Subgroups — #33242777

Order 18688.

668 conjugacy classes of subgroups.

The subgroup lattice has 424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623072	C₂	1	1	yes	maximal, characteristic, complemented
2	#22623068	C₂	1	1	yes	maximal, characteristic, complemented
3	#22621729	C₂	1	2	yes	maximal, complemented
4	#22612179	C₂	1	1	yes	maximal, characteristic, complemented
5	#22612052	C₂	1	1	yes	maximal, characteristic, complemented
6	#22612006	C₂	1	2	yes	maximal, complemented
7	#22611891	C₂	1	2	yes	maximal, complemented
8	#22611886	C₂	1	2	yes	maximal, complemented
9	#22611811	C₂	1	1	yes	maximal, characteristic, complemented
10	#22611766	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#2221	C₂	1	1	yes	maximal, characteristic, complemented
12	#17989392	C₂²	1	2	yes	complemented
13	#17989391	—	2	2	no	—
14	#17989388	C₂²	1	2	yes	complemented
15	#17989025	—	2	2	no	—
16	#17989025	C₂²	1	2	yes	complemented
17	#17989023	C₂²	1	2	yes	complemented
18	#17989021	—	2	2	no	—
19	#17989019	—	2	1	no	—
20	#17989019	C₂²	1	1	yes	characteristic
21	#17989016	—	2	1	no	—
22	C₂×D₁₁₆₈	—	2	1	no	—
23	C₂×D₁₁₆₈	C₂²	1	1	yes	characteristic, complemented
24	C₂×#14556532	C₂²	1	2	yes	complemented
25	D₁₆×D₇₃	—	2	1	no	—
26	#17989003	C₂²	1	1	yes	characteristic, complemented
27	#17988962	C₂²	1	2	yes	complemented
28	#17988858	C₂²	1	2	yes	complemented
29	#17988856	—	2	2	no	—
30	#17988757	—	2	2	no	—
31	#17988753	—	2	2	no	—
32	#17988703	C₂²	1	2	yes	complemented
33	#17988702	C₂²	1	1	yes	characteristic
34	#17988407	C₂²	1	1	yes	characteristic, complemented
35	#17988399	C₂²	1	2	yes	complemented
36	#17988393	C₂²	1	2	yes	complemented
37	#17988372	C₂²	1	1	yes	characteristic, complemented
38	#17988371	C₂²	1	1	yes	characteristic, complemented
39	C₁₆×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
41	#504×C₇₃	C₂²	1	1	yes	characteristic, complemented
42	#472×C₇₃	C₂²	1	2	yes	complemented
43	#368×C₇₃	C₂²	1	1	yes	characteristic, complemented
44	#361×C₇₃	C₂²	1	2	yes	complemented
45	#14556637	—	2	2	no	—
46	#14556636	—	2	2	no	—
47	#14556619	—	2	2	no	—
48	#14556619	—	2	2	no	—
49	#14556619	—	4	2	no	—
50	#14556618	—	4	2	no	—
51	#14556617	—	2	2	no	—
52	#14556615	—	4	2	no	—
53	#14556615	—	4	2	no	—
54	#14556613	—	2	2	no	—
55	#14556613	C₂³	1	2	yes	—
56	#14556612	—	4	2	no	—
57	#14556611	D₄	1	1	yes	characteristic
58	#14556610	—	2	2	no	—
59	C₂×D₅₈₄	—	2	2	no	—
60	C₂×D₅₈₄	C₂³	1	2	yes	—
61	C₂×#11924013	—	2	2	no	—
62	D₈×D₇₃	—	2	2	no	—
63	D₈×D₇₃	—	4	2	no	—
64	#14556599	—	2	2	no	—
65	#14556597	C₂³	1	1	yes	characteristic
66	#14556587	—	2	2	no	—
67	Dic₅₈₄	D₄	1	1	yes	characteristic, complemented
68	#14556536	—	2	2	no	—
69	#14556536	D₄	1	2	yes	complemented
70	#14556535	—	2	2	no	—
71	D₁₁₆₈	—	2	2	no	—
72	D₁₁₆₈	—	2	1	no	—
73	D₁₁₆₈	—	2	1	no	—
74	D₁₁₆₈	D₄	1	1	yes	characteristic, complemented
75	#14556532	—	2	2	no	—
76	#14556532	—	4	2	no	—
77	#14556531	C₂³	1	1	yes	characteristic
78	#14556530	—	2	1	no	—
79	C₂×#11924003	C₂³	1	1	yes	characteristic
80	C₁₆×D₇₃	—	2	1	no	—
81	#14556526	D₄	1	1	yes	characteristic
82	#14556518	D₄	1	1	yes	characteristic
83	#14556517	—	2	2	no	—
84	#14556517	D₄	1	1	yes	characteristic
85	#14556507	—	2	2	no	—
86	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
87	AGL(1,ℤ/8)×C₇₃	—	2	2	no	—
88	C₂×D₈×C₇₃	C₂³	1	2	yes	—
89	#131×C₇₃	C₂³	1	1	yes	characteristic
90	D₁₆×C₇₃	—	2	1	no	—
91	D₁₆×C₇₃	—	2	1	no	—
92	M₃₂×C₇₃	—	2	1	no	—
93	M₃₂×C₇₃	C₂³	1	1	yes	characteristic
94	C₂×C₁₆×C₇₃	—	2	1	no	—
95	C₂×C₁₆×C₇₃	C₂³	1	1	yes	characteristic
96	#108×C₇₃	C₂³	1	2	yes	—
97	#100×C₇₃	—	2	2	no	—
98	#11924029	—	4	2	no	—
99	#11924028	—	2	2	no	—
100	#11924028	—	4	2	no	—
101	#11924028	C₂×D₄	1	1	yes	characteristic
102	#11924027	—	4	2	no	—
103	#11924027	—	4	2	no	—
104	C₂×D₂₉₂	—	2	2	no	—
105	C₂×D₂₉₂	—	4	2	no	—
106	C₂×C₂²⋊D₇₃	—	8	2	no	—
107	C₂×C₂²⋊D₇₃	—	8	2	no	—
108	D₄×D₇₃	—	4	2	no	—
109	D₄×D₇₃	—	4	2	no	—
110	D₄×D₇₃	—	4	2	no	—
111	D₄×D₇₃	—	8	2	no	—
112	Dic₂₉₂	C₂×D₄	1	2	yes	—
113	#11924018	D₈	1	1	yes	characteristic
114	#11924017	—	2	2	no	—
115	#11924017	—	4	2	no	—
116	#11924017	—	4	2	no	—
117	#11924016	—	4	2	no	—
118	#11924016	D₈	1	1	yes	characteristic
119	#11924015	D₈	1	1	yes	characteristic
120	D₅₈₄	—	2	2	no	—
121	D₅₈₄	—	2	2	no	—
122	D₅₈₄	—	4	2	no	—
123	D₅₈₄	—	4	2	no	—
124	D₅₈₄	C₂×D₄	1	2	yes	—
125	#11924013	—	4	2	no	—
126	#11924013	—	4	2	no	—
127	#11924013	—	4	2	no	—
128	#11924013	D₈	1	1	yes	characteristic
129	#11924012	C₂×D₄	1	1	yes	characteristic
130	#11924011	—	2	1	no	—
131	#11924011	—	4	2	no	—
132	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
133	C₈×D₇₃	—	2	1	no	—
134	C₈×D₇₃	—	4	2	no	—
135	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
136	#11924003	—	2	1	no	—
137	#11924003	—	2	1	no	—
138	#41×C₇₃	C₂×D₄	1	1	yes	characteristic
139	C₂×D₄×C₇₃	—	2	2	no	—
140	SD₁₆×C₇₃	—	4	2	no	—
141	D₈×C₇₃	—	2	2	no	—
142	D₈×C₇₃	—	2	2	no	—
143	D₈×C₇₃	—	4	2	no	—
144	M₁₆×C₇₃	—	2	1	no	—
145	M₁₆×C₇₃	—	2	2	no	—
146	M₁₆×C₇₃	C₂×D₄	1	1	yes	characteristic
147	C₂×C₈×C₇₃	—	2	1	no	—
148	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
149	C₁₆×C₇₃	—	2	1	no	—
150	C₁₆×C₇₃	C₂×D₄	1	1	yes	characteristic
151	C₁₆×C₇₃	C₂×D₄	1	1	yes	characteristic
152	C₂³×C₇₃	—	4	2	no	—
153	C₂²×D₇₃	—	4	2	no	—
154	C₂²×D₇₃	—	8	2	no	—
155	C₂²×D₇₃	—	8	2	no	—
156	Q₈×C₇₃	C₂×D₈	1	1	yes	characteristic
157	D₄×C₇₃	—	2	1	no	—
158	D₄×C₇₃	—	4	2	no	—
159	D₄×C₇₃	—	4	2	no	—
160	D₄×C₇₃	C₂×D₈	1	1	yes	characteristic
161	C₂×C₄×C₇₃	—	2	1	no	—
162	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
163	C₂²⋊D₇₃	—	2	1	no	—
164	C₂²⋊D₇₃	—	4	2	no	—
165	C₂²⋊D₇₃	—	8	2	no	—
166	C₂²⋊D₇₃	—	8	2	no	—
167	C₂²⋊D₇₃	—	8	2	no	—
168	C₂²⋊D₇₃	—	16	4	no	—
169	C₂×Dic₇₃	—	2	1	no	—
170	C₂×Dic₇₃	—	8	2	no	—
171	D₂₉₂	—	2	2	no	—
172	D₂₉₂	—	4	2	no	—
173	D₂₉₂	—	4	2	no	—
174	D₂₉₂	—	8	2	no	—
175	D₂₉₂	C₂×D₈	1	1	yes	characteristic
176	C₄×D₇₃	—	2	1	no	—
177	C₄×D₇₃	—	4	2	no	—
178	C₄×D₇₃	—	8	2	no	—
179	Dic₁₄₆	—	2	2	no	—
180	Dic₁₄₆	C₂×D₈	1	1	yes	characteristic
181	C₈×C₇₃	—	2	1	no	—
182	C₈×C₇₃	—	4	2	no	—
183	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
184	C₈×C₇₃	H(5,𝔽₂)	1	1	yes	characteristic
185	#10596831	—	2	1	no	—
186	#10596831	C₂×D₈	1	1	yes	characteristic
187	#10596831	C₂×D₈	1	1	yes	characteristic
188	C₂²×C₇₃	—	2	1	no	—
189	C₂²×C₇₃	—	8	2	no	—
190	C₂²×C₇₃	—	16	2	no	—
191	C₂²×C₇₃	#576	1	1	yes	characteristic
192	C₂×D₇₃	—	2	1	no	—
193	C₂×D₇₃	—	4	2	no	—
194	C₂×D₇₃	—	8	2	no	—
195	C₂×D₇₃	—	16	2	no	—
196	C₂×D₇₃	—	32	2	no	—
197	C₂×D₇₃	—	32	2	no	—
198	C₄×C₇₃	—	2	1	no	—
199	C₄×C₇₃	D₄²	1	1	yes	characteristic
200	C₄×C₇₃	C₂²×D₈	1	1	yes	characteristic
201	Dic₇₃	—	2	2	no	—
202	Dic₇₃	—	2	1	no	—
203	Dic₇₃	—	4	2	no	—
204	#33858	—	73	1	no	maximal, Sylow
205	C₂×C₇₃	—	2	1	no	—
206	C₂×C₇₃	—	4	1	no	—
207	C₂×C₇₃	—	16	2	no	—
208	C₂×C₇₃	D₄×D₈	1	1	yes	characteristic
209	D₇₃	—	4	1	no	—
210	D₇₃	—	8	2	no	—
211	D₇₃	—	16	2	no	—
212	#3415	—	73	1	no	—
213	#3415	—	73	1	no	—
214	#3292	—	73	2	no	—
215	#2246	—	73	1	no	—
216	#2221	—	73	1	no	—
217	#2221	D₇₃	1	1	yes	characteristic, complemented
218	#2213	—	73	2	no	—
219	#2192	—	73	2	no	—
220	#2192	—	73	2	no	—
221	#2178	—	73	1	no	—
222	#2170	—	73	1	no	—
223	C₇₃	#33858	1	1	yes	characteristic, complemented, Sylow
224	#576	—	73	2	no	—
225	#576	—	73	2	no	—
226	#576	—	146	2	no	—
227	#509	—	73	2	no	—
228	#509	—	73	2	no	—
229	#509	—	146	2	no	—
230	#509	—	146	2	no	—
231	#508	—	73	1	no	—
232	#508	—	146	1	no	—
233	#508	—	146	1	no	—
234	C₂×D₁₆	—	73	2	no	—
235	C₂×D₁₆	—	73	1	no	—
236	C₂×D₁₆	—	146	1	no	—
237	C₂×D₁₆	—	146	1	no	—
238	C₂×D₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
239	#504	—	73	1	no	—
240	#504	C₂×D₇₃	1	1	yes	characteristic, complemented
241	#493	—	73	2	no	—
242	#472	—	73	2	no	—
243	#472	—	146	2	no	—
244	#472	C₂×D₇₃	1	2	yes	complemented
245	#453	—	146	2	no	—
246	#453	—	146	2	no	—
247	#443	—	73	1	no	—
248	#443	—	73	2	no	—
249	#368	C₂×D₇₃	1	1	yes	characteristic, complemented
250	#364	—	73	1	no	—
251	#361	—	73	2	no	—
252	#361	C₂×D₇₃	1	2	yes	complemented
253	#359	—	73	2	no	—
254	#350	—	73	1	no	—
255	#350	—	73	1	no	—
256	C₄×C₁₆	—	73	1	no	—
257	H(5,𝔽₂)	—	146	2	no	—
258	H(5,𝔽₂)	—	146	2	no	—
259	AGL(1,ℤ/8)	—	2	2	no	—
260	AGL(1,ℤ/8)	—	292	2	no	—
261	AGL(1,ℤ/8)	—	292	2	no	—
262	AGL(1,ℤ/8)	—	292	2	no	—
263	AGL(1,ℤ/8)	—	292	2	no	—
264	AGL(1,ℤ/8)	—	146	2	no	—
265	AGL(1,ℤ/8)	—	146	2	no	—
266	AGL(1,ℤ/8)	—	146	2	no	—
267	#135	—	292	2	no	—
268	#135	—	73	1	no	—
269	#135	—	73	2	no	—
270	#135	—	146	2	no	—
271	#135	—	146	2	no	—
272	C₂×D₈	—	292	2	no	—
273	C₂×D₈	—	73	2	no	—
274	C₂×D₈	—	146	2	no	—
275	C₂×D₈	—	146	2	no	—
276	C₂×D₈	—	146	2	no	—
277	C₂×D₈	C₂²×D₇₃	1	2	yes	—
278	#131	—	73	1	no	—
279	#131	—	146	2	no	—
280	#131	C₂²×D₇₃	1	1	yes	characteristic
281	#127	—	146	2	no	—
282	Q₃₂	—	73	1	no	—
283	SD₃₂	—	73	2	no	—
284	SD₃₂	—	146	2	no	—
285	SD₃₂	—	146	2	no	—
286	D₁₆	—	2	1	no	—
287	D₁₆	—	2	1	no	—
288	D₁₆	—	292	2	no	—
289	D₁₆	—	73	1	no	—
290	D₁₆	—	146	2	no	—
291	D₁₆	—	146	2	no	—
292	D₁₆	—	146	1	no	—
293	D₁₆	—	146	1	no	—
294	M₃₂	—	2	1	no	—
295	M₃₂	—	73	1	no	—
296	M₃₂	—	146	1	no	—
297	M₃₂	C₂²×D₇₃	1	1	yes	characteristic
298	C₂×C₁₆	—	2	1	no	—
299	C₂×C₁₆	—	73	1	no	—
300	C₂×C₁₆	—	146	1	no	—
301	C₂×C₁₆	C₂²×D₇₃	1	1	yes	characteristic
302	#108	—	73	1	no	—
303	#108	C₂²×D₇₃	1	2	yes	—
304	#104	—	73	1	no	—
305	#104	—	73	1	no	—
306	#104	—	146	2	no	—
307	#100	—	2	2	no	—
308	#100	—	146	2	no	—
309	C₄×C₈	—	73	1	no	—
310	#41	—	292	2	no	—
311	#41	—	292	2	no	—
312	#41	—	292	2	no	—
313	#41	—	292	2	no	—
314	#41	—	73	1	no	—
315	#41	—	146	2	no	—
316	#41	D₄×D₇₃	1	1	yes	characteristic
317	C₂×D₄	—	2	2	no	—
318	C₂×D₄	—	292	2	no	—
319	C₂×D₄	—	292	2	no	—
320	C₂×D₄	—	292	2	no	—
321	C₂×D₄	—	292	2	no	—
322	C₂×D₄	—	584	2	no	—
323	C₂×D₄	—	584	2	no	—
324	C₂×D₄	—	584	2	no	—
325	C₂×D₄	—	146	2	no	—
326	Q₁₆	—	73	1	no	—
327	Q₁₆	—	73	2	no	—
328	SD₁₆	—	4	2	no	—
329	SD₁₆	—	292	2	no	—
330	SD₁₆	—	292	2	no	—
331	SD₁₆	—	292	2	no	—
332	SD₁₆	—	73	1	no	—
333	SD₁₆	—	73	1	no	—
334	SD₁₆	—	146	2	no	—
335	D₈	—	2	2	no	—
336	D₈	—	2	2	no	—
337	D₈	—	4	2	no	—
338	D₈	—	292	2	no	—
339	D₈	—	292	2	no	—
340	D₈	—	292	2	no	—
341	D₈	—	292	2	no	—
342	D₈	—	292	2	no	—
343	D₈	—	73	1	no	—
344	D₈	—	73	2	no	—
345	D₈	—	146	2	no	—
346	D₈	—	146	2	no	—
347	M₁₆	—	2	1	no	—
348	M₁₆	—	2	2	no	—
349	M₁₆	—	292	2	no	—
350	M₁₆	—	73	1	no	—
351	M₁₆	—	146	1	no	—
352	M₁₆	D₄×D₇₃	1	1	yes	characteristic
353	C₂×C₈	—	2	1	no	—
354	C₂×C₈	—	292	2	no	—
355	C₂×C₈	—	73	1	no	—
356	C₂×C₈	—	146	1	no	—
357	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
358	C₄²	—	73	1	no	—
359	C₁₆	—	2	1	no	—
360	C₁₆	—	146	1	no	—
361	C₁₆	—	146	1	no	—
362	C₁₆	D₄×D₇₃	1	1	yes	characteristic
363	C₁₆	D₄×D₇₃	1	1	yes	characteristic
364	C₂³	—	4	2	no	—
365	C₂³	—	292	2	no	—
366	C₂³	—	584	2	no	—
367	C₂³	—	584	2	no	—
368	Q₈	—	73	1	no	—
369	Q₈	—	146	2	no	—
370	Q₈	D₈×D₇₃	1	1	yes	characteristic
371	D₄	—	2	1	no	—
372	D₄	—	4	2	no	—
373	D₄	—	4	2	no	—
374	D₄	—	292	2	no	—
375	D₄	—	292	2	no	—
376	D₄	—	292	2	no	—
377	D₄	—	584	2	no	—
378	D₄	—	584	2	no	—
379	D₄	—	584	2	no	—
380	D₄	—	584	2	no	—
381	D₄	—	73	1	no	—
382	D₄	—	1168	4	no	—
383	D₄	—	146	1	no	—
384	D₄	—	146	2	no	—
385	D₄	D₈×D₇₃	1	1	yes	characteristic
386	C₂×C₄	—	2	1	no	—
387	C₂×C₄	—	292	2	no	—
388	C₂×C₄	—	584	2	no	—
389	C₂×C₄	—	584	2	no	—
390	C₂×C₄	—	146	1	no	—
391	C₂×C₄	—	146	1	no	—
392	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
393	C₈	—	2	1	no	—
394	C₈	—	4	2	no	—
395	C₈	—	73	1	no	—
396	C₈	—	73	1	no	—
397	C₈	—	146	1	no	—
398	C₈	C₂×D₄×D₇₃	1	1	yes	characteristic
399	C₈	#14556637	1	1	yes	characteristic
400	C₂²	—	2	1	no	—
401	C₂²	—	8	2	no	—
402	C₂²	—	16	2	no	—
403	C₂²	—	2336	2	no	—
404	C₂²	—	2336	2	no	—
405	C₂²	—	292	2	no	—
406	C₂²	—	584	2	no	—
407	C₂²	—	1168	2	no	—
408	C₂²	—	146	1	no	—
409	C₂²	#17989389	1	1	yes	characteristic
410	C₄	—	2	1	no	—
411	C₄	—	292	2	no	—
412	C₄	—	146	2	no	—
413	C₄	—	146	1	no	—
414	C₄	#17989221	1	1	yes	characteristic
415	C₄	C₂×D₈×D₇₃	1	1	yes	characteristic
416	C₂	—	2	1	no	—
417	C₂	—	4	1	no	—
418	C₂	—	16	2	no	—
419	C₂	—	292	1	no	—
420	C₂	—	584	2	no	—
421	C₂	—	1168	2	no	—
422	C₂	#22621605	1	1	yes	characteristic

	subgroup	G/H
center	C₂	#22621605
commutator, cosocle	C₂×C₈×C₇₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₇₃
Fitting	C₇₃×#2221	C₂
socle	C₂×C₇₃	D₄×D₈
hypercenter	#2221	D₇₃
hypocenter	C₇₃	#33858
LCS	G ▷ C₂×C₈×C₇₃ ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #131 ◁ #2221

Complements

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

N	H ≅ G/N	type
1. #22623072	C₂	semidirect
2. #22623068	C₂	semidirect
3. #22621729	C₂	semidirect
4. #22612179	C₂	semidirect
5. #22612052	C₂	semidirect
6. #22612006	C₂	semidirect
7. #22611891	C₂	semidirect
8. #22611886	C₂	semidirect
9. #22611811	C₂	semidirect
10. #22611766	C₂	semidirect
11. C₇₃×#2221	C₂	semidirect
12. #17989392	C₂²	semidirect
14. #17989388	C₂²	semidirect
16. #17989025	C₂²	semidirect
17. #17989023	C₂²	semidirect
23. C₂×D₁₁₆₈	C₂²	semidirect
24. C₂×#14556532	C₂²	semidirect
26. #17989003	C₂²	semidirect
27. #17988962	C₂²	semidirect
28. #17988858	C₂²	semidirect
32. #17988703	C₂²	semidirect
34. #17988407	C₂²	semidirect
35. #17988399	C₂²	semidirect
36. #17988393	C₂²	semidirect
37. #17988372	C₂²	semidirect
38. #17988371	C₂²	semidirect
39. C₁₆×Dic₇₃	C₂²	semidirect
40. C₂×D₁₆×C₇₃	C₂²	semidirect
41. #504×C₇₃	C₂²	semidirect
42. #472×C₇₃	C₂²	semidirect
43. #368×C₇₃	C₂²	semidirect
44. #361×C₇₃	C₂²	semidirect
67. Dic₅₈₄	D₄	semidirect
69. #14556536	D₄	semidirect
74. D₁₁₆₈	D₄	semidirect
217. #2221	D₇₃	semidirect
223. C₇₃	#33858	semidirect
238. C₂×D₁₆	C₂×D₇₃	semidirect
240. #504	C₂×D₇₃	semidirect
244. #472	C₂×D₇₃	semidirect
249. #368	C₂×D₇₃	semidirect
252. #361	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22623072	2
#22623068	2
#22621729	2
#22612179	2
#22612052	2
#22612006	2
#22611891	2
#22611886	2
#22611811	2
#22611766	2
C₇₃×#2221	2
#33858	73