Finite Group Databasebeta

← #9230951

Subgroups — #9230951

Order 512.

6539 conjugacy classes of subgroups.

The subgroup lattice has 1495 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#56346C212yesmaximal, complemented
3#56303C214yesmaximal, complemented
4#53181C212yesmaximal, complemented
5#50736C214yesmaximal, complemented
6#50661C212yesmaximal, complemented
7#50634C214yesmaximal, complemented
8#48390C214yesmaximal, complemented
9#48109C214yesmaximal, complemented
10#46787C214yesmaximal, complemented
11#46350C212yesmaximal, complemented
12#43964C212yesmaximal, complemented
13#43098C214yesmaximal, complemented
14#43095C214yesmaximal, complemented
15#43001C214yesmaximal, complemented
16#42996C214yesmaximal, complemented
17#39358C212yesmaximal, complemented
18#38760C212yesmaximal, complemented
19#38424C212yesmaximal, complemented
20#37250C212yesmaximal, complemented
21#37249C211yesmaximal, characteristic, complemented
22#36498C211yesmaximal, characteristic, complemented
23#36362C212yesmaximal, complemented
24C2×#553C2212yescomplemented
25C2×#546C2212yescomplemented
26C2×#546C2214yescomplemented
27C2×D42C2214yescomplemented
28C2×D42C2214yescomplemented
29C2×D42C2214yescomplemented
30C2×D42C2212yescomplemented
31C2×#534C2214yescomplemented
32C2×#534C2214yescomplemented
33#2864C2211yescharacteristic, complemented
34#2861C2212yescomplemented
35#2856C2212yescomplemented
36#2854C2212yescomplemented
37#2850C2212yescomplemented
38#2825C2214yescomplemented
39#2812C2212yescomplemented
40#2812C2212yescomplemented
41#2808C2212yescomplemented
42#2804C2211yescharacteristic, complemented
43#2803C2214yescomplemented
44#2795C2212yescomplemented
45#2795C2214yescomplemented
46#2790C2214yescomplemented
47#2787C2214yescomplemented
48#2786C2214yescomplemented
49#2779C2214yescomplemented
50#2778C2214yescomplemented
51#2778C2214yescomplemented
52#2778C2214yescomplemented
53#2753C2214yescomplemented
54#2753C2214yescomplemented
55#2735C2212yescomplemented
56#2733C2212yescomplemented
57#2732C2212yescomplemented
58#2730C2214yescomplemented
59#2714C2214yescomplemented
60#2711C2214yescomplemented
61#2708C2214yescomplemented
62#2707C2214yescomplemented
63#2706C2214yescomplemented
64#2705C2214yescomplemented
65#2703C2214yescomplemented
66#2703C2214yescomplemented
67#2703C2214yescomplemented
68#2699C2214yescomplemented
69#2697C2214yescomplemented
70#2693C2212yescomplemented
71#2688C2214yescomplemented
72#2685C2214yescomplemented
73#2682C2212yescomplemented
74#2682C2212yescomplemented
75#2679C2211yescharacteristic, complemented
76#2679C2212yescomplemented
77#2679C2211yescharacteristic, complemented
78#2679C2211yescharacteristic, complemented
79#2678C2214yescomplemented
80#2678C2214yescomplemented
81#2678C2214yescomplemented
82#2678C2214yescomplemented
83#2678C2214yescomplemented
84#2678C2214yescomplemented
85#2678C2214yescomplemented
86#2676C2214yescomplemented
87#2676C2214yescomplemented
88#2675C2212yescomplemented
89#2675C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2671C2214yescomplemented
95#2671C2214yescomplemented
96#2670C2214yescomplemented
97#2670C2214yescomplemented
98#2669C2214yescomplemented
99#2669C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2212yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2668C2214yescomplemented
106#2668C2212yescomplemented
107#2667C2212yescomplemented
108#2661C2214yescomplemented
109#2653C2214yescomplemented
110#2635C2212yescomplemented
111#2630C2214yescomplemented
112#2630C2214yescomplemented
113#2617C2214yescomplemented
114#2602C2214yescomplemented
115#2597C2214yescomplemented
116#2576C2214yescomplemented
117#2569C2212yescomplemented
118#2566C2212yescomplemented
119#2554C2214yescomplemented
120#2554C2214yescomplemented
121#2544C2212yescomplemented
122#2543C2214yescomplemented
123#2539C2214yescomplemented
124#2537C2212yescomplemented
125#2537C2214yescomplemented
126#2535C2211yescharacteristic, complemented
127#2535C2211yescharacteristic, complemented
128#2534C2214yescomplemented
129#2534C2214yescomplemented
130#2516C2214yescomplemented
131#2502C2212yescomplemented
132#2500C2212yescomplemented
133#2497C2212yescomplemented
134#2480C2214yescomplemented
135#2476C2214yescomplemented
136#2472C2214yescomplemented
137#2464C2214yescomplemented
138#2464C2214yescomplemented
139#2464C2214yescomplemented
140#2464C2214yescomplemented
141#2464C2214yescomplemented
142#2463C2214yescomplemented
143#2459C2214yescomplemented
144#2457C2214yescomplemented
145#2456C2214yescomplemented
146#2456C2214yescomplemented
147#2456C2214yescomplemented
148#2456C2214yescomplemented
149#2456C2214yescomplemented
150#2455C2214yescomplemented
151#2450C2214yescomplemented
152#2445C2214yescomplemented
153#2444C2214yescomplemented
154#2443C2214yescomplemented
155#2433C2212yescomplemented
156#2433C2214yescomplemented
157#2433C2212yescomplemented
158#2431C2212yescomplemented
159#2428C2212yescomplemented
160#2428C2214yescomplemented
161#2425C2214yescomplemented
162#2425C2214yescomplemented
163#2424C2214yescomplemented
164#2424C2214yescomplemented
165#2424C2214yescomplemented
166#2424C2214yescomplemented
167#2424C2214yescomplemented
168#2422C2214yescomplemented
169#2418C2214yescomplemented
170#2416C2214yescomplemented
171#2411C2214yescomplemented
172#2410C2214yescomplemented
173#2410C2214yescomplemented
174#2410C2214yescomplemented
175#2410C2214yescomplemented
176#2410C2214yescomplemented
177#2410C2214yescomplemented
178#2410C2214yescomplemented
179#2408C2214yescomplemented
180#2408C2212yescomplemented
181#2408C2212yescomplemented
182#2408C2214yescomplemented
183#2408C2214yescomplemented
184#2408C2214yescomplemented
185#2408C2214yescomplemented
186#2405C2214yescomplemented
187#2405C2214yescomplemented
188#2404C2214yescomplemented
189#2403C2214yescomplemented
190#2403C2212yescomplemented
191#2403C2214yescomplemented
192#2403C2214yescomplemented
193#2403C2212yescomplemented
194#2403C2214yescomplemented
195C2×#392C2214yescomplemented
196C2×#392C2212yescomplemented
197#2377C2212yescomplemented
198#2376C2214yescomplemented
199#2364C2214yescomplemented
200#2358C2214yescomplemented
201#2358C2214yescomplemented
202#2358C2214yescomplemented
203#2357C2211yescharacteristic, complemented
204#2349C2211yescharacteristic, complemented
205D4×C22⋊C4C2212yescomplemented
206#2325C2214yescomplemented
207#2325C2214yescomplemented
208#2321C2212yescomplemented
209#2321C2214yescomplemented
210#2321C2214yescomplemented
211#2312C2212yescomplemented
212#2308C2212yescomplemented
213C4×#127C2212yescomplemented
214C4×#127C2211yescharacteristic, complemented
215C4×#121C2212yescomplemented
216#2297C2212yescomplemented
217C2×#390C2212yescomplemented
218C42×D4C2211yescharacteristic, complemented
219C22×#41C2312yes—
220C23×D4C2312yes—
221C23×D4C2312yes—
222C23×D4C2312yes—
223C23×D4C2314yes—
224C23×D4C2314yes—
225C23×D4C2314yes—
226C23×D4C2314yes—
227C23×D4C2314yes—
228C23×D4C2314yes—
229#553—48no—
230#546—48no—
231#546—416no—
232D42—48no—
233D42—416no—
234D42—416no—
235D42—416no—
236#534—416no—
237#534—416no—
238C2×#127C2311yescharacteristic
239C2×#127C2312yes—
240C2×#127C2314yes—
241C2×#127C2314yes—
242C2×#127C2312yes—
243C2×#126C2314yes—
244C2×#125C2312yes—
245C2×#124C2312yes—
246C2×#124C2314yes—
247C2×#124C2312yes—
248C2×#123C2314yes—
249C2×#123C2314yes—
250C2×#123C2314yes—
251C2×#123C2314yes—
252C2×#123C2314yes—
253C2×#123C2314yes—
254C2×#123C2314yes—
255C2×#123C2314yes—
256C2×#123C2314yes—
257C2×#123C2314yes—
258C2×#123C2314yes—
259C2×C22⋊Q8C2312yes—
260C2×C22⋊Q8C2314yes—
261C2×#121C2314yes—
262C2×#121C2314yes—
263C2×#121C2314yes—
264C2×#121C2312yes—
265C2×#121C2312yes—
266C2×#121C2314yes—
267C2×#121C2312yes—
268C2×#121C2312yes—
269C2×#121C2314yes—
270C2×#121C2312yes—
271C2×#121C2314yes—
272C2×#121C2314yes—
273C2×#121C2314yes—
274C2×#121C2314yes—
275C2×#121C2314yes—
276C2×#121C2314yes—
277C2×#121C2314yes—
278C2×#121C2314yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#121C2314yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2314yes—
289C2×#121C2312yes—
290C2×#120C2314yes—
291C2×#120C2314yes—
292C2×#120C2312yes—
293C2×#120C2314yes—
294C2×#120C2314yes—
295C2×#120C2314yes—
296C2×#120C2314yes—
297C2×#120C2314yes—
298C2×#120C2314yes—
299C2×#120C2314yes—
300C2×#120C2314yes—
301C2×#120C2314yes—
302C2×#120C2314yes—
303C2×#120C2314yes—
304C2×#120C2314yes—
305C2×#120C2314yes—
306C2×#120C2314yes—
307C2×#120C2314yes—
308C2×#120C2312yes—
309C2×#120C2314yes—
310C2×#120C2314yes—
311C2×#120C2312yes—
312C2×#120C2314yes—
313C2×#120C2314yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2314yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2314yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2314yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2314yes—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2312yes—
331C2×#117C2312yes—
332C22×C4⋊C4C2312yes—
333C22×C22⋊C4C2314yes—
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2314yes—
336C22×C22⋊C4C2314yes—
337C22×C22⋊C4C2314yes—
338C22×C22⋊C4C2314yes—
339C22×C22⋊C4C2314yes—
340C22×C42C2312yes—
341#401C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2312yes—
345#400C2314yes—
346#399C2312yes—
347#399C2314yes—
348#399C2314yes—
349#398C2314yes—
350#398C2314yes—
351#398C2314yes—
352#398C2314yes—
353#398C2314yes—
354#397C2312yes—
355#397C2314yes—
356#397C2314yes—
357#397C2314yes—
358#397C2312yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#397C2314yes—
363#397C2314yes—
364#397C2314yes—
365#396C2314yes—
366#396C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#396C2314yes—
371#396C2314yes—
372#396C2314yes—
373#396C2314yes—
374#396C2314yes—
375#394C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2312yes—
381#394C2314yes—
382#394C2312yes—
383#394C2314yes—
384#394C2314yes—
385#394C2314yes—
386#394C2314yes—
387#394C2314yes—
388#394C2314yes—
389#394C2314yes—
390#394C2314yes—
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2312yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#393C2314yes—
412#393C2314yes—
413#392C2314yes—
414#392C2314yes—
415#392C2314yes—
416#392C2314yes—
417#392C2314yes—
418#392C2314yes—
419#392C2314yes—
420#392C2314yes—
421#392C2312yes—
422#392C2314yes—
423#392C2314yes—
424#392C2314yes—
425#392C2314yes—
426#392C2314yes—
427#392C2314yes—
428#392C2314yes—
429#392C2314yes—
430#392C2314yes—
431#392C2314yes—
432#392C2314yes—
433#392C2314yes—
434#392C2314yes—
435#392C2314yes—
436#392C2314yes—
437#392C2314yes—
438#392C2314yes—
439#392C2312yes—
440#392C2312yes—
441#392C2314yes—
442#392C2314yes—
443#392C2314yes—
444#392C2312yes—
445#392C2314yes—
446#392C2314yes—
447#392C2312yes—
448#392C2314yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#390C2312yes—
453#390C2314yes—
454#390C2311yescharacteristic
455#390C2314yes—
456#390C2314yes—
457#390C2311yescharacteristic
458#390C2312yes—
459#390C2312yes—
460#390C2312yes—
461#390C2314yes—
462#390C2314yes—
463#390C2314yes—
464#390C2314yes—
465#390C2312yes—
466#390C2312yes—
467#390C2314yes—
468#390C2314yes—
469#390C2314yes—
470#390C2312yes—
471#390C2314yes—
472#390C2314yes—
473#390C2314yes—
474#390C2312yes—
475#390C2314yes—
476#390C2314yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2314yes—
481#389C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#386C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2312yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2312yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#384C2311yescharacteristic
580#384C2312yes—
581#384C2312yes—
582#382C2312yes—
583#382C2311yescharacteristic
584#382C2311yescharacteristic
585#381C2312yes—
586#381C2312yes—
587#381C2314yes—
588#380C2312yes—
589#380C2312yes—
590#380C2314yes—
591#380C2314yes—
592#380C2314yes—
593#380C2312yes—
594#380C2312yes—
595#380C2314yes—
596#380C2314yes—
597#380C2312yes—
598#379C2314yes—
599#379C2314yes—
600#379C2314yes—
601#379C2312yes—
602#379C2314yes—
603#379C2314yes—
604#379C2312yes—
605#379C2314yes—
606#379C2314yes—
607#379C2312yes—
608C4×C4⋊C4C2312yes—
609C4×C4⋊C4C2311yescharacteristic
610C4×C4⋊C4C2312yes—
611C4×C22⋊C4C2314yes—
612C4×C22⋊C4C2312yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2312yes—
617C4×C22⋊C4C2312yes—
618C4×C22⋊C4C2312yes—
619C4×C22⋊C4C2312yes—
620C2×#95C2312yes—
621C2×#95C2314yes—
622C43C2311yescharacteristic
623C25C2414yes—
624C25C2412yes—
625C25C2414yes—
626C25C2412yes—
627C25C2412yes—
628C2×#41—28no—
629C2×#41—44no—
630C2×#41—82no—
631C22×Q8C2412yes—
632C22×D4—28no—
633C22×D4—48no—
634C22×D4—48no—
635C22×D4—48no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4—48no—
640C22×D4—48no—
641C22×D4—48no—
642C22×D4—48no—
643C22×D4—48no—
644C22×D4—48no—
645C22×D4—48no—
646C22×D4—48no—
647C22×D4—48no—
648C22×D4—48no—
649C22×D4—48no—
650C22×D4—48no—
651C22×D4—48no—
652C22×D4—48no—
653C22×D4—48no—
654C22×D4—82no—
655C22×D4—84no—
656C22×D4—84no—
657C22×D4C2411yescharacteristic
658C22×D4C2412yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2412yes—
668C22×D4C2411yescharacteristic
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2412yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2412yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2412yes—
687C22×D4C2414yes—
688C22×D4C2411yescharacteristic
689C22×D4C2412yes—
690C23×C4C2412yes—
691C23×C4C2412yes—
692C23×C4C2414yes—
693C23×C4C2412yes—
694C23×C4C2414yes—
695C23×C4C2414yes—
696C23×C4C2412yes—
697C23×C4C2414yes—
698C23×C4C2414yes—
699C23×C4C2412yes—
700C23×C4C2412yes—
701C23×C4C2414yes—
702C23×C4C2414yes—
703C23×C4C2414yes—
704#127—24no—
705#127—28no—
706#127—48no—
707#127—48no—
708#127—82no—
709#126—48no—
710#125—44no—
711#124—44no—
712#124—48no—
713#124—82no—
714#123—216no—
715#123—48no—
716#123—48no—
717#123—48no—
718#123—48no—
719#123—48no—
720#123—48no—
721#123—48no—
722#123—48no—
723#123—48no—
724#123—48no—
725C22⋊Q8—48no—
726C22⋊Q8—44no—
727#121—28no—
728#121—216no—
729#121—216no—
730#121—216no—
731#121—44no—
732#121—48no—
733#121—48no—
734#121—44no—
735#121—48no—
736#121—48no—
737#121—48no—
738#121—48no—
739#121—48no—
740#121—48no—
741#121—48no—
742#121—48no—
743#121—48no—
744#121—48no—
745#121—48no—
746#121—48no—
747#121—48no—
748#121—48no—
749#121—48no—
750#121—48no—
751#121—48no—
752#121—44no—
753#121—48no—
754#121—44no—
755#121—82no—
756#120—28no—
757#120—216no—
758#120—216no—
759#120—216no—
760#120—216no—
761#120—48no—
762#120—48no—
763#120—48no—
764#120—44no—
765#120—48no—
766#120—48no—
767#120—48no—
768#120—48no—
769#120—44no—
770#120—48no—
771#120—48no—
772#120—48no—
773#120—48no—
774#120—48no—
775#120—48no—
776#120—48no—
777#120—48no—
778#120—48no—
779#120—84no—
780C4×D4—28no—
781C4×D4—42no—
782C4×D4—48no—
783C4×D4—48no—
784C4×D4—48no—
785C4×D4—42no—
786C4×D4—42no—
787C4×D4—44no—
788C4×D4—44no—
789C4×D4—48no—
790C4×D4—48no—
791C4×D4—48no—
792C4×D4—48no—
793C4×D4—48no—
794C4×D4—48no—
795C4×D4—48no—
796C4×D4—82no—
797#117—44no—
798C2×C4⋊C4—44no—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2412yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2412yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2412yes—
827C2×C22⋊C4—44no—
828C2×C22⋊C4—48no—
829C2×C22⋊C4—48no—
830C2×C22⋊C4—48no—
831C2×C22⋊C4—48no—
832C2×C22⋊C4—48no—
833C2×C22⋊C4—84no—
834C2×C22⋊C4C2412yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2412yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2412yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2412yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2412yes—
901C2×C42—82no—
902C2×C42C2412yes—
903C2×C42C2411yescharacteristic
904C2×C42C2412yes—
905C2×C42C2411yescharacteristic
906C2×C42C2414yes—
907C2×C42C2414yes—
908C2×C42C2414yes—
909C2×C42C2414yes—
910C2×C42C2412yes—
911C2×C42C2412yes—
912C2×C42C2412yes—
913C2×C42C2411yescharacteristic
914#95C2411yescharacteristic
915#95C2412yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2411yescharacteristic
922#95C2412yes—
923#95C2412yes—
924#95C2414yes—
925#95C2412yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2412yes—
936#95C2412yes—
937#95C2414yes—
938#95C2412yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2412yes—
944#95C2412yes—
945#95C2412yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949C24—28no—
950C24—28no—
951C24—28no—
952C24—28no—
953C24—28no—
954C24—24no—
955C24—44no—
956C24—44no—
957C24—42no—
958C24—42no—
959C24—44no—
960C24—44no—
961C24—44no—
962C24—44no—
963C24—42no—
964C24—44no—
965C24—44no—
966C24—44no—
967C24—44no—
968C24—44no—
969C24—42no—
970C24—44no—
971C24—44no—
972C24—44no—
973C24—42no—
974C24—42no—
975C24—44no—
976C24—42no—
977C24—42no—
978C24C2514yes—
979C24C2512yes—
980C24C2514yes—
981C24C2514yes—
982C24C2512yes—
983C24C2512yes—
984#41—816no—
985C2×Q8—24no—
986C2×Q8—42no—
987C2×Q8—42no—
988C2×D4—24no—
989C2×D4—28no—
990C2×D4—28no—
991C2×D4—28no—
992C2×D4—28no—
993C2×D4—28no—
994C2×D4—28no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—28no—
999C2×D4—28no—
1000C2×D4—28no—
1001C2×D4—28no—
1002C2×D4—28no—
1003C2×D4—28no—
1004C2×D4—28no—
1005C2×D4—28no—
1006C2×D4—28no—
1007C2×D4—28no—
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—28no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—22no—
1015C2×D4—24no—
1016C2×D4—24no—
1017C2×D4—28no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—42no—
1025C2×D4—41no—
1026C2×D4—41no—
1027C2×D4—41no—
1028C2×D4—42no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—42no—
1032C2×D4—44no—
1033C2×D4—42no—
1034C2×D4—44no—
1035C2×D4—41no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—42no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—41no—
1067C2×D4—44no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—44no—
1071C2×D4—42no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—42no—
1081C2×D4—816no—
1082C2×D4—816no—
1083C2×D4—832no—
1084C2×D4—832no—
1085C2×D4—816no—
1086C2×D4—832no—
1087C2×D4—832no—
1088C2×D4—832no—
1089C2×D4—832no—
1090C2×D4H(5,𝔽2)14yes—
1091C2×D4H(5,𝔽2)18yes—
1092C22×C4—24no—
1093C22×C4—28no—
1094C22×C4—28no—
1095C22×C4—24no—
1096C22×C4—24no—
1097C22×C4—24no—
1098C22×C4—24no—
1099C22×C4—28no—
1100C22×C4—28no—
1101C22×C4—28no—
1102C22×C4—24no—
1103C22×C4—24no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—44no—
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×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—42no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—42no—
1130C22×C4—44no—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2514yes—
1134C22×C4C2514yes—
1135C22×C4C2514yes—
1136C22×C4C2512yes—
1137C22×C4C2514yes—
1138C22×C4C2514yes—
1139C22×C4C2512yes—
1140C22×C4C2514yes—
1141C22×C4C2514yes—
1142C22×C4C2511yescharacteristic
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2511yescharacteristic
1146C22×C4C2512yes—
1147C22×C4C2511yescharacteristic
1148C4⋊C4—28no—
1149C4⋊C4—24no—
1150C4⋊C4—28no—
1151C4⋊C4—28no—
1152C4⋊C4—28no—
1153C4⋊C4—28no—
1154C4⋊C4—24no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—42no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—24no—
1182C22⋊C4—28no—
1183C22⋊C4—24no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—28no—
1187C22⋊C4—28no—
1188C22⋊C4—28no—
1189C22⋊C4—28no—
1190C22⋊C4—28no—
1191C22⋊C4—28no—
1192C22⋊C4—28no—
1193C22⋊C4—28no—
1194C22⋊C4—28no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—28no—
1198C22⋊C4—24no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—42no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—42no—
1229C22⋊C4—44no—
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⋊C4H(5,𝔽2)18yes—
1243C42—24no—
1244C42—22no—
1245C42—24no—
1246C42—22no—
1247C42—41no—
1248C42—42no—
1249C42—42no—
1250C42—42no—
1251C42—44no—
1252C42—44no—
1253C42—44no—
1254C42—44no—
1255C23—22no—
1256C23—24no—
1257C23—24no—
1258C23—24no—
1259C23—24no—
1260C23—22no—
1261C23—24no—
1262C23—22no—
1263C23—24no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—24no—
1268C23—22no—
1269C23—22no—
1270C23—24no—
1271C23—24no—
1272C23—24no—
1273C23—24no—
1274C23—24no—
1275C23—24no—
1276C23—24no—
1277C23—24no—
1278C23—24no—
1279C23—24no—
1280C23—24no—
1281C23—24no—
1282C23—22no—
1283C23—24no—
1284C23—24no—
1285C23—22no—
1286C23—24no—
1287C23—24no—
1288C23—22no—
1289C23—24no—
1290C23—416no—
1291C23—416no—
1292C23—48no—
1293C23—88no—
1294C23—88no—
1295C23—88no—
1296C23—88no—
1297C23—88no—
1298C23—88no—
1299C23—88no—
1300C23—88no—
1301C23—88no—
1302C23—88no—
1303C23—88no—
1304C23—84no—
1305C23—88no—
1306C23—88no—
1307C23—84no—
1308C23—164no—
1309C23—162no—
1310C23—164no—
1311C23—162no—
1312C23—162no—
1313C23—164no—
1314C23—164no—
1315C23—162no—
1316C23—162no—
1317C23—164no—
1318C23—162no—
1319C23C2×H(5,𝔽2)14yes—
1320C23C2×H(5,𝔽2)18yes—
1321C23C2×H(5,𝔽2)14yes—
1322C23C2611yescharacteristic
1323Q8—84no—
1324D4—48no—
1325D4—44no—
1326D4—416no—
1327D4—416no—
1328D4—416no—
1329D4—416no—
1330D4—44no—
1331D4—48no—
1332D4—416no—
1333D4—416no—
1334D4—416no—
1335D4—416no—
1336D4—84no—
1337D4—82no—
1338D4—84no—
1339D4—88no—
1340D4—88no—
1341D4—88no—
1342D4—88no—
1343D4—88no—
1344D4—88no—
1345D4—88no—
1346D4—88no—
1347D4—88no—
1348D4—88no—
1349D4—88no—
1350D4—88no—
1351D4—84no—
1352D4—88no—
1353D4—88no—
1354D4—162no—
1355D4—164no—
1356D4—164no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—24no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—22no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—24no—
1384C2×C4—24no—
1385C2×C4—24no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—24no—
1390C2×C4—21no—
1391C2×C4—24no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—48no—
1400C2×C4—48no—
1401C2×C4—84no—
1402C2×C4—88no—
1403C2×C4—88no—
1404C2×C4—84no—
1405C2×C4—84no—
1406C2×C4—88no—
1407C2×C4—88no—
1408C2×C4—88no—
1409C2×C4—88no—
1410C2×C4—88no—
1411C2×C4—164no—
1412C2×C4—162no—
1413C2×C4C2×H(5,𝔽2)12yes—
1414C2×C4C2×H(5,𝔽2)14yes—
1415C2×C4C2×H(5,𝔽2)14yes—
1416C2×C4C2×H(5,𝔽2)14yes—
1417C2×C4#58512yes—
1418C22—28no—
1419C22—28no—
1420C22—24no—
1421C22—28no—
1422C22—24no—
1423C22—24no—
1424C22—28no—
1425C22—24no—
1426C22—44no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—44no—
1432C22—42no—
1433C22—44no—
1434C22—44no—
1435C22—42no—
1436C22—44no—
1437C22—44no—
1438C22—44no—
1439C22—44no—
1440C22—44no—
1441C22—44no—
1442C22—42no—
1443C22—44no—
1444C22—44no—
1445C22—44no—
1446C22—42no—
1447C22—44no—
1448C22—44no—
1449C22—44no—
1450C22—44no—
1451C22—44no—
1452C22—44no—
1453C22—42no—
1454C22—44no—
1455C22—44no—
1456C22—1616no—
1457C22—1616no—
1458C22—168no—
1459C22—168no—
1460C22—168no—
1461C22C22×H(5,𝔽2)11yescharacteristic
1462C22C22×H(5,𝔽2)12yes—
1463C22C22×H(5,𝔽2)12yes—
1464C22C2×#58511yescharacteristic
1465C22H(7,𝔽2)11yescharacteristic
1466C4—24no—
1467C4—22no—
1468C4—24no—
1469C4—24no—
1470C4—22no—
1471C4—44no—
1472C4—44no—
1473C4—44no—
1474C4—44no—
1475C4—42no—
1476C4—42no—
1477C4—44no—
1478C4—41no—
1479C4—42no—
1480C4—44no—
1481C4—44no—
1482C4—42no—
1483C2—44no—
1484C2—48no—
1485C2—44no—
1486C2—84no—
1487C2—84no—
1488C2—82no—
1489C2#6283411yescharacteristic
1490C2#6289212yes—
1491C2#6290511yescharacteristic
1492C2#6301112yes—
1493C2#6301211yescharacteristic
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. #59816C2semidirect
2. #56346C2semidirect
3. #56303C2semidirect
4. #53181C2semidirect
5. #50736C2semidirect
6. #50661C2semidirect
7. #50634C2semidirect
8. #48390C2semidirect
9. #48109C2semidirect
10. #46787C2semidirect
11. #46350C2semidirect
12. #43964C2semidirect
13. #43098C2semidirect
14. #43095C2semidirect
15. #43001C2semidirect
16. #42996C2semidirect
17. #39358C2semidirect
18. #38760C2semidirect
19. #38424C2semidirect
20. #37250C2semidirect
21. #37249C2semidirect
22. #36498C2semidirect
23. #36362C2semidirect
24. C2×#553C22semidirect
25. C2×#546C22semidirect
26. C2×#546C22semidirect
27. C2×D42C22semidirect
28. C2×D42C22semidirect
29. C2×D42C22semidirect
30. C2×D42C22semidirect
31. C2×#534C22semidirect
32. C2×#534C22semidirect
33. #2864C22semidirect
34. #2861C22semidirect
35. #2856C22semidirect
36. #2854C22semidirect
37. #2850C22semidirect
38. #2825C22semidirect
39. #2812C22semidirect
40. #2812C22semidirect
41. #2808C22semidirect
42. #2804C22semidirect
43. #2803C22semidirect
44. #2795C22semidirect
45. #2795C22semidirect
46. #2790C22semidirect
47. #2787C22semidirect
48. #2786C22semidirect
49. #2779C22semidirect
50. #2778C22semidirect
51. #2778C22semidirect
52. #2778C22semidirect
53. #2753C22semidirect
54. #2753C22semidirect
55. #2735C22semidirect
56. #2733C22semidirect
57. #2732C22semidirect
58. #2730C22semidirect
59. #2714C22semidirect
60. #2711C22semidirect
61. #2708C22semidirect
62. #2707C22semidirect
63. #2706C22semidirect
64. #2705C22semidirect
65. #2703C22semidirect
66. #2703C22semidirect
67. #2703C22semidirect
68. #2699C22semidirect
69. #2697C22semidirect
70. #2693C22semidirect
71. #2688C22semidirect
72. #2685C22semidirect
73. #2682C22semidirect
74. #2682C22semidirect
75. #2679C22semidirect
76. #2679C22semidirect
77. #2679C22semidirect
78. #2679C22semidirect
79. #2678C22semidirect
80. #2678C22semidirect
81. #2678C22semidirect
82. #2678C22semidirect
83. #2678C22semidirect
84. #2678C22semidirect
85. #2678C22semidirect
86. #2676C22semidirect
87. #2676C22semidirect
88. #2675C22semidirect
89. #2675C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2671C22semidirect
95. #2671C22semidirect
96. #2670C22semidirect
97. #2670C22semidirect
98. #2669C22semidirect
99. #2669C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2668C22semidirect
106. #2668C22semidirect
107. #2667C22semidirect
108. #2661C22semidirect
109. #2653C22semidirect
110. #2635C22semidirect
111. #2630C22semidirect
112. #2630C22semidirect
113. #2617C22semidirect
114. #2602C22semidirect
115. #2597C22semidirect
116. #2576C22semidirect
117. #2569C22semidirect
118. #2566C22semidirect
119. #2554C22semidirect
120. #2554C22semidirect
121. #2544C22semidirect
122. #2543C22semidirect
123. #2539C22semidirect
124. #2537C22semidirect
125. #2537C22semidirect
126. #2535C22semidirect
127. #2535C22semidirect
128. #2534C22semidirect
129. #2534C22semidirect
130. #2516C22semidirect
131. #2502C22semidirect
132. #2500C22semidirect
133. #2497C22semidirect
134. #2480C22semidirect
135. #2476C22semidirect
136. #2472C22semidirect
137. #2464C22semidirect
138. #2464C22semidirect
139. #2464C22semidirect
140. #2464C22semidirect
141. #2464C22semidirect
142. #2463C22semidirect
143. #2459C22semidirect
144. #2457C22semidirect
145. #2456C22semidirect
146. #2456C22semidirect
147. #2456C22semidirect
148. #2456C22semidirect
149. #2456C22semidirect
150. #2455C22semidirect
151. #2450C22semidirect
152. #2445C22semidirect
153. #2444C22semidirect
154. #2443C22semidirect
155. #2433C22semidirect
156. #2433C22semidirect
157. #2433C22semidirect
158. #2431C22semidirect
159. #2428C22semidirect
160. #2428C22semidirect
161. #2425C22semidirect
162. #2425C22semidirect
163. #2424C22semidirect
164. #2424C22semidirect
165. #2424C22semidirect
166. #2424C22semidirect
167. #2424C22semidirect
168. #2422C22semidirect
169. #2418C22semidirect
170. #2416C22semidirect
171. #2411C22semidirect
172. #2410C22semidirect
173. #2410C22semidirect
174. #2410C22semidirect
175. #2410C22semidirect
176. #2410C22semidirect
177. #2410C22semidirect
178. #2410C22semidirect
179. #2408C22semidirect
180. #2408C22semidirect
181. #2408C22semidirect
182. #2408C22semidirect
183. #2408C22semidirect
184. #2408C22semidirect
185. #2408C22semidirect
186. #2405C22semidirect
187. #2405C22semidirect
188. #2404C22semidirect
189. #2403C22semidirect
190. #2403C22semidirect
191. #2403C22semidirect
192. #2403C22semidirect
193. #2403C22semidirect
194. #2403C22semidirect
195. C2×#392C22semidirect
196. C2×#392C22semidirect
197. #2377C22semidirect
198. #2376C22semidirect
199. #2364C22semidirect
200. #2358C22semidirect
201. #2358C22semidirect
202. #2358C22semidirect
203. #2357C22semidirect
204. #2349C22semidirect
205. D4×C22⋊C4C22semidirect
206. #2325C22semidirect
207. #2325C22semidirect
208. #2321C22semidirect
209. #2321C22semidirect
210. #2321C22semidirect
211. #2312C22semidirect
212. #2308C22semidirect
213. C4×#127C22semidirect
214. C4×#127C22semidirect
215. C4×#121C22semidirect
216. #2297C22semidirect
217. C2×#390C22semidirect
218. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598162
#563462
#563032
#531812
#507362
#506612
#506342
#483902
#481092
#467872
#463502
#439642
#430982
#430952
#430012
#429962
#393582
#387602
#384242
#372502
#372492
#364982
#363622