Finite Group Databasebeta

← #8701278

Subgroups — #8701278

Order 512.

4810 conjugacy classes of subgroups.

The subgroup lattice has 1510 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59989C212yesmaximal, complemented
2#59810C212yesmaximal, complemented
3#59278C212yesmaximal, complemented
4#59233C212yesmaximal, complemented
5#58961C212yesmaximal, complemented
6#57418C214yesmaximal, complemented
7#54805C212yesmaximal, complemented
8#53979C214yesmaximal, complemented
9#52292C211yesmaximal, characteristic, complemented
10#51575C214yesmaximal, complemented
11#49585C214yesmaximal, complemented
12#48638C214yesmaximal, complemented
13#45601C212yesmaximal, complemented
14#45478C211yesmaximal, characteristic, complemented
15#45433C211yesmaximal, characteristic, complemented
16#45047C211yesmaximal, characteristic, complemented
17#45001C212yesmaximal, complemented
18#44893C212yesmaximal, complemented
19#42964C211yesmaximal, characteristic, complemented
20#42885C211yesmaximal, characteristic, complemented
21#42712C212yesmaximal, complemented
22#42588C212yesmaximal, complemented
23#40006C212yesmaximal, complemented
24#39479C212yesmaximal, complemented
25#39403C212yesmaximal, complemented
26#37421C212yesmaximal, complemented
27#36800C214yesmaximal, complemented
28#36427C211yesmaximal, characteristic, complemented
29#36235C212yesmaximal, complemented
30C2×#560C2212yes—
31C2×#555C2212yes—
32C2×#552C2211yescharacteristic
33C2×#550C2211yescharacteristic, complemented
34C2×#544C2211yescharacteristic, complemented
35C2×#542C2214yes—
36C22×#117C2211yescharacteristic
37#2857C2212yescomplemented
38#2853C2212yes—
39#2850C2214yes—
40#2848C2211yescharacteristic
41#2847C2212yes—
42#2829C2214yes—
43#2824C2214yes—
44#2824C2214yes—
45#2822C2212yescomplemented
46#2818C2212yescomplemented
47#2812C2212yes—
48#2807C2211yescharacteristic
49#2804C2214yes—
50#2804C2212yescomplemented
51#2796C2212yes—
52#2795C2214yescomplemented
53#2789C2214yescomplemented
54#2785C2214yes—
55#2785C2214yescomplemented
56#2782C2214yes—
57#2780C2212yes—
58#2778C2212yes—
59#2778C2214yescomplemented
60#2775C2214yes—
61#2761C2214yes—
62#2759C2214yes—
63#2756C2214yes—
64#2754C2214yes—
65#2754C2214yescomplemented
66#2754C2214yescomplemented
67#2753C2214yes—
68#2752C2212yescomplemented
69#2751C2214yescomplemented
70#2746C2212yes—
71#2746C2214yescomplemented
72#2735C2211yescharacteristic
73#2731C2214yes—
74#2730C2214yescomplemented
75#2716C2214yes—
76#2716C2214yescomplemented
77#2715C2214yescomplemented
78#2714C2214yes—
79#2712C2212yes—
80#2712C2214yes—
81#2712C2212yes—
82#2711C2214yes—
83#2711C2214yescomplemented
84#2710C2214yes—
85#2710C2214yescomplemented
86#2709C2212yes—
87#2702C2214yes—
88#2702C2214yescomplemented
89#2702C2214yescomplemented
90#2702C2214yescomplemented
91#2702C2214yescomplemented
92#2700C2214yes—
93#2698C2214yescomplemented
94#2693C2211yescharacteristic
95#2693C2212yes—
96#2693C2214yes—
97#2691C2214yes—
98#2691C2214yes—
99#2688C2212yes—
100#2688C2214yes—
101#2686C2214yes—
102#2686C2214yescomplemented
103#2684C2214yes—
104#2680C2214yes—
105#2678C2212yes—
106#2676C2214yes—
107#2676C2214yes—
108#2673C2214yes—
109#2673C2214yes—
110#2670C2214yes—
111#2668C2211yescharacteristic
112#2660C2212yescomplemented
113#2653C2214yes—
114#2653C2214yescomplemented
115#2648C2214yescomplemented
116#2641C2211yescharacteristic, complemented
117#2639C2214yes—
118#2638C2214yescomplemented
119#2636C2212yescomplemented
120#2625C2211yescharacteristic, complemented
121#2624C2214yes—
122#2621C2212yes—
123#2620C2214yes—
124#2619C2212yes—
125#2611C2212yes—
126#2610C2214yes—
127#2610C2214yes—
128#2610C2214yescomplemented
129#2609C2214yes—
130#2609C2214yescomplemented
131#2607C2212yescomplemented
132#2605C2214yescomplemented
133#2598C2212yes—
134#2598C2214yes—
135#2593C2212yescomplemented
136#2587C2214yescomplemented
137#2576C2214yes—
138#2568C2214yescomplemented
139#2566C2212yescomplemented
140#2563C2212yes—
141#2563C2214yescomplemented
142#2563C2212yescomplemented
143#2562C2212yes—
144#2562C2211yescharacteristic, complemented
145#2559C2214yes—
146#2557C2214yes—
147#2555C2214yes—
148#2552C2212yescomplemented
149#2551C2212yescomplemented
150#2547C2212yes—
151#2545C2214yescomplemented
152#2544C2214yes—
153#2544C2214yescomplemented
154#2543C2214yes—
155#2541C2211yescharacteristic
156#2537C2212yes—
157#2533C2214yescomplemented
158#2517C2212yes—
159#2515C2214yescomplemented
160#2514C2212yescomplemented
161#2512C2214yes—
162#2512C2212yescomplemented
163#2511C2212yescomplemented
164#2509C2214yescomplemented
165#2505C2214yescomplemented
166#2505C2214yescomplemented
167#2502C2211yescharacteristic
168#2502C2211yescharacteristic, complemented
169#2500C2212yes—
170#2496C2212yes—
171#2496C2212yescomplemented
172#2492C2212yes—
173#2492C2212yes—
174#2491C2212yes—
175#2491C2212yes—
176#2491C2214yes—
177#2491C2212yescomplemented
178#2491C2212yescomplemented
179#2490C2212yes—
180#2489C2212yes—
181#2487C2211yescharacteristic
182#2486C2211yescharacteristic
183#2485C2212yes—
184#2485C2212yescomplemented
185#2482C2212yes—
186#2479C2214yes—
187#2477C2214yescomplemented
188#2476C2214yes—
189#2476C2214yescomplemented
190#2475C2214yes—
191#2475C2214yescomplemented
192#2474C2214yes—
193#2472C2214yes—
194#2470C2214yes—
195#2470C2214yescomplemented
196#2469C2214yes—
197#2465C2214yescomplemented
198#2459C2214yes—
199#2455C2212yes—
200#2452C2212yescomplemented
201#2451C2212yescomplemented
202#2445C2212yescomplemented
203#2441C2212yes—
204#2441C2212yescomplemented
205#2440C2212yes—
206#2439C2212yes—
207#2428C2212yes—
208#2426C2214yes—
209#2424C2214yes—
210#2422C2212yes—
211#2416C2212yes—
212#2416C2212yes—
213#2415C2212yes—
214#2414C2214yes—
215#2414C2212yes—
216#2414C2212yescomplemented
217#2411C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2212yescomplemented
222#2401C2212yes—
223#2397C2211yescharacteristic
224#2395C2211yescharacteristic
225#2392C2212yes—
226#2379C2214yes—
227#2369C2212yescomplemented
228#2365C2212yescomplemented
229#2363C2212yes—
230#2362C2212yes—
231#2361C2212yes—
232#2359C2214yes—
233#2359C2214yescomplemented
234#2354C2212yes—
235#2354C2212yes—
236#2354C2212yescomplemented
237#2352C2212yes—
238#2352C2212yescomplemented
239#2346C2212yes—
240#2346C2214yescomplemented
241#2346C2211yescharacteristic, complemented
242#2344C2211yescharacteristic
243#2339C2212yescomplemented
244#2337C2214yescomplemented
245#2331C2212yescomplemented
246#2324C2212yescomplemented
247#2320C2211yescharacteristic, complemented
248#2314C2214yescomplemented
249C4×#123C2212yes—
250C4×#121C2212yes—
251C4×#121C2212yes—
252C4×#121C2212yescomplemented
253C4×#120C2212yes—
254C4×#120C2211yescharacteristic
255#2297C2212yescomplemented
256#2296C2212yes—
257#2290C2214yes—
258#2285C2212yescomplemented
259C22×#41C2312yes—
260C24×C4C2311yescharacteristic
261#560—48no—
262#555—48no—
263#552—44no—
264#550—44no—
265#544—44no—
266#542—416no—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2314yes—
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2312yes—
272C2×#127C2312yes—
273C2×#127C2311yescharacteristic
274C2×#127C2312yes—
275C2×#126C2312yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#126C2314yes—
279C2×#125C2312yes—
280C2×#125C2311yescharacteristic
281C2×#125C2312yes—
282C2×#125C2312yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#123C2314yes—
291C2×#123C2312yes—
292C2×#123C2312yes—
293C2×#123C2314yes—
294C2×#123C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2314yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#120C2311yescharacteristic
316C2×#120C2314yes—
317C2×#120C2312yes—
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2314yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×#117—44no—
333C2×#117C2312yes—
334C2×#117C2312yes—
335C2×#117C2311yescharacteristic
336C2×#117C2314yes—
337C2×#117C2311yescharacteristic
338C2×#117C2312yes—
339C2×#117C2314yes—
340C2×#117C2312yes—
341C2×#117C2314yes—
342C2×#117C2314yes—
343C2×#117C2312yes—
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C22⋊C4C2312yes—
348C22×C42C2312yes—
349C22×C42C2312yes—
350#401C2314yes—
351#401C2312yes—
352#400C2314yes—
353#400C2312yes—
354#400C2311yescharacteristic
355#400C2312yes—
356#400C2314yes—
357#400C2312yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2312yes—
365#400C2312yes—
366#400C2314yes—
367#400C2312yes—
368#399C2314yes—
369#399C2311yescharacteristic
370#399C2314yes—
371#399C2311yescharacteristic
372#399C2312yes—
373#399C2311yescharacteristic
374#399C2312yes—
375#398C2314yes—
376#398C2312yes—
377#398C2314yes—
378#398C2312yes—
379#398C2314yes—
380#398C2314yes—
381#398C2312yes—
382#398C2311yescharacteristic
383#398C2314yes—
384#398C2312yes—
385#398C2312yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2312yes—
391#397C2314yes—
392#397C2314yes—
393#397C2312yes—
394#397C2311yescharacteristic
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2312yes—
399#397C2312yes—
400#397C2312yes—
401#397C2312yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2312yes—
414#396C2314yes—
415#396C2312yes—
416#396C2312yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2314yes—
421#394C2314yes—
422#394C2312yes—
423#394C2314yes—
424#394C2312yes—
425#394C2314yes—
426#394C2312yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2312yes—
446#394C2314yes—
447#394C2312yes—
448#394C2314yes—
449#394C2312yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#392C2311yescharacteristic
467#392C2314yes—
468#392C2312yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2312yes—
474#392C2314yes—
475#392C2311yescharacteristic
476#392C2312yes—
477#392C2312yes—
478#392C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#390C2314yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2314yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2312yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
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#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
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#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
593#386C2312yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2311yescharacteristic
608#386C2312yes—
609#386C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2312yes—
615#386C2314yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2312yes—
623#386C2312yes—
624#386C2312yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2312yes—
633#385C2314yes—
634#385C2312yes—
635#385C2314yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2311yescharacteristic
646#385C2312yes—
647#385C2312yes—
648#384C2312yes—
649#384C2314yes—
650#384C2312yes—
651#384C2312yes—
652#383C2312yes—
653#383C2314yes—
654#382C2314yes—
655#382C2312yes—
656#382C2314yes—
657#382C2314yes—
658#382C2312yes—
659#382C2312yes—
660#382C2314yes—
661#382C2314yes—
662#381C2314yes—
663#381C2312yes—
664#381C2312yes—
665#381C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2311yescharacteristic
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2312yes—
681#380C2314yes—
682#380C2312yes—
683#380C2311yescharacteristic
684#379C2312yes—
685#379C2311yescharacteristic
686#379C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2311yescharacteristic
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715#376C2311yescharacteristic
716#376C2314yes—
717#376C2312yes—
718C2×#95C2314yes—
719C25C2411yescharacteristic
720C2×#41—44no—
721C2×#41—44no—
722C2×#41—44no—
723C22×Q8C2411yescharacteristic
724C22×Q8C2414yes—
725C22×Q8C2414yes—
726C22×Q8C2414yes—
727C22×D4C2412yes—
728C22×D4C2412yes—
729C22×D4C2412yes—
730C22×D4C2414yes—
731C22×D4C2412yes—
732C22×D4C2411yescharacteristic
733C22×D4C2414yes—
734C22×D4C2412yes—
735C22×D4C2411yescharacteristic
736C22×D4C2412yes—
737C22×D4C2412yes—
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C23×C4—42no—
744C23×C4—44no—
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2412yes—
751C23×C4C2414yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2414yes—
757C23×C4C2414yes—
758C23×C4C2411yescharacteristic
759C4⋊Q8—28no—
760C4⋊Q8—44no—
761C4⋊Q8—44no—
762C4⋊Q8—48no—
763C4⋊Q8—44no—
764#127—44no—
765#127—42no—
766#127—44no—
767#126—44no—
768#126—48no—
769#126—48no—
770#126—48no—
771#125—44no—
772#125—44no—
773#125—44no—
774#125—42no—
775#124—48no—
776#124—48no—
777#124—48no—
778#124—48no—
779#124—48no—
780#124—48no—
781#124—48no—
782#123—28no—
783#123—216no—
784#123—48no—
785#123—44no—
786#123—44no—
787C22⋊Q8—48no—
788C22⋊Q8—48no—
789C22⋊Q8—48no—
790C22⋊Q8—48no—
791C22⋊Q8—44no—
792C22⋊Q8—42no—
793C22⋊Q8—42no—
794#121—28no—
795#121—48no—
796#121—44no—
797#121—48no—
798#121—48no—
799#121—48no—
800#121—44no—
801#121—44no—
802#121—44no—
803#121—44no—
804#121—44no—
805#121—48no—
806#121—48no—
807#120—24no—
808#120—44no—
809#120—48no—
810C4×Q8—24no—
811C4×Q8—48no—
812C4×D4—48no—
813C4×D4—44no—
814C4×D4—44no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—44no—
819C4×D4—44no—
820C4×D4—48no—
821C4×D4—42no—
822C4×D4—42no—
823C4×D4—44no—
824#117—28no—
825#117—24no—
826#117—28no—
827#117—48no—
828#117—42no—
829#117—44no—
830#117—48no—
831#117—48no—
832#117—48no—
833#117—44no—
834#117—44no—
835C2×C4⋊C4—24no—
836C2×C4⋊C4—42no—
837C2×C4⋊C4—42no—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C22⋊C4—44no—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2411yescharacteristic
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2411yescharacteristic
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2411yescharacteristic
955C2×C42—44no—
956C2×C42—44no—
957C2×C42C2414yes—
958C2×C42C2414yes—
959C2×C42C2412yes—
960C2×C42C2412yes—
961C2×C42C2414yes—
962C2×C42C2412yes—
963C2×C42C2414yes—
964C2×C42C2411yescharacteristic
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2412yes—
968C2×C42C2414yes—
969C2×C42C2414yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2412yes—
974C2×C42C2412yes—
975C2×C42C2412yes—
976#95C2412yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2412yes—
981#95C2414yes—
982#95C2411yescharacteristic
983#95C2412yes—
984#95C2414yes—
985#95C2411yescharacteristic
986#95C2411yescharacteristic
987#95C2414yes—
988#95C2412yes—
989#95C2412yes—
990#95C2412yes—
991#95C2411yescharacteristic
992#95C2412yes—
993#95C2414yes—
994#95C2412yes—
995#95C2412yes—
996#95C2414yes—
997#95C2414yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035C24—22no—
1036C24—41no—
1037C24—42no—
1038C24—42no—
1039C24—41no—
1040C24C2512yes—
1041C24C2511yescharacteristic
1042C24C2512yes—
1043C24C2514yes—
1044C24C2511yescharacteristic
1045#41—816no—
1046C2×Q8—22no—
1047C2×Q8—28no—
1048C2×Q8—24no—
1049C2×Q8—44no—
1050C2×Q8—44no—
1051C2×Q8—44no—
1052C2×Q8—44no—
1053C2×Q8—44no—
1054C2×Q8—44no—
1055C2×Q8—44no—
1056C2×Q8—44no—
1057C2×D4—22no—
1058C2×D4—28no—
1059C2×D4—24no—
1060C2×D4—24no—
1061C2×D4—24no—
1062C2×D4—28no—
1063C2×D4—24no—
1064C2×D4—24no—
1065C2×D4—24no—
1066C2×D4—42no—
1067C2×D4—44no—
1068C2×D4—41no—
1069C2×D4—42no—
1070C2×D4—41no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—44no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—44no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—44no—
1083C2×D4—42no—
1084C2×D4—44no—
1085C2×D4—42no—
1086C2×D4—44no—
1087C2×D4—42no—
1088C2×D4—41no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—42no—
1103C22×C4—24no—
1104C22×C4—24no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—28no—
1118C22×C4—41no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—42no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—416no—
1142C22×C4C2512yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2514yes—
1149C22×C4C2511yescharacteristic
1150C22×C4C2512yes—
1151C22×C4C2514yes—
1152C22×C4C2512yes—
1153C22×C4C2511yescharacteristic
1154C22×C4C2514yes—
1155C22×C4C2514yes—
1156C22×C4C2511yescharacteristic
1157C22×C4C2514yes—
1158C22×C4C2512yes—
1159C22×C4C2511yescharacteristic
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2511yescharacteristic
1166C4⋊C4—22no—
1167C4⋊C4—24no—
1168C4⋊C4—24no—
1169C4⋊C4—24no—
1170C4⋊C4—28no—
1171C4⋊C4—22no—
1172C4⋊C4—28no—
1173C4⋊C4—24no—
1174C4⋊C4—24no—
1175C4⋊C4—28no—
1176C4⋊C4—28no—
1177C4⋊C4—24no—
1178C4⋊C4—24no—
1179C4⋊C4—24no—
1180C4⋊C4—24no—
1181C4⋊C4—24no—
1182C4⋊C4—24no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—44no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—41no—
1194C4⋊C4—42no—
1195C4⋊C4—41no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—44no—
1201C4⋊C4—41no—
1202C4⋊C4—44no—
1203C4⋊C4—41no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—42no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—42no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4H(5,𝔽2)14yes—
1217C22⋊C4—24no—
1218C22⋊C4—28no—
1219C22⋊C4—24no—
1220C22⋊C4—28no—
1221C22⋊C4—24no—
1222C22⋊C4—28no—
1223C22⋊C4—24no—
1224C22⋊C4—28no—
1225C22⋊C4—24no—
1226C22⋊C4—28no—
1227C22⋊C4—24no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—28no—
1231C22⋊C4—44no—
1232C22⋊C4—41no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—42no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—41no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—44no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—44no—
1256C22⋊C4—42no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—41no—
1260C22⋊C4—42no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—42no—
1264C22⋊C4—44no—
1265C22⋊C4—42no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—42no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4H(5,𝔽2)14yes—
1282C42—28no—
1283C42—24no—
1284C42—28no—
1285C42—24no—
1286C42—24no—
1287C42—22no—
1288C42—24no—
1289C42—24no—
1290C42—28no—
1291C42—28no—
1292C42—24no—
1293C42—42no—
1294C42—42no—
1295C42—44no—
1296C42—44no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C42—42no—
1301C23—21no—
1302C23—22no—
1303C23—22no—
1304C23—21no—
1305C23—21no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—24no—
1310C23—24no—
1311C23—22no—
1312C23—21no—
1313C23—24no—
1314C23—24no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—24no—
1323C23—24no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—24no—
1328C23—22no—
1329C23—21no—
1330C23—22no—
1331C23—44no—
1332C23—84no—
1333C23—82no—
1334C23—82no—
1335C23—84no—
1336C23C2×H(5,𝔽2)12yes—
1337C23C2611yescharacteristic
1338Q8—44no—
1339Q8—88no—
1340Q8—164no—
1341Q8—164no—
1342D4—48no—
1343D4—84no—
1344D4—84no—
1345D4—88no—
1346D4—88no—
1347D4—84no—
1348D4—82no—
1349D4—84no—
1350D4—84no—
1351D4—82no—
1352D4—84no—
1353D4—88no—
1354D4—164no—
1355D4—164no—
1356D4—164no—
1357D4—162no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—21no—
1365C2×C4—22no—
1366C2×C4—21no—
1367C2×C4—24no—
1368C2×C4—24no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—21no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—21no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—22no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—21no—
1419C2×C4—48no—
1420C2×C4—48no—
1421C2×C4—44no—
1422C2×C4—48no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—48no—
1426C2×C4—48no—
1427C2×C4—88no—
1428C2×C4—84no—
1429C2×C4—84no—
1430C2×C4—88no—
1431C2×C4—88no—
1432C2×C4—162no—
1433C2×C4C2×H(5,𝔽2)14yes—
1434C2×C4C2×H(5,𝔽2)14yes—
1435C2×C4C2×H(5,𝔽2)12yes—
1436C2×C4#58514yes—
1437C2×C4#58514yes—
1438C22—24no—
1439C22—22no—
1440C22—41no—
1441C22—41no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—41no—
1446C22—44no—
1447C22—44no—
1448C22—42no—
1449C22—42no—
1450C22—41no—
1451C22—42no—
1452C22—44no—
1453C22—42no—
1454C22—42no—
1455C22—44no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—44no—
1463C22—44no—
1464C22—42no—
1465C22—41no—
1466C22—42no—
1467C22—44no—
1468C22—42no—
1469C22—88no—
1470C22C22×H(5,𝔽2)11yescharacteristic
1471C22C22×H(5,𝔽2)11yescharacteristic
1472C22C2×#58512yes—
1473C22C2×#58512yes—
1474C222−1+611yescharacteristic
1475C4—24no—
1476C4—24no—
1477C4—24no—
1478C4—41no—
1479C4—42no—
1480C4—41no—
1481C4—42no—
1482C4—42no—
1483C4—42no—
1484C4—44no—
1485C4—42no—
1486C4—41no—
1487C4—44no—
1488C4—42no—
1489C4—44no—
1490C4—42no—
1491C4—44no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—44no—
1496C4—41no—
1497C4—42no—
1498C4#354014yes—
1499C2—42no—
1500C2—82no—
1501C2—81no—
1502C2—84no—
1503C2—82no—
1504C2C2×#354011yescharacteristic
1505C2#6290712yes—
1506C2#6291411yescharacteristic
1507C2#6302211yescharacteristic
1508C2#6302412yes—
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. #59989C2semidirect
2. #59810C2semidirect
3. #59278C2semidirect
4. #59233C2semidirect
5. #58961C2semidirect
6. #57418C2semidirect
7. #54805C2semidirect
8. #53979C2semidirect
9. #52292C2semidirect
10. #51575C2semidirect
11. #49585C2semidirect
12. #48638C2semidirect
13. #45601C2semidirect
14. #45478C2semidirect
15. #45433C2semidirect
16. #45047C2semidirect
17. #45001C2semidirect
18. #44893C2semidirect
19. #42964C2semidirect
20. #42885C2semidirect
21. #42712C2semidirect
22. #42588C2semidirect
23. #40006C2semidirect
24. #39479C2semidirect
25. #39403C2semidirect
26. #37421C2semidirect
27. #36800C2semidirect
28. #36427C2semidirect
29. #36235C2semidirect
33. C2×#550C22semidirect
34. C2×#544C22semidirect
37. #2857C22semidirect
45. #2822C22semidirect
46. #2818C22semidirect
50. #2804C22semidirect
52. #2795C22semidirect
53. #2789C22semidirect
55. #2785C22semidirect
59. #2778C22semidirect
65. #2754C22semidirect
66. #2754C22semidirect
68. #2752C22semidirect
69. #2751C22semidirect
71. #2746C22semidirect
74. #2730C22semidirect
76. #2716C22semidirect
77. #2715C22semidirect
83. #2711C22semidirect
85. #2710C22semidirect
88. #2702C22semidirect
89. #2702C22semidirect
90. #2702C22semidirect
91. #2702C22semidirect
93. #2698C22semidirect
102. #2686C22semidirect
112. #2660C22semidirect
114. #2653C22semidirect
115. #2648C22semidirect
116. #2641C22semidirect
118. #2638C22semidirect
119. #2636C22semidirect
120. #2625C22semidirect
128. #2610C22semidirect
130. #2609C22semidirect
131. #2607C22semidirect
132. #2605C22semidirect
135. #2593C22semidirect
136. #2587C22semidirect
138. #2568C22semidirect
139. #2566C22semidirect
141. #2563C22semidirect
142. #2563C22semidirect
144. #2562C22semidirect
148. #2552C22semidirect
149. #2551C22semidirect
151. #2545C22semidirect
153. #2544C22semidirect
157. #2533C22semidirect
159. #2515C22semidirect
160. #2514C22semidirect
162. #2512C22semidirect
163. #2511C22semidirect
164. #2509C22semidirect
165. #2505C22semidirect
166. #2505C22semidirect
168. #2502C22semidirect
171. #2496C22semidirect
177. #2491C22semidirect
178. #2491C22semidirect
184. #2485C22semidirect
187. #2477C22semidirect
189. #2476C22semidirect
191. #2475C22semidirect
195. #2470C22semidirect
197. #2465C22semidirect
200. #2452C22semidirect
201. #2451C22semidirect
202. #2445C22semidirect
204. #2441C22semidirect
216. #2414C22semidirect
221. #2407C22semidirect
227. #2369C22semidirect
228. #2365C22semidirect
233. #2359C22semidirect
236. #2354C22semidirect
238. #2352C22semidirect
240. #2346C22semidirect
241. #2346C22semidirect
243. #2339C22semidirect
244. #2337C22semidirect
245. #2331C22semidirect
246. #2324C22semidirect
247. #2320C22semidirect
248. #2314C22semidirect
252. C4×#121C22semidirect
255. #2297C22semidirect
258. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#599892
#598102
#592782
#592332
#589612
#574182
#548052
#539792
#522922
#515752
#495852
#486382
#456012
#454782
#454332
#450472
#450012
#448932
#429642
#428852
#427122
#425882
#400062
#394792
#394032
#374212
#368002
#364272
#362352