Subgroups — #25251398

Order 11008.

590 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	#19144176	C₂	1	1	yes	maximal, characteristic
2	C₂×#14582937	C₂	1	1	yes	maximal, characteristic, complemented
3	#19136804	C₂	1	2	yes	maximal, complemented
4	#19136798	C₂	1	1	yes	maximal, characteristic, complemented
5	#19136793	C₂	1	1	yes	maximal, characteristic, complemented
6	#19136787	C₂	1	2	yes	maximal, complemented
7	#19136781	C₂	1	1	yes	maximal, characteristic, complemented
8	#19136776	C₂	1	1	yes	maximal, characteristic, complemented
9	#19136379	C₂	1	2	yes	maximal, complemented
10	#19136303	C₂	1	2	yes	maximal, complemented
11	C₂×C₄₃×C₂²⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13063347	C₂²	1	1	yes	characteristic
13	#14583410	—	2	1	no	—
14	C₂×#13063284	—	2	1	no	—
15	#14583140	C₂²	1	1	yes	characteristic
16	#14583140	C₂²	1	1	yes	characteristic
17	#14583135	C₂²	1	1	yes	characteristic
18	#14583135	C₂²	1	1	yes	characteristic
19	#14583128	—	2	1	no	—
20	#14583128	—	2	1	no	—
21	#14582937	—	2	1	no	—
22	#14582937	—	2	1	no	—
23	#14582937	C₂²	1	2	yes	—
24	#14582937	C₂²	1	2	yes	—
25	#14582937	C₂²	1	1	yes	characteristic
26	C₂×#13063259	C₂²	1	1	yes	characteristic
27	C₂×#13063259	C₂²	1	1	yes	characteristic
28	C₂×#13063257	—	2	1	no	—
29	#14582896	—	2	1	no	—
30	#14582727	C₂²	1	2	yes	complemented
31	#14582727	C₂²	1	2	yes	complemented
32	#14582725	C₂²	1	2	yes	complemented
33	#14582725	C₂²	1	2	yes	complemented
34	#14582704	C₂²	1	2	yes	complemented
35	#14582704	C₂²	1	2	yes	complemented
36	#14582701	C₂²	1	2	yes	complemented
37	#14582701	C₂²	1	2	yes	complemented
38	C₂³×C₈×C₄₃	C₂²	1	1	yes	characteristic
39	C₂²×C₁₆×C₄₃	C₂²	1	2	yes	—
40	C₄₃×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
41	C₄₃×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
42	C₄₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
43	C₂×#10621898	—	2	1	no	—
44	#13063347	—	2	4	no	—
45	C₂×Dic₁₇₂	C₂³	1	1	yes	characteristic
46	C₂×#10621873	—	2	1	no	—
47	C₂×D₃₄₄	C₂³	1	1	yes	characteristic
48	#13063308	—	4	1	no	—
49	#13063304	—	2	1	no	—
50	#13063304	—	2	1	no	—
51	#13063299	—	2	1	no	—
52	#13063299	—	2	1	no	—
53	#13063294	—	4	1	no	—
54	C₄×C₂²⋊D₄₃	—	4	1	no	—
55	C₄×C₂²⋊D₄₃	—	4	1	no	—
56	#13063284	—	2	2	no	—
57	#13063284	—	2	2	no	—
58	#13063284	—	2	1	no	—
59	#13063284	—	4	1	no	—
60	#13063284	—	4	1	no	—
61	C₂×C₄⋊Dic₄₃	—	2	1	no	—
62	C₂×C₄⋊Dic₄₃	—	2	1	no	—
63	C₂×C₂²⋊Dic₄₃	—	4	1	no	—
64	C₂×C₄×Dic₄₃	—	4	1	no	—
65	#13063259	—	2	1	no	—
66	#13063259	—	2	1	no	—
67	#13063259	C₂³	1	1	yes	characteristic
68	#13063259	C₂³	1	1	yes	characteristic
69	#13063259	C₂³	1	2	yes	—
70	#13063259	C₂³	1	2	yes	—
71	#13063257	—	2	1	no	—
72	#13063257	—	2	2	no	—
73	#13063257	—	2	2	no	—
74	#13063250	—	2	1	no	—
75	#13063250	—	2	1	no	—
76	#13063247	—	2	1	no	—
77	#13063247	—	2	1	no	—
78	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
79	C₂²×C₈×C₄₃	—	2	4	no	—
80	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
81	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
82	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
83	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
84	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
85	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
86	C₂×C₁₆×C₄₃	—	2	4	no	—
87	C₂×C₁₆×C₄₃	C₂³	1	2	yes	—
88	C₂×C₁₆×C₄₃	C₂³	1	2	yes	—
89	C₂⁴×C₄₃	D₈	1	1	yes	characteristic
90	C₂²×C₄×C₄₃	—	2	2	no	—
91	C₂²×C₄×C₄₃	—	2	2	no	—
92	C₂²×C₄×C₄₃	D₈	1	1	yes	characteristic
93	C₂²×C₄×C₄₃	D₈	1	1	yes	characteristic
94	C₂²×C₄×C₄₃	D₈	1	1	yes	characteristic
95	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
98	C₂×C₂²⋊D₄₃	—	4	1	no	—
99	C₂×C₂²⋊D₄₃	—	4	1	no	—
100	C₂×C₂²⋊D₄₃	—	4	1	no	—
101	C₂²×Dic₄₃	—	4	1	no	—
102	C₂²×Dic₄₃	—	4	1	no	—
103	#10621898	—	4	2	no	—
104	#10621898	—	4	2	no	—
105	C₂×D₁₇₂	—	2	1	no	—
106	C₂×C₄×D₄₃	—	4	1	no	—
107	C₂×Dic₈₆	—	2	1	no	—
108	C₂×C₈×C₄₃	—	2	2	no	—
109	C₂×C₈×C₄₃	—	2	2	no	—
110	C₂×C₈×C₄₃	—	2	2	no	—
111	C₂×C₈×C₄₃	—	2	2	no	—
112	C₂×C₈×C₄₃	—	2	2	no	—
113	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
114	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
115	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
116	C₂×C₈×C₄₃	#41	1	4	yes	—
117	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
118	C₂²⋊Dic₄₃	—	4	2	no	—
119	C₂²⋊Dic₄₃	—	4	2	no	—
120	C₂²⋊Dic₄₃	—	4	1	no	—
121	C₂²⋊Dic₄₃	—	4	1	no	—
122	C₂²⋊Dic₄₃	—	4	1	no	—
123	(C₂×D₄₃)⋊C₄	—	4	1	no	—
124	(C₂×D₄₃)⋊C₄	—	4	1	no	—
125	C₄⋊Dic₄₃	—	2	1	no	—
126	C₄⋊Dic₄₃	—	2	1	no	—
127	C₄⋊Dic₄₃	—	2	2	no	—
128	C₄⋊Dic₄₃	—	2	2	no	—
129	C₄⋊Dic₄₃	—	4	1	no	—
130	C₄⋊Dic₄₃	—	4	1	no	—
131	Dic₄₃⋊C₄	—	4	1	no	—
132	Dic₄₃⋊C₄	—	4	1	no	—
133	C₄×Dic₄₃	—	4	2	no	—
134	C₄×Dic₄₃	—	4	2	no	—
135	C₄×Dic₄₃	—	4	1	no	—
136	Dic₁₇₂	—	2	2	no	—
137	D₃₄₄	—	2	2	no	—
138	#10621873	—	4	2	no	—
139	C₁₆×C₄₃	—	2	2	no	—
140	C₁₆×C₄₃	—	2	2	no	—
141	C₂³×C₄₃	—	2	2	no	—
142	C₂³×C₄₃	—	2	2	no	—
143	C₂³×C₄₃	—	4	1	no	—
144	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
145	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
146	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
147	C₂²×D₄₃	—	4	1	no	—
148	C₂×C₄×C₄₃	—	2	2	no	—
149	C₂×C₄×C₄₃	—	2	1	no	—
150	C₂×C₄×C₄₃	—	2	1	no	—
151	C₂×C₄×C₄₃	—	2	1	no	—
152	C₂×C₄×C₄₃	—	2	1	no	—
153	C₂×C₄×C₄₃	—	2	2	no	—
154	C₂×C₄×C₄₃	—	2	2	no	—
155	C₂×C₄×C₄₃	#123	1	2	yes	—
156	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
157	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
158	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
159	C₂×C₄×C₄₃	#137	1	2	yes	—
160	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
161	C₂²⋊D₄₃	—	8	2	no	—
162	C₂²⋊D₄₃	—	8	2	no	—
163	C₂²⋊D₄₃	—	8	2	no	—
164	C₂×Dic₄₃	—	4	2	no	—
165	C₂×Dic₄₃	—	4	2	no	—
166	C₂×Dic₄₃	—	4	1	no	—
167	C₂×Dic₄₃	—	4	1	no	—
168	C₂×Dic₄₃	—	4	1	no	—
169	C₂×Dic₄₃	—	8	2	no	—
170	C₂×Dic₄₃	—	8	2	no	—
171	D₁₇₂	—	4	1	no	—
172	D₁₇₂	—	4	1	no	—
173	C₄×D₄₃	—	8	2	no	—
174	Dic₈₆	—	4	1	no	—
175	Dic₈₆	—	4	1	no	—
176	C₈×C₄₃	—	2	1	no	—
177	C₈×C₄₃	—	2	1	no	—
178	C₈×C₄₃	#123	1	2	yes	—
179	C₈×C₄₃	C₂×#41	1	2	yes	—
180	#33645	—	43	1	no	maximal, Sylow
181	C₂²×C₄₃	—	2	1	no	—
182	C₂²×C₄₃	—	2	1	no	—
183	C₂²×C₄₃	—	2	1	no	—
184	C₂²×C₄₃	—	2	1	no	—
185	C₂²×C₄₃	—	2	1	no	—
186	C₂²×C₄₃	—	2	1	no	—
187	C₂²×C₄₃	—	2	1	no	—
188	C₂²×C₄₃	—	4	4	no	—
189	C₂²×C₄₃	#480	1	2	yes	—
190	C₂²×C₄₃	#508	1	2	yes	—
191	C₂²×C₄₃	C₂²×D₈	1	1	yes	characteristic
192	C₂×D₄₃	—	8	1	no	—
193	C₂×D₄₃	—	8	1	no	—
194	C₂×D₄₃	—	8	1	no	—
195	C₄×C₄₃	—	2	1	no	—
196	C₄×C₄₃	—	2	1	no	—
197	C₄×C₄₃	#480	1	2	yes	—
198	C₄×C₄₃	C₂×#123	1	1	yes	characteristic
199	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
200	Dic₄₃	—	8	1	no	—
201	Dic₄₃	—	8	2	no	—
202	Dic₄₃	—	8	1	no	—
203	Dic₄₃	—	8	2	no	—
204	Dic₄₃	—	8	1	no	—
205	#3050	—	43	1	no	—
206	C₂×#427	—	43	1	no	—
207	#2237	—	43	2	no	—
208	#2236	—	43	1	no	—
209	#2235	—	43	1	no	—
210	#2234	—	43	2	no	—
211	#2233	—	43	1	no	—
212	#2232	—	43	1	no	—
213	#2158	—	43	2	no	—
214	#2138	—	43	2	no	—
215	C₂×C₂²⋊C₁₆	D₄₃	1	1	yes	characteristic, complemented
216	C₂×C₄₃	—	2	2	no	—
217	C₂×C₄₃	—	2	2	no	—
218	C₂×C₄₃	—	4	1	no	—
219	C₂×C₄₃	C₂×#480	1	1	yes	characteristic
220	C₂×C₄₃	C₂×#508	1	1	yes	characteristic
221	C₂×C₄₃	#3414	1	1	yes	characteristic
222	D₄₃	—	16	1	no	—
223	C₂×#135	—	43	1	no	—
224	C₂³×C₈	C₂×D₄₃	1	1	yes	characteristic
225	#525	—	86	1	no	—
226	C₂×#117	—	86	1	no	—
227	C₂²×C₁₆	C₂×D₄₃	1	2	yes	—
228	#467	—	43	1	no	—
229	#467	—	43	1	no	—
230	#466	—	43	1	no	—
231	#466	—	43	1	no	—
232	#465	—	86	1	no	—
233	#465	—	86	1	no	—
234	#427	—	43	2	no	—
235	#427	—	43	2	no	—
236	#427	—	43	1	no	—
237	#427	—	86	1	no	—
238	#427	—	86	1	no	—
239	C₂×#107	—	43	1	no	—
240	C₂×#107	—	43	1	no	—
241	C₂×#106	—	86	1	no	—
242	#416	—	86	1	no	—
243	#367	—	43	2	no	—
244	#367	—	43	2	no	—
245	#366	—	43	2	no	—
246	#366	—	43	2	no	—
247	#358	—	43	2	no	—
248	#358	—	43	2	no	—
249	#357	—	43	2	no	—
250	#357	—	43	2	no	—
251	C₂²⋊C₁₆	C₂×D₄₃	1	1	yes	characteristic
252	C₂²⋊C₁₆	C₂×D₄₃	1	1	yes	characteristic
253	C₂²⋊C₁₆	C₂×D₄₃	1	2	yes	—
254	C₄₃	#33645	1	1	yes	characteristic, complemented, Sylow
255	C₂×#41	—	86	1	no	—
256	C₂³×C₄	D₁₇₂	1	1	yes	characteristic
257	#135	—	86	4	no	—
258	C₂×Q₁₆	—	43	1	no	—
259	C₂×SD₁₆	—	86	1	no	—
260	C₂×D₈	—	43	1	no	—
261	C₂²×C₈	—	2	4	no	—
262	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
263	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
264	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
265	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
266	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
267	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
268	#123	—	172	1	no	—
269	C₂²⋊Q₈	—	86	1	no	—
270	C₂²⋊Q₈	—	86	1	no	—
271	#121	—	86	1	no	—
272	#121	—	86	1	no	—
273	#120	—	172	1	no	—
274	C₄×D₄	—	172	1	no	—
275	C₄×D₄	—	172	1	no	—
276	#117	—	86	2	no	—
277	#117	—	86	2	no	—
278	#117	—	86	1	no	—
279	#117	—	172	1	no	—
280	#117	—	172	1	no	—
281	C₂×C₄⋊C₄	—	86	1	no	—
282	C₂×C₄⋊C₄	—	86	1	no	—
283	C₂×C₂²⋊C₄	—	172	1	no	—
284	C₂×C₄²	—	172	1	no	—
285	C₂×C₁₆	—	2	4	no	—
286	C₂×C₁₆	C₂²×D₄₃	1	2	yes	—
287	C₂×C₁₆	C₂²×D₄₃	1	2	yes	—
288	#107	—	43	2	no	—
289	#107	—	43	2	no	—
290	#107	—	43	1	no	—
291	#107	—	43	1	no	—
292	#107	—	86	1	no	—
293	#107	—	86	1	no	—
294	#106	—	86	2	no	—
295	#106	—	86	2	no	—
296	#106	—	86	1	no	—
297	#103	—	86	1	no	—
298	#103	—	86	1	no	—
299	#102	—	86	1	no	—
300	#102	—	86	1	no	—
301	C₂⁴	D₃₄₄	1	1	yes	characteristic
302	#41	—	172	2	no	—
303	#41	—	172	2	no	—
304	C₂×Q₈	—	86	1	no	—
305	C₂×D₄	—	86	1	no	—
306	C₂×D₄	—	172	1	no	—
307	C₂×D₄	—	172	1	no	—
308	C₂×D₄	—	172	1	no	—
309	C₂²×C₄	—	2	2	no	—
310	C₂²×C₄	—	2	2	no	—
311	C₂²×C₄	—	172	1	no	—
312	C₂²×C₄	—	172	1	no	—
313	C₂²×C₄	—	172	1	no	—
314	C₂²×C₄	D₃₄₄	1	1	yes	characteristic
315	C₂²×C₄	D₃₄₄	1	1	yes	characteristic
316	C₂²×C₄	D₃₄₄	1	1	yes	characteristic
317	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
318	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
319	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
320	Q₁₆	—	86	2	no	—
321	SD₁₆	—	172	2	no	—
322	D₈	—	86	2	no	—
323	C₂×C₈	—	2	2	no	—
324	C₂×C₈	—	2	2	no	—
325	C₂×C₈	—	2	2	no	—
326	C₂×C₈	—	2	2	no	—
327	C₂×C₈	—	2	2	no	—
328	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
329	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
330	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
331	C₂×C₈	#10621900	1	4	yes	—
332	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
333	C₄⋊C₄	—	86	1	no	—
334	C₄⋊C₄	—	86	1	no	—
335	C₄⋊C₄	—	86	2	no	—
336	C₄⋊C₄	—	86	2	no	—
337	C₄⋊C₄	—	172	1	no	—
338	C₄⋊C₄	—	172	1	no	—
339	C₄⋊C₄	—	172	1	no	—
340	C₄⋊C₄	—	172	1	no	—
341	C₂²⋊C₄	—	172	2	no	—
342	C₂²⋊C₄	—	172	2	no	—
343	C₂²⋊C₄	—	172	1	no	—
344	C₂²⋊C₄	—	172	1	no	—
345	C₂²⋊C₄	—	172	1	no	—
346	C₂²⋊C₄	—	172	1	no	—
347	C₂²⋊C₄	—	172	1	no	—
348	C₄²	—	172	2	no	—
349	C₄²	—	172	2	no	—
350	C₄²	—	172	1	no	—
351	C₁₆	—	2	2	no	—
352	C₁₆	—	2	2	no	—
353	C₂³	—	2	2	no	—
354	C₂³	—	2	2	no	—
355	C₂³	—	4	1	no	—
356	C₂³	—	172	1	no	—
357	C₂³	C₂×D₃₄₄	1	1	yes	characteristic
358	C₂³	C₂×D₃₄₄	1	1	yes	characteristic
359	C₂³	C₂×D₃₄₄	1	1	yes	characteristic
360	Q₈	—	172	1	no	—
361	Q₈	—	172	1	no	—
362	D₄	—	344	2	no	—
363	D₄	—	344	2	no	—
364	D₄	—	344	2	no	—
365	D₄	—	172	1	no	—
366	D₄	—	172	1	no	—
367	C₂×C₄	—	2	2	no	—
368	C₂×C₄	—	2	1	no	—
369	C₂×C₄	—	2	1	no	—
370	C₂×C₄	—	2	1	no	—
371	C₂×C₄	—	2	1	no	—
372	C₂×C₄	—	2	2	no	—
373	C₂×C₄	—	2	2	no	—
374	C₂×C₄	—	344	2	no	—
375	C₂×C₄	—	344	2	no	—
376	C₂×C₄	—	344	2	no	—
377	C₂×C₄	—	172	2	no	—
378	C₂×C₄	—	172	2	no	—
379	C₂×C₄	—	172	1	no	—
380	C₂×C₄	—	172	1	no	—
381	C₂×C₄	—	172	1	no	—
382	C₂×C₄	#13063309	1	2	yes	—
383	C₂×C₄	C₂×D₃₄₄	1	1	yes	characteristic
384	C₂×C₄	C₂×D₃₄₄	1	1	yes	characteristic
385	C₂×C₄	C₂×D₃₄₄	1	1	yes	characteristic
386	C₂×C₄	#13063358	1	2	yes	—
387	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
388	C₈	—	2	1	no	—
389	C₈	—	2	1	no	—
390	C₈	#13063309	1	2	yes	—
391	C₈	C₂×#10621900	1	2	yes	—
392	C₂²	—	2	1	no	—
393	C₂²	—	2	1	no	—
394	C₂²	—	2	1	no	—
395	C₂²	—	2	1	no	—
396	C₂²	—	2	1	no	—
397	C₂²	—	2	1	no	—
398	C₂²	—	2	1	no	—
399	C₂²	—	4	4	no	—
400	C₂²	—	344	1	no	—
401	C₂²	—	344	1	no	—
402	C₂²	—	344	1	no	—
403	C₂²	#14583213	1	2	yes	—
404	C₂²	#14583331	1	2	yes	—
405	C₂²	C₂²×D₃₄₄	1	1	yes	characteristic
406	C₄	—	2	1	no	—
407	C₄	—	2	1	no	—
408	C₄	—	344	1	no	—
409	C₄	—	344	2	no	—
410	C₄	—	344	1	no	—
411	C₄	—	344	2	no	—
412	C₄	—	344	1	no	—
413	C₄	#14583213	1	2	yes	—
414	C₄	C₂×#13063309	1	1	yes	characteristic
415	C₄	C₂×#13063358	1	1	yes	characteristic
416	C₂	—	2	2	no	—
417	C₂	—	2	2	no	—
418	C₂	—	4	1	no	—
419	C₂	—	688	1	no	—
420	C₂	C₂×#14583213	1	1	yes	characteristic
421	C₂	C₂×#14583331	1	1	yes	characteristic
422	C₂	#19147731	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₃₄₄
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₂×C₄₃×C₂²⋊C₁₆	C₂
socle	C₂²×C₄₃	C₂²×D₈
prime radical	#19144176	C₂
hypercenter	C₂×C₂²⋊C₁₆	D₄₃
hypocenter	C₄₃	#33645
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ C₂³×C₈ ◁ C₂×C₂²⋊C₁₆

Complements

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

N	H ≅ G/N	type
2. C₂×#14582937	C₂	semidirect
3. #19136804	C₂	semidirect
4. #19136798	C₂	semidirect
5. #19136793	C₂	semidirect
6. #19136787	C₂	semidirect
7. #19136781	C₂	semidirect
8. #19136776	C₂	semidirect
9. #19136379	C₂	semidirect
10. #19136303	C₂	semidirect
11. C₂×C₄₃×C₂²⋊C₁₆	C₂	semidirect
30. #14582727	C₂²	semidirect
31. #14582727	C₂²	semidirect
32. #14582725	C₂²	semidirect
33. #14582725	C₂²	semidirect
34. #14582704	C₂²	semidirect
35. #14582704	C₂²	semidirect
36. #14582701	C₂²	semidirect
37. #14582701	C₂²	semidirect
215. C₂×C₂²⋊C₁₆	D₄₃	semidirect
254. C₄₃	#33645	semidirect

Maximal subgroups

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

subgroup	index
#19144176	2
C₂×#14582937	2
#19136804	2
#19136798	2
#19136793	2
#19136787	2
#19136781	2
#19136776	2
#19136379	2
#19136303	2
C₂×C₄₃×C₂²⋊C₁₆	2
#33645	43