Subgroups — #14575154

Order 2432.

500 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	C₂×#10597358	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927193	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927188	C₂	1	1	yes	maximal, characteristic, complemented
4	#11926935	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926802	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926770	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926757	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926747	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926706	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926703	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926695	C₂	1	1	yes	maximal, characteristic, complemented
12	#11926686	C₂	1	1	yes	maximal, characteristic, complemented
13	#11926656	C₂	1	1	yes	maximal, characteristic, complemented
14	#11926613	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₉×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic
17	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×#64543	C₂²	1	1	yes	characteristic
19	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
20	C₁₉×AGL(1,ℤ/8)	—	2	4	no	—
21	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
22	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
23	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic
24	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic
25	C₂×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
26	#10597399	—	2	1	no	—
27	C₂×C₂²⋊Dic₁₉	—	2	1	no	—
28	#10597392	C₂²	1	1	yes	characteristic, complemented
29	#10597390	C₂²	1	1	yes	characteristic, complemented
30	C₂×#64528	C₂²	1	1	yes	characteristic, complemented
31	#10597385	—	2	1	no	—
32	#10597385	—	2	1	no	—
33	#10597384	C₂²	1	1	yes	characteristic
34	#10597382	C₂²	1	1	yes	characteristic
35	#10597381	—	2	1	no	—
36	#10597381	—	2	1	no	—
37	D₄×Dic₁₉	C₂²	1	1	yes	characteristic
38	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×#64526	C₂²	1	1	yes	characteristic
40	C₂×#64526	C₂²	1	1	yes	characteristic
41	C₂×#64526	C₂²	1	1	yes	characteristic, complemented
42	#10597375	—	2	1	no	—
43	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
44	#10597370	C₂²	1	1	yes	characteristic
45	#10597370	C₂²	1	1	yes	characteristic
46	C₂×Dic₁₉⋊C₄	—	2	1	no	—
47	#10597358	—	2	4	no	—
48	C₂×Dic₇₆	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₈×D₁₉	C₂²	1	1	yes	characteristic, complemented
50	#10597292	C₂²	1	1	yes	characteristic, complemented
51	#10597289	C₂²	1	1	yes	characteristic
52	#10597289	C₂²	1	1	yes	characteristic
53	#10597289	C₂²	1	1	yes	characteristic, complemented
54	C₂²⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
55	(C₂×D₁₉)⋊C₈	C₂²	1	1	yes	characteristic, complemented
56	#10597274	C₂²	1	1	yes	characteristic, complemented
57	#10597273	C₂²	1	1	yes	characteristic, complemented
58	#10597273	C₂²	1	1	yes	characteristic, complemented
59	#10597272	C₂²	1	1	yes	characteristic, complemented
60	Dic₁₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
61	C₂⁴×C₁₉	—	2	1	no	—
62	#41×C₁₉	—	2	2	no	—
63	#41×C₁₉	—	4	1	no	—
64	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
65	C₂×D₄×C₁₉	—	2	2	no	—
66	C₂×D₄×C₁₉	—	2	1	no	—
67	C₂×D₄×C₁₉	—	2	1	no	—
68	C₂×D₄×C₁₉	—	4	1	no	—
69	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
70	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
71	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
72	C₂²×C₄×C₁₉	—	2	1	no	—
73	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
74	C₂×C₂²⋊D₁₉	—	2	1	no	—
75	C₂×C₂²⋊D₁₉	—	2	1	no	—
76	C₂×C₂²⋊D₁₉	—	2	1	no	—
77	C₂×C₂²⋊D₁₉	D₄	1	1	yes	characteristic
78	C₂²×Dic₁₉	—	2	1	no	—
79	C₂²×Dic₁₉	—	2	1	no	—
80	C₂²×Dic₁₉	—	2	1	no	—
81	C₂²×Dic₁₉	—	2	1	no	—
82	#64543	—	2	2	no	—
83	#64543	—	2	2	no	—
84	#64543	—	4	1	no	—
85	#64543	—	4	1	no	—
86	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
87	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
88	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
89	SD₁₆×C₁₉	—	2	2	no	—
90	SD₁₆×C₁₉	—	2	2	no	—
91	D₈×C₁₉	—	2	2	no	—
92	D₈×C₁₉	D₄	1	4	yes	complemented
93	M₁₆×C₁₉	—	2	2	no	—
94	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
95	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
96	C₂²⋊Dic₁₉	—	2	1	no	—
97	C₂²⋊Dic₁₉	—	2	1	no	—
98	C₂²⋊Dic₁₉	—	2	1	no	—
99	C₂²⋊Dic₁₉	—	2	1	no	—
100	C₂²⋊Dic₁₉	—	2	1	no	—
101	C₂²⋊Dic₁₉	—	2	1	no	—
102	C₂²⋊Dic₁₉	—	2	1	no	—
103	C₂²⋊Dic₁₉	D₄	1	1	yes	characteristic
104	#64528	—	4	1	no	—
105	#64526	—	2	2	no	—
106	#64526	—	2	2	no	—
107	#64526	—	4	1	no	—
108	(C₂×D₁₉)⋊C₄	—	2	1	no	—
109	(C₂×D₁₉)⋊C₄	D₄	1	1	yes	characteristic
110	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
111	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
112	Dic₁₉⋊C₄	—	2	1	no	—
113	Dic₁₉⋊C₄	—	2	1	no	—
114	Dic₁₉⋊C₄	—	2	1	no	—
115	Dic₁₉⋊C₄	—	2	1	no	—
116	Dic₁₉⋊C₄	—	2	1	no	—
117	Dic₁₉⋊C₄	D₄	1	1	yes	characteristic
118	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
119	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
120	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
121	Dic₇₆	—	2	2	no	—
122	C₈×D₁₉	—	2	2	no	—
123	C₂³×C₁₉	—	2	1	no	—
124	C₂³×C₁₉	—	2	1	no	—
125	C₂³×C₁₉	—	2	1	no	—
126	C₂³×C₁₉	—	4	2	no	—
127	C₂³×C₁₉	—	4	2	no	—
128	C₂³×C₁₉	—	8	1	no	—
129	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
130	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
131	Q₈×C₁₉	—	2	1	no	—
132	Q₈×C₁₉	—	2	1	no	—
133	D₄×C₁₉	—	2	1	no	—
134	D₄×C₁₉	—	2	1	no	—
135	D₄×C₁₉	—	2	1	no	—
136	D₄×C₁₉	—	2	1	no	—
137	D₄×C₁₉	—	4	2	no	—
138	D₄×C₁₉	—	4	2	no	—
139	D₄×C₁₉	C₂×D₄	1	2	yes	—
140	D₄×C₁₉	C₂×D₄	1	2	yes	—
141	C₂×C₄×C₁₉	—	2	1	no	—
142	C₂×C₄×C₁₉	—	2	1	no	—
143	C₂×C₄×C₁₉	—	2	1	no	—
144	C₂×C₄×C₁₉	—	4	2	no	—
145	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
146	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
147	C₂²⋊D₁₉	—	4	1	no	—
148	C₂²⋊D₁₉	—	4	2	no	—
149	C₂²⋊D₁₉	—	4	2	no	—
150	C₂²⋊D₁₉	—	8	1	no	—
151	C₂×Dic₁₉	—	2	1	no	—
152	C₂×Dic₁₉	—	2	1	no	—
153	C₂×Dic₁₉	—	2	1	no	—
154	C₂×Dic₁₉	—	2	1	no	—
155	C₂×Dic₁₉	—	4	2	no	—
156	C₂×Dic₁₉	—	4	2	no	—
157	C₂×Dic₁₉	—	4	2	no	—
158	C₂×Dic₁₉	—	8	1	no	—
159	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
160	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
161	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
162	C₄×D₁₉	—	2	1	no	—
163	C₄×D₁₉	—	2	1	no	—
164	Dic₃₈	—	2	1	no	—
165	Dic₃₈	—	2	1	no	—
166	Dic₃₈	—	2	1	no	—
167	Dic₃₈	—	2	1	no	—
168	C₈×C₁₉	—	2	1	no	—
169	C₈×C₁₉	C₂×D₄	1	2	yes	—
170	C₁₉⋊C₈	—	2	1	no	—
171	C₁₉⋊C₈	—	2	1	no	—
172	#3267	—	19	1	no	maximal, Sylow
173	C₂²×C₁₉	—	2	2	no	—
174	C₂²×C₁₉	—	2	2	no	—
175	C₂²×C₁₉	—	2	1	no	—
176	C₂²×C₁₉	—	2	1	no	—
177	C₂²×C₁₉	—	2	1	no	—
178	C₂²×C₁₉	—	4	1	no	—
179	C₂²×C₁₉	—	4	1	no	—
180	C₂²×C₁₉	—	4	1	no	—
181	C₂²×C₁₉	—	4	1	no	—
182	C₂²×C₁₉	—	4	1	no	—
183	C₂²×C₁₉	—	4	1	no	—
184	C₂²×C₁₉	—	4	1	no	—
185	C₂²×C₁₉	—	8	4	no	—
186	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
187	C₂×D₁₉	—	2	1	no	—
188	C₂×D₁₉	—	2	1	no	—
189	C₂×D₁₉	—	2	1	no	—
190	C₄×C₁₉	—	2	1	no	—
191	C₄×C₁₉	—	4	1	no	—
192	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
193	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
194	Dic₁₉	—	2	1	no	—
195	Dic₁₉	—	2	1	no	—
196	Dic₁₉	—	2	1	no	—
197	Dic₁₉	—	4	1	no	—
198	Dic₁₉	—	4	1	no	—
199	Dic₁₉	—	4	1	no	—
200	Dic₁₉	—	4	1	no	—
201	C₂×AGL(1,ℤ/8)	D₁₉	1	1	yes	characteristic, complemented
202	C₂×#135	—	19	1	no	—
203	#547	—	19	1	no	—
204	#546	—	19	1	no	—
205	#497	—	19	1	no	—
206	#470	—	19	1	no	—
207	#465	—	19	1	no	—
208	#463	—	19	1	no	—
209	#461	—	19	1	no	—
210	#452	—	19	1	no	—
211	#452	—	19	1	no	—
212	#450	—	19	1	no	—
213	#449	—	19	1	no	—
214	#442	—	19	1	no	—
215	#435	—	19	1	no	—
216	C₂×C₁₉	—	4	1	no	—
217	C₂×C₁₉	—	4	2	no	—
218	C₂×C₁₉	—	4	2	no	—
219	C₂×C₁₉	—	8	1	no	—
220	C₂×C₁₉	D₄²	1	1	yes	characteristic
221	C₂×C₁₉	#575	1	1	yes	characteristic
222	C₂×C₁₉	#577	1	1	yes	characteristic
223	D₁₉	—	4	1	no	—
224	C₂×#41	—	19	1	no	—
225	C₂×#41	—	19	1	no	—
226	C₂×#41	C₂×D₁₉	1	1	yes	characteristic
227	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic
228	AGL(1,ℤ/8)	—	2	4	no	—
229	#135	—	38	4	no	—
230	C₂×Q₁₆	—	19	1	no	—
231	C₂×Q₁₆	—	19	1	no	—
232	C₂×SD₁₆	—	19	1	no	—
233	C₂×SD₁₆	—	19	1	no	—
234	C₂×SD₁₆	—	19	1	no	—
235	C₂×SD₁₆	C₂×D₁₉	1	1	yes	characteristic
236	C₂×SD₁₆	C₂×D₁₉	1	1	yes	characteristic
237	C₂×D₈	C₂×D₁₉	1	1	yes	characteristic
238	C₂×D₈	C₂×D₁₉	1	1	yes	characteristic
239	C₂×M₁₆	C₂×D₁₉	1	1	yes	characteristic
240	C₂²×C₈	—	19	1	no	—
241	C₄⋊Q₈	—	19	1	no	—
242	#124	—	19	1	no	—
243	#123	—	38	1	no	—
244	#123	—	38	1	no	—
245	#123	—	38	1	no	—
246	C₂²⋊Q₈	—	19	1	no	—
247	C₂²⋊Q₈	—	19	1	no	—
248	C₂²⋊Q₈	—	19	1	no	—
249	#121	—	19	1	no	—
250	#121	—	38	1	no	—
251	#121	—	38	1	no	—
252	#120	—	38	1	no	—
253	C₄×D₄	—	19	1	no	—
254	C₄×D₄	—	19	1	no	—
255	C₄×D₄	—	19	1	no	—
256	C₂×C₄⋊C₄	—	38	1	no	—
257	C₂×C₂²⋊C₄	—	38	1	no	—
258	#106	—	19	1	no	—
259	C₄⋊C₈	—	19	1	no	—
260	#103	—	19	1	no	—
261	#103	—	19	1	no	—
262	#103	—	19	1	no	—
263	#102	—	19	1	no	—
264	#102	—	19	1	no	—
265	#102	—	19	1	no	—
266	C₂²⋊C₈	—	19	1	no	—
267	C₂²⋊C₈	—	19	1	no	—
268	#97	—	19	1	no	—
269	C₁₉	#3267	1	1	yes	characteristic, complemented, Sylow
270	C₂⁴	—	2	1	no	—
271	#41	—	2	2	no	—
272	#41	—	4	1	no	—
273	#41	—	38	2	no	—
274	#41	—	38	2	no	—
275	#41	—	76	1	no	—
276	#41	—	76	1	no	—
277	C₂×Q₈	—	19	1	no	—
278	C₂×Q₈	—	19	1	no	—
279	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
280	C₂×D₄	—	2	2	no	—
281	C₂×D₄	—	2	1	no	—
282	C₂×D₄	—	2	1	no	—
283	C₂×D₄	—	4	1	no	—
284	C₂×D₄	—	19	1	no	—
285	C₂×D₄	—	38	1	no	—
286	C₂×D₄	—	38	1	no	—
287	C₂×D₄	—	38	1	no	—
288	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
289	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
290	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
291	C₂²×C₄	—	2	1	no	—
292	C₂²×C₄	—	19	1	no	—
293	C₂²×C₄	—	38	1	no	—
294	C₂²×C₄	—	38	1	no	—
295	C₂²×C₄	—	38	1	no	—
296	C₂²×C₄	—	38	1	no	—
297	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
298	Q₁₆	—	38	2	no	—
299	Q₁₆	—	76	1	no	—
300	SD₁₆	—	2	2	no	—
301	SD₁₆	—	2	2	no	—
302	SD₁₆	—	38	2	no	—
303	SD₁₆	—	38	2	no	—
304	SD₁₆	—	76	1	no	—
305	D₈	—	2	2	no	—
306	D₈	C₂²⋊D₁₉	1	4	yes	complemented
307	M₁₆	—	2	2	no	—
308	C₂×C₈	—	19	1	no	—
309	C₂×C₈	—	19	1	no	—
310	C₂×C₈	—	38	2	no	—
311	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
312	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
313	C₄⋊C₄	—	19	1	no	—
314	C₄⋊C₄	—	19	1	no	—
315	C₄⋊C₄	—	19	1	no	—
316	C₄⋊C₄	—	38	1	no	—
317	C₄⋊C₄	—	38	1	no	—
318	C₄⋊C₄	—	38	1	no	—
319	C₄⋊C₄	—	38	1	no	—
320	C₄⋊C₄	—	38	1	no	—
321	C₂²⋊C₄	—	19	1	no	—
322	C₂²⋊C₄	—	19	1	no	—
323	C₂²⋊C₄	—	38	1	no	—
324	C₂²⋊C₄	—	38	1	no	—
325	C₂²⋊C₄	—	38	1	no	—
326	C₂²⋊C₄	—	38	1	no	—
327	C₂²⋊C₄	—	38	1	no	—
328	C₂²⋊C₄	—	38	1	no	—
329	C₂²⋊C₄	—	38	1	no	—
330	C₂²⋊C₄	—	38	1	no	—
331	C₄²	—	19	1	no	—
332	C₂³	—	2	1	no	—
333	C₂³	—	2	1	no	—
334	C₂³	—	2	1	no	—
335	C₂³	—	4	2	no	—
336	C₂³	—	4	2	no	—
337	C₂³	—	8	1	no	—
338	C₂³	—	19	1	no	—
339	C₂³	D₄×D₁₉	1	1	yes	characteristic
340	Q₈	—	2	1	no	—
341	Q₈	—	2	1	no	—
342	Q₈	—	38	1	no	—
343	Q₈	—	38	1	no	—
344	Q₈	—	38	1	no	—
345	Q₈	—	38	1	no	—
346	D₄	—	2	1	no	—
347	D₄	—	2	1	no	—
348	D₄	—	2	1	no	—
349	D₄	—	2	1	no	—
350	D₄	—	4	2	no	—
351	D₄	—	4	2	no	—
352	D₄	—	76	1	no	—
353	D₄	—	76	2	no	—
354	D₄	—	76	2	no	—
355	D₄	—	152	1	no	—
356	D₄	C₂×C₂²⋊D₁₉	1	2	yes	—
357	D₄	C₂×C₂²⋊D₁₉	1	2	yes	—
358	C₂×C₄	—	2	1	no	—
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	2	1	no	—
361	C₂×C₄	—	4	2	no	—
362	C₂×C₄	—	19	1	no	—
363	C₂×C₄	—	19	1	no	—
364	C₂×C₄	—	19	1	no	—
365	C₂×C₄	—	38	1	no	—
366	C₂×C₄	—	38	1	no	—
367	C₂×C₄	—	38	1	no	—
368	C₂×C₄	—	38	1	no	—
369	C₂×C₄	—	38	1	no	—
370	C₂×C₄	—	38	1	no	—
371	C₂×C₄	—	76	2	no	—
372	C₂×C₄	—	76	2	no	—
373	C₂×C₄	—	76	2	no	—
374	C₂×C₄	—	152	1	no	—
375	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
376	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
377	C₈	—	2	1	no	—
378	C₈	—	38	1	no	—
379	C₈	—	38	1	no	—
380	C₈	C₂×C₂²⋊D₁₉	1	2	yes	—
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	2	2	no	—
385	C₂²	—	2	2	no	—
386	C₂²	—	4	1	no	—
387	C₂²	—	4	1	no	—
388	C₂²	—	4	1	no	—
389	C₂²	—	4	1	no	—
390	C₂²	—	4	1	no	—
391	C₂²	—	4	1	no	—
392	C₂²	—	4	1	no	—
393	C₂²	—	8	4	no	—
394	C₂²	—	38	1	no	—
395	C₂²	—	38	1	no	—
396	C₂²	—	38	1	no	—
397	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	4	1	no	—
400	C₄	—	38	1	no	—
401	C₄	—	38	1	no	—
402	C₄	—	38	1	no	—
403	C₄	—	76	1	no	—
404	C₄	—	76	1	no	—
405	C₄	—	76	1	no	—
406	C₄	—	76	1	no	—
407	C₄	#10597430	1	1	yes	characteristic
408	C₄	C₂²×C₂²⋊D₁₉	1	1	yes	characteristic
409	C₂	—	4	1	no	—
410	C₂	—	4	2	no	—
411	C₂	—	4	2	no	—
412	C₂	—	8	1	no	—
413	C₂	—	76	1	no	—
414	C₂	D₄×C₂²⋊D₁₉	1	1	yes	characteristic
415	C₂	#11927340	1	1	yes	characteristic
416	C₂	#11927354	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₂×C₁₉×AGL(1,ℤ/8)	C₂
socle	C₂²×C₁₉	C₂²×D₄
hypercenter	C₂×AGL(1,ℤ/8)	D₁₉
hypocenter	C₁₉	#3267
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×AGL(1,ℤ/8)

Complements

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

N	H ≅ G/N	type
1. C₂×#10597358	C₂	semidirect
2. #11927193	C₂	semidirect
3. #11927188	C₂	semidirect
4. #11926935	C₂	semidirect
5. #11926802	C₂	semidirect
6. #11926770	C₂	semidirect
7. #11926757	C₂	semidirect
8. #11926747	C₂	semidirect
9. #11926706	C₂	semidirect
10. #11926703	C₂	semidirect
11. #11926695	C₂	semidirect
12. #11926686	C₂	semidirect
13. #11926656	C₂	semidirect
14. #11926613	C₂	semidirect
15. C₂×C₁₉×AGL(1,ℤ/8)	C₂	semidirect
19. C₂×#64543	C₂²	semidirect
28. #10597392	C₂²	semidirect
29. #10597390	C₂²	semidirect
30. C₂×#64528	C₂²	semidirect
38. D₄×Dic₁₉	C₂²	semidirect
41. C₂×#64526	C₂²	semidirect
48. C₂×Dic₇₆	C₂²	semidirect
49. C₂×C₈×D₁₉	C₂²	semidirect
50. #10597292	C₂²	semidirect
53. #10597289	C₂²	semidirect
55. (C₂×D₁₉)⋊C₈	C₂²	semidirect
56. #10597274	C₂²	semidirect
57. #10597273	C₂²	semidirect
58. #10597273	C₂²	semidirect
59. #10597272	C₂²	semidirect
60. Dic₁₉⋊C₈	C₂²	semidirect
92. D₈×C₁₉	D₄	semidirect
201. C₂×AGL(1,ℤ/8)	D₁₉	semidirect
269. C₁₉	#3267	semidirect
306. D₈	C₂²⋊D₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10597358	2
#11927193	2
#11927188	2
#11926935	2
#11926802	2
#11926770	2
#11926757	2
#11926747	2
#11926706	2
#11926703	2
#11926695	2
#11926686	2
#11926656	2
#11926613	2
C₂×C₁₉×AGL(1,ℤ/8)	2
#3267	19