Subgroups — #25013534

Order 11008.

626 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583136	C₂	1	1	yes	maximal, characteristic
2	C₂×#107×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14582701	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14582699	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×(C₂×D₄₃)⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
6	#19132686	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₃×#1380	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×D₃₄₄	C₂²	1	1	yes	characteristic
9	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
10	C₂×#13063300	—	2	1	no	—
11	C₂×C₄⋊C₄×D₄₃	—	2	1	no	—
12	C₂²×C₄₃⋊C₁₆	C₂²	1	1	yes	characteristic
13	#14583136	—	2	2	no	—
14	#14583136	C₄	1	4	yes	complemented
15	C₂×#13063259	C₂²	1	1	yes	characteristic
16	C₂×#13063258	—	2	1	no	—
17	#107×D₄₃	—	2	2	no	—
18	#107×D₄₃	—	2	2	no	—
19	C₂×#13063245	—	2	1	no	—
20	#14582701	—	2	2	no	—
21	#14582699	—	2	2	no	—
22	(C₂×D₄₃)⋊C₁₆	—	2	2	no	—
23	C₂²×C₁₆×C₄₃	C₂²	1	1	yes	characteristic
24	C₂×#107×C₄₃	C₂²	1	1	yes	characteristic
25	C₂×#107×C₄₃	C₂²	1	1	yes	characteristic
26	C₂²×D₁₇₂	—	2	1	no	—
27	C₂²×D₁₇₂	—	4	1	no	—
28	C₂²×C₄×D₄₃	—	4	1	no	—
29	C₂²×C₄×D₄₃	D₄	1	1	yes	characteristic
30	C₂×D₃₄₄	—	2	1	no	—
31	C₂×D₃₄₄	—	2	1	no	—
32	C₂×D₃₄₄	—	2	1	no	—
33	C₂×D₃₄₄	—	2	1	no	—
34	C₂×D₃₄₄	—	2	1	no	—
35	C₂×D₃₄₄	C₂×C₄	1	2	yes	complemented
36	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
37	C₂×C₈×D₄₃	—	2	1	no	—
38	C₂×C₈×D₄₃	—	2	1	no	—
39	C₂×C₈×D₄₃	—	2	1	no	—
40	C₂×C₈×D₄₃	—	2	1	no	—
41	C₂×C₈×D₄₃	C₂×C₄	1	2	yes	—
42	C₂×C₈×D₄₃	D₄	1	2	yes	—
43	#13063300	—	2	4	no	—
44	#13063300	—	4	2	no	—
45	C₂×C₄⋊Dic₄₃	—	2	1	no	—
46	C₂×Dic₄₃⋊C₄	—	4	1	no	—
47	C₄⋊C₄×D₄₃	—	2	4	no	—
48	C₄⋊C₄×D₄₃	—	4	2	no	—
49	C₂×(C₂×D₄₃)⋊C₄	—	4	1	no	—
50	C₂×C₄₃⋊C₁₆	—	2	1	no	—
51	C₂×C₄₃⋊C₁₆	—	2	1	no	—
52	C₂×C₄₃⋊C₁₆	—	2	1	no	—
53	#13063259	—	2	1	no	—
54	#13063259	D₄	1	2	yes	complemented
55	#13063258	—	2	4	no	—
56	#13063245	—	2	4	no	—
57	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
58	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
59	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
60	C₂×C₁₆×C₄₃	—	2	1	no	—
61	C₂×C₁₆×C₄₃	—	2	1	no	—
62	C₂×C₁₆×C₄₃	—	2	1	no	—
63	#107×C₄₃	—	2	1	no	—
64	#107×C₄₃	—	2	1	no	—
65	#107×C₄₃	C₂×C₄	1	2	yes	complemented
66	#107×C₄₃	D₄	1	2	yes	complemented
67	C₂³×D₄₃	—	4	1	no	—
68	C₂³×D₄₃	D₈	1	1	yes	characteristic
69	C₂²×C₄×C₄₃	—	4	1	no	—
70	C₂²×C₄×C₄₃	—	4	1	no	—
71	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
72	C₂²×Dic₄₃	—	4	1	no	—
73	C₂²×Dic₄₃	D₈	1	1	yes	characteristic
74	C₂×D₁₇₂	—	2	2	no	—
75	C₂×D₁₇₂	—	4	1	no	—
76	C₂×D₁₇₂	—	4	4	no	—
77	C₂×D₁₇₂	—	4	1	no	—
78	C₂×D₁₇₂	—	4	1	no	—
79	C₂×D₁₇₂	—	4	1	no	—
80	C₂×D₁₇₂	—	4	1	no	—
81	C₂×D₁₇₂	—	8	2	no	—
82	C₂×D₁₇₂	—	8	2	no	—
83	C₂×C₄×D₄₃	—	2	1	no	—
84	C₂×C₄×D₄₃	—	2	1	no	—
85	C₂×C₄×D₄₃	—	2	1	no	—
86	C₂×C₄×D₄₃	—	2	1	no	—
87	C₂×C₄×D₄₃	—	4	4	no	—
88	C₂×C₄×D₄₃	—	8	2	no	—
89	C₂×C₄×D₄₃	—	8	2	no	—
90	C₂×C₄×D₄₃	C₂²⋊C₄	1	2	yes	—
91	C₂×C₄×D₄₃	SD₁₆	1	2	yes	—
92	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
93	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
94	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
95	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
96	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
97	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
98	C₄⋊C₄×C₄₃	—	2	2	no	—
99	C₄⋊C₄×C₄₃	—	2	2	no	—
100	C₄⋊C₄×C₄₃	—	4	1	no	—
101	C₄⋊C₄×C₄₃	—	4	1	no	—
102	(C₂×D₄₃)⋊C₄	—	4	4	no	—
103	C₄⋊Dic₄₃	—	2	2	no	—
104	C₄⋊Dic₄₃	—	4	1	no	—
105	Dic₄₃⋊C₄	—	4	4	no	—
106	C₂×C₄₃⋊C₈	—	2	1	no	—
107	C₂×C₄₃⋊C₈	—	2	1	no	—
108	C₂×C₄₃⋊C₈	C₂²⋊C₄	1	2	yes	—
109	D₃₄₄	—	2	2	no	—
110	D₃₄₄	—	2	2	no	—
111	D₃₄₄	—	4	1	no	—
112	D₃₄₄	—	4	1	no	—
113	C₈×D₄₃	—	2	2	no	—
114	C₈×D₄₃	—	2	2	no	—
115	C₈×D₄₃	—	2	2	no	—
116	C₈×D₄₃	—	2	2	no	—
117	C₁₆×C₄₃	—	4	1	no	—
118	C₄₃⋊C₁₆	—	4	1	no	—
119	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
120	C₂²×D₄₃	—	2	1	no	—
121	C₂²×D₄₃	—	2	1	no	—
122	C₂²×D₄₃	—	2	1	no	—
123	C₂²×D₄₃	—	2	1	no	—
124	C₂²×D₄₃	—	4	2	no	—
125	C₂²×D₄₃	—	8	1	no	—
126	C₂²×D₄₃	—	8	1	no	—
127	C₂²×D₄₃	—	8	1	no	—
128	C₂²×D₄₃	—	8	1	no	—
129	C₂²×D₄₃	—	8	1	no	—
130	C₂²×D₄₃	—	8	1	no	—
131	C₂²×D₄₃	#102	1	2	yes	—
132	C₂²×D₄₃	D₁₆	1	2	yes	—
133	C₂²×D₄₃	SD₃₂	1	2	yes	—
134	C₂×C₄×C₄₃	—	4	2	no	—
135	C₂×C₄×C₄₃	—	4	2	no	—
136	C₂×C₄×C₄₃	—	8	1	no	—
137	C₂×C₄×C₄₃	—	8	1	no	—
138	C₂×C₄×C₄₃	—	8	1	no	—
139	C₂×C₄×C₄₃	—	8	1	no	—
140	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
141	C₂×C₄×C₄₃	#120	1	1	yes	characteristic
142	C₂×C₄×C₄₃	#123	1	1	yes	characteristic
143	C₂×C₄×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
144	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
145	C₂×C₄×C₄₃	#137	1	1	yes	characteristic
146	C₂×Dic₄₃	—	2	1	no	—
147	C₂×Dic₄₃	—	2	1	no	—
148	C₂×Dic₄₃	—	4	2	no	—
149	C₂×Dic₄₃	—	8	1	no	—
150	C₂×Dic₄₃	—	8	1	no	—
151	C₂×Dic₄₃	#102	1	2	yes	—
152	D₁₇₂	—	4	2	no	—
153	D₁₇₂	—	4	2	no	—
154	D₁₇₂	—	8	8	no	—
155	D₁₇₂	—	8	1	no	—
156	D₁₇₂	—	8	1	no	—
157	C₄×D₄₃	—	2	2	no	—
158	C₄×D₄₃	—	2	2	no	—
159	C₄×D₄₃	—	2	2	no	—
160	C₄×D₄₃	—	2	2	no	—
161	C₄×D₄₃	—	8	8	no	—
162	C₈×C₄₃	C₄×D₄	1	1	yes	characteristic
163	C₈×C₄₃	C₄×D₄	1	1	yes	characteristic
164	C₈×C₄₃	#121	1	1	yes	characteristic
165	C₈×C₄₃	#121	1	1	yes	characteristic
166	C₄₃⋊C₈	—	2	2	no	—
167	#12991	—	43	1	no	maximal, Sylow
168	C₂²×C₄₃	C₂×#102	1	1	yes	characteristic
169	C₂²×C₄₃	#447	1	1	yes	characteristic
170	C₂²×C₄₃	#480	1	1	yes	characteristic
171	C₂²×C₄₃	C₂×D₁₆	1	1	yes	characteristic
172	C₂²×C₄₃	C₂×SD₃₂	1	1	yes	characteristic
173	C₂²×C₄₃	#509	1	1	yes	characteristic
174	C₂²×C₄₃	#510	1	1	yes	characteristic
175	C₂×D₄₃	—	2	2	no	—
176	C₂×D₄₃	—	2	2	no	—
177	C₂×D₄₃	—	2	2	no	—
178	C₂×D₄₃	—	2	2	no	—
179	C₂×D₄₃	—	2	2	no	—
180	C₂×D₄₃	—	2	2	no	—
181	C₂×D₄₃	—	8	2	no	—
182	C₂×D₄₃	—	8	2	no	—
183	C₂×D₄₃	—	8	2	no	—
184	C₂×D₄₃	—	16	1	no	—
185	C₂×D₄₃	—	16	1	no	—
186	C₂×D₄₃	—	16	1	no	—
187	C₂×D₄₃	—	16	1	no	—
188	C₂×D₄₃	#357	1	4	yes	complemented
189	C₄×C₄₃	—	8	2	no	—
190	C₄×C₄₃	—	8	2	no	—
191	C₄×C₄₃	#386	1	1	yes	characteristic
192	C₄×C₄₃	#417	1	1	yes	characteristic
193	C₄×C₄₃	#448	1	1	yes	characteristic
194	C₄×C₄₃	#481	1	1	yes	characteristic
195	Dic₄₃	—	2	2	no	—
196	Dic₄₃	—	8	2	no	—
197	C₂×#466	—	43	1	no	—
198	C₂²×#107	—	43	1	no	—
199	C₂×#357	—	43	1	no	—
200	C₂×#357	—	43	1	no	—
201	C₂×C₂²⋊C₁₆	—	43	1	no	—
202	#1380	—	43	1	no	—
203	#1380	D₄₃	1	1	yes	characteristic, complemented
204	C₂×C₄₃	#1874	1	1	yes	characteristic
205	C₂×C₄₃	C₂×#357	1	1	yes	characteristic
206	C₂×C₄₃	#2139	1	1	yes	characteristic
207	C₂×C₄₃	#2184	1	1	yes	characteristic
208	C₂×C₄₃	#2185	1	1	yes	characteristic
209	C₂×C₄₃	#2232	1	1	yes	characteristic
210	C₂×C₄₃	#2233	1	1	yes	characteristic
211	D₄₃	—	2	4	no	—
212	D₄₃	—	16	2	no	—
213	C₂²×D₈	—	43	1	no	—
214	C₂³×C₈	—	43	1	no	—
215	C₂×#121	—	86	1	no	—
216	C₂²×C₄⋊C₄	—	86	1	no	—
217	C₂²×C₁₆	—	43	1	no	—
218	C₂²×C₁₆	C₂×D₄₃	1	1	yes	characteristic
219	#466	—	43	4	no	—
220	#466	—	86	2	no	—
221	C₂×#107	—	43	1	no	—
222	C₂×#107	—	86	2	no	—
223	C₂×#107	—	86	1	no	—
224	C₂×#107	—	86	2	no	—
225	C₂×#107	C₂×D₄₃	1	1	yes	characteristic
226	C₂×#107	C₂×D₄₃	1	1	yes	characteristic
227	C₂×#102	—	86	1	no	—
228	#357	—	86	2	no	—
229	#357	—	86	2	no	—
230	C₂²⋊C₁₆	—	86	2	no	—
231	C₄₃	#12991	1	1	yes	characteristic, complemented, Sylow
232	C₂²×D₄	—	86	1	no	—
233	C₂²×D₄	—	172	1	no	—
234	C₂³×C₄	—	43	1	no	—
235	C₂³×C₄	—	172	1	no	—
236	C₂×D₈	—	43	2	no	—
237	C₂×D₈	—	86	1	no	—
238	C₂×D₈	—	86	1	no	—
239	C₂×D₈	—	86	1	no	—
240	C₂×D₈	—	86	1	no	—
241	C₂×D₈	—	86	1	no	—
242	C₂²×C₈	—	43	1	no	—
243	C₂²×C₈	—	43	2	no	—
244	C₂²×C₈	—	43	2	no	—
245	C₂²×C₈	—	86	1	no	—
246	C₂²×C₈	—	86	1	no	—
247	C₂²×C₈	—	86	1	no	—
248	C₂²×C₈	—	86	1	no	—
249	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
250	#121	—	86	4	no	—
251	#121	—	172	2	no	—
252	C₂×C₄⋊C₄	—	2	1	no	—
253	C₂×C₄⋊C₄	—	2	1	no	—
254	C₂×C₄⋊C₄	—	86	4	no	—
255	C₂×C₄⋊C₄	—	86	1	no	—
256	C₂×C₄⋊C₄	—	172	2	no	—
257	C₂×C₄⋊C₄	—	172	1	no	—
258	C₂×C₂²⋊C₄	—	172	1	no	—
259	C₂×C₁₆	—	2	1	no	—
260	C₂×C₁₆	—	2	1	no	—
261	C₂×C₁₆	—	2	1	no	—
262	C₂×C₁₆	—	86	1	no	—
263	C₂×C₁₆	—	86	1	no	—
264	C₂×C₁₆	—	86	1	no	—
265	#107	—	2	1	no	—
266	#107	—	2	1	no	—
267	#107	—	43	2	no	—
268	#107	—	86	4	no	—
269	#107	—	86	1	no	—
270	#107	C₄×D₄₃	1	2	yes	complemented
271	#107	D₁₇₂	1	2	yes	complemented
272	#102	—	86	4	no	—
273	C₂⁴	—	43	1	no	—
274	C₂⁴	—	172	1	no	—
275	C₂×D₄	—	86	2	no	—
276	C₂×D₄	—	344	2	no	—
277	C₂×D₄	—	344	2	no	—
278	C₂×D₄	—	172	4	no	—
279	C₂×D₄	—	172	1	no	—
280	C₂×D₄	—	172	1	no	—
281	C₂×D₄	—	172	1	no	—
282	C₂×D₄	—	172	1	no	—
283	C₂×D₄	—	172	1	no	—
284	C₂²×C₄	—	4	1	no	—
285	C₂²×C₄	—	4	1	no	—
286	C₂²×C₄	—	43	1	no	—
287	C₂²×C₄	—	43	2	no	—
288	C₂²×C₄	—	43	2	no	—
289	C₂²×C₄	—	86	1	no	—
290	C₂²×C₄	—	86	1	no	—
291	C₂²×C₄	—	86	1	no	—
292	C₂²×C₄	—	86	1	no	—
293	C₂²×C₄	—	344	2	no	—
294	C₂²×C₄	—	344	2	no	—
295	C₂²×C₄	—	172	4	no	—
296	C₂²×C₄	—	172	1	no	—
297	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
298	D₈	—	86	2	no	—
299	D₈	—	86	2	no	—
300	D₈	—	172	1	no	—
301	D₈	—	172	1	no	—
302	C₂×C₈	—	43	2	no	—
303	C₂×C₈	—	86	1	no	—
304	C₂×C₈	—	86	1	no	—
305	C₂×C₈	—	86	2	no	—
306	C₂×C₈	—	86	2	no	—
307	C₂×C₈	—	86	2	no	—
308	C₂×C₈	—	86	2	no	—
309	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
310	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
311	C₂×C₈	#10621898	1	1	yes	characteristic
312	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
313	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
314	C₂×C₈	#10621902	1	1	yes	characteristic
315	C₄⋊C₄	—	2	2	no	—
316	C₄⋊C₄	—	2	2	no	—
317	C₄⋊C₄	—	4	1	no	—
318	C₄⋊C₄	—	4	1	no	—
319	C₄⋊C₄	—	86	2	no	—
320	C₄⋊C₄	—	172	4	no	—
321	C₄⋊C₄	—	172	1	no	—
322	C₂²⋊C₄	—	172	4	no	—
323	C₁₆	—	4	1	no	—
324	C₁₆	—	172	1	no	—
325	C₂³	—	43	2	no	—
326	C₂³	—	43	2	no	—
327	C₂³	—	43	2	no	—
328	C₂³	—	86	1	no	—
329	C₂³	—	86	1	no	—
330	C₂³	—	86	1	no	—
331	C₂³	—	86	1	no	—
332	C₂³	—	344	1	no	—
333	C₂³	—	344	1	no	—
334	C₂³	—	344	1	no	—
335	C₂³	—	344	1	no	—
336	C₂³	—	344	1	no	—
337	C₂³	—	344	1	no	—
338	C₂³	—	172	2	no	—
339	C₂³	D₈×D₄₃	1	1	yes	characteristic
340	D₄	—	344	8	no	—
341	D₄	—	344	1	no	—
342	D₄	—	344	1	no	—
343	D₄	—	172	2	no	—
344	D₄	—	172	2	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	8	1	no	—
348	C₂×C₄	—	8	1	no	—
349	C₂×C₄	—	8	1	no	—
350	C₂×C₄	—	8	1	no	—
351	C₂×C₄	—	43	2	no	—
352	C₂×C₄	—	86	1	no	—
353	C₂×C₄	—	86	1	no	—
354	C₂×C₄	—	86	2	no	—
355	C₂×C₄	—	86	2	no	—
356	C₂×C₄	—	86	2	no	—
357	C₂×C₄	—	86	2	no	—
358	C₂×C₄	—	344	8	no	—
359	C₂×C₄	—	344	1	no	—
360	C₂×C₄	—	344	1	no	—
361	C₂×C₄	—	172	2	no	—
362	C₂×C₄	C₂²⋊C₄×D₄₃	1	1	yes	characteristic
363	C₂×C₄	#13063295	1	1	yes	characteristic
364	C₂×C₄	#13063310	1	1	yes	characteristic
365	C₂×C₄	SD₁₆×D₄₃	1	1	yes	characteristic
366	C₂×C₄	#13063352	1	1	yes	characteristic
367	C₂×C₄	#13063357	1	1	yes	characteristic
368	C₈	—	86	2	no	—
369	C₈	#13063287	1	1	yes	characteristic
370	C₈	C₄×D₁₇₂	1	1	yes	characteristic
371	C₈	#13063298	1	1	yes	characteristic
372	C₈	#13063300	1	1	yes	characteristic
373	C₂²	—	43	4	no	—
374	C₂²	—	86	2	no	—
375	C₂²	—	86	2	no	—
376	C₂²	—	86	2	no	—
377	C₂²	—	86	2	no	—
378	C₂²	—	86	2	no	—
379	C₂²	—	86	2	no	—
380	C₂²	—	344	2	no	—
381	C₂²	—	344	2	no	—
382	C₂²	—	344	2	no	—
383	C₂²	—	688	1	no	—
384	C₂²	—	688	1	no	—
385	C₂²	—	688	1	no	—
386	C₂²	—	688	1	no	—
387	C₂²	#102×D₄₃	1	1	yes	characteristic
388	C₂²	#14583034	1	1	yes	characteristic
389	C₂²	#14583214	1	1	yes	characteristic
390	C₂²	D₁₆×D₄₃	1	1	yes	characteristic
391	C₂²	SD₃₂×D₄₃	1	1	yes	characteristic
392	C₂²	#14583336	1	1	yes	characteristic
393	C₂²	#14583341	1	1	yes	characteristic
394	C₄	—	8	2	no	—
395	C₄	—	8	2	no	—
396	C₄	—	86	2	no	—
397	C₄	—	344	2	no	—
398	C₄	#14582777	1	1	yes	characteristic
399	C₄	#14582899	1	1	yes	characteristic
400	C₄	#14583039	1	1	yes	characteristic
401	C₄	#14583219	1	1	yes	characteristic
402	C₂	—	86	4	no	—
403	C₂	—	688	2	no	—
404	C₂	#19134911	1	1	yes	characteristic
405	C₂	#357×D₄₃	1	1	yes	characteristic
406	C₂	#19136306	1	1	yes	characteristic
407	C₂	#19136508	1	1	yes	characteristic
408	C₂	#19136513	1	1	yes	characteristic
409	C₂	#19136777	1	1	yes	characteristic
410	C₂	#19136782	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	D₈×D₄₃
commutator	C₂×C₈×C₄₃	C₂²×C₄
Frattini	C₂²×C₈	C₂²×D₄₃
Fitting	C₄₃×#1380	C₂
socle	C₂³×C₄₃	C₂×D₈
prime radical	C₂×#14583136	C₂
cosocle	C₂²×C₈×C₄₃	C₂³
hypercenter	#1380	D₄₃
hypocenter	C₄₃	#12991
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ #1380

Complements

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

N	H ≅ G/N	type
2. C₂×#107×D₄₃	C₂	semidirect
3. C₂×#14582701	C₂	semidirect
4. C₂×#14582699	C₂	semidirect
5. C₂×(C₂×D₄₃)⋊C₁₆	C₂	semidirect
6. #19132686	C₂	semidirect
7. C₄₃×#1380	C₂	semidirect
14. #14583136	C₄	semidirect
35. C₂×D₃₄₄	C₂×C₄	semidirect
54. #13063259	D₄	semidirect
65. #107×C₄₃	C₂×C₄	semidirect
66. #107×C₄₃	D₄	semidirect
188. C₂×D₄₃	#357	semidirect
203. #1380	D₄₃	semidirect
231. C₄₃	#12991	semidirect
270. #107	C₄×D₄₃	semidirect
271. #107	D₁₇₂	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583136	2
C₂×#107×D₄₃	2
C₂×#14582701	2
C₂×#14582699	2
C₂×(C₂×D₄₃)⋊C₁₆	2
#19132686	2
C₄₃×#1380	2
#12991	43