Finite Group Databasebeta

← #6394562

Subgroups — #6394562

Order 512.

2218 conjugacy classes of subgroups.

The subgroup lattice has 735 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3189C211yesmaximal, characteristic
2#34212C211yesmaximal, characteristic
3C2×#2360C211yesmaximal, characteristic
4#23133C214yesmaximal, complemented
5#23028C214yesmaximal, complemented
6#22932C214yesmaximal, complemented
7#22859C214yesmaximal, complemented
8#22085C212yesmaximal, complemented
9#22050C212yesmaximal, complemented
10#21759C211yesmaximal, characteristic
11#21581C212yesmaximal, complemented
12#21455C212yesmaximal, complemented
13C2×#1872C211yesmaximal, characteristic
14C2×#1853C211yesmaximal, characteristic
15#20526C211yesmaximal, characteristic
16C22×C22⋊Q8C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C22×C4×Q8C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20#3189C4116yescomplemented
21C2×#484C2212yes—
22C2×#484C2212yes—
23C2×#467C2214yes—
24C2×#451C2212yes—
25C2×#451C2212yes—
26C2×#441C2214yescomplemented
27C22×#106C2212yes—
28C22×#103C2212yes—
29C22×C22⋊C8C2211yescharacteristic
30C22×C22⋊C8C2211yescharacteristic
31#2368—22no—
32#2360—22no—
33#2360—22no—
34#2360C2214yes—
35#2360C2214yes—
36#2360C2212yes—
37#2360C2212yes—
38#2345—22no—
39#2345C2212yes—
40Q8×C22⋊C4C2212yes—
41#2329—21no—
42#2329—21no—
43#2315—21no—
44C4×C22⋊Q8C2212yes—
45C4×C22⋊Q8C2212yes—
46C2×#391C2211yescharacteristic
47C2×#389—21no—
48C2×#389C2211yescharacteristic
49C2×#387—21no—
50C2×#385—21no—
51C2×#380C2211yescharacteristic
52#2273—21no—
53C2×C4×C4⋊C4C2211yescharacteristic
54C2×C4×C22⋊C4—21no—
55C2×C4×C22⋊C4C2211yescharacteristic
56#1971C2214yescomplemented
57#1943C2214yescomplemented
58#1935C2214yescomplemented
59#1935C2214yescomplemented
60#1927C2214yescomplemented
61#1927C2214yescomplemented
62#1918C2214yescomplemented
63#1918C2214yescomplemented
64#1892C2214yes—
65#1878C2214yescomplemented
66#1878C2214yescomplemented
67#1872C2212yes—
68#1872C2212yes—
69#1872C2212yes—
70#1872C2214yes—
71#1872C2212yes—
72#1865C2214yescomplemented
73#1865C2214yescomplemented
74#1853C2212yes—
75#1853C2214yes—
76#1853C2212yes—
77#1824C2212yes—
78#1787C2212yes—
79#1776C2214yescomplemented
80#1763C2214yescomplemented
81#1763C2214yescomplemented
82#1752C2214yes—
83#1752C2214yes—
84#1749C2212yes—
85#1749C2212yes—
86C2×#340C2212yes—
87C2×#340C2212yes—
88C23×Q8C2311yescharacteristic
89C23×Q8C2311yescharacteristic
90C24×C4—21no—
91C24×C4C2311yescharacteristic
92C22×Q16C2314yes—
93C23×C8C2312yes—
94C23×C8C2312yes—
95C2×C22⋊Q8—21no—
96C2×C22⋊Q8—21no—
97C2×C22⋊Q8—21no—
98C2×C22⋊Q8—21no—
99C2×C22⋊Q8—24no—
100C2×C22⋊Q8—24no—
101C2×C22⋊Q8C2×C418yes—
102C2×C22⋊Q8C2×C418yes—
103C2×C22⋊Q8C2312yes—
104C2×C22⋊Q8C2312yes—
105C2×C22⋊Q8C2312yes—
106C2×C22⋊Q8C2312yes—
107C2×C4×Q8—22no—
108C2×C4×Q8—44no—
109C2×C4×Q8C2314yes—
110C2×C4×Q8C2312yes—
111C2×C4×Q8C2312yes—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—44no—
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4D411yescharacteristic
132C22×C22⋊C4D411yescharacteristic
133C22×C42—21no—
134C22×C42—21no—
135C22×C42C2311yescharacteristic
136C22×C42C2311yescharacteristic
137#484C2×C4116yescomplemented
138#484C2×C4116yescomplemented
139#467C2×C4132yescomplemented
140#451C2×C4116yescomplemented
141#451C2×C4116yescomplemented
142#441—48no—
143C2×#107C2314yes—
144C2×#106—44no—
145C2×#106C2314yes—
146C2×#106C2314yes—
147C2×#103—44no—
148C2×#103C2314yes—
149C2×#103C2314yes—
150C2×#103C2314yes—
151C2×#103C2314yes—
152C2×#103C2314yes—
153C2×#103C2314yes—
154C2×C22⋊C8—24no—
155C2×C22⋊C8C2×C418yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×#97C2314yes—
161C2×#97C2314yes—
162#391—22no—
163#391—22no—
164#391—22no—
165#391C2312yes—
166#391C2312yes—
167#391C2314yes—
168#389—22no—
169#389—22no—
170#389—22no—
171#389—24no—
172#389—24no—
173#389C2312yes—
174#389C2312yes—
175#389C2314yes—
176#387—22no—
177#387—22no—
178#387—22no—
179#387—22no—
180#387—22no—
181#387—22no—
182#387—24no—
183#387—24no—
184#385—22no—
185#385—22no—
186#385—22no—
187#385—22no—
188#385—24no—
189#385—24no—
190#380—21no—
191#380—21no—
192#380—22no—
193#380—22no—
194#380C2312yes—
195#380C2312yes—
196C4×C4⋊C4—22no—
197C4×C4⋊C4—22no—
198C4×C4⋊C4—22no—
199C4×C4⋊C4C2312yes—
200C4×C4⋊C4C2312yes—
201C4×C4⋊C4C2314yes—
202C4×C22⋊C4—22no—
203C4×C22⋊C4—22no—
204C4×C22⋊C4—22no—
205C4×C22⋊C4—22no—
206C4×C22⋊C4—24no—
207C4×C22⋊C4—24no—
208C4×C22⋊C4—22no—
209C4×C22⋊C4—22no—
210C4×C22⋊C4D412yes—
211C4×C22⋊C4D412yes—
212C4×C22⋊C4C2312yes—
213C4×C22⋊C4C2312yes—
214C2×#95—21no—
215C2×#95—21no—
216C2×#95—21no—
217C2×#95—21no—
218C2×#95—21no—
219C2×#95D411yescharacteristic
220C2×#95D411yescharacteristic
221#340C2314yes—
222#340C2314yes—
223#340C2314yes—
224#340C2314yes—
225#340C2314yes—
226#340C2314yes—
227#336C2314yes—
228#336C2314yes—
229C25C2×D411yescharacteristic
230C22×Q8—21no—
231C22×Q8—21no—
232C22×Q8—22no—
233C22×Q8—22no—
234C22×Q8—42no—
235C22×Q8—42no—
236C22×Q8—42no—
237C22×Q8—42no—
238C22×Q8C22×C414yes—
239C22×Q8C22×C414yes—
240C22×Q8C2412yes—
241C22×Q8C2412yes—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—44no—
255C23×C4—44no—
256C23×C4—82no—
257C23×C4C22×C414yes—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4#4114yes—
266C23×C4C2411yescharacteristic
267C23×C4C2411yescharacteristic
268C23×C4C2411yescharacteristic
269C2×Q16—44no—
270C2×Q16—44no—
271C2×Q16C22×C4116yescomplemented
272C22×C8—24no—
273C22×C8—42no—
274C22×C8—42no—
275C22×C8—42no—
276C22×C8—42no—
277C22×C8C22×C418yes—
278C22×C8C2414yes—
279C22×C8C2414yes—
280C22⋊Q8—28no—
281C22⋊Q8—28no—
282C22⋊Q8—28no—
283C22⋊Q8—28no—
284C22⋊Q8—24no—
285C22⋊Q8—24no—
286C22⋊Q8—24no—
287C22⋊Q8—24no—
288C22⋊Q8C22×C418yes—
289C22⋊Q8C22×C418yes—
290C22⋊Q8C22×C418yes—
291C22⋊Q8C22×C418yes—
292C4×Q8—28no—
293C4×Q8—44no—
294C4×Q8—44no—
295C4×Q8—44no—
296C4×Q8—48no—
297C2×C4⋊C4—28no—
298C2×C4⋊C4—28no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—42no—
323C2×C4⋊C4—42no—
324C2×C4⋊C4—42no—
325C2×C4⋊C4—42no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—82no—
332C2×C4⋊C4C22×C414yes—
333C2×C4⋊C4C22×C414yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4C2×D412yes—
352C2×C22⋊C4C2×D412yes—
353C2×C22⋊C4C2×D412yes—
354C2×C22⋊C4C2×D412yes—
355C2×C42—24no—
356C2×C42—22no—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42—22no—
360C2×C42—24no—
361C2×C42—42no—
362C2×C42—42no—
363C2×C42—44no—
364C2×C42—82no—
365C2×C42C2×D412yes—
366C2×C42C2×D412yes—
367C2×C42C2412yes—
368C2×C42C2412yes—
369#107C22×C4116yescomplemented
370#106—28no—
371#106—44no—
372#103—28no—
373#103—44no—
374#103—44no—
375#103—44no—
376#103C22×C4116yescomplemented
377#103C22×C4116yescomplemented
378C22⋊C8—24no—
379C22⋊C8—24no—
380C22⋊C8C22×C418yes—
381C22⋊C8C22×C418yes—
382#97—44no—
383#97—44no—
384#95—24no—
385#95—24no—
386#95—22no—
387#95—24no—
388#95—22no—
389#95—24no—
390#95—22no—
391#95—22no—
392#95—22no—
393#95—22no—
394#95—22no—
395#95—22no—
396#95—22no—
397#95—22no—
398#95C2×D412yes—
399#95C2×D412yes—
400#95C2×D412yes—
401#95C2×D412yes—
402C24—41no—
403C24—41no—
404C24—41no—
405C24—41no—
406C24C4×D414yes—
407C24#13714yes—
408C24#13714yes—
409C24C22×D411yescharacteristic
410C24C22×D411yescharacteristic
411C24C22×D411yescharacteristic
412C2×Q8—24no—
413C2×Q8—24no—
414C2×Q8—22no—
415C2×Q8—22no—
416C2×Q8—24no—
417C2×Q8—24no—
418C2×Q8—24no—
419C2×Q8—24no—
420C2×Q8—48no—
421C2×Q8—42no—
422C2×Q8—42no—
423C2×Q8—48no—
424C2×Q8—48no—
425C2×Q8—81no—
426C2×Q8—81no—
427C2×Q8—84no—
428C2×Q8C23×C414yes—
429C2×Q8C23×C414yes—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—24no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—48no—
454C22×C4—48no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—44no—
470C22×C4—44no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4—82no—
487C22×C4—82no—
488C22×C4—81no—
489C22×C4—81no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4—81no—
493C22×C4—81no—
494C22×C4—816no—
495C22×C4C4×D414yes—
496C22×C4C4×D414yes—
497C22×C4C4×D414yes—
498C22×C4C23×C412yes—
499C22×C4C23×C412yes—
500C22×C4C23×C412yes—
501C22×C4C22×D412yes—
502C22×C4C22×D412yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C2×#4112yes—
509C22×C4C2×#4112yes—
510C22×C4C2×#4112yes—
511C22×C4C2511yescharacteristic
512Q16—416no—
513C2×C8—24no—
514C2×C8—24no—
515C2×C8—24no—
516C2×C8—24no—
517C2×C8—24no—
518C2×C8—48no—
519C2×C8—84no—
520C2×C8C23×C418yes—
521C4⋊C4—24no—
522C4⋊C4—28no—
523C4⋊C4—28no—
524C4⋊C4—28no—
525C4⋊C4—28no—
526C4⋊C4—24no—
527C4⋊C4—24no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—24no—
535C4⋊C4—44no—
536C4⋊C4—44no—
537C4⋊C4—48no—
538C4⋊C4—42no—
539C4⋊C4—82no—
540C4⋊C4—82no—
541C4⋊C4—81no—
542C4⋊C4—81no—
543C4⋊C4—84no—
544C4⋊C4—82no—
545C4⋊C4—82no—
546C4⋊C4C23×C414yes—
547C4⋊C4C23×C414yes—
548C4⋊C4H(5,𝔽2)14yes—
549C22⋊C4—28no—
550C22⋊C4—28no—
551C22⋊C4—28no—
552C22⋊C4—28no—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—24no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C42—24no—
560C42—24no—
561C42—42no—
562C42—42no—
563C42—48no—
564C42—82no—
565C42—82no—
566C42—84no—
567C42—82no—
568C42—82no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23#441116yescomplemented
588C23C2×C4×D412yes—
589C23C2×C4×D412yes—
590C23C2×C4×D412yes—
591C23C2×#13712yes—
592C23C2×#13712yes—
593C23C2×#13712yes—
594C23C2×#13712yes—
595C23C2×#13712yes—
596C23C2×#13712yes—
597C23C23×D411yescharacteristic
598Q8—28no—
599Q8—28no—
600Q8—48no—
601Q8—44no—
602Q8—44no—
603Q8—84no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—44no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—48no—
637C2×C4—44no—
638C2×C4—44no—
639C2×C4—48no—
640C2×C4—48no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—82no—
661C2×C4—82no—
662C2×C4—84no—
663C2×C4—84no—
664C2×C4—88no—
665C2×C4—88no—
666C2×C4—84no—
667C2×C4—162no—
668C2×C4—162no—
669C2×C4C2×C4×D412yes—
670C2×C4C2×C4×D412yes—
671C2×C4C2×C4×D412yes—
672C2×C4C24×C411yescharacteristic
673C2×C4C22×#4111yescharacteristic
674C2×C4C2×H(5,𝔽2)12yes—
675C2×C4#58512yes—
676C8—28no—
677C8—44no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—416no—
697C22C2×#44114yes—
698C22C2×#44114yes—
699C22C2×#44114yes—
700C22C22×C4×D411yescharacteristic
701C22#348411yescharacteristic
702C22#348511yescharacteristic
703C22C22×#13711yescharacteristic
704C22C22×#13711yescharacteristic
705C22#358511yescharacteristic
706C22#358611yescharacteristic
707C4—22no—
708C4—22no—
709C4—22no—
710C4—42no—
711C4—44no—
712C4—44no—
713C4—42no—
714C4—42no—
715C4—44no—
716C4—42no—
717C4—44no—
718C4—44no—
719C4—82no—
720C4—82no—
721C4—82no—
722C4C4×H(5,𝔽2)12yes—
723C4#350512yes—
724C2—24no—
725C2—24no—
726C2—24no—
727C2#3426411yescharacteristic
728C2C22×#44111yescharacteristic
729C2#6017011yescharacteristic
730C2#6157011yescharacteristic
731C2#6157411yescharacteristic
732C2#6170511yescharacteristic
733C2#6170911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. #23133C2semidirect
5. #23028C2semidirect
6. #22932C2semidirect
7. #22859C2semidirect
8. #22085C2semidirect
9. #22050C2semidirect
11. #21581C2semidirect
12. #21455C2semidirect
20. #3189C4semidirect
26. C2×#441C22semidirect
56. #1971C22semidirect
57. #1943C22semidirect
58. #1935C22semidirect
59. #1935C22semidirect
60. #1927C22semidirect
61. #1927C22semidirect
62. #1918C22semidirect
63. #1918C22semidirect
65. #1878C22semidirect
66. #1878C22semidirect
72. #1865C22semidirect
73. #1865C22semidirect
79. #1776C22semidirect
80. #1763C22semidirect
81. #1763C22semidirect
137. #484C2×C4semidirect
138. #484C2×C4semidirect
139. #467C2×C4semidirect
140. #451C2×C4semidirect
141. #451C2×C4semidirect
271. C2×Q16C22×C4semidirect
369. #107C22×C4semidirect
376. #103C22×C4semidirect
377. #103C22×C4semidirect
587. C23#441semidirect

Maximal subgroups

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

subgroupindex
C2×#31892
#342122
C2×#23602
#231332
#230282
#229322
#228592
#220852
#220502
#217592
#215812
#214552
C2×#18722
C2×#18532
#205262