Subgroups — #18075716

Order 4864.

432 conjugacy classes of subgroups.

The subgroup lattice has 400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14572602	C₂	1	1	yes	maximal, characteristic
2	#14563655	C₂	1	1	yes	maximal, characteristic
3	C₄×#10597265	C₂	1	1	yes	maximal, characteristic, complemented
4	#14562393	C₂	1	1	yes	maximal, characteristic, complemented
5	#14561538	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561536	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1806	C₂	1	1	yes	maximal, characteristic
8	#11926675	C₄	1	1	yes	characteristic, complemented
9	#11926675	C₄	1	1	yes	characteristic, complemented
10	#11926622	C₄	1	1	yes	characteristic, complemented
11	#11926622	C₄	1	1	yes	characteristic, complemented
12	#11926616	—	2	1	no	—
13	#11926616	—	2	1	no	—
14	#11926597	—	2	1	no	—
15	#11926597	C₂²	1	1	yes	characteristic
16	C₂×#10597265	—	2	1	no	—
17	#11926568	C₂²	1	1	yes	characteristic
18	C₂×#10597294	—	2	1	no	—
19	C₄×#64520	—	2	1	no	—
20	C₂×C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
21	C₄×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
22	#11926306	—	2	1	no	—
23	#11926303	—	2	1	no	—
24	#11926296	—	2	1	no	—
25	#11926296	—	2	1	no	—
26	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
27	C₁₉×#423	C₂²	1	1	yes	characteristic
28	C₂×C₁₉×#104	—	2	1	no	—
29	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
30	C₁₉×#339	—	2	1	no	—
31	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
32	C₂×M₁₆×C₁₉	—	2	1	no	—
33	C₄×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
34	C₄×Q₈×C₁₉	Q₈	1	1	yes	characteristic
35	C₄×D₄×C₁₉	—	2	1	no	—
36	C₄×D₄×C₁₉	—	2	1	no	—
37	C₄×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
38	C₄×D₄×C₁₉	Q₈	1	1	yes	characteristic
39	C₁₉×#117	—	2	1	no	—
40	C₁₉×#117	D₄	1	1	yes	characteristic
41	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
42	C₂×C₄²×C₁₉	—	2	1	no	—
43	C₂×C₄²×C₁₉	—	2	1	no	—
44	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
45	C₂×C₄⋊Dic₁₉	—	2	1	no	—
46	C₂×C₄×Dic₁₉	—	2	1	no	—
47	C₂×#64520	—	2	1	no	—
48	C₂×#64520	—	2	1	no	—
49	C₂×#64520	—	2	1	no	—
50	C₂²×C₁₉⋊C₈	D₄	1	1	yes	characteristic
51	C₂²×C₁₉⋊C₈	D₄	1	1	yes	characteristic
52	C₁₉×C₄⋊C₈	—	2	1	no	—
53	C₁₉×C₄⋊C₈	—	2	1	no	—
54	C₁₉×#104	—	4	2	no	—
55	C₁₉×#95	—	2	1	no	—
56	#10597294	—	4	2	no	—
57	C₁₉⋊#95	—	2	1	no	—
58	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
59	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
60	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
61	#10597265	—	2	4	no	—
62	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
63	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
64	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
65	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
66	C₄⋊(C₁₉⋊C₈)	C₂×C₄	1	1	yes	characteristic
67	C₄⋊(C₁₉⋊C₈)	C₂×C₄	1	1	yes	characteristic
68	#10597260	—	2	1	no	—
69	#10597260	—	2	1	no	—
70	C₄×C₁₉⋊C₈	—	2	1	no	—
71	C₄×C₁₉⋊C₈	C₂×C₄	1	1	yes	characteristic
72	C₄×C₁₉⋊C₈	C₂×C₄	1	1	yes	characteristic
73	C₄×C₁₉⋊C₈	D₄	1	1	yes	characteristic
74	C₄×C₁₉⋊C₈	D₄	1	1	yes	characteristic
75	#41×C₁₉	—	2	1	no	—
76	#41×C₁₉	—	2	1	no	—
77	#41×C₁₉	—	2	1	no	—
78	#41×C₁₉	—	2	1	no	—
79	C₂×Q₈×C₁₉	C₄⋊C₄	1	1	yes	characteristic
80	C₂×D₄×C₁₉	—	2	1	no	—
81	C₂×D₄×C₁₉	C₄⋊C₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₉	—	2	1	no	—
83	C₂²×C₄×C₁₉	—	2	1	no	—
84	C₂²×C₄×C₁₉	—	2	1	no	—
85	C₂²×C₄×C₁₉	—	4	1	no	—
86	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
89	C₂²×Dic₁₉	—	4	1	no	—
90	M₁₆×C₁₉	—	4	1	no	—
91	M₁₆×C₁₉	—	4	1	no	—
92	C₂×C₈×C₁₉	—	4	1	no	—
93	C₄⋊C₄×C₁₉	—	2	1	no	—
94	C₄⋊C₄×C₁₉	—	2	1	no	—
95	C₄⋊C₄×C₁₉	—	2	2	no	—
96	C₄⋊C₄×C₁₉	—	4	1	no	—
97	C₄⋊C₄×C₁₉	C₄⋊C₄	1	1	yes	characteristic
98	C₄⋊C₄×C₁₉	C₄⋊C₄	1	1	yes	characteristic
99	C₂²⋊C₄×C₁₉	—	2	1	no	—
100	C₂²⋊C₄×C₁₉	—	2	1	no	—
101	C₂²⋊C₄×C₁₉	—	2	1	no	—
102	C₄²×C₁₉	—	2	1	no	—
103	C₄²×C₁₉	—	2	1	no	—
104	C₄²×C₁₉	—	2	1	no	—
105	C₄²×C₁₉	—	4	1	no	—
106	C₄²×C₁₉	—	4	1	no	—
107	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
108	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
109	C₄²×C₁₉	C₂×Q₈	1	1	yes	characteristic
110	C₄²×C₁₉	#41	1	1	yes	characteristic
111	C₄⋊Dic₁₉	—	2	2	no	—
112	C₄⋊Dic₁₉	—	4	1	no	—
113	C₄×Dic₁₉	—	4	1	no	—
114	C₄×Dic₁₉	—	4	1	no	—
115	#64520	—	4	2	no	—
116	#64520	—	4	2	no	—
117	#64520	—	4	1	no	—
118	#64520	—	4	1	no	—
119	C₂×C₁₉⋊C₈	—	2	2	no	—
120	C₂×C₁₉⋊C₈	—	2	1	no	—
121	C₂×C₁₉⋊C₈	—	2	1	no	—
122	C₂×C₁₉⋊C₈	—	4	1	no	—
123	C₂×C₁₉⋊C₈	—	4	1	no	—
124	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
125	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
126	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
127	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
128	#8669	—	19	1	no	maximal, Sylow
129	C₂³×C₁₉	—	2	1	no	—
130	C₂³×C₁₉	#121	1	1	yes	characteristic
131	Q₈×C₁₉	—	2	1	no	—
132	Q₈×C₁₉	—	2	1	no	—
133	D₄×C₁₉	—	2	1	no	—
134	D₄×C₁₉	—	2	1	no	—
135	D₄×C₁₉	—	4	1	no	—
136	D₄×C₁₉	—	4	1	no	—
137	C₂×C₄×C₁₉	—	2	1	no	—
138	C₂×C₄×C₁₉	—	2	1	no	—
139	C₂×C₄×C₁₉	—	2	1	no	—
140	C₂×C₄×C₁₉	—	2	1	no	—
141	C₂×C₄×C₁₉	—	2	1	no	—
142	C₂×C₄×C₁₉	—	4	1	no	—
143	C₂×C₄×C₁₉	—	4	2	no	—
144	C₂×C₄×C₁₉	—	4	1	no	—
145	C₂×C₄×C₁₉	—	4	1	no	—
146	C₂×C₄×C₁₉	—	4	1	no	—
147	C₂×C₄×C₁₉	—	4	1	no	—
148	C₂×C₄×C₁₉	—	4	2	no	—
149	C₂×C₄×C₁₉	—	8	1	no	—
150	C₂×C₄×C₁₉	—	8	1	no	—
151	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
152	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
153	C₂×C₄×C₁₉	#117	1	1	yes	characteristic
154	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
155	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
156	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
157	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
158	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
159	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
161	C₂×Dic₁₉	—	4	2	no	—
162	C₂×Dic₁₉	—	8	1	no	—
163	C₂×Dic₁₉	—	8	1	no	—
164	C₈×C₁₉	—	8	1	no	—
165	C₁₉⋊C₈	—	2	1	no	—
166	C₁₉⋊C₈	—	2	1	no	—
167	C₁₉⋊C₈	—	2	1	no	—
168	C₁₉⋊C₈	—	4	1	no	—
169	C₁₉⋊C₈	—	4	1	no	—
170	C₁₉⋊C₈	—	8	1	no	—
171	C₁₉⋊C₈	#104	1	2	yes	complemented
172	#2965	—	19	1	no	—
173	#1806	—	19	1	no	—
174	#1806	D₁₉	1	1	yes	characteristic
175	C₄×#106	—	19	1	no	—
176	#1567	—	19	1	no	—
177	#1303	—	19	1	no	—
178	#1303	—	19	1	no	—
179	C₂²×C₁₉	—	2	1	no	—
180	C₂²×C₁₉	—	2	1	no	—
181	C₂²×C₁₉	—	4	1	no	—
182	C₂²×C₁₉	—	4	1	no	—
183	C₂²×C₁₉	—	4	1	no	—
184	C₂²×C₁₉	#380	1	1	yes	characteristic
185	C₂²×C₁₉	#468	1	1	yes	characteristic
186	C₂²×C₁₉	#468	1	1	yes	characteristic
187	C₄×C₁₉	—	2	1	no	—
188	C₄×C₁₉	—	2	1	no	—
189	C₄×C₁₉	—	2	1	no	—
190	C₄×C₁₉	—	4	1	no	—
191	C₄×C₁₉	—	4	1	no	—
192	C₄×C₁₉	—	4	1	no	—
193	C₄×C₁₉	—	8	2	no	—
194	C₄×C₁₉	C₂×#104	1	1	yes	characteristic
195	C₄×C₁₉	#421	1	1	yes	characteristic
196	C₄×C₁₉	#428	1	1	yes	characteristic
197	C₄×C₁₉	#428	1	1	yes	characteristic
198	C₄×C₁₉	#469	1	1	yes	characteristic
199	C₄×C₁₉	#470	1	1	yes	characteristic
200	Dic₁₉	—	8	2	no	—
201	C₄×#41	C₂×D₁₉	1	1	yes	characteristic
202	#446	—	19	1	no	—
203	#446	—	19	1	no	—
204	#436	—	19	1	no	—
205	#436	—	19	1	no	—
206	#435	—	38	1	no	—
207	#435	—	38	1	no	—
208	#431	—	19	1	no	—
209	#431	—	38	1	no	—
210	C₂×#106	—	38	1	no	—
211	#423	—	19	1	no	—
212	#423	C₂×D₁₉	1	1	yes	characteristic
213	C₂×#104	—	2	1	no	—
214	C₂×#104	—	38	1	no	—
215	C₄×M₁₆	—	38	1	no	—
216	C₂×C₄×C₈	—	19	1	no	—
217	C₄×C₄⋊C₄	—	19	1	no	—
218	C₄×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
219	#340	—	38	1	no	—
220	#339	—	2	1	no	—
221	#339	—	38	1	no	—
222	#335	—	38	1	no	—
223	#335	—	38	1	no	—
224	C₂×C₁₉	—	2	1	no	—
225	C₂×C₁₉	—	2	1	no	—
226	C₂×C₁₉	—	8	1	no	—
227	C₂×C₁₉	#1806	1	1	yes	characteristic
228	C₂×C₁₉	#1809	1	1	yes	characteristic
229	C₂×C₁₉	#1814	1	1	yes	characteristic
230	C₂×#41	C₂²⋊D₁₉	1	1	yes	characteristic
231	C₂×M₁₆	—	2	1	no	—
232	C₂×M₁₆	—	38	1	no	—
233	C₂×M₁₆	—	38	1	no	—
234	C₂×M₁₆	—	38	1	no	—
235	C₂²×C₈	—	19	1	no	—
236	C₂²×C₈	—	19	1	no	—
237	C₄×Q₈	Dic₃₈	1	1	yes	characteristic
238	C₄×Q₈	C₄×D₁₉	1	1	yes	characteristic
239	C₄×D₄	—	2	1	no	—
240	C₄×D₄	—	2	1	no	—
241	C₄×D₄	Dic₃₈	1	1	yes	characteristic
242	C₄×D₄	C₄×D₁₉	1	1	yes	characteristic
243	#117	—	2	1	no	—
244	#117	C₂²⋊D₁₉	1	1	yes	characteristic
245	C₂×C₄⋊C₄	—	2	1	no	—
246	C₂×C₄⋊C₄	—	38	1	no	—
247	C₂×C₄²	—	2	1	no	—
248	C₂×C₄²	—	2	1	no	—
249	C₂×C₄²	—	38	1	no	—
250	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
251	#106	—	38	4	no	—
252	C₄⋊C₈	—	2	1	no	—
253	C₄⋊C₈	—	2	1	no	—
254	C₄⋊C₈	—	19	1	no	—
255	C₄⋊C₈	—	19	1	no	—
256	C₄⋊C₈	—	38	1	no	—
257	C₄⋊C₈	—	38	1	no	—
258	C₄⋊C₈	—	38	1	no	—
259	C₄⋊C₈	—	38	1	no	—
260	#104	—	4	2	no	—
261	#104	—	76	2	no	—
262	C₂²⋊C₈	—	38	1	no	—
263	C₂²⋊C₈	—	38	1	no	—
264	C₂²⋊C₈	—	38	1	no	—
265	#97	—	38	1	no	—
266	#97	—	38	1	no	—
267	C₄×C₈	—	19	1	no	—
268	C₄×C₈	—	19	1	no	—
269	C₄×C₈	—	19	1	no	—
270	C₄×C₈	—	19	1	no	—
271	C₄×C₈	—	38	1	no	—
272	#95	—	2	1	no	—
273	#95	—	38	1	no	—
274	C₁₉	#8669	1	1	yes	characteristic, complemented, Sylow
275	#41	—	2	1	no	—
276	#41	—	2	1	no	—
277	#41	—	2	1	no	—
278	#41	—	2	1	no	—
279	C₂×Q₈	Dic₁₉⋊C₄	1	1	yes	characteristic
280	C₂×D₄	—	2	1	no	—
281	C₂×D₄	Dic₁₉⋊C₄	1	1	yes	characteristic
282	C₂²×C₄	—	2	1	no	—
283	C₂²×C₄	—	2	1	no	—
284	C₂²×C₄	—	2	1	no	—
285	C₂²×C₄	—	4	1	no	—
286	C₂²×C₄	—	76	1	no	—
287	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
288	C₂²×C₄	#64543	1	1	yes	characteristic
289	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
290	M₁₆	—	4	1	no	—
291	M₁₆	—	4	1	no	—
292	M₁₆	—	76	2	no	—
293	M₁₆	—	76	2	no	—
294	M₁₆	—	76	1	no	—
295	M₁₆	—	76	1	no	—
296	C₂×C₈	—	4	1	no	—
297	C₂×C₈	—	19	1	no	—
298	C₂×C₈	—	19	1	no	—
299	C₂×C₈	—	19	1	no	—
300	C₂×C₈	—	19	1	no	—
301	C₂×C₈	—	38	2	no	—
302	C₂×C₈	—	38	1	no	—
303	C₂×C₈	—	38	1	no	—
304	C₂×C₈	—	76	1	no	—
305	C₂×C₈	—	76	1	no	—
306	C₄⋊C₄	—	2	1	no	—
307	C₄⋊C₄	—	2	1	no	—
308	C₄⋊C₄	—	2	2	no	—
309	C₄⋊C₄	—	4	1	no	—
310	C₄⋊C₄	—	38	2	no	—
311	C₄⋊C₄	—	76	1	no	—
312	C₄⋊C₄	Dic₁₉⋊C₄	1	1	yes	characteristic
313	C₄⋊C₄	Dic₁₉⋊C₄	1	1	yes	characteristic
314	C₂²⋊C₄	—	2	1	no	—
315	C₂²⋊C₄	—	2	1	no	—
316	C₂²⋊C₄	—	2	1	no	—
317	C₄²	—	2	1	no	—
318	C₄²	—	2	1	no	—
319	C₄²	—	2	1	no	—
320	C₄²	—	4	1	no	—
321	C₄²	—	4	1	no	—
322	C₄²	—	76	1	no	—
323	C₄²	—	76	1	no	—
324	C₄²	C₂×Dic₃₈	1	1	yes	characteristic
325	C₄²	C₂×C₄×D₁₉	1	1	yes	characteristic
326	C₄²	D₄×D₁₉	1	1	yes	characteristic
327	C₄²	#64543	1	1	yes	characteristic
328	C₂³	—	2	1	no	—
329	C₂³	#10597385	1	1	yes	characteristic
330	Q₈	—	2	1	no	—
331	Q₈	—	2	1	no	—
332	D₄	—	2	1	no	—
333	D₄	—	2	1	no	—
334	D₄	—	4	1	no	—
335	D₄	—	4	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	1	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	1	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	8	1	no	—
349	C₂×C₄	—	8	1	no	—
350	C₂×C₄	—	76	2	no	—
351	C₂×C₄	—	152	1	no	—
352	C₂×C₄	—	152	1	no	—
353	C₂×C₄	#10597323	1	1	yes	characteristic
354	C₂×C₄	#10597324	1	1	yes	characteristic
355	C₂×C₄	#10597324	1	1	yes	characteristic
356	C₂×C₄	C₂²⋊C₄×D₁₉	1	1	yes	characteristic
357	C₂×C₄	C₂×Dic₁₉⋊C₄	1	1	yes	characteristic
358	C₂×C₄	#10597378	1	1	yes	characteristic
359	C₂×C₄	#10597385	1	1	yes	characteristic
360	C₂×C₄	#10597388	1	1	yes	characteristic
361	C₂×C₄	#10597395	1	1	yes	characteristic
362	C₂×C₄	#10597397	1	1	yes	characteristic
363	C₈	—	8	1	no	—
364	C₈	—	19	2	no	—
365	C₈	—	38	1	no	—
366	C₈	—	38	1	no	—
367	C₈	—	38	1	no	—
368	C₈	—	76	1	no	—
369	C₈	—	76	1	no	—
370	C₈	—	152	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	—	4	1	no	—
374	C₂²	—	4	1	no	—
375	C₂²	—	4	1	no	—
376	C₂²	#11926402	1	1	yes	characteristic
377	C₂²	#11926788	1	1	yes	characteristic
378	C₂²	#11926792	1	1	yes	characteristic
379	C₄	—	2	1	no	—
380	C₄	—	2	1	no	—
381	C₄	—	2	1	no	—
382	C₄	—	4	1	no	—
383	C₄	—	4	1	no	—
384	C₄	—	4	1	no	—
385	C₄	—	8	2	no	—
386	C₄	—	152	2	no	—
387	C₄	#104×D₁₉	1	1	yes	characteristic
388	C₄	#11926559	1	1	yes	characteristic
389	C₄	#11926584	1	1	yes	characteristic
390	C₄	#11926587	1	1	yes	characteristic
391	C₄	#11926795	1	1	yes	characteristic
392	C₄	#11926800	1	1	yes	characteristic
393	C₂	—	2	1	no	—
394	C₂	—	2	1	no	—
395	C₂	—	8	1	no	—
396	C₂	#14563653	1	1	yes	characteristic
397	C₂	#14563666	1	1	yes	characteristic
398	C₂	#14563687	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	#10597385
commutator	C₄²×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1806	C₂
socle	C₂²×C₁₉	#380
prime radical	C₂×#41×C₁₉	D₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#1806	D₁₉
hypocenter	C₁₉	#8669
LCS	G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1806

Complements

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

N	H ≅ G/N	type
3. C₄×#10597265	C₂	semidirect
4. #14562393	C₂	semidirect
5. #14561538	C₂	semidirect
6. #14561536	C₂	semidirect
8. #11926675	C₄	semidirect
9. #11926675	C₄	semidirect
10. #11926622	C₄	semidirect
11. #11926622	C₄	semidirect
171. C₁₉⋊C₈	#104	semidirect
274. C₁₉	#8669	semidirect

Maximal subgroups

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

subgroup	index
#14572602	2
#14563655	2
C₄×#10597265	2
#14562393	2
#14561538	2
#14561536	2
C₁₉×#1806	2
#8669	19