Subgroups — #28356075

Order 13851.

716 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×3₋¹⁺²×C₁₉⋊C₃	C₃	1	1	yes	maximal, characteristic
2	#17987451	C₃	1	2	yes	maximal, complemented
3	#17987451	C₃	1	2	yes	maximal, complemented
4	#17987450	C₃	1	2	yes	maximal, complemented
5	#17987450	C₃	1	2	yes	maximal, complemented
6	#17987449	C₃	1	2	yes	maximal, complemented
7	#17987449	C₃	1	2	yes	maximal, complemented
8	#17987449	C₃	1	2	yes	maximal, complemented
9	#17987449	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	#17987447	C₃	1	2	yes	maximal, complemented
14	#17987446	C₃	1	2	yes	maximal, complemented
15	#17987446	C₃	1	2	yes	maximal, complemented
16	#17987444	C₃	1	2	yes	maximal, complemented
17	#17987444	C₃	1	2	yes	maximal, complemented
18	#17987444	C₃	1	2	yes	maximal, complemented
19	#17987420	C₃	1	1	yes	maximal, characteristic
20	#17987419	C₃	1	1	yes	maximal, characteristic
21	#17987418	C₃	1	1	yes	maximal, characteristic
22	#17987404	C₃	1	2	yes	maximal, complemented
23	#17987403	C₃	1	1	yes	maximal, characteristic, complemented
24	C₁₉×#6896	C₃	1	1	yes	maximal, characteristic, complemented
25	C₃³×C₁₉⋊C₃	C₃²	1	1	yes	characteristic
26	C₃×#10587025	C₃²	1	2	yes	—
27	C₃×#10587025	C₃²	1	2	yes	—
28	C₃×#10587022	C₃²	1	1	yes	characteristic
29	C₃×#10587022	C₃²	1	2	yes	—
30	C₃×#10587022	C₃²	1	1	yes	characteristic
31	C₃×#10587022	C₃²	1	2	yes	—
32	C₃×#10587023	C₃²	1	1	yes	characteristic
33	C₃×#10587023	C₃²	1	2	yes	—
34	C₃×#10587023	C₃²	1	1	yes	characteristic
35	C₃×#10587023	C₃²	1	2	yes	—
36	3₋¹⁺²×C₁₉⋊C₃	—	3	9	no	—
37	C₃×C₉×C₁₉⋊C₃	C₃²	1	2	yes	—
38	C₃×C₉×C₁₉⋊C₃	C₃²	1	1	yes	characteristic
39	#13095307	C₃²	1	2	yes	complemented
40	#13095307	C₃²	1	2	yes	complemented
41	#13095307	C₃²	1	2	yes	complemented
42	#13095307	C₃²	1	2	yes	complemented
43	#13095306	C₃²	1	2	yes	complemented
44	#13095306	C₃²	1	2	yes	complemented
45	#13095306	C₃²	1	2	yes	complemented
46	#13095306	C₃²	1	2	yes	complemented
47	#13095305	C₃²	1	2	yes	complemented
48	#13095305	C₃²	1	2	yes	complemented
49	#13095305	C₃²	1	2	yes	complemented
50	#13095305	C₃²	1	2	yes	complemented
51	#13095305	C₃²	1	2	yes	complemented
52	#13095305	C₃²	1	2	yes	complemented
53	#13095305	C₃²	1	2	yes	complemented
54	#13095305	C₃²	1	2	yes	complemented
55	#13095305	C₃²	1	2	yes	complemented
56	#13095305	C₃²	1	2	yes	complemented
57	#13095305	C₃²	1	2	yes	complemented
58	#13095305	C₃²	1	2	yes	complemented
59	#13095305	C₃²	1	2	yes	complemented
60	#13095305	C₃²	1	2	yes	complemented
61	#13095305	C₃²	1	2	yes	complemented
62	#13095305	C₃²	1	2	yes	complemented
63	#13095305	C₃²	1	2	yes	complemented
64	#13095305	C₃²	1	2	yes	complemented
65	#13095305	C₃²	1	2	yes	complemented
66	#13095305	C₃²	1	2	yes	complemented
67	#13095305	C₃²	1	2	yes	complemented
68	#13095305	C₃²	1	2	yes	complemented
69	#13095305	C₃²	1	2	yes	complemented
70	#13095305	C₃²	1	2	yes	complemented
71	C₃²⋊#4294	C₃²	1	2	yes	—
72	C₃²⋊#4294	C₃²	1	2	yes	—
73	#13095303	C₃²	1	1	yes	characteristic
74	#13095303	C₃²	1	1	yes	characteristic
75	#13095303	C₃²	1	1	yes	characteristic
76	#13095303	C₃²	1	2	yes	—
77	#13095303	C₃²	1	2	yes	—
78	#13095303	C₃²	1	2	yes	—
79	#13095303	C₃²	1	1	yes	characteristic
80	#13095303	C₃²	1	1	yes	characteristic
81	#13095303	C₃²	1	2	yes	—
82	#13095303	C₃²	1	2	yes	—
83	#13095303	C₃²	1	1	yes	characteristic
84	#13095303	C₃²	1	2	yes	—
85	#13095303	C₃²	1	1	yes	characteristic
86	#13095303	C₃²	1	2	yes	—
87	C₉×#4294	C₃²	1	2	yes	complemented
88	C₉×#4294	C₃²	1	2	yes	complemented
89	C₉×#4294	C₃²	1	2	yes	complemented
90	C₉×#4294	C₃²	1	2	yes	complemented
91	C₃×C₁₉×3₋¹⁺²	C₃²	1	1	yes	characteristic
92	C₃×C₁₉×3₋¹⁺²	C₃²	1	1	yes	characteristic
93	C₁₉×C₉⋊C₉	C₃²	1	2	yes	complemented
94	C₁₉×C₉⋊C₉	C₃²	1	2	yes	complemented
95	C₁₉×C₉⋊C₉	C₃²	1	2	yes	complemented
96	C₁₉×C₉⋊C₉	C₃²	1	2	yes	complemented
97	C₁₉×C₃²⋊C₉	C₃²	1	1	yes	characteristic
98	C₁₉×C₃²⋊C₉	C₃²	1	1	yes	characteristic
99	C₉²×C₁₉	C₃²	1	1	yes	characteristic, complemented
100	#10624885	—	19	1	no	maximal, Sylow
101	C₃³×C₁₉	C₃³	1	1	yes	characteristic
102	C₃²×C₁₉⋊C₃	—	3	3	no	—
103	C₃²×C₁₉⋊C₃	—	9	1	no	—
104	C₃²×C₁₉⋊C₃	—	9	1	no	—
105	C₃²×C₁₉⋊C₃	—	9	1	no	—
106	C₃²×C₁₉⋊C₃	C₃³	1	1	yes	characteristic
107	C₃²×C₁₉⋊C₃	C₃³	1	1	yes	characteristic
108	C₃²×C₁₉⋊C₃	C₃³	1	1	yes	characteristic
109	C₁₉×3₋¹⁺²	—	3	3	no	—
110	C₁₉×3₋¹⁺²	—	9	1	no	—
111	C₃×C₉×C₁₉	C₃³	1	1	yes	characteristic
112	C₃×C₉×C₁₉	C₃³	1	1	yes	characteristic
113	C₃×C₉×C₁₉	C₃³	1	1	yes	characteristic
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	#10587025	—	3	6	no	—
120	#10587025	—	9	2	no	—
121	C₃×#4294	C₃³	1	2	yes	—
122	C₃×#4294	C₃³	1	2	yes	—
123	C₃×#4294	C₃³	1	2	yes	—
124	C₃×#4294	C₃³	1	2	yes	—
125	C₃×#4294	C₃³	1	2	yes	—
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	#10587023	—	3	3	no	—
134	#10587023	—	3	6	no	—
135	#10587023	—	9	1	no	—
136	#10587023	—	9	2	no	—
137	#10587022	—	3	3	no	—
138	#10587022	—	3	6	no	—
139	#10587022	—	9	1	no	—
140	#10587022	—	9	2	no	—
141	C₉×C₁₉⋊C₃	—	3	6	no	—
142	C₉×C₁₉⋊C₃	3₋¹⁺²	1	9	yes	complemented
143	C₃²×3₋¹⁺²	—	19	1	no	—
144	#6896	—	19	2	no	—
145	#6896	—	19	2	no	—
146	#6896	—	19	2	no	—
147	#6896	—	19	2	no	—
148	#6896	—	19	2	no	—
149	#6896	—	19	2	no	—
150	#6896	—	19	2	no	—
151	#6896	—	19	2	no	—
152	#6896	—	19	2	no	—
153	#6896	—	19	2	no	—
154	#6896	—	19	2	no	—
155	#6896	—	19	2	no	—
156	#6896	—	19	1	no	—
157	#6896	—	19	1	no	—
158	#6896	C₁₉⋊C₃	1	1	yes	characteristic, complemented
159	#6895	—	19	2	no	—
160	#6895	—	19	2	no	—
161	#6895	—	19	2	no	—
162	#6891	—	19	1	no	—
163	#6891	—	19	1	no	—
164	#6891	—	19	1	no	—
165	#6887	—	19	2	no	—
166	#6887	—	19	1	no	—
167	C₃²×C₁₉	—	3	1	no	—
168	C₃²×C₁₉	—	3	1	no	—
169	C₃²×C₁₉	—	3	1	no	—
170	C₃²×C₁₉	—	3	1	no	—
171	C₃²×C₁₉	C₃⁴	1	1	yes	characteristic
172	C₃×C₁₉⋊C₃	—	3	1	no	—
173	C₃×C₁₉⋊C₃	—	3	1	no	—
174	C₃×C₁₉⋊C₃	—	3	1	no	—
175	C₃×C₁₉⋊C₃	—	3	1	no	—
176	C₃×C₁₉⋊C₃	—	3	1	no	—
177	C₃×C₁₉⋊C₃	—	3	1	no	—
178	C₃×C₁₉⋊C₃	—	3	1	no	—
179	C₃×C₁₉⋊C₃	—	3	1	no	—
180	C₃×C₁₉⋊C₃	—	3	1	no	—
181	C₃×C₁₉⋊C₃	—	3	1	no	—
182	C₃×C₁₉⋊C₃	—	3	1	no	—
183	C₃×C₁₉⋊C₃	—	9	9	no	—
184	C₃×C₁₉⋊C₃	C₃×3₋¹⁺²	1	3	yes	—
185	C₉×C₁₉	—	3	2	no	—
186	C₉×C₁₉	—	3	1	no	—
187	C₉×C₁₉	—	3	2	no	—
188	C₉×C₁₉	—	3	1	no	—
189	C₉×C₁₉	—	3	2	no	—
190	C₉×C₁₉	—	3	1	no	—
191	C₉×C₁₉	—	3	2	no	—
192	C₉×C₁₉	C₃×3₋¹⁺²	1	3	yes	—
193	#4294	—	3	2	no	—
194	#4294	—	3	2	no	—
195	#4294	—	3	2	no	—
196	#4294	—	3	2	no	—
197	#4294	—	3	2	no	—
198	#4294	—	3	2	no	—
199	#4294	—	3	2	no	—
200	#4294	—	3	2	no	—
201	#4294	—	3	2	no	—
202	#4294	—	3	2	no	—
203	#4294	—	3	2	no	—
204	#4294	C₃×3₋¹⁺²	1	6	yes	—
205	C₃⁴	—	19	1	no	—
206	C₃×3₋¹⁺²	—	19	2	no	—
207	C₃×3₋¹⁺²	—	19	2	no	—
208	C₃×3₋¹⁺²	—	19	2	no	—
209	C₃×3₋¹⁺²	—	19	1	no	—
210	C₃×3₋¹⁺²	—	19	2	no	—
211	C₃×3₋¹⁺²	—	19	1	no	—
212	C₃×3₋¹⁺²	—	19	2	no	—
213	C₃×3₋¹⁺²	—	19	1	no	—
214	C₃×3₋¹⁺²	—	19	2	no	—
215	C₃×3₋¹⁺²	—	19	1	no	—
216	C₃×3₋¹⁺²	—	57	9	no	—
217	C₃×3₋¹⁺²	C₃×C₁₉⋊C₃	1	1	yes	characteristic
218	C₃×3₋¹⁺²	C₃×C₁₉⋊C₃	1	1	yes	characteristic
219	C₃²×C₉	—	19	1	no	—
220	C₃²×C₉	—	19	2	no	—
221	C₉⋊C₉	—	19	2	no	—
222	C₉⋊C₉	—	19	2	no	—
223	C₉⋊C₉	—	19	2	no	—
224	C₉⋊C₉	—	19	2	no	—
225	C₉⋊C₉	—	19	2	no	—
226	C₉⋊C₉	—	19	2	no	—
227	C₉⋊C₉	—	19	2	no	—
228	C₉⋊C₉	—	19	2	no	—
229	C₉⋊C₉	—	19	2	no	—
230	C₉⋊C₉	—	19	2	no	—
231	C₉⋊C₉	—	19	2	no	—
232	C₉⋊C₉	—	19	2	no	—
233	C₉⋊C₉	—	19	2	no	—
234	C₉⋊C₉	—	19	2	no	—
235	C₉⋊C₉	—	19	2	no	—
236	C₉⋊C₉	—	19	2	no	—
237	C₉⋊C₉	—	19	2	no	—
238	C₉⋊C₉	—	19	2	no	—
239	C₉⋊C₉	—	19	2	no	—
240	C₉⋊C₉	—	19	2	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	C₃×C₁₉⋊C₃	1	2	yes	complemented
254	C₉⋊C₉	C₃×C₁₉⋊C₃	1	2	yes	complemented
255	C₉⋊C₉	C₃×C₁₉⋊C₃	1	2	yes	complemented
256	C₉⋊C₉	C₃×C₁₉⋊C₃	1	2	yes	complemented
257	C₃²⋊C₉	—	19	2	no	—
258	C₃²⋊C₉	—	19	2	no	—
259	C₃²⋊C₉	—	19	2	no	—
260	C₃²⋊C₉	—	19	2	no	—
261	C₃²⋊C₉	—	19	2	no	—
262	C₃²⋊C₉	—	19	1	no	—
263	C₃²⋊C₉	—	19	1	no	—
264	C₃²⋊C₉	—	19	1	no	—
265	C₃²⋊C₉	—	19	2	no	—
266	C₃²⋊C₉	—	19	2	no	—
267	C₃²⋊C₉	—	19	2	no	—
268	C₃²⋊C₉	—	19	2	no	—
269	C₃²⋊C₉	—	19	1	no	—
270	C₃²⋊C₉	—	19	1	no	—
271	C₃²⋊C₉	—	19	1	no	—
272	C₃²⋊C₉	—	19	1	no	—
273	C₃²⋊C₉	C₃×C₁₉⋊C₃	1	1	yes	characteristic
274	C₃²⋊C₉	C₃×C₁₉⋊C₃	1	1	yes	characteristic
275	C₉²	—	19	2	no	—
276	C₉²	—	19	2	no	—
277	C₉²	—	19	2	no	—
278	C₉²	—	19	2	no	—
279	C₉²	C₃×C₁₉⋊C₃	1	1	yes	characteristic, complemented
280	C₃×C₁₉	—	9	1	no	—
281	C₃×C₁₉	C₃²×3₋¹⁺²	1	1	yes	characteristic
282	C₃×C₁₉	3₋¹⁺⁴	1	1	yes	characteristic
283	C₃×C₁₉	3₋¹⁺⁴	1	1	yes	characteristic
284	C₃×C₁₉	3₋¹⁺⁴	1	1	yes	characteristic
285	C₁₉⋊C₃	—	3	3	no	—
286	C₁₉⋊C₃	—	9	1	no	—
287	C₁₉⋊C₃	—	9	1	no	—
288	C₃³	—	19	1	no	—
289	C₃³	—	19	1	no	—
290	C₃³	—	19	1	no	—
291	C₃³	—	57	3	no	—
292	C₃³	—	171	1	no	—
293	C₃³	—	171	1	no	—
294	C₃³	—	171	1	no	—
295	C₃³	C₃²×C₁₉⋊C₃	1	1	yes	characteristic
296	3₋¹⁺²	—	3	3	no	—
297	3₋¹⁺²	—	9	1	no	—
298	3₋¹⁺²	—	57	6	no	—
299	3₋¹⁺²	—	57	6	no	—
300	3₋¹⁺²	—	57	6	no	—
301	3₋¹⁺²	—	57	3	no	—
302	3₋¹⁺²	—	57	3	no	—
303	3₋¹⁺²	—	171	2	no	—
304	3₋¹⁺²	—	171	1	no	—
305	3₋¹⁺²	—	171	2	no	—
306	3₋¹⁺²	—	171	1	no	—
307	3₋¹⁺²	—	171	2	no	—
308	C₃×C₉	—	19	2	no	—
309	C₃×C₉	—	19	9	no	—
310	C₃×C₉	—	19	2	no	—
311	C₃×C₉	—	19	2	no	—
312	C₃×C₉	—	19	2	no	—
313	C₃×C₉	—	19	2	no	—
314	C₃×C₉	—	19	2	no	—
315	C₃×C₉	—	19	2	no	—
316	C₃×C₉	—	19	2	no	—
317	C₃×C₉	—	19	2	no	—
318	C₃×C₉	—	19	2	no	—
319	C₃×C₉	—	19	2	no	—
320	C₃×C₉	—	19	2	no	—
321	C₃×C₉	—	57	6	no	—
322	C₃×C₉	C₃²×C₁₉⋊C₃	1	2	yes	—
323	C₃×C₉	C₃²×C₁₉⋊C₃	1	2	yes	—
324	C₃×C₉	C₃²×C₁₉⋊C₃	1	2	yes	—
325	C₃×C₉	C₃²×C₁₉⋊C₃	1	1	yes	characteristic
326	C₃×C₉	C₃²×C₁₉⋊C₃	1	1	yes	characteristic
327	C₃×C₉	C₃²×C₁₉⋊C₃	1	1	yes	characteristic
328	C₃×C₉	C₃²×C₁₉⋊C₃	1	2	yes	—
329	C₃×C₉	C₃²×C₁₉⋊C₃	1	1	yes	characteristic
330	C₁₉	#10624885	1	1	yes	characteristic, complemented, Sylow
331	C₃²	—	3	1	no	—
332	C₃²	—	3	1	no	—
333	C₃²	—	3	1	no	—
334	C₃²	—	3	1	no	—
335	C₃²	—	19	3	no	—
336	C₃²	—	57	1	no	—
337	C₃²	—	57	1	no	—
338	C₃²	—	57	1	no	—
339	C₃²	—	57	1	no	—
340	C₃²	—	57	1	no	—
341	C₃²	—	57	1	no	—
342	C₃²	—	57	1	no	—
343	C₃²	—	57	1	no	—
344	C₃²	—	57	1	no	—
345	C₃²	—	57	1	no	—
346	C₃²	—	57	1	no	—
347	C₃²	—	171	9	no	—
348	C₃²	C₃³×C₁₉⋊C₃	1	1	yes	characteristic
349	C₉	—	3	2	no	—
350	C₉	—	3	2	no	—
351	C₉	—	3	1	no	—
352	C₉	—	3	2	no	—
353	C₉	—	3	1	no	—
354	C₉	—	3	2	no	—
355	C₉	—	3	1	no	—
356	C₉	—	19	6	no	—
357	C₉	—	57	2	no	—
358	C₉	—	57	2	no	—
359	C₉	—	57	2	no	—
360	C₉	—	57	2	no	—
361	C₉	—	57	2	no	—
362	C₉	—	57	2	no	—
363	C₉	—	57	2	no	—
364	C₉	—	57	2	no	—
365	C₉	—	57	2	no	—
366	C₉	—	57	2	no	—
367	C₉	—	57	2	no	—
368	C₉	3₋¹⁺²×C₁₉⋊C₃	1	3	yes	—
369	C₃	—	9	1	no	—
370	C₃	—	57	3	no	—
371	C₃	—	171	1	no	—
372	C₃	—	171	1	no	—
373	C₃	C₃×3₋¹⁺²×C₁₉⋊C₃	1	1	yes	characteristic
374	C₃	#17987544	1	1	yes	characteristic
375	C₃	#17987545	1	1	yes	characteristic
376	C₃	#17987546	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	C₃³×C₁₉⋊C₃	C₃²
hypercenter	#6896	C₁₉⋊C₃
hypocenter	C₁₉	#10624885
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. #17987451	C₃	semidirect
3. #17987451	C₃	semidirect
4. #17987450	C₃	semidirect
5. #17987450	C₃	semidirect
6. #17987449	C₃	semidirect
7. #17987449	C₃	semidirect
8. #17987449	C₃	semidirect
9. #17987449	C₃	semidirect
10. #17987448	C₃	semidirect
11. #17987448	C₃	semidirect
12. #17987447	C₃	semidirect
13. #17987447	C₃	semidirect
14. #17987446	C₃	semidirect
15. #17987446	C₃	semidirect
16. #17987444	C₃	semidirect
17. #17987444	C₃	semidirect
18. #17987444	C₃	semidirect
22. #17987404	C₃	semidirect
23. #17987403	C₃	semidirect
24. C₁₉×#6896	C₃	semidirect
39. #13095307	C₃²	semidirect
40. #13095307	C₃²	semidirect
41. #13095307	C₃²	semidirect
42. #13095307	C₃²	semidirect
43. #13095306	C₃²	semidirect
44. #13095306	C₃²	semidirect
45. #13095306	C₃²	semidirect
46. #13095306	C₃²	semidirect
47. #13095305	C₃²	semidirect
48. #13095305	C₃²	semidirect
49. #13095305	C₃²	semidirect
50. #13095305	C₃²	semidirect
51. #13095305	C₃²	semidirect
52. #13095305	C₃²	semidirect
53. #13095305	C₃²	semidirect
54. #13095305	C₃²	semidirect
55. #13095305	C₃²	semidirect
56. #13095305	C₃²	semidirect
57. #13095305	C₃²	semidirect
58. #13095305	C₃²	semidirect
59. #13095305	C₃²	semidirect
60. #13095305	C₃²	semidirect
61. #13095305	C₃²	semidirect
62. #13095305	C₃²	semidirect
63. #13095305	C₃²	semidirect
64. #13095305	C₃²	semidirect
65. #13095305	C₃²	semidirect
66. #13095305	C₃²	semidirect
67. #13095305	C₃²	semidirect
68. #13095305	C₃²	semidirect
69. #13095305	C₃²	semidirect
70. #13095305	C₃²	semidirect
87. C₉×#4294	C₃²	semidirect
88. C₉×#4294	C₃²	semidirect
89. C₉×#4294	C₃²	semidirect
90. C₉×#4294	C₃²	semidirect
93. C₁₉×C₉⋊C₉	C₃²	semidirect
94. C₁₉×C₉⋊C₉	C₃²	semidirect
95. C₁₉×C₉⋊C₉	C₃²	semidirect
96. C₁₉×C₉⋊C₉	C₃²	semidirect
99. C₉²×C₁₉	C₃²	semidirect
142. C₉×C₁₉⋊C₃	3₋¹⁺²	semidirect
158. #6896	C₁₉⋊C₃	semidirect
253. C₉⋊C₉	C₃×C₁₉⋊C₃	semidirect
254. C₉⋊C₉	C₃×C₁₉⋊C₃	semidirect
255. C₉⋊C₉	C₃×C₁₉⋊C₃	semidirect
256. C₉⋊C₉	C₃×C₁₉⋊C₃	semidirect
279. C₉²	C₃×C₁₉⋊C₃	semidirect
330. C₁₉	#10624885	semidirect

Maximal subgroups

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

subgroup	index
C₃×3₋¹⁺²×C₁₉⋊C₃	3
#17987451	3
#17987450	3
#17987449	3
#17987448	3
#17987447	3
#17987446	3
#17987444	3
#17987420	3
#17987419	3
#17987418	3
#17987404	3
#17987403	3
C₁₉×#6896	3
#10624885	19