Finite Group Databasebeta

← #7655967

Subgroups — #7655967

Order 512.

5086 conjugacy classes of subgroups.

The subgroup lattice has 1547 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42759C212yesmaximal, complemented
2#42756C212yesmaximal, complemented
3#42754C212yesmaximal, complemented
4#42752C212yesmaximal, complemented
5#41875C214yesmaximal, complemented
6#41871C214yesmaximal, complemented
7#41867C214yesmaximal, complemented
8#41863C214yesmaximal, complemented
9#39423C212yesmaximal, complemented
10#39415C212yesmaximal, complemented
11#39368C211yesmaximal, characteristic, complemented
12#39359C211yesmaximal, characteristic, complemented
13#38905C212yesmaximal, complemented
14#38247C214yesmaximal, complemented
15#37496C214yesmaximal, complemented
16#37494C212yesmaximal, complemented
17#36580C211yesmaximal, characteristic, complemented
18#36579C211yesmaximal, characteristic, complemented
19#36235C212yesmaximal, complemented
20#36051C212yesmaximal, complemented
21#36028C212yesmaximal, complemented
22#36006C212yesmaximal, complemented
23#35900C212yesmaximal, complemented
24#35158C212yesmaximal, complemented
25#35005C211yesmaximal, characteristic, complemented
26#34584C212yesmaximal, complemented
27#34570C211yesmaximal, characteristic, complemented
28#34298C212yesmaximal, complemented
29C2×#2362C211yesmaximal, characteristic, complemented
30C2×#559C2211yescharacteristic, complemented
31C2×#556C2211yescharacteristic, complemented
32C2×#555C2212yes—
33C2×#547C2212yes—
34C2×#544C2212yes—
35C2×#538C2212yes—
36C2×#537C2212yes—
37C22×C22⋊Q8C2211yescharacteristic
38C22×C4×Q8C2211yescharacteristic
39C22×#117C2211yescharacteristic
40#2857C2211yescharacteristic
41#2856C2211yescharacteristic
42#2850C2214yes—
43#2850C2212yes—
44#2850C2212yes—
45#2847C2212yes—
46#2832C2214yes—
47#2832C2214yescomplemented
48#2831C2214yes—
49#2831C2214yescomplemented
50#2829C2214yes—
51#2828C2214yes—
52#2799C2214yescomplemented
53#2798C2214yescomplemented
54#2797C2214yescomplemented
55#2786C2214yescomplemented
56#2748C2214yescomplemented
57#2747C2214yescomplemented
58#2745C2214yescomplemented
59#2743C2214yescomplemented
60#2734C2212yescomplemented
61#2731C2214yes—
62#2726C2212yescomplemented
63#2716C2214yes—
64#2713C2214yescomplemented
65#2711C2214yes—
66#2707C2214yes—
67#2703C2214yes—
68#2702C2214yes—
69#2700C2214yes—
70#2699C2214yes—
71#2696C2214yes—
72#2696C2214yes—
73#2692C2214yes—
74#2692C2214yes—
75#2683C2212yescomplemented
76#2682C2212yescomplemented
77#2681C2214yescomplemented
78#2665C2214yescomplemented
79#2662C2214yes—
80#2661C2214yes—
81#2655C2214yescomplemented
82#2654C2214yescomplemented
83#2653C2214yes—
84#2653C2212yes—
85#2653C2214yes—
86#2653C2214yescomplemented
87#2652C2212yes—
88#2651C2214yescomplemented
89#2650C2214yes—
90#2650C2214yescomplemented
91#2649C2214yes—
92#2649C2212yes—
93#2648C2214yes—
94#2648C2214yes—
95#2648C2212yes—
96#2646C2211yescharacteristic
97#2645C2212yescomplemented
98#2643C2212yes—
99#2643C2214yes—
100#2640C2212yescomplemented
101#2639C2211yescharacteristic
102#2639C2212yes—
103#2639C2214yes—
104#2627C2212yes—
105#2626C2211yescharacteristic
106#2625C2212yescomplemented
107#2623C2214yes—
108#2622C2212yes—
109#2620C2212yescomplemented
110#2618C2212yes—
111#2617C2211yescharacteristic
112#2617C2212yes—
113#2610C2214yes—
114#2609C2214yes—
115#2601C2214yescomplemented
116#2597C2214yes—
117#2595C2214yes—
118#2592C2212yescomplemented
119#2592C2212yescomplemented
120#2582C2211yescharacteristic, complemented
121#2581C2212yescomplemented
122#2580C2212yescomplemented
123#2568C2211yescharacteristic, complemented
124#2560C2214yes—
125#2559C2214yes—
126#2559C2214yes—
127#2558C2214yes—
128#2557C2214yes—
129#2557C2214yes—
130#2557C2214yescomplemented
131#2555C2214yes—
132#2551C2212yescomplemented
133#2548C2211yescharacteristic, complemented
134#2546C2212yescomplemented
135#2545C2214yes—
136#2543C2214yes—
137#2540C2212yes—
138#2540C2212yes—
139#2538C2211yescharacteristic, complemented
140#2530C2214yescomplemented
141#2527C2214yescomplemented
142#2521C2214yescomplemented
143#2520C2214yescomplemented
144#2519C2214yes—
145#2511C2212yescomplemented
146#2506C2212yescomplemented
147#2506C2212yescomplemented
148#2505C2214yescomplemented
149#2500C2212yes—
150#2498C2214yescomplemented
151#2496C2212yes—
152#2492C2212yes—
153#2492C2212yes—
154#2492C2214yescomplemented
155#2492C2214yescomplemented
156#2492C2212yescomplemented
157#2491C2212yes—
158#2491C2214yes—
159#2491C2214yescomplemented
160#2491C2214yescomplemented
161#2490C2214yescomplemented
162#2490C2214yescomplemented
163#2489C2214yescomplemented
164#2489C2214yescomplemented
165#2488C2214yes—
166#2485C2212yes—
167#2481C2214yes—
168#2476C2214yes—
169#2474C2214yes—
170#2472C2214yes—
171#2469C2214yescomplemented
172#2458C2214yescomplemented
173#2452C2212yescomplemented
174#2450C2214yes—
175#2448C2212yescomplemented
176#2447C2212yescomplemented
177#2444C2214yes—
178#2443C2214yes—
179#2440C2212yes—
180#2440C2212yescomplemented
181#2439C2212yes—
182#2438C2214yes—
183#2436C2212yes—
184#2430C2214yes—
185#2428C2212yes—
186#2428C2212yescomplemented
187#2427C2212yes—
188#2427C2212yes—
189#2427C2212yescomplemented
190#2424C2214yes—
191#2422C2212yes—
192#2421C2212yescomplemented
193#2417C2212yes—
194#2417C2212yes—
195#2416C2212yes—
196#2416C2212yescomplemented
197#2414C2212yes—
198#2411C2214yes—
199#2409C2212yes—
200#2404C2214yes—
201#2402C2214yescomplemented
202#2401C2212yes—
203#2401C2214yescomplemented
204#2398C2212yes—
205#2396C2214yescomplemented
206#2395C2212yes—
207#2395C2214yescomplemented
208#2392C2212yes—
209#2374C2214yescomplemented
210#2369C2212yescomplemented
211#2368C2214yescomplemented
212#2367C2212yescomplemented
213#2363C2212yes—
214#2363C2212yescomplemented
215#2362C2212yes—
216#2362C2212yes—
217#2362C2212yes—
218#2362C2214yes—
219#2362C2214yes—
220#2362C2212yes—
221#2362C2212yescomplemented
222#2361C2212yes—
223#2359C2214yes—
224#2357C2212yescomplemented
225#2355C2211yescharacteristic, complemented
226#2355C2211yescharacteristic, complemented
227#2354C2212yes—
228#2352C2212yes—
229#2346C2212yes—
230#2345C2212yescomplemented
231#2344C2212yes—
232#2339C2214yes—
233#2335C2214yescomplemented
234#2332C2214yescomplemented
235#2331C2212yescomplemented
236#2325C2212yes—
237#2324C2212yescomplemented
238#2311C2214yes—
239C4×C22⋊Q8C2211yescharacteristic
240C4×C22⋊Q8C2212yes—
241C4×#123C2214yes—
242C4×#121C2211yescharacteristic
243C4×#121C2212yes—
244C4×#121C2212yes—
245C4×#120C2212yes—
246#2297C2214yes—
247C2×#391C2211yescharacteristic
248C2×#389C2211yescharacteristic
249#2290C2212yes—
250#2290C2214yes—
251C2×#388C2212yes—
252C2×#388C2212yes—
253C2×#387C2212yes—
254#2275C2212yescomplemented
255#2274C2212yescomplemented
256C2×C4×C4⋊C4C2212yes—
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2314yes—
260C23×Q8C2311yescharacteristic
261C24×C4C2311yescharacteristic
262#559—44no—
263#556—44no—
264#555—48no—
265#547—216no—
266#544—48no—
267#538—48no—
268#537—48no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2314yes—
273C2×C4⋊Q8C2314yes—
274C2×#127C2311yescharacteristic
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#125C2314yes—
278C2×#125C2314yes—
279C2×#124C2312yes—
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×#124C2312yes—
283C2×#124C2312yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×C22⋊Q8—28no—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2311yescharacteristic
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2314yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2311yescharacteristic
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#121C2312yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#120C2314yes—
316C2×#120C2312yes—
317C2×C4×Q8—44no—
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2311yescharacteristic
320C2×C4×Q8C2311yescharacteristic
321C2×C4×Q8C2312yes—
322C2×C4×Q8C2312yes—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2311yescharacteristic
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2312yes—
336C2×#117—44no—
337C2×#117C2312yes—
338C2×#117C2312yes—
339C2×#117C2314yes—
340C2×#117C2312yes—
341C2×#117C2314yes—
342C2×#117C2314yes—
343C2×#117C2312yes—
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2312yes—
355C22×C42C2312yes—
356C22×C42C2312yes—
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2312yes—
360#401C2314yes—
361#401C2312yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2312yes—
378#400C2312yes—
379#400C2312yes—
380#400C2312yes—
381#400C2312yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2312yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2312yes—
397#398C2312yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2312yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2312yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2312yes—
420#397C2312yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2312yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2312yes—
432#396C2312yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#394C2312yes—
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2312yes—
472#393C2314yes—
473#393C2312yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#386C2314yes—
603#386C2312yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2312yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2314yes—
644#384C2311yescharacteristic
645#384C2311yescharacteristic
646#384C2312yes—
647#382C2312yes—
648#382C2312yes—
649#382C2312yes—
650#382C2314yes—
651#381C2314yes—
652#381C2314yes—
653#381C2314yes—
654#380C2314yes—
655#380C2314yes—
656#380C2314yes—
657#380C2314yes—
658#380C2312yes—
659#380C2312yes—
660#380C2314yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2311yescharacteristic
666#380C2311yescharacteristic
667#380C2314yes—
668#379C2312yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2311yescharacteristic
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713#376C2312yes—
714#376C2314yes—
715C2×#95C2311yescharacteristic
716C2×#95C2312yes—
717C2×#95C2314yes—
718C2×#95C2311yescharacteristic
719C2×#95C2312yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C25C2411yescharacteristic
723C2×#41—216no—
724C2×#41—48no—
725C2×#41—48no—
726C22×Q8—24no—
727C22×Q8—42no—
728C22×Q8—42no—
729C22×Q8C2411yescharacteristic
730C22×Q8C2411yescharacteristic
731C22×Q8C2412yes—
732C22×Q8C2412yes—
733C22×Q8C2411yescharacteristic
734C22×Q8C2414yes—
735C22×Q8C2414yes—
736C22×D4C2412yes—
737C22×D4C2414yes—
738C22×D4C2412yes—
739C22×D4C2411yescharacteristic
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C23×C4—24no—
749C23×C4—42no—
750C23×C4—42no—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2411yescharacteristic
756C23×C4C2412yes—
757C23×C4C2411yescharacteristic
758C23×C4C2412yes—
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2414yes—
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2411yescharacteristic
768C4⋊Q8—28no—
769C4⋊Q8—44no—
770C4⋊Q8—42no—
771C4⋊Q8—48no—
772C4⋊Q8—48no—
773#127—42no—
774#126—48no—
775#126—48no—
776#125—48no—
777#125—48no—
778#124—48no—
779#124—48no—
780#124—44no—
781#124—44no—
782#124—44no—
783#124—44no—
784#124—48no—
785#123—216no—
786#123—216no—
787#123—48no—
788#123—48no—
789C22⋊Q8—28no—
790C22⋊Q8—24no—
791C22⋊Q8—28no—
792C22⋊Q8—28no—
793C22⋊Q8—216no—
794C22⋊Q8—216no—
795C22⋊Q8—48no—
796C22⋊Q8—48no—
797C22⋊Q8—48no—
798C22⋊Q8—44no—
799C22⋊Q8—44no—
800#121—28no—
801#121—24no—
802#121—28no—
803#121—28no—
804#121—48no—
805#121—48no—
806#121—48no—
807#121—48no—
808#121—44no—
809#121—44no—
810#121—44no—
811#121—44no—
812#121—48no—
813#120—44no—
814#120—48no—
815C4×Q8—24no—
816C4×Q8—24no—
817C4×Q8—44no—
818C4×Q8—42no—
819C4×Q8—44no—
820C4×Q8—44no—
821C4×Q8—42no—
822C4×Q8—42no—
823C4×D4—28no—
824C4×D4—28no—
825C4×D4—28no—
826C4×D4—44no—
827C4×D4—44no—
828C4×D4—44no—
829C4×D4—42no—
830C4×D4—44no—
831C4×D4—48no—
832C4×D4—48no—
833#117—28no—
834#117—28no—
835#117—44no—
836#117—48no—
837#117—48no—
838#117—48no—
839#117—44no—
840C2×C4⋊C4—28no—
841C2×C4⋊C4—28no—
842C2×C4⋊C4—28no—
843C2×C4⋊C4—24no—
844C2×C4⋊C4—42no—
845C2×C4⋊C4—44no—
846C2×C4⋊C4#4118yes—
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C22⋊C4—28no—
902C2×C22⋊C4—24no—
903C2×C22⋊C4—44no—
904C2×C22⋊C4—42no—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C42—44no—
961C2×C42—44no—
962C2×C42—42no—
963C2×C42—42no—
964C2×C42—44no—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2412yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2412yes—
972C2×C42C2411yescharacteristic
973C2×C42C2412yes—
974C2×C42C2411yescharacteristic
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2414yes—
979C2×C42C2414yes—
980C2×C42C2411yescharacteristic
981C2×C42C2411yescharacteristic
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2414yes—
985C2×C42C2414yes—
986C2×C42C2412yes—
987C2×C42C2414yes—
988#95C2412yes—
989#95C2414yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—41no—
1052C24—41no—
1053C24—41no—
1054C24—41no—
1055C24C2512yes—
1056C24C2514yes—
1057C24C2512yes—
1058C24C2511yescharacteristic
1059#41—832no—
1060C2×Q8—24no—
1061C2×Q8—22no—
1062C2×Q8—22no—
1063C2×Q8—28no—
1064C2×Q8—22no—
1065C2×Q8—22no—
1066C2×Q8—24no—
1067C2×Q8—22no—
1068C2×Q8—22no—
1069C2×Q8—22no—
1070C2×Q8—42no—
1071C2×Q8—42no—
1072C2×Q8—41no—
1073C2×Q8—42no—
1074C2×Q8—44no—
1075C2×Q8—41no—
1076C2×Q8—42no—
1077C2×Q8—44no—
1078C2×Q8—44no—
1079C2×Q8—44no—
1080C2×Q8—44no—
1081C2×Q8—416no—
1082C2×D4—24no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—24no—
1086C2×D4—28no—
1087C2×D4—24no—
1088C2×D4—24no—
1089C2×D4—28no—
1090C2×D4—24no—
1091C2×D4—22no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—42no—
1095C2×D4—41no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—44no—
1101C2×D4—42no—
1102C2×D4—41no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—44no—
1115C2×D4—42no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—24no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—24no—
1126C22×C4—22no—
1127C22×C4—24no—
1128C22×C4—22no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—28no—
1138C22×C4—28no—
1139C22×C4—28no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—42no—
1143C22×C4—41no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—41no—
1147C22×C4—42no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—42no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—416no—
1167C22×C4C2×#4118yes—
1168C22×C4C2×#4114yes—
1169C22×C4H(5,𝔽2)14yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2511yescharacteristic
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2514yes—
1181C22×C4C2514yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2514yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2514yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2514yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C4⋊C4—24no—
1196C4⋊C4—28no—
1197C4⋊C4—28no—
1198C4⋊C4—28no—
1199C4⋊C4—24no—
1200C4⋊C4—28no—
1201C4⋊C4—24no—
1202C4⋊C4—22no—
1203C4⋊C4—28no—
1204C4⋊C4—28no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—22no—
1210C4⋊C4—24no—
1211C4⋊C4—28no—
1212C4⋊C4—24no—
1213C4⋊C4—22no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—44no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—42no—
1233C4⋊C4—44no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4C2×#4118yes—
1247C4⋊C4C2×#4118yes—
1248C4⋊C4H(5,𝔽2)14yes—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—28no—
1252C22⋊C4—24no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—24no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—28no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—24no—
1265C22⋊C4—28no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—44no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—42no—
1274C22⋊C4—44no—
1275C22⋊C4—42no—
1276C22⋊C4—44no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
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—44no—
1303C22⋊C4—44no—
1304C42—24no—
1305C42—28no—
1306C42—24no—
1307C42—22no—
1308C42—24no—
1309C42—22no—
1310C42—28no—
1311C42—24no—
1312C42—24no—
1313C42—24no—
1314C42—44no—
1315C42—44no—
1316C42—42no—
1317C42—44no—
1318C42—41no—
1319C42—42no—
1320C42—41no—
1321C42—42no—
1322C42—44no—
1323C42—44no—
1324C42—44no—
1325C42—44no—
1326C42—44no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—22no—
1332C23—24no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—24no—
1338C23—22no—
1339C23—24no—
1340C23—22no—
1341C23—24no—
1342C23—22no—
1343C23—24no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—24no—
1348C23—24no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—82no—
1356C23—82no—
1357C23—82no—
1358C23—82no—
1359C23C22×#4112yes—
1360C23C2×H(5,𝔽2)12yes—
1361C23#58512yes—
1362C23C2611yescharacteristic
1363Q8—48no—
1364Q8—44no—
1365Q8—44no—
1366Q8—82no—
1367Q8—84no—
1368Q8—88no—
1369Q8—164no—
1370D4—416no—
1371D4—48no—
1372D4—48no—
1373D4—84no—
1374D4—82no—
1375D4—88no—
1376D4—84no—
1377D4—84no—
1378D4—164no—
1379D4—164no—
1380D4—162no—
1381D4—164no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—24no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—24no—
1388C2×C4—21no—
1389C2×C4—22no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—216no—
1393C2×C4—28no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—24no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—44no—
1452C2×C4—48no—
1453C2×C4—48no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—48no—
1457C2×C4—48no—
1458C2×C4—48no—
1459C2×C4—88no—
1460C2×C4—88no—
1461C2×C4—88no—
1462C2×C4—84no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—164no—
1466C2×C4C22×#4112yes—
1467C2×C4C22×#4118yes—
1468C2×C4C22×#4112yes—
1469C2×C4C2×H(5,𝔽2)14yes—
1470C2×C4C2×H(5,𝔽2)12yes—
1471C2×C4C2×H(5,𝔽2)12yes—
1472C2×C4C2×H(5,𝔽2)12yes—
1473C2×C4#58512yes—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—42no—
1481C22—44no—
1482C22—42no—
1483C22—44no—
1484C22—42no—
1485C22—42no—
1486C22—42no—
1487C22—44no—
1488C22—42no—
1489C22—44no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—44no—
1495C22—44no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—44no—
1501C22—88no—
1502C22#351414yes—
1503C22C23×#4111yescharacteristic
1504C22C22×H(5,𝔽2)11yescharacteristic
1505C22C22×H(5,𝔽2)11yescharacteristic
1506C22C2×#58511yescharacteristic
1507C22C2×#58511yescharacteristic
1508C222−1+611yescharacteristic
1509C222−1+611yescharacteristic
1510C4—28no—
1511C4—22no—
1512C4—22no—
1513C4—24no—
1514C4—22no—
1515C4—42no—
1516C4—44no—
1517C4—42no—
1518C4—44no—
1519C4—44no—
1520C4—42no—
1521C4—42no—
1522C4—41no—
1523C4—42no—
1524C4—41no—
1525C4—42no—
1526C4—42no—
1527C4—42no—
1528C4—42no—
1529C4—44no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4#346014yes—
1535C2—24no—
1536C2—82no—
1537C2—84no—
1538C2—82no—
1539C2C2×#346011yescharacteristic
1540C2C2×#351411yescharacteristic
1541C2#6285011yescharacteristic
1542C2#6289511yescharacteristic
1543C2#6289811yescharacteristic
1544C2#6290711yescharacteristic
1545C2#6293111yescharacteristic
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. #42759C2semidirect
2. #42756C2semidirect
3. #42754C2semidirect
4. #42752C2semidirect
5. #41875C2semidirect
6. #41871C2semidirect
7. #41867C2semidirect
8. #41863C2semidirect
9. #39423C2semidirect
10. #39415C2semidirect
11. #39368C2semidirect
12. #39359C2semidirect
13. #38905C2semidirect
14. #38247C2semidirect
15. #37496C2semidirect
16. #37494C2semidirect
17. #36580C2semidirect
18. #36579C2semidirect
19. #36235C2semidirect
20. #36051C2semidirect
21. #36028C2semidirect
22. #36006C2semidirect
23. #35900C2semidirect
24. #35158C2semidirect
25. #35005C2semidirect
26. #34584C2semidirect
27. #34570C2semidirect
28. #34298C2semidirect
29. C2×#2362C2semidirect
30. C2×#559C22semidirect
31. C2×#556C22semidirect
47. #2832C22semidirect
49. #2831C22semidirect
52. #2799C22semidirect
53. #2798C22semidirect
54. #2797C22semidirect
55. #2786C22semidirect
56. #2748C22semidirect
57. #2747C22semidirect
58. #2745C22semidirect
59. #2743C22semidirect
60. #2734C22semidirect
62. #2726C22semidirect
64. #2713C22semidirect
75. #2683C22semidirect
76. #2682C22semidirect
77. #2681C22semidirect
78. #2665C22semidirect
81. #2655C22semidirect
82. #2654C22semidirect
86. #2653C22semidirect
88. #2651C22semidirect
90. #2650C22semidirect
97. #2645C22semidirect
100. #2640C22semidirect
106. #2625C22semidirect
109. #2620C22semidirect
115. #2601C22semidirect
118. #2592C22semidirect
119. #2592C22semidirect
120. #2582C22semidirect
121. #2581C22semidirect
122. #2580C22semidirect
123. #2568C22semidirect
130. #2557C22semidirect
132. #2551C22semidirect
133. #2548C22semidirect
134. #2546C22semidirect
139. #2538C22semidirect
140. #2530C22semidirect
141. #2527C22semidirect
142. #2521C22semidirect
143. #2520C22semidirect
145. #2511C22semidirect
146. #2506C22semidirect
147. #2506C22semidirect
148. #2505C22semidirect
150. #2498C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2489C22semidirect
164. #2489C22semidirect
171. #2469C22semidirect
172. #2458C22semidirect
173. #2452C22semidirect
175. #2448C22semidirect
176. #2447C22semidirect
180. #2440C22semidirect
186. #2428C22semidirect
189. #2427C22semidirect
192. #2421C22semidirect
196. #2416C22semidirect
201. #2402C22semidirect
203. #2401C22semidirect
205. #2396C22semidirect
207. #2395C22semidirect
209. #2374C22semidirect
210. #2369C22semidirect
211. #2368C22semidirect
212. #2367C22semidirect
214. #2363C22semidirect
221. #2362C22semidirect
224. #2357C22semidirect
225. #2355C22semidirect
226. #2355C22semidirect
230. #2345C22semidirect
233. #2335C22semidirect
234. #2332C22semidirect
235. #2331C22semidirect
237. #2324C22semidirect
254. #2275C22semidirect
255. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#427592
#427562
#427542
#427522
#418752
#418712
#418672
#418632
#394232
#394152
#393682
#393592
#389052
#382472
#374962
#374942
#365802
#365792
#362352
#360512
#360282
#360062
#359002
#351582
#350052
#345842
#345702
#342982
C2×#23622