Subgroups — #25079755

Order 11008.

726 conjugacy classes of subgroups.

The subgroup lattice has 426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145517	C₂	1	1	yes	maximal, characteristic, complemented
2	#19145510	C₂	1	1	yes	maximal, characteristic
3	C₂×#14583246	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134156	C₂	1	4	yes	maximal, complemented
5	#19134032	C₂	1	4	yes	maximal, complemented
6	#19133343	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133281	C₂	1	1	yes	maximal, characteristic, complemented
8	#19133264	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#2931	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13063325	C₂²	1	1	yes	characteristic
11	C₂×#13063322	C₂²	1	1	yes	characteristic
12	#14583275	—	2	1	no	—
13	#14583271	—	2	1	no	—
14	#14583251	—	2	1	no	—
15	#14583247	—	2	1	no	—
16	#14583246	—	2	1	no	—
17	#14583246	—	2	1	no	—
18	#14583246	C₂²	1	2	yes	—
19	#14583246	C₂²	1	2	yes	—
20	#14583104	C₂²	1	4	yes	complemented
21	#14583094	C₂²	1	4	yes	—
22	#14583037	—	2	2	no	—
23	#14583032	—	2	2	no	—
24	#14582952	C₂²	1	1	yes	characteristic
25	#14582952	C₂²	1	1	yes	characteristic
26	C₂×#13063247	—	2	1	no	—
27	C₂×#13063247	—	2	1	no	—
28	#14582652	C₂²	1	2	yes	complemented
29	#14582650	C₂²	1	2	yes	complemented
30	#14582644	C₂²	1	4	yes	complemented
31	#14582642	C₂²	1	4	yes	—
32	C₂×#131×C₄₃	—	2	1	no	—
33	C₄₃×#532	C₂²	1	1	yes	characteristic
34	C₄₃×#436	—	2	1	no	—
35	C₄₃×#436	C₂²	1	2	yes	complemented
36	C₈×D₄×C₄₃	—	2	1	no	—
37	C₈×D₄×C₄₃	C₂²	1	2	yes	complemented
38	C₄₃×#423	C₂²	1	1	yes	characteristic
39	C₄₃×#408	—	2	1	no	—
40	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
41	C₂²×Dic₈₆	—	2	1	no	—
42	C₂²×D₁₇₂	—	2	1	no	—
43	C₂²×D₁₇₂	—	2	1	no	—
44	C₂²×D₁₇₂	—	2	1	no	—
45	C₂×#10621883	—	2	4	no	—
46	C₂×#10621882	—	2	4	no	—
47	#13063325	—	2	1	no	—
48	#13063325	—	2	1	no	—
49	#13063325	—	2	1	no	—
50	#13063325	C₂³	1	2	yes	—
51	#13063322	—	2	1	no	—
52	#13063322	—	2	1	no	—
53	#13063322	—	2	1	no	—
54	#13063322	C₂³	1	2	yes	—
55	C₂×C₄⋊Dic₄₃	—	2	1	no	—
56	C₂×C₄⋊Dic₄₃	—	2	1	no	—
57	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
58	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
59	#13063248	—	2	4	no	—
60	#13063247	—	2	2	no	—
61	#13063247	—	2	2	no	—
62	#13063247	—	2	2	no	—
63	#13063247	—	2	2	no	—
64	#13063245	—	2	4	no	—
65	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
66	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
67	C₄×C₄₃⋊C₈	—	2	1	no	—
68	C₄×C₄₃⋊C₈	—	2	1	no	—
69	C₂×#41×C₄₃	—	2	1	no	—
70	#131×C₄₃	—	4	4	no	—
71	C₂×M₁₆×C₄₃	—	2	1	no	—
72	C₂×M₁₆×C₄₃	—	2	2	no	—
73	C₂²×C₈×C₄₃	—	2	2	no	—
74	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
75	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
76	C₄⋊Q₈×C₄₃	D₄	1	1	yes	characteristic
77	#127×C₄₃	D₄	1	1	yes	characteristic
78	#124×C₄₃	—	2	1	no	—
79	#121×C₄₃	—	2	1	no	—
80	#121×C₄₃	D₄	1	2	yes	—
81	C₄×D₄×C₄₃	—	2	1	no	—
82	C₄×D₄×C₄₃	C₂³	1	2	yes	—
83	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
84	C₄⋊C₈×C₄₃	—	2	1	no	—
85	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
86	C₂²⋊C₈×C₄₃	—	2	2	no	—
87	C₂²⋊C₈×C₄₃	—	2	2	no	—
88	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
89	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
90	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
91	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
92	C₂³×D₄₃	—	4	1	no	—
93	#41×C₄₃	—	4	2	no	—
94	#41×C₄₃	—	4	2	no	—
95	C₂×Q₈×C₄₃	—	2	1	no	—
96	C₂×D₄×C₄₃	—	2	1	no	—
97	C₂×D₄×C₄₃	—	2	1	no	—
98	C₂×D₄×C₄₃	—	2	2	no	—
99	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
100	C₂²×C₄×C₄₃	—	2	2	no	—
101	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
102	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
103	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
104	C₂²×Dic₄₃	—	4	1	no	—
105	C₂×D₁₇₂	—	2	2	no	—
106	C₂×D₁₇₂	—	2	2	no	—
107	C₂×D₁₇₂	—	2	2	no	—
108	C₂×D₁₇₂	—	4	1	no	—
109	C₂×D₁₇₂	—	4	1	no	—
110	C₂×D₁₇₂	—	4	1	no	—
111	C₂×D₁₇₂	—	4	2	no	—
112	C₂×D₁₇₂	—	4	2	no	—
113	C₂×D₁₇₂	—	8	2	no	—
114	C₂×D₁₇₂	—	8	2	no	—
115	C₂×Dic₈₆	—	2	2	no	—
116	C₂×Dic₈₆	—	4	1	no	—
117	C₂×Dic₈₆	—	8	2	no	—
118	M₁₆×C₄₃	—	4	4	no	—
119	M₁₆×C₄₃	—	4	2	no	—
120	C₂×C₈×C₄₃	—	2	2	no	—
121	C₂×C₈×C₄₃	—	2	2	no	—
122	C₂×C₈×C₄₃	—	2	2	no	—
123	C₂×C₈×C₄₃	—	4	4	no	—
124	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
125	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
126	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
127	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
128	C₄⋊C₄×C₄₃	—	2	1	no	—
129	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
130	C₂²⋊C₄×C₄₃	—	2	2	no	—
131	C₂²⋊C₄×C₄₃	—	2	2	no	—
132	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
133	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
134	C₄²×C₄₃	#41	1	1	yes	characteristic
135	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
136	#10621883	—	8	4	no	—
137	#10621882	—	8	4	no	—
138	C₄⋊Dic₄₃	—	2	2	no	—
139	C₄⋊Dic₄₃	—	2	2	no	—
140	C₄⋊Dic₄₃	—	4	1	no	—
141	C₄⋊Dic₄₃	—	4	1	no	—
142	C₂×C₄₃⋊C₈	—	2	2	no	—
143	C₂×C₄₃⋊C₈	—	2	2	no	—
144	C₂³×C₄₃	—	2	2	no	—
145	C₂³×C₄₃	#121	1	1	yes	characteristic
146	C₂²×D₄₃	—	4	2	no	—
147	C₂²×D₄₃	—	8	2	no	—
148	C₂²×D₄₃	—	8	2	no	—
149	C₂²×D₄₃	—	8	2	no	—
150	Q₈×C₄₃	—	4	2	no	—
151	D₄×C₄₃	—	2	4	no	—
152	D₄×C₄₃	—	4	4	no	—
153	D₄×C₄₃	—	4	2	no	—
154	D₄×C₄₃	—	4	2	no	—
155	C₂×C₄×C₄₃	—	2	2	no	—
156	C₂×C₄×C₄₃	—	2	2	no	—
157	C₂×C₄×C₄₃	—	2	2	no	—
158	C₂×C₄×C₄₃	—	4	2	no	—
159	C₂×C₄×C₄₃	—	4	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	#135	1	2	yes	—
164	C₂×C₄×C₄₃	AGL(1,ℤ/8)	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	C₂×Dic₄₃	—	4	2	no	—
169	C₂×Dic₄₃	—	8	2	no	—
170	D₁₇₂	—	4	2	no	—
171	D₁₇₂	—	4	2	no	—
172	D₁₇₂	—	4	4	no	—
173	D₁₇₂	—	8	2	no	—
174	D₁₇₂	—	8	2	no	—
175	D₁₇₂	—	8	2	no	—
176	D₁₇₂	—	8	2	no	—
177	Dic₈₆	—	4	4	no	—
178	Dic₈₆	—	8	2	no	—
179	C₈×C₄₃	—	2	1	no	—
180	C₈×C₄₃	—	2	1	no	—
181	C₈×C₄₃	—	2	1	no	—
182	C₈×C₄₃	—	2	1	no	—
183	C₈×C₄₃	—	4	2	no	—
184	C₄₃⋊C₈	—	4	2	no	—
185	C₄₃⋊C₈	—	4	2	no	—
186	#19198	—	43	1	no	maximal, Sylow
187	C₂²×C₄₃	—	2	1	no	—
188	C₂²×C₄₃	—	2	1	no	—
189	C₂²×C₄₃	—	4	2	no	—
190	C₂²×C₄₃	—	4	2	no	—
191	C₂²×C₄₃	—	4	2	no	—
192	C₂²×C₄₃	#463	1	2	yes	—
193	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
194	C₂×D₄₃	—	8	2	no	—
195	C₂×D₄₃	—	8	2	no	—
196	C₂×D₄₃	—	8	2	no	—
197	C₂×D₄₃	—	16	4	no	—
198	C₄×C₄₃	—	2	1	no	—
199	C₄×C₄₃	—	2	1	no	—
200	C₄×C₄₃	—	4	2	no	—
201	C₄×C₄₃	#463	1	2	yes	—
202	C₄×C₄₃	#471	1	2	yes	—
203	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
204	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
205	C₄×C₄₃	#576	1	2	yes	—
206	Dic₄₃	—	8	2	no	—
207	#3206	—	43	1	no	—
208	#3205	—	43	1	no	—
209	C₂×#486	—	43	1	no	—
210	#2931	D₄₃	1	1	yes	characteristic, complemented
211	#1701	—	43	4	no	—
212	#1681	—	43	4	no	—
213	#1564	—	43	1	no	—
214	#1549	—	43	1	no	—
215	#1545	—	43	1	no	—
216	C₂×C₄₃	—	2	2	no	—
217	C₂×C₄₃	—	8	2	no	—
218	C₂×C₄₃	C₂×#463	1	1	yes	characteristic
219	C₂×C₄₃	#3058	1	1	yes	characteristic
220	C₂×C₄₃	C₂×#471	1	1	yes	characteristic
221	D₄₃	—	16	2	no	—
222	C₂×#131	—	2	1	no	—
223	#532	C₂×D₄₃	1	1	yes	characteristic
224	C₂×C₄⋊Q₈	—	43	1	no	—
225	C₂×#127	—	43	1	no	—
226	#493	—	86	1	no	—
227	#492	—	86	1	no	—
228	#487	—	86	1	no	—
229	#486	—	43	2	no	—
230	#486	—	43	2	no	—
231	#486	—	86	1	no	—
232	#486	—	86	1	no	—
233	#486	—	86	1	no	—
234	#461	—	43	4	no	—
235	#459	—	43	4	no	—
236	#448	—	86	2	no	—
237	#447	—	86	2	no	—
238	#436	—	2	1	no	—
239	#436	C₂×D₄₃	1	2	yes	complemented
240	C₈×D₄	—	2	1	no	—
241	C₈×D₄	C₂×D₄₃	1	2	yes	complemented
242	#431	—	43	1	no	—
243	#431	—	43	1	no	—
244	#423	C₂×D₄₃	1	1	yes	characteristic
245	C₂×#102	—	86	1	no	—
246	C₂×#102	—	86	1	no	—
247	#408	—	2	1	no	—
248	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
249	#335	—	43	2	no	—
250	#334	—	43	2	no	—
251	#332	—	43	4	no	—
252	#331	—	43	4	no	—
253	C₄₃	#19198	1	1	yes	characteristic, complemented, Sylow
254	C₂×#41	—	2	1	no	—
255	C₂²×Q₈	—	86	1	no	—
256	C₂²×D₄	—	86	1	no	—
257	C₂²×D₄	—	86	1	no	—
258	C₂²×D₄	—	86	1	no	—
259	C₂×SD₁₆	—	86	4	no	—
260	C₂×D₈	—	86	4	no	—
261	#131	—	4	4	no	—
262	C₂×M₁₆	—	2	1	no	—
263	C₂×M₁₆	—	2	2	no	—
264	C₂²×C₈	—	2	2	no	—
265	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
266	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
267	C₄⋊Q₈	—	43	2	no	—
268	C₄⋊Q₈	—	86	1	no	—
269	C₄⋊Q₈	—	86	1	no	—
270	C₄⋊Q₈	—	86	1	no	—
271	C₄⋊Q₈	D₁₇₂	1	1	yes	characteristic
272	#127	—	43	2	no	—
273	#127	—	86	1	no	—
274	#127	—	86	1	no	—
275	#127	—	86	1	no	—
276	#127	D₁₇₂	1	1	yes	characteristic
277	#124	—	2	1	no	—
278	#121	—	2	1	no	—
279	#121	D₁₇₂	1	2	yes	—
280	C₄×D₄	—	2	1	no	—
281	C₄×D₄	C₂²×D₄₃	1	2	yes	—
282	C₂×C₄⋊C₄	—	86	1	no	—
283	C₂×C₄⋊C₄	—	86	1	no	—
284	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
285	C₄⋊C₈	—	2	1	no	—
286	C₄⋊C₈	—	43	2	no	—
287	C₄⋊C₈	—	43	2	no	—
288	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
289	#103	—	86	4	no	—
290	#102	—	86	2	no	—
291	#102	—	86	2	no	—
292	#102	—	86	2	no	—
293	#102	—	86	2	no	—
294	#102	—	86	4	no	—
295	C₂²⋊C₈	—	2	2	no	—
296	C₂²⋊C₈	—	2	2	no	—
297	C₂²⋊C₈	—	86	1	no	—
298	C₂²⋊C₈	—	86	1	no	—
299	C₄×C₈	—	86	1	no	—
300	C₄×C₈	—	86	1	no	—
301	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
302	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
303	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
304	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
305	C₂⁴	—	172	1	no	—
306	#41	—	4	2	no	—
307	#41	—	4	2	no	—
308	C₂×Q₈	—	2	1	no	—
309	C₂×Q₈	—	86	2	no	—
310	C₂×Q₈	—	344	2	no	—
311	C₂×Q₈	—	172	1	no	—
312	C₂×D₄	—	2	2	no	—
313	C₂×D₄	—	2	1	no	—
314	C₂×D₄	—	2	1	no	—
315	C₂×D₄	—	86	2	no	—
316	C₂×D₄	—	86	2	no	—
317	C₂×D₄	—	86	2	no	—
318	C₂×D₄	—	344	2	no	—
319	C₂×D₄	—	344	2	no	—
320	C₂×D₄	—	172	1	no	—
321	C₂×D₄	—	172	1	no	—
322	C₂×D₄	—	172	1	no	—
323	C₂×D₄	—	172	2	no	—
324	C₂×D₄	—	172	2	no	—
325	C₂×D₄	C₂×D₁₇₂	1	2	yes	—
326	C₂²×C₄	—	2	2	no	—
327	C₂²×C₄	—	172	1	no	—
328	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
329	C₂²×C₄	#10621898	1	1	yes	characteristic
330	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
331	SD₁₆	—	344	4	no	—
332	D₈	—	344	4	no	—
333	M₁₆	—	4	4	no	—
334	M₁₆	—	4	2	no	—
335	C₂×C₈	—	2	2	no	—
336	C₂×C₈	—	2	2	no	—
337	C₂×C₈	—	2	2	no	—
338	C₂×C₈	—	4	4	no	—
339	C₂×C₈	—	86	2	no	—
340	C₂×C₈	—	86	2	no	—
341	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
342	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
343	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
344	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
345	C₄⋊C₄	—	2	1	no	—
346	C₄⋊C₄	—	86	2	no	—
347	C₄⋊C₄	—	86	2	no	—
348	C₄⋊C₄	—	172	1	no	—
349	C₄⋊C₄	—	172	1	no	—
350	C₄⋊C₄	C₂×D₁₇₂	1	2	yes	—
351	C₂²⋊C₄	—	2	2	no	—
352	C₂²⋊C₄	—	2	2	no	—
353	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
354	C₄²	#10621898	1	1	yes	characteristic
355	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
356	C₄²	C₂³×D₄₃	1	1	yes	characteristic
357	C₂³	—	2	2	no	—
358	C₂³	—	344	2	no	—
359	C₂³	—	344	2	no	—
360	C₂³	—	344	2	no	—
361	C₂³	—	172	2	no	—
362	C₂³	#13063299	1	1	yes	characteristic
363	Q₈	—	4	2	no	—
364	Q₈	—	344	2	no	—
365	Q₈	—	172	4	no	—
366	D₄	—	2	4	no	—
367	D₄	—	4	4	no	—
368	D₄	—	4	2	no	—
369	D₄	—	4	2	no	—
370	D₄	—	344	2	no	—
371	D₄	—	344	2	no	—
372	D₄	—	344	2	no	—
373	D₄	—	344	2	no	—
374	D₄	—	172	2	no	—
375	D₄	—	172	2	no	—
376	D₄	—	172	4	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	4	2	no	—
381	C₂×C₄	—	4	2	no	—
382	C₂×C₄	—	344	2	no	—
383	C₂×C₄	—	172	2	no	—
384	C₂×C₄	#13063299	1	1	yes	characteristic
385	C₂×C₄	#13063299	1	1	yes	characteristic
386	C₂×C₄	#13063299	1	1	yes	characteristic
387	C₂×C₄	#13063345	1	2	yes	—
388	C₂×C₄	#13063351	1	2	yes	—
389	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
390	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
391	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
392	C₈	—	2	1	no	—
393	C₈	—	2	1	no	—
394	C₈	—	2	1	no	—
395	C₈	—	2	1	no	—
396	C₈	—	4	2	no	—
397	C₈	—	172	2	no	—
398	C₈	—	172	2	no	—
399	C₂²	—	2	1	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	4	2	no	—
402	C₂²	—	4	2	no	—
403	C₂²	—	4	2	no	—
404	C₂²	—	344	2	no	—
405	C₂²	—	344	2	no	—
406	C₂²	—	344	2	no	—
407	C₂²	—	688	4	no	—
408	C₂²	#14583114	1	2	yes	—
409	C₂²	C₂×#13063299	1	1	yes	characteristic
410	C₄	—	2	1	no	—
411	C₄	—	2	1	no	—
412	C₄	—	4	2	no	—
413	C₄	—	344	2	no	—
414	C₄	#14583114	1	2	yes	—
415	C₄	#14583162	1	2	yes	—
416	C₄	C₂×#13063345	1	1	yes	characteristic
417	C₄	C₂×#13063351	1	1	yes	characteristic
418	C₄	#14583704	1	2	yes	—
419	C₂	—	2	2	no	—
420	C₂	—	8	2	no	—
421	C₂	—	688	2	no	—
422	C₂	C₂×#14583114	1	1	yes	characteristic
423	C₂	#19144243	1	1	yes	characteristic
424	C₂	C₂×#14583162	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063299
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#2931	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	#19145510	C₂
hypercenter	#2931	D₄₃
hypocenter	C₄₃	#19198
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2931

Complements

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

N	H ≅ G/N	type
1. #19145517	C₂	semidirect
3. C₂×#14583246	C₂	semidirect
4. #19134156	C₂	semidirect
5. #19134032	C₂	semidirect
6. #19133343	C₂	semidirect
7. #19133281	C₂	semidirect
8. #19133264	C₂	semidirect
9. C₄₃×#2931	C₂	semidirect
20. #14583104	C₂²	semidirect
28. #14582652	C₂²	semidirect
29. #14582650	C₂²	semidirect
30. #14582644	C₂²	semidirect
35. C₄₃×#436	C₂²	semidirect
37. C₈×D₄×C₄₃	C₂²	semidirect
210. #2931	D₄₃	semidirect
239. #436	C₂×D₄₃	semidirect
241. C₈×D₄	C₂×D₄₃	semidirect
253. C₄₃	#19198	semidirect

Maximal subgroups

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

subgroup	index
#19145517	2
#19145510	2
C₂×#14583246	2
#19134156	2
#19134032	2
#19133343	2
#19133281	2
#19133264	2
C₄₃×#2931	2
#19198	43