Finite Group Databasebeta

← #8957645

Subgroups — #8957645

Order 512.

6382 conjugacy classes of subgroups.

The subgroup lattice has 1513 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58258C212yesmaximal, complemented
2#57961C212yesmaximal, complemented
3#57200C214yesmaximal, complemented
4#56397C214yesmaximal, complemented
5#51899C214yesmaximal, complemented
6#50658C212yesmaximal, complemented
7#50652C214yesmaximal, complemented
8#49547C212yesmaximal, complemented
9#47884C212yesmaximal, complemented
10#47871C214yesmaximal, complemented
11#46419C214yesmaximal, complemented
12#43900C214yesmaximal, complemented
13#43191C214yesmaximal, complemented
14#42425C214yesmaximal, complemented
15#41041C214yesmaximal, complemented
16#40501C212yesmaximal, complemented
17#37769C212yesmaximal, complemented
18#37761C212yesmaximal, complemented
19#36706C211yesmaximal, characteristic, complemented
20#36091C212yesmaximal, complemented
21#35943C212yesmaximal, complemented
22#35565C211yesmaximal, characteristic, complemented
23#35347C211yesmaximal, characteristic, complemented
24C22×H(5,𝔽2)C2211yescharacteristic
25C2×#560C2214yescomplemented
26C2×#550C2212yes—
27C2×#550C2214yescomplemented
28C2×#540C2214yescomplemented
29C2×#538C2211yescharacteristic, complemented
30C2×#538C2212yescomplemented
31C2×#538C2212yescomplemented
32C2×#537C2211yescharacteristic, complemented
33C2×#535C2212yescomplemented
34C2×#534C2212yes—
35C2×#525C2212yescomplemented
36C22×#121C2211yescharacteristic
37#2848C2211yescharacteristic, complemented
38#2847C2211yescharacteristic, complemented
39#2842C2212yescomplemented
40#2829C2214yescomplemented
41#2818C2212yescomplemented
42#2813C2212yescomplemented
43#2813C2214yescomplemented
44#2813C2214yescomplemented
45#2812C2212yescomplemented
46#2797C2214yescomplemented
47#2796C2214yescomplemented
48#2756C2214yescomplemented
49#2748C2214yescomplemented
50#2742C2212yescomplemented
51#2730C2214yescomplemented
52#2727C2214yescomplemented
53#2723C2214yescomplemented
54#2714C2214yescomplemented
55#2714C2214yescomplemented
56#2711C2214yescomplemented
57#2711C2214yescomplemented
58#2710C2214yescomplemented
59#2709C2214yescomplemented
60#2706C2214yescomplemented
61#2705C2214yescomplemented
62#2703C2214yescomplemented
63#2691C2214yescomplemented
64#2685C2214yescomplemented
65#2685C2214yescomplemented
66#2682C2214yescomplemented
67#2682C2214yescomplemented
68#2678C2214yescomplemented
69#2678C2214yescomplemented
70#2678C2214yescomplemented
71#2676C2214yescomplemented
72#2676C2214yescomplemented
73#2675C2214yescomplemented
74#2675C2214yescomplemented
75#2675C2212yescomplemented
76#2675C2214yescomplemented
77#2673C2214yescomplemented
78#2673C2214yescomplemented
79#2673C2214yescomplemented
80#2673C2214yescomplemented
81#2673C2214yescomplemented
82#2673C2214yescomplemented
83#2673C2214yescomplemented
84#2673C2214yescomplemented
85#2672C2214yescomplemented
86#2672C2214yescomplemented
87#2671C2214yescomplemented
88#2671C2214yescomplemented
89#2671C2214yescomplemented
90#2671C2214yescomplemented
91#2671C2214yescomplemented
92#2670C2214yescomplemented
93#2670C2212yescomplemented
94#2669C2214yescomplemented
95#2669C2214yescomplemented
96#2669C2214yescomplemented
97#2669C2214yescomplemented
98#2669C2214yescomplemented
99#2668C2214yescomplemented
100#2668C2214yescomplemented
101#2668C2212yescomplemented
102#2667C2212yescomplemented
103#2662C2214yescomplemented
104#2661C2214yescomplemented
105#2659C2212yescomplemented
106#2657C2212yescomplemented
107#2656C2212yescomplemented
108#2656C2214yescomplemented
109#2656C2212yescomplemented
110#2651C2214yescomplemented
111#2635C2212yescomplemented
112#2632C2212yescomplemented
113#2626C2212yescomplemented
114#2626C2211yescharacteristic, complemented
115#2619C2214yescomplemented
116#2617C2211yescharacteristic, complemented
117#2617C2212yescomplemented
118#2615C2212yes—
119#2615C2212yescomplemented
120#2615C2214yescomplemented
121#2604C2212yescomplemented
122#2603C2214yescomplemented
123#2602C2214yescomplemented
124#2580C2214yescomplemented
125#2579C2212yescomplemented
126#2577C2214yescomplemented
127#2558C2214yescomplemented
128#2555C2214yescomplemented
129#2555C2214yescomplemented
130#2554C2214yescomplemented
131#2553C2214yescomplemented
132#2543C2214yescomplemented
133#2541C2214yescomplemented
134#2541C2214yescomplemented
135#2541C2214yescomplemented
136#2541C2214yescomplemented
137#2540C2214yescomplemented
138#2540C2214yescomplemented
139#2539C2212yescomplemented
140#2539C2214yescomplemented
141#2539C2212yescomplemented
142#2521C2214yescomplemented
143#2517C2212yescomplemented
144#2479C2214yescomplemented
145#2476C2214yescomplemented
146#2471C2214yescomplemented
147#2471C2214yescomplemented
148#2467C2214yescomplemented
149#2467C2214yescomplemented
150#2467C2214yescomplemented
151#2465C2214yescomplemented
152#2464C2214yescomplemented
153#2464C2214yescomplemented
154#2462C2214yescomplemented
155#2461C2214yescomplemented
156#2458C2214yescomplemented
157#2456C2214yescomplemented
158#2456C2214yescomplemented
159#2455C2212yescomplemented
160#2454C2214yescomplemented
161#2454C2214yescomplemented
162#2450C2214yescomplemented
163#2433C2214yes—
164#2433C2214yes—
165#2433C2212yes—
166#2433C2212yescomplemented
167#2433C2214yescomplemented
168#2433C2214yescomplemented
169#2431C2214yescomplemented
170#2430C2214yes—
171#2430C2214yes—
172#2430C2212yescomplemented
173#2430C2214yescomplemented
174#2430C2214yescomplemented
175#2428C2214yescomplemented
176#2428C2214yescomplemented
177#2428C2214yescomplemented
178#2428C2214yescomplemented
179#2428C2214yescomplemented
180#2425C2214yescomplemented
181#2424C2214yescomplemented
182#2424C2214yescomplemented
183#2424C2214yescomplemented
184#2418C2214yescomplemented
185#2418C2214yescomplemented
186#2414C2214yescomplemented
187#2410C2214yes—
188#2410C2214yes—
189#2410C2212yescomplemented
190#2410C2212yescomplemented
191#2408C2214yes—
192#2408C2212yes—
193#2408C2214yes—
194#2408C2214yescomplemented
195#2408C2214yescomplemented
196#2406C2212yes—
197#2405C2212yes—
198#2404C2212yes—
199#2403C2212yes—
200#2396C2214yescomplemented
201#2388C2212yes—
202#2388C2214yescomplemented
203#2377C2212yescomplemented
204#2373C2214yescomplemented
205#2364C2214yescomplemented
206#2364C2214yescomplemented
207#2359C2214yescomplemented
208#2353C2212yescomplemented
209#2349C2214yescomplemented
210#2341C2212yes—
211#2341C2214yescomplemented
212#2335C2214yescomplemented
213#2329C2212yescomplemented
214#2325C2212yescomplemented
215#2315C2211yescharacteristic, complemented
216#2308C2211yescharacteristic
217C2×#386C2212yes—
218#2274C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—44no—
220C2×H(5,𝔽2)—48no—
221C22×#41C2312yes—
222C22×#41C2314yes—
223C22×#41C2312yes—
224C22×#41C2312yes—
225C23×D4C2311yescharacteristic
226C23×D4C2312yes—
227C23×D4C2312yes—
228C23×D4C2314yes—
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232#560—416no—
233#550—48no—
234#550—416no—
235#540—416no—
236#538—44no—
237#538—48no—
238#538—48no—
239#537—44no—
240#535—48no—
241#534—48no—
242C2×#127C2312yes—
243C2×#127C2314yes—
244C2×#127C2314yes—
245C2×#127C2314yes—
246C2×#127C2314yes—
247C2×#127C2314yes—
248C2×#127C2314yes—
249C2×#127C2314yes—
250C2×#126C2314yes—
251C2×#126C2312yes—
252C2×#126C2314yes—
253C2×#126C2314yes—
254C2×#125C2314yes—
255C2×#124C2312yes—
256C2×#124C2314yes—
257C2×#124C2314yes—
258C2×#124C2314yes—
259#525—48no—
260C2×#123C2314yes—
261C2×#123C2314yes—
262C2×#123C2314yes—
263C2×#123C2314yes—
264C2×#123C2314yes—
265C2×#123C2314yes—
266C2×#123C2314yes—
267C2×#123C2312yes—
268C2×#123C2314yes—
269C2×#123C2314yes—
270C2×#123C2314yes—
271C2×C22⋊Q8C2312yes—
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2312yes—
274C2×C22⋊Q8C2312yes—
275C2×C22⋊Q8C2314yes—
276C2×#121—44no—
277C2×#121C2312yes—
278C2×#121C2312yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#121C2311yescharacteristic
282C2×#121C2312yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2312yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2312yes—
289C2×#121C2314yes—
290C2×#121C2314yes—
291C2×#121C2314yes—
292C2×#121C2314yes—
293C2×#121C2312yes—
294C2×#121C2314yes—
295C2×#121C2314yes—
296C2×#121C2314yes—
297C2×#121C2314yes—
298C2×#121C2314yes—
299C2×#121C2314yes—
300C2×#121C2314yes—
301C2×#121C2314yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2312yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×#120C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2312yes—
326C2×#120C2314yes—
327C2×#120C2312yes—
328C2×#120C2312yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×C4×Q8C2314yes—
332C2×C4×Q8C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2314yes—
343C2×#117C2312yes—
344C2×#117C2314yes—
345C22×C4⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2312yes—
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2312yes—
350C22×C22⋊C4C2312yes—
351C22×C22⋊C4C2312yes—
352#400C2314yes—
353#400C2312yes—
354#399C2312yes—
355#399C2314yes—
356#399C2314yes—
357#399C2312yes—
358#399C2314yes—
359#399C2312yes—
360#399C2314yes—
361#399C2312yes—
362#399C2312yes—
363#399C2314yes—
364#399C2314yes—
365#399C2314yes—
366#399C2312yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2312yes—
378#397C2314yes—
379#396C2314yes—
380#396C2314yes—
381#396C2314yes—
382#396C2314yes—
383#396C2314yes—
384#396C2314yes—
385#396C2314yes—
386#396C2314yes—
387#396C2314yes—
388#396C2314yes—
389#395C2312yes—
390#395C2314yes—
391#395C2314yes—
392#395C2314yes—
393#394C2314yes—
394#394C2312yes—
395#394C2312yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#393C2312yes—
428#393C2314yes—
429#393C2312yes—
430#393C2312yes—
431#393C2314yes—
432#393C2312yes—
433#392C2312yes—
434#392C2312yes—
435#392C2314yes—
436#392C2314yes—
437#392C2314yes—
438#392C2314yes—
439#392C2314yes—
440#392C2314yes—
441#392C2314yes—
442#392C2314yes—
443#392C2314yes—
444#392C2312yes—
445#392C2314yes—
446#392C2314yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2312yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2312yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2312yes—
465#392C2314yes—
466#392C2314yes—
467#392C2312yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2312yes—
474#392C2314yes—
475#392C2312yes—
476#391C2314yes—
477#390C2314yes—
478#390C2314yes—
479#390C2314yes—
480#390C2314yes—
481#390C2314yes—
482#390C2314yes—
483#390C2314yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2314yes—
492#390C2314yes—
493#390C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2312yes—
541#386C2312yes—
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#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2312yes—
573#385C2314yes—
574#385C2312yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2312yes—
586#385C2312yes—
587#383C2312yes—
588#382C2314yes—
589#381C2312yes—
590#380C2312yes—
591#380C2311yescharacteristic
592#380C2311yescharacteristic
593#380C2314yes—
594#380C2312yes—
595#380C2312yes—
596#380C2314yes—
597#380C2314yes—
598#380C2314yes—
599#380C2314yes—
600#380C2312yes—
601#380C2314yes—
602#379C2312yes—
603#379C2312yes—
604#379C2314yes—
605#379C2312yes—
606#379C2312yes—
607#379C2314yes—
608#379C2312yes—
609C4×C4⋊C4C2314yes—
610C4×C4⋊C4C2314yes—
611C4×C4⋊C4C2314yes—
612C4×C4⋊C4C2314yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2312yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2314yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2314yes—
621C4×C22⋊C4C2314yes—
622C4×C22⋊C4C2312yes—
623#376C2312yes—
624C2×#95C2312yes—
625C2×#95C2312yes—
626C2×#95C2314yes—
627C2×#95C2312yes—
628C25C2411yescharacteristic
629C25C2411yescharacteristic
630C25C2412yes—
631C25C2411yescharacteristic
632C25C2412yes—
633H(5,𝔽2)—464no—
634C2×#41—28no—
635C2×#41—216no—
636C2×#41—44no—
637C2×#41—44no—
638C2×#41—48no—
639C2×#41—48no—
640C2×#41—48no—
641C2×#41—44no—
642C2×#41—44no—
643C2×#41—48no—
644C22×Q8C2412yes—
645C22×Q8C2412yes—
646C22×Q8C2411yescharacteristic
647C22×D4—24no—
648C22×D4—28no—
649C22×D4—48no—
650C22×D4—48no—
651C22×D4—48no—
652C22×D4—44no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—44no—
656C22×D4—44no—
657C22×D4—44no—
658C22×D4—44no—
659C22×D4—48no—
660C22×D4—44no—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2412yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2412yes—
675C22×D4C2412yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2412yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2412yes—
689C22×D4C2412yes—
690C22×D4C2414yes—
691C22×D4C2411yescharacteristic
692C22×D4C2414yes—
693C22×D4C2412yes—
694C23×C4—44no—
695C23×C4—42no—
696C23×C4C2411yescharacteristic
697C23×C4C2414yes—
698C23×C4C2412yes—
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2412yes—
702C23×C4C2412yes—
703C23×C4C2414yes—
704C23×C4C2412yes—
705C23×C4C2414yes—
706C23×C4C2414yes—
707C23×C4C2412yes—
708C23×C4C2412yes—
709C23×C4C2414yes—
710C23×C4C2414yes—
711C23×C4C2411yescharacteristic
712C23×C4C2412yes—
713#127—48no—
714#127—48no—
715#127—44no—
716#127—48no—
717#127—48no—
718#127—48no—
719#127—48no—
720#127—48no—
721#126—216no—
722#126—44no—
723#126—48no—
724#126—48no—
725#125—48no—
726#124—48no—
727#124—44no—
728#124—48no—
729#124—48no—
730#123—216no—
731#123—216no—
732#123—48no—
733#123—48no—
734#123—48no—
735#123—48no—
736#123—48no—
737#123—44no—
738#123—48no—
739#123—48no—
740#123—48no—
741C22⋊Q8—28no—
742C22⋊Q8—42no—
743C22⋊Q8—48no—
744C22⋊Q8—44no—
745C22⋊Q8—44no—
746#121—28no—
747#121—216no—
748#121—28no—
749#121—216no—
750#121—44no—
751#121—44no—
752#121—48no—
753#121—48no—
754#121—48no—
755#121—48no—
756#121—48no—
757#121—48no—
758#121—48no—
759#121—48no—
760#121—48no—
761#121—48no—
762#121—48no—
763#121—48no—
764#121—48no—
765#121—48no—
766#121—48no—
767#121—48no—
768#121—48no—
769#121—48no—
770#121—48no—
771#121—48no—
772#121—48no—
773#121—44no—
774#121—48no—
775#121—48no—
776#121—44no—
777#121—48no—
778#121—48no—
779#121—44no—
780#121—42no—
781#121—84no—
782#121—84no—
783#121—84no—
784#121—84no—
785#120—48no—
786#120—48no—
787#120—48no—
788#120—48no—
789#120—48no—
790#120—48no—
791#120—48no—
792#120—48no—
793#120—48no—
794#120—48no—
795#120—44no—
796#120—82no—
797#120—82no—
798#120—84no—
799#120—84no—
800C4×Q8—48no—
801C4×Q8—44no—
802C4×D4—28no—
803C4×D4—216no—
804C4×D4—48no—
805C4×D4—48no—
806C4×D4—48no—
807C4×D4—48no—
808C4×D4—48no—
809C4×D4—48no—
810C4×D4—48no—
811C4×D4—48no—
812#117—28no—
813#117—48no—
814C2×C4⋊C4—24no—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2412yes—
846C2×C22⋊C4—24no—
847C2×C22⋊C4—44no—
848C2×C22⋊C4—44no—
849C2×C22⋊C4—44no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4—82no—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2412yes—
856C2×C22⋊C4C2412yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2412yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
877C2×C22⋊C4C2412yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
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⋊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⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C42C2414yes—
918C2×C42C2414yes—
919C2×C42C2412yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
922C2×C42C2414yes—
923C2×C42C2414yes—
924C2×C42C2414yes—
925C2×C42C2414yes—
926#95C2414yes—
927#95C2412yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2412yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2412yes—
937#95C2414yes—
938#95C2414yes—
939#95C2412yes—
940#95C2414yes—
941#95C2412yes—
942#95C2412yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2412yes—
952#95C2412yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958C24—24no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—24no—
963C24—41no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—44no—
969C24—41no—
970C24—42no—
971C24—41no—
972C24—41no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—41no—
979C24—42no—
980C24—42no—
981C24—41no—
982C24—44no—
983C24—42no—
984C24—42no—
985C24C2514yes—
986C24C2512yes—
987C24C2512yes—
988C24C2514yes—
989C24C2512yes—
990C24C2511yescharacteristic
991C24C2512yes—
992#41—432no—
993#41—464no—
994#41—816no—
995#41—816no—
996C2×Q8—24no—
997C2×Q8—28no—
998C2×Q8—24no—
999C2×Q8—42no—
1000C2×Q8—42no—
1001C2×Q8—41no—
1002C2×Q8—42no—
1003C2×D4—28no—
1004C2×D4—28no—
1005C2×D4—28no—
1006C2×D4—28no—
1007C2×D4—24no—
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—28no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—24no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—24no—
1023C2×D4—24no—
1024C2×D4—28no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—42no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—42no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—42no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—42no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—42no—
1066C2×D4—42no—
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—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—41no—
1079C2×D4—44no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—416no—
1097C2×D4—432no—
1098C2×D4—432no—
1099C2×D4—464no—
1100C2×D4—88no—
1101C2×D4—88no—
1102C22×C4—22no—
1103C22×C4—24no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—28no—
1107C22×C4—28no—
1108C22×C4—28no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—28no—
1113C22×C4—28no—
1114C22×C4—28no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—44no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—44no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—88no—
1146C22×C4H(5,𝔽2)14yes—
1147C22×C4H(5,𝔽2)18yes—
1148C22×C4C2512yes—
1149C22×C4C2514yes—
1150C22×C4C2514yes—
1151C22×C4C2514yes—
1152C22×C4C2514yes—
1153C22×C4C2512yes—
1154C22×C4C2514yes—
1155C22×C4C2514yes—
1156C22×C4C2512yes—
1157C22×C4C2511yescharacteristic
1158C22×C4C2511yescharacteristic
1159C22×C4C2512yes—
1160C22×C4C2514yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2514yes—
1164C4⋊C4—28no—
1165C4⋊C4—24no—
1166C4⋊C4—28no—
1167C4⋊C4—28no—
1168C4⋊C4—24no—
1169C4⋊C4—28no—
1170C4⋊C4—28no—
1171C4⋊C4—28no—
1172C4⋊C4—24no—
1173C4⋊C4—28no—
1174C4⋊C4—28no—
1175C4⋊C4—28no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—41no—
1189C4⋊C4—42no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—41no—
1193C4⋊C4—42no—
1194C4⋊C4H(5,𝔽2)18yescomplemented
1195C22⋊C4—28no—
1196C22⋊C4—24no—
1197C22⋊C4—28no—
1198C22⋊C4—24no—
1199C22⋊C4—24no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—24no—
1206C22⋊C4—28no—
1207C22⋊C4—28no—
1208C22⋊C4—28no—
1209C22⋊C4—28no—
1210C22⋊C4—28no—
1211C22⋊C4—28no—
1212C22⋊C4—28no—
1213C22⋊C4—28no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—44no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—44no—
1226C22⋊C4—42no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—42no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—42no—
1260C42—28no—
1261C42—28no—
1262C42—24no—
1263C42—28no—
1264C42—44no—
1265C42—44no—
1266C42—44no—
1267C42—44no—
1268C42—44no—
1269C23—28no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—21no—
1277C23—22no—
1278C23—22no—
1279C23—21no—
1280C23—24no—
1281C23—24no—
1282C23—22no—
1283C23—24no—
1284C23—24no—
1285C23—24no—
1286C23—22no—
1287C23—24no—
1288C23—24no—
1289C23—24no—
1290C23—24no—
1291C23—24no—
1292C23—24no—
1293C23—22no—
1294C23—24no—
1295C23—24no—
1296C23—24no—
1297C23—24no—
1298C23—24no—
1299C23—24no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—24no—
1304C23—24no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—24no—
1309C23—44no—
1310C23—48no—
1311C23—44no—
1312C23—48no—
1313C23—82no—
1314C23—82no—
1315C23—84no—
1316C23—84no—
1317C23—82no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23—84no—
1322C23—84no—
1323C23—162no—
1324C23—162no—
1325C23—162no—
1326C23—162no—
1327C23—162no—
1328C23—162no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23—162no—
1333C23—164no—
1334C23—164no—
1335C23C2×H(5,𝔽2)14yes—
1336C23C2×H(5,𝔽2)12yes—
1337C23C2611yescharacteristic
1338Q8—216no—
1339Q8—84no—
1340Q8—161no—
1341D4—416no—
1342D4—416no—
1343D4—416no—
1344D4—416no—
1345D4—416no—
1346D4—48no—
1347D4—88no—
1348D4—88no—
1349D4—88no—
1350D4—88no—
1351D4—84no—
1352D4—88no—
1353D4—84no—
1354D4—84no—
1355D4—88no—
1356D4—88no—
1357D4—88no—
1358D4—88no—
1359D4—88no—
1360D4—162no—
1361D4—162no—
1362D4—161no—
1363D4—164no—
1364D4—164no—
1365D4—162no—
1366D4—164no—
1367D4—164no—
1368D4—164no—
1369D4—164no—
1370D4—164no—
1371D4—164no—
1372D4—164no—
1373D4—164no—
1374C2×C4—28no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—22no—
1381C2×C4—24no—
1382C2×C4—22no—
1383C2×C4—24no—
1384C2×C4—22no—
1385C2×C4—24no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—24no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—21no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—22no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—44no—
1414C2×C4—48no—
1415C2×C4—48no—
1416C2×C4—416no—
1417C2×C4—88no—
1418C2×C4—84no—
1419C2×C4—84no—
1420C2×C4—84no—
1421C2×C4—88no—
1422C2×C4—88no—
1423C2×C4—82no—
1424C2×C4—82no—
1425C2×C4—162no—
1426C2×C4—162no—
1427C2×C4—164no—
1428C2×C4—164no—
1429C2×C4C2×H(5,𝔽2)18yes—
1430C2×C4C2×H(5,𝔽2)14yes—
1431C2×C4C2×H(5,𝔽2)18yes—
1432C2×C4C2×H(5,𝔽2)14yes—
1433C22—22no—
1434C22—24no—
1435C22—22no—
1436C22—22no—
1437C22—24no—
1438C22—24no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—44no—
1447C22—44no—
1448C22—42no—
1449C22—42no—
1450C22—44no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—44no—
1455C22—42no—
1456C22—44no—
1457C22—44no—
1458C22—42no—
1459C22—42no—
1460C22—44no—
1461C22—44no—
1462C22—44no—
1463C22—44no—
1464C22—44no—
1465C22—44no—
1466C22—44no—
1467C22—44no—
1468C22—44no—
1469C22—44no—
1470C22—44no—
1471C22—44no—
1472C22—44no—
1473C22—44no—
1474C22—88no—
1475C22—168no—
1476C22—164no—
1477C22—164no—
1478C22—168no—
1479C22C22×H(5,𝔽2)11yescharacteristic
1480C22C22×H(5,𝔽2)12yes—
1481C22C22×H(5,𝔽2)12yes—
1482C22H(7,𝔽2)11yescharacteristic
1483C222−1+611yescharacteristic
1484C4—28no—
1485C4—24no—
1486C4—24no—
1487C4—28no—
1488C4—42no—
1489C4—42no—
1490C4—41no—
1491C4—41no—
1492C4—44no—
1493C4—42no—
1494C4—42no—
1495C4—44no—
1496C4—44no—
1497C4—44no—
1498C4—44no—
1499C4—44no—
1500C2—44no—
1501C2—42no—
1502C2—84no—
1503C2—82no—
1504C2—82no—
1505C2—82no—
1506C2—84no—
1507C2#6281711yescharacteristic
1508C2#6283211yescharacteristic
1509C2#6287511yescharacteristic
1510C2#6291412yes—
1511C2#6291612yes—
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. #58258C2semidirect
2. #57961C2semidirect
3. #57200C2semidirect
4. #56397C2semidirect
5. #51899C2semidirect
6. #50658C2semidirect
7. #50652C2semidirect
8. #49547C2semidirect
9. #47884C2semidirect
10. #47871C2semidirect
11. #46419C2semidirect
12. #43900C2semidirect
13. #43191C2semidirect
14. #42425C2semidirect
15. #41041C2semidirect
16. #40501C2semidirect
17. #37769C2semidirect
18. #37761C2semidirect
19. #36706C2semidirect
20. #36091C2semidirect
21. #35943C2semidirect
22. #35565C2semidirect
23. #35347C2semidirect
25. C2×#560C22semidirect
27. C2×#550C22semidirect
28. C2×#540C22semidirect
29. C2×#538C22semidirect
30. C2×#538C22semidirect
31. C2×#538C22semidirect
32. C2×#537C22semidirect
33. C2×#535C22semidirect
35. C2×#525C22semidirect
37. #2848C22semidirect
38. #2847C22semidirect
39. #2842C22semidirect
40. #2829C22semidirect
41. #2818C22semidirect
42. #2813C22semidirect
43. #2813C22semidirect
44. #2813C22semidirect
45. #2812C22semidirect
46. #2797C22semidirect
47. #2796C22semidirect
48. #2756C22semidirect
49. #2748C22semidirect
50. #2742C22semidirect
51. #2730C22semidirect
52. #2727C22semidirect
53. #2723C22semidirect
54. #2714C22semidirect
55. #2714C22semidirect
56. #2711C22semidirect
57. #2711C22semidirect
58. #2710C22semidirect
59. #2709C22semidirect
60. #2706C22semidirect
61. #2705C22semidirect
62. #2703C22semidirect
63. #2691C22semidirect
64. #2685C22semidirect
65. #2685C22semidirect
66. #2682C22semidirect
67. #2682C22semidirect
68. #2678C22semidirect
69. #2678C22semidirect
70. #2678C22semidirect
71. #2676C22semidirect
72. #2676C22semidirect
73. #2675C22semidirect
74. #2675C22semidirect
75. #2675C22semidirect
76. #2675C22semidirect
77. #2673C22semidirect
78. #2673C22semidirect
79. #2673C22semidirect
80. #2673C22semidirect
81. #2673C22semidirect
82. #2673C22semidirect
83. #2673C22semidirect
84. #2673C22semidirect
85. #2672C22semidirect
86. #2672C22semidirect
87. #2671C22semidirect
88. #2671C22semidirect
89. #2671C22semidirect
90. #2671C22semidirect
91. #2671C22semidirect
92. #2670C22semidirect
93. #2670C22semidirect
94. #2669C22semidirect
95. #2669C22semidirect
96. #2669C22semidirect
97. #2669C22semidirect
98. #2669C22semidirect
99. #2668C22semidirect
100. #2668C22semidirect
101. #2668C22semidirect
102. #2667C22semidirect
103. #2662C22semidirect
104. #2661C22semidirect
105. #2659C22semidirect
106. #2657C22semidirect
107. #2656C22semidirect
108. #2656C22semidirect
109. #2656C22semidirect
110. #2651C22semidirect
111. #2635C22semidirect
112. #2632C22semidirect
113. #2626C22semidirect
114. #2626C22semidirect
115. #2619C22semidirect
116. #2617C22semidirect
117. #2617C22semidirect
119. #2615C22semidirect
120. #2615C22semidirect
121. #2604C22semidirect
122. #2603C22semidirect
123. #2602C22semidirect
124. #2580C22semidirect
125. #2579C22semidirect
126. #2577C22semidirect
127. #2558C22semidirect
128. #2555C22semidirect
129. #2555C22semidirect
130. #2554C22semidirect
131. #2553C22semidirect
132. #2543C22semidirect
133. #2541C22semidirect
134. #2541C22semidirect
135. #2541C22semidirect
136. #2541C22semidirect
137. #2540C22semidirect
138. #2540C22semidirect
139. #2539C22semidirect
140. #2539C22semidirect
141. #2539C22semidirect
142. #2521C22semidirect
143. #2517C22semidirect
144. #2479C22semidirect
145. #2476C22semidirect
146. #2471C22semidirect
147. #2471C22semidirect
148. #2467C22semidirect
149. #2467C22semidirect
150. #2467C22semidirect
151. #2465C22semidirect
152. #2464C22semidirect
153. #2464C22semidirect
154. #2462C22semidirect
155. #2461C22semidirect
156. #2458C22semidirect
157. #2456C22semidirect
158. #2456C22semidirect
159. #2455C22semidirect
160. #2454C22semidirect
161. #2454C22semidirect
162. #2450C22semidirect
166. #2433C22semidirect
167. #2433C22semidirect
168. #2433C22semidirect
169. #2431C22semidirect
172. #2430C22semidirect
173. #2430C22semidirect
174. #2430C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2425C22semidirect
181. #2424C22semidirect
182. #2424C22semidirect
183. #2424C22semidirect
184. #2418C22semidirect
185. #2418C22semidirect
186. #2414C22semidirect
189. #2410C22semidirect
190. #2410C22semidirect
194. #2408C22semidirect
195. #2408C22semidirect
200. #2396C22semidirect
202. #2388C22semidirect
203. #2377C22semidirect
204. #2373C22semidirect
205. #2364C22semidirect
206. #2364C22semidirect
207. #2359C22semidirect
208. #2353C22semidirect
209. #2349C22semidirect
211. #2341C22semidirect
212. #2335C22semidirect
213. #2329C22semidirect
214. #2325C22semidirect
215. #2315C22semidirect
218. #2274C22semidirect
1194. C4⋊C4H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#582582
#579612
#572002
#563972
#518992
#506582
#506522
#495472
#478842
#478712
#464192
#439002
#431912
#424252
#410412
#405012
#377692
#377612
#367062
#360912
#359432
#355652
#353472