Subgroups — #14575380

Order 2432.

472 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#64528	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×Q₁₆×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
3	Q₈×C₂²⋊D₁₉	C₂	1	1	yes	maximal, characteristic
4	#11927207	C₂	1	1	yes	maximal, characteristic
5	#11926922	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926784	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926783	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926753	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926752	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926702	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926701	C₂	1	1	yes	maximal, characteristic, complemented
12	#11926698	C₂	1	1	yes	maximal, characteristic, complemented
13	#11926636	C₂	1	1	yes	maximal, characteristic, complemented
14	(C₂²⋊D₁₉)⋊C₈	C₂	1	1	yes	maximal, characteristic
15	C₁₉×#451	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×Q₈×C₁₉	C₂²	1	1	yes	characteristic
17	C₂×Q₈×D₁₉	C₂²	1	1	yes	characteristic
18	C₂×Q₈×D₁₉	C₂²	1	1	yes	characteristic
19	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic
20	C₂×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
21	C₂×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
22	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
23	#10597392	—	2	1	no	—
24	#10597392	C₂²	1	1	yes	characteristic
25	Q₈×Dic₁₉	C₂²	1	1	yes	characteristic
26	#10597390	—	2	1	no	—
27	#10597390	C₂²	1	1	yes	characteristic
28	#10597390	C₂²	1	1	yes	characteristic
29	C₂×#64528	—	2	4	no	—
30	C₂×#64528	C₂²	1	1	yes	characteristic
31	C₂×#64528	C₂²	1	1	yes	characteristic
32	C₂×#64528	C₂²	1	1	yes	characteristic
33	C₂×#64528	C₂²	1	1	yes	characteristic
34	C₂×#64528	C₂²	1	1	yes	characteristic
35	C₄×C₂²⋊D₁₉	—	2	1	no	—
36	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
37	#10597370	—	2	1	no	—
38	#10597370	C₂²	1	1	yes	characteristic
39	C₂²×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
40	Q₁₆×D₁₉	—	2	4	no	—
41	C₂×Dic₇₆	C₂²	1	1	yes	characteristic
42	C₂×Dic₇₆	C₂²	1	1	yes	characteristic
43	C₂×C₈×D₁₉	C₂²	1	1	yes	characteristic
44	#10597343	C₂²	1	1	yes	characteristic
45	#10597342	—	2	1	no	—
46	#10597334	—	2	1	no	—
47	#10597333	C₂²	1	1	yes	characteristic
48	(C₂²⋊D₁₉)⋊C₄	—	2	1	no	—
49	#10597324	—	2	1	no	—
50	C₁₉×#103	C₂²	1	1	yes	characteristic
51	C₁₉×#103	C₂²	1	1	yes	characteristic
52	C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
53	#10597292	C₂²	1	1	yes	characteristic
54	(C₂×D₁₉)⋊C₈	C₂²	1	1	yes	characteristic
55	#10597273	C₂²	1	1	yes	characteristic
56	#10597273	C₂²	1	1	yes	characteristic
57	Dic₁₉⋊C₈	C₂²	1	1	yes	characteristic
58	C₈×Dic₁₉	C₂²	1	1	yes	characteristic
59	#10597267	C₂²	1	1	yes	characteristic
60	#10597264	C₂²	1	1	yes	characteristic
61	C₂×Q₈×C₁₉	—	2	1	no	—
62	C₂×Q₈×C₁₉	—	2	2	no	—
63	C₂×Q₈×C₁₉	—	4	1	no	—
64	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
65	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
66	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₁₉	—	2	1	no	—
68	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
69	C₂×C₂²⋊D₁₉	D₄	1	1	yes	characteristic
70	C₂²×Dic₁₉	—	2	1	no	—
71	Q₈×D₁₉	—	2	2	no	—
72	Q₈×D₁₉	—	2	2	no	—
73	Q₈×D₁₉	—	4	1	no	—
74	Q₈×D₁₉	—	4	1	no	—
75	C₂×C₄×D₁₉	—	2	1	no	—
76	C₂×C₄×D₁₉	—	2	1	no	—
77	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
78	C₂×Dic₃₈	—	2	2	no	—
79	C₂×Dic₃₈	—	2	1	no	—
80	C₂×Dic₃₈	—	2	1	no	—
81	C₂×Dic₃₈	—	2	1	no	—
82	C₂×Dic₃₈	—	4	1	no	—
83	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
84	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
85	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
86	Q₁₆×C₁₉	—	2	2	no	—
87	Q₁₆×C₁₉	—	4	1	no	—
88	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
89	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
90	C₄⋊C₄×C₁₉	—	2	1	no	—
91	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
92	C₂²⋊C₄×C₁₉	—	2	1	no	—
93	C₂²⋊Dic₁₉	—	2	1	no	—
94	C₂²⋊Dic₁₉	D₄	1	1	yes	characteristic
95	#64528	—	2	2	no	—
96	#64528	—	2	2	no	—
97	#64528	—	2	2	no	—
98	#64528	—	2	2	no	—
99	#64528	D₄	1	4	yes	complemented
100	(C₂×D₁₉)⋊C₄	—	2	1	no	—
101	(C₂×D₁₉)⋊C₄	—	2	1	no	—
102	(C₂×D₁₉)⋊C₄	D₄	1	1	yes	characteristic
103	C₄⋊Dic₁₉	—	2	1	no	—
104	C₄⋊Dic₁₉	—	2	1	no	—
105	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
106	Dic₁₉⋊C₄	—	2	1	no	—
107	Dic₁₉⋊C₄	—	2	1	no	—
108	Dic₁₉⋊C₄	—	2	1	no	—
109	Dic₁₉⋊C₄	—	2	1	no	—
110	Dic₁₉⋊C₄	—	2	1	no	—
111	Dic₁₉⋊C₄	—	2	1	no	—
112	Dic₁₉⋊C₄	—	2	1	no	—
113	Dic₁₉⋊C₄	D₄	1	1	yes	characteristic
114	C₄×Dic₁₉	—	2	1	no	—
115	C₄×Dic₁₉	—	2	1	no	—
116	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
117	C₂×C₁₉⋊C₈	—	2	2	no	—
118	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
119	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
120	Dic₇₆	—	2	2	no	—
121	Dic₇₆	—	4	1	no	—
122	C₈×D₁₉	—	2	2	no	—
123	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
124	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
125	Q₈×C₁₉	—	2	1	no	—
126	Q₈×C₁₉	—	2	1	no	—
127	Q₈×C₁₉	—	2	1	no	—
128	Q₈×C₁₉	—	2	1	no	—
129	Q₈×C₁₉	—	2	1	no	—
130	Q₈×C₁₉	—	4	2	no	—
131	Q₈×C₁₉	C₂×D₄	1	2	yes	—
132	C₂×C₄×C₁₉	—	2	1	no	—
133	C₂×C₄×C₁₉	—	2	1	no	—
134	C₂×C₄×C₁₉	—	2	1	no	—
135	C₂×C₄×C₁₉	—	2	1	no	—
136	C₂×C₄×C₁₉	—	2	1	no	—
137	C₂×C₄×C₁₉	—	2	1	no	—
138	C₂×C₄×C₁₉	—	4	2	no	—
139	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
141	C₂²⋊D₁₉	Q₁₆	1	4	yes	complemented
142	C₂×Dic₁₉	—	2	1	no	—
143	C₂×Dic₁₉	—	2	1	no	—
144	C₂×Dic₁₉	—	2	1	no	—
145	C₂×Dic₁₉	—	2	1	no	—
146	C₂×Dic₁₉	—	4	2	no	—
147	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
148	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
149	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
150	C₄×D₁₉	—	2	1	no	—
151	C₄×D₁₉	—	2	1	no	—
152	C₄×D₁₉	—	4	2	no	—
153	C₄×D₁₉	—	4	2	no	—
154	Dic₃₈	—	2	1	no	—
155	Dic₃₈	—	2	1	no	—
156	Dic₃₈	—	2	1	no	—
157	Dic₃₈	—	2	1	no	—
158	Dic₃₈	—	2	1	no	—
159	Dic₃₈	—	4	2	no	—
160	Dic₃₈	—	4	2	no	—
161	Dic₃₈	—	4	2	no	—
162	Dic₃₈	C₂×D₄	1	2	yes	—
163	C₈×C₁₉	—	2	1	no	—
164	C₈×C₁₉	—	2	1	no	—
165	C₁₉⋊C₈	—	2	1	no	—
166	C₁₉⋊C₈	C₂×D₄	1	2	yes	—
167	D₄×Q₁₆	—	19	1	no	maximal, Sylow
168	C₂²×C₁₉	—	2	1	no	—
169	C₂²×C₁₉	—	2	1	no	—
170	C₂²×C₁₉	C₂×Q₁₆	1	2	yes	complemented
171	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
172	C₂×D₁₉	—	2	1	no	—
173	C₂×D₁₉	—	2	1	no	—
174	C₂×D₁₉	C₂×Q₁₆	1	2	yes	complemented
175	C₄×C₁₉	—	2	1	no	—
176	C₄×C₁₉	—	2	2	no	—
177	C₄×C₁₉	—	4	1	no	—
178	C₄×C₁₉	—	4	1	no	—
179	C₄×C₁₉	—	4	1	no	—
180	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
181	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
182	Dic₁₉	—	2	2	no	—
183	Dic₁₉	—	2	1	no	—
184	Dic₁₉	—	2	1	no	—
185	Dic₁₉	—	4	1	no	—
186	Dic₁₉	—	4	1	no	—
187	Dic₁₉	—	4	1	no	—
188	Dic₁₉	C₂×Q₁₆	1	2	yes	complemented
189	C₂²×Q₁₆	—	19	1	no	—
190	C₂²×Q₁₆	—	19	1	no	—
191	D₄×Q₈	—	19	1	no	—
192	D₄×Q₈	—	19	1	no	—
193	#494	—	19	1	no	—
194	#467	—	19	1	no	—
195	#467	—	19	1	no	—
196	#462	—	19	1	no	—
197	#462	—	19	1	no	—
198	#451	—	19	1	no	—
199	#451	—	19	1	no	—
200	#451	—	19	1	no	—
201	#451	D₁₉	1	1	yes	characteristic, complemented
202	C₄×Q₁₆	—	19	1	no	—
203	C₈×D₄	—	19	1	no	—
204	C₂×C₁₉	—	2	2	no	—
205	C₂×C₁₉	D₄²	1	1	yes	characteristic
206	C₂×C₁₉	C₂²×Q₁₆	1	1	yes	characteristic
207	C₂×C₁₉	#578	1	1	yes	characteristic
208	D₁₉	—	2	2	no	—
209	C₂²×Q₈	—	19	1	no	—
210	C₂²×Q₈	—	19	1	no	—
211	C₂²×Q₈	—	19	1	no	—
212	C₂²×Q₈	C₂×D₁₉	1	1	yes	characteristic
213	C₂×Q₁₆	—	19	1	no	—
214	C₂×Q₁₆	—	19	1	no	—
215	C₂×Q₁₆	—	19	1	no	—
216	C₂×Q₁₆	—	19	1	no	—
217	C₂×Q₁₆	—	19	1	no	—
218	C₂×Q₁₆	—	19	1	no	—
219	C₂×Q₁₆	—	19	1	no	—
220	C₂×Q₁₆	—	38	4	no	—
221	C₂×Q₁₆	—	38	4	no	—
222	C₂×Q₁₆	C₂×D₁₉	1	1	yes	characteristic
223	C₂×Q₁₆	C₂×D₁₉	1	1	yes	characteristic
224	C₂²×C₈	—	19	1	no	—
225	C₂²×C₈	—	19	1	no	—
226	C₄⋊Q₈	—	19	1	no	—
227	C₄⋊Q₈	—	19	1	no	—
228	C₄⋊Q₈	—	38	1	no	—
229	C₄⋊Q₈	—	38	1	no	—
230	C₂²⋊Q₈	—	19	1	no	—
231	C₂²⋊Q₈	—	19	1	no	—
232	C₂²⋊Q₈	—	19	1	no	—
233	C₂²⋊Q₈	—	38	1	no	—
234	C₂²⋊Q₈	—	38	1	no	—
235	C₂²⋊Q₈	—	38	1	no	—
236	C₂²⋊Q₈	—	38	1	no	—
237	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
238	C₄×Q₈	—	19	1	no	—
239	C₄×Q₈	—	19	1	no	—
240	C₄×D₄	—	19	1	no	—
241	C₄×D₄	—	38	1	no	—
242	C₄×D₄	—	38	1	no	—
243	#107	—	19	1	no	—
244	C₄⋊C₈	—	19	1	no	—
245	#103	—	19	1	no	—
246	#103	—	19	1	no	—
247	#103	—	19	1	no	—
248	#103	—	19	1	no	—
249	#103	C₂×D₁₉	1	1	yes	characteristic
250	#103	C₂×D₁₉	1	1	yes	characteristic
251	C₂²⋊C₈	—	19	1	no	—
252	C₂²⋊C₈	C₂×D₁₉	1	1	yes	characteristic
253	C₄×C₈	—	19	1	no	—
254	C₁₉	D₄×Q₁₆	1	1	yes	characteristic, complemented, Sylow
255	C₂×Q₈	—	2	1	no	—
256	C₂×Q₈	—	2	2	no	—
257	C₂×Q₈	—	4	1	no	—
258	C₂×Q₈	—	19	1	no	—
259	C₂×Q₈	—	19	1	no	—
260	C₂×Q₈	—	19	1	no	—
261	C₂×Q₈	—	38	1	no	—
262	C₂×Q₈	—	38	1	no	—
263	C₂×Q₈	—	38	2	no	—
264	C₂×Q₈	—	38	1	no	—
265	C₂×Q₈	—	38	2	no	—
266	C₂×Q₈	—	38	2	no	—
267	C₂×Q₈	—	76	1	no	—
268	C₂×Q₈	—	76	1	no	—
269	C₂×Q₈	—	76	1	no	—
270	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
271	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
272	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
273	C₂×D₄	—	19	1	no	—
274	C₂²×C₄	—	2	1	no	—
275	C₂²×C₄	—	19	1	no	—
276	C₂²×C₄	—	38	1	no	—
277	C₂²×C₄	—	38	1	no	—
278	C₂²×C₄	—	38	1	no	—
279	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
280	Q₁₆	—	2	2	no	—
281	Q₁₆	—	4	1	no	—
282	Q₁₆	—	19	4	no	—
283	Q₁₆	—	38	2	no	—
284	Q₁₆	—	38	2	no	—
285	Q₁₆	—	38	2	no	—
286	Q₁₆	—	38	2	no	—
287	Q₁₆	—	38	2	no	—
288	Q₁₆	—	76	1	no	—
289	C₂×C₈	—	19	1	no	—
290	C₂×C₈	—	19	1	no	—
291	C₂×C₈	—	38	2	no	—
292	C₂×C₈	—	38	2	no	—
293	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
294	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	19	1	no	—
297	C₄⋊C₄	—	19	1	no	—
298	C₄⋊C₄	—	38	1	no	—
299	C₄⋊C₄	—	38	1	no	—
300	C₄⋊C₄	—	38	1	no	—
301	C₄⋊C₄	—	38	1	no	—
302	C₄⋊C₄	—	38	1	no	—
303	C₄⋊C₄	—	38	1	no	—
304	C₄⋊C₄	—	38	1	no	—
305	C₄⋊C₄	—	38	1	no	—
306	C₄⋊C₄	—	38	1	no	—
307	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
308	C₂²⋊C₄	—	2	1	no	—
309	C₂²⋊C₄	—	19	1	no	—
310	C₂²⋊C₄	—	19	1	no	—
311	C₂²⋊C₄	—	38	1	no	—
312	C₂²⋊C₄	—	38	1	no	—
313	C₂²⋊C₄	—	38	1	no	—
314	C₄²	—	19	1	no	—
315	C₄²	—	38	1	no	—
316	C₄²	—	38	1	no	—
317	C₂³	—	19	1	no	—
318	C₂³	D₄×D₁₉	1	1	yes	characteristic
319	Q₈	—	2	1	no	—
320	Q₈	—	2	1	no	—
321	Q₈	—	2	1	no	—
322	Q₈	—	2	1	no	—
323	Q₈	—	2	1	no	—
324	Q₈	—	4	2	no	—
325	Q₈	—	19	2	no	—
326	Q₈	—	38	1	no	—
327	Q₈	—	38	1	no	—
328	Q₈	—	38	1	no	—
329	Q₈	—	38	1	no	—
330	Q₈	—	38	1	no	—
331	Q₈	—	76	2	no	—
332	Q₈	—	76	2	no	—
333	Q₈	—	76	2	no	—
334	Q₈	D₄×D₁₉	1	2	yes	—
335	D₄	—	19	4	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	19	1	no	—
344	C₂×C₄	—	19	1	no	—
345	C₂×C₄	—	19	1	no	—
346	C₂×C₄	—	38	1	no	—
347	C₂×C₄	—	38	1	no	—
348	C₂×C₄	—	38	1	no	—
349	C₂×C₄	—	38	1	no	—
350	C₂×C₄	—	38	1	no	—
351	C₂×C₄	—	38	1	no	—
352	C₂×C₄	—	76	2	no	—
353	C₂×C₄	—	76	2	no	—
354	C₂×C₄	—	76	2	no	—
355	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
356	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
357	C₈	—	2	1	no	—
358	C₈	—	2	1	no	—
359	C₈	—	19	2	no	—
360	C₈	—	38	1	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	19	2	no	—
364	C₂²	—	38	1	no	—
365	C₂²	—	38	1	no	—
366	C₂²	Q₁₆×D₁₉	1	2	yes	complemented
367	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
368	C₄	—	2	1	no	—
369	C₄	—	2	2	no	—
370	C₄	—	4	1	no	—
371	C₄	—	4	1	no	—
372	C₄	—	4	1	no	—
373	C₄	—	19	2	no	—
374	C₄	—	38	1	no	—
375	C₄	—	38	1	no	—
376	C₄	—	38	2	no	—
377	C₄	—	76	1	no	—
378	C₄	—	76	1	no	—
379	C₄	—	76	1	no	—
380	C₄	C₂×D₄×D₁₉	1	1	yes	characteristic
381	C₄	#10597430	1	1	yes	characteristic
382	C₂	—	2	2	no	—
383	C₂	—	38	2	no	—
384	C₂	#11927176	1	1	yes	characteristic
385	C₂	C₂×Q₁₆×D₁₉	1	1	yes	characteristic
386	C₂	#11927360	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₁₉×#451	C₂
socle	C₂²×C₁₉	C₂²×D₄
prime radical	C₂×C₂²⋊D₁₉	D₄
hypercenter	#451	D₁₉
hypocenter	C₁₉	D₄×Q₁₆
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #451

Complements

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

N	H ≅ G/N	type
1. C₂²×#64528	C₂	semidirect
2. C₂×Q₁₆×D₁₉	C₂	semidirect
5. #11926922	C₂	semidirect
6. #11926784	C₂	semidirect
7. #11926783	C₂	semidirect
8. #11926753	C₂	semidirect
9. #11926752	C₂	semidirect
10. #11926702	C₂	semidirect
11. #11926701	C₂	semidirect
12. #11926698	C₂	semidirect
13. #11926636	C₂	semidirect
15. C₁₉×#451	C₂	semidirect
99. #64528	D₄	semidirect
141. C₂²⋊D₁₉	Q₁₆	semidirect
170. C₂²×C₁₉	C₂×Q₁₆	semidirect
174. C₂×D₁₉	C₂×Q₁₆	semidirect
188. Dic₁₉	C₂×Q₁₆	semidirect
201. #451	D₁₉	semidirect
254. C₁₉	D₄×Q₁₆	semidirect
366. C₂²	Q₁₆×D₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#64528	2
C₂×Q₁₆×D₁₉	2
Q₈×C₂²⋊D₁₉	2
#11927207	2
#11926922	2
#11926784	2
#11926783	2
#11926753	2
#11926752	2
#11926702	2
#11926701	2
#11926698	2
#11926636	2
(C₂²⋊D₁₉)⋊C₈	2
C₁₉×#451	2
D₄×Q₁₆	19