Finite Group Databasebeta

← #8093804

Subgroups — #8093804

Order 512.

5956 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52409C214yesmaximal, complemented
2#52405C214yesmaximal, complemented
3#52402C214yesmaximal, complemented
4#52400C214yesmaximal, complemented
5#52316C214yesmaximal, complemented
6#52315C214yesmaximal, complemented
7#46348C212yesmaximal, complemented
8#46324C212yesmaximal, complemented
9#46318C212yesmaximal, complemented
10#46310C212yesmaximal, complemented
11#46275C212yesmaximal, complemented
12#46225C212yesmaximal, complemented
13#46136C211yesmaximal, characteristic, complemented
14#46088C212yesmaximal, complemented
15#45977C211yesmaximal, characteristic, complemented
16#45817C214yesmaximal, complemented
17#45761C214yesmaximal, complemented
18#35355C212yesmaximal, complemented
19#35352C214yesmaximal, complemented
20#34998C214yesmaximal, complemented
21#34996C212yesmaximal, complemented
22#34738C212yesmaximal, complemented
23C2×#2431C211yesmaximal, characteristic, complemented
24C23×#41C2211yescharacteristic, complemented
25C2×#563C2211yescharacteristic, complemented
26C2×H(3,𝔽4)C2211yescharacteristic, complemented
27C2×#560C2212yescomplemented
28C2×#532C2212yescomplemented
29C2×#532C2212yescomplemented
30C22×#127C2211yescharacteristic
31C22×#124C2211yescharacteristic
32C2×#525C2212yes—
33C22×#121C2211yescharacteristic
34C2×#518C2212yescomplemented
35#2854C2214yescomplemented
36#2853C2214yescomplemented
37#2852C2214yescomplemented
38#2852C2214yescomplemented
39#2851C2212yescomplemented
40#2850C2212yes—
41#2850C2214yescomplemented
42#2831C2214yescomplemented
43#2829C2214yescomplemented
44#2829C2214yescomplemented
45#2829C2214yescomplemented
46#2828C2214yescomplemented
47#2828C2214yescomplemented
48#2826C2214yescomplemented
49#2825C2214yescomplemented
50#2825C2214yescomplemented
51#2824C2214yescomplemented
52#2820C2212yescomplemented
53#2819C2214yescomplemented
54#2819C2212yescomplemented
55#2818C2214yescomplemented
56#2818C2214yescomplemented
57#2815C2214yescomplemented
58#2815C2214yescomplemented
59#2813C2214yescomplemented
60#2813C2214yescomplemented
61#2813C2214yescomplemented
62#2812C2214yescomplemented
63#2809C2212yescomplemented
64#2808C2212yescomplemented
65#2797C2214yescomplemented
66#2764C2214yescomplemented
67#2762C2214yescomplemented
68#2761C2214yescomplemented
69#2749C2214yescomplemented
70#2745C2214yescomplemented
71#2733C2212yescomplemented
72#2732C2212yescomplemented
73#2731C2212yescomplemented
74#2731C2212yescomplemented
75#2730C2214yescomplemented
76#2717C2212yescomplemented
77#2716C2214yescomplemented
78#2715C2214yescomplemented
79#2715C2214yescomplemented
80#2714C2214yescomplemented
81#2712C2214yescomplemented
82#2711C2214yescomplemented
83#2710C2214yescomplemented
84#2709C2214yescomplemented
85#2709C2212yescomplemented
86#2706C2214yescomplemented
87#2706C2214yescomplemented
88#2696C2214yescomplemented
89#2688C2214yescomplemented
90#2684C2212yescomplemented
91#2682C2212yescomplemented
92#2682C2212yescomplemented
93#2682C2214yescomplemented
94#2678C2214yescomplemented
95#2676C2214yescomplemented
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2674C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2671C2214yescomplemented
104#2670C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2669C2212yescomplemented
109#2653C2214yescomplemented
110#2649C2214yescomplemented
111#2648C2214yescomplemented
112#2648C2214yescomplemented
113#2626C2212yescomplemented
114#2622C2214yescomplemented
115#2617C2212yes—
116#2609C2214yescomplemented
117#2600C2214yescomplemented
118#2598C2214yescomplemented
119#2598C2214yescomplemented
120#2579C2214yescomplemented
121#2535C2214yescomplemented
122#2534C2214yescomplemented
123#2523C2214yescomplemented
124#2518C2214yescomplemented
125#2518C2214yescomplemented
126#2518C2214yescomplemented
127#2518C2214yescomplemented
128#2517C2214yescomplemented
129#2510C2214yescomplemented
130#2510C2214yescomplemented
131#2505C2214yescomplemented
132#2488C2214yescomplemented
133#2480C2214yescomplemented
134#2477C2214yescomplemented
135#2476C2214yescomplemented
136#2476C2214yescomplemented
137#2472C2214yes—
138#2471C2214yescomplemented
139#2467C2214yescomplemented
140#2467C2214yescomplemented
141#2466C2214yescomplemented
142#2464C2214yescomplemented
143#2464C2214yescomplemented
144#2464C2214yescomplemented
145#2463C2214yescomplemented
146#2460C2214yescomplemented
147#2459C2214yescomplemented
148#2459C2214yescomplemented
149#2457C2214yescomplemented
150#2456C2214yescomplemented
151#2456C2214yescomplemented
152#2456C2214yescomplemented
153#2450C2214yescomplemented
154#2444C2214yes—
155#2444C2214yescomplemented
156#2437C2214yescomplemented
157#2437C2214yescomplemented
158#2436C2212yes—
159#2435C2212yescomplemented
160#2434C2212yescomplemented
161#2433C2212yes—
162#2432C2212yescomplemented
163#2432C2212yescomplemented
164#2431C2212yes—
165#2431C2212yes—
166#2431C2212yescomplemented
167#2431C2212yescomplemented
168#2431C2214yescomplemented
169#2431C2214yescomplemented
170#2431C2212yescomplemented
171#2431C2212yescomplemented
172#2430C2214yescomplemented
173#2430C2214yescomplemented
174#2425C2214yescomplemented
175#2424C2214yes—
176#2424C2214yescomplemented
177#2424C2214yescomplemented
178#2424C2214yescomplemented
179#2418C2214yescomplemented
180#2418C2214yescomplemented
181#2412C2214yescomplemented
182#2410C2214yes—
183#2410C2214yes—
184#2410C2214yes—
185#2410C2214yescomplemented
186#2410C2214yescomplemented
187#2408C2214yes—
188#2407C2214yescomplemented
189#2405C2212yes—
190#2405C2212yescomplemented
191#2405C2214yescomplemented
192#2404C2214yescomplemented
193#2403C2212yes—
194#2403C2214yescomplemented
195#2403C2212yescomplemented
196#2388C2214yescomplemented
197#2388C2214yescomplemented
198C2×#392C2214yescomplemented
199#2381C2212yescomplemented
200#2380C2212yescomplemented
201#2379C2212yescomplemented
202#2379C2211yescharacteristic, complemented
203#2379C2211yescharacteristic, complemented
204#2377C2214yescomplemented
205#2329C2212yescomplemented
206#2325C2212yes—
207#2321C2214yes—
208#2318C2214yescomplemented
209#2312C2212yescomplemented
210C4×#120C2214yescomplemented
211C4×#120C2214yescomplemented
212#2297C2212yescomplemented
213#2297C2212yescomplemented
214C2×#391C2211yescharacteristic, complemented
215C2×#390C2211yescharacteristic, complemented
216C2×#386C2214yescomplemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2212yescomplemented
219C22×#41—44no—
220C22×#41—44no—
221C22×#41—44no—
222C22×#41C2312yes—
223C22×#41C2312yes—
224C22×#41C2312yes—
225C22×#41C2312yes—
226C22×#41C2312yes—
227C23×Q8C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2312yes—
230C23×D4C2312yes—
231C23×D4C2311yescharacteristic
232C23×D4C2314yes—
233C23×D4C2312yes—
234C24×C4C2311yescharacteristic
235C24×C4C2312yes—
236#563—44no—
237H(3,𝔽4)—44no—
238#560—48no—
239#532—48no—
240#532—48no—
241C2×C4⋊Q8C2312yes—
242C2×C4⋊Q8C2312yes—
243C2×#127—44no—
244C2×#127C2312yes—
245C2×#127C2312yes—
246C2×#127C2312yes—
247C2×#127C2312yes—
248C2×#127C2312yes—
249C2×#127C2312yes—
250C2×#126C2314yes—
251C2×#126C2314yes—
252C2×#125C2312yes—
253C2×#124—44no—
254C2×#124C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#124C2312yes—
257C2×#124C2311yescharacteristic
258C2×#124C2312yes—
259C2×#124C2312yes—
260C2×#124C2314yes—
261C2×#124C2311yescharacteristic
262C2×#124C2314yes—
263C2×#124C2312yes—
264C2×#124C2312yes—
265#525—48no—
266C2×#123C2314yes—
267C2×#123C2312yes—
268C2×#123C2312yes—
269C2×#123C2314yes—
270C2×#123C2314yes—
271C2×#123C2314yes—
272C2×#123C2314yes—
273C2×#123C2314yes—
274C2×C22⋊Q8C2312yes—
275C2×C22⋊Q8C2314yes—
276C2×C22⋊Q8C2312yes—
277C2×C22⋊Q8C2312yes—
278C2×C22⋊Q8C2314yes—
279C2×#121—44no—
280C2×#121C2314yes—
281C2×#121C2312yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2312yes—
285C2×#121C2314yes—
286C2×#121C2312yes—
287C2×#121C2312yes—
288C2×#121C2314yes—
289C2×#121C2314yes—
290C2×#121C2314yes—
291C2×#121C2312yes—
292C2×#121C2314yes—
293C2×#121C2314yes—
294C2×#121C2314yes—
295C2×#121C2314yes—
296C2×#121C2314yes—
297C2×#120C2314yes—
298C2×#120C2314yes—
299C2×#120C2312yes—
300C2×#120C2312yes—
301C2×#120C2314yes—
302C2×#120C2314yes—
303C2×#120C2314yes—
304C2×#120C2314yes—
305C2×#120C2314yes—
306C2×#120C2314yes—
307#518—48no—
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×#117C2312yes—
318C2×#117C2314yes—
319C22×C4⋊C4C2311yescharacteristic
320C22×C22⋊C4C2312yes—
321C22×C22⋊C4C2312yes—
322C22×C22⋊C4C2314yes—
323C22×C22⋊C4C2314yes—
324C22×C22⋊C4C2312yes—
325C22×C22⋊C4C2314yes—
326C22×C22⋊C4C2314yes—
327C22×C42C2311yescharacteristic
328C22×C42C2312yes—
329C22×C42C2311yescharacteristic
330C22×C42C2312yes—
331#401C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#399C2314yes—
339#399C2314yes—
340#399C2314yes—
341#399C2314yes—
342#398C2314yes—
343#398C2314yes—
344#398C2314yes—
345#398C2314yes—
346#397C2314yes—
347#397C2314yes—
348#397C2314yes—
349#397C2314yes—
350#397C2314yes—
351#397C2314yes—
352#397C2314yes—
353#397C2314yes—
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#396C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#396C2314yes—
371#396C2314yes—
372#396C2314yes—
373#395C2314yes—
374#395C2314yes—
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#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#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#393C2314yes—
413#393C2314yes—
414#393C2314yes—
415#393C2314yes—
416#393C2314yes—
417#393C2314yes—
418#393C2314yes—
419#392C2314yes—
420#392C2314yes—
421#392C2314yes—
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#392C2314yes—
440#392C2314yes—
441#392C2314yes—
442#392C2314yes—
443#392C2314yes—
444#392C2314yes—
445#392C2314yes—
446#392C2314yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#391C2312yes—
452#391C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2314yes—
458#391C2314yes—
459#391C2312yes—
460#391C2312yes—
461#390C2312yes—
462#390C2314yes—
463#390C2312yes—
464#390C2312yes—
465#390C2314yes—
466#390C2314yes—
467#390C2314yes—
468#390C2312yes—
469#390C2314yes—
470#390C2312yes—
471#390C2314yes—
472#390C2312yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#389C2314yes—
477#389C2312yes—
478#389C2312yes—
479#389C2314yes—
480#388C2314yes—
481#388C2314yes—
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#387C2314yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
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#386C2312yes—
554#386C2314yes—
555#386C2312yes—
556#386C2312yes—
557#386C2312yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#383C2314yes—
589#383C2314yes—
590#383C2314yes—
591#382C2312yes—
592#382C2314yes—
593#382C2312yes—
594#382C2314yes—
595#381C2314yes—
596#381C2314yes—
597#381C2314yes—
598#380C2314yes—
599#380C2314yes—
600#380C2312yes—
601#380C2312yes—
602#380C2314yes—
603#380C2314yes—
604#380C2314yes—
605#379C2312yes—
606#379C2312yes—
607#379C2314yes—
608#379C2314yes—
609#379C2314yes—
610#379C2314yes—
611C4×C22⋊C4C2314yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2312yes—
618C4×C22⋊C4C2312yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2312yes—
621C4×C22⋊C4C2312yes—
622C4×C22⋊C4C2312yes—
623C4×C22⋊C4C2312yes—
624C2×#95C2312yes—
625C2×#95C2314yes—
626C2×#95C2314yes—
627C25C2412yes—
628C25C2412yes—
629C25C2411yescharacteristic
630C25C2412yes—
631C2×#41—28no—
632C2×#41—28no—
633C2×#41—44no—
634C2×#41—44no—
635C2×#41—44no—
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×Q8C2412yes—
654C22×Q8C2411yescharacteristic
655C22×D4—24no—
656C22×D4—42no—
657C22×D4—44no—
658C22×D4—42no—
659C22×D4—42no—
660C22×D4—42no—
661C22×D4—44no—
662C22×D4—42no—
663C22×D4—44no—
664C22×D4—48no—
665C22×D4—44no—
666C22×D4—48no—
667C22×D4—44no—
668C22×D4—48no—
669C22×D4—84no—
670C22×D4—84no—
671C22×D4C2414yes—
672C22×D4C2412yes—
673C22×D4C2412yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2411yescharacteristic
677C22×D4C2412yes—
678C22×D4C2412yes—
679C22×D4C2414yes—
680C22×D4C2411yescharacteristic
681C22×D4C2414yes—
682C22×D4C2412yes—
683C22×D4C2412yes—
684C22×D4C2411yescharacteristic
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2414yes—
689C22×D4C2414yes—
690C22×D4C2414yes—
691C22×D4C2414yes—
692C22×D4C2412yes—
693C22×D4C2414yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2412yes—
698C22×D4C2411yescharacteristic
699C23×C4—24no—
700C23×C4—28no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—44no—
704C23×C4—44no—
705C23×C4C2411yescharacteristic
706C23×C4C2412yes—
707C23×C4C2412yes—
708C23×C4C2412yes—
709C23×C4C2412yes—
710C23×C4C2412yes—
711C23×C4C2412yes—
712C23×C4C2412yes—
713C23×C4C2412yes—
714C23×C4C2414yes—
715C23×C4C2414yes—
716C23×C4C2412yes—
717C23×C4C2412yes—
718C23×C4C2414yes—
719C23×C4C2412yes—
720C23×C4C2412yes—
721C23×C4C2414yes—
722C23×C4C2412yes—
723C23×C4C2411yescharacteristic
724C4⋊Q8—28no—
725C4⋊Q8—44no—
726#127—28no—
727#127—44no—
728#127—44no—
729#127—44no—
730#127—44no—
731#127—44no—
732#126—48no—
733#126—48no—
734#125—44no—
735#124—24no—
736#124—24no—
737#124—28no—
738#124—48no—
739#124—44no—
740#124—42no—
741#124—42no—
742#124—44no—
743#124—44no—
744#124—48no—
745#124—44no—
746#123—48no—
747#123—48no—
748#123—44no—
749#123—44no—
750#123—84no—
751#123—84no—
752#123—84no—
753#123—84no—
754C22⋊Q8—44no—
755C22⋊Q8—44no—
756C22⋊Q8—48no—
757C22⋊Q8—44no—
758C22⋊Q8—84no—
759#121—216no—
760#121—44no—
761#121—48no—
762#121—44no—
763#121—44no—
764#121—48no—
765#121—48no—
766#121—48no—
767#121—44no—
768#121—44no—
769#121—48no—
770#121—48no—
771#121—84no—
772#121—84no—
773#121—84no—
774#121—84no—
775#121—84no—
776#120—44no—
777#120—48no—
778#120—44no—
779#120—48no—
780#120—48no—
781#120—48no—
782#120—48no—
783#120—48no—
784#120—84no—
785#120—84no—
786C4×D4—216no—
787C4×D4—48no—
788C4×D4—48no—
789C4×D4—48no—
790C4×D4—48no—
791C4×D4—48no—
792C4×D4—48no—
793C4×D4—48no—
794C4×D4—48no—
795#117—44no—
796#117—48no—
797C2×C4⋊C4—42no—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2412yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2412yes—
826C2×C22⋊C4—28no—
827C2×C22⋊C4—48no—
828C2×C22⋊C4—48no—
829C2×C22⋊C4—48no—
830C2×C22⋊C4—44no—
831C2×C22⋊C4—44no—
832C2×C22⋊C4—84no—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
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⋊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⋊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⋊C4C2412yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
893C2×C42—42no—
894C2×C42—42no—
895C2×C42—44no—
896C2×C42—44no—
897C2×C42C2414yes—
898C2×C42C2411yescharacteristic
899C2×C42C2412yes—
900C2×C42C2411yescharacteristic
901C2×C42C2412yes—
902C2×C42C2412yes—
903C2×C42C2414yes—
904C2×C42C2414yes—
905C2×C42C2414yes—
906C2×C42C2412yes—
907C2×C42C2412yes—
908C2×C42C2412yes—
909C2×C42C2412yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
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—
948C24—22no—
949C24—24no—
950C24—24no—
951C24—28no—
952C24—24no—
953C24—24no—
954C24—28no—
955C24—44no—
956C24—42no—
957C24—41no—
958C24—41no—
959C24—42no—
960C24—42no—
961C24—44no—
962C24—42no—
963C24—42no—
964C24—44no—
965C24—42no—
966C24—42no—
967C24—44no—
968C24C2512yes—
969C24C2512yes—
970C24C2514yes—
971C24C2512yes—
972C24C2512yes—
973C24C2512yes—
974C24C2511yescharacteristic
975#41—432no—
976#41—432no—
977#41—432no—
978#41—432no—
979#41—816no—
980C2×Q8—24no—
981C2×Q8—22no—
982C2×Q8—24no—
983C2×Q8—24no—
984C2×Q8—41no—
985C2×Q8—41no—
986C2×Q8—41no—
987C2×Q8—42no—
988C2×Q8—41no—
989C2×Q8—42no—
990C2×Q8—42no—
991C2×Q8—42no—
992C2×Q8—42no—
993C2×Q8—42no—
994C2×Q8—416no—
995C2×Q8H(5,𝔽2)14yes—
996C2×D4—28no—
997C2×D4—24no—
998C2×D4—24no—
999C2×D4—24no—
1000C2×D4—28no—
1001C2×D4—28no—
1002C2×D4—28no—
1003C2×D4—28no—
1004C2×D4—28no—
1005C2×D4—28no—
1006C2×D4—24no—
1007C2×D4—24no—
1008C2×D4—24no—
1009C2×D4—22no—
1010C2×D4—22no—
1011C2×D4—24no—
1012C2×D4—24no—
1013C2×D4—22no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—42no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—42no—
1022C2×D4—41no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—416no—
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—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—41no—
1047C2×D4—42no—
1048C2×D4—41no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—42no—
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—44no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—42no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—42no—
1077C2×D4—44no—
1078C2×D4—42no—
1079C2×D4—44no—
1080C2×D4—432no—
1081C2×D4—432no—
1082C2×D4—88no—
1083C2×D4—832no—
1084C2×D4—816no—
1085C2×D4H(5,𝔽2)14yes—
1086C22×C4—24no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—24no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—24no—
1095C22×C4—28no—
1096C22×C4—24no—
1097C22×C4—24no—
1098C22×C4—24no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—24no—
1103C22×C4—24no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—24no—
1107C22×C4—28no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—44no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—42no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—42no—
1132C22×C4—44no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—42no—
1139C22×C4—416no—
1140C22×C4—432no—
1141C22×C4H(5,𝔽2)14yes—
1142C22×C4C2514yes—
1143C22×C4C2514yes—
1144C22×C4C2512yes—
1145C22×C4C2514yes—
1146C22×C4C2512yes—
1147C22×C4C2514yes—
1148C22×C4C2514yes—
1149C22×C4C2514yes—
1150C22×C4C2514yes—
1151C22×C4C2514yes—
1152C22×C4C2512yes—
1153C22×C4C2514yes—
1154C22×C4C2512yes—
1155C22×C4C2512yes—
1156C22×C4C2511yescharacteristic
1157C22×C4C2511yescharacteristic
1158C4⋊C4—28no—
1159C4⋊C4—28no—
1160C4⋊C4—28no—
1161C4⋊C4—28no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—44no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—42no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—42no—
1178C4⋊C4—44no—
1179C4⋊C4—42no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—44no—
1185C4⋊C4—42no—
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—44no—
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—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
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—42no—
1226C22⋊C4—44no—
1227C22⋊C4—42no—
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—42no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—42no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C42—24no—
1247C42—22no—
1248C42—22no—
1249C42—24no—
1250C42—24no—
1251C42—28no—
1252C42—44no—
1253C42—44no—
1254C42—42no—
1255C42—42no—
1256C42—42no—
1257C42—42no—
1258C42—44no—
1259C23—21no—
1260C23—21no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—24no—
1265C23—24no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—24no—
1270C23—22no—
1271C23—24no—
1272C23—24no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—24no—
1282C23—24no—
1283C23—24no—
1284C23—24no—
1285C23—24no—
1286C23—24no—
1287C23—24no—
1288C23—24no—
1289C23—24no—
1290C23—24no—
1291C23—24no—
1292C23—24no—
1293C23—48no—
1294C23—416no—
1295C23—44no—
1296C23—44no—
1297C23—48no—
1298C23—48no—
1299C23—44no—
1300C23—48no—
1301C23—84no—
1302C23—84no—
1303C23—88no—
1304C23—84no—
1305C23—84no—
1306C23—84no—
1307C23—88no—
1308C23—88no—
1309C23—162no—
1310C23—162no—
1311C23—164no—
1312C23—164no—
1313C23C2×H(5,𝔽2)14yes—
1314C23C2×H(5,𝔽2)12yes—
1315C23#58514yes—
1316C23C2611yescharacteristic
1317Q8—44no—
1318Q8—48no—
1319Q8—44no—
1320Q8—84no—
1321Q8—162no—
1322D4—44no—
1323D4—48no—
1324D4—48no—
1325D4—44no—
1326D4—48no—
1327D4—48no—
1328D4—416no—
1329D4—48no—
1330D4—416no—
1331D4—82no—
1332D4—84no—
1333D4—82no—
1334D4—84no—
1335D4—88no—
1336D4—88no—
1337D4—88no—
1338D4—88no—
1339D4—88no—
1340D4—88no—
1341D4—88no—
1342D4—88no—
1343D4—88no—
1344D4—88no—
1345D4—88no—
1346D4—88no—
1347D4—164no—
1348D4—162no—
1349D4—164no—
1350C2×C4—28no—
1351C2×C4—216no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—21no—
1355C2×C4—22no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—24no—
1364C2×C4—24no—
1365C2×C4—24no—
1366C2×C4—24no—
1367C2×C4—24no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—22no—
1373C2×C4—24no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—22no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—24no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—24no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—44no—
1397C2×C4—48no—
1398C2×C4—48no—
1399C2×C4—48no—
1400C2×C4—48no—
1401C2×C4—48no—
1402C2×C4—48no—
1403C2×C4—48no—
1404C2×C4—48no—
1405C2×C4—88no—
1406C2×C4—88no—
1407C2×C4—84no—
1408C2×C4—84no—
1409C2×C4—88no—
1410C2×C4—162no—
1411C2×C4—164no—
1412C2×C4—162no—
1413C2×C4C2×H(5,𝔽2)14yes—
1414C2×C4C2×H(5,𝔽2)14yes—
1415C2×C4C2×H(5,𝔽2)12yes—
1416C2×C4C2×H(5,𝔽2)12yes—
1417C22—22no—
1418C22—22no—
1419C22—24no—
1420C22—24no—
1421C22—24no—
1422C22—28no—
1423C22—42no—
1424C22—44no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—44no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—44no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—44no—
1437C22—44no—
1438C22—44no—
1439C22—44no—
1440C22—44no—
1441C22—44no—
1442C22—44no—
1443C22—44no—
1444C22—44no—
1445C22—44no—
1446C22—44no—
1447C22—44no—
1448C22—42no—
1449C22—42no—
1450C22—44no—
1451C22—42no—
1452C22—42no—
1453C22—816no—
1454C22—88no—
1455C22—168no—
1456C22—168no—
1457C22#352914yes—
1458C22C22×H(5,𝔽2)11yescharacteristic
1459C22C22×H(5,𝔽2)11yescharacteristic
1460C22C22×H(5,𝔽2)11yescharacteristic
1461C22C2×#58512yes—
1462C22H(7,𝔽2)12yes—
1463C4—24no—
1464C4—22no—
1465C4—22no—
1466C4—24no—
1467C4—42no—
1468C4—44no—
1469C4—44no—
1470C4—44no—
1471C4—44no—
1472C4—44no—
1473C4—44no—
1474C4—42no—
1475C4—44no—
1476C4—44no—
1477C4—42no—
1478C4—44no—
1479C2—24no—
1480C2—44no—
1481C2—82no—
1482C2—82no—
1483C2—84no—
1484C2—82no—
1485C2—82no—
1486C2C2×#352911yescharacteristic
1487C2#6281711yescharacteristic
1488C2#6287411yescharacteristic
1489C2#6289612yes—
1490C2#6289912yes—
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. #52409C2semidirect
2. #52405C2semidirect
3. #52402C2semidirect
4. #52400C2semidirect
5. #52316C2semidirect
6. #52315C2semidirect
7. #46348C2semidirect
8. #46324C2semidirect
9. #46318C2semidirect
10. #46310C2semidirect
11. #46275C2semidirect
12. #46225C2semidirect
13. #46136C2semidirect
14. #46088C2semidirect
15. #45977C2semidirect
16. #45817C2semidirect
17. #45761C2semidirect
18. #35355C2semidirect
19. #35352C2semidirect
20. #34998C2semidirect
21. #34996C2semidirect
22. #34738C2semidirect
23. C2×#2431C2semidirect
24. C23×#41C22semidirect
25. C2×#563C22semidirect
26. C2×H(3,𝔽4)C22semidirect
27. C2×#560C22semidirect
28. C2×#532C22semidirect
29. C2×#532C22semidirect
34. C2×#518C22semidirect
35. #2854C22semidirect
36. #2853C22semidirect
37. #2852C22semidirect
38. #2852C22semidirect
39. #2851C22semidirect
41. #2850C22semidirect
42. #2831C22semidirect
43. #2829C22semidirect
44. #2829C22semidirect
45. #2829C22semidirect
46. #2828C22semidirect
47. #2828C22semidirect
48. #2826C22semidirect
49. #2825C22semidirect
50. #2825C22semidirect
51. #2824C22semidirect
52. #2820C22semidirect
53. #2819C22semidirect
54. #2819C22semidirect
55. #2818C22semidirect
56. #2818C22semidirect
57. #2815C22semidirect
58. #2815C22semidirect
59. #2813C22semidirect
60. #2813C22semidirect
61. #2813C22semidirect
62. #2812C22semidirect
63. #2809C22semidirect
64. #2808C22semidirect
65. #2797C22semidirect
66. #2764C22semidirect
67. #2762C22semidirect
68. #2761C22semidirect
69. #2749C22semidirect
70. #2745C22semidirect
71. #2733C22semidirect
72. #2732C22semidirect
73. #2731C22semidirect
74. #2731C22semidirect
75. #2730C22semidirect
76. #2717C22semidirect
77. #2716C22semidirect
78. #2715C22semidirect
79. #2715C22semidirect
80. #2714C22semidirect
81. #2712C22semidirect
82. #2711C22semidirect
83. #2710C22semidirect
84. #2709C22semidirect
85. #2709C22semidirect
86. #2706C22semidirect
87. #2706C22semidirect
88. #2696C22semidirect
89. #2688C22semidirect
90. #2684C22semidirect
91. #2682C22semidirect
92. #2682C22semidirect
93. #2682C22semidirect
94. #2678C22semidirect
95. #2676C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
98. #2674C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2671C22semidirect
104. #2670C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2653C22semidirect
110. #2649C22semidirect
111. #2648C22semidirect
112. #2648C22semidirect
113. #2626C22semidirect
114. #2622C22semidirect
116. #2609C22semidirect
117. #2600C22semidirect
118. #2598C22semidirect
119. #2598C22semidirect
120. #2579C22semidirect
121. #2535C22semidirect
122. #2534C22semidirect
123. #2523C22semidirect
124. #2518C22semidirect
125. #2518C22semidirect
126. #2518C22semidirect
127. #2518C22semidirect
128. #2517C22semidirect
129. #2510C22semidirect
130. #2510C22semidirect
131. #2505C22semidirect
132. #2488C22semidirect
133. #2480C22semidirect
134. #2477C22semidirect
135. #2476C22semidirect
136. #2476C22semidirect
138. #2471C22semidirect
139. #2467C22semidirect
140. #2467C22semidirect
141. #2466C22semidirect
142. #2464C22semidirect
143. #2464C22semidirect
144. #2464C22semidirect
145. #2463C22semidirect
146. #2460C22semidirect
147. #2459C22semidirect
148. #2459C22semidirect
149. #2457C22semidirect
150. #2456C22semidirect
151. #2456C22semidirect
152. #2456C22semidirect
153. #2450C22semidirect
155. #2444C22semidirect
156. #2437C22semidirect
157. #2437C22semidirect
159. #2435C22semidirect
160. #2434C22semidirect
162. #2432C22semidirect
163. #2432C22semidirect
166. #2431C22semidirect
167. #2431C22semidirect
168. #2431C22semidirect
169. #2431C22semidirect
170. #2431C22semidirect
171. #2431C22semidirect
172. #2430C22semidirect
173. #2430C22semidirect
174. #2425C22semidirect
176. #2424C22semidirect
177. #2424C22semidirect
178. #2424C22semidirect
179. #2418C22semidirect
180. #2418C22semidirect
181. #2412C22semidirect
185. #2410C22semidirect
186. #2410C22semidirect
188. #2407C22semidirect
190. #2405C22semidirect
191. #2405C22semidirect
192. #2404C22semidirect
194. #2403C22semidirect
195. #2403C22semidirect
196. #2388C22semidirect
197. #2388C22semidirect
198. C2×#392C22semidirect
199. #2381C22semidirect
200. #2380C22semidirect
201. #2379C22semidirect
202. #2379C22semidirect
203. #2379C22semidirect
204. #2377C22semidirect
205. #2329C22semidirect
208. #2318C22semidirect
209. #2312C22semidirect
210. C4×#120C22semidirect
211. C4×#120C22semidirect
212. #2297C22semidirect
213. #2297C22semidirect
214. C2×#391C22semidirect
215. C2×#390C22semidirect
216. C2×#386C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#524092
#524052
#524022
#524002
#523162
#523152
#463482
#463242
#463182
#463102
#462752
#462252
#461362
#460882
#459772
#458172
#457612
#353552
#353522
#349982
#349962
#347382
C2×#24312