Finite Group Databasebeta

← #8096698

Subgroups — #8096698

Order 512.

5376 conjugacy classes of subgroups.

The subgroup lattice has 1575 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53082C212yesmaximal, complemented
2#53015C211yesmaximal, characteristic, complemented
3#52988C211yesmaximal, characteristic, complemented
4#52957C212yesmaximal, complemented
5#52673C212yesmaximal, complemented
6#52477C214yesmaximal, complemented
7#52407C212yesmaximal, complemented
8#52327C214yesmaximal, complemented
9#52299C211yesmaximal, characteristic, complemented
10#52096C212yesmaximal, complemented
11#46224C214yesmaximal, complemented
12#46106C214yesmaximal, complemented
13#45847C214yesmaximal, complemented
14#45676C212yesmaximal, complemented
15#45655C212yesmaximal, complemented
16#45609C212yesmaximal, complemented
17#45502C211yesmaximal, characteristic, complemented
18#45491C212yesmaximal, complemented
19#45486C212yesmaximal, complemented
20#45451C214yesmaximal, complemented
21#36551C212yesmaximal, complemented
22#36529C211yesmaximal, characteristic, complemented
23#36257C212yesmaximal, complemented
24#36126C212yesmaximal, complemented
25#36100C212yesmaximal, complemented
26#35923C211yesmaximal, characteristic, complemented
27#35916C212yesmaximal, complemented
28#35689C211yesmaximal, characteristic, complemented
29#35682C212yesmaximal, complemented
30C2×#562C2214yescomplemented
31C2×#553C2211yescharacteristic
32C2×#547C2212yes—
33C2×#547C2211yescharacteristic, complemented
34C2×#532C2214yescomplemented
35C2×#525C2214yes—
36C2×#520C2211yescharacteristic, complemented
37C22×C4×D4C2211yescharacteristic
38#2857C2212yes—
39#2857C2212yescomplemented
40#2856C2212yes—
41#2854C2211yescharacteristic
42#2854C2212yes—
43#2854C2214yescomplemented
44#2851C2214yescomplemented
45#2850C2214yescomplemented
46#2848C2214yes—
47#2847C2212yes—
48#2842C2212yes—
49#2841C2212yes—
50#2840C2212yes—
51#2838C2214yescomplemented
52#2837C2214yescomplemented
53#2837C2214yescomplemented
54#2832C2214yescomplemented
55#2828C2214yes—
56#2828C2214yescomplemented
57#2826C2214yes—
58#2826C2212yes—
59#2824C2214yescomplemented
60#2820C2214yescomplemented
61#2819C2212yes—
62#2819C2214yes—
63#2816C2214yescomplemented
64#2814C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2803C2214yes—
68#2801C2212yescomplemented
69#2788C2214yescomplemented
70#2785C2212yes—
71#2784C2214yescomplemented
72#2783C2214yescomplemented
73#2774C2214yescomplemented
74#2773C2214yescomplemented
75#2760C2211yescharacteristic
76#2752C2211yescharacteristic
77#2752C2212yescomplemented
78#2742C2211yescharacteristic
79#2742C2212yescomplemented
80#2741C2214yescomplemented
81#2730C2214yescomplemented
82#2729C2214yescomplemented
83#2729C2214yescomplemented
84#2710C2214yescomplemented
85#2706C2214yes—
86#2703C2214yes—
87#2703C2212yes—
88#2703C2212yes—
89#2703C2212yescomplemented
90#2696C2214yes—
91#2694C2214yescomplemented
92#2692C2214yes—
93#2692C2214yescomplemented
94#2690C2214yescomplemented
95#2683C2212yes—
96#2681C2214yescomplemented
97#2681C2214yescomplemented
98#2681C2214yescomplemented
99#2678C2214yes—
100#2678C2214yes—
101#2677C2212yes—
102#2676C2214yes—
103#2675C2211yescharacteristic
104#2675C2212yes—
105#2675C2214yescomplemented
106#2674C2214yescomplemented
107#2673C2214yes—
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2672C2214yescomplemented
111#2672C2214yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2670C2214yes—
115#2670C2212yes—
116#2669C2214yes—
117#2668C2214yes—
118#2668C2212yes—
119#2663C2212yescomplemented
120#2660C2211yescharacteristic, complemented
121#2653C2214yescomplemented
122#2644C2212yes—
123#2636C2212yescomplemented
124#2630C2214yescomplemented
125#2615C2212yes—
126#2615C2211yescharacteristic, complemented
127#2604C2212yescomplemented
128#2602C2214yescomplemented
129#2595C2214yescomplemented
130#2593C2214yescomplemented
131#2589C2214yes—
132#2589C2214yescomplemented
133#2580C2212yes—
134#2574C2214yescomplemented
135#2564C2212yes—
136#2563C2212yes—
137#2563C2211yescharacteristic
138#2562C2211yescharacteristic, complemented
139#2557C2214yescomplemented
140#2553C2214yescomplemented
141#2552C2212yescomplemented
142#2551C2212yescomplemented
143#2542C2212yes—
144#2541C2212yes—
145#2539C2212yes—
146#2537C2212yes—
147#2537C2212yescomplemented
148#2535C2212yes—
149#2534C2212yes—
150#2529C2214yescomplemented
151#2513C2212yes—
152#2509C2214yescomplemented
153#2508C2212yescomplemented
154#2507C2212yescomplemented
155#2501C2211yescharacteristic, complemented
156#2500C2212yes—
157#2497C2212yes—
158#2497C2212yescomplemented
159#2497C2212yescomplemented
160#2491C2212yes—
161#2491C2212yes—
162#2491C2212yes—
163#2491C2212yescomplemented
164#2488C2214yescomplemented
165#2487C2212yes—
166#2487C2211yescharacteristic
167#2487C2212yescomplemented
168#2485C2212yescomplemented
169#2474C2214yescomplemented
170#2470C2214yescomplemented
171#2467C2214yes—
172#2465C2214yescomplemented
173#2464C2214yes—
174#2463C2214yescomplemented
175#2461C2214yescomplemented
176#2461C2214yescomplemented
177#2458C2214yescomplemented
178#2456C2214yes—
179#2456C2214yes—
180#2456C2214yescomplemented
181#2455C2214yes—
182#2455C2214yes—
183#2455C2214yescomplemented
184#2454C2212yes—
185#2454C2214yes—
186#2452C2214yescomplemented
187#2452C2212yescomplemented
188#2450C2214yes—
189#2450C2214yescomplemented
190#2450C2214yescomplemented
191#2445C2212yes—
192#2445C2214yescomplemented
193#2441C2212yescomplemented
194#2440C2212yescomplemented
195#2440C2212yescomplemented
196#2439C2212yescomplemented
197#2433C2211yescharacteristic
198#2430C2214yescomplemented
199#2430C2214yescomplemented
200#2430C2212yescomplemented
201#2428C2212yes—
202#2428C2212yes—
203#2427C2214yescomplemented
204#2425C2214yescomplemented
205#2425C2214yescomplemented
206#2422C2212yes—
207#2422C2212yes—
208#2422C2212yescomplemented
209#2418C2214yes—
210#2418C2214yes—
211#2416C2212yes—
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yescomplemented
215#2415C2214yes—
216#2414C2212yes—
217#2414C2212yes—
218#2408C2212yes—
219#2408C2212yes—
220#2408C2211yescharacteristic
221#2407C2214yes—
222#2407C2214yescomplemented
223#2401C2212yescomplemented
224#2397C2211yescharacteristic
225#2397C2212yes—
226#2392C2214yescomplemented
227#2388C2211yescharacteristic
228#2388C2212yes—
229#2388C2212yescomplemented
230#2388C2214yescomplemented
231#2379C2214yescomplemented
232#2376C2212yes—
233#2376C2214yescomplemented
234#2375C2214yes—
235#2369C2212yescomplemented
236#2366C2212yes—
237#2363C2212yes—
238#2361C2212yes—
239#2361C2212yes—
240#2361C2212yescomplemented
241#2354C2212yes—
242#2352C2212yescomplemented
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2212yescomplemented
246#2346C2211yescharacteristic, complemented
247#2345C2211yescharacteristic
248#2345C2212yescomplemented
249C4×#123C2211yescharacteristic
250C4×#123C2212yescomplemented
251C4×#121C2212yes—
252C4×#121C2214yes—
253C4×#121C2212yes—
254C4×#121C2212yescomplemented
255C4×#120C2212yes—
256#2290C2214yescomplemented
257#2275C2211yescharacteristic, complemented
258C2×C4×C4⋊C4C2212yescomplemented
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C22×#41C2314yes—
262C23×D4C2311yescharacteristic
263C24×C4C2312yes—
264#562—416no—
265#553—44no—
266#547—48no—
267#547—44no—
268#532—416no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2314yes—
273C2×#127C2312yes—
274C2×#127C2314yes—
275C2×#126C2312yes—
276C2×#125C2311yescharacteristic
277C2×#125C2314yes—
278C2×#124C2314yes—
279C2×#124C2314yes—
280C2×#124C2314yes—
281C2×#124C2314yes—
282#525—416no—
283C2×#123C2311yescharacteristic
284C2×#123C2314yes—
285C2×#123C2312yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2312yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2311yescharacteristic
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2311yescharacteristic
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#120C2312yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2312yes—
332C2×#120C2312yes—
333#520—44no—
334C2×C4×Q8C2312yes—
335C2×C4×D4—44no—
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2314yes—
360C2×#117C2312yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C22⋊C4C2312yes—
367C22×C42C2314yes—
368C22×C42C2312yes—
369C22×C42C2311yescharacteristic
370#401C2312yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2312yes—
381#400C2312yes—
382#399C2312yes—
383#399C2314yes—
384#399C2311yescharacteristic
385#399C2314yes—
386#399C2314yes—
387#399C2311yescharacteristic
388#399C2312yes—
389#399C2312yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#397C2312yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2312yes—
413#397C2314yes—
414#397C2312yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2312yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#395C2312yes—
429#395C2314yes—
430#395C2314yes—
431#395C2312yes—
432#395C2311yescharacteristic
433#395C2314yes—
434#395C2312yes—
435#395C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2312yes—
443#394C2311yescharacteristic
444#394C2312yes—
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2312yes—
473#393C2312yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2312yes—
478#393C2312yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2311yescharacteristic
483#392C2312yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2312yes—
496#392C2311yescharacteristic
497#392C2311yescharacteristic
498#392C2314yes—
499#392C2312yes—
500#392C2312yes—
501#392C2312yes—
502#392C2314yes—
503#392C2312yes—
504#392C2312yes—
505#392C2314yes—
506#392C2311yescharacteristic
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#387C2314yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2311yescharacteristic
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2312yes—
633#386C2312yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2311yescharacteristic
655#384C2312yes—
656#384C2312yes—
657#384C2312yes—
658#384C2312yes—
659#382C2314yes—
660#382C2312yes—
661#382C2314yes—
662#382C2312yes—
663#382C2312yes—
664#381C2312yes—
665#381C2311yescharacteristic
666#380C2312yes—
667#380C2312yes—
668#380C2311yescharacteristic
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2312yes—
677#380C2314yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2314yes—
682#380C2312yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2311yescharacteristic
687#380C2312yes—
688#379C2312yes—
689#379C2314yes—
690#379C2314yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2311yescharacteristic
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2311yescharacteristic
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716#376C2312yes—
717#376C2311yescharacteristic
718C2×#95C2312yes—
719C2×#95C2314yes—
720C25C2412yes—
721C2×#41—42no—
722C2×#41—44no—
723C2×#41—44no—
724C2×#41—48no—
725C2×#41—48no—
726C2×#41—48no—
727C2×#41—48no—
728C22×Q8C2414yes—
729C22×Q8C2411yescharacteristic
730C22×Q8C2414yes—
731C22×Q8C2412yes—
732C22×D4—42no—
733C22×D4—44no—
734C22×D4C2411yescharacteristic
735C22×D4C2412yes—
736C22×D4C2412yes—
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2411yescharacteristic
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2411yescharacteristic
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2411yescharacteristic
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C23×C4—44no—
758C23×C4—48no—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2414yes—
764C23×C4C2414yes—
765C23×C4C2412yes—
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2412yes—
771C23×C4C2414yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C4⋊Q8—44no—
777C4⋊Q8—44no—
778C4⋊Q8—42no—
779C4⋊Q8—48no—
780#127—44no—
781#127—48no—
782#126—44no—
783#125—42no—
784#125—48no—
785#124—216no—
786#124—48no—
787#124—48no—
788#124—84no—
789#123—216no—
790#123—28no—
791#123—24no—
792#123—48no—
793#123—48no—
794#123—48no—
795#123—48no—
796#123—48no—
797#123—48no—
798#123—44no—
799#123—84no—
800#123—82no—
801#123—84no—
802C22⋊Q8—48no—
803C22⋊Q8—48no—
804C22⋊Q8—48no—
805C22⋊Q8—48no—
806C22⋊Q8—48no—
807C22⋊Q8—48no—
808C22⋊Q8—44no—
809C22⋊Q8—48no—
810C22⋊Q8—84no—
811#121—28no—
812#121—28no—
813#121—28no—
814#121—48no—
815#121—44no—
816#121—48no—
817#121—48no—
818#121—48no—
819#121—48no—
820#121—48no—
821#121—48no—
822#121—44no—
823#121—44no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—44no—
828#121—44no—
829#121—42no—
830#121—42no—
831#121—48no—
832#121—84no—
833#121—84no—
834#120—28no—
835#120—48no—
836#120—48no—
837#120—82no—
838#120—82no—
839C4×Q8—44no—
840C4×D4—28no—
841C4×D4—24no—
842C4×D4—216no—
843C4×D4—48no—
844C4×D4—44no—
845C4×D4—44no—
846C4×D4—48no—
847C4×D4—44no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—42no—
854C4×D4—44no—
855C4×D4—42no—
856C4×D4—48no—
857C4×D4—48no—
858C4×D4—48no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—48no—
862#117—24no—
863#117—48no—
864#117—44no—
865C2×C4⋊C4—24no—
866C2×C4⋊C4—28no—
867C2×C4⋊C4—28no—
868C2×C4⋊C4—44no—
869C2×C4⋊C4—42no—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C22⋊C4—44no—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2411yescharacteristic
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C42—42no—
989C2×C42—48no—
990C2×C42—44no—
991C2×C42C2414yes—
992C2×C42C2412yes—
993C2×C42C2411yescharacteristic
994C2×C42C2412yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007#95C2411yescharacteristic
1008#95C2414yes—
1009#95C2412yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2411yescharacteristic
1015#95C2411yescharacteristic
1016#95C2412yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2411yescharacteristic
1031#95C2412yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058C24—24no—
1059C24—42no—
1060C24—44no—
1061C24—44no—
1062C24—42no—
1063C24C2514yes—
1064C24C2511yescharacteristic
1065C24C2512yes—
1066C24C2512yes—
1067C24C2512yes—
1068C24C2511yescharacteristic
1069#41—416no—
1070#41—832no—
1071#41—816no—
1072C2×Q8—28no—
1073C2×Q8—41no—
1074C2×Q8—42no—
1075C2×Q8—44no—
1076C2×Q8—44no—
1077C2×Q8—42no—
1078C2×Q8—44no—
1079C2×Q8—44no—
1080C2×Q8—44no—
1081C2×Q8—44no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—24no—
1087C2×D4—24no—
1088C2×D4—28no—
1089C2×D4—28no—
1090C2×D4—24no—
1091C2×D4—28no—
1092C2×D4—24no—
1093C2×D4—22no—
1094C2×D4—24no—
1095C2×D4—22no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—28no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—42no—
1104C2×D4—41no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—41no—
1111C2×D4—44no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—44no—
1116C2×D4—42no—
1117C2×D4—41no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—41no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—416no—
1147C22×C4—28no—
1148C22×C4—24no—
1149C22×C4—22no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—28no—
1155C22×C4—22no—
1156C22×C4—28no—
1157C22×C4—28no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—28no—
1168C22×C4—24no—
1169C22×C4—28no—
1170C22×C4—41no—
1171C22×C4—42no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—41no—
1175C22×C4—44no—
1176C22×C4—42no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—41no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—816no—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2514yes—
1202C22×C4C2514yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—28no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—44no—
1236C4⋊C4—42no—
1237C4⋊C4—44no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—41no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—41no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4H(5,𝔽2)14yes—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—24no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—28no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—41no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4H(5,𝔽2)18yes—
1332C22⋊C42−1+414yes—
1333C42—28no—
1334C42—24no—
1335C42—28no—
1336C42—24no—
1337C42—22no—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—42no—
1342C42—42no—
1343C42—44no—
1344C42—42no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—42no—
1349C23—22no—
1350C23—22no—
1351C23—21no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—21no—
1359C23—22no—
1360C23—21no—
1361C23—24no—
1362C23—22no—
1363C23—24no—
1364C23—24no—
1365C23—24no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—21no—
1370C23—22no—
1371C23—24no—
1372C23—22no—
1373C23—24no—
1374C23—24no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—24no—
1379C23—22no—
1380C23—24no—
1381C23—22no—
1382C23—21no—
1383C23—48no—
1384C23—88no—
1385C23—84no—
1386C23—84no—
1387C23—88no—
1388C23C2×H(5,𝔽2)14yes—
1389C23C2×2−1+412yes—
1390C23C2611yescharacteristic
1391Q8—44no—
1392Q8—88no—
1393Q8—84no—
1394Q8—164no—
1395D4—48no—
1396D4—48no—
1397D4—48no—
1398D4—48no—
1399D4—44no—
1400D4—48no—
1401D4—44no—
1402D4—48no—
1403D4—44no—
1404D4—48no—
1405D4—88no—
1406D4—84no—
1407D4—82no—
1408D4—88no—
1409D4—84no—
1410D4—88no—
1411D4—88no—
1412D4—88no—
1413D4—88no—
1414D4—88no—
1415D4—162no—
1416D4—164no—
1417D4—164no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—48no—
1476C2×C4—44no—
1477C2×C4—416no—
1478C2×C4—416no—
1479C2×C4—48no—
1480C2×C4—44no—
1481C2×C4—48no—
1482C2×C4—44no—
1483C2×C4—84no—
1484C2×C4—88no—
1485C2×C4—84no—
1486C2×C4—88no—
1487C2×C4—82no—
1488C2×C4—84no—
1489C2×C4—88no—
1490C2×C4—162no—
1491C2×C4—164no—
1492C2×C4C2×H(5,𝔽2)14yes—
1493C2×C4C2×H(5,𝔽2)14yes—
1494C2×C4C2×H(5,𝔽2)14yes—
1495C2×C4C2×H(5,𝔽2)12yes—
1496C2×C4C2×2−1+414yes—
1497C2×C4#58514yes—
1498C22—24no—
1499C22—24no—
1500C22—24no—
1501C22—22no—
1502C22—24no—
1503C22—41no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—41no—
1510C22—44no—
1511C22—42no—
1512C22—42no—
1513C22—41no—
1514C22—42no—
1515C22—42no—
1516C22—44no—
1517C22—44no—
1518C22—42no—
1519C22—44no—
1520C22—41no—
1521C22—42no—
1522C22—42no—
1523C22—44no—
1524C22—44no—
1525C22—42no—
1526C22—42no—
1527C22—44no—
1528C22—42no—
1529C22—44no—
1530C22—41no—
1531C22—42no—
1532C22—44no—
1533C22—42no—
1534C22—816no—
1535C22C22×H(5,𝔽2)12yes—
1536C22C22×H(5,𝔽2)11yescharacteristic
1537C22C22×2−1+411yescharacteristic
1538C22C2×#58512yes—
1539C22H(7,𝔽2)11yescharacteristic
1540C4—24no—
1541C4—24no—
1542C4—24no—
1543C4—24no—
1544C4—44no—
1545C4—42no—
1546C4—41no—
1547C4—44no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—41no—
1552C4—44no—
1553C4—42no—
1554C4—44no—
1555C4—42no—
1556C4—42no—
1557C4—44no—
1558C4—42no—
1559C4—41no—
1560C4—41no—
1561C4—42no—
1562C4#352914yes—
1563C2—44no—
1564C2—42no—
1565C2—82no—
1566C2—82no—
1567C2—81no—
1568C2—84no—
1569C2C2×#352911yescharacteristic
1570C2#6291711yescharacteristic
1571C2#6293012yes—
1572C2#6301111yescharacteristic
1573C2#6301312yes—
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. #53082C2semidirect
2. #53015C2semidirect
3. #52988C2semidirect
4. #52957C2semidirect
5. #52673C2semidirect
6. #52477C2semidirect
7. #52407C2semidirect
8. #52327C2semidirect
9. #52299C2semidirect
10. #52096C2semidirect
11. #46224C2semidirect
12. #46106C2semidirect
13. #45847C2semidirect
14. #45676C2semidirect
15. #45655C2semidirect
16. #45609C2semidirect
17. #45502C2semidirect
18. #45491C2semidirect
19. #45486C2semidirect
20. #45451C2semidirect
21. #36551C2semidirect
22. #36529C2semidirect
23. #36257C2semidirect
24. #36126C2semidirect
25. #36100C2semidirect
26. #35923C2semidirect
27. #35916C2semidirect
28. #35689C2semidirect
29. #35682C2semidirect
30. C2×#562C22semidirect
33. C2×#547C22semidirect
34. C2×#532C22semidirect
36. C2×#520C22semidirect
39. #2857C22semidirect
43. #2854C22semidirect
44. #2851C22semidirect
45. #2850C22semidirect
51. #2838C22semidirect
52. #2837C22semidirect
53. #2837C22semidirect
54. #2832C22semidirect
56. #2828C22semidirect
59. #2824C22semidirect
60. #2820C22semidirect
63. #2816C22semidirect
64. #2814C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
68. #2801C22semidirect
69. #2788C22semidirect
71. #2784C22semidirect
72. #2783C22semidirect
73. #2774C22semidirect
74. #2773C22semidirect
77. #2752C22semidirect
79. #2742C22semidirect
80. #2741C22semidirect
81. #2730C22semidirect
82. #2729C22semidirect
83. #2729C22semidirect
84. #2710C22semidirect
89. #2703C22semidirect
91. #2694C22semidirect
93. #2692C22semidirect
94. #2690C22semidirect
96. #2681C22semidirect
97. #2681C22semidirect
98. #2681C22semidirect
105. #2675C22semidirect
106. #2674C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2672C22semidirect
111. #2672C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
119. #2663C22semidirect
120. #2660C22semidirect
121. #2653C22semidirect
123. #2636C22semidirect
124. #2630C22semidirect
126. #2615C22semidirect
127. #2604C22semidirect
128. #2602C22semidirect
129. #2595C22semidirect
130. #2593C22semidirect
132. #2589C22semidirect
134. #2574C22semidirect
138. #2562C22semidirect
139. #2557C22semidirect
140. #2553C22semidirect
141. #2552C22semidirect
142. #2551C22semidirect
147. #2537C22semidirect
150. #2529C22semidirect
152. #2509C22semidirect
153. #2508C22semidirect
154. #2507C22semidirect
155. #2501C22semidirect
158. #2497C22semidirect
159. #2497C22semidirect
163. #2491C22semidirect
164. #2488C22semidirect
167. #2487C22semidirect
168. #2485C22semidirect
169. #2474C22semidirect
170. #2470C22semidirect
172. #2465C22semidirect
174. #2463C22semidirect
175. #2461C22semidirect
176. #2461C22semidirect
177. #2458C22semidirect
180. #2456C22semidirect
183. #2455C22semidirect
186. #2452C22semidirect
187. #2452C22semidirect
189. #2450C22semidirect
190. #2450C22semidirect
192. #2445C22semidirect
193. #2441C22semidirect
194. #2440C22semidirect
195. #2440C22semidirect
196. #2439C22semidirect
198. #2430C22semidirect
199. #2430C22semidirect
200. #2430C22semidirect
203. #2427C22semidirect
204. #2425C22semidirect
205. #2425C22semidirect
208. #2422C22semidirect
214. #2416C22semidirect
222. #2407C22semidirect
223. #2401C22semidirect
226. #2392C22semidirect
229. #2388C22semidirect
230. #2388C22semidirect
231. #2379C22semidirect
233. #2376C22semidirect
235. #2369C22semidirect
240. #2361C22semidirect
242. #2352C22semidirect
245. D4×C4⋊C4C22semidirect
246. #2346C22semidirect
248. #2345C22semidirect
250. C4×#123C22semidirect
254. C4×#121C22semidirect
256. #2290C22semidirect
257. #2275C22semidirect
258. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#530822
#530152
#529882
#529572
#526732
#524772
#524072
#523272
#522992
#520962
#462242
#461062
#458472
#456762
#456552
#456092
#455022
#454912
#454862
#454512
#365512
#365292
#362572
#361262
#361002
#359232
#359162
#356892
#356822