Subgroups — #25079999

Order 11008.

584 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145930	C₂	1	2	yes	maximal
2	#19145182	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143572	C₂	1	1	yes	maximal, characteristic
4	#19134151	C₂	1	2	yes	maximal, complemented
5	#19134145	C₂	1	2	yes	maximal, complemented
6	#19133981	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133965	C₂	1	1	yes	maximal, characteristic, complemented
8	#19133961	C₂	1	1	yes	maximal, characteristic, complemented
9	#335×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
10	#19133294	C₂	1	2	yes	maximal, complemented
11	C₄₃×#1674	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583454	C₂²	1	2	yes	—
13	#14583436	C₂²	1	1	yes	characteristic
14	#14583279	C₂²	1	1	yes	characteristic
15	#14583251	C₂²	1	2	yes	—
16	#14583208	—	2	2	no	—
17	#14583184	C₂²	1	2	yes	—
18	#14583180	C₂²	1	2	yes	—
19	#14583141	—	2	1	no	—
20	#14583141	—	2	1	no	—
21	#14583137	—	2	2	no	—
22	#14583131	—	2	2	no	—
23	#14583123	—	2	2	no	—
24	#14583101	C₂²	1	2	yes	—
25	#14583030	C₂²	1	1	yes	characteristic
26	#14582993	—	2	1	no	—
27	#14582993	—	2	1	no	—
28	#14582976	C₂²	1	1	yes	characteristic
29	#14582969	—	2	1	no	—
30	C₈×D₁₇₂	—	2	1	no	—
31	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
32	#14582959	—	2	1	no	—
33	#14582955	C₂²	1	1	yes	characteristic
34	C₄⋊C₈×D₄₃	C₂²	1	2	yes	—
35	#14582853	—	2	1	no	—
36	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
37	#14582652	C₂²	1	1	yes	characteristic
38	#14582651	C₂²	1	2	yes	—
39	#14582646	C₂²	1	2	yes	—
40	#14582645	C₂²	1	2	yes	—
41	#14582644	C₂²	1	2	yes	—
42	C₄₃×#500	C₂²	1	1	yes	characteristic
43	C₄₃×#462	C₂²	1	2	yes	—
44	C₈×Q₈×C₄₃	C₂²	1	1	yes	characteristic
45	C₄₃×#335	C₂²	1	1	yes	characteristic
46	C₄₃×#332	C₂²	1	2	yes	—
47	C₂×Dic₁₇₂	—	2	1	no	—
48	C₂×Dic₁₇₂	—	2	1	no	—
49	C₂×#10621884	—	2	2	no	—
50	C₂×#10621872	—	2	1	no	—
51	C₂×C₈×D₄₃	—	2	1	no	—
52	C₂×C₈×D₄₃	—	2	2	no	—
53	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
54	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
55	#13063325	C₂³	1	2	yes	—
56	#13063320	—	2	1	no	—
57	#13063316	—	2	2	no	—
58	#13063316	D₄	1	1	yes	characteristic
59	#13063314	D₄	1	1	yes	characteristic
60	#13063310	—	2	1	no	—
61	#13063305	—	2	2	no	—
62	#13063301	—	2	2	no	—
63	#13063301	D₄	1	1	yes	characteristic
64	#13063300	D₄	1	1	yes	characteristic
65	Q₈×Dic₄₃	—	2	2	no	—
66	#13063290	—	2	2	no	—
67	C₄×D₁₇₂	—	2	1	no	—
68	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
69	#13063283	—	2	2	no	—
70	#13063282	—	2	1	no	—
71	C₄²×D₄₃	C₂³	1	1	yes	characteristic
72	#13063259	—	2	2	no	—
73	#13063256	—	2	2	no	—
74	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
75	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
76	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
77	Dic₄₃⋊C₈	—	2	2	no	—
78	#13063249	—	2	2	no	—
79	#13063249	—	2	2	no	—
80	#13063248	—	2	2	no	—
81	#13063248	—	2	2	no	—
82	#13063247	—	2	2	no	—
83	(C₂×D₄₃)⋊C₈	—	2	1	no	—
84	(C₂×D₄₃)⋊C₈	—	2	1	no	—
85	(C₂×D₄₃)⋊C₈	—	2	1	no	—
86	#13063236	—	2	1	no	—
87	#13063235	—	2	1	no	—
88	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
89	C₈×Dic₄₃	D₄	1	1	yes	characteristic
90	C₈×Dic₄₃	D₄	1	1	yes	characteristic
91	C₂×Q₁₆×C₄₃	—	2	2	no	—
92	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
93	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
94	#107×C₄₃	—	2	1	no	—
95	#107×C₄₃	—	2	1	no	—
96	C₄⋊C₈×C₄₃	—	2	1	no	—
97	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
98	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
99	#103×C₄₃	—	2	2	no	—
100	C₄×C₈×C₄₃	—	2	1	no	—
101	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
102	C₂×Q₈×C₄₃	—	2	2	no	—
103	C₂×Q₈×C₄₃	C₂×D₄	1	1	yes	characteristic
104	C₂×D₁₇₂	—	2	1	no	—
105	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
106	C₂×C₄×D₄₃	—	2	1	no	—
107	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
108	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
109	C₂×C₄×D₄₃	#41	1	1	yes	characteristic
110	C₂×Dic₈₆	—	2	2	no	—
111	Q₁₆×C₄₃	—	8	2	no	—
112	C₂×C₈×C₄₃	—	2	1	no	—
113	C₂×C₈×C₄₃	—	2	2	no	—
114	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
115	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
116	C₄⋊C₄×C₄₃	—	2	1	no	—
117	C₄⋊C₄×C₄₃	—	2	2	no	—
118	C₄⋊C₄×C₄₃	—	2	2	no	—
119	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
120	C₄²×C₄₃	—	2	1	no	—
121	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
122	#10621884	—	8	2	no	—
123	(C₂×D₄₃)⋊C₄	—	2	1	no	—
124	(C₂×D₄₃)⋊C₄	—	2	1	no	—
125	(C₂×D₄₃)⋊C₄	—	2	1	no	—
126	(C₂×D₄₃)⋊C₄	—	2	1	no	—
127	(C₂×D₄₃)⋊C₄	—	2	1	no	—
128	(C₂×D₄₃)⋊C₄	—	4	2	no	—
129	C₄⋊Dic₄₃	—	2	1	no	—
130	C₄⋊Dic₄₃	—	2	2	no	—
131	C₄⋊Dic₄₃	—	2	2	no	—
132	C₄⋊Dic₄₃	—	4	2	no	—
133	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
134	Dic₄₃⋊C₄	—	2	1	no	—
135	Dic₄₃⋊C₄	—	2	1	no	—
136	Dic₄₃⋊C₄	—	4	2	no	—
137	C₄×Dic₄₃	—	4	2	no	—
138	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
139	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
140	C₄×Dic₄₃	#41	1	1	yes	characteristic
141	C₂×C₄₃⋊C₈	—	2	1	no	—
142	C₂×C₄₃⋊C₈	—	2	2	no	—
143	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
144	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
145	Dic₁₇₂	—	4	2	no	—
146	Dic₁₇₂	—	4	2	no	—
147	#10621872	—	4	2	no	—
148	C₈×D₄₃	—	2	2	no	—
149	C₈×D₄₃	—	4	1	no	—
150	C₈×D₄₃	—	4	2	no	—
151	C₈×D₄₃	—	8	2	no	—
152	C₂²×D₄₃	—	2	1	no	—
153	C₂²×D₄₃	#121	1	1	yes	characteristic
154	Q₈×C₄₃	—	2	1	no	—
155	Q₈×C₄₃	—	2	1	no	—
156	Q₈×C₄₃	—	4	2	no	—
157	Q₈×C₄₃	—	4	2	no	—
158	C₂×C₄×C₄₃	—	2	1	no	—
159	C₂×C₄×C₄₃	—	2	1	no	—
160	C₂×C₄×C₄₃	—	4	2	no	—
161	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
164	C₂×Dic₄₃	—	2	1	no	—
165	C₂×Dic₄₃	—	4	2	no	—
166	C₂×Dic₄₃	#121	1	1	yes	characteristic
167	C₂×Dic₄₃	#121	1	1	yes	characteristic
168	C₂×Dic₄₃	#121	1	1	yes	characteristic
169	D₁₇₂	—	2	1	no	—
170	D₁₇₂	—	2	1	no	—
171	D₁₇₂	—	4	2	no	—
172	C₄×D₄₃	—	2	2	no	—
173	C₄×D₄₃	—	2	1	no	—
174	C₄×D₄₃	—	2	1	no	—
175	C₄×D₄₃	—	2	1	no	—
176	C₄×D₄₃	—	2	1	no	—
177	C₄×D₄₃	—	4	1	no	—
178	C₄×D₄₃	—	4	1	no	—
179	Dic₈₆	—	4	2	no	—
180	Dic₈₆	—	4	2	no	—
181	C₈×C₄₃	—	2	1	no	—
182	C₈×C₄₃	—	4	1	no	—
183	C₈×C₄₃	—	4	2	no	—
184	C₈×C₄₃	#135	1	2	yes	—
185	C₄₃⋊C₈	—	2	1	no	—
186	C₄₃⋊C₈	—	2	1	no	—
187	C₄₃⋊C₈	—	4	1	no	—
188	C₄₃⋊C₈	—	4	2	no	—
189	#19223	—	43	1	no	maximal, Sylow
190	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
191	C₂×D₄₃	—	2	1	no	—
192	C₂×D₄₃	—	2	1	no	—
193	C₂×D₄₃	—	4	1	no	—
194	C₂×D₄₃	—	4	1	no	—
195	C₂×D₄₃	—	4	1	no	—
196	C₂×D₄₃	#473	1	2	yes	—
197	C₄×C₄₃	—	2	1	no	—
198	C₄×C₄₃	—	4	1	no	—
199	C₄×C₄₃	—	4	1	no	—
200	C₄×C₄₃	—	8	2	no	—
201	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
202	C₄×C₄₃	#575	1	1	yes	characteristic
203	C₄×C₄₃	#576	1	1	yes	characteristic
204	C₄×C₄₃	#578	1	1	yes	characteristic
205	Dic₄₃	—	2	1	no	—
206	Dic₄₃	—	2	1	no	—
207	Dic₄₃	—	2	1	no	—
208	Dic₄₃	—	4	1	no	—
209	Dic₄₃	—	8	2	no	—
210	#3248	—	43	2	no	—
211	#3170	—	43	1	no	—
212	#2966	—	43	1	no	—
213	#1700	—	43	2	no	—
214	#1699	—	43	2	no	—
215	#1674	D₄₃	1	1	yes	characteristic, complemented
216	#1673	—	43	1	no	—
217	#1670	—	43	1	no	—
218	#1669	—	43	1	no	—
219	C₂×#335	—	43	1	no	—
220	#1552	—	43	2	no	—
221	C₂×C₄₃	#3035	1	1	yes	characteristic
222	C₂×C₄₃	#3061	1	1	yes	characteristic
223	C₂×C₄₃	C₂×#473	1	1	yes	characteristic
224	D₄₃	—	2	2	no	—
225	D₄₃	—	8	1	no	—
226	#533	—	43	2	no	—
227	#529	—	43	1	no	—
228	#500	C₂×D₄₃	1	1	yes	characteristic
229	#494	—	43	1	no	—
230	#487	—	43	2	no	—
231	#479	—	86	2	no	—
232	#475	—	43	2	no	—
233	#474	—	43	2	no	—
234	#467	—	86	1	no	—
235	#467	—	86	1	no	—
236	#467	—	86	2	no	—
237	#465	—	86	2	no	—
238	#464	—	86	2	no	—
239	#462	C₂×D₄₃	1	2	yes	—
240	#461	—	43	2	no	—
241	#446	—	43	1	no	—
242	C₈×Q₈	C₂×D₄₃	1	1	yes	characteristic
243	C₄×Q₁₆	—	86	1	no	—
244	C₄×Q₁₆	—	86	1	no	—
245	#436	—	43	1	no	—
246	#435	—	86	1	no	—
247	C₈×D₄	—	43	1	no	—
248	C₈×D₄	—	86	1	no	—
249	#433	—	86	1	no	—
250	#432	—	43	1	no	—
251	C₂×C₄⋊C₈	—	43	2	no	—
252	#405	—	86	1	no	—
253	C₂×C₄×C₈	—	43	1	no	—
254	#335	—	43	2	no	—
255	#335	—	43	1	no	—
256	#335	C₂×D₄₃	1	1	yes	characteristic
257	#332	—	43	2	no	—
258	#332	—	43	2	no	—
259	#332	—	43	2	no	—
260	#332	C₂×D₄₃	1	2	yes	—
261	C₄₃	#19223	1	1	yes	characteristic, complemented, Sylow
262	C₂×Q₁₆	—	2	2	no	—
263	C₂×Q₁₆	—	86	1	no	—
264	C₂×Q₁₆	—	86	1	no	—
265	C₂×SD₁₆	—	86	2	no	—
266	C₂×M₁₆	—	86	1	no	—
267	C₂²×C₈	—	43	1	no	—
268	C₂²×C₈	—	43	1	no	—
269	C₂²×C₈	—	86	2	no	—
270	C₂²×C₈	—	86	1	no	—
271	C₄⋊Q₈	—	43	2	no	—
272	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
273	#126	—	86	1	no	—
274	#125	—	43	1	no	—
275	#125	—	86	2	no	—
276	#124	—	43	1	no	—
277	#123	—	86	1	no	—
278	C₂²⋊Q₈	—	43	1	no	—
279	C₂²⋊Q₈	—	86	2	no	—
280	C₂²⋊Q₈	—	86	2	no	—
281	#121	—	43	1	no	—
282	C₄×Q₈	—	86	2	no	—
283	C₄×Q₈	—	86	2	no	—
284	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
285	C₄×D₄	—	43	1	no	—
286	C₄×D₄	—	86	1	no	—
287	#117	—	86	1	no	—
288	#117	—	86	2	no	—
289	C₂×C₄²	—	43	1	no	—
290	#107	—	2	1	no	—
291	#107	—	2	1	no	—
292	#107	—	86	2	no	—
293	#106	—	86	2	no	—
294	C₄⋊C₈	—	2	1	no	—
295	C₄⋊C₈	—	43	1	no	—
296	C₄⋊C₈	—	43	2	no	—
297	C₄⋊C₈	—	86	1	no	—
298	C₄⋊C₈	—	86	2	no	—
299	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
300	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
301	#103	—	2	2	no	—
302	#103	—	86	2	no	—
303	#103	—	86	2	no	—
304	#103	—	86	2	no	—
305	#103	—	86	2	no	—
306	#102	—	86	2	no	—
307	C₂²⋊C₈	—	86	1	no	—
308	C₂²⋊C₈	—	86	1	no	—
309	C₂²⋊C₈	—	86	1	no	—
310	#97	—	86	1	no	—
311	#97	—	86	1	no	—
312	C₄×C₈	—	2	1	no	—
313	C₄×C₈	—	43	1	no	—
314	C₄×C₈	—	43	1	no	—
315	C₄×C₈	—	43	1	no	—
316	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
317	C₂×Q₈	—	2	2	no	—
318	C₂×Q₈	—	86	2	no	—
319	C₂×Q₈	D₄×D₄₃	1	1	yes	characteristic
320	C₂×D₄	—	43	1	no	—
321	C₂×D₄	—	86	1	no	—
322	C₂²×C₄	—	43	1	no	—
323	C₂²×C₄	—	43	1	no	—
324	C₂²×C₄	—	43	1	no	—
325	C₂²×C₄	—	86	1	no	—
326	Q₁₆	—	8	2	no	—
327	Q₁₆	—	172	2	no	—
328	Q₁₆	—	172	2	no	—
329	SD₁₆	—	344	2	no	—
330	M₁₆	—	172	2	no	—
331	C₂×C₈	—	2	1	no	—
332	C₂×C₈	—	2	2	no	—
333	C₂×C₈	—	43	1	no	—
334	C₂×C₈	—	43	1	no	—
335	C₂×C₈	—	86	2	no	—
336	C₂×C₈	—	86	1	no	—
337	C₂×C₈	—	86	2	no	—
338	C₂×C₈	—	344	2	no	—
339	C₂×C₈	—	172	1	no	—
340	C₂×C₈	—	172	2	no	—
341	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
342	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
343	C₄⋊C₄	—	2	1	no	—
344	C₄⋊C₄	—	2	2	no	—
345	C₄⋊C₄	—	2	2	no	—
346	C₄⋊C₄	—	43	1	no	—
347	C₄⋊C₄	—	86	1	no	—
348	C₄⋊C₄	—	86	1	no	—
349	C₄⋊C₄	—	86	1	no	—
350	C₄⋊C₄	—	86	2	no	—
351	C₄⋊C₄	—	86	2	no	—
352	C₄⋊C₄	—	172	2	no	—
353	C₄⋊C₄	—	172	2	no	—
354	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
355	C₂²⋊C₄	—	86	1	no	—
356	C₂²⋊C₄	—	86	1	no	—
357	C₂²⋊C₄	—	86	1	no	—
358	C₂²⋊C₄	—	86	1	no	—
359	C₂²⋊C₄	—	86	1	no	—
360	C₂²⋊C₄	—	172	2	no	—
361	C₄²	—	2	1	no	—
362	C₄²	—	43	1	no	—
363	C₄²	—	43	1	no	—
364	C₄²	—	43	1	no	—
365	C₄²	—	172	2	no	—
366	C₄²	C₂³×D₄₃	1	1	yes	characteristic
367	C₂³	—	43	1	no	—
368	C₂³	—	86	1	no	—
369	Q₈	—	2	1	no	—
370	Q₈	—	2	1	no	—
371	Q₈	—	4	2	no	—
372	Q₈	—	4	2	no	—
373	Q₈	—	172	2	no	—
374	Q₈	—	172	2	no	—
375	D₄	—	86	1	no	—
376	D₄	—	86	1	no	—
377	D₄	—	172	2	no	—
378	C₂×C₄	—	2	1	no	—
379	C₂×C₄	—	2	1	no	—
380	C₂×C₄	—	4	2	no	—
381	C₂×C₄	—	43	1	no	—
382	C₂×C₄	—	43	1	no	—
383	C₂×C₄	—	43	1	no	—
384	C₂×C₄	—	86	2	no	—
385	C₂×C₄	—	86	1	no	—
386	C₂×C₄	—	86	1	no	—
387	C₂×C₄	—	86	1	no	—
388	C₂×C₄	—	86	1	no	—
389	C₂×C₄	—	86	1	no	—
390	C₂×C₄	—	172	2	no	—
391	C₂×C₄	—	172	1	no	—
392	C₂×C₄	—	172	1	no	—
393	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
394	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
395	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
396	C₈	—	2	1	no	—
397	C₈	—	4	1	no	—
398	C₈	—	4	2	no	—
399	C₈	—	86	1	no	—
400	C₈	—	86	1	no	—
401	C₈	—	172	1	no	—
402	C₈	—	172	2	no	—
403	C₈	#13063348	1	2	yes	—
404	C₂²	—	43	2	no	—
405	C₂²	—	86	1	no	—
406	C₂²	—	86	1	no	—
407	C₂²	—	172	1	no	—
408	C₂²	—	172	1	no	—
409	C₂²	—	172	1	no	—
410	C₂²	#121×D₄₃	1	1	yes	characteristic
411	C₄	—	2	1	no	—
412	C₄	—	4	1	no	—
413	C₄	—	4	1	no	—
414	C₄	—	8	2	no	—
415	C₄	—	86	1	no	—
416	C₄	—	86	1	no	—
417	C₄	—	86	1	no	—
418	C₄	—	344	2	no	—
419	C₄	—	172	1	no	—
420	C₄	C₂×#13063348	1	1	yes	characteristic
421	C₄	#14583698	1	1	yes	characteristic
422	C₄	#14583700	1	1	yes	characteristic
423	C₄	#14583713	1	1	yes	characteristic
424	C₂	—	86	2	no	—
425	C₂	—	344	1	no	—
426	C₂	#19144053	1	1	yes	characteristic
427	C₂	#19144260	1	1	yes	characteristic
428	C₂	#473×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#121×D₄₃
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#1674	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	#13063300	D₄
hypercenter	#1674	D₄₃
hypocenter	C₄₃	#19223
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #1674

Complements

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

N	H ≅ G/N	type
2. #19145182	C₂	semidirect
4. #19134151	C₂	semidirect
5. #19134145	C₂	semidirect
6. #19133981	C₂	semidirect
7. #19133965	C₂	semidirect
8. #19133961	C₂	semidirect
9. #335×D₄₃	C₂	semidirect
10. #19133294	C₂	semidirect
11. C₄₃×#1674	C₂	semidirect
215. #1674	D₄₃	semidirect
261. C₄₃	#19223	semidirect

Maximal subgroups

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

subgroup	index
#19145930	2
#19145182	2
#19143572	2
#19134151	2
#19134145	2
#19133981	2
#19133965	2
#19133961	2
#335×D₄₃	2
#19133294	2
C₄₃×#1674	2
#19223	43