Finite Group Databasebeta

← #7683616

Subgroups — #7683616

Order 512.

5202 conjugacy classes of subgroups.

The subgroup lattice has 1573 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60048C212yesmaximal, complemented
2#59952C211yesmaximal, characteristic, complemented
3#59935C211yesmaximal, characteristic, complemented
4#59928C212yesmaximal, complemented
5#59924C211yesmaximal, characteristic, complemented
6#59908C211yesmaximal, characteristic, complemented
7#59798C212yesmaximal, complemented
8#59743C212yesmaximal, complemented
9#59544C212yesmaximal, complemented
10#59478C214yesmaximal, complemented
11#59410C212yesmaximal, complemented
12#59276C214yesmaximal, complemented
13#45208C212yesmaximal, complemented
14#45101C212yesmaximal, complemented
15#45078C212yesmaximal, complemented
16#44882C212yesmaximal, complemented
17#44377C212yesmaximal, complemented
18#44242C212yesmaximal, complemented
19#44181C214yesmaximal, complemented
20#43882C212yesmaximal, complemented
21#43842C214yesmaximal, complemented
22#43788C212yesmaximal, complemented
23#35607C212yesmaximal, complemented
24#35573C212yesmaximal, complemented
25#35569C212yesmaximal, complemented
26#34977C211yesmaximal, characteristic, complemented
27#34947C211yesmaximal, characteristic, complemented
28#34910C211yesmaximal, characteristic, complemented
29#34307C212yesmaximal, complemented
30#34298C212yesmaximal, complemented
31#34279C212yesmaximal, complemented
32C2×#556C2212yes—
33C2×#547C2212yes—
34C2×#542C2212yes—
35C2×#542C2212yes—
36C2×#533C2211yescharacteristic
37C2×#532C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40#2811C2212yes—
41#2811C2212yes—
42#2809C2212yes—
43#2803C2214yes—
44#2795C2212yes—
45#2795C2214yes—
46#2785C2212yes—
47#2784C2212yes—
48#2783C2214yes—
49#2775C2214yes—
50#2737C2214yes—
51#2737C2214yes—
52#2737C2214yes—
53#2733C2214yes—
54#2733C2212yes—
55#2732C2214yes—
56#2731C2212yes—
57#2731C2214yes—
58#2731C2214yes—
59#2730C2214yes—
60#2730C2214yes—
61#2727C2214yes—
62#2705C2214yes—
63#2705C2214yes—
64#2705C2214yes—
65#2705C2214yes—
66#2686C2214yes—
67#2682C2214yes—
68#2612C2212yes—
69#2612C2214yes—
70#2610C2212yes—
71#2610C2214yes—
72#2610C2214yes—
73#2610C2214yes—
74#2610C2212yes—
75#2610C2214yes—
76#2604C2214yes—
77#2602C2214yes—
78#2602C2212yes—
79#2602C2212yes—
80#2601C2212yes—
81#2601C2212yes—
82#2601C2214yes—
83#2592C2212yes—
84#2574C2214yes—
85#2574C2214yes—
86#2574C2214yes—
87#2572C2212yes—
88#2568C2211yescharacteristic
89#2567C2211yescharacteristic
90#2567C2211yescharacteristic
91#2567C2214yes—
92#2567C2214yes—
93#2567C2212yes—
94#2566C2211yescharacteristic
95#2566C2212yes—
96#2565C2211yescharacteristic
97#2565C2212yes—
98#2564C2214yes—
99#2564C2212yes—
100#2564C2212yes—
101#2563C2211yescharacteristic
102#2563C2211yescharacteristic
103#2560C2214yes—
104#2559C2214yes—
105#2558C2214yes—
106#2557C2214yes—
107#2556C2214yes—
108#2556C2214yes—
109#2555C2214yes—
110#2555C2212yes—
111#2555C2214yes—
112#2555C2214yes—
113#2554C2214yes—
114#2554C2214yes—
115#2554C2214yes—
116#2554C2214yes—
117#2551C2212yes—
118#2551C2212yes—
119#2551C2212yes—
120#2548C2211yescharacteristic
121#2547C2212yes—
122#2545C2212yes—
123#2545C2214yes—
124#2545C2211yescharacteristic
125#2544C2212yes—
126#2544C2211yescharacteristic
127#2542C2211yescharacteristic
128#2541C2211yescharacteristic
129#2540C2212yes—
130#2540C2212yes—
131#2540C2212yes—
132#2538C2212yes—
133#2537C2212yes—
134#2532C2214yes—
135#2526C2214yes—
136#2526C2214yes—
137#2521C2214yes—
138#2521C2214yes—
139#2518C2214yes—
140#2518C2214yes—
141#2512C2214yes—
142#2512C2214yes—
143#2500C2214yes—
144#2500C2212yes—
145#2500C2211yescharacteristic
146#2499C2211yescharacteristic
147#2497C2214yes—
148#2492C2212yes—
149#2492C2212yes—
150#2491C2214yes—
151#2491C2212yes—
152#2491C2212yes—
153#2491C2214yes—
154#2474C2214yes—
155#2461C2214yes—
156#2461C2214yes—
157#2459C2214yes—
158#2452C2214yes—
159#2448C2214yes—
160#2445C2214yes—
161#2439C2214yes—
162#2432C2214yes—
163#2432C2211yescharacteristic
164#2431C2214yes—
165#2431C2214yes—
166#2431C2211yescharacteristic
167#2431C2212yes—
168#2430C2214yes—
169#2429C2212yes—
170#2428C2212yes—
171#2427C2212yes—
172#2426C2214yes—
173#2426C2212yes—
174#2423C2214yes—
175#2423C2214yes—
176#2422C2214yes—
177#2417C2212yes—
178#2417C2212yes—
179#2417C2212yes—
180#2416C2212yes—
181#2415C2212yes—
182#2414C2212yes—
183#2414C2212yes—
184#2414C2212yes—
185#2407C2214yes—
186#2396C2212yes—
187#2396C2212yes—
188#2392C2212yes—
189#2392C2212yes—
190#2388C2212yes—
191#2388C2212yes—
192#2374C2214yes—
193#2374C2214yes—
194#2373C2214yes—
195#2373C2214yes—
196#2373C2214yes—
197#2373C2214yes—
198#2372C2214yes—
199#2372C2212yes—
200#2372C2214yes—
201#2372C2212yes—
202#2372C2212yes—
203#2369C2212yes—
204#2369C2212yes—
205#2369C2212yes—
206#2368C2214yes—
207#2368C2214yes—
208#2367C2214yes—
209#2363C2212yes—
210#2362C2212yes—
211#2362C2214yes—
212#2361C2212yes—
213#2360C2212yes—
214#2359C2214yes—
215#2359C2214yes—
216#2357C2212yes—
217#2356C2212yes—
218#2356C2214yes—
219#2354C2214yes—
220#2352C2212yes—
221#2352C2212yes—
222#2347C2212yes—
223#2346C2212yes—
224#2345C2212yes—
225#2344C2212yes—
226#2341C2214yes—
227#2339C2214yes—
228#2337C2214yes—
229#2335C2214yes—
230#2334C2214yes—
231#2332C2214yes—
232#2331C2212yes—
233#2326C2212yes—
234#2324C2212yes—
235#2324C2212yes—
236#2323C2212yes—
237#2323C2212yes—
238#2314C2212yes—
239C4×C4⋊Q8C2211yescharacteristic
240C4×C4⋊Q8C2212yes—
241C4×#127C2211yescharacteristic
242C4×#127C2212yes—
243C4×#126C2214yes—
244C4×#124C2212yes—
245C4×#124C2212yes—
246C4×#124C2211yescharacteristic
247C4×#124C2211yescharacteristic
248C4×C22⋊Q8C2212yes—
249C4×C22⋊Q8C2212yes—
250C4×#123C2214yes—
251C4×#121C2212yes—
252C4×#121C2212yes—
253#2297C2212yes—
254#2297C2214yes—
255#2295C2214yes—
256#2295C2212yes—
257#2293C2212yes—
258#2290C2212yes—
259#2290C2212yes—
260#2285C2212yes—
261#2276C2212yes—
262#2275C2212yes—
263#2274C2212yes—
264C4×#117C2211yescharacteristic
265C4×#117C2211yescharacteristic
266C2×C4×C4⋊C4C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2314yes—
269C22×#41C2312yes—
270#556—216no—
271#547—216no—
272#542—216no—
273#542—48no—
274#533—44no—
275#532—44no—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2314yes—
282C2×C4⋊Q8C2314yes—
283C2×C4⋊Q8C2312yes—
284C2×#127C2311yescharacteristic
285C2×#127C2312yes—
286C2×#127C2311yescharacteristic
287#529—44no—
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#126C2312yes—
293C2×#125C2311yescharacteristic
294C2×#125C2312yes—
295C2×#124C2312yes—
296C2×#124C2314yes—
297C2×#124C2314yes—
298C2×#124C2312yes—
299C2×#124C2311yescharacteristic
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2314yes—
303C2×#124C2311yescharacteristic
304C2×#124C2311yescharacteristic
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C4×#41—44no—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2314yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2314yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2314yes—
369C2×#117C2314yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#399C2312yes—
381#399C2312yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#398C2314yes—
386#398C2312yes—
387#398C2314yes—
388#398C2312yes—
389#398C2314yes—
390#398C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2312yes—
394#397C2312yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#396C2312yes—
399#396C2312yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2312yes—
406#396C2312yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#395C2312yes—
413#395C2314yes—
414#395C2312yes—
415#395C2312yes—
416#395C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2312yes—
421#395C2314yes—
422#394C2314yes—
423#394C2312yes—
424#394C2312yes—
425#394C2312yes—
426#394C2314yes—
427#394C2312yes—
428#394C2312yes—
429#394C2312yes—
430#394C2312yes—
431#394C2314yes—
432#394C2314yes—
433#394C2312yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#393C2314yes—
445#393C2312yes—
446#393C2312yes—
447#393C2312yes—
448#393C2312yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#392C2312yes—
454#392C2314yes—
455#392C2312yes—
456#392C2312yes—
457#392C2314yes—
458#392C2312yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#391C2314yes—
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2311yescharacteristic
486#390C2314yes—
487#390C2312yes—
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2311yescharacteristic
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#388C2312yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2312yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2312yes—
635#385C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2312yes—
642#384C2311yescharacteristic
643#384C2312yes—
644#384C2311yescharacteristic
645#384C2312yes—
646#384C2312yes—
647#384C2312yes—
648#384C2314yes—
649#383C2314yes—
650#383C2314yes—
651#382C2312yes—
652#382C2312yes—
653#382C2311yescharacteristic
654#382C2312yes—
655#382C2311yescharacteristic
656#382C2312yes—
657#382C2314yes—
658#381C2314yes—
659#381C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2314yes—
665#380C2314yes—
666#380C2314yes—
667#380C2314yes—
668#380C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2311yescharacteristic
685C4×C4⋊C4C2311yescharacteristic
686C4×C4⋊C4C2311yescharacteristic
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2311yescharacteristic
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2311yescharacteristic
731#376C2312yes—
732#376C2314yes—
733#376C2314yes—
734#376C2312yes—
735#376C2314yes—
736#376C2314yes—
737C2×#95C2312yes—
738C2×#95C2314yes—
739C43C2312yes—
740C43C2311yescharacteristic
741C43C2311yescharacteristic
742C2×#41—216no—
743C2×#41—24no—
744C2×#41—42no—
745C2×#41—44no—
746C2×#41—42no—
747C2×#41—48no—
748C2×#41—84no—
749C2×#41—84no—
750C22×Q8C2412yes—
751C22×Q8C2411yescharacteristic
752C22×Q8C2412yes—
753C22×Q8C2414yes—
754C22×Q8C2412yes—
755C22×Q8C2414yes—
756C22×Q8C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2411yescharacteristic
760C22×D4C2411yescharacteristic
761C22×D4C2412yes—
762C22×D4C2411yescharacteristic
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2411yescharacteristic
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2414yes—
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2414yes—
785C23×C4C2411yescharacteristic
786C23×C4C2414yes—
787C4⋊Q8—24no—
788C4⋊Q8—42no—
789C4⋊Q8—42no—
790C4⋊Q8—44no—
791C4⋊Q8—42no—
792C4⋊Q8—84no—
793C4⋊Q8—84no—
794C4⋊Q8#41116yescomplemented
795#127—42no—
796#127—44no—
797#127—42no—
798#126—216no—
799#126—216no—
800#126—216no—
801#126—44no—
802#126—48no—
803#125—42no—
804#125—44no—
805#124—216no—
806#124—216no—
807#124—28no—
808#124—24no—
809#124—28no—
810#124—42no—
811#124—44no—
812#124—48no—
813#124—44no—
814#124—42no—
815#124—84no—
816#124—84no—
817#124—84no—
818#123—216no—
819#123—216no—
820#123—216no—
821#123—44no—
822#123—48no—
823C22⋊Q8—216no—
824C22⋊Q8—216no—
825C22⋊Q8—28no—
826C22⋊Q8—28no—
827C22⋊Q8—28no—
828C22⋊Q8—42no—
829C22⋊Q8—44no—
830C22⋊Q8—48no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833#121—28no—
834#121—28no—
835#121—28no—
836#121—42no—
837#121—44no—
838#121—44no—
839#121—44no—
840#121—84no—
841#121—84no—
842#121—84no—
843C4×Q8—216no—
844C4×Q8—28no—
845C4×Q8—28no—
846C4×Q8—28no—
847C4×Q8—42no—
848C4×Q8—42no—
849C4×Q8—42no—
850C4×Q8—44no—
851C4×Q8—84no—
852C4×D4—28no—
853C4×D4—28no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—42no—
858C4×D4—42no—
859C4×D4—42no—
860C4×D4—42no—
861C4×D4—42no—
862C4×D4—42no—
863C4×D4—42no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—48no—
867C4×D4—84no—
868C4×D4—84no—
869#117—28no—
870#117—28no—
871#117—28no—
872#117—28no—
873#117—42no—
874#117—42no—
875#117—42no—
876#117—44no—
877#117—84no—
878#117—84no—
879C2×C4⋊C4—28no—
880C2×C4⋊C4—28no—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2411yescharacteristic
962C2×C22⋊C4C2411yescharacteristic
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2411yescharacteristic
965C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C42—24no—
992C2×C42—24no—
993C2×C42—24no—
994C2×C42—44no—
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031#95C2412yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083C24C2511yescharacteristic
1084C24C2512yes—
1085C24C2511yescharacteristic
1086C24C2514yes—
1087C24C2511yescharacteristic
1088#41—416no—
1089#41—832no—
1090#41—816no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—22no—
1095C2×Q8—41no—
1096C2×Q8—44no—
1097C2×Q8—41no—
1098C2×Q8—44no—
1099C2×Q8—41no—
1100C2×Q8—42no—
1101C2×Q8—42no—
1102C2×Q8—41no—
1103C2×Q8—44no—
1104C2×Q8—44no—
1105C2×Q8—44no—
1106C2×Q8—44no—
1107C2×Q8—44no—
1108C2×Q8C2×#41116yes—
1109C2×Q82−1+414yes—
1110C2×D4—28no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—24no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—44no—
1131C2×D4—41no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—41no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—41no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—28no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—28no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—24no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—28no—
1174C22×C4—28no—
1175C22×C4—28no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—28no—
1179C22×C4—44no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2514yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—24no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—28no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—41no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—41no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4C2×#4118yes—
1269C4⋊C4C2×#4118yes—
1270C4⋊C4C2×#41116yes—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—24no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
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—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C42—24no—
1330C42—28no—
1331C42—28no—
1332C42—28no—
1333C42—28no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—28no—
1345C42—22no—
1346C42—24no—
1347C42—22no—
1348C42—44no—
1349C42—42no—
1350C42—42no—
1351C42—42no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—42no—
1358C42—44no—
1359C42—44no—
1360C42—41no—
1361C42—42no—
1362C42—41no—
1363C42C2×#4118yes—
1364C42H(5,𝔽2)14yes—
1365C23—22no—
1366C23—21no—
1367C23—21no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—24no—
1372C23—22no—
1373C23—24no—
1374C23—22no—
1375C23—22no—
1376C23—24no—
1377C23—21no—
1378C23—21no—
1379C23—22no—
1380C23—24no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—24no—
1385C23—22no—
1386C23—21no—
1387C23—22no—
1388C23—22no—
1389C23—24no—
1390C23—22no—
1391C23—24no—
1392C23—22no—
1393C23#58512yes—
1394C23C2611yescharacteristic
1395Q8—416no—
1396Q8—44no—
1397Q8—48no—
1398Q8—82no—
1399Q8—84no—
1400Q8—84no—
1401Q8—164no—
1402D4—44no—
1403D4—44no—
1404D4—416no—
1405D4—48no—
1406D4—44no—
1407D4—48no—
1408D4—84no—
1409D4—88no—
1410D4—84no—
1411D4—82no—
1412D4—88no—
1413D4—84no—
1414D4—84no—
1415D4—88no—
1416D4—164no—
1417C2×C4—28no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—416no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—48no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—88no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4—88no—
1489C2×C4—88no—
1490C2×C4—88no—
1491C2×C4C22×#4114yes—
1492C2×C4C22×#4118yes—
1493C2×C4C22×#4118yes—
1494C2×C4C22×#4114yes—
1495C2×C4C22×#4114yes—
1496C2×C4C2×H(5,𝔽2)12yes—
1497C2×C4C2×H(5,𝔽2)12yes—
1498C2×C4C2×H(5,𝔽2)12yes—
1499C2×C4C2×2−1+412yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4C2×2−1+412yes—
1502C22—24no—
1503C22—22no—
1504C22—42no—
1505C22—41no—
1506C22—41no—
1507C22—42no—
1508C22—44no—
1509C22—44no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—44no—
1516C22—42no—
1517C22—44no—
1518C22—42no—
1519C22—41no—
1520C22—41no—
1521C22—42no—
1522C22—44no—
1523C22—41no—
1524C22—44no—
1525C22—41no—
1526C22—42no—
1527C22—41no—
1528C22—42no—
1529C22—41no—
1530C22—44no—
1531C22C23×#4112yes—
1532C22C22×H(5,𝔽2)11yescharacteristic
1533C22C22×2−1+411yescharacteristic
1534C22C2×#58511yescharacteristic
1535C22H(7,𝔽2)12yes—
1536C4—28no—
1537C4—24no—
1538C4—28no—
1539C4—24no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—22no—
1545C4—44no—
1546C4—42no—
1547C4—42no—
1548C4—44no—
1549C4—42no—
1550C4—41no—
1551C4—41no—
1552C4—44no—
1553C4—41no—
1554C4—42no—
1555C4—44no—
1556C4—41no—
1557C4—42no—
1558C4—41no—
1559C4—41no—
1560C4—44no—
1561C4#348314yes—
1562C2—42no—
1563C2—82no—
1564C2—84no—
1565C2—81no—
1566C2—81no—
1567C2C2×#348311yescharacteristic
1568C2#6281911yescharacteristic
1569C2#6287411yescharacteristic
1570C2#6299012yes—
1571C2#6299912yes—
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. #60048C2semidirect
2. #59952C2semidirect
3. #59935C2semidirect
4. #59928C2semidirect
5. #59924C2semidirect
6. #59908C2semidirect
7. #59798C2semidirect
8. #59743C2semidirect
9. #59544C2semidirect
10. #59478C2semidirect
11. #59410C2semidirect
12. #59276C2semidirect
13. #45208C2semidirect
14. #45101C2semidirect
15. #45078C2semidirect
16. #44882C2semidirect
17. #44377C2semidirect
18. #44242C2semidirect
19. #44181C2semidirect
20. #43882C2semidirect
21. #43842C2semidirect
22. #43788C2semidirect
23. #35607C2semidirect
24. #35573C2semidirect
25. #35569C2semidirect
26. #34977C2semidirect
27. #34947C2semidirect
28. #34910C2semidirect
29. #34307C2semidirect
30. #34298C2semidirect
31. #34279C2semidirect
794. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600482
#599522
#599352
#599282
#599242
#599082
#597982
#597432
#595442
#594782
#594102
#592762
#452082
#451012
#450782
#448822
#443772
#442422
#441812
#438822
#438422
#437882
#356072
#355732
#355692
#349772
#349472
#349102
#343072
#342982
#342792