Subgroups — #14577277

Order 2432.

1560 conjugacy classes of subgroups.

The subgroup lattice has 390 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	C₂²×#64541	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927199	C₂	1	4	yes	maximal, complemented
4	#11927196	C₂	1	4	yes	maximal, complemented
5	#11927191	C₂	1	4	yes	maximal, complemented
6	#11927190	C₂	1	4	yes	maximal, complemented
7	#11927120	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927115	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927104	C₂	1	4	yes	maximal, complemented
10	#11927055	C₂	1	1	yes	maximal, characteristic, complemented
11	#123×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	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic
15	C₂³×C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
16	C₂²×C₂²⋊D₁₉	C₂²	1	2	yes	complemented
17	#10597435	—	2	8	no	—
18	C₂×#64545	C₂²	1	2	yes	complemented
19	C₂×D₄×D₁₉	C₂²	1	4	yes	—
20	C₂×D₄×D₁₉	C₂²	1	2	yes	complemented
21	C₂×#64541	—	2	8	no	—
22	C₂×#64541	C₂²	1	1	yes	characteristic
23	C₂×#64541	C₂²	1	4	yes	complemented
24	C₂×#64541	C₂²	1	4	yes	complemented
25	C₂×#64541	C₂²	1	2	yes	complemented
26	C₂²×D₇₆	C₂²	1	1	yes	characteristic
27	C₂²×D₇₆	C₂²	1	2	yes	complemented
28	C₂²×C₄×D₁₉	C₂²	1	2	yes	complemented
29	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
30	C₁₉×#123	C₂²	1	2	yes	complemented
31	C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	complemented
32	C₁₉×#121	C₂²	1	2	yes	complemented
33	C₁₉×#120	C₂²	1	2	yes	complemented
34	C₄×D₄×C₁₉	C₂²	1	4	yes	complemented
35	C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
36	#10597399	C₂²	1	2	yes	complemented
37	#10597390	C₂²	1	2	yes	complemented
38	#10597384	C₂²	1	8	yes	complemented
39	#10597383	C₂²	1	8	yes	complemented
40	#10597382	C₂²	1	2	yes	complemented
41	#10597381	C₂²	1	4	yes	complemented
42	#10597376	C₂²	1	2	yes	complemented
43	#10597375	C₂²	1	2	yes	complemented
44	C₄×C₂²⋊D₁₉	C₂²	1	4	yes	complemented
45	#10597372	C₂²	1	1	yes	characteristic, complemented
46	#10597370	C₂²	1	2	yes	complemented
47	#10597370	C₂²	1	4	yes	complemented
48	#10597343	C₂²	1	4	yes	complemented
49	#10597340	C₂²	1	8	yes	complemented
50	#10597339	C₂²	1	4	yes	complemented
51	C₄⋊C₄×D₁₉	C₂²	1	8	yes	complemented
52	#10597332	C₂²	1	4	yes	complemented
53	#10597330	C₂²	1	8	yes	complemented
54	#10597329	C₂²	1	8	yes	complemented
55	#10597329	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	C₄×D₇₆	C₂²	1	4	yes	complemented
60	#10597315	C₂²	1	2	yes	complemented
61	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
62	C₂³×D₁₉	C₂³	1	4	yes	—
63	C₂³×D₁₉	C₂³	1	2	yes	—
64	#41×C₁₉	—	2	4	no	—
65	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
66	C₂×D₄×C₁₉	C₂³	1	2	yes	—
67	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
68	C₂×D₄×C₁₉	C₂³	1	4	yes	—
69	C₂²×C₄×C₁₉	—	2	4	no	—
70	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
71	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
72	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
73	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
74	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
75	C₂×C₂²⋊D₁₉	—	2	8	no	—
76	C₂×C₂²⋊D₁₉	C₂³	1	8	yes	—
77	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	—
78	C₂×C₂²⋊D₁₉	C₂³	1	2	yes	—
79	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	—
80	C₂²×Dic₁₉	C₂³	1	2	yes	—
81	#64545	—	2	8	no	—
82	D₄×D₁₉	—	2	16	no	—
83	D₄×D₁₉	—	2	8	no	—
84	#64541	—	2	4	no	—
85	#64541	—	2	16	no	—
86	#64541	—	2	16	no	—
87	#64541	—	2	8	no	—
88	C₂×D₇₆	—	2	8	no	—
89	C₂×D₇₆	D₄	1	8	yes	complemented
90	C₂×D₇₆	C₂³	1	1	yes	characteristic
91	C₂×D₇₆	C₂³	1	4	yes	—
92	C₂×D₇₆	C₂³	1	2	yes	—
93	C₂×D₇₆	C₂³	1	2	yes	—
94	C₂×C₄×D₁₉	—	2	8	no	—
95	C₂×C₄×D₁₉	C₂³	1	8	yes	—
96	C₂×C₄×D₁₉	C₂³	1	2	yes	—
97	C₂×C₄×D₁₉	C₂³	1	4	yes	—
98	C₂×C₄×D₁₉	C₂³	1	8	yes	—
99	C₂×Dic₃₈	—	2	4	no	—
100	C₂×Dic₃₈	C₂³	1	2	yes	—
101	C₂×Dic₃₈	C₂³	1	2	yes	—
102	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
103	C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
104	C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
105	C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
106	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
107	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
108	C₄²×C₁₉	C₂³	1	2	yes	—
109	C₂²⋊Dic₁₉	C₂³	1	2	yes	—
110	C₂²⋊Dic₁₉	C₂³	1	8	yes	—
111	C₂²⋊Dic₁₉	C₂³	1	4	yes	—
112	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	—
113	(C₂×D₁₉)⋊C₄	C₂³	1	8	yes	—
114	(C₂×D₁₉)⋊C₄	C₂³	1	8	yes	—
115	C₄⋊Dic₁₉	C₂³	1	2	yes	—
116	C₄⋊Dic₁₉	C₂³	1	8	yes	—
117	Dic₁₉⋊C₄	C₂³	1	8	yes	—
118	Dic₁₉⋊C₄	C₂³	1	4	yes	—
119	C₄×Dic₁₉	C₂³	1	2	yes	—
120	C₂³×C₁₉	—	2	2	no	—
121	C₂³×C₁₉	—	4	2	no	—
122	C₂³×C₁₉	C₂⁴	1	2	yes	—
123	C₂³×C₁₉	C₂⁴	1	2	yes	—
124	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
125	C₂²×D₁₉	—	2	8	no	—
126	C₂²×D₁₉	—	4	4	no	—
127	C₂²×D₁₉	—	4	8	no	—
128	C₂²×D₁₉	C₂×D₄	1	8	yes	—
129	C₂²×D₁₉	C₂⁴	1	2	yes	—
130	C₂²×D₁₉	C₂⁴	1	4	yes	—
131	Q₈×C₁₉	—	2	2	no	—
132	D₄×C₁₉	—	2	4	no	—
133	D₄×C₁₉	—	2	2	no	—
134	D₄×C₁₉	—	4	4	no	—
135	C₂×C₄×C₁₉	—	2	2	no	—
136	C₂×C₄×C₁₉	—	2	4	no	—
137	C₂×C₄×C₁₉	—	2	4	no	—
138	C₂×C₄×C₁₉	—	2	4	no	—
139	C₂×C₄×C₁₉	C₂×D₄	1	4	yes	—
140	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
141	C₂×C₄×C₁₉	C₂⁴	1	2	yes	—
142	C₂×C₄×C₁₉	C₂⁴	1	4	yes	—
143	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
144	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
145	C₂²⋊D₁₉	—	2	4	no	—
146	C₂²⋊D₁₉	—	2	16	no	—
147	C₂²⋊D₁₉	—	2	8	no	—
148	C₂²⋊D₁₉	—	4	4	no	—
149	C₂×Dic₁₉	—	2	4	no	—
150	C₂×Dic₁₉	C₂⁴	1	4	yes	—
151	C₂×Dic₁₉	C₂⁴	1	2	yes	—
152	C₂×Dic₁₉	C₂⁴	1	4	yes	—
153	D₇₆	—	2	8	no	—
154	D₇₆	—	2	2	no	—
155	D₇₆	C₂×D₄	1	8	yes	—
156	D₇₆	C₂×D₄	1	8	yes	—
157	C₄×D₁₉	—	2	16	no	—
158	C₄×D₁₉	—	2	8	no	—
159	C₄×D₁₉	—	2	4	no	—
160	C₄×D₁₉	—	4	8	no	—
161	Dic₃₈	—	2	4	no	—
162	Dic₃₈	—	2	4	no	—
163	Dic₃₈	—	2	2	no	—
164	#3485	—	19	1	no	maximal, Sylow
165	C₂²×C₁₉	—	2	2	no	—
166	C₂²×C₁₉	—	2	2	no	—
167	C₂²×C₁₉	—	2	2	no	—
168	C₂²×C₁₉	—	2	2	no	—
169	C₂²×C₁₉	—	2	2	no	—
170	C₂²×C₁₉	—	2	4	no	—
171	C₂²×C₁₉	—	4	4	no	—
172	C₂²×C₁₉	C₂²×D₄	1	2	yes	—
173	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
174	C₂×D₁₉	—	2	8	no	—
175	C₂×D₁₉	—	2	2	no	—
176	C₂×D₁₉	—	2	4	no	—
177	C₂×D₁₉	—	4	8	no	—
178	C₂×D₁₉	—	8	8	no	—
179	C₂×D₁₉	C₂²×D₄	1	8	yes	—
180	C₄×C₁₉	—	2	2	no	—
181	C₄×C₁₉	—	2	2	no	—
182	C₄×C₁₉	—	2	4	no	—
183	C₄×C₁₉	C₂²×D₄	1	2	yes	—
184	C₄×C₁₉	C₂²×D₄	1	2	yes	—
185	Dic₁₉	—	2	4	no	—
186	Dic₁₉	—	2	2	no	—
187	Dic₁₉	—	2	4	no	—
188	C₂×H(5,𝔽₂)	—	19	1	no	—
189	C₂²×#41	—	19	1	no	—
190	#547	—	19	4	no	—
191	#547	—	19	4	no	—
192	#546	—	19	4	no	—
193	#546	—	19	4	no	—
194	#536	—	19	1	no	—
195	#536	—	19	1	no	—
196	#534	—	19	4	no	—
197	#525	—	19	1	no	—
198	#525	D₁₉	1	1	yes	characteristic, complemented
199	C₂×#123	—	19	4	no	—
200	#518	—	19	1	no	—
201	C₂×C₁₉	—	2	2	no	—
202	C₂×C₁₉	—	4	2	no	—
203	C₂×C₁₉	—	4	2	no	—
204	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
205	C₂×C₁₉	#585	1	2	yes	—
206	D₁₉	—	2	8	no	—
207	D₁₉	—	4	2	no	—
208	H(5,𝔽₂)	—	38	8	no	—
209	C₂×#41	—	19	2	no	—
210	C₂×#41	—	19	1	no	—
211	C₂×#41	—	19	4	no	—
212	C₂×#41	—	19	4	no	—
213	C₂×#41	—	19	2	no	—
214	C₂×#41	—	38	8	no	—
215	C₂×#41	C₂×D₁₉	1	1	yes	characteristic
216	C₂²×Q₈	—	19	1	no	—
217	C₂²×D₄	—	19	2	no	—
218	C₂²×D₄	—	19	4	no	—
219	C₂²×D₄	—	19	2	no	—
220	C₂²×D₄	—	19	1	no	—
221	C₂²×D₄	—	19	2	no	—
222	C₂³×C₄	—	19	2	no	—
223	C₂³×C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
224	C₄⋊Q₈	—	19	2	no	—
225	C₄⋊Q₈	—	19	2	no	—
226	#124	—	19	2	no	—
227	#124	—	19	2	no	—
228	#123	—	19	4	no	—
229	#123	—	19	2	no	—
230	#123	—	19	8	no	—
231	#123	—	19	4	no	—
232	#123	—	19	8	no	—
233	#123	—	19	8	no	—
234	#123	C₂×D₁₉	1	2	yes	complemented
235	C₂²⋊Q₈	—	19	2	no	—
236	C₂²⋊Q₈	—	19	4	no	—
237	C₂²⋊Q₈	—	19	4	no	—
238	C₂²⋊Q₈	C₂×D₁₉	1	2	yes	complemented
239	#121	—	19	8	no	—
240	#121	—	19	2	no	—
241	#121	—	19	8	no	—
242	#121	C₂×D₁₉	1	2	yes	complemented
243	#120	—	19	2	no	—
244	#120	—	19	8	no	—
245	#120	C₂×D₁₉	1	2	yes	complemented
246	C₄×D₄	—	19	4	no	—
247	C₄×D₄	—	19	4	no	—
248	C₄×D₄	—	19	4	no	—
249	C₄×D₄	C₂×D₁₉	1	4	yes	complemented
250	#117	—	19	1	no	—
251	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
252	C₂×C₄⋊C₄	—	19	8	no	—
253	C₂×C₂²⋊C₄	—	19	4	no	—
254	C₂×C₂²⋊C₄	—	19	8	no	—
255	C₁₉	#3485	1	1	yes	characteristic, complemented, Sylow
256	C₂⁴	—	19	2	no	—
257	C₂⁴	—	19	4	no	—
258	C₂⁴	C₂²×D₁₉	1	1	yes	characteristic
259	#41	—	2	4	no	—
260	#41	—	38	16	no	—
261	#41	—	38	16	no	—
262	#41	—	38	8	no	—
263	#41	—	38	8	no	—
264	#41	—	38	4	no	—
265	C₂×Q₈	—	19	2	no	—
266	C₂×Q₈	—	19	2	no	—
267	C₂×Q₈	—	19	1	no	—
268	C₂×Q₈	—	38	4	no	—
269	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
270	C₂×D₄	—	19	8	no	—
271	C₂×D₄	—	19	2	no	—
272	C₂×D₄	—	19	4	no	—
273	C₂×D₄	—	19	4	no	—
274	C₂×D₄	—	19	8	no	—
275	C₂×D₄	—	19	2	no	—
276	C₂×D₄	—	19	2	no	—
277	C₂×D₄	—	19	4	no	—
278	C₂×D₄	—	19	1	no	—
279	C₂×D₄	—	38	8	no	—
280	C₂×D₄	—	38	8	no	—
281	C₂×D₄	—	38	16	no	—
282	C₂×D₄	—	38	8	no	—
283	C₂×D₄	C₂²×D₁₉	1	2	yes	—
284	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
285	C₂×D₄	C₂²×D₁₉	1	4	yes	—
286	C₂²×C₄	—	2	4	no	—
287	C₂²×C₄	—	19	2	no	—
288	C₂²×C₄	—	19	8	no	—
289	C₂²×C₄	—	19	4	no	—
290	C₂²×C₄	—	19	2	no	—
291	C₂²×C₄	—	19	8	no	—
292	C₂²×C₄	—	38	8	no	—
293	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
294	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
295	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
296	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
297	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
298	C₄⋊C₄	—	19	4	no	—
299	C₄⋊C₄	—	19	8	no	—
300	C₄⋊C₄	—	19	8	no	—
301	C₄⋊C₄	—	19	2	no	—
302	C₄⋊C₄	C₂²×D₁₉	1	4	yes	—
303	C₄⋊C₄	C₂²×D₁₉	1	2	yes	—
304	C₂²⋊C₄	—	19	2	no	—
305	C₂²⋊C₄	—	19	8	no	—
306	C₂²⋊C₄	—	19	4	no	—
307	C₂²⋊C₄	—	19	4	no	—
308	C₂²⋊C₄	—	19	8	no	—
309	C₂²⋊C₄	—	19	8	no	—
310	C₂²⋊C₄	C₂²×D₁₉	1	2	yes	—
311	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
312	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
313	C₄²	—	19	2	no	—
314	C₄²	C₂²×D₁₉	1	2	yes	—
315	C₂³	—	2	2	no	—
316	C₂³	—	4	2	no	—
317	C₂³	—	19	4	no	—
318	C₂³	—	19	8	no	—
319	C₂³	—	19	2	no	—
320	C₂³	—	38	8	no	—
321	C₂³	—	76	4	no	—
322	C₂³	—	76	8	no	—
323	C₂³	C₂³×D₁₉	1	2	yes	—
324	C₂³	C₂³×D₁₉	1	2	yes	—
325	C₂³	C₂³×D₁₉	1	1	yes	characteristic
326	Q₈	—	2	2	no	—
327	Q₈	—	38	4	no	—
328	Q₈	—	38	4	no	—
329	Q₈	—	38	2	no	—
330	D₄	—	2	4	no	—
331	D₄	—	2	2	no	—
332	D₄	—	4	4	no	—
333	D₄	—	19	8	no	—
334	D₄	—	19	8	no	—
335	D₄	—	38	8	no	—
336	D₄	—	38	8	no	—
337	D₄	—	38	16	no	—
338	D₄	—	38	4	no	—
339	D₄	—	38	2	no	—
340	D₄	—	76	4	no	—
341	C₂×C₄	—	2	2	no	—
342	C₂×C₄	—	2	4	no	—
343	C₂×C₄	—	2	4	no	—
344	C₂×C₄	—	2	4	no	—
345	C₂×C₄	—	19	4	no	—
346	C₂×C₄	—	19	4	no	—
347	C₂×C₄	—	19	2	no	—
348	C₂×C₄	—	38	16	no	—
349	C₂×C₄	—	38	8	no	—
350	C₂×C₄	—	38	4	no	—
351	C₂×C₄	—	38	4	no	—
352	C₂×C₄	—	76	8	no	—
353	C₂×C₄	D₄×D₁₉	1	4	yes	—
354	C₂×C₄	C₂³×D₁₉	1	4	yes	—
355	C₂×C₄	C₂³×D₁₉	1	2	yes	—
356	C₂×C₄	C₂³×D₁₉	1	2	yes	—
357	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
358	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
359	C₂²	—	2	2	no	—
360	C₂²	—	2	2	no	—
361	C₂²	—	2	2	no	—
362	C₂²	—	2	2	no	—
363	C₂²	—	2	4	no	—
364	C₂²	—	2	2	no	—
365	C₂²	—	4	4	no	—
366	C₂²	—	19	8	no	—
367	C₂²	—	38	8	no	—
368	C₂²	—	38	2	no	—
369	C₂²	—	38	4	no	—
370	C₂²	—	76	8	no	—
371	C₂²	—	152	8	no	—
372	C₂²	C₂×D₄×D₁₉	1	2	yes	—
373	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
374	C₄	—	2	2	no	—
375	C₄	—	2	2	no	—
376	C₄	—	2	4	no	—
377	C₄	—	38	2	no	—
378	C₄	—	38	4	no	—
379	C₄	—	38	4	no	—
380	C₄	C₂×D₄×D₁₉	1	2	yes	—
381	C₄	C₂×D₄×D₁₉	1	2	yes	—
382	C₂	—	2	2	no	—
383	C₂	—	4	2	no	—
384	C₂	—	4	2	no	—
385	C₂	—	38	8	no	—
386	C₂	—	76	2	no	—
387	C₂	C₂²×D₄×D₁₉	1	1	yes	characteristic
388	C₂	#11927380	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	#3485
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. C₂²×#64541	C₂	semidirect
3. #11927199	C₂	semidirect
4. #11927196	C₂	semidirect
5. #11927191	C₂	semidirect
6. #11927190	C₂	semidirect
7. #11927120	C₂	semidirect
8. #11927115	C₂	semidirect
9. #11927104	C₂	semidirect
10. #11927055	C₂	semidirect
11. #123×D₁₉	C₂	semidirect
12. #11927018	C₂	semidirect
13. C₁₉×#525	C₂	semidirect
15. C₂³×C₄×C₁₉	C₂²	semidirect
16. C₂²×C₂²⋊D₁₉	C₂²	semidirect
18. C₂×#64545	C₂²	semidirect
20. C₂×D₄×D₁₉	C₂²	semidirect
23. C₂×#64541	C₂²	semidirect
24. C₂×#64541	C₂²	semidirect
25. C₂×#64541	C₂²	semidirect
27. C₂²×D₇₆	C₂²	semidirect
28. C₂²×C₄×D₁₉	C₂²	semidirect
29. C₂²×Dic₃₈	C₂²	semidirect
30. C₁₉×#123	C₂²	semidirect
31. C₁₉×C₂²⋊Q₈	C₂²	semidirect
32. C₁₉×#121	C₂²	semidirect
33. C₁₉×#120	C₂²	semidirect
34. C₄×D₄×C₁₉	C₂²	semidirect
35. C₁₉×#117	C₂²	semidirect
36. #10597399	C₂²	semidirect
37. #10597390	C₂²	semidirect
38. #10597384	C₂²	semidirect
39. #10597383	C₂²	semidirect
40. #10597382	C₂²	semidirect
41. #10597381	C₂²	semidirect
42. #10597376	C₂²	semidirect
43. #10597375	C₂²	semidirect
44. C₄×C₂²⋊D₁₉	C₂²	semidirect
45. #10597372	C₂²	semidirect
46. #10597370	C₂²	semidirect
47. #10597370	C₂²	semidirect
48. #10597343	C₂²	semidirect
49. #10597340	C₂²	semidirect
50. #10597339	C₂²	semidirect
51. C₄⋊C₄×D₁₉	C₂²	semidirect
52. #10597332	C₂²	semidirect
53. #10597330	C₂²	semidirect
54. #10597329	C₂²	semidirect
55. #10597329	C₂²	semidirect
56. C₂²⋊C₄×D₁₉	C₂²	semidirect
57. C₂²⋊C₄×D₁₉	C₂²	semidirect
58. #10597321	C₂²	semidirect
59. C₄×D₇₆	C₂²	semidirect
60. #10597315	C₂²	semidirect
89. C₂×D₇₆	D₄	semidirect
198. #525	D₁₉	semidirect
223. C₂³×C₄	C₂×D₁₉	semidirect
234. #123	C₂×D₁₉	semidirect
238. C₂²⋊Q₈	C₂×D₁₉	semidirect
242. #121	C₂×D₁₉	semidirect
245. #120	C₂×D₁₉	semidirect
249. C₄×D₄	C₂×D₁₉	semidirect
251. #117	C₂×D₁₉	semidirect
255. C₁₉	#3485	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
C₂²×#64541	2
#11927199	2
#11927196	2
#11927191	2
#11927190	2
#11927120	2
#11927115	2
#11927104	2
#11927055	2
#123×D₁₉	2
#11927018	2
C₁₉×#525	2
#3485	19