Subgroups — #25080386

Order 11008.

798 conjugacy classes of subgroups.

The subgroup lattice has 398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145174	C₂	1	1	yes	maximal, characteristic, complemented
2	#19144059	C₂	1	2	yes	maximal, complemented
3	#19134032	C₂	1	4	yes	maximal, complemented
4	#19133984	C₂	1	2	yes	maximal, complemented
5	#19133950	C₂	1	2	yes	maximal, complemented
6	#19133354	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133270	C₂	1	2	yes	maximal, complemented
8	C₂×C₈×D₄×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#13063351	—	2	2	no	—
10	#14583449	C₂²	1	2	yes	—
11	#14583304	C₂²	1	1	yes	characteristic, complemented
12	#14583276	C₂²	1	1	yes	characteristic, complemented
13	#14583246	C₂²	1	2	yes	complemented
14	#14583135	—	2	1	no	—
15	#14583135	—	2	1	no	—
16	#14583114	—	2	4	no	—
17	#14583104	C₂²	1	4	yes	—
18	#14583094	C₂²	1	4	yes	—
19	C₄×D₃₄₄	—	2	1	no	—
20	C₄×D₃₄₄	—	2	1	no	—
21	#14582923	C₂²	1	2	yes	—
22	#14582898	—	2	2	no	—
23	#14582652	C₂²	1	2	yes	complemented
24	#14582652	C₂²	1	2	yes	complemented
25	#14582644	C₂²	1	4	yes	complemented
26	#14582642	C₂²	1	4	yes	complemented
27	C₂³×C₈×C₄₃	—	2	1	no	—
28	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
29	C₈×D₄×C₄₃	—	2	1	no	—
30	C₈×D₄×C₄₃	—	2	1	no	—
31	C₈×D₄×C₄₃	C₂²	1	2	yes	—
32	C₈×D₄×C₄₃	C₂²	1	2	yes	—
33	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
34	C₂×C₂²⋊C₈×C₄₃	—	2	1	no	—
35	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
36	C₂×#10621898	—	2	2	no	—
37	#13063351	—	4	8	no	—
38	C₂×#10621883	—	2	4	no	—
39	C₂×D₃₄₄	—	2	1	no	—
40	C₂×D₃₄₄	—	2	1	no	—
41	C₂×#10621882	—	2	4	no	—
42	C₂×#10621877	—	2	2	no	—
43	#13063325	C₂³	1	2	yes	—
44	#13063322	C₂³	1	2	yes	—
45	#13063313	—	2	2	no	—
46	#13063299	—	2	2	no	—
47	#13063299	—	2	2	no	—
48	C₄×D₁₇₂	—	2	2	no	—
49	C₄×D₁₇₂	—	2	2	no	—
50	#13063259	—	2	1	no	—
51	#13063259	—	2	1	no	—
52	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
53	C₄⋊(C₄₃⋊C₈)	C₂³	1	4	yes	—
54	#13063248	—	2	4	no	—
55	#13063247	—	2	2	no	—
56	#13063247	—	2	2	no	—
57	#13063245	—	2	4	no	—
58	C₂²×D₄×C₄₃	D₄	1	1	yes	characteristic
59	C₂³×C₄×C₄₃	—	2	1	no	—
60	C₂²×C₈×C₄₃	—	2	1	no	—
61	C₂²×C₈×C₄₃	—	2	2	no	—
62	C₂²×C₈×C₄₃	—	2	2	no	—
63	C₂²×C₈×C₄₃	—	4	4	no	—
64	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
65	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
66	C₄×D₄×C₄₃	—	2	1	no	—
67	C₄×D₄×C₄₃	—	2	1	no	—
68	C₄×D₄×C₄₃	D₄	1	2	yes	—
69	C₄×D₄×C₄₃	C₂³	1	2	yes	—
70	C₂×C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
71	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
72	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
73	C₄⋊C₈×C₄₃	—	2	1	no	—
74	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
75	C₂²⋊C₈×C₄₃	—	2	2	no	—
76	C₂²⋊C₈×C₄₃	—	2	2	no	—
77	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
78	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
79	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
80	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
81	C₂⁴×C₄₃	—	2	1	no	—
82	C₂×D₄×C₄₃	—	2	1	no	—
83	C₂×D₄×C₄₃	—	2	2	no	—
84	C₂×D₄×C₄₃	D₈	1	4	yes	complemented
85	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
86	C₂²×C₄×C₄₃	—	2	2	no	—
87	C₂²×C₄×C₄₃	—	2	2	no	—
88	C₂²×C₄×C₄₃	—	2	1	no	—
89	C₂²×C₄×C₄₃	—	4	2	no	—
90	C₂²×C₄×C₄₃	—	4	2	no	—
91	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
94	C₂×C₂²⋊D₄₃	—	4	2	no	—
95	#10621898	—	4	4	no	—
96	#10621898	—	4	4	no	—
97	C₂×D₁₇₂	—	2	2	no	—
98	C₂×D₁₇₂	—	2	2	no	—
99	C₂×D₁₇₂	—	2	2	no	—
100	C₂×C₄×D₄₃	—	4	2	no	—
101	C₂×Dic₈₆	—	2	2	no	—
102	C₂×C₈×C₄₃	—	2	2	no	—
103	C₂×C₈×C₄₃	—	2	2	no	—
104	C₂×C₈×C₄₃	—	4	1	no	—
105	C₂×C₈×C₄₃	—	4	4	no	—
106	C₂×C₈×C₄₃	—	4	2	no	—
107	C₂×C₈×C₄₃	—	4	4	no	—
108	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
109	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
110	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
112	C₄⋊C₄×C₄₃	—	2	1	no	—
113	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
114	C₂²⋊C₄×C₄₃	—	2	2	no	—
115	C₂²⋊C₄×C₄₃	—	2	2	no	—
116	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
118	C₄²×C₄₃	#41	1	1	yes	characteristic
119	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
120	#10621883	—	4	8	no	—
121	#10621882	—	4	8	no	—
122	(C₂×D₄₃)⋊C₄	—	4	2	no	—
123	(C₂×D₄₃)⋊C₄	—	4	2	no	—
124	C₄⋊Dic₄₃	—	2	2	no	—
125	C₄⋊Dic₄₃	—	2	2	no	—
126	#10621877	—	4	4	no	—
127	C₂×C₄₃⋊C₈	—	2	4	no	—
128	D₃₄₄	—	4	2	no	—
129	D₃₄₄	—	4	2	no	—
130	C₂³×C₄₃	—	2	2	no	—
131	C₂³×C₄₃	—	2	4	no	—
132	C₂³×C₄₃	—	4	2	no	—
133	C₂³×C₄₃	—	4	2	no	—
134	C₂³×C₄₃	#121	1	1	yes	characteristic
135	C₂²×D₄₃	—	4	2	no	—
136	D₄×C₄₃	—	2	2	no	—
137	D₄×C₄₃	—	2	4	no	—
138	D₄×C₄₃	C₂×D₈	1	4	yes	—
139	C₂×C₄×C₄₃	—	2	1	no	—
140	C₂×C₄×C₄₃	—	2	1	no	—
141	C₂×C₄×C₄₃	—	2	2	no	—
142	C₂×C₄×C₄₃	—	4	1	no	—
143	C₂×C₄×C₄₃	—	4	4	no	—
144	C₂×C₄×C₄₃	—	4	2	no	—
145	C₂×C₄×C₄₃	—	4	2	no	—
146	C₂×C₄×C₄₃	—	4	2	no	—
147	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
148	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
149	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
150	C₂×C₄×C₄₃	C₂×D₈	1	2	yes	—
151	C₂×C₄×C₄₃	#135	1	2	yes	—
152	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
155	C₂²⋊D₄₃	—	8	4	no	—
156	C₂×Dic₄₃	—	4	2	no	—
157	D₁₇₂	—	4	2	no	—
158	D₁₇₂	—	4	2	no	—
159	D₁₇₂	—	4	2	no	—
160	D₁₇₂	—	4	2	no	—
161	D₁₇₂	—	8	2	no	—
162	C₄×D₄₃	—	8	4	no	—
163	Dic₈₆	—	4	2	no	—
164	Dic₈₆	—	4	2	no	—
165	C₈×C₄₃	—	2	1	no	—
166	C₈×C₄₃	—	2	1	no	—
167	C₈×C₄₃	—	2	1	no	—
168	C₈×C₄₃	—	4	2	no	—
169	C₈×C₄₃	AGL(1,ℤ/8)	1	2	yes	complemented
170	C₄₃⋊C₈	—	4	4	no	—
171	#19255	—	43	1	no	maximal, Sylow
172	C₂²×C₄₃	—	2	1	no	—
173	C₂²×C₄₃	—	2	1	no	—
174	C₂²×C₄₃	—	2	4	no	—
175	C₂²×C₄₃	—	4	8	no	—
176	C₂²×C₄₃	—	4	2	no	—
177	C₂²×C₄₃	—	4	2	no	—
178	C₂²×C₄₃	#466	1	2	yes	—
179	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
180	C₂×D₄₃	—	8	2	no	—
181	C₂×D₄₃	—	8	2	no	—
182	C₂×D₄₃	—	8	2	no	—
183	C₄×C₄₃	—	2	1	no	—
184	C₄×C₄₃	—	2	1	no	—
185	C₄×C₄₃	—	2	1	no	—
186	C₄×C₄₃	—	4	2	no	—
187	C₄×C₄₃	#466	1	2	yes	—
188	C₄×C₄₃	C₂²×D₈	1	1	yes	characteristic
189	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
190	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
191	C₄×C₄₃	#575	1	1	yes	characteristic
192	Dic₄₃	—	8	2	no	—
193	#3169	—	43	1	no	—
194	#3036	—	43	2	no	—
195	C₂×C₈×D₄	D₄₃	1	1	yes	characteristic, complemented
196	#1681	—	43	4	no	—
197	#1673	—	43	2	no	—
198	#1667	—	43	2	no	—
199	#1567	—	43	1	no	—
200	#1547	—	43	2	no	—
201	C₂×C₄₃	—	2	2	no	—
202	C₂×C₄₃	—	4	4	no	—
203	C₂×C₄₃	#3036	1	1	yes	characteristic
204	C₂×C₄₃	C₂×#466	1	1	yes	characteristic
205	C₂×C₄₃	#3067	1	1	yes	characteristic
206	D₄₃	—	16	2	no	—
207	C₂×AGL(1,ℤ/8)	—	86	2	no	—
208	C₂³×C₈	—	2	1	no	—
209	#532	—	43	2	no	—
210	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
211	#500	—	43	1	no	—
212	#493	—	43	1	no	—
213	#486	—	43	2	no	—
214	#466	—	86	1	no	—
215	#466	—	86	1	no	—
216	#463	—	86	4	no	—
217	#461	—	43	4	no	—
218	#459	—	43	4	no	—
219	C₄×D₈	—	86	1	no	—
220	C₄×D₈	—	86	1	no	—
221	C₈×D₄	—	2	1	no	—
222	C₈×D₄	—	2	1	no	—
223	C₈×D₄	C₂×D₄₃	1	2	yes	—
224	C₈×D₄	C₂×D₄₃	1	2	yes	—
225	#423	—	43	2	no	—
226	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
227	#417	—	86	2	no	—
228	C₂×C₂²⋊C₈	—	2	1	no	—
229	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
230	#335	—	43	2	no	—
231	#335	—	43	2	no	—
232	#332	—	43	4	no	—
233	#331	—	43	4	no	—
234	C₄₃	#19255	1	1	yes	characteristic, complemented, Sylow
235	C₂×#41	—	86	2	no	—
236	C₂²×D₄	D₁₇₂	1	1	yes	characteristic
237	C₂³×C₄	—	2	1	no	—
238	AGL(1,ℤ/8)	—	172	8	no	—
239	C₂×SD₁₆	—	86	4	no	—
240	C₂×D₈	—	86	4	no	—
241	C₂×D₈	—	86	1	no	—
242	C₂×D₈	—	86	1	no	—
243	C₂×M₁₆	—	86	2	no	—
244	C₂²×C₈	—	2	1	no	—
245	C₂²×C₈	—	2	2	no	—
246	C₂²×C₈	—	2	2	no	—
247	C₂²×C₈	—	4	4	no	—
248	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
249	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
250	C₄⋊Q₈	—	43	2	no	—
251	#127	—	43	2	no	—
252	#124	—	86	2	no	—
253	#121	—	86	2	no	—
254	#121	—	86	2	no	—
255	C₄×D₄	—	2	1	no	—
256	C₄×D₄	—	2	1	no	—
257	C₄×D₄	—	86	2	no	—
258	C₄×D₄	—	86	2	no	—
259	C₄×D₄	D₁₇₂	1	2	yes	—
260	C₄×D₄	C₂²×D₄₃	1	2	yes	—
261	C₂×C₄⋊C₄	D₁₇₂	1	1	yes	characteristic
262	C₂×C₂²⋊C₄	—	2	1	no	—
263	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
264	#107	—	86	1	no	—
265	#107	—	86	1	no	—
266	C₄⋊C₈	—	2	1	no	—
267	C₄⋊C₈	—	43	4	no	—
268	C₄⋊C₈	—	86	2	no	—
269	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
270	#103	—	86	4	no	—
271	#102	—	86	2	no	—
272	#102	—	86	2	no	—
273	#102	—	86	4	no	—
274	C₂²⋊C₈	—	2	2	no	—
275	C₂²⋊C₈	—	2	2	no	—
276	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
277	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
278	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
279	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
280	C₂⁴	—	2	1	no	—
281	#41	—	172	4	no	—
282	#41	—	172	4	no	—
283	C₂×Q₈	—	86	2	no	—
284	C₂×D₄	—	2	1	no	—
285	C₂×D₄	—	2	2	no	—
286	C₂×D₄	—	86	2	no	—
287	C₂×D₄	—	86	2	no	—
288	C₂×D₄	—	86	2	no	—
289	C₂×D₄	—	172	2	no	—
290	C₂×D₄	D₃₄₄	1	4	yes	complemented
291	C₂×D₄	C₂×D₁₇₂	1	2	yes	—
292	C₂²×C₄	—	2	1	no	—
293	C₂²×C₄	—	2	2	no	—
294	C₂²×C₄	—	2	2	no	—
295	C₂²×C₄	—	4	2	no	—
296	C₂²×C₄	—	4	2	no	—
297	C₂²×C₄	—	172	2	no	—
298	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
299	C₂²×C₄	#10621898	1	1	yes	characteristic
300	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
301	SD₁₆	—	172	8	no	—
302	D₈	—	172	2	no	—
303	D₈	—	172	8	no	—
304	D₈	—	172	2	no	—
305	M₁₆	—	172	4	no	—
306	C₂×C₈	—	2	2	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	4	1	no	—
309	C₂×C₈	—	4	4	no	—
310	C₂×C₈	—	4	2	no	—
311	C₂×C₈	—	4	4	no	—
312	C₂×C₈	—	86	4	no	—
313	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
314	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
315	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
316	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
317	C₄⋊C₄	—	2	1	no	—
318	C₄⋊C₄	—	86	2	no	—
319	C₄⋊C₄	—	86	2	no	—
320	C₄⋊C₄	C₂×D₁₇₂	1	2	yes	—
321	C₂²⋊C₄	—	2	2	no	—
322	C₂²⋊C₄	—	2	2	no	—
323	C₂²⋊C₄	—	172	2	no	—
324	C₂²⋊C₄	—	172	2	no	—
325	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
326	C₄²	#10621898	1	1	yes	characteristic
327	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
328	C₄²	C₂³×D₄₃	1	1	yes	characteristic
329	C₂³	—	2	4	no	—
330	C₂³	—	2	2	no	—
331	C₂³	—	4	2	no	—
332	C₂³	—	4	2	no	—
333	C₂³	—	172	2	no	—
334	C₂³	#13063299	1	1	yes	characteristic
335	Q₈	—	172	2	no	—
336	Q₈	—	172	2	no	—
337	D₄	—	2	4	no	—
338	D₄	—	2	2	no	—
339	D₄	—	344	2	no	—
340	D₄	—	344	4	no	—
341	D₄	—	172	2	no	—
342	D₄	—	172	2	no	—
343	D₄	—	172	2	no	—
344	D₄	—	172	2	no	—
345	D₄	C₂×D₃₄₄	1	4	yes	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	2	1	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	4	4	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	344	4	no	—
355	C₂×C₄	—	172	2	no	—
356	C₂×C₄	#13063299	1	1	yes	characteristic
357	C₂×C₄	#13063299	1	1	yes	characteristic
358	C₂×C₄	#13063299	1	1	yes	characteristic
359	C₂×C₄	C₂×D₃₄₄	1	2	yes	—
360	C₂×C₄	#13063347	1	2	yes	—
361	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
362	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
363	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
364	C₈	—	2	1	no	—
365	C₈	—	2	1	no	—
366	C₈	—	2	1	no	—
367	C₈	—	4	2	no	—
368	C₈	—	172	4	no	—
369	C₈	#13063351	1	2	yes	complemented
370	C₂²	—	2	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	4	no	—
373	C₂²	—	4	8	no	—
374	C₂²	—	4	2	no	—
375	C₂²	—	4	2	no	—
376	C₂²	—	344	2	no	—
377	C₂²	—	344	2	no	—
378	C₂²	—	344	2	no	—
379	C₂²	#14583135	1	2	yes	—
380	C₂²	C₂×#13063299	1	1	yes	characteristic
381	C₄	—	2	1	no	—
382	C₄	—	2	1	no	—
383	C₄	—	2	1	no	—
384	C₄	—	4	2	no	—
385	C₄	—	344	2	no	—
386	C₄	#14583135	1	2	yes	—
387	C₄	C₂²×D₃₄₄	1	1	yes	characteristic
388	C₄	C₂×#13063347	1	1	yes	characteristic
389	C₄	C₂×#13063351	1	1	yes	characteristic
390	C₄	#14583697	1	1	yes	characteristic
391	C₂	—	2	2	no	—
392	C₂	—	4	4	no	—
393	C₂	—	688	2	no	—
394	C₂	#19144059	1	1	yes	characteristic
395	C₂	C₂×#14583135	1	1	yes	characteristic
396	C₂	#19144315	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063299
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₂×C₈×D₄×C₄₃	C₂
socle	C₂²×C₄₃	C₂×#121
hypercenter	C₂×C₈×D₄	D₄₃
hypocenter	C₄₃	#19255
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×C₈×D₄

Complements

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

N	H ≅ G/N	type
1. #19145174	C₂	semidirect
2. #19144059	C₂	semidirect
3. #19134032	C₂	semidirect
4. #19133984	C₂	semidirect
5. #19133950	C₂	semidirect
6. #19133354	C₂	semidirect
7. #19133270	C₂	semidirect
8. C₂×C₈×D₄×C₄₃	C₂	semidirect
11. #14583304	C₂²	semidirect
12. #14583276	C₂²	semidirect
13. #14583246	C₂²	semidirect
23. #14582652	C₂²	semidirect
24. #14582652	C₂²	semidirect
25. #14582644	C₂²	semidirect
26. #14582642	C₂²	semidirect
84. C₂×D₄×C₄₃	D₈	semidirect
169. C₈×C₄₃	AGL(1,ℤ/8)	semidirect
195. C₂×C₈×D₄	D₄₃	semidirect
234. C₄₃	#19255	semidirect
290. C₂×D₄	D₃₄₄	semidirect
369. C₈	#13063351	semidirect

Maximal subgroups

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

subgroup	index
#19145174	2
#19144059	2
#19134032	2
#19133984	2
#19133950	2
#19133354	2
#19133270	2
C₂×C₈×D₄×C₄₃	2
#19255	43