Subgroups — #14577268

Order 2432.

1900 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10597435	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×D₇₆	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927190	C₂	1	4	yes	maximal, complemented
4	#11927185	C₂	1	4	yes	maximal, complemented
5	D₄×D₇₆	C₂	1	4	yes	maximal, complemented
6	#11927178	C₂	1	4	yes	maximal, complemented
7	#11927113	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927108	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927105	C₂	1	4	yes	maximal, complemented
10	#11927055	C₂	1	1	yes	maximal, characteristic, complemented
11	#120×D₁₉	C₂	1	4	yes	maximal, complemented
12	#11927018	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#525	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂⁴×D₁₉	C₂²	1	2	yes	complemented
15	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic, complemented
16	C₂³×C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
17	#10597435	—	2	8	no	—
18	C₂×#64545	C₂²	1	2	yes	complemented
19	C₂×D₄×D₁₉	C₂²	1	2	yes	complemented
20	C₂×D₄×D₁₉	C₂²	1	4	yes	complemented
21	C₂×D₄×D₁₉	C₂²	1	8	yes	complemented
22	C₂×#64541	C₂²	1	2	yes	complemented
23	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
24	C₂²×D₇₆	—	2	8	no	—
25	C₂²×D₇₆	C₂²	1	1	yes	characteristic
26	C₂²×D₇₆	C₂²	1	2	yes	complemented
27	C₂²×D₇₆	C₂²	1	1	yes	characteristic, complemented
28	C₂²×D₇₆	C₂²	1	4	yes	complemented
29	C₂²×D₇₆	C₂²	1	4	yes	complemented
30	C₂²×D₇₆	C₂²	1	2	yes	complemented
31	C₁₉×#123	C₂²	1	2	yes	complemented
32	C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	complemented
33	C₁₉×#121	C₂²	1	2	yes	complemented
34	C₁₉×#120	C₂²	1	2	yes	complemented
35	C₄×D₄×C₁₉	C₂²	1	4	yes	complemented
36	C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
37	#10597399	C₂²	1	2	yes	complemented
38	#10597393	C₂²	1	2	yes	complemented
39	#10597386	C₂²	1	2	yes	complemented
40	#10597383	C₂²	1	4	yes	complemented
41	#10597383	C₂²	1	8	yes	complemented
42	#10597376	C₂²	1	4	yes	complemented
43	#10597376	C₂²	1	2	yes	complemented
44	#10597375	C₂²	1	2	yes	complemented
45	C₄×C₂²⋊D₁₉	C₂²	1	4	yes	complemented
46	#10597372	C₂²	1	1	yes	characteristic, complemented
47	#10597370	C₂²	1	2	yes	complemented
48	#10597341	C₂²	1	8	yes	complemented
49	#10597341	C₂²	1	4	yes	complemented
50	#10597340	C₂²	1	8	yes	complemented
51	#10597339	C₂²	1	4	yes	complemented
52	#10597330	C₂²	1	8	yes	complemented
53	#10597328	C₂²	1	4	yes	complemented
54	#10597328	C₂²	1	8	yes	complemented
55	#10597328	C₂²	1	8	yes	complemented
56	C₂²⋊C₄×D₁₉	C₂²	1	4	yes	complemented
57	C₂²⋊C₄×D₁₉	C₂²	1	8	yes	complemented
58	#10597321	C₂²	1	2	yes	complemented
59	#10597320	C₂²	1	2	yes	complemented
60	C₄×D₇₆	C₂²	1	4	yes	complemented
61	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
62	C₂³×D₁₉	—	2	8	no	—
63	C₂³×D₁₉	—	4	8	no	—
64	C₂³×D₁₉	C₂³	1	8	yes	—
65	C₂³×D₁₉	C₂³	1	2	yes	—
66	C₂³×D₁₉	C₂³	1	2	yes	—
67	C₂³×D₁₉	C₂³	1	4	yes	complemented
68	#41×C₁₉	—	2	4	no	—
69	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic, complemented
70	C₂×D₄×C₁₉	C₂³	1	4	yes	—
71	C₂×D₄×C₁₉	C₂³	1	2	yes	—
72	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
73	C₂²×C₄×C₁₉	—	2	4	no	—
74	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
75	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
76	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
77	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
78	C₂²×C₄×C₁₉	C₂³	1	2	yes	complemented
79	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	—
80	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
81	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	complemented
82	C₂×C₂²⋊D₁₉	C₂³	1	8	yes	complemented
83	#64545	—	2	8	no	—
84	D₄×D₁₉	—	2	16	no	—
85	D₄×D₁₉	—	2	8	no	—
86	D₄×D₁₉	—	4	16	no	—
87	#64541	—	2	4	no	—
88	#64541	—	2	8	no	—
89	C₂×D₇₆	—	2	8	no	—
90	C₂×D₇₆	—	2	4	no	—
91	C₂×D₇₆	—	2	16	no	—
92	C₂×D₇₆	—	2	16	no	—
93	C₂×D₇₆	—	2	8	no	—
94	C₂×D₇₆	D₄	1	8	yes	complemented
95	C₂×D₇₆	C₂³	1	2	yes	—
96	C₂×D₇₆	C₂³	1	2	yes	—
97	C₂×D₇₆	C₂³	1	8	yes	—
98	C₂×D₇₆	C₂³	1	2	yes	—
99	C₂×D₇₆	C₂³	1	2	yes	—
100	C₂×D₇₆	C₂³	1	1	yes	characteristic, complemented
101	C₂×D₇₆	C₂³	1	4	yes	complemented
102	C₂×D₇₆	C₂³	1	8	yes	complemented
103	C₂×C₄×D₁₉	C₂³	1	4	yes	complemented
104	C₂×C₄×D₁₉	C₂³	1	2	yes	complemented
105	C₂×C₄×D₁₉	C₂³	1	8	yes	complemented
106	C₂×Dic₃₈	C₂³	1	1	yes	characteristic, complemented
107	C₄⋊C₄×C₁₉	C₂³	1	2	yes	complemented
108	C₄⋊C₄×C₁₉	C₂³	1	4	yes	complemented
109	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
110	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
111	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	complemented
112	C₄²×C₁₉	C₂³	1	2	yes	complemented
113	C₂²⋊Dic₁₉	C₂³	1	4	yes	—
114	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
115	(C₂×D₁₉)⋊C₄	C₂³	1	8	yes	complemented
116	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	complemented
117	(C₂×D₁₉)⋊C₄	C₂³	1	8	yes	complemented
118	(C₂×D₁₉)⋊C₄	C₂³	1	8	yes	complemented
119	C₄⋊Dic₁₉	C₂³	1	2	yes	complemented
120	Dic₁₉⋊C₄	C₂³	1	4	yes	complemented
121	C₄×Dic₁₉	C₂³	1	2	yes	complemented
122	C₂³×C₁₉	—	2	2	no	—
123	C₂³×C₁₉	—	2	4	no	—
124	C₂³×C₁₉	C₂⁴	1	2	yes	—
125	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
126	C₂³×C₁₉	C₂⁴	1	2	yes	—
127	C₂²×D₁₉	—	2	4	no	—
128	C₂²×D₁₉	—	2	16	no	—
129	C₂²×D₁₉	—	2	16	no	—
130	C₂²×D₁₉	—	2	8	no	—
131	C₂²×D₁₉	—	4	4	no	—
132	C₂²×D₁₉	—	4	8	no	—
133	C₂²×D₁₉	—	4	4	no	—
134	C₂²×D₁₉	—	4	8	no	—
135	C₂²×D₁₉	—	4	32	no	—
136	C₂²×D₁₉	C₂×D₄	1	8	yes	complemented
137	C₂²×D₁₉	C₂⁴	1	4	yes	—
138	C₂²×D₁₉	C₂⁴	1	2	yes	—
139	C₂²×D₁₉	C₂⁴	1	4	yes	—
140	Q₈×C₁₉	—	2	2	no	—
141	D₄×C₁₉	—	2	4	no	—
142	D₄×C₁₉	—	2	8	no	—
143	D₄×C₁₉	—	2	2	no	—
144	C₂×C₄×C₁₉	—	2	2	no	—
145	C₂×C₄×C₁₉	—	2	4	no	—
146	C₂×C₄×C₁₉	—	2	4	no	—
147	C₂×C₄×C₁₉	—	2	4	no	—
148	C₂×C₄×C₁₉	C₂×D₄	1	4	yes	complemented
149	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
150	C₂×C₄×C₁₉	C₂⁴	1	4	yes	—
151	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
152	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
153	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
154	C₂²⋊D₁₉	—	2	4	no	—
155	C₂²⋊D₁₉	—	2	8	no	—
156	C₂²⋊D₁₉	—	2	8	no	—
157	C₂²⋊D₁₉	—	4	8	no	—
158	C₂×Dic₁₉	C₂⁴	1	4	yes	—
159	C₂×Dic₁₉	C₂⁴	1	2	yes	—
160	D₇₆	—	2	16	no	—
161	D₇₆	—	2	8	no	—
162	D₇₆	—	2	4	no	—
163	D₇₆	—	2	4	no	—
164	D₇₆	—	2	2	no	—
165	D₇₆	—	4	8	no	—
166	D₇₆	C₂×D₄	1	8	yes	complemented
167	D₇₆	C₂×D₄	1	8	yes	complemented
168	C₄×D₁₉	—	2	8	no	—
169	C₄×D₁₉	—	2	4	no	—
170	C₄×D₁₉	—	4	8	no	—
171	Dic₃₈	—	2	2	no	—
172	#3484	—	19	1	no	maximal, Sylow
173	C₂²×C₁₉	—	2	8	no	—
174	C₂²×C₁₉	—	2	2	no	—
175	C₂²×C₁₉	—	2	2	no	—
176	C₂²×C₁₉	—	2	2	no	—
177	C₂²×C₁₉	—	2	2	no	—
178	C₂²×C₁₉	—	2	4	no	—
179	C₂²×C₁₉	C₂²×D₄	1	2	yes	—
180	C₂²×C₁₉	H(5,𝔽₂)	1	4	yes	complemented
181	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
182	C₂×D₁₉	—	2	8	no	—
183	C₂×D₁₉	—	2	2	no	—
184	C₂×D₁₉	—	2	4	no	—
185	C₂×D₁₉	—	2	4	no	—
186	C₂×D₁₉	—	2	8	no	—
187	C₂×D₁₉	—	4	8	no	—
188	C₂×D₁₉	—	4	32	no	—
189	C₂×D₁₉	—	4	8	no	—
190	C₂×D₁₉	—	8	8	no	—
191	C₂×D₁₉	C₂²×D₄	1	8	yes	—
192	C₄×C₁₉	—	2	2	no	—
193	C₄×C₁₉	—	2	2	no	—
194	C₄×C₁₉	—	2	4	no	—
195	C₄×C₁₉	C₂²×D₄	1	2	yes	—
196	C₄×C₁₉	C₂²×D₄	1	2	yes	—
197	Dic₁₉	—	2	2	no	—
198	Dic₁₉	—	2	4	no	—
199	C₂×H(5,𝔽₂)	—	19	1	no	—
200	C₂³×D₄	—	19	1	no	—
201	#546	—	19	4	no	—
202	#546	—	19	4	no	—
203	D₄²	—	19	4	no	—
204	D₄²	—	19	4	no	—
205	#535	—	19	1	no	—
206	#535	—	19	1	no	—
207	#534	—	19	4	no	—
208	#525	—	19	1	no	—
209	#525	D₁₉	1	1	yes	characteristic, complemented
210	C₂×#120	—	19	4	no	—
211	#518	—	19	1	no	—
212	C₂×C₁₉	—	2	2	no	—
213	C₂×C₁₉	—	2	4	no	—
214	C₂×C₁₉	—	4	2	no	—
215	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
216	C₂×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
217	D₁₉	—	2	8	no	—
218	D₁₉	—	4	4	no	—
219	D₁₉	—	4	2	no	—
220	C₂⁵	—	19	2	no	—
221	H(5,𝔽₂)	—	38	8	no	—
222	C₂×#41	—	19	2	no	—
223	C₂×#41	—	19	1	no	—
224	C₂×#41	—	19	2	no	—
225	C₂×#41	C₂×D₁₉	1	1	yes	characteristic, complemented
226	C₂²×D₄	—	19	4	no	—
227	C₂²×D₄	—	19	2	no	—
228	C₂²×D₄	—	19	8	no	—
229	C₂²×D₄	—	19	1	no	—
230	C₂²×D₄	—	19	2	no	—
231	C₂²×D₄	—	19	1	no	—
232	C₂²×D₄	—	19	4	no	—
233	C₂²×D₄	—	19	4	no	—
234	C₂²×D₄	—	19	2	no	—
235	C₂²×D₄	—	38	8	no	—
236	C₂³×C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
237	#127	—	19	2	no	—
238	#127	—	19	2	no	—
239	#124	—	19	2	no	—
240	#124	—	19	2	no	—
241	#123	—	19	2	no	—
242	#123	—	19	8	no	—
243	#123	C₂×D₁₉	1	2	yes	complemented
244	C₂²⋊Q₈	—	19	2	no	—
245	C₂²⋊Q₈	C₂×D₁₉	1	2	yes	complemented
246	#121	—	19	2	no	—
247	#121	—	19	4	no	—
248	#121	—	19	8	no	—
249	#121	—	19	4	no	—
250	#121	—	19	8	no	—
251	#121	C₂×D₁₉	1	2	yes	complemented
252	#120	—	19	2	no	—
253	#120	—	19	4	no	—
254	#120	—	19	8	no	—
255	#120	—	19	4	no	—
256	#120	—	19	8	no	—
257	#120	—	19	8	no	—
258	#120	C₂×D₁₉	1	2	yes	complemented
259	C₄×D₄	—	19	4	no	—
260	C₄×D₄	—	19	4	no	—
261	C₄×D₄	—	19	4	no	—
262	C₄×D₄	C₂×D₁₉	1	4	yes	complemented
263	#117	—	19	1	no	—
264	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
265	C₂×C₂²⋊C₄	—	19	4	no	—
266	C₂×C₂²⋊C₄	—	19	8	no	—
267	C₁₉	#3484	1	1	yes	characteristic, complemented, Sylow
268	C₂⁴	—	19	2	no	—
269	C₂⁴	—	19	8	no	—
270	C₂⁴	—	19	2	no	—
271	C₂⁴	—	19	4	no	—
272	C₂⁴	—	38	8	no	—
273	C₂⁴	—	76	8	no	—
274	C₂⁴	C₂²×D₁₉	1	1	yes	characteristic
275	#41	—	2	4	no	—
276	#41	—	38	8	no	—
277	#41	—	38	8	no	—
278	#41	—	38	4	no	—
279	C₂×Q₈	—	19	1	no	—
280	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic, complemented
281	C₂×D₄	—	19	4	no	—
282	C₂×D₄	—	19	2	no	—
283	C₂×D₄	—	19	4	no	—
284	C₂×D₄	—	19	8	no	—
285	C₂×D₄	—	19	8	no	—
286	C₂×D₄	—	19	2	no	—
287	C₂×D₄	—	19	2	no	—
288	C₂×D₄	—	19	8	no	—
289	C₂×D₄	—	19	2	no	—
290	C₂×D₄	—	19	2	no	—
291	C₂×D₄	—	19	4	no	—
292	C₂×D₄	—	19	1	no	—
293	C₂×D₄	—	19	8	no	—
294	C₂×D₄	—	38	16	no	—
295	C₂×D₄	—	38	16	no	—
296	C₂×D₄	—	38	8	no	—
297	C₂×D₄	—	38	8	no	—
298	C₂×D₄	—	38	8	no	—
299	C₂×D₄	—	38	16	no	—
300	C₂×D₄	—	38	4	no	—
301	C₂×D₄	—	76	16	no	—
302	C₂×D₄	C₂²×D₁₉	1	4	yes	—
303	C₂×D₄	C₂²×D₁₉	1	2	yes	—
304	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
305	C₂²×C₄	—	2	4	no	—
306	C₂²×C₄	—	19	4	no	—
307	C₂²×C₄	—	19	2	no	—
308	C₂²×C₄	—	19	8	no	—
309	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
310	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
311	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
312	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
313	C₂²×C₄	C₂²×D₁₉	1	2	yes	complemented
314	C₄⋊C₄	—	19	4	no	—
315	C₄⋊C₄	—	19	2	no	—
316	C₄⋊C₄	C₂²×D₁₉	1	2	yes	complemented
317	C₄⋊C₄	C₂²×D₁₉	1	4	yes	complemented
318	C₂²⋊C₄	—	19	2	no	—
319	C₂²⋊C₄	—	19	4	no	—
320	C₂²⋊C₄	—	19	8	no	—
321	C₂²⋊C₄	—	19	8	no	—
322	C₂²⋊C₄	—	19	8	no	—
323	C₂²⋊C₄	—	19	4	no	—
324	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
325	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
326	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	complemented
327	C₄²	—	19	2	no	—
328	C₄²	C₂²×D₁₉	1	2	yes	complemented
329	C₂³	—	2	2	no	—
330	C₂³	—	2	4	no	—
331	C₂³	—	19	4	no	—
332	C₂³	—	19	8	no	—
333	C₂³	—	19	4	no	—
334	C₂³	—	19	2	no	—
335	C₂³	—	38	16	no	—
336	C₂³	—	38	8	no	—
337	C₂³	—	38	4	no	—
338	C₂³	—	38	16	no	—
339	C₂³	—	76	4	no	—
340	C₂³	—	76	8	no	—
341	C₂³	—	76	4	no	—
342	C₂³	—	76	8	no	—
343	C₂³	—	76	32	no	—
344	C₂³	C₂³×D₁₉	1	2	yes	—
345	C₂³	C₂³×D₁₉	1	1	yes	characteristic
346	C₂³	C₂³×D₁₉	1	2	yes	—
347	Q₈	—	2	2	no	—
348	Q₈	—	38	2	no	—
349	D₄	—	2	4	no	—
350	D₄	—	2	8	no	—
351	D₄	—	2	2	no	—
352	D₄	—	19	8	no	—
353	D₄	—	19	8	no	—
354	D₄	—	38	16	no	—
355	D₄	—	38	8	no	—
356	D₄	—	38	8	no	—
357	D₄	—	38	4	no	—
358	D₄	—	38	8	no	—
359	D₄	—	38	4	no	—
360	D₄	—	38	4	no	—
361	D₄	—	38	2	no	—
362	D₄	—	76	8	no	—
363	D₄	—	76	8	no	—
364	C₂×C₄	—	2	2	no	—
365	C₂×C₄	—	2	4	no	—
366	C₂×C₄	—	2	4	no	—
367	C₂×C₄	—	2	4	no	—
368	C₂×C₄	—	19	4	no	—
369	C₂×C₄	—	19	2	no	—
370	C₂×C₄	—	38	8	no	—
371	C₂×C₄	—	38	4	no	—
372	C₂×C₄	—	76	8	no	—
373	C₂×C₄	D₄×D₁₉	1	4	yes	complemented
374	C₂×C₄	C₂³×D₁₉	1	4	yes	—
375	C₂×C₄	C₂³×D₁₉	1	2	yes	—
376	C₂×C₄	C₂³×D₁₉	1	2	yes	—
377	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
378	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
379	C₂²	—	2	8	no	—
380	C₂²	—	2	2	no	—
381	C₂²	—	2	2	no	—
382	C₂²	—	2	2	no	—
383	C₂²	—	2	2	no	—
384	C₂²	—	2	4	no	—
385	C₂²	—	19	8	no	—
386	C₂²	—	38	8	no	—
387	C₂²	—	38	2	no	—
388	C₂²	—	38	4	no	—
389	C₂²	—	38	4	no	—
390	C₂²	—	38	8	no	—
391	C₂²	—	76	8	no	—
392	C₂²	—	76	32	no	—
393	C₂²	—	76	8	no	—
394	C₂²	—	152	8	no	—
395	C₂²	C₂×D₄×D₁₉	1	2	yes	—
396	C₂²	#10597435	1	4	yes	complemented
397	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
398	C₄	—	2	2	no	—
399	C₄	—	2	2	no	—
400	C₄	—	2	4	no	—
401	C₄	—	38	2	no	—
402	C₄	—	38	4	no	—
403	C₄	C₂×D₄×D₁₉	1	2	yes	—
404	C₄	C₂×D₄×D₁₉	1	2	yes	—
405	C₂	—	2	2	no	—
406	C₂	—	2	4	no	—
407	C₂	—	4	2	no	—
408	C₂	—	38	8	no	—
409	C₂	—	76	4	no	—
410	C₂	—	76	2	no	—
411	C₂	C₂²×D₄×D₁₉	1	1	yes	characteristic
412	C₂	C₂×#10597435	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#525	C₂
hypercenter	#525	D₁₉
hypocenter	C₁₉	#3484
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ #525

Complements

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

N	H ≅ G/N	type
1. C₂×#10597435	C₂	semidirect
2. C₂³×D₇₆	C₂	semidirect
3. #11927190	C₂	semidirect
4. #11927185	C₂	semidirect
5. D₄×D₇₆	C₂	semidirect
6. #11927178	C₂	semidirect
7. #11927113	C₂	semidirect
8. #11927108	C₂	semidirect
9. #11927105	C₂	semidirect
10. #11927055	C₂	semidirect
11. #120×D₁₉	C₂	semidirect
12. #11927018	C₂	semidirect
13. C₁₉×#525	C₂	semidirect
14. C₂⁴×D₁₉	C₂²	semidirect
15. C₂×#41×C₁₉	C₂²	semidirect
16. C₂³×C₄×C₁₉	C₂²	semidirect
18. C₂×#64545	C₂²	semidirect
19. C₂×D₄×D₁₉	C₂²	semidirect
20. C₂×D₄×D₁₉	C₂²	semidirect
21. C₂×D₄×D₁₉	C₂²	semidirect
22. C₂×#64541	C₂²	semidirect
23. C₂×#64541	C₂²	semidirect
26. C₂²×D₇₆	C₂²	semidirect
27. C₂²×D₇₆	C₂²	semidirect
28. C₂²×D₇₆	C₂²	semidirect
29. C₂²×D₇₆	C₂²	semidirect
30. C₂²×D₇₆	C₂²	semidirect
31. C₁₉×#123	C₂²	semidirect
32. C₁₉×C₂²⋊Q₈	C₂²	semidirect
33. C₁₉×#121	C₂²	semidirect
34. C₁₉×#120	C₂²	semidirect
35. C₄×D₄×C₁₉	C₂²	semidirect
36. C₁₉×#117	C₂²	semidirect
37. #10597399	C₂²	semidirect
38. #10597393	C₂²	semidirect
39. #10597386	C₂²	semidirect
40. #10597383	C₂²	semidirect
41. #10597383	C₂²	semidirect
42. #10597376	C₂²	semidirect
43. #10597376	C₂²	semidirect
44. #10597375	C₂²	semidirect
45. C₄×C₂²⋊D₁₉	C₂²	semidirect
46. #10597372	C₂²	semidirect
47. #10597370	C₂²	semidirect
48. #10597341	C₂²	semidirect
49. #10597341	C₂²	semidirect
50. #10597340	C₂²	semidirect
51. #10597339	C₂²	semidirect
52. #10597330	C₂²	semidirect
53. #10597328	C₂²	semidirect
54. #10597328	C₂²	semidirect
55. #10597328	C₂²	semidirect
56. C₂²⋊C₄×D₁₉	C₂²	semidirect
57. C₂²⋊C₄×D₁₉	C₂²	semidirect
58. #10597321	C₂²	semidirect
59. #10597320	C₂²	semidirect
60. C₄×D₇₆	C₂²	semidirect
67. C₂³×D₁₉	C₂³	semidirect
69. C₂×Q₈×C₁₉	C₂³	semidirect
72. C₂×D₄×C₁₉	C₂³	semidirect
78. C₂²×C₄×C₁₉	C₂³	semidirect
81. C₂×C₂²⋊D₁₉	C₂³	semidirect
82. C₂×C₂²⋊D₁₉	C₂³	semidirect
94. C₂×D₇₆	D₄	semidirect
100. C₂×D₇₆	C₂³	semidirect
101. C₂×D₇₆	C₂³	semidirect
102. C₂×D₇₆	C₂³	semidirect
103. C₂×C₄×D₁₉	C₂³	semidirect
104. C₂×C₄×D₁₉	C₂³	semidirect
105. C₂×C₄×D₁₉	C₂³	semidirect
106. C₂×Dic₃₈	C₂³	semidirect
107. C₄⋊C₄×C₁₉	C₂³	semidirect
108. C₄⋊C₄×C₁₉	C₂³	semidirect
111. C₂²⋊C₄×C₁₉	C₂³	semidirect
112. C₄²×C₁₉	C₂³	semidirect
115. (C₂×D₁₉)⋊C₄	C₂³	semidirect
116. (C₂×D₁₉)⋊C₄	C₂³	semidirect
117. (C₂×D₁₉)⋊C₄	C₂³	semidirect
118. (C₂×D₁₉)⋊C₄	C₂³	semidirect
119. C₄⋊Dic₁₉	C₂³	semidirect
120. Dic₁₉⋊C₄	C₂³	semidirect
121. C₄×Dic₁₉	C₂³	semidirect
136. C₂²×D₁₉	C₂×D₄	semidirect
148. C₂×C₄×C₁₉	C₂×D₄	semidirect
166. D₇₆	C₂×D₄	semidirect
167. D₇₆	C₂×D₄	semidirect
180. C₂²×C₁₉	H(5,𝔽₂)	semidirect
209. #525	D₁₉	semidirect
225. C₂×#41	C₂×D₁₉	semidirect
236. C₂³×C₄	C₂×D₁₉	semidirect
243. #123	C₂×D₁₉	semidirect
245. C₂²⋊Q₈	C₂×D₁₉	semidirect
251. #121	C₂×D₁₉	semidirect
258. #120	C₂×D₁₉	semidirect
262. C₄×D₄	C₂×D₁₉	semidirect
264. #117	C₂×D₁₉	semidirect
267. C₁₉	#3484	semidirect
280. C₂×Q₈	C₂²×D₁₉	semidirect
304. C₂×D₄	C₂²×D₁₉	semidirect
313. C₂²×C₄	C₂²×D₁₉	semidirect
316. C₄⋊C₄	C₂²×D₁₉	semidirect
317. C₄⋊C₄	C₂²×D₁₉	semidirect
326. C₂²⋊C₄	C₂²×D₁₉	semidirect
328. C₄²	C₂²×D₁₉	semidirect
373. C₂×C₄	D₄×D₁₉	semidirect
396. C₂²	#10597435	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10597435	2
C₂³×D₇₆	2
#11927190	2
#11927185	2
D₄×D₇₆	2
#11927178	2
#11927113	2
#11927108	2
#11927105	2
#11927055	2
#120×D₁₉	2
#11927018	2
C₁₉×#525	2
#3484	19