Subgroups — #14575150

Order 2432.

494 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	C₂×#10597355	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#64516	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×Dic₃₈	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927190	C₂	1	1	yes	maximal, characteristic
5	#11926938	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926790	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926785	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926767	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926750	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926708	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926702	C₂	1	1	yes	maximal, characteristic, complemented
12	#11926697	C₂	1	1	yes	maximal, characteristic, complemented
13	#11926685	C₂	1	1	yes	maximal, characteristic, complemented
14	#11926646	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#435	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#64541	C₂²	1	1	yes	characteristic
17	C₂²×D₇₆	C₂²	1	1	yes	characteristic
18	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic
19	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
20	C₂×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₈×C₁₉	C₂²	1	1	yes	characteristic
22	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
23	#10597383	—	2	1	no	—
24	D₄×Dic₁₉	—	2	1	no	—
25	#10597376	C₂²	1	1	yes	characteristic
26	#10597370	C₂²	1	1	yes	characteristic
27	#10597370	C₂²	1	1	yes	characteristic
28	#10597370	C₂²	1	1	yes	characteristic, complemented
29	#10597355	—	2	4	no	—
30	C₂×Dic₇₆	C₂²	1	1	yes	characteristic, complemented
31	C₂×Dic₇₆	C₂²	1	1	yes	characteristic, complemented
32	C₂×Dic₇₆	C₂²	1	1	yes	characteristic, complemented
33	C₂×#64516	—	2	4	no	—
34	C₂×#64516	C₂²	1	1	yes	characteristic
35	C₂×#64516	C₂²	1	1	yes	characteristic
36	C₂×#64516	C₂²	1	1	yes	characteristic
37	C₂×#64516	C₂²	1	1	yes	characteristic
38	C₂×#64516	C₂²	1	1	yes	characteristic
39	C₂×#64516	C₂²	1	1	yes	characteristic
40	#10597340	—	2	1	no	—
41	#10597334	—	2	1	no	—
42	#10597330	—	2	1	no	—
43	C₂²⋊C₄×D₁₉	—	2	1	no	—
44	#10597324	—	2	1	no	—
45	#10597324	—	2	1	no	—
46	#10597321	C₂²	1	1	yes	characteristic
47	C₄×D₇₆	C₂²	1	1	yes	characteristic
48	#10597315	C₂²	1	1	yes	characteristic, complemented
49	C₄×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
52	C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#97	C₂²	1	1	yes	characteristic, complemented
54	#10597278	C₂²	1	1	yes	characteristic
55	#10597278	C₂²	1	1	yes	characteristic
56	#10597275	C₂²	1	1	yes	characteristic, complemented
57	#10597273	C₂²	1	1	yes	characteristic, complemented
58	#10597273	C₂²	1	1	yes	characteristic, complemented
59	#10597273	C₂²	1	1	yes	characteristic, complemented
60	#10597273	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₁₉	—	2	1	no	—
62	C₂×D₄×C₁₉	D₄	1	1	yes	characteristic
63	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₁₉	—	2	1	no	—
66	C₂×C₂²⋊D₁₉	—	2	1	no	—
67	C₂²×Dic₁₉	—	2	1	no	—
68	C₂²×Dic₁₉	—	2	1	no	—
69	#64541	—	2	2	no	—
70	#64541	—	4	1	no	—
71	C₂×D₇₆	—	2	2	no	—
72	C₂×D₇₆	—	2	1	no	—
73	C₂×D₇₆	—	4	1	no	—
74	C₂×D₇₆	C₂³	1	1	yes	characteristic
75	C₂×D₇₆	C₂³	1	1	yes	characteristic
76	C₂×C₄×D₁₉	—	2	1	no	—
77	C₂×C₄×D₁₉	—	2	1	no	—
78	C₂×Dic₃₈	—	2	2	no	—
79	C₂×Dic₃₈	—	2	2	no	—
80	C₂×Dic₃₈	—	2	1	no	—
81	C₂×Dic₃₈	—	2	1	no	—
82	C₂×Dic₃₈	—	4	1	no	—
83	C₂×Dic₃₈	—	4	1	no	—
84	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
85	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
86	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
87	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
88	M₁₆×C₁₉	—	2	2	no	—
89	C₂×C₈×C₁₉	—	2	2	no	—
90	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
91	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
92	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
93	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
94	C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
95	C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
96	C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
97	C₄²×C₁₉	C₂³	1	1	yes	characteristic
98	C₂²⋊Dic₁₉	—	2	1	no	—
99	C₂²⋊Dic₁₉	—	2	1	no	—
100	C₂²⋊Dic₁₉	—	2	1	no	—
101	(C₂×D₁₉)⋊C₄	—	2	1	no	—
102	(C₂×D₁₉)⋊C₄	—	2	1	no	—
103	(C₂×D₁₉)⋊C₄	—	2	1	no	—
104	(C₂×D₁₉)⋊C₄	—	2	1	no	—
105	C₄⋊Dic₁₉	—	2	1	no	—
106	C₄⋊Dic₁₉	—	2	1	no	—
107	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
108	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
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	C₄×Dic₁₉	—	2	1	no	—
114	Dic₇₆	—	2	2	no	—
115	Dic₇₆	—	2	2	no	—
116	Dic₇₆	—	4	1	no	—
117	#64516	—	2	2	no	—
118	#64516	—	2	2	no	—
119	#64516	—	2	2	no	—
120	#64516	—	2	2	no	—
121	#64516	—	4	1	no	—
122	#64516	D₄	1	4	yes	complemented
123	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
124	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
125	C₂²×D₁₉	—	2	1	no	—
126	C₂²×D₁₉	—	2	1	no	—
127	C₂²×D₁₉	—	4	2	no	—
128	C₂²×D₁₉	—	4	2	no	—
129	C₂²×D₁₉	—	8	1	no	—
130	D₄×C₁₉	—	2	2	no	—
131	C₂×C₄×C₁₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
136	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
137	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
140	C₂²⋊D₁₉	—	4	2	no	—
141	C₂²⋊D₁₉	—	8	1	no	—
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	—	2	1	no	—
147	C₂×Dic₁₉	—	2	1	no	—
148	C₂×Dic₁₉	—	4	2	no	—
149	C₂×Dic₁₉	—	4	2	no	—
150	D₇₆	—	2	1	no	—
151	D₇₆	—	2	1	no	—
152	D₇₆	—	2	1	no	—
153	D₇₆	—	4	2	no	—
154	D₇₆	C₂×D₄	1	2	yes	—
155	C₄×D₁₉	—	4	2	no	—
156	C₄×D₁₉	—	8	1	no	—
157	Dic₃₈	—	2	1	no	—
158	Dic₃₈	—	2	1	no	—
159	Dic₃₈	—	2	1	no	—
160	Dic₃₈	—	2	1	no	—
161	Dic₃₈	—	2	1	no	—
162	Dic₃₈	—	2	1	no	—
163	Dic₃₈	—	2	1	no	—
164	Dic₃₈	—	4	2	no	—
165	Dic₃₈	—	4	2	no	—
166	Dic₃₈	C₂×D₄	1	2	yes	—
167	C₈×C₁₉	—	2	1	no	—
168	C₈×C₁₉	—	2	1	no	—
169	C₈×C₁₉	—	2	1	no	—
170	C₈×C₁₉	C₂×D₄	1	2	yes	—
171	#3266	—	19	1	no	maximal, Sylow
172	C₂²×C₁₉	—	2	1	no	—
173	C₂²×C₁₉	—	2	1	no	—
174	C₂²×C₁₉	—	2	1	no	—
175	C₂²×C₁₉	—	2	1	no	—
176	C₂²×C₁₉	—	2	1	no	—
177	C₂²×C₁₉	#137	1	2	yes	complemented
178	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
179	C₂×D₁₉	—	2	2	no	—
180	C₂×D₁₉	—	4	1	no	—
181	C₂×D₁₉	—	4	1	no	—
182	C₂×D₁₉	—	4	1	no	—
183	C₂×D₁₉	—	4	1	no	—
184	C₂×D₁₉	—	4	1	no	—
185	C₂×D₁₉	—	8	4	no	—
186	C₄×C₁₉	—	2	1	no	—
187	C₄×C₁₉	—	2	1	no	—
188	C₄×C₁₉	—	2	1	no	—
189	C₄×C₁₉	—	2	1	no	—
190	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
191	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
192	Dic₁₉	—	2	2	no	—
193	Dic₁₉	—	4	1	no	—
194	Dic₁₉	—	4	1	no	—
195	Dic₁₉	—	4	1	no	—
196	Dic₁₉	—	4	1	no	—
197	Dic₁₉	—	4	1	no	—
198	C₂×#137	—	19	1	no	—
199	C₂²×SD₁₆	—	19	1	no	—
200	D₄×Q₈	—	19	1	no	—
201	#546	—	19	1	no	—
202	#497	—	19	1	no	—
203	#468	—	19	1	no	—
204	#467	—	19	1	no	—
205	#464	—	19	1	no	—
206	#461	—	19	1	no	—
207	#452	—	19	1	no	—
208	#451	—	19	1	no	—
209	#450	—	19	1	no	—
210	#448	—	19	1	no	—
211	#440	—	19	1	no	—
212	#435	D₁₉	1	1	yes	characteristic, complemented
213	C₂×C₁₉	—	2	2	no	—
214	C₂×C₁₉	—	4	1	no	—
215	C₂×C₁₉	D₄²	1	1	yes	characteristic
216	C₂×C₁₉	C₂×#137	1	1	yes	characteristic
217	C₂×C₁₉	#577	1	1	yes	characteristic
218	D₁₉	—	4	2	no	—
219	D₁₉	—	8	1	no	—
220	C₂×#41	—	19	1	no	—
221	C₂²×Q₈	—	19	1	no	—
222	C₂²×Q₈	—	19	1	no	—
223	C₂²×D₄	—	19	1	no	—
224	#137	—	38	4	no	—
225	C₂×Q₁₆	—	19	1	no	—
226	C₂×Q₁₆	—	19	1	no	—
227	C₂×Q₁₆	—	19	1	no	—
228	C₂×SD₁₆	—	19	1	no	—
229	C₂×SD₁₆	—	19	1	no	—
230	C₂×SD₁₆	—	19	1	no	—
231	C₂×SD₁₆	—	19	1	no	—
232	C₂×SD₁₆	—	19	1	no	—
233	C₂×SD₁₆	—	19	1	no	—
234	C₂×SD₁₆	—	38	4	no	—
235	C₂×M₁₆	C₂×D₁₉	1	1	yes	characteristic, complemented
236	C₂²×C₈	C₂×D₁₉	1	1	yes	characteristic
237	C₄⋊Q₈	—	19	1	no	—
238	C₄⋊Q₈	—	38	1	no	—
239	#124	—	19	1	no	—
240	#123	—	38	1	no	—
241	C₂²⋊Q₈	—	19	1	no	—
242	C₂²⋊Q₈	—	19	1	no	—
243	C₂²⋊Q₈	—	19	1	no	—
244	C₂²⋊Q₈	—	38	1	no	—
245	C₂²⋊Q₈	—	38	1	no	—
246	#121	—	19	1	no	—
247	#121	—	38	1	no	—
248	#120	—	38	1	no	—
249	C₄×Q₈	—	19	1	no	—
250	C₄×D₄	—	19	1	no	—
251	C₄×D₄	—	38	1	no	—
252	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
253	C₂×C₂²⋊C₄	—	38	1	no	—
254	#107	—	19	1	no	—
255	C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic, complemented
256	#103	—	19	1	no	—
257	#103	—	19	1	no	—
258	#103	—	19	1	no	—
259	#103	—	19	1	no	—
260	#102	—	19	1	no	—
261	#102	—	19	1	no	—
262	C₂²⋊C₈	C₂×D₁₉	1	1	yes	characteristic
263	C₂²⋊C₈	C₂×D₁₉	1	1	yes	characteristic, complemented
264	#97	C₂×D₁₉	1	1	yes	characteristic, complemented
265	C₁₉	#3266	1	1	yes	characteristic, complemented, Sylow
266	C₂⁴	—	38	1	no	—
267	#41	—	38	2	no	—
268	#41	—	76	1	no	—
269	C₂×Q₈	—	19	1	no	—
270	C₂×Q₈	—	19	1	no	—
271	C₂×Q₈	—	19	1	no	—
272	C₂×Q₈	—	19	1	no	—
273	C₂×Q₈	—	38	2	no	—
274	C₂×Q₈	—	38	2	no	—
275	C₂×Q₈	—	38	1	no	—
276	C₂×Q₈	—	38	1	no	—
277	C₂×Q₈	—	76	1	no	—
278	C₂×Q₈	—	76	1	no	—
279	C₂×D₄	—	19	1	no	—
280	C₂×D₄	—	19	1	no	—
281	C₂×D₄	—	38	2	no	—
282	C₂×D₄	—	38	1	no	—
283	C₂×D₄	—	38	1	no	—
284	C₂×D₄	—	38	1	no	—
285	C₂×D₄	—	76	1	no	—
286	C₂×D₄	D₇₆	1	1	yes	characteristic
287	C₂²×C₄	—	38	1	no	—
288	C₂²×C₄	—	38	1	no	—
289	C₂²×C₄	—	38	1	no	—
290	C₂²×C₄	—	38	1	no	—
291	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
292	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
293	Q₁₆	—	38	2	no	—
294	Q₁₆	—	38	2	no	—
295	Q₁₆	—	76	1	no	—
296	SD₁₆	—	19	4	no	—
297	SD₁₆	—	38	2	no	—
298	SD₁₆	—	38	2	no	—
299	SD₁₆	—	38	2	no	—
300	SD₁₆	—	38	2	no	—
301	SD₁₆	—	76	1	no	—
302	M₁₆	—	2	2	no	—
303	C₂×C₈	—	2	2	no	—
304	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
305	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
306	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
307	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
308	C₄⋊C₄	—	19	1	no	—
309	C₄⋊C₄	—	19	1	no	—
310	C₄⋊C₄	—	38	1	no	—
311	C₄⋊C₄	—	38	1	no	—
312	C₄⋊C₄	—	38	1	no	—
313	C₄⋊C₄	—	38	1	no	—
314	C₄⋊C₄	—	38	1	no	—
315	C₄⋊C₄	—	38	1	no	—
316	C₄⋊C₄	D₇₆	1	1	yes	characteristic
317	C₂²⋊C₄	—	38	1	no	—
318	C₂²⋊C₄	—	38	1	no	—
319	C₂²⋊C₄	—	38	1	no	—
320	C₂²⋊C₄	—	38	1	no	—
321	C₂²⋊C₄	—	38	1	no	—
322	C₂²⋊C₄	—	38	1	no	—
323	C₂²⋊C₄	—	38	1	no	—
324	C₂²⋊C₄	D₇₆	1	1	yes	characteristic
325	C₂²⋊C₄	D₇₆	1	1	yes	characteristic
326	C₄²	—	38	1	no	—
327	C₄²	C₂²×D₁₉	1	1	yes	characteristic
328	C₂³	—	38	1	no	—
329	C₂³	—	38	1	no	—
330	C₂³	—	76	2	no	—
331	C₂³	—	76	2	no	—
332	C₂³	—	152	1	no	—
333	C₂³	C₂×D₇₆	1	1	yes	characteristic
334	C₂³	C₂×D₇₆	1	1	yes	characteristic
335	Q₈	—	19	2	no	—
336	Q₈	—	38	1	no	—
337	Q₈	—	38	1	no	—
338	Q₈	—	38	1	no	—
339	Q₈	—	38	1	no	—
340	Q₈	—	38	1	no	—
341	Q₈	—	38	1	no	—
342	Q₈	—	38	1	no	—
343	Q₈	—	76	2	no	—
344	Q₈	—	76	2	no	—
345	D₄	—	2	2	no	—
346	D₄	—	19	2	no	—
347	D₄	—	38	1	no	—
348	D₄	—	38	1	no	—
349	D₄	—	38	1	no	—
350	D₄	—	76	2	no	—
351	D₄	—	76	2	no	—
352	D₄	—	152	1	no	—
353	C₂×C₄	—	2	1	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	2	1	no	—
356	C₂×C₄	—	2	1	no	—
357	C₂×C₄	—	38	1	no	—
358	C₂×C₄	—	38	1	no	—
359	C₂×C₄	—	38	1	no	—
360	C₂×C₄	—	38	1	no	—
361	C₂×C₄	—	38	1	no	—
362	C₂×C₄	—	38	1	no	—
363	C₂×C₄	—	76	2	no	—
364	C₂×C₄	—	76	2	no	—
365	C₂×C₄	—	76	2	no	—
366	C₂×C₄	—	152	1	no	—
367	C₂×C₄	C₂×D₇₆	1	1	yes	characteristic
368	C₂×C₄	C₂×D₇₆	1	1	yes	characteristic
369	C₂×C₄	C₂×D₇₆	1	1	yes	characteristic
370	C₂×C₄	C₂×D₇₆	1	1	yes	characteristic
371	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
372	C₈	—	2	1	no	—
373	C₈	—	2	1	no	—
374	C₈	—	2	1	no	—
375	C₈	D₄×D₁₉	1	2	yes	—
376	C₂²	—	2	1	no	—
377	C₂²	—	2	1	no	—
378	C₂²	—	2	1	no	—
379	C₂²	—	2	1	no	—
380	C₂²	—	2	1	no	—
381	C₂²	—	38	2	no	—
382	C₂²	—	76	1	no	—
383	C₂²	—	76	1	no	—
384	C₂²	—	76	1	no	—
385	C₂²	—	76	1	no	—
386	C₂²	—	76	1	no	—
387	C₂²	—	152	4	no	—
388	C₂²	#10597355	1	2	yes	complemented
389	C₂²	C₂²×D₇₆	1	1	yes	characteristic
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	2	1	no	—
393	C₄	—	2	1	no	—
394	C₄	—	38	2	no	—
395	C₄	—	76	1	no	—
396	C₄	—	76	1	no	—
397	C₄	—	76	1	no	—
398	C₄	—	76	1	no	—
399	C₄	—	76	1	no	—
400	C₄	C₂×D₄×D₁₉	1	1	yes	characteristic
401	C₄	#10597435	1	1	yes	characteristic
402	C₂	—	2	2	no	—
403	C₂	—	4	1	no	—
404	C₂	—	76	2	no	—
405	C₂	—	152	1	no	—
406	C₂	D₄×D₇₆	1	1	yes	characteristic
407	C₂	C₂×#10597355	1	1	yes	characteristic
408	C₂	#11927356	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₇₆
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₁₉×#435	C₂
socle	C₂²×C₁₉	C₂²×D₄
prime radical	#11927190	C₂
hypercenter	#435	D₁₉
hypocenter	C₁₉	#3266
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #435

Complements

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

N	H ≅ G/N	type
1. C₂×#10597355	C₂	semidirect
2. C₂²×#64516	C₂	semidirect
3. D₄×Dic₃₈	C₂	semidirect
5. #11926938	C₂	semidirect
6. #11926790	C₂	semidirect
7. #11926785	C₂	semidirect
8. #11926767	C₂	semidirect
9. #11926750	C₂	semidirect
10. #11926708	C₂	semidirect
11. #11926702	C₂	semidirect
12. #11926697	C₂	semidirect
13. #11926685	C₂	semidirect
14. #11926646	C₂	semidirect
15. C₁₉×#435	C₂	semidirect
19. C₂²×Dic₃₈	C₂²	semidirect
20. C₂×M₁₆×C₁₉	C₂²	semidirect
28. #10597370	C₂²	semidirect
30. C₂×Dic₇₆	C₂²	semidirect
31. C₂×Dic₇₆	C₂²	semidirect
32. C₂×Dic₇₆	C₂²	semidirect
48. #10597315	C₂²	semidirect
49. C₄×Dic₃₈	C₂²	semidirect
50. C₁₉×C₄⋊C₈	C₂²	semidirect
52. C₁₉×C₂²⋊C₈	C₂²	semidirect
53. C₁₉×#97	C₂²	semidirect
56. #10597275	C₂²	semidirect
57. #10597273	C₂²	semidirect
58. #10597273	C₂²	semidirect
59. #10597273	C₂²	semidirect
60. #10597273	C₂²	semidirect
122. #64516	D₄	semidirect
177. C₂²×C₁₉	#137	semidirect
212. #435	D₁₉	semidirect
235. C₂×M₁₆	C₂×D₁₉	semidirect
255. C₄⋊C₈	C₂×D₁₉	semidirect
263. C₂²⋊C₈	C₂×D₁₉	semidirect
264. #97	C₂×D₁₉	semidirect
265. C₁₉	#3266	semidirect
388. C₂²	#10597355	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10597355	2
C₂²×#64516	2
D₄×Dic₃₈	2
#11927190	2
#11926938	2
#11926790	2
#11926785	2
#11926767	2
#11926750	2
#11926708	2
#11926702	2
#11926697	2
#11926685	2
#11926646	2
C₁₉×#435	2
#3266	19