Finite Group Databasebeta

← #8701340

Subgroups — #8701340

Order 512.

5682 conjugacy classes of subgroups.

The subgroup lattice has 1603 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59914C212yesmaximal, complemented
2#59418C212yesmaximal, complemented
3#59414C212yesmaximal, complemented
4#59411C212yesmaximal, complemented
5#58259C212yesmaximal, complemented
6#57642C214yesmaximal, complemented
7#57151C212yesmaximal, complemented
8#57145C214yesmaximal, complemented
9#52294C211yesmaximal, characteristic, complemented
10#48628C214yesmaximal, complemented
11#48258C214yesmaximal, complemented
12#48106C214yesmaximal, complemented
13#45623C212yesmaximal, complemented
14#45493C211yesmaximal, characteristic, complemented
15#45377C211yesmaximal, characteristic, complemented
16#45103C211yesmaximal, characteristic, complemented
17#45022C212yesmaximal, complemented
18#44884C212yesmaximal, complemented
19#42916C212yesmaximal, complemented
20#42908C211yesmaximal, characteristic, complemented
21#42815C211yesmaximal, characteristic, complemented
22#42683C212yesmaximal, complemented
23#40140C212yesmaximal, complemented
24#39654C212yesmaximal, complemented
25#39000C212yesmaximal, complemented
26#36842C212yesmaximal, complemented
27#36777C214yesmaximal, complemented
28#36429C211yesmaximal, characteristic, complemented
29#36213C212yesmaximal, complemented
30C23×#41C2211yescharacteristic
31C2×#559C2212yescomplemented
32C2×#557C2211yescharacteristic, complemented
33C2×#550C2212yes—
34C2×#548C2211yescharacteristic
35C2×#547C2212yes—
36C2×#547C2212yes—
37C2×#546C2212yes—
38C2×#537C2212yescomplemented
39C2×#537C2211yescharacteristic, complemented
40#2863C2212yescomplemented
41#2849C2214yes—
42#2848C2212yes—
43#2847C2211yescharacteristic
44#2847C2212yes—
45#2842C2212yes—
46#2827C2214yescomplemented
47#2820C2212yescomplemented
48#2817C2212yescomplemented
49#2814C2214yescomplemented
50#2813C2214yescomplemented
51#2807C2212yes—
52#2806C2214yescomplemented
53#2790C2214yescomplemented
54#2788C2214yescomplemented
55#2781C2214yescomplemented
56#2780C2214yes—
57#2780C2214yes—
58#2780C2214yescomplemented
59#2768C2214yes—
60#2764C2214yescomplemented
61#2763C2211yescharacteristic
62#2763C2212yescomplemented
63#2761C2214yescomplemented
64#2757C2214yescomplemented
65#2757C2214yescomplemented
66#2756C2214yescomplemented
67#2753C2212yes—
68#2753C2212yescomplemented
69#2753C2212yescomplemented
70#2751C2214yescomplemented
71#2750C2214yescomplemented
72#2749C2214yes—
73#2749C2214yescomplemented
74#2749C2214yescomplemented
75#2748C2212yes—
76#2743C2214yescomplemented
77#2738C2214yescomplemented
78#2736C2211yescharacteristic
79#2735C2212yes—
80#2720C2214yescomplemented
81#2712C2211yescharacteristic
82#2712C2212yescomplemented
83#2711C2214yes—
84#2710C2214yescomplemented
85#2710C2214yescomplemented
86#2707C2214yescomplemented
87#2707C2214yescomplemented
88#2706C2214yescomplemented
89#2706C2214yescomplemented
90#2706C2214yescomplemented
91#2706C2214yescomplemented
92#2701C2214yescomplemented
93#2701C2214yescomplemented
94#2701C2214yescomplemented
95#2701C2214yescomplemented
96#2697C2214yes—
97#2693C2214yescomplemented
98#2693C2212yescomplemented
99#2688C2214yes—
100#2686C2214yescomplemented
101#2682C2214yescomplemented
102#2682C2214yescomplemented
103#2681C2214yescomplemented
104#2680C2212yescomplemented
105#2678C2214yes—
106#2676C2214yescomplemented
107#2675C2214yescomplemented
108#2673C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yes—
112#2670C2211yescharacteristic
113#2670C2212yes—
114#2668C2212yes—
115#2666C2214yescomplemented
116#2661C2214yescomplemented
117#2658C2211yescharacteristic, complemented
118#2649C2214yescomplemented
119#2639C2212yescomplemented
120#2635C2212yes—
121#2635C2214yescomplemented
122#2633C2212yes—
123#2632C2212yescomplemented
124#2630C2214yescomplemented
125#2623C2214yescomplemented
126#2618C2214yescomplemented
127#2616C2211yescharacteristic, complemented
128#2602C2214yescomplemented
129#2592C2211yescharacteristic, complemented
130#2587C2214yes—
131#2583C2214yescomplemented
132#2582C2212yescomplemented
133#2580C2212yes—
134#2580C2212yescomplemented
135#2574C2214yescomplemented
136#2572C2214yescomplemented
137#2568C2212yescomplemented
138#2564C2212yes—
139#2558C2214yescomplemented
140#2558C2214yescomplemented
141#2557C2214yescomplemented
142#2544C2214yescomplemented
143#2542C2211yescharacteristic
144#2540C2212yescomplemented
145#2539C2214yes—
146#2538C2212yescomplemented
147#2538C2212yescomplemented
148#2538C2212yescomplemented
149#2537C2212yescomplemented
150#2535C2212yes—
151#2534C2214yes—
152#2505C2214yescomplemented
153#2505C2214yescomplemented
154#2503C2211yescharacteristic, complemented
155#2502C2212yescomplemented
156#2497C2212yes—
157#2497C2212yescomplemented
158#2495C2212yescomplemented
159#2490C2214yescomplemented
160#2487C2211yescharacteristic
161#2487C2214yescomplemented
162#2486C2212yescomplemented
163#2464C2214yescomplemented
164#2464C2214yescomplemented
165#2463C2212yescomplemented
166#2459C2214yescomplemented
167#2456C2214yescomplemented
168#2456C2214yescomplemented
169#2450C2214yescomplemented
170#2449C2214yescomplemented
171#2447C2214yescomplemented
172#2445C2214yescomplemented
173#2442C2214yescomplemented
174#2437C2212yes—
175#2437C2212yes—
176#2434C2212yes—
177#2433C2211yescharacteristic
178#2433C2212yes—
179#2432C2212yes—
180#2432C2212yes—
181#2432C2212yescomplemented
182#2432C2212yescomplemented
183#2431C2214yes—
184#2431C2212yes—
185#2431C2212yescomplemented
186#2430C2214yes—
187#2430C2214yes—
188#2429C2212yescomplemented
189#2429C2212yescomplemented
190#2429C2212yescomplemented
191#2429C2212yescomplemented
192#2428C2212yescomplemented
193#2428C2214yescomplemented
194#2427C2212yescomplemented
195#2427C2212yescomplemented
196#2427C2212yescomplemented
197#2426C2212yes—
198#2426C2214yescomplemented
199#2425C2214yescomplemented
200#2425C2214yescomplemented
201#2424C2214yes—
202#2423C2212yes—
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2422C2212yescomplemented
206#2421C2212yescomplemented
207#2421C2212yescomplemented
208#2419C2214yescomplemented
209#2418C2214yes—
210#2417C2212yes—
211#2417C2212yescomplemented
212#2416C2212yescomplemented
213#2416C2214yescomplemented
214#2410C2214yes—
215#2409C2212yes—
216#2408C2211yescharacteristic
217#2408C2212yes—
218#2407C2214yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2406C2214yes—
223#2406C2214yes—
224#2405C2214yes—
225#2398C2211yescharacteristic
226#2398C2212yescomplemented
227#2388C2211yescharacteristic
228#2388C2212yescomplemented
229#2377C2214yescomplemented
230#2375C2212yes—
231#2361C2212yescomplemented
232#2361C2212yescomplemented
233#2360C2214yescomplemented
234#2360C2212yescomplemented
235#2358C2214yes—
236#2349C2214yescomplemented
237#2341C2212yes—
238#2341C2212yescomplemented
239Q8×C22⋊C4C2211yescharacteristic
240#2339C2212yes—
241#2339C2212yes—
242#2339C2211yescharacteristic, complemented
243D4×C22⋊C4C2212yes—
244#2337C2214yes—
245#2325C2214yescomplemented
246#2320C2211yescharacteristic, complemented
247#2319C2212yescomplemented
248#2318C2214yescomplemented
249C4×C4⋊Q8C2212yescomplemented
250C4×#127C2212yescomplemented
251C4×#124C2212yes—
252C4×#124C2212yescomplemented
253C4×#124C2212yescomplemented
254C4×#124C2212yescomplemented
255C4×#120C2212yes—
256C4×#120C2212yes—
257C4×#120C2211yescharacteristic
258C2×#385C2214yes—
259C22×#41—48no—
260C22×#41—44no—
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C22×#41C2314yes—
266C22×#41C2311yescharacteristic
267C23×Q8C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C24×C4C2311yescharacteristic
271C24×C4C2312yes—
272#559—48no—
273#557—44no—
274#550—48no—
275#548—44no—
276#547—48no—
277#547—48no—
278#546—48no—
279#537—48no—
280#537—44no—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×#127C2312yes—
285C2×#127C2314yes—
286C2×#125C2312yes—
287C2×#125C2314yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2311yescharacteristic
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2312yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2311yescharacteristic
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#120C2312yes—
338C2×#120C2311yescharacteristic
339C2×#120C2314yes—
340C2×#120C2312yes—
341C2×#120C2312yes—
342C2×#120C2312yes—
343C2×#120C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C22×C4⋊C4C2314yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2314yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2314yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#399C2312yes—
387#399C2312yes—
388#399C2312yes—
389#399C2314yes—
390#399C2312yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2311yescharacteristic
410#397C2312yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2311yescharacteristic
416#397C2314yes—
417#397C2312yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2311yescharacteristic
440#395C2312yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2314yes—
451#394C2312yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2311yescharacteristic
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2311yescharacteristic
477#393C2312yes—
478#393C2314yes—
479#393C2314yes—
480#393C2311yescharacteristic
481#393C2312yes—
482#393C2311yescharacteristic
483#393C2312yes—
484#393C2312yes—
485#392C2314yes—
486#392C2314yes—
487#392C2311yescharacteristic
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2312yes—
493#392C2312yes—
494#392C2312yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2312yes—
500#392C2314yes—
501#392C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2312yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2311yescharacteristic
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2312yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2312yes—
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2312yes—
625#385C2314yes—
626#385C2312yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2312yes—
656#385C2311yescharacteristic
657#385C2312yes—
658#384C2312yes—
659#384C2312yes—
660#384C2312yes—
661#383C2312yes—
662#383C2314yes—
663#383C2314yes—
664#382C2312yes—
665#382C2314yes—
666#382C2312yes—
667#382C2312yes—
668#382C2312yes—
669#382C2312yes—
670#381C2312yes—
671#381C2314yes—
672#381C2314yes—
673#381C2314yes—
674#381C2314yes—
675#381C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2311yescharacteristic
682#380C2312yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2311yescharacteristic
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#379C2311yescharacteristic
694#379C2314yes—
695#379C2314yes—
696#379C2312yes—
697#379C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2311yescharacteristic
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718#376C2311yescharacteristic
719C2×#95C2312yes—
720C2×#95C2314yes—
721C2×#95C2314yes—
722C43C2312yes—
723C25C2412yes—
724C25C2411yescharacteristic
725C2×#41—28no—
726C2×#41—24no—
727C2×#41—28no—
728C2×#41—28no—
729C2×#41—28no—
730C2×#41—44no—
731C2×#41—42no—
732C2×#41—48no—
733C2×#41—48no—
734C2×#41—48no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—464no—
742C22×Q8—24no—
743C22×Q8—44no—
744C22×Q8C2412yes—
745C22×Q8C2411yescharacteristic
746C22×Q8C2411yescharacteristic
747C22×Q8C2411yescharacteristic
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×Q8C2411yescharacteristic
751C22×D4—28no—
752C22×D4—42no—
753C22×D4—44no—
754C22×D4—48no—
755C22×D4C2411yescharacteristic
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2411yescharacteristic
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2411yescharacteristic
775C22×D4C2414yes—
776C23×C4—44no—
777C23×C4—42no—
778C23×C4—44no—
779C23×C4—48no—
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2411yescharacteristic
796C23×C4C2412yes—
797C4⋊Q8—28no—
798C4⋊Q8—44no—
799C4⋊Q8—42no—
800#127—28no—
801#127—48no—
802#125—44no—
803#125—48no—
804#124—28no—
805#124—28no—
806#124—44no—
807#124—44no—
808#124—42no—
809#124—44no—
810#124—48no—
811#124—44no—
812#123—48no—
813#123—48no—
814#123—48no—
815#123—48no—
816#123—48no—
817#123—48no—
818#123—48no—
819#123—84no—
820#123—84no—
821#123—84no—
822#123—84no—
823C22⋊Q8—28no—
824C22⋊Q8—48no—
825C22⋊Q8—48no—
826C22⋊Q8—44no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833C22⋊Q8—42no—
834C22⋊Q8—44no—
835#121—28no—
836#121—28no—
837#121—48no—
838#121—44no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—44no—
847#121—42no—
848#121—44no—
849#121—44no—
850#121—48no—
851#121—48no—
852#121—48no—
853#120—28no—
854#120—24no—
855#120—44no—
856#120—48no—
857#120—82no—
858#120—82no—
859#120—82no—
860C4×Q8—24no—
861C4×Q8—42no—
862C4×Q8—44no—
863C4×Q8—44no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×D4—28no—
868C4×D4—48no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—42no—
877C4×D4—44no—
878C4×D4—48no—
879C4×D4—48no—
880C4×D4—48no—
881C4×D4—84no—
882C4×D4—84no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4—48no—
886C2×C4⋊C4—48no—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C22⋊C4—48no—
933C2×C22⋊C4—48no—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018#95C2411yescharacteristic
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2411yescharacteristic
1029#95C2412yes—
1030#95C2411yescharacteristic
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2411yescharacteristic
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071C24—28no—
1072C24—24no—
1073C24—22no—
1074C24—44no—
1075C24—42no—
1076C24—42no—
1077C24—41no—
1078C24—42no—
1079C24—42no—
1080C24—41no—
1081C24C2512yes—
1082C24C2512yes—
1083C24C2512yes—
1084C24C2511yescharacteristic
1085C24C2514yes—
1086C24C2511yescharacteristic
1087#41—432no—
1088#41—432no—
1089#41—464no—
1090#41—88no—
1091#41—816no—
1092#41—88no—
1093C2×Q8—24no—
1094C2×Q8—24no—
1095C2×Q8—24no—
1096C2×Q8—24no—
1097C2×Q8—24no—
1098C2×Q8—22no—
1099C2×Q8—24no—
1100C2×Q8—24no—
1101C2×Q8—24no—
1102C2×Q8—41no—
1103C2×Q8—44no—
1104C2×Q8—42no—
1105C2×Q8—42no—
1106C2×Q8—41no—
1107C2×Q8—42no—
1108C2×Q8—416no—
1109C2×Q8H(5,𝔽2)14yes—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—22no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—22no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—41no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—41no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—41no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—416no—
1169C2×D4—432no—
1170C2×D4H(5,𝔽2)18yes—
1171C22×C4—28no—
1172C22×C4—28no—
1173C22×C4—28no—
1174C22×C4—28no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—28no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—28no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—432no—
1217C22×C4—416no—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2514yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—41no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—41no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—28no—
1299C22⋊C4—24no—
1300C22⋊C4—28no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—41no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—41no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—41no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C42−1+414yes—
1355C42—24no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—42no—
1367C42—42no—
1368C42—44no—
1369C42—42no—
1370C23—22no—
1371C23—21no—
1372C23—24no—
1373C23—24no—
1374C23—24no—
1375C23—24no—
1376C23—22no—
1377C23—24no—
1378C23—24no—
1379C23—21no—
1380C23—22no—
1381C23—22no—
1382C23—24no—
1383C23—22no—
1384C23—21no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—21no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—24no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—21no—
1403C23—22no—
1404C23—48no—
1405C23—416no—
1406C23—44no—
1407C23—84no—
1408C23—84no—
1409C23—82no—
1410C23—88no—
1411C23—84no—
1412C23—82no—
1413C23—84no—
1414C23C2×H(5,𝔽2)18yes—
1415C23C2×2−1+412yes—
1416C23C2611yescharacteristic
1417Q8—28no—
1418Q8—44no—
1419Q8—48no—
1420Q8—44no—
1421Q8—48no—
1422Q8—84no—
1423Q8—82no—
1424D4—216no—
1425D4—416no—
1426D4—416no—
1427D4—48no—
1428D4—416no—
1429D4—44no—
1430D4—84no—
1431D4—84no—
1432D4—84no—
1433D4—84no—
1434D4—84no—
1435D4—82no—
1436D4—88no—
1437D4—88no—
1438D4—88no—
1439D4—88no—
1440D4—84no—
1441D4—82no—
1442D4—84no—
1443D4—164no—
1444D4—164no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—416no—
1504C2×C4—48no—
1505C2×C4—416no—
1506C2×C4—44no—
1507C2×C4—48no—
1508C2×C4—44no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—88no—
1513C2×C4—84no—
1514C2×C4—88no—
1515C2×C4—88no—
1516C2×C4—162no—
1517C2×C4—164no—
1518C2×C4—164no—
1519C2×C4—164no—
1520C2×C4C2×H(5,𝔽2)14yes—
1521C2×C4C2×H(5,𝔽2)12yes—
1522C2×C4C2×H(5,𝔽2)14yes—
1523C2×C4C2×2−1+414yes—
1524C2×C4#58514yes—
1525C22—28no—
1526C22—24no—
1527C22—22no—
1528C22—28no—
1529C22—28no—
1530C22—44no—
1531C22—44no—
1532C22—41no—
1533C22—44no—
1534C22—44no—
1535C22—42no—
1536C22—41no—
1537C22—44no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—41no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—41no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—44no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—41no—
1559C22—42no—
1560C22—42no—
1561C22—816no—
1562C22—88no—
1563C22C22×H(5,𝔽2)12yes—
1564C22C22×H(5,𝔽2)11yescharacteristic
1565C22C22×2−1+411yescharacteristic
1566C22C2×#58512yes—
1567C22H(7,𝔽2)11yescharacteristic
1568C4—24no—
1569C4—24no—
1570C4—24no—
1571C4—42no—
1572C4—42no—
1573C4—44no—
1574C4—41no—
1575C4—42no—
1576C4—42no—
1577C4—41no—
1578C4—42no—
1579C4—44no—
1580C4—42no—
1581C4—44no—
1582C4—44no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—42no—
1587C4—41no—
1588C4—42no—
1589C4—44no—
1590C4#353214yes—
1591C2—48no—
1592C2—42no—
1593C2—82no—
1594C2—81no—
1595C2—82no—
1596C2—82no—
1597C2C2×#353211yescharacteristic
1598C2#6291711yescharacteristic
1599C2#6292012yes—
1600C2#6301312yes—
1601C2#6302011yescharacteristic
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. #59914C2semidirect
2. #59418C2semidirect
3. #59414C2semidirect
4. #59411C2semidirect
5. #58259C2semidirect
6. #57642C2semidirect
7. #57151C2semidirect
8. #57145C2semidirect
9. #52294C2semidirect
10. #48628C2semidirect
11. #48258C2semidirect
12. #48106C2semidirect
13. #45623C2semidirect
14. #45493C2semidirect
15. #45377C2semidirect
16. #45103C2semidirect
17. #45022C2semidirect
18. #44884C2semidirect
19. #42916C2semidirect
20. #42908C2semidirect
21. #42815C2semidirect
22. #42683C2semidirect
23. #40140C2semidirect
24. #39654C2semidirect
25. #39000C2semidirect
26. #36842C2semidirect
27. #36777C2semidirect
28. #36429C2semidirect
29. #36213C2semidirect
31. C2×#559C22semidirect
32. C2×#557C22semidirect
38. C2×#537C22semidirect
39. C2×#537C22semidirect
40. #2863C22semidirect
46. #2827C22semidirect
47. #2820C22semidirect
48. #2817C22semidirect
49. #2814C22semidirect
50. #2813C22semidirect
52. #2806C22semidirect
53. #2790C22semidirect
54. #2788C22semidirect
55. #2781C22semidirect
58. #2780C22semidirect
60. #2764C22semidirect
62. #2763C22semidirect
63. #2761C22semidirect
64. #2757C22semidirect
65. #2757C22semidirect
66. #2756C22semidirect
68. #2753C22semidirect
69. #2753C22semidirect
70. #2751C22semidirect
71. #2750C22semidirect
73. #2749C22semidirect
74. #2749C22semidirect
76. #2743C22semidirect
77. #2738C22semidirect
80. #2720C22semidirect
82. #2712C22semidirect
84. #2710C22semidirect
85. #2710C22semidirect
86. #2707C22semidirect
87. #2707C22semidirect
88. #2706C22semidirect
89. #2706C22semidirect
90. #2706C22semidirect
91. #2706C22semidirect
92. #2701C22semidirect
93. #2701C22semidirect
94. #2701C22semidirect
95. #2701C22semidirect
97. #2693C22semidirect
98. #2693C22semidirect
100. #2686C22semidirect
101. #2682C22semidirect
102. #2682C22semidirect
103. #2681C22semidirect
104. #2680C22semidirect
106. #2676C22semidirect
107. #2675C22semidirect
108. #2673C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
115. #2666C22semidirect
116. #2661C22semidirect
117. #2658C22semidirect
118. #2649C22semidirect
119. #2639C22semidirect
121. #2635C22semidirect
123. #2632C22semidirect
124. #2630C22semidirect
125. #2623C22semidirect
126. #2618C22semidirect
127. #2616C22semidirect
128. #2602C22semidirect
129. #2592C22semidirect
131. #2583C22semidirect
132. #2582C22semidirect
134. #2580C22semidirect
135. #2574C22semidirect
136. #2572C22semidirect
137. #2568C22semidirect
139. #2558C22semidirect
140. #2558C22semidirect
141. #2557C22semidirect
142. #2544C22semidirect
144. #2540C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2537C22semidirect
152. #2505C22semidirect
153. #2505C22semidirect
154. #2503C22semidirect
155. #2502C22semidirect
157. #2497C22semidirect
158. #2495C22semidirect
159. #2490C22semidirect
161. #2487C22semidirect
162. #2486C22semidirect
163. #2464C22semidirect
164. #2464C22semidirect
165. #2463C22semidirect
166. #2459C22semidirect
167. #2456C22semidirect
168. #2456C22semidirect
169. #2450C22semidirect
170. #2449C22semidirect
171. #2447C22semidirect
172. #2445C22semidirect
173. #2442C22semidirect
181. #2432C22semidirect
182. #2432C22semidirect
185. #2431C22semidirect
188. #2429C22semidirect
189. #2429C22semidirect
190. #2429C22semidirect
191. #2429C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2427C22semidirect
195. #2427C22semidirect
196. #2427C22semidirect
198. #2426C22semidirect
199. #2425C22semidirect
200. #2425C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
206. #2421C22semidirect
207. #2421C22semidirect
208. #2419C22semidirect
211. #2417C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
226. #2398C22semidirect
228. #2388C22semidirect
229. #2377C22semidirect
231. #2361C22semidirect
232. #2361C22semidirect
233. #2360C22semidirect
234. #2360C22semidirect
236. #2349C22semidirect
238. #2341C22semidirect
242. #2339C22semidirect
245. #2325C22semidirect
246. #2320C22semidirect
247. #2319C22semidirect
248. #2318C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×#127C22semidirect
252. C4×#124C22semidirect
253. C4×#124C22semidirect
254. C4×#124C22semidirect

Maximal subgroups

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

subgroupindex
#599142
#594182
#594142
#594112
#582592
#576422
#571512
#571452
#522942
#486282
#482582
#481062
#456232
#454932
#453772
#451032
#450222
#448842
#429162
#429082
#428152
#426832
#401402
#396542
#390002
#368422
#367772
#364292
#362132