Finite Group Databasebeta

← #8176046

Subgroups — #8176046

Order 512.

4979 conjugacy classes of subgroups.

The subgroup lattice has 1511 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59304C212yesmaximal, complemented
2#59139C212yesmaximal, complemented
3#57479C214yesmaximal, complemented
4#55508C214yesmaximal, complemented
5#54540C214yesmaximal, complemented
6#54351C214yesmaximal, complemented
7#53134C212yesmaximal, complemented
8#53062C212yesmaximal, complemented
9#52472C214yesmaximal, complemented
10#43269C214yesmaximal, complemented
11#42662C212yesmaximal, complemented
12#42445C212yesmaximal, complemented
13#40782C214yesmaximal, complemented
14#40669C214yesmaximal, complemented
15#39742C212yesmaximal, complemented
16#39692C212yesmaximal, complemented
17#38973C212yesmaximal, complemented
18#37846C212yesmaximal, complemented
19#37836C212yesmaximal, complemented
20#37515C211yesmaximal, characteristic, complemented
21#37481C211yesmaximal, characteristic, complemented
22#37425C211yesmaximal, characteristic, complemented
23#37283C211yesmaximal, characteristic, complemented
24#36157C212yesmaximal, complemented
25#35261C211yesmaximal, characteristic, complemented
26#34737C211yesmaximal, characteristic, complemented
27C2×#2629C211yesmaximal, characteristic, complemented
28C2×#553C2212yes—
29C2×#553C2212yescomplemented
30C2×#553C2212yescomplemented
31C2×#540C2211yescharacteristic, complemented
32C22×#125C2211yescharacteristic, complemented
33C2×#525C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×#117C2211yescharacteristic
37#2856C2211yescharacteristic, complemented
38#2851C2212yes—
39#2851C2211yescharacteristic, complemented
40#2847C2212yes—
41#2847C2212yes—
42#2842C2214yes—
43#2837C2214yescomplemented
44#2836C2214yescomplemented
45#2829C2214yes—
46#2829C2214yes—
47#2829C2214yes—
48#2829C2214yescomplemented
49#2827C2214yescomplemented
50#2825C2214yes—
51#2813C2214yes—
52#2813C2214yes—
53#2813C2214yes—
54#2809C2214yescomplemented
55#2801C2214yes—
56#2800C2214yescomplemented
57#2795C2214yescomplemented
58#2793C2214yescomplemented
59#2790C2214yescomplemented
60#2781C2214yescomplemented
61#2780C2214yes—
62#2780C2214yes—
63#2780C2214yes—
64#2780C2214yes—
65#2777C2214yescomplemented
66#2776C2214yescomplemented
67#2773C2214yescomplemented
68#2771C2214yescomplemented
69#2768C2214yescomplemented
70#2756C2214yescomplemented
71#2749C2214yes—
72#2748C2214yescomplemented
73#2747C2214yescomplemented
74#2740C2214yescomplemented
75#2727C2214yescomplemented
76#2725C2214yescomplemented
77#2718C2214yescomplemented
78#2718C2214yescomplemented
79#2711C2214yescomplemented
80#2711C2214yescomplemented
81#2708C2214yescomplemented
82#2706C2214yescomplemented
83#2705C2214yes—
84#2705C2214yescomplemented
85#2705C2214yescomplemented
86#2702C2214yescomplemented
87#2701C2214yescomplemented
88#2699C2214yescomplemented
89#2695C2214yescomplemented
90#2694C2214yescomplemented
91#2694C2214yescomplemented
92#2693C2214yes—
93#2691C2214yescomplemented
94#2687C2214yescomplemented
95#2682C2214yescomplemented
96#2678C2214yes—
97#2678C2214yes—
98#2678C2214yes—
99#2675C2214yes—
100#2671C2214yescomplemented
101#2671C2214yescomplemented
102#2667C2214yescomplemented
103#2667C2214yescomplemented
104#2661C2214yescomplemented
105#2656C2214yes—
106#2655C2214yescomplemented
107#2653C2214yescomplemented
108#2651C2214yescomplemented
109#2643C2214yes—
110#2630C2214yescomplemented
111#2629C2212yes—
112#2629C2212yes—
113#2629C2214yes—
114#2629C2211yescharacteristic
115#2629C2211yescharacteristic
116#2629C2211yescharacteristic
117#2629C2211yescharacteristic, complemented
118#2629C2214yescomplemented
119#2629C2211yescharacteristic, complemented
120#2629C2212yescomplemented
121#2624C2212yescomplemented
122#2619C2211yescharacteristic
123#2618C2214yescomplemented
124#2615C2212yes—
125#2608C2214yes—
126#2579C2214yes—
127#2566C2214yes—
128#2566C2212yescomplemented
129#2562C2212yes—
130#2562C2212yescomplemented
131#2562C2212yescomplemented
132#2560C2214yescomplemented
133#2558C2214yescomplemented
134#2554C2214yes—
135#2552C2212yescomplemented
136#2543C2214yescomplemented
137#2537C2212yescomplemented
138#2537C2212yescomplemented
139#2535C2212yes—
140#2525C2214yescomplemented
141#2522C2214yescomplemented
142#2508C2212yescomplemented
143#2506C2212yescomplemented
144#2501C2214yescomplemented
145#2496C2214yescomplemented
146#2495C2212yescomplemented
147#2494C2212yescomplemented
148#2490C2212yescomplemented
149#2490C2212yescomplemented
150#2487C2212yes—
151#2487C2212yescomplemented
152#2486C2212yescomplemented
153#2485C2212yes—
154#2485C2212yescomplemented
155#2485C2212yescomplemented
156#2481C2214yes—
157#2481C2214yescomplemented
158#2476C2214yescomplemented
159#2473C2214yescomplemented
160#2473C2214yescomplemented
161#2471C2214yes—
162#2467C2214yes—
163#2464C2214yescomplemented
164#2460C2214yescomplemented
165#2457C2214yes—
166#2457C2214yes—
167#2456C2214yes—
168#2454C2212yescomplemented
169#2454C2212yescomplemented
170#2450C2214yescomplemented
171#2444C2214yes—
172#2443C2214yes—
173#2443C2214yes—
174#2443C2214yes—
175#2443C2214yescomplemented
176#2443C2214yescomplemented
177#2442C2212yescomplemented
178#2442C2212yescomplemented
179#2441C2212yescomplemented
180#2441C2212yescomplemented
181#2441C2212yescomplemented
182#2441C2212yescomplemented
183#2441C2212yescomplemented
184#2441C2212yescomplemented
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2424C2214yes—
188#2424C2214yes—
189#2424C2214yes—
190#2422C2212yescomplemented
191#2422C2212yescomplemented
192#2418C2214yes—
193#2417C2212yes—
194#2416C2212yes—
195#2416C2214yes—
196#2416C2214yes—
197#2416C2214yes—
198#2416C2212yes—
199#2416C2212yescomplemented
200#2416C2214yescomplemented
201#2416C2214yescomplemented
202#2416C2212yescomplemented
203#2415C2212yes—
204#2414C2212yes—
205#2414C2212yes—
206#2414C2212yescomplemented
207#2414C2212yescomplemented
208#2413C2212yes—
209#2412C2212yes—
210#2411C2212yes—
211#2410C2214yes—
212#2410C2212yes—
213#2392C2212yes—
214#2392C2212yes—
215C2×#398C2214yescomplemented
216C2×#396C2214yes—
217#2370C2212yescomplemented
218#2364C2214yes—
219#2361C2214yescomplemented
220#2358C2214yes—
221#2354C2212yescomplemented
222#2352C2212yes—
223D4×C4⋊C4C2212yescomplemented
224D4×C4⋊C4C2214yescomplemented
225D4×C4⋊C4C2212yescomplemented
226#2325C2214yescomplemented
227#2324C2212yes—
228#2324C2212yes—
229#2318C2214yescomplemented
230#2314C2211yescharacteristic, complemented
231#2311C2212yes—
232C4×#121C2212yes—
233C4×#121C2212yes—
234C4×#121C2212yes—
235C4×#121C2212yescomplemented
236#2297C2211yescharacteristic
237#2296C2211yescharacteristic
238C2×#389C2212yescomplemented
239C2×#384C2211yescharacteristic, complemented
240#2280C2212yes—
241#2280C2211yescharacteristic
242C2×#380C2212yes—
243C22×#41C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247#553—48no—
248#553—48no—
249#553—48no—
250#540—44no—
251C2×#127C2311yescharacteristic
252C2×#126C2314yes—
253C2×#126C2314yes—
254C2×#126C2314yes—
255C2×#125—44no—
256C2×#125C2312yes—
257C2×#125C2312yes—
258C2×#125C2312yes—
259C2×#125C2311yescharacteristic
260C2×#125C2311yescharacteristic
261C2×#125C2311yescharacteristic
262C2×#125C2314yes—
263C2×#125C2314yes—
264#525—44no—
265#525—44no—
266C2×#123C2314yes—
267C2×#123C2314yes—
268C2×#123C2312yes—
269C2×#123C2312yes—
270C2×#123C2314yes—
271C2×#123C2314yes—
272C2×#123C2314yes—
273C2×#123C2314yes—
274C2×#123C2314yes—
275C2×C22⋊Q8C2312yes—
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×#121C2312yes—
279C2×#121C2312yes—
280C2×#121C2314yes—
281C2×#121C2312yes—
282C2×#121C2312yes—
283C2×#121C2312yes—
284C2×#121C2312yes—
285C2×#121C2312yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2312yes—
289C2×#121C2314yes—
290C2×#121C2314yes—
291C2×#121C2312yes—
292C2×#121C2311yescharacteristic
293C2×#121C2312yes—
294C2×#121C2311yescharacteristic
295C2×#121C2314yes—
296C2×#121C2314yes—
297C2×#121C2314yes—
298C2×#121C2314yes—
299C2×#121C2314yes—
300C2×#121C2314yes—
301C2×#121C2314yes—
302C2×#120C2314yes—
303C2×#120C2312yes—
304C2×#120C2312yes—
305C2×#120C2314yes—
306C2×C4×D4—44no—
307C2×C4×D4C2312yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2314yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2314yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2314yes—
324C2×#117—44no—
325C2×#117C2311yescharacteristic
326C2×#117C2311yescharacteristic
327C2×#117C2312yes—
328C2×#117C2311yescharacteristic
329C2×#117C2312yes—
330C2×#117C2312yes—
331C2×#117C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2312yes—
334C2×#117C2312yes—
335C22×C4⋊C4C2312yes—
336C22×C4⋊C4C2312yes—
337C22×C4⋊C4C2312yes—
338C22×C4⋊C4C2314yes—
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2314yes—
342C22×C4⋊C4C2314yes—
343C22×C4⋊C4C2314yes—
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2312yes—
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2314yes—
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351#401C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#399C2314yes—
363#399C2314yes—
364#399C2314yes—
365#399C2314yes—
366#399C2314yes—
367#399C2314yes—
368#399C2314yes—
369#399C2314yes—
370#399C2314yes—
371#399C2314yes—
372#399C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2312yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2312yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2312yes—
406#397C2312yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2312yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2312yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2312yes—
429#396C2314yes—
430#396C2314yes—
431#396C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#393C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2312yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2312yes—
477#392C2314yes—
478#392C2314yes—
479#391C2314yes—
480#391C2312yes—
481#390C2314yes—
482#390C2314yes—
483#390C2314yes—
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2312yes—
491#390C2314yes—
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2312yes—
576#386C2314yes—
577#386C2314yes—
578#386C2312yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2312yes—
594#386C2314yes—
595#386C2314yes—
596#386C2312yes—
597#386C2312yes—
598#386C2312yes—
599#386C2314yes—
600#385C2312yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2312yes—
621#384C2314yes—
622#384C2312yes—
623#384C2311yescharacteristic
624#384C2312yes—
625#384C2311yescharacteristic
626#384C2311yescharacteristic
627#384C2314yes—
628#383C2314yes—
629#382C2314yes—
630#382C2312yes—
631#382C2311yescharacteristic
632#381C2314yes—
633#381C2312yes—
634#381C2314yes—
635#380C2312yes—
636#380C2312yes—
637#380C2312yes—
638#380C2312yes—
639#380C2312yes—
640#380C2312yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2312yes—
646#380C2312yes—
647#380C2314yes—
648#380C2314yes—
649#380C2312yes—
650#380C2312yes—
651#380C2312yes—
652#380C2314yes—
653#380C2314yes—
654#380C2312yes—
655#380C2314yes—
656#380C2314yes—
657#380C2314yes—
658#380C2312yes—
659#380C2312yes—
660#380C2314yes—
661#380C2314yes—
662#380C2312yes—
663#379C2312yes—
664#379C2314yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C22⋊C4C2314yes—
673C4×C22⋊C4C2314yes—
674C4×C22⋊C4C2314yes—
675C4×C22⋊C4C2314yes—
676C4×C22⋊C4C2312yes—
677C4×C22⋊C4C2312yes—
678C4×C22⋊C4C2312yes—
679C4×C22⋊C4C2312yes—
680C4×C22⋊C4C2314yes—
681C2×#95C2314yes—
682C2×#95C2314yes—
683C25C2411yescharacteristic
684C25C2411yescharacteristic
685C2×#41—24no—
686C2×#41—42no—
687C2×#41—42no—
688C22×Q8C2411yescharacteristic
689C22×D4—42no—
690C22×D4—44no—
691C22×D4C2412yes—
692C22×D4C2414yes—
693C22×D4C2412yes—
694C22×D4C2412yes—
695C22×D4C2414yes—
696C22×D4C2412yes—
697C22×D4C2412yes—
698C22×D4C2411yescharacteristic
699C22×D4C2412yes—
700C22×D4C2412yes—
701C22×D4C2412yes—
702C22×D4C2414yes—
703C22×D4C2414yes—
704C22×D4C2414yes—
705C22×D4C2414yes—
706C22×D4C2414yes—
707C22×D4C2414yes—
708C23×C4—24no—
709C23×C4—24no—
710C23×C4—24no—
711C23×C4—42no—
712C23×C4—42no—
713C23×C4—42no—
714C23×C4C2412yes—
715C23×C4C2412yes—
716C23×C4C2411yescharacteristic
717C23×C4C2412yes—
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2414yes—
724C23×C4C2414yes—
725C23×C4C2412yes—
726C23×C4C2411yescharacteristic
727C23×C4C2414yes—
728C23×C4C2412yes—
729C23×C4C2411yescharacteristic
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2414yes—
733C23×C4C2411yescharacteristic
734#127—42no—
735#126—48no—
736#126—48no—
737#126—48no—
738#125—28no—
739#125—42no—
740#125—42no—
741#125—48no—
742#125—42no—
743#125—44no—
744#125—44no—
745#125—84no—
746#123—44no—
747#123—48no—
748#123—48no—
749#123—44no—
750#123—48no—
751#123—48no—
752#123—84no—
753#123—84no—
754#123—84no—
755C22⋊Q8—42no—
756C22⋊Q8—44no—
757C22⋊Q8—42no—
758#121—28no—
759#121—28no—
760#121—42no—
761#121—48no—
762#121—44no—
763#121—48no—
764#121—44no—
765#121—44no—
766#121—44no—
767#121—44no—
768#121—44no—
769#121—44no—
770#121—48no—
771#121—48no—
772#121—44no—
773#121—48no—
774#121—42no—
775#121—48no—
776#121—48no—
777#121—84no—
778#121—84no—
779#121—84no—
780#121—84no—
781#121—84no—
782#120—44no—
783#120—48no—
784#120—44no—
785#120—84no—
786C4×D4—28no—
787C4×D4—28no—
788C4×D4—28no—
789C4×D4—28no—
790C4×D4—44no—
791C4×D4—44no—
792C4×D4—44no—
793C4×D4—44no—
794C4×D4—44no—
795C4×D4—44no—
796C4×D4—48no—
797C4×D4—44no—
798C4×D4—48no—
799C4×D4—48no—
800C4×D4—48no—
801C4×D4—48no—
802C4×D4—84no—
803#117—24no—
804#117—24no—
805#117—42no—
806#117—42no—
807#117—42no—
808#117—44no—
809#117—44no—
810#117—44no—
811#117—44no—
812#117—44no—
813C2×C4⋊C4—28no—
814C2×C4⋊C4—44no—
815C2×C4⋊C4—42no—
816C2×C4⋊C4—44no—
817C2×C4⋊C4—48no—
818C2×C4⋊C4—44no—
819C2×C4⋊C4—84no—
820C2×C4⋊C4—84no—
821C2×C4⋊C4—84no—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C22⋊C4—44no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—84no—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C42—24no—
942C2×C42—42no—
943C2×C42—42no—
944C2×C42C2411yescharacteristic
945C2×C42C2411yescharacteristic
946C2×C42C2412yes—
947C2×C42C2411yescharacteristic
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2412yes—
951C2×C42C2414yes—
952C2×C42C2414yes—
953C2×C42C2414yes—
954C2×C42C2412yes—
955C2×C42C2414yes—
956C2×C42C2414yes—
957C2×C42C2414yes—
958C2×C42C2411yescharacteristic
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2412yes—
969#95C2412yes—
970#95C2412yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2412yes—
975#95C2414yes—
976#95C2412yes—
977#95C2414yes—
978#95C2412yes—
979#95C2414yes—
980#95C2414yes—
981#95C2412yes—
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2412yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2412yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004C24—22no—
1005C24—22no—
1006C24—24no—
1007C24—22no—
1008C24—41no—
1009C24—41no—
1010C24—42no—
1011C24—42no—
1012C24—41no—
1013C24—42no—
1014C24C2511yescharacteristic
1015C24C2512yes—
1016C24C2514yes—
1017C24C2512yes—
1018C24C2511yescharacteristic
1019C24C2511yescharacteristic
1020#41—88no—
1021C2×Q8—22no—
1022C2×Q8—41no—
1023C2×Q8—41no—
1024C2×D4—24no—
1025C2×D4—24no—
1026C2×D4—28no—
1027C2×D4—24no—
1028C2×D4—28no—
1029C2×D4—28no—
1030C2×D4—24no—
1031C2×D4—24no—
1032C2×D4—24no—
1033C2×D4—28no—
1034C2×D4—24no—
1035C2×D4—24no—
1036C2×D4—24no—
1037C2×D4—24no—
1038C2×D4—24no—
1039C2×D4—22no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—44no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—44no—
1055C2×D4—42no—
1056C2×D4—44no—
1057C2×D4—42no—
1058C2×D4—42no—
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—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—416no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—24no—
1083C22×C4—28no—
1084C22×C4—22no—
1085C22×C4—28no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—22no—
1089C22×C4—24no—
1090C22×C4—22no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—28no—
1102C22×C4—24no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—42no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—42no—
1109C22×C4—416no—
1110C22×C4—41no—
1111C22×C4—42no—
1112C22×C4—41no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—42no—
1118C22×C4—44no—
1119C22×C4—42no—
1120C22×C4—44no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—41no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—88no—
1134C22×C4H(5,𝔽2)14yes—
1135C22×C42−1+414yes—
1136C22×C4C2514yes—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2512yes—
1140C22×C4C2511yescharacteristic
1141C22×C4C2512yes—
1142C22×C4C2514yes—
1143C22×C4C2514yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2514yes—
1147C22×C4C2512yes—
1148C22×C4C2514yes—
1149C22×C4C2512yes—
1150C22×C4C2514yes—
1151C22×C4C2514yes—
1152C22×C4C2512yes—
1153C22×C4C2511yescharacteristic
1154C22×C4C2512yes—
1155C22×C4C2511yescharacteristic
1156C22×C4C2511yescharacteristic
1157C4⋊C4—24no—
1158C4⋊C4—24no—
1159C4⋊C4—28no—
1160C4⋊C4—24no—
1161C4⋊C4—24no—
1162C4⋊C4—24no—
1163C4⋊C4—24no—
1164C4⋊C4—24no—
1165C4⋊C4—24no—
1166C4⋊C4—28no—
1167C4⋊C4—28no—
1168C4⋊C4—24no—
1169C4⋊C4—24no—
1170C4⋊C4—24no—
1171C4⋊C4—24no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
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—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—42no—
1211C22⋊C4—24no—
1212C22⋊C4—24no—
1213C22⋊C4—28no—
1214C22⋊C4—24no—
1215C22⋊C4—24no—
1216C22⋊C4—24no—
1217C22⋊C4—24no—
1218C22⋊C4—24no—
1219C22⋊C4—28no—
1220C22⋊C4—24no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—42no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
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—42no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—42no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—42no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C42—24no—
1273C42—22no—
1274C42—22no—
1275C42—22no—
1276C42—24no—
1277C42—24no—
1278C42—42no—
1279C42—42no—
1280C42—44no—
1281C42—44no—
1282C42—44no—
1283C42—44no—
1284C42—44no—
1285C42—44no—
1286C42H(5,𝔽2)14yes—
1287C23—21no—
1288C23—21no—
1289C23—22no—
1290C23—21no—
1291C23—21no—
1292C23—22no—
1293C23—22no—
1294C23—21no—
1295C23—24no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—24no—
1300C23—22no—
1301C23—21no—
1302C23—24no—
1303C23—21no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—24no—
1308C23—22no—
1309C23—24no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—24no—
1319C23—24no—
1320C23—44no—
1321C23—48no—
1322C23—44no—
1323C23—44no—
1324C23—82no—
1325C23—82no—
1326C23—84no—
1327C23—84no—
1328C23—82no—
1329C23—84no—
1330C23C2×H(5,𝔽2)12yes—
1331C23C2×2−1+412yes—
1332C23#58514yes—
1333C23C2611yescharacteristic
1334Q8—82no—
1335D4—48no—
1336D4—48no—
1337D4—416no—
1338D4—48no—
1339D4—48no—
1340D4—84no—
1341D4—82no—
1342D4—88no—
1343D4—84no—
1344D4—84no—
1345D4—84no—
1346D4—88no—
1347D4—164no—
1348D4—164no—
1349D4—164no—
1350D4—164no—
1351D4—164no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—28no—
1359C2×C4—28no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—22no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—21no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—24no—
1384C2×C4—22no—
1385C2×C4—24no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—24no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—44no—
1412C2×C4—48no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—48no—
1418C2×C4—48no—
1419C2×C4—88no—
1420C2×C4—84no—
1421C2×C4—88no—
1422C2×C4—88no—
1423C2×C4—84no—
1424C2×C4—82no—
1425C2×C4—82no—
1426C2×C4—164no—
1427C2×C4—164no—
1428C2×C4—164no—
1429C2×C4C2×H(5,𝔽2)14yes—
1430C2×C4C2×H(5,𝔽2)12yes—
1431C2×C4C2×H(5,𝔽2)12yes—
1432C2×C4C2×H(5,𝔽2)12yes—
1433C2×C4C2×2−1+412yes—
1434C2×C4C2×2−1+412yes—
1435C22—22no—
1436C22—22no—
1437C22—24no—
1438C22—24no—
1439C22—22no—
1440C22—24no—
1441C22—41no—
1442C22—41no—
1443C22—42no—
1444C22—41no—
1445C22—42no—
1446C22—42no—
1447C22—44no—
1448C22—41no—
1449C22—42no—
1450C22—44no—
1451C22—42no—
1452C22—44no—
1453C22—41no—
1454C22—42no—
1455C22—42no—
1456C22—44no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—44no—
1461C22—42no—
1462C22—42no—
1463C22—44no—
1464C22—44no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—88no—
1471C22—88no—
1472C22#353914yes—
1473C22C22×H(5,𝔽2)11yescharacteristic
1474C22C22×H(5,𝔽2)11yescharacteristic
1475C22C22×2−1+411yescharacteristic
1476C22C2×#58512yes—
1477C22H(7,𝔽2)12yes—
1478C4—22no—
1479C4—22no—
1480C4—24no—
1481C4—41no—
1482C4—42no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—44no—
1487C4—42no—
1488C4—44no—
1489C4—44no—
1490C4—42no—
1491C4—42no—
1492C4—44no—
1493C4—44no—
1494C4—42no—
1495C4—44no—
1496C4—42no—
1497C4—44no—
1498C4#353614yes—
1499C2—24no—
1500C2—42no—
1501C2—82no—
1502C2—84no—
1503C2—81no—
1504C2—82no—
1505C2C2×#353611yescharacteristic
1506C2C2×#353911yescharacteristic
1507C2#6288011yescharacteristic
1508C2#6295712yes—
1509C2#6295812yes—
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. #59304C2semidirect
2. #59139C2semidirect
3. #57479C2semidirect
4. #55508C2semidirect
5. #54540C2semidirect
6. #54351C2semidirect
7. #53134C2semidirect
8. #53062C2semidirect
9. #52472C2semidirect
10. #43269C2semidirect
11. #42662C2semidirect
12. #42445C2semidirect
13. #40782C2semidirect
14. #40669C2semidirect
15. #39742C2semidirect
16. #39692C2semidirect
17. #38973C2semidirect
18. #37846C2semidirect
19. #37836C2semidirect
20. #37515C2semidirect
21. #37481C2semidirect
22. #37425C2semidirect
23. #37283C2semidirect
24. #36157C2semidirect
25. #35261C2semidirect
26. #34737C2semidirect
27. C2×#2629C2semidirect
29. C2×#553C22semidirect
30. C2×#553C22semidirect
31. C2×#540C22semidirect
32. C22×#125C22semidirect
37. #2856C22semidirect
39. #2851C22semidirect
43. #2837C22semidirect
44. #2836C22semidirect
48. #2829C22semidirect
49. #2827C22semidirect
54. #2809C22semidirect
56. #2800C22semidirect
57. #2795C22semidirect
58. #2793C22semidirect
59. #2790C22semidirect
60. #2781C22semidirect
65. #2777C22semidirect
66. #2776C22semidirect
67. #2773C22semidirect
68. #2771C22semidirect
69. #2768C22semidirect
70. #2756C22semidirect
72. #2748C22semidirect
73. #2747C22semidirect
74. #2740C22semidirect
75. #2727C22semidirect
76. #2725C22semidirect
77. #2718C22semidirect
78. #2718C22semidirect
79. #2711C22semidirect
80. #2711C22semidirect
81. #2708C22semidirect
82. #2706C22semidirect
84. #2705C22semidirect
85. #2705C22semidirect
86. #2702C22semidirect
87. #2701C22semidirect
88. #2699C22semidirect
89. #2695C22semidirect
90. #2694C22semidirect
91. #2694C22semidirect
93. #2691C22semidirect
94. #2687C22semidirect
95. #2682C22semidirect
100. #2671C22semidirect
101. #2671C22semidirect
102. #2667C22semidirect
103. #2667C22semidirect
104. #2661C22semidirect
106. #2655C22semidirect
107. #2653C22semidirect
108. #2651C22semidirect
110. #2630C22semidirect
117. #2629C22semidirect
118. #2629C22semidirect
119. #2629C22semidirect
120. #2629C22semidirect
121. #2624C22semidirect
123. #2618C22semidirect
128. #2566C22semidirect
130. #2562C22semidirect
131. #2562C22semidirect
132. #2560C22semidirect
133. #2558C22semidirect
135. #2552C22semidirect
136. #2543C22semidirect
137. #2537C22semidirect
138. #2537C22semidirect
140. #2525C22semidirect
141. #2522C22semidirect
142. #2508C22semidirect
143. #2506C22semidirect
144. #2501C22semidirect
145. #2496C22semidirect
146. #2495C22semidirect
147. #2494C22semidirect
148. #2490C22semidirect
149. #2490C22semidirect
151. #2487C22semidirect
152. #2486C22semidirect
154. #2485C22semidirect
155. #2485C22semidirect
157. #2481C22semidirect
158. #2476C22semidirect
159. #2473C22semidirect
160. #2473C22semidirect
163. #2464C22semidirect
164. #2460C22semidirect
168. #2454C22semidirect
169. #2454C22semidirect
170. #2450C22semidirect
175. #2443C22semidirect
176. #2443C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
179. #2441C22semidirect
180. #2441C22semidirect
181. #2441C22semidirect
182. #2441C22semidirect
183. #2441C22semidirect
184. #2441C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
190. #2422C22semidirect
191. #2422C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
206. #2414C22semidirect
207. #2414C22semidirect
215. C2×#398C22semidirect
217. #2370C22semidirect
219. #2361C22semidirect
221. #2354C22semidirect
223. D4×C4⋊C4C22semidirect
224. D4×C4⋊C4C22semidirect
225. D4×C4⋊C4C22semidirect
226. #2325C22semidirect
229. #2318C22semidirect
230. #2314C22semidirect
235. C4×#121C22semidirect
238. C2×#389C22semidirect
239. C2×#384C22semidirect

Maximal subgroups

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

subgroupindex
#593042
#591392
#574792
#555082
#545402
#543512
#531342
#530622
#524722
#432692
#426622
#424452
#407822
#406692
#397422
#396922
#389732
#378462
#378362
#375152
#374812
#374252
#372832
#361572
#352612
#347372
C2×#26292