Finite Group Databasebeta

← #8750714

Subgroups — #8750714

Order 512.

4492 conjugacy classes of subgroups.

The subgroup lattice has 1487 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59378C211yesmaximal, characteristic, complemented
2#59139C212yesmaximal, complemented
3#57903C214yesmaximal, complemented
4#57573C212yesmaximal, complemented
5#57466C214yesmaximal, complemented
6#57177C214yesmaximal, complemented
7#55608C214yesmaximal, complemented
8#52999C212yesmaximal, complemented
9#52988C211yesmaximal, characteristic, complemented
10#52926C212yesmaximal, complemented
11#52790C214yesmaximal, complemented
12#47568C212yesmaximal, complemented
13#45052C212yesmaximal, complemented
14#45011C212yesmaximal, complemented
15#44914C211yesmaximal, characteristic, complemented
16#44902C212yesmaximal, complemented
17#44899C212yesmaximal, complemented
18#42962C211yesmaximal, characteristic, complemented
19#42928C212yesmaximal, complemented
20#42919C212yesmaximal, complemented
21#42563C212yesmaximal, complemented
22#42522C212yesmaximal, complemented
23#42460C212yesmaximal, complemented
24#42266C214yesmaximal, complemented
25#40175C212yesmaximal, complemented
26#38919C211yesmaximal, characteristic, complemented
27#36677C211yesmaximal, characteristic, complemented
28#36065C211yesmaximal, characteristic, complemented
29#36058C212yesmaximal, complemented
30C2×#556C2211yescharacteristic, complemented
31C2×#553C2212yes—
32C2×#552C2211yescharacteristic
33C2×#535C2211yescharacteristic
34C22×#125C2211yescharacteristic, complemented
35#2855C2211yescharacteristic, complemented
36#2842C2212yes—
37#2841C2211yescharacteristic, complemented
38#2838C2214yescomplemented
39#2838C2212yescomplemented
40#2837C2212yes—
41#2837C2214yescomplemented
42#2836C2214yescomplemented
43#2834C2214yescomplemented
44#2833C2214yescomplemented
45#2829C2212yescomplemented
46#2828C2212yes—
47#2827C2214yes—
48#2826C2212yes—
49#2826C2214yes—
50#2826C2211yescharacteristic, complemented
51#2825C2212yes—
52#2824C2211yescharacteristic, complemented
53#2823C2214yescomplemented
54#2820C2212yes—
55#2815C2211yescharacteristic, complemented
56#2814C2214yescomplemented
57#2813C2212yes—
58#2803C2214yescomplemented
59#2800C2214yescomplemented
60#2797C2214yescomplemented
61#2795C2214yescomplemented
62#2793C2214yescomplemented
63#2782C2212yescomplemented
64#2781C2214yes—
65#2781C2214yescomplemented
66#2780C2214yescomplemented
67#2778C2214yes—
68#2778C2214yescomplemented
69#2773C2214yes—
70#2765C2214yescomplemented
71#2763C2212yescomplemented
72#2761C2214yes—
73#2761C2214yescomplemented
74#2760C2212yes—
75#2753C2214yes—
76#2744C2214yescomplemented
77#2741C2214yes—
78#2740C2214yescomplemented
79#2740C2214yescomplemented
80#2735C2214yes—
81#2725C2214yescomplemented
82#2724C2214yescomplemented
83#2723C2214yes—
84#2721C2214yes—
85#2721C2214yes—
86#2720C2214yescomplemented
87#2719C2214yescomplemented
88#2711C2214yescomplemented
89#2711C2214yescomplemented
90#2710C2214yes—
91#2707C2214yescomplemented
92#2707C2214yescomplemented
93#2701C2214yescomplemented
94#2699C2214yescomplemented
95#2699C2214yescomplemented
96#2697C2212yes—
97#2695C2214yescomplemented
98#2691C2214yescomplemented
99#2688C2214yescomplemented
100#2685C2214yes—
101#2685C2214yes—
102#2685C2214yes—
103#2680C2214yescomplemented
104#2678C2214yes—
105#2678C2214yes—
106#2676C2214yescomplemented
107#2675C2212yes—
108#2673C2214yes—
109#2672C2214yescomplemented
110#2668C2214yes—
111#2668C2212yes—
112#2667C2214yescomplemented
113#2662C2212yes—
114#2660C2211yescharacteristic, complemented
115#2651C2214yes—
116#2651C2214yescomplemented
117#2648C2214yes—
118#2648C2214yes—
119#2644C2212yes—
120#2641C2212yes—
121#2637C2214yescomplemented
122#2636C2214yescomplemented
123#2630C2214yescomplemented
124#2630C2214yescomplemented
125#2623C2212yes—
126#2622C2214yes—
127#2620C2212yes—
128#2619C2212yes—
129#2616C2211yescharacteristic
130#2612C2212yescomplemented
131#2611C2214yescomplemented
132#2610C2212yes—
133#2610C2212yescomplemented
134#2604C2212yes—
135#2603C2214yes—
136#2595C2214yescomplemented
137#2576C2214yes—
138#2576C2214yescomplemented
139#2576C2214yescomplemented
140#2575C2214yescomplemented
141#2574C2214yescomplemented
142#2570C2214yescomplemented
143#2566C2212yes—
144#2563C2211yescharacteristic
145#2562C2212yescomplemented
146#2562C2211yescharacteristic, complemented
147#2561C2214yes—
148#2558C2214yescomplemented
149#2554C2214yes—
150#2552C2212yescomplemented
151#2552C2212yescomplemented
152#2540C2212yes—
153#2539C2214yes—
154#2538C2214yescomplemented
155#2538C2212yescomplemented
156#2537C2212yes—
157#2536C2212yes—
158#2531C2214yescomplemented
159#2529C2214yescomplemented
160#2529C2214yescomplemented
161#2528C2214yescomplemented
162#2526C2214yescomplemented
163#2526C2214yescomplemented
164#2522C2214yescomplemented
165#2521C2214yes—
166#2519C2214yescomplemented
167#2513C2212yes—
168#2513C2214yescomplemented
169#2508C2212yescomplemented
170#2507C2212yescomplemented
171#2502C2211yescharacteristic, complemented
172#2501C2212yes—
173#2500C2214yescomplemented
174#2500C2214yescomplemented
175#2496C2212yes—
176#2494C2212yes—
177#2494C2212yescomplemented
178#2490C2212yes—
179#2490C2212yes—
180#2490C2212yes—
181#2489C2212yes—
182#2487C2211yescharacteristic
183#2487C2212yes—
184#2485C2212yescomplemented
185#2484C2212yescomplemented
186#2481C2214yescomplemented
187#2480C2214yes—
188#2479C2214yes—
189#2476C2214yescomplemented
190#2476C2214yescomplemented
191#2471C2214yescomplemented
192#2464C2214yescomplemented
193#2463C2212yes—
194#2463C2212yescomplemented
195#2460C2214yescomplemented
196#2453C2212yescomplemented
197#2452C2212yes—
198#2448C2212yes—
199#2445C2214yes—
200#2443C2214yescomplemented
201#2442C2212yescomplemented
202#2441C2212yes—
203#2441C2212yescomplemented
204#2440C2212yescomplemented
205#2435C2211yescharacteristic
206#2427C2212yes—
207#2426C2212yes—
208#2422C2212yes—
209#2421C2212yescomplemented
210#2420C2212yes—
211#2418C2214yes—
212#2417C2212yescomplemented
213#2417C2212yescomplemented
214#2416C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2416C2214yescomplemented
219#2414C2212yes—
220#2414C2212yes—
221#2413C2212yes—
222#2408C2212yes—
223#2408C2211yescharacteristic
224#2401C2212yescomplemented
225#2401C2214yescomplemented
226#2397C2211yescharacteristic
227#2396C2212yescomplemented
228#2395C2212yes—
229#2392C2212yescomplemented
230#2392C2212yescomplemented
231#2388C2212yes—
232#2388C2211yescharacteristic
233#2370C2212yescomplemented
234#2367C2212yes—
235#2363C2212yes—
236#2362C2212yescomplemented
237#2361C2214yescomplemented
238#2358C2212yes—
239#2357C2212yes—
240#2354C2212yes—
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243D4×C4⋊C4C2212yescomplemented
244#2346C2211yescharacteristic
245#2346C2212yescomplemented
246#2344C2211yescharacteristic, complemented
247#2344C2212yescomplemented
248D4×C22⋊C4C2212yes—
249#2324C2212yes—
250#2324C2214yescomplemented
251#2317C2212yescomplemented
252#2317C2212yescomplemented
253#2314C2212yescomplemented
254#2311C2212yes—
255C4×#123C2211yescharacteristic
256C4×#121C2212yes—
257C4×#121C2212yescomplemented
258#2276C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C23×D4C2311yescharacteristic
261#556—44no—
262#553—48no—
263#552—44no—
264#535—44no—
265C2×C4⋊Q8C2311yescharacteristic
266C2×#127C2312yes—
267C2×#126C2314yes—
268C2×#126C2314yes—
269C2×#126C2312yes—
270C2×#126C2314yes—
271C2×#125—44no—
272C2×#125C2312yes—
273C2×#125C2312yes—
274C2×#125C2311yescharacteristic
275C2×#125C2312yes—
276C2×#125C2314yes—
277C2×#125C2314yes—
278C2×#124C2312yes—
279C2×#124C2312yes—
280C2×#124C2312yes—
281C2×#123C2312yes—
282C2×#123C2311yescharacteristic
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×#121C2312yes—
294C2×#121C2312yes—
295C2×#121C2314yes—
296C2×#121C2314yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2314yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#120C2312yes—
306C2×#120C2314yes—
307C2×#120C2314yes—
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2312yes—
310C2×C4×Q8C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2312yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2314yes—
321C2×C4×D4C2314yes—
322C2×C4×D4C2314yes—
323C2×#117C2312yes—
324C2×#117C2311yescharacteristic
325C2×#117C2312yes—
326C2×#117C2312yes—
327C2×#117C2312yes—
328C2×#117C2312yes—
329C2×#117C2314yes—
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2312yes—
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2312yes—
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2312yes—
336C22×C22⋊C4C2314yes—
337C22×C42C2311yescharacteristic
338#401C2312yes—
339#401C2314yes—
340#401C2314yes—
341#400C2314yes—
342#400C2312yes—
343#400C2312yes—
344#400C2312yes—
345#400C2314yes—
346#400C2312yes—
347#400C2314yes—
348#400C2314yes—
349#400C2312yes—
350#400C2314yes—
351#400C2314yes—
352#400C2312yes—
353#400C2314yes—
354#400C2314yes—
355#399C2314yes—
356#399C2311yescharacteristic
357#399C2312yes—
358#399C2314yes—
359#399C2314yes—
360#399C2314yes—
361#399C2311yescharacteristic
362#399C2312yes—
363#399C2314yes—
364#399C2312yes—
365#399C2314yes—
366#399C2314yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2312yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2312yes—
381#398C2312yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2312yes—
389#397C2312yes—
390#397C2312yes—
391#397C2312yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2312yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2312yes—
400#397C2314yes—
401#397C2314yes—
402#397C2312yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2312yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2312yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2312yes—
425#396C2314yes—
426#396C2312yes—
427#396C2312yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#395C2311yescharacteristic
434#395C2312yes—
435#395C2312yes—
436#395C2312yes—
437#395C2314yes—
438#395C2312yes—
439#394C2312yes—
440#394C2314yes—
441#394C2312yes—
442#394C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2311yescharacteristic
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#393C2312yes—
480#393C2314yes—
481#393C2312yes—
482#393C2312yes—
483#393C2311yescharacteristic
484#392C2311yescharacteristic
485#392C2312yes—
486#392C2312yes—
487#392C2312yes—
488#392C2312yes—
489#392C2312yes—
490#392C2314yes—
491#392C2311yescharacteristic
492#392C2311yescharacteristic
493#392C2312yes—
494#392C2312yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2312yes—
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#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2312yes—
609#386C2311yescharacteristic
610#386C2312yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2311yescharacteristic
631#385C2312yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2312yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#384C2312yes—
647#384C2314yes—
648#384C2312yes—
649#384C2314yes—
650#384C2312yes—
651#382C2312yes—
652#382C2312yes—
653#382C2312yes—
654#382C2312yes—
655#382C2314yes—
656#382C2314yes—
657#382C2314yes—
658#382C2314yes—
659#381C2314yes—
660#381C2314yes—
661#381C2312yes—
662#381C2311yescharacteristic
663#381C2312yes—
664#381C2314yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2314yes—
675#380C2312yes—
676#380C2311yescharacteristic
677#380C2311yescharacteristic
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#379C2312yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686C4×C4⋊C4C2311yescharacteristic
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2311yescharacteristic
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713#376C2312yes—
714#376C2314yes—
715#376C2312yes—
716#376C2311yescharacteristic
717C25C2412yes—
718C2×#41—42no—
719C2×#41—44no—
720C22×Q8C2411yescharacteristic
721C22×Q8C2412yes—
722C22×Q8C2411yescharacteristic
723C22×D4—42no—
724C22×D4—44no—
725C22×D4C2412yes—
726C22×D4C2412yes—
727C22×D4C2411yescharacteristic
728C22×D4C2414yes—
729C22×D4C2414yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2411yescharacteristic
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2414yes—
737C22×D4C2414yes—
738C22×D4C2414yes—
739C22×D4C2412yes—
740C22×D4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2412yes—
743C23×C4C2412yes—
744C23×C4C2411yescharacteristic
745C23×C4C2412yes—
746C23×C4C2411yescharacteristic
747C23×C4C2414yes—
748C23×C4C2414yes—
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2414yes—
752C23×C4C2414yes—
753C4⋊Q8—42no—
754#127—44no—
755#126—44no—
756#126—48no—
757#126—48no—
758#126—84no—
759#125—28no—
760#125—44no—
761#125—44no—
762#125—42no—
763#125—48no—
764#125—84no—
765#124—44no—
766#124—44no—
767#124—44no—
768#123—48no—
769#123—44no—
770#123—42no—
771#123—84no—
772#123—84no—
773#123—84no—
774C22⋊Q8—44no—
775C22⋊Q8—42no—
776C22⋊Q8—42no—
777C22⋊Q8—44no—
778C22⋊Q8—84no—
779C22⋊Q8—84no—
780#121—28no—
781#121—48no—
782#121—48no—
783#121—44no—
784#121—44no—
785#121—44no—
786#121—44no—
787#121—48no—
788#121—44no—
789#121—84no—
790#121—84no—
791#121—84no—
792#120—48no—
793#120—44no—
794#120—84no—
795C4×Q8—24no—
796C4×Q8—44no—
797C4×Q8—44no—
798C4×D4—44no—
799C4×D4—44no—
800C4×D4—48no—
801C4×D4—44no—
802C4×D4—44no—
803C4×D4—44no—
804C4×D4—44no—
805C4×D4—42no—
806C4×D4—44no—
807C4×D4—42no—
808C4×D4—84no—
809C4×D4—84no—
810#117—24no—
811#117—28no—
812#117—44no—
813#117—44no—
814#117—44no—
815#117—44no—
816#117—84no—
817C2×C4⋊C4—24no—
818C2×C4⋊C4—44no—
819C2×C4⋊C4—42no—
820C2×C4⋊C4—44no—
821C2×C4⋊C4—44no—
822C2×C4⋊C4—44no—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C22⋊C4—84no—
880C2×C22⋊C4C2411yescharacteristic
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2411yescharacteristic
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2411yescharacteristic
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2411yescharacteristic
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C42—42no—
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2414yes—
951C2×C42C2412yes—
952C2×C42C2412yes—
953C2×C42C2411yescharacteristic
954C2×C42C2412yes—
955C2×C42C2412yes—
956C2×C42C2414yes—
957C2×C42C2414yes—
958C2×C42C2414yes—
959C2×C42C2414yes—
960C2×C42C2414yes—
961C2×C42C2414yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2414yes—
965#95C2411yescharacteristic
966#95C2412yes—
967#95C2411yescharacteristic
968#95C2412yes—
969#95C2414yes—
970#95C2411yescharacteristic
971#95C2412yes—
972#95C2414yes—
973#95C2412yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2412yes—
987#95C2412yes—
988#95C2412yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2412yes—
993#95C2412yes—
994#95C2411yescharacteristic
995#95C2412yes—
996#95C2414yes—
997#95C2414yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022C24—42no—
1023C24—44no—
1024C24—44no—
1025C24—42no—
1026C24—42no—
1027C24C2511yescharacteristic
1028C24C2514yes—
1029C24C2512yes—
1030C24C2512yes—
1031C24C2511yescharacteristic
1032#41—88no—
1033C2×Q8—22no—
1034C2×Q8—24no—
1035C2×Q8—42no—
1036C2×Q8—44no—
1037C2×Q8—41no—
1038C2×Q8—42no—
1039C2×D4—24no—
1040C2×D4—22no—
1041C2×D4—28no—
1042C2×D4—24no—
1043C2×D4—24no—
1044C2×D4—28no—
1045C2×D4—24no—
1046C2×D4—24no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—44no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—44no—
1059C2×D4—42no—
1060C2×D4—44no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—41no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—41no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—88no—
1085C22×C4—24no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—24no—
1089C22×C4—24no—
1090C22×C4—24no—
1091C22×C4—22no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—24no—
1095C22×C4—24no—
1096C22×C4—24no—
1097C22×C4—24no—
1098C22×C4—42no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—42no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—42no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—41no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4C2511yescharacteristic
1118C22×C4C2512yes—
1119C22×C4C2514yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2514yes—
1123C22×C4C2514yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2511yescharacteristic
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2511yescharacteristic
1134C22×C4C2512yes—
1135C22×C4C2511yescharacteristic
1136C22×C4C2514yes—
1137C22×C4C2514yes—
1138C22×C4C2512yes—
1139C22×C4C2512yes—
1140C22×C4C2511yescharacteristic
1141C4⋊C4—22no—
1142C4⋊C4—24no—
1143C4⋊C4—24no—
1144C4⋊C4—24no—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—22no—
1148C4⋊C4—24no—
1149C4⋊C4—24no—
1150C4⋊C4—24no—
1151C4⋊C4—24no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—44no—
1160C4⋊C4—42no—
1161C4⋊C4—42no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—42no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—42no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—42no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4H(5,𝔽2)14yes—
1197C22⋊C4—22no—
1198C22⋊C4—24no—
1199C22⋊C4—24no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—42no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—42no—
1209C22⋊C4—44no—
1210C22⋊C4—41no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—44no—
1214C22⋊C4—41no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—44no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—44no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—42no—
1231C22⋊C4—41no—
1232C22⋊C4—42no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—42no—
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—42no—
1247C22⋊C4—42no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—42no—
1253C22⋊C4—44no—
1254C22⋊C4—42no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—42no—
1264C42—24no—
1265C42—24no—
1266C42—28no—
1267C42—24no—
1268C42—22no—
1269C42—24no—
1270C42—24no—
1271C42—24no—
1272C42—42no—
1273C42—44no—
1274C42—42no—
1275C42—44no—
1276C42—44no—
1277C42—44no—
1278C42—44no—
1279C42—44no—
1280C42—44no—
1281C23—21no—
1282C23—22no—
1283C23—22no—
1284C23—21no—
1285C23—22no—
1286C23—21no—
1287C23—24no—
1288C23—22no—
1289C23—21no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—24no—
1295C23—24no—
1296C23—22no—
1297C23—24no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—24no—
1303C23—22no—
1304C23—22no—
1305C23—24no—
1306C23—22no—
1307C23—24no—
1308C23—22no—
1309C23—22no—
1310C23—21no—
1311C23—84no—
1312C23—88no—
1313C23—164no—
1314C23—162no—
1315C23—162no—
1316C23#58512yes—
1317C23C2611yescharacteristic
1318Q8—44no—
1319Q8—84no—
1320Q8—82no—
1321D4—48no—
1322D4—48no—
1323D4—88no—
1324D4—82no—
1325D4—88no—
1326D4—84no—
1327D4—84no—
1328D4—84no—
1329D4—82no—
1330D4—84no—
1331D4—84no—
1332D4—82no—
1333D4—84no—
1334D4—164no—
1335D4—164no—
1336D4—164no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—21no—
1340C2×C4—22no—
1341C2×C4—21no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—24no—
1346C2×C4—22no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—22no—
1350C2×C4—24no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—24no—
1364C2×C4—24no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—21no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—24no—
1372C2×C4—24no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—24no—
1380C2×C4—22no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—48no—
1401C2×C4—44no—
1402C2×C4—48no—
1403C2×C4—44no—
1404C2×C4—48no—
1405C2×C4—82no—
1406C2×C4—82no—
1407C2×C4—84no—
1408C2×C4—88no—
1409C2×C4—164no—
1410C2×C4—164no—
1411C2×C4—164no—
1412C2×C4C2×H(5,𝔽2)14yes—
1413C2×C4C2×H(5,𝔽2)12yes—
1414C2×C4#58514yes—
1415C22—22no—
1416C22—24no—
1417C22—41no—
1418C22—42no—
1419C22—41no—
1420C22—42no—
1421C22—41no—
1422C22—42no—
1423C22—44no—
1424C22—44no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—44no—
1431C22—42no—
1432C22—44no—
1433C22—42no—
1434C22—41no—
1435C22—42no—
1436C22—42no—
1437C22—44no—
1438C22—41no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—44no—
1443C22—44no—
1444C22—42no—
1445C22—42no—
1446C22—168no—
1447C22C22×H(5,𝔽2)11yescharacteristic
1448C22C2×#58512yes—
1449C22C2×#58511yescharacteristic
1450C22H(7,𝔽2)12yes—
1451C222−1+611yescharacteristic
1452C4—24no—
1453C4—42no—
1454C4—41no—
1455C4—41no—
1456C4—42no—
1457C4—42no—
1458C4—42no—
1459C4—44no—
1460C4—42no—
1461C4—42no—
1462C4—42no—
1463C4—44no—
1464C4—44no—
1465C4—41no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—41no—
1470C4—42no—
1471C4—44no—
1472C4—44no—
1473C4—42no—
1474C4—42no—
1475C4#355114yes—
1476C2—42no—
1477C2—82no—
1478C2—82no—
1479C2—84no—
1480C2—81no—
1481C2C2×#355111yescharacteristic
1482C2#6289811yescharacteristic
1483C2#6293512yes—
1484C2#6306512yes—
1485C2#6306611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59378C2semidirect
2. #59139C2semidirect
3. #57903C2semidirect
4. #57573C2semidirect
5. #57466C2semidirect
6. #57177C2semidirect
7. #55608C2semidirect
8. #52999C2semidirect
9. #52988C2semidirect
10. #52926C2semidirect
11. #52790C2semidirect
12. #47568C2semidirect
13. #45052C2semidirect
14. #45011C2semidirect
15. #44914C2semidirect
16. #44902C2semidirect
17. #44899C2semidirect
18. #42962C2semidirect
19. #42928C2semidirect
20. #42919C2semidirect
21. #42563C2semidirect
22. #42522C2semidirect
23. #42460C2semidirect
24. #42266C2semidirect
25. #40175C2semidirect
26. #38919C2semidirect
27. #36677C2semidirect
28. #36065C2semidirect
29. #36058C2semidirect
30. C2×#556C22semidirect
34. C22×#125C22semidirect
35. #2855C22semidirect
37. #2841C22semidirect
38. #2838C22semidirect
39. #2838C22semidirect
41. #2837C22semidirect
42. #2836C22semidirect
43. #2834C22semidirect
44. #2833C22semidirect
45. #2829C22semidirect
50. #2826C22semidirect
52. #2824C22semidirect
53. #2823C22semidirect
55. #2815C22semidirect
56. #2814C22semidirect
58. #2803C22semidirect
59. #2800C22semidirect
60. #2797C22semidirect
61. #2795C22semidirect
62. #2793C22semidirect
63. #2782C22semidirect
65. #2781C22semidirect
66. #2780C22semidirect
68. #2778C22semidirect
70. #2765C22semidirect
71. #2763C22semidirect
73. #2761C22semidirect
76. #2744C22semidirect
78. #2740C22semidirect
79. #2740C22semidirect
81. #2725C22semidirect
82. #2724C22semidirect
86. #2720C22semidirect
87. #2719C22semidirect
88. #2711C22semidirect
89. #2711C22semidirect
91. #2707C22semidirect
92. #2707C22semidirect
93. #2701C22semidirect
94. #2699C22semidirect
95. #2699C22semidirect
97. #2695C22semidirect
98. #2691C22semidirect
99. #2688C22semidirect
103. #2680C22semidirect
106. #2676C22semidirect
109. #2672C22semidirect
112. #2667C22semidirect
114. #2660C22semidirect
116. #2651C22semidirect
121. #2637C22semidirect
122. #2636C22semidirect
123. #2630C22semidirect
124. #2630C22semidirect
130. #2612C22semidirect
131. #2611C22semidirect
133. #2610C22semidirect
136. #2595C22semidirect
138. #2576C22semidirect
139. #2576C22semidirect
140. #2575C22semidirect
141. #2574C22semidirect
142. #2570C22semidirect
145. #2562C22semidirect
146. #2562C22semidirect
148. #2558C22semidirect
150. #2552C22semidirect
151. #2552C22semidirect
154. #2538C22semidirect
155. #2538C22semidirect
158. #2531C22semidirect
159. #2529C22semidirect
160. #2529C22semidirect
161. #2528C22semidirect
162. #2526C22semidirect
163. #2526C22semidirect
164. #2522C22semidirect
166. #2519C22semidirect
168. #2513C22semidirect
169. #2508C22semidirect
170. #2507C22semidirect
171. #2502C22semidirect
173. #2500C22semidirect
174. #2500C22semidirect
177. #2494C22semidirect
184. #2485C22semidirect
185. #2484C22semidirect
186. #2481C22semidirect
189. #2476C22semidirect
190. #2476C22semidirect
191. #2471C22semidirect
192. #2464C22semidirect
194. #2463C22semidirect
195. #2460C22semidirect
196. #2453C22semidirect
200. #2443C22semidirect
201. #2442C22semidirect
203. #2441C22semidirect
204. #2440C22semidirect
209. #2421C22semidirect
212. #2417C22semidirect
213. #2417C22semidirect
218. #2416C22semidirect
224. #2401C22semidirect
225. #2401C22semidirect
227. #2396C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
233. #2370C22semidirect
236. #2362C22semidirect
237. #2361C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. D4×C4⋊C4C22semidirect
245. #2346C22semidirect
246. #2344C22semidirect
247. #2344C22semidirect
250. #2324C22semidirect
251. #2317C22semidirect
252. #2317C22semidirect
253. #2314C22semidirect
257. C4×#121C22semidirect
258. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#593782
#591392
#579032
#575732
#574662
#571772
#556082
#529992
#529882
#529262
#527902
#475682
#450522
#450112
#449142
#449022
#448992
#429622
#429282
#429192
#425632
#425222
#424602
#422662
#401752
#389192
#366772
#360652
#360582