Finite Group Databasebeta

← #7727014

Subgroups — #7727014

Order 512.

6566 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3554C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#49570C214yesmaximal, complemented
4#47857C214yesmaximal, complemented
5#47218C212yesmaximal, complemented
6#47213C212yesmaximal, complemented
7#46818C212yesmaximal, complemented
8#46817C212yesmaximal, complemented
9#45324C212yesmaximal, complemented
10#45249C212yesmaximal, complemented
11#45100C212yesmaximal, complemented
12#44895C212yesmaximal, complemented
13#39884C212yesmaximal, complemented
14#39860C212yesmaximal, complemented
15#39847C214yesmaximal, complemented
16#39418C212yesmaximal, complemented
17#39418C212yesmaximal, complemented
18#39377C212yesmaximal, complemented
19#39374C212yesmaximal, complemented
20#38363C214yesmaximal, complemented
21#37560C211yesmaximal, characteristic, complemented
22#36972C214yesmaximal, complemented
23#36432C212yesmaximal, complemented
24#36217C212yesmaximal, complemented
25#35464C214yesmaximal, complemented
26#35325C211yesmaximal, characteristic, complemented
27#35322C211yesmaximal, characteristic, complemented
28#34877C211yesmaximal, characteristic, complemented
29#34232C211yesmaximal, characteristic, complemented
30#3554—216no—
31C2×#562C2214yes—
32C2×#559C2211yescharacteristic, complemented
33C2×#559C2212yescomplemented
34C2×#557C2211yescharacteristic, complemented
35C2×#554C2212yescomplemented
36C2×#550C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2212yes—
39C2×#547C2212yes—
40#3455—216no—
41C2×#542C2212yes—
42C2×#542C2212yes—
43C2×#542C2212yes—
44C2×#542C2212yescomplemented
45C2×#541C2212yes—
46C2×#540C2212yes—
47C2×#540C2212yes—
48C2×#539C2212yes—
49C2×#539C2212yes—
50C2×#539C2214yescomplemented
51C2×#538C2212yes—
52C2×#538C2212yes—
53C2×#536C2212yescomplemented
54C2×#533C2211yescharacteristic
55C2×#533C2211yescharacteristic
56C2×#532C2211yescharacteristic
57C2×#529C2211yescharacteristic
58C2×#529C2214yes—
59C2×#529C2214yes—
60C2×#525C2212yes—
61C2×C4×#41C2212yes—
62C22×#117C2211yescharacteristic
63#2868C2211yescharacteristic, complemented
64#2862C2211yescharacteristic, complemented
65#2862C2211yescharacteristic, complemented
66#2862C2211yescharacteristic, complemented
67#2855C2211yescharacteristic
68#2855C2211yescharacteristic
69#2855C2214yescomplemented
70#2853C2214yescomplemented
71#2848C2211yescharacteristic
72#2848C2211yescharacteristic
73#2817C2212yes—
74#2816C2212yes—
75#2726C2214yescomplemented
76#2725C2214yes—
77#2724C2214yes—
78#2724C2214yescomplemented
79#2721C2214yes—
80#2719C2214yescomplemented
81#2718C2214yes—
82#2718C2214yescomplemented
83#2717C2214yes—
84#2717C2214yescomplemented
85#2716C2214yes—
86#2713C2214yescomplemented
87#2710C2214yes—
88#2710C2214yes—
89#2709C2214yescomplemented
90#2708C2214yes—
91#2706C2214yes—
92#2706C2214yes—
93#2704C2214yescomplemented
94#2702C2214yes—
95#2701C2214yes—
96#2701C2214yes—
97#2701C2214yescomplemented
98#2700C2214yes—
99#2700C2214yes—
100#2699C2214yes—
101#2698C2214yescomplemented
102#2698C2214yescomplemented
103#2697C2214yes—
104#2689C2214yescomplemented
105#2689C2214yescomplemented
106#2687C2214yescomplemented
107#2687C2214yescomplemented
108#2686C2214yes—
109#2684C2214yes—
110#2678C2214yes—
111#2674C2214yes—
112#2674C2214yescomplemented
113#2673C2214yes—
114#2668C2214yes—
115#2663C2214yes—
116#2638C2214yes—
117#2634C2212yescomplemented
118#2632C2212yescomplemented
119#2630C2214yes—
120#2628C2212yes—
121#2628C2212yescomplemented
122#2628C2212yescomplemented
123#2621C2214yes—
124#2621C2212yes—
125#2611C2212yes—
126#2611C2214yes—
127#2610C2212yes—
128#2604C2214yescomplemented
129#2602C2214yes—
130#2601C2212yes—
131#2601C2212yes—
132#2600C2214yes—
133#2599C2214yes—
134#2591C2211yescharacteristic
135#2584C2212yescomplemented
136#2583C2211yescharacteristic
137#2583C2212yes—
138#2579C2214yes—
139#2565C2212yescomplemented
140#2565C2212yescomplemented
141#2565C2212yescomplemented
142#2565C2212yescomplemented
143#2564C2214yes—
144#2562C2212yescomplemented
145#2561C2211yescharacteristic
146#2561C2212yes—
147#2560C2214yes—
148#2557C2214yes—
149#2557C2214yes—
150#2556C2214yescomplemented
151#2553C2214yescomplemented
152#2553C2214yescomplemented
153#2549C2214yescomplemented
154#2549C2214yescomplemented
155#2543C2214yes—
156#2539C2211yescharacteristic
157#2538C2212yes—
158#2537C2212yes—
159#2536C2212yes—
160#2535C2212yes—
161#2521C2214yes—
162#2521C2214yescomplemented
163#2519C2214yes—
164#2506C2214yescomplemented
165#2501C2214yes—
166#2499C2212yes—
167#2499C2212yes—
168#2499C2212yes—
169#2499C2212yes—
170#2499C2214yescomplemented
171#2498C2214yescomplemented
172#2496C2214yescomplemented
173#2491C2214yes—
174#2488C2214yes—
175#2488C2214yes—
176#2488C2214yes—
177#2488C2214yescomplemented
178#2486C2214yescomplemented
179#2485C2212yes—
180#2485C2212yes—
181#2485C2214yescomplemented
182#2484C2212yes—
183#2484C2214yescomplemented
184#2482C2212yes—
185#2469C2214yes—
186#2467C2214yes—
187#2462C2214yescomplemented
188#2460C2214yescomplemented
189#2447C2214yes—
190#2447C2214yes—
191#2447C2212yescomplemented
192#2447C2212yescomplemented
193#2446C2212yescomplemented
194#2446C2212yescomplemented
195#2444C2214yes—
196#2444C2214yes—
197#2443C2214yes—
198#2443C2214yes—
199#2440C2214yescomplemented
200#2429C2212yes—
201#2429C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2425C2214yes—
205#2425C2214yescomplemented
206#2423C2212yes—
207#2423C2212yescomplemented
208#2422C2212yes—
209#2422C2214yes—
210#2422C2212yescomplemented
211#2421C2212yes—
212#2421C2212yescomplemented
213#2420C2212yes—
214#2420C2214yes—
215#2420C2212yescomplemented
216#2419C2214yes—
217#2419C2214yes—
218#2419C2214yescomplemented
219#2419C2214yescomplemented
220#2413C2212yes—
221#2411C2212yes—
222#2409C2212yes—
223#2409C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2396C2212yes—
227#2392C2212yes—
228#2366C2212yescomplemented
229#2365C2212yescomplemented
230#2363C2214yes—
231#2353C2214yescomplemented
232#2351C2212yescomplemented
233Q8×C4⋊C4C2212yescomplemented
234#2349C2212yescomplemented
235D4×C4⋊C4C2212yescomplemented
236#2341C2212yes—
237Q8×C22⋊C4C2212yescomplemented
238Q8×C22⋊C4C2212yescomplemented
239#2339C2212yes—
240#2339C2212yescomplemented
241#2339C2212yescomplemented
242#2333C2212yes—
243#2333C2212yes—
244#2327C2214yescomplemented
245#2325C2214yes—
246#2323C2212yes—
247#2323C2212yes—
248#2322C2214yes—
249#2319C2212yescomplemented
250C4×#124C2212yescomplemented
251C4×#124C2212yescomplemented
252C4×#123C2212yes—
253C4×#123C2214yescomplemented
254C4×#120C2212yes—
255#2293C2212yes—
256#2293C2212yes—
257C2×#387C2214yescomplemented
258#2283C2211yescharacteristic
259#2275C2212yescomplemented
260C4×#117C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×Q8C2312yes—
264C24×C4C2311yescharacteristic
265#562—232no—
266#559—28no—
267#559—216no—
268#557—28no—
269#554—216no—
270#550—28no—
271D4×Q8—28no—
272#548—216no—
273#547—216no—
274#542—216no—
275#542—216no—
276#542—216no—
277#542—216no—
278#541—216no—
279#540—216no—
280#540—216no—
281#539—216no—
282#539—216no—
283#539—232no—
284#538—216no—
285#538—216no—
286#536—216no—
287#533—28no—
288#533—28no—
289#532D4116yescomplemented
290C2×C4⋊Q8C2311yescharacteristic
291C2×C4⋊Q8C2311yescharacteristic
292C2×C4⋊Q8C2311yescharacteristic
293C2×C4⋊Q8C2311yescharacteristic
294C2×C4⋊Q8C2312yes—
295C2×C4⋊Q8C2312yes—
296C2×C4⋊Q8C2314yes—
297C2×C4⋊Q8C2311yescharacteristic
298C2×#127C2312yes—
299C2×#127C2311yescharacteristic
300#529—232no—
301#529—232no—
302#529—28no—
303C2×#126C2314yes—
304C2×#126C2312yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2314yes—
313C2×#125C2314yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2314yes—
318C2×#124C2314yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324#525—216no—
325C2×#123C2314yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#120C2314yes—
371C2×#120C2312yes—
372C4×#41—216no—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×#117—28no—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2314yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2314yes—
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C42C2314yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2314yes—
438#399C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2312yes—
491#395C2314yes—
492#395C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2312yes—
519#392C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#391C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2314yes—
675#383C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2314yes—
681#382C2314yes—
682#382C2312yes—
683#381C2312yes—
684#381C2312yes—
685#381C2312yes—
686#381C2312yes—
687#381C2314yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#379C2312yes—
711#379C2312yes—
712#379C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2311yescharacteristic
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2311yescharacteristic
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737#376C2312yes—
738#376C2312yes—
739C2×#95C2314yes—
740C2×#95C2314yes—
741C2×#95C2314yes—
742C2×#95C2314yes—
743C43C2311yescharacteristic
744C43C2311yescharacteristic
745C25C2411yescharacteristic
746C2×#41—28no—
747C2×#41—44no—
748C2×#41—44no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41C2×D4116yes—
752C22×Q8—28no—
753C22×Q8—44no—
754C22×Q8—44no—
755C22×Q8C2411yescharacteristic
756C22×Q8C2411yescharacteristic
757C22×Q8C2412yes—
758C22×Q8C2411yescharacteristic
759C22×Q8C2412yes—
760C22×Q8C2412yes—
761C22×Q8C2412yes—
762C22×Q8C2414yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2414yes—
775C23×C4—24no—
776C23×C4—44no—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2414yes—
783C23×C4C2411yescharacteristic
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2411yescharacteristic
792C23×C4C2411yescharacteristic
793C23×C4C2414yes—
794C4⋊Q8—28no—
795C4⋊Q8—28no—
796C4⋊Q8—24no—
797C4⋊Q8—24no—
798C4⋊Q8—24no—
799C4⋊Q8—24no—
800C4⋊Q8—48no—
801C4⋊Q8C2×D418yes—
802#127—28no—
803#127C2×D418yes—
804#126—216no—
805#126—216no—
806#126—216no—
807#126—216no—
808#126—216no—
809#126—28no—
810#125—216no—
811#125—216no—
812#125—216no—
813#125—28no—
814#125—24no—
815#125—28no—
816#125—28no—
817#124—28no—
818#124—216no—
819#124—28no—
820#124—216no—
821#124—216no—
822#124—216no—
823#124—24no—
824#124C2×D4116yes—
825#123—216no—
826#123—216no—
827#123—216no—
828#123—216no—
829#123—216no—
830#123—28no—
831#123—216no—
832#123—216no—
833#123—216no—
834#123—216no—
835#123—216no—
836#123—216no—
837#123—44no—
838#123—48no—
839#123—48no—
840C22⋊Q8—28no—
841C22⋊Q8—28no—
842C22⋊Q8—28no—
843C22⋊Q8—24no—
844C22⋊Q8—28no—
845C22⋊Q8—28no—
846C22⋊Q8—24no—
847C22⋊Q8—24no—
848C22⋊Q8—28no—
849C22⋊Q8—216no—
850C22⋊Q8—216no—
851C22⋊Q8—216no—
852C22⋊Q8—216no—
853C22⋊Q8—216no—
854C22⋊Q8—216no—
855C22⋊Q8—216no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858#121—28no—
859#121—28no—
860#121—216no—
861#121—216no—
862#121—216no—
863#121—216no—
864#121—216no—
865#121—28no—
866#121—24no—
867#121—48no—
868#121C2×D4116yes—
869#121C2×D4116yes—
870#120—216no—
871#120—44no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—28no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×D4—216no—
885C4×D4—216no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—216no—
892C4×D4—216no—
893C4×D4—28no—
894C4×D4—216no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—48no—
902C4×D4C2×D4116yes—
903C4×D4C2×D4116yes—
904#117—28no—
905#117—216no—
906#117—28no—
907#117—28no—
908#117—28no—
909#117—28no—
910#117—28no—
911#117—28no—
912#117—44no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—216no—
916C2×C4⋊C4—48no—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C22⋊C4—24no—
977C2×C22⋊C4—24no—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C42—24no—
1034C2×C42—216no—
1035C2×C42C2×D418yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113C24—22no—
1114C24—42no—
1115C24—42no—
1116C24—41no—
1117C24—41no—
1118C24C2512yes—
1119C24C2512yes—
1120C24C2511yescharacteristic
1121C24C2514yes—
1122#41—432no—
1123#41—816no—
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—22no—
1127C2×Q8—24no—
1128C2×Q8—24no—
1129C2×Q8—24no—
1130C2×Q8—28no—
1131C2×Q8—24no—
1132C2×Q8—24no—
1133C2×Q8—24no—
1134C2×Q8—24no—
1135C2×Q8—41no—
1136C2×Q8—41no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—44no—
1141C2×Q8—42no—
1142C2×Q8—42no—
1143C2×Q8—816no—
1144C2×Q8C22×D418yes—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—24no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—22no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4C22×D418yes—
1177C2×D4C22×D418yes—
1178C2×D4C22×D4116yes—
1179C2×D4C22×D418yes—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—28no—
1185C22×C4—28no—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—28no—
1196C22×C4—28no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—416no—
1224C22×C4C22×D414yes—
1225C22×C4C22×D4116yes—
1226C22×C4C22×D414yes—
1227C22×C4C22×D414yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2514yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4C22×D418yes—
1311C4⋊C4C22×D418yes—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4C22×D4116yes—
1366C22⋊C4C22×D4116yes—
1367C42—24no—
1368C42—24no—
1369C42—28no—
1370C42—28no—
1371C42—28no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—28no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—42no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42C22×D414yes—
1388C42C22×D414yes—
1389C42C22×D414yes—
1390C42C22×D414yes—
1391C23—22no—
1392C23—24no—
1393C23—24no—
1394C23—24no—
1395C23—24no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—24no—
1400C23—24no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—44no—
1416C23—82no—
1417C23—82no—
1418C23—84no—
1419C23—84no—
1420C23C23×D412yes—
1421C23C23×D418yes—
1422C23C2611yescharacteristic
1423Q8—216no—
1424Q8—44no—
1425Q8—44no—
1426Q8—44no—
1427Q8—84no—
1428Q8—84no—
1429Q8—84no—
1430Q8—88no—
1431D4—216no—
1432D4—48no—
1433D4—48no—
1434D4—416no—
1435D4—44no—
1436D4—84no—
1437D4—84no—
1438D4—88no—
1439D4—88no—
1440D4—88no—
1441D4—88no—
1442D4—84no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—28no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—416no—
1505C2×C4—48no—
1506C2×C4—44no—
1507C2×C4—48no—
1508C2×C4—48no—
1509C2×C4—88no—
1510C2×C4—88no—
1511C2×C4—82no—
1512C2×C4—88no—
1513C2×C4—88no—
1514C2×C4—82no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—164no—
1518C2×C4C23×D412yes—
1519C2×C4C23×D412yes—
1520C2×C4C23×D418yes—
1521C2×C4C23×D412yes—
1522C2×C4C23×D412yes—
1523C2×C4C23×D412yes—
1524C2×C4C23×D412yes—
1525C2×C4#58514yes—
1526C2×C4#58514yes—
1527C22—22no—
1528C22—28no—
1529C22—22no—
1530C22—28no—
1531C22—22no—
1532C22—28no—
1533C22—44no—
1534C22—44no—
1535C22—42no—
1536C22—44no—
1537C22—44no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—88no—
1554C22C24×D411yescharacteristic
1555C22C2×#58512yes—
1556C22C2×#58512yes—
1557C222−1+611yescharacteristic
1558C222−1+611yescharacteristic
1559C4—22no—
1560C4—28no—
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—24no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—44no—
1574C4—42no—
1575C4—42no—
1576C4—44no—
1577C4—42no—
1578C4—44no—
1579C4—42no—
1580C4—42no—
1581C4—44no—
1582C4—42no—
1583C4#348514yes—
1584C2—48no—
1585C2—42no—
1586C2—82no—
1587C2—82no—
1588C2C2×#348511yescharacteristic
1589C2#6281211yescharacteristic
1590C2#6285911yescharacteristic
1591C2#6294012yes—
1592C2#6296712yes—
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×#3554C2semidirect
2. C2×#3455C2semidirect
3. #49570C2semidirect
4. #47857C2semidirect
5. #47218C2semidirect
6. #47213C2semidirect
7. #46818C2semidirect
8. #46817C2semidirect
9. #45324C2semidirect
10. #45249C2semidirect
11. #45100C2semidirect
12. #44895C2semidirect
13. #39884C2semidirect
14. #39860C2semidirect
15. #39847C2semidirect
16. #39418C2semidirect
17. #39418C2semidirect
18. #39377C2semidirect
19. #39374C2semidirect
20. #38363C2semidirect
21. #37560C2semidirect
22. #36972C2semidirect
23. #36432C2semidirect
24. #36217C2semidirect
25. #35464C2semidirect
26. #35325C2semidirect
27. #35322C2semidirect
28. #34877C2semidirect
29. #34232C2semidirect
32. C2×#559C22semidirect
33. C2×#559C22semidirect
34. C2×#557C22semidirect
35. C2×#554C22semidirect
36. C2×#550C22semidirect
37. C2×D4×Q8C22semidirect
44. C2×#542C22semidirect
50. C2×#539C22semidirect
53. C2×#536C22semidirect
63. #2868C22semidirect
64. #2862C22semidirect
65. #2862C22semidirect
66. #2862C22semidirect
69. #2855C22semidirect
70. #2853C22semidirect
75. #2726C22semidirect
78. #2724C22semidirect
80. #2719C22semidirect
82. #2718C22semidirect
84. #2717C22semidirect
86. #2713C22semidirect
89. #2709C22semidirect
93. #2704C22semidirect
97. #2701C22semidirect
101. #2698C22semidirect
102. #2698C22semidirect
104. #2689C22semidirect
105. #2689C22semidirect
106. #2687C22semidirect
107. #2687C22semidirect
112. #2674C22semidirect
117. #2634C22semidirect
118. #2632C22semidirect
121. #2628C22semidirect
122. #2628C22semidirect
128. #2604C22semidirect
135. #2584C22semidirect
139. #2565C22semidirect
140. #2565C22semidirect
141. #2565C22semidirect
142. #2565C22semidirect
144. #2562C22semidirect
150. #2556C22semidirect
151. #2553C22semidirect
152. #2553C22semidirect
153. #2549C22semidirect
154. #2549C22semidirect
162. #2521C22semidirect
164. #2506C22semidirect
170. #2499C22semidirect
171. #2498C22semidirect
172. #2496C22semidirect
177. #2488C22semidirect
178. #2486C22semidirect
181. #2485C22semidirect
183. #2484C22semidirect
187. #2462C22semidirect
188. #2460C22semidirect
191. #2447C22semidirect
192. #2447C22semidirect
193. #2446C22semidirect
194. #2446C22semidirect
199. #2440C22semidirect
205. #2425C22semidirect
207. #2423C22semidirect
210. #2422C22semidirect
212. #2421C22semidirect
215. #2420C22semidirect
218. #2419C22semidirect
219. #2419C22semidirect
228. #2366C22semidirect
229. #2365C22semidirect
231. #2353C22semidirect
232. #2351C22semidirect
233. Q8×C4⋊C4C22semidirect
234. #2349C22semidirect
235. D4×C4⋊C4C22semidirect
237. Q8×C22⋊C4C22semidirect
238. Q8×C22⋊C4C22semidirect
240. #2339C22semidirect
241. #2339C22semidirect
244. #2327C22semidirect
249. #2319C22semidirect
250. C4×#124C22semidirect
251. C4×#124C22semidirect
253. C4×#123C22semidirect
257. C2×#387C22semidirect
259. #2275C22semidirect
289. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35542
C2×#34552
#495702
#478572
#472182
#472132
#468182
#468172
#453242
#452492
#451002
#448952
#398842
#398602
#398472
#394182
#393772
#393742
#383632
#375602
#369722
#364322
#362172
#354642
#353252
#353222
#348772
#342322