Finite Group Databasebeta

← #8097169

Subgroups — #8097169

Order 512.

5131 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53094C212yesmaximal, complemented
2#53055C212yesmaximal, complemented
3#53015C211yesmaximal, characteristic, complemented
4#53009C211yesmaximal, characteristic, complemented
5#52930C214yesmaximal, complemented
6#52916C212yesmaximal, complemented
7#52726C214yesmaximal, complemented
8#52712C212yesmaximal, complemented
9#52297C211yesmaximal, characteristic, complemented
10#52248C212yesmaximal, complemented
11#46338C211yesmaximal, characteristic, complemented
12#46232C212yesmaximal, complemented
13#46000C214yesmaximal, complemented
14#45994C214yesmaximal, complemented
15#45993C212yesmaximal, complemented
16#45833C214yesmaximal, complemented
17#45791C214yesmaximal, complemented
18#45609C212yesmaximal, complemented
19#45486C212yesmaximal, complemented
20#45483C212yesmaximal, complemented
21#36462C212yesmaximal, complemented
22#36461C212yesmaximal, complemented
23#36459C212yesmaximal, complemented
24#36273C212yesmaximal, complemented
25#36187C211yesmaximal, characteristic, complemented
26#36087C211yesmaximal, characteristic, complemented
27#36087C212yesmaximal, complemented
28#36022C212yesmaximal, complemented
29#36004C211yesmaximal, characteristic, complemented
30C2×#563C2214yescomplemented
31C2×#562C2214yescomplemented
32C2×#560C2214yes—
33C2×#555C2211yescharacteristic
34C2×#555C2212yes—
35C2×#555C2211yescharacteristic, complemented
36C2×#520C2211yescharacteristic, complemented
37C2×#518C2211yescharacteristic
38#2868C2211yescharacteristic, complemented
39#2861C2214yescomplemented
40#2860C2212yes—
41#2860C2214yes—
42#2858C2214yescomplemented
43#2857C2212yescomplemented
44#2856C2212yes—
45#2856C2212yes—
46#2854C2212yes—
47#2850C2214yescomplemented
48#2844C2212yescomplemented
49#2840C2212yes—
50#2835C2212yescomplemented
51#2832C2214yes—
52#2832C2214yescomplemented
53#2828C2212yes—
54#2828C2214yescomplemented
55#2824C2214yescomplemented
56#2824C2214yescomplemented
57#2821C2214yes—
58#2821C2214yescomplemented
59#2820C2214yescomplemented
60#2819C2212yes—
61#2819C2214yes—
62#2818C2214yescomplemented
63#2816C2214yes—
64#2816C2214yescomplemented
65#2815C2214yescomplemented
66#2813C2214yes—
67#2803C2212yes—
68#2795C2212yes—
69#2795C2211yescharacteristic, complemented
70#2792C2211yescharacteristic, complemented
71#2785C2212yes—
72#2784C2211yescharacteristic, complemented
73#2783C2214yescomplemented
74#2769C2212yescomplemented
75#2756C2212yescomplemented
76#2744C2214yescomplemented
77#2737C2212yes—
78#2737C2214yescomplemented
79#2723C2214yes—
80#2721C2214yescomplemented
81#2720C2214yescomplemented
82#2718C2214yescomplemented
83#2714C2214yes—
84#2714C2212yes—
85#2714C2214yescomplemented
86#2711C2214yes—
87#2710C2214yescomplemented
88#2706C2214yescomplemented
89#2705C2214yes—
90#2705C2212yescomplemented
91#2703C2214yes—
92#2703C2214yescomplemented
93#2699C2211yescharacteristic, complemented
94#2696C2214yescomplemented
95#2694C2214yescomplemented
96#2692C2214yescomplemented
97#2692C2214yescomplemented
98#2692C2214yescomplemented
99#2685C2214yes—
100#2685C2214yes—
101#2681C2214yescomplemented
102#2681C2214yescomplemented
103#2680C2214yescomplemented
104#2678C2214yes—
105#2677C2212yescomplemented
106#2677C2214yescomplemented
107#2676C2214yes—
108#2676C2214yescomplemented
109#2674C2214yescomplemented
110#2673C2212yes—
111#2673C2214yes—
112#2673C2214yescomplemented
113#2672C2214yescomplemented
114#2671C2214yescomplemented
115#2670C2214yes—
116#2670C2212yes—
117#2669C2212yes—
118#2668C2214yes—
119#2635C2214yes—
120#2632C2212yes—
121#2632C2214yescomplemented
122#2631C2212yes—
123#2628C2212yes—
124#2624C2211yescharacteristic
125#2615C2212yes—
126#2615C2211yescharacteristic, complemented
127#2610C2214yescomplemented
128#2610C2214yescomplemented
129#2598C2212yes—
130#2598C2214yescomplemented
131#2598C2212yescomplemented
132#2572C2214yescomplemented
133#2572C2214yescomplemented
134#2563C2211yescharacteristic
135#2563C2212yes—
136#2563C2211yescharacteristic, complemented
137#2560C2214yes—
138#2560C2214yescomplemented
139#2560C2214yescomplemented
140#2559C2214yescomplemented
141#2558C2214yescomplemented
142#2557C2214yescomplemented
143#2555C2214yescomplemented
144#2555C2214yescomplemented
145#2554C2214yescomplemented
146#2554C2214yescomplemented
147#2552C2212yescomplemented
148#2551C2212yescomplemented
149#2542C2212yes—
150#2541C2212yes—
151#2540C2212yes—
152#2540C2212yes—
153#2540C2214yescomplemented
154#2539C2214yes—
155#2537C2212yes—
156#2537C2212yescomplemented
157#2535C2212yes—
158#2532C2214yes—
159#2532C2214yescomplemented
160#2532C2214yescomplemented
161#2526C2214yescomplemented
162#2518C2214yescomplemented
163#2512C2212yes—
164#2508C2212yescomplemented
165#2506C2212yescomplemented
166#2501C2212yes—
167#2501C2211yescharacteristic, complemented
168#2500C2212yes—
169#2500C2212yescomplemented
170#2496C2212yes—
171#2496C2212yescomplemented
172#2495C2212yescomplemented
173#2495C2214yescomplemented
174#2491C2212yes—
175#2491C2212yes—
176#2491C2212yes—
177#2491C2214yes—
178#2491C2214yescomplemented
179#2491C2212yescomplemented
180#2491C2214yescomplemented
181#2490C2214yes—
182#2487C2211yescharacteristic
183#2487C2212yescomplemented
184#2485C2212yes—
185#2485C2212yescomplemented
186#2482C2214yes—
187#2472C2214yes—
188#2472C2214yes—
189#2472C2214yes—
190#2464C2214yes—
191#2464C2214yescomplemented
192#2464C2214yescomplemented
193#2461C2214yes—
194#2461C2214yes—
195#2461C2214yescomplemented
196#2461C2214yescomplemented
197#2461C2214yescomplemented
198#2459C2214yescomplemented
199#2452C2212yes—
200#2452C2212yescomplemented
201#2445C2212yes—
202#2440C2212yescomplemented
203#2440C2212yescomplemented
204#2440C2212yescomplemented
205#2439C2212yescomplemented
206#2433C2211yescharacteristic
207#2428C2212yes—
208#2428C2212yes—
209#2428C2214yescomplemented
210#2424C2214yes—
211#2422C2212yes—
212#2422C2212yes—
213#2420C2212yescomplemented
214#2416C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yescomplemented
220#2408C2211yescharacteristic
221#2408C2212yes—
222#2408C2212yes—
223#2396C2212yescomplemented
224#2396C2214yescomplemented
225#2395C2211yescharacteristic
226#2395C2214yes—
227#2392C2212yes—
228#2392C2212yes—
229#2388C2211yescharacteristic
230#2388C2212yescomplemented
231#2379C2214yescomplemented
232#2375C2212yes—
233#2369C2212yescomplemented
234#2366C2212yes—
235#2363C2212yes—
236#2363C2212yes—
237#2363C2212yes—
238#2363C2212yescomplemented
239#2357C2212yes—
240#2354C2212yes—
241#2354C2212yes—
242#2354C2212yescomplemented
243#2354C2212yescomplemented
244#2347C2211yescharacteristic
245#2347C2212yescomplemented
246#2347C2211yescharacteristic, complemented
247C4×#127C2211yescharacteristic
248C4×#125C2214yescomplemented
249C4×#126C2214yescomplemented
250C4×#126C2212yescomplemented
251C4×#123C2214yescomplemented
252C4×#123C2212yescomplemented
253C4×#121C2212yes—
254C4×#121C2212yescomplemented
255#2293C2214yescomplemented
256#2285C2212yescomplemented
257C42×D4C2211yescharacteristic, complemented
258C4×#117C2212yescomplemented
259C22×#41C2311yescharacteristic
260C23×D4C2311yescharacteristic
261#563—416no—
262#562—416no—
263#560—416no—
264#555—44no—
265#555—48no—
266#555—44no—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2314yes—
271C2×C4⋊Q8C2314yes—
272C2×C4⋊Q8C2312yes—
273C2×#127C2311yescharacteristic
274C2×#127C2314yes—
275C2×#127C2312yes—
276C2×#126C2314yes—
277C2×#126C2312yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2314yes—
282C2×#125C2314yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2314yes—
292C2×#123C2312yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#120C2312yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335#520—44no—
336#518—44no—
337C2×C4×Q8C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2312yes—
365C22×C22⋊C4C2314yes—
366C22×C42C2312yes—
367C22×C42C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2311yescharacteristic
377#399C2314yes—
378#399C2314yes—
379#399C2312yes—
380#399C2314yes—
381#399C2312yes—
382#399C2312yes—
383#399C2314yes—
384#399C2314yes—
385#399C2311yescharacteristic
386#399C2314yes—
387#399C2312yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2311yescharacteristic
395#398C2312yes—
396#398C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2312yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2312yes—
405#397C2314yes—
406#397C2314yes—
407#397C2312yes—
408#397C2311yescharacteristic
409#397C2314yes—
410#397C2314yes—
411#396C2312yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2312yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2311yescharacteristic
427#395C2312yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2312yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2311yescharacteristic
444#394C2312yes—
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2312yes—
471#393C2312yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#393C2312yes—
478#393C2314yes—
479#393C2314yes—
480#393C2311yescharacteristic
481#392C2312yes—
482#392C2312yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2312yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2312yes—
498#392C2312yes—
499#392C2311yescharacteristic
500#392C2312yes—
501#392C2312yes—
502#392C2312yes—
503#392C2312yes—
504#392C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#386C2312yes—
613#386C2312yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#384C2311yescharacteristic
646#384C2312yes—
647#384C2312yes—
648#384C2312yes—
649#384C2312yes—
650#384C2312yes—
651#384C2312yes—
652#383C2314yes—
653#383C2312yes—
654#383C2312yes—
655#383C2314yes—
656#383C2312yes—
657#382C2314yes—
658#382C2312yes—
659#382C2312yes—
660#382C2314yes—
661#382C2312yes—
662#381C2314yes—
663#381C2312yes—
664#381C2314yes—
665#380C2311yescharacteristic
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2311yescharacteristic
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2314yes—
680#380C2312yes—
681#379C2314yes—
682#379C2312yes—
683#379C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717#376C2314yes—
718C43C2311yescharacteristic
719C43C2314yes—
720C25C2412yes—
721C2×#41—42no—
722C2×#41—44no—
723C22×Q8C2411yescharacteristic
724C22×Q8C2414yes—
725C22×Q8C2412yes—
726C22×Q8C2414yes—
727C22×Q8C2412yes—
728C22×D4—42no—
729C22×D4—44no—
730C22×D4C2411yescharacteristic
731C22×D4C2412yes—
732C22×D4C2412yes—
733C22×D4C2412yes—
734C22×D4C2411yescharacteristic
735C22×D4C2414yes—
736C22×D4C2412yes—
737C22×D4C2412yes—
738C22×D4C2411yescharacteristic
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2411yescharacteristic
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C23×C4C2411yescharacteristic
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2411yescharacteristic
757C23×C4C2412yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2414yes—
763C23×C4C2414yes—
764C23×C4C2412yes—
765C4⋊Q8—44no—
766C4⋊Q8—44no—
767C4⋊Q8—42no—
768C4⋊Q8—42no—
769C4⋊Q8—48no—
770C4⋊Q8—48no—
771#127—42no—
772#127—44no—
773#127—48no—
774#126—216no—
775#126—28no—
776#126—48no—
777#126—48no—
778#126—48no—
779#125—216no—
780#125—48no—
781#124—48no—
782#124—48no—
783#124—48no—
784#124—44no—
785#124—44no—
786#124—48no—
787#124—48no—
788#124—48no—
789#124—48no—
790#123—216no—
791#123—28no—
792#123—48no—
793#123—48no—
794#123—48no—
795#123—48no—
796#123—48no—
797#123—48no—
798C22⋊Q8—48no—
799C22⋊Q8—48no—
800C22⋊Q8—48no—
801C22⋊Q8—48no—
802C22⋊Q8—48no—
803C22⋊Q8—48no—
804C22⋊Q8—48no—
805C22⋊Q8—48no—
806#121—28no—
807#121—44no—
808#121—48no—
809#121—44no—
810#121—48no—
811#121—48no—
812#121—44no—
813#121—48no—
814#121—48no—
815#121—48no—
816#121—48no—
817#121—44no—
818#121—44no—
819#121—44no—
820#121—44no—
821#121—42no—
822#121—44no—
823#121—42no—
824#121—44no—
825#121—44no—
826#121—48no—
827#121—48no—
828#121—48no—
829#120—44no—
830#120—48no—
831#120—48no—
832#120—48no—
833C4×Q8—44no—
834C4×D4—28no—
835C4×D4—24no—
836C4×D4—44no—
837C4×D4—48no—
838C4×D4—44no—
839C4×D4—44no—
840C4×D4—44no—
841C4×D4—44no—
842C4×D4—44no—
843C4×D4—44no—
844C4×D4—44no—
845C4×D4—44no—
846C4×D4—44no—
847C4×D4—42no—
848C4×D4—42no—
849C4×D4—48no—
850#117—24no—
851#117—28no—
852#117—24no—
853#117—28no—
854#117—42no—
855#117—44no—
856#117—48no—
857#117—44no—
858#117—44no—
859C2×C4⋊C4—42no—
860C2×C4⋊C4—44no—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C22⋊C4—48no—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2411yescharacteristic
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2411yescharacteristic
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C42—44no—
981C2×C42—44no—
982C2×C42C2414yes—
983C2×C42C2412yes—
984C2×C42C2414yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2411yescharacteristic
988C2×C42C2412yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2414yes—
992C2×C42C2412yes—
993C2×C42C2414yes—
994C2×C42C2412yes—
995C2×C42C2411yescharacteristic
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2411yescharacteristic
1015#95C2412yes—
1016#95C2411yescharacteristic
1017#95C2411yescharacteristic
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2411yescharacteristic
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052C24—42no—
1053C24—44no—
1054C24—44no—
1055C24—42no—
1056C24—42no—
1057C24C2511yescharacteristic
1058C24C2514yes—
1059C24C2512yes—
1060C24C2512yes—
1061C24C2511yescharacteristic
1062C24C2512yes—
1063#41—416no—
1064C2×Q8—41no—
1065C2×Q8—42no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—42no—
1071C2×Q8—42no—
1072C2×Q8—44no—
1073C2×Q8—44no—
1074C2×Q8—44no—
1075C2×Q8—44no—
1076C2×D4—24no—
1077C2×D4—22no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—28no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—41no—
1091C2×D4—44no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—44no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—44no—
1108C2×D4—42no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—42no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—416no—
1141C22×C4—22no—
1142C22×C4—24no—
1143C22×C4—22no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—28no—
1154C22×C4—24no—
1155C22×C4—28no—
1156C22×C4—24no—
1157C22×C4—42no—
1158C22×C4—44no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—42no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2514yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2514yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2514yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2514yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2514yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C4⋊C4—24no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—24no—
1201C4⋊C4—28no—
1202C4⋊C4—28no—
1203C4⋊C4—28no—
1204C4⋊C4—28no—
1205C4⋊C4—28no—
1206C4⋊C4—28no—
1207C4⋊C4—28no—
1208C4⋊C4—24no—
1209C4⋊C4—28no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—42no—
1217C4⋊C4—44no—
1218C4⋊C4—42no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—42no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
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⋊C4H(5,𝔽2)14yes—
1243C4⋊C4H(5,𝔽2)18yes—
1244C22⋊C4—24no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—24no—
1248C22⋊C4—28no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—28no—
1256C22⋊C4—24no—
1257C22⋊C4—24no—
1258C22⋊C4—28no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—28no—
1265C22⋊C4—24no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—44no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—44no—
1286C22⋊C4—42no—
1287C22⋊C4—44no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C42—28no—
1316C42—24no—
1317C42—28no—
1318C42—24no—
1319C42—24no—
1320C42—22no—
1321C42—28no—
1322C42—28no—
1323C42—24no—
1324C42—22no—
1325C42—24no—
1326C42—24no—
1327C42—24no—
1328C42—24no—
1329C42—44no—
1330C42—42no—
1331C42—42no—
1332C42—44no—
1333C42—41no—
1334C42—44no—
1335C42—44no—
1336C23—22no—
1337C23—24no—
1338C23—21no—
1339C23—22no—
1340C23—22no—
1341C23—24no—
1342C23—22no—
1343C23—21no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—24no—
1348C23—24no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—24no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—24no—
1357C23—24no—
1358C23—21no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—24no—
1365C23—21no—
1366C23—21no—
1367C23—24no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—21no—
1372C23—48no—
1373C23—164no—
1374C23—162no—
1375C23—162no—
1376C23—164no—
1377C23C2611yescharacteristic
1378Q8—44no—
1379Q8—164no—
1380Q8—162no—
1381Q8—164no—
1382Q8—162no—
1383D4—48no—
1384D4—48no—
1385D4—44no—
1386D4—44no—
1387D4—48no—
1388D4—84no—
1389D4—84no—
1390D4—88no—
1391D4—84no—
1392D4—82no—
1393D4—82no—
1394D4—84no—
1395D4—84no—
1396D4—164no—
1397D4—164no—
1398D4—162no—
1399D4—164no—
1400D4—162no—
1401D4—164no—
1402D4—164no—
1403D4—164no—
1404D4—164no—
1405D4—164no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—48no—
1463C2×C4—48no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—48no—
1467C2×C4—88no—
1468C2×C4—84no—
1469C2×C4—88no—
1470C2×C4—84no—
1471C2×C4—164no—
1472C2×C4—162no—
1473C2×C4—164no—
1474C2×C4C2×H(5,𝔽2)14yes—
1475C2×C4C2×H(5,𝔽2)14yes—
1476C2×C4C2×H(5,𝔽2)14yes—
1477C2×C4C2×H(5,𝔽2)14yes—
1478C2×C4C2×H(5,𝔽2)12yes—
1479C2×C4#58512yes—
1480C2×C4#58514yes—
1481C22—42no—
1482C22—44no—
1483C22—42no—
1484C22—42no—
1485C22—42no—
1486C22—44no—
1487C22—42no—
1488C22—44no—
1489C22—42no—
1490C22—42no—
1491C22—41no—
1492C22—44no—
1493C22—42no—
1494C22—42no—
1495C22—41no—
1496C22—42no—
1497C22—44no—
1498C22—42no—
1499C22—41no—
1500C22—42no—
1501C22—41no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—44no—
1506C22—44no—
1507C22—44no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—41no—
1512C22—42no—
1513C22—42no—
1514C22—41no—
1515C22—44no—
1516C22—42no—
1517C22—168no—
1518C22C22×H(5,𝔽2)12yes—
1519C22C22×H(5,𝔽2)11yescharacteristic
1520C22C2×#58511yescharacteristic
1521C22C2×#58512yes—
1522C222−1+611yescharacteristic
1523C4—24no—
1524C4—24no—
1525C4—22no—
1526C4—24no—
1527C4—24no—
1528C4—44no—
1529C4—42no—
1530C4—44no—
1531C4—42no—
1532C4—44no—
1533C4—42no—
1534C4—42no—
1535C4—44no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—44no—
1541C4—42no—
1542C4—41no—
1543C4—41no—
1544C4—42no—
1545C4#352914yes—
1546C2—82no—
1547C2—82no—
1548C2—81no—
1549C2—82no—
1550C2—84no—
1551C2—81no—
1552C2C2×#352911yescharacteristic
1553C2#6289811yescharacteristic
1554C2#6293112yes—
1555C2#6302412yes—
1556C2#6304011yescharacteristic
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. #53094C2semidirect
2. #53055C2semidirect
3. #53015C2semidirect
4. #53009C2semidirect
5. #52930C2semidirect
6. #52916C2semidirect
7. #52726C2semidirect
8. #52712C2semidirect
9. #52297C2semidirect
10. #52248C2semidirect
11. #46338C2semidirect
12. #46232C2semidirect
13. #46000C2semidirect
14. #45994C2semidirect
15. #45993C2semidirect
16. #45833C2semidirect
17. #45791C2semidirect
18. #45609C2semidirect
19. #45486C2semidirect
20. #45483C2semidirect
21. #36462C2semidirect
22. #36461C2semidirect
23. #36459C2semidirect
24. #36273C2semidirect
25. #36187C2semidirect
26. #36087C2semidirect
27. #36087C2semidirect
28. #36022C2semidirect
29. #36004C2semidirect
30. C2×#563C22semidirect
31. C2×#562C22semidirect
35. C2×#555C22semidirect
36. C2×#520C22semidirect
38. #2868C22semidirect
39. #2861C22semidirect
42. #2858C22semidirect
43. #2857C22semidirect
47. #2850C22semidirect
48. #2844C22semidirect
50. #2835C22semidirect
52. #2832C22semidirect
54. #2828C22semidirect
55. #2824C22semidirect
56. #2824C22semidirect
58. #2821C22semidirect
59. #2820C22semidirect
62. #2818C22semidirect
64. #2816C22semidirect
65. #2815C22semidirect
69. #2795C22semidirect
70. #2792C22semidirect
72. #2784C22semidirect
73. #2783C22semidirect
74. #2769C22semidirect
75. #2756C22semidirect
76. #2744C22semidirect
78. #2737C22semidirect
80. #2721C22semidirect
81. #2720C22semidirect
82. #2718C22semidirect
85. #2714C22semidirect
87. #2710C22semidirect
88. #2706C22semidirect
90. #2705C22semidirect
92. #2703C22semidirect
93. #2699C22semidirect
94. #2696C22semidirect
95. #2694C22semidirect
96. #2692C22semidirect
97. #2692C22semidirect
98. #2692C22semidirect
101. #2681C22semidirect
102. #2681C22semidirect
103. #2680C22semidirect
105. #2677C22semidirect
106. #2677C22semidirect
108. #2676C22semidirect
109. #2674C22semidirect
112. #2673C22semidirect
113. #2672C22semidirect
114. #2671C22semidirect
121. #2632C22semidirect
126. #2615C22semidirect
127. #2610C22semidirect
128. #2610C22semidirect
130. #2598C22semidirect
131. #2598C22semidirect
132. #2572C22semidirect
133. #2572C22semidirect
136. #2563C22semidirect
138. #2560C22semidirect
139. #2560C22semidirect
140. #2559C22semidirect
141. #2558C22semidirect
142. #2557C22semidirect
143. #2555C22semidirect
144. #2555C22semidirect
145. #2554C22semidirect
146. #2554C22semidirect
147. #2552C22semidirect
148. #2551C22semidirect
153. #2540C22semidirect
156. #2537C22semidirect
159. #2532C22semidirect
160. #2532C22semidirect
161. #2526C22semidirect
162. #2518C22semidirect
164. #2508C22semidirect
165. #2506C22semidirect
167. #2501C22semidirect
169. #2500C22semidirect
171. #2496C22semidirect
172. #2495C22semidirect
173. #2495C22semidirect
178. #2491C22semidirect
179. #2491C22semidirect
180. #2491C22semidirect
183. #2487C22semidirect
185. #2485C22semidirect
191. #2464C22semidirect
192. #2464C22semidirect
195. #2461C22semidirect
196. #2461C22semidirect
197. #2461C22semidirect
198. #2459C22semidirect
200. #2452C22semidirect
202. #2440C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
205. #2439C22semidirect
209. #2428C22semidirect
213. #2420C22semidirect
219. #2414C22semidirect
223. #2396C22semidirect
224. #2396C22semidirect
230. #2388C22semidirect
231. #2379C22semidirect
233. #2369C22semidirect
238. #2363C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
245. #2347C22semidirect
246. #2347C22semidirect
248. C4×#125C22semidirect
249. C4×#126C22semidirect
250. C4×#126C22semidirect
251. C4×#123C22semidirect
252. C4×#123C22semidirect
254. C4×#121C22semidirect
255. #2293C22semidirect
256. #2285C22semidirect
257. C42×D4C22semidirect
258. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#530942
#530552
#530152
#530092
#529302
#529162
#527262
#527122
#522972
#522482
#463382
#462322
#460002
#459942
#459932
#458332
#457912
#456092
#454862
#454832
#364622
#364612
#364592
#362732
#361872
#360872
#360222
#360042