Subgroups — #25079734

Order 11008.

714 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	#19145720	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583245	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143307	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134126	C₂	1	4	yes	maximal, complemented
5	#19134002	C₂	1	4	yes	maximal, complemented
6	#19133341	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133275	C₂	1	1	yes	maximal, characteristic, complemented
8	#19133263	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#3205	C₂	1	1	yes	maximal, characteristic
10	C₂×#13063332	—	2	1	no	—
11	C₂×#13063325	C₂²	1	1	yes	characteristic
12	#14583295	—	2	1	no	—
13	#14583245	—	2	1	no	—
14	#14583245	—	2	1	no	—
15	#14583245	—	2	1	no	—
16	#14583245	C₂²	1	2	yes	—
17	#14583245	C₂²	1	2	yes	—
18	#14583215	—	2	2	no	—
19	#14583189	C₂²	1	4	yes	complemented
20	#14582977	—	2	1	no	—
21	#14582977	C₂²	1	2	yes	complemented
22	D₄×C₄₃⋊C₈	—	2	1	no	—
23	D₄×C₄₃⋊C₈	C₂²	1	2	yes	complemented
24	#14582952	C₂²	1	1	yes	characteristic
25	#14582923	C₂²	1	1	yes	characteristic
26	C₂×#13063246	—	2	1	no	—
27	C₂×#13063246	—	2	1	no	—
28	#14582866	—	2	1	no	—
29	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
30	#14582651	C₂²	1	2	yes	complemented
31	#14582649	C₂²	1	2	yes	complemented
32	#14582647	C₂²	1	4	yes	complemented
33	#14582643	C₂²	1	4	yes	—
34	C₄₃×#532	C₂²	1	1	yes	characteristic
35	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
36	C₄₃×#493	—	2	1	no	—
37	C₄₃×#486	—	2	1	no	—
38	C₄₃×#459	C₂²	1	4	yes	—
39	C₄₃×#447	—	2	2	no	—
40	C₄₃×#431	C₂²	1	1	yes	characteristic
41	C₂²×Dic₈₆	—	2	1	no	—
42	#13063332	—	4	4	no	—
43	C₂×#10621877	—	2	1	no	—
44	C₂×#10621877	—	2	2	no	—
45	C₂²×C₄₃⋊C₈	—	2	2	no	—
46	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
47	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
48	#13063325	—	2	1	no	—
49	#13063325	—	2	1	no	—
50	#13063325	—	2	1	no	—
51	#13063325	C₂³	1	2	yes	—
52	C₂×C₄⋊Dic₄₃	—	2	1	no	—
53	C₂×C₄⋊Dic₄₃	—	2	1	no	—
54	#13063256	—	2	4	no	—
55	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
56	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
57	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
58	#13063246	—	2	4	no	—
59	#13063246	—	2	2	no	—
60	#13063246	—	2	2	no	—
61	#13063246	—	2	2	no	—
62	#13063246	—	2	2	no	—
63	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
64	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
65	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
66	C₄×C₄₃⋊C₈	—	2	1	no	—
67	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
68	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
69	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
70	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
71	C₂×#41×C₄₃	—	2	1	no	—
72	C₂²×D₄×C₄₃	—	2	1	no	—
73	C₂²×D₄×C₄₃	—	2	1	no	—
74	C₂²×D₄×C₄₃	—	2	1	no	—
75	C₂×D₈×C₄₃	—	2	4	no	—
76	C₄⋊Q₈×C₄₃	D₄	1	1	yes	characteristic
77	#127×C₄₃	—	2	1	no	—
78	#127×C₄₃	—	2	1	no	—
79	#127×C₄₃	—	2	1	no	—
80	#127×C₄₃	D₄	1	1	yes	characteristic
81	#127×C₄₃	C₂³	1	2	yes	—
82	#124×C₄₃	—	2	1	no	—
83	#121×C₄₃	—	2	1	no	—
84	#121×C₄₃	D₄	1	2	yes	—
85	C₄×D₄×C₄₃	—	2	1	no	—
86	C₄×D₄×C₄₃	C₂³	1	2	yes	—
87	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
89	#102×C₄₃	—	2	4	no	—
90	C₂²⋊C₈×C₄₃	—	2	1	no	—
91	C₄×C₈×C₄₃	—	2	1	no	—
92	C₂⁴×C₄₃	—	4	1	no	—
93	#41×C₄₃	—	4	2	no	—
94	#41×C₄₃	—	4	2	no	—
95	C₂×Q₈×C₄₃	—	2	1	no	—
96	C₂×D₄×C₄₃	—	2	1	no	—
97	C₂×D₄×C₄₃	—	2	1	no	—
98	C₂×D₄×C₄₃	—	2	2	no	—
99	C₂×D₄×C₄₃	—	2	2	no	—
100	C₂×D₄×C₄₃	—	2	2	no	—
101	C₂×D₄×C₄₃	—	2	2	no	—
102	C₂×D₄×C₄₃	—	4	1	no	—
103	C₂×D₄×C₄₃	—	4	1	no	—
104	C₂×D₄×C₄₃	—	4	1	no	—
105	C₂×D₄×C₄₃	—	4	2	no	—
106	C₂×D₄×C₄₃	—	4	2	no	—
107	C₂×D₄×C₄₃	—	8	2	no	—
108	C₂×D₄×C₄₃	—	8	2	no	—
109	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
110	C₂²×C₄×C₄₃	—	2	2	no	—
111	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
112	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
113	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
114	C₂²×Dic₄₃	—	4	1	no	—
115	C₂×Dic₈₆	—	2	2	no	—
116	C₂×Dic₈₆	—	4	1	no	—
117	C₂×Dic₈₆	—	8	2	no	—
118	D₈×C₄₃	—	8	4	no	—
119	C₂×C₈×C₄₃	—	2	2	no	—
120	C₄⋊C₄×C₄₃	—	2	1	no	—
121	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
122	C₂²⋊C₄×C₄₃	—	2	2	no	—
123	C₂²⋊C₄×C₄₃	—	2	2	no	—
124	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₄₃	#41	1	1	yes	characteristic
127	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
128	C₄⋊Dic₄₃	—	2	2	no	—
129	C₄⋊Dic₄₃	—	2	2	no	—
130	C₄⋊Dic₄₃	—	4	1	no	—
131	C₄⋊Dic₄₃	—	4	1	no	—
132	#10621877	—	4	4	no	—
133	#10621877	—	4	2	no	—
134	C₂×C₄₃⋊C₈	—	2	2	no	—
135	C₂×C₄₃⋊C₈	—	2	2	no	—
136	C₂×C₄₃⋊C₈	—	2	2	no	—
137	C₂×C₄₃⋊C₈	—	2	2	no	—
138	C₂×C₄₃⋊C₈	—	4	4	no	—
139	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
141	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
142	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
143	C₂³×C₄₃	—	2	2	no	—
144	C₂³×C₄₃	—	4	2	no	—
145	C₂³×C₄₃	—	8	2	no	—
146	C₂³×C₄₃	—	8	2	no	—
147	C₂³×C₄₃	—	8	2	no	—
148	C₂³×C₄₃	#121	1	1	yes	characteristic
149	Q₈×C₄₃	—	4	2	no	—
150	D₄×C₄₃	—	2	4	no	—
151	D₄×C₄₃	—	4	4	no	—
152	D₄×C₄₃	—	4	2	no	—
153	D₄×C₄₃	—	4	2	no	—
154	D₄×C₄₃	—	4	4	no	—
155	D₄×C₄₃	—	4	2	no	—
156	D₄×C₄₃	—	4	2	no	—
157	D₄×C₄₃	—	8	2	no	—
158	D₄×C₄₃	—	8	2	no	—
159	D₄×C₄₃	—	8	2	no	—
160	D₄×C₄₃	—	8	2	no	—
161	C₂×C₄×C₄₃	—	2	2	no	—
162	C₂×C₄×C₄₃	—	2	2	no	—
163	C₂×C₄×C₄₃	—	2	2	no	—
164	C₂×C₄×C₄₃	—	4	2	no	—
165	C₂×C₄×C₄₃	—	4	2	no	—
166	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
167	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
168	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
169	C₂×C₄×C₄₃	#135	1	2	yes	—
170	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
171	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
173	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
174	C₂×Dic₄₃	—	4	2	no	—
175	C₂×Dic₄₃	—	8	2	no	—
176	Dic₈₆	—	8	2	no	—
177	Dic₈₆	—	8	2	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	—	4	2	no	—
184	C₄₃⋊C₈	—	4	2	no	—
185	#19196	—	43	1	no	maximal, Sylow
186	C₂²×C₄₃	—	2	1	no	—
187	C₂²×C₄₃	—	2	1	no	—
188	C₂²×C₄₃	—	4	2	no	—
189	C₂²×C₄₃	—	4	2	no	—
190	C₂²×C₄₃	—	4	2	no	—
191	C₂²×C₄₃	—	8	2	no	—
192	C₂²×C₄₃	—	8	2	no	—
193	C₂²×C₄₃	—	8	2	no	—
194	C₂²×C₄₃	—	16	4	no	—
195	C₂²×C₄₃	#463	1	2	yes	—
196	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
197	C₄×C₄₃	—	2	1	no	—
198	C₄×C₄₃	—	2	1	no	—
199	C₄×C₄₃	—	4	2	no	—
200	C₄×C₄₃	#463	1	2	yes	—
201	C₄×C₄₃	#472	1	2	yes	—
202	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
203	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
204	C₄×C₄₃	#577	1	2	yes	—
205	Dic₄₃	—	8	2	no	—
206	#3227	—	43	1	no	—
207	#3205	D₄₃	1	1	yes	characteristic
208	C₂×#486	—	43	1	no	—
209	#2931	—	43	1	no	—
210	#1697	—	43	4	no	—
211	#1677	—	43	4	no	—
212	#1564	—	43	1	no	—
213	#1548	—	43	1	no	—
214	#1545	—	43	1	no	—
215	C₂×C₄₃	—	2	2	no	—
216	C₂×C₄₃	—	8	2	no	—
217	C₂×C₄₃	—	16	2	no	—
218	C₂×C₄₃	C₂×#463	1	1	yes	characteristic
219	C₂×C₄₃	#3057	1	1	yes	characteristic
220	C₂×C₄₃	C₂×#472	1	1	yes	characteristic
221	C₂×#131	—	86	1	no	—
222	#532	C₂×D₄₃	1	1	yes	characteristic
223	C₂×C₄⋊Q₈	—	43	1	no	—
224	C₂×#127	C₂×D₄₃	1	1	yes	characteristic
225	#498	—	86	1	no	—
226	#493	—	2	1	no	—
227	#486	—	2	1	no	—
228	#486	—	43	2	no	—
229	#486	—	43	2	no	—
230	#486	—	86	1	no	—
231	#486	—	86	1	no	—
232	#486	—	86	1	no	—
233	#481	—	86	2	no	—
234	#476	—	43	4	no	—
235	#459	C₂×D₄₃	1	4	yes	—
236	#447	—	2	2	no	—
237	#436	—	43	2	no	—
238	#436	—	86	1	no	—
239	C₈×D₄	—	43	2	no	—
240	C₈×D₄	—	86	1	no	—
241	#431	—	43	1	no	—
242	#431	C₂×D₄₃	1	1	yes	characteristic
243	#423	—	43	1	no	—
244	C₂×#102	—	86	1	no	—
245	C₂×#102	—	86	1	no	—
246	#408	—	86	1	no	—
247	C₂×C₄×C₈	—	43	1	no	—
248	#335	—	43	2	no	—
249	#334	—	43	2	no	—
250	#333	—	43	4	no	—
251	#331	—	43	4	no	—
252	C₄₃	#19196	1	1	yes	characteristic, complemented, Sylow
253	C₂×#41	—	2	1	no	—
254	C₂²×Q₈	—	86	1	no	—
255	C₂²×D₄	—	2	1	no	—
256	C₂²×D₄	—	2	1	no	—
257	C₂²×D₄	—	2	1	no	—
258	C₂×D₈	—	2	4	no	—
259	#131	—	172	4	no	—
260	C₂×M₁₆	—	86	2	no	—
261	C₂×M₁₆	—	86	1	no	—
262	C₂²×C₈	—	43	1	no	—
263	C₂²×C₈	—	43	1	no	—
264	C₂²×C₈	—	86	2	no	—
265	C₄⋊Q₈	—	43	2	no	—
266	C₄⋊Q₈	—	86	1	no	—
267	C₄⋊Q₈	—	86	1	no	—
268	C₄⋊Q₈	—	86	1	no	—
269	C₄⋊Q₈	C₂²⋊D₄₃	1	1	yes	characteristic
270	#127	—	2	1	no	—
271	#127	—	2	1	no	—
272	#127	—	2	1	no	—
273	#127	C₂²⋊D₄₃	1	1	yes	characteristic
274	#127	C₂²×D₄₃	1	2	yes	—
275	#124	—	2	1	no	—
276	#121	—	2	1	no	—
277	#121	C₂²⋊D₄₃	1	2	yes	—
278	C₄×D₄	—	2	1	no	—
279	C₄×D₄	C₂²×D₄₃	1	2	yes	—
280	C₂×C₄⋊C₄	—	86	1	no	—
281	C₂×C₄⋊C₄	—	86	1	no	—
282	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
283	#106	—	86	4	no	—
284	C₄⋊C₈	—	43	2	no	—
285	C₄⋊C₈	—	43	2	no	—
286	C₄⋊C₈	—	86	1	no	—
287	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
288	#102	—	2	4	no	—
289	#102	—	86	2	no	—
290	#102	—	86	2	no	—
291	#102	—	86	2	no	—
292	#102	—	86	2	no	—
293	#102	—	86	4	no	—
294	C₂²⋊C₈	—	2	1	no	—
295	C₂²⋊C₈	—	86	2	no	—
296	C₂²⋊C₈	—	86	2	no	—
297	C₂²⋊C₈	—	86	1	no	—
298	C₄×C₈	—	2	1	no	—
299	C₄×C₈	—	43	1	no	—
300	C₄×C₈	—	43	1	no	—
301	C₄×C₈	—	43	1	no	—
302	C₄×C₈	—	43	1	no	—
303	C₄×C₈	—	86	1	no	—
304	C₂⁴	—	4	1	no	—
305	#41	—	4	2	no	—
306	#41	—	4	2	no	—
307	C₂×Q₈	—	2	1	no	—
308	C₂×Q₈	—	86	2	no	—
309	C₂×Q₈	—	344	2	no	—
310	C₂×Q₈	—	172	1	no	—
311	C₂×D₄	—	2	2	no	—
312	C₂×D₄	—	2	1	no	—
313	C₂×D₄	—	2	1	no	—
314	C₂×D₄	—	2	2	no	—
315	C₂×D₄	—	2	2	no	—
316	C₂×D₄	—	2	2	no	—
317	C₂×D₄	—	4	1	no	—
318	C₂×D₄	—	4	1	no	—
319	C₂×D₄	—	4	1	no	—
320	C₂×D₄	—	4	2	no	—
321	C₂×D₄	—	4	2	no	—
322	C₂×D₄	—	8	2	no	—
323	C₂×D₄	—	8	2	no	—
324	C₂×D₄	C₂×C₂²⋊D₄₃	1	2	yes	—
325	C₂²×C₄	—	2	2	no	—
326	C₂²×C₄	—	172	1	no	—
327	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
328	C₂²×C₄	#10621900	1	1	yes	characteristic
329	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
330	D₈	—	8	4	no	—
331	M₁₆	—	172	4	no	—
332	M₁₆	—	172	2	no	—
333	C₂×C₈	—	2	2	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	—	86	2	no	—
339	C₂×C₈	—	86	2	no	—
340	C₂×C₈	—	86	2	no	—
341	C₂×C₈	—	86	2	no	—
342	C₂×C₈	—	172	4	no	—
343	C₄⋊C₄	—	2	1	no	—
344	C₄⋊C₄	—	86	2	no	—
345	C₄⋊C₄	—	86	2	no	—
346	C₄⋊C₄	—	172	1	no	—
347	C₄⋊C₄	—	172	1	no	—
348	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
349	C₂²⋊C₄	—	2	2	no	—
350	C₂²⋊C₄	—	2	2	no	—
351	C₄²	D₄×D₄₃	1	1	yes	characteristic
352	C₄²	#10621900	1	1	yes	characteristic
353	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
354	C₄²	C₂³×D₄₃	1	1	yes	characteristic
355	C₂³	—	2	2	no	—
356	C₂³	—	4	2	no	—
357	C₂³	—	8	2	no	—
358	C₂³	—	8	2	no	—
359	C₂³	—	8	2	no	—
360	C₂³	#13063297	1	1	yes	characteristic
361	Q₈	—	4	2	no	—
362	Q₈	—	344	2	no	—
363	Q₈	—	344	2	no	—
364	D₄	—	2	4	no	—
365	D₄	—	4	4	no	—
366	D₄	—	4	2	no	—
367	D₄	—	4	2	no	—
368	D₄	—	4	2	no	—
369	D₄	—	4	2	no	—
370	D₄	—	4	4	no	—
371	D₄	—	8	2	no	—
372	D₄	—	8	2	no	—
373	D₄	—	8	2	no	—
374	D₄	—	8	2	no	—
375	C₂×C₄	—	2	2	no	—
376	C₂×C₄	—	2	2	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	4	2	no	—
379	C₂×C₄	—	4	2	no	—
380	C₂×C₄	—	344	2	no	—
381	C₂×C₄	—	172	2	no	—
382	C₂×C₄	#13063297	1	1	yes	characteristic
383	C₂×C₄	#13063297	1	1	yes	characteristic
384	C₂×C₄	#13063297	1	1	yes	characteristic
385	C₂×C₄	#13063344	1	2	yes	—
386	C₂×C₄	#13063349	1	2	yes	—
387	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
388	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
389	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
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	—	172	2	no	—
396	C₈	—	172	2	no	—
397	C₂²	—	2	1	no	—
398	C₂²	—	2	1	no	—
399	C₂²	—	4	2	no	—
400	C₂²	—	4	2	no	—
401	C₂²	—	4	2	no	—
402	C₂²	—	8	2	no	—
403	C₂²	—	8	2	no	—
404	C₂²	—	8	2	no	—
405	C₂²	—	16	4	no	—
406	C₂²	#14583112	1	2	yes	—
407	C₂²	C₂×#13063297	1	1	yes	characteristic
408	C₄	—	2	1	no	—
409	C₄	—	2	1	no	—
410	C₄	—	4	2	no	—
411	C₄	—	344	2	no	—
412	C₄	#14583112	1	2	yes	—
413	C₄	#14583167	1	2	yes	—
414	C₄	C₂×#13063344	1	1	yes	characteristic
415	C₄	C₂×#13063349	1	1	yes	characteristic
416	C₄	#14583710	1	2	yes	—
417	C₂	—	2	2	no	—
418	C₂	—	8	2	no	—
419	C₂	—	16	2	no	—
420	C₂	C₂×#14583112	1	1	yes	characteristic
421	C₂	#19144231	1	1	yes	characteristic
422	C₂	C₂×#14583167	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063297
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting, prime radical	C₄₃×#3205	C₂
socle	C₂²×C₄₃	C₂×#121
hypercenter	#3205	D₄₃
hypocenter	C₄₃	#19196
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3205

Complements

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

N	H ≅ G/N	type
1. #19145720	C₂	semidirect
2. C₂×#14583245	C₂	semidirect
3. #19143307	C₂	semidirect
4. #19134126	C₂	semidirect
5. #19134002	C₂	semidirect
6. #19133341	C₂	semidirect
7. #19133275	C₂	semidirect
8. #19133263	C₂	semidirect
19. #14583189	C₂²	semidirect
21. #14582977	C₂²	semidirect
23. D₄×C₄₃⋊C₈	C₂²	semidirect
30. #14582651	C₂²	semidirect
31. #14582649	C₂²	semidirect
32. #14582647	C₂²	semidirect
252. C₄₃	#19196	semidirect

Maximal subgroups

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

subgroup	index
#19145720	2
C₂×#14583245	2
#19143307	2
#19134126	2
#19134002	2
#19133341	2
#19133275	2
#19133263	2
C₄₃×#3205	2
#19196	43