Subgroups — #14577422

Order 2432.

1540 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×#10597436	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#10597435	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927203	C₂	1	4	yes	maximal, complemented
4	#11927190	C₂	1	4	yes	maximal, complemented
5	#11927183	C₂	1	8	yes	maximal, complemented
6	#11927119	C₂	1	2	yes	maximal, complemented
7	#11927115	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927108	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927107	C₂	1	2	yes	maximal, complemented
10	#11927093	C₂	1	2	yes	maximal, complemented
11	C₂×#10597321	C₂	1	1	yes	maximal, characteristic, complemented
12	#124×D₁₉	C₂	1	2	yes	maximal, complemented
13	C₄×#64541	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#532	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic
16	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic, complemented
17	#10597436	—	2	8	no	—
18	#10597435	—	2	8	no	—
19	C₂×#64545	C₂²	1	2	yes	—
20	C₂×Q₈×D₁₉	C₂²	1	2	yes	complemented
21	C₂×#64543	C₂²	1	2	yes	complemented
22	C₂×#64543	C₂²	1	4	yes	complemented
23	C₂×D₄×D₁₉	C₂²	1	2	yes	—
24	C₂×D₄×D₁₉	C₂²	1	4	yes	—
25	C₂×#64541	C₂²	1	2	yes	—
26	C₂×#64541	C₂²	1	1	yes	characteristic
27	C₂×#64541	C₂²	1	2	yes	complemented
28	C₂²×D₇₆	C₂²	1	1	yes	characteristic
29	C₂²×D₇₆	C₂²	1	2	yes	—
30	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
31	C₂²×Dic₃₈	C₂²	1	2	yes	complemented
32	C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₁₉×#127	C₂²	1	1	yes	characteristic, complemented
34	C₁₉×#124	C₂²	1	1	yes	characteristic, complemented
35	C₁₉×#124	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#121	C₂²	1	4	yes	complemented
37	C₄×D₄×C₁₉	C₂²	1	4	yes	complemented
38	C₂×C₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
39	#10597393	C₂²	1	2	yes	complemented
40	#10597390	C₂²	1	2	yes	complemented
41	#10597386	C₂²	1	2	yes	complemented
42	#10597385	C₂²	1	8	yes	complemented
43	#10597383	C₂²	1	8	yes	complemented
44	#10597383	C₂²	1	4	yes	complemented
45	#10597382	C₂²	1	2	yes	complemented
46	#10597381	C₂²	1	4	yes	complemented
47	#10597376	C₂²	1	4	yes	complemented
48	C₄×C₂²⋊D₁₉	C₂²	1	4	yes	complemented
49	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	4	yes	complemented
50	#10597372	C₂²	1	1	yes	characteristic, complemented
51	#10597370	C₂²	1	4	yes	complemented
52	#10597342	C₂²	1	8	yes	complemented
53	#10597340	C₂²	1	8	yes	complemented
54	#10597331	C₂²	1	8	yes	complemented
55	#10597330	C₂²	1	8	yes	complemented
56	(C₂²⋊D₁₉)⋊C₄	C₂²	1	8	yes	complemented
57	C₂²⋊C₄×D₁₉	C₂²	1	8	yes	complemented
58	#10597321	C₂²	1	2	yes	complemented
59	#10597321	C₂²	1	2	yes	complemented
60	#10597321	C₂²	1	4	yes	complemented
61	C₄×D₇₆	C₂²	1	2	yes	complemented
62	#10597318	C₂²	1	2	yes	complemented
63	C₄²×D₁₉	C₂²	1	2	yes	complemented
64	C₄×Dic₃₈	C₂²	1	2	yes	complemented
65	C₂³×D₁₉	C₂³	1	4	yes	—
66	C₂³×D₁₉	C₂³	1	2	yes	—
67	#41×C₁₉	—	2	4	no	—
68	#41×C₁₉	—	2	4	no	—
69	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
70	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
71	C₂×D₄×C₁₉	C₂³	1	2	yes	—
72	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
73	C₂×D₄×C₁₉	C₂³	1	2	yes	—
74	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
75	C₂×D₄×C₁₉	C₂³	1	4	yes	—
76	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
77	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
78	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
79	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
80	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	—
81	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	—
82	C₂×C₂²⋊D₁₉	C₂³	1	8	yes	—
83	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
84	C₂²×Dic₁₉	C₂³	1	2	yes	—
85	C₂²×Dic₁₉	C₂³	1	4	yes	—
86	#64545	—	2	8	no	—
87	Q₈×D₁₉	—	2	8	no	—
88	#64543	—	2	16	no	—
89	#64543	—	2	8	no	—
90	D₄×D₁₉	—	2	16	no	—
91	D₄×D₁₉	—	2	8	no	—
92	#64541	—	2	8	no	—
93	#64541	—	2	8	no	—
94	#64541	D₄	1	8	yes	complemented
95	C₂×D₇₆	—	2	4	no	—
96	C₂×D₇₆	—	2	8	no	—
97	C₂×D₇₆	C₂³	1	2	yes	—
98	C₂×D₇₆	C₂³	1	2	yes	—
99	C₂×D₇₆	C₂³	1	4	yes	—
100	C₂×D₇₆	C₂³	1	1	yes	characteristic
101	C₂×C₄×D₁₉	C₂³	1	4	yes	—
102	C₂×C₄×D₁₉	C₂³	1	4	yes	—
103	C₂×C₄×D₁₉	C₂³	1	4	yes	—
104	C₂×C₄×D₁₉	C₂³	1	2	yes	—
105	C₂×Dic₃₈	—	2	4	no	—
106	C₂×Dic₃₈	—	2	8	no	—
107	C₂×Dic₃₈	C₂³	1	2	yes	—
108	C₂×Dic₃₈	C₂³	1	2	yes	—
109	C₂×Dic₃₈	C₂³	1	4	yes	—
110	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
111	C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
112	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
113	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
114	C₄²×C₁₉	C₂³	1	2	yes	—
115	C₄²×C₁₉	C₂³	1	1	yes	characteristic
116	C₄²×C₁₉	C₂³	1	1	yes	characteristic
117	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
118	C₂²⋊Dic₁₉	C₂³	1	8	yes	—
119	(C₂×D₁₉)⋊C₄	C₂³	1	8	yes	—
120	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	—
121	(C₂×D₁₉)⋊C₄	C₂³	1	8	yes	—
122	(C₂×D₁₉)⋊C₄	C₂³	1	8	yes	—
123	C₄⋊Dic₁₉	C₂³	1	2	yes	—
124	Dic₁₉⋊C₄	C₂³	1	8	yes	—
125	Dic₁₉⋊C₄	C₂³	1	4	yes	—
126	C₄×Dic₁₉	C₂³	1	2	yes	—
127	C₄×Dic₁₉	C₂³	1	4	yes	—
128	C₂³×C₁₉	C₂⁴	1	2	yes	—
129	C₂³×C₁₉	C₂⁴	1	2	yes	—
130	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
131	C₂²×D₁₉	—	2	4	no	—
132	C₂²×D₁₉	—	2	8	no	—
133	C₂²×D₁₉	—	4	8	no	—
134	C₂²×D₁₉	—	4	4	no	—
135	C₂²×D₁₉	C₂⁴	1	4	yes	—
136	C₂²×D₁₉	C₂⁴	1	2	yes	—
137	Q₈×C₁₉	—	2	2	no	—
138	Q₈×C₁₉	—	2	2	no	—
139	D₄×C₁₉	—	2	4	no	—
140	D₄×C₁₉	—	2	4	no	—
141	D₄×C₁₉	—	2	2	no	—
142	D₄×C₁₉	—	2	2	no	—
143	D₄×C₁₉	—	4	4	no	—
144	C₂×C₄×C₁₉	—	2	4	no	—
145	C₂×C₄×C₁₉	—	2	4	no	—
146	C₂×C₄×C₁₉	—	4	2	no	—
147	C₂×C₄×C₁₉	C₂×D₄	1	4	yes	—
148	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
149	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
150	C₂×C₄×C₁₉	C₂⁴	1	2	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	8	no	—
155	C₂²⋊D₁₉	—	2	8	no	—
156	C₂²⋊D₁₉	—	4	8	no	—
157	C₂²⋊D₁₉	C₂×D₄	1	8	yes	—
158	C₂×Dic₁₉	—	2	4	no	—
159	C₂×Dic₁₉	—	2	8	no	—
160	C₂×Dic₁₉	C₂⁴	1	4	yes	—
161	C₂×Dic₁₉	C₂⁴	1	4	yes	—
162	C₂×Dic₁₉	C₂⁴	1	2	yes	—
163	D₇₆	—	2	8	no	—
164	D₇₆	—	2	4	no	—
165	D₇₆	—	2	4	no	—
166	D₇₆	C₂×D₄	1	4	yes	—
167	C₄×D₁₉	—	2	8	no	—
168	C₄×D₁₉	—	2	8	no	—
169	C₄×D₁₉	—	4	4	no	—
170	C₄×D₁₉	C₂×D₄	1	8	yes	—
171	Dic₃₈	—	2	4	no	—
172	Dic₃₈	—	2	4	no	—
173	Dic₃₈	—	2	8	no	—
174	Dic₃₈	C₂×D₄	1	4	yes	—
175	#3500	—	19	1	no	maximal, Sylow
176	C₂²×C₁₉	—	2	2	no	—
177	C₂²×C₁₉	—	2	2	no	—
178	C₂²×C₁₉	—	2	2	no	—
179	C₂²×C₁₉	—	2	4	no	—
180	C₂²×C₁₉	—	2	4	no	—
181	C₂²×C₁₉	C₂²×D₄	1	2	yes	—
182	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
183	C₂×D₁₉	—	2	4	no	—
184	C₂×D₁₉	—	2	4	no	—
185	C₂×D₁₉	—	2	8	no	—
186	C₂×D₁₉	—	8	8	no	—
187	C₂×D₁₉	—	8	4	no	—
188	C₂×D₁₉	C₂²×D₄	1	4	yes	—
189	C₄×C₁₉	—	2	2	no	—
190	C₄×C₁₉	—	2	2	no	—
191	C₄×C₁₉	—	2	2	no	—
192	C₄×C₁₉	—	2	2	no	—
193	C₄×C₁₉	C₂²×D₄	1	2	yes	—
194	C₄×C₁₉	C₂²×D₄	1	2	yes	—
195	Dic₁₉	—	2	4	no	—
196	Dic₁₉	—	2	4	no	—
197	Dic₁₉	C₂²×D₄	1	4	yes	—
198	C₂×2₋¹⁺⁴	—	19	1	no	—
199	C₂×H(5,𝔽₂)	—	19	1	no	—
200	#548	—	19	4	no	—
201	#546	—	19	8	no	—
202	#546	—	19	4	no	—
203	#536	—	19	1	no	—
204	#536	—	19	2	no	—
205	#535	—	19	1	no	—
206	#535	—	19	2	no	—
207	#532	—	19	2	no	—
208	#532	D₁₉	1	1	yes	characteristic, complemented
209	C₂×#124	—	19	2	no	—
210	C₂×#124	—	19	1	no	—
211	C₄×#41	—	19	1	no	—
212	C₂×C₁₉	—	2	2	no	—
213	C₂×C₁₉	—	4	2	no	—
214	C₂×C₁₉	—	4	2	no	—
215	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
216	C₂×C₁₉	#585	1	2	yes	—
217	D₁₉	—	2	4	no	—
218	D₁₉	—	4	4	no	—
219	2₋¹⁺⁴	—	38	8	no	—
220	H(5,𝔽₂)	—	38	8	no	—
221	C₂×#41	—	19	2	no	—
222	C₂×#41	—	19	2	no	—
223	C₂×#41	—	19	4	no	—
224	C₂×#41	—	19	1	no	—
225	C₂×#41	—	19	2	no	—
226	C₂×#41	—	19	2	no	—
227	C₂×#41	C₂×D₁₉	1	1	yes	characteristic
228	C₂×#41	C₂×D₁₉	1	1	yes	characteristic, complemented
229	C₂²×Q₈	—	19	2	no	—
230	C₂²×Q₈	—	19	1	no	—
231	C₂²×Q₈	—	19	2	no	—
232	C₂²×D₄	—	19	2	no	—
233	C₂²×D₄	—	19	4	no	—
234	C₂²×D₄	—	19	1	no	—
235	C₂²×D₄	—	19	2	no	—
236	C₄⋊Q₈	—	19	2	no	—
237	C₄⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
238	#127	—	19	2	no	—
239	#127	C₂×D₁₉	1	1	yes	characteristic, complemented
240	#124	—	19	2	no	—
241	#124	—	19	2	no	—
242	#124	—	19	8	no	—
243	#124	—	19	2	no	—
244	#124	—	19	2	no	—
245	#124	—	19	4	no	—
246	#124	C₂×D₁₉	1	1	yes	characteristic, complemented
247	#124	C₂×D₁₉	1	1	yes	characteristic, complemented
248	#123	—	19	4	no	—
249	#123	—	19	8	no	—
250	C₂²⋊Q₈	—	19	4	no	—
251	C₂²⋊Q₈	—	19	8	no	—
252	#121	—	19	8	no	—
253	#121	—	19	4	no	—
254	#121	—	19	8	no	—
255	#121	C₂×D₁₉	1	4	yes	complemented
256	#120	—	19	8	no	—
257	#120	—	19	4	no	—
258	C₄×Q₈	—	19	2	no	—
259	C₄×D₄	—	19	4	no	—
260	C₄×D₄	—	19	8	no	—
261	C₄×D₄	—	19	2	no	—
262	C₄×D₄	C₂×D₁₉	1	4	yes	complemented
263	#117	—	19	1	no	—
264	#117	—	19	2	no	—
265	C₂×C₂²⋊C₄	—	19	4	no	—
266	C₂×C₂²⋊C₄	—	19	8	no	—
267	C₂×C₄²	—	19	2	no	—
268	C₂×C₄²	C₂×D₁₉	1	1	yes	characteristic, complemented
269	C₁₉	#3500	1	1	yes	characteristic, complemented, Sylow
270	C₂⁴	—	19	4	no	—
271	C₂⁴	—	19	2	no	—
272	#41	—	2	4	no	—
273	#41	—	2	4	no	—
274	#41	—	19	8	no	—
275	#41	—	38	8	no	—
276	#41	—	38	8	no	—
277	#41	—	38	8	no	—
278	#41	—	38	8	no	—
279	#41	—	38	16	no	—
280	C₂×Q₈	—	19	1	no	—
281	C₂×Q₈	—	19	4	no	—
282	C₂×Q₈	—	19	2	no	—
283	C₂×Q₈	—	19	2	no	—
284	C₂×Q₈	—	38	8	no	—
285	C₂×Q₈	—	38	8	no	—
286	C₂×Q₈	—	38	4	no	—
287	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
288	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
289	C₂×D₄	—	19	2	no	—
290	C₂×D₄	—	19	4	no	—
291	C₂×D₄	—	19	4	no	—
292	C₂×D₄	—	19	8	no	—
293	C₂×D₄	—	19	1	no	—
294	C₂×D₄	—	19	4	no	—
295	C₂×D₄	—	19	2	no	—
296	C₂×D₄	—	19	2	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	C₂²×D₁₉	1	2	yes	—
302	C₂×D₄	C₂²×D₁₉	1	2	yes	—
303	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
304	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
305	C₂×D₄	C₂²×D₁₉	1	4	yes	—
306	C₂²×C₄	—	19	2	no	—
307	C₂²×C₄	—	19	2	no	—
308	C₂²×C₄	—	19	4	no	—
309	C₂²×C₄	—	19	4	no	—
310	C₂²×C₄	—	19	4	no	—
311	C₂²×C₄	—	19	4	no	—
312	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
313	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
314	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
315	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
316	C₄⋊C₄	—	19	4	no	—
317	C₄⋊C₄	—	19	8	no	—
318	C₄⋊C₄	—	19	2	no	—
319	C₄⋊C₄	C₂²×D₁₉	1	4	yes	—
320	C₂²⋊C₄	—	19	8	no	—
321	C₂²⋊C₄	—	19	2	no	—
322	C₂²⋊C₄	—	19	8	no	—
323	C₂²⋊C₄	—	19	8	no	—
324	C₂²⋊C₄	—	19	8	no	—
325	C₂²⋊C₄	—	19	4	no	—
326	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
327	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
328	C₄²	—	19	2	no	—
329	C₄²	—	19	4	no	—
330	C₄²	C₂²×D₁₉	1	1	yes	characteristic
331	C₄²	C₂²×D₁₉	1	1	yes	characteristic
332	C₄²	C₂²×D₁₉	1	2	yes	—
333	C₂³	—	19	2	no	—
334	C₂³	—	19	4	no	—
335	C₂³	—	38	8	no	—
336	C₂³	—	38	4	no	—
337	C₂³	—	76	4	no	—
338	C₂³	—	76	8	no	—
339	C₂³	C₂³×D₁₉	1	2	yes	—
340	C₂³	C₂³×D₁₉	1	2	yes	—
341	C₂³	C₂³×D₁₉	1	1	yes	characteristic
342	Q₈	—	2	2	no	—
343	Q₈	—	2	2	no	—
344	Q₈	—	19	4	no	—
345	Q₈	—	38	8	no	—
346	Q₈	—	38	4	no	—
347	Q₈	—	38	4	no	—
348	D₄	—	2	4	no	—
349	D₄	—	2	4	no	—
350	D₄	—	2	2	no	—
351	D₄	—	2	2	no	—
352	D₄	—	4	4	no	—
353	D₄	—	19	8	no	—
354	D₄	—	19	4	no	—
355	D₄	—	38	8	no	—
356	D₄	—	38	8	no	—
357	D₄	—	38	8	no	—
358	D₄	—	38	4	no	—
359	D₄	—	38	4	no	—
360	D₄	—	76	8	no	—
361	C₂×C₄	—	2	4	no	—
362	C₂×C₄	—	2	4	no	—
363	C₂×C₄	—	4	2	no	—
364	C₂×C₄	—	19	2	no	—
365	C₂×C₄	—	19	8	no	—
366	C₂×C₄	—	19	4	no	—
367	C₂×C₄	—	19	4	no	—
368	C₂×C₄	—	38	8	no	—
369	C₂×C₄	—	38	8	no	—
370	C₂×C₄	—	38	8	no	—
371	C₂×C₄	—	38	4	no	—
372	C₂×C₄	—	76	4	no	—
373	C₂×C₄	D₄×D₁₉	1	4	yes	—
374	C₂×C₄	C₂³×D₁₉	1	2	yes	—
375	C₂×C₄	C₂³×D₁₉	1	2	yes	—
376	C₂×C₄	C₂³×D₁₉	1	2	yes	—
377	C₂×C₄	C₂³×D₁₉	1	2	yes	—
378	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
379	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
380	C₂²	—	2	2	no	—
381	C₂²	—	2	2	no	—
382	C₂²	—	2	2	no	—
383	C₂²	—	2	4	no	—
384	C₂²	—	2	4	no	—
385	C₂²	—	19	4	no	—
386	C₂²	—	38	4	no	—
387	C₂²	—	38	4	no	—
388	C₂²	—	38	8	no	—
389	C₂²	—	152	4	no	—
390	C₂²	—	152	8	no	—
391	C₂²	C₂×D₄×D₁₉	1	2	yes	—
392	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
393	C₄	—	2	2	no	—
394	C₄	—	2	2	no	—
395	C₄	—	2	2	no	—
396	C₄	—	2	2	no	—
397	C₄	—	19	4	no	—
398	C₄	—	38	4	no	—
399	C₄	—	38	4	no	—
400	C₄	C₂×D₄×D₁₉	1	2	yes	—
401	C₄	C₂×D₄×D₁₉	1	2	yes	—
402	C₂	—	2	2	no	—
403	C₂	—	4	2	no	—
404	C₂	—	4	2	no	—
405	C₂	—	38	4	no	—
406	C₂	—	76	4	no	—
407	C₂	C₂²×D₄×D₁₉	1	1	yes	characteristic
408	C₂	#11927380	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#532	C₂
hypercenter	#532	D₁₉
hypocenter	C₁₉	#3500
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ #532

Complements

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

N	H ≅ G/N	type
1. C₂×#10597436	C₂	semidirect
2. C₂×#10597435	C₂	semidirect
3. #11927203	C₂	semidirect
4. #11927190	C₂	semidirect
5. #11927183	C₂	semidirect
6. #11927119	C₂	semidirect
7. #11927115	C₂	semidirect
8. #11927108	C₂	semidirect
9. #11927107	C₂	semidirect
10. #11927093	C₂	semidirect
11. C₂×#10597321	C₂	semidirect
12. #124×D₁₉	C₂	semidirect
13. C₄×#64541	C₂	semidirect
14. C₁₉×#532	C₂	semidirect
16. C₂×#41×C₁₉	C₂²	semidirect
20. C₂×Q₈×D₁₉	C₂²	semidirect
21. C₂×#64543	C₂²	semidirect
22. C₂×#64543	C₂²	semidirect
27. C₂×#64541	C₂²	semidirect
30. C₂²×Dic₃₈	C₂²	semidirect
31. C₂²×Dic₃₈	C₂²	semidirect
32. C₁₉×C₄⋊Q₈	C₂²	semidirect
33. C₁₉×#127	C₂²	semidirect
34. C₁₉×#124	C₂²	semidirect
35. C₁₉×#124	C₂²	semidirect
36. C₁₉×#121	C₂²	semidirect
37. C₄×D₄×C₁₉	C₂²	semidirect
38. C₂×C₄²×C₁₉	C₂²	semidirect
39. #10597393	C₂²	semidirect
40. #10597390	C₂²	semidirect
41. #10597386	C₂²	semidirect
42. #10597385	C₂²	semidirect
43. #10597383	C₂²	semidirect
44. #10597383	C₂²	semidirect
45. #10597382	C₂²	semidirect
46. #10597381	C₂²	semidirect
47. #10597376	C₂²	semidirect
48. C₄×C₂²⋊D₁₉	C₂²	semidirect
49. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
50. #10597372	C₂²	semidirect
51. #10597370	C₂²	semidirect
52. #10597342	C₂²	semidirect
53. #10597340	C₂²	semidirect
54. #10597331	C₂²	semidirect
55. #10597330	C₂²	semidirect
56. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
57. C₂²⋊C₄×D₁₉	C₂²	semidirect
58. #10597321	C₂²	semidirect
59. #10597321	C₂²	semidirect
60. #10597321	C₂²	semidirect
61. C₄×D₇₆	C₂²	semidirect
62. #10597318	C₂²	semidirect
63. C₄²×D₁₉	C₂²	semidirect
64. C₄×Dic₃₈	C₂²	semidirect
94. #64541	D₄	semidirect
208. #532	D₁₉	semidirect
228. C₂×#41	C₂×D₁₉	semidirect
237. C₄⋊Q₈	C₂×D₁₉	semidirect
239. #127	C₂×D₁₉	semidirect
246. #124	C₂×D₁₉	semidirect
247. #124	C₂×D₁₉	semidirect
255. #121	C₂×D₁₉	semidirect
262. C₄×D₄	C₂×D₁₉	semidirect
268. C₂×C₄²	C₂×D₁₉	semidirect
269. C₁₉	#3500	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10597436	2
C₂×#10597435	2
#11927203	2
#11927190	2
#11927183	2
#11927119	2
#11927115	2
#11927108	2
#11927107	2
#11927093	2
C₂×#10597321	2
#124×D₁₉	2
C₄×#64541	2
C₁₉×#532	2
#3500	19