Subgroups — #25104690

Order 11008.

882 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583264	C₂	1	1	yes	maximal, characteristic
2	#19137336	C₂	1	1	yes	maximal, characteristic, complemented
3	#19137320	C₂	1	1	yes	maximal, characteristic
4	#19135560	C₂	1	1	yes	maximal, characteristic, complemented
5	#19135401	C₂	1	1	yes	maximal, characteristic
6	#19135292	C₂	1	2	yes	maximal, complemented
7	#19135278	C₂	1	2	yes	maximal, complemented
8	#19134729	C₂	1	1	yes	maximal, characteristic, complemented
9	#19134421	C₂	1	2	yes	maximal, complemented
10	C₄×#13063247	C₂	1	2	yes	maximal, complemented
11	C₄₃×#1726	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13063322	C₂²	1	1	yes	characteristic
13	C₂×#13063317	C₂²	1	1	yes	characteristic
14	C₂×C₄×D₁₇₂	C₂²	1	2	yes	—
15	#14583264	C₄	1	8	yes	complemented
16	C₂×#13063247	C₂²	1	2	yes	—
17	C₂×#13063247	C₂²	1	2	yes	—
18	C₂×#13063247	C₂²	1	2	yes	—
19	C₂×#13063247	C₂²	1	2	yes	—
20	#14582801	C₂²	1	2	yes	—
21	#14582797	C₂²	1	2	yes	—
22	#14582796	—	2	2	no	—
23	#14582786	—	2	2	no	—
24	#14582777	—	2	2	no	—
25	#14582777	—	2	2	no	—
26	#14582769	C₂²	1	1	yes	characteristic
27	#14582765	C₂²	1	1	yes	characteristic
28	C₄×C₄⋊Dic₄₃	C₂²	1	2	yes	—
29	#14582662	C₂²	1	2	yes	—
30	#14582662	C₂²	1	2	yes	—
31	#14582662	C₂²	1	2	yes	—
32	#14582662	C₂²	1	2	yes	—
33	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
34	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
35	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
39	C₄₃×#376	C₂²	1	1	yes	characteristic
40	C₂²×D₁₇₂	—	2	2	no	—
41	C₂²×D₁₇₂	C₂³	1	2	yes	—
42	C₂²×C₄×D₄₃	—	2	2	no	—
43	#13063322	—	2	2	no	—
44	#13063322	C₂×C₄	1	4	yes	—
45	#13063317	—	2	2	no	—
46	#13063317	C₂×C₄	1	4	yes	complemented
47	C₄×D₁₇₂	—	2	4	no	—
48	C₄×D₁₇₂	—	2	4	no	—
49	C₂×C₄⋊Dic₄₃	—	2	2	no	—
50	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
51	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
52	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
53	C₂×Dic₄₃⋊C₄	—	2	2	no	—
54	C₂×Dic₄₃⋊C₄	—	2	2	no	—
55	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
56	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
57	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
58	C₂×C₄×Dic₄₃	—	2	2	no	—
59	#13063247	—	2	4	no	—
60	#13063247	—	2	4	no	—
61	#13063247	C₂×C₄	1	8	yes	complemented
62	#13063247	C₂×C₄	1	8	yes	complemented
63	C₄₃⋊#95	—	2	2	no	—
64	C₄₃⋊#95	—	2	2	no	—
65	C₄₃⋊#95	—	2	2	no	—
66	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
67	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
68	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
69	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
70	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
71	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
72	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
73	#97×C₄₃	—	2	2	no	—
74	#97×C₄₃	—	2	2	no	—
75	#97×C₄₃	C₂×C₄	1	4	yes	complemented
76	C₄×C₈×C₄₃	—	2	2	no	—
77	C₄×C₈×C₄₃	—	2	2	no	—
78	C₄×C₈×C₄₃	—	2	2	no	—
79	#95×C₄₃	D₄	1	2	yes	—
80	#95×C₄₃	D₄	1	2	yes	—
81	C₂³×D₄₃	—	2	2	no	—
82	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
83	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
85	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
86	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
87	C₂²×Dic₄₃	—	2	2	no	—
88	C₂²×Dic₄₃	—	2	2	no	—
89	C₂²×Dic₄₃	—	2	2	no	—
90	C₂×D₁₇₂	—	2	2	no	—
91	C₂×D₁₇₂	—	2	8	no	—
92	C₂×D₁₇₂	—	2	2	no	—
93	C₂×D₁₇₂	—	2	2	no	—
94	C₂×D₁₇₂	—	2	2	no	—
95	C₂×D₁₇₂	—	2	2	no	—
96	C₂×D₁₇₂	—	8	2	no	—
97	C₂×D₁₇₂	—	8	2	no	—
98	C₂×D₁₇₂	C₂²×C₄	1	4	yes	—
99	C₂×C₄×D₄₃	—	4	4	no	—
100	C₂×C₄×D₄₃	—	8	2	no	—
101	C₂×C₄×D₄₃	—	8	2	no	—
102	C₂×C₈×C₄₃	—	2	1	no	—
103	C₂×C₈×C₄₃	—	2	1	no	—
104	C₂×C₈×C₄₃	—	2	1	no	—
105	C₂×C₈×C₄₃	—	2	1	no	—
106	C₂×C₈×C₄₃	—	2	1	no	—
107	C₂×C₈×C₄₃	—	2	1	no	—
108	C₂×C₈×C₄₃	—	2	1	no	—
109	C₂×C₈×C₄₃	—	2	1	no	—
110	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
111	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
112	C₂×C₈×C₄₃	#41	1	2	yes	—
113	C₂×C₈×C₄₃	#41	1	2	yes	—
114	C₄²×C₄₃	—	2	1	no	—
115	C₄²×C₄₃	—	2	1	no	—
116	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
117	C₄²×C₄₃	#41	1	2	yes	—
118	C₄²×C₄₃	#41	1	2	yes	—
119	C₄²×C₄₃	#41	1	2	yes	—
120	(C₂×D₄₃)⋊C₄	—	4	4	no	—
121	(C₂×D₄₃)⋊C₄	—	8	2	no	—
122	(C₂×D₄₃)⋊C₄	—	8	2	no	—
123	C₄⋊Dic₄₃	—	2	2	no	—
124	C₄⋊Dic₄₃	—	2	2	no	—
125	C₄⋊Dic₄₃	—	2	2	no	—
126	C₄⋊Dic₄₃	—	2	2	no	—
127	C₄⋊Dic₄₃	—	2	2	no	—
128	C₄⋊Dic₄₃	—	8	2	no	—
129	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
130	Dic₄₃⋊C₄	—	2	8	no	—
131	Dic₄₃⋊C₄	—	8	2	no	—
132	C₄×Dic₄₃	—	8	2	no	—
133	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
134	C₂²×D₄₃	—	2	4	no	—
135	C₂²×D₄₃	—	4	2	no	—
136	C₂²×D₄₃	—	4	2	no	—
137	C₂²×D₄₃	—	4	2	no	—
138	C₂²×D₄₃	—	4	2	no	—
139	C₂²×D₄₃	—	4	2	no	—
140	C₂²×D₄₃	—	4	2	no	—
141	C₂×C₄×C₄₃	—	2	2	no	—
142	C₂×C₄×C₄₃	—	2	2	no	—
143	C₂×C₄×C₄₃	—	2	2	no	—
144	C₂×C₄×C₄₃	—	2	2	no	—
145	C₂×C₄×C₄₃	—	2	1	no	—
146	C₂×C₄×C₄₃	—	2	1	no	—
147	C₂×C₄×C₄₃	—	2	2	no	—
148	C₂×C₄×C₄₃	—	2	2	no	—
149	C₂×C₄×C₄₃	C₄×D₄	1	4	yes	—
150	C₂×C₄×C₄₃	#124	1	4	yes	—
151	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
152	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
154	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
155	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
156	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
157	C₂×Dic₄₃	—	2	4	no	—
158	C₂×Dic₄₃	—	4	2	no	—
159	C₂×Dic₄₃	—	4	2	no	—
160	C₂×Dic₄₃	—	4	2	no	—
161	C₂×Dic₄₃	—	4	2	no	—
162	C₂×Dic₄₃	—	4	2	no	—
163	C₂×Dic₄₃	—	4	2	no	—
164	C₂×Dic₄₃	—	4	2	no	—
165	C₂×Dic₄₃	—	4	2	no	—
166	D₁₇₂	—	2	4	no	—
167	D₁₇₂	—	2	4	no	—
168	D₁₇₂	—	4	2	no	—
169	D₁₇₂	—	4	2	no	—
170	D₁₇₂	—	8	8	no	—
171	C₄×D₄₃	—	8	8	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	#21652	—	43	1	no	maximal, Sylow
177	C₂²×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
178	C₂²×C₄₃	C₂×#124	1	1	yes	characteristic
179	C₂²×C₄₃	#532	1	1	yes	characteristic
180	C₂²×C₄₃	#576	1	2	yes	—
181	C₂²×C₄₃	#577	1	2	yes	—
182	C₂×D₄₃	—	4	4	no	—
183	C₂×D₄₃	—	4	4	no	—
184	C₂×D₄₃	—	4	4	no	—
185	C₂×D₄₃	—	8	2	no	—
186	C₂×D₄₃	—	8	2	no	—
187	C₂×D₄₃	—	8	2	no	—
188	C₂×D₄₃	—	8	2	no	—
189	C₄×C₄₃	—	2	4	no	—
190	C₄×C₄₃	—	2	4	no	—
191	C₄×C₄₃	—	4	1	no	—
192	C₄×C₄₃	—	4	1	no	—
193	C₄×C₄₃	C₄×#41	1	1	yes	characteristic
194	C₄×C₄₃	C₄×#41	1	1	yes	characteristic
195	C₄×C₄₃	#529	1	1	yes	characteristic
196	C₄×C₄₃	#529	1	1	yes	characteristic
197	Dic₄₃	—	4	4	no	—
198	Dic₄₃	—	8	2	no	—
199	Dic₄₃	—	8	2	no	—
200	C₂×#490	—	43	1	no	—
201	#2330	—	43	1	no	—
202	#2328	—	43	1	no	—
203	#1991	—	43	1	no	—
204	#1957	—	43	1	no	—
205	#1936	—	43	2	no	—
206	#1934	—	43	2	no	—
207	#1836	—	43	1	no	—
208	#1762	—	43	2	no	—
209	C₄×#102	—	43	2	no	—
210	#1726	D₄₃	1	1	yes	characteristic, complemented
211	C₂×C₄₃	C₄×#124	1	1	yes	characteristic
212	C₂×C₄₃	#2946	1	2	yes	—
213	C₂×C₄₃	#3136	1	2	yes	—
214	C₂×C₄₃	#3174	1	1	yes	characteristic
215	C₂×C₄₃	#3176	1	1	yes	characteristic
216	D₄₃	—	8	4	no	—
217	C₂×#127	—	43	1	no	—
218	C₂×#125	—	43	1	no	—
219	C₂×C₄×D₄	—	43	2	no	—
220	#490	—	43	8	no	—
221	C₂×#102	—	43	2	no	—
222	C₂×#102	—	43	2	no	—
223	C₂×#102	—	43	2	no	—
224	C₂×#102	—	43	2	no	—
225	C₂×#97	C₂×D₄₃	1	1	yes	characteristic
226	C₂×#97	C₂×D₄₃	1	1	yes	characteristic
227	C₂×#97	C₂×D₄₃	1	1	yes	characteristic
228	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
229	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
230	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
231	#390	—	43	2	no	—
232	#389	—	43	2	no	—
233	#389	—	86	2	no	—
234	#387	—	86	2	no	—
235	#386	—	86	2	no	—
236	#386	—	86	2	no	—
237	#384	—	43	1	no	—
238	#382	—	43	1	no	—
239	C₄×C₄⋊C₄	—	43	2	no	—
240	#376	C₂×D₄₃	1	1	yes	characteristic
241	#340	—	43	2	no	—
242	#340	—	43	2	no	—
243	#340	—	43	2	no	—
244	#340	—	43	2	no	—
245	C₄₃	#21652	1	1	yes	characteristic, complemented, Sylow
246	C₂²×D₄	—	43	2	no	—
247	C₂²×D₄	—	86	2	no	—
248	C₂³×C₄	—	86	2	no	—
249	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
250	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
251	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
252	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
253	#127	—	43	4	no	—
254	#127	—	86	2	no	—
255	#125	—	43	4	no	—
256	#125	—	86	2	no	—
257	C₄×D₄	—	86	4	no	—
258	C₄×D₄	—	86	4	no	—
259	C₂×C₄⋊C₄	—	43	2	no	—
260	C₂×C₄⋊C₄	—	43	2	no	—
261	C₂×C₄⋊C₄	—	43	2	no	—
262	C₂×C₄⋊C₄	—	86	2	no	—
263	C₂×C₄⋊C₄	—	86	2	no	—
264	C₂×C₄⋊C₄	—	86	2	no	—
265	C₂×C₂²⋊C₄	—	86	2	no	—
266	C₂×C₂²⋊C₄	—	86	2	no	—
267	C₂×C₂²⋊C₄	—	86	2	no	—
268	C₂×C₄²	—	86	2	no	—
269	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
270	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
271	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
272	#102	—	43	8	no	—
273	#102	—	43	8	no	—
274	#102	—	86	4	no	—
275	#102	—	86	4	no	—
276	#97	—	2	2	no	—
277	#97	—	2	2	no	—
278	#97	C₄×D₄₃	1	4	yes	complemented
279	C₄×C₈	—	2	2	no	—
280	C₄×C₈	—	2	2	no	—
281	C₄×C₈	—	2	2	no	—
282	#95	—	86	2	no	—
283	#95	—	86	2	no	—
284	#95	—	86	2	no	—
285	#95	D₁₇₂	1	2	yes	—
286	#95	D₁₇₂	1	2	yes	—
287	C₂⁴	—	86	2	no	—
288	C₂×D₄	—	43	4	no	—
289	C₂×D₄	—	86	8	no	—
290	C₂×D₄	—	86	2	no	—
291	C₂×D₄	—	86	2	no	—
292	C₂×D₄	—	86	2	no	—
293	C₂×D₄	—	86	2	no	—
294	C₂×D₄	—	86	2	no	—
295	C₂×D₄	—	344	2	no	—
296	C₂×D₄	—	344	2	no	—
297	C₂²×C₄	—	86	2	no	—
298	C₂²×C₄	—	86	2	no	—
299	C₂²×C₄	—	86	2	no	—
300	C₂²×C₄	—	344	2	no	—
301	C₂²×C₄	—	344	2	no	—
302	C₂²×C₄	—	172	4	no	—
303	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
304	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
305	C₂²×C₄	C₂×D₁₇₂	1	2	yes	—
306	C₂²×C₄	C₂×D₁₇₂	1	2	yes	—
307	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	2	1	no	—
310	C₂×C₈	—	2	1	no	—
311	C₂×C₈	—	2	1	no	—
312	C₂×C₈	—	2	1	no	—
313	C₂×C₈	—	2	1	no	—
314	C₂×C₈	—	2	1	no	—
315	C₂×C₈	—	2	1	no	—
316	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
317	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
318	C₂×C₈	#10621898	1	2	yes	—
319	C₂×C₈	#10621898	1	2	yes	—
320	C₄⋊C₄	—	43	4	no	—
321	C₄⋊C₄	—	86	8	no	—
322	C₄⋊C₄	—	86	2	no	—
323	C₄⋊C₄	—	86	2	no	—
324	C₄⋊C₄	—	86	2	no	—
325	C₄⋊C₄	—	86	2	no	—
326	C₄⋊C₄	—	86	2	no	—
327	C₄⋊C₄	—	344	2	no	—
328	C₄⋊C₄	—	344	2	no	—
329	C₂²⋊C₄	—	344	2	no	—
330	C₂²⋊C₄	—	344	2	no	—
331	C₂²⋊C₄	—	172	4	no	—
332	C₄²	—	2	1	no	—
333	C₄²	—	2	1	no	—
334	C₄²	—	344	2	no	—
335	C₄²	C₂×C₄×D₄₃	1	2	yes	—
336	C₄²	#10621898	1	2	yes	—
337	C₄²	#10621898	1	2	yes	—
338	C₄²	#10621898	1	2	yes	—
339	C₂³	—	86	4	no	—
340	C₂³	—	172	2	no	—
341	C₂³	—	172	2	no	—
342	C₂³	—	172	2	no	—
343	C₂³	—	172	2	no	—
344	C₂³	—	172	2	no	—
345	C₂³	—	172	2	no	—
346	C₂³	C₂²×D₁₇₂	1	1	yes	characteristic
347	D₄	—	86	4	no	—
348	D₄	—	86	4	no	—
349	D₄	—	344	8	no	—
350	D₄	—	172	2	no	—
351	D₄	—	172	2	no	—
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	2	2	no	—
355	C₂×C₄	—	2	2	no	—
356	C₂×C₄	—	2	2	no	—
357	C₂×C₄	—	2	1	no	—
358	C₂×C₄	—	2	1	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	86	4	no	—
361	C₂×C₄	—	344	8	no	—
362	C₂×C₄	—	172	2	no	—
363	C₂×C₄	—	172	2	no	—
364	C₂×C₄	—	172	2	no	—
365	C₂×C₄	—	172	2	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	4	yes	—
371	C₂×C₄	#13063313	1	4	yes	—
372	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
373	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
374	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
375	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
376	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
377	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
378	C₈	—	2	2	no	—
379	C₈	—	2	2	no	—
380	C₈	—	2	2	no	—
381	C₈	—	2	2	no	—
382	C₂²	—	344	2	no	—
383	C₂²	—	344	2	no	—
384	C₂²	—	344	2	no	—
385	C₂²	—	344	2	no	—
386	C₂²	—	172	4	no	—
387	C₂²	—	172	4	no	—
388	C₂²	—	172	4	no	—
389	C₂²	C₂×C₄×D₁₇₂	1	1	yes	characteristic
390	C₂²	C₂×#13063313	1	1	yes	characteristic
391	C₂²	#14583449	1	1	yes	characteristic
392	C₂²	#14583704	1	2	yes	—
393	C₂²	#14583711	1	2	yes	—
394	C₄	—	2	4	no	—
395	C₄	—	2	4	no	—
396	C₄	—	4	1	no	—
397	C₄	—	4	1	no	—
398	C₄	—	344	2	no	—
399	C₄	—	344	2	no	—
400	C₄	—	172	4	no	—
401	C₄	C₄×#10621898	1	1	yes	characteristic
402	C₄	C₄×#10621898	1	1	yes	characteristic
403	C₄	#14583433	1	1	yes	characteristic
404	C₄	#14583433	1	1	yes	characteristic
405	C₂	—	344	4	no	—
406	C₂	C₄×#13063313	1	1	yes	characteristic
407	C₂	#19143429	1	2	yes	—
408	C₂	#19144951	1	2	yes	—
409	C₂	#19145223	1	1	yes	characteristic
410	C₂	#19145245	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂²×D₁₇₂
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₃
Fitting	C₄₃×#1726	C₂
socle	C₂³×C₄₃	C₂²×D₄
prime radical	C₂×#13063322	C₂²
cosocle	C₂²×C₄×C₄₃	C₂⁴
hypercenter	#1726	D₄₃
hypocenter	C₄₃	#21652
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #376 ◁ #1726

Complements

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

N	H ≅ G/N	type
2. #19137336	C₂	semidirect
4. #19135560	C₂	semidirect
6. #19135292	C₂	semidirect
7. #19135278	C₂	semidirect
8. #19134729	C₂	semidirect
9. #19134421	C₂	semidirect
10. C₄×#13063247	C₂	semidirect
11. C₄₃×#1726	C₂	semidirect
15. #14583264	C₄	semidirect
46. #13063317	C₂×C₄	semidirect
61. #13063247	C₂×C₄	semidirect
62. #13063247	C₂×C₄	semidirect
75. #97×C₄₃	C₂×C₄	semidirect
210. #1726	D₄₃	semidirect
245. C₄₃	#21652	semidirect
278. #97	C₄×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583264	2
#19137336	2
#19137320	2
#19135560	2
#19135401	2
#19135292	2
#19135278	2
#19134729	2
#19134421	2
C₄×#13063247	2
C₄₃×#1726	2
#21652	43