Finite Group Databasebeta

← #7683638

Subgroups — #7683638

Order 512.

5169 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60038C212yesmaximal, complemented
2#59977C214yesmaximal, complemented
3#59516C214yesmaximal, complemented
4#59465C212yesmaximal, complemented
5#59361C212yesmaximal, complemented
6#59233C212yesmaximal, complemented
7#59233C212yesmaximal, complemented
8#59230C212yesmaximal, complemented
9#59059C212yesmaximal, complemented
10#59053C212yesmaximal, complemented
11#45435C211yesmaximal, characteristic, complemented
12#45410C211yesmaximal, characteristic, complemented
13#45378C211yesmaximal, characteristic, complemented
14#45369C211yesmaximal, characteristic, complemented
15#44993C212yesmaximal, complemented
16#44980C212yesmaximal, complemented
17#44377C212yesmaximal, complemented
18#44305C212yesmaximal, complemented
19#44223C214yesmaximal, complemented
20#43882C212yesmaximal, complemented
21#43857C214yesmaximal, complemented
22#43823C212yesmaximal, complemented
23#35607C212yesmaximal, complemented
24#35573C212yesmaximal, complemented
25#35568C212yesmaximal, complemented
26#34977C211yesmaximal, characteristic, complemented
27#34947C211yesmaximal, characteristic, complemented
28#34876C211yesmaximal, characteristic, complemented
29#34305C212yesmaximal, complemented
30#34300C212yesmaximal, complemented
31#34220C212yesmaximal, complemented
32C2×#553C2212yes—
33C2×#552C2212yes—
34C2×#542C2212yes—
35C2×#533C2211yescharacteristic
36C2×#532C2211yescharacteristic
37C2×#529C2212yes—
38C2×#529C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40#2795C2212yes—
41#2795C2212yes—
42#2792C2212yes—
43#2792C2212yes—
44#2785C2212yes—
45#2785C2214yes—
46#2785C2212yes—
47#2785C2214yes—
48#2784C2214yes—
49#2784C2212yes—
50#2784C2212yes—
51#2784C2214yes—
52#2781C2214yes—
53#2781C2214yes—
54#2775C2214yes—
55#2756C2214yes—
56#2744C2214yes—
57#2734C2214yes—
58#2731C2214yes—
59#2727C2214yes—
60#2721C2214yes—
61#2714C2214yes—
62#2705C2214yes—
63#2705C2214yes—
64#2694C2214yes—
65#2686C2214yes—
66#2682C2214yes—
67#2673C2214yes—
68#2612C2212yes—
69#2611C2211yescharacteristic
70#2611C2211yescharacteristic
71#2610C2211yescharacteristic
72#2610C2211yescharacteristic
73#2610C2214yes—
74#2610C2214yes—
75#2610C2212yes—
76#2610C2214yes—
77#2610C2212yes—
78#2609C2212yes—
79#2604C2214yes—
80#2604C2212yes—
81#2603C2212yes—
82#2602C2214yes—
83#2601C2214yes—
84#2593C2212yes—
85#2592C2212yes—
86#2586C2214yes—
87#2574C2214yes—
88#2574C2214yes—
89#2571C2212yes—
90#2568C2211yescharacteristic
91#2567C2211yescharacteristic
92#2567C2211yescharacteristic
93#2566C2212yes—
94#2565C2212yes—
95#2564C2214yes—
96#2564C2211yescharacteristic
97#2564C2211yescharacteristic
98#2564C2212yes—
99#2564C2212yes—
100#2563C2214yes—
101#2563C2214yes—
102#2563C2211yescharacteristic
103#2563C2214yes—
104#2563C2212yes—
105#2563C2211yescharacteristic
106#2560C2214yes—
107#2559C2214yes—
108#2558C2214yes—
109#2557C2214yes—
110#2556C2214yes—
111#2555C2214yes—
112#2555C2212yes—
113#2554C2214yes—
114#2554C2214yes—
115#2554C2214yes—
116#2553C2214yes—
117#2551C2212yes—
118#2551C2212yes—
119#2551C2212yes—
120#2551C2212yes—
121#2548C2211yescharacteristic
122#2546C2212yes—
123#2545C2212yes—
124#2545C2214yes—
125#2544C2212yes—
126#2543C2211yescharacteristic
127#2543C2211yescharacteristic
128#2542C2211yescharacteristic
129#2541C2211yescharacteristic
130#2540C2212yes—
131#2540C2212yes—
132#2540C2212yes—
133#2538C2212yes—
134#2537C2212yes—
135#2537C2212yes—
136#2532C2214yes—
137#2532C2214yes—
138#2531C2214yes—
139#2521C2214yes—
140#2519C2214yes—
141#2508C2214yes—
142#2500C2212yes—
143#2498C2212yes—
144#2492C2212yes—
145#2492C2212yes—
146#2491C2214yes—
147#2491C2212yes—
148#2491C2212yes—
149#2491C2214yes—
150#2491C2214yes—
151#2479C2214yes—
152#2479C2214yes—
153#2479C2214yes—
154#2474C2214yes—
155#2471C2214yes—
156#2467C2214yes—
157#2464C2214yes—
158#2461C2214yes—
159#2459C2214yes—
160#2459C2214yes—
161#2456C2214yes—
162#2456C2214yes—
163#2456C2214yes—
164#2454C2214yes—
165#2454C2214yes—
166#2452C2214yes—
167#2452C2214yes—
168#2439C2214yes—
169#2432C2214yes—
170#2431C2212yes—
171#2430C2214yes—
172#2430C2212yes—
173#2429C2212yes—
174#2428C2212yes—
175#2427C2212yes—
176#2426C2212yes—
177#2417C2212yes—
178#2417C2212yes—
179#2417C2212yes—
180#2416C2212yes—
181#2415C2212yes—
182#2414C2214yes—
183#2414C2214yes—
184#2414C2212yes—
185#2414C2214yes—
186#2414C2212yes—
187#2414C2212yes—
188#2399C2211yescharacteristic
189#2398C2211yescharacteristic
190#2398C2211yescharacteristic
191#2397C2211yescharacteristic
192#2396C2212yes—
193#2396C2212yes—
194#2388C2212yes—
195#2388C2212yes—
196#2374C2214yes—
197#2373C2214yes—
198#2373C2214yes—
199#2373C2214yes—
200#2373C2214yes—
201#2371C2214yes—
202#2370C2212yes—
203#2370C2212yes—
204#2366C2214yes—
205#2364C2214yes—
206#2363C2214yes—
207#2362C2212yes—
208#2362C2212yes—
209#2361C2212yes—
210#2361C2212yes—
211#2359C2214yes—
212#2359C2214yes—
213#2359C2214yes—
214#2355C2212yes—
215#2354C2212yes—
216#2354C2214yes—
217#2354C2212yes—
218#2353C2214yes—
219#2349C2214yes—
220#2349C2214yes—
221D4×C4⋊C4C2212yes—
222#2346C2212yes—
223#2346C2214yes—
224#2346C2214yes—
225#2346C2214yes—
226#2346C2212yes—
227#2345C2212yes—
228#2345C2212yes—
229#2343C2214yes—
230#2335C2214yes—
231#2335C2214yes—
232#2334C2214yes—
233#2334C2214yes—
234#2330C2212yes—
235#2330C2212yes—
236#2326C2212yes—
237#2326C2212yes—
238#2324C2212yes—
239#2323C2212yes—
240#2320C2212yes—
241#2319C2212yes—
242C4×#127C2212yes—
243C4×#125C2214yes—
244C4×#124C2212yes—
245C4×C22⋊Q8C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×C22⋊Q8C2212yes—
248C4×#121C2214yes—
249C4×#121C2212yes—
250C4×#121C2212yes—
251C4×#121C2212yes—
252C4×#121C2212yes—
253C4×#121C2212yes—
254#2298C2214yes—
255#2297C2212yes—
256#2290C2212yes—
257#2290C2214yes—
258#2290C2212yes—
259#2285C2212yes—
260#2285C2212yes—
261#2276C2212yes—
262#2275C2212yes—
263#2274C2212yes—
264C4×#117C2211yescharacteristic
265C2×C4×C4⋊C4C2211yescharacteristic
266C2×#376C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269#553—216no—
270#552—216no—
271#542—48no—
272#533—44no—
273#532—44no—
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2314yes—
279C2×C4⋊Q8C2314yes—
280C2×C4⋊Q8C2314yes—
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283#529—216no—
284#529—44no—
285C2×#126C2314yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#126C2312yes—
289C2×#126C2314yes—
290C2×#125C2314yes—
291C2×#125C2312yes—
292C2×#125C2311yescharacteristic
293C2×#125C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2311yescharacteristic
297C2×#124C2312yes—
298C2×#124C2314yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2311yescharacteristic
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C4×#41—44no—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2314yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2314yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2312yes—
375C22×C42C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2311yescharacteristic
379#400C2314yes—
380#400C2311yescharacteristic
381#400C2312yes—
382#400C2314yes—
383#399C2311yescharacteristic
384#399C2311yescharacteristic
385#399C2312yes—
386#399C2312yes—
387#399C2314yes—
388#399C2312yes—
389#399C2314yes—
390#399C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2311yescharacteristic
396#398C2314yes—
397#398C2312yes—
398#398C2311yescharacteristic
399#398C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2312yes—
403#397C2311yescharacteristic
404#397C2311yescharacteristic
405#397C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#395C2312yes—
417#395C2312yes—
418#395C2314yes—
419#395C2311yescharacteristic
420#395C2311yescharacteristic
421#395C2312yes—
422#395C2312yes—
423#395C2314yes—
424#395C2312yes—
425#395C2314yes—
426#395C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2312yes—
432#394C2312yes—
433#394C2312yes—
434#394C2311yescharacteristic
435#394C2311yescharacteristic
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#393C2314yes—
447#393C2311yescharacteristic
448#393C2312yes—
449#393C2312yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2312yes—
454#393C2314yes—
455#393C2314yes—
456#393C2312yes—
457#393C2314yes—
458#393C2311yescharacteristic
459#393C2312yes—
460#392C2314yes—
461#392C2312yes—
462#392C2314yes—
463#392C2312yes—
464#392C2312yes—
465#392C2311yescharacteristic
466#392C2311yescharacteristic
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#390C2314yes—
483#390C2314yes—
484#390C2314yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2314yes—
491#390C2314yes—
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2314yes—
499#390C2314yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2312yes—
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#386C2314yes—
605#386C2312yes—
606#386C2314yes—
607#386C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2312yes—
619#386C2312yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2312yes—
631#385C2312yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2312yes—
642#384C2312yes—
643#384C2312yes—
644#384C2312yes—
645#384C2312yes—
646#384C2312yes—
647#383C2314yes—
648#382C2314yes—
649#382C2312yes—
650#382C2314yes—
651#382C2314yes—
652#382C2312yes—
653#382C2314yes—
654#382C2314yes—
655#382C2314yes—
656#382C2312yes—
657#381C2314yes—
658#380C2312yes—
659#380C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2314yes—
663#380C2314yes—
664#380C2314yes—
665#380C2314yes—
666#380C2314yes—
667#380C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2314yes—
672#380C2312yes—
673#380C2312yes—
674#380C2314yes—
675#380C2312yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2311yescharacteristic
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2311yescharacteristic
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2314yes—
726#376C2311yescharacteristic
727#376C2311yescharacteristic
728#376C2312yes—
729#376C2312yes—
730#376C2311yescharacteristic
731#376C2314yes—
732#376C2312yes—
733#376C2314yes—
734#376C2314yes—
735#376C2311yescharacteristic
736C2×#95C2312yes—
737C2×#95C2314yes—
738C2×#95C2311yescharacteristic
739C2×#95C2311yescharacteristic
740C2×#95C2312yes—
741C43C2312yes—
742C2×#41—24no—
743C2×#41—42no—
744C2×#41—44no—
745C2×#41—42no—
746C2×#41—84no—
747C22×Q8C2412yes—
748C22×Q8C2411yescharacteristic
749C22×Q8C2412yes—
750C22×Q8C2411yescharacteristic
751C22×Q8C2414yes—
752C22×Q8C2412yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2411yescharacteristic
758C22×D4C2411yescharacteristic
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2411yescharacteristic
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2412yes—
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2411yescharacteristic
785C4⋊Q8—42no—
786C4⋊Q8—42no—
787C4⋊Q8—44no—
788C4⋊Q8—42no—
789C4⋊Q8—84no—
790C4⋊Q8—84no—
791C4⋊Q8—84no—
792#127—28no—
793#127—42no—
794#126—216no—
795#126—216no—
796#126—216no—
797#126—44no—
798#126—48no—
799#125—216no—
800#125—42no—
801#125—44no—
802#125#41116yescomplemented
803#124—28no—
804#124—42no—
805#124—44no—
806#124—48no—
807#124—44no—
808#124—44no—
809#124—84no—
810#124—84no—
811#123—216no—
812#123—216no—
813#123—216no—
814#123—44no—
815#123—48no—
816C22⋊Q8—28no—
817C22⋊Q8—28no—
818C22⋊Q8—28no—
819C22⋊Q8—42no—
820C22⋊Q8—44no—
821C22⋊Q8—48no—
822C22⋊Q8—44no—
823C22⋊Q8—44no—
824#121—28no—
825#121—28no—
826#121—216no—
827#121—28no—
828#121—28no—
829#121—42no—
830#121—44no—
831#121—44no—
832#121—44no—
833#121—44no—
834#121—84no—
835#121—84no—
836#121—84no—
837C4×Q8—28no—
838C4×Q8—28no—
839C4×Q8—28no—
840C4×Q8—42no—
841C4×Q8—42no—
842C4×Q8—42no—
843C4×Q8—44no—
844C4×D4—28no—
845C4×D4—216no—
846C4×D4—216no—
847C4×D4—28no—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—48no—
852C4×D4—42no—
853C4×D4—42no—
854C4×D4—42no—
855C4×D4—42no—
856C4×D4—42no—
857C4×D4—42no—
858C4×D4—42no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—84no—
862C4×D4—84no—
863C4×D4—84no—
864C4×D4—84no—
865C4×D4—84no—
866#117—216no—
867#117—28no—
868#117—216no—
869#117—28no—
870#117—28no—
871#117—42no—
872#117—42no—
873#117—42no—
874#117—44no—
875#117—48no—
876#117—84no—
877C2×C4⋊C4—28no—
878C2×C4⋊C4—28no—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2411yescharacteristic
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2411yescharacteristic
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C42—28no—
989C2×C42—24no—
990C2×C42—24no—
991C2×C42—24no—
992C2×C42—44no—
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2414yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025#95C2412yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2411yescharacteristic
1031#95C2412yes—
1032#95C2411yescharacteristic
1033#95C2412yes—
1034#95C2411yescharacteristic
1035#95C2411yescharacteristic
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081C24C2511yescharacteristic
1082C24C2514yes—
1083C24C2512yes—
1084C24C2511yescharacteristic
1085C24C2511yescharacteristic
1086#41—416no—
1087#41—816no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—24no—
1091C2×Q8—22no—
1092C2×Q8—22no—
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—42no—
1096C2×Q8—42no—
1097C2×Q8—44no—
1098C2×Q8—42no—
1099C2×Q8—44no—
1100C2×Q8—44no—
1101C2×Q8—44no—
1102C2×Q8—44no—
1103C2×D4—24no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—28no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—22no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—42no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—42no—
1128C2×D4—41no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D42−1+414yes—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—24no—
1150C22×C4—22no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—24no—
1164C22×C4—22no—
1165C22×C4—24no—
1166C22×C4—28no—
1167C22×C4—28no—
1168C22×C4—28no—
1169C22×C4—28no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—28no—
1173C22×C4—42no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—42no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—42no—
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—44no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—41no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4C2×#4118yes—
1267C4⋊C4C2×#4118yes—
1268C4⋊C4C2×#41116yes—
1269C4⋊C4C2×#41116yes—
1270C22⋊C4—24no—
1271C22⋊C4—24no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—24no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—24no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—24no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—28no—
1292C22⋊C4—24no—
1293C22⋊C4—44no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C42—24no—
1327C42—24no—
1328C42—24no—
1329C42—28no—
1330C42—28no—
1331C42—28no—
1332C42—28no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—28no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—44no—
1351C42—44no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—42no—
1356C42C2×#4118yes—
1357C42H(5,𝔽2)14yes—
1358C23—22no—
1359C23—22no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—24no—
1368C23—22no—
1369C23—24no—
1370C23—22no—
1371C23—22no—
1372C23—24no—
1373C23—21no—
1374C23—22no—
1375C23—21no—
1376C23—24no—
1377C23—24no—
1378C23—22no—
1379C23—21no—
1380C23—22no—
1381C23—24no—
1382C23—22no—
1383C23—22no—
1384C23—24no—
1385C23C2×2−1+412yes—
1386C23C2×2−1+412yes—
1387C23C2611yescharacteristic
1388Q8—44no—
1389Q8—48no—
1390Q8—82no—
1391Q8—84no—
1392Q8—84no—
1393Q8—164no—
1394D4—44no—
1395D4—48no—
1396D4—416no—
1397D4—416no—
1398D4—44no—
1399D4—44no—
1400D4—48no—
1401D4—84no—
1402D4—88no—
1403D4—84no—
1404D4—84no—
1405D4—82no—
1406D4—84no—
1407D4—88no—
1408D4—164no—
1409C2×C4—28no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—24no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—44no—
1471C2×C4—48no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—48no—
1477C2×C4—44no—
1478C2×C4—88no—
1479C2×C4—88no—
1480C2×C4—88no—
1481C2×C4—84no—
1482C2×C4—88no—
1483C2×C4—82no—
1484C2×C4—82no—
1485C2×C4—88no—
1486C2×C4C22×#4114yes—
1487C2×C4C22×#4118yes—
1488C2×C4C22×#4114yes—
1489C2×C4C22×#4118yes—
1490C2×C4C22×#4114yes—
1491C2×C4C2×H(5,𝔽2)12yes—
1492C2×C4C2×H(5,𝔽2)12yes—
1493C2×C4C2×H(5,𝔽2)12yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4#58512yes—
1496C22—24no—
1497C22—24no—
1498C22—22no—
1499C22—22no—
1500C22—42no—
1501C22—42no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—42no—
1507C22—44no—
1508C22—44no—
1509C22—42no—
1510C22—42no—
1511C22—44no—
1512C22—42no—
1513C22—44no—
1514C22—42no—
1515C22—42no—
1516C22—41no—
1517C22—44no—
1518C22—42no—
1519C22—41no—
1520C22—44no—
1521C22—42no—
1522C22—41no—
1523C22—42no—
1524C22—44no—
1525C22C23×#4112yes—
1526C22C22×H(5,𝔽2)11yescharacteristic
1527C22C22×2−1+411yescharacteristic
1528C22C2×#58511yescharacteristic
1529C22H(7,𝔽2)12yes—
1530C4—28no—
1531C4—24no—
1532C4—24no—
1533C4—28no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—44no—
1539C4—44no—
1540C4—42no—
1541C4—42no—
1542C4—41no—
1543C4—42no—
1544C4—41no—
1545C4—41no—
1546C4—44no—
1547C4—41no—
1548C4—44no—
1549C4—42no—
1550C4—42no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—44no—
1555C4#348314yes—
1556C2—42no—
1557C2—42no—
1558C2—82no—
1559C2—84no—
1560C2—81no—
1561C2C2×#348311yescharacteristic
1562C2#6281911yescharacteristic
1563C2#6287411yescharacteristic
1564C2#6299412yes—
1565C2#6300012yes—
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. #60038C2semidirect
2. #59977C2semidirect
3. #59516C2semidirect
4. #59465C2semidirect
5. #59361C2semidirect
6. #59233C2semidirect
7. #59233C2semidirect
8. #59230C2semidirect
9. #59059C2semidirect
10. #59053C2semidirect
11. #45435C2semidirect
12. #45410C2semidirect
13. #45378C2semidirect
14. #45369C2semidirect
15. #44993C2semidirect
16. #44980C2semidirect
17. #44377C2semidirect
18. #44305C2semidirect
19. #44223C2semidirect
20. #43882C2semidirect
21. #43857C2semidirect
22. #43823C2semidirect
23. #35607C2semidirect
24. #35573C2semidirect
25. #35568C2semidirect
26. #34977C2semidirect
27. #34947C2semidirect
28. #34876C2semidirect
29. #34305C2semidirect
30. #34300C2semidirect
31. #34220C2semidirect
802. #125#41semidirect

Maximal subgroups

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

subgroupindex
#600382
#599772
#595162
#594652
#593612
#592332
#592302
#590592
#590532
#454352
#454102
#453782
#453692
#449932
#449802
#443772
#443052
#442232
#438822
#438572
#438232
#356072
#355732
#355682
#349772
#349472
#348762
#343052
#343002
#342202