Subgroups — #26010453

Order 11008.

10836 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583735	C₂	1	2	yes	maximal, complemented
2	#19149383	C₂	1	16	yes	maximal, complemented
3	#19149376	C₂	1	16	yes	maximal, complemented
4	#19149369	C₂	1	16	yes	maximal, complemented
5	C₂×#14583699	C₂	1	12	yes	maximal, complemented
6	C₂×C₄₃×#568	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583735	—	2	8	no	—
8	#14583735	—	2	8	no	—
9	#14583735	C₂²	1	16	yes	complemented
10	#14583735	C₂²	1	16	yes	complemented
11	C₂×#13063373	—	2	2	no	—
12	C₂×#13063372	C₂²	1	8	yes	complemented
13	C₂×#13063371	C₂²	1	8	yes	complemented
14	C₂×#13063370	—	2	6	no	—
15	C₂²×#10621898	C₂²	1	12	yes	complemented
16	C₂×#41×D₄₃	—	2	8	no	—
17	#14583716	C₂²	1	64	yes	complemented
18	#14583711	C₂²	1	128	yes	complemented
19	#14583704	C₂²	1	64	yes	complemented
20	#14583699	C₂²	1	16	yes	complemented
21	#14583699	C₂²	1	96	yes	complemented
22	#14583699	C₂²	1	48	yes	complemented
23	C₂×#13063358	C₂²	1	48	yes	complemented
24	C₂×#13063353	C₂²	1	48	yes	complemented
25	C₂×#13063347	C₂²	1	48	yes	complemented
26	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
27	C₄₃×#568	C₂²	1	16	yes	complemented
28	C₂×#131×C₄₃	C₂²	1	8	yes	complemented
29	C₂²×M₁₆×C₄₃	C₂²	1	6	yes	complemented
30	#13063373	—	2	16	no	—
31	#13063373	—	2	16	no	—
32	#13063372	—	2	32	no	—
33	#13063372	C₂³	1	64	yes	complemented
34	#13063371	—	2	32	no	—
35	#13063371	C₂³	1	64	yes	complemented
36	#13063370	—	2	48	no	—
37	#13063370	—	2	48	no	—
38	C₂×#10621902	—	2	8	no	—
39	C₂×#10621898	—	2	12	no	—
40	C₂×#10621898	—	2	12	no	—
41	C₂×#10621898	—	2	24	no	—
42	C₂×#10621898	—	2	24	no	—
43	C₂×#10621898	C₂³	1	48	yes	—
44	C₂×#10621898	C₂³	1	8	yes	—
45	C₂×#10621898	C₂³	1	48	yes	complemented
46	C₂×#10621898	C₂³	1	24	yes	complemented
47	C₂×#10621900	—	2	24	no	—
48	#41×D₄₃	—	2	64	no	—
49	#41×D₄₃	—	2	64	no	—
50	C₂²×Dic₈₆	C₂³	1	12	yes	complemented
51	C₂×Q₈×D₄₃	—	2	8	no	—
52	C₂²×D₁₇₂	C₂³	1	12	yes	complemented
53	C₂²×C₂²⋊D₄₃	—	2	12	no	—
54	C₂×D₄×D₄₃	—	2	24	no	—
55	C₂²×C₄×D₄₃	—	2	12	no	—
56	#13063358	C₂³	1	64	yes	complemented
57	#13063358	C₂³	1	192	yes	complemented
58	#13063353	C₂³	1	64	yes	complemented
59	#13063353	C₂³	1	192	yes	complemented
60	#13063347	C₂³	1	64	yes	complemented
61	#13063347	C₂³	1	192	yes	complemented
62	C₂×Dic₁₇₂	C₂³	1	48	yes	complemented
63	C₂×#10621873	C₂³	1	96	yes	complemented
64	C₂×D₃₄₄	C₂³	1	48	yes	complemented
65	C₂×#41×C₄₃	D₄	1	8	yes	—
66	C₂×#41×C₄₃	D₄	1	4	yes	—
67	C₂×#41×C₄₃	C₂³	1	4	yes	—
68	C₂×#41×C₄₃	C₂³	1	8	yes	—
69	C₂²×Q₈×C₄₃	D₄	1	1	yes	characteristic
70	C₂²×D₄×C₄₃	D₄	1	3	yes	—
71	C₂³×C₄×C₄₃	C₂³	1	3	yes	—
72	#131×C₄₃	C₂³	1	64	yes	complemented
73	C₂×M₁₆×C₄₃	C₂³	1	4	yes	—
74	C₂×M₁₆×C₄₃	C₂³	1	12	yes	complemented
75	C₂×M₁₆×C₄₃	C₂³	1	48	yes	complemented
76	C₂²×C₈×C₄₃	C₂³	1	12	yes	complemented
77	C₂⁴×C₄₃	C₂×D₄	1	3	yes	—
78	C₂³×D₄₃	—	2	12	no	—
79	#41×C₄₃	C₂×D₄	1	16	yes	—
80	#41×C₄₃	C₂×D₄	1	32	yes	—
81	#41×C₄₃	C₂⁴	1	16	yes	—
82	C₂×Q₈×C₄₃	C₂×D₄	1	8	yes	—
83	C₂×Q₈×C₄₃	C₂×D₄	1	4	yes	—
84	C₂×D₄×C₄₃	C₂×D₄	1	24	yes	—
85	C₂×D₄×C₄₃	C₂×D₄	1	12	yes	—
86	C₂²×C₄×C₄₃	C₂×D₄	1	3	yes	—
87	C₂²×C₄×C₄₃	C₂×D₄	1	12	yes	—
88	C₂²×C₄×C₄₃	C₂×D₄	1	6	yes	—
89	C₂²×C₄×C₄₃	C₂⁴	1	6	yes	—
90	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
91	C₂²×C₄×C₄₃	C₂⁴	1	12	yes	—
92	C₂×C₂²⋊D₄₃	—	2	24	no	—
93	C₂×C₂²⋊D₄₃	—	2	8	no	—
94	C₂×C₂²⋊D₄₃	—	2	48	no	—
95	C₂×C₂²⋊D₄₃	—	2	48	no	—
96	C₂²×Dic₄₃	—	2	12	no	—
97	#10621902	—	2	64	no	—
98	Q₈×D₄₃	—	2	64	no	—
99	#10621900	—	2	192	no	—
100	D₄×D₄₃	—	2	192	no	—
101	#10621898	—	2	48	no	—
102	#10621898	—	2	48	no	—
103	#10621898	—	2	8	no	—
104	#10621898	—	2	8	no	—
105	#10621898	—	2	48	no	—
106	#10621898	—	2	48	no	—
107	#10621898	—	2	48	no	—
108	#10621898	C₂⁴	1	16	yes	—
109	#10621898	C₂⁴	1	96	yes	—
110	#10621898	C₂⁴	1	16	yes	—
111	C₂×D₁₇₂	—	2	12	no	—
112	C₂×D₁₇₂	—	2	24	no	—
113	C₂×D₁₇₂	C₂⁴	1	48	yes	—
114	C₂×D₁₇₂	C₂⁴	1	8	yes	—
115	C₂×C₄×D₄₃	—	2	8	no	—
116	C₂×C₄×D₄₃	—	2	24	no	—
117	C₂×C₄×D₄₃	—	2	48	no	—
118	C₂×C₄×D₄₃	—	2	48	no	—
119	C₂×Dic₈₆	—	2	12	no	—
120	C₂×Dic₈₆	—	2	24	no	—
121	C₂×Dic₈₆	C₂⁴	1	48	yes	—
122	C₂×Dic₈₆	C₂⁴	1	8	yes	—
123	M₁₆×C₄₃	C₂⁴	1	16	yes	—
124	M₁₆×C₄₃	C₂⁴	1	48	yes	—
125	C₂×C₈×C₄₃	C₂⁴	1	8	yes	—
126	C₂×C₈×C₄₃	C₂⁴	1	48	yes	—
127	Dic₁₇₂	C₂⁴	1	64	yes	—
128	D₃₄₄	C₂⁴	1	64	yes	—
129	#10621873	C₂⁴	1	128	yes	—
130	C₂³×C₄₃	—	8	3	no	—
131	C₂³×C₄₃	C₂²×D₄	1	12	yes	—
132	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
133	C₂³×C₄₃	C₂²×D₄	1	6	yes	—
134	C₂²×D₄₃	—	2	8	no	—
135	C₂²×D₄₃	—	2	48	no	—
136	C₂²×D₄₃	—	8	24	no	—
137	Q₈×C₄₃	C₂²×D₄	1	16	yes	—
138	D₄×C₄₃	C₂²×D₄	1	48	yes	—
139	C₂×C₄×C₄₃	C₂²×D₄	1	12	yes	—
140	C₂×C₄×C₄₃	C₂²×D₄	1	24	yes	—
141	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
142	C₂×C₄×C₄₃	C₂²×D₄	1	12	yes	—
143	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
144	C₂×C₄×C₄₃	C₂²×D₄	1	6	yes	—
145	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
146	C₂×C₄×C₄₃	C₂⁵	1	12	yes	—
147	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
148	C₂²⋊D₄₃	—	2	16	no	—
149	C₂²⋊D₄₃	—	2	16	no	—
150	C₂²⋊D₄₃	—	2	96	no	—
151	C₂×Dic₄₃	—	2	8	no	—
152	C₂×Dic₄₃	—	2	48	no	—
153	D₁₇₂	—	2	8	no	—
154	D₁₇₂	—	2	48	no	—
155	D₁₇₂	C₂⁵	1	16	yes	—
156	C₄×D₄₃	—	2	16	no	—
157	C₄×D₄₃	—	2	16	no	—
158	C₄×D₄₃	—	2	96	no	—
159	Dic₈₆	—	2	8	no	—
160	Dic₈₆	—	2	48	no	—
161	Dic₈₆	C₂⁵	1	16	yes	—
162	C₈×C₄₃	C₂⁵	1	16	yes	—
163	#63090	—	43	1	no	maximal, Sylow
164	C₂²×C₄₃	—	4	12	no	—
165	C₂²×C₄₃	—	4	1	no	—
166	C₂²×C₄₃	—	4	6	no	—
167	C₂²×C₄₃	C₂³×D₄	1	2	yes	—
168	C₂²×C₄₃	C₂³×D₄	1	12	yes	—
169	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
170	C₂×D₄₃	—	2	16	no	—
171	C₂×D₄₃	—	4	16	no	—
172	C₂×D₄₃	—	8	48	no	—
173	C₄×C₄₃	C₂³×D₄	1	2	yes	—
174	C₄×C₄₃	C₂³×D₄	1	12	yes	—
175	C₄×C₄₃	C₂³×D₄	1	1	yes	characteristic
176	C₄×C₄₃	C₂⁶	1	1	yes	characteristic
177	Dic₄₃	—	2	16	no	—
178	C₂×#585	—	43	2	no	—
179	#3586	—	43	16	no	—
180	#3585	—	43	16	no	—
181	#3584	—	43	16	no	—
182	C₂×#575	—	43	12	no	—
183	C₂×#568	D₄₃	1	1	yes	characteristic, complemented
184	C₂×C₄₃	—	2	2	no	—
185	C₂×C₄₃	—	2	12	no	—
186	C₂×C₄₃	—	2	1	no	—
187	C₂×C₄₃	C₂⁴×D₄	1	1	yes	characteristic
188	D₄₃	—	4	16	no	—
189	#585	—	43	16	no	—
190	#585	—	43	16	no	—
191	#585	—	86	8	no	—
192	#585	—	86	8	no	—
193	C₂×2₋¹⁺⁴	—	43	8	no	—
194	C₂×2₋¹⁺⁴	—	86	2	no	—
195	C₂×H(5,𝔽₂)	—	43	8	no	—
196	C₂×H(5,𝔽₂)	—	86	6	no	—
197	C₂²×#41	—	43	12	no	—
198	C₂²×#41	—	86	8	no	—
199	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic
200	#578	—	43	64	no	—
201	#577	—	43	128	no	—
202	#576	—	43	64	no	—
203	#575	—	43	16	no	—
204	#575	—	43	48	no	—
205	#575	—	43	96	no	—
206	C₂×#137	—	43	48	no	—
207	C₂×AGL(1,ℤ/8)	—	43	48	no	—
208	C₂×#135	—	43	48	no	—
209	#568	C₂×D₄₃	1	16	yes	complemented
210	C₂×#131	C₂×D₄₃	1	8	yes	complemented
211	C₂²×M₁₆	C₂×D₄₃	1	6	yes	complemented
212	C₄₃	#63090	1	1	yes	characteristic, complemented, Sylow
213	2₋¹⁺⁴	—	43	64	no	—
214	2₋¹⁺⁴	—	86	32	no	—
215	2₋¹⁺⁴	—	86	16	no	—
216	2₋¹⁺⁴	—	86	16	no	—
217	H(5,𝔽₂)	—	43	64	no	—
218	H(5,𝔽₂)	—	86	32	no	—
219	H(5,𝔽₂)	—	86	48	no	—
220	H(5,𝔽₂)	—	86	48	no	—
221	C₂×#41	—	43	48	no	—
222	C₂×#41	—	43	48	no	—
223	C₂×#41	—	43	8	no	—
224	C₂×#41	—	43	24	no	—
225	C₂×#41	—	86	64	no	—
226	C₂×#41	—	86	64	no	—
227	C₂×#41	—	86	8	no	—
228	C₂×#41	—	86	24	no	—
229	C₂×#41	—	86	12	no	—
230	C₂×#41	—	86	12	no	—
231	C₂×#41	—	86	24	no	—
232	C₂×#41	—	86	24	no	—
233	C₂×#41	D₁₇₂	1	8	yes	—
234	C₂×#41	D₁₇₂	1	4	yes	—
235	C₂×#41	C₂²×D₄₃	1	4	yes	—
236	C₂×#41	C₂²×D₄₃	1	8	yes	—
237	C₂²×Q₈	—	43	12	no	—
238	C₂²×Q₈	—	86	8	no	—
239	C₂²×Q₈	D₁₇₂	1	1	yes	characteristic
240	C₂²×D₄	—	43	12	no	—
241	C₂²×D₄	—	86	12	no	—
242	C₂²×D₄	—	86	24	no	—
243	C₂²×D₄	D₁₇₂	1	3	yes	—
244	C₂³×C₄	—	86	12	no	—
245	C₂³×C₄	C₂²×D₄₃	1	3	yes	—
246	#137	—	43	64	no	—
247	#137	—	43	192	no	—
248	AGL(1,ℤ/8)	—	43	64	no	—
249	AGL(1,ℤ/8)	—	43	192	no	—
250	#135	—	43	64	no	—
251	#135	—	43	192	no	—
252	C₂×Q₁₆	—	43	48	no	—
253	C₂×SD₁₆	—	43	96	no	—
254	C₂×D₈	—	43	48	no	—
255	#131	C₂²×D₄₃	1	64	yes	complemented
256	C₂×M₁₆	C₂²×D₄₃	1	4	yes	—
257	C₂×M₁₆	C₂²×D₄₃	1	12	yes	complemented
258	C₂×M₁₆	C₂²×D₄₃	1	48	yes	complemented
259	C₂²×C₈	C₂²×D₄₃	1	12	yes	complemented
260	C₂⁴	—	86	12	no	—
261	C₂⁴	C₂×D₁₇₂	1	3	yes	—
262	#41	—	43	16	no	—
263	#41	—	43	96	no	—
264	#41	—	43	16	no	—
265	#41	—	86	64	no	—
266	#41	—	86	192	no	—
267	#41	—	86	48	no	—
268	#41	—	86	8	no	—
269	#41	—	86	8	no	—
270	#41	—	86	48	no	—
271	#41	—	86	48	no	—
272	#41	—	86	48	no	—
273	#41	—	86	48	no	—
274	#41	C₂×D₁₇₂	1	16	yes	—
275	#41	C₂×D₁₇₂	1	32	yes	—
276	#41	C₂³×D₄₃	1	16	yes	—
277	C₂×Q₈	—	43	48	no	—
278	C₂×Q₈	—	43	8	no	—
279	C₂×Q₈	—	86	64	no	—
280	C₂×Q₈	—	86	12	no	—
281	C₂×Q₈	—	86	24	no	—
282	C₂×Q₈	C₂×D₁₇₂	1	8	yes	—
283	C₂×Q₈	C₂×D₁₇₂	1	4	yes	—
284	C₂×D₄	—	43	48	no	—
285	C₂×D₄	—	43	8	no	—
286	C₂×D₄	—	86	24	no	—
287	C₂×D₄	—	86	8	no	—
288	C₂×D₄	—	86	48	no	—
289	C₂×D₄	—	86	48	no	—
290	C₂×D₄	—	86	192	no	—
291	C₂×D₄	—	86	12	no	—
292	C₂×D₄	—	86	24	no	—
293	C₂×D₄	C₂×D₁₇₂	1	24	yes	—
294	C₂×D₄	C₂×D₁₇₂	1	12	yes	—
295	C₂²×C₄	—	86	12	no	—
296	C₂²×C₄	—	86	8	no	—
297	C₂²×C₄	—	86	24	no	—
298	C₂²×C₄	—	86	48	no	—
299	C₂²×C₄	—	86	48	no	—
300	C₂²×C₄	C₂×D₁₇₂	1	12	yes	—
301	C₂²×C₄	C₂×D₁₇₂	1	3	yes	—
302	C₂²×C₄	C₂×D₁₇₂	1	6	yes	—
303	C₂²×C₄	C₂³×D₄₃	1	6	yes	—
304	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
305	C₂²×C₄	C₂³×D₄₃	1	12	yes	—
306	Q₁₆	—	43	64	no	—
307	SD₁₆	—	43	128	no	—
308	D₈	—	43	64	no	—
309	M₁₆	C₂³×D₄₃	1	16	yes	—
310	M₁₆	C₂³×D₄₃	1	48	yes	—
311	C₂×C₈	C₂³×D₄₃	1	8	yes	—
312	C₂×C₈	C₂³×D₄₃	1	48	yes	—
313	C₂³	—	8	3	no	—
314	C₂³	—	86	48	no	—
315	C₂³	—	86	8	no	—
316	C₂³	—	344	24	no	—
317	C₂³	C₂²×D₁₇₂	1	12	yes	—
318	C₂³	C₂²×D₁₇₂	1	1	yes	characteristic
319	C₂³	C₂²×D₁₇₂	1	6	yes	—
320	Q₈	—	43	16	no	—
321	Q₈	—	86	8	no	—
322	Q₈	—	86	48	no	—
323	Q₈	C₂²×D₁₇₂	1	16	yes	—
324	D₄	—	43	16	no	—
325	D₄	—	86	16	no	—
326	D₄	—	86	96	no	—
327	D₄	—	86	16	no	—
328	D₄	—	86	8	no	—
329	D₄	—	86	48	no	—
330	D₄	C₂²×D₁₇₂	1	48	yes	—
331	C₂×C₄	—	86	8	no	—
332	C₂×C₄	—	86	48	no	—
333	C₂×C₄	—	86	16	no	—
334	C₂×C₄	—	86	96	no	—
335	C₂×C₄	—	86	16	no	—
336	C₂×C₄	C₂²×D₁₇₂	1	12	yes	—
337	C₂×C₄	C₂²×D₁₇₂	1	24	yes	—
338	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
339	C₂×C₄	C₂²×D₁₇₂	1	6	yes	—
340	C₂×C₄	C₂²×D₁₇₂	1	2	yes	—
341	C₂×C₄	C₂²×D₁₇₂	1	12	yes	—
342	C₂×C₄	C₂⁴×D₄₃	1	12	yes	—
343	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
344	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
345	C₈	C₂⁴×D₄₃	1	16	yes	—
346	C₂²	—	4	1	no	—
347	C₂²	—	4	12	no	—
348	C₂²	—	4	6	no	—
349	C₂²	—	86	16	no	—
350	C₂²	—	344	48	no	—
351	C₂²	—	172	16	no	—
352	C₂²	C₂³×D₁₇₂	1	2	yes	—
353	C₂²	C₂³×D₁₇₂	1	12	yes	—
354	C₂²	C₂³×D₁₇₂	1	1	yes	characteristic
355	C₄	—	86	16	no	—
356	C₄	C₂³×D₁₇₂	1	2	yes	—
357	C₄	C₂³×D₁₇₂	1	12	yes	—
358	C₄	C₂³×D₁₇₂	1	1	yes	characteristic
359	C₄	C₂⁵×D₄₃	1	1	yes	characteristic
360	C₂	—	2	2	no	—
361	C₂	—	2	1	no	—
362	C₂	—	2	12	no	—
363	C₂	—	172	16	no	—
364	C₂	C₂⁴×D₁₇₂	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂³×D₁₇₂
commutator, cosocle	C₄×C₄₃	C₂⁶
Frattini	C₄	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#568	C₂
socle	C₂×C₄₃	C₂⁴×D₄
hypercenter	C₂×#568	D₄₃
hypocenter	C₄₃	#63090
LCS	G ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₄ ◁ C₂²×#41 ◁ C₂×#568

Complements

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

N	H ≅ G/N	type
1. C₂×#14583735	C₂	semidirect
2. #19149383	C₂	semidirect
3. #19149376	C₂	semidirect
4. #19149369	C₂	semidirect
5. C₂×#14583699	C₂	semidirect
6. C₂×C₄₃×#568	C₂	semidirect
9. #14583735	C₂²	semidirect
10. #14583735	C₂²	semidirect
12. C₂×#13063372	C₂²	semidirect
13. C₂×#13063371	C₂²	semidirect
15. C₂²×#10621898	C₂²	semidirect
17. #14583716	C₂²	semidirect
18. #14583711	C₂²	semidirect
19. #14583704	C₂²	semidirect
20. #14583699	C₂²	semidirect
21. #14583699	C₂²	semidirect
22. #14583699	C₂²	semidirect
23. C₂×#13063358	C₂²	semidirect
24. C₂×#13063353	C₂²	semidirect
25. C₂×#13063347	C₂²	semidirect
27. C₄₃×#568	C₂²	semidirect
28. C₂×#131×C₄₃	C₂²	semidirect
29. C₂²×M₁₆×C₄₃	C₂²	semidirect
33. #13063372	C₂³	semidirect
35. #13063371	C₂³	semidirect
45. C₂×#10621898	C₂³	semidirect
46. C₂×#10621898	C₂³	semidirect
50. C₂²×Dic₈₆	C₂³	semidirect
52. C₂²×D₁₇₂	C₂³	semidirect
56. #13063358	C₂³	semidirect
57. #13063358	C₂³	semidirect
58. #13063353	C₂³	semidirect
59. #13063353	C₂³	semidirect
60. #13063347	C₂³	semidirect
61. #13063347	C₂³	semidirect
62. C₂×Dic₁₇₂	C₂³	semidirect
63. C₂×#10621873	C₂³	semidirect
64. C₂×D₃₄₄	C₂³	semidirect
72. #131×C₄₃	C₂³	semidirect
74. C₂×M₁₆×C₄₃	C₂³	semidirect
75. C₂×M₁₆×C₄₃	C₂³	semidirect
76. C₂²×C₈×C₄₃	C₂³	semidirect
183. C₂×#568	D₄₃	semidirect
209. #568	C₂×D₄₃	semidirect
210. C₂×#131	C₂×D₄₃	semidirect
211. C₂²×M₁₆	C₂×D₄₃	semidirect
212. C₄₃	#63090	semidirect
255. #131	C₂²×D₄₃	semidirect
257. C₂×M₁₆	C₂²×D₄₃	semidirect
258. C₂×M₁₆	C₂²×D₄₃	semidirect
259. C₂²×C₈	C₂²×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583735	2
#19149383	2
#19149376	2
#19149369	2
C₂×#14583699	2
C₂×C₄₃×#568	2
#63090	43