Subgroups — #25251180

Order 11008.

656 conjugacy classes of subgroups.

The subgroup lattice has 436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583335	C₂	1	1	yes	maximal, characteristic, complemented
2	#19147698	C₂	1	1	yes	maximal, characteristic, complemented
3	#19144315	C₂	1	1	yes	maximal, characteristic, complemented
4	#19136723	C₂	1	4	yes	maximal, complemented
5	#19136713	C₂	1	4	yes	maximal, complemented
6	#19136389	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136342	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14582712	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₄₃×#472	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583697	—	2	1	no	—
11	C₂×#13063347	C₂²	1	1	yes	characteristic
12	#14583335	—	2	2	no	—
13	#14583335	—	2	2	no	—
14	C₂×#13063269	C₂²	1	2	yes	complemented
15	C₂×#13063266	C₂²	1	2	yes	complemented
16	#14583316	—	2	2	no	—
17	#14583316	C₂²	1	4	yes	complemented
18	C₂×#13063265	—	2	2	no	—
19	C₂×#13063265	C₂²	1	1	yes	characteristic
20	C₂×#13063265	C₂²	1	1	yes	characteristic
21	#14583174	C₂²	1	2	yes	complemented
22	#14583169	C₂²	1	2	yes	complemented
23	#14583162	—	2	2	no	—
24	C₂×#13063261	C₂²	1	1	yes	characteristic
25	#14582881	—	2	1	no	—
26	#14582728	C₂²	1	4	yes	complemented
27	#14582714	C₂²	1	2	yes	complemented
28	#14582712	C₂²	1	4	yes	complemented
29	#14582711	C₂²	1	2	yes	complemented
30	C₂×AGL(1,ℤ/8)×C₄₃	—	2	1	no	—
31	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
32	C₂×#131×C₄₃	C₂²	1	1	yes	characteristic
33	C₄₃×#472	—	2	2	no	—
34	C₄₃×#472	C₂²	1	4	yes	—
35	C₂×#108×C₄₃	C₂²	1	1	yes	characteristic
36	C₂×#100×C₄₃	—	2	1	no	—
37	C₂×#10621898	—	2	1	no	—
38	#13063356	—	4	1	no	—
39	#13063355	—	2	2	no	—
40	#13063351	—	4	1	no	—
41	#13063350	—	2	2	no	—
42	#13063347	—	2	1	no	—
43	#13063347	—	2	1	no	—
44	#13063347	—	2	1	no	—
45	#13063347	—	2	1	no	—
46	#13063345	—	4	2	no	—
47	C₂×Dic₁₇₂	C₂³	1	1	yes	characteristic
48	C₂×#10621873	—	2	1	no	—
49	C₂×D₃₄₄	C₂³	1	1	yes	characteristic
50	C₂×#10621877	—	2	1	no	—
51	#13063269	—	2	4	no	—
52	#13063266	—	2	4	no	—
53	#13063265	—	2	1	no	—
54	#13063265	—	2	4	no	—
55	#13063265	D₄	1	2	yes	—
56	#13063265	D₄	1	2	yes	—
57	#13063265	C₂³	1	2	yes	—
58	C₂×C₄₃⋊C₁₆	—	2	1	no	—
59	C₂×C₄₃⋊C₁₆	—	2	4	no	—
60	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
61	#13063261	—	2	1	no	—
62	#13063261	C₂³	1	2	yes	—
63	#13063243	—	2	2	no	—
64	#13063241	—	2	2	no	—
65	C₂×#41×C₄₃	D₄	1	1	yes	characteristic
66	C₂²×D₄×C₄₃	—	2	1	no	—
67	AGL(1,ℤ/8)×C₄₃	—	2	4	no	—
68	AGL(1,ℤ/8)×C₄₃	—	4	2	no	—
69	C₂×SD₁₆×C₄₃	—	4	1	no	—
70	C₂×D₈×C₄₃	—	2	1	no	—
71	C₂×D₈×C₄₃	—	2	1	no	—
72	C₂×D₈×C₄₃	—	2	1	no	—
73	C₂×D₈×C₄₃	—	2	1	no	—
74	C₂×D₈×C₄₃	—	2	1	no	—
75	C₂×D₈×C₄₃	—	4	1	no	—
76	C₂×D₈×C₄₃	C₂³	1	2	yes	—
77	#131×C₄₃	—	2	1	no	—
78	#131×C₄₃	—	2	1	no	—
79	#131×C₄₃	D₄	1	2	yes	—
80	#131×C₄₃	C₂³	1	2	yes	—
81	C₂×M₁₆×C₄₃	—	2	1	no	—
82	C₂×M₁₆×C₄₃	—	2	1	no	—
83	C₂×M₁₆×C₄₃	D₄	1	1	yes	characteristic
84	C₂²×C₈×C₄₃	—	2	1	no	—
85	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
86	#108×C₄₃	—	2	1	no	—
87	#108×C₄₃	C₂³	1	2	yes	—
88	#100×C₄₃	—	2	4	no	—
89	C₂⁴×C₄₃	—	4	1	no	—
90	#41×C₄₃	—	2	1	no	—
91	#41×C₄₃	—	2	1	no	—
92	#41×C₄₃	D₈	1	2	yes	—
93	#41×C₄₃	C₂×D₄	1	2	yes	—
94	C₂×Q₈×C₄₃	D₈	1	1	yes	characteristic
95	C₂×D₄×C₄₃	—	2	1	no	—
96	C₂×D₄×C₄₃	—	2	2	no	—
97	C₂×D₄×C₄₃	—	4	1	no	—
98	C₂×D₄×C₄₃	—	4	1	no	—
99	C₂×D₄×C₄₃	—	4	1	no	—
100	C₂×D₄×C₄₃	—	4	1	no	—
101	C₂×D₄×C₄₃	—	4	1	no	—
102	C₂×D₄×C₄₃	D₈	1	1	yes	characteristic
103	C₂²×C₄×C₄₃	—	2	1	no	—
104	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
105	C₂×C₂²⋊D₄₃	—	4	1	no	—
106	#10621898	—	4	1	no	—
107	#10621898	—	4	1	no	—
108	#10621898	—	4	1	no	—
109	#10621898	—	4	1	no	—
110	C₂×D₁₇₂	—	2	1	no	—
111	C₂×C₄×D₄₃	—	4	1	no	—
112	C₂×Dic₈₆	—	2	1	no	—
113	SD₁₆×C₄₃	—	4	4	no	—
114	D₈×C₄₃	—	2	2	no	—
115	D₈×C₄₃	—	2	2	no	—
116	D₈×C₄₃	—	4	4	no	—
117	D₈×C₄₃	—	4	1	no	—
118	D₈×C₄₃	—	4	1	no	—
119	M₁₆×C₄₃	—	2	1	no	—
120	M₁₆×C₄₃	—	2	2	no	—
121	M₁₆×C₄₃	—	2	2	no	—
122	M₁₆×C₄₃	—	2	2	no	—
123	M₁₆×C₄₃	—	4	1	no	—
124	M₁₆×C₄₃	C₂×D₄	1	2	yes	—
125	C₂×C₈×C₄₃	—	2	1	no	—
126	C₂×C₈×C₄₃	—	2	2	no	—
127	C₂×C₈×C₄₃	—	2	2	no	—
128	C₂×C₈×C₄₃	—	4	1	no	—
129	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
130	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
131	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
132	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
133	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
134	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
135	#10621885	—	4	2	no	—
136	#10621884	—	4	2	no	—
137	#10621883	—	4	2	no	—
138	#10621882	—	4	2	no	—
139	#10621877	—	2	2	no	—
140	#10621877	—	4	1	no	—
141	C₂×C₄₃⋊C₈	—	4	1	no	—
142	Dic₁₇₂	—	2	1	no	—
143	Dic₁₇₂	—	2	1	no	—
144	D₃₄₄	—	2	1	no	—
145	D₃₄₄	—	2	1	no	—
146	#10621873	—	4	1	no	—
147	#10621873	—	4	1	no	—
148	C₄₃⋊C₁₆	—	2	2	no	—
149	C₄₃⋊C₁₆	C₂×D₄	1	4	yes	—
150	C₂³×C₄₃	—	2	1	no	—
151	C₂³×C₄₃	—	4	2	no	—
152	C₂³×C₄₃	—	8	1	no	—
153	C₂³×C₄₃	—	8	1	no	—
154	C₂³×C₄₃	—	16	2	no	—
155	C₂³×C₄₃	#135	1	1	yes	characteristic
156	C₂²×D₄₃	—	4	1	no	—
157	Q₈×C₄₃	—	2	1	no	—
158	Q₈×C₄₃	C₂×D₈	1	2	yes	—
159	D₄×C₄₃	—	2	2	no	—
160	D₄×C₄₃	—	2	2	no	—
161	D₄×C₄₃	—	2	1	no	—
162	D₄×C₄₃	—	4	2	no	—
163	D₄×C₄₃	—	4	2	no	—
164	D₄×C₄₃	—	8	1	no	—
165	D₄×C₄₃	—	8	1	no	—
166	D₄×C₄₃	C₂×D₈	1	2	yes	—
167	C₂×C₄×C₄₃	—	2	1	no	—
168	C₂×C₄×C₄₃	—	2	2	no	—
169	C₂×C₄×C₄₃	—	2	2	no	—
170	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
171	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
172	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
173	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
174	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
175	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
176	C₂²⋊D₄₃	—	8	1	no	—
177	C₂²⋊D₄₃	—	8	1	no	—
178	C₂×Dic₄₃	—	4	1	no	—
179	D₁₇₂	—	4	1	no	—
180	D₁₇₂	—	4	1	no	—
181	C₄×D₄₃	—	8	1	no	—
182	C₄×D₄₃	—	8	1	no	—
183	Dic₈₆	—	4	1	no	—
184	Dic₈₆	—	4	1	no	—
185	C₈×C₄₃	—	2	2	no	—
186	C₈×C₄₃	—	4	2	no	—
187	C₈×C₄₃	#121	1	1	yes	characteristic
188	C₈×C₄₃	#121	1	1	yes	characteristic
189	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
190	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
191	C₄₃⋊C₈	—	4	2	no	—
192	#33618	—	43	1	no	maximal, Sylow
193	C₂²×C₄₃	—	2	2	no	—
194	C₂²×C₄₃	—	4	1	no	—
195	C₂²×C₄₃	—	8	1	no	—
196	C₂²×C₄₃	—	8	2	no	—
197	C₂²×C₄₃	—	16	2	no	—
198	C₂²×C₄₃	—	16	2	no	—
199	C₂²×C₄₃	—	16	2	no	—
200	C₂²×C₄₃	#466	1	1	yes	characteristic
201	C₂²×C₄₃	#466	1	1	yes	characteristic
202	C₂²×C₄₃	C₂×#135	1	1	yes	characteristic
203	C₂×D₄₃	—	8	1	no	—
204	C₂×D₄₃	—	16	1	no	—
205	C₄×C₄₃	—	2	2	no	—
206	C₄×C₄₃	#466	1	1	yes	characteristic
207	C₄×C₄₃	#466	1	1	yes	characteristic
208	C₄×C₄₃	C₂×#121	1	1	yes	characteristic
209	C₄×C₄₃	C₂²×D₈	1	1	yes	characteristic
210	Dic₄₃	—	8	1	no	—
211	C₂×#509	—	43	1	no	—
212	#3407	—	43	1	no	—
213	#3067	—	43	1	no	—
214	C₂×#472	D₄₃	1	1	yes	characteristic, complemented
215	#2223	—	43	4	no	—
216	#2221	—	43	4	no	—
217	#2161	—	43	1	no	—
218	#2148	—	43	1	no	—
219	C₂×#361	—	43	1	no	—
220	C₂×C₄₃	—	2	1	no	—
221	C₂×C₄₃	—	2	1	no	—
222	C₂×C₄₃	—	2	1	no	—
223	C₂×C₄₃	—	4	2	no	—
224	C₂×C₄₃	—	16	2	no	—
225	C₂×C₄₃	C₂×#466	1	1	yes	characteristic
226	D₄₃	—	16	1	no	—
227	#575	—	86	1	no	—
228	C₂×AGL(1,ℤ/8)	—	2	1	no	—
229	C₂×#135	—	43	1	no	—
230	C₂²×D₈	C₂×D₄₃	1	1	yes	characteristic
231	C₂×#131	C₂×D₄₃	1	1	yes	characteristic
232	#509	—	86	2	no	—
233	#509	—	86	2	no	—
234	C₂×SD₃₂	—	43	2	no	—
235	C₂×D₁₆	—	43	2	no	—
236	#504	—	43	4	no	—
237	#504	—	86	2	no	—
238	C₂×M₃₂	—	43	1	no	—
239	C₂×M₃₂	—	43	1	no	—
240	C₂×M₃₂	—	86	2	no	—
241	#473	—	43	2	no	—
242	#472	—	2	2	no	—
243	#472	—	43	2	no	—
244	#472	C₂×D₄₃	1	4	yes	—
245	#471	—	86	2	no	—
246	C₂×#108	—	43	1	no	—
247	C₂×#108	C₂×D₄₃	1	1	yes	characteristic
248	#413	—	86	1	no	—
249	C₂×#100	—	2	1	no	—
250	#368	—	43	4	no	—
251	#362	—	43	2	no	—
252	#361	—	43	4	no	—
253	#361	—	43	2	no	—
254	C₄₃	#33618	1	1	yes	characteristic, complemented, Sylow
255	C₂×#41	—	86	1	no	—
256	C₂×#41	C₂²⋊D₄₃	1	1	yes	characteristic
257	C₂²×D₄	—	2	1	no	—
258	#137	—	86	2	no	—
259	#137	—	172	1	no	—
260	AGL(1,ℤ/8)	—	2	4	no	—
261	AGL(1,ℤ/8)	—	4	2	no	—
262	AGL(1,ℤ/8)	—	86	2	no	—
263	AGL(1,ℤ/8)	—	172	1	no	—
264	#135	—	86	1	no	—
265	#135	—	86	1	no	—
266	#135	—	86	1	no	—
267	#135	—	86	1	no	—
268	#135	—	172	2	no	—
269	C₂×Q₁₆	—	43	1	no	—
270	C₂×SD₁₆	—	4	1	no	—
271	C₂×SD₁₆	—	86	1	no	—
272	C₂×D₈	—	2	1	no	—
273	C₂×D₈	—	2	1	no	—
274	C₂×D₈	—	2	1	no	—
275	C₂×D₈	—	2	1	no	—
276	C₂×D₈	—	2	1	no	—
277	C₂×D₈	—	4	1	no	—
278	C₂×D₈	—	43	1	no	—
279	C₂×D₈	C₂²×D₄₃	1	2	yes	—
280	#131	—	2	1	no	—
281	#131	—	2	1	no	—
282	#131	C₂²⋊D₄₃	1	2	yes	—
283	#131	C₂²×D₄₃	1	2	yes	—
284	C₂×M₁₆	—	2	1	no	—
285	C₂×M₁₆	—	2	1	no	—
286	C₂×M₁₆	—	86	1	no	—
287	C₂×M₁₆	C₂²⋊D₄₃	1	1	yes	characteristic
288	C₂²×C₈	—	2	1	no	—
289	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
290	SD₃₂	—	86	4	no	—
291	D₁₆	—	86	4	no	—
292	M₃₂	—	43	2	no	—
293	M₃₂	—	43	2	no	—
294	M₃₂	—	43	2	no	—
295	M₃₂	—	86	4	no	—
296	M₃₂	—	86	1	no	—
297	C₂×C₁₆	—	43	2	no	—
298	C₂×C₁₆	—	86	4	no	—
299	C₂×C₁₆	—	86	1	no	—
300	#108	—	2	1	no	—
301	#108	—	43	2	no	—
302	#108	—	86	1	no	—
303	#108	C₂²×D₄₃	1	2	yes	—
304	#101	—	86	2	no	—
305	#100	—	2	4	no	—
306	#100	—	86	2	no	—
307	C₂⁴	—	4	1	no	—
308	#41	—	2	1	no	—
309	#41	—	2	1	no	—
310	#41	—	172	1	no	—
311	#41	—	172	1	no	—
312	#41	—	172	1	no	—
313	#41	—	172	1	no	—
314	#41	#10621882	1	2	yes	—
315	#41	C₂×C₂²⋊D₄₃	1	2	yes	—
316	C₂×Q₈	—	86	1	no	—
317	C₂×Q₈	#10621882	1	1	yes	characteristic
318	C₂×D₄	—	2	1	no	—
319	C₂×D₄	—	2	2	no	—
320	C₂×D₄	—	4	1	no	—
321	C₂×D₄	—	4	1	no	—
322	C₂×D₄	—	4	1	no	—
323	C₂×D₄	—	4	1	no	—
324	C₂×D₄	—	4	1	no	—
325	C₂×D₄	—	86	1	no	—
326	C₂×D₄	—	172	1	no	—
327	C₂×D₄	#10621882	1	1	yes	characteristic
328	C₂²×C₄	—	2	1	no	—
329	C₂²×C₄	—	172	1	no	—
330	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
331	Q₁₆	—	86	1	no	—
332	Q₁₆	—	86	1	no	—
333	Q₁₆	—	172	2	no	—
334	SD₁₆	—	4	4	no	—
335	SD₁₆	—	172	2	no	—
336	SD₁₆	—	172	2	no	—
337	SD₁₆	—	172	1	no	—
338	SD₁₆	—	172	1	no	—
339	D₈	—	2	2	no	—
340	D₈	—	2	2	no	—
341	D₈	—	4	4	no	—
342	D₈	—	4	1	no	—
343	D₈	—	4	1	no	—
344	D₈	—	86	1	no	—
345	D₈	—	86	1	no	—
346	D₈	—	172	2	no	—
347	M₁₆	—	2	1	no	—
348	M₁₆	—	2	2	no	—
349	M₁₆	—	2	2	no	—
350	M₁₆	—	2	2	no	—
351	M₁₆	—	4	1	no	—
352	M₁₆	—	86	2	no	—
353	M₁₆	—	172	1	no	—
354	M₁₆	C₂×C₂²⋊D₄₃	1	2	yes	—
355	C₂×C₈	—	2	1	no	—
356	C₂×C₈	—	2	2	no	—
357	C₂×C₈	—	2	2	no	—
358	C₂×C₈	—	4	1	no	—
359	C₂×C₈	—	172	1	no	—
360	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
361	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
362	C₂×C₈	#10621900	1	1	yes	characteristic
363	C₂×C₈	#10621900	1	1	yes	characteristic
364	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
365	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
366	C₁₆	—	43	4	no	—
367	C₁₆	—	86	2	no	—
368	C₂³	—	2	1	no	—
369	C₂³	—	4	2	no	—
370	C₂³	—	8	1	no	—
371	C₂³	—	8	1	no	—
372	C₂³	—	16	2	no	—
373	C₂³	—	172	1	no	—
374	C₂³	#13063345	1	1	yes	characteristic
375	Q₈	—	2	1	no	—
376	Q₈	—	172	1	no	—
377	Q₈	—	172	1	no	—
378	Q₈	C₂×#10621882	1	2	yes	—
379	D₄	—	2	2	no	—
380	D₄	—	2	2	no	—
381	D₄	—	2	1	no	—
382	D₄	—	4	2	no	—
383	D₄	—	4	2	no	—
384	D₄	—	8	1	no	—
385	D₄	—	8	1	no	—
386	D₄	—	344	1	no	—
387	D₄	—	344	1	no	—
388	D₄	—	172	1	no	—
389	D₄	—	172	1	no	—
390	D₄	C₂×#10621882	1	2	yes	—
391	C₂×C₄	—	2	1	no	—
392	C₂×C₄	—	2	2	no	—
393	C₂×C₄	—	2	2	no	—
394	C₂×C₄	—	344	1	no	—
395	C₂×C₄	—	344	1	no	—
396	C₂×C₄	—	172	1	no	—
397	C₂×C₄	#13063297	1	1	yes	characteristic
398	C₂×C₄	#13063297	1	1	yes	characteristic
399	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
400	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
401	C₂×C₄	#13063345	1	1	yes	characteristic
402	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
403	C₈	—	2	2	no	—
404	C₈	—	4	2	no	—
405	C₈	—	172	2	no	—
406	C₈	#13063297	1	1	yes	characteristic
407	C₈	#13063297	1	1	yes	characteristic
408	C₈	C₂×D₄×D₄₃	1	1	yes	characteristic
409	C₈	C₂×#10621900	1	1	yes	characteristic
410	C₂²	—	2	2	no	—
411	C₂²	—	4	1	no	—
412	C₂²	—	8	1	no	—
413	C₂²	—	8	2	no	—
414	C₂²	—	16	2	no	—
415	C₂²	—	16	2	no	—
416	C₂²	—	16	2	no	—
417	C₂²	—	344	1	no	—
418	C₂²	—	688	1	no	—
419	C₂²	#14583133	1	1	yes	characteristic
420	C₂²	#14583133	1	1	yes	characteristic
421	C₂²	C₂×#13063345	1	1	yes	characteristic
422	C₄	—	2	2	no	—
423	C₄	—	344	1	no	—
424	C₄	#14583133	1	1	yes	characteristic
425	C₄	#14583133	1	1	yes	characteristic
426	C₄	C₂×#13063297	1	1	yes	characteristic
427	C₄	C₂²×#10621882	1	1	yes	characteristic
428	C₂	—	2	1	no	—
429	C₂	—	2	1	no	—
430	C₂	—	2	1	no	—
431	C₂	—	4	2	no	—
432	C₂	—	16	2	no	—
433	C₂	—	688	1	no	—
434	C₂	C₂×#14583133	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂×#14583133
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₂×C₄₃×#472	C₂
socle	C₂×C₄₃	C₂×#466
hypercenter	C₂×#472	D₄₃
hypocenter	C₄₃	#33618
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂ ◁ C₂²×C₄ ◁ C₂×#131 ◁ C₂×#472

Complements

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

N	H ≅ G/N	type
1. C₂×#14583335	C₂	semidirect
2. #19147698	C₂	semidirect
3. #19144315	C₂	semidirect
4. #19136723	C₂	semidirect
5. #19136713	C₂	semidirect
6. #19136389	C₂	semidirect
7. #19136342	C₂	semidirect
8. C₂×#14582712	C₂	semidirect
9. C₂×C₄₃×#472	C₂	semidirect
14. C₂×#13063269	C₂²	semidirect
15. C₂×#13063266	C₂²	semidirect
17. #14583316	C₂²	semidirect
21. #14583174	C₂²	semidirect
22. #14583169	C₂²	semidirect
26. #14582728	C₂²	semidirect
27. #14582714	C₂²	semidirect
28. #14582712	C₂²	semidirect
29. #14582711	C₂²	semidirect
214. C₂×#472	D₄₃	semidirect
254. C₄₃	#33618	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583335	2
#19147698	2
#19144315	2
#19136723	2
#19136713	2
#19136389	2
#19136342	2
C₂×#14582712	2
C₂×C₄₃×#472	2
#33618	43