Subgroups — #14577397

Order 2432.

1660 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	C₂×#10597435	C₂	1	2	yes	maximal, complemented
2	#11927199	C₂	1	2	yes	maximal, complemented
3	#11927197	C₂	1	2	yes	maximal, complemented
4	#11927190	C₂	1	4	yes	maximal, complemented
5	#11927187	C₂	1	4	yes	maximal, complemented
6	D₄×D₇₆	C₂	1	2	yes	maximal, complemented
7	#11927179	C₂	1	2	yes	maximal, complemented
8	#11927122	C₂	1	2	yes	maximal, complemented
9	#11927102	C₂	1	4	yes	maximal, complemented
10	#11927094	C₂	1	1	yes	maximal, characteristic, complemented
11	#121×D₁₉	C₂	1	4	yes	maximal, complemented
12	C₂×C₄×D₇₆	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#532	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#41×C₁₉	C₂²	1	2	yes	complemented
15	#10597435	—	2	16	no	—
16	C₂×#64545	C₂²	1	4	yes	complemented
17	C₂×D₄×D₁₉	C₂²	1	8	yes	complemented
18	C₂×D₄×D₁₉	C₂²	1	4	yes	complemented
19	C₂×D₄×D₁₉	C₂²	1	4	yes	complemented
20	C₂×#64541	C₂²	1	2	yes	complemented
21	C₂×#64541	C₂²	1	4	yes	complemented
22	C₂²×D₇₆	C₂²	1	1	yes	characteristic
23	C₂²×D₇₆	C₂²	1	4	yes	complemented
24	C₂²×C₄×D₁₉	C₂²	1	2	yes	complemented
25	C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
26	C₁₉×#127	C₂²	1	1	yes	characteristic, complemented
27	C₁₉×#124	C₂²	1	2	yes	complemented
28	C₁₉×#121	C₂²	1	2	yes	complemented
29	C₁₉×#121	C₂²	1	2	yes	complemented
30	C₄×D₄×C₁₉	C₂²	1	2	yes	complemented
31	C₄×D₄×C₁₉	C₂²	1	2	yes	complemented
32	C₂×C₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
33	#10597392	C₂²	1	4	yes	complemented
34	#10597385	C₂²	1	8	yes	complemented
35	#10597384	C₂²	1	4	yes	complemented
36	#10597384	C₂²	1	4	yes	complemented
37	#10597383	C₂²	1	8	yes	complemented
38	#10597376	C₂²	1	2	yes	complemented
39	#10597376	C₂²	1	2	yes	complemented
40	#10597376	C₂²	1	4	yes	complemented
41	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	2	yes	complemented
42	C₂×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic, complemented
43	#10597370	C₂²	1	4	yes	complemented
44	#10597341	C₂²	1	4	yes	complemented
45	#10597340	C₂²	1	8	yes	complemented
46	C₄⋊C₄×D₁₉	C₂²	1	4	yes	complemented
47	#10597330	C₂²	1	8	yes	complemented
48	#10597329	C₂²	1	8	yes	complemented
49	#10597328	C₂²	1	8	yes	complemented
50	C₂²⋊C₄×D₁₉	C₂²	1	8	yes	complemented
51	#10597321	C₂²	1	2	yes	complemented
52	#10597320	C₂²	1	1	yes	characteristic, complemented
53	C₄×D₇₆	C₂²	1	2	yes	complemented
54	C₄×D₇₆	C₂²	1	2	yes	complemented
55	C₄×D₇₆	C₂²	1	2	yes	complemented
56	C₄×D₇₆	C₂²	1	2	yes	complemented
57	C₄×D₇₆	C₂²	1	2	yes	complemented
58	C₄×D₇₆	C₂²	1	2	yes	complemented
59	#10597315	C₂²	1	1	yes	characteristic, complemented
60	C₂³×D₁₉	C₂³	1	8	yes	—
61	C₂³×D₁₉	C₂³	1	2	yes	—
62	#41×C₁₉	—	2	8	no	—
63	C₂×Q₈×C₁₉	C₂³	1	2	yes	—
64	C₂×D₄×C₁₉	C₂³	1	2	yes	—
65	C₂×D₄×C₁₉	C₂³	1	2	yes	—
66	C₂×D₄×C₁₉	C₂³	1	4	yes	—
67	C₂×D₄×C₁₉	C₂³	1	2	yes	—
68	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
69	C₂²×C₄×C₁₉	C₂³	1	4	yes	—
70	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
71	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
72	C₂×C₂²⋊D₁₉	C₂³	1	4	yes	—
73	C₂×C₂²⋊D₁₉	C₂³	1	8	yes	—
74	C₂×C₂²⋊D₁₉	C₂³	1	8	yes	—
75	C₂²×Dic₁₉	C₂³	1	2	yes	—
76	#64545	—	2	16	no	—
77	D₄×D₁₉	—	2	32	no	—
78	D₄×D₁₉	—	2	16	no	—
79	D₄×D₁₉	—	4	8	no	—
80	#64541	—	2	8	no	—
81	#64541	—	2	16	no	—
82	C₂×D₇₆	—	2	16	no	—
83	C₂×D₇₆	D₄	1	8	yes	complemented
84	C₂×D₇₆	C₂³	1	2	yes	—
85	C₂×D₇₆	C₂³	1	2	yes	—
86	C₂×D₇₆	C₂³	1	8	yes	—
87	C₂×D₇₆	C₂³	1	2	yes	—
88	C₂×D₇₆	C₂³	1	2	yes	—
89	C₂×D₇₆	C₂³	1	2	yes	—
90	C₂×C₄×D₁₉	—	4	4	no	—
91	C₂×C₄×D₁₉	C₂³	1	4	yes	—
92	C₂×C₄×D₁₉	C₂³	1	4	yes	—
93	C₂×C₄×D₁₉	C₂³	1	8	yes	—
94	C₂×C₄×D₁₉	C₂³	1	4	yes	—
95	C₂×Dic₃₈	C₂³	1	2	yes	—
96	C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
97	C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
98	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
99	C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
100	C₄²×C₁₉	C₂³	1	1	yes	characteristic
101	C₄²×C₁₉	C₂³	1	1	yes	characteristic
102	C₄²×C₁₉	C₂³	1	1	yes	characteristic
103	C₄²×C₁₉	C₂³	1	1	yes	characteristic
104	C₂²⋊Dic₁₉	C₂³	1	8	yes	—
105	(C₂×D₁₉)⋊C₄	C₂³	1	4	yes	—
106	(C₂×D₁₉)⋊C₄	C₂³	1	8	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	C₄⋊Dic₁₉	C₂³	1	2	yes	—
111	C₄⋊Dic₁₉	C₂³	1	2	yes	—
112	C₄⋊Dic₁₉	C₂³	1	2	yes	—
113	C₄⋊Dic₁₉	C₂³	1	2	yes	—
114	Dic₁₉⋊C₄	C₂³	1	8	yes	—
115	C₂³×C₁₉	C₂⁴	1	4	yes	—
116	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
117	C₂²×D₁₉	—	2	16	no	—
118	C₂²×D₁₉	—	4	2	no	—
119	C₂²×D₁₉	—	4	2	no	—
120	C₂²×D₁₉	—	4	8	no	—
121	C₂²×D₁₉	—	4	8	no	—
122	C₂²×D₁₉	C₂×D₄	1	8	yes	complemented
123	C₂²×D₁₉	C₂⁴	1	4	yes	—
124	C₂²×D₁₉	C₂⁴	1	4	yes	—
125	Q₈×C₁₉	—	2	4	no	—
126	D₄×C₁₉	—	2	8	no	—
127	D₄×C₁₉	—	2	4	no	—
128	D₄×C₁₉	—	2	4	no	—
129	D₄×C₁₉	—	4	2	no	—
130	C₂×C₄×C₁₉	—	2	8	no	—
131	C₂×C₄×C₁₉	—	2	2	no	—
132	C₂×C₄×C₁₉	—	4	1	no	—
133	C₂×C₄×C₁₉	C₂×D₄	1	4	yes	complemented
134	C₂×C₄×C₁₉	C₂⁴	1	4	yes	—
135	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
136	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
137	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
138	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
139	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
140	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
141	C₂²⋊D₁₉	—	2	8	no	—
142	C₂²⋊D₁₉	—	2	16	no	—
143	C₂²⋊D₁₉	—	4	8	no	—
144	C₂×Dic₁₉	—	4	2	no	—
145	C₂×Dic₁₉	C₂⁴	1	4	yes	—
146	C₂×Dic₁₉	C₂⁴	1	4	yes	—
147	D₇₆	—	2	16	no	—
148	D₇₆	—	2	4	no	—
149	D₇₆	—	2	4	no	—
150	D₇₆	—	4	2	no	—
151	D₇₆	C₂×D₄	1	8	yes	complemented
152	D₇₆	C₂×D₄	1	8	yes	complemented
153	C₄×D₁₉	—	2	16	no	—
154	C₄×D₁₉	—	2	8	no	—
155	C₄×D₁₉	—	2	8	no	—
156	C₄×D₁₉	—	4	4	no	—
157	Dic₃₈	—	2	4	no	—
158	#3496	—	19	1	no	maximal, Sylow
159	C₂²×C₁₉	—	2	1	no	—
160	C₂²×C₁₉	—	2	1	no	—
161	C₂²×C₁₉	—	2	4	no	—
162	C₂²×C₁₉	—	2	4	no	—
163	C₂²×C₁₉	—	2	4	no	—
164	C₂²×C₁₉	C₂²×D₄	1	2	yes	—
165	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
166	C₂×D₁₉	—	2	4	no	—
167	C₂×D₁₉	—	2	4	no	—
168	C₂×D₁₉	—	2	4	no	—
169	C₂×D₁₉	—	2	4	no	—
170	C₂×D₁₉	—	2	4	no	—
171	C₂×D₁₉	—	4	8	no	—
172	C₂×D₁₉	—	8	16	no	—
173	C₂×D₁₉	C₂²×D₄	1	8	yes	—
174	C₄×C₁₉	—	2	4	no	—
175	C₄×C₁₉	—	2	1	no	—
176	C₄×C₁₉	—	2	1	no	—
177	C₄×C₁₉	—	2	1	no	—
178	C₄×C₁₉	C₂²×D₄	1	2	yes	—
179	C₄×C₁₉	C₂²×D₄	1	2	yes	—
180	C₄×C₁₉	H(5,𝔽₂)	1	2	yes	complemented
181	Dic₁₉	—	2	4	no	—
182	Dic₁₉	—	2	4	no	—
183	C₂×H(5,𝔽₂)	—	19	2	no	—
184	#547	—	19	2	no	—
185	#547	—	19	2	no	—
186	#546	—	19	4	no	—
187	#546	—	19	4	no	—
188	D₄²	—	19	2	no	—
189	D₄²	—	19	2	no	—
190	#537	—	19	2	no	—
191	#534	—	19	4	no	—
192	#532	—	19	1	no	—
193	#532	D₁₉	1	1	yes	characteristic, complemented
194	C₂×#121	—	19	4	no	—
195	C₂×C₄×D₄	—	19	1	no	—
196	C₂×C₁₉	—	2	2	no	—
197	C₂×C₁₉	—	4	4	no	—
198	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
199	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
200	C₂×C₁₉	#585	1	1	yes	characteristic
201	D₁₉	—	2	8	no	—
202	D₁₉	—	4	4	no	—
203	H(5,𝔽₂)	—	38	16	no	—
204	C₂×#41	—	19	4	no	—
205	C₂×#41	—	19	2	no	—
206	C₂×#41	—	19	4	no	—
207	C₂×#41	C₂×D₁₉	1	2	yes	complemented
208	C₂²×D₄	—	19	8	no	—
209	C₂²×D₄	—	19	4	no	—
210	C₂²×D₄	—	19	4	no	—
211	C₂²×D₄	—	19	1	no	—
212	C₂²×D₄	—	19	4	no	—
213	C₂³×C₄	—	19	2	no	—
214	C₄⋊Q₈	—	19	1	no	—
215	C₄⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
216	#127	—	19	1	no	—
217	#127	C₂×D₁₉	1	1	yes	characteristic, complemented
218	#124	—	19	2	no	—
219	#124	C₂×D₁₉	1	2	yes	complemented
220	#123	—	19	8	no	—
221	#123	—	19	8	no	—
222	C₂²⋊Q₈	—	19	4	no	—
223	C₂²⋊Q₈	—	19	4	no	—
224	#121	—	19	4	no	—
225	#121	—	19	4	no	—
226	#121	—	19	8	no	—
227	#121	—	19	2	no	—
228	#121	—	19	2	no	—
229	#121	—	19	4	no	—
230	#121	—	19	4	no	—
231	#121	—	19	8	no	—
232	#121	C₂×D₁₉	1	2	yes	complemented
233	#121	C₂×D₁₉	1	2	yes	complemented
234	#120	—	19	8	no	—
235	#120	—	19	8	no	—
236	C₄×D₄	—	19	2	no	—
237	C₄×D₄	—	19	2	no	—
238	C₄×D₄	—	19	2	no	—
239	C₄×D₄	—	19	2	no	—
240	C₄×D₄	—	19	2	no	—
241	C₄×D₄	—	19	2	no	—
242	C₄×D₄	C₂×D₁₉	1	2	yes	complemented
243	C₄×D₄	C₂×D₁₉	1	2	yes	complemented
244	C₂×C₄⋊C₄	—	19	1	no	—
245	C₂×C₄⋊C₄	—	19	4	no	—
246	C₂×C₂²⋊C₄	—	19	2	no	—
247	C₂×C₂²⋊C₄	—	19	8	no	—
248	C₂×C₄²	C₂×D₁₉	1	1	yes	characteristic, complemented
249	C₁₉	#3496	1	1	yes	characteristic, complemented, Sylow
250	C₂⁴	—	19	2	no	—
251	C₂⁴	—	19	8	no	—
252	#41	—	2	8	no	—
253	#41	—	38	16	no	—
254	#41	—	38	16	no	—
255	#41	—	38	8	no	—
256	C₂×Q₈	—	19	2	no	—
257	C₂×Q₈	C₂²×D₁₉	1	2	yes	—
258	C₂×D₄	—	19	8	no	—
259	C₂×D₄	—	19	4	no	—
260	C₂×D₄	—	19	8	no	—
261	C₂×D₄	—	19	8	no	—
262	C₂×D₄	—	19	2	no	—
263	C₂×D₄	—	19	2	no	—
264	C₂×D₄	—	19	2	no	—
265	C₂×D₄	—	19	8	no	—
266	C₂×D₄	—	19	2	no	—
267	C₂×D₄	—	19	2	no	—
268	C₂×D₄	—	38	16	no	—
269	C₂×D₄	—	38	16	no	—
270	C₂×D₄	—	38	32	no	—
271	C₂×D₄	—	76	8	no	—
272	C₂×D₄	C₂²×D₁₉	1	2	yes	—
273	C₂×D₄	C₂²×D₁₉	1	4	yes	—
274	C₂×D₄	C₂²×D₁₉	1	2	yes	—
275	C₂×D₄	C₂²×D₁₉	1	2	yes	—
276	C₂²×C₄	—	19	2	no	—
277	C₂²×C₄	—	19	8	no	—
278	C₂²×C₄	—	19	4	no	—
279	C₂²×C₄	—	19	4	no	—
280	C₂²×C₄	—	19	4	no	—
281	C₂²×C₄	—	76	4	no	—
282	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
283	C₂²×C₄	C₂²×D₁₉	1	4	yes	—
284	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
285	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
286	C₄⋊C₄	—	19	8	no	—
287	C₄⋊C₄	—	19	2	no	—
288	C₄⋊C₄	—	19	2	no	—
289	C₄⋊C₄	—	19	2	no	—
290	C₄⋊C₄	—	19	2	no	—
291	C₄⋊C₄	C₂²×D₁₉	1	2	yes	—
292	C₄⋊C₄	C₂²×D₁₉	1	2	yes	—
293	C₂²⋊C₄	—	19	8	no	—
294	C₂²⋊C₄	—	19	4	no	—
295	C₂²⋊C₄	—	19	4	no	—
296	C₂²⋊C₄	—	19	4	no	—
297	C₂²⋊C₄	—	19	8	no	—
298	C₂²⋊C₄	—	19	4	no	—
299	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
300	C₂²⋊C₄	C₂²×D₁₉	1	4	yes	—
301	C₄²	C₂²×D₁₉	1	1	yes	characteristic
302	C₄²	C₂²×D₁₉	1	1	yes	characteristic
303	C₄²	C₂²×D₁₉	1	1	yes	characteristic
304	C₄²	C₂²×D₁₉	1	1	yes	characteristic
305	C₂³	—	19	4	no	—
306	C₂³	—	19	8	no	—
307	C₂³	—	19	4	no	—
308	C₂³	—	38	16	no	—
309	C₂³	—	76	2	no	—
310	C₂³	—	76	2	no	—
311	C₂³	—	76	8	no	—
312	C₂³	—	76	8	no	—
313	C₂³	C₂³×D₁₉	1	4	yes	—
314	C₂³	C₂³×D₁₉	1	1	yes	characteristic
315	Q₈	—	2	4	no	—
316	Q₈	—	38	4	no	—
317	D₄	—	2	8	no	—
318	D₄	—	2	4	no	—
319	D₄	—	2	4	no	—
320	D₄	—	4	2	no	—
321	D₄	—	19	8	no	—
322	D₄	—	19	8	no	—
323	D₄	—	38	16	no	—
324	D₄	—	38	16	no	—
325	D₄	—	38	8	no	—
326	D₄	—	38	4	no	—
327	D₄	—	38	4	no	—
328	D₄	—	76	2	no	—
329	D₄	—	76	8	no	—
330	C₂×C₄	—	2	8	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	19	4	no	—
334	C₂×C₄	—	19	4	no	—
335	C₂×C₄	—	38	16	no	—
336	C₂×C₄	—	38	8	no	—
337	C₂×C₄	—	38	8	no	—
338	C₂×C₄	—	76	4	no	—
339	C₂×C₄	—	76	2	no	—
340	C₂×C₄	D₄×D₁₉	1	4	yes	complemented
341	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
342	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
343	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
344	C₂×C₄	C₂³×D₁₉	1	4	yes	—
345	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
346	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
347	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	2	4	no	—
351	C₂²	—	2	4	no	—
352	C₂²	—	2	4	no	—
353	C₂²	—	19	8	no	—
354	C₂²	—	38	4	no	—
355	C₂²	—	38	4	no	—
356	C₂²	—	38	4	no	—
357	C₂²	—	38	4	no	—
358	C₂²	—	38	4	no	—
359	C₂²	—	76	8	no	—
360	C₂²	—	152	16	no	—
361	C₂²	C₂×D₄×D₁₉	1	2	yes	—
362	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
363	C₄	—	2	4	no	—
364	C₄	—	2	1	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	38	4	no	—
368	C₄	—	38	4	no	—
369	C₄	C₂×D₄×D₁₉	1	2	yes	—
370	C₄	C₂×D₄×D₁₉	1	2	yes	—
371	C₄	#10597435	1	2	yes	complemented
372	C₂	—	2	2	no	—
373	C₂	—	4	4	no	—
374	C₂	—	38	8	no	—
375	C₂	—	76	4	no	—
376	C₂	C₂²×D₄×D₁₉	1	1	yes	characteristic
377	C₂	C₂×#10597435	1	1	yes	characteristic
378	C₂	#11927380	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#532	C₂
hypercenter	#532	D₁₉
hypocenter	C₁₉	#3496
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×#10597435	C₂	semidirect
2. #11927199	C₂	semidirect
3. #11927197	C₂	semidirect
4. #11927190	C₂	semidirect
5. #11927187	C₂	semidirect
6. D₄×D₇₆	C₂	semidirect
7. #11927179	C₂	semidirect
8. #11927122	C₂	semidirect
9. #11927102	C₂	semidirect
10. #11927094	C₂	semidirect
11. #121×D₁₉	C₂	semidirect
12. C₂×C₄×D₇₆	C₂	semidirect
13. C₁₉×#532	C₂	semidirect
14. C₂×#41×C₁₉	C₂²	semidirect
16. C₂×#64545	C₂²	semidirect
17. C₂×D₄×D₁₉	C₂²	semidirect
18. C₂×D₄×D₁₉	C₂²	semidirect
19. C₂×D₄×D₁₉	C₂²	semidirect
20. C₂×#64541	C₂²	semidirect
21. C₂×#64541	C₂²	semidirect
23. C₂²×D₇₆	C₂²	semidirect
24. C₂²×C₄×D₁₉	C₂²	semidirect
25. C₁₉×C₄⋊Q₈	C₂²	semidirect
26. C₁₉×#127	C₂²	semidirect
27. C₁₉×#124	C₂²	semidirect
28. C₁₉×#121	C₂²	semidirect
29. C₁₉×#121	C₂²	semidirect
30. C₄×D₄×C₁₉	C₂²	semidirect
31. C₄×D₄×C₁₉	C₂²	semidirect
32. C₂×C₄²×C₁₉	C₂²	semidirect
33. #10597392	C₂²	semidirect
34. #10597385	C₂²	semidirect
35. #10597384	C₂²	semidirect
36. #10597384	C₂²	semidirect
37. #10597383	C₂²	semidirect
38. #10597376	C₂²	semidirect
39. #10597376	C₂²	semidirect
40. #10597376	C₂²	semidirect
41. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
42. C₂×C₄⋊Dic₁₉	C₂²	semidirect
43. #10597370	C₂²	semidirect
44. #10597341	C₂²	semidirect
45. #10597340	C₂²	semidirect
46. C₄⋊C₄×D₁₉	C₂²	semidirect
47. #10597330	C₂²	semidirect
48. #10597329	C₂²	semidirect
49. #10597328	C₂²	semidirect
50. C₂²⋊C₄×D₁₉	C₂²	semidirect
51. #10597321	C₂²	semidirect
52. #10597320	C₂²	semidirect
53. C₄×D₇₆	C₂²	semidirect
54. C₄×D₇₆	C₂²	semidirect
55. C₄×D₇₆	C₂²	semidirect
56. C₄×D₇₆	C₂²	semidirect
57. C₄×D₇₆	C₂²	semidirect
58. C₄×D₇₆	C₂²	semidirect
59. #10597315	C₂²	semidirect
83. C₂×D₇₆	D₄	semidirect
122. C₂²×D₁₉	C₂×D₄	semidirect
133. C₂×C₄×C₁₉	C₂×D₄	semidirect
151. D₇₆	C₂×D₄	semidirect
152. D₇₆	C₂×D₄	semidirect
180. C₄×C₁₉	H(5,𝔽₂)	semidirect
193. #532	D₁₉	semidirect
207. C₂×#41	C₂×D₁₉	semidirect
215. C₄⋊Q₈	C₂×D₁₉	semidirect
217. #127	C₂×D₁₉	semidirect
219. #124	C₂×D₁₉	semidirect
232. #121	C₂×D₁₉	semidirect
233. #121	C₂×D₁₉	semidirect
242. C₄×D₄	C₂×D₁₉	semidirect
243. C₄×D₄	C₂×D₁₉	semidirect
248. C₂×C₄²	C₂×D₁₉	semidirect
249. C₁₉	#3496	semidirect
340. C₂×C₄	D₄×D₁₉	semidirect
371. C₄	#10597435	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
#11927199	2
#11927197	2
#11927190	2
#11927187	2
D₄×D₇₆	2
#11927179	2
#11927122	2
#11927102	2
#11927094	2
#121×D₁₉	2
C₂×C₄×D₇₆	2
C₁₉×#532	2
#3496	19