Finite Group Databasebeta

← #10982984

Subgroups — #10982984

Order 768.

2314 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5827C211yesmaximal, characteristic, complemented
2C2×#5542C211yesmaximal, characteristic, complemented
3C3×#2388C211yesmaximal, characteristic
4#84094C211yesmaximal, characteristic, complemented
5#82374C211yesmaximal, characteristic, complemented
6#82351C212yesmaximal, complemented
7#82335C212yesmaximal, complemented
8#77191C212yesmaximal, complemented
9#76918C214yesmaximal, complemented
10#76893C212yesmaximal, complemented
11#76806C212yesmaximal, complemented
12#76704C212yesmaximal, complemented
13#76679C214yesmaximal, complemented
14#73518C211yesmaximal, characteristic, complemented
15#73492C212yesmaximal, complemented
16#73465C212yesmaximal, complemented
17#73459C211yesmaximal, characteristic, complemented
18#35759—31nomaximal, Sylow
19C22×C3×#41C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4×D4C2212yes—
22#5827—28no—
23C2×Q8×Dic3C2212yes—
24C2×#936C2212yes—
25C2×D4×Dic3C2212yes—
26C2×D4×Dic3C2214yes—
27C2×#926C2211yescharacteristic
28C2×#926C2212yes—
29C2×#926C2211yescharacteristic
30C22×C4⋊Dic3C2211yescharacteristic
31C22×C4⋊Dic3C2212yes—
32C2×#924C2211yescharacteristic
33C2×#924C2211yescharacteristic
34C2×#924C2212yes—
35#5542—28no—
36C2×#887C2212yes—
37C2×#879C2212yes—
38C2×#879C2212yes—
39C2×#869C2211yescharacteristic
40C2×C4×Dic6C2211yescharacteristic
41C3×#395C2211yescharacteristic
42C3×#394C2211yescharacteristic
43C3×#394C2212yes—
44C3×#393C2211yescharacteristic
45C3×#392C2212yes—
46C3×#392C2211yescharacteristic
47C3×C4×C22⋊C4C2212yes—
48C3×C4×C22⋊C4C2211yescharacteristic
49#5230C2212yes—
50#5222C2212yes—
51#5222C2214yes—
52#5222C2214yes—
53#5220C2212yes—
54#5220C2214yes—
55#5212C2212yes—
56#5212C2211yescharacteristic
57#5212C2212yes—
58#4986C2212yes—
59#4980C2214yes—
60#4976C2214yes—
61#4952C2214yes—
62#4951C2214yes—
63#4949C2212yes—
64#4948C2214yes—
65#4947C2214yes—
66#4946C2212yes—
67#4946C2214yes—
68#4945C2214yes—
69#4944C2214yes—
70#4943C2214yes—
71Dic3×C22⋊C4C2214yes—
72Dic3×C22⋊C4C2214yes—
73#4936C2212yes—
74C4×C4⋊Dic3C2212yes—
75#4929C2212yes—
76#4928C2212yes—
77#4928C2212yes—
78#4659C2212yes—
79#4659C2212yes—
80#4655C2214yes—
81#4655C2214yes—
82#4650C2212yes—
83#4648C2212yes—
84#4647C2214yes—
85#4646C2214yes—
86C2×#556—31no—
87C2×#520—31no—
88#2636—32no—
89#2616—31no—
90#2604—32no—
91#2581—32no—
92#2503—31no—
93#2487—31no—
94#2466—34no—
95#2459—34no—
96#2439—32no—
97#2415—32no—
98#2398—32no—
99#2388D311yescharacteristic
100#2360—32no—
101#2352—32no—
102#2346—31no—
103C2×C3×#41—24no—
104C2×C3×#41—28no—
105C22×C3×Q8C2311yescharacteristic
106C22×C3×D4C2311yescharacteristic
107C22×C3×D4C2312yes—
108C22×C3×D4C2311yescharacteristic
109C22×C3×D4C2312yes—
110C23×C3×C4C2311yescharacteristic
111C23×C3×C4C2311yescharacteristic
112C23×C3×C4C2312yes—
113C23×Dic3C2314yes—
114C23×Dic3C2312yes—
115C22×Dic6C2311yescharacteristic
116C22×Dic6C2312yes—
117C3×C4×D4—24no—
118C3×C4×D4—28no—
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C4⋊C4C2311yescharacteristic
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2312yes—
123C2×C3×C22⋊C4C2312yes—
124C2×C3×C22⋊C4C2311yescharacteristic
125C2×C3×C22⋊C4C2311yescharacteristic
126C2×C3×C22⋊C4C2312yes—
127C2×C3×C22⋊C4C2312yes—
128C2×C3×C42C2311yescharacteristic
129C2×C3×C42C2312yes—
130C2×#217C2314yes—
131C2×#217C2312yes—
132C2×#217C2312yes—
133C2×#217C2314yes—
134C2×#217C2312yes—
135C2×#217C2314yes—
136C2×#217C2312yes—
137C2×#217C2314yes—
138C2×#217C2312yes—
139Q8×Dic3—28no—
140#936—28no—
141D4×Dic3—216no—
142D4×Dic3—28no—
143#926—24no—
144#926—28no—
145#926D418yescomplemented
146C2×C4⋊Dic3—24no—
147C2×C4⋊Dic3—28no—
148C2×C4⋊Dic3C2314yes—
149C2×C4⋊Dic3C2312yes—
150C2×C4⋊Dic3C2312yes—
151C2×C4⋊Dic3C2312yes—
152C2×C4⋊Dic3C2312yes—
153C2×C4⋊Dic3C2311yescharacteristic
154C2×C4⋊Dic3C2311yescharacteristic
155C2×C4⋊Dic3C2311yescharacteristic
156#924—24no—
157#924—28no—
158#924—24no—
159C2×Dic3⋊C4C2312yes—
160C2×Dic3⋊C4C2314yes—
161C2×Dic3⋊C4C2312yes—
162C2×Dic3⋊C4C2312yes—
163C2×Dic3⋊C4C2314yes—
164C2×Dic3⋊C4C2314yes—
165C2×C4×Dic3C2314yes—
166C2×C4×Dic3C2312yes—
167C2×C4×Dic3C2312yes—
168C2×C4×Dic3C2314yes—
169C2×C4×Dic3C2312yes—
170#887—28no—
171#879—28no—
172#879—28no—
173#869—24no—
174C4×Dic6—24no—
175C3×#95C2312yes—
176C3×#95C2312yes—
177C3×#95C2311yescharacteristic
178C3×#95C2311yescharacteristic
179C3⋊#95C2314yes—
180C3⋊#95C2314yes—
181C3⋊#95C2314yes—
182C3⋊#95C2314yes—
183C3⋊#95C2312yes—
184C3⋊#95C2314yes—
185C3⋊#95C2314yes—
186C3⋊#95C2314yes—
187C3⋊#95C2314yes—
188C3⋊#95C2314yes—
189C22×#41C2×D311yescharacteristic
190#556—68no—
191C2×C4⋊Q8—31no—
192C2×#126—32no—
193C2×#126—32no—
194C2×#124—32no—
195C2×C22⋊Q8—32no—
196C2×C22⋊Q8—31no—
197C2×C22⋊Q8—31no—
198#520—68no—
199C2×C4×Q8—32no—
200C2×C4×Q8—32no—
201C2×C4×Q8—31no—
202C2×C4×D4—32no—
203C2×C4×D4—34no—
204C2×C4×D4C2×D312yes—
205C2×C4×D4C2×D311yescharacteristic
206C2×#117—31no—
207C2×#117—31no—
208C2×#117—32no—
209C22×C4⋊C4—32no—
210C22×C4⋊C4—31no—
211#400—32no—
212#400—32no—
213#400—32no—
214#399—32no—
215#397—34no—
216#396—34no—
217#395—32no—
218#395C2×D311yescharacteristic
219#394—32no—
220#394—34no—
221#394—34no—
222#394C2×D311yescharacteristic
223#394C2×D312yes—
224#393—34no—
225#393C2×D311yescharacteristic
226#392C2×D311yescharacteristic
227#392C2×D312yes—
228#391—32no—
229#391—34no—
230#389—34no—
231#389—32no—
232#389—32no—
233#389—34no—
234#388—34no—
235#388—34no—
236#388—34no—
237#387—34no—
238#387—34no—
239#387—34no—
240#386—34no—
241#386—32no—
242#385—34no—
243#385—32no—
244#382—32no—
245#382—32no—
246#381—34no—
247#380—31no—
248#380—32no—
249#380—32no—
250C4×C4⋊C4—32no—
251C4×C22⋊C4—34no—
252C4×C22⋊C4—34no—
253C4×C22⋊C4C2×D311yescharacteristic
254C4×C22⋊C4C2×D312yes—
255#376—32no—
256C24×C3C2411yescharacteristic
257C24×C3C2411yescharacteristic
258C24×C3C2412yes—
259C3×#41—232no—
260C2×C3×Q8—22no—
261C2×C3×Q8—24no—
262C2×C3×D4—24no—
263C2×C3×D4—24no—
264C2×C3×D4—24no—
265C2×C3×D4—22no—
266C2×C3×D4—24no—
267C2×C3×D4—22no—
268C2×C3×D4—24no—
269C2×C3×D4—22no—
270C2×C3×D4—41no—
271C2×C3×D4—42no—
272C2×C3×D4—42no—
273C22×C3×C4—24no—
274C22×C3×C4—24no—
275C22×C3×C4—24no—
276C22×C3×C4—22no—
277C22×C3×C4—24no—
278C22×C3×C4C2×D414yes—
279C22×C3×C4#4118yes—
280C22×C3×C4C2412yes—
281C22×C3×C4C2412yes—
282C22×C3×C4C2411yescharacteristic
283C22×C3×C4C2411yescharacteristic
284C22×C3×C4C2411yescharacteristic
285C22×C3×C4C2412yes—
286C22×C3×C4C2411yescharacteristic
287C22×C3×C4C2411yescharacteristic
288C22×Dic3—24no—
289C22×Dic3—28no—
290C22×Dic3—44no—
291C22×Dic3—44no—
292C22×Dic3—44no—
293C22×Dic3C2414yes—
294C22×Dic3C2414yes—
295C22×Dic3C2412yes—
296C22×Dic3C2412yes—
297C22×Dic3C2412yes—
298C22×Dic3C2412yes—
299C2×Dic6—22no—
300C2×Dic6—24no—
301C2×Dic6—24no—
302C2×Dic6—24no—
303C2×Dic6—42no—
304C3×C4⋊C4—22no—
305C3×C4⋊C4—24no—
306C3×C22⋊C4—22no—
307C3×C22⋊C4—24no—
308C3×C22⋊C4—22no—
309C3×C22⋊C4—24no—
310C3×C22⋊C4—24no—
311C3×C22⋊C4—42no—
312C3×C22⋊C4—42no—
313C3×C42—22no—
314C3×C42—24no—
315#217—24no—
316#217—28no—
317#217—24no—
318#217—24no—
319#217—28no—
320#217—44no—
321#217—42no—
322#217—44no—
323#217C2×D418yes—
324C4⋊Dic3—22no—
325C4⋊Dic3—24no—
326C4⋊Dic3—24no—
327C4⋊Dic3—24no—
328C4⋊Dic3—24no—
329C4⋊Dic3—28no—
330C4⋊Dic3C2×D414yes—
331C4⋊Dic3C2×D414yes—
332Dic3⋊C4—24no—
333Dic3⋊C4—28no—
334Dic3⋊C4—24no—
335Dic3⋊C4—24no—
336Dic3⋊C4—44no—
337Dic3⋊C4—44no—
338C4×Dic3—24no—
339C4×Dic3—24no—
340C4×Dic3—28no—
341C4×Dic3—44no—
342C4×Dic3C2×D418yes—
343C2×#41—24no—
344C2×#41—28no—
345C22×Q8—31no—
346C22×Q8—32no—
347C22×Q8C22×D311yescharacteristic
348C22×D4C22×D311yescharacteristic
349C22×D4C22×D312yes—
350C22×D4C22×D311yescharacteristic
351C22×D4C22×D312yes—
352C23×C4—34no—
353C23×C4—32no—
354C23×C4C22×D311yescharacteristic
355C23×C4C22×D311yescharacteristic
356C23×C4C22×D312yes—
357C4⋊Q8—64no—
358#126—68no—
359#126—68no—
360#124—68no—
361C22⋊Q8—64no—
362C22⋊Q8—64no—
363C22⋊Q8—68no—
364C4×Q8—64no—
365C4×Q8—68no—
366C4×Q8—68no—
367C4×D4—24no—
368C4×D4—28no—
369C4×D4—68no—
370C4×D4—616no—
371#117—38no—
372#117—68no—
373#117—64no—
374C2×C4⋊C4—31no—
375C2×C4⋊C4—31no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—34no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—32no—
381C2×C4⋊C4—32no—
382C2×C4⋊C4—32no—
383C2×C4⋊C4—32no—
384C2×C4⋊C4—34no—
385C2×C4⋊C4—32no—
386C2×C4⋊C4—34no—
387C2×C4⋊C4—34no—
388C2×C4⋊C4—68no—
389C2×C4⋊C4—64no—
390C2×C4⋊C4C22×D311yescharacteristic
391C2×C4⋊C4C22×D312yes—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—34no—
394C2×C22⋊C4—32no—
395C2×C22⋊C4—32no—
396C2×C22⋊C4—32no—
397C2×C22⋊C4—34no—
398C2×C22⋊C4—34no—
399C2×C22⋊C4—32no—
400C2×C22⋊C4—34no—
401C2×C22⋊C4C22×D311yescharacteristic
402C2×C22⋊C4C22×D311yescharacteristic
403C2×C22⋊C4C22×D312yes—
404C2×C22⋊C4C22×D312yes—
405C2×C22⋊C4C22×D312yes—
406C2×C22⋊C4C22×D312yes—
407C2×C22⋊C4C22×D312yes—
408C2×C42—32no—
409C2×C42—34no—
410C2×C42—32no—
411C2×C42—32no—
412C2×C42—34no—
413C2×C42C22×D311yescharacteristic
414C2×C42C22×D312yes—
415#95—32no—
416#95—34no—
417#95—34no—
418#95—34no—
419#95—34no—
420#95—34no—
421#95—34no—
422#95—34no—
423#95—34no—
424#95—34no—
425#95C22×D311yescharacteristic
426#95C22×D311yescharacteristic
427#95C22×D312yes—
428#95C22×D312yes—
429C23×C3—22no—
430C23×C3—22no—
431C23×C3—22no—
432C23×C3—22no—
433C23×C3—21no—
434C23×C3—21no—
435C23×C3—22no—
436C23×C3—22no—
437C23×C3—22no—
438C23×C3—22no—
439C23×C3—21no—
440C23×C3—22no—
441C23×C3—21no—
442C23×C3—22no—
443C23×C3—21no—
444C23×C3C22×D412yes—
445C23×C3C2×#4114yes—
446C23×C3C2511yescharacteristic
447C3×Q8—28no—
448C3×D4—28no—
449C3×D4—216no—
450C3×D4—44no—
451C3×D4—48no—
452C2×C3×C4—22no—
453C2×C3×C4—21no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—21no—
457C2×C3×C4—28no—
458C2×C3×C4—216no—
459C2×C3×C4—21no—
460C2×C3×C4—21no—
461C2×C3×C4—22no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—22no—
465C2×C3×C4—22no—
466C2×C3×C4—22no—
467C2×C3×C4—22no—
468C2×C3×C4—22no—
469C2×C3×C4—44no—
470C2×C3×C4C22×D412yes—
471C2×C3×C4C22×D412yes—
472C2×C3×C4C2×#4114yes—
473C2×C3×C4C2×#4114yes—
474C2×C3×C42−1+412yes—
475C2×Dic3—22no—
476C2×Dic3—24no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—24no—
481C2×Dic3—24no—
482C2×Dic3—24no—
483C2×Dic3—22no—
484C2×Dic3—24no—
485C2×Dic3—24no—
486C2×Dic3—24no—
487C2×Dic3—22no—
488C2×Dic3—24no—
489C2×Dic3—88no—
490C2×Dic3—84no—
491C2×Dic3C22×D414yes—
492C2×Dic3C22×D414yes—
493Dic6—48no—
494Dic6—44no—
495C24C23×D311yescharacteristic
496C24C23×D311yescharacteristic
497C24C23×D312yes—
498#41—232no—
499C2×Q8—22no—
500C2×Q8—24no—
501C2×Q8—64no—
502C2×Q8—62no—
503C2×Q8—64no—
504C2×Q8—64no—
505C2×Q8—122no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—22no—
510C2×D4—24no—
511C2×D4—22no—
512C2×D4—24no—
513C2×D4—22no—
514C2×D4—41no—
515C2×D4—42no—
516C2×D4—42no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—22no—
521C22×C4—24no—
522C22×C4—32no—
523C22×C4—32no—
524C22×C4—34no—
525C22×C4—32no—
526C22×C4—34no—
527C22×C4—32no—
528C22×C4—68no—
529C22×C4—64no—
530C22×C4—124no—
531C22×C4—124no—
532C22×C4—124no—
533C22×C4D3×D414yes—
534C22×C4#23718yes—
535C22×C4C23×D312yes—
536C22×C4C23×D312yes—
537C22×C4C23×D311yescharacteristic
538C22×C4C23×D311yescharacteristic
539C22×C4C23×D311yescharacteristic
540C22×C4C23×D312yes—
541C22×C4C23×D311yescharacteristic
542C22×C4C23×D311yescharacteristic
543C4⋊C4—22no—
544C4⋊C4—24no—
545C4⋊C4—34no—
546C4⋊C4—34no—
547C4⋊C4—68no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—64no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—62no—
554C4⋊C4—64no—
555C4⋊C4—68no—
556C4⋊C4—64no—
557C4⋊C4—124no—
558C4⋊C4—124no—
559C22⋊C4—22no—
560C22⋊C4—24no—
561C22⋊C4—22no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—38no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—68no—
568C22⋊C4—64no—
569C22⋊C4—64no—
570C22⋊C4—64no—
571C22⋊C4—68no—
572C22⋊C4—124no—
573C22⋊C4—122no—
574C22⋊C4—124no—
575C42—22no—
576C42—24no—
577C42—38no—
578C42—68no—
579C42—64no—
580C42—64no—
581C42—124no—
582C22×C3—22no—
583C22×C3—24no—
584C22×C3—22no—
585C22×C3—24no—
586C22×C3—22no—
587C22×C3—24no—
588C22×C3—42no—
589C22×C3—42no—
590C22×C3—42no—
591C22×C3—42no—
592C22×C3—42no—
593C22×C3—42no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—42no—
597C22×C3—41no—
598C22×C3—42no—
599C22×C3C23×D411yescharacteristic
600C22×C3C22×#4112yes—
601C22×C3C2×2−1+411yescharacteristic
602C22×C3#58511yescharacteristic
603C22×C3#58512yes—
604C3×C4—22no—
605C3×C4—24no—
606C3×C4—22no—
607C3×C4—41no—
608C3×C4—42no—
609C3×C4—41no—
610C3×C4—42no—
611C3×C4#52514yes—
612Dic3—24no—
613Dic3—24no—
614Dic3—42no—
615Dic3—42no—
616Dic3—44no—
617Dic3—44no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—21no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—21no—
627C23—22no—
628C23—21no—
629C23—22no—
630C23—21no—
631C23—22no—
632C23—21no—
633C23C2×D3×D412yes—
634C23C2×#23714yes—
635C23C24×D311yescharacteristic
636Q8—28no—
637Q8—128no—
638Q8—124no—
639D4—28no—
640D4—216no—
641D4—44no—
642D4—48no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—28no—
649C2×C4—216no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—34no—
661C2×C4—34no—
662C2×C4—44no—
663C2×C4—62no—
664C2×C4—64no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—64no—
669C2×C4—64no—
670C2×C4—64no—
671C2×C4—62no—
672C2×C4—64no—
673C2×C4—64no—
674C2×C4—62no—
675C2×C4—64no—
676C2×C4—64no—
677C2×C4—248no—
678C2×C4—244no—
679C2×C4C2×D3×D412yes—
680C2×C4C2×D3×D412yes—
681C2×C4C2×#23714yes—
682C2×C4C2×#23714yes—
683C2×C4#101012yes—
684C2×C3—42no—
685C2×C3—44no—
686C2×C3—81no—
687C2×C3C2×#52511yescharacteristic
688C2×C3#348911yescharacteristic
689C2×C3#349312yes—
690C2×C3#350011yescharacteristic
691C2×C3#350712yes—
692C22—24no—
693C22—22no—
694C22—22no—
695C22—24no—
696C22—24no—
697C22—22no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—41no—
706C22—41no—
707C22—42no—
708C22—41no—
709C22C22×D3×D411yescharacteristic
710C22C22×#23712yes—
711C22C2×#101011yescharacteristic
712C22#596411yescharacteristic
713C22#596412yes—
714C4—22no—
715C4—22no—
716C4—24no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—64no—
722C4—64no—
723C4—124no—
724C4—122no—
725C4—122no—
726C4—124no—
727C4#558614yes—
728C3#3575911yescharacteristic, complemented, Sylow
729C2—44no—
730C2—42no—
731C2—81no—
732C2C2×#558611yescharacteristic
733C2#8602612yes—
734C2#8604211yescharacteristic
735C2#8622412yes—
736C2#8624411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
Fitting, prime radicalC3×#2388C2
hypercenter#2388D3
hypocenterC3#35759
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2388

Complements

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

NH ≅ G/Ntype
1. C2×#5827C2semidirect
2. C2×#5542C2semidirect
4. #84094C2semidirect
5. #82374C2semidirect
6. #82351C2semidirect
7. #82335C2semidirect
8. #77191C2semidirect
9. #76918C2semidirect
10. #76893C2semidirect
11. #76806C2semidirect
12. #76704C2semidirect
13. #76679C2semidirect
14. #73518C2semidirect
15. #73492C2semidirect
16. #73465C2semidirect
17. #73459C2semidirect
145. #926D4semidirect
728. C3#35759semidirect

Maximal subgroups

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

subgroupindex
C2×#58272
C2×#55422
C3×#23882
#840942
#823742
#823512
#823352
#771912
#769182
#768932
#768062
#767042
#766792
#735182
#734922
#734652
#734592
#357593