Finite Group Databasebeta

← #6513404

Subgroups — #6513404

Order 512.

2213 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3218C211yesmaximal, characteristic, complemented
2C22×#461C211yesmaximal, characteristic, complemented
3#34965C211yesmaximal, characteristic
4#34216C211yesmaximal, characteristic, complemented
5#28254C212yesmaximal, complemented
6#28252C212yesmaximal, complemented
7#28159C212yesmaximal, complemented
8#28157C212yesmaximal, complemented
9#25377C214yesmaximal, complemented
10#25331C214yesmaximal, complemented
11#24533C212yesmaximal, complemented
12#24532C212yesmaximal, complemented
13#24357C212yesmaximal, complemented
14#24356C212yesmaximal
15#21976C211yesmaximal, characteristic, complemented
16#21887C211yesmaximal, characteristic, complemented
17#20738C211yesmaximal, characteristic, complemented
18C23×SD16C2212yes—
19C22×C4⋊Q8C2211yescharacteristic
20C2×#529C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22#3218—28no—
23C2×#497C2212yescomplemented
24C2×#491C2212yescomplemented
25C2×#464C2214yes—
26C2×#462C2211yescharacteristic, complemented
27C2×#462C2211yescharacteristic, complemented
28C2×#460C2214yes—
29C2×#461—28no—
30C2×#461C2214yes—
31C2×#461C2212yes—
32C2×#461C2212yes—
33C2×#461C2211yescharacteristic, complemented
34C2×#461C2211yescharacteristic, complemented
35C2×#451C2212yes—
36C2×#448C2212yes—
37C2×#432C2211yescharacteristic
38C22×C4⋊C8C2211yescharacteristic
39C22×#103C2212yes—
40#2603—22no—
41#2566C2212yes—
42#2544C2212yes—
43#2504C2211yescharacteristic
44#2502C2211yescharacteristic
45#2435C2211yescharacteristic
46#2433C2211yescharacteristic
47#2411—21no—
48#2411—21no—
49#2392—22no—
50#2369—22no—
51#2365C2214yescomplemented
52#2345—21no—
53#2345—21no—
54Q8×C22⋊C4C2212yes—
55Q8×C22⋊C4C2212yes—
56#2331—22no—
57#2316—21no—
58C4×C4⋊Q8C2212yescomplemented
59C4×C4⋊Q8C2212yescomplemented
60C4×#127C2212yes—
61C4×#124C2212yes—
62C4×#120—21no—
63C4×#120—21no—
64#2285C2211yescharacteristic
65#2274—21no—
66C4×#117C2211yescharacteristic
67#2074C2214yescomplemented
68#2072C2214yescomplemented
69#2056C2214yescomplemented
70#2055C2214yes—
71#2055C2214yes—
72#2055C2214yescomplemented
73#2015C2214yes—
74#2014C2214yes—
75#1989C2212yescomplemented
76#1983C2212yescomplemented
77#1940C2214yescomplemented
78#1893C2212yes—
79#1892C2212yes—
80#1880C2214yes—
81#1880C2214yes—
82#1880C2214yescomplemented
83#1878C2214yescomplemented
84#1850C2212yes—
85#1850C2212yes—
86#1842C2212yescomplemented
87#1831C2212yescomplemented
88#1824C2212yes—
89#1805C2214yescomplemented
90#1803C2214yescomplemented
91#1803C2212yescomplemented
92#1802C2212yes—
93#1802C2212yes—
94#1802C2212yescomplemented
95#1786C2212yes—
96#1762C2214yes—
97C23×Q8C2312yes—
98C23×D4C2311yescharacteristic
99C24×C4—21no—
100C22×Q16C2312yes—
101C22×Q16C2312yes—
102C22×SD16—28no—
103C22×SD16—48no—
104C22×SD16C2314yes—
105C22×SD16C2314yes—
106C22×SD16C2312yes—
107C22×SD16C2312yes—
108C23×C8C2312yes—
109C2×C4⋊Q8—21no—
110C2×C4⋊Q8—21no—
111C2×C4⋊Q8—24no—
112C2×C4⋊Q8D418yescomplemented
113C2×C4⋊Q8C2311yescharacteristic
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2312yes—
116C2×#127C2312yes—
117#529—24no—
118#529—24no—
119C2×#126—21no—
120C2×#125C2311yescharacteristic
121C2×#124C2311yescharacteristic
122C2×#124C2312yes—
123C2×#123—21no—
124C2×C22⋊Q8C2311yescharacteristic
125C2×#121C2311yescharacteristic
126C2×#120—21no—
127C2×#120—21no—
128C2×C4×Q8C2311yescharacteristic
129C2×C4×Q8C2314yes—
130C2×C4×Q8C2314yes—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4—21no—
134C2×C4×D4—22no—
135C2×C4×D4—22no—
136C2×C4×D4—24no—
137C2×C4×D4—24no—
138C2×C4×D4C2311yescharacteristic
139C2×C4×D4C2312yes—
140C2×C4×D4C2312yes—
141C2×#117—21no—
142C2×#117—21no—
143C2×#117D411yescharacteristic
144C2×#117D411yescharacteristic
145C22×C4⋊C4—21no—
146C22×C4⋊C4—21no—
147C22×C4⋊C4C2311yescharacteristic
148C22×C22⋊C4—21no—
149C22×C42C2311yescharacteristic
150#497—28no—
151#491—28no—
152#464—48no—
153#462—24no—
154#462—24no—
155#461—24no—
156#461—24no—
157#461—28no—
158#461—28no—
159#461—216no—
160#460—48no—
161#451—28no—
162#448—28no—
163#432—24no—
164C2×C4⋊C8—24no—
165C2×C4⋊C8C2311yescharacteristic
166C2×C4⋊C8C2311yescharacteristic
167C2×C4⋊C8C2312yes—
168C2×C4⋊C8C2312yes—
169C2×C4⋊C8C2314yes—
170C2×C4⋊C8C2314yes—
171C2×#103—28no—
172C2×#103C2312yes—
173C2×#103C2312yes—
174C2×#103C2314yes—
175C2×#103C2314yes—
176C2×#103C2312yes—
177C2×#103C2312yes—
178C2×#103C2314yes—
179C2×#102C2314yes—
180C2×#102C2314yes—
181C2×#102C2314yes—
182C2×C22⋊C8C2312yes—
183C2×#97C2312yes—
184#398—22no—
185#397—22no—
186#396—22no—
187#396—22no—
188#394—22no—
189#394—22no—
190#394—22no—
191#392—22no—
192#391—24no—
193#391—24no—
194#391C2314yes—
195#391C2314yes—
196#391C2312yes—
197#390—22no—
198#390—22no—
199#390C2312yes—
200#390C2312yes—
201#390C2312yes—
202#389—24no—
203#389—22no—
204#389—22no—
205#389—22no—
206#389—22no—
207#388—22no—
208#388—22no—
209#387—24no—
210#387—24no—
211#386—21no—
212#386—21no—
213#386—22no—
214#386—22no—
215#385—21no—
216#385—21no—
217#385—22no—
218#385—22no—
219#384C2312yes—
220#384C2312yes—
221#382—21no—
222#382C2312yes—
223#380—21no—
224#380—22no—
225#380—22no—
226#380C2312yes—
227#379—21no—
228#379—21no—
229C4×C4⋊C4—24no—
230C4×C4⋊C4—22no—
231C4×C4⋊C4—22no—
232C4×C4⋊C4—22no—
233C4×C4⋊C4—22no—
234C4×C4⋊C4—21no—
235C4×C4⋊C4D412yes—
236C4×C4⋊C4C2312yes—
237C4×C4⋊C4C2312yes—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241C4×C22⋊C4—22no—
242C4×C22⋊C4D411yescharacteristic
243C4×C22⋊C4D411yescharacteristic
244C4×C22⋊C4C2311yescharacteristic
245C4×C22⋊C4C2311yescharacteristic
246#376D412yes—
247C43C2312yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#336C2314yes—
253#336C2314yes—
254C25—21no—
255C22×Q8—22no—
256C22×Q8—24no—
257C22×Q8—44no—
258C22×Q8—44no—
259C22×Q8C2×D418yes—
260C22×Q8C2411yescharacteristic
261C22×Q8C2412yes—
262C22×Q8C2412yes—
263C22×D4—24no—
264C22×D4—21no—
265C22×D4—22no—
266C22×D4—21no—
267C22×D4—22no—
268C22×D4—22no—
269C22×D4—22no—
270C22×D4—42no—
271C22×D4C2411yescharacteristic
272C22×D4C2412yes—
273C23×C4—22no—
274C23×C4—21no—
275C23×C4—21no—
276C23×C4—22no—
277C23×C4—22no—
278C23×C4—44no—
279C23×C4—84no—
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2411yescharacteristic
283C2×Q16—24no—
284C2×Q16—24no—
285C2×Q16—44no—
286C2×Q16—44no—
287C2×SD16—28no—
288C2×SD16—28no—
289C2×SD16—28no—
290C2×SD16—28no—
291C2×SD16—24no—
292C2×SD16—24no—
293C2×SD16—44no—
294C2×SD16—44no—
295C2×SD16—44no—
296C2×SD16—44no—
297C2×SD16—432no—
298C22×C8—24no—
299C22×C8—44no—
300C22×C8C2414yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C4⋊Q8—28no—
304C4⋊Q8—28no—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—24no—
308C4⋊Q8C2×D414yes—
309C4⋊Q8C2×D414yes—
310C4⋊Q8C2×D418yes—
311#127—24no—
312#127—42no—
313#126—44no—
314#125—22no—
315#125—22no—
316#124—24no—
317#124—22no—
318#124—22no—
319#124—42no—
320#123—44no—
321C22⋊Q8—22no—
322C22⋊Q8—22no—
323#121—22no—
324#121—22no—
325#120—44no—
326#120—44no—
327C4×Q8—22no—
328C4×Q8—22no—
329C4×Q8—44no—
330C4×Q8—44no—
331C4×Q8—44no—
332C4×Q8—44no—
333C4×D4—24no—
334C4×D4—24no—
335C4×D4—22no—
336C4×D4—24no—
337C4×D4—24no—
338C4×D4—22no—
339C4×D4—44no—
340C4×D4—44no—
341C4×D4—44no—
342C4×D4—84no—
343C4×D4—84no—
344#117—24no—
345#117—42no—
346#117—44no—
347#117—44no—
348C2×C4⋊C4—28no—
349C2×C4⋊C4—28no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—24no—
368C2×C4⋊C4—24no—
369C2×C4⋊C4C2×D412yes—
370C2×C4⋊C4C2×D412yes—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2411yescharacteristic
373C2×C4⋊C4C2414yes—
374C2×C4⋊C4C2411yescharacteristic
375C2×C22⋊C4—22no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—21no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—44no—
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C42—21no—
397C2×C42—22no—
398C2×C42—24no—
399C2×C42—24no—
400C2×C42C2×D412yes—
401C2×C42C2×D412yes—
402C2×C42C2×D412yes—
403C2×C42C2×D412yes—
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D414yes—
407C2×C42#4114yes—
408C2×C42C2412yes—
409C2×C42C2412yes—
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C4⋊C8—24no—
413C4⋊C8—24no—
414C4⋊C8—22no—
415C4⋊C8—22no—
416C4⋊C8—44no—
417C4⋊C8—44no—
418#103—28no—
419#103—28no—
420#103—24no—
421#103—24no—
422#103—24no—
423#103—24no—
424#103—44no—
425#102—28no—
426#102—44no—
427#102—44no—
428C22⋊C8—24no—
429#97—24no—
430#95—24no—
431#95—24no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—24no—
437#95—24no—
438#95—22no—
439#95—22no—
440#95C2×D412yes—
441#95C2×D412yes—
442#95C2×D412yes—
443#95C2×D412yes—
444C24—22no—
445C24—21no—
446C24—44no—
447C24—42no—
448C24—42no—
449C24—42no—
450C24—82no—
451C24C22×D411yescharacteristic
452C2×Q8—28no—
453C2×Q8—22no—
454C2×Q8—22no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—24no—
458C2×Q8—24no—
459C2×Q8—22no—
460C2×Q8—24no—
461C2×Q8—24no—
462C2×Q8—22no—
463C2×Q8—48no—
464C2×Q8—48no—
465C2×Q8—84no—
466C2×Q8—88no—
467C2×Q8C22×D414yes—
468C2×Q8C22×D414yes—
469C2×D4—28no—
470C2×D4—22no—
471C2×D4—21no—
472C2×D4—22no—
473C2×D4—21no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—48no—
480C2×D4—44no—
481C2×D4—44no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—44no—
490C2×D4—82no—
491C2×D4—82no—
492C2×D4H(5,𝔽2)14yes—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—28no—
501C22×C4—24no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—21no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—82no—
514C22×C4—82no—
515C22×C4—816no—
516C22×C4—82no—
517C22×C4—84no—
518C22×C4#12114yes—
519C22×C4#12114yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C2×#4112yes—
531C22×C4C2511yescharacteristic
532Q16—84no—
533Q16—84no—
534SD16—416no—
535SD16—416no—
536SD16—84no—
537SD16—84no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—48no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—28no—
549C4⋊C4—28no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—42no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4—84no—
572C4⋊C4—84no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—42no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—44no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4#13714yes—
593C42—24no—
594C42—24no—
595C42—24no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—42no—
601C42—44no—
602C42—42no—
603C42—84no—
604C42—84no—
605C42#12114yes—
606C42#12114yes—
607C42C22×D412yes—
608C42C22×D412yes—
609C42C2×#4112yes—
610C42C2×#4112yes—
611C23—22no—
612C23—22no—
613C23—24no—
614C23—48no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—41no—
622C23—42no—
623C23—41no—
624C23—41no—
625C23—42no—
626C23—88no—
627C23—88no—
628C23—84no—
629C23—84no—
630C23C2×#12112yes—
631C23C2×#13712yes—
632C23#57512yes—
633C23C23×D411yescharacteristic
634Q8—24no—
635Q8—24no—
636Q8—24no—
637Q8—24no—
638Q8—44no—
639Q8—44no—
640Q8—41no—
641Q8—41no—
642Q8—42no—
643Q8—88no—
644D4—24no—
645D4—24no—
646D4—48no—
647D4—41no—
648D4—42no—
649D4—41no—
650D4—42no—
651D4—42no—
652D4—88no—
653D4—88no—
654D4—84no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—28no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—24no—
667C2×C4—28no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—44no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—88no—
695C2×C4—88no—
696C2×C4—84no—
697C2×C4—84no—
698C2×C4—88no—
699C2×C4C2×#12112yes—
700C2×C4C2×#12112yes—
701C2×C4C2×#12112yes—
702C2×C4C2×#12112yes—
703C2×C4C2×#12112yes—
704C2×C4C2×#13714yes—
705C2×C4#57714yes—
706C2×C4C23×D411yescharacteristic
707C2×C4C22×#4111yescharacteristic
708C2×C4C2×H(5,𝔽2)12yes—
709C2×C4#58512yes—
710C8—44no—
711C8—42no—
712C8—42no—
713C22—22no—
714C22—24no—
715C22—24no—
716C22—22no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—816no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—81no—
726C22—82no—
727C22—82no—
728C22—81no—
729C22—81no—
730C22#303714yes—
731C22C22×#12111yescharacteristic
732C22#348812yes—
733C22C22×#13711yescharacteristic
734C22C2×#57511yescharacteristic
735C22C2×#57712yes—
736C4—22no—
737C4—24no—
738C4—22no—
739C4—22no—
740C4—22no—
741C4—42no—
742C4—42no—
743C4—42no—
744C4—44no—
745C4—44no—
746C4—81no—
747C4—82no—
748C4—84no—
749C4—81no—
750C4—81no—
751C4#304314yes—
752C4#348411yescharacteristic
753C4#348511yescharacteristic
754C4#349412yes—
755C2—24no—
756C2—84no—
757C2—161no—
758C2#3551411yescharacteristic
759C2C2×#303711yescharacteristic
760C2C2×#304311yescharacteristic
761C2#6197812yes—
762C2#6198012yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#2433C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3218C2semidirect
2. C22×#461C2semidirect
4. #34216C2semidirect
5. #28254C2semidirect
6. #28252C2semidirect
7. #28159C2semidirect
8. #28157C2semidirect
9. #25377C2semidirect
10. #25331C2semidirect
11. #24533C2semidirect
12. #24532C2semidirect
13. #24357C2semidirect
15. #21976C2semidirect
16. #21887C2semidirect
17. #20738C2semidirect
23. C2×#497C22semidirect
24. C2×#491C22semidirect
26. C2×#462C22semidirect
27. C2×#462C22semidirect
33. C2×#461C22semidirect
34. C2×#461C22semidirect
51. #2365C22semidirect
58. C4×C4⋊Q8C22semidirect
59. C4×C4⋊Q8C22semidirect
67. #2074C22semidirect
68. #2072C22semidirect
69. #2056C22semidirect
72. #2055C22semidirect
75. #1989C22semidirect
76. #1983C22semidirect
77. #1940C22semidirect
82. #1880C22semidirect
83. #1878C22semidirect
86. #1842C22semidirect
87. #1831C22semidirect
89. #1805C22semidirect
90. #1803C22semidirect
91. #1803C22semidirect
94. #1802C22semidirect
112. C2×C4⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32182
C22×#4612
#349652
#342162
#282542
#282522
#281592
#281572
#253772
#253312
#245332
#245322
#243572
#243562
#219762
#218872
#207382