Subgroups — C₂×#11927342 #14578380

Order 2432.

1484 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#64541	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927342	C₂	1	16	yes	maximal, direct product factor
3	C₂×#10597388	C₂	1	2	yes	maximal, complemented
4	C₂×#10597397	C₂	1	2	yes	maximal, complemented
5	C₂×#10597378	C₂	1	2	yes	maximal, complemented
6	C₂×#10597395	C₂	1	2	yes	maximal, complemented
7	C₂×#10597396	C₂	1	4	yes	maximal, complemented
8	C₂²×#64520	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#41×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#41×C₁₉	—	2	1	no	—
11	C₂×#41×C₁₉	—	2	1	no	—
12	C₂×#41×C₁₉	—	2	4	no	—
13	C₂×#41×C₁₉	C₂²	1	2	yes	—
14	C₂×#41×C₁₉	C₂²	1	2	yes	complemented
15	C₂×#41×C₁₉	C₂²	1	8	yes	complemented
16	C₂²×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
17	C₂²×D₄×C₁₉	—	2	1	no	—
18	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
19	C₂³×C₄×C₁₉	—	2	1	no	—
20	C₂³×C₄×C₁₉	C₂²	1	1	yes	characteristic
21	C₂²×C₂²⋊D₁₉	—	2	1	no	—
22	C₂×#64541	—	2	1	no	—
23	C₂×#64541	—	2	4	no	—
24	C₂×#64541	—	2	1	no	—
25	C₂×#64541	C₂²	1	2	yes	—
26	C₂×#64541	C₂²	1	2	yes	complemented
27	C₂×#64541	C₂²	1	8	yes	complemented
28	C₂²×D₇₆	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₄×D₁₉	—	2	1	no	—
30	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
31	#10597397	C₂²	1	16	yes	complemented
32	#10597396	C₂²	1	32	yes	complemented
33	#10597395	C₂²	1	16	yes	complemented
34	C₂×#64528	C₂²	1	4	yes	complemented
35	#10597388	C₂²	1	16	yes	complemented
36	C₂×#64527	C₂²	1	4	yes	complemented
37	C₂×#64526	C₂²	1	4	yes	complemented
38	#10597378	C₂²	1	16	yes	complemented
39	C₂×#64525	C₂²	1	4	yes	complemented
40	C₂×#64520	C₂²	1	2	yes	complemented
41	C₂×#64520	C₂²	1	2	yes	complemented
42	C₂×#64520	C₂²	1	8	yes	complemented
43	C₂²×C₁₉⋊C₈	C₂²	1	2	yes	complemented
44	C₂⁴×C₁₉	—	2	1	no	—
45	C₂⁴×C₁₉	D₄	1	1	yes	characteristic
46	C₂³×D₁₉	—	2	1	no	—
47	#41×C₁₉	—	2	4	no	—
48	#41×C₁₉	—	2	8	no	—
49	#41×C₁₉	—	2	8	no	—
50	#41×C₁₉	—	2	4	no	—
51	#41×C₁₉	C₂³	1	8	yes	—
52	#41×C₁₉	C₂³	1	8	yes	complemented
53	C₂×Q₈×C₁₉	—	2	1	no	—
54	C₂×Q₈×C₁₉	—	2	2	no	—
55	C₂×Q₈×C₁₉	C₂³	1	2	yes	—
56	C₂×Q₈×C₁₉	C₂³	1	4	yes	complemented
57	C₂×D₄×C₁₉	—	2	2	no	—
58	C₂×D₄×C₁₉	—	2	2	no	—
59	C₂×D₄×C₁₉	—	2	8	no	—
60	C₂×D₄×C₁₉	—	2	1	no	—
61	C₂×D₄×C₁₉	—	2	2	no	—
62	C₂×D₄×C₁₉	C₂³	1	2	yes	—
63	C₂×D₄×C₁₉	C₂³	1	4	yes	complemented
64	C₂²×C₄×C₁₉	—	2	1	no	—
65	C₂²×C₄×C₁₉	—	2	2	no	—
66	C₂²×C₄×C₁₉	—	2	8	no	—
67	C₂²×C₄×C₁₉	—	2	2	no	—
68	C₂²×C₄×C₁₉	D₄	1	1	yes	characteristic
69	C₂²×C₄×C₁₉	D₄	1	1	yes	characteristic
70	C₂²×C₄×C₁₉	D₄	1	1	yes	characteristic
71	C₂²×C₄×C₁₉	D₄	1	4	yes	—
72	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
73	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
74	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
75	C₂²×C₄×C₁₉	C₂³	1	4	yes	—
76	C₂×C₂²⋊D₁₉	—	2	2	no	—
77	C₂×C₂²⋊D₁₉	—	2	2	no	—
78	C₂×C₂²⋊D₁₉	—	2	8	no	—
79	C₂²×Dic₁₉	—	2	1	no	—
80	#64541	—	2	4	no	—
81	#64541	—	2	4	no	—
82	#64541	—	2	8	no	—
83	#64541	—	2	8	no	—
84	#64541	C₂³	1	8	yes	—
85	#64541	C₂³	1	8	yes	complemented
86	C₂×D₇₆	—	2	2	no	—
87	C₂×D₇₆	—	2	1	no	—
88	C₂×D₇₆	C₂³	1	2	yes	—
89	C₂×D₇₆	C₂³	1	4	yes	complemented
90	C₂×C₄×D₁₉	—	2	2	no	—
91	C₂×C₄×D₁₉	—	2	8	no	—
92	C₂×C₄×D₁₉	—	2	2	no	—
93	C₂×Dic₃₈	—	2	2	no	—
94	C₂×Dic₃₈	—	2	1	no	—
95	C₂×Dic₃₈	C₂³	1	2	yes	—
96	C₂×Dic₃₈	C₂³	1	4	yes	complemented
97	#64528	C₂³	1	16	yes	complemented
98	#64527	C₂³	1	16	yes	complemented
99	#64526	C₂³	1	16	yes	complemented
100	#64525	C₂³	1	16	yes	complemented
101	#64520	C₂³	1	8	yes	complemented
102	#64520	C₂³	1	8	yes	complemented
103	C₂×C₁₉⋊C₈	C₂³	1	4	yes	—
104	C₂×C₁₉⋊C₈	C₂³	1	8	yes	complemented
105	C₂³×C₁₉	—	2	2	no	—
106	C₂³×C₁₉	—	2	4	no	—
107	C₂³×C₁₉	—	4	2	no	—
108	C₂³×C₁₉	—	4	4	no	—
109	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
110	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
111	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
112	C₂³×C₁₉	C₂×D₄	1	4	yes	—
113	C₂²×D₁₉	—	2	2	no	—
114	C₂²×D₁₉	—	2	4	no	—
115	C₂²×D₁₉	—	4	4	no	—
116	Q₈×C₁₉	—	2	2	no	—
117	Q₈×C₁₉	—	2	4	no	—
118	Q₈×C₁₉	C₂⁴	1	4	yes	—
119	D₄×C₁₉	—	2	8	no	—
120	D₄×C₁₉	—	2	8	no	—
121	D₄×C₁₉	—	2	2	no	—
122	D₄×C₁₉	—	2	4	no	—
123	D₄×C₁₉	C₂⁴	1	4	yes	—
124	C₂×C₄×C₁₉	—	2	2	no	—
125	C₂×C₄×C₁₉	—	2	4	no	—
126	C₂×C₄×C₁₉	—	2	8	no	—
127	C₂×C₄×C₁₉	—	2	8	no	—
128	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
129	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
130	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄×C₁₉	C₂×D₄	1	4	yes	—
132	C₂×C₄×C₁₉	C₂×D₄	1	4	yes	—
133	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
134	C₂×C₄×C₁₉	C₂×D₄	1	4	yes	—
135	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
136	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
137	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
138	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
139	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
140	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
141	C₂²⋊D₁₉	—	2	8	no	—
142	C₂²⋊D₁₉	—	2	8	no	—
143	C₂×Dic₁₉	—	2	2	no	—
144	C₂×Dic₁₉	—	2	4	no	—
145	D₇₆	—	2	2	no	—
146	D₇₆	—	2	4	no	—
147	D₇₆	C₂⁴	1	4	yes	—
148	C₄×D₁₉	—	2	8	no	—
149	C₄×D₁₉	—	2	8	no	—
150	Dic₃₈	—	2	2	no	—
151	Dic₃₈	—	2	4	no	—
152	Dic₃₈	C₂⁴	1	4	yes	—
153	C₁₉⋊C₈	C₂⁴	1	8	yes	—
154	C₂×#575	—	19	1	no	maximal, Sylow
155	C₂²×C₁₉	—	2	2	no	—
156	C₂²×C₁₉	—	2	2	no	—
157	C₂²×C₁₉	—	2	2	no	—
158	C₂²×C₁₉	—	2	4	no	—
159	C₂²×C₁₉	—	4	4	no	—
160	C₂²×C₁₉	—	4	8	no	—
161	C₂²×C₁₉	—	4	4	no	—
162	C₂²×C₁₉	C₂²×D₄	1	2	yes	—
163	C₂²×C₁₉	C₂²×D₄	1	2	yes	—
164	C₂²×C₁₉	C₂²×D₄	1	2	yes	—
165	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
166	C₂×D₁₉	—	2	4	no	—
167	C₂×D₁₉	—	4	8	no	—
168	C₂×D₁₉	—	4	4	no	—
169	C₄×C₁₉	—	2	4	no	—
170	C₄×C₁₉	C₂²×D₄	1	2	yes	—
171	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
172	C₄×C₁₉	C₂²×D₄	1	2	yes	—
173	C₄×C₁₉	C₂²×D₄	1	2	yes	—
174	C₄×C₁₉	C₂⁵	1	1	yes	characteristic
175	Dic₁₉	—	2	4	no	—
176	C₂²×#41	—	19	1	no	—
177	C₂²×#41	D₁₉	1	1	yes	characteristic, complemented
178	#575	—	19	16	no	—
179	C₂×#137	—	19	2	no	—
180	C₂×#137	—	19	2	no	—
181	C₂×AGL(1,ℤ/8)	—	19	2	no	—
182	C₂×AGL(1,ℤ/8)	—	19	2	no	—
183	C₂×#135	—	19	4	no	—
184	C₂²×M₁₆	—	19	1	no	—
185	C₂×C₁₉	—	2	2	no	—
186	C₂×C₁₉	—	2	2	no	—
187	C₂×C₁₉	—	2	2	no	—
188	C₂×C₁₉	—	4	4	no	—
189	C₂×C₁₉	#575	1	2	yes	complemented
190	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
191	D₁₉	—	4	4	no	—
192	C₂×#41	—	2	1	no	—
193	C₂×#41	—	2	4	no	—
194	C₂×#41	—	2	1	no	—
195	C₂×#41	—	19	2	no	—
196	C₂×#41	—	19	2	no	—
197	C₂×#41	—	19	8	no	—
198	C₂×#41	—	38	1	no	—
199	C₂×#41	—	38	4	no	—
200	C₂×#41	—	38	1	no	—
201	C₂×#41	C₂×D₁₉	1	2	yes	—
202	C₂×#41	C₂×D₁₉	1	2	yes	complemented
203	C₂×#41	C₂×D₁₉	1	8	yes	complemented
204	C₂²×Q₈	—	19	1	no	—
205	C₂²×Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
206	C₂²×D₄	—	2	1	no	—
207	C₂²×D₄	—	19	1	no	—
208	C₂²×D₄	—	38	1	no	—
209	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
210	C₂³×C₄	—	2	1	no	—
211	C₂³×C₄	—	38	1	no	—
212	C₂³×C₄	C₂×D₁₉	1	1	yes	characteristic
213	#137	—	19	16	no	—
214	#137	—	19	16	no	—
215	AGL(1,ℤ/8)	—	19	16	no	—
216	AGL(1,ℤ/8)	—	19	16	no	—
217	#135	—	19	32	no	—
218	C₂×Q₁₆	—	19	4	no	—
219	C₂×SD₁₆	—	19	4	no	—
220	C₂×SD₁₆	—	19	4	no	—
221	C₂×D₈	—	19	4	no	—
222	C₂×M₁₆	—	19	2	no	—
223	C₂×M₁₆	—	19	2	no	—
224	C₂×M₁₆	—	19	8	no	—
225	C₂²×C₈	—	19	2	no	—
226	C₁₉	C₂×#575	1	1	yes	characteristic, complemented, Sylow
227	C₂⁴	—	2	1	no	—
228	C₂⁴	—	38	1	no	—
229	C₂⁴	C₂²⋊D₁₉	1	1	yes	characteristic
230	#41	—	2	4	no	—
231	#41	—	2	8	no	—
232	#41	—	2	8	no	—
233	#41	—	2	4	no	—
234	#41	—	19	8	no	—
235	#41	—	19	8	no	—
236	#41	—	38	8	no	—
237	#41	—	38	4	no	—
238	#41	—	38	4	no	—
239	#41	—	38	8	no	—
240	#41	C₂²×D₁₉	1	8	yes	—
241	#41	C₂²×D₁₉	1	8	yes	complemented
242	C₂×Q₈	—	2	1	no	—
243	C₂×Q₈	—	2	2	no	—
244	C₂×Q₈	—	19	2	no	—
245	C₂×Q₈	—	19	4	no	—
246	C₂×Q₈	—	38	1	no	—
247	C₂×Q₈	—	38	2	no	—
248	C₂×Q₈	C₂²×D₁₉	1	2	yes	—
249	C₂×Q₈	C₂²×D₁₉	1	4	yes	complemented
250	C₂×D₄	—	2	2	no	—
251	C₂×D₄	—	2	2	no	—
252	C₂×D₄	—	2	8	no	—
253	C₂×D₄	—	2	1	no	—
254	C₂×D₄	—	2	2	no	—
255	C₂×D₄	—	19	2	no	—
256	C₂×D₄	—	19	4	no	—
257	C₂×D₄	—	38	2	no	—
258	C₂×D₄	—	38	2	no	—
259	C₂×D₄	—	38	8	no	—
260	C₂×D₄	—	38	1	no	—
261	C₂×D₄	—	38	2	no	—
262	C₂×D₄	C₂²×D₁₉	1	2	yes	—
263	C₂×D₄	C₂²×D₁₉	1	4	yes	complemented
264	C₂²×C₄	—	2	1	no	—
265	C₂²×C₄	—	2	2	no	—
266	C₂²×C₄	—	2	8	no	—
267	C₂²×C₄	—	2	2	no	—
268	C₂²×C₄	—	38	1	no	—
269	C₂²×C₄	—	38	2	no	—
270	C₂²×C₄	—	38	8	no	—
271	C₂²×C₄	—	38	2	no	—
272	C₂²×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
273	C₂²×C₄	C₂²⋊D₁₉	1	4	yes	—
274	C₂²×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
275	C₂²×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
276	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
277	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
278	C₂²×C₄	C₂²×D₁₉	1	4	yes	—
279	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
280	Q₁₆	—	19	16	no	—
281	SD₁₆	—	19	16	no	—
282	SD₁₆	—	19	16	no	—
283	D₈	—	19	16	no	—
284	M₁₆	—	19	8	no	—
285	M₁₆	—	19	8	no	—
286	C₂×C₈	—	19	4	no	—
287	C₂×C₈	—	19	8	no	—
288	C₂³	—	2	2	no	—
289	C₂³	—	2	4	no	—
290	C₂³	—	4	2	no	—
291	C₂³	—	4	4	no	—
292	C₂³	—	38	4	no	—
293	C₂³	—	38	2	no	—
294	C₂³	—	76	4	no	—
295	C₂³	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
296	C₂³	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
297	C₂³	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
298	C₂³	C₂×C₂²⋊D₁₉	1	4	yes	—
299	Q₈	—	2	2	no	—
300	Q₈	—	2	4	no	—
301	Q₈	—	19	4	no	—
302	Q₈	—	38	4	no	—
303	Q₈	—	38	2	no	—
304	Q₈	C₂³×D₁₉	1	4	yes	—
305	D₄	—	2	8	no	—
306	D₄	—	2	8	no	—
307	D₄	—	2	2	no	—
308	D₄	—	2	4	no	—
309	D₄	—	19	4	no	—
310	D₄	—	38	8	no	—
311	D₄	—	38	8	no	—
312	D₄	—	38	4	no	—
313	D₄	—	38	2	no	—
314	D₄	C₂³×D₁₉	1	4	yes	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	4	no	—
317	C₂×C₄	—	2	8	no	—
318	C₂×C₄	—	2	8	no	—
319	C₂×C₄	—	38	4	no	—
320	C₂×C₄	—	38	2	no	—
321	C₂×C₄	—	38	8	no	—
322	C₂×C₄	—	38	8	no	—
323	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
324	C₂×C₄	C₂×C₂²⋊D₁₉	1	4	yes	—
325	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
326	C₂×C₄	C₂×C₂²⋊D₁₉	1	4	yes	—
327	C₂×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
328	C₂×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
329	C₂×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
330	C₂×C₄	C₂×C₂²⋊D₁₉	1	4	yes	—
331	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
332	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
333	C₂×C₄	C₂³×D₁₉	1	2	yes	—
334	C₂×C₄	C₂³×D₁₉	1	2	yes	—
335	C₂×C₄	C₂³×D₁₉	1	2	yes	—
336	C₈	—	19	8	no	—
337	C₂²	—	2	2	no	—
338	C₂²	—	2	2	no	—
339	C₂²	—	2	2	no	—
340	C₂²	—	2	4	no	—
341	C₂²	—	4	4	no	—
342	C₂²	—	4	8	no	—
343	C₂²	—	4	4	no	—
344	C₂²	—	38	4	no	—
345	C₂²	—	76	8	no	—
346	C₂²	—	76	4	no	—
347	C₂²	C₂²×C₂²⋊D₁₉	1	2	yes	—
348	C₂²	C₂²×C₂²⋊D₁₉	1	2	yes	—
349	C₂²	C₂²×C₂²⋊D₁₉	1	2	yes	—
350	C₂²	C₂²×C₂²⋊D₁₉	1	1	yes	characteristic
351	C₄	—	2	4	no	—
352	C₄	—	38	4	no	—
353	C₄	C₂²×C₂²⋊D₁₉	1	2	yes	—
354	C₄	C₂²×C₂²⋊D₁₉	1	2	yes	—
355	C₄	C₂²×C₂²⋊D₁₉	1	2	yes	—
356	C₄	C₂²×C₂²⋊D₁₉	1	1	yes	characteristic
357	C₄	C₂⁴×D₁₉	1	1	yes	characteristic
358	C₂	—	2	2	no	—
359	C₂	—	2	2	no	—
360	C₂	—	2	2	no	—
361	C₂	—	4	4	no	—
362	C₂	—	76	4	no	—
363	C₂	#11927342	1	2	yes	direct product factor
364	C₂	C₂³×C₂²⋊D₁₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×C₂²⋊D₁₉
commutator, cosocle	C₄×C₁₉	C₂⁵
Frattini	C₄	C₂⁴×D₁₉
Fitting	C₂²×#41×C₁₉	C₂
socle	C₂²×C₁₉	C₂²×D₄
hypercenter	C₂²×#41	D₁₉
hypocenter	C₁₉	C₂×#575
LCS	G ▷ C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ C₂²×#41

Complements

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

N	H ≅ G/N	type
1. C₂²×#64541	C₂	semidirect
2. #11927342	C₂	direct (N × H)
3. C₂×#10597388	C₂	semidirect
4. C₂×#10597397	C₂	semidirect
5. C₂×#10597378	C₂	semidirect
6. C₂×#10597395	C₂	semidirect
7. C₂×#10597396	C₂	semidirect
8. C₂²×#64520	C₂	semidirect
9. C₂²×#41×C₁₉	C₂	semidirect
14. C₂×#41×C₁₉	C₂²	semidirect
15. C₂×#41×C₁₉	C₂²	semidirect
16. C₂²×Q₈×C₁₉	C₂²	semidirect
18. C₂²×D₄×C₁₉	C₂²	semidirect
26. C₂×#64541	C₂²	semidirect
27. C₂×#64541	C₂²	semidirect
28. C₂²×D₇₆	C₂²	semidirect
30. C₂²×Dic₃₈	C₂²	semidirect
31. #10597397	C₂²	semidirect
32. #10597396	C₂²	semidirect
33. #10597395	C₂²	semidirect
34. C₂×#64528	C₂²	semidirect
35. #10597388	C₂²	semidirect
36. C₂×#64527	C₂²	semidirect
37. C₂×#64526	C₂²	semidirect
38. #10597378	C₂²	semidirect
39. C₂×#64525	C₂²	semidirect
40. C₂×#64520	C₂²	semidirect
41. C₂×#64520	C₂²	semidirect
42. C₂×#64520	C₂²	semidirect
43. C₂²×C₁₉⋊C₈	C₂²	semidirect
52. #41×C₁₉	C₂³	semidirect
56. C₂×Q₈×C₁₉	C₂³	semidirect
63. C₂×D₄×C₁₉	C₂³	semidirect
85. #64541	C₂³	semidirect
89. C₂×D₇₆	C₂³	semidirect
96. C₂×Dic₃₈	C₂³	semidirect
97. #64528	C₂³	semidirect
98. #64527	C₂³	semidirect
99. #64526	C₂³	semidirect
100. #64525	C₂³	semidirect
101. #64520	C₂³	semidirect
102. #64520	C₂³	semidirect
104. C₂×C₁₉⋊C₈	C₂³	semidirect
177. C₂²×#41	D₁₉	semidirect
189. C₂×C₁₉	#575	semidirect
202. C₂×#41	C₂×D₁₉	semidirect
203. C₂×#41	C₂×D₁₉	semidirect
205. C₂²×Q₈	C₂×D₁₉	semidirect
209. C₂²×D₄	C₂×D₁₉	semidirect
226. C₁₉	C₂×#575	semidirect
241. #41	C₂²×D₁₉	semidirect
249. C₂×Q₈	C₂²×D₁₉	semidirect
263. C₂×D₄	C₂²×D₁₉	semidirect
363. C₂	#11927342	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×#64541	2
#11927342	2
C₂×#10597388	2
C₂×#10597397	2
C₂×#10597378	2
C₂×#10597395	2
C₂×#10597396	2
C₂²×#64520	2
C₂²×#41×C₁₉	2
C₂×#575	19

Subgroups — C2×#11927342 #14578380

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11927342 #14578380