Finite Group Databasebeta

← #8091811

Subgroups — #8091811

Order 512.

5061 conjugacy classes of subgroups.

The subgroup lattice has 1572 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#46338C211yesmaximal, characteristic, complemented
2#46287C212yesmaximal, complemented
3#46062C212yesmaximal, complemented
4#46036C214yesmaximal, complemented
5#45967C214yesmaximal, complemented
6#45836C214yesmaximal, complemented
7#45824C214yesmaximal, complemented
8#45741C212yesmaximal, complemented
9#45720C212yesmaximal, complemented
10#45655C212yesmaximal, complemented
11#45645C211yesmaximal, characteristic, complemented
12#45602C212yesmaximal, complemented
13#45600C212yesmaximal, complemented
14#45572C214yesmaximal, complemented
15#45514C212yesmaximal, complemented
16#45502C211yesmaximal, characteristic, complemented
17#45468C214yesmaximal, complemented
18#45452C212yesmaximal, complemented
19#36426C211yesmaximal, characteristic, complemented
20#36417C212yesmaximal, complemented
21#36415C211yesmaximal, characteristic, complemented
22#36297C212yesmaximal, complemented
23#36273C212yesmaximal, complemented
24#36251C212yesmaximal, complemented
25#36235C212yesmaximal, complemented
26#36160C212yesmaximal, complemented
27#36102C211yesmaximal, characteristic, complemented
28C4×#560C211yesmaximal, characteristic, complemented
29#34342C212yesmaximal, complemented
30C2×#560C2211yescharacteristic
31C2×#555C2212yes—
32C2×#555C2211yescharacteristic, complemented
33C2×#547C2211yescharacteristic
34C2×#525C2212yes—
35C22×C4×D4C2211yescharacteristic, complemented
36C22×#117C2211yescharacteristic, complemented
37#2866C2214yescomplemented
38#2865C2214yescomplemented
39#2862C2211yescharacteristic, complemented
40#2860C2212yescomplemented
41#2858C2214yescomplemented
42#2857C2212yescomplemented
43#2856C2212yescomplemented
44#2854C2211yescharacteristic, complemented
45#2854C2212yescomplemented
46#2854C2214yescomplemented
47#2853C2212yescomplemented
48#2851C2212yescomplemented
49#2850C2214yescomplemented
50#2850C2212yescomplemented
51#2849C2212yescomplemented
52#2847C2212yes—
53#2847C2214yes—
54#2847C2211yescharacteristic, complemented
55#2841C2212yescomplemented
56#2832C2214yescomplemented
57#2830C2214yescomplemented
58#2829C2214yescomplemented
59#2828C2214yes—
60#2828C2212yescomplemented
61#2825C2214yescomplemented
62#2824C2212yes—
63#2813C2214yes—
64#2808C2214yescomplemented
65#2803C2214yescomplemented
66#2800C2214yescomplemented
67#2798C2214yescomplemented
68#2797C2214yescomplemented
69#2795C2212yescomplemented
70#2786C2214yescomplemented
71#2786C2214yescomplemented
72#2779C2214yescomplemented
73#2778C2214yescomplemented
74#2774C2214yescomplemented
75#2759C2214yescomplemented
76#2753C2214yes—
77#2745C2214yescomplemented
78#2740C2214yescomplemented
79#2731C2214yescomplemented
80#2730C2214yescomplemented
81#2729C2214yescomplemented
82#2716C2214yescomplemented
83#2715C2214yescomplemented
84#2714C2214yes—
85#2710C2214yescomplemented
86#2710C2214yescomplemented
87#2709C2214yescomplemented
88#2708C2214yescomplemented
89#2703C2214yescomplemented
90#2702C2214yescomplemented
91#2701C2214yescomplemented
92#2696C2214yes—
93#2696C2214yescomplemented
94#2688C2214yescomplemented
95#2686C2214yescomplemented
96#2685C2214yescomplemented
97#2684C2214yes—
98#2683C2212yes—
99#2679C2212yes—
100#2678C2214yes—
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2677C2212yescomplemented
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2673C2214yes—
107#2671C2214yescomplemented
108#2670C2212yes—
109#2669C2212yes—
110#2669C2214yes—
111#2669C2214yescomplemented
112#2610C2214yescomplemented
113#2610C2214yescomplemented
114#2610C2214yescomplemented
115#2609C2214yescomplemented
116#2597C2214yescomplemented
117#2576C2214yescomplemented
118#2570C2212yescomplemented
119#2563C2211yescharacteristic
120#2563C2212yescomplemented
121#2562C2212yes—
122#2557C2214yescomplemented
123#2557C2214yescomplemented
124#2555C2214yescomplemented
125#2555C2214yescomplemented
126#2554C2214yescomplemented
127#2553C2214yescomplemented
128#2551C2212yescomplemented
129#2547C2211yescharacteristic, complemented
130#2541C2212yes—
131#2537C2212yes—
132#2535C2212yescomplemented
133#2535C2212yescomplemented
134#2531C2214yescomplemented
135#2530C2214yescomplemented
136#2530C2214yescomplemented
137#2528C2214yescomplemented
138#2526C2214yes—
139#2526C2214yescomplemented
140#2518C2214yescomplemented
141#2516C2214yescomplemented
142#2513C2212yescomplemented
143#2509C2212yescomplemented
144#2507C2212yescomplemented
145#2504C2211yescharacteristic, complemented
146#2500C2212yes—
147#2499C2212yescomplemented
148#2497C2212yescomplemented
149#2497C2212yescomplemented
150#2494C2212yescomplemented
151#2491C2212yes—
152#2491C2214yescomplemented
153#2491C2212yescomplemented
154#2490C2212yes—
155#2490C2212yes—
156#2487C2211yescharacteristic
157#2485C2212yescomplemented
158#2485C2214yescomplemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2477C2214yescomplemented
162#2476C2214yes—
163#2476C2214yescomplemented
164#2476C2214yescomplemented
165#2474C2214yescomplemented
166#2472C2214yes—
167#2472C2214yescomplemented
168#2472C2214yescomplemented
169#2471C2214yes—
170#2471C2214yescomplemented
171#2470C2214yescomplemented
172#2467C2214yescomplemented
173#2463C2214yescomplemented
174#2459C2214yes—
175#2459C2214yescomplemented
176#2457C2214yescomplemented
177#2456C2214yes—
178#2454C2212yescomplemented
179#2452C2212yescomplemented
180#2445C2212yescomplemented
181#2441C2212yescomplemented
182#2440C2212yescomplemented
183#2439C2212yescomplemented
184#2439C2212yescomplemented
185#2433C2211yescharacteristic, complemented
186#2431C2212yes—
187#2428C2212yes—
188#2428C2212yes—
189#2428C2214yescomplemented
190#2424C2214yescomplemented
191#2422C2212yescomplemented
192#2420C2212yes—
193#2420C2212yescomplemented
194#2416C2212yes—
195#2414C2214yes—
196#2414C2212yes—
197#2414C2212yes—
198#2414C2212yes—
199#2414C2212yescomplemented
200#2414C2212yescomplemented
201#2411C2212yescomplemented
202#2411C2212yescomplemented
203#2408C2211yescharacteristic
204#2408C2212yes—
205#2408C2212yescomplemented
206#2404C2212yes—
207#2404C2212yes—
208#2383C2212yescomplemented
209#2380C2211yescharacteristic
210#2378C2214yescomplemented
211#2378C2214yescomplemented
212#2377C2212yes—
213#2377C2212yes—
214#2377C2214yescomplemented
215#2377C2214yescomplemented
216#2377C2212yescomplemented
217#2376C2211yescharacteristic
218#2376C2212yes—
219#2376C2212yescomplemented
220#2376C2214yescomplemented
221#2375C2212yes—
222#2375C2212yes—
223#2375C2211yescharacteristic
224#2375C2212yescomplemented
225#2375C2214yescomplemented
226#2370C2212yescomplemented
227#2366C2212yescomplemented
228#2363C2212yes—
229#2363C2212yescomplemented
230#2363C2212yescomplemented
231#2361C2212yes—
232#2354C2212yescomplemented
233#2354C2212yescomplemented
234#2352C2212yes—
235#2352C2212yescomplemented
236#2352C2212yescomplemented
237#2346C2212yescomplemented
238#2344C2211yescharacteristic, complemented
239#2344C2211yescharacteristic, complemented
240C4×#127C2211yescharacteristic
241C4×#126C2212yescomplemented
242C4×#123C2211yescharacteristic
243C4×#123C2212yescomplemented
244C4×#121C2212yes—
245C4×#121C2212yes—
246C4×#121C2212yescomplemented
247C4×#120C2211yescharacteristic
248C4×#120C2212yescomplemented
249#2298C2214yescomplemented
250#2297C2212yes—
251#2297C2212yes—
252#2293C2214yescomplemented
253#2293C2214yescomplemented
254#2290C2214yescomplemented
255#2290C2214yescomplemented
256#2280C2214yescomplemented
257C42×D4C2211yescharacteristic, complemented
258C4×#117C2212yescomplemented
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C24×C4C2312yes—
262C24×C4C2311yescharacteristic
263#560—28no—
264#555—48no—
265#555—44no—
266#547—44no—
267C2×C4⋊Q8C2311yescharacteristic
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2314yes—
271C2×#127C2311yescharacteristic
272C2×#127C2312yes—
273C2×#127C2314yes—
274C2×#126C2312yes—
275C2×#126C2314yes—
276C2×#125C2312yes—
277C2×#124C2314yes—
278C2×#124C2314yes—
279C2×#124C2314yes—
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×#124C2314yes—
283#525—216no—
284C2×#123C2312yes—
285C2×#123C2312yes—
286C2×#123C2312yes—
287C2×#123C2312yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2311yescharacteristic
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2314yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2314yes—
304C2×#121C2312yes—
305C2×#121C2311yescharacteristic
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2311yescharacteristic
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#120C2312yes—
317C2×#120C2311yescharacteristic
318C2×#120C2312yes—
319C2×#120C2312yes—
320C2×#120C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323C2×#120C2312yes—
324C2×#120C2312yes—
325C2×C4×D4—44no—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2314yes—
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×#117—44no—
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2314yes—
345C2×#117C2314yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2314yes—
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C42C2312yes—
357C22×C42C2312yes—
358C22×C42C2311yescharacteristic
359C22×C42C2312yes—
360#401C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2312yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#399C2314yes—
369#399C2312yes—
370#399C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#396C2314yes—
391#396C2314yes—
392#396C2314yes—
393#396C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#395C2314yes—
399#395C2314yes—
400#395C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2312yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#393C2312yes—
430#393C2312yes—
431#393C2314yes—
432#393C2314yes—
433#393C2314yes—
434#393C2314yes—
435#393C2314yes—
436#393C2314yes—
437#393C2314yes—
438#392C2312yes—
439#392C2314yes—
440#392C2314yes—
441#392C2314yes—
442#392C2314yes—
443#392C2314yes—
444#392C2314yes—
445#392C2314yes—
446#392C2314yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#391C2312yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2314yes—
458#391C2314yes—
459#391C2312yes—
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2312yes—
463#390C2312yes—
464#390C2312yes—
465#390C2312yes—
466#390C2312yes—
467#390C2314yes—
468#390C2312yes—
469#390C2314yes—
470#390C2314yes—
471#390C2312yes—
472#390C2314yes—
473#390C2312yes—
474#390C2312yes—
475#390C2314yes—
476#390C2314yes—
477#390C2312yes—
478#390C2314yes—
479#390C2314yes—
480#390C2314yes—
481#390C2314yes—
482#390C2314yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2314yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2314yes—
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#388C2312yes—
511#388C2312yes—
512#388C2312yes—
513#388C2314yes—
514#388C2314yes—
515#388C2312yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2312yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2312yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#386C2314yes—
591#386C2312yes—
592#386C2312yes—
593#386C2312yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2312yes—
610#386C2312yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2314yes—
615#386C2312yes—
616#386C2311yescharacteristic
617#386C2312yes—
618#386C2312yes—
619#386C2314yes—
620#386C2311yescharacteristic
621#386C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2312yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2314yes—
631#386C2312yes—
632#385C2311yescharacteristic
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2312yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2311yescharacteristic
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#384C2311yescharacteristic
648#384C2312yes—
649#384C2312yes—
650#383C2312yes—
651#382C2312yes—
652#382C2312yes—
653#382C2312yes—
654#382C2314yes—
655#382C2312yes—
656#381C2312yes—
657#381C2311yescharacteristic
658#381C2312yes—
659#381C2312yes—
660#381C2314yes—
661#381C2314yes—
662#380C2311yescharacteristic
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2314yes—
668#380C2314yes—
669#380C2314yes—
670#380C2314yes—
671#380C2311yescharacteristic
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#379C2312yes—
683#379C2314yes—
684#379C2314yes—
685#379C2312yes—
686#379C2311yescharacteristic
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715#376C2314yes—
716#376C2314yes—
717C43C2311yescharacteristic
718C43C2314yes—
719C25C2411yescharacteristic
720C25C2412yes—
721C2×#41—28no—
722C2×#41—44no—
723C2×#41—82no—
724C22×Q8C2412yes—
725C22×Q8C2414yes—
726C22×Q8C2412yes—
727C22×D4—42no—
728C22×D4—44no—
729C22×D4C2411yescharacteristic
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2414yes—
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2414yes—
737C22×D4C2412yes—
738C22×D4C2411yescharacteristic
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2411yescharacteristic
750C23×C4—28no—
751C23×C4—42no—
752C23×C4—44no—
753C23×C4—44no—
754C23×C4—82no—
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2414yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764C23×C4C2412yes—
765C23×C4C2411yescharacteristic
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2414yes—
769C23×C4C2412yes—
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C4⋊Q8—42no—
773C4⋊Q8—44no—
774C4⋊Q8—42no—
775C4⋊Q8—84no—
776#127—24no—
777#127—44no—
778#127—84no—
779#126—28no—
780#126—84no—
781#125—44no—
782#124—48no—
783#124—48no—
784#124—48no—
785#124—82no—
786#124—84no—
787#124—84no—
788#123—28no—
789#123—28no—
790#123—44no—
791#123—44no—
792#123—84no—
793#123—84no—
794#123—84no—
795#123#4118yes—
796C22⋊Q8—216no—
797C22⋊Q8—44no—
798C22⋊Q8—84no—
799C22⋊Q8—84no—
800#121—28no—
801#121—28no—
802#121—216no—
803#121—28no—
804#121—48no—
805#121—44no—
806#121—44no—
807#121—44no—
808#121—44no—
809#121—44no—
810#121—42no—
811#121—42no—
812#121—44no—
813#121—44no—
814#121—44no—
815#121—84no—
816#121—84no—
817#121—84no—
818#121—84no—
819#121—84no—
820#120—28no—
821#120—24no—
822#120—28no—
823#120—28no—
824#120—82no—
825#120—82no—
826#120—84no—
827#120—84no—
828#120—84no—
829C4×D4—216no—
830C4×D4—28no—
831C4×D4—24no—
832C4×D4—216no—
833C4×D4—44no—
834C4×D4—44no—
835C4×D4—44no—
836C4×D4—44no—
837C4×D4—44no—
838C4×D4—44no—
839C4×D4—42no—
840C4×D4—44no—
841C4×D4—42no—
842C4×D4—48no—
843#117—28no—
844#117—28no—
845#117—28no—
846#117—48no—
847#117—44no—
848#117—48no—
849#117—44no—
850#117—44no—
851#117—84no—
852#117—82no—
853C2×C4⋊C4—24no—
854C2×C4⋊C4—24no—
855C2×C4⋊C4—42no—
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C22⋊C4—44no—
900C2×C22⋊C4—44no—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2411yescharacteristic
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2411yescharacteristic
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2411yescharacteristic
925C2×C22⋊C4C2411yescharacteristic
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2411yescharacteristic
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2412yes—
972C2×C42—44no—
973C2×C42—42no—
974C2×C42—44no—
975C2×C42—82no—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2414yes—
979C2×C42C2411yescharacteristic
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2411yescharacteristic
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2414yes—
988C2×C42C2414yes—
989C2×C42C2412yes—
990C2×C42C2414yes—
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2414yes—
994C2×C42C2412yes—
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997#95C2412yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048C24—22no—
1049C24—24no—
1050C24—41no—
1051C24—42no—
1052C24—42no—
1053C24—44no—
1054C24—44no—
1055C24—41no—
1056C24—42no—
1057C24—42no—
1058C24C2512yes—
1059C24C2514yes—
1060C24C2512yes—
1061C24C2512yes—
1062C24C2511yescharacteristic
1063C24C2511yescharacteristic
1064#41—816no—
1065C2×Q8—24no—
1066C2×Q8—42no—
1067C2×Q8—42no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—44no—
1071C2×Q8—42no—
1072C2×Q8—44no—
1073C2×D4—28no—
1074C2×D4—24no—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—24no—
1079C2×D4—28no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—22no—
1083C2×D4—24no—
1084C2×D4—22no—
1085C2×D4—24no—
1086C2×D4—24no—
1087C2×D4—24no—
1088C2×D4—42no—
1089C2×D4—41no—
1090C2×D4—44no—
1091C2×D4—41no—
1092C2×D4—42no—
1093C2×D4—41no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—44no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—44no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—44no—
1109C2×D4—41no—
1110C2×D4—44no—
1111C2×D4—42no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—416no—
1134C2×D4C2×#4114yes—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—28no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—22no—
1141C22×C4—24no—
1142C22×C4—22no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—28no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—28no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—44no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—41no—
1165C22×C4—42no—
1166C22×C4—41no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—416no—
1181C22×C4—816no—
1182C22×C4C2×#4114yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2514yes—
1192C22×C4C2514yes—
1193C22×C4C2514yes—
1194C22×C4C2514yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C4⋊C4—28no—
1207C4⋊C4—28no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—22no—
1211C4⋊C4—24no—
1212C4⋊C4—22no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—41no—
1222C4⋊C4—44no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—41no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4C2×#4118yes—
1248C4⋊C4H(5,𝔽2)14yes—
1249C22⋊C4—24no—
1250C22⋊C4—22no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—24no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—24no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—24no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—41no—
1269C22⋊C4—42no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—44no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—41no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
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—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4C2×#4114yes—
1319C22⋊C4C2×#4118yes—
1320C42—28no—
1321C42—22no—
1322C42—28no—
1323C42—24no—
1324C42—28no—
1325C42—22no—
1326C42—24no—
1327C42—24no—
1328C42—24no—
1329C42—42no—
1330C42—42no—
1331C42—44no—
1332C42—42no—
1333C42—41no—
1334C42—44no—
1335C42—42no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—42no—
1340C42—44no—
1341C23—21no—
1342C23—21no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—21no—
1347C23—22no—
1348C23—21no—
1349C23—22no—
1350C23—24no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—24no—
1357C23—22no—
1358C23—24no—
1359C23—24no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—24no—
1364C23—24no—
1365C23—22no—
1366C23—24no—
1367C23—22no—
1368C23—24no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—24no—
1373C23—22no—
1374C23—22no—
1375C23—44no—
1376C23—48no—
1377C23—84no—
1378C23—82no—
1379C23—84no—
1380C23—88no—
1381C23—84no—
1382C23—88no—
1383C23—82no—
1384C23—84no—
1385C23C22×#4112yes—
1386C23C22×#4112yes—
1387C23C2611yescharacteristic
1388Q8—84no—
1389Q8—164no—
1390Q8—162no—
1391D4—44no—
1392D4—48no—
1393D4—44no—
1394D4—48no—
1395D4—84no—
1396D4—82no—
1397D4—84no—
1398D4—88no—
1399D4—84no—
1400D4—88no—
1401D4—84no—
1402D4—84no—
1403D4—84no—
1404D4—84no—
1405D4—164no—
1406D4—164no—
1407D4—164no—
1408D4—164no—
1409D4—164no—
1410D4—164no—
1411D4—164no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—21no—
1430C2×C4—24no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—44no—
1472C2×C4—416no—
1473C2×C4—48no—
1474C2×C4—48no—
1475C2×C4—48no—
1476C2×C4—44no—
1477C2×C4—48no—
1478C2×C4—48no—
1479C2×C4—44no—
1480C2×C4—48no—
1481C2×C4—44no—
1482C2×C4—84no—
1483C2×C4—88no—
1484C2×C4—84no—
1485C2×C4—88no—
1486C2×C4—84no—
1487C2×C4—82no—
1488C2×C4C22×#4114yes—
1489C2×C4C22×#4112yes—
1490C2×C4C22×#4114yes—
1491C2×C4C2×H(5,𝔽2)14yes—
1492C2×C4C2×H(5,𝔽2)12yes—
1493C2×C4#58514yes—
1494C22—22no—
1495C22—22no—
1496C22—24no—
1497C22—24no—
1498C22—42no—
1499C22—42no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—44no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—44no—
1511C22—44no—
1512C22—42no—
1513C22—42no—
1514C22—44no—
1515C22—44no—
1516C22—42no—
1517C22—44no—
1518C22—42no—
1519C22—42no—
1520C22—44no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—44no—
1526C22—42no—
1527C22—42no—
1528C22—44no—
1529C22—42no—
1530C22—88no—
1531C22—816no—
1532C22C23×#4111yescharacteristic
1533C22C22×H(5,𝔽2)11yescharacteristic
1534C22C2×#58512yes—
1535C22H(7,𝔽2)11yescharacteristic
1536C22H(7,𝔽2)12yes—
1537C4—24no—
1538C4—24no—
1539C4—22no—
1540C4—24no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—44no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—44no—
1549C4—42no—
1550C4—44no—
1551C4—44no—
1552C4—42no—
1553C4—44no—
1554C4—41no—
1555C4—42no—
1556C4—42no—
1557C4—41no—
1558C4—41no—
1559C4#352914yes—
1560C2—42no—
1561C2—42no—
1562C2—82no—
1563C2—82no—
1564C2—84no—
1565C2—82no—
1566C2C2×#352911yescharacteristic
1567C2#6298311yescharacteristic
1568C2#6299412yes—
1569C2#6305112yes—
1570C2#6306611yescharacteristic
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. #46338C2semidirect
2. #46287C2semidirect
3. #46062C2semidirect
4. #46036C2semidirect
5. #45967C2semidirect
6. #45836C2semidirect
7. #45824C2semidirect
8. #45741C2semidirect
9. #45720C2semidirect
10. #45655C2semidirect
11. #45645C2semidirect
12. #45602C2semidirect
13. #45600C2semidirect
14. #45572C2semidirect
15. #45514C2semidirect
16. #45502C2semidirect
17. #45468C2semidirect
18. #45452C2semidirect
19. #36426C2semidirect
20. #36417C2semidirect
21. #36415C2semidirect
22. #36297C2semidirect
23. #36273C2semidirect
24. #36251C2semidirect
25. #36235C2semidirect
26. #36160C2semidirect
27. #36102C2semidirect
28. C4×#560C2semidirect
29. #34342C2semidirect
32. C2×#555C22semidirect
35. C22×C4×D4C22semidirect
36. C22×#117C22semidirect
37. #2866C22semidirect
38. #2865C22semidirect
39. #2862C22semidirect
40. #2860C22semidirect
41. #2858C22semidirect
42. #2857C22semidirect
43. #2856C22semidirect
44. #2854C22semidirect
45. #2854C22semidirect
46. #2854C22semidirect
47. #2853C22semidirect
48. #2851C22semidirect
49. #2850C22semidirect
50. #2850C22semidirect
51. #2849C22semidirect
54. #2847C22semidirect
55. #2841C22semidirect
56. #2832C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
60. #2828C22semidirect
61. #2825C22semidirect
64. #2808C22semidirect
65. #2803C22semidirect
66. #2800C22semidirect
67. #2798C22semidirect
68. #2797C22semidirect
69. #2795C22semidirect
70. #2786C22semidirect
71. #2786C22semidirect
72. #2779C22semidirect
73. #2778C22semidirect
74. #2774C22semidirect
75. #2759C22semidirect
77. #2745C22semidirect
78. #2740C22semidirect
79. #2731C22semidirect
80. #2730C22semidirect
81. #2729C22semidirect
82. #2716C22semidirect
83. #2715C22semidirect
85. #2710C22semidirect
86. #2710C22semidirect
87. #2709C22semidirect
88. #2708C22semidirect
89. #2703C22semidirect
90. #2702C22semidirect
91. #2701C22semidirect
93. #2696C22semidirect
94. #2688C22semidirect
95. #2686C22semidirect
96. #2685C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2677C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
107. #2671C22semidirect
111. #2669C22semidirect
112. #2610C22semidirect
113. #2610C22semidirect
114. #2610C22semidirect
115. #2609C22semidirect
116. #2597C22semidirect
117. #2576C22semidirect
118. #2570C22semidirect
120. #2563C22semidirect
122. #2557C22semidirect
123. #2557C22semidirect
124. #2555C22semidirect
125. #2555C22semidirect
126. #2554C22semidirect
127. #2553C22semidirect
128. #2551C22semidirect
129. #2547C22semidirect
132. #2535C22semidirect
133. #2535C22semidirect
134. #2531C22semidirect
135. #2530C22semidirect
136. #2530C22semidirect
137. #2528C22semidirect
139. #2526C22semidirect
140. #2518C22semidirect
141. #2516C22semidirect
142. #2513C22semidirect
143. #2509C22semidirect
144. #2507C22semidirect
145. #2504C22semidirect
147. #2499C22semidirect
148. #2497C22semidirect
149. #2497C22semidirect
150. #2494C22semidirect
152. #2491C22semidirect
153. #2491C22semidirect
157. #2485C22semidirect
158. #2485C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2477C22semidirect
163. #2476C22semidirect
164. #2476C22semidirect
165. #2474C22semidirect
167. #2472C22semidirect
168. #2472C22semidirect
170. #2471C22semidirect
171. #2470C22semidirect
172. #2467C22semidirect
173. #2463C22semidirect
175. #2459C22semidirect
176. #2457C22semidirect
178. #2454C22semidirect
179. #2452C22semidirect
180. #2445C22semidirect
181. #2441C22semidirect
182. #2440C22semidirect
183. #2439C22semidirect
184. #2439C22semidirect
185. #2433C22semidirect
189. #2428C22semidirect
190. #2424C22semidirect
191. #2422C22semidirect
193. #2420C22semidirect
199. #2414C22semidirect
200. #2414C22semidirect
201. #2411C22semidirect
202. #2411C22semidirect
205. #2408C22semidirect
208. #2383C22semidirect
210. #2378C22semidirect
211. #2378C22semidirect
214. #2377C22semidirect
215. #2377C22semidirect
216. #2377C22semidirect
219. #2376C22semidirect
220. #2376C22semidirect
224. #2375C22semidirect
225. #2375C22semidirect
226. #2370C22semidirect
227. #2366C22semidirect
229. #2363C22semidirect
230. #2363C22semidirect
232. #2354C22semidirect
233. #2354C22semidirect
235. #2352C22semidirect
236. #2352C22semidirect
237. #2346C22semidirect
238. #2344C22semidirect
239. #2344C22semidirect
241. C4×#126C22semidirect
243. C4×#123C22semidirect
246. C4×#121C22semidirect
248. C4×#120C22semidirect
249. #2298C22semidirect
252. #2293C22semidirect
253. #2293C22semidirect
254. #2290C22semidirect
255. #2290C22semidirect
256. #2280C22semidirect
257. C42×D4C22semidirect
258. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#463382
#462872
#460622
#460362
#459672
#458362
#458242
#457412
#457202
#456552
#456452
#456022
#456002
#455722
#455142
#455022
#454682
#454522
#364262
#364172
#364152
#362972
#362732
#362512
#362352
#361602
#361022
C4×#5602
#343422