Finite Group Databasebeta

← #7626443

Subgroups — #7626443

Order 512.

7802 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×#3499C211yesmaximal, characteristic
2#34475C218yesmaximal, complemented
3#34473C218yesmaximal, complemented
4#34469C2116yesmaximal, complemented
5#34439C218yesmaximal, complemented
6#34402C214yesmaximal, complemented
7#34371C214yesmaximal, complemented
8#34268C212yesmaximal, complemented
9#34266C212yesmaximal, complemented
10#34259C212yesmaximal, complemented
11#34257C212yesmaximal, complemented
12#34209C211yesmaximal, characteristic, complemented
13#34208C211yesmaximal, characteristic, complemented
14#34189C211yesmaximal, characteristic, complemented
15#34070C211yesmaximal, characteristic, complemented
16C2×#2327C211yesmaximal, characteristic, complemented
17#34056C211yesmaximal, characteristic, complemented
18C22×2−1+4C2212yes—
19#3499C4132yescomplemented
20C2×D4×Q8C2214yes—
21C2×#547C2218yes—
22C2×#547C2214yes—
23C2×#536C2214yes—
24C2×#536C2212yes—
25C2×#532C2211yescharacteristic
26C2×#532C2212yes—
27C22×C4⋊Q8C2211yescharacteristic
28C22×C4⋊Q8C2212yes—
29C2×#520C2212yes—
30C2×#519C2212yes—
31C2×C4×#41C2212yes—
32C2×C4×#41C2211yescharacteristic
33C22×C4×Q8C2212yes—
34#2381C22116yes—
35#2378C22116yes—
36#2377C22116yes—
37#2376C22116yes—
38#2374C22116yes—
39#2368C22116yes—
40#2367C2218yes—
41#2367C2218yes—
42#2365C2218yes—
43#2365C2218yes—
44#2365C2218yes—
45#2364C2218yes—
46#2362C2218yes—
47#2360C2218yes—
48#2359C22116yes—
49#2357C2214yes—
50#2356C2214yes—
51#2353C22116yes—
52#2353C2218yes—
53#2352C2218yes—
54#2345C22116yes—
55#2344C2218yes—
56#2341C2218yes—
57#2341C2218yes—
58Q8×C22⋊C4C2218yes—
59Q8×C22⋊C4C2218yes—
60Q8×C22⋊C4C2218yes—
61#2339C2218yes—
62#2339C22116yes—
63#2335C22116yes—
64#2335C22116yes—
65#2333C22116yes—
66#2332C22116yes—
67#2331C22116yes—
68#2329C22116yes—
69#2328C2212yes—
70#2328C2212yes—
71#2327C2214yes—
72#2327C2214yes—
73#2327C2218yes—
74#2327C2212yes—
75#2327C2212yes—
76#2327C2214yes—
77#2326C2214yes—
78#2325C2218yes—
79#2323C2218yes—
80#2322C2218yes—
81#2320C2214yes—
82#2319C2214yes—
83#2318C2218yes—
84#2318C22116yes—
85#2314C2214yes—
86#2313C22116yes—
87#2311C2212yes—
88#2311C2212yes—
89#2311C2218yes—
90#2311C2214yes—
91#2310C2212yes—
92#2310C2214yes—
93C4×C4⋊Q8C2214yes—
94C4×#124C2214yes—
95C4×C22⋊Q8C2218yes—
96C4×#123C2218yes—
97#2298C2214yes—
98#2297C2211yescharacteristic
99#2297C2211yescharacteristic
100#2297C2212yes—
101#2297C2218yes—
102#2297C2214yes—
103#2296C2211yescharacteristic
104#2296C2211yescharacteristic
105C2×#391C2212yes—
106C2×#391C2214yes—
107#2290C2218yes—
108C2×#387C2218yes—
109#2285C2211yescharacteristic
110#2283C2214yes—
111#2283C2214yes—
112C2×#382C2211yescharacteristic
113#2274C2212yes—
114C4×#117C2211yescharacteristic
115C2×#376C2211yescharacteristic
116C2×2−1+4—48no—
117C2×2−1+4—48no—
118C2×2−1+4C2×C4132yescomplemented
119C22×#41C2311yescharacteristic
120C22×#41C2312yes—
121C22×#41C2318yes—
122C22×#41C2314yes—
123C22×#41C2314yes—
124C23×Q8C2312yes—
125C23×Q8C2314yes—
126C23×Q8C2314yes—
127D4×Q8C2×C4164yescomplemented
128#547C2×C4164yescomplemented
129#547C2×C41128yescomplemented
130#536C2×C4164yescomplemented
131#536C2×C4132yescomplemented
132#532C2×C4116yes—
133#532C2×C4132yescomplemented
134C2×C4⋊Q8C2×C4116yescomplemented
135C2×C4⋊Q8C2×C4132yescomplemented
136C2×C4⋊Q8C2312yes—
137C2×C4⋊Q8C2311yescharacteristic
138C2×C4⋊Q8C2312yes—
139C2×C4⋊Q8C2314yes—
140C2×C4⋊Q8C2318yes—
141C2×C4⋊Q8C2314yes—
142C2×#127C2311yescharacteristic
143C2×#124C2312yes—
144C2×#124C2314yes—
145C2×#123C2318yes—
146C2×#123C23116yes—
147C2×C22⋊Q8C2318yes—
148C2×C22⋊Q8C23116yes—
149C2×#121C2314yes—
150C2×#121C2318yes—
151#520—48no—
152#519—48no—
153C4×#41—48no—
154C4×#41C2×C4116yescomplemented
155C2×C4×Q8—48no—
156C2×C4×Q8C2318yes—
157C2×C4×Q8C2318yes—
158C2×C4×Q8C2314yes—
159C2×C4×Q8C2318yes—
160C2×C4×Q8C2318yes—
161C2×C4×Q8C2314yes—
162C2×C4×Q8C2312yes—
163C2×C4×D4C2318yes—
164C2×C4×D4C2318yes—
165C2×C4×D4C2314yes—
166C2×C4×D4C2314yes—
167C2×C4×D4C2314yes—
168C2×C4×D4C2318yes—
169C2×C4×D4C2312yes—
170C2×C4×D4C2314yes—
171C2×#117C2311yescharacteristic
172C2×#117C2312yes—
173C2×#117C2311yescharacteristic
174C2×#117C2314yes—
175C2×#117C2314yes—
176C2×#117C2318yes—
177C2×#117C2312yes—
178C2×#117C2311yescharacteristic
179C22×C4⋊C4C2312yes—
180C22×C4⋊C4C2314yes—
181C22×C4⋊C4C2314yes—
182C22×C4⋊C4C2318yes—
183C22×C4⋊C4C2314yes—
184C22×C42C2311yescharacteristic
185C22×C42C2311yescharacteristic
186C22×C42C2314yes—
187C22×C42C2314yes—
188C22×C42C2311yescharacteristic
189C22×C42C2312yes—
190#391C2318yes—
191#391C2312yes—
192#391C2314yes—
193#391C2314yes—
194#391C2314yes—
195#391C2314yes—
196#391C23116yes—
197#391C2314yes—
198#391C23116yes—
199#391C2312yes—
200#391C2314yes—
201#391C2314yes—
202#391C2318yes—
203#391C23116yes—
204#391C23116yes—
205#390C2312yes—
206#390C2314yes—
207#390C2314yes—
208#390C23116yes—
209#390C2312yes—
210#390C2314yes—
211#390C23116yes—
212#389C23116yes—
213#389C2314yes—
214#389C2314yes—
215#389C23116yes—
216#389C23116yes—
217#388C23116yes—
218#388C2318yes—
219#388C2318yes—
220#388C23116yes—
221#388C23116yes—
222#388C23116yes—
223#388C23116yes—
224#388C2318yes—
225#388C2318yes—
226#388C23116yes—
227#387C2318yes—
228#387C23116yes—
229#387C23116yes—
230#387C23116yes—
231#387C23116yes—
232#387C23116yes—
233#387C23116yes—
234#387C23116yes—
235#387C23116yes—
236#387C2318yes—
237#387C2318yes—
238#387C23116yes—
239#387C2318yes—
240#387C23116yes—
241#387C23116yes—
242#387C23116yes—
243#386C2314yes—
244#386C2314yes—
245#386C2318yes—
246#386C2318yes—
247#386C23116yes—
248#386C2318yes—
249#386C2314yes—
250#386C23116yes—
251#386C2314yes—
252#386C2318yes—
253#386C23116yes—
254#385C2314yes—
255#385C2314yes—
256#385C23116yes—
257#385C23116yes—
258#385C2318yes—
259#385C2318yes—
260#384C2312yes—
261#383C2318yes—
262#383C2318yes—
263#382C2312yes—
264#382C2318yes—
265#382C2312yes—
266#382C2312yes—
267#382C2314yes—
268#381C23116yes—
269#381C2318yes—
270#381C2318yes—
271#381C2318yes—
272#380C23116yes—
273#380C23116yes—
274#380C2318yes—
275#380C23116yes—
276#380C2318yes—
277#380C2318yes—
278#380C2314yes—
279C4×C4⋊C4C23116yes—
280C4×C4⋊C4C2318yes—
281C4×C4⋊C4C2314yes—
282C4×C4⋊C4C2318yes—
283C4×C4⋊C4C23116yes—
284C4×C4⋊C4C23116yes—
285C4×C4⋊C4C2314yes—
286C4×C4⋊C4C2314yes—
287C4×C4⋊C4C2314yes—
288C4×C22⋊C4C23116yes—
289C4×C22⋊C4C23116yes—
290C4×C22⋊C4C2314yes—
291C4×C22⋊C4C23116yes—
292C4×C22⋊C4C2318yes—
293C4×C22⋊C4C23116yes—
294C4×C22⋊C4C23116yes—
295C4×C22⋊C4C2318yes—
296C4×C22⋊C4C23116yes—
297C4×C22⋊C4C2314yes—
298C4×C22⋊C4C2314yes—
299C4×C22⋊C4C2318yes—
300#376C2314yes—
301#376C2312yes—
302#376C2312yes—
303#376C2312yes—
304#376C2318yes—
305C2×#95C2314yes—
306C2×#95C23116yes—
307C2×#95C2318yes—
308C2×#95C2314yes—
309C43C2312yes—
3102−1+4—4128no—
311C2×#41—28no—
312C2×#41—28no—
313C2×#41—24no—
314C2×#41—24no—
315C2×#41—416no—
316C2×#41—416no—
317C2×#41—48no—
318C2×#41—48no—
319C2×#41—48no—
320C2×#41—48no—
321C2×#41C22×C418yes—
322C2×#41C22×C4116yes—
323C2×#41C22×C4132yes—
324C2×#41C22×C4164yes—
325C2×#41C22×C4132yes—
326C22×Q8—28no—
327C22×Q8—28no—
328C22×Q8—48no—
329C22×Q8—48no—
330C22×Q8—48no—
331C22×Q8—48no—
332C22×Q8C22×C4116yes—
333C22×Q8C22×C4132yes—
334C22×Q8C22×C4132yes—
335C22×Q8C2414yes—
336C22×Q8C2414yes—
337C22×Q8C2412yes—
338C22×Q8C2411yescharacteristic
339C22×Q8C2418yes—
340C22×D4C2414yes—
341C22×D4C2412yes—
342C22×D4C2412yes—
343C22×D4C2411yescharacteristic
344C22×D4C2414yes—
345C22×D4C2418yes—
346C23×C4C2414yes—
347C23×C4C2414yes—
348C23×C4C2412yes—
349C23×C4C2414yes—
350C23×C4C2412yes—
351C23×C4C2412yes—
352C23×C4C2418yes—
353C23×C4C2418yes—
354C23×C4C2412yes—
355C23×C4C2414yes—
356C23×C4C2418yes—
357C23×C4C2418yes—
358C23×C4C2411yescharacteristic
359C4⋊Q8C22×C418yes—
360C4⋊Q8C22×C4116yes—
361C4⋊Q8C22×C4116yes—
362C4⋊Q8C22×C4132yes—
363C4⋊Q8C22×C4132yes—
364C4⋊Q8C22×C4164yes—
365#127C22×C418yes—
366#124C22×C4116yes—
367#124C22×C4132yes—
368#123C22×C4164yes—
369#123C22×C41128yes—
370C22⋊Q8C22×C4164yes—
371C22⋊Q8C22×C41128yes—
372#121C22×C4132yes—
373#121C22×C4164yes—
374C4×Q8—416no—
375C4×Q8—416no—
376C4×Q8—48no—
377C4×Q8—416no—
378C4×Q8—416no—
379C4×Q8—48no—
380C4×Q8C22×C4116yes—
381C4×D4—48no—
382C4×D4—48no—
383C4×D4—416no—
384C4×D4—416no—
385C4×D4C22×C4132yes—
386C4×D4C22×C4116yes—
387C4×D4C22×C4132yes—
388C4×D4C22×C4164yes—
389#117—28no—
390#117—24no—
391#117—24no—
392#117—48no—
393#117—416no—
394#117—48no—
395#117C22×C4116yes—
396#117C22×C418yes—
397C2×C4⋊C4—28no—
398C2×C4⋊C4—48no—
399C2×C4⋊C4—48no—
400C2×C4⋊C4C22×C4132yes—
401C2×C4⋊C4C22×C4164yes—
402C2×C4⋊C4C2412yes—
403C2×C4⋊C4C2414yes—
404C2×C4⋊C4C2414yes—
405C2×C4⋊C4C2414yes—
406C2×C4⋊C4C2412yes—
407C2×C4⋊C4C2418yes—
408C2×C4⋊C4C24116yes—
409C2×C4⋊C4C2418yes—
410C2×C4⋊C4C24116yes—
411C2×C4⋊C4C2418yes—
412C2×C4⋊C4C2418yes—
413C2×C4⋊C4C2418yes—
414C2×C4⋊C4C2414yes—
415C2×C4⋊C4C2418yes—
416C2×C4⋊C4C24116yes—
417C2×C4⋊C4C2418yes—
418C2×C4⋊C4C2412yes—
419C2×C4⋊C4C2414yes—
420C2×C22⋊C4C2412yes—
421C2×C22⋊C4C2414yes—
422C2×C22⋊C4C2412yes—
423C2×C22⋊C4C2418yes—
424C2×C22⋊C4C2418yes—
425C2×C22⋊C4C2418yes—
426C2×C22⋊C4C24116yes—
427C2×C22⋊C4C2418yes—
428C2×C22⋊C4C24116yes—
429C2×C22⋊C4C2418yes—
430C2×C22⋊C4C2418yes—
431C2×C22⋊C4C2412yes—
432C2×C22⋊C4C2414yes—
433C2×C22⋊C4C24116yes—
434C2×C22⋊C4C2418yes—
435C2×C42—24no—
436C2×C42—24no—
437C2×C42—48no—
438C2×C42—48no—
439C2×C42C22×C418yes—
440C2×C42C22×C4116yes—
441C2×C42C2414yes—
442C2×C42C2412yes—
443C2×C42C2412yes—
444C2×C42C2412yes—
445C2×C42C2412yes—
446C2×C42C2412yes—
447C2×C42C2412yes—
448C2×C42C2418yes—
449C2×C42C24116yes—
450C2×C42C2418yes—
451C2×C42C24116yes—
452C2×C42C2418yes—
453C2×C42C24116yes—
454C2×C42C2411yescharacteristic
455C2×C42C2412yes—
456C2×C42C2412yes—
457C2×C42C2414yes—
458C2×C42C2411yescharacteristic
459#95C2418yes—
460#95C24116yes—
461#95C2414yes—
462#95C2414yes—
463#95C2414yes—
464#95C2414yes—
465#95C24116yes—
466#95C2418yes—
467#95C2418yes—
468#95C24116yes—
469#95C24116yes—
470#95C2414yes—
471#95C2418yes—
472#95C2418yes—
473#95C2418yes—
474#95C24116yes—
475#95C2414yes—
476#95C24116yes—
477#95C2418yes—
478#95C2418yes—
479#95C2418yes—
480#95C24116yes—
481C24C2514yes—
482C24C2512yes—
483C24C2511yescharacteristic
484#41—264no—
485#41—232no—
486#41—4128no—
487#41—464no—
488#41—464no—
489C2×Q8—264no—
490C2×Q8—28no—
491C2×Q8—28no—
492C2×Q8—28no—
493C2×Q8—28no—
494C2×Q8—24no—
495C2×Q8—24no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8—48no—
499C2×Q8—48no—
500C2×Q8—464no—
501C2×Q8—464no—
502C2×Q8C23×C414yes—
503C2×Q8C23×C4116yes—
504C2×Q8C23×C4116yes—
505C2×Q8C23×C418yes—
506C2×Q8C23×C4132yes—
507C2×D4—28no—
508C2×D4—28no—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—24no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—48no—
516C2×D4—48no—
517C2×D4—48no—
518C2×D4C23×C418yes—
519C2×D4C23×C414yes—
520C2×D4C23×C4116yes—
521C2×D4C23×C418yes—
522C2×D4C23×C4116yes—
523C2×D4C23×C4132yes—
524C22×C4—28no—
525C22×C4—28no—
526C22×C4—28no—
527C22×C4—28no—
528C22×C4—24no—
529C22×C4—24no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—28no—
533C22×C4—44no—
534C22×C4—48no—
535C22×C4—44no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—48no—
541C22×C4—48no—
542C22×C4—48no—
543C22×C4—48no—
544C22×C4—44no—
545C22×C4—48no—
546C22×C4—416no—
547C22×C4C23×C418yes—
548C22×C4C23×C4116yes—
549C22×C4C23×C4116yes—
550C22×C4C23×C4116yes—
551C22×C4C23×C418yes—
552C22×C4C23×C4132yes—
553C22×C4C23×C4132yes—
554C22×C4C23×C414yes—
555C22×C4H(5,𝔽2)14yes—
556C22×C4H(5,𝔽2)14yes—
557C22×C4C2514yes—
558C22×C4C2514yes—
559C22×C4C2518yes—
560C22×C4C2514yes—
561C22×C4C2518yes—
562C22×C4C2514yes—
563C22×C4C2512yes—
564C22×C4C2512yes—
565C22×C4C2512yes—
566C22×C4C2514yes—
567C22×C4C2514yes—
568C22×C4C2518yes—
569C22×C4C2511yescharacteristic
570C22×C4C2511yescharacteristic
571C4⋊C4—28no—
572C4⋊C4—28no—
573C4⋊C4—24no—
574C4⋊C4—28no—
575C4⋊C4—24no—
576C4⋊C4—48no—
577C4⋊C4—416no—
578C4⋊C4—48no—
579C4⋊C4—48no—
580C4⋊C4—48no—
581C4⋊C4—48no—
582C4⋊C4—416no—
583C4⋊C4C23×C4116yes—
584C4⋊C4C23×C4132yes—
585C4⋊C4C23×C4164yes—
586C4⋊C4C23×C4132yes—
587C4⋊C4C23×C4116yes—
588C4⋊C4C23×C418yes—
589C22⋊C4—24no—
590C22⋊C4—28no—
591C22⋊C4—24no—
592C22⋊C4—48no—
593C22⋊C4—416no—
594C22⋊C4—48no—
595C22⋊C4—416no—
596C22⋊C4—48no—
597C22⋊C4—48no—
598C22⋊C4—48no—
599C22⋊C4—48no—
600C22⋊C4C23×C4116yes—
601C22⋊C4C23×C418yes—
602C22⋊C4C23×C4132yes—
603C22⋊C4C23×C4164yes—
604C42—24no—
605C42—24no—
606C42—24no—
607C42—24no—
608C42—28no—
609C42—24no—
610C42—24no—
611C42—48no—
612C42—416no—
613C42—416no—
614C42—48no—
615C42—48no—
616C42—416no—
617C42C23×C414yes—
618C42C23×C414yes—
619C42C23×C418yes—
620C42C23×C4116yes—
621C42C23×C418yes—
622C23—24no—
623C23—24no—
624C23—24no—
625C23—22no—
626C23—22no—
627C23—28no—
628C23—28no—
629C23—28no—
630C23C24×C418yes—
631C23C24×C414yes—
632C23C24×C412yes—
633C23C2×H(5,𝔽2)12yes—
634C23C2×H(5,𝔽2)12yes—
635C23C2611yescharacteristic
636Q8—232no—
637Q8—232no—
638Q8—28no—
639Q8—216no—
640Q8—432no—
641D4—232no—
642D4—216no—
643D4—216no—
644D4—28no—
645D4—416no—
646D4—432no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—28no—
650C2×C4—28no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—28no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—232no—
657C2×C4—216no—
658C2×C4—232no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—28no—
663C2×C4—24no—
664C2×C4—28no—
665C2×C4—28no—
666C2×C4—28no—
667C2×C4—216no—
668C2×C4—28no—
669C2×C4—24no—
670C2×C4—28no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—48no—
675C2×C4—416no—
676C2×C4—432no—
677C2×C4—432no—
678C2×C4—48no—
679C2×C4—88no—
680C2×C4—84no—
681C2×C4—816no—
682C2×C4—168no—
683C2×C4#518116yes—
684C2×C4C24×C414yes—
685C2×C4C24×C414yes—
686C2×C4C24×C418yes—
687C2×C4C24×C414yes—
688C2×C4C24×C418yes—
689C2×C4C24×C4116yes—
690C2×C4C24×C412yes—
691C2×C4C24×C412yes—
692C2×C4C2×H(5,𝔽2)12yes—
693C2×C4C2×H(5,𝔽2)12yes—
694C2×C4C2×H(5,𝔽2)12yes—
695C2×C4C2×H(5,𝔽2)12yes—
696C22—24no—
697C22—24no—
698C22—24no—
699C22—24no—
700C22—28no—
701C22—28no—
702C22—216no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—48no—
707C22—44no—
708C22C2×#51814yes—
709C22C25×C411yescharacteristic
710C22C22×H(5,𝔽2)11yescharacteristic
711C22C22×H(5,𝔽2)11yescharacteristic
712C222−1+614yes—
713C4—24no—
714C4—28no—
715C4—216no—
716C4—24no—
717C4—24no—
718C4—28no—
719C4—44no—
720C4—48no—
721C4—44no—
722C4—44no—
723C4—48no—
724C4—44no—
725C4C2×#51814yes—
726C4C2×#51814yes—
727C2—24no—
728C2—44no—
729C2—48no—
730C2C22×#51811yescharacteristic
731C2#6265312yes—
732C2#6288712yes—
733C2#6288812yes—
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3499C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34475C2semidirect
3. #34473C2semidirect
4. #34469C2semidirect
5. #34439C2semidirect
6. #34402C2semidirect
7. #34371C2semidirect
8. #34268C2semidirect
9. #34266C2semidirect
10. #34259C2semidirect
11. #34257C2semidirect
12. #34209C2semidirect
13. #34208C2semidirect
14. #34189C2semidirect
15. #34070C2semidirect
16. C2×#2327C2semidirect
17. #34056C2semidirect
19. #3499C4semidirect
118. C2×2−1+4C2×C4semidirect
127. D4×Q8C2×C4semidirect
128. #547C2×C4semidirect
129. #547C2×C4semidirect
130. #536C2×C4semidirect
131. #536C2×C4semidirect
133. #532C2×C4semidirect
134. C2×C4⋊Q8C2×C4semidirect
135. C2×C4⋊Q8C2×C4semidirect
154. C4×#41C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#34992
#344752
#344732
#344692
#344392
#344022
#343712
#342682
#342662
#342592
#342572
#342092
#342082
#341892
#340702
C2×#23272
#340562