Finite Group Databasebeta

← #7671701

Subgroups — #7671701

Order 512.

5074 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60047C212yesmaximal, complemented
2#60044C212yesmaximal, complemented
3#59991C214yesmaximal, complemented
4#59928C212yesmaximal, complemented
5#59878C212yesmaximal, complemented
6#59516C214yesmaximal, complemented
7#39740C211yesmaximal, characteristic, complemented
8#39621C211yesmaximal, characteristic, complemented
9#39501C211yesmaximal, characteristic, complemented
10#39381C211yesmaximal, characteristic, complemented
11#38829C212yesmaximal, complemented
12#38828C212yesmaximal, complemented
13#38821C212yesmaximal, complemented
14#38820C212yesmaximal, complemented
15#37952C212yesmaximal, complemented
16#37773C212yesmaximal, complemented
17#36639C211yesmaximal, characteristic, complemented
18#36504C212yesmaximal, complemented
19#36413C214yesmaximal, complemented
20#36385C212yesmaximal, complemented
21#36373C212yesmaximal, complemented
22#36347C214yesmaximal, complemented
23#36288C212yesmaximal, complemented
24#35637C212yesmaximal, complemented
25#35607C212yesmaximal, complemented
26#35318C212yesmaximal, complemented
27#35220C212yesmaximal, complemented
28#34326C212yesmaximal, complemented
29#34279C212yesmaximal, complemented
30C4×#533C211yesmaximal, characteristic, complemented
31#34026C211yesmaximal, characteristic, complemented
32C2×#556C2212yes—
33C2×#542C2212yes—
34C2×#542C2212yes—
35C2×#541C2212yes—
36C2×#533C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40#2862C2211yescharacteristic
41#2862C2211yescharacteristic
42#2862C2212yes—
43#2861C2212yes—
44#2861C2212yes—
45#2861C2212yes—
46#2861C2214yes—
47#2860C2214yes—
48#2858C2211yescharacteristic
49#2858C2211yescharacteristic
50#2857C2212yes—
51#2850C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2850C2212yes—
55#2850C2212yes—
56#2811C2212yes—
57#2809C2212yes—
58#2809C2212yes—
59#2808C2212yes—
60#2808C2212yes—
61#2806C2212yes—
62#2806C2212yes—
63#2785C2214yes—
64#2781C2214yes—
65#2744C2214yes—
66#2734C2212yes—
67#2733C2212yes—
68#2732C2212yes—
69#2732C2212yes—
70#2732C2212yes—
71#2732C2214yes—
72#2730C2214yes—
73#2727C2212yes—
74#2727C2212yes—
75#2727C2212yes—
76#2721C2214yes—
77#2694C2214yes—
78#2686C2214yes—
79#2682C2212yes—
80#2664C2214yes—
81#2662C2214yes—
82#2660C2212yes—
83#2658C2212yes—
84#2621C2212yes—
85#2620C2212yes—
86#2612C2214yes—
87#2612C2214yes—
88#2611C2214yes—
89#2610C2214yes—
90#2609C2214yes—
91#2604C2214yes—
92#2602C2214yes—
93#2601C2214yes—
94#2593C2214yes—
95#2593C2214yes—
96#2586C2214yes—
97#2574C2214yes—
98#2574C2214yes—
99#2574C2214yes—
100#2574C2214yes—
101#2565C2214yes—
102#2564C2214yes—
103#2560C2214yes—
104#2560C2214yes—
105#2559C2214yes—
106#2558C2214yes—
107#2556C2214yes—
108#2556C2214yes—
109#2556C2214yes—
110#2556C2214yes—
111#2555C2214yes—
112#2554C2214yes—
113#2554C2214yes—
114#2553C2214yes—
115#2553C2214yes—
116#2551C2212yes—
117#2550C2212yes—
118#2550C2212yes—
119#2546C2212yes—
120#2545C2212yes—
121#2544C2212yes—
122#2542C2212yes—
123#2540C2212yes—
124#2540C2212yes—
125#2537C2212yes—
126#2536C2212yes—
127#2536C2212yes—
128#2532C2214yes—
129#2532C2214yes—
130#2532C2214yes—
131#2529C2214yes—
132#2526C2214yes—
133#2521C2214yes—
134#2521C2214yes—
135#2521C2214yes—
136#2519C2214yes—
137#2519C2214yes—
138#2519C2214yes—
139#2518C2214yes—
140#2508C2214yes—
141#2506C2214yes—
142#2492C2212yes—
143#2492C2212yes—
144#2492C2212yes—
145#2491C2212yes—
146#2491C2214yes—
147#2490C2212yes—
148#2489C2212yes—
149#2479C2214yes—
150#2479C2214yes—
151#2479C2214yes—
152#2479C2214yes—
153#2479C2214yes—
154#2476C2214yes—
155#2476C2214yes—
156#2474C2214yes—
157#2474C2214yes—
158#2474C2214yes—
159#2471C2214yes—
160#2467C2214yes—
161#2467C2214yes—
162#2459C2214yes—
163#2451C2214yes—
164#2448C2214yes—
165#2439C2214yes—
166#2432C2214yes—
167#2430C2214yes—
168#2429C2212yes—
169#2429C2212yes—
170#2429C2212yes—
171#2428C2212yes—
172#2427C2212yes—
173#2426C2212yes—
174#2426C2214yes—
175#2423C2214yes—
176#2423C2214yes—
177#2407C2214yes—
178#2374C2214yes—
179#2373C2214yes—
180#2373C2214yes—
181#2373C2214yes—
182#2373C2214yes—
183#2372C2214yes—
184#2372C2214yes—
185#2372C2214yes—
186#2369C2214yes—
187#2368C2214yes—
188#2368C2214yes—
189#2367C2212yes—
190#2367C2212yes—
191#2367C2214yes—
192#2365C2212yes—
193#2363C2214yes—
194#2363C2214yes—
195#2362C2214yes—
196#2359C2214yes—
197#2357C2212yes—
198#2356C2212yes—
199#2355C2212yes—
200#2355C2212yes—
201#2354C2214yes—
202#2346C2214yes—
203#2346C2214yes—
204#2343C2214yes—
205#2334C2214yes—
206#2332C2214yes—
207#2331C2212yes—
208#2327C2212yes—
209#2326C2212yes—
210#2326C2212yes—
211#2324C2212yes—
212#2323C2212yes—
213#2314C2212yes—
214C4×C4⋊Q8C2211yescharacteristic
215C4×C4⋊Q8C2211yescharacteristic
216C4×C4⋊Q8C2211yescharacteristic
217C4×C4⋊Q8C2211yescharacteristic
218C4×#125C2212yes—
219C4×#125C2212yes—
220C4×#126C2214yes—
221C4×#124C2212yes—
222C4×#124C2212yes—
223C4×#124C2212yes—
224C4×#124C2212yes—
225C4×C22⋊Q8C2212yes—
226C4×C22⋊Q8C2212yes—
227C4×C22⋊Q8C2212yes—
228C4×C22⋊Q8C2212yes—
229C4×C22⋊Q8C2212yes—
230C4×#121C2212yes—
231#2298C2214yes—
232#2298C2212yes—
233#2298C2212yes—
234#2297C2212yes—
235#2297C2212yes—
236#2297C2211yescharacteristic
237#2297C2211yescharacteristic
238#2296C2212yes—
239#2296C2211yescharacteristic
240#2296C2211yescharacteristic
241#2295C2212yes—
242#2295C2211yescharacteristic
243#2295C2211yescharacteristic
244#2295C2212yes—
245#2295C2212yes—
246#2295C2211yescharacteristic
247#2295C2211yescharacteristic
248#2293C2212yes—
249#2293C2211yescharacteristic
250#2293C2211yescharacteristic
251#2293C2211yescharacteristic
252#2293C2211yescharacteristic
253#2290C2212yes—
254#2290C2212yes—
255#2290C2212yes—
256#2290C2212yes—
257#2285C2211yescharacteristic
258#2276C2212yes—
259#2275C2212yes—
260C42×Q8C2212yes—
261C42×Q8C2212yes—
262C4×#117C2212yes—
263C4×#117C2211yescharacteristic
264C4×#117C2212yes—
265C4×#117C2212yes—
266C2×C43C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269#556—216no—
270#542—216no—
271#542—48no—
272#541—48no—
273#533—28no—
274#533—44no—
275#532—44no—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2314yes—
284C2×C4⋊Q8C2311yescharacteristic
285C2×#127C2311yescharacteristic
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#125C2312yes—
293C2×#125C2314yes—
294C2×#125C2312yes—
295C2×#125C2312yes—
296C2×#125C2314yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2314yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C4×#41—28no—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2314yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2314yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#399C2314yes—
374#399C2314yes—
375#399C2314yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#395C2314yes—
408#395C2314yes—
409#395C2314yes—
410#395C2314yes—
411#395C2314yes—
412#395C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#393C2314yes—
427#393C2314yes—
428#393C2314yes—
429#393C2314yes—
430#392C2314yes—
431#392C2314yes—
432#392C2314yes—
433#391C2314yes—
434#391C2314yes—
435#391C2312yes—
436#391C2312yes—
437#391C2312yes—
438#391C2312yes—
439#391C2314yes—
440#391C2312yes—
441#391C2314yes—
442#391C2314yes—
443#391C2314yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2314yes—
450#391C2314yes—
451#391C2311yescharacteristic
452#391C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2311yescharacteristic
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#390C2314yes—
464#390C2314yes—
465#390C2312yes—
466#390C2314yes—
467#390C2312yes—
468#390C2312yes—
469#390C2314yes—
470#390C2312yes—
471#390C2312yes—
472#390C2312yes—
473#390C2312yes—
474#390C2314yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2314yes—
479#390C2314yes—
480#390C2314yes—
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2311yescharacteristic
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2312yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#387C2312yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2312yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#386C2312yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2312yes—
618#386C2312yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2312yes—
630#385C2312yes—
631#385C2312yes—
632#385C2312yes—
633#384C2311yescharacteristic
634#384C2311yescharacteristic
635#384C2314yes—
636#384C2312yes—
637#383C2314yes—
638#382C2312yes—
639#382C2314yes—
640#382C2312yes—
641#382C2312yes—
642#382C2314yes—
643#382C2312yes—
644#382C2314yes—
645#382C2312yes—
646#382C2312yes—
647#382C2314yes—
648#381C2314yes—
649#380C2314yes—
650#380C2314yes—
651#380C2312yes—
652#380C2312yes—
653#380C2314yes—
654#380C2314yes—
655#380C2312yes—
656#380C2312yes—
657C4×C4⋊C4C2314yes—
658C4×C4⋊C4C2314yes—
659C4×C4⋊C4C2314yes—
660C4×C4⋊C4C2314yes—
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2314yes—
667C4×C4⋊C4C2314yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2311yescharacteristic
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2311yescharacteristic
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722#376C2312yes—
723#376C2312yes—
724#376C2314yes—
725#376C2312yes—
726#376C2314yes—
727#376C2314yes—
728#376C2314yes—
729#376C2312yes—
730#376C2312yes—
731C2×#95C2314yes—
732C43C2314yes—
733C43C2311yescharacteristic
734C43C2311yescharacteristic
735C43C2311yescharacteristic
736C43C2311yescharacteristic
737C43C2311yescharacteristic
738C43C2311yescharacteristic
739C43C2312yes—
740C43C2311yescharacteristic
741C43C2311yescharacteristic
742C2×#41—24no—
743C2×#41—42no—
744C2×#41—44no—
745C2×#41—42no—
746C2×#41—44no—
747C2×#41—44no—
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×Q8C2412yes—
752C22×Q8C2414yes—
753C22×Q8C2412yes—
754C22×Q8C2411yescharacteristic
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2411yescharacteristic
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2412yes—
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2411yescharacteristic
776C4⋊Q8—24no—
777C4⋊Q8—28no—
778C4⋊Q8—42no—
779C4⋊Q8—42no—
780C4⋊Q8—44no—
781C4⋊Q8—42no—
782C4⋊Q8—44no—
783C4⋊Q8—48no—
784C4⋊Q8#4118yescomplemented
785#127—42no—
786#126—216no—
787#126—216no—
788#126—216no—
789#126—48no—
790#126—48no—
791#126—48no—
792#125—28no—
793#125—44no—
794#125—44no—
795#125—48no—
796#125—48no—
797#124—216no—
798#124—28no—
799#124—28no—
800#124—28no—
801#124—28no—
802#124—44no—
803#124—44no—
804#124—48no—
805#124—44no—
806#124—48no—
807#123—216no—
808#123—48no—
809C22⋊Q8—28no—
810C22⋊Q8—216no—
811C22⋊Q8—216no—
812C22⋊Q8—28no—
813C22⋊Q8—28no—
814C22⋊Q8—44no—
815C22⋊Q8—48no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820#121—28no—
821#121—44no—
822#121—48no—
823#121—48no—
824#121—44no—
825#121—44no—
826C4×Q8—24no—
827C4×Q8—28no—
828C4×Q8—28no—
829C4×Q8—28no—
830C4×Q8—28no—
831C4×Q8—28no—
832C4×Q8—28no—
833C4×Q8—28no—
834C4×Q8—44no—
835C4×Q8—44no—
836C4×Q8—44no—
837C4×Q8#4118yescomplemented
838C4×D4—28no—
839C4×D4—24no—
840C4×D4—28no—
841C4×D4—28no—
842C4×D4—24no—
843C4×D4—28no—
844C4×D4—28no—
845C4×D4—44no—
846C4×D4—48no—
847#117—28no—
848#117—24no—
849#117—28no—
850#117—216no—
851#117—28no—
852#117—28no—
853#117—28no—
854#117—42no—
855#117—44no—
856#117—44no—
857#117—48no—
858#117—44no—
859#117—42no—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C42—28no—
962C2×C42—24no—
963C2×C42—24no—
964C2×C42—24no—
965C2×C42—24no—
966C2×C42—42no—
967C2×C42—42no—
968C2×C42—42no—
969C2×C42C2412yes—
970C2×C42C2411yescharacteristic
971C2×C42C2411yescharacteristic
972C2×C42C2412yes—
973C2×C42C2412yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2411yescharacteristic
981C2×C42C2411yescharacteristic
982C2×C42C2412yes—
983C2×C42C2411yescharacteristic
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987C2×C42C2414yes—
988C2×C42C2414yes—
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019#95C2412yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075C24C2514yes—
1076C24C2512yes—
1077C24C2511yescharacteristic
1078#41—416no—
1079#41—816no—
1080C2×Q8—24no—
1081C2×Q8—24no—
1082C2×Q8—24no—
1083C2×Q8—24no—
1084C2×Q8—24no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—42no—
1089C2×Q8—42no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×Q8—42no—
1093C2×Q8—42no—
1094C2×Q8—42no—
1095C2×Q8—42no—
1096C2×Q8—44no—
1097C2×Q8—44no—
1098C2×Q8—44no—
1099C2×Q8C2×#4114yes—
1100C2×Q8C2×#4118yes—
1101C2×D4—24no—
1102C2×D4—28no—
1103C2×D4—22no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—28no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—24no—
1135C22×C4—22no—
1136C22×C4—24no—
1137C22×C4—22no—
1138C22×C4—24no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—24no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—24no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—28no—
1150C22×C4—28no—
1151C22×C4—28no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2514yes—
1167C22×C4C2514yes—
1168C22×C4C2511yescharacteristic
1169C22×C4C2514yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2514yes—
1173C22×C4C2511yescharacteristic
1174C22×C4C2514yes—
1175C22×C4C2514yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2511yescharacteristic
1179C22×C4C2511yescharacteristic
1180C22×C4C2512yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2514yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C4⋊C4—22no—
1193C4⋊C4—24no—
1194C4⋊C4—24no—
1195C4⋊C4—28no—
1196C4⋊C4—24no—
1197C4⋊C4—24no—
1198C4⋊C4—24no—
1199C4⋊C4—28no—
1200C4⋊C4—28no—
1201C4⋊C4—28no—
1202C4⋊C4—28no—
1203C4⋊C4—28no—
1204C4⋊C4—24no—
1205C4⋊C4—28no—
1206C4⋊C4—28no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—28no—
1213C4⋊C4—28no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—28no—
1217C4⋊C4—24no—
1218C4⋊C4—28no—
1219C4⋊C4—42no—
1220C4⋊C4—44no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—44no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4C2×#4118yes—
1246C4⋊C4C2×#4114yes—
1247C4⋊C4C2×#4118yes—
1248C4⋊C4C2×#4118yes—
1249C22⋊C4—28no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—24no—
1254C22⋊C4—28no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—28no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—24no—
1268C22⋊C4—24no—
1269C22⋊C4—28no—
1270C22⋊C4—24no—
1271C22⋊C4—24no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—24no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C42—22no—
1294C42—22no—
1295C42—24no—
1296C42—22no—
1297C42—24no—
1298C42—22no—
1299C42—22no—
1300C42—22no—
1301C42—24no—
1302C42—28no—
1303C42—28no—
1304C42—28no—
1305C42—28no—
1306C42—22no—
1307C42—22no—
1308C42—22no—
1309C42—24no—
1310C42—28no—
1311C42—28no—
1312C42—22no—
1313C42—22no—
1314C42—22no—
1315C42—24no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—24no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—42no—
1330C42—44no—
1331C42—42no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C42—44no—
1338C42C2×#4114yes—
1339C42C2×#4118yes—
1340C42C2×#4114yes—
1341C42H(5,𝔽2)14yes—
1342C422−1+414yes—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—24no—
1350C23—24no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—24no—
1355C23—22no—
1356C23—24no—
1357C23—24no—
1358C23—22no—
1359C23—22no—
1360C23—24no—
1361C23—22no—
1362C23—24no—
1363C23#58512yes—
1364C23C2611yescharacteristic
1365Q8—48no—
1366Q8—44no—
1367Q8—48no—
1368Q8—48no—
1369Q8—84no—
1370Q8—84no—
1371Q8—164no—
1372D4—48no—
1373D4—44no—
1374D4—48no—
1375D4—88no—
1376D4—84no—
1377D4—84no—
1378D4—88no—
1379D4—164no—
1380C2×C4—28no—
1381C2×C4—28no—
1382C2×C4—28no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—22no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—24no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—44no—
1451C2×C4—48no—
1452C2×C4—44no—
1453C2×C4—48no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—48no—
1457C2×C4—88no—
1458C2×C4—88no—
1459C2×C4—88no—
1460C2×C4C22×#4112yes—
1461C2×C4C22×#4114yes—
1462C2×C4C22×#4118yes—
1463C2×C4C22×#4112yes—
1464C2×C4C22×#4112yes—
1465C2×C4C22×#4112yes—
1466C2×C4C22×#4114yes—
1467C2×C4C22×#4112yes—
1468C2×C4C22×#4112yes—
1469C2×C4C2×H(5,𝔽2)12yes—
1470C2×C4C2×H(5,𝔽2)12yes—
1471C2×C4C2×H(5,𝔽2)12yes—
1472C2×C4C2×2−1+412yes—
1473C2×C4C2×2−1+412yes—
1474C2×C4C2×2−1+412yes—
1475C2×C4#58512yes—
1476C2×C4#58512yes—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—44no—
1485C22—42no—
1486C22—42no—
1487C22—44no—
1488C22—42no—
1489C22—44no—
1490C22—42no—
1491C22—44no—
1492C22—44no—
1493C22—42no—
1494C22—44no—
1495C22—42no—
1496C22—42no—
1497C22—44no—
1498C22C23×#4111yescharacteristic
1499C22C23×#4111yescharacteristic
1500C22C22×H(5,𝔽2)11yescharacteristic
1501C22C22×2−1+411yescharacteristic
1502C22C2×#58511yescharacteristic
1503C22C2×#58511yescharacteristic
1504C22C2×#58511yescharacteristic
1505C4—22no—
1506C4—28no—
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—24no—
1512C4—22no—
1513C4—22no—
1514C4—24no—
1515C4—22no—
1516C4—22no—
1517C4—22no—
1518C4—22no—
1519C4—41no—
1520C4—42no—
1521C4—42no—
1522C4—44no—
1523C4—44no—
1524C4—44no—
1525C4—42no—
1526C4—42no—
1527C4—44no—
1528C4—41no—
1529C4—42no—
1530C4—44no—
1531C4—44no—
1532C4#348314yes—
1533C2—42no—
1534C2—84no—
1535C2—82no—
1536C2C2×#348311yescharacteristic
1537C2#6278111yescharacteristic
1538C2#6278811yescharacteristic
1539C2#6280511yescharacteristic
1540C2#6281411yescharacteristic
1541C2#6282411yescharacteristic
1542C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60047C2semidirect
2. #60044C2semidirect
3. #59991C2semidirect
4. #59928C2semidirect
5. #59878C2semidirect
6. #59516C2semidirect
7. #39740C2semidirect
8. #39621C2semidirect
9. #39501C2semidirect
10. #39381C2semidirect
11. #38829C2semidirect
12. #38828C2semidirect
13. #38821C2semidirect
14. #38820C2semidirect
15. #37952C2semidirect
16. #37773C2semidirect
17. #36639C2semidirect
18. #36504C2semidirect
19. #36413C2semidirect
20. #36385C2semidirect
21. #36373C2semidirect
22. #36347C2semidirect
23. #36288C2semidirect
24. #35637C2semidirect
25. #35607C2semidirect
26. #35318C2semidirect
27. #35220C2semidirect
28. #34326C2semidirect
29. #34279C2semidirect
30. C4×#533C2semidirect
31. #34026C2semidirect
784. C4⋊Q8#41semidirect
837. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600472
#600442
#599912
#599282
#598782
#595162
#397402
#396212
#395012
#393812
#388292
#388282
#388212
#388202
#379522
#377732
#366392
#365042
#364132
#363852
#363732
#363472
#362882
#356372
#356072
#353182
#352202
#343262
#342792
C4×#5332
#340262