Subgroups — #25067158

Order 11008.

734 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145171	C₂	1	1	yes	maximal, characteristic
2	#19143302	C₂	1	2	yes	maximal, complemented
3	#19133509	C₂	1	1	yes	maximal, characteristic, complemented
4	#19133508	C₂	1	1	yes	maximal, characteristic, complemented
5	#19133506	C₂	1	2	yes	maximal, complemented
6	#19133420	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133417	C₂	1	2	yes	maximal, complemented
8	#19133349	C₂	1	1	yes	maximal, characteristic, complemented
9	#19133044	C₂	1	2	yes	maximal, complemented
10	#322×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#1580	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13063331	—	2	2	no	—
13	#14583446	C₂²	1	2	yes	—
14	#14583303	C₄	1	1	yes	characteristic
15	#14583274	C₄	1	1	yes	characteristic
16	#14583244	C₄	1	2	yes	—
17	#14583136	C₄	1	1	yes	characteristic
18	#14583134	C₄	1	2	yes	—
19	#14583132	C₄	1	1	yes	characteristic
20	C₄×D₃₄₄	C₂²	1	1	yes	characteristic
21	C₄×#10621882	C₂²	1	2	yes	—
22	#14582977	C₂²	1	2	yes	—
23	#14582976	C₂²	1	2	yes	—
24	#14582974	—	2	2	no	—
25	C₈×D₁₇₂	C₂²	1	2	yes	—
26	C₈×C₂²⋊D₄₃	—	2	2	no	—
27	#14582921	C₂²	1	2	yes	—
28	#14582864	—	2	2	no	—
29	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
30	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
31	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
32	#14582650	C₂²	1	1	yes	characteristic
33	#14582649	C₂²	1	2	yes	—
34	#14582628	C₂²	1	2	yes	—
35	D₄⋊(C₄₃⋊C₈)	C₂²	1	2	yes	—
36	#14582626	C₂²	1	2	yes	—
37	#14582621	C₂²	1	1	yes	characteristic
38	#14582621	C₂²	1	1	yes	characteristic
39	#14582620	C₂²	1	1	yes	characteristic
40	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic
41	C₈×D₄×C₄₃	C₂²	1	2	yes	—
42	C₄₃×#334	C₂²	1	1	yes	characteristic
43	C₄₃×D₄⋊C₈	C₂²	1	2	yes	—
44	C₄₃×#322	C₂²	1	1	yes	characteristic
45	C₂×#10621898	—	2	2	no	—
46	C₂×D₃₄₄	C₂×C₄	1	1	yes	characteristic
47	C₂×#10621882	C₂×C₄	1	2	yes	—
48	#13063331	—	4	8	no	—
49	C₂×#10621877	—	2	2	no	—
50	C₂×#10621872	—	2	2	no	—
51	C₂×#10621872	—	2	2	no	—
52	C₂×C₈×D₄₃	—	2	1	no	—
53	C₂×C₈×D₄₃	—	2	2	no	—
54	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
55	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
56	C₂×C₈×D₄₃	D₄	1	2	yes	—
57	#13063324	C₂×C₄	1	2	yes	—
58	#13063321	C₂×C₄	1	2	yes	—
59	#13063311	—	2	2	no	—
60	#13063300	C₂×C₄	1	2	yes	—
61	#13063298	—	2	2	no	—
62	#13063296	C₂×C₄	1	2	yes	—
63	C₄×D₁₇₂	C₂³	1	2	yes	—
64	C₄×C₂²⋊D₄₃	—	2	2	no	—
65	C₄²×D₄₃	C₂³	1	1	yes	characteristic
66	#13063259	C₂×C₄	1	1	yes	characteristic
67	#13063258	C₂×C₄	1	2	yes	—
68	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
69	Dic₄₃⋊C₈	—	2	2	no	—
70	#13063247	C₂×C₄	1	2	yes	—
71	#13063246	C₂×C₄	1	2	yes	—
72	#13063245	C₂×C₄	1	2	yes	—
73	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
74	(C₂×D₄₃)⋊C₈	—	2	2	no	—
75	(C₂×D₄₃)⋊C₈	—	2	2	no	—
76	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
77	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
78	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
79	C₈×Dic₄₃	—	2	1	no	—
80	C₈×Dic₄₃	C₂×C₄	1	1	yes	characteristic
81	C₈×Dic₄₃	C₂×C₄	1	1	yes	characteristic
82	C₈×Dic₄₃	D₄	1	2	yes	—
83	C₂×D₈×C₄₃	C₂×C₄	1	1	yes	characteristic
84	C₂²×C₈×C₄₃	—	2	2	no	—
85	C₄×D₄×C₄₃	C₂³	1	2	yes	—
86	#107×C₄₃	C₂×C₄	1	1	yes	characteristic
87	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
88	#102×C₄₃	C₂×C₄	1	2	yes	—
89	C₂²⋊C₈×C₄₃	—	2	2	no	—
90	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
91	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
92	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
93	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
94	C₂²×C₄×C₄₃	—	2	2	no	—
95	C₂×C₂²⋊D₄₃	—	2	2	no	—
96	C₂×C₂²⋊D₄₃	—	2	2	no	—
97	C₂×C₂²⋊D₄₃	—	2	2	no	—
98	#10621898	—	4	4	no	—
99	#10621898	—	4	4	no	—
100	C₂×D₁₇₂	—	2	2	no	—
101	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
102	C₂×C₄×D₄₃	—	2	2	no	—
103	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
104	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
105	C₂×C₄×D₄₃	#41	1	1	yes	characteristic
106	C₂×Dic₈₆	—	2	2	no	—
107	D₈×C₄₃	—	2	2	no	—
108	C₂×C₈×C₄₃	—	2	2	no	—
109	C₂×C₈×C₄₃	—	2	1	no	—
110	C₂×C₈×C₄₃	—	4	4	no	—
111	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
112	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
113	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
114	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
115	C₂²⋊C₄×C₄₃	—	2	2	no	—
116	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
117	C₂²⋊Dic₄₃	—	2	2	no	—
118	#10621882	—	2	4	no	—
119	(C₂×D₄₃)⋊C₄	—	2	2	no	—
120	(C₂×D₄₃)⋊C₄	—	2	2	no	—
121	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
122	Dic₄₃⋊C₄	—	2	2	no	—
123	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
124	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
125	C₄×Dic₄₃	#41	1	1	yes	characteristic
126	#10621877	—	4	4	no	—
127	C₂×C₄₃⋊C₈	—	2	2	no	—
128	C₂×C₄₃⋊C₈	—	2	1	no	—
129	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
130	C₂×C₄₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
131	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
132	D₃₄₄	—	2	2	no	—
133	#10621872	—	4	4	no	—
134	#10621872	—	4	4	no	—
135	C₈×D₄₃	—	2	4	no	—
136	C₈×D₄₃	—	2	2	no	—
137	C₈×D₄₃	—	2	2	no	—
138	C₈×D₄₃	—	4	4	no	—
139	C₈×D₄₃	—	4	2	no	—
140	C₂³×C₄₃	—	2	2	no	—
141	C₂²×D₄₃	—	2	2	no	—
142	C₂²×D₄₃	C₄×D₄	1	1	yes	characteristic
143	D₄×C₄₃	—	2	2	no	—
144	D₄×C₄₃	—	2	2	no	—
145	C₂×C₄×C₄₃	—	2	2	no	—
146	C₂×C₄×C₄₃	—	4	2	no	—
147	C₂×C₄×C₄₃	—	4	2	no	—
148	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
151	C₂²⋊D₄₃	—	4	4	no	—
152	C₂²⋊D₄₃	—	4	4	no	—
153	C₂²⋊D₄₃	—	4	4	no	—
154	C₂×Dic₄₃	—	2	2	no	—
155	C₂×Dic₄₃	C₄×D₄	1	1	yes	characteristic
156	C₂×Dic₄₃	C₄×D₄	1	1	yes	characteristic
157	C₂×Dic₄₃	C₄×D₄	1	1	yes	characteristic
158	D₁₇₂	—	2	2	no	—
159	D₁₇₂	—	2	2	no	—
160	D₁₇₂	—	4	4	no	—
161	C₄×D₄₃	—	2	1	no	—
162	C₄×D₄₃	—	2	1	no	—
163	C₄×D₄₃	—	2	2	no	—
164	C₄×D₄₃	—	4	2	no	—
165	C₄×D₄₃	—	4	2	no	—
166	C₄×D₄₃	AGL(1,ℤ/8)	1	4	yes	—
167	Dic₈₆	—	4	4	no	—
168	C₈×C₄₃	—	2	1	no	—
169	C₈×C₄₃	—	2	2	no	—
170	C₈×C₄₃	—	4	1	no	—
171	C₈×C₄₃	—	4	2	no	—
172	C₈×C₄₃	#131	1	2	yes	complemented
173	C₄₃⋊C₈	—	2	1	no	—
174	C₄₃⋊C₈	—	2	2	no	—
175	C₄₃⋊C₈	—	4	1	no	—
176	C₄₃⋊C₈	—	4	2	no	—
177	C₄₃⋊C₈	#131	1	2	yes	complemented
178	#17962	—	43	1	no	maximal, Sylow
179	C₂²×C₄₃	—	4	2	no	—
180	C₂²×C₄₃	—	4	2	no	—
181	C₂²×C₄₃	—	4	2	no	—
182	C₂²×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
183	C₂×D₄₃	—	2	1	no	—
184	C₂×D₄₃	—	2	1	no	—
185	C₂×D₄₃	—	4	2	no	—
186	C₂×D₄₃	—	4	2	no	—
187	C₂×D₄₃	—	4	2	no	—
188	C₂×D₄₃	#442	1	2	yes	—
189	C₄×C₄₃	—	2	1	no	—
190	C₄×C₄₃	—	4	2	no	—
191	C₄×C₄₃	C₂×#131	1	1	yes	characteristic
192	C₄×C₄₃	C₂×#131	1	1	yes	characteristic
193	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
194	Dic₄₃	—	2	1	no	—
195	Dic₄₃	—	4	2	no	—
196	Dic₄₃	#442	1	2	yes	—
197	Dic₄₃	#444	1	2	yes	—
198	#3169	—	43	1	no	—
199	#2931	—	43	2	no	—
200	#1594	—	43	1	no	—
201	#1594	—	43	1	no	—
202	#1594	—	43	2	no	—
203	#1580	—	43	2	no	—
204	#1580	—	43	1	no	—
205	#1580	D₄₃	1	1	yes	characteristic, complemented
206	#1566	—	43	1	no	—
207	#1492	—	43	2	no	—
208	C₂×#322	—	43	1	no	—
209	C₂×C₄₃	—	8	2	no	—
210	C₂×C₄₃	#2931	1	1	yes	characteristic
211	C₂×C₄₃	C₂×#442	1	1	yes	characteristic
212	C₂×C₄₃	C₂×#444	1	1	yes	characteristic
213	D₄₃	—	2	2	no	—
214	D₄₃	—	8	2	no	—
215	C₂×#131	—	86	2	no	—
216	#532	—	43	2	no	—
217	#500	—	43	1	no	—
218	#493	—	43	1	no	—
219	#486	—	43	2	no	—
220	#466	—	43	1	no	—
221	#466	—	43	1	no	—
222	#466	—	43	2	no	—
223	C₄×D₈	—	43	2	no	—
224	C₄×D₈	—	43	1	no	—
225	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic
226	#436	—	43	2	no	—
227	#436	—	43	2	no	—
228	#436	—	86	2	no	—
229	C₈×D₄	—	43	2	no	—
230	C₈×D₄	—	86	2	no	—
231	C₈×D₄	C₂×D₄₃	1	2	yes	—
232	#423	—	43	2	no	—
233	#408	—	86	2	no	—
234	C₂×C₄×C₈	—	43	1	no	—
235	C₂×C₄×C₈	—	43	1	no	—
236	C₂×C₄×C₈	—	43	1	no	—
237	#334	—	43	2	no	—
238	#334	—	43	1	no	—
239	#334	C₂×D₄₃	1	1	yes	characteristic
240	D₄⋊C₈	—	43	2	no	—
241	D₄⋊C₈	—	43	2	no	—
242	D₄⋊C₈	—	43	2	no	—
243	D₄⋊C₈	C₂×D₄₃	1	2	yes	—
244	#322	—	43	1	no	—
245	#322	—	43	1	no	—
246	#322	—	43	1	no	—
247	#322	C₂×D₄₃	1	1	yes	characteristic
248	C₄₃	#17962	1	1	yes	characteristic, complemented, Sylow
249	C₂×#41	—	86	2	no	—
250	C₂×D₈	—	43	2	no	—
251	C₂×D₈	—	43	1	no	—
252	C₂×D₈	C₄×D₄₃	1	1	yes	characteristic
253	#131	—	172	8	no	—
254	C₂×M₁₆	—	86	2	no	—
255	C₂×M₁₆	—	86	2	no	—
256	C₂×M₁₆	—	86	2	no	—
257	C₂²×C₈	—	2	2	no	—
258	C₂²×C₈	—	43	1	no	—
259	C₂²×C₈	—	43	1	no	—
260	C₂²×C₈	—	43	2	no	—
261	C₂²×C₈	—	86	1	no	—
262	C₂²×C₈	—	86	2	no	—
263	C₄⋊Q₈	—	43	2	no	—
264	#127	—	43	2	no	—
265	#124	—	86	2	no	—
266	#121	—	43	2	no	—
267	#121	—	43	2	no	—
268	#121	—	86	2	no	—
269	C₄×D₄	—	43	2	no	—
270	C₄×D₄	—	86	2	no	—
271	C₄×D₄	C₂²×D₄₃	1	2	yes	—
272	C₂×C₄²	—	43	1	no	—
273	#107	—	43	1	no	—
274	#107	—	43	2	no	—
275	#107	C₄×D₄₃	1	1	yes	characteristic
276	C₄⋊C₈	—	43	2	no	—
277	C₄⋊C₈	—	86	2	no	—
278	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
279	#102	—	43	2	no	—
280	#102	—	43	2	no	—
281	#102	—	43	2	no	—
282	#102	C₄×D₄₃	1	2	yes	—
283	C₂²⋊C₈	—	2	2	no	—
284	C₂²⋊C₈	—	86	2	no	—
285	C₂²⋊C₈	—	86	2	no	—
286	C₂²⋊C₈	—	86	2	no	—
287	C₄×C₈	—	43	1	no	—
288	C₄×C₈	—	43	1	no	—
289	C₄×C₈	—	43	2	no	—
290	C₄×C₈	—	43	1	no	—
291	C₄×C₈	—	43	1	no	—
292	C₄×C₈	—	43	1	no	—
293	C₄×C₈	—	86	1	no	—
294	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
295	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
296	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
297	#41	—	172	4	no	—
298	#41	—	172	4	no	—
299	C₂×Q₈	—	86	2	no	—
300	C₂×D₄	—	43	2	no	—
301	C₂×D₄	—	86	2	no	—
302	C₂×D₄	—	86	2	no	—
303	C₂×D₄	—	86	2	no	—
304	C₂×D₄	—	86	2	no	—
305	C₂×D₄	C₂×C₄×D₄₃	1	2	yes	—
306	C₂²×C₄	—	2	2	no	—
307	C₂²×C₄	—	43	1	no	—
308	C₂²×C₄	—	43	1	no	—
309	C₂²×C₄	—	43	1	no	—
310	C₂²×C₄	—	86	2	no	—
311	D₈	—	2	2	no	—
312	D₈	—	86	4	no	—
313	D₈	—	86	2	no	—
314	M₁₆	—	172	4	no	—
315	M₁₆	—	172	4	no	—
316	M₁₆	—	172	4	no	—
317	C₂×C₈	—	2	2	no	—
318	C₂×C₈	—	2	1	no	—
319	C₂×C₈	—	4	4	no	—
320	C₂×C₈	—	43	1	no	—
321	C₂×C₈	—	43	1	no	—
322	C₂×C₈	—	43	2	no	—
323	C₂×C₈	—	86	2	no	—
324	C₂×C₈	—	86	4	no	—
325	C₂×C₈	—	86	2	no	—
326	C₂×C₈	—	86	2	no	—
327	C₂×C₈	—	86	1	no	—
328	C₂×C₈	—	172	4	no	—
329	C₂×C₈	—	172	2	no	—
330	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
331	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
332	C₂×C₈	D₄×D₄₃	1	2	yes	—
333	C₄⋊C₄	—	43	2	no	—
334	C₄⋊C₄	—	86	2	no	—
335	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
336	C₂²⋊C₄	—	2	2	no	—
337	C₂²⋊C₄	—	86	2	no	—
338	C₂²⋊C₄	—	86	2	no	—
339	C₂²⋊C₄	—	86	2	no	—
340	C₄²	—	43	1	no	—
341	C₄²	—	43	1	no	—
342	C₄²	—	43	1	no	—
343	C₄²	C₂³×D₄₃	1	1	yes	characteristic
344	C₂³	—	2	2	no	—
345	C₂³	—	43	1	no	—
346	C₂³	—	86	2	no	—
347	Q₈	—	172	4	no	—
348	D₄	—	2	2	no	—
349	D₄	—	2	2	no	—
350	D₄	—	86	2	no	—
351	D₄	—	86	2	no	—
352	D₄	—	172	4	no	—
353	D₄	—	172	4	no	—
354	D₄	—	172	4	no	—
355	D₄	—	172	4	no	—
356	C₂×C₄	—	2	2	no	—
357	C₂×C₄	—	4	2	no	—
358	C₂×C₄	—	4	2	no	—
359	C₂×C₄	—	43	1	no	—
360	C₂×C₄	—	43	1	no	—
361	C₂×C₄	—	43	4	no	—
362	C₂×C₄	—	43	1	no	—
363	C₂×C₄	—	86	2	no	—
364	C₂×C₄	—	86	1	no	—
365	C₂×C₄	—	86	1	no	—
366	C₂×C₄	—	86	2	no	—
367	C₂×C₄	—	172	2	no	—
368	C₂×C₄	—	172	2	no	—
369	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
370	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
371	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
372	C₈	—	2	1	no	—
373	C₈	—	2	2	no	—
374	C₈	—	4	1	no	—
375	C₈	—	4	2	no	—
376	C₈	—	43	2	no	—
377	C₈	—	86	1	no	—
378	C₈	—	86	2	no	—
379	C₈	—	172	1	no	—
380	C₈	—	172	2	no	—
381	C₈	#13063331	1	2	yes	complemented
382	C₂²	—	4	2	no	—
383	C₂²	—	4	2	no	—
384	C₂²	—	4	2	no	—
385	C₂²	—	43	2	no	—
386	C₂²	—	86	1	no	—
387	C₂²	—	86	1	no	—
388	C₂²	—	172	2	no	—
389	C₂²	—	172	2	no	—
390	C₂²	—	172	2	no	—
391	C₂²	C₄×D₄×D₄₃	1	1	yes	characteristic
392	C₄	—	2	1	no	—
393	C₄	—	4	2	no	—
394	C₄	—	43	2	no	—
395	C₄	—	43	2	no	—
396	C₄	—	86	1	no	—
397	C₄	—	172	2	no	—
398	C₄	#131×D₄₃	1	1	yes	characteristic
399	C₄	C₂×#13063331	1	1	yes	characteristic
400	C₄	AGL(1,ℤ/8)×D₄₃	1	2	yes	—
401	C₂	—	8	2	no	—
402	C₂	—	86	2	no	—
403	C₂	—	344	2	no	—
404	C₂	#19143302	1	1	yes	characteristic
405	C₂	#442×D₄₃	1	1	yes	characteristic
406	C₂	#444×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#1580	C₂
socle	C₂²×C₄₃	C₂×C₄×D₄
prime radical	#19145171	C₂
cosocle	C₄²×C₄₃	C₂⁴
hypercenter	#1580	D₄₃
hypocenter	C₄₃	#17962
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×C₈ ◁ #1580

Complements

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

N	H ≅ G/N	type
2. #19143302	C₂	semidirect
3. #19133509	C₂	semidirect
4. #19133508	C₂	semidirect
5. #19133506	C₂	semidirect
6. #19133420	C₂	semidirect
7. #19133417	C₂	semidirect
8. #19133349	C₂	semidirect
9. #19133044	C₂	semidirect
10. #322×D₄₃	C₂	semidirect
11. C₄₃×#1580	C₂	semidirect
172. C₈×C₄₃	#131	semidirect
177. C₄₃⋊C₈	#131	semidirect
205. #1580	D₄₃	semidirect
248. C₄₃	#17962	semidirect
381. C₈	#13063331	semidirect

Maximal subgroups

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

subgroup	index
#19145171	2
#19143302	2
#19133509	2
#19133508	2
#19133506	2
#19133420	2
#19133417	2
#19133349	2
#19133044	2
#322×D₄₃	2
C₄₃×#1580	2
#17962	43