Finite Group Databasebeta

← #8751228

Subgroups — #8751228

Order 512.

5374 conjugacy classes of subgroups.

The subgroup lattice has 1555 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59379C211yesmaximal, characteristic, complemented
2#59130C212yesmaximal, complemented
3#57477C214yesmaximal, complemented
4#56791C214yesmaximal, complemented
5#56660C212yesmaximal, complemented
6#55077C214yesmaximal, complemented
7#54913C214yesmaximal, complemented
8#53064C212yesmaximal, complemented
9#52958C211yesmaximal, characteristic, complemented
10#52396C212yesmaximal, complemented
11#52323C214yesmaximal, complemented
12#47141C212yesmaximal, complemented
13#45418C211yesmaximal, characteristic, complemented
14#45385C212yesmaximal, complemented
15#45289C212yesmaximal, complemented
16#45192C212yesmaximal, complemented
17#45049C212yesmaximal, complemented
18#42847C212yesmaximal, complemented
19#42807C212yesmaximal, complemented
20#42788C212yesmaximal, complemented
21#42767C212yesmaximal, complemented
22#42677C211yesmaximal, characteristic, complemented
23#41324C214yesmaximal, complemented
24#40658C212yesmaximal, complemented
25#40196C212yesmaximal, complemented
26#38918C211yesmaximal, characteristic, complemented
27#36677C211yesmaximal, characteristic, complemented
28#36078C211yesmaximal, characteristic, complemented
29#35687C212yesmaximal, complemented
30C22×2−1+4C2211yescharacteristic
31C2×#555C2211yescharacteristic
32C2×D4×Q8C2212yes—
33C2×D4×Q8C2212yescomplemented
34C2×D4×Q8C2212yescomplemented
35C2×#548C2212yes—
36C2×#546C2211yescharacteristic
37C2×#546C2212yes—
38C2×#542C2212yes—
39C22×#124C2211yescharacteristic
40#2855C2211yescharacteristic
41#2841C2211yescharacteristic
42#2838C2212yescomplemented
43#2838C2214yescomplemented
44#2837C2212yescomplemented
45#2835C2212yes—
46#2832C2214yescomplemented
47#2832C2212yescomplemented
48#2831C2214yescomplemented
49#2829C2212yescomplemented
50#2828C2212yescomplemented
51#2828C2214yescomplemented
52#2828C2214yescomplemented
53#2826C2211yescharacteristic
54#2825C2212yes—
55#2825C2214yescomplemented
56#2824C2211yescharacteristic
57#2824C2214yescomplemented
58#2821C2214yescomplemented
59#2817C2214yescomplemented
60#2815C2211yescharacteristic
61#2815C2212yes—
62#2813C2212yes—
63#2811C2212yescomplemented
64#2803C2214yescomplemented
65#2787C2214yescomplemented
66#2786C2214yescomplemented
67#2786C2214yescomplemented
68#2784C2214yescomplemented
69#2764C2212yes—
70#2764C2214yescomplemented
71#2759C2214yescomplemented
72#2759C2214yescomplemented
73#2756C2214yescomplemented
74#2756C2214yescomplemented
75#2752C2214yescomplemented
76#2751C2214yescomplemented
77#2751C2214yescomplemented
78#2745C2214yes—
79#2745C2214yescomplemented
80#2745C2214yescomplemented
81#2741C2214yescomplemented
82#2737C2214yescomplemented
83#2737C2214yescomplemented
84#2734C2214yescomplemented
85#2729C2214yes—
86#2729C2214yescomplemented
87#2728C2214yes—
88#2717C2214yes—
89#2717C2212yes—
90#2716C2214yescomplemented
91#2712C2212yes—
92#2712C2214yes—
93#2712C2214yescomplemented
94#2710C2214yes—
95#2703C2214yes—
96#2700C2214yescomplemented
97#2700C2214yescomplemented
98#2699C2214yescomplemented
99#2696C2214yescomplemented
100#2696C2214yescomplemented
101#2692C2214yescomplemented
102#2692C2214yescomplemented
103#2692C2214yescomplemented
104#2691C2214yes—
105#2687C2214yes—
106#2687C2214yescomplemented
107#2686C2214yes—
108#2686C2214yes—
109#2686C2214yescomplemented
110#2677C2212yes—
111#2677C2212yescomplemented
112#2677C2214yescomplemented
113#2676C2214yes—
114#2674C2214yes—
115#2670C2214yes—
116#2670C2214yes—
117#2665C2214yescomplemented
118#2653C2214yes—
119#2653C2214yescomplemented
120#2653C2214yescomplemented
121#2646C2214yescomplemented
122#2640C2211yescharacteristic
123#2640C2214yescomplemented
124#2638C2214yes—
125#2638C2214yescomplemented
126#2631C2214yescomplemented
127#2624C2212yes—
128#2622C2212yes—
129#2621C2212yescomplemented
130#2617C2212yes—
131#2616C2214yescomplemented
132#2616C2212yescomplemented
133#2615C2211yescharacteristic
134#2614C2212yes—
135#2605C2214yescomplemented
136#2603C2214yescomplemented
137#2600C2214yes—
138#2595C2214yescomplemented
139#2586C2214yescomplemented
140#2578C2214yescomplemented
141#2577C2214yescomplemented
142#2569C2214yescomplemented
143#2563C2212yes—
144#2560C2214yescomplemented
145#2557C2214yes—
146#2547C2212yes—
147#2547C2212yes—
148#2547C2211yescharacteristic
149#2545C2212yes—
150#2540C2211yescharacteristic
151#2540C2212yes—
152#2536C2212yes—
153#2536C2212yescomplemented
154#2535C2212yes—
155#2531C2214yescomplemented
156#2527C2214yescomplemented
157#2523C2212yes—
158#2514C2212yescomplemented
159#2510C2214yescomplemented
160#2495C2212yescomplemented
161#2494C2212yescomplemented
162#2493C2214yescomplemented
163#2492C2212yescomplemented
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2492C2214yescomplemented
167#2492C2212yescomplemented
168#2491C2214yes—
169#2485C2212yescomplemented
170#2483C2212yes—
171#2482C2212yes—
172#2480C2214yes—
173#2474C2214yescomplemented
174#2472C2214yes—
175#2472C2214yes—
176#2463C2212yes—
177#2463C2214yes—
178#2463C2212yescomplemented
179#2461C2214yes—
180#2459C2214yescomplemented
181#2457C2214yescomplemented
182#2451C2212yescomplemented
183#2451C2212yescomplemented
184#2447C2212yes—
185#2447C2214yescomplemented
186#2446C2212yescomplemented
187#2446C2212yescomplemented
188#2444C2214yescomplemented
189#2438C2214yescomplemented
190#2437C2214yes—
191#2436C2212yes—
192#2436C2212yes—
193#2436C2211yescharacteristic
194#2434C2211yescharacteristic
195#2434C2212yescomplemented
196#2434C2214yescomplemented
197#2432C2212yes—
198#2432C2212yes—
199#2432C2214yescomplemented
200#2432C2214yescomplemented
201#2430C2214yes—
202#2430C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2426C2212yes—
206#2424C2214yes—
207#2421C2212yes—
208#2421C2212yescomplemented
209#2420C2212yes—
210#2415C2212yes—
211#2415C2212yescomplemented
212#2414C2212yes—
213#2412C2212yes—
214#2412C2214yes—
215#2409C2212yes—
216#2409C2211yescharacteristic
217#2409C2212yes—
218#2409C2211yescharacteristic
219#2409C2212yescomplemented
220#2409C2212yescomplemented
221#2409C2214yescomplemented
222#2408C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2214yescomplemented
226#2407C2214yescomplemented
227#2404C2212yes—
228#2404C2214yes—
229#2401C2212yescomplemented
230#2397C2211yescharacteristic
231#2395C2212yescomplemented
232#2392C2212yes—
233#2392C2212yescomplemented
234#2388C2211yescharacteristic
235#2388C2212yescomplemented
236#2388C2214yescomplemented
237C2×#393C2212yes—
238#2372C2212yes—
239#2367C2212yes—
240#2367C2212yes—
241#2362C2212yescomplemented
242#2358C2214yes—
243#2356C2212yescomplemented
244#2341C2212yes—
245Q8×C22⋊C4C2212yescomplemented
246Q8×C22⋊C4C2212yescomplemented
247#2339C2211yescharacteristic
248#2339C2212yes—
249D4×C22⋊C4C2211yescharacteristic
250#2337C2214yes—
251#2327C2212yescomplemented
252#2324C2212yes—
253#2319C2211yescharacteristic
254#2315C2212yes—
255#2310C2212yescomplemented
256C4×C22⋊Q8C2212yes—
257C4×#123C2211yescharacteristic
258C4×#121C2212yes—
259C2×2−1+4—48no—
260C2×2−1+4—44no—
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2314yes—
265C22×#41C2312yes—
266C23×Q8C2311yescharacteristic
267C23×Q8C2312yes—
268C23×Q8C2312yes—
269C23×Q8C2312yes—
270C23×Q8C2311yescharacteristic
271C23×D4C2311yescharacteristic
272#555—44no—
273D4×Q8—48no—
274D4×Q8—48no—
275D4×Q8—48no—
276#548—48no—
277#546—44no—
278#546—48no—
279#542—48no—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2314yes—
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2314yes—
286C2×C4⋊Q8C2314yes—
287C2×#126C2314yes—
288C2×#124—44no—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2314yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2311yescharacteristic
295C2×#124C2314yes—
296C2×#124C2312yes—
297C2×#124C2314yes—
298C2×#124C2314yes—
299C2×#123C2314yes—
300C2×#123C2312yes—
301C2×#123C2311yescharacteristic
302C2×#123C2314yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×#121C2312yes—
320C2×#121C2311yescharacteristic
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#120C2314yes—
329C2×#120C2312yes—
330C2×#120C2314yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2314yes—
356C22×C22⋊C4C2312yes—
357C22×C42C2311yescharacteristic
358#401C2312yes—
359#401C2314yes—
360#401C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2314yes—
369#400C2312yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#399C2312yes—
376#399C2314yes—
377#399C2311yescharacteristic
378#399C2312yes—
379#399C2311yescharacteristic
380#399C2312yes—
381#398C2314yes—
382#398C2312yes—
383#398C2314yes—
384#398C2314yes—
385#398C2312yes—
386#398C2314yes—
387#398C2314yes—
388#398C2312yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#397C2312yes—
393#397C2312yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2312yes—
400#397C2314yes—
401#397C2314yes—
402#397C2312yes—
403#397C2312yes—
404#397C2314yes—
405#397C2312yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2312yes—
416#397C2312yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#396C2312yes—
424#396C2314yes—
425#396C2312yes—
426#396C2312yes—
427#396C2312yes—
428#396C2314yes—
429#396C2312yes—
430#396C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2312yes—
438#395C2314yes—
439#395C2312yes—
440#395C2311yescharacteristic
441#395C2314yes—
442#395C2312yes—
443#395C2314yes—
444#395C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2312yes—
459#394C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2311yescharacteristic
468#394C2312yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2311yescharacteristic
484#393C2312yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2312yes—
489#393C2314yes—
490#393C2314yes—
491#393C2312yes—
492#393C2314yes—
493#393C2312yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2312yes—
499#393C2312yes—
500#392C2311yescharacteristic
501#392C2314yes—
502#392C2312yes—
503#392C2312yes—
504#392C2312yes—
505#392C2312yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2311yescharacteristic
511#392C2312yes—
512#392C2314yes—
513#392C2312yes—
514#392C2311yescharacteristic
515#392C2312yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#391C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2312yes—
541#391C2314yes—
542#391C2314yes—
543#391C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
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#386C2314yes—
615#386C2312yes—
616#386C2314yes—
617#386C2314yes—
618#386C2311yescharacteristic
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#385C2311yescharacteristic
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#383C2314yes—
664#383C2314yes—
665#383C2314yes—
666#382C2312yes—
667#382C2312yes—
668#381C2314yes—
669#381C2314yes—
670#381C2312yes—
671#381C2311yescharacteristic
672#381C2314yes—
673#381C2312yes—
674#381C2312yes—
675#381C2314yes—
676#381C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2311yescharacteristic
687#380C2312yes—
688#380C2311yescharacteristic
689#380C2312yes—
690#380C2312yes—
691#380C2314yes—
692#380C2312yes—
693#380C2314yes—
694#380C2312yes—
695#380C2314yes—
696#379C2312yes—
697#379C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2311yescharacteristic
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719#376C2311yescharacteristic
720#376C2314yes—
721C2×#95C2314yes—
722C2×#95C2312yes—
723C25C2412yes—
7242−1+4—464no—
725C2×#41—28no—
726C2×#41—24no—
727C2×#41—28no—
728C2×#41—48no—
729C2×#41—44no—
730C2×#41—42no—
731C2×#41—44no—
732C2×#41—48no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—48no—
736C2×#41—48no—
737C22×Q8—28no—
738C22×Q8—28no—
739C22×Q8—28no—
740C22×Q8—44no—
741C22×Q8—48no—
742C22×Q8—44no—
743C22×Q8—42no—
744C22×Q8—44no—
745C22×Q8—42no—
746C22×Q8—44no—
747C22×Q8—44no—
748C22×Q8—44no—
749C22×Q8C2412yes—
750C22×Q8C2411yescharacteristic
751C22×Q8C2412yes—
752C22×Q8C2412yes—
753C22×Q8C2414yes—
754C22×Q8C2414yes—
755C22×Q8C2412yes—
756C22×Q8C2414yes—
757C22×Q8C2412yes—
758C22×Q8C2411yescharacteristic
759C22×D4—24no—
760C22×D4—44no—
761C22×D4C2411yescharacteristic
762C22×D4C2414yes—
763C22×D4C2411yescharacteristic
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2411yescharacteristic
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2411yescharacteristic
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2411yescharacteristic
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2412yes—
785C23×C4C2411yescharacteristic
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2412yes—
791C23×C4C2411yescharacteristic
792C23×C4C2414yes—
793C23×C4C2414yes—
794C4⋊Q8—28no—
795C4⋊Q8—44no—
796C4⋊Q8—42no—
797C4⋊Q8—44no—
798C4⋊Q8—48no—
799C4⋊Q8—48no—
800C4⋊Q8—48no—
801#126—48no—
802#124—28no—
803#124—28no—
804#124—48no—
805#124—44no—
806#124—42no—
807#124—48no—
808#124—48no—
809#124—44no—
810#124—48no—
811#124—48no—
812#123—48no—
813#123—48no—
814#123—42no—
815#123—44no—
816C22⋊Q8—28no—
817C22⋊Q8—28no—
818C22⋊Q8—48no—
819C22⋊Q8—48no—
820C22⋊Q8—48no—
821C22⋊Q8—48no—
822C22⋊Q8—48no—
823C22⋊Q8—48no—
824C22⋊Q8—42no—
825C22⋊Q8—44no—
826C22⋊Q8—44no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8—48no—
831C22⋊Q8—48no—
832#121—28no—
833#121—48no—
834#121—48no—
835#121—44no—
836#121—42no—
837#121—44no—
838#121—44no—
839#121—44no—
840#121—44no—
841#120—48no—
842#120—48no—
843#120—44no—
844C4×Q8—28no—
845C4×Q8—44no—
846C4×Q8—44no—
847C4×Q8—44no—
848C4×D4—24no—
849C4×D4—44no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—42no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—48no—
858C4×D4—42no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—48no—
862#117—44no—
863#117—44no—
864#117—44no—
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C22⋊C4—48no—
908C2×C22⋊C4—44no—
909C2×C22⋊C4—44no—
910C2×C22⋊C4—44no—
911C2×C22⋊C4—44no—
912C2×C22⋊C4C2411yescharacteristic
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2411yescharacteristic
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C42—42no—
979C2×C42C2412yes—
980C2×C42C2412yes—
981C2×C42C2411yescharacteristic
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2414yes—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2414yes—
988C2×C42C2414yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993#95C2412yes—
994#95C2411yescharacteristic
995#95C2412yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2411yescharacteristic
1003#95C2414yes—
1004#95C2411yescharacteristic
1005#95C2414yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2411yescharacteristic
1020#95C2412yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056C24—24no—
1057C24—24no—
1058C24—42no—
1059C24—44no—
1060C24—44no—
1061C24C2512yes—
1062C24C2512yes—
1063C24C2511yescharacteristic
1064C24C2512yes—
1065C24C2512yes—
1066C24C2511yescharacteristic
1067#41—432no—
1068#41—416no—
1069#41—464no—
1070#41—432no—
1071#41—416no—
1072C2×Q8—24no—
1073C2×Q8—24no—
1074C2×Q8—24no—
1075C2×Q8—24no—
1076C2×Q8—24no—
1077C2×Q8—22no—
1078C2×Q8—28no—
1079C2×Q8—28no—
1080C2×Q8—24no—
1081C2×Q8—28no—
1082C2×Q8—42no—
1083C2×Q8—44no—
1084C2×Q8—44no—
1085C2×Q8—41no—
1086C2×Q8—42no—
1087C2×Q8—44no—
1088C2×Q8—44no—
1089C2×Q8—44no—
1090C2×Q8—42no—
1091C2×Q8—44no—
1092C2×Q8—42no—
1093C2×Q8—44no—
1094C2×Q8—42no—
1095C2×Q8—44no—
1096C2×Q8—42no—
1097C2×Q8—416no—
1098C2×Q8—432no—
1099C2×Q8—432no—
1100C2×Q8—816no—
1101C2×Q8—88no—
1102C2×Q8H(5,𝔽2)18yes—
1103C2×D4—24no—
1104C2×D4—28no—
1105C2×D4—24no—
1106C2×D4—28no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—22no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—22no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—42no—
1126C2×D4—44no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—41no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—41no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—41no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—88no—
1150C2×D4H(5,𝔽2)14yes—
1151C22×C4—24no—
1152C22×C4—28no—
1153C22×C4—24no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—28no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—22no—
1163C22×C4—28no—
1164C22×C4—28no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—28no—
1169C22×C4—42no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—42no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—44no—
1182C22×C4—41no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2514yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2511yescharacteristic
1212C4⋊C4—22no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—42no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—42no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—41no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—44no—
1236C4⋊C4—41no—
1237C4⋊C4—42no—
1238C4⋊C4—44no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C22⋊C4—28no—
1255C22⋊C4—28no—
1256C22⋊C4—28no—
1257C22⋊C4—24no—
1258C22⋊C4—22no—
1259C22⋊C4—24no—
1260C22⋊C4—28no—
1261C22⋊C4—28no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—42no—
1266C22⋊C4—41no—
1267C22⋊C4—44no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—44no—
1271C22⋊C4—42no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—42no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—42no—
1279C22⋊C4—44no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—44no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—41no—
1288C22⋊C4—42no—
1289C22⋊C4—44no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—44no—
1294C22⋊C4—42no—
1295C22⋊C4—41no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C42—24no—
1321C42—24no—
1322C42—24no—
1323C42—22no—
1324C42—24no—
1325C42—28no—
1326C42—42no—
1327C42—44no—
1328C42—44no—
1329C42—44no—
1330C42—44no—
1331C42—44no—
1332C42—44no—
1333C42—42no—
1334C23—22no—
1335C23—21no—
1336C23—24no—
1337C23—22no—
1338C23—24no—
1339C23—21no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—24no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—21no—
1352C23—21no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—21no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—24no—
1365C23—22no—
1366C23—48no—
1367C23—84no—
1368C23—84no—
1369C23—88no—
1370C23—164no—
1371C23C2×H(5,𝔽2)14yes—
1372C23#58512yes—
1373C23C2611yescharacteristic
1374Q8—216no—
1375Q8—48no—
1376Q8—416no—
1377Q8—44no—
1378Q8—44no—
1379Q8—48no—
1380Q8—88no—
1381Q8—84no—
1382Q8—162no—
1383Q8—164no—
1384D4—28no—
1385D4—416no—
1386D4—48no—
1387D4—48no—
1388D4—48no—
1389D4—48no—
1390D4—48no—
1391D4—44no—
1392D4—44no—
1393D4—88no—
1394D4—82no—
1395D4—84no—
1396D4—84no—
1397D4—82no—
1398D4—84no—
1399D4—164no—
1400D4—162no—
1401D4—164no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—21no—
1419C2×C4—24no—
1420C2×C4—24no—
1421C2×C4—24no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—48no—
1463C2×C4—416no—
1464C2×C4—416no—
1465C2×C4—48no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—48no—
1469C2×C4—48no—
1470C2×C4—88no—
1471C2×C4—84no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—84no—
1475C2×C4—164no—
1476C2×C4—164no—
1477C2×C4C2×H(5,𝔽2)18yes—
1478C2×C4C2×H(5,𝔽2)14yes—
1479C2×C4C2×H(5,𝔽2)12yes—
1480C22—24no—
1481C22—22no—
1482C22—24no—
1483C22—24no—
1484C22—24no—
1485C22—44no—
1486C22—42no—
1487C22—41no—
1488C22—44no—
1489C22—41no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—42no—
1495C22—44no—
1496C22—42no—
1497C22—41no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—41no—
1502C22—42no—
1503C22—42no—
1504C22—44no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—41no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—168no—
1515C22C22×H(5,𝔽2)12yes—
1516C22C22×H(5,𝔽2)11yescharacteristic
1517C22C2×#58511yescharacteristic
1518C222−1+611yescharacteristic
1519C222−1+612yes—
1520C4—28no—
1521C4—42no—
1522C4—44no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—41no—
1527C4—42no—
1528C4—42no—
1529C4—44no—
1530C4—41no—
1531C4—42no—
1532C4—44no—
1533C4—42no—
1534C4—42no—
1535C4—44no—
1536C4—42no—
1537C4—41no—
1538C4—42no—
1539C4—41no—
1540C4—42no—
1541C4—44no—
1542C4#353214yes—
1543C2—44no—
1544C2—42no—
1545C2—82no—
1546C2—81no—
1547C2—82no—
1548C2—82no—
1549C2C2×#353211yescharacteristic
1550C2#6289811yescharacteristic
1551C2#6291912yes—
1552C2#6304812yes—
1553C2#6306311yescharacteristic
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. #59379C2semidirect
2. #59130C2semidirect
3. #57477C2semidirect
4. #56791C2semidirect
5. #56660C2semidirect
6. #55077C2semidirect
7. #54913C2semidirect
8. #53064C2semidirect
9. #52958C2semidirect
10. #52396C2semidirect
11. #52323C2semidirect
12. #47141C2semidirect
13. #45418C2semidirect
14. #45385C2semidirect
15. #45289C2semidirect
16. #45192C2semidirect
17. #45049C2semidirect
18. #42847C2semidirect
19. #42807C2semidirect
20. #42788C2semidirect
21. #42767C2semidirect
22. #42677C2semidirect
23. #41324C2semidirect
24. #40658C2semidirect
25. #40196C2semidirect
26. #38918C2semidirect
27. #36677C2semidirect
28. #36078C2semidirect
29. #35687C2semidirect
33. C2×D4×Q8C22semidirect
34. C2×D4×Q8C22semidirect
42. #2838C22semidirect
43. #2838C22semidirect
44. #2837C22semidirect
46. #2832C22semidirect
47. #2832C22semidirect
48. #2831C22semidirect
49. #2829C22semidirect
50. #2828C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
55. #2825C22semidirect
57. #2824C22semidirect
58. #2821C22semidirect
59. #2817C22semidirect
63. #2811C22semidirect
64. #2803C22semidirect
65. #2787C22semidirect
66. #2786C22semidirect
67. #2786C22semidirect
68. #2784C22semidirect
70. #2764C22semidirect
71. #2759C22semidirect
72. #2759C22semidirect
73. #2756C22semidirect
74. #2756C22semidirect
75. #2752C22semidirect
76. #2751C22semidirect
77. #2751C22semidirect
79. #2745C22semidirect
80. #2745C22semidirect
81. #2741C22semidirect
82. #2737C22semidirect
83. #2737C22semidirect
84. #2734C22semidirect
86. #2729C22semidirect
90. #2716C22semidirect
93. #2712C22semidirect
96. #2700C22semidirect
97. #2700C22semidirect
98. #2699C22semidirect
99. #2696C22semidirect
100. #2696C22semidirect
101. #2692C22semidirect
102. #2692C22semidirect
103. #2692C22semidirect
106. #2687C22semidirect
109. #2686C22semidirect
111. #2677C22semidirect
112. #2677C22semidirect
117. #2665C22semidirect
119. #2653C22semidirect
120. #2653C22semidirect
121. #2646C22semidirect
123. #2640C22semidirect
125. #2638C22semidirect
126. #2631C22semidirect
129. #2621C22semidirect
131. #2616C22semidirect
132. #2616C22semidirect
135. #2605C22semidirect
136. #2603C22semidirect
138. #2595C22semidirect
139. #2586C22semidirect
140. #2578C22semidirect
141. #2577C22semidirect
142. #2569C22semidirect
144. #2560C22semidirect
153. #2536C22semidirect
155. #2531C22semidirect
156. #2527C22semidirect
158. #2514C22semidirect
159. #2510C22semidirect
160. #2495C22semidirect
161. #2494C22semidirect
162. #2493C22semidirect
163. #2492C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
166. #2492C22semidirect
167. #2492C22semidirect
169. #2485C22semidirect
173. #2474C22semidirect
178. #2463C22semidirect
180. #2459C22semidirect
181. #2457C22semidirect
182. #2451C22semidirect
183. #2451C22semidirect
185. #2447C22semidirect
186. #2446C22semidirect
187. #2446C22semidirect
188. #2444C22semidirect
189. #2438C22semidirect
195. #2434C22semidirect
196. #2434C22semidirect
199. #2432C22semidirect
200. #2432C22semidirect
208. #2421C22semidirect
211. #2415C22semidirect
219. #2409C22semidirect
220. #2409C22semidirect
221. #2409C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
229. #2401C22semidirect
231. #2395C22semidirect
233. #2392C22semidirect
235. #2388C22semidirect
236. #2388C22semidirect
241. #2362C22semidirect
243. #2356C22semidirect
245. Q8×C22⋊C4C22semidirect
246. Q8×C22⋊C4C22semidirect
251. #2327C22semidirect
255. #2310C22semidirect

Maximal subgroups

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

subgroupindex
#593792
#591302
#574772
#567912
#566602
#550772
#549132
#530642
#529582
#523962
#523232
#471412
#454182
#453852
#452892
#451922
#450492
#428472
#428072
#427882
#427672
#426772
#413242
#406582
#401962
#389182
#366772
#360782
#356872