Subgroups — C₂×#11927187 #14577083

Order 2432.

1900 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#64545	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×D₄×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927187	C₂	1	16	yes	maximal, direct product factor
4	C₂×#10597329	C₂	1	2	yes	maximal, complemented
5	C₂×#10597392	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#10597330	C₂	1	2	yes	maximal, complemented
7	C₂×#10597384	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#10597328	C₂	1	2	yes	maximal, complemented
9	C₂×C₄×D₇₆	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₄×D₇₆	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₂²⋊C₄×D₁₉	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₉×#124	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂⁴×D₁₉	C₂²	1	2	yes	—
14	C₂²×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
15	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic
16	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	—
17	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
18	C₂×#64545	—	2	8	no	—
19	C₂×#64545	C₂²	1	8	yes	complemented
20	C₂×D₄×D₁₉	—	2	8	no	—
21	C₂×D₄×D₁₉	C₂²	1	8	yes	complemented
22	C₂²×D₇₆	C₂²	1	1	yes	characteristic
23	C₂²×D₇₆	C₂²	1	1	yes	characteristic
24	C₂²×D₇₆	C₂²	1	2	yes	complemented
25	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic
26	C₂²×C₄×D₁₉	C₂²	1	2	yes	complemented
27	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
28	C₂²×C₄×D₁₉	C₂²	1	2	yes	complemented
29	C₁₉×#124	C₂²	1	8	yes	complemented
30	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	complemented
31	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	complemented
32	C₂×C₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₂²⋊Dic₁₉	C₂²	1	2	yes	complemented
34	#10597392	C₂²	1	8	yes	complemented
35	#10597384	C₂²	1	8	yes	complemented
36	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	2	yes	—
38	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	2	yes	complemented
39	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×Dic₁₉⋊C₄	C₂²	1	2	yes	complemented
43	#10597330	C₂²	1	16	yes	complemented
44	#10597329	C₂²	1	16	yes	complemented
45	#10597328	C₂²	1	16	yes	complemented
46	C₂²⋊C₄×D₁₉	C₂²	1	16	yes	complemented
47	C₄×D₇₆	C₂²	1	8	yes	complemented
48	C₄×D₇₆	C₂²	1	8	yes	complemented
49	C₂⁴×C₁₉	C₂³	1	2	yes	—
50	C₂³×D₁₉	—	2	8	no	—
51	C₂³×D₁₉	—	2	8	no	—
52	C₂³×D₁₉	—	4	4	no	—
53	C₂³×D₁₉	C₂³	1	1	yes	characteristic
54	C₂³×D₁₉	C₂³	1	8	yes	—
55	C₂³×D₁₉	C₂³	1	2	yes	—
56	C₂³×D₁₉	C₂³	1	1	yes	characteristic
57	C₂×Q₈×C₁₉	—	2	4	no	—
58	C₂×Q₈×C₁₉	C₂³	1	4	yes	complemented
59	C₂×D₄×C₁₉	—	2	4	no	—
60	C₂×D₄×C₁₉	C₂³	1	4	yes	—
61	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
62	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
63	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
64	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₁₉	—	2	8	no	—
66	C₂×C₂²⋊D₁₉	—	4	4	no	—
67	C₂×C₂²⋊D₁₉	C₂³	1	8	yes	—
68	C₂×C₂²⋊D₁₉	C₂³	1	8	yes	complemented
69	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
70	C₂²×Dic₁₉	C₂³	1	2	yes	—
71	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
72	#64545	—	2	32	no	—
73	D₄×D₁₉	—	2	32	no	—
74	C₂×D₇₆	—	2	8	no	—
75	C₂×D₇₆	—	2	4	no	—
76	C₂×D₇₆	D₄	1	8	yes	complemented
77	C₂×D₇₆	C₂³	1	4	yes	—
78	C₂×D₇₆	C₂³	1	4	yes	—
79	C₂×D₇₆	C₂³	1	8	yes	complemented
80	C₂×C₄×D₁₉	—	2	8	no	—
81	C₂×C₄×D₁₉	—	2	4	no	—
82	C₂×C₄×D₁₉	—	2	4	no	—
83	C₂×C₄×D₁₉	—	4	4	no	—
84	C₂×C₄×D₁₉	C₂³	1	4	yes	—
85	C₂×C₄×D₁₉	C₂³	1	4	yes	complemented
86	C₂×C₄×D₁₉	C₂³	1	8	yes	complemented
87	C₂×C₄×D₁₉	C₂³	1	8	yes	complemented
88	C₂²⋊C₄×C₁₉	C₂³	1	8	yes	complemented
89	C₂²⋊C₄×C₁₉	C₂³	1	8	yes	complemented
90	C₄²×C₁₉	C₂³	1	4	yes	complemented
91	C₂²⋊Dic₁₉	C₂³	1	8	yes	complemented
92	(C₂×D₁₉)⋊C₄	C₂³	1	8	yes	—
93	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	—
94	(C₂×D₁₉)⋊C₄	C₂³	1	8	yes	complemented
95	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	complemented
96	C₄⋊Dic₁₉	C₂³	1	4	yes	complemented
97	C₄⋊Dic₁₉	C₂³	1	4	yes	complemented
98	Dic₁₉⋊C₄	C₂³	1	8	yes	complemented
99	C₂³×C₁₉	—	2	4	no	—
100	C₂³×C₁₉	—	2	4	no	—
101	C₂³×C₁₉	—	2	4	no	—
102	C₂³×C₁₉	C₂⁴	1	4	yes	—
103	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
104	C₂²×D₁₉	—	2	2	no	—
105	C₂²×D₁₉	—	2	4	no	—
106	C₂²×D₁₉	—	2	4	no	—
107	C₂²×D₁₉	—	2	2	no	—
108	C₂²×D₁₉	—	2	2	no	—
109	C₂²×D₁₉	—	2	2	no	—
110	C₂²×D₁₉	—	2	2	no	—
111	C₂²×D₁₉	—	2	16	no	—
112	C₂²×D₁₉	—	2	16	no	—
113	C₂²×D₁₉	—	4	8	no	—
114	C₂²×D₁₉	—	4	32	no	—
115	C₂²×D₁₉	C₂×D₄	1	8	yes	—
116	C₂²×D₁₉	#41	1	4	yes	complemented
117	C₂²×D₁₉	C₂⁴	1	2	yes	—
118	C₂²×D₁₉	C₂⁴	1	4	yes	—
119	C₂²×D₁₉	C₂⁴	1	2	yes	—
120	Q₈×C₁₉	—	2	8	no	—
121	D₄×C₁₉	—	2	8	no	—
122	C₂×C₄×C₁₉	—	2	4	no	—
123	C₂×C₄×C₁₉	—	2	2	no	—
124	C₂×C₄×C₁₉	—	2	2	no	—
125	C₂×C₄×C₁₉	C₂×D₄	1	4	yes	—
126	C₂×C₄×C₁₉	C₂⁴	1	4	yes	—
127	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
128	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
129	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
130	C₂²⋊D₁₉	—	2	16	no	—
131	C₂²⋊D₁₉	—	4	8	no	—
132	C₂×Dic₁₉	—	2	2	no	—
133	C₂×Dic₁₉	—	2	2	no	—
134	C₂×Dic₁₉	—	2	4	no	—
135	C₂×Dic₁₉	C₂⁴	1	2	yes	—
136	C₂×Dic₁₉	C₂⁴	1	4	yes	—
137	C₂×Dic₁₉	C₂⁴	1	2	yes	—
138	D₇₆	—	2	16	no	—
139	D₇₆	—	2	8	no	—
140	D₇₆	C₂×D₄	1	16	yes	complemented
141	C₄×D₁₉	—	2	16	no	—
142	C₄×D₁₉	—	2	8	no	—
143	C₄×D₁₉	—	2	8	no	—
144	C₄×D₁₉	—	4	8	no	—
145	C₂×#546	—	19	1	no	maximal, Sylow
146	C₂²×C₁₉	—	2	4	no	—
147	C₂²×C₁₉	—	2	4	no	—
148	C₂²×C₁₉	—	2	4	no	—
149	C₂²×C₁₉	—	4	8	no	—
150	C₂²×C₁₉	C₂²×D₄	1	2	yes	—
151	C₂²×C₁₉	C₂×#41	1	2	yes	—
152	C₂²×C₁₉	H(5,𝔽₂)	1	2	yes	—
153	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
154	C₂×D₁₉	—	2	8	no	—
155	C₂×D₁₉	—	2	16	no	—
156	C₂×D₁₉	—	2	2	no	—
157	C₂×D₁₉	—	2	4	no	—
158	C₂×D₁₉	—	2	4	no	—
159	C₂×D₁₉	—	2	2	no	—
160	C₂×D₁₉	—	2	2	no	—
161	C₂×D₁₉	—	2	2	no	—
162	C₂×D₁₉	—	2	2	no	—
163	C₂×D₁₉	—	4	32	no	—
164	C₂×D₁₉	—	4	4	no	—
165	C₂×D₁₉	C₂²×D₄	1	8	yes	—
166	C₂×D₁₉	C₂×#41	1	4	yes	complemented
167	C₄×C₁₉	—	2	4	no	—
168	C₄×C₁₉	—	2	2	no	—
169	C₄×C₁₉	—	2	2	no	—
170	C₄×C₁₉	C₂²×D₄	1	4	yes	—
171	Dic₁₉	—	2	2	no	—
172	Dic₁₉	—	2	2	no	—
173	Dic₁₉	—	2	4	no	—
174	C₂²×#41	—	19	1	no	—
175	C₂³×D₄	—	19	1	no	—
176	#546	—	19	16	no	—
177	C₂×#124	D₁₉	1	1	yes	characteristic, complemented
178	C₂×#123	—	19	2	no	—
179	C₂×C₂²⋊Q₈	—	19	1	no	—
180	C₂×#121	—	19	1	no	—
181	C₂×#121	—	19	2	no	—
182	C₂×#120	—	19	2	no	—
183	C₂×C₄×D₄	—	19	1	no	—
184	C₂×C₄×D₄	—	19	1	no	—
185	C₂²×C₂²⋊C₄	—	19	2	no	—
186	C₂×C₁₉	—	4	4	no	—
187	C₂×C₁₉	#546	1	4	yes	complemented
188	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
189	C₂×C₁₉	C₂²×#41	1	1	yes	characteristic
190	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
191	D₁₉	—	2	4	no	—
192	D₁₉	—	2	8	no	—
193	D₁₉	—	4	2	no	—
194	C₂⁵	—	19	2	no	—
195	C₂×#41	—	19	8	no	—
196	C₂×#41	—	38	8	no	—
197	C₂²×Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
198	C₂²×D₄	—	19	2	no	—
199	C₂²×D₄	—	19	2	no	—
200	C₂²×D₄	—	19	8	no	—
201	C₂²×D₄	—	19	1	no	—
202	C₂²×D₄	—	19	1	no	—
203	C₂²×D₄	—	19	2	no	—
204	C₂²×D₄	—	38	8	no	—
205	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic
206	C₂³×C₄	—	19	2	no	—
207	C₂³×C₄	—	19	1	no	—
208	C₂³×C₄	—	19	1	no	—
209	C₂³×C₄	—	19	2	no	—
210	#124	C₂×D₁₉	1	8	yes	complemented
211	#123	—	19	16	no	—
212	C₂²⋊Q₈	—	19	8	no	—
213	#121	—	19	8	no	—
214	#121	—	19	16	no	—
215	#120	—	19	16	no	—
216	C₄×D₄	—	19	8	no	—
217	C₄×D₄	—	19	8	no	—
218	C₂×C₄⋊C₄	—	19	1	no	—
219	C₂×C₄⋊C₄	—	19	1	no	—
220	C₂×C₄⋊C₄	—	19	2	no	—
221	C₂×C₂²⋊C₄	—	19	2	no	—
222	C₂×C₂²⋊C₄	—	19	1	no	—
223	C₂×C₂²⋊C₄	—	19	2	no	—
224	C₂×C₂²⋊C₄	—	19	2	no	—
225	C₂×C₂²⋊C₄	—	19	1	no	—
226	C₂×C₂²⋊C₄	—	19	16	no	—
227	C₂×C₂²⋊C₄	C₂×D₁₉	1	2	yes	complemented
228	C₂×C₂²⋊C₄	C₂×D₁₉	1	2	yes	complemented
229	C₂×C₄²	C₂×D₁₉	1	1	yes	characteristic, complemented
230	C₁₉	C₂×#546	1	1	yes	characteristic, complemented, Sylow
231	C₂⁴	—	19	1	no	—
232	C₂⁴	—	19	2	no	—
233	C₂⁴	—	19	1	no	—
234	C₂⁴	—	19	8	no	—
235	C₂⁴	—	38	8	no	—
236	C₂⁴	—	38	8	no	—
237	C₂⁴	—	76	4	no	—
238	C₂⁴	C₂²×D₁₉	1	2	yes	—
239	#41	—	38	32	no	—
240	C₂×Q₈	—	2	4	no	—
241	C₂×Q₈	C₂²×D₁₉	1	4	yes	complemented
242	C₂×D₄	—	2	4	no	—
243	C₂×D₄	—	19	8	no	—
244	C₂×D₄	—	19	8	no	—
245	C₂×D₄	—	19	8	no	—
246	C₂×D₄	—	19	4	no	—
247	C₂×D₄	—	19	4	no	—
248	C₂×D₄	—	19	8	no	—
249	C₂×D₄	—	38	4	no	—
250	C₂×D₄	—	38	8	no	—
251	C₂×D₄	—	38	32	no	—
252	C₂×D₄	—	38	8	no	—
253	C₂×D₄	—	76	4	no	—
254	C₂×D₄	C₂²×D₁₉	1	4	yes	—
255	C₂²×C₄	—	19	2	no	—
256	C₂²×C₄	—	19	1	no	—
257	C₂²×C₄	—	19	1	no	—
258	C₂²×C₄	—	19	4	no	—
259	C₂²×C₄	—	19	8	no	—
260	C₂²×C₄	—	19	4	no	—
261	C₂²×C₄	—	19	8	no	—
262	C₂²×C₄	—	38	8	no	—
263	C₂²×C₄	—	38	4	no	—
264	C₂²×C₄	—	38	4	no	—
265	C₂²×C₄	—	76	4	no	—
266	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
267	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
268	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
269	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
270	C₄⋊C₄	—	19	8	no	—
271	C₄⋊C₄	—	19	4	no	—
272	C₄⋊C₄	—	19	4	no	—
273	C₂²⋊C₄	—	19	8	no	—
274	C₂²⋊C₄	—	19	4	no	—
275	C₂²⋊C₄	—	19	8	no	—
276	C₂²⋊C₄	—	19	8	no	—
277	C₂²⋊C₄	—	19	4	no	—
278	C₂²⋊C₄	C₂²×D₁₉	1	8	yes	complemented
279	C₂²⋊C₄	C₂²×D₁₉	1	8	yes	complemented
280	C₄²	C₂²×D₁₉	1	4	yes	complemented
281	C₂³	—	2	4	no	—
282	C₂³	—	2	4	no	—
283	C₂³	—	2	4	no	—
284	C₂³	—	19	8	no	—
285	C₂³	—	19	4	no	—
286	C₂³	—	19	2	no	—
287	C₂³	—	19	4	no	—
288	C₂³	—	19	2	no	—
289	C₂³	—	38	16	no	—
290	C₂³	—	38	16	no	—
291	C₂³	—	38	2	no	—
292	C₂³	—	38	4	no	—
293	C₂³	—	38	4	no	—
294	C₂³	—	38	2	no	—
295	C₂³	—	38	2	no	—
296	C₂³	—	38	2	no	—
297	C₂³	—	38	2	no	—
298	C₂³	—	76	8	no	—
299	C₂³	—	76	32	no	—
300	C₂³	C₂³×D₁₉	1	4	yes	—
301	C₂³	C₂³×D₁₉	1	1	yes	characteristic
302	Q₈	—	2	8	no	—
303	D₄	—	2	8	no	—
304	D₄	—	19	16	no	—
305	D₄	—	38	16	no	—
306	D₄	—	38	8	no	—
307	D₄	—	38	16	no	—
308	D₄	—	76	8	no	—
309	C₂×C₄	—	2	4	no	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	2	2	no	—
312	C₂×C₄	—	19	4	no	—
313	C₂×C₄	—	19	2	no	—
314	C₂×C₄	—	19	2	no	—
315	C₂×C₄	—	38	16	no	—
316	C₂×C₄	—	38	2	no	—
317	C₂×C₄	—	38	2	no	—
318	C₂×C₄	—	38	4	no	—
319	C₂×C₄	—	38	8	no	—
320	C₂×C₄	—	38	8	no	—
321	C₂×C₄	—	76	8	no	—
322	C₂×C₄	D₄×D₁₉	1	4	yes	—
323	C₂×C₄	C₂³×D₁₉	1	2	yes	—
324	C₂×C₄	C₂³×D₁₉	1	2	yes	—
325	C₂×C₄	C₂³×D₁₉	1	4	yes	—
326	C₂×C₄	C₂³×D₁₉	1	2	yes	—
327	C₂²	—	2	4	no	—
328	C₂²	—	2	4	no	—
329	C₂²	—	2	4	no	—
330	C₂²	—	4	8	no	—
331	C₂²	—	19	8	no	—
332	C₂²	—	19	4	no	—
333	C₂²	—	38	2	no	—
334	C₂²	—	38	4	no	—
335	C₂²	—	38	4	no	—
336	C₂²	—	38	2	no	—
337	C₂²	—	38	8	no	—
338	C₂²	—	38	16	no	—
339	C₂²	—	38	2	no	—
340	C₂²	—	38	2	no	—
341	C₂²	—	38	2	no	—
342	C₂²	—	76	32	no	—
343	C₂²	—	76	4	no	—
344	C₂²	C₂×D₄×D₁₉	1	2	yes	—
345	C₂²	#41×D₁₉	1	2	yes	—
346	C₂²	#10597435	1	2	yes	—
347	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
348	C₄	—	2	4	no	—
349	C₄	—	2	2	no	—
350	C₄	—	2	2	no	—
351	C₄	—	38	2	no	—
352	C₄	—	38	2	no	—
353	C₄	—	38	4	no	—
354	C₄	C₂×D₄×D₁₉	1	4	yes	—
355	C₂	—	4	4	no	—
356	C₂	—	38	4	no	—
357	C₂	—	38	8	no	—
358	C₂	—	76	2	no	—
359	C₂	#11927187	1	4	yes	direct product factor
360	C₂	C₂²×D₄×D₁₉	1	1	yes	characteristic
361	C₂	C₂×#41×D₁₉	1	1	yes	characteristic
362	C₂	C₂×#10597435	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂³×D₁₉
commutator, cosocle	C₂²×C₁₉	C₂⁵
Frattini	C₂²	C₂⁴×D₁₉
Fitting	C₂×C₁₉×#124	C₂
socle	C₂³×C₁₉	C₂⁴
hypercenter	C₂×#124	D₁₉
hypocenter	C₁₉	C₂×#546
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂×#124

Complements

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

N	H ≅ G/N	type
1. C₂²×#64545	C₂	semidirect
2. C₂²×D₄×D₁₉	C₂	semidirect
3. #11927187	C₂	direct (N × H)
4. C₂×#10597329	C₂	semidirect
5. C₂×#10597392	C₂	semidirect
6. C₂×#10597330	C₂	semidirect
7. C₂×#10597384	C₂	semidirect
8. C₂×#10597328	C₂	semidirect
9. C₂×C₄×D₇₆	C₂	semidirect
10. C₂×C₄×D₇₆	C₂	semidirect
11. C₂×C₂²⋊C₄×D₁₉	C₂	semidirect
12. C₂×C₁₉×#124	C₂	semidirect
14. C₂²×Q₈×C₁₉	C₂²	semidirect
17. C₂²×C₂²⋊D₁₉	C₂²	semidirect
19. C₂×#64545	C₂²	semidirect
21. C₂×D₄×D₁₉	C₂²	semidirect
24. C₂²×D₇₆	C₂²	semidirect
26. C₂²×C₄×D₁₉	C₂²	semidirect
27. C₂²×C₄×D₁₉	C₂²	semidirect
28. C₂²×C₄×D₁₉	C₂²	semidirect
29. C₁₉×#124	C₂²	semidirect
30. C₂×C₂²⋊C₄×C₁₉	C₂²	semidirect
31. C₂×C₂²⋊C₄×C₁₉	C₂²	semidirect
32. C₂×C₄²×C₁₉	C₂²	semidirect
33. C₂×C₂²⋊Dic₁₉	C₂²	semidirect
34. #10597392	C₂²	semidirect
35. #10597384	C₂²	semidirect
38. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
39. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
40. C₂×C₄⋊Dic₁₉	C₂²	semidirect
41. C₂×C₄⋊Dic₁₉	C₂²	semidirect
42. C₂×Dic₁₉⋊C₄	C₂²	semidirect
43. #10597330	C₂²	semidirect
44. #10597329	C₂²	semidirect
45. #10597328	C₂²	semidirect
46. C₂²⋊C₄×D₁₉	C₂²	semidirect
47. C₄×D₇₆	C₂²	semidirect
48. C₄×D₇₆	C₂²	semidirect
58. C₂×Q₈×C₁₉	C₂³	semidirect
68. C₂×C₂²⋊D₁₉	C₂³	semidirect
76. C₂×D₇₆	D₄	semidirect
79. C₂×D₇₆	C₂³	semidirect
85. C₂×C₄×D₁₉	C₂³	semidirect
86. C₂×C₄×D₁₉	C₂³	semidirect
87. C₂×C₄×D₁₉	C₂³	semidirect
88. C₂²⋊C₄×C₁₉	C₂³	semidirect
89. C₂²⋊C₄×C₁₉	C₂³	semidirect
90. C₄²×C₁₉	C₂³	semidirect
91. C₂²⋊Dic₁₉	C₂³	semidirect
94. (C₂×D₁₉)⋊C₄	C₂³	semidirect
95. (C₂×D₁₉)⋊C₄	C₂³	semidirect
96. C₄⋊Dic₁₉	C₂³	semidirect
97. C₄⋊Dic₁₉	C₂³	semidirect
98. Dic₁₉⋊C₄	C₂³	semidirect
116. C₂²×D₁₉	#41	semidirect
140. D₇₆	C₂×D₄	semidirect
166. C₂×D₁₉	C₂×#41	semidirect
177. C₂×#124	D₁₉	semidirect
187. C₂×C₁₉	#546	semidirect
197. C₂²×Q₈	C₂×D₁₉	semidirect
210. #124	C₂×D₁₉	semidirect
227. C₂×C₂²⋊C₄	C₂×D₁₉	semidirect
228. C₂×C₂²⋊C₄	C₂×D₁₉	semidirect
229. C₂×C₄²	C₂×D₁₉	semidirect
230. C₁₉	C₂×#546	semidirect
241. C₂×Q₈	C₂²×D₁₉	semidirect
278. C₂²⋊C₄	C₂²×D₁₉	semidirect
279. C₂²⋊C₄	C₂²×D₁₉	semidirect
280. C₄²	C₂²×D₁₉	semidirect
359. C₂	#11927187	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#64545	2
C₂²×D₄×D₁₉	2
#11927187	2
C₂×#10597329	2
C₂×#10597392	2
C₂×#10597330	2
C₂×#10597384	2
C₂×#10597328	2
C₂×C₄×D₇₆	2
C₂×C₂²⋊C₄×D₁₉	2
C₂×C₁₉×#124	2
C₂×#546	19

Subgroups — C2×#11927187 #14577083

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11927187 #14577083