Subgroups — #25066719

Order 11008.

678 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19144596	C₂	1	1	yes	maximal, characteristic
2	#19143670	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143618	C₂	1	1	yes	maximal, characteristic, complemented
4	#19133461	C₂	1	2	yes	maximal, complemented
5	#19133426	C₂	1	2	yes	maximal, complemented
6	#19133420	C₂	1	2	yes	maximal, complemented
7	C₈×D₃₄₄	C₂	1	2	yes	maximal, complemented
8	#19133375	C₂	1	1	yes	maximal, characteristic, complemented
9	#19133039	C₂	1	1	yes	maximal, characteristic, complemented
10	#19133013	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#1453	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583449	C₂²	1	1	yes	characteristic
13	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
14	#14583213	C₄	1	2	yes	—
15	#14583180	C₄	1	2	yes	—
16	#14583095	C₄	1	2	yes	—
17	#14583035	C₄	1	2	yes	—
18	C₄×D₃₄₄	C₂²	1	2	yes	—
19	C₄×D₃₄₄	C₂²	1	2	yes	—
20	#14582978	C₂²	1	2	yes	complemented
21	#14582969	—	2	2	no	—
22	C₈×D₁₇₂	C₂²	1	2	yes	—
23	C₈×D₁₇₂	C₂²	1	2	yes	—
24	C₈×D₁₇₂	C₂²	1	2	yes	complemented
25	#14582964	—	2	2	no	—
26	#14582956	C₂²	1	1	yes	characteristic
27	#14582952	C₂²	1	1	yes	characteristic
28	#14582864	—	2	2	no	—
29	C₂²⋊C₈×D₄₃	—	2	2	no	—
30	#14582652	C₂²	1	2	yes	complemented
31	#14582650	C₂²	1	2	yes	complemented
32	#14582628	C₂²	1	2	yes	—
33	#14582628	C₂²	1	2	yes	—
34	#14582628	C₂²	1	2	yes	complemented
35	#14582628	C₂²	1	2	yes	complemented
36	C₄₃×#431	C₂²	1	1	yes	characteristic
37	C₄₃×#431	C₂²	1	1	yes	characteristic
38	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
39	C₄₃×#322	C₂²	1	1	yes	characteristic, complemented
40	C₄₃×#322	C₂²	1	1	yes	characteristic, complemented
41	C₄₃×#322	C₂²	1	1	yes	characteristic, complemented
42	C₈²×C₄₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#10621898	—	2	1	no	—
44	C₂²×D₁₇₂	C₂×C₄	1	1	yes	characteristic
45	C₂²×C₄×D₄₃	—	2	1	no	—
46	C₂×D₃₄₄	C₂×C₄	1	2	yes	—
47	C₂×D₃₄₄	C₂×C₄	1	2	yes	—
48	C₂×#10621872	—	2	2	no	—
49	C₂×C₈×D₄₃	—	2	2	no	—
50	C₂×C₈×D₄₃	—	2	2	no	—
51	C₂×C₈×D₄₃	—	2	2	no	—
52	#13063325	C₂×C₄	1	1	yes	characteristic
53	#13063322	C₂×C₄	1	1	yes	characteristic
54	#13063313	—	2	1	no	—
55	#13063299	—	2	1	no	—
56	#13063299	C₂×C₄	1	2	yes	—
57	C₄×D₁₇₂	—	2	1	no	—
58	C₄×D₁₇₂	—	2	1	no	—
59	C₄×D₁₇₂	—	2	1	no	—
60	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
61	C₄×D₁₇₂	C₂³	1	2	yes	—
62	C₄×D₁₇₂	C₂³	1	2	yes	—
63	C₂×C₄⋊Dic₄₃	C₂×C₄	1	1	yes	characteristic
64	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
65	#13063259	C₂×C₄	1	2	yes	—
66	#13063259	C₂×C₄	1	2	yes	—
67	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
68	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
69	#13063247	C₂×C₄	1	2	yes	—
70	#13063247	C₂×C₄	1	2	yes	—
71	#13063247	C₂×C₄	1	2	yes	—
72	#13063247	C₂×C₄	1	2	yes	—
73	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
74	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
75	(C₂×D₄₃)⋊C₈	—	2	2	no	—
76	(C₂×D₄₃)⋊C₈	—	2	2	no	—
77	(C₂×D₄₃)⋊C₈	—	2	2	no	—
78	(C₂×D₄₃)⋊C₈	—	2	2	no	—
79	#13063236	—	2	1	no	—
80	C₄×C₄₃⋊C₈	—	2	1	no	—
81	C₂×M₁₆×C₄₃	—	2	1	no	—
82	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
83	C₄⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
84	C₄⋊C₈×C₄₃	D₄	1	2	yes	—
85	C₂²⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
86	C₂²⋊C₈×C₄₃	D₄	1	2	yes	—
87	#97×C₄₃	—	2	1	no	—
88	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
89	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
90	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
91	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
92	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
93	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
94	C₂³×D₄₃	—	2	1	no	—
95	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
96	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
98	C₂×C₂²⋊D₄₃	—	2	2	no	—
99	C₂²×Dic₄₃	—	2	1	no	—
100	#10621898	—	8	2	no	—
101	C₂×D₁₇₂	—	2	1	no	—
102	C₂×D₁₇₂	—	2	4	no	—
103	C₂×D₁₇₂	—	2	1	no	—
104	C₂×D₁₇₂	—	2	1	no	—
105	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
106	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
107	C₂×C₄×D₄₃	—	2	2	no	—
108	C₂×C₄×D₄₃	—	2	2	no	—
109	C₂×C₄×D₄₃	—	2	2	no	—
110	C₂×C₄×D₄₃	—	8	2	no	—
111	C₂×Dic₈₆	—	2	1	no	—
112	M₁₆×C₄₃	—	4	2	no	—
113	C₂×C₈×C₄₃	—	2	1	no	—
114	C₂×C₈×C₄₃	—	2	1	no	—
115	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
116	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
117	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
118	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
119	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
120	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
121	C₄²×C₄₃	#41	1	1	yes	characteristic
122	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
123	(C₂×D₄₃)⋊C₄	—	2	2	no	—
124	(C₂×D₄₃)⋊C₄	—	2	2	no	—
125	(C₂×D₄₃)⋊C₄	—	2	2	no	—
126	(C₂×D₄₃)⋊C₄	—	2	2	no	—
127	C₄⋊Dic₄₃	—	2	1	no	—
128	C₄⋊Dic₄₃	—	2	1	no	—
129	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
130	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
131	C₂×C₄₃⋊C₈	—	2	2	no	—
132	C₂×C₄₃⋊C₈	—	2	2	no	—
133	D₃₄₄	—	2	4	no	—
134	D₃₄₄	—	2	4	no	—
135	#10621872	—	8	2	no	—
136	C₈×D₄₃	—	8	2	no	—
137	C₈×D₄₃	—	8	2	no	—
138	C₈×D₄₃	—	8	2	no	—
139	C₂³×C₄₃	C₄×D₄	1	1	yes	characteristic
140	C₂²×D₄₃	—	2	2	no	—
141	C₂²×D₄₃	—	2	4	no	—
142	C₂²×D₄₃	—	2	2	no	—
143	C₂²×D₄₃	—	8	1	no	—
144	C₂²×D₄₃	—	8	1	no	—
145	C₂×C₄×C₄₃	—	2	2	no	—
146	C₂×C₄×C₄₃	—	2	2	no	—
147	C₂×C₄×C₄₃	—	4	1	no	—
148	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
149	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
150	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
151	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
152	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
154	C₂²⋊D₄₃	—	8	2	no	—
155	C₂×Dic₄₃	—	2	2	no	—
156	C₂×Dic₄₃	—	2	2	no	—
157	C₂×Dic₄₃	—	8	1	no	—
158	D₁₇₂	—	2	4	no	—
159	D₁₇₂	—	2	2	no	—
160	D₁₇₂	—	2	2	no	—
161	D₁₇₂	—	2	2	no	—
162	D₁₇₂	—	8	1	no	—
163	D₁₇₂	—	8	1	no	—
164	D₁₇₂	#131	1	4	yes	—
165	C₄×D₄₃	—	4	2	no	—
166	C₄×D₄₃	—	4	2	no	—
167	C₄×D₄₃	—	4	2	no	—
168	C₄×D₄₃	—	4	2	no	—
169	C₄×D₄₃	—	8	2	no	—
170	Dic₈₆	—	8	1	no	—
171	C₈×C₄₃	—	2	2	no	—
172	C₈×C₄₃	—	2	2	no	—
173	C₈×C₄₃	—	2	2	no	—
174	C₈×C₄₃	—	2	2	no	—
175	C₈×C₄₃	—	2	2	no	—
176	C₈×C₄₃	—	4	1	no	—
177	C₄₃⋊C₈	—	4	2	no	—
178	C₄₃⋊C₈	—	4	2	no	—
179	#17922	—	43	1	no	maximal, Sylow
180	C₂²×C₄₃	—	2	1	no	—
181	C₂²×C₄₃	—	2	1	no	—
182	C₂²×C₄₃	—	2	1	no	—
183	C₂²×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
184	C₂×D₄₃	—	2	4	no	—
185	C₂×D₄₃	—	4	2	no	—
186	C₂×D₄₃	—	4	2	no	—
187	C₂×D₄₃	—	4	2	no	—
188	C₂×D₄₃	—	4	2	no	—
189	C₂×D₄₃	—	4	2	no	—
190	C₂×D₄₃	—	8	4	no	—
191	C₄×C₄₃	—	2	1	no	—
192	C₄×C₄₃	—	2	1	no	—
193	C₄×C₄₃	—	2	1	no	—
194	C₄×C₄₃	—	2	1	no	—
195	C₄×C₄₃	C₂×#131	1	2	yes	—
196	C₄×C₄₃	#576	1	2	yes	—
197	Dic₄₃	—	4	2	no	—
198	Dic₄₃	—	4	2	no	—
199	#3100	—	43	1	no	—
200	#2981	—	43	1	no	—
201	#2972	—	43	1	no	—
202	#1586	—	43	2	no	—
203	#1581	—	43	2	no	—
204	#1580	—	43	2	no	—
205	C₈×D₈	—	43	2	no	—
206	#1572	—	43	1	no	—
207	#1490	—	43	1	no	—
208	#1484	—	43	1	no	—
209	#1453	D₄₃	1	1	yes	characteristic, complemented
210	C₂×C₄₃	—	4	1	no	—
211	C₂×C₄₃	#2929	1	1	yes	characteristic
212	C₂×C₄₃	#2948	1	1	yes	characteristic
213	C₂×C₄₃	#2956	1	1	yes	characteristic
214	D₄₃	—	4	4	no	—
215	D₄₃	—	8	2	no	—
216	#532	—	43	1	no	—
217	C₂×C₄×D₄	—	43	1	no	—
218	#480	—	43	2	no	—
219	#474	—	43	2	no	—
220	#459	—	43	2	no	—
221	#447	—	43	2	no	—
222	C₄×D₈	—	43	2	no	—
223	C₄×D₈	—	43	2	no	—
224	#436	—	43	2	no	—
225	#435	—	86	2	no	—
226	C₈×D₄	—	43	2	no	—
227	C₈×D₄	—	43	2	no	—
228	C₈×D₄	—	43	2	no	—
229	C₈×D₄	—	86	2	no	—
230	#432	—	43	1	no	—
231	#431	—	43	1	no	—
232	#431	C₂×D₄₃	1	1	yes	characteristic
233	#431	C₂×D₄₃	1	1	yes	characteristic
234	#408	—	86	2	no	—
235	C₂×C₂²⋊C₈	—	86	2	no	—
236	C₄×M₁₆	C₂×D₄₃	1	1	yes	characteristic
237	#335	—	43	2	no	—
238	#334	—	43	2	no	—
239	D₄⋊C₈	—	43	2	no	—
240	D₄⋊C₈	—	43	2	no	—
241	D₄⋊C₈	—	43	2	no	—
242	D₄⋊C₈	—	43	2	no	—
243	#322	C₂×D₄₃	1	1	yes	characteristic, complemented
244	#322	C₂×D₄₃	1	1	yes	characteristic, complemented
245	#322	C₂×D₄₃	1	1	yes	characteristic, complemented
246	C₈²	C₂×D₄₃	1	1	yes	characteristic, complemented
247	C₄₃	#17922	1	1	yes	characteristic, complemented, Sylow
248	C₂×#41	—	86	1	no	—
249	C₂²×D₄	—	43	1	no	—
250	C₂³×C₄	—	86	1	no	—
251	C₂×D₈	—	43	2	no	—
252	C₂×D₈	—	43	2	no	—
253	C₂×M₁₆	—	2	1	no	—
254	C₂×M₁₆	—	86	2	no	—
255	C₂²×C₈	—	86	2	no	—
256	C₂²×C₈	—	86	2	no	—
257	C₂²×C₈	—	86	2	no	—
258	C₄⋊Q₈	—	43	1	no	—
259	#127	—	43	1	no	—
260	#124	—	86	1	no	—
261	#121	—	43	2	no	—
262	#121	—	86	1	no	—
263	C₄×D₄	—	43	2	no	—
264	C₄×D₄	—	43	2	no	—
265	C₄×D₄	—	43	2	no	—
266	C₄×D₄	—	86	1	no	—
267	C₄×D₄	—	86	1	no	—
268	C₄×D₄	—	86	1	no	—
269	C₂×C₄⋊C₄	—	43	1	no	—
270	C₂×C₂²⋊C₄	—	86	1	no	—
271	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
272	#107	—	43	2	no	—
273	#107	—	43	2	no	—
274	C₄⋊C₈	—	43	2	no	—
275	C₄⋊C₈	—	43	2	no	—
276	C₄⋊C₈	C₄×D₄₃	1	2	yes	—
277	C₄⋊C₈	D₁₇₂	1	2	yes	—
278	#102	—	43	2	no	—
279	#102	—	43	2	no	—
280	#102	—	43	2	no	—
281	#102	—	43	2	no	—
282	C₂²⋊C₈	—	86	1	no	—
283	C₂²⋊C₈	—	86	1	no	—
284	C₂²⋊C₈	—	86	2	no	—
285	C₂²⋊C₈	—	86	2	no	—
286	C₂²⋊C₈	—	86	2	no	—
287	C₂²⋊C₈	—	86	2	no	—
288	C₂²⋊C₈	C₄×D₄₃	1	2	yes	—
289	C₂²⋊C₈	D₁₇₂	1	2	yes	—
290	#97	—	2	1	no	—
291	#97	—	86	1	no	—
292	C₄×C₈	—	86	1	no	—
293	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
294	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
295	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
296	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
297	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
298	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
299	C₂⁴	—	86	1	no	—
300	#41	—	344	2	no	—
301	C₂×Q₈	—	86	1	no	—
302	C₂×D₄	—	43	2	no	—
303	C₂×D₄	—	43	2	no	—
304	C₂×D₄	—	86	4	no	—
305	C₂×D₄	—	86	2	no	—
306	C₂×D₄	—	86	1	no	—
307	C₂×D₄	—	86	1	no	—
308	C₂×D₄	—	86	1	no	—
309	C₂²×C₄	—	86	1	no	—
310	C₂²×C₄	—	86	2	no	—
311	C₂²×C₄	—	86	2	no	—
312	C₂²×C₄	—	86	2	no	—
313	C₂²×C₄	—	344	2	no	—
314	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
315	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
316	C₂²×C₄	#10621898	1	1	yes	characteristic
317	D₈	—	86	4	no	—
318	D₈	—	86	4	no	—
319	M₁₆	—	4	2	no	—
320	M₁₆	—	344	2	no	—
321	C₂×C₈	—	2	1	no	—
322	C₂×C₈	—	2	1	no	—
323	C₂×C₈	—	86	2	no	—
324	C₂×C₈	—	86	2	no	—
325	C₂×C₈	—	344	2	no	—
326	C₂×C₈	—	344	2	no	—
327	C₂×C₈	—	344	2	no	—
328	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
329	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
330	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
331	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
332	C₄⋊C₄	—	43	2	no	—
333	C₄⋊C₄	—	43	2	no	—
334	C₄⋊C₄	—	86	1	no	—
335	C₄⋊C₄	—	86	1	no	—
336	C₂²⋊C₄	—	86	2	no	—
337	C₂²⋊C₄	—	86	2	no	—
338	C₂²⋊C₄	—	86	2	no	—
339	C₂²⋊C₄	—	86	2	no	—
340	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
341	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
342	C₄²	#10621898	1	1	yes	characteristic
343	C₄²	C₂³×D₄₃	1	1	yes	characteristic
344	C₂³	—	86	4	no	—
345	C₂³	—	86	2	no	—
346	C₂³	—	86	2	no	—
347	C₂³	—	344	1	no	—
348	C₂³	—	344	1	no	—
349	C₂³	C₄×D₁₇₂	1	1	yes	characteristic
350	Q₈	—	344	1	no	—
351	D₄	—	43	4	no	—
352	D₄	—	86	4	no	—
353	D₄	—	86	2	no	—
354	D₄	—	86	2	no	—
355	D₄	—	86	2	no	—
356	D₄	—	344	1	no	—
357	D₄	—	344	1	no	—
358	D₄	—	344	2	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	4	1	no	—
362	C₂×C₄	—	86	2	no	—
363	C₂×C₄	—	86	2	no	—
364	C₂×C₄	—	344	2	no	—
365	C₂×C₄	—	344	1	no	—
366	C₂×C₄	—	172	2	no	—
367	C₂×C₄	—	172	2	no	—
368	C₂×C₄	—	172	2	no	—
369	C₂×C₄	—	172	2	no	—
370	C₂×C₄	C₄×D₁₇₂	1	1	yes	characteristic
371	C₂×C₄	C₄×D₁₇₂	1	1	yes	characteristic
372	C₂×C₄	C₄×D₁₇₂	1	1	yes	characteristic
373	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
374	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
375	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
376	C₈	—	2	2	no	—
377	C₈	—	2	2	no	—
378	C₈	—	2	2	no	—
379	C₈	—	2	2	no	—
380	C₈	—	2	2	no	—
381	C₈	—	4	1	no	—
382	C₈	—	172	2	no	—
383	C₈	—	172	2	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	2	1	no	—
387	C₂²	—	86	4	no	—
388	C₂²	—	344	4	no	—
389	C₂²	—	172	2	no	—
390	C₂²	—	172	2	no	—
391	C₂²	—	172	2	no	—
392	C₂²	—	172	2	no	—
393	C₂²	—	172	2	no	—
394	C₂²	C₂×C₄×D₁₇₂	1	1	yes	characteristic
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	172	2	no	—
400	C₄	—	172	2	no	—
401	C₄	#131×D₄₃	1	2	yes	—
402	C₄	#14583704	1	2	yes	—
403	C₂	—	4	1	no	—
404	C₂	—	344	2	no	—
405	C₂	—	172	4	no	—
406	C₂	#19143291	1	1	yes	characteristic
407	C₂	#19143448	1	1	yes	characteristic
408	C₂	#19143506	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×D₁₇₂
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#1453	C₂
socle	C₂²×C₄₃	C₂×C₄×D₄
prime radical	#19144596	C₂
cosocle	C₄²×C₄₃	C₂⁴
hypercenter	#1453	D₄₃
hypocenter	C₄₃	#17922
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ #431 ◁ #1453

Complements

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

N	H ≅ G/N	type
2. #19143670	C₂	semidirect
3. #19143618	C₂	semidirect
4. #19133461	C₂	semidirect
5. #19133426	C₂	semidirect
6. #19133420	C₂	semidirect
7. C₈×D₃₄₄	C₂	semidirect
8. #19133375	C₂	semidirect
9. #19133039	C₂	semidirect
10. #19133013	C₂	semidirect
11. C₄₃×#1453	C₂	semidirect
20. #14582978	C₂²	semidirect
24. C₈×D₁₇₂	C₂²	semidirect
30. #14582652	C₂²	semidirect
31. #14582650	C₂²	semidirect
34. #14582628	C₂²	semidirect
35. #14582628	C₂²	semidirect
39. C₄₃×#322	C₂²	semidirect
40. C₄₃×#322	C₂²	semidirect
41. C₄₃×#322	C₂²	semidirect
42. C₈²×C₄₃	C₂²	semidirect
209. #1453	D₄₃	semidirect
243. #322	C₂×D₄₃	semidirect
244. #322	C₂×D₄₃	semidirect
245. #322	C₂×D₄₃	semidirect
246. C₈²	C₂×D₄₃	semidirect
247. C₄₃	#17922	semidirect

Maximal subgroups

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

subgroup	index
#19144596	2
#19143670	2
#19143618	2
#19133461	2
#19133426	2
#19133420	2
C₈×D₃₄₄	2
#19133375	2
#19133039	2
#19133013	2
C₄₃×#1453	2
#17922	43