Finite Group Databasebeta

← #8751600

Subgroups — #8751600

Order 512.

5500 conjugacy classes of subgroups.

The subgroup lattice has 1588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59005C212yesmaximal, complemented
2#59001C211yesmaximal, characteristic, complemented
3#58924C212yesmaximal, complemented
4#58898C214yesmaximal, complemented
5#58246C214yesmaximal, complemented
6#58122C214yesmaximal, complemented
7#57001C214yesmaximal, complemented
8#53044C212yesmaximal, complemented
9#52966C211yesmaximal, characteristic, complemented
10#52409C214yesmaximal, complemented
11#52405C212yesmaximal, complemented
12#47122C212yesmaximal, complemented
13#45419C211yesmaximal, characteristic, complemented
14#45319C212yesmaximal, complemented
15#45307C212yesmaximal, complemented
16#45282C212yesmaximal, complemented
17#45268C212yesmaximal, complemented
18#42900C212yesmaximal, complemented
19#42893C212yesmaximal, complemented
20#42890C211yesmaximal, characteristic, complemented
21#42889C212yesmaximal, complemented
22#42838C212yesmaximal, complemented
23#41172C214yesmaximal, complemented
24#41001C212yesmaximal, complemented
25#39861C212yesmaximal, complemented
26#39133C211yesmaximal, characteristic, complemented
27#36675C211yesmaximal, characteristic, complemented
28#35757C212yesmaximal, complemented
29#35687C211yesmaximal, characteristic, complemented
30C22×2−1+4C2211yescharacteristic, complemented
31C2×#559C2211yescharacteristic, complemented
32C2×#556C2212yescomplemented
33C2×#550C2212yes—
34C2×D4×Q8C2212yes—
35C2×#548C2212yes—
36C2×#548C2211yescharacteristic
37C2×#548C2212yes—
38C2×#525C2212yes—
39C22×C22⋊Q8C2211yescharacteristic
40#2847C2211yescharacteristic
41#2840C2211yescharacteristic
42#2835C2211yescharacteristic
43#2835C2212yes—
44#2830C2214yes—
45#2830C2212yescomplemented
46#2829C2214yes—
47#2829C2214yescomplemented
48#2829C2214yescomplemented
49#2828C2214yes—
50#2828C2214yes—
51#2825C2214yescomplemented
52#2824C2211yescharacteristic
53#2824C2212yes—
54#2824C2212yes—
55#2824C2212yes—
56#2824C2212yes—
57#2819C2212yescomplemented
58#2818C2214yes—
59#2815C2212yes—
60#2813C2214yes—
61#2812C2212yes—
62#2812C2211yescharacteristic
63#2808C2214yescomplemented
64#2803C2214yes—
65#2803C2214yescomplemented
66#2797C2214yescomplemented
67#2787C2214yescomplemented
68#2786C2214yes—
69#2780C2214yescomplemented
70#2764C2212yes—
71#2762C2214yescomplemented
72#2760C2212yes—
73#2759C2214yes—
74#2755C2214yescomplemented
75#2754C2214yes—
76#2750C2214yescomplemented
77#2742C2214yescomplemented
78#2741C2214yes—
79#2732C2214yes—
80#2730C2214yes—
81#2722C2212yescomplemented
82#2716C2214yescomplemented
83#2716C2214yescomplemented
84#2715C2214yes—
85#2714C2214yes—
86#2714C2214yes—
87#2714C2214yes—
88#2714C2214yescomplemented
89#2712C2214yes—
90#2710C2214yes—
91#2710C2214yescomplemented
92#2709C2214yes—
93#2708C2214yes—
94#2708C2214yes—
95#2705C2214yescomplemented
96#2700C2214yes—
97#2699C2212yescomplemented
98#2696C2214yescomplemented
99#2692C2214yes—
100#2692C2214yescomplemented
101#2691C2214yes—
102#2689C2214yescomplemented
103#2687C2214yescomplemented
104#2686C2214yes—
105#2682C2214yes—
106#2681C2214yes—
107#2676C2214yes—
108#2676C2214yescomplemented
109#2674C2214yes—
110#2673C2214yes—
111#2673C2214yes—
112#2671C2214yes—
113#2670C2212yes—
114#2669C2212yes—
115#2669C2214yes—
116#2668C2214yes—
117#2662C2214yescomplemented
118#2661C2214yes—
119#2657C2211yescharacteristic, complemented
120#2653C2214yes—
121#2651C2214yescomplemented
122#2649C2214yescomplemented
123#2648C2214yes—
124#2644C2212yescomplemented
125#2636C2214yescomplemented
126#2635C2214yes—
127#2631C2212yes—
128#2631C2212yescomplemented
129#2619C2214yes—
130#2618C2212yes—
131#2616C2211yescharacteristic, complemented
132#2616C2212yescomplemented
133#2615C2214yes—
134#2615C2212yescomplemented
135#2607C2212yes—
136#2600C2214yes—
137#2598C2214yescomplemented
138#2597C2214yescomplemented
139#2592C2211yescharacteristic, complemented
140#2588C2214yescomplemented
141#2587C2214yescomplemented
142#2582C2212yescomplemented
143#2582C2212yescomplemented
144#2581C2212yescomplemented
145#2577C2214yescomplemented
146#2574C2214yescomplemented
147#2557C2214yes—
148#2553C2214yes—
149#2548C2212yescomplemented
150#2543C2214yes—
151#2541C2211yescharacteristic
152#2540C2212yes—
153#2539C2212yes—
154#2538C2212yes—
155#2537C2212yes—
156#2535C2212yes—
157#2535C2212yes—
158#2534C2212yes—
159#2523C2212yescomplemented
160#2518C2214yes—
161#2501C2211yescharacteristic
162#2500C2212yes—
163#2497C2212yescomplemented
164#2496C2212yescomplemented
165#2494C2212yescomplemented
166#2486C2211yescharacteristic
167#2485C2212yes—
168#2477C2214yes—
169#2477C2214yescomplemented
170#2476C2214yes—
171#2472C2214yes—
172#2467C2214yes—
173#2467C2214yes—
174#2466C2214yescomplemented
175#2464C2214yes—
176#2463C2212yes—
177#2463C2214yes—
178#2461C2214yes—
179#2459C2214yescomplemented
180#2456C2214yes—
181#2452C2214yes—
182#2450C2214yescomplemented
183#2450C2214yescomplemented
184#2449C2214yes—
185#2438C2214yescomplemented
186#2436C2214yes—
187#2436C2212yes—
188#2436C2212yescomplemented
189#2434C2212yescomplemented
190#2434C2211yescharacteristic, complemented
191#2432C2212yes—
192#2432C2212yescomplemented
193#2432C2214yescomplemented
194#2431C2212yes—
195#2431C2214yes—
196#2431C2214yes—
197#2431C2212yescomplemented
198#2431C2212yescomplemented
199#2429C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yescomplemented
203#2427C2212yescomplemented
204#2426C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2426C2212yescomplemented
208#2425C2214yescomplemented
209#2424C2214yes—
210#2423C2212yes—
211#2423C2212yes—
212#2423C2212yescomplemented
213#2422C2212yescomplemented
214#2421C2212yes—
215#2420C2212yescomplemented
216#2416C2212yes—
217#2415C2212yes—
218#2414C2212yes—
219#2409C2212yes—
220#2409C2211yescharacteristic
221#2409C2212yes—
222#2409C2214yescomplemented
223#2407C2214yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2214yescomplemented
228#2407C2214yescomplemented
229#2398C2212yes—
230#2398C2212yes—
231#2398C2211yescharacteristic
232#2398C2212yes—
233#2398C2212yes—
234#2388C2212yes—
235#2388C2212yes—
236#2388C2211yescharacteristic
237#2388C2214yescomplemented
238#2366C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2361C2214yes—
242#2360C2212yes—
243#2341C2212yescomplemented
244#2341C2211yescharacteristic, complemented
245Q8×C22⋊C4C2211yescharacteristic
246Q8×C22⋊C4C2212yescomplemented
247Q8×C22⋊C4C2212yescomplemented
248Q8×C22⋊C4C2212yescomplemented
249#2339C2212yes—
250#2327C2212yescomplemented
251#2326C2212yescomplemented
252#2326C2212yescomplemented
253#2325C2214yes—
254#2322C2212yes—
255#2320C2212yescomplemented
256#2320C2211yescharacteristic, complemented
257C4×#120C2211yescharacteristic
258C4×#120C2212yes—
259C2×2−1+4—44no—
260C2×2−1+4—48no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2312yes—
264C22×#41C2314yes—
265C22×#41C2311yescharacteristic
266C22×#41C2312yes—
267C23×Q8C2311yescharacteristic
268C23×Q8C2312yes—
269C23×Q8C2311yescharacteristic
270C23×Q8C2312yes—
271C24×C4C2311yescharacteristic
272#559—44no—
273#556—48no—
274#550—48no—
275D4×Q8—48no—
276#548—44no—
277#548—48no—
278#548—48no—
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2314yes—
281C2×#127C2314yes—
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2311yescharacteristic
285C2×#126C2314yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2311yescharacteristic
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297#525—48no—
298C2×#123C2312yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2312yes—
302C2×#123C2312yes—
303C2×#123C2314yes—
304C2×C22⋊Q8—44no—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2311yescharacteristic
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#120C2314yes—
336C2×#120C2312yes—
337C2×#120C2311yescharacteristic
338C2×#120C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C22⋊C4C2312yes—
367#401C2314yes—
368#400C2312yes—
369#400C2312yes—
370#400C2312yes—
371#400C2312yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2312yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2312yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#397C2312yes—
396#397C2312yes—
397#397C2311yescharacteristic
398#397C2312yes—
399#397C2312yes—
400#397C2312yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2312yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2312yes—
413#397C2312yes—
414#397C2312yes—
415#397C2312yes—
416#397C2311yescharacteristic
417#397C2314yes—
418#397C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#395C2314yes—
430#395C2312yes—
431#395C2311yescharacteristic
432#395C2312yes—
433#395C2314yes—
434#395C2312yes—
435#395C2312yes—
436#395C2312yes—
437#394C2312yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2312yes—
446#394C2312yes—
447#394C2311yescharacteristic
448#394C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#393C2311yescharacteristic
481#393C2312yes—
482#393C2314yes—
483#393C2312yes—
484#393C2312yes—
485#393C2312yes—
486#393C2312yes—
487#393C2311yescharacteristic
488#393C2312yes—
489#393C2312yes—
490#393C2312yes—
491#393C2312yes—
492#393C2312yes—
493#393C2314yes—
494#393C2311yescharacteristic
495#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2314yes—
508#392C2312yes—
509#392C2312yes—
510#392C2311yescharacteristic
511#392C2312yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2312yes—
524#392C2314yes—
525#392C2312yes—
526#392C2314yes—
527#392C2314yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2312yes—
537#391C2314yes—
538#391C2314yes—
539#391C2314yes—
540#391C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#386C2312yes—
620#386C2311yescharacteristic
621#386C2312yes—
622#386C2312yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#385C2311yescharacteristic
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#384C2312yes—
673#384C2312yes—
674#383C2314yes—
675#383C2312yes—
676#382C2312yes—
677#382C2314yes—
678#382C2312yes—
679#381C2312yes—
680#381C2314yes—
681#381C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2311yescharacteristic
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2314yes—
693#380C2312yes—
694#380C2311yescharacteristic
695#380C2312yes—
696#380C2314yes—
697#379C2312yes—
698#379C2311yescharacteristic
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2311yescharacteristic
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720#376C2311yescharacteristic
721#376C2312yes—
722C2×#95C2314yes—
723C25C2411yescharacteristic
7242−1+4—464no—
725C2×#41—24no—
726C2×#41—28no—
727C2×#41—28no—
728C2×#41—42no—
729C2×#41—44no—
730C2×#41—48no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—48no—
734C2×#41—44no—
735C2×#41—48no—
736C2×#41—44no—
737C2×#41—48no—
738C2×#41—44no—
739C2×#41—44no—
740C22×Q8—28no—
741C22×Q8—28no—
742C22×Q8—28no—
743C22×Q8—24no—
744C22×Q8—44no—
745C22×Q8—48no—
746C22×Q8—42no—
747C22×Q8—44no—
748C22×Q8—44no—
749C22×Q8C2411yescharacteristic
750C22×Q8C2412yes—
751C22×Q8C2414yes—
752C22×Q8C2411yescharacteristic
753C22×Q8C2412yes—
754C22×Q8C2412yes—
755C22×Q8C2412yes—
756C22×Q8C2411yescharacteristic
757C22×Q8C2411yescharacteristic
758C22×D4C2412yes—
759C22×D4C2411yescharacteristic
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2411yescharacteristic
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2411yescharacteristic
781C23×C4—42no—
782C23×C4—44no—
783C23×C4C2411yescharacteristic
784C23×C4C2412yes—
785C23×C4C2411yescharacteristic
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2414yes—
796C23×C4C2414yes—
797C23×C4C2412yes—
798C4⋊Q8—28no—
799C4⋊Q8—48no—
800#127—48no—
801#127—44no—
802#127—42no—
803#127—44no—
804#126—48no—
805#126—48no—
806#126—84no—
807#124—28no—
808#124—28no—
809#124—44no—
810#124—44no—
811#124—42no—
812#124—44no—
813#124—48no—
814#124—48no—
815#124—84no—
816#123—48no—
817#123—44no—
818#123—48no—
819#123—82no—
820#123—84no—
821#123—82no—
822C22⋊Q8—28no—
823C22⋊Q8—28no—
824C22⋊Q8—28no—
825C22⋊Q8—48no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—48no—
829C22⋊Q8—48no—
830C22⋊Q8—48no—
831C22⋊Q8—44no—
832C22⋊Q8—42no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—44no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—42no—
843#121—44no—
844#121—44no—
845#121—44no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—84no—
850#121—84no—
851#121—84no—
852#120—48no—
853#120—44no—
854#120—42no—
855#120—82no—
856C4×Q8—24no—
857C4×Q8—28no—
858C4×Q8—44no—
859C4×Q8—42no—
860C4×Q8—44no—
861C4×Q8—44no—
862C4×Q8—44no—
863C4×Q8—44no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—42no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—48no—
873C4×D4—44no—
874C4×D4—48no—
875C4×D4—48no—
876C4×D4—48no—
877C4×D4—48no—
878C4×D4—48no—
879#117—48no—
880#117—44no—
881C2×C4⋊C4—44no—
882C2×C4⋊C4—42no—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C22⋊C4—44no—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2411yescharacteristic
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2411yescharacteristic
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C42C2414yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008#95C2412yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2411yescharacteristic
1013#95C2412yes—
1014#95C2411yescharacteristic
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2411yescharacteristic
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2411yescharacteristic
1024#95C2412yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065C24—22no—
1066C24—41no—
1067C24—42no—
1068C24—42no—
1069C24—41no—
1070C24C2512yes—
1071C24C2514yes—
1072C24C2512yes—
1073C24C2511yescharacteristic
1074C24C2512yes—
1075C24C2511yescharacteristic
1076#41—416no—
1077#41—432no—
1078#41—464no—
1079#41—432no—
1080#41—416no—
1081#41—816no—
1082C2×Q8—24no—
1083C2×Q8—24no—
1084C2×Q8—24no—
1085C2×Q8—24no—
1086C2×Q8—22no—
1087C2×Q8—28no—
1088C2×Q8—28no—
1089C2×Q8—28no—
1090C2×Q8—24no—
1091C2×Q8—42no—
1092C2×Q8—44no—
1093C2×Q8—42no—
1094C2×Q8—41no—
1095C2×Q8—42no—
1096C2×Q8—41no—
1097C2×Q8—44no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×Q8—42no—
1101C2×Q8—432no—
1102C2×Q8—416no—
1103C2×Q8—432no—
1104C2×Q8—88no—
1105C2×Q8H(5,𝔽2)14yes—
1106C2×Q8H(5,𝔽2)18yes—
1107C2×D4—24no—
1108C2×D4—22no—
1109C2×D4—24no—
1110C2×D4—28no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—22no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—41no—
1128C2×D4—42no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—41no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—41no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—44no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C22×C4—24no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—28no—
1178C22×C4—28no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—28no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—28no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—28no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—44no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—88no—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2511yescharacteristic
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—22no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—41no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—41no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C22⋊C4—24no—
1276C22⋊C4—22no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—44no—
1285C22⋊C4—42no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—44no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—41no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—41no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—41no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C42—28no—
1346C42—24no—
1347C42—24no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—42no—
1359C23—22no—
1360C23—21no—
1361C23—21no—
1362C23—22no—
1363C23—24no—
1364C23—22no—
1365C23—24no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—21no—
1370C23—22no—
1371C23—24no—
1372C23—22no—
1373C23—22no—
1374C23—24no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—24no—
1380C23—21no—
1381C23—21no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—24no—
1386C23—22no—
1387C23—22no—
1388C23—24no—
1389C23—22no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—24no—
1394C23—44no—
1395C23—84no—
1396C23—82no—
1397C23—82no—
1398C23—84no—
1399C23#58512yes—
1400C23C2611yescharacteristic
1401Q8—28no—
1402Q8—216no—
1403Q8—48no—
1404Q8—416no—
1405Q8—44no—
1406Q8—44no—
1407Q8—84no—
1408Q8—82no—
1409Q8—84no—
1410D4—416no—
1411D4—48no—
1412D4—48no—
1413D4—48no—
1414D4—44no—
1415D4—44no—
1416D4—48no—
1417D4—88no—
1418D4—88no—
1419D4—84no—
1420D4—82no—
1421D4—84no—
1422D4—88no—
1423D4—84no—
1424D4—88no—
1425D4—88no—
1426D4—84no—
1427D4—88no—
1428D4—84no—
1429D4—164no—
1430D4—164no—
1431D4—164no—
1432D4—162no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—48no—
1493C2×C4—416no—
1494C2×C4—416no—
1495C2×C4—48no—
1496C2×C4—44no—
1497C2×C4—48no—
1498C2×C4—44no—
1499C2×C4—48no—
1500C2×C4—84no—
1501C2×C4—88no—
1502C2×C4—84no—
1503C2×C4—88no—
1504C2×C4—82no—
1505C2×C4—84no—
1506C2×C4—164no—
1507C2×C4C2×H(5,𝔽2)14yes—
1508C2×C4C2×H(5,𝔽2)18yes—
1509C2×C4C2×H(5,𝔽2)12yes—
1510C2×C4C2×H(5,𝔽2)14yes—
1511C22—24no—
1512C22—22no—
1513C22—41no—
1514C22—42no—
1515C22—41no—
1516C22—44no—
1517C22—42no—
1518C22—41no—
1519C22—42no—
1520C22—42no—
1521C22—44no—
1522C22—42no—
1523C22—44no—
1524C22—44no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—44no—
1532C22—44no—
1533C22—44no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—44no—
1538C22—42no—
1539C22—42no—
1540C22—41no—
1541C22—42no—
1542C22—42no—
1543C22—41no—
1544C22—42no—
1545C22—42no—
1546C22—44no—
1547C22—88no—
1548C22C22×H(5,𝔽2)11yescharacteristic
1549C22C22×H(5,𝔽2)12yes—
1550C22C2×#58511yescharacteristic
1551C22H(7,𝔽2)11yescharacteristic
1552C222−1+612yes—
1553C4—28no—
1554C4—24no—
1555C4—41no—
1556C4—42no—
1557C4—42no—
1558C4—44no—
1559C4—44no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—42no—
1566C4—44no—
1567C4—42no—
1568C4—42no—
1569C4—41no—
1570C4—42no—
1571C4—41no—
1572C4—42no—
1573C4—41no—
1574C4—42no—
1575C4#353214yes—
1576C2—42no—
1577C2—84no—
1578C2—82no—
1579C2—82no—
1580C2—81no—
1581C2—82no—
1582C2C2×#353211yescharacteristic
1583C2#6289712yes—
1584C2#6289911yescharacteristic
1585C2#6304411yescharacteristic
1586C2#6305212yes—
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. #59005C2semidirect
2. #59001C2semidirect
3. #58924C2semidirect
4. #58898C2semidirect
5. #58246C2semidirect
6. #58122C2semidirect
7. #57001C2semidirect
8. #53044C2semidirect
9. #52966C2semidirect
10. #52409C2semidirect
11. #52405C2semidirect
12. #47122C2semidirect
13. #45419C2semidirect
14. #45319C2semidirect
15. #45307C2semidirect
16. #45282C2semidirect
17. #45268C2semidirect
18. #42900C2semidirect
19. #42893C2semidirect
20. #42890C2semidirect
21. #42889C2semidirect
22. #42838C2semidirect
23. #41172C2semidirect
24. #41001C2semidirect
25. #39861C2semidirect
26. #39133C2semidirect
27. #36675C2semidirect
28. #35757C2semidirect
29. #35687C2semidirect
30. C22×2−1+4C22semidirect
31. C2×#559C22semidirect
32. C2×#556C22semidirect
45. #2830C22semidirect
47. #2829C22semidirect
48. #2829C22semidirect
51. #2825C22semidirect
57. #2819C22semidirect
63. #2808C22semidirect
65. #2803C22semidirect
66. #2797C22semidirect
67. #2787C22semidirect
69. #2780C22semidirect
71. #2762C22semidirect
74. #2755C22semidirect
76. #2750C22semidirect
77. #2742C22semidirect
81. #2722C22semidirect
82. #2716C22semidirect
83. #2716C22semidirect
88. #2714C22semidirect
91. #2710C22semidirect
95. #2705C22semidirect
97. #2699C22semidirect
98. #2696C22semidirect
100. #2692C22semidirect
102. #2689C22semidirect
103. #2687C22semidirect
108. #2676C22semidirect
117. #2662C22semidirect
119. #2657C22semidirect
121. #2651C22semidirect
122. #2649C22semidirect
124. #2644C22semidirect
125. #2636C22semidirect
128. #2631C22semidirect
131. #2616C22semidirect
132. #2616C22semidirect
134. #2615C22semidirect
137. #2598C22semidirect
138. #2597C22semidirect
139. #2592C22semidirect
140. #2588C22semidirect
141. #2587C22semidirect
142. #2582C22semidirect
143. #2582C22semidirect
144. #2581C22semidirect
145. #2577C22semidirect
146. #2574C22semidirect
149. #2548C22semidirect
159. #2523C22semidirect
163. #2497C22semidirect
164. #2496C22semidirect
165. #2494C22semidirect
169. #2477C22semidirect
174. #2466C22semidirect
179. #2459C22semidirect
182. #2450C22semidirect
183. #2450C22semidirect
185. #2438C22semidirect
188. #2436C22semidirect
189. #2434C22semidirect
190. #2434C22semidirect
192. #2432C22semidirect
193. #2432C22semidirect
197. #2431C22semidirect
198. #2431C22semidirect
202. #2428C22semidirect
203. #2427C22semidirect
207. #2426C22semidirect
208. #2425C22semidirect
212. #2423C22semidirect
213. #2422C22semidirect
215. #2420C22semidirect
222. #2409C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
237. #2388C22semidirect
243. #2341C22semidirect
244. #2341C22semidirect
246. Q8×C22⋊C4C22semidirect
247. Q8×C22⋊C4C22semidirect
248. Q8×C22⋊C4C22semidirect
250. #2327C22semidirect
251. #2326C22semidirect
252. #2326C22semidirect
255. #2320C22semidirect
256. #2320C22semidirect

Maximal subgroups

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

subgroupindex
#590052
#590012
#589242
#588982
#582462
#581222
#570012
#530442
#529662
#524092
#524052
#471222
#454192
#453192
#453072
#452822
#452682
#429002
#428932
#428902
#428892
#428382
#411722
#410012
#398612
#391332
#366752
#357572
#356872