Subgroups — #14577992

Order 2432.

1060 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927294	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927288	C₂	1	2	yes	maximal, complemented
3	#11927286	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927256	C₂	1	2	yes	maximal, complemented
5	#11927224	C₂	1	2	yes	maximal, complemented
6	#11927220	C₂	1	4	yes	maximal, complemented
7	#11927184	C₂	1	4	yes	maximal, complemented
8	#11927158	C₂	1	4	yes	maximal, complemented
9	#11927128	C₂	1	4	yes	maximal, complemented
10	#11927118	C₂	1	2	yes	maximal, complemented
11	#11927103	C₂	1	2	yes	maximal, complemented
12	#11927078	C₂	1	2	yes	maximal, complemented
13	C₂×C₁₉×#124	C₂	1	1	yes	maximal, characteristic, complemented
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	complemented
17	C₂×#64541	C₂²	1	2	yes	—
18	C₁₉×#124	C₂²	1	1	yes	characteristic
19	C₁₉×#124	C₂²	1	1	yes	characteristic
20	C₁₉×#124	C₂²	1	4	yes	complemented
21	C₁₉×#124	C₂²	1	1	yes	characteristic, complemented
22	C₁₉×#124	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₂²⋊C₄×C₁₉	C₂²	1	4	yes	complemented
24	C₂×C₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
25	#10597399	C₂²	1	4	yes	—
26	C₂×C₂²⋊Dic₁₉	C₂²	1	2	yes	complemented
27	#10597393	C₂²	1	2	yes	complemented
28	#10597393	C₂²	1	2	yes	complemented
29	#10597392	C₂²	1	4	yes	complemented
30	#10597392	C₂²	1	4	yes	complemented
31	#10597390	C₂²	1	2	yes	complemented
32	#10597390	C₂²	1	2	yes	complemented
33	#10597385	C₂²	1	4	yes	—
34	#10597385	C₂²	1	4	yes	complemented
35	#10597383	C₂²	1	2	yes	—
36	#10597383	C₂²	1	2	yes	complemented
37	#10597381	C₂²	1	2	yes	—
38	#10597381	C₂²	1	2	yes	complemented
39	#10597376	C₂²	1	2	yes	—
40	#10597375	C₂²	1	4	yes	complemented
41	#10597375	C₂²	1	4	yes	complemented
42	C₄×C₂²⋊D₁₉	C₂²	1	4	yes	complemented
43	#10597372	C₂²	1	2	yes	complemented
44	#10597370	C₂²	1	2	yes	complemented
45	#10597332	C₂²	1	4	yes	complemented
46	#10597331	C₂²	1	4	yes	complemented
47	#10597331	C₂²	1	4	yes	complemented
48	#10597330	C₂²	1	4	yes	complemented
49	#10597330	C₂²	1	4	yes	complemented
50	#10597329	C₂²	1	4	yes	complemented
51	#10597329	C₂²	1	4	yes	complemented
52	#10597328	C₂²	1	4	yes	complemented
53	(C₂²⋊D₁₉)⋊C₄	C₂²	1	4	yes	complemented
54	(C₂²⋊D₁₉)⋊C₄	C₂²	1	4	yes	complemented
55	C₂²⋊C₄×D₁₉	C₂²	1	4	yes	complemented
56	#10597325	C₂²	1	4	yes	complemented
57	#10597325	C₂²	1	4	yes	complemented
58	#10597324	C₂²	1	4	yes	complemented
59	#10597324	C₂²	1	4	yes	complemented
60	#10597323	C₂²	1	4	yes	complemented
61	#10597322	C₂²	1	4	yes	complemented
62	#10597321	C₂²	1	2	yes	complemented
63	C₄×D₇₆	C₂²	1	2	yes	complemented
64	#10597318	C₂²	1	4	yes	complemented
65	#10597316	C₂²	1	2	yes	complemented
66	C₄×Dic₃₈	C₂²	1	2	yes	complemented
67	C₂⁴×C₁₉	C₂³	1	2	yes	—
68	C₂³×D₁₉	C₂³	1	2	yes	—
69	C₂×Q₈×C₁₉	—	4	2	no	—
70	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
71	C₂×Q₈×C₁₉	C₂³	1	2	yes	—
72	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
73	C₂×D₄×C₁₉	—	4	2	no	—
74	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
75	C₂×D₄×C₁₉	C₂³	1	2	yes	—
76	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
77	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
78	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
79	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
80	C₂×C₂²⋊D₁₉	—	4	4	no	—
81	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	—
82	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	—
83	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	—
84	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	—
85	C₂²×Dic₁₉	C₂³	1	2	yes	—
86	C₂²×Dic₁₉	C₂³	1	4	yes	—
87	#64541	—	4	4	no	—
88	C₂×D₇₆	C₂³	1	2	yes	—
89	C₂×D₇₆	C₂³	1	2	yes	—
90	C₂×C₄×D₁₉	C₂³	1	4	yes	—
91	C₂×C₄×D₁₉	C₂³	1	4	yes	—
92	C₂×Dic₃₈	C₂³	1	2	yes	—
93	C₂×Dic₃₈	C₂³	1	2	yes	—
94	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
95	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
96	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
97	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
98	C₄²×C₁₉	C₂³	1	1	yes	characteristic
99	C₄²×C₁₉	C₂³	1	1	yes	characteristic
100	C₄²×C₁₉	C₂³	1	2	yes	—
101	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
102	C₂²⋊Dic₁₉	C₂³	1	4	yes	—
103	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
104	C₂²⋊Dic₁₉	C₂³	1	4	yes	—
105	C₂²⋊Dic₁₉	C₂³	1	4	yes	—
106	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	—
107	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	—
108	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	—
109	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	—
110	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	—
111	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	—
112	C₄⋊Dic₁₉	C₂³	1	2	yes	—
113	C₄⋊Dic₁₉	C₂³	1	4	yes	—
114	C₄⋊Dic₁₉	C₂³	1	2	yes	—
115	Dic₁₉⋊C₄	C₂³	1	4	yes	—
116	Dic₁₉⋊C₄	C₂³	1	4	yes	—
117	Dic₁₉⋊C₄	C₂³	1	4	yes	—
118	Dic₁₉⋊C₄	C₂³	1	4	yes	—
119	Dic₁₉⋊C₄	C₂³	1	4	yes	—
120	Dic₁₉⋊C₄	C₂³	1	4	yes	—
121	C₄×Dic₁₉	C₂³	1	2	yes	—
122	C₄×Dic₁₉	C₂³	1	2	yes	—
123	C₄×Dic₁₉	C₂³	1	4	yes	—
124	C₂³×C₁₉	—	2	4	no	—
125	C₂³×C₁₉	—	4	4	no	—
126	C₂³×C₁₉	C₂⁴	1	2	yes	—
127	C₂³×C₁₉	C₂⁴	1	2	yes	—
128	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
129	C₂²×D₁₉	—	4	2	no	—
130	C₂²×D₁₉	—	4	4	no	—
131	C₂²×D₁₉	C₂⁴	1	4	yes	—
132	Q₈×C₁₉	—	4	1	no	—
133	Q₈×C₁₉	—	4	2	no	—
134	Q₈×C₁₉	—	4	1	no	—
135	D₄×C₁₉	—	4	1	no	—
136	D₄×C₁₉	—	4	2	no	—
137	D₄×C₁₉	—	4	1	no	—
138	C₂×C₄×C₁₉	—	2	4	no	—
139	C₂×C₄×C₁₉	—	2	2	no	—
140	C₂×C₄×C₁₉	—	4	2	no	—
141	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
142	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
143	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
144	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
145	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
146	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
147	C₂²⋊D₁₉	—	2	8	no	—
148	C₂²⋊D₁₉	—	4	4	no	—
149	C₂²⋊D₁₉	—	4	4	no	—
150	C₂²⋊D₁₉	—	4	4	no	—
151	C₂×Dic₁₉	—	4	4	no	—
152	C₂×Dic₁₉	—	4	2	no	—
153	C₂×Dic₁₉	C₂⁴	1	4	yes	—
154	C₂×Dic₁₉	C₂⁴	1	4	yes	—
155	C₂×Dic₁₉	C₂⁴	1	4	yes	—
156	D₇₆	—	4	2	no	—
157	D₇₆	—	4	2	no	—
158	C₄×D₁₉	—	4	4	no	—
159	C₄×D₁₉	—	4	4	no	—
160	Dic₃₈	—	4	2	no	—
161	Dic₃₈	—	4	2	no	—
162	#3545	—	19	1	no	maximal, Sylow
163	C₂²×C₁₉	—	2	2	no	—
164	C₂²×C₁₉	—	2	2	no	—
165	C₂²×C₁₉	—	2	2	no	—
166	C₂²×C₁₉	—	2	4	no	—
167	C₂²×C₁₉	—	2	4	no	—
168	C₂²×C₁₉	—	8	4	no	—
169	C₂²×C₁₉	H(5,𝔽₂)	1	2	yes	—
170	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
171	C₂×D₁₉	—	2	4	no	—
172	C₂×D₁₉	—	2	4	no	—
173	C₂×D₁₉	—	2	4	no	—
174	C₂×D₁₉	—	8	4	no	—
175	C₄×C₁₉	—	2	2	no	—
176	C₄×C₁₉	—	2	2	no	—
177	C₄×C₁₉	—	2	1	no	—
178	C₄×C₁₉	—	2	1	no	—
179	C₄×C₁₉	—	2	2	no	—
180	C₄×C₁₉	—	2	2	no	—
181	Dic₁₉	—	2	4	no	—
182	Dic₁₉	—	2	4	no	—
183	Dic₁₉	—	2	4	no	—
184	#563	—	19	1	no	—
185	#562	—	19	2	no	—
186	H(3,𝔽₄)	—	19	1	no	—
187	#555	—	19	2	no	—
188	#551	—	19	2	no	—
189	#551	—	19	4	no	—
190	#546	—	19	4	no	—
191	#542	—	19	4	no	—
192	#538	—	19	4	no	—
193	#536	—	19	2	no	—
194	#534	—	19	2	no	—
195	#529	—	19	2	no	—
196	C₂×#124	D₁₉	1	1	yes	characteristic, complemented
197	C₂×C₁₉	—	2	2	no	—
198	C₂×C₁₉	—	4	2	no	—
199	C₂×C₁₉	—	4	2	no	—
200	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
201	C₂×C₁₉	#585	1	2	yes	—
202	D₁₉	—	4	4	no	—
203	C₂×#41	—	19	2	no	—
204	C₂²×Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
205	C₂²×D₄	—	19	2	no	—
206	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic
207	C₄⋊Q₈	—	19	2	no	—
208	C₄⋊Q₈	—	19	2	no	—
209	#126	—	19	4	no	—
210	#126	—	19	4	no	—
211	#126	—	19	4	no	—
212	#125	—	19	2	no	—
213	#124	—	19	2	no	—
214	#124	—	19	2	no	—
215	#124	—	19	4	no	—
216	#124	—	19	4	no	—
217	#124	—	19	2	no	—
218	#124	C₂×D₁₉	1	1	yes	characteristic
219	#124	C₂×D₁₉	1	1	yes	characteristic
220	#124	C₂×D₁₉	1	4	yes	complemented
221	#124	C₂×D₁₉	1	1	yes	characteristic, complemented
222	#124	C₂×D₁₉	1	1	yes	characteristic, complemented
223	#123	—	19	2	no	—
224	#123	—	19	2	no	—
225	#123	—	19	4	no	—
226	#123	—	19	4	no	—
227	#123	—	19	4	no	—
228	#123	—	19	4	no	—
229	#123	—	19	4	no	—
230	C₂²⋊Q₈	—	19	4	no	—
231	C₂²⋊Q₈	—	19	4	no	—
232	C₂²⋊Q₈	—	19	2	no	—
233	C₂²⋊Q₈	—	19	4	no	—
234	C₂²⋊Q₈	—	19	4	no	—
235	#121	—	19	4	no	—
236	#121	—	19	4	no	—
237	#121	—	19	2	no	—
238	#121	—	19	4	no	—
239	#121	—	19	4	no	—
240	#120	—	19	4	no	—
241	#120	—	19	2	no	—
242	#120	—	19	2	no	—
243	#120	—	19	4	no	—
244	C₄×Q₈	—	19	2	no	—
245	C₄×D₄	—	19	4	no	—
246	C₄×D₄	—	19	4	no	—
247	C₄×D₄	—	19	4	no	—
248	C₄×D₄	—	19	2	no	—
249	#117	—	19	2	no	—
250	#117	—	19	4	no	—
251	#117	—	19	4	no	—
252	C₂×C₂²⋊C₄	—	19	2	no	—
253	C₂×C₂²⋊C₄	—	19	4	no	—
254	C₂×C₂²⋊C₄	C₂×D₁₉	1	4	yes	complemented
255	C₂×C₄²	C₂×D₁₉	1	1	yes	characteristic, complemented
256	C₁₉	#3545	1	1	yes	characteristic, complemented, Sylow
257	C₂⁴	—	19	2	no	—
258	C₂⁴	C₂²×D₁₉	1	2	yes	—
259	#41	—	76	4	no	—
260	C₂×Q₈	—	4	2	no	—
261	C₂×Q₈	—	19	2	no	—
262	C₂×Q₈	—	19	2	no	—
263	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
264	C₂×Q₈	C₂²×D₁₉	1	2	yes	—
265	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
266	C₂×D₄	—	4	2	no	—
267	C₂×D₄	—	19	4	no	—
268	C₂×D₄	—	19	4	no	—
269	C₂×D₄	—	19	4	no	—
270	C₂×D₄	—	19	4	no	—
271	C₂×D₄	—	19	2	no	—
272	C₂×D₄	—	19	2	no	—
273	C₂×D₄	—	76	4	no	—
274	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
275	C₂×D₄	C₂²×D₁₉	1	2	yes	—
276	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
277	C₂²×C₄	—	19	4	no	—
278	C₂²×C₄	—	19	2	no	—
279	C₂²×C₄	—	19	4	no	—
280	C₂²×C₄	—	19	4	no	—
281	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
282	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
283	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
284	C₄⋊C₄	—	19	4	no	—
285	C₄⋊C₄	—	19	4	no	—
286	C₄⋊C₄	—	19	4	no	—
287	C₄⋊C₄	—	19	4	no	—
288	C₄⋊C₄	—	19	4	no	—
289	C₄⋊C₄	—	19	4	no	—
290	C₄⋊C₄	—	19	4	no	—
291	C₄⋊C₄	—	19	2	no	—
292	C₄⋊C₄	—	19	2	no	—
293	C₂²⋊C₄	—	19	4	no	—
294	C₂²⋊C₄	—	19	4	no	—
295	C₂²⋊C₄	—	19	2	no	—
296	C₂²⋊C₄	—	19	2	no	—
297	C₂²⋊C₄	—	19	4	no	—
298	C₂²⋊C₄	—	19	4	no	—
299	C₂²⋊C₄	—	19	4	no	—
300	C₂²⋊C₄	—	19	4	no	—
301	C₂²⋊C₄	—	19	4	no	—
302	C₂²⋊C₄	—	19	4	no	—
303	C₂²⋊C₄	—	19	4	no	—
304	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
305	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
306	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
307	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
308	C₄²	—	19	2	no	—
309	C₄²	—	19	4	no	—
310	C₄²	—	19	2	no	—
311	C₄²	C₂²×D₁₉	1	1	yes	characteristic
312	C₄²	C₂²×D₁₉	1	2	yes	—
313	C₄²	C₂²×D₁₉	1	1	yes	characteristic
314	C₂³	—	2	4	no	—
315	C₂³	—	4	4	no	—
316	C₂³	—	19	4	no	—
317	C₂³	—	76	2	no	—
318	C₂³	—	76	4	no	—
319	C₂³	C₂³×D₁₉	1	2	yes	—
320	C₂³	C₂³×D₁₉	1	2	yes	—
321	C₂³	C₂³×D₁₉	1	1	yes	characteristic
322	Q₈	—	4	1	no	—
323	Q₈	—	4	2	no	—
324	Q₈	—	4	1	no	—
325	Q₈	—	76	2	no	—
326	Q₈	—	76	2	no	—
327	D₄	—	4	1	no	—
328	D₄	—	4	2	no	—
329	D₄	—	4	1	no	—
330	D₄	—	38	8	no	—
331	D₄	—	76	2	no	—
332	D₄	—	76	2	no	—
333	D₄	—	76	4	no	—
334	D₄	—	76	4	no	—
335	D₄	—	76	4	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	2	4	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	19	4	no	—
340	C₂×C₄	—	19	4	no	—
341	C₂×C₄	—	19	4	no	—
342	C₂×C₄	—	76	4	no	—
343	C₂×C₄	—	76	4	no	—
344	C₂×C₄	—	76	2	no	—
345	C₂×C₄	—	76	4	no	—
346	C₂×C₄	C₂³×D₁₉	1	2	yes	—
347	C₂×C₄	C₂³×D₁₉	1	2	yes	—
348	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
349	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
350	C₂×C₄	C₂³×D₁₉	1	2	yes	—
351	C₂×C₄	C₂³×D₁₉	1	2	yes	—
352	C₂²	—	2	2	no	—
353	C₂²	—	2	2	no	—
354	C₂²	—	2	2	no	—
355	C₂²	—	2	4	no	—
356	C₂²	—	2	4	no	—
357	C₂²	—	8	4	no	—
358	C₂²	—	38	4	no	—
359	C₂²	—	38	4	no	—
360	C₂²	—	38	4	no	—
361	C₂²	—	152	4	no	—
362	C₂²	#10597430	1	2	yes	—
363	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
364	C₄	—	2	2	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	2	2	no	—
368	C₄	—	2	2	no	—
369	C₄	—	2	2	no	—
370	C₄	—	38	4	no	—
371	C₄	—	38	4	no	—
372	C₄	—	38	4	no	—
373	C₂	—	2	2	no	—
374	C₂	—	4	2	no	—
375	C₂	—	4	2	no	—
376	C₂	—	76	4	no	—
377	C₂	C₂×#10597430	1	1	yes	characteristic
378	C₂	#11927380	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₂×C₁₉×#124	C₂
hypercenter	C₂×#124	D₁₉
hypocenter	C₁₉	#3545
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×#124

Complements

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

N	H ≅ G/N	type
1. #11927294	C₂	semidirect
2. #11927288	C₂	semidirect
3. #11927286	C₂	semidirect
4. #11927256	C₂	semidirect
5. #11927224	C₂	semidirect
6. #11927220	C₂	semidirect
7. #11927184	C₂	semidirect
8. #11927158	C₂	semidirect
9. #11927128	C₂	semidirect
10. #11927118	C₂	semidirect
11. #11927103	C₂	semidirect
12. #11927078	C₂	semidirect
13. C₂×C₁₉×#124	C₂	semidirect
14. C₂²×Q₈×C₁₉	C₂²	semidirect
16. C₂²×C₂²⋊D₁₉	C₂²	semidirect
20. C₁₉×#124	C₂²	semidirect
21. C₁₉×#124	C₂²	semidirect
22. C₁₉×#124	C₂²	semidirect
23. C₂×C₂²⋊C₄×C₁₉	C₂²	semidirect
24. C₂×C₄²×C₁₉	C₂²	semidirect
26. C₂×C₂²⋊Dic₁₉	C₂²	semidirect
27. #10597393	C₂²	semidirect
28. #10597393	C₂²	semidirect
29. #10597392	C₂²	semidirect
30. #10597392	C₂²	semidirect
31. #10597390	C₂²	semidirect
32. #10597390	C₂²	semidirect
34. #10597385	C₂²	semidirect
36. #10597383	C₂²	semidirect
38. #10597381	C₂²	semidirect
40. #10597375	C₂²	semidirect
41. #10597375	C₂²	semidirect
42. C₄×C₂²⋊D₁₉	C₂²	semidirect
43. #10597372	C₂²	semidirect
44. #10597370	C₂²	semidirect
45. #10597332	C₂²	semidirect
46. #10597331	C₂²	semidirect
47. #10597331	C₂²	semidirect
48. #10597330	C₂²	semidirect
49. #10597330	C₂²	semidirect
50. #10597329	C₂²	semidirect
51. #10597329	C₂²	semidirect
52. #10597328	C₂²	semidirect
53. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
54. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
55. C₂²⋊C₄×D₁₉	C₂²	semidirect
56. #10597325	C₂²	semidirect
57. #10597325	C₂²	semidirect
58. #10597324	C₂²	semidirect
59. #10597324	C₂²	semidirect
60. #10597323	C₂²	semidirect
61. #10597322	C₂²	semidirect
62. #10597321	C₂²	semidirect
63. C₄×D₇₆	C₂²	semidirect
64. #10597318	C₂²	semidirect
65. #10597316	C₂²	semidirect
66. C₄×Dic₃₈	C₂²	semidirect
196. C₂×#124	D₁₉	semidirect
204. C₂²×Q₈	C₂×D₁₉	semidirect
220. #124	C₂×D₁₉	semidirect
221. #124	C₂×D₁₉	semidirect
222. #124	C₂×D₁₉	semidirect
254. C₂×C₂²⋊C₄	C₂×D₁₉	semidirect
255. C₂×C₄²	C₂×D₁₉	semidirect
256. C₁₉	#3545	semidirect

Maximal subgroups

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

subgroup	index
#11927294	2
#11927288	2
#11927286	2
#11927256	2
#11927224	2
#11927220	2
#11927184	2
#11927158	2
#11927128	2
#11927118	2
#11927103	2
#11927078	2
C₂×C₁₉×#124	2
#3545	19