Subgroups — #28356037

Order 13851.

758 conjugacy classes of subgroups.

The subgroup lattice has 398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#13095333	C₃	1	1	yes	maximal, characteristic
2	#17987472	C₃	1	1	yes	maximal, characteristic, complemented
3	#17987471	C₃	1	1	yes	maximal, characteristic, complemented
4	#17987468	C₃	1	1	yes	maximal, characteristic, complemented
5	#17987465	C₃	1	2	yes	maximal, complemented
6	#17987464	C₃	1	2	yes	maximal, complemented
7	#17987460	C₃	1	2	yes	maximal, complemented
8	#17987451	C₃	1	2	yes	maximal, complemented
9	#17987450	C₃	1	2	yes	maximal, complemented
10	#17987448	C₃	1	1	yes	maximal, characteristic, complemented
11	#17987448	C₃	1	1	yes	maximal, characteristic, complemented
12	#17987447	C₃	1	2	yes	maximal, complemented
13	#17987437	C₃	1	2	yes	maximal, complemented
14	#17987436	C₃	1	2	yes	maximal, complemented
15	#17987434	C₃	1	1	yes	maximal, characteristic, complemented
16	#17987433	C₃	1	1	yes	maximal, characteristic, complemented
17	#17987424	C₃	1	2	yes	maximal
18	#17987422	C₃	1	1	yes	maximal, characteristic
19	#17987415	C₃	1	2	yes	maximal, complemented
20	3₋¹⁺²×#4294	C₃	1	1	yes	maximal, characteristic, complemented
21	#17987410	C₃	1	1	yes	maximal, characteristic, complemented
22	#17987410	C₃	1	2	yes	maximal, complemented
23	#17987409	C₃	1	1	yes	maximal, characteristic, complemented
24	#17987409	C₃	1	2	yes	maximal, complemented
25	#17987404	C₃	1	2	yes	maximal, complemented
26	C₉²×C₁₉⋊C₃	C₃	1	1	yes	maximal, characteristic, complemented
27	C₁₉×#6896	C₃	1	1	yes	maximal, characteristic, complemented
28	#13095333	—	3	9	no	—
29	C₃×#10587025	C₃²	1	2	yes	—
30	C₃×#10587025	C₃²	1	1	yes	characteristic
31	C₃×#10587022	C₃²	1	1	yes	characteristic
32	C₃×#10587022	C₃²	1	2	yes	—
33	C₃×#10587022	C₃²	1	1	yes	characteristic
34	C₃×#10587022	C₃²	1	1	yes	characteristic
35	C₃×#10587022	C₃²	1	1	yes	characteristic
36	C₃×#10587023	C₃²	1	1	yes	characteristic
37	C₃×#10587023	C₃²	1	2	yes	—
38	C₃×#10587023	C₃²	1	1	yes	characteristic
39	C₃×#10587023	C₃²	1	1	yes	characteristic
40	C₃×#10587023	C₃²	1	1	yes	characteristic
41	C₃×C₃²⋊(C₁₉⋊C₃)	C₃²	1	1	yes	characteristic
42	C₃²×#4294	C₃²	1	1	yes	characteristic
43	C₃×C₉×C₁₉⋊C₃	C₃²	1	1	yes	characteristic
44	C₃×C₉×C₁₉⋊C₃	C₃²	1	2	yes	—
45	C₃×C₉×C₁₉⋊C₃	C₃²	1	1	yes	characteristic
46	C₃×C₉×C₁₉⋊C₃	C₃²	1	1	yes	characteristic
47	C₃×C₉×C₁₉⋊C₃	C₃²	1	1	yes	characteristic
48	#13095307	C₃²	1	2	yes	—
49	#13095307	C₃²	1	1	yes	characteristic
50	#13095307	C₃²	1	2	yes	—
51	#13095307	C₃²	1	1	yes	characteristic
52	#13095307	C₃²	1	2	yes	—
53	#13095306	C₃²	1	2	yes	—
54	#13095306	C₃²	1	1	yes	characteristic
55	#13095306	C₃²	1	2	yes	—
56	#13095306	C₃²	1	1	yes	characteristic
57	#13095306	C₃²	1	2	yes	—
58	#13095305	C₃²	1	2	yes	—
59	#13095305	C₃²	1	2	yes	—
60	#13095305	C₃²	1	2	yes	—
61	#13095305	C₃²	1	2	yes	—
62	#13095305	C₃²	1	2	yes	—
63	#13095305	C₃²	1	2	yes	—
64	#13095305	C₃²	1	2	yes	—
65	#13095305	C₃²	1	2	yes	—
66	#13095305	C₃²	1	2	yes	—
67	#13095305	C₃²	1	2	yes	—
68	#13095305	C₃²	1	2	yes	—
69	#13095305	C₃²	1	2	yes	—
70	#13095305	C₃²	1	2	yes	—
71	#13095305	C₃²	1	2	yes	—
72	#13095305	C₃²	1	2	yes	—
73	#13095305	C₃²	1	2	yes	—
74	#13095305	C₃²	1	2	yes	—
75	#13095305	C₃²	1	2	yes	—
76	#13095305	C₃²	1	2	yes	—
77	#13095305	C₃²	1	2	yes	—
78	#13095305	C₃²	1	2	yes	—
79	C₃²⋊#4294	C₃²	1	2	yes	—
80	C₃²⋊#4294	C₃²	1	2	yes	—
81	#13095303	C₃²	1	2	yes	—
82	#13095303	C₃²	1	2	yes	—
83	#13095303	C₃²	1	2	yes	—
84	#13095303	C₃²	1	2	yes	—
85	#13095303	C₃²	1	2	yes	—
86	#13095303	C₃²	1	2	yes	—
87	#13095303	C₃²	1	2	yes	—
88	#13095303	C₃²	1	2	yes	—
89	#13095303	C₃²	1	2	yes	—
90	C₉×#4294	C₃²	1	1	yes	characteristic
91	C₉×#4294	C₃²	1	2	yes	—
92	C₉×#4294	C₃²	1	2	yes	—
93	C₉×#4294	C₃²	1	2	yes	—
94	C₉×#4294	C₃²	1	1	yes	characteristic
95	C₉×#4294	C₃²	1	2	yes	—
96	C₉×#4294	C₃²	1	2	yes	—
97	C₉×#4294	C₃²	1	2	yes	—
98	C₃×C₁₉×3₋¹⁺²	C₃²	1	1	yes	characteristic
99	C₃×C₁₉×3₋¹⁺²	C₃²	1	1	yes	characteristic
100	C₁₉×C₉⋊C₉	C₃²	1	2	yes	—
101	C₁₉×C₉⋊C₉	C₃²	1	1	yes	characteristic
102	C₁₉×C₉⋊C₉	C₃²	1	2	yes	—
103	C₁₉×C₉⋊C₉	C₃²	1	1	yes	characteristic
104	C₁₉×C₉⋊C₉	C₃²	1	2	yes	—
105	C₁₉×C₃²⋊C₉	C₃²	1	2	yes	—
106	C₉²×C₁₉	C₃²	1	1	yes	characteristic
107	#10624879	—	19	1	no	maximal, Sylow
108	C₃³×C₁₉	C₃³	1	1	yes	characteristic
109	C₃²×C₁₉⋊C₃	C₃³	1	1	yes	characteristic
110	C₃²×C₁₉⋊C₃	C₃³	1	1	yes	characteristic
111	C₃²×C₁₉⋊C₃	C₃³	1	1	yes	characteristic
112	C₁₉×3₋¹⁺²	—	3	3	no	—
113	C₁₉×3₋¹⁺²	—	3	3	no	—
114	C₃×C₉×C₁₉	C₃³	1	2	yes	—
115	C₃×C₉×C₁₉	C₃³	1	2	yes	—
116	C₃×C₉×C₁₉	C₃³	1	2	yes	—
117	C₃×C₉×C₁₉	C₃³	1	2	yes	—
118	C₃×C₉×C₁₉	C₃³	1	1	yes	characteristic
119	C₃×C₉×C₁₉	C₃³	1	1	yes	characteristic
120	C₃×C₉×C₁₉	C₃³	1	1	yes	characteristic
121	C₃×C₉×C₁₉	C₃³	1	1	yes	characteristic
122	C₃²⋊(C₁₉⋊C₃)	—	3	3	no	—
123	#10587025	—	3	3	no	—
124	#10587025	—	3	6	no	—
125	C₃×#4294	—	3	3	no	—
126	C₃×#4294	C₃³	1	2	yes	—
127	C₃×#4294	C₃³	1	2	yes	—
128	C₃×#4294	C₃³	1	2	yes	—
129	C₃×#4294	C₃³	1	2	yes	—
130	C₃×#4294	C₃³	1	2	yes	—
131	C₃×#4294	C₃³	1	2	yes	—
132	C₃×#4294	C₃³	1	2	yes	—
133	C₃×#4294	C₃³	1	2	yes	—
134	C₃×#4294	C₃³	1	1	yes	characteristic
135	C₃×#4294	C₃³	1	1	yes	characteristic
136	C₃×#4294	C₃³	1	1	yes	characteristic
137	C₃×#4294	C₃³	1	1	yes	characteristic
138	C₃×#4294	C₃³	1	1	yes	characteristic
139	C₃×#4294	C₃³	1	1	yes	characteristic
140	C₃×#4294	C₃³	1	2	yes	—
141	#10587023	—	3	3	no	—
142	#10587023	—	3	3	no	—
143	#10587023	—	3	3	no	—
144	#10587023	—	3	3	no	—
145	#10587023	—	3	6	no	—
146	#10587022	—	3	3	no	—
147	#10587022	—	3	3	no	—
148	#10587022	—	3	3	no	—
149	#10587022	—	3	3	no	—
150	#10587022	—	3	6	no	—
151	C₉×C₁₉⋊C₃	—	3	3	no	—
152	C₉×C₁₉⋊C₃	—	3	3	no	—
153	C₉×C₁₉⋊C₃	—	3	3	no	—
154	C₉×C₁₉⋊C₃	—	3	6	no	—
155	C₉×C₁₉⋊C₃	3₋¹⁺²	1	9	yes	complemented
156	C₃×#737	—	19	1	no	—
157	#6900	—	19	1	no	—
158	#6900	—	19	1	no	—
159	#6900	—	19	1	no	—
160	#6899	—	19	2	no	—
161	#6899	—	19	2	no	—
162	#6899	—	19	2	no	—
163	#6896	—	19	2	no	—
164	#6896	—	19	2	no	—
165	#6896	—	19	2	no	—
166	#6896	—	19	1	no	—
167	#6896	—	19	1	no	—
168	#6896	C₁₉⋊C₃	1	1	yes	characteristic, complemented
169	#6894	—	19	1	no	—
170	#6894	—	19	1	no	—
171	#6894	—	19	2	no	—
172	#6894	—	19	2	no	—
173	C₉⋊H(3,𝔽₃)	—	19	1	no	—
174	C₉⋊H(3,𝔽₃)	—	19	2	no	—
175	C₉×3₋¹⁺²	—	19	1	no	—
176	C₉×3₋¹⁺²	—	19	1	no	—
177	C₉×3₋¹⁺²	—	19	2	no	—
178	C₉×3₋¹⁺²	—	19	1	no	—
179	C₉×3₋¹⁺²	—	19	2	no	—
180	C₉×3₋¹⁺²	—	19	2	no	—
181	#6887	—	19	2	no	—
182	C₃×C₉²	—	19	1	no	—
183	C₃²×C₁₉	—	3	1	no	—
184	C₃²×C₁₉	—	3	2	no	—
185	C₃²×C₁₉	—	3	1	no	—
186	C₃²×C₁₉	C₃⁴	1	1	yes	characteristic
187	C₃×C₁₉⋊C₃	—	3	2	no	—
188	C₃×C₁₉⋊C₃	—	3	1	no	—
189	C₃×C₁₉⋊C₃	—	3	1	no	—
190	C₃×C₁₉⋊C₃	—	3	1	no	—
191	C₃×C₁₉⋊C₃	—	3	2	no	—
192	C₃×C₁₉⋊C₃	—	3	1	no	—
193	C₃×C₁₉⋊C₃	—	3	2	no	—
194	C₃×C₁₉⋊C₃	—	3	1	no	—
195	C₃×C₁₉⋊C₃	C₃×3₋¹⁺²	1	3	yes	—
196	C₉×C₁₉	—	3	1	no	—
197	C₉×C₁₉	—	3	1	no	—
198	C₉×C₁₉	—	3	2	no	—
199	C₉×C₁₉	—	3	2	no	—
200	C₉×C₁₉	—	3	2	no	—
201	C₉×C₁₉	—	3	2	no	—
202	C₉×C₁₉	C₃×3₋¹⁺²	1	3	yes	—
203	C₉×C₁₉	#737	1	3	yes	complemented
204	#4294	—	3	1	no	—
205	#4294	—	3	1	no	—
206	#4294	—	3	1	no	—
207	#4294	—	3	1	no	—
208	#4294	—	3	2	no	—
209	#4294	—	3	2	no	—
210	#4294	—	3	2	no	—
211	#4294	—	3	2	no	—
212	#4294	—	3	2	no	—
213	#4294	—	3	2	no	—
214	#4294	—	3	2	no	—
215	#4294	—	3	2	no	—
216	#4294	C₃×3₋¹⁺²	1	3	yes	—
217	#4294	C₃×3₋¹⁺²	1	3	yes	—
218	#4294	#737	1	6	yes	complemented
219	#737	—	57	9	no	—
220	C₃×3₋¹⁺²	—	19	1	no	—
221	C₃×3₋¹⁺²	—	19	2	no	—
222	C₃×3₋¹⁺²	—	19	1	no	—
223	C₃×3₋¹⁺²	—	19	1	no	—
224	C₃×3₋¹⁺²	—	19	1	no	—
225	C₃×3₋¹⁺²	—	19	1	no	—
226	C₃×3₋¹⁺²	—	19	1	no	—
227	C₃×3₋¹⁺²	—	19	1	no	—
228	C₃×3₋¹⁺²	—	19	2	no	—
229	C₃×3₋¹⁺²	—	19	1	no	—
230	C₃×3₋¹⁺²	—	19	2	no	—
231	C₃×3₋¹⁺²	—	19	1	no	—
232	C₃×3₋¹⁺²	C₃×C₁₉⋊C₃	1	1	yes	characteristic
233	C₃×3₋¹⁺²	C₃×C₁₉⋊C₃	1	1	yes	characteristic
234	C₃×H(3,𝔽₃)	—	19	1	no	—
235	C₃²×C₉	—	19	1	no	—
236	C₃²×C₉	—	19	1	no	—
237	C₃²×C₉	—	19	1	no	—
238	C₃²×C₉	—	19	1	no	—
239	C₃²×C₉	—	19	2	no	—
240	C₃²×C₉	—	19	1	no	—
241	C₉⋊C₉	—	19	2	no	—
242	C₉⋊C₉	—	19	2	no	—
243	C₉⋊C₉	—	19	2	no	—
244	C₉⋊C₉	—	19	2	no	—
245	C₉⋊C₉	—	19	2	no	—
246	C₉⋊C₉	—	19	2	no	—
247	C₉⋊C₉	—	19	2	no	—
248	C₉⋊C₉	—	19	2	no	—
249	C₉⋊C₉	—	19	2	no	—
250	C₉⋊C₉	—	19	2	no	—
251	C₉⋊C₉	—	19	2	no	—
252	C₉⋊C₉	—	19	2	no	—
253	C₉⋊C₉	—	19	2	no	—
254	C₉⋊C₉	—	19	2	no	—
255	C₉⋊C₉	—	19	2	no	—
256	C₉⋊C₉	—	19	2	no	—
257	C₉⋊C₉	—	19	2	no	—
258	C₉⋊C₉	—	19	2	no	—
259	C₉⋊C₉	—	19	2	no	—
260	C₉⋊C₉	—	19	2	no	—
261	C₉⋊C₉	—	19	2	no	—
262	C₉⋊C₉	—	19	2	no	—
263	C₉⋊C₉	—	19	2	no	—
264	C₉⋊C₉	—	19	2	no	—
265	C₉⋊C₉	—	19	1	no	—
266	C₉⋊C₉	—	19	1	no	—
267	C₉⋊C₉	—	19	2	no	—
268	C₉⋊C₉	—	19	2	no	—
269	C₉⋊C₉	—	19	2	no	—
270	C₉⋊C₉	—	19	1	no	—
271	C₉⋊C₉	—	19	1	no	—
272	C₉⋊C₉	C₃×C₁₉⋊C₃	1	2	yes	—
273	C₉⋊C₉	C₃×C₁₉⋊C₃	1	2	yes	—
274	C₉⋊C₉	C₃×C₁₉⋊C₃	1	2	yes	—
275	C₉⋊C₉	C₃×C₁₉⋊C₃	1	1	yes	characteristic
276	C₉⋊C₉	C₃×C₁₉⋊C₃	1	1	yes	characteristic
277	C₃²⋊C₉	—	19	2	no	—
278	C₃²⋊C₉	—	19	2	no	—
279	C₃²⋊C₉	—	19	2	no	—
280	C₃²⋊C₉	—	19	2	no	—
281	C₃²⋊C₉	—	19	2	no	—
282	C₃²⋊C₉	—	19	2	no	—
283	C₃²⋊C₉	—	19	2	no	—
284	C₃²⋊C₉	—	19	2	no	—
285	C₃²⋊C₉	—	19	2	no	—
286	C₃²⋊C₉	—	19	2	no	—
287	C₃²⋊C₉	—	19	2	no	—
288	C₃²⋊C₉	C₃×C₁₉⋊C₃	1	2	yes	—
289	C₉²	—	19	2	no	—
290	C₉²	—	19	1	no	—
291	C₉²	—	19	2	no	—
292	C₉²	—	19	2	no	—
293	C₉²	—	19	1	no	—
294	C₉²	—	19	2	no	—
295	C₉²	—	19	2	no	—
296	C₉²	—	19	2	no	—
297	C₉²	C₃×C₁₉⋊C₃	1	1	yes	characteristic
298	C₃×C₁₉	—	9	1	no	—
299	C₃×C₁₉	C₃²×3₋¹⁺²	1	1	yes	characteristic
300	C₃×C₁₉	C₃×#737	1	2	yes	—
301	C₃×C₁₉	C₃×#737	1	1	yes	characteristic
302	C₁₉⋊C₃	—	3	3	no	—
303	C₁₉⋊C₃	—	9	1	no	—
304	C₁₉⋊C₃	—	9	1	no	—
305	C₃³	—	19	1	no	—
306	C₃³	—	19	1	no	—
307	C₃³	—	19	1	no	—
308	C₃³	C₃²×C₁₉⋊C₃	1	1	yes	characteristic
309	3₋¹⁺²	—	3	3	no	—
310	3₋¹⁺²	—	3	3	no	—
311	3₋¹⁺²	—	57	6	no	—
312	3₋¹⁺²	—	57	3	no	—
313	3₋¹⁺²	—	57	6	no	—
314	3₋¹⁺²	—	57	3	no	—
315	3₋¹⁺²	—	57	3	no	—
316	3₋¹⁺²	—	57	3	no	—
317	3₋¹⁺²	—	57	6	no	—
318	3₋¹⁺²	—	57	3	no	—
319	3₋¹⁺²	—	57	3	no	—
320	3₋¹⁺²	—	57	3	no	—
321	3₋¹⁺²	—	57	3	no	—
322	3₋¹⁺²	—	57	3	no	—
323	H(3,𝔽₃)	—	57	3	no	—
324	C₃×C₉	—	19	1	no	—
325	C₃×C₉	—	19	1	no	—
326	C₃×C₉	—	19	2	no	—
327	C₃×C₉	—	19	9	no	—
328	C₃×C₉	—	19	2	no	—
329	C₃×C₉	—	19	2	no	—
330	C₃×C₉	—	19	2	no	—
331	C₃×C₉	—	19	2	no	—
332	C₃×C₉	—	19	2	no	—
333	C₃×C₉	—	19	2	no	—
334	C₃×C₉	—	19	2	no	—
335	C₃×C₉	—	19	2	no	—
336	C₃×C₉	—	19	1	no	—
337	C₃×C₉	—	19	1	no	—
338	C₃×C₉	—	19	1	no	—
339	C₃×C₉	—	19	1	no	—
340	C₃×C₉	—	57	6	no	—
341	C₃×C₉	—	57	3	no	—
342	C₃×C₉	—	57	3	no	—
343	C₃×C₉	—	57	3	no	—
344	C₃×C₉	—	57	3	no	—
345	C₃×C₉	C₃²×C₁₉⋊C₃	1	2	yes	—
346	C₃×C₉	C₃²×C₁₉⋊C₃	1	2	yes	—
347	C₃×C₉	C₃²×C₁₉⋊C₃	1	2	yes	—
348	C₃×C₉	C₃²×C₁₉⋊C₃	1	2	yes	—
349	C₃×C₉	C₃²×C₁₉⋊C₃	1	1	yes	characteristic
350	C₃×C₉	C₃²×C₁₉⋊C₃	1	1	yes	characteristic
351	C₃×C₉	C₃²×C₁₉⋊C₃	1	1	yes	characteristic
352	C₃×C₉	C₃²×C₁₉⋊C₃	1	1	yes	characteristic
353	C₁₉	#10624879	1	1	yes	characteristic, complemented, Sylow
354	C₃²	—	3	1	no	—
355	C₃²	—	3	2	no	—
356	C₃²	—	3	1	no	—
357	C₃²	—	19	3	no	—
358	C₃²	—	57	2	no	—
359	C₃²	—	57	1	no	—
360	C₃²	—	57	1	no	—
361	C₃²	—	57	1	no	—
362	C₃²	—	57	2	no	—
363	C₃²	—	57	2	no	—
364	C₃²	—	57	1	no	—
365	C₃²	—	57	1	no	—
366	C₃²	C₃³×C₁₉⋊C₃	1	1	yes	characteristic
367	C₉	—	3	1	no	—
368	C₉	—	3	1	no	—
369	C₉	—	3	2	no	—
370	C₉	—	3	2	no	—
371	C₉	—	3	2	no	—
372	C₉	—	3	2	no	—
373	C₉	—	19	3	no	—
374	C₉	—	19	3	no	—
375	C₉	—	19	6	no	—
376	C₉	—	57	1	no	—
377	C₉	—	57	1	no	—
378	C₉	—	57	1	no	—
379	C₉	—	57	1	no	—
380	C₉	—	57	2	no	—
381	C₉	—	57	2	no	—
382	C₉	—	57	2	no	—
383	C₉	—	57	2	no	—
384	C₉	—	57	2	no	—
385	C₉	—	57	2	no	—
386	C₉	—	57	2	no	—
387	C₉	—	57	2	no	—
388	C₉	3₋¹⁺²×C₁₉⋊C₃	1	3	yes	—
389	C₉	#13095333	1	3	yes	complemented
390	C₃	—	9	1	no	—
391	C₃	—	57	3	no	—
392	C₃	—	171	1	no	—
393	C₃	—	171	1	no	—
394	C₃	C₃×3₋¹⁺²×C₁₉⋊C₃	1	1	yes	characteristic
395	C₃	C₁₉⋊C₃×#737	1	2	yes	—
396	C₃	C₃×#13095333	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₃²	C₃³×C₁₉⋊C₃
commutator, socle, cosocle	C₃²×C₁₉	C₃⁴
Fitting	C₁₉×#6896	C₃
prime radical	C₃×C₃²⋊(C₁₉⋊C₃)	C₃²
hypercenter	#6896	C₁₉⋊C₃
hypocenter	C₁₉	#10624879
LCS	G ▷ C₃²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₃² ◁ #6896

Complements

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

N	H ≅ G/N	type
2. #17987472	C₃	semidirect
3. #17987471	C₃	semidirect
4. #17987468	C₃	semidirect
5. #17987465	C₃	semidirect
6. #17987464	C₃	semidirect
7. #17987460	C₃	semidirect
8. #17987451	C₃	semidirect
9. #17987450	C₃	semidirect
10. #17987448	C₃	semidirect
11. #17987448	C₃	semidirect
12. #17987447	C₃	semidirect
13. #17987437	C₃	semidirect
14. #17987436	C₃	semidirect
15. #17987434	C₃	semidirect
16. #17987433	C₃	semidirect
19. #17987415	C₃	semidirect
20. 3₋¹⁺²×#4294	C₃	semidirect
21. #17987410	C₃	semidirect
22. #17987410	C₃	semidirect
23. #17987409	C₃	semidirect
24. #17987409	C₃	semidirect
25. #17987404	C₃	semidirect
26. C₉²×C₁₉⋊C₃	C₃	semidirect
27. C₁₉×#6896	C₃	semidirect
155. C₉×C₁₉⋊C₃	3₋¹⁺²	semidirect
168. #6896	C₁₉⋊C₃	semidirect
203. C₉×C₁₉	#737	semidirect
218. #4294	#737	semidirect
353. C₁₉	#10624879	semidirect
389. C₉	#13095333	semidirect

Maximal subgroups

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

subgroup	index
C₃×#13095333	3
#17987472	3
#17987471	3
#17987468	3
#17987465	3
#17987464	3
#17987460	3
#17987451	3
#17987450	3
#17987448	3
#17987447	3
#17987437	3
#17987436	3
#17987434	3
#17987433	3
#17987424	3
#17987422	3
#17987415	3
3₋¹⁺²×#4294	3
#17987410	3
#17987409	3
#17987404	3
C₉²×C₁₉⋊C₃	3
C₁₉×#6896	3
#10624879	19