Finite Group Databasebeta

← #8418534

Subgroups — #8418534

Order 512.

4554 conjugacy classes of subgroups.

The subgroup lattice has 1457 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58190C214yesmaximal, complemented
2#57722C214yesmaximal, complemented
3#57624C214yesmaximal, complemented
4#57519C214yesmaximal, complemented
5#55492C212yesmaximal, complemented
6#55327C214yesmaximal, complemented
7#53494C212yesmaximal, complemented
8#53112C212yesmaximal, complemented
9#53006C212yesmaximal, complemented
10#52997C212yesmaximal, complemented
11#52547C214yesmaximal, complemented
12#52423C212yesmaximal, complemented
13#45379C212yesmaximal, complemented
14#45367C212yesmaximal, complemented
15#45110C212yesmaximal, complemented
16#44948C212yesmaximal, complemented
17#42955C211yesmaximal, characteristic, complemented
18#42580C212yesmaximal, complemented
19#42538C212yesmaximal, complemented
20#42522C211yesmaximal, characteristic, complemented
21#42495C212yesmaximal, complemented
22#42479C212yesmaximal, complemented
23#38073C212yesmaximal, complemented
24#38056C212yesmaximal, complemented
25#37289C211yesmaximal, characteristic, complemented
26#36691C211yesmaximal, characteristic, complemented
27#35836C211yesmaximal, characteristic, complemented
28#35741C211yesmaximal, characteristic
29#35529C211yesmaximal, characteristic, complemented
30C2×#554C2211yescharacteristic
31C2×#554C2212yescomplemented
32C2×#550C2211yescharacteristic
33C2×#544C2211yescharacteristic
34C2×#518C2211yescharacteristic
35#2854C2212yes—
36#2845C2212yescomplemented
37#2844C2211yescharacteristic, complemented
38#2844C2211yescharacteristic, complemented
39#2843C2211yescharacteristic, complemented
40#2843C2212yescomplemented
41#2843C2212yescomplemented
42#2843C2211yescharacteristic, complemented
43#2841C2212yes—
44#2841C2212yes—
45#2841C2212yes—
46#2841C2212yes—
47#2841C2214yescomplemented
48#2837C2214yescomplemented
49#2837C2214yescomplemented
50#2837C2214yescomplemented
51#2836C2214yescomplemented
52#2827C2214yescomplemented
53#2827C2214yescomplemented
54#2826C2212yes—
55#2826C2214yescomplemented
56#2820C2214yescomplemented
57#2816C2214yescomplemented
58#2814C2214yescomplemented
59#2814C2214yescomplemented
60#2795C2212yescomplemented
61#2795C2212yescomplemented
62#2790C2214yescomplemented
63#2785C2212yescomplemented
64#2782C2212yescomplemented
65#2781C2214yescomplemented
66#2781C2214yescomplemented
67#2772C2214yescomplemented
68#2768C2214yes—
69#2768C2214yescomplemented
70#2763C2212yes—
71#2761C2214yes—
72#2761C2214yescomplemented
73#2756C2214yes—
74#2756C2214yes—
75#2754C2214yescomplemented
76#2753C2214yes—
77#2750C2214yescomplemented
78#2749C2214yes—
79#2749C2214yes—
80#2744C2214yescomplemented
81#2743C2214yes—
82#2742C2212yes—
83#2742C2214yescomplemented
84#2732C2214yes—
85#2729C2214yescomplemented
86#2728C2214yescomplemented
87#2723C2214yescomplemented
88#2720C2214yescomplemented
89#2720C2214yescomplemented
90#2718C2214yescomplemented
91#2717C2214yescomplemented
92#2708C2214yescomplemented
93#2707C2214yescomplemented
94#2706C2214yes—
95#2706C2214yes—
96#2706C2214yescomplemented
97#2702C2214yescomplemented
98#2698C2214yescomplemented
99#2697C2214yes—
100#2696C2214yes—
101#2695C2214yes—
102#2695C2214yescomplemented
103#2694C2214yes—
104#2693C2214yescomplemented
105#2692C2214yes—
106#2692C2214yescomplemented
107#2692C2214yescomplemented
108#2691C2214yescomplemented
109#2687C2214yescomplemented
110#2685C2214yes—
111#2683C2214yescomplemented
112#2683C2214yescomplemented
113#2681C2214yescomplemented
114#2681C2214yescomplemented
115#2680C2214yescomplemented
116#2680C2212yescomplemented
117#2680C2212yescomplemented
118#2672C2214yescomplemented
119#2672C2214yescomplemented
120#2667C2214yescomplemented
121#2666C2214yescomplemented
122#2652C2214yescomplemented
123#2647C2212yescomplemented
124#2644C2212yes—
125#2644C2212yescomplemented
126#2641C2212yes—
127#2637C2214yescomplemented
128#2636C2214yescomplemented
129#2635C2212yes—
130#2630C2214yes—
131#2628C2211yescharacteristic
132#2627C2214yescomplemented
133#2626C2212yes—
134#2619C2211yescharacteristic
135#2618C2214yescomplemented
136#2618C2214yescomplemented
137#2616C2214yescomplemented
138#2584C2212yescomplemented
139#2584C2212yescomplemented
140#2580C2211yescharacteristic
141#2580C2211yescharacteristic
142#2571C2212yescomplemented
143#2570C2212yescomplemented
144#2566C2212yes—
145#2566C2212yes—
146#2566C2212yescomplemented
147#2564C2212yes—
148#2563C2212yes—
149#2554C2214yes—
150#2552C2212yescomplemented
151#2550C2212yescomplemented
152#2550C2212yescomplemented
153#2548C2212yes—
154#2542C2211yescharacteristic
155#2542C2212yes—
156#2541C2211yescharacteristic
157#2539C2212yes—
158#2538C2214yes—
159#2538C2212yes—
160#2538C2212yescomplemented
161#2536C2214yescomplemented
162#2534C2214yes—
163#2534C2214yes—
164#2525C2214yescomplemented
165#2519C2214yescomplemented
166#2515C2214yescomplemented
167#2513C2212yes—
168#2513C2212yes—
169#2513C2212yescomplemented
170#2513C2212yescomplemented
171#2512C2212yes—
172#2512C2212yescomplemented
173#2508C2212yescomplemented
174#2508C2212yescomplemented
175#2508C2212yescomplemented
176#2508C2212yescomplemented
177#2506C2212yescomplemented
178#2500C2212yes—
179#2495C2214yescomplemented
180#2488C2214yescomplemented
181#2487C2212yes—
182#2473C2214yescomplemented
183#2472C2214yes—
184#2464C2214yes—
185#2463C2212yes—
186#2461C2214yes—
187#2458C2214yescomplemented
188#2454C2212yes—
189#2454C2212yes—
190#2454C2212yes—
191#2454C2212yes—
192#2454C2212yescomplemented
193#2454C2212yescomplemented
194#2452C2212yes—
195#2452C2212yes—
196#2452C2212yescomplemented
197#2452C2212yescomplemented
198#2449C2214yes—
199#2449C2214yes—
200#2449C2214yescomplemented
201#2449C2214yescomplemented
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yes—
205#2445C2212yes—
206#2445C2212yes—
207#2445C2212yescomplemented
208#2445C2212yescomplemented
209#2443C2214yescomplemented
210#2442C2212yes—
211#2442C2214yescomplemented
212#2441C2212yes—
213#2437C2214yes—
214#2437C2214yes—
215#2437C2214yes—
216#2433C2212yes—
217#2429C2214yescomplemented
218#2424C2214yes—
219#2421C2214yescomplemented
220#2419C2214yescomplemented
221#2418C2214yes—
222#2417C2214yescomplemented
223#2417C2214yescomplemented
224#2412C2214yes—
225#2412C2214yes—
226#2406C2214yescomplemented
227#2404C2212yes—
228#2402C2212yescomplemented
229#2402C2212yescomplemented
230#2399C2212yescomplemented
231#2399C2212yescomplemented
232#2396C2211yescharacteristic
233#2396C2212yes—
234#2396C2211yescharacteristic
235C2×#399C2212yes—
236#2388C2212yes—
237#2366C2212yes—
238#2366C2212yes—
239#2365C2212yescomplemented
240#2363C2212yes—
241#2361C2212yes—
242#2357C2211yescharacteristic
243#2357C2212yes—
244#2349C2211yescharacteristic
245D4×C4⋊C4C2212yes—
246#2347C2212yes—
247D4×C22⋊C4C2212yes—
248#2330C2212yescomplemented
249#2328C2212yes—
250#2324C2212yes—
251#2319C2212yes—
252#2319C2212yescomplemented
253#2317C2211yescharacteristic
254#2309C2211yescharacteristic
255#2296C2211yescharacteristic
256C2×#390C2211yescharacteristic
257#2285C2211yescharacteristic
258#2283C2212yes—
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261#554—44no—
262#554—48no—
263#550—44no—
264#544—44no—
265C2×C4⋊Q8C2312yes—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2311yescharacteristic
268C2×#127C2312yes—
269C2×#127C2311yescharacteristic
270C2×#127C2312yes—
271C2×#126C2314yes—
272C2×#126C2314yes—
273C2×#125C2312yes—
274C2×#125C2312yes—
275C2×#125C2312yes—
276C2×#125C2312yes—
277C2×#125C2314yes—
278C2×#124C2314yes—
279C2×#123C2314yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2314yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×#121C2312yes—
301C2×#121C2314yes—
302C2×#121C2312yes—
303C2×#121C2314yes—
304C2×#120C2314yes—
305C2×#120C2314yes—
306#518—44no—
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2312yes—
310C2×C4×Q8C2314yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×#117C2311yescharacteristic
326C2×#117C2311yescharacteristic
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2314yes—
331C22×C4⋊C4C2312yes—
332C22×C4⋊C4C2314yes—
333C22×C22⋊C4C2312yes—
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2314yes—
336C22×C22⋊C4C2314yes—
337C22×C42C2311yescharacteristic
338#400C2312yes—
339#400C2314yes—
340#400C2312yes—
341#400C2314yes—
342#400C2311yescharacteristic
343#400C2314yes—
344#400C2312yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2312yes—
350#400C2314yes—
351#400C2312yes—
352#400C2312yes—
353#400C2312yes—
354#400C2312yes—
355#400C2312yes—
356#400C2314yes—
357#400C2312yes—
358#400C2311yescharacteristic
359#399C2314yes—
360#399C2314yes—
361#399C2312yes—
362#399C2312yes—
363#399C2314yes—
364#399C2311yescharacteristic
365#399C2314yes—
366#399C2312yes—
367#399C2314yes—
368#399C2312yes—
369#399C2312yes—
370#399C2311yescharacteristic
371#399C2314yes—
372#399C2312yes—
373#399C2314yes—
374#398C2312yes—
375#398C2314yes—
376#398C2314yes—
377#398C2312yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2312yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2312yes—
386#398C2312yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2312yes—
391#398C2312yes—
392#398C2312yes—
393#398C2312yes—
394#398C2312yes—
395#398C2312yes—
396#398C2312yes—
397#398C2312yes—
398#398C2312yes—
399#398C2312yes—
400#398C2312yes—
401#398C2314yes—
402#398C2312yes—
403#398C2312yes—
404#398C2312yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2311yescharacteristic
451#395C2312yes—
452#395C2314yes—
453#395C2314yes—
454#395C2312yes—
455#395C2312yes—
456#395C2312yes—
457#395C2312yes—
458#395C2312yes—
459#395C2312yes—
460#395C2312yes—
461#395C2311yescharacteristic
462#395C2312yes—
463#395C2312yes—
464#395C2314yes—
465#395C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2312yes—
494#393C2312yes—
495#393C2311yescharacteristic
496#393C2311yescharacteristic
497#393C2312yes—
498#393C2312yes—
499#393C2314yes—
500#392C2312yes—
501#392C2312yes—
502#392C2312yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
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#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2312yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2312yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#384C2311yescharacteristic
643#384C2312yes—
644#384C2312yes—
645#384C2312yes—
646#384C2311yescharacteristic
647#384C2314yes—
648#383C2312yes—
649#383C2312yes—
650#383C2314yes—
651#382C2311yescharacteristic
652#382C2312yes—
653#382C2314yes—
654#382C2311yescharacteristic
655#382C2312yes—
656#382C2311yescharacteristic
657#382C2312yes—
658#382C2314yes—
659#382C2311yescharacteristic
660#382C2312yes—
661#382C2312yes—
662#382C2314yes—
663#382C2314yes—
664#381C2314yes—
665#381C2314yes—
666#381C2312yes—
667#381C2312yes—
668#381C2314yes—
669#381C2312yes—
670#380C2314yes—
671#380C2314yes—
672#380C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#380C2314yes—
687#380C2314yes—
688#379C2314yes—
689#379C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714#376C2312yes—
715#376C2312yes—
716C2×#95C2312yes—
717C25C2412yes—
718C2×#41—44no—
719C2×#41—84no—
720C22×Q8C2414yes—
721C22×Q8C2411yescharacteristic
722C22×Q8C2412yes—
723C22×Q8C2411yescharacteristic
724C22×Q8C2412yes—
725C22×D4—24no—
726C22×D4—24no—
727C22×D4—42no—
728C22×D4C2412yes—
729C22×D4C2411yescharacteristic
730C22×D4C2412yes—
731C22×D4C2411yescharacteristic
732C22×D4C2414yes—
733C22×D4C2414yes—
734C22×D4C2414yes—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2412yes—
738C22×D4C2412yes—
739C23×C4C2411yescharacteristic
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2414yes—
743C23×C4C2412yes—
744C23×C4C2414yes—
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2414yes—
748C23×C4C2412yes—
749C23×C4C2414yes—
750C23×C4C2414yes—
751C4⋊Q8—28no—
752C4⋊Q8—42no—
753C4⋊Q8—44no—
754#127—28no—
755#127—42no—
756#127—44no—
757#126—84no—
758#126—84no—
759#125—28no—
760#125—44no—
761#125—44no—
762#125—44no—
763#125—84no—
764#124—84no—
765#123—84no—
766#123—84no—
767#123—84no—
768#123—84no—
769#123—84no—
770#123—84no—
771#123—84no—
772#123—84no—
773C22⋊Q8—48no—
774C22⋊Q8—48no—
775C22⋊Q8—48no—
776C22⋊Q8—48no—
777C22⋊Q8—44no—
778C22⋊Q8—48no—
779C22⋊Q8—84no—
780C22⋊Q8—84no—
781C22⋊Q8—84no—
782C22⋊Q8—84no—
783C22⋊Q8—84no—
784C22⋊Q8—84no—
785C22⋊Q8—84no—
786#121—28no—
787#121—48no—
788#121—44no—
789#121—84no—
790#120—84no—
791#120—84no—
792C4×Q8—42no—
793C4×Q8—42no—
794C4×Q8—44no—
795C4×Q8—84no—
796C4×D4—28no—
797C4×D4—24no—
798C4×D4—24no—
799C4×D4—28no—
800C4×D4—44no—
801C4×D4—42no—
802C4×D4—42no—
803C4×D4—44no—
804C4×D4—44no—
805C4×D4—44no—
806C4×D4—44no—
807C4×D4—84no—
808C4×D4—84no—
809C4×D4—84no—
810#117—24no—
811#117—24no—
812#117—42no—
813#117—42no—
814C2×C4⋊C4—42no—
815C2×C4⋊C4—44no—
816C2×C4⋊C4—48no—
817C2×C4⋊C4—84no—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2411yescharacteristic
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C22⋊C4—44no—
886C2×C22⋊C4—44no—
887C2×C22⋊C4—84no—
888C2×C22⋊C4—84no—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2411yescharacteristic
897C2×C22⋊C4C2411yescharacteristic
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C42—24no—
942C2×C42C2411yescharacteristic
943C2×C42C2411yescharacteristic
944C2×C42C2412yes—
945C2×C42C2412yes—
946C2×C42C2412yes—
947C2×C42C2412yes—
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2412yes—
951C2×C42C2412yes—
952C2×C42C2411yescharacteristic
953C2×C42C2411yescharacteristic
954C2×C42C2414yes—
955C2×C42C2414yes—
956C2×C42C2414yes—
957C2×C42C2414yes—
958C2×C42C2414yes—
959#95C2411yescharacteristic
960#95C2412yes—
961#95C2414yes—
962#95C2412yes—
963#95C2412yes—
964#95C2412yes—
965#95C2412yes—
966#95C2412yes—
967#95C2412yes—
968#95C2412yes—
969#95C2412yes—
970#95C2412yes—
971#95C2411yescharacteristic
972#95C2412yes—
973#95C2412yes—
974#95C2412yes—
975#95C2414yes—
976#95C2412yes—
977#95C2412yes—
978#95C2414yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2412yes—
984#95C2411yescharacteristic
985#95C2414yes—
986#95C2414yes—
987#95C2412yes—
988#95C2412yes—
989#95C2414yes—
990#95C2411yescharacteristic
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2414yes—
1023C24—24no—
1024C24—24no—
1025C24—42no—
1026C24—44no—
1027C24—44no—
1028C24C2512yes—
1029C24C2514yes—
1030C24C2511yescharacteristic
1031C24C2512yes—
1032#41—816no—
1033C2×Q8—28no—
1034C2×Q8—41no—
1035C2×Q8—42no—
1036C2×Q8—42no—
1037C2×Q8—41no—
1038C2×Q8—44no—
1039C2×Q8—44no—
1040C2×Q8—42no—
1041C2×Q8—42no—
1042C2×Q8—42no—
1043C2×Q8—42no—
1044C2×Q8—44no—
1045C2×D4—24no—
1046C2×D4—28no—
1047C2×D4—28no—
1048C2×D4—28no—
1049C2×D4—22no—
1050C2×D4—24no—
1051C2×D4—22no—
1052C2×D4—22no—
1053C2×D4—24no—
1054C2×D4—24no—
1055C2×D4—24no—
1056C2×D4—22no—
1057C2×D4—22no—
1058C2×D4—416no—
1059C2×D4—42no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—42no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—42no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D42−1+414yes—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—24no—
1080C22×C4—28no—
1081C22×C4—24no—
1082C22×C4—24no—
1083C22×C4—28no—
1084C22×C4—42no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—42no—
1094C22×C4—44no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—42no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C42−1+414yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2514yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2514yes—
1115C22×C4C2511yescharacteristic
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2514yes—
1119C22×C4C2511yescharacteristic
1120C22×C4C2511yescharacteristic
1121C22×C4C2512yes—
1122C22×C4C2511yescharacteristic
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2514yes—
1127C22×C4C2514yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2511yescharacteristic
1132C22×C4C2511yescharacteristic
1133C4⋊C4—24no—
1134C4⋊C4—28no—
1135C4⋊C4—28no—
1136C4⋊C4—28no—
1137C4⋊C4—22no—
1138C4⋊C4—24no—
1139C4⋊C4—24no—
1140C4⋊C4—24no—
1141C4⋊C4—24no—
1142C4⋊C4—41no—
1143C4⋊C4—42no—
1144C4⋊C4—44no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—44no—
1158C4⋊C4—42no—
1159C4⋊C4—41no—
1160C4⋊C4—42no—
1161C4⋊C4—42no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—42no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—44no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—42no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4—44no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4H(5,𝔽2)14yes—
1200C22⋊C4—24no—
1201C22⋊C4—28no—
1202C22⋊C4—24no—
1203C22⋊C4—24no—
1204C22⋊C4—24no—
1205C22⋊C4—28no—
1206C22⋊C4—28no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—42no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—42no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C42—24no—
1253C42—22no—
1254C42—22no—
1255C42—24no—
1256C42—24no—
1257C42—24no—
1258C42—22no—
1259C42—22no—
1260C42—24no—
1261C42—24no—
1262C42—24no—
1263C42—24no—
1264C42—44no—
1265C42—44no—
1266C42—44no—
1267C42—44no—
1268C42—44no—
1269C23—21no—
1270C23—22no—
1271C23—21no—
1272C23—22no—
1273C23—24no—
1274C23—22no—
1275C23—24no—
1276C23—22no—
1277C23—24no—
1278C23—22no—
1279C23—24no—
1280C23—24no—
1281C23—22no—
1282C23—22no—
1283C23—24no—
1284C23—24no—
1285C23—24no—
1286C23—24no—
1287C23—24no—
1288C23—24no—
1289C23—48no—
1290C23—88no—
1291C23—88no—
1292C23—162no—
1293C23—162no—
1294C23C2×2−1+412yes—
1295C23C2×2−1+414yes—
1296C23C2611yescharacteristic
1297Q8—44no—
1298Q8—88no—
1299Q8—82no—
1300Q8—84no—
1301Q8—162no—
1302D4—28no—
1303D4—48no—
1304D4—48no—
1305D4—44no—
1306D4—88no—
1307D4—88no—
1308D4—88no—
1309D4—84no—
1310D4—88no—
1311D4—162no—
1312D4—164no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—24no—
1316C2×C4—28no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—24no—
1329C2×C4—24no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—24no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—24no—
1338C2×C4—24no—
1339C2×C4—24no—
1340C2×C4—24no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—24no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—24no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—24no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—84no—
1379C2×C4—88no—
1380C2×C4—84no—
1381C2×C4—88no—
1382C2×C4—84no—
1383C2×C4—88no—
1384C2×C4—162no—
1385C2×C4—164no—
1386C2×C4—164no—
1387C2×C4—162no—
1388C2×C4—162no—
1389C2×C4C2×H(5,𝔽2)14yes—
1390C2×C4C2×H(5,𝔽2)12yes—
1391C2×C4C2×2−1+412yes—
1392C2×C4C2×2−1+412yes—
1393C2×C4C2×2−1+412yes—
1394C22—22no—
1395C22—24no—
1396C22—28no—
1397C22—24no—
1398C22—42no—
1399C22—41no—
1400C22—42no—
1401C22—42no—
1402C22—41no—
1403C22—44no—
1404C22—42no—
1405C22—44no—
1406C22—44no—
1407C22—42no—
1408C22—44no—
1409C22—44no—
1410C22—44no—
1411C22—44no—
1412C22—42no—
1413C22—44no—
1414C22—44no—
1415C22—44no—
1416C22—168no—
1417C22C22×H(5,𝔽2)11yescharacteristic
1418C22C22×2−1+411yescharacteristic
1419C22C22×2−1+411yescharacteristic
1420C22H(7,𝔽2)12yes—
1421C22H(7,𝔽2)12yes—
1422C4—22no—
1423C4—24no—
1424C4—41no—
1425C4—42no—
1426C4—41no—
1427C4—42no—
1428C4—44no—
1429C4—42no—
1430C4—42no—
1431C4—44no—
1432C4—42no—
1433C4—42no—
1434C4—42no—
1435C4—42no—
1436C4—44no—
1437C4—42no—
1438C4—41no—
1439C4—42no—
1440C4—41no—
1441C4—42no—
1442C4—44no—
1443C4—42no—
1444C4—42no—
1445C4—44no—
1446C4#353814yes—
1447C2—44no—
1448C2—42no—
1449C2—84no—
1450C2—82no—
1451C2C2×#353811yescharacteristic
1452C2#6288112yes—
1453C2#6304111yescharacteristic
1454C2#6305412yes—
1455C2#6306611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35741C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #58190C2semidirect
2. #57722C2semidirect
3. #57624C2semidirect
4. #57519C2semidirect
5. #55492C2semidirect
6. #55327C2semidirect
7. #53494C2semidirect
8. #53112C2semidirect
9. #53006C2semidirect
10. #52997C2semidirect
11. #52547C2semidirect
12. #52423C2semidirect
13. #45379C2semidirect
14. #45367C2semidirect
15. #45110C2semidirect
16. #44948C2semidirect
17. #42955C2semidirect
18. #42580C2semidirect
19. #42538C2semidirect
20. #42522C2semidirect
21. #42495C2semidirect
22. #42479C2semidirect
23. #38073C2semidirect
24. #38056C2semidirect
25. #37289C2semidirect
26. #36691C2semidirect
27. #35836C2semidirect
29. #35529C2semidirect
31. C2×#554C22semidirect
36. #2845C22semidirect
37. #2844C22semidirect
38. #2844C22semidirect
39. #2843C22semidirect
40. #2843C22semidirect
41. #2843C22semidirect
42. #2843C22semidirect
47. #2841C22semidirect
48. #2837C22semidirect
49. #2837C22semidirect
50. #2837C22semidirect
51. #2836C22semidirect
52. #2827C22semidirect
53. #2827C22semidirect
55. #2826C22semidirect
56. #2820C22semidirect
57. #2816C22semidirect
58. #2814C22semidirect
59. #2814C22semidirect
60. #2795C22semidirect
61. #2795C22semidirect
62. #2790C22semidirect
63. #2785C22semidirect
64. #2782C22semidirect
65. #2781C22semidirect
66. #2781C22semidirect
67. #2772C22semidirect
69. #2768C22semidirect
72. #2761C22semidirect
75. #2754C22semidirect
77. #2750C22semidirect
80. #2744C22semidirect
83. #2742C22semidirect
85. #2729C22semidirect
86. #2728C22semidirect
87. #2723C22semidirect
88. #2720C22semidirect
89. #2720C22semidirect
90. #2718C22semidirect
91. #2717C22semidirect
92. #2708C22semidirect
93. #2707C22semidirect
96. #2706C22semidirect
97. #2702C22semidirect
98. #2698C22semidirect
102. #2695C22semidirect
104. #2693C22semidirect
106. #2692C22semidirect
107. #2692C22semidirect
108. #2691C22semidirect
109. #2687C22semidirect
111. #2683C22semidirect
112. #2683C22semidirect
113. #2681C22semidirect
114. #2681C22semidirect
115. #2680C22semidirect
116. #2680C22semidirect
117. #2680C22semidirect
118. #2672C22semidirect
119. #2672C22semidirect
120. #2667C22semidirect
121. #2666C22semidirect
122. #2652C22semidirect
123. #2647C22semidirect
125. #2644C22semidirect
127. #2637C22semidirect
128. #2636C22semidirect
132. #2627C22semidirect
135. #2618C22semidirect
136. #2618C22semidirect
137. #2616C22semidirect
138. #2584C22semidirect
139. #2584C22semidirect
142. #2571C22semidirect
143. #2570C22semidirect
146. #2566C22semidirect
150. #2552C22semidirect
151. #2550C22semidirect
152. #2550C22semidirect
160. #2538C22semidirect
161. #2536C22semidirect
164. #2525C22semidirect
165. #2519C22semidirect
166. #2515C22semidirect
169. #2513C22semidirect
170. #2513C22semidirect
172. #2512C22semidirect
173. #2508C22semidirect
174. #2508C22semidirect
175. #2508C22semidirect
176. #2508C22semidirect
177. #2506C22semidirect
179. #2495C22semidirect
180. #2488C22semidirect
182. #2473C22semidirect
187. #2458C22semidirect
192. #2454C22semidirect
193. #2454C22semidirect
196. #2452C22semidirect
197. #2452C22semidirect
200. #2449C22semidirect
201. #2449C22semidirect
207. #2445C22semidirect
208. #2445C22semidirect
209. #2443C22semidirect
211. #2442C22semidirect
217. #2429C22semidirect
219. #2421C22semidirect
220. #2419C22semidirect
222. #2417C22semidirect
223. #2417C22semidirect
226. #2406C22semidirect
228. #2402C22semidirect
229. #2402C22semidirect
230. #2399C22semidirect
231. #2399C22semidirect
239. #2365C22semidirect
248. #2330C22semidirect
252. #2319C22semidirect

Maximal subgroups

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

subgroupindex
#581902
#577222
#576242
#575192
#554922
#553272
#534942
#531122
#530062
#529972
#525472
#524232
#453792
#453672
#451102
#449482
#429552
#425802
#425382
#425222
#424952
#424792
#380732
#380562
#372892
#366912
#358362
#357412
#355292