Finite Group Databasebeta

← #7697168

Subgroups — #7697168

Order 512.

6921 conjugacy classes of subgroups.

The subgroup lattice has 1605 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3524C212yesmaximal, complemented
2#59828C211yesmaximal, characteristic, complemented
3#59825C212yesmaximal, complemented
4#59072C214yesmaximal, complemented
5#59061C212yesmaximal, complemented
6#52169C212yesmaximal, complemented
7#52152C211yesmaximal, characteristic, complemented
8#45241C212yesmaximal, complemented
9#45102C212yesmaximal, complemented
10#44889C212yesmaximal, complemented
11#44762C214yesmaximal, complemented
12#44275C214yesmaximal, complemented
13#43922C214yesmaximal, complemented
14#39873C214yesmaximal, complemented
15#39454C212yesmaximal, complemented
16#39381C211yesmaximal, characteristic, complemented
17#39356C211yesmaximal, characteristic, complemented
18#38427C212yesmaximal, complemented
19#38025C212yesmaximal, complemented
20#37798C212yesmaximal, complemented
21#37730C214yesmaximal, complemented
22#36469C211yesmaximal, characteristic, complemented
23#36442C212yesmaximal, complemented
24#35997C212yesmaximal, complemented
25#35778C212yesmaximal, complemented
26#35736C212yesmaximal, complemented
27#34321C211yesmaximal, characteristic, complemented
28#34308C211yesmaximal, characteristic, complemented
29#34268C212yesmaximal, complemented
30#3524—232no—
31C2×#559C2212yes—
32C2×#559C2214yes—
33C2×#557C2212yes—
34C2×#555C2214yes—
35C2×#555C2211yescharacteristic
36C2×#553C2212yes—
37C2×#553C2214yes—
38C2×#552C2214yes—
39C2×#552C2212yes—
40C2×#550C2212yes—
41C2×#548C2212yes—
42C2×#548C2212yes—
43C2×#547C2211yescharacteristic
44C2×#542C2212yes—
45C2×#542C2214yes—
46C2×#540C2214yes—
47C2×#540C2212yes—
48C2×#536C2212yes—
49C2×#529C2214yes—
50C2×#529C2212yes—
51C2×#529C2212yes—
52C2×#529C2214yes—
53C2×#520C2212yes—
54C2×#519C2212yes—
55C2×C4×#41C2212yes—
56#2858C2211yescharacteristic
57#2854C2212yes—
58#2854C2212yes—
59#2852C2214yes—
60#2733C2212yes—
61#2732C2212yes—
62#2731C2214yes—
63#2729C2214yes—
64#2727C2212yes—
65#2727C2211yescharacteristic
66#2726C2211yescharacteristic
67#2726C2212yes—
68#2726C2212yes—
69#2725C2214yes—
70#2725C2212yes—
71#2724C2211yescharacteristic
72#2718C2214yes—
73#2718C2212yes—
74#2715C2214yes—
75#2715C2214yes—
76#2712C2214yes—
77#2710C2212yes—
78#2708C2214yes—
79#2707C2214yes—
80#2704C2214yes—
81#2703C2214yes—
82#2702C2214yes—
83#2701C2212yes—
84#2701C2214yes—
85#2698C2214yes—
86#2695C2214yes—
87#2689C2212yes—
88#2688C2214yes—
89#2683C2212yes—
90#2683C2212yes—
91#2682C2211yescharacteristic
92#2682C2212yes—
93#2682C2212yes—
94#2682C2212yes—
95#2682C2214yes—
96#2681C2214yes—
97#2676C2214yes—
98#2674C2212yes—
99#2673C2214yes—
100#2673C2214yes—
101#2671C2214yes—
102#2664C2214yes—
103#2634C2214yes—
104#2630C2214yes—
105#2625C2212yes—
106#2620C2212yes—
107#2620C2212yes—
108#2602C2214yes—
109#2601C2214yes—
110#2601C2214yes—
111#2599C2214yes—
112#2598C2214yes—
113#2592C2212yes—
114#2584C2214yes—
115#2582C2212yes—
116#2579C2214yes—
117#2566C2214yes—
118#2559C2214yes—
119#2558C2214yes—
120#2557C2214yes—
121#2554C2214yes—
122#2553C2214yes—
123#2552C2212yes—
124#2547C2211yescharacteristic
125#2546C2212yes—
126#2545C2212yes—
127#2544C2212yes—
128#2543C2214yes—
129#2543C2214yes—
130#2541C2211yescharacteristic
131#2540C2212yes—
132#2519C2214yes—
133#2506C2214yes—
134#2491C2212yes—
135#2490C2212yes—
136#2489C2212yes—
137#2478C2214yes—
138#2478C2214yes—
139#2474C2214yes—
140#2474C2214yes—
141#2470C2214yes—
142#2470C2214yes—
143#2470C2214yes—
144#2470C2214yes—
145#2464C2214yes—
146#2464C2214yes—
147#2461C2214yes—
148#2461C2214yes—
149#2461C2214yes—
150#2459C2214yes—
151#2457C2214yes—
152#2457C2214yes—
153#2456C2214yes—
154#2455C2214yes—
155#2455C2214yes—
156#2454C2212yes—
157#2453C2212yes—
158#2453C2212yes—
159#2453C2212yes—
160#2450C2214yes—
161#2449C2214yes—
162#2448C2214yes—
163#2447C2212yes—
164#2446C2214yes—
165#2445C2212yes—
166#2445C2214yes—
167#2444C2214yes—
168#2443C2214yes—
169#2443C2214yes—
170#2438C2214yes—
171#2434C2212yes—
172#2432C2212yes—
173#2431C2212yes—
174#2431C2212yes—
175#2429C2212yes—
176#2429C2212yes—
177#2428C2214yes—
178#2428C2212yes—
179#2426C2212yes—
180#2426C2214yes—
181#2425C2214yes—
182#2425C2214yes—
183#2425C2214yes—
184#2425C2214yes—
185#2422C2212yes—
186#2422C2214yes—
187#2422C2214yes—
188#2421C2214yes—
189#2419C2214yes—
190#2417C2212yes—
191#2416C2212yes—
192#2413C2214yes—
193#2413C2214yes—
194#2409C2212yes—
195#2407C2212yes—
196#2396C2212yes—
197#2396C2214yes—
198#2395C2212yes—
199#2392C2214yes—
200#2392C2212yes—
201#2392C2214yes—
202#2369C2211yescharacteristic
203#2367C2214yes—
204#2367C2212yes—
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2366C2211yescharacteristic
209#2365C2211yescharacteristic
210#2365C2212yes—
211#2365C2211yescharacteristic
212#2365C2212yes—
213#2365C2212yes—
214#2363C2212yes—
215#2361C2212yes—
216#2361C2212yes—
217#2361C2212yes—
218#2360C2212yes—
219#2360C2212yes—
220#2359C2214yes—
221#2359C2214yes—
222#2359C2214yes—
223#2359C2214yes—
224#2359C2214yes—
225#2354C2211yescharacteristic
226Q8×C4⋊C4C2212yes—
227#2349C2214yes—
228D4×C4⋊C4C2211yescharacteristic
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2211yescharacteristic
231#2347C2212yes—
232#2347C2212yes—
233#2344C2212yes—
234#2339C2212yes—
235#2337C2214yes—
236#2324C2212yes—
237#2323C2212yes—
238#2323C2214yes—
239#2323C2214yes—
240#2322C2214yes—
241#2311C2212yes—
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×C22⋊Q8C2214yes—
246C4×C22⋊Q8C2214yes—
247C4×#123C2212yes—
248C4×#121C2212yes—
249C4×#121C2212yes—
250C4×#121C2214yes—
251C4×#121C2212yes—
252#2296C2212yes—
253#2296C2212yes—
254C2×#391C2212yes—
255#2293C2211yescharacteristic
256#2293C2211yescharacteristic
257C2×#389C2212yes—
258#2274C2212yes—
259C42×D4C2211yescharacteristic
260C22×#41C2312yes—
261C22×#41C2312yes—
262C23×Q8C2312yes—
263#559—232no—
264#559—216no—
265#557—216no—
266#555—232no—
267#555D4116yescomplemented
268#553—232no—
269#553—216no—
270#552—232no—
271#552—216no—
272#550—216no—
273#548—216no—
274#548—216no—
275#547—28no—
276#542—216no—
277#542—232no—
278#540—216no—
279#540—232no—
280#536—216no—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2314yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2311yescharacteristic
287C2×#127C2314yes—
288C2×#127C2312yes—
289C2×#127C2311yescharacteristic
290#529—232no—
291#529—216no—
292#529—216no—
293#529—232no—
294C2×#126C2314yes—
295C2×#126C2312yes—
296C2×#126C2314yes—
297C2×#126C2312yes—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#125C2314yes—
301C2×#125C2312yes—
302C2×#125C2314yes—
303C2×#125C2312yes—
304C2×#125C2312yes—
305C2×#125C2314yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2312yes—
309C2×#124C2312yes—
310C2×#124C2314yes—
311C2×#124C2312yes—
312C2×#124C2314yes—
313C2×#124C2314yes—
314C2×#124C2314yes—
315C2×#124C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360#520—216no—
361#519—216no—
362C4×#41—216no—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×Q8C2314yes—
367C2×C4×Q8C2314yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2314yes—
404C2×#117C2314yes—
405C2×#117C2314yes—
406C2×#117C2314yes—
407C2×#117C2314yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C22×C4⋊C4C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C42C2314yes—
417C22×C42C2312yes—
418C22×C42C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#399C2314yes—
427#399C2312yes—
428#399C2312yes—
429#399C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2312yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#388C2312yes—
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#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2314yes—
679#383C2314yes—
680#382C2314yes—
681#381C2314yes—
682#381C2314yes—
683#381C2312yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C2×#95C2314yes—
735C2×#95C2314yes—
736C2×#95C2314yes—
737C43C2311yescharacteristic
738C2×#41—28no—
739C2×#41—28no—
740C2×#41—28no—
741C2×#41—28no—
742C2×#41—44no—
743C2×#41—44no—
744C22×Q8—28no—
745C22×Q8—28no—
746C22×Q8—44no—
747C22×Q8C2412yes—
748C22×Q8C2414yes—
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×Q8C2412yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2411yescharacteristic
756C22×D4C2411yescharacteristic
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2411yescharacteristic
767C22×D4C2414yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2412yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C23×C4C2412yes—
783C4⋊Q8—216no—
784C4⋊Q8—28no—
785C4⋊Q8—42no—
786C4⋊Q8—42no—
787C4⋊Q8C2×D418yes—
788C4⋊Q8#4118yes—
789#127—216no—
790#127—28no—
791#127—42no—
792#126—28no—
793#126—216no—
794#126—28no—
795#126—216no—
796#126—216no—
797#126—216no—
798#125—28no—
799#125—216no—
800#125—28no—
801#125—216no—
802#125—28no—
803#125—216no—
804#124—216no—
805#124—28no—
806#124—28no—
807#124—216no—
808#124—28no—
809#124—216no—
810#124—216no—
811#124—28no—
812#124—28no—
813#124C2×D4132yes—
814#123—216no—
815#123—28no—
816#123—216no—
817#123—216no—
818#123—216no—
819#123—216no—
820#123—216no—
821#123—216no—
822#123—216no—
823#123—216no—
824#123—28no—
825#123—216no—
826#123—216no—
827#123—44no—
828#123—84no—
829#123—84no—
830C22⋊Q8—216no—
831C22⋊Q8—28no—
832C22⋊Q8—28no—
833C22⋊Q8—216no—
834C22⋊Q8—28no—
835C22⋊Q8—216no—
836C22⋊Q8—216no—
837C22⋊Q8—28no—
838C22⋊Q8—216no—
839C22⋊Q8—44no—
840#121—216no—
841#121—28no—
842#121—216no—
843#121—216no—
844#121—216no—
845#121—216no—
846#121—28no—
847#121—28no—
848#121—28no—
849#121—216no—
850#121—216no—
851#121—48no—
852#121—44no—
853#121—44no—
854#121—84no—
855#121—82no—
856#121C2×D4116yes—
857#121C2×D4116yes—
858C4×Q8—216no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—216no—
865C4×Q8—216no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—44no—
869C4×D4—28no—
870C4×D4—216no—
871C4×D4—216no—
872C4×D4—216no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—216no—
876C4×D4—28no—
877C4×D4—28no—
878C4×D4—216no—
879C4×D4—216no—
880C4×D4—216no—
881C4×D4—216no—
882C4×D4—216no—
883C4×D4—216no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—42no—
887C4×D4—48no—
888C4×D4—82no—
889C4×D4—82no—
890C4×D4—82no—
891C4×D4—84no—
892C4×D4C2×D418yes—
893C4×D4C2×D418yes—
894#117—28no—
895#117—216no—
896#117—216no—
897#117—216no—
898#117—216no—
899#117—216no—
900#117—28no—
901#117—216no—
902#117—28no—
903#117—82no—
904#117C2×D4116yes—
905#117C2×D4116yes—
906C2×C4⋊C4—216no—
907C2×C4⋊C4—28no—
908C2×C4⋊C4—28no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4—82no—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C42—28no—
1032C2×C42—216no—
1033C2×C42—82no—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107C24C2514yes—
1108C24C2512yes—
1109C24C2512yes—
1110C24C2512yes—
1111#41—432no—
1112#41—432no—
1113C2×Q8—24no—
1114C2×Q8—28no—
1115C2×Q8—24no—
1116C2×Q8—24no—
1117C2×Q8—28no—
1118C2×Q8—24no—
1119C2×Q8—24no—
1120C2×Q8—24no—
1121C2×Q8—42no—
1122C2×Q8—44no—
1123C2×Q8—42no—
1124C2×Q8—42no—
1125C2×Q8—42no—
1126C2×Q8—432no—
1127C2×Q8C22×D418yes—
1128C2×Q8C2×#4118yes—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—24no—
1135C2×D4—28no—
1136C2×D4—24no—
1137C2×D4—28no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—24no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—44no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—42no—
1170C2×D4—44no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4C22×D414yes—
1175C2×D4C22×D4116yes—
1176C2×D4C22×D414yes—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—28no—
1180C22×C4—28no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—28no—
1184C22×C4—28no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—28no—
1188C22×C4—24no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—24no—
1192C22×C4—28no—
1193C22×C4—28no—
1194C22×C4—28no—
1195C22×C4—24no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4C22×D418yes—
1221C22×C4C22×D418yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2514yes—
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2514yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—22no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—44no—
1283C4⋊C4—41no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—41no—
1294C4⋊C4—42no—
1295C4⋊C4—41no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—41no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4C22×D414yes—
1307C4⋊C4C22×D414yes—
1308C4⋊C4C22×D418yes—
1309C4⋊C4C22×D418yes—
1310C4⋊C4C2×#4118yes—
1311C4⋊C4C2×#4118yes—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4C22×D4116yes—
1364C22⋊C4C22×D418yes—
1365C22⋊C4C22×D4116yes—
1366C22⋊C4C22×D418yes—
1367C42—24no—
1368C42—24no—
1369C42—28no—
1370C42—24no—
1371C42—28no—
1372C42—24no—
1373C42—28no—
1374C42—28no—
1375C42—28no—
1376C42—28no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—22no—
1381C42—41no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—41no—
1386C42—41no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42C22×D4116yes—
1391C42C22×D414yes—
1392C42C2×#4114yes—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—24no—
1406C23—22no—
1407C23—24no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—24no—
1412C23—24no—
1413C23—24no—
1414C23—22no—
1415C23—22no—
1416C23—24no—
1417C23—24no—
1418C23—22no—
1419C23C23×D414yes—
1420C23C23×D414yes—
1421C23C2611yescharacteristic
1422Q8—216no—
1423Q8—48no—
1424Q8—416no—
1425Q8—48no—
1426Q8—84no—
1427D4—28no—
1428D4—416no—
1429D4—44no—
1430D4—416no—
1431D4—416no—
1432D4—44no—
1433D4—48no—
1434D4—88no—
1435D4—84no—
1436D4—84no—
1437D4—88no—
1438D4—88no—
1439D4—88no—
1440D4—84no—
1441D4—88no—
1442D4—162no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—216no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—48no—
1508C2×C4—416no—
1509C2×C4—416no—
1510C2×C4—416no—
1511C2×C4—48no—
1512C2×C4—48no—
1513C2×C4—88no—
1514C2×C4—88no—
1515C2×C4—88no—
1516C2×C4—84no—
1517C2×C4—84no—
1518C2×C4—84no—
1519C2×C4—88no—
1520C2×C4—164no—
1521C2×C4C23×D414yes—
1522C2×C4C23×D412yes—
1523C2×C4C23×D418yes—
1524C2×C4C23×D414yes—
1525C2×C4C23×D412yes—
1526C2×C4C23×D412yes—
1527C2×C4C22×#4112yes—
1528C2×C4C22×#4112yes—
1529C2×C4C22×#4118yes—
1530C2×C4C22×#4112yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C22—24no—
1534C22—24no—
1535C22—24no—
1536C22—24no—
1537C22—24no—
1538C22—24no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—44no—
1548C22—42no—
1549C22—44no—
1550C22—42no—
1551C22—44no—
1552C22—42no—
1553C22—42no—
1554C22—44no—
1555C22—42no—
1556C22—44no—
1557C22—44no—
1558C22—42no—
1559C22—44no—
1560C22—42no—
1561C22C24×D411yescharacteristic
1562C22C23×#4111yescharacteristic
1563C22C2×#58511yescharacteristic
1564C22C2×#58511yescharacteristic
1565C22H(7,𝔽2)11yescharacteristic
1566C222−1+611yescharacteristic
1567C222−1+611yescharacteristic
1568C4—28no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—24no—
1574C4—24no—
1575C4—28no—
1576C4—22no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—41no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—44no—
1587C4—42no—
1588C4—42no—
1589C4—44no—
1590C4—42no—
1591C4—44no—
1592C4D4×#4114yes—
1593C2—44no—
1594C2—44no—
1595C2—84no—
1596C2—82no—
1597C2C2×D4×#4111yescharacteristic
1598C2#6285111yescharacteristic
1599C2#6285311yescharacteristic
1600C2#6296511yescharacteristic
1601C2#6298811yescharacteristic
1602C2#6300711yescharacteristic
1603C2#6306211yescharacteristic
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. C2×#3524C2semidirect
2. #59828C2semidirect
3. #59825C2semidirect
4. #59072C2semidirect
5. #59061C2semidirect
6. #52169C2semidirect
7. #52152C2semidirect
8. #45241C2semidirect
9. #45102C2semidirect
10. #44889C2semidirect
11. #44762C2semidirect
12. #44275C2semidirect
13. #43922C2semidirect
14. #39873C2semidirect
15. #39454C2semidirect
16. #39381C2semidirect
17. #39356C2semidirect
18. #38427C2semidirect
19. #38025C2semidirect
20. #37798C2semidirect
21. #37730C2semidirect
22. #36469C2semidirect
23. #36442C2semidirect
24. #35997C2semidirect
25. #35778C2semidirect
26. #35736C2semidirect
27. #34321C2semidirect
28. #34308C2semidirect
29. #34268C2semidirect
267. #555D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35242
#598282
#598252
#590722
#590612
#521692
#521522
#452412
#451022
#448892
#447622
#442752
#439222
#398732
#394542
#393812
#393562
#384272
#380252
#377982
#377302
#364692
#364422
#359972
#357782
#357362
#343212
#343082
#342682