Subgroups — #14577426

Order 2432.

1540 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10597433	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#10597435	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927206	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927205	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927201	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927191	C₂	1	3	yes	maximal, complemented
7	#11927190	C₂	1	3	yes	maximal, complemented
8	#11927187	C₂	1	3	yes	maximal, complemented
9	#11927185	C₂	1	3	yes	maximal, complemented
10	#11927117	C₂	1	3	yes	maximal, complemented
11	#11927110	C₂	1	3	yes	maximal, complemented
12	#11927091	C₂	1	3	yes	maximal, complemented
13	#124×D₁₉	C₂	1	3	yes	maximal, complemented
14	C₄×#64545	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#548	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic
17	C₂²×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
18	#10597435	—	2	8	no	—
19	#10597433	—	2	8	no	—
20	C₂×#64545	C₂²	1	1	yes	characteristic
21	C₂×#64545	C₂²	1	1	yes	characteristic
22	C₂×#64545	C₂²	1	3	yes	complemented
23	C₂×Q₈×D₁₉	C₂²	1	3	yes	complemented
24	C₂×Q₈×D₁₉	C₂²	1	1	yes	characteristic, complemented
25	C₂×D₄×D₁₉	C₂²	1	3	yes	—
26	C₂×D₄×D₁₉	C₂²	1	3	yes	—
27	C₂×#64541	C₂²	1	3	yes	—
28	C₂×#64541	C₂²	1	3	yes	complemented
29	C₂×#64541	C₂²	1	3	yes	complemented
30	C₂²×D₇₆	C₂²	1	3	yes	—
31	C₁₉×#124	C₂²	1	3	yes	complemented
32	C₁₉×C₂²⋊Q₈	C₂²	1	3	yes	complemented
33	C₁₉×#121	C₂²	1	3	yes	complemented
34	C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
35	C₄×D₄×C₁₉	C₂²	1	3	yes	complemented
36	#10597393	C₂²	1	3	yes	complemented
37	#10597392	C₂²	1	3	yes	complemented
38	Q₈×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
39	#10597386	C₂²	1	3	yes	complemented
40	#10597384	C₂²	1	3	yes	complemented
41	#10597384	C₂²	1	3	yes	complemented
42	#10597383	C₂²	1	6	yes	complemented
43	#10597382	C₂²	1	3	yes	complemented
44	#10597376	C₂²	1	3	yes	complemented
45	C₄×C₂²⋊D₁₉	C₂²	1	3	yes	complemented
46	C₄×C₂²⋊D₁₉	C₂²	1	3	yes	complemented
47	#10597370	C₂²	1	3	yes	complemented
48	#10597343	C₂²	1	3	yes	complemented
49	#10597341	C₂²	1	3	yes	complemented
50	#10597341	C₂²	1	3	yes	complemented
51	#10597340	C₂²	1	6	yes	complemented
52	#10597339	C₂²	1	3	yes	complemented
53	#10597338	C₂²	1	3	yes	complemented
54	#10597334	C₂²	1	3	yes	complemented
55	#10597331	C₂²	1	3	yes	complemented
56	#10597331	C₂²	1	6	yes	complemented
57	#10597331	C₂²	1	1	yes	characteristic, complemented
58	#10597330	C₂²	1	3	yes	complemented
59	#10597330	C₂²	1	3	yes	complemented
60	#10597329	C₂²	1	6	yes	complemented
61	#10597328	C₂²	1	6	yes	complemented
62	C₂²⋊C₄×D₁₉	C₂²	1	6	yes	complemented
63	C₂²⋊C₄×D₁₉	C₂²	1	6	yes	complemented
64	#10597321	C₂²	1	3	yes	complemented
65	C₄×D₇₆	C₂²	1	3	yes	complemented
66	C₄×D₇₆	C₂²	1	3	yes	complemented
67	C₄²×D₁₉	C₂²	1	3	yes	complemented
68	C₂³×D₁₉	C₂³	1	6	yes	—
69	#41×C₁₉	—	2	4	no	—
70	C₂×Q₈×C₁₉	—	2	4	no	—
71	C₂×Q₈×C₁₉	C₂³	1	3	yes	—
72	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
73	C₂×D₄×C₁₉	C₂³	1	3	yes	—
74	C₂×D₄×C₁₉	C₂³	1	3	yes	—
75	C₂²×C₄×C₁₉	C₂³	1	3	yes	—
76	C₂²×C₄×C₁₉	C₂³	1	3	yes	—
77	C₂×C₂²⋊D₁₉	C₂³	1	3	yes	—
78	C₂×C₂²⋊D₁₉	C₂³	1	3	yes	—
79	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
80	C₂×C₂²⋊D₁₉	C₂³	1	3	yes	—
81	C₂×C₂²⋊D₁₉	C₂³	1	3	yes	—
82	C₂×C₂²⋊D₁₉	C₂³	1	3	yes	—
83	#64545	—	2	4	no	—
84	#64545	—	2	12	no	—
85	#64545	D₄	1	8	yes	complemented
86	Q₈×D₁₉	—	2	4	no	—
87	Q₈×D₁₉	—	2	12	no	—
88	D₄×D₁₉	—	2	12	no	—
89	D₄×D₁₉	—	2	12	no	—
90	#64541	—	2	12	no	—
91	#64541	—	2	12	no	—
92	#64541	—	2	12	no	—
93	C₂×D₇₆	—	2	12	no	—
94	C₂×D₇₆	C₂³	1	3	yes	—
95	C₂×D₇₆	C₂³	1	3	yes	—
96	C₂×D₇₆	C₂³	1	3	yes	—
97	C₂×D₇₆	C₂³	1	3	yes	—
98	C₂×D₇₆	C₂³	1	3	yes	—
99	C₂×C₄×D₁₉	C₂³	1	3	yes	—
100	C₂×C₄×D₁₉	C₂³	1	3	yes	—
101	C₂×C₄×D₁₉	C₂³	1	6	yes	—
102	C₂×C₄×D₁₉	C₂³	1	3	yes	—
103	C₂×C₄×D₁₉	C₂³	1	3	yes	—
104	C₂×C₄×D₁₉	C₂³	1	3	yes	—
105	C₂×Dic₃₈	C₂³	1	3	yes	—
106	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
107	C₂×Dic₃₈	C₂³	1	3	yes	—
108	C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
109	C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
110	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
111	C₂²⋊C₄×C₁₉	C₂³	1	3	yes	—
112	C₂²⋊C₄×C₁₉	C₂³	1	6	yes	—
113	C₄²×C₁₉	C₂³	1	3	yes	—
114	C₂²⋊Dic₁₉	C₂³	1	3	yes	—
115	C₂²⋊Dic₁₉	C₂³	1	6	yes	—
116	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
117	(C₂×D₁₉)⋊C₄	C₂³	1	6	yes	—
118	(C₂×D₁₉)⋊C₄	C₂³	1	6	yes	—
119	(C₂×D₁₉)⋊C₄	C₂³	1	6	yes	—
120	(C₂×D₁₉)⋊C₄	C₂³	1	3	yes	—
121	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
122	(C₂×D₁₉)⋊C₄	C₂³	1	3	yes	—
123	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
124	C₄⋊Dic₁₉	C₂³	1	3	yes	—
125	C₄⋊Dic₁₉	C₂³	1	3	yes	—
126	Dic₁₉⋊C₄	C₂³	1	3	yes	—
127	Dic₁₉⋊C₄	C₂³	1	3	yes	—
128	C₄×Dic₁₉	C₂³	1	3	yes	—
129	C₄×Dic₁₉	C₂³	1	3	yes	—
130	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
131	C₂³×C₁₉	C₂⁴	1	3	yes	—
132	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
133	C₂²×D₁₉	—	2	12	no	—
134	C₂²×D₁₉	—	4	6	no	—
135	C₂²×D₁₉	—	4	6	no	—
136	C₂²×D₁₉	C₂⁴	1	3	yes	—
137	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
138	C₂²×D₁₉	C₂⁴	1	3	yes	—
139	Q₈×C₁₉	—	2	6	no	—
140	Q₈×C₁₉	C₂×D₄	1	4	yes	—
141	D₄×C₁₉	—	2	6	no	—
142	D₄×C₁₉	—	4	3	no	—
143	C₂×C₄×C₁₉	—	2	6	no	—
144	C₂×C₄×C₁₉	—	2	6	no	—
145	C₂×C₄×C₁₉	C₂⁴	1	3	yes	—
146	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
147	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
148	C₂×C₄×C₁₉	C₂⁴	1	3	yes	—
149	C₂×C₄×C₁₉	C₂⁴	1	3	yes	—
150	C₂²⋊D₁₉	—	2	6	no	—
151	C₂²⋊D₁₉	—	2	6	no	—
152	C₂²⋊D₁₉	—	2	2	no	—
153	C₂²⋊D₁₉	—	2	6	no	—
154	C₂²⋊D₁₉	—	4	3	no	—
155	C₂²⋊D₁₉	—	4	3	no	—
156	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
157	C₂×Dic₁₉	C₂⁴	1	3	yes	—
158	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
159	C₂×Dic₁₉	C₂⁴	1	3	yes	—
160	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
161	D₇₆	—	2	6	no	—
162	D₇₆	—	2	6	no	—
163	D₇₆	—	2	6	no	—
164	D₇₆	—	4	3	no	—
165	D₇₆	C₂×D₄	1	12	yes	—
166	C₄×D₁₉	—	2	12	no	—
167	C₄×D₁₉	—	2	6	no	—
168	C₄×D₁₉	—	2	6	no	—
169	C₄×D₁₉	—	4	3	no	—
170	C₄×D₁₉	—	4	3	no	—
171	C₄×D₁₉	C₂×D₄	1	12	yes	—
172	Dic₃₈	—	2	6	no	—
173	Dic₃₈	—	2	2	no	—
174	Dic₃₈	—	2	6	no	—
175	#3500	—	19	1	no	maximal, Sylow
176	C₂²×C₁₉	—	2	1	no	—
177	C₂²×C₁₉	—	2	3	no	—
178	C₂²×C₁₉	—	2	1	no	—
179	C₂²×C₁₉	—	2	3	no	—
180	C₂²×C₁₉	—	2	1	no	—
181	C₂²×C₁₉	—	2	3	no	—
182	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
183	C₂×D₁₉	—	2	3	no	—
184	C₂×D₁₉	—	2	3	no	—
185	C₂×D₁₉	—	2	1	no	—
186	C₂×D₁₉	—	2	3	no	—
187	C₂×D₁₉	—	2	1	no	—
188	C₂×D₁₉	—	2	3	no	—
189	C₂×D₁₉	—	2	1	no	—
190	C₂×D₁₉	—	2	3	no	—
191	C₂×D₁₉	—	8	12	no	—
192	C₂×D₁₉	C₂²×D₄	1	6	yes	—
193	C₄×C₁₉	—	2	3	no	—
194	C₄×C₁₉	—	2	1	no	—
195	C₄×C₁₉	—	2	1	no	—
196	C₄×C₁₉	—	2	3	no	—
197	C₄×C₁₉	C₂²×D₄	1	6	yes	—
198	Dic₁₉	—	2	3	no	—
199	Dic₁₉	—	2	1	no	—
200	Dic₁₉	—	2	1	no	—
201	Dic₁₉	—	2	3	no	—
202	Dic₁₉	C₂²×D₄	1	2	yes	—
203	C₂×2₋¹⁺⁴	—	19	1	no	—
204	C₂×H(5,𝔽₂)	—	19	1	no	—
205	#548	—	19	1	no	—
206	#548	—	19	1	no	—
207	#548	—	19	1	no	—
208	#548	D₁₉	1	1	yes	characteristic, complemented
209	#546	—	19	3	no	—
210	#546	—	19	3	no	—
211	#546	—	19	3	no	—
212	#546	—	19	3	no	—
213	#536	—	19	3	no	—
214	#535	—	19	3	no	—
215	#532	—	19	3	no	—
216	C₂×#124	—	19	3	no	—
217	C₄×#41	—	19	1	no	—
218	C₂×C₁₉	—	4	3	no	—
219	C₂×C₁₉	—	4	1	no	—
220	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
221	C₂×C₁₉	#585	1	1	yes	characteristic
222	C₂×C₁₉	#585	1	1	yes	characteristic
223	D₁₉	—	2	6	no	—
224	D₁₉	—	4	1	no	—
225	D₁₉	—	4	3	no	—
226	2₋¹⁺⁴	—	38	8	no	—
227	H(5,𝔽₂)	—	38	8	no	—
228	C₂×#41	—	19	1	no	—
229	C₂×#41	—	19	3	no	—
230	C₂×#41	—	19	1	no	—
231	C₂×#41	—	19	3	no	—
232	C₂×#41	—	19	3	no	—
233	C₂×#41	—	19	3	no	—
234	C₂×#41	C₂×D₁₉	1	1	yes	characteristic
235	C₂²×Q₈	—	19	3	no	—
236	C₂²×Q₈	—	19	1	no	—
237	C₂²×Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
238	C₂²×D₄	—	19	3	no	—
239	C₂²×D₄	—	19	3	no	—
240	C₂²×D₄	—	19	3	no	—
241	C₄⋊Q₈	—	19	3	no	—
242	#127	—	19	3	no	—
243	#124	—	19	3	no	—
244	#124	—	19	3	no	—
245	#124	—	19	3	no	—
246	#124	—	19	6	no	—
247	#124	—	19	1	no	—
248	#124	—	19	3	no	—
249	#124	C₂×D₁₉	1	3	yes	complemented
250	#123	—	19	6	no	—
251	#123	—	19	6	no	—
252	C₂²⋊Q₈	—	19	3	no	—
253	C₂²⋊Q₈	—	19	3	no	—
254	C₂²⋊Q₈	—	19	3	no	—
255	C₂²⋊Q₈	C₂×D₁₉	1	3	yes	complemented
256	#121	—	19	3	no	—
257	#121	—	19	3	no	—
258	#121	—	19	3	no	—
259	#121	—	19	3	no	—
260	#121	—	19	3	no	—
261	#121	—	19	3	no	—
262	#121	—	19	3	no	—
263	#121	C₂×D₁₉	1	3	yes	complemented
264	#120	—	19	6	no	—
265	#120	—	19	6	no	—
266	C₄×Q₈	—	19	1	no	—
267	C₄×Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
268	C₄×D₄	—	19	3	no	—
269	C₄×D₄	—	19	3	no	—
270	C₄×D₄	—	19	3	no	—
271	C₄×D₄	—	19	3	no	—
272	C₄×D₄	—	19	3	no	—
273	C₄×D₄	C₂×D₁₉	1	3	yes	complemented
274	#117	—	19	3	no	—
275	C₂×C₂²⋊C₄	—	19	6	no	—
276	C₂×C₂²⋊C₄	—	19	6	no	—
277	C₂×C₄²	—	19	3	no	—
278	C₁₉	#3500	1	1	yes	characteristic, complemented, Sylow
279	C₂⁴	—	19	6	no	—
280	#41	—	2	4	no	—
281	#41	—	19	8	no	—
282	#41	—	38	12	no	—
283	#41	—	38	12	no	—
284	#41	—	38	12	no	—
285	#41	—	38	12	no	—
286	#41	—	38	4	no	—
287	C₂×Q₈	—	2	4	no	—
288	C₂×Q₈	—	19	3	no	—
289	C₂×Q₈	—	19	3	no	—
290	C₂×Q₈	—	19	1	no	—
291	C₂×Q₈	—	38	12	no	—
292	C₂×Q₈	—	38	4	no	—
293	C₂×Q₈	C₂²×D₁₉	1	3	yes	—
294	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
295	C₂×D₄	—	19	3	no	—
296	C₂×D₄	—	19	3	no	—
297	C₂×D₄	—	19	3	no	—
298	C₂×D₄	—	19	1	no	—
299	C₂×D₄	—	19	3	no	—
300	C₂×D₄	—	19	3	no	—
301	C₂×D₄	—	19	3	no	—
302	C₂×D₄	—	19	3	no	—
303	C₂×D₄	—	19	3	no	—
304	C₂×D₄	—	19	3	no	—
305	C₂×D₄	—	19	3	no	—
306	C₂×D₄	—	38	12	no	—
307	C₂×D₄	—	38	12	no	—
308	C₂×D₄	—	38	12	no	—
309	C₂×D₄	C₂²×D₁₉	1	3	yes	—
310	C₂×D₄	C₂²×D₁₉	1	3	yes	—
311	C₂²×C₄	—	19	3	no	—
312	C₂²×C₄	—	19	6	no	—
313	C₂²×C₄	—	19	3	no	—
314	C₂²×C₄	—	19	3	no	—
315	C₂²×C₄	—	19	3	no	—
316	C₂²×C₄	—	19	3	no	—
317	C₂²×C₄	C₂²×D₁₉	1	3	yes	—
318	C₂²×C₄	C₂²×D₁₉	1	3	yes	—
319	C₄⋊C₄	—	19	3	no	—
320	C₄⋊C₄	—	19	3	no	—
321	C₄⋊C₄	—	19	3	no	—
322	C₄⋊C₄	—	19	3	no	—
323	C₄⋊C₄	C₂²×D₁₉	1	3	yes	—
324	C₄⋊C₄	C₂²×D₁₉	1	3	yes	—
325	C₂²⋊C₄	—	19	3	no	—
326	C₂²⋊C₄	—	19	6	no	—
327	C₂²⋊C₄	—	19	1	no	—
328	C₂²⋊C₄	—	19	3	no	—
329	C₂²⋊C₄	—	19	3	no	—
330	C₂²⋊C₄	—	19	6	no	—
331	C₂²⋊C₄	—	19	6	no	—
332	C₂²⋊C₄	—	19	6	no	—
333	C₂²⋊C₄	—	19	1	no	—
334	C₂²⋊C₄	—	19	1	no	—
335	C₂²⋊C₄	C₂²×D₁₉	1	3	yes	—
336	C₂²⋊C₄	C₂²×D₁₉	1	6	yes	—
337	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
338	C₄²	—	19	1	no	—
339	C₄²	—	19	3	no	—
340	C₄²	—	19	3	no	—
341	C₄²	C₂²×D₁₉	1	3	yes	—
342	C₂³	—	19	3	no	—
343	C₂³	—	19	3	no	—
344	C₂³	—	19	1	no	—
345	C₂³	—	38	12	no	—
346	C₂³	—	76	6	no	—
347	C₂³	—	76	6	no	—
348	C₂³	C₂³×D₁₉	1	3	yes	—
349	C₂³	C₂³×D₁₉	1	1	yes	characteristic
350	Q₈	—	2	6	no	—
351	Q₈	—	38	6	no	—
352	Q₈	—	38	2	no	—
353	Q₈	—	38	6	no	—
354	Q₈	D₄×D₁₉	1	4	yes	—
355	D₄	—	2	6	no	—
356	D₄	—	4	3	no	—
357	D₄	—	19	12	no	—
358	D₄	—	38	6	no	—
359	D₄	—	38	6	no	—
360	D₄	—	38	6	no	—
361	D₄	—	38	2	no	—
362	D₄	—	38	6	no	—
363	D₄	—	38	6	no	—
364	D₄	—	38	6	no	—
365	D₄	—	76	3	no	—
366	D₄	—	76	3	no	—
367	D₄	—	76	3	no	—
368	C₂×C₄	—	2	6	no	—
369	C₂×C₄	—	2	6	no	—
370	C₂×C₄	—	19	1	no	—
371	C₂×C₄	—	19	12	no	—
372	C₂×C₄	—	19	1	no	—
373	C₂×C₄	—	19	3	no	—
374	C₂×C₄	—	19	3	no	—
375	C₂×C₄	—	19	1	no	—
376	C₂×C₄	—	38	12	no	—
377	C₂×C₄	—	38	6	no	—
378	C₂×C₄	—	38	6	no	—
379	C₂×C₄	—	76	3	no	—
380	C₂×C₄	—	76	3	no	—
381	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
382	C₂×C₄	C₂³×D₁₉	1	3	yes	—
383	C₂×C₄	C₂³×D₁₉	1	3	yes	—
384	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
385	C₂×C₄	C₂³×D₁₉	1	3	yes	—
386	C₂²	—	2	1	no	—
387	C₂²	—	2	3	no	—
388	C₂²	—	2	1	no	—
389	C₂²	—	2	3	no	—
390	C₂²	—	2	1	no	—
391	C₂²	—	2	3	no	—
392	C₂²	—	19	6	no	—
393	C₂²	—	38	3	no	—
394	C₂²	—	38	3	no	—
395	C₂²	—	38	1	no	—
396	C₂²	—	38	3	no	—
397	C₂²	—	38	1	no	—
398	C₂²	—	38	3	no	—
399	C₂²	—	38	1	no	—
400	C₂²	—	38	3	no	—
401	C₂²	—	152	12	no	—
402	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
403	C₄	—	2	1	no	—
404	C₄	—	2	3	no	—
405	C₄	—	2	3	no	—
406	C₄	—	2	1	no	—
407	C₄	—	19	2	no	—
408	C₄	—	38	1	no	—
409	C₄	—	38	3	no	—
410	C₄	—	38	1	no	—
411	C₄	—	38	3	no	—
412	C₄	C₂×D₄×D₁₉	1	6	yes	—
413	C₂	—	4	3	no	—
414	C₂	—	4	1	no	—
415	C₂	—	38	6	no	—
416	C₂	—	76	3	no	—
417	C₂	—	76	1	no	—
418	C₂	C₂²×D₄×D₁₉	1	1	yes	characteristic
419	C₂	#11927380	1	1	yes	characteristic
420	C₂	#11927381	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#548	C₂
hypercenter	#548	D₁₉
hypocenter	C₁₉	#3500
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ #548

Complements

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

N	H ≅ G/N	type
1. C₂×#10597433	C₂	semidirect
2. C₂×#10597435	C₂	semidirect
3. #11927206	C₂	semidirect
4. #11927205	C₂	semidirect
5. #11927201	C₂	semidirect
6. #11927191	C₂	semidirect
7. #11927190	C₂	semidirect
8. #11927187	C₂	semidirect
9. #11927185	C₂	semidirect
10. #11927117	C₂	semidirect
11. #11927110	C₂	semidirect
12. #11927091	C₂	semidirect
13. #124×D₁₉	C₂	semidirect
14. C₄×#64545	C₂	semidirect
15. C₁₉×#548	C₂	semidirect
17. C₂²×Q₈×C₁₉	C₂²	semidirect
22. C₂×#64545	C₂²	semidirect
23. C₂×Q₈×D₁₉	C₂²	semidirect
24. C₂×Q₈×D₁₉	C₂²	semidirect
28. C₂×#64541	C₂²	semidirect
29. C₂×#64541	C₂²	semidirect
31. C₁₉×#124	C₂²	semidirect
32. C₁₉×C₂²⋊Q₈	C₂²	semidirect
33. C₁₉×#121	C₂²	semidirect
34. C₄×Q₈×C₁₉	C₂²	semidirect
35. C₄×D₄×C₁₉	C₂²	semidirect
36. #10597393	C₂²	semidirect
37. #10597392	C₂²	semidirect
38. Q₈×Dic₁₉	C₂²	semidirect
39. #10597386	C₂²	semidirect
40. #10597384	C₂²	semidirect
41. #10597384	C₂²	semidirect
42. #10597383	C₂²	semidirect
43. #10597382	C₂²	semidirect
44. #10597376	C₂²	semidirect
45. C₄×C₂²⋊D₁₉	C₂²	semidirect
46. C₄×C₂²⋊D₁₉	C₂²	semidirect
47. #10597370	C₂²	semidirect
48. #10597343	C₂²	semidirect
49. #10597341	C₂²	semidirect
50. #10597341	C₂²	semidirect
51. #10597340	C₂²	semidirect
52. #10597339	C₂²	semidirect
53. #10597338	C₂²	semidirect
54. #10597334	C₂²	semidirect
55. #10597331	C₂²	semidirect
56. #10597331	C₂²	semidirect
57. #10597331	C₂²	semidirect
58. #10597330	C₂²	semidirect
59. #10597330	C₂²	semidirect
60. #10597329	C₂²	semidirect
61. #10597328	C₂²	semidirect
62. C₂²⋊C₄×D₁₉	C₂²	semidirect
63. C₂²⋊C₄×D₁₉	C₂²	semidirect
64. #10597321	C₂²	semidirect
65. C₄×D₇₆	C₂²	semidirect
66. C₄×D₇₆	C₂²	semidirect
67. C₄²×D₁₉	C₂²	semidirect
85. #64545	D₄	semidirect
208. #548	D₁₉	semidirect
237. C₂²×Q₈	C₂×D₁₉	semidirect
249. #124	C₂×D₁₉	semidirect
255. C₂²⋊Q₈	C₂×D₁₉	semidirect
263. #121	C₂×D₁₉	semidirect
267. C₄×Q₈	C₂×D₁₉	semidirect
273. C₄×D₄	C₂×D₁₉	semidirect
278. 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×#10597433	2
C₂×#10597435	2
#11927206	2
#11927205	2
#11927201	2
#11927191	2
#11927190	2
#11927187	2
#11927185	2
#11927117	2
#11927110	2
#11927091	2
#124×D₁₉	2
C₄×#64545	2
C₁₉×#548	2
#3500	19