Finite Group Databasebeta

← #8157112

Subgroups — #8157112

Order 512.

4782 conjugacy classes of subgroups.

The subgroup lattice has 1538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59809C212yesmaximal, complemented
2#59134C212yesmaximal, complemented
3#57111C214yesmaximal, complemented
4#54969C214yesmaximal, complemented
5#54281C214yesmaximal, complemented
6#53549C214yesmaximal, complemented
7#53070C212yesmaximal, complemented
8#52958C212yesmaximal, complemented
9#52429C214yesmaximal, complemented
10#45345C212yesmaximal, complemented
11#45325C212yesmaximal, complemented
12#42911C212yesmaximal, complemented
13#42828C212yesmaximal, complemented
14#42549C212yesmaximal, complemented
15#42446C212yesmaximal, complemented
16#40543C214yesmaximal, complemented
17#39804C212yesmaximal, complemented
18#39760C211yesmaximal, characteristic, complemented
19#39624C212yesmaximal, complemented
20#39615C211yesmaximal, characteristic, complemented
21#37838C212yesmaximal, complemented
22#37651C212yesmaximal, complemented
23#37461C212yesmaximal, complemented
24#36765C212yesmaximal, complemented
25#36586C211yesmaximal, characteristic, complemented
26#36561C211yesmaximal, characteristic, complemented
27#35014C211yesmaximal, characteristic, complemented
28C2×#2492C211yesmaximal, characteristic, complemented
29#34575C211yesmaximal, characteristic
30C2×#556C2212yescomplemented
31C2×#554C2212yes—
32C2×D4×Q8C2212yes—
33C2×#536C2212yes—
34C22×C4⋊Q8C2211yescharacteristic
35C2×#525C2212yes—
36C22×C22⋊Q8C2211yescharacteristic
37#2857C2211yescharacteristic
38#2857C2212yes—
39#2857C2211yescharacteristic
40#2850C2212yes—
41#2848C2212yes—
42#2839C2214yescomplemented
43#2838C2214yescomplemented
44#2837C2214yes—
45#2835C2214yescomplemented
46#2833C2214yescomplemented
47#2832C2214yes—
48#2832C2214yes—
49#2832C2214yes—
50#2832C2214yescomplemented
51#2831C2214yescomplemented
52#2827C2214yescomplemented
53#2821C2214yescomplemented
54#2811C2214yescomplemented
55#2808C2212yescomplemented
56#2806C2214yescomplemented
57#2806C2214yescomplemented
58#2806C2214yescomplemented
59#2805C2212yescomplemented
60#2800C2214yes—
61#2798C2214yes—
62#2798C2214yes—
63#2798C2214yes—
64#2798C2214yescomplemented
65#2794C2214yescomplemented
66#2779C2214yes—
67#2771C2214yescomplemented
68#2770C2214yescomplemented
69#2759C2214yes—
70#2759C2214yes—
71#2759C2214yescomplemented
72#2758C2214yescomplemented
73#2754C2214yes—
74#2754C2214yescomplemented
75#2745C2214yescomplemented
76#2734C2212yescomplemented
77#2732C2212yescomplemented
78#2731C2214yes—
79#2729C2214yescomplemented
80#2718C2214yes—
81#2718C2214yescomplemented
82#2716C2214yescomplemented
83#2716C2214yescomplemented
84#2716C2214yescomplemented
85#2713C2214yescomplemented
86#2712C2214yes—
87#2712C2214yes—
88#2712C2214yes—
89#2712C2214yescomplemented
90#2710C2214yes—
91#2710C2214yes—
92#2710C2214yescomplemented
93#2705C2214yes—
94#2695C2214yescomplemented
95#2694C2214yes—
96#2692C2214yescomplemented
97#2690C2214yes—
98#2687C2214yes—
99#2681C2214yes—
100#2680C2214yes—
101#2677C2214yes—
102#2674C2214yes—
103#2672C2214yes—
104#2663C2212yes—
105#2663C2212yes—
106#2662C2214yes—
107#2661C2212yes—
108#2661C2212yes—
109#2659C2211yescharacteristic
110#2659C2212yes—
111#2656C2211yescharacteristic
112#2654C2214yes—
113#2653C2214yes—
114#2653C2214yes—
115#2650C2214yes—
116#2646C2212yes—
117#2639C2212yes—
118#2639C2212yes—
119#2632C2214yes—
120#2632C2214yes—
121#2630C2214yes—
122#2628C2212yes—
123#2626C2212yes—
124#2621C2212yes—
125#2617C2211yescharacteristic
126#2617C2212yes—
127#2617C2211yescharacteristic
128#2616C2212yes—
129#2616C2212yes—
130#2607C2214yescomplemented
131#2596C2214yescomplemented
132#2589C2214yes—
133#2589C2214yescomplemented
134#2587C2214yes—
135#2582C2214yescomplemented
136#2571C2211yescharacteristic, complemented
137#2568C2212yescomplemented
138#2567C2214yescomplemented
139#2564C2214yes—
140#2564C2214yes—
141#2557C2214yescomplemented
142#2556C2214yescomplemented
143#2556C2214yescomplemented
144#2551C2211yescharacteristic, complemented
145#2549C2214yes—
146#2549C2214yes—
147#2547C2212yes—
148#2547C2212yescomplemented
149#2547C2211yescharacteristic, complemented
150#2545C2214yescomplemented
151#2542C2212yes—
152#2542C2211yescharacteristic, complemented
153#2536C2212yes—
154#2536C2212yes—
155#2521C2214yes—
156#2514C2212yescomplemented
157#2514C2212yescomplemented
158#2510C2214yes—
159#2510C2214yes—
160#2506C2212yescomplemented
161#2499C2212yescomplemented
162#2497C2212yes—
163#2494C2212yescomplemented
164#2492C2214yes—
165#2492C2212yes—
166#2492C2212yes—
167#2492C2214yes—
168#2492C2212yes—
169#2492C2212yes—
170#2492C2212yes—
171#2492C2214yescomplemented
172#2492C2212yescomplemented
173#2492C2212yescomplemented
174#2492C2212yescomplemented
175#2492C2212yescomplemented
176#2492C2212yescomplemented
177#2487C2212yes—
178#2486C2212yes—
179#2481C2214yes—
180#2481C2214yes—
181#2472C2214yes—
182#2472C2214yes—
183#2459C2214yescomplemented
184#2458C2214yes—
185#2458C2214yes—
186#2458C2214yes—
187#2452C2212yescomplemented
188#2451C2214yescomplemented
189#2451C2214yescomplemented
190#2451C2212yescomplemented
191#2450C2214yes—
192#2450C2214yes—
193#2448C2212yescomplemented
194#2446C2214yescomplemented
195#2446C2212yescomplemented
196#2446C2212yescomplemented
197#2444C2214yes—
198#2443C2214yes—
199#2440C2214yes—
200#2439C2212yescomplemented
201#2439C2212yescomplemented
202#2436C2214yes—
203#2434C2212yescomplemented
204#2429C2212yes—
205#2429C2212yescomplemented
206#2423C2212yes—
207#2423C2212yescomplemented
208#2418C2214yes—
209#2418C2214yes—
210#2417C2212yes—
211#2417C2212yes—
212#2417C2212yescomplemented
213#2415C2212yes—
214#2415C2212yes—
215#2415C2212yescomplemented
216#2409C2212yes—
217#2409C2212yes—
218#2409C2212yescomplemented
219#2409C2212yescomplemented
220#2395C2212yes—
221#2395C2212yes—
222C2×#400C2212yes—
223#2388C2212yes—
224#2388C2212yes—
225C2×#393C2212yes—
226#2365C2211yescharacteristic, complemented
227#2365C2212yescomplemented
228#2365C2211yescharacteristic, complemented
229#2364C2214yes—
230#2360C2212yescomplemented
231#2360C2212yescomplemented
232#2354C2211yescharacteristic, complemented
233#2352C2212yes—
234#2352C2212yes—
235D4×C4⋊C4C2211yescharacteristic, complemented
236#2347C2212yescomplemented
237Q8×C22⋊C4C2214yes—
238Q8×C22⋊C4C2212yescomplemented
239#2329C2212yes—
240#2329C2212yes—
241#2325C2212yes—
242#2323C2212yes—
243#2323C2212yes—
244#2312C2212yes—
245#2311C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×C22⋊Q8C2212yes—
248C4×#121C2211yescharacteristic
249C4×#121C2212yes—
250C4×#121C2211yescharacteristic
251C4×#121C2212yes—
252C2×#391C2211yescharacteristic
253C2×#391C2212yes—
254C2×#391C2211yescharacteristic
255C2×#388C2212yes—
256C2×#380C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C23×Q8C2311yescharacteristic
261C23×Q8C2312yes—
262C23×Q8C2312yes—
263C24×C4C2311yescharacteristic
264#556—48no—
265#554—48no—
266D4×Q8—48no—
267#536—48no—
268C2×C4⋊Q8—44no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2314yes—
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2314yes—
277C2×C4⋊Q8C2314yes—
278C2×C4⋊Q8C2312yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2314yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#124C2312yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287#525—48no—
288C2×#123C2312yes—
289C2×#123C2312yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×C22⋊Q8—44no—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×#121C2311yescharacteristic
314C2×#121C2312yes—
315C2×#121C2311yescharacteristic
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#120C2312yes—
319C2×#120C2312yes—
320C2×C4×Q8C2314yes—
321C2×C4×Q8C2312yes—
322C2×C4×Q8C2312yes—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2314yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2314yes—
329C2×C4×D4C2314yes—
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×#117C2312yes—
337C2×#117C2312yes—
338C2×#117C2312yes—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2312yes—
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2312yes—
348C22×C22⋊C4C2312yes—
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2312yes—
352#401C2314yes—
353#401C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#399C2314yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2312yes—
381#399C2314yes—
382#399C2312yes—
383#399C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2312yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2312yes—
417#397C2312yes—
418#397C2312yes—
419#397C2312yes—
420#397C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2312yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2312yes—
441#395C2314yes—
442#394C2312yes—
443#394C2314yes—
444#394C2312yes—
445#394C2312yes—
446#394C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2312yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#392C2312yes—
483#392C2312yes—
484#392C2312yes—
485#392C2312yes—
486#392C2312yes—
487#392C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2314yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2314yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
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#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
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#386C2312yes—
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2312yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
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#384C2312yes—
649#384C2314yes—
650#384C2311yescharacteristic
651#384C2311yescharacteristic
652#383C2314yes—
653#383C2314yes—
654#382C2312yes—
655#382C2312yes—
656#382C2312yes—
657#381C2314yes—
658#380C2312yes—
659#380C2314yes—
660#380C2314yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2311yescharacteristic
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2311yescharacteristic
678#380C2314yes—
679#380C2314yes—
680#379C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2311yescharacteristic
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C2×#95C2312yes—
712C2×#95C2312yes—
713C2×#95C2312yes—
714C2×#95C2311yescharacteristic
715C2×#95C2312yes—
716C2×#95C2311yescharacteristic
717C2×#95C2312yes—
718C2×#95C2312yes—
719C25C2411yescharacteristic
720C2×#41—44no—
721C2×#41—44no—
722C2×#41—44no—
723C22×Q8—24no—
724C22×Q8—28no—
725C22×Q8—42no—
726C22×Q8—44no—
727C22×Q8—44no—
728C22×Q8—44no—
729C22×Q8—42no—
730C22×Q8—44no—
731C22×Q8—82no—
732C22×Q8C2412yes—
733C22×Q8C2412yes—
734C22×Q8C2414yes—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×Q8C2414yes—
738C22×Q8C2414yes—
739C22×Q8C2412yes—
740C22×Q8C2414yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2411yescharacteristic
744C22×D4C2412yes—
745C22×D4C2411yescharacteristic
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C23×C4—24no—
752C23×C4—42no—
753C23×C4—42no—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2411yescharacteristic
759C23×C4C2412yes—
760C23×C4C2411yescharacteristic
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2412yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C4⋊Q8—28no—
771C4⋊Q8—44no—
772C4⋊Q8—42no—
773C4⋊Q8—48no—
774C4⋊Q8—44no—
775C4⋊Q8—42no—
776C4⋊Q8—44no—
777C4⋊Q8—48no—
778C4⋊Q8—48no—
779C4⋊Q8—82no—
780#126—48no—
781#126—48no—
782#125—48no—
783#124—48no—
784#124—48no—
785#124—82no—
786#124—84no—
787#124—84no—
788#123—48no—
789#123—48no—
790#123—44no—
791#123—44no—
792#123—84no—
793C22⋊Q8—28no—
794C22⋊Q8—28no—
795C22⋊Q8—28no—
796C22⋊Q8—28no—
797C22⋊Q8—44no—
798C22⋊Q8—48no—
799C22⋊Q8—48no—
800C22⋊Q8—48no—
801C22⋊Q8—48no—
802C22⋊Q8—48no—
803C22⋊Q8—44no—
804C22⋊Q8—44no—
805C22⋊Q8—44no—
806C22⋊Q8—44no—
807C22⋊Q8—44no—
808C22⋊Q8—44no—
809C22⋊Q8—44no—
810C22⋊Q8—44no—
811C22⋊Q8—44no—
812#121—24no—
813#121—24no—
814#121—28no—
815#121—44no—
816#121—44no—
817#120—44no—
818#120—44no—
819C4×Q8—44no—
820C4×Q8—44no—
821C4×Q8—44no—
822C4×Q8—48no—
823C4×Q8—82no—
824C4×Q8—84no—
825C4×D4—28no—
826C4×D4—28no—
827C4×D4—42no—
828C4×D4—42no—
829C4×D4—44no—
830C4×D4—44no—
831C4×D4—44no—
832C4×D4—48no—
833C4×D4—48no—
834C4×D4—82no—
835#117—28no—
836#117—44no—
837#117—44no—
838C2×C4⋊C4—24no—
839C2×C4⋊C4—24no—
840C2×C4⋊C4—44no—
841C2×C4⋊C4—42no—
842C2×C4⋊C4—44no—
843C2×C4⋊C4—44no—
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C22⋊C4—24no—
904C2×C22⋊C4—24no—
905C2×C22⋊C4—44no—
906C2×C22⋊C4—82no—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C42—42no—
958C2×C42—42no—
959C2×C42—82no—
960C2×C42C2412yes—
961C2×C42C2412yes—
962C2×C42C2414yes—
963C2×C42C2412yes—
964C2×C42C2411yescharacteristic
965C2×C42C2411yescharacteristic
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2412yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2412yes—
975C2×C42C2412yes—
976C2×C42C2412yes—
977C2×C42C2412yes—
978C2×C42C2411yescharacteristic
979C2×C42C2411yescharacteristic
980#95C2414yes—
981#95C2412yes—
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2412yes—
986#95C2412yes—
987#95C2412yes—
988#95C2412yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2412yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—41no—
1048C24—41no—
1049C24—41no—
1050C24—41no—
1051C24C2512yes—
1052C24C2512yes—
1053C24C2512yes—
1054C24C2511yescharacteristic
1055#41—816no—
1056C2×Q8—24no—
1057C2×Q8—24no—
1058C2×Q8—24no—
1059C2×Q8—28no—
1060C2×Q8—24no—
1061C2×Q8—24no—
1062C2×Q8—28no—
1063C2×Q8—24no—
1064C2×Q8—28no—
1065C2×Q8—24no—
1066C2×Q8—24no—
1067C2×Q8—44no—
1068C2×Q8—42no—
1069C2×Q8—42no—
1070C2×Q8—42no—
1071C2×Q8—44no—
1072C2×Q8—44no—
1073C2×Q8—44no—
1074C2×Q8—44no—
1075C2×Q8—42no—
1076C2×Q8—42no—
1077C2×Q8—42no—
1078C2×Q8—44no—
1079C2×Q8—42no—
1080C2×Q8—44no—
1081C2×Q8—44no—
1082C2×Q8—44no—
1083C2×Q8—88no—
1084C2×Q8—816no—
1085C2×Q8—816no—
1086C2×D4—24no—
1087C2×D4—24no—
1088C2×D4—24no—
1089C2×D4—24no—
1090C2×D4—24no—
1091C2×D4—24no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—24no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—41no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—41no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—24no—
1120C22×C4—24no—
1121C22×C4—24no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—24no—
1125C22×C4—24no—
1126C22×C4—24no—
1127C22×C4—24no—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—42no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—41no—
1148C22×C4—42no—
1149C22×C4—44no—
1150C22×C4—42no—
1151C22×C4—44no—
1152C22×C4—42no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—42no—
1156C22×C4—44no—
1157C22×C4—42no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—88no—
1162C22×C4H(5,𝔽2)14yes—
1163C22×C42−1+414yes—
1164C22×C42−1+414yes—
1165C22×C4C2511yescharacteristic
1166C22×C4C2511yescharacteristic
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2514yes—
1170C22×C4C2512yes—
1171C22×C4C2514yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2514yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2514yes—
1179C22×C4C2512yes—
1180C22×C4C2514yes—
1181C22×C4C2512yes—
1182C22×C4C2514yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C4⋊C4—22no—
1191C4⋊C4—24no—
1192C4⋊C4—24no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—24no—
1196C4⋊C4—24no—
1197C4⋊C4—28no—
1198C4⋊C4—28no—
1199C4⋊C4—24no—
1200C4⋊C4—24no—
1201C4⋊C4—24no—
1202C4⋊C4—28no—
1203C4⋊C4—28no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—28no—
1209C4⋊C4—24no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—42no—
1213C4⋊C4—44no—
1214C4⋊C4—42no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—41no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—41no—
1248C4⋊C4H(5,𝔽2)14yes—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—28no—
1258C22⋊C4—24no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—24no—
1265C22⋊C4—24no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
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—44no—
1285C22⋊C4—44no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C42—24no—
1300C42—28no—
1301C42—24no—
1302C42—24no—
1303C42—22no—
1304C42—22no—
1305C42—41no—
1306C42—41no—
1307C42—42no—
1308C42—42no—
1309C42—42no—
1310C42—42no—
1311C42—42no—
1312C42—44no—
1313C42—44no—
1314C42—44no—
1315C42—44no—
1316C42—44no—
1317C42—44no—
1318C42—44no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—44no—
1345C23—44no—
1346C23—44no—
1347C23—82no—
1348C23—82no—
1349C23—82no—
1350C23—82no—
1351C23C2×H(5,𝔽2)12yes—
1352C23C2×2−1+412yes—
1353C23C2×2−1+412yes—
1354C23C2611yescharacteristic
1355Q8—416no—
1356Q8—48no—
1357Q8—48no—
1358Q8—84no—
1359Q8—84no—
1360Q8—88no—
1361Q8—88no—
1362Q8—84no—
1363Q8—164no—
1364D4—44no—
1365D4—48no—
1366D4—48no—
1367D4—84no—
1368D4—82no—
1369D4—84no—
1370D4—84no—
1371D4—84no—
1372D4—84no—
1373D4—84no—
1374C2×C4—22no—
1375C2×C4—21no—
1376C2×C4—22no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—22no—
1382C2×C4—21no—
1383C2×C4—22no—
1384C2×C4—28no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—24no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—48no—
1445C2×C4—44no—
1446C2×C4—48no—
1447C2×C4—48no—
1448C2×C4—48no—
1449C2×C4—84no—
1450C2×C4—84no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4—84no—
1454C2×C4—84no—
1455C2×C4—88no—
1456C2×C4—164no—
1457C2×C4C2×H(5,𝔽2)14yes—
1458C2×C4C2×H(5,𝔽2)12yes—
1459C2×C4C2×H(5,𝔽2)12yes—
1460C2×C4C2×H(5,𝔽2)12yes—
1461C2×C4C2×2−1+412yes—
1462C2×C4C2×2−1+412yes—
1463C2×C4C2×2−1+414yes—
1464C2×C4#58512yes—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—42no—
1472C22—42no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—42no—
1480C22—42no—
1481C22—42no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—88no—
1493C22#355014yes—
1494C22C22×H(5,𝔽2)11yescharacteristic
1495C22C22×H(5,𝔽2)11yescharacteristic
1496C22C22×2−1+411yescharacteristic
1497C22C22×2−1+411yescharacteristic
1498C22C2×#58511yescharacteristic
1499C22H(7,𝔽2)11yescharacteristic
1500C222−1+611yescharacteristic
1501C4—22no—
1502C4—24no—
1503C4—24no—
1504C4—22no—
1505C4—22no—
1506C4—42no—
1507C4—42no—
1508C4—42no—
1509C4—44no—
1510C4—44no—
1511C4—42no—
1512C4—42no—
1513C4—42no—
1514C4—42no—
1515C4—44no—
1516C4—42no—
1517C4—42no—
1518C4—42no—
1519C4—44no—
1520C4—44no—
1521C4—44no—
1522C4—42no—
1523C4—41no—
1524C4—41no—
1525C4#355814yes—
1526C2—24no—
1527C2—82no—
1528C2—82no—
1529C2—82no—
1530C2C2×#355811yescharacteristic
1531C2C2×#355011yescharacteristic
1532C2#6287811yescharacteristic
1533C2#6289411yescharacteristic
1534C2#6290211yescharacteristic
1535C2#6291311yescharacteristic
1536C2#6293211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34575C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59809C2semidirect
2. #59134C2semidirect
3. #57111C2semidirect
4. #54969C2semidirect
5. #54281C2semidirect
6. #53549C2semidirect
7. #53070C2semidirect
8. #52958C2semidirect
9. #52429C2semidirect
10. #45345C2semidirect
11. #45325C2semidirect
12. #42911C2semidirect
13. #42828C2semidirect
14. #42549C2semidirect
15. #42446C2semidirect
16. #40543C2semidirect
17. #39804C2semidirect
18. #39760C2semidirect
19. #39624C2semidirect
20. #39615C2semidirect
21. #37838C2semidirect
22. #37651C2semidirect
23. #37461C2semidirect
24. #36765C2semidirect
25. #36586C2semidirect
26. #36561C2semidirect
27. #35014C2semidirect
28. C2×#2492C2semidirect
30. C2×#556C22semidirect
42. #2839C22semidirect
43. #2838C22semidirect
45. #2835C22semidirect
46. #2833C22semidirect
50. #2832C22semidirect
51. #2831C22semidirect
52. #2827C22semidirect
53. #2821C22semidirect
54. #2811C22semidirect
55. #2808C22semidirect
56. #2806C22semidirect
57. #2806C22semidirect
58. #2806C22semidirect
59. #2805C22semidirect
64. #2798C22semidirect
65. #2794C22semidirect
67. #2771C22semidirect
68. #2770C22semidirect
71. #2759C22semidirect
72. #2758C22semidirect
74. #2754C22semidirect
75. #2745C22semidirect
76. #2734C22semidirect
77. #2732C22semidirect
79. #2729C22semidirect
81. #2718C22semidirect
82. #2716C22semidirect
83. #2716C22semidirect
84. #2716C22semidirect
85. #2713C22semidirect
89. #2712C22semidirect
92. #2710C22semidirect
94. #2695C22semidirect
96. #2692C22semidirect
130. #2607C22semidirect
131. #2596C22semidirect
133. #2589C22semidirect
135. #2582C22semidirect
136. #2571C22semidirect
137. #2568C22semidirect
138. #2567C22semidirect
141. #2557C22semidirect
142. #2556C22semidirect
143. #2556C22semidirect
144. #2551C22semidirect
148. #2547C22semidirect
149. #2547C22semidirect
150. #2545C22semidirect
152. #2542C22semidirect
156. #2514C22semidirect
157. #2514C22semidirect
160. #2506C22semidirect
161. #2499C22semidirect
163. #2494C22semidirect
171. #2492C22semidirect
172. #2492C22semidirect
173. #2492C22semidirect
174. #2492C22semidirect
175. #2492C22semidirect
176. #2492C22semidirect
183. #2459C22semidirect
187. #2452C22semidirect
188. #2451C22semidirect
189. #2451C22semidirect
190. #2451C22semidirect
193. #2448C22semidirect
194. #2446C22semidirect
195. #2446C22semidirect
196. #2446C22semidirect
200. #2439C22semidirect
201. #2439C22semidirect
203. #2434C22semidirect
205. #2429C22semidirect
207. #2423C22semidirect
212. #2417C22semidirect
215. #2415C22semidirect
218. #2409C22semidirect
219. #2409C22semidirect
226. #2365C22semidirect
227. #2365C22semidirect
228. #2365C22semidirect
230. #2360C22semidirect
231. #2360C22semidirect
232. #2354C22semidirect
235. D4×C4⋊C4C22semidirect
236. #2347C22semidirect
238. Q8×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#598092
#591342
#571112
#549692
#542812
#535492
#530702
#529582
#524292
#453452
#453252
#429112
#428282
#425492
#424462
#405432
#398042
#397602
#396242
#396152
#378382
#376512
#374612
#367652
#365862
#365612
#350142
C2×#24922
#345752