Finite Group Databasebeta

← #7683496

Subgroups — #7683496

Order 512.

6744 conjugacy classes of subgroups.

The subgroup lattice has 1525 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60034C212yesmaximal, complemented
2#59973C212yesmaximal, complemented
3#59940C212yesmaximal, complemented
4#59886C212yesmaximal, complemented
5#59779C214yesmaximal, complemented
6#59173C212yesmaximal, complemented
7#59162C212yesmaximal, complemented
8#59143C211yesmaximal, characteristic, complemented
9#59126C211yesmaximal, characteristic, complemented
10#59089C212yesmaximal, complemented
11#59045C214yesmaximal, complemented
12#44282C214yesmaximal, complemented
13#44260C214yesmaximal, complemented
14#44193C214yesmaximal, complemented
15#44148C214yesmaximal, complemented
16#43964C214yesmaximal, complemented
17#43893C214yesmaximal, complemented
18#35375C214yesmaximal, complemented
19#35355C212yesmaximal, complemented
20#34736C212yesmaximal, complemented
21C2×#2431C211yesmaximal, characteristic, complemented
22#34290C214yesmaximal, complemented
23#34277C212yesmaximal, complemented
24C23×#41C2211yescharacteristic, complemented
25C2×#559C2211yescharacteristic, complemented
26C2×#551C2212yescomplemented
27C2×D42C2214yes—
28C2×D42C2211yescharacteristic, complemented
29C2×#538C2212yes—
30C22×#127C2211yescharacteristic
31C22×#124C2211yescharacteristic, complemented
32C2×#525C2212yescomplemented
33C2×#525C2212yescomplemented
34C22×#121C2211yescharacteristic, complemented
35C2×#518C2212yescomplemented
36C22×C4×D4C2212yescomplemented
37#2806C2212yescomplemented
38#2805C2212yescomplemented
39#2804C2212yescomplemented
40#2803C2214yescomplemented
41#2803C2214yescomplemented
42#2797C2214yescomplemented
43#2753C2214yescomplemented
44#2753C2214yescomplemented
45#2748C2212yescomplemented
46#2732C2212yescomplemented
47#2730C2214yescomplemented
48#2717C2212yescomplemented
49#2714C2214yescomplemented
50#2714C2214yescomplemented
51#2714C2214yescomplemented
52#2714C2214yescomplemented
53#2709C2212yescomplemented
54#2709C2212yescomplemented
55#2703C2214yescomplemented
56#2703C2214yescomplemented
57#2703C2214yescomplemented
58#2703C2214yescomplemented
59#2697C2212yescomplemented
60#2684C2212yescomplemented
61#2673C2214yescomplemented
62#2673C2214yescomplemented
63#2670C2214yescomplemented
64#2670C2214yescomplemented
65#2669C2212yescomplemented
66#2669C2212yescomplemented
67#2610C2214yescomplemented
68#2603C2214yescomplemented
69#2602C2214yescomplemented
70#2602C2214yescomplemented
71#2597C2214yescomplemented
72#2595C2214yescomplemented
73#2589C2214yescomplemented
74#2579C2214yescomplemented
75#2574C2214yescomplemented
76#2569C2214yescomplemented
77#2564C2214yescomplemented
78#2559C2214yescomplemented
79#2557C2214yescomplemented
80#2557C2214yescomplemented
81#2555C2214yescomplemented
82#2555C2214yescomplemented
83#2554C2214yescomplemented
84#2554C2214yescomplemented
85#2554C2214yescomplemented
86#2548C2212yescomplemented
87#2544C2214yescomplemented
88#2543C2214yescomplemented
89#2543C2214yescomplemented
90#2541C2212yescomplemented
91#2539C2214yescomplemented
92#2539C2214yescomplemented
93#2531C2214yescomplemented
94#2531C2214yescomplemented
95#2526C2214yescomplemented
96#2521C2214yescomplemented
97#2521C2214yescomplemented
98#2520C2214yescomplemented
99#2516C2214yescomplemented
100#2480C2214yescomplemented
101#2480C2214yescomplemented
102#2479C2214yescomplemented
103#2476C2214yescomplemented
104#2476C2214yescomplemented
105#2476C2214yescomplemented
106#2474C2214yescomplemented
107#2472C2214yescomplemented
108#2471C2214yescomplemented
109#2471C2214yescomplemented
110#2467C2214yescomplemented
111#2467C2214yescomplemented
112#2467C2214yescomplemented
113#2465C2214yescomplemented
114#2464C2214yescomplemented
115#2464C2214yescomplemented
116#2461C2214yescomplemented
117#2459C2214yescomplemented
118#2456C2214yescomplemented
119#2456C2214yescomplemented
120#2456C2214yescomplemented
121#2456C2214yescomplemented
122#2450C2214yescomplemented
123#2445C2214yescomplemented
124#2444C2214yescomplemented
125#2435C2214yescomplemented
126#2433C2214yescomplemented
127#2431C2212yes—
128#2431C2212yescomplemented
129#2431C2214yescomplemented
130#2431C2214yescomplemented
131#2431C2212yescomplemented
132#2431C2212yescomplemented
133#2428C2214yescomplemented
134#2425C2214yescomplemented
135#2424C2214yescomplemented
136#2424C2214yescomplemented
137#2418C2214yescomplemented
138#2418C2214yescomplemented
139#2411C2214yescomplemented
140#2410C2214yescomplemented
141#2410C2214yescomplemented
142#2409C2214yescomplemented
143#2408C2214yes—
144#2408C2214yescomplemented
145#2408C2214yescomplemented
146#2407C2214yescomplemented
147#2407C2214yescomplemented
148#2406C2212yescomplemented
149#2406C2212yescomplemented
150#2405C2212yescomplemented
151#2405C2212yescomplemented
152#2405C2212yescomplemented
153#2405C2212yescomplemented
154#2404C2212yescomplemented
155#2404C2212yescomplemented
156#2403C2212yes—
157#2403C2212yes—
158#2403C2212yescomplemented
159#2403C2212yescomplemented
160#2388C2214yescomplemented
161#2388C2214yescomplemented
162C2×#392C2214yescomplemented
163#2374C2212yescomplemented
164#2374C2214yescomplemented
165#2373C2214yescomplemented
166#2373C2214yescomplemented
167#2372C2212yescomplemented
168#2372C2214yescomplemented
169#2368C2214yescomplemented
170#2367C2214yescomplemented
171#2366C2211yescharacteristic, complemented
172#2366C2211yescharacteristic, complemented
173#2366C2214yescomplemented
174#2364C2214yes—
175#2364C2214yescomplemented
176#2364C2214yescomplemented
177#2363C2214yescomplemented
178#2363C2214yescomplemented
179#2361C2214yescomplemented
180#2359C2214yescomplemented
181#2358C2214yescomplemented
182#2358C2212yescomplemented
183#2358C2214yescomplemented
184#2358C2214yescomplemented
185#2358C2214yescomplemented
186#2352C2214yescomplemented
187#2349C2214yescomplemented
188D4×C22⋊C4C2214yescomplemented
189D4×C22⋊C4C2214yescomplemented
190D4×C22⋊C4C2214yescomplemented
191D4×C22⋊C4C2214yescomplemented
192#2329C2212yescomplemented
193#2328C2214yescomplemented
194#2325C2212yes—
195#2325C2214yescomplemented
196#2324C2214yescomplemented
197#2321C2214yescomplemented
198#2321C2214yescomplemented
199#2321C2214yescomplemented
200#2312C2212yescomplemented
201#2312C2212yescomplemented
202C4×C22⋊Q8C2212yescomplemented
203C4×#121C2212yes—
204C4×#121C2214yescomplemented
205C4×#120C2214yescomplemented
206C4×#120C2214yescomplemented
207C4×#120C2214yescomplemented
208#2297C2212yescomplemented
209#2297C2212yescomplemented
210C2×#391C2211yescharacteristic, complemented
211C2×#390C2211yescharacteristic, complemented
212#2290C2214yescomplemented
213#2290C2214yescomplemented
214C2×#386C2214yescomplemented
215C2×#386C2214yescomplemented
216#2280C2212yescomplemented
217#2275C2214yescomplemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C22×#41—44no—
220C22×#41—44no—
221C22×#41—44no—
222C22×#41C2312yes—
223C22×#41C2312yes—
224C22×#41C2312yes—
225C22×#41C2312yes—
226C23×Q8C2311yescharacteristic
227C23×D4C2312yes—
228C23×D4C2312yes—
229C23×D4C2311yescharacteristic
230C23×D4C2314yes—
231C23×D4C2314yes—
232C23×D4C2312yes—
233C23×D4C2311yescharacteristic
234C23×D4C2312yes—
235C24×C4C2312yes—
236C24×C4C2311yescharacteristic
237C24×C4C2312yes—
238#559—44no—
239#551—48no—
240D42—232no—
241D42—44no—
242#538—216no—
243C2×#127—44no—
244C2×#127C2314yes—
245C2×#127C2311yescharacteristic
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2314yes—
249C2×#127C2311yescharacteristic
250C2×#126C2314yes—
251C2×#126C2314yes—
252C2×#126C2314yes—
253C2×#124—44no—
254C2×#124C2314yes—
255C2×#124C2312yes—
256C2×#124C2312yes—
257C2×#124C2312yes—
258C2×#124C2312yes—
259C2×#124C2314yes—
260C2×#124C2314yes—
261#525—48no—
262#525—48no—
263C2×#123C2314yes—
264C2×#123C2312yes—
265C2×#123C2312yes—
266C2×#123C2312yes—
267C2×#123C2312yes—
268C2×#123C2312yes—
269C2×#123C2312yes—
270C2×#123C2314yes—
271C2×#123C2314yes—
272C2×#123C2314yes—
273C2×C22⋊Q8C2312yes—
274C2×C22⋊Q8C2314yes—
275C2×C22⋊Q8C2314yes—
276C2×#121—44no—
277C2×#121C2314yes—
278C2×#121C2314yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#121C2314yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2312yes—
285C2×#121C2314yes—
286C2×#121C2312yes—
287C2×#121C2314yes—
288C2×#121C2314yes—
289C2×#121C2314yes—
290C2×#121C2312yes—
291C2×#120C2314yes—
292C2×#120C2314yes—
293C2×#120C2314yes—
294C2×#120C2312yes—
295C2×#120C2314yes—
296C2×#120C2314yes—
297C2×#120C2312yes—
298C2×#120C2312yes—
299C2×#120C2312yes—
300C2×#120C2312yes—
301C2×#120C2312yes—
302C2×#120C2314yes—
303#518—48no—
304C2×C4×Q8C2312yes—
305C2×C4×D4—48no—
306C2×C4×D4C2314yes—
307C2×C4×D4C2314yes—
308C2×C4×D4C2314yes—
309C2×C4×D4C2314yes—
310C2×C4×D4C2314yes—
311C2×C4×D4C2314yes—
312C2×C4×D4C2314yes—
313C2×C4×D4C2314yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2314yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2314yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2314yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×#117C2314yes—
326C2×#117C2314yes—
327C2×#117C2312yes—
328C2×#117C2312yes—
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2312yes—
331C22×C22⋊C4C2312yes—
332C22×C22⋊C4C2312yes—
333C22×C22⋊C4C2314yes—
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2312yes—
336C22×C22⋊C4C2312yes—
337C22×C22⋊C4C2314yes—
338C22×C22⋊C4C2314yes—
339C22×C22⋊C4C2314yes—
340C22×C22⋊C4C2314yes—
341C22×C42C2312yes—
342C22×C42C2311yescharacteristic
343C22×C42C2311yescharacteristic
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#399C2314yes—
348#399C2314yes—
349#399C2314yes—
350#398C2314yes—
351#398C2314yes—
352#398C2314yes—
353#398C2314yes—
354#397C2314yes—
355#397C2314yes—
356#397C2314yes—
357#397C2314yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#396C2314yes—
363#396C2314yes—
364#396C2314yes—
365#396C2314yes—
366#395C2314yes—
367#395C2314yes—
368#395C2314yes—
369#394C2314yes—
370#394C2314yes—
371#394C2314yes—
372#394C2314yes—
373#394C2314yes—
374#394C2314yes—
375#394C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2314yes—
381#394C2314yes—
382#394C2314yes—
383#394C2314yes—
384#394C2314yes—
385#394C2314yes—
386#394C2314yes—
387#394C2314yes—
388#394C2314yes—
389#394C2314yes—
390#394C2314yes—
391#393C2314yes—
392#393C2314yes—
393#393C2314yes—
394#392C2314yes—
395#392C2314yes—
396#392C2314yes—
397#392C2314yes—
398#392C2314yes—
399#392C2314yes—
400#392C2314yes—
401#392C2314yes—
402#392C2314yes—
403#392C2314yes—
404#392C2314yes—
405#392C2314yes—
406#392C2314yes—
407#392C2314yes—
408#392C2314yes—
409#392C2314yes—
410#392C2314yes—
411#392C2314yes—
412#392C2314yes—
413#392C2314yes—
414#392C2314yes—
415#392C2314yes—
416#391C2312yes—
417#391C2314yes—
418#391C2312yes—
419#391C2314yes—
420#391C2312yes—
421#391C2314yes—
422#391C2312yes—
423#391C2312yes—
424#390C2314yes—
425#390C2314yes—
426#390C2314yes—
427#390C2314yes—
428#390C2314yes—
429#390C2314yes—
430#390C2314yes—
431#390C2314yes—
432#390C2314yes—
433#390C2314yes—
434#390C2314yes—
435#390C2314yes—
436#390C2314yes—
437#390C2314yes—
438#390C2314yes—
439#390C2314yes—
440#390C2314yes—
441#390C2312yes—
442#390C2312yes—
443#390C2314yes—
444#390C2314yes—
445#390C2314yes—
446#390C2314yes—
447#390C2312yes—
448#389C2314yes—
449#389C2314yes—
450#389C2314yes—
451#389C2312yes—
452#389C2312yes—
453#388C2314yes—
454#388C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2314yes—
465#388C2314yes—
466#388C2314yes—
467#388C2314yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#387C2314yes—
490#387C2314yes—
491#387C2314yes—
492#387C2314yes—
493#387C2314yes—
494#387C2314yes—
495#387C2314yes—
496#387C2314yes—
497#387C2314yes—
498#387C2314yes—
499#387C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#386C2314yes—
506#386C2314yes—
507#386C2314yes—
508#386C2314yes—
509#386C2314yes—
510#386C2314yes—
511#386C2314yes—
512#386C2314yes—
513#386C2314yes—
514#386C2314yes—
515#386C2314yes—
516#386C2314yes—
517#386C2314yes—
518#386C2314yes—
519#386C2314yes—
520#386C2314yes—
521#386C2314yes—
522#386C2314yes—
523#386C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2312yes—
530#386C2314yes—
531#386C2312yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2312yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2312yes—
544#386C2312yes—
545#386C2312yes—
546#386C2312yes—
547#386C2312yes—
548#386C2312yes—
549#386C2312yes—
550#386C2312yes—
551#386C2314yes—
552#386C2312yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#382C2314yes—
574#381C2312yes—
575#381C2312yes—
576#380C2314yes—
577#380C2314yes—
578#380C2312yes—
579#380C2312yes—
580#380C2314yes—
581#380C2314yes—
582#380C2314yes—
583#380C2314yes—
584#379C2314yes—
585#379C2312yes—
586#379C2312yes—
587#379C2314yes—
588#379C2314yes—
589#379C2314yes—
590#379C2314yes—
591#379C2312yes—
592#379C2312yes—
593C4×C4⋊C4C2314yes—
594C4×C4⋊C4C2314yes—
595C4×C4⋊C4C2312yes—
596C4×C4⋊C4C2314yes—
597C4×C4⋊C4C2314yes—
598C4×C4⋊C4C2314yes—
599C4×C4⋊C4C2312yes—
600C4×C4⋊C4C2314yes—
601C4×C22⋊C4C2314yes—
602C4×C22⋊C4C2314yes—
603C4×C22⋊C4C2314yes—
604C4×C22⋊C4C2314yes—
605C4×C22⋊C4C2314yes—
606C4×C22⋊C4C2314yes—
607C4×C22⋊C4C2314yes—
608C4×C22⋊C4C2314yes—
609C4×C22⋊C4C2314yes—
610C4×C22⋊C4C2314yes—
611C4×C22⋊C4C2314yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2314yes—
619C4×C22⋊C4C2312yes—
620C4×C22⋊C4C2312yes—
621C4×C22⋊C4C2314yes—
622C4×C22⋊C4C2314yes—
623#376C2314yes—
624#376C2314yes—
625C2×#95C2314yes—
626C2×#95C2312yes—
627C2×#95C2314yes—
628C2×#95C2314yes—
629C25C2412yes—
630C25C2412yes—
631C25C2412yes—
632C25C2411yescharacteristic
633C25C2412yes—
634C2×#41—28no—
635C2×#41—28no—
636C2×#41—44no—
637C2×#41—44no—
638C2×#41—44no—
639C2×#41—44no—
640C2×#41—44no—
641C2×#41—44no—
642C2×#41—44no—
643C2×#41—44no—
644C2×#41—44no—
645C2×#41—44no—
646C2×#41—464no—
647C22×Q8—24no—
648C22×Q8—42no—
649C22×Q8—42no—
650C22×Q8C2412yes—
651C22×Q8C2412yes—
652C22×Q8C2411yescharacteristic
653C22×Q8C2411yescharacteristic
654C22×D4—216no—
655C22×D4—216no—
656C22×D4—24no—
657C22×D4—216no—
658C22×D4—216no—
659C22×D4—42no—
660C22×D4—44no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—42no—
664C22×D4—44no—
665C22×D4—42no—
666C22×D4—44no—
667C22×D4—44no—
668C22×D4—44no—
669C22×D4—44no—
670C22×D4—48no—
671C22×D4—48no—
672C22×D4—84no—
673C22×D4—84no—
674C22×D4—84no—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2412yes—
681C22×D4C2412yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2411yescharacteristic
689C22×D4C2412yes—
690C22×D4C2414yes—
691C22×D4C2412yes—
692C22×D4C2411yescharacteristic
693C22×D4C2414yes—
694C22×D4C2412yes—
695C22×D4C2411yescharacteristic
696C22×D4C2414yes—
697C22×D4C2414yes—
698C22×D4C2412yes—
699C22×D4C2412yes—
700C22×D4C2411yescharacteristic
701C23×C4—28no—
702C23×C4—24no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4—44no—
706C23×C4—44no—
707C23×C4—44no—
708C23×C4—44no—
709C23×C4—44no—
710C23×C4C2411yescharacteristic
711C23×C4C2412yes—
712C23×C4C2412yes—
713C23×C4C2412yes—
714C23×C4C2412yes—
715C23×C4C2412yes—
716C23×C4C2412yes—
717C23×C4C2412yes—
718C23×C4C2412yes—
719C23×C4C2412yes—
720C23×C4C2412yes—
721C23×C4C2414yes—
722C23×C4C2412yes—
723C23×C4C2414yes—
724C23×C4C2414yes—
725C23×C4C2414yes—
726C23×C4C2412yes—
727C23×C4C2412yes—
728C23×C4C2414yes—
729C23×C4C2412yes—
730C23×C4C2412yes—
731C23×C4C2412yes—
732C23×C4C2411yescharacteristic
733#127—216no—
734#127—24no—
735#127—24no—
736#127—42no—
737#127—42no—
738#127—48no—
739#126—216no—
740#126—48no—
741#126—84no—
742#124—28no—
743#124—216no—
744#124—44no—
745#124—48no—
746#124—44no—
747#124—44no—
748#124—84no—
749#123—28no—
750#123—216no—
751#123—48no—
752#123—44no—
753#123—44no—
754#123—44no—
755#123—44no—
756#123—44no—
757#123—84no—
758#123—84no—
759C22⋊Q8—216no—
760C22⋊Q8—28no—
761C22⋊Q8—48no—
762#121—216no—
763#121—216no—
764#121—216no—
765#121—216no—
766#121—44no—
767#121—48no—
768#121—44no—
769#121—48no—
770#121—48no—
771#121—48no—
772#121—84no—
773#121—84no—
774#121—84no—
775#121#41116yescomplemented
776#120—216no—
777#120—216no—
778#120—216no—
779#120—28no—
780#120—216no—
781#120—216no—
782#120—44no—
783#120—44no—
784#120—44no—
785#120—44no—
786#120—44no—
787#120—84no—
788C4×Q8—44no—
789C4×D4—216no—
790C4×D4—216no—
791C4×D4—216no—
792C4×D4—216no—
793C4×D4—48no—
794C4×D4—44no—
795C4×D4—48no—
796C4×D4—48no—
797C4×D4—48no—
798C4×D4—48no—
799C4×D4—48no—
800C4×D4—48no—
801C4×D4—48no—
802C4×D4—48no—
803C4×D4—48no—
804C4×D4—48no—
805C4×D4—48no—
806C4×D4—84no—
807C4×D4—84no—
808#117—48no—
809#117—48no—
810#117—44no—
811#117—44no—
812C2×C4⋊C4—44no—
813C2×C4⋊C4—42no—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2412yes—
840C2×C22⋊C4—28no—
841C2×C22⋊C4—28no—
842C2×C22⋊C4—44no—
843C2×C22⋊C4—48no—
844C2×C22⋊C4—48no—
845C2×C22⋊C4—48no—
846C2×C22⋊C4—44no—
847C2×C22⋊C4—44no—
848C2×C22⋊C4—84no—
849C2×C22⋊C4—84no—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2412yes—
861C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C42—44no—
912C2×C42—42no—
913C2×C42—42no—
914C2×C42C2412yes—
915C2×C42C2414yes—
916C2×C42C2411yescharacteristic
917C2×C42C2414yes—
918C2×C42C2414yes—
919C2×C42C2411yescharacteristic
920C2×C42C2414yes—
921C2×C42C2414yes—
922C2×C42C2414yes—
923C2×C42C2414yes—
924C2×C42C2414yes—
925C2×C42C2414yes—
926C2×C42C2414yes—
927C2×C42C2414yes—
928C2×C42C2412yes—
929C2×C42C2412yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964C24—22no—
965C24—24no—
966C24—28no—
967C24—28no—
968C24—24no—
969C24—24no—
970C24—24no—
971C24—28no—
972C24—28no—
973C24—24no—
974C24—42no—
975C24—44no—
976C24—44no—
977C24—42no—
978C24—41no—
979C24—41no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—44no—
986C24—42no—
987C24—42no—
988C24—44no—
989C24C2512yes—
990C24C2512yes—
991C24C2512yes—
992C24C2512yes—
993C24C2514yes—
994C24C2512yes—
995C24C2511yescharacteristic
996#41—432no—
997#41—432no—
998#41—432no—
999#41—432no—
1000C2×Q8—24no—
1001C2×Q8—24no—
1002C2×Q8—24no—
1003C2×Q8—22no—
1004C2×Q8—41no—
1005C2×Q8—42no—
1006C2×Q8—41no—
1007C2×Q8—41no—
1008C2×Q8—41no—
1009C2×Q8—42no—
1010C2×Q8—42no—
1011C2×Q8—416no—
1012C2×Q8H(5,𝔽2)14yes—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—24no—
1021C2×D4—24no—
1022C2×D4—28no—
1023C2×D4—24no—
1024C2×D4—28no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—28no—
1029C2×D4—28no—
1030C2×D4—28no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—24no—
1036C2×D4—24no—
1037C2×D4—24no—
1038C2×D4—22no—
1039C2×D4—22no—
1040C2×D4—24no—
1041C2×D4—22no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—42no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—42no—
1053C2×D4—41no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—44no—
1062C2×D4—416no—
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—41no—
1072C2×D4—42no—
1073C2×D4—41no—
1074C2×D4—44no—
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—41no—
1084C2×D4—41no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—42no—
1089C2×D4—432no—
1090C2×D4—432no—
1091C2×D4—432no—
1092C2×D4—88no—
1093C2×D4—832no—
1094C2×D4—832no—
1095C2×D4—816no—
1096C2×D4C2×#41116yes—
1097C2×D4C2×#4118yescomplemented
1098C2×D4H(5,𝔽2)14yes—
1099C22×C4—22no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—24no—
1107C22×C4—24no—
1108C22×C4—28no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—28no—
1112C22×C4—28no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—24no—
1121C22×C4—24no—
1122C22×C4—28no—
1123C22×C4—28no—
1124C22×C4—28no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—44no—
1142C22×C4—42no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—44no—
1155C22×C4—42no—
1156C22×C4—44no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—432no—
1162C22×C4—416no—
1163C22×C4—816no—
1164C22×C4C2×#4118yes—
1165C22×C4H(5,𝔽2)14yes—
1166C22×C4C2512yes—
1167C22×C4C2514yes—
1168C22×C4C2514yes—
1169C22×C4C2514yes—
1170C22×C4C2514yes—
1171C22×C4C2514yes—
1172C22×C4C2514yes—
1173C22×C4C2514yes—
1174C22×C4C2514yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2514yes—
1178C22×C4C2512yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2511yescharacteristic
1181C22×C4C2512yes—
1182C4⋊C4—28no—
1183C4⋊C4—28no—
1184C4⋊C4—28no—
1185C4⋊C4—24no—
1186C4⋊C4—28no—
1187C4⋊C4—28no—
1188C4⋊C4—28no—
1189C4⋊C4—28no—
1190C4⋊C4—28no—
1191C4⋊C4—44no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—44no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—42no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4C2×#4118yescomplemented
1208C22⋊C4—28no—
1209C22⋊C4—28no—
1210C22⋊C4—28no—
1211C22⋊C4—28no—
1212C22⋊C4—24no—
1213C22⋊C4—24no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—28no—
1226C22⋊C4—28no—
1227C22⋊C4—28no—
1228C22⋊C4—28no—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4C2×#41116yescomplemented
1269C42—28no—
1270C42—28no—
1271C42—24no—
1272C42—28no—
1273C42—22no—
1274C42—22no—
1275C42—44no—
1276C42—42no—
1277C42—42no—
1278C42—44no—
1279C42—44no—
1280C42—44no—
1281C42—44no—
1282C42—44no—
1283C42—44no—
1284C42—44no—
1285C23—21no—
1286C23—21no—
1287C23—22no—
1288C23—24no—
1289C23—24no—
1290C23—24no—
1291C23—24no—
1292C23—24no—
1293C23—22no—
1294C23—22no—
1295C23—24no—
1296C23—24no—
1297C23—24no—
1298C23—24no—
1299C23—24no—
1300C23—24no—
1301C23—24no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—24no—
1315C23—24no—
1316C23—24no—
1317C23—24no—
1318C23—48no—
1319C23—48no—
1320C23—416no—
1321C23—416no—
1322C23—48no—
1323C23—44no—
1324C23—44no—
1325C23—48no—
1326C23—44no—
1327C23—48no—
1328C23—84no—
1329C23—84no—
1330C23—88no—
1331C23—84no—
1332C23—84no—
1333C23—88no—
1334C23—88no—
1335C23—84no—
1336C23—84no—
1337C23—88no—
1338C23—88no—
1339C23—88no—
1340C23—84no—
1341C23—162no—
1342C23—162no—
1343C23C22×#4118yes—
1344C23C22×#4114yes—
1345C23C2×H(5,𝔽2)14yes—
1346C23C2×H(5,𝔽2)12yes—
1347C23C2611yescharacteristic
1348Q8—44no—
1349Q8—48no—
1350Q8—44no—
1351Q8—84no—
1352D4—232no—
1353D4—44no—
1354D4—48no—
1355D4—416no—
1356D4—416no—
1357D4—48no—
1358D4—48no—
1359D4—416no—
1360D4—416no—
1361D4—48no—
1362D4—44no—
1363D4—416no—
1364D4—48no—
1365D4—48no—
1366D4—88no—
1367D4—88no—
1368D4—82no—
1369D4—84no—
1370D4—82no—
1371D4—88no—
1372D4—88no—
1373D4—88no—
1374D4—88no—
1375D4—88no—
1376D4—88no—
1377D4—88no—
1378C2×C4—216no—
1379C2×C4—28no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—24no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—24no—
1420C2×C4—24no—
1421C2×C4—44no—
1422C2×C4—48no—
1423C2×C4—48no—
1424C2×C4—48no—
1425C2×C4—48no—
1426C2×C4—48no—
1427C2×C4—48no—
1428C2×C4—48no—
1429C2×C4—48no—
1430C2×C4—48no—
1431C2×C4—88no—
1432C2×C4—88no—
1433C2×C4—88no—
1434C2×C4—84no—
1435C2×C4—88no—
1436C2×C4—84no—
1437C2×C4—84no—
1438C2×C4—84no—
1439C2×C4—162no—
1440C2×C4—162no—
1441C2×C4—164no—
1442C2×C4C22×#4114yes—
1443C2×C4C22×#4118yes—
1444C2×C4C22×#4114yes—
1445C2×C4C2×H(5,𝔽2)14yes—
1446C2×C4C2×H(5,𝔽2)12yes—
1447C2×C4C2×H(5,𝔽2)12yes—
1448C2×C4C2×H(5,𝔽2)14yes—
1449C22—24no—
1450C22—24no—
1451C22—22no—
1452C22—22no—
1453C22—28no—
1454C22—28no—
1455C22—28no—
1456C22—24no—
1457C22—28no—
1458C22—44no—
1459C22—44no—
1460C22—44no—
1461C22—44no—
1462C22—42no—
1463C22—44no—
1464C22—42no—
1465C22—44no—
1466C22—44no—
1467C22—44no—
1468C22—44no—
1469C22—44no—
1470C22—44no—
1471C22—44no—
1472C22—44no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—42no—
1480C22—42no—
1481C22—42no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22—816no—
1486C22—88no—
1487C22—816no—
1488C22—168no—
1489C22—168no—
1490C22#348114yes—
1491C22C23×#4112yes—
1492C22C22×H(5,𝔽2)11yescharacteristic
1493C22C22×H(5,𝔽2)11yescharacteristic
1494C22C22×H(5,𝔽2)11yescharacteristic
1495C22H(7,𝔽2)12yes—
1496C4—24no—
1497C4—24no—
1498C4—24no—
1499C4—24no—
1500C4—22no—
1501C4—22no—
1502C4—28no—
1503C4—44no—
1504C4—44no—
1505C4—44no—
1506C4—44no—
1507C4—44no—
1508C4—42no—
1509C4—44no—
1510C4—44no—
1511C4—44no—
1512C2—24no—
1513C2—44no—
1514C2—48no—
1515C2—82no—
1516C2—82no—
1517C2—82no—
1518C2—82no—
1519C2C2×#348111yescharacteristic
1520C2#6281711yescharacteristic
1521C2#6287411yescharacteristic
1522C2#6298312yes—
1523C2#6298612yes—
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. #60034C2semidirect
2. #59973C2semidirect
3. #59940C2semidirect
4. #59886C2semidirect
5. #59779C2semidirect
6. #59173C2semidirect
7. #59162C2semidirect
8. #59143C2semidirect
9. #59126C2semidirect
10. #59089C2semidirect
11. #59045C2semidirect
12. #44282C2semidirect
13. #44260C2semidirect
14. #44193C2semidirect
15. #44148C2semidirect
16. #43964C2semidirect
17. #43893C2semidirect
18. #35375C2semidirect
19. #35355C2semidirect
20. #34736C2semidirect
21. C2×#2431C2semidirect
22. #34290C2semidirect
23. #34277C2semidirect
24. C23×#41C22semidirect
25. C2×#559C22semidirect
26. C2×#551C22semidirect
28. C2×D42C22semidirect
31. C22×#124C22semidirect
32. C2×#525C22semidirect
33. C2×#525C22semidirect
34. C22×#121C22semidirect
35. C2×#518C22semidirect
36. C22×C4×D4C22semidirect
37. #2806C22semidirect
38. #2805C22semidirect
39. #2804C22semidirect
40. #2803C22semidirect
41. #2803C22semidirect
42. #2797C22semidirect
43. #2753C22semidirect
44. #2753C22semidirect
45. #2748C22semidirect
46. #2732C22semidirect
47. #2730C22semidirect
48. #2717C22semidirect
49. #2714C22semidirect
50. #2714C22semidirect
51. #2714C22semidirect
52. #2714C22semidirect
53. #2709C22semidirect
54. #2709C22semidirect
55. #2703C22semidirect
56. #2703C22semidirect
57. #2703C22semidirect
58. #2703C22semidirect
59. #2697C22semidirect
60. #2684C22semidirect
61. #2673C22semidirect
62. #2673C22semidirect
63. #2670C22semidirect
64. #2670C22semidirect
65. #2669C22semidirect
66. #2669C22semidirect
67. #2610C22semidirect
68. #2603C22semidirect
69. #2602C22semidirect
70. #2602C22semidirect
71. #2597C22semidirect
72. #2595C22semidirect
73. #2589C22semidirect
74. #2579C22semidirect
75. #2574C22semidirect
76. #2569C22semidirect
77. #2564C22semidirect
78. #2559C22semidirect
79. #2557C22semidirect
80. #2557C22semidirect
81. #2555C22semidirect
82. #2555C22semidirect
83. #2554C22semidirect
84. #2554C22semidirect
85. #2554C22semidirect
86. #2548C22semidirect
87. #2544C22semidirect
88. #2543C22semidirect
89. #2543C22semidirect
90. #2541C22semidirect
91. #2539C22semidirect
92. #2539C22semidirect
93. #2531C22semidirect
94. #2531C22semidirect
95. #2526C22semidirect
96. #2521C22semidirect
97. #2521C22semidirect
98. #2520C22semidirect
99. #2516C22semidirect
100. #2480C22semidirect
101. #2480C22semidirect
102. #2479C22semidirect
103. #2476C22semidirect
104. #2476C22semidirect
105. #2476C22semidirect
106. #2474C22semidirect
107. #2472C22semidirect
108. #2471C22semidirect
109. #2471C22semidirect
110. #2467C22semidirect
111. #2467C22semidirect
112. #2467C22semidirect
113. #2465C22semidirect
114. #2464C22semidirect
115. #2464C22semidirect
116. #2461C22semidirect
117. #2459C22semidirect
118. #2456C22semidirect
119. #2456C22semidirect
120. #2456C22semidirect
121. #2456C22semidirect
122. #2450C22semidirect
123. #2445C22semidirect
124. #2444C22semidirect
125. #2435C22semidirect
126. #2433C22semidirect
128. #2431C22semidirect
129. #2431C22semidirect
130. #2431C22semidirect
131. #2431C22semidirect
132. #2431C22semidirect
133. #2428C22semidirect
134. #2425C22semidirect
135. #2424C22semidirect
136. #2424C22semidirect
137. #2418C22semidirect
138. #2418C22semidirect
139. #2411C22semidirect
140. #2410C22semidirect
141. #2410C22semidirect
142. #2409C22semidirect
144. #2408C22semidirect
145. #2408C22semidirect
146. #2407C22semidirect
147. #2407C22semidirect
148. #2406C22semidirect
149. #2406C22semidirect
150. #2405C22semidirect
151. #2405C22semidirect
152. #2405C22semidirect
153. #2405C22semidirect
154. #2404C22semidirect
155. #2404C22semidirect
158. #2403C22semidirect
159. #2403C22semidirect
160. #2388C22semidirect
161. #2388C22semidirect
162. C2×#392C22semidirect
163. #2374C22semidirect
164. #2374C22semidirect
165. #2373C22semidirect
166. #2373C22semidirect
167. #2372C22semidirect
168. #2372C22semidirect
169. #2368C22semidirect
170. #2367C22semidirect
171. #2366C22semidirect
172. #2366C22semidirect
173. #2366C22semidirect
175. #2364C22semidirect
176. #2364C22semidirect
177. #2363C22semidirect
178. #2363C22semidirect
179. #2361C22semidirect
180. #2359C22semidirect
181. #2358C22semidirect
182. #2358C22semidirect
183. #2358C22semidirect
184. #2358C22semidirect
185. #2358C22semidirect
186. #2352C22semidirect
187. #2349C22semidirect
188. D4×C22⋊C4C22semidirect
189. D4×C22⋊C4C22semidirect
190. D4×C22⋊C4C22semidirect
191. D4×C22⋊C4C22semidirect
192. #2329C22semidirect
193. #2328C22semidirect
195. #2325C22semidirect
196. #2324C22semidirect
197. #2321C22semidirect
198. #2321C22semidirect
199. #2321C22semidirect
200. #2312C22semidirect
201. #2312C22semidirect
202. C4×C22⋊Q8C22semidirect
204. C4×#121C22semidirect
205. C4×#120C22semidirect
206. C4×#120C22semidirect
207. C4×#120C22semidirect
208. #2297C22semidirect
209. #2297C22semidirect
210. C2×#391C22semidirect
211. C2×#390C22semidirect
212. #2290C22semidirect
213. #2290C22semidirect
214. C2×#386C22semidirect
215. C2×#386C22semidirect
216. #2280C22semidirect
217. #2275C22semidirect
218. C2×C4×C22⋊C4C22semidirect
775. #121#41semidirect
1097. C2×D4C2×#41semidirect
1207. C4⋊C4C2×#41semidirect
1268. C22⋊C4C2×#41semidirect

Maximal subgroups

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

subgroupindex
#600342
#599732
#599402
#598862
#597792
#591732
#591622
#591432
#591262
#590892
#590452
#442822
#442602
#441932
#441482
#439642
#438932
#353752
#353552
#347362
C2×#24312
#342902
#342772