Subgroups — #25115071

Order 11008.

862 conjugacy classes of subgroups.

The subgroup lattice has 426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583015	C₂	1	1	yes	maximal, characteristic
2	#19143480	C₂	1	1	yes	maximal, characteristic
3	#19143478	C₂	1	1	yes	maximal, characteristic
4	#19143189	C₂	1	2	yes	maximal, complemented
5	#19135376	C₂	1	1	yes	maximal, characteristic, complemented
6	#19134824	C₂	1	2	yes	maximal, complemented
7	#19134818	C₂	1	2	yes	maximal, complemented
8	#19134750	C₂	1	1	yes	maximal, characteristic, complemented
9	#19134653	C₂	1	2	yes	maximal, complemented
10	#19134475	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#1951	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13063347	C₂²	1	1	yes	characteristic
13	C₂×#13063333	C₂²	1	2	yes	—
14	#14583380	C₂²	1	2	yes	—
15	#14583379	C₂²	1	2	yes	—
16	#14583015	C₄	1	8	yes	complemented
17	#14583012	—	2	1	no	—
18	#14583010	—	2	1	no	—
19	#14583007	—	2	1	no	—
20	#14583005	—	2	1	no	—
21	C₄×#10621873	—	2	2	no	—
22	#14582986	—	2	2	no	—
23	C₂×#13063260	C₂²	1	1	yes	characteristic
24	#14582941	C₂²	1	2	yes	—
25	#14582940	—	2	2	no	—
26	#14582938	—	2	2	no	—
27	#14582936	—	2	2	no	—
28	#14582935	C₂²	1	1	yes	characteristic
29	C₂×#13063257	C₂²	1	1	yes	characteristic
30	C₂×#13063256	C₂²	1	2	yes	—
31	#106×D₄₃	—	2	2	no	—
32	C₂×#13063251	C₂²	1	2	yes	—
33	#14582901	C₂²	1	2	yes	—
34	#14582898	C₂²	1	2	yes	—
35	#14582854	C₂²	1	1	yes	characteristic
36	C₂×C₈×Dic₄₃	C₂²	1	1	yes	characteristic
37	#14582768	C₂²	1	2	yes	—
38	#14582667	C₂²	1	2	yes	—
39	#14582660	C₂²	1	1	yes	characteristic
40	#14582658	C₂²	1	1	yes	characteristic
41	C₂×#108×C₄₃	C₂²	1	1	yes	characteristic
42	C₄₃×#428	C₂²	1	2	yes	—
43	C₂×#106×C₄₃	C₂²	1	1	yes	characteristic
44	C₄₃×#405	C₂²	1	1	yes	characteristic
45	C₄₃×#343	C₂²	1	2	yes	—
46	C₂×#10621898	C₂³	1	2	yes	—
47	#13063347	C₂×C₄	1	4	yes	—
48	#13063347	Q₈	1	4	yes	—
49	C₂×Dic₁₇₂	D₄	1	1	yes	characteristic
50	C₂×#10621873	D₄	1	2	yes	—
51	C₂×D₃₄₄	D₄	1	1	yes	characteristic
52	#13063333	—	2	4	no	—
53	#13063333	C₂×C₄	1	8	yes	complemented
54	C₂×#10621877	C₂³	1	1	yes	characteristic
55	C₂×#10621872	—	2	2	no	—
56	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
57	C₂×C₈×D₄₃	—	2	2	no	—
58	C₄×Dic₈₆	—	2	2	no	—
59	#13063290	—	2	2	no	—
60	C₄×D₁₇₂	—	2	2	no	—
61	#13063287	—	2	2	no	—
62	C₄×C₂²⋊D₄₃	—	4	2	no	—
63	(C₂²⋊D₄₃)⋊C₄	—	4	2	no	—
64	#13063284	C₂³	1	1	yes	characteristic
65	#13063283	—	2	2	no	—
66	#13063283	—	2	2	no	—
67	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
68	C₂×Dic₄₃⋊C₄	—	4	2	no	—
69	C₄⋊C₄×D₄₃	—	2	2	no	—
70	C₄⋊C₄×D₄₃	—	2	2	no	—
71	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
72	#13063260	—	2	2	no	—
73	#13063259	—	2	2	no	—
74	#13063258	D₄	1	2	yes	—
75	#13063257	—	2	1	no	—
76	#13063257	—	2	1	no	—
77	#13063257	—	2	2	no	—
78	#13063256	—	2	2	no	—
79	#13063256	—	2	2	no	—
80	#13063256	D₄	1	2	yes	—
81	#13063251	C₂×C₄	1	8	yes	complemented
82	#13063250	—	2	2	no	—
83	#13063248	—	2	2	no	—
84	#13063247	—	2	2	no	—
85	#13063245	—	2	2	no	—
86	#13063235	—	2	1	no	—
87	C₈×Dic₄₃	—	2	1	no	—
88	C₈×Dic₄₃	C₂×C₄	1	4	yes	complemented
89	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
90	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
91	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
92	#117×C₄₃	C₂³	1	1	yes	characteristic
93	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
94	#108×C₄₃	C₂×C₄	1	4	yes	complemented
95	#107×C₄₃	—	2	2	no	—
96	#106×C₄₃	—	2	1	no	—
97	#106×C₄₃	—	2	1	no	—
98	#106×C₄₃	—	2	2	no	—
99	#97×C₄₃	—	2	1	no	—
100	C₄×C₈×C₄₃	—	2	1	no	—
101	C₂²×C₄×C₄₃	—	2	2	no	—
102	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
103	C₂×C₂²⋊D₄₃	—	2	2	no	—
104	C₂²×Dic₄₃	—	2	1	no	—
105	C₂²×Dic₄₃	—	2	2	no	—
106	#10621898	—	2	2	no	—
107	#10621898	—	2	2	no	—
108	#10621898	C₂²×C₄	1	4	yes	—
109	#10621898	C₂×Q₈	1	4	yes	—
110	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
111	C₂×C₄×D₄₃	—	2	2	no	—
112	C₂×C₄×D₄₃	—	4	2	no	—
113	C₂×C₄×D₄₃	—	4	2	no	—
114	C₂×Dic₈₆	C₂×D₄	1	2	yes	—
115	M₁₆×C₄₃	—	2	2	no	—
116	M₁₆×C₄₃	—	2	1	no	—
117	M₁₆×C₄₃	—	2	1	no	—
118	M₁₆×C₄₃	C₂²×C₄	1	4	yes	—
119	C₂×C₈×C₄₃	—	2	2	no	—
120	C₂×C₈×C₄₃	—	2	1	no	—
121	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
122	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
123	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
124	C₂×C₈×C₄₃	C₂×Q₈	1	2	yes	—
125	C₄⋊C₄×C₄₃	—	2	2	no	—
126	C₄⋊C₄×C₄₃	—	2	2	no	—
127	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
128	C₂²⋊C₄×C₄₃	—	2	1	no	—
129	C₄²×C₄₃	—	2	1	no	—
130	C₂²⋊Dic₄₃	—	2	1	no	—
131	(C₂×D₄₃)⋊C₄	—	4	2	no	—
132	(C₂×D₄₃)⋊C₄	—	4	2	no	—
133	C₄⋊Dic₄₃	—	2	2	no	—
134	C₄⋊Dic₄₃	—	2	2	no	—
135	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
136	Dic₄₃⋊C₄	—	4	2	no	—
137	Dic₄₃⋊C₄	—	4	2	no	—
138	Dic₄₃⋊C₄	—	8	4	no	—
139	C₄×Dic₄₃	—	2	1	no	—
140	C₄×Dic₄₃	—	2	1	no	—
141	C₄×Dic₄₃	—	4	2	no	—
142	C₄×Dic₄₃	—	4	2	no	—
143	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
144	#10621877	—	2	1	no	—
145	#10621877	—	2	1	no	—
146	C₂×C₄₃⋊C₈	—	2	1	no	—
147	C₂×C₄₃⋊C₈	C₂²×C₄	1	2	yes	—
148	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
149	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
150	C₂×C₄₃⋊C₈	#41	1	2	yes	—
151	Dic₁₇₂	C₄⋊C₄	1	4	yes	complemented
152	D₃₄₄	C₄⋊C₄	1	4	yes	complemented
153	#10621873	C₄⋊C₄	1	8	yes	complemented
154	#10621872	—	2	8	no	—
155	C₈×D₄₃	—	2	8	no	—
156	C₂³×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
157	C₂²×D₄₃	—	2	2	no	—
158	C₂×C₄×C₄₃	—	2	2	no	—
159	C₂×C₄×C₄₃	—	4	2	no	—
160	C₂×C₄×C₄₃	—	8	2	no	—
161	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
162	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
164	C₂×C₄×C₄₃	C₂²×Q₈	1	1	yes	characteristic
165	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
166	C₂×C₄×C₄₃	2₋¹⁺⁴	1	1	yes	characteristic
167	C₂²⋊D₄₃	—	2	4	no	—
168	C₂²⋊D₄₃	—	2	4	no	—
169	C₂×Dic₄₃	—	2	4	no	—
170	C₂×Dic₄₃	—	2	2	no	—
171	C₂×Dic₄₃	—	2	2	no	—
172	C₂×Dic₄₃	—	2	2	no	—
173	C₂×Dic₄₃	—	4	2	no	—
174	C₂×Dic₄₃	—	8	2	no	—
175	D₁₇₂	—	2	2	no	—
176	D₁₇₂	C₂×C₄⋊C₄	1	4	yes	—
177	C₄×D₄₃	—	2	4	no	—
178	C₄×D₄₃	—	2	4	no	—
179	C₄×D₄₃	—	16	2	no	—
180	C₄×D₄₃	—	16	2	no	—
181	Dic₈₆	—	2	2	no	—
182	Dic₈₆	C₂×C₄⋊C₄	1	4	yes	—
183	C₈×C₄₃	—	2	4	no	—
184	C₈×C₄₃	—	4	1	no	—
185	C₈×C₄₃	C₂×C₄⋊C₄	1	2	yes	—
186	C₈×C₄₃	C₂×C₄⋊C₄	1	2	yes	—
187	C₄₃⋊C₈	—	4	1	no	—
188	C₄₃⋊C₈	C₄×D₄	1	2	yes	—
189	C₄₃⋊C₈	C₄×D₄	1	2	yes	—
190	#22689	—	43	1	no	maximal, Sylow
191	C₂²×C₄₃	—	2	2	no	—
192	C₂²×C₄₃	#520	1	1	yes	characteristic
193	C₂²×C₄₃	D₄²	1	1	yes	characteristic
194	C₂²×C₄₃	#554	1	1	yes	characteristic
195	C₂×D₄₃	—	2	4	no	—
196	C₂×D₄₃	—	4	2	no	—
197	C₂×D₄₃	—	4	2	no	—
198	C₄×C₄₃	—	4	2	no	—
199	C₄×C₄₃	—	8	2	no	—
200	C₄×C₄₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
201	C₄×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
202	C₄×C₄₃	#547	1	1	yes	characteristic
203	C₄×C₄₃	D₄×Q₈	1	1	yes	characteristic
204	Dic₄₃	—	2	4	no	—
205	Dic₄₃	—	2	4	no	—
206	Dic₄₃	—	4	2	no	—
207	Dic₄₃	—	8	2	no	—
208	C₂×#443	—	43	1	no	—
209	#2952	—	43	1	no	—
210	#2952	—	43	1	no	—
211	#2912	—	43	2	no	—
212	#1951	—	43	1	no	—
213	#1951	D₄₃	1	1	yes	characteristic, complemented
214	#1859	—	43	2	no	—
215	#1859	—	43	2	no	—
216	#1844	—	43	1	no	—
217	#1815	—	43	2	no	—
218	#1772	—	43	1	no	—
219	C₂×C₄₃	—	2	1	no	—
220	C₂×C₄₃	—	2	1	no	—
221	C₂×C₄₃	D₄×C₄⋊C₄	1	1	yes	characteristic
222	C₂×C₄₃	#3291	1	2	yes	—
223	D₄₃	—	4	4	no	—
224	C₂×#135	—	43	1	no	—
225	C₂×#131	—	43	2	no	—
226	#520	—	43	2	no	—
227	#520	—	43	2	no	—
228	#443	—	43	8	no	—
229	#442	—	86	1	no	—
230	#442	—	86	1	no	—
231	#441	—	86	1	no	—
232	#441	—	86	1	no	—
233	C₄×SD₁₆	—	86	2	no	—
234	C₄×SD₁₆	—	86	2	no	—
235	C₂×#108	—	43	1	no	—
236	C₂×#108	C₂×D₄₃	1	1	yes	characteristic
237	#428	—	43	2	no	—
238	#428	—	86	2	no	—
239	#428	—	86	2	no	—
240	#428	C₂×D₄₃	1	2	yes	—
241	#427	—	43	1	no	—
242	#427	—	86	2	no	—
243	C₂×#106	—	43	1	no	—
244	C₂×#106	—	43	2	no	—
245	C₂×#106	—	86	2	no	—
246	C₂×#106	C₂×D₄₃	1	1	yes	characteristic
247	C₂×#104	—	43	2	no	—
248	#417	—	43	2	no	—
249	#417	—	43	2	no	—
250	#405	—	43	1	no	—
251	#405	C₂×D₄₃	1	1	yes	characteristic
252	C₂×C₄×C₈	—	43	1	no	—
253	#384	—	43	2	no	—
254	#343	—	43	2	no	—
255	#343	C₂×D₄₃	1	2	yes	—
256	#339	—	43	1	no	—
257	#339	—	43	1	no	—
258	C₄₃	#22689	1	1	yes	characteristic, complemented, Sylow
259	C₂×#41	—	43	2	no	—
260	#135	—	43	4	no	—
261	#135	—	43	4	no	—
262	C₂×Q₁₆	—	43	1	no	—
263	C₂×SD₁₆	—	43	2	no	—
264	C₂×D₈	—	43	1	no	—
265	#131	—	43	8	no	—
266	#131	—	86	4	no	—
267	C₂×M₁₆	—	43	1	no	—
268	C₂×M₁₆	—	86	2	no	—
269	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
270	C₂×M₁₆	C₂²×D₄₃	1	2	yes	—
271	C₂²×C₈	—	43	1	no	—
272	C₂²×C₈	—	86	2	no	—
273	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
274	C₄×Q₈	—	86	2	no	—
275	C₄×Q₈	—	86	2	no	—
276	C₄×D₄	—	86	2	no	—
277	C₄×D₄	—	86	2	no	—
278	C₄×D₄	—	172	2	no	—
279	C₄×D₄	—	172	2	no	—
280	#117	—	43	1	no	—
281	#117	—	86	2	no	—
282	#117	—	86	2	no	—
283	#117	C₂²×D₄₃	1	1	yes	characteristic
284	C₂×C₄⋊C₄	—	43	2	no	—
285	C₂×C₄⋊C₄	—	86	2	no	—
286	C₂×C₄⋊C₄	—	86	2	no	—
287	C₂×C₄⋊C₄	—	172	2	no	—
288	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
289	C₂×C₄²	—	43	1	no	—
290	#108	—	86	2	no	—
291	#108	C₄×D₄₃	1	4	yes	complemented
292	#107	—	2	2	no	—
293	#107	—	43	2	no	—
294	#107	—	86	2	no	—
295	#106	—	2	1	no	—
296	#106	—	2	1	no	—
297	#106	—	2	2	no	—
298	#106	—	43	2	no	—
299	#106	—	86	2	no	—
300	#106	—	86	2	no	—
301	#106	—	86	2	no	—
302	#106	—	86	1	no	—
303	#106	—	86	1	no	—
304	#104	—	43	8	no	—
305	#103	—	86	2	no	—
306	#103	—	86	2	no	—
307	#102	—	86	2	no	—
308	#102	—	86	2	no	—
309	#97	—	2	1	no	—
310	#97	—	86	1	no	—
311	C₄×C₈	—	2	1	no	—
312	C₄×C₈	—	43	4	no	—
313	C₄×C₈	—	86	1	no	—
314	#41	—	43	4	no	—
315	#41	—	43	4	no	—
316	#41	—	86	2	no	—
317	#41	—	86	2	no	—
318	C₂×Q₈	—	43	2	no	—
319	C₂×D₄	—	43	2	no	—
320	C₂×D₄	—	86	2	no	—
321	C₂²×C₄	—	2	2	no	—
322	C₂²×C₄	—	86	1	no	—
323	C₂²×C₄	—	86	2	no	—
324	C₂²×C₄	—	86	2	no	—
325	C₂²×C₄	—	172	2	no	—
326	C₂²×C₄	—	172	2	no	—
327	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
328	Q₁₆	—	43	4	no	—
329	SD₁₆	—	43	8	no	—
330	D₈	—	43	4	no	—
331	M₁₆	—	2	2	no	—
332	M₁₆	—	2	1	no	—
333	M₁₆	—	2	1	no	—
334	M₁₆	—	86	8	no	—
335	M₁₆	—	86	1	no	—
336	M₁₆	—	86	1	no	—
337	M₁₆	C₂×C₄×D₄₃	1	4	yes	—
338	C₂×C₈	—	2	2	no	—
339	C₂×C₈	—	2	1	no	—
340	C₂×C₈	—	43	2	no	—
341	C₂×C₈	—	43	1	no	—
342	C₂×C₈	—	43	1	no	—
343	C₂×C₈	—	43	2	no	—
344	C₂×C₈	—	86	8	no	—
345	C₂×C₈	—	86	1	no	—
346	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
347	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
348	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
349	C₂×C₈	Q₈×D₄₃	1	2	yes	—
350	C₄⋊C₄	—	2	2	no	—
351	C₄⋊C₄	—	2	2	no	—
352	C₄⋊C₄	—	43	2	no	—
353	C₄⋊C₄	—	86	2	no	—
354	C₄⋊C₄	—	86	2	no	—
355	C₄⋊C₄	—	344	4	no	—
356	C₄⋊C₄	—	172	2	no	—
357	C₄⋊C₄	—	172	2	no	—
358	C₄⋊C₄	D₄×D₄₃	1	2	yes	—
359	C₂²⋊C₄	—	2	1	no	—
360	C₂²⋊C₄	—	86	1	no	—
361	C₂²⋊C₄	—	172	2	no	—
362	C₂²⋊C₄	—	172	2	no	—
363	C₄²	—	2	1	no	—
364	C₄²	—	43	2	no	—
365	C₄²	—	86	1	no	—
366	C₄²	—	86	1	no	—
367	C₄²	—	172	2	no	—
368	C₄²	—	172	2	no	—
369	C₂³	—	86	2	no	—
370	C₂³	#13063371	1	1	yes	characteristic
371	Q₈	—	43	4	no	—
372	Q₈	—	86	2	no	—
373	D₄	—	43	4	no	—
374	D₄	—	86	4	no	—
375	D₄	—	86	4	no	—
376	D₄	—	86	2	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	4	2	no	—
379	C₂×C₄	—	8	2	no	—
380	C₂×C₄	—	86	4	no	—
381	C₂×C₄	—	86	2	no	—
382	C₂×C₄	—	86	2	no	—
383	C₂×C₄	—	86	4	no	—
384	C₂×C₄	—	86	4	no	—
385	C₂×C₄	—	86	2	no	—
386	C₂×C₄	—	344	2	no	—
387	C₂×C₄	—	172	2	no	—
388	C₂×C₄	—	688	2	no	—
389	C₂×C₄	—	688	2	no	—
390	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
391	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
392	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
393	C₂×C₄	C₂×Q₈×D₄₃	1	1	yes	characteristic
394	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
395	C₂×C₄	#13063373	1	1	yes	characteristic
396	C₈	—	2	4	no	—
397	C₈	—	4	1	no	—
398	C₈	—	43	2	no	—
399	C₈	—	43	2	no	—
400	C₈	—	172	1	no	—
401	C₈	C₄⋊C₄×D₄₃	1	2	yes	—
402	C₈	C₄⋊C₄×D₄₃	1	2	yes	—
403	C₂²	—	2	2	no	—
404	C₂²	—	86	4	no	—
405	C₂²	—	172	2	no	—
406	C₂²	—	172	2	no	—
407	C₂²	#14583381	1	1	yes	characteristic
408	C₂²	#14583533	1	1	yes	characteristic
409	C₂²	#14583605	1	1	yes	characteristic
410	C₄	—	4	2	no	—
411	C₄	—	8	2	no	—
412	C₄	—	86	4	no	—
413	C₄	—	86	4	no	—
414	C₄	—	344	2	no	—
415	C₄	—	172	2	no	—
416	C₄	C₂×C₄⋊C₄×D₄₃	1	1	yes	characteristic
417	C₄	C₄×D₄×D₄₃	1	1	yes	characteristic
418	C₄	#14583551	1	1	yes	characteristic
419	C₄	#14583564	1	1	yes	characteristic
420	C₂	—	2	1	no	—
421	C₂	—	2	1	no	—
422	C₂	—	172	4	no	—
423	C₂	#19137496	1	1	yes	characteristic
424	C₂	#19146387	1	2	yes	—

	subgroup	G/H
center	C₂²	#14583533
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₃
Fitting	C₄₃×#1951	C₂
socle	C₂²×C₄₃	D₄²
prime radical	C₂×#13063347	C₂²
cosocle	C₂²×C₄×C₄₃	C₂⁴
hypercenter	#1951	D₄₃
hypocenter	C₄₃	#22689
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #1951

Complements

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

N	H ≅ G/N	type
4. #19143189	C₂	semidirect
5. #19135376	C₂	semidirect
6. #19134824	C₂	semidirect
7. #19134818	C₂	semidirect
8. #19134750	C₂	semidirect
9. #19134653	C₂	semidirect
10. #19134475	C₂	semidirect
11. C₄₃×#1951	C₂	semidirect
16. #14583015	C₄	semidirect
53. #13063333	C₂×C₄	semidirect
81. #13063251	C₂×C₄	semidirect
88. C₈×Dic₄₃	C₂×C₄	semidirect
94. #108×C₄₃	C₂×C₄	semidirect
151. Dic₁₇₂	C₄⋊C₄	semidirect
152. D₃₄₄	C₄⋊C₄	semidirect
153. #10621873	C₄⋊C₄	semidirect
213. #1951	D₄₃	semidirect
258. C₄₃	#22689	semidirect
291. #108	C₄×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583015	2
#19143480	2
#19143478	2
#19143189	2
#19135376	2
#19134824	2
#19134818	2
#19134750	2
#19134653	2
#19134475	2
C₄₃×#1951	2
#22689	43