Subgroups — #25080556

Order 11008.

670 conjugacy classes of subgroups.

The subgroup lattice has 418 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19144404	C₂	1	1	yes	maximal, characteristic
2	#19144078	C₂	1	1	yes	maximal, characteristic
3	C₈×#10621898	C₂	1	1	yes	maximal, characteristic
4	#19134022	C₂	1	4	yes	maximal, complemented
5	#19134015	C₂	1	4	yes	maximal, complemented
6	#19133351	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133280	C₂	1	1	yes	maximal, characteristic, complemented
8	#19133267	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₄₃×#487	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13063356	—	2	1	no	—
11	C₄×#10621898	C₂²	1	1	yes	characteristic
12	#14583191	—	2	1	no	—
13	#14583186	—	2	1	no	—
14	#14583181	C₂²	1	2	yes	—
15	#14583176	C₂²	1	2	yes	—
16	#14583106	—	2	1	no	—
17	#14583106	C₂²	1	2	yes	—
18	#14583101	—	2	1	no	—
19	#14583101	C₂²	1	2	yes	—
20	C₈×Dic₈₆	C₂²	1	2	yes	—
21	C₈×D₁₇₂	C₂²	1	2	yes	—
22	C₈×C₂²⋊D₄₃	—	2	2	no	—
23	#14582952	C₂²	1	1	yes	characteristic
24	#14582950	—	2	1	no	—
25	#14582939	—	2	1	no	—
26	#14582923	C₂²	1	1	yes	characteristic
27	#14582923	C₂²	1	1	yes	characteristic
28	#14582908	—	2	1	no	—
29	#14582898	—	2	1	no	—
30	C₄×C₈×D₄₃	—	2	1	no	—
31	#14582650	C₂²	1	4	yes	—
32	#14582645	C₂²	1	4	yes	—
33	#14582645	C₂²	1	4	yes	—
34	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
36	C₄₃×#487	—	2	1	no	—
37	C₄₃×#487	—	2	1	no	—
38	C₄₃×#487	C₂²	1	4	yes	—
39	C₂×#103×C₄₃	—	2	2	no	—
40	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
41	C₂×#10621898	D₄	1	1	yes	characteristic
42	#13063356	—	4	4	no	—
43	C₂×#10621885	—	2	2	no	—
44	C₂×#10621884	—	2	2	no	—
45	C₂×#10621877	—	2	1	no	—
46	C₂×#10621877	—	2	1	no	—
47	C₂×C₈×D₄₃	—	2	2	no	—
48	C₄×Dic₈₆	D₄	1	1	yes	characteristic
49	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
50	C₄×D₁₇₂	D₄	1	1	yes	characteristic
51	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
52	C₄×C₂²⋊D₄₃	—	2	1	no	—
53	C₄×C₂²⋊D₄₃	—	2	1	no	—
54	#13063284	D₄	1	1	yes	characteristic
55	#13063282	—	2	1	no	—
56	C₄²×D₄₃	—	2	1	no	—
57	#13063258	—	2	2	no	—
58	#13063256	—	2	2	no	—
59	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
60	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
61	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
62	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
63	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
64	Dic₄₃⋊C₈	—	2	2	no	—
65	#13063249	—	2	2	no	—
66	#13063249	—	2	2	no	—
67	#13063248	—	2	2	no	—
68	#13063245	—	2	2	no	—
69	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
70	(C₂×D₄₃)⋊C₈	—	2	2	no	—
71	C₄×C₄₃⋊C₈	—	2	1	no	—
72	C₈×Dic₄₃	—	2	2	no	—
73	C₂²×Q₈×C₄₃	—	2	1	no	—
74	C₂²×Q₈×C₄₃	—	2	1	no	—
75	C₂²×C₈×C₄₃	D₄	1	2	yes	—
76	C₄⋊Q₈×C₄₃	—	2	1	no	—
77	C₄⋊Q₈×C₄₃	—	2	1	no	—
78	C₄⋊Q₈×C₄₃	—	2	1	no	—
79	C₄⋊Q₈×C₄₃	—	2	1	no	—
80	C₄⋊Q₈×C₄₃	—	2	1	no	—
81	C₄⋊Q₈×C₄₃	—	2	1	no	—
82	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
83	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
84	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
85	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
86	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
87	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
88	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
89	#103×C₄₃	—	2	4	no	—
90	#103×C₄₃	—	2	4	no	—
91	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
92	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
93	C₄×C₈×C₄₃	C₂³	1	2	yes	—
94	C₂×Q₈×C₄₃	—	2	2	no	—
95	C₂×Q₈×C₄₃	—	2	2	no	—
96	C₂×Q₈×C₄₃	—	4	4	no	—
97	C₂×Q₈×C₄₃	—	4	1	no	—
98	C₂×Q₈×C₄₃	—	4	1	no	—
99	C₂×Q₈×C₄₃	—	4	2	no	—
100	C₂×Q₈×C₄₃	—	4	2	no	—
101	C₂²×C₄×C₄₃	—	4	1	no	—
102	C₂²×C₄×C₄₃	—	4	1	no	—
103	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
106	C₂×C₂²⋊D₄₃	—	2	1	no	—
107	#10621898	—	2	2	no	—
108	#10621898	SD₁₆	1	4	yes	—
109	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
110	C₂×C₄×D₄₃	—	2	1	no	—
111	C₂×C₄×D₄₃	—	2	1	no	—
112	C₂×C₄×D₄₃	—	2	1	no	—
113	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
114	C₂×C₈×C₄₃	—	4	2	no	—
115	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
116	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
117	C₄⋊C₄×C₄₃	—	2	2	no	—
118	C₄⋊C₄×C₄₃	—	2	2	no	—
119	C₄⋊C₄×C₄₃	—	2	2	no	—
120	C₄⋊C₄×C₄₃	—	2	2	no	—
121	C₄⋊C₄×C₄₃	—	4	1	no	—
122	C₄⋊C₄×C₄₃	—	4	1	no	—
123	C₄⋊C₄×C₄₃	—	4	1	no	—
124	C₄⋊C₄×C₄₃	—	4	1	no	—
125	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₄₃	#41	1	1	yes	characteristic
128	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
129	C₂²⋊Dic₄₃	—	2	1	no	—
130	#10621885	—	4	4	no	—
131	#10621884	—	4	4	no	—
132	(C₂×D₄₃)⋊C₄	—	2	1	no	—
133	(C₂×D₄₃)⋊C₄	—	2	1	no	—
134	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
135	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
136	Dic₄₃⋊C₄	—	2	1	no	—
137	Dic₄₃⋊C₄	—	2	1	no	—
138	C₄×Dic₄₃	—	2	1	no	—
139	C₄×Dic₄₃	—	2	1	no	—
140	C₄×Dic₄₃	—	2	1	no	—
141	#10621877	—	4	2	no	—
142	#10621877	—	4	2	no	—
143	C₂×C₄₃⋊C₈	—	2	2	no	—
144	C₂×C₄₃⋊C₈	—	2	2	no	—
145	C₂×C₄₃⋊C₈	—	2	2	no	—
146	C₈×D₄₃	—	4	4	no	—
147	C₂³×C₄₃	#121	1	1	yes	characteristic
148	C₂²×D₄₃	—	2	1	no	—
149	Q₈×C₄₃	—	4	2	no	—
150	Q₈×C₄₃	—	4	2	no	—
151	Q₈×C₄₃	—	4	4	no	—
152	Q₈×C₄₃	—	8	2	no	—
153	Q₈×C₄₃	—	8	2	no	—
154	C₂×C₄×C₄₃	—	2	2	no	—
155	C₂×C₄×C₄₃	—	2	2	no	—
156	C₂×C₄×C₄₃	—	4	2	no	—
157	C₂×C₄×C₄₃	—	4	2	no	—
158	C₂×C₄×C₄₃	—	8	2	no	—
159	C₂×C₄×C₄₃	—	8	2	no	—
160	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
161	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
162	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
163	C₂×C₄×C₄₃	C₂×SD₁₆	1	2	yes	—
164	C₂×C₄×C₄₃	#135	1	2	yes	—
165	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
168	C₂²⋊D₄₃	—	2	4	no	—
169	C₂×Dic₄₃	—	2	1	no	—
170	C₂×Dic₄₃	—	2	1	no	—
171	C₂×Dic₄₃	—	2	1	no	—
172	D₁₇₂	—	2	1	no	—
173	D₁₇₂	C₂×SD₁₆	1	2	yes	—
174	C₄×D₄₃	—	2	4	no	—
175	C₄×D₄₃	—	4	2	no	—
176	C₄×D₄₃	—	4	2	no	—
177	Dic₈₆	—	2	1	no	—
178	Dic₈₆	C₂×SD₁₆	1	2	yes	—
179	C₈×C₄₃	—	2	2	no	—
180	C₈×C₄₃	—	2	2	no	—
181	C₄₃⋊C₈	—	4	2	no	—
182	C₄₃⋊C₈	—	4	2	no	—
183	C₄₃⋊C₈	—	4	2	no	—
184	#19275	—	43	1	no	maximal, Sylow
185	C₂²×C₄₃	—	2	1	no	—
186	C₂²×C₄₃	—	2	1	no	—
187	C₂²×C₄₃	#465	1	2	yes	—
188	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
189	C₂×D₄₃	—	2	2	no	—
190	C₂×D₄₃	—	4	1	no	—
191	C₂×D₄₃	—	4	1	no	—
192	C₄×C₄₃	—	2	1	no	—
193	C₄×C₄₃	—	2	1	no	—
194	C₄×C₄₃	—	8	2	no	—
195	C₄×C₄₃	—	8	2	no	—
196	C₄×C₄₃	#465	1	2	yes	—
197	C₄×C₄₃	#473	1	2	yes	—
198	C₄×C₄₃	C₂²×SD₁₆	1	1	yes	characteristic
199	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
200	C₄×C₄₃	#575	1	2	yes	—
201	Dic₄₃	—	2	2	no	—
202	Dic₄₃	—	4	1	no	—
203	Dic₄₃	—	4	1	no	—
204	C₂×#487	D₄₃	1	1	yes	characteristic, complemented
205	#3079	—	43	1	no	—
206	#3039	—	43	1	no	—
207	C₈×#41	—	43	1	no	—
208	#1680	—	43	4	no	—
209	#1679	—	43	4	no	—
210	#1566	—	43	1	no	—
211	#1549	—	43	1	no	—
212	#1546	—	43	1	no	—
213	C₂×C₄₃	—	2	2	no	—
214	C₂×C₄₃	#3040	1	1	yes	characteristic
215	C₂×C₄₃	C₂×#465	1	1	yes	characteristic
216	C₂×C₄₃	C₂×#473	1	1	yes	characteristic
217	D₄₃	—	4	2	no	—
218	C₂×#137	—	86	1	no	—
219	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
220	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
221	C₄×#41	—	43	1	no	—
222	#487	—	2	1	no	—
223	#487	—	2	1	no	—
224	#487	C₂×D₄₃	1	4	yes	—
225	#477	—	86	1	no	—
226	#476	—	86	1	no	—
227	#475	—	43	2	no	—
228	#474	—	43	2	no	—
229	#462	—	43	2	no	—
230	#462	—	86	1	no	—
231	#461	—	43	2	no	—
232	#461	—	86	1	no	—
233	C₈×Q₈	—	43	2	no	—
234	C₈×D₄	—	43	2	no	—
235	C₈×D₄	—	86	2	no	—
236	#431	—	43	1	no	—
237	#431	—	86	1	no	—
238	#428	—	86	1	no	—
239	#423	—	43	1	no	—
240	#423	—	43	1	no	—
241	#419	—	86	1	no	—
242	#417	—	86	1	no	—
243	C₂×#103	—	2	2	no	—
244	C₂×C₄×C₈	—	86	1	no	—
245	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
246	#334	—	43	4	no	—
247	#332	—	43	4	no	—
248	#332	—	43	4	no	—
249	C₄₃	#19275	1	1	yes	characteristic, complemented, Sylow
250	C₂×#41	—	43	1	no	—
251	C₂²×Q₈	—	2	1	no	—
252	C₂²×Q₈	—	2	1	no	—
253	#137	—	172	4	no	—
254	C₂×Q₁₆	—	86	2	no	—
255	C₂×SD₁₆	—	86	2	no	—
256	C₂×M₁₆	—	86	1	no	—
257	C₂×M₁₆	—	86	1	no	—
258	C₂²×C₈	—	86	2	no	—
259	C₂²×C₈	C₂²⋊D₄₃	1	2	yes	—
260	C₄⋊Q₈	—	2	1	no	—
261	C₄⋊Q₈	—	2	1	no	—
262	C₄⋊Q₈	—	2	1	no	—
263	C₄⋊Q₈	—	2	1	no	—
264	C₄⋊Q₈	—	2	1	no	—
265	C₄⋊Q₈	—	2	1	no	—
266	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
267	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
268	C₄×Q₈	—	43	1	no	—
269	C₄×Q₈	—	43	1	no	—
270	C₄×D₄	—	43	1	no	—
271	C₄×D₄	—	43	1	no	—
272	C₄×D₄	—	86	1	no	—
273	C₄×D₄	—	86	1	no	—
274	#117	—	43	1	no	—
275	#117	—	86	1	no	—
276	C₂×C₄⋊C₄	—	2	1	no	—
277	C₂×C₄⋊C₄	—	2	1	no	—
278	C₂×C₄⋊C₄	—	2	1	no	—
279	C₂×C₄⋊C₄	—	2	1	no	—
280	C₂×C₄²	—	86	1	no	—
281	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
282	#107	—	86	2	no	—
283	#106	—	86	2	no	—
284	C₄⋊C₈	—	43	2	no	—
285	C₄⋊C₈	—	43	2	no	—
286	C₄⋊C₈	—	43	2	no	—
287	C₄⋊C₈	—	86	2	no	—
288	C₄⋊C₈	—	86	1	no	—
289	C₄⋊C₈	—	86	1	no	—
290	#103	—	2	4	no	—
291	#103	—	2	4	no	—
292	#103	—	86	2	no	—
293	#103	—	86	2	no	—
294	#103	—	86	2	no	—
295	#102	—	86	2	no	—
296	C₂²⋊C₈	—	86	1	no	—
297	C₂²⋊C₈	—	86	2	no	—
298	C₄×C₈	—	86	2	no	—
299	C₄×C₈	—	86	1	no	—
300	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
301	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
302	C₄×C₈	C₂²×D₄₃	1	2	yes	—
303	#41	—	43	4	no	—
304	#41	—	86	2	no	—
305	C₂×Q₈	—	2	2	no	—
306	C₂×Q₈	—	2	2	no	—
307	C₂×Q₈	—	4	4	no	—
308	C₂×Q₈	—	4	1	no	—
309	C₂×Q₈	—	4	1	no	—
310	C₂×Q₈	—	4	2	no	—
311	C₂×Q₈	—	4	2	no	—
312	C₂×Q₈	—	43	1	no	—
313	C₂×D₄	—	43	1	no	—
314	C₂×D₄	—	86	1	no	—
315	C₂²×C₄	—	4	1	no	—
316	C₂²×C₄	—	4	1	no	—
317	C₂²×C₄	—	86	1	no	—
318	C₂²×C₄	—	86	1	no	—
319	C₂²×C₄	—	86	1	no	—
320	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
321	C₂²×C₄	#10621900	1	1	yes	characteristic
322	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
323	Q₁₆	—	172	4	no	—
324	SD₁₆	—	172	4	no	—
325	M₁₆	—	172	2	no	—
326	M₁₆	—	172	2	no	—
327	C₂×C₈	—	4	2	no	—
328	C₂×C₈	—	86	2	no	—
329	C₂×C₈	—	86	2	no	—
330	C₂×C₈	—	86	2	no	—
331	C₂×C₈	—	172	4	no	—
332	C₂×C₈	C₂×C₂²⋊D₄₃	1	2	yes	—
333	C₂×C₈	C₂×C₂²⋊D₄₃	1	2	yes	—
334	C₄⋊C₄	—	2	2	no	—
335	C₄⋊C₄	—	2	2	no	—
336	C₄⋊C₄	—	2	2	no	—
337	C₄⋊C₄	—	2	2	no	—
338	C₄⋊C₄	—	4	1	no	—
339	C₄⋊C₄	—	4	1	no	—
340	C₄⋊C₄	—	4	1	no	—
341	C₄⋊C₄	—	4	1	no	—
342	C₄⋊C₄	—	43	1	no	—
343	C₄⋊C₄	—	43	1	no	—
344	C₄⋊C₄	—	86	1	no	—
345	C₄⋊C₄	—	86	1	no	—
346	C₂²⋊C₄	—	86	1	no	—
347	C₂²⋊C₄	—	86	1	no	—
348	C₂²⋊C₄	—	86	1	no	—
349	C₄²	—	86	1	no	—
350	C₄²	—	86	1	no	—
351	C₄²	—	86	1	no	—
352	C₄²	D₄×D₄₃	1	1	yes	characteristic
353	C₄²	#10621900	1	1	yes	characteristic
354	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
355	C₄²	C₂³×D₄₃	1	1	yes	characteristic
356	C₂³	—	86	1	no	—
357	C₂³	#13063296	1	1	yes	characteristic
358	Q₈	—	4	2	no	—
359	Q₈	—	4	2	no	—
360	Q₈	—	4	4	no	—
361	Q₈	—	8	2	no	—
362	Q₈	—	8	2	no	—
363	Q₈	—	43	2	no	—
364	Q₈	—	86	1	no	—
365	D₄	—	43	2	no	—
366	D₄	—	86	4	no	—
367	D₄	—	86	1	no	—
368	C₂×C₄	—	2	2	no	—
369	C₂×C₄	—	2	2	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	4	2	no	—
372	C₂×C₄	—	8	2	no	—
373	C₂×C₄	—	8	2	no	—
374	C₂×C₄	—	86	1	no	—
375	C₂×C₄	—	86	4	no	—
376	C₂×C₄	—	86	1	no	—
377	C₂×C₄	—	86	1	no	—
378	C₂×C₄	—	172	2	no	—
379	C₂×C₄	—	172	2	no	—
380	C₂×C₄	#13063296	1	1	yes	characteristic
381	C₂×C₄	#13063296	1	1	yes	characteristic
382	C₂×C₄	#13063296	1	1	yes	characteristic
383	C₂×C₄	SD₁₆×D₄₃	1	2	yes	—
384	C₂×C₄	#13063346	1	2	yes	—
385	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
386	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
387	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
388	C₈	—	2	2	no	—
389	C₈	—	2	2	no	—
390	C₈	—	172	2	no	—
391	C₈	—	172	2	no	—
392	C₈	—	172	2	no	—
393	C₂²	—	2	1	no	—
394	C₂²	—	2	1	no	—
395	C₂²	—	86	2	no	—
396	C₂²	—	172	1	no	—
397	C₂²	—	172	1	no	—
398	C₂²	#14583125	1	2	yes	—
399	C₂²	C₂×#13063296	1	1	yes	characteristic
400	C₄	—	2	1	no	—
401	C₄	—	2	1	no	—
402	C₄	—	8	2	no	—
403	C₄	—	8	2	no	—
404	C₄	—	86	2	no	—
405	C₄	—	172	1	no	—
406	C₄	—	172	1	no	—
407	C₄	#14583125	1	2	yes	—
408	C₄	#14583171	1	2	yes	—
409	C₄	C₂×SD₁₆×D₄₃	1	1	yes	characteristic
410	C₄	C₂×#13063346	1	1	yes	characteristic
411	C₄	#14583697	1	2	yes	—
412	C₂	—	2	2	no	—
413	C₂	—	172	2	no	—
414	C₂	#19144085	1	1	yes	characteristic
415	C₂	C₂×#14583125	1	1	yes	characteristic
416	C₂	C₂×#14583171	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063296
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₂×C₄₃×#487	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	C₂×#10621898	D₄
hypercenter	C₂×#487	D₄₃
hypocenter	C₄₃	#19275
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#487

Complements

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

N	H ≅ G/N	type
4. #19134022	C₂	semidirect
5. #19134015	C₂	semidirect
6. #19133351	C₂	semidirect
7. #19133280	C₂	semidirect
8. #19133267	C₂	semidirect
9. C₂×C₄₃×#487	C₂	semidirect
204. C₂×#487	D₄₃	semidirect
249. C₄₃	#19275	semidirect

Maximal subgroups

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

subgroup	index
#19144404	2
#19144078	2
C₈×#10621898	2
#19134022	2
#19134015	2
#19133351	2
#19133280	2
#19133267	2
C₂×C₄₃×#487	2
#19275	43