621882	—	4	2	no	—
127	#10621882	—	4	2	no	—
128	(C₂×D₄₃)⋊C₄	—	2	2	no	—
129	(C₂×D₄₃)⋊C₄	—	2	2	no	—
130	C₄⋊Dic₄₃	—	2	1	no	—
131	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
132	#10621877	—	8	2	no	—
133	C₂×C₄₃⋊C₈	—	2	2	no	—
134	C₂×C₄₃⋊C₈	—	4	1	no	—
135	C₂×C₄₃⋊C₈	—	4	1	no	—
136	C₂×C₄₃⋊C₈	—	8	2	no	—
137	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
138	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
139	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
140	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
141	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
142	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
143	#10621872	—	8	2	no	—
144	C₈×D₄₃	—	8	2	no	—
145	C₂³×C₄₃	—	2	2	no	—
146	C₂³×C₄₃	C₄×D₄	1	1	yes	characteristic
147	C₂²×D₄₃	—	2	2	no	—
148	Q₈×C₄₃	—	8	1	no	—
149	D₄×C₄₃	—	2	2	no	—
150	D₄×C₄₃	—	2	2	no	—
151	D₄×C₄₃	—	8	1	no	—
152	D₄×C₄₃	—	8	1	no	—
153	D₄×C₄₃	—	8	2	no	—
154	C₂×C₄×C₄₃	—	2	1	no	—
155	C₂×C₄×C₄₃	—	2	1	no	—
156	C₂×C₄×C₄₃	—	2	2	no	—
157	C₂×C₄×C₄₃	—	2	2	no	—
158	C₂×C₄×C₄₃	—	4	1	no	—
159	C₂×C₄×C₄₃	—	4	2	no	—
160	C₂×C₄×C₄₃	—	4	2	no	—
161	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
163	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
164	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
165	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
167	C₂²⋊D₄₃	—	8	2	no	—
168	C₂×Dic₄₃	—	2	2	no	—
169	D₁₇₂	—	2	2	no	—
170	D₁₇₂	—	2	2	no	—
171	D₁₇₂	—	8	1	no	—
172	D₁₇₂	—	8	1	no	—
173	C₄×D₄₃	—	4	2	no	—
174	C₄×D₄₃	—	4	2	no	—
175	Dic₈₆	—	8	1	no	—
176	C₈×C₄₃	—	4	1	no	—
177	C₈×C₄₃	—	4	1	no	—
178	C₈×C₄₃	—	4	2	no	—
179	C₄₃⋊C₈	—	2	1	no	—
180	C₄₃⋊C₈	—	2	1	no	—
181	C₄₃⋊C₈	—	2	1	no	—
182	C₄₃⋊C₈	—	2	1	no	—
183	C₄₃⋊C₈	—	2	2	no	—
184	C₄₃⋊C₈	—	2	2	no	—
185	C₄₃⋊C₈	—	4	2	no	—
186	#17989	—	43	1	no	maximal, Sylow
187	C₂²×C₄₃	—	2	1	no	—
188	C₂²×C₄₃	—	2	1	no	—
189	C₂²×C₄₃	—	2	1	no	—
190	C₂²×C₄₃	—	4	2	no	—
191	C₂²×C₄₃	—	4	2	no	—
192	C₂²×C₄₃	—	4	2	no	—
193	C₂²×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
194	C₂×D₄₃	—	4	2	no	—
195	C₂×D₄₃	—	4	2	no	—
196	C₂×D₄₃	—	4	2	no	—
197	C₄×C₄₃	—	2	1	no	—
198	C₄×C₄₃	—	2	1	no	—
199	C₄×C₄₃	—	2	1	no	—
200	C₄×C₄₃	—	2	1	no	—
201	C₄×C₄₃	—	4	2	no	—
202	C₄×C₄₃	#568	1	1	yes	characteristic
203	C₄×C₄₃	#568	1	1	yes	characteristic
204	C₄×C₄₃	#576	1	2	yes	—
205	Dic₄₃	—	4	2	no	—
206	#3169	—	43	1	no	—
207	#2981	—	43	1	no	—
208	#2981	—	43	1	no	—
209	#1586	—	43	2	no	—
210	#1586	—	43	2	no	—
211	#1581	—	43	2	no	—
212	#1581	—	43	2	no	—
213	#1568	—	43	1	no	—
214	#1496	—	43	1	no	—
215	#1496	D₄₃	1	1	yes	characteristic, complemented
216	#1452	—	43	1	no	—
217	C₂×C₄₃	—	4	1	no	—
218	C₂×C₄₃	—	8	2	no	—
219	C₂×C₄₃	#2932	1	1	yes	characteristic
220	C₂×C₄₃	#2948	1	1	yes	characteristic
221	C₂×C₄₃	#2957	1	1	yes	characteristic
222	D₄₃	—	8	2	no	—
223	#532	—	43	1	no	—
224	#532	C₂×D₄₃	1	1	yes	characteristic
225	#500	—	43	1	no	—
226	#493	—	43	1	no	—
227	#486	—	43	1	no	—
228	#486	—	43	1	no	—
229	#466	—	43	2	no	—
230	#466	—	43	2	no	—
231	C₄×D₈	—	43	2	no	—
232	C₄×D₈	—	43	2	no	—
233	#436	—	43	2	no	—
234	#436	—	43	2	no	—
235	#435	—	86	2	no	—
236	#435	—	86	2	no	—
237	C₈×D₄	—	43	2	no	—
238	C₈×D₄	—	43	2	no	—
239	#432	—	43	1	no	—
240	#432	C₂×D₄₃	1	1	yes	characteristic
241	#431	—	43	1	no	—
242	#431	C₂×D₄₃	1	1	yes	characteristic
243	#408	—	86	2	no	—
244	#408	—	86	2	no	—
245	C₂×C₄×C₈	—	43	1	no	—
246	#335	—	43	2	no	—
247	#334	—	43	2	no	—
248	D₄⋊C₈	—	43	2	no	—
249	D₄⋊C₈	—	43	2	no	—
250	D₄⋊C₈	C₂×D₄₃	1	2	yes	—
251	D₄⋊C₈	C₂×D₄₃	1	2	yes	—
252	#322	—	43	1	no	—
253	#322	—	43	1	no	—
254	#322	—	43	1	no	—
255	#322	—	43	1	no	—
256	C₄₃	#17989	1	1	yes	characteristic, complemented, Sylow
257	C₂×#41	—	2	1	no	—
258	C₂×#41	—	86	1	no	—
259	C₂×D₈	—	43	2	no	—
260	C₂×D₈	—	43	2	no	—
261	C₂×M₁₆	—	86	2	no	—
262	C₂×M₁₆	—	86	2	no	—
263	C₂²×C₈	—	43	1	no	—
264	C₂²×C₈	—	43	1	no	—
265	C₂²×C₈	—	86	2	no	—
266	C₂²×C₈	—	86	2	no	—
267	C₄⋊Q₈	—	43	1	no	—
268	C₄⋊Q₈	C₄×D₄₃	1	1	yes	characteristic
269	#127	—	43	1	no	—
270	#127	C₄×D₄₃	1	1	yes	characteristic
271	#124	—	2	1	no	—
272	#124	—	86	1	no	—
273	#121	—	2	1	no	—
274	#121	—	43	2	no	—
275	#121	—	86	1	no	—
276	#121	C₄×D₄₃	1	2	yes	—
277	C₄×D₄	—	2	1	no	—
278	C₄×D₄	—	43	2	no	—
279	C₄×D₄	—	86	1	no	—
280	C₄×D₄	C₂²×D₄₃	1	2	yes	—
281	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
282	#107	—	43	2	no	—
283	#107	—	43	2	no	—
284	C₄⋊C₈	—	2	1	no	—
285	C₄⋊C₈	—	43	2	no	—
286	C₄⋊C₈	—	43	2	no	—
287	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
288	#102	—	43	2	no	—
289	#102	—	43	2	no	—
290	#102	—	43	2	no	—
291	#102	—	43	2	no	—
292	C₂²⋊C₈	—	2	1	no	—
293	C₂²⋊C₈	—	2	1	no	—
294	C₂²⋊C₈	—	43	2	no	—
295	C₂²⋊C₈	—	86	2	no	—
296	C₂²⋊C₈	—	86	2	no	—
297	C₂²⋊C₈	—	86	2	no	—
298	C₂²⋊C₈	—	86	2	no	—
299	C₂²⋊C₈	—	86	1	no	—
300	#97	—	2	1	no	—
301	#97	—	86	1	no	—
302	C₄×C₈	—	43	1	no	—
303	C₄×C₈	—	43	1	no	—
304	C₄×C₈	—	43	1	no	—
305	C₄×C₈	—	43	1	no	—
306	C₄×C₈	—	43	1	no	—
307	C₄×C₈	—	43	1	no	—
308	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
309	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
310	#41	—	8	2	no	—
311	#41	—	344	2	no	—
312	C₂×Q₈	—	2	1	no	—
313	C₂×Q₈	—	86	1	no	—
314	C₂×D₄	—	2	2	no	—
315	C₂×D₄	—	2	1	no	—
316	C₂×D₄	—	2	1	no	—
317	C₂×D₄	—	43	2	no	—
318	C₂×D₄	—	86	2	no	—
319	C₂×D₄	—	86	1	no	—
320	C₂×D₄	—	86	1	no	—
321	C₂×D₄	C₂×C₄×D₄₃	1	2	yes	—
322	C₂²×C₄	—	2	2	no	—
323	C₂²×C₄	—	86	2	no	—
324	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
325	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
326	C₂²×C₄	#10621900	1	1	yes	characteristic
327	D₈	—	172	2	no	—
328	D₈	—	172	2	no	—
329	M₁₆	—	344	2	no	—
330	M₁₆	—	344	2	no	—
331	C₂×C₈	—	2	2	no	—
332	C₂×C₈	—	2	1	no	—
333	C₂×C₈	—	2	1	no	—
334	C₂×C₈	—	43	1	no	—
335	C₂×C₈	—	43	1	no	—
336	C₂×C₈	—	43	1	no	—
337	C₂×C₈	—	43	1	no	—
338	C₂×C₈	—	43	2	no	—
339	C₂×C₈	—	43	2	no	—
340	C₂×C₈	—	86	2	no	—
341	C₂×C₈	—	344	2	no	—
342	C₂×C₈	—	344	2	no	—
343	C₂×C₈	—	172	1	no	—
344	C₂×C₈	—	172	1	no	—
345	C₄⋊C₄	—	2	1	no	—
346	C₄⋊C₄	—	43	2	no	—
347	C₄⋊C₄	—	86	1	no	—
348	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
349	C₂²⋊C₄	—	2	2	no	—
350	C₂²⋊C₄	—	2	2	no	—
351	C₂²⋊C₄	—	86	2	no	—
352	C₂²⋊C₄	—	86	2	no	—
353	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
354	C₄²	D₄×D₄₃	1	1	yes	characteristic
355	C₄²	#10621900	1	1	yes	characteristic
356	C₄²	C₂³×D₄₃	1	1	yes	characteristic
357	C₂³	—	2	2	no	—
358	C₂³	—	86	2	no	—
359	C₂³	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
360	Q₈	—	8	1	no	—
361	Q₈	—	344	1	no	—
362	D₄	—	2	2	no	—
363	D₄	—	2	2	no	—
364	D₄	—	8	1	no	—
365	D₄	—	8	1	no	—
366	D₄	—	8	2	no	—
367	D₄	—	86	2	no	—
368	D₄	—	86	2	no	—
369	D₄	—	344	1	no	—
370	D₄	—	344	1	no	—
371	D₄	—	344	2	no	—
372	C₂×C₄	—	2	1	no	—
373	C₂×C₄	—	2	1	no	—
374	C₂×C₄	—	2	2	no	—
375	C₂×C₄	—	2	2	no	—
376	C₂×C₄	—	4	1	no	—
377	C₂×C₄	—	4	2	no	—
378	C₂×C₄	—	4	2	no	—
379	C₂×C₄	—	86	2	no	—
380	C₂×C₄	—	172	2	no	—
381	C₂×C₄	—	172	2	no	—
382	C₂×C₄	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
383	C₂×C₄	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
384	C₂×C₄	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
385	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
386	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
387	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
388	C₈	—	4	1	no	—
389	C₈	—	4	1	no	—
390	C₈	—	4	2	no	—
391	C₈	—	86	1	no	—
392	C₈	—	86	1	no	—
393	C₈	—	86	1	no	—
394	C₈	—	86	1	no	—
395	C₈	—	86	2	no	—
396	C₈	—	86	2	no	—
397	C₈	—	172	2	no	—
398	C₂²	—	2	1	no	—
399	C₂²	—	2	1	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	4	2	no	—
402	C₂²	—	4	2	no	—
403	C₂²	—	4	2	no	—
404	C₂²	—	172	2	no	—
405	C₂²	—	172	2	no	—
406	C₂²	—	172	2	no	—
407	C₂²	C₂×(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
408	C₄	—	2	1	no	—
409	C₄	—	2	1	no	—
410	C₄	—	2	1	no	—
411	C₄	—	2	1	no	—
412	C₄	—	4	2	no	—
413	C₄	—	172	2	no	—
414	C₄	#14583664	1	1	yes	characteristic
415	C₄	#14583664	1	1	yes	characteristic
416	C₄	#14583703	1	2	yes	—
417	C₂	—	4	1	no	—
418	C₂	—	8	2	no	—
419	C₂	—	344	2	no	—
420	C₂	#19143310	1	1	yes	characteristic
421	C₂	#19143443	1	1	yes	characteristic
422	C₂	#19143508	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#1496	C₂
socle	C₂²×C₄₃	C₂×C₄×D₄
prime radical	#19145170	C₂
cosocle	C₄²×C₄₃	C₂⁴
hypercenter	#1496	D₄₃
hypocenter	C₄₃	#17989
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1496

Complements

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

N	H ≅ G/N	type
2. #19143673	C₂	semidirect
3. #19143671	C₂	semidirect
4. #19133462	C₂	semidirect
5. #19133456	C₂	semidirect
6. #19133427	C₂	semidirect
7. #19133421	C₂	semidirect
8. #19133356	C₂	semidirect
9. #19133065	C₂	semidirect
10. #19132888	C₂	semidirect
11. C₄₃×#1496	C₂	semidirect
215. #1496	D₄₃	semidirect
256. C₄₃	#17989	semidirect

Maximal subgroups

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

subgroup	index
#19145170	2
#19143673	2
#19143671	2
#19133462	2
#19133456	2
#19133427	2
#19133421	2
#19133356	2
#19133065	2
#19132888	2
C₄₃×#1496	2
#17989	43