Finite Group Databasebeta

← #8093803

Subgroups — #8093803

Order 512.

5964 conjugacy classes of subgroups.

The subgroup lattice has 1475 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52337C214yesmaximal, complemented
2#52333C214yesmaximal, complemented
3#52329C214yesmaximal, complemented
4#52325C214yesmaximal, complemented
5#52316C214yesmaximal, complemented
6#52315C214yesmaximal, complemented
7#46349C212yesmaximal, complemented
8#46324C212yesmaximal, complemented
9#46199C211yesmaximal, characteristic, complemented
10#46089C211yesmaximal, characteristic, complemented
11#45976C212yesmaximal, complemented
12#45741C212yesmaximal, complemented
13#45738C214yesmaximal, complemented
14#45730C212yesmaximal, complemented
15#45452C212yesmaximal, complemented
16#45449C214yesmaximal, complemented
17#45441C212yesmaximal, complemented
18#35395C212yesmaximal, complemented
19#35371C214yesmaximal, complemented
20#34996C212yesmaximal, complemented
21#34990C214yesmaximal, complemented
22#34736C212yesmaximal, complemented
23C2×#2431C211yesmaximal, characteristic, complemented
24C23×#41C2211yescharacteristic
25C2×#562C2212yescomplemented
26C2×#560C2212yescomplemented
27C2×#538C2212yes—
28C22×#127C2211yescharacteristic
29C22×#124C2211yescharacteristic, complemented
30C2×#525C2212yescomplemented
31C2×#525C2212yescomplemented
32C22×#121C2211yescharacteristic, complemented
33C22×C4×D4C2212yescomplemented
34#2852C2214yescomplemented
35#2852C2214yescomplemented
36#2851C2212yescomplemented
37#2850C2212yes—
38#2850C2214yescomplemented
39#2849C2214yescomplemented
40#2847C2214yescomplemented
41#2833C2212yescomplemented
42#2832C2212yescomplemented
43#2830C2212yescomplemented
44#2829C2214yescomplemented
45#2829C2214yescomplemented
46#2828C2212yescomplemented
47#2828C2214yescomplemented
48#2828C2214yescomplemented
49#2826C2214yescomplemented
50#2825C2214yescomplemented
51#2825C2214yescomplemented
52#2824C2214yescomplemented
53#2820C2212yescomplemented
54#2819C2214yescomplemented
55#2819C2212yescomplemented
56#2818C2214yescomplemented
57#2818C2214yescomplemented
58#2815C2214yescomplemented
59#2815C2214yescomplemented
60#2813C2214yescomplemented
61#2813C2214yescomplemented
62#2813C2214yescomplemented
63#2812C2214yescomplemented
64#2804C2211yescharacteristic, complemented
65#2799C2212yescomplemented
66#2797C2214yescomplemented
67#2775C2214yescomplemented
68#2759C2214yescomplemented
69#2758C2214yescomplemented
70#2753C2214yescomplemented
71#2749C2214yescomplemented
72#2733C2212yescomplemented
73#2730C2214yescomplemented
74#2730C2214yescomplemented
75#2728C2212yescomplemented
76#2727C2212yescomplemented
77#2724C2211yescharacteristic, complemented
78#2723C2214yescomplemented
79#2714C2214yescomplemented
80#2710C2214yescomplemented
81#2710C2214yescomplemented
82#2709C2214yescomplemented
83#2709C2212yescomplemented
84#2707C2214yescomplemented
85#2706C2214yescomplemented
86#2702C2214yescomplemented
87#2700C2214yescomplemented
88#2698C2214yescomplemented
89#2696C2214yescomplemented
90#2688C2214yescomplemented
91#2686C2214yescomplemented
92#2683C2211yescharacteristic, complemented
93#2682C2214yescomplemented
94#2679C2211yescharacteristic, complemented
95#2678C2214yescomplemented
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2676C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2672C2214yescomplemented
104#2671C2214yescomplemented
105#2670C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2669C2214yescomplemented
109#2669C2212yescomplemented
110#2636C2214yescomplemented
111#2635C2214yescomplemented
112#2631C2214yescomplemented
113#2630C2214yescomplemented
114#2626C2212yescomplemented
115#2622C2214yescomplemented
116#2617C2212yes—
117#2591C2212yes—
118#2583C2212yescomplemented
119#2578C2214yescomplemented
120#2578C2214yescomplemented
121#2576C2214yescomplemented
122#2576C2214yescomplemented
123#2572C2214yescomplemented
124#2559C2214yescomplemented
125#2559C2214yescomplemented
126#2559C2214yescomplemented
127#2557C2214yescomplemented
128#2555C2214yescomplemented
129#2555C2214yescomplemented
130#2553C2214yescomplemented
131#2523C2214yescomplemented
132#2518C2214yescomplemented
133#2518C2214yescomplemented
134#2517C2214yescomplemented
135#2510C2214yescomplemented
136#2505C2214yescomplemented
137#2481C2214yescomplemented
138#2480C2214yescomplemented
139#2477C2214yescomplemented
140#2476C2214yescomplemented
141#2472C2214yes—
142#2472C2214yescomplemented
143#2471C2214yescomplemented
144#2470C2214yescomplemented
145#2467C2214yescomplemented
146#2467C2214yescomplemented
147#2466C2214yescomplemented
148#2464C2214yescomplemented
149#2464C2214yescomplemented
150#2460C2214yescomplemented
151#2459C2214yescomplemented
152#2459C2214yescomplemented
153#2457C2214yescomplemented
154#2457C2214yescomplemented
155#2456C2214yescomplemented
156#2456C2214yescomplemented
157#2450C2214yescomplemented
158#2444C2214yes—
159#2443C2214yescomplemented
160#2437C2214yescomplemented
161#2437C2214yescomplemented
162#2435C2212yescomplemented
163#2433C2212yes—
164#2431C2212yes—
165#2431C2212yes—
166#2431C2214yescomplemented
167#2431C2212yescomplemented
168#2431C2212yescomplemented
169#2431C2214yescomplemented
170#2428C2214yescomplemented
171#2428C2214yescomplemented
172#2427C2214yescomplemented
173#2424C2214yes—
174#2424C2214yescomplemented
175#2420C2214yescomplemented
176#2418C2214yescomplemented
177#2412C2214yescomplemented
178#2410C2214yes—
179#2410C2214yes—
180#2410C2214yes—
181#2410C2214yescomplemented
182#2410C2214yescomplemented
183#2409C2214yescomplemented
184#2408C2214yes—
185#2407C2214yescomplemented
186#2407C2214yescomplemented
187#2406C2212yescomplemented
188#2406C2212yescomplemented
189#2405C2212yes—
190#2405C2214yescomplemented
191#2405C2212yescomplemented
192#2404C2212yescomplemented
193#2404C2212yescomplemented
194#2403C2212yes—
195#2403C2212yescomplemented
196#2403C2214yescomplemented
197#2388C2214yescomplemented
198#2388C2214yescomplemented
199C2×#392C2214yescomplemented
200#2380C2212yescomplemented
201#2379C2212yescomplemented
202#2378C2214yescomplemented
203#2376C2212yescomplemented
204#2375C2212yescomplemented
205#2329C2212yescomplemented
206#2325C2212yes—
207#2321C2214yescomplemented
208#2318C2214yescomplemented
209C4×#120C2214yes—
210C4×#120C2214yescomplemented
211#2297C2212yescomplemented
212#2297C2212yescomplemented
213C2×#391C2211yescharacteristic, complemented
214C2×#390C2211yescharacteristic
215C2×#386C2214yescomplemented
216#2280C2212yescomplemented
217#2273C2212yescomplemented
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×D4C2311yescharacteristic
228C23×D4C2312yes—
229C23×D4C2312yes—
230C23×D4C2311yescharacteristic
231C23×D4C2314yes—
232C23×D4C2312yes—
233C24×C4C2312yes—
234C24×C4C2311yescharacteristic
235C24×C4C2312yes—
236#562—48no—
237#560—48no—
238#538—48no—
239C2×#127—44no—
240C2×#127C2312yes—
241C2×#127C2312yes—
242C2×#127C2314yes—
243C2×#127C2314yes—
244C2×#126C2314yes—
245C2×#126C2314yes—
246C2×#126C2314yes—
247C2×#125C2312yes—
248C2×#124—44no—
249C2×#124C2312yes—
250C2×#124C2312yes—
251C2×#124C2312yes—
252C2×#124C2314yes—
253C2×#124C2312yes—
254C2×#124C2312yes—
255C2×#124C2314yes—
256C2×#124C2314yes—
257#525—48no—
258#525—48no—
259C2×#123C2312yes—
260C2×#123C2314yes—
261C2×#123C2314yes—
262C2×#123C2312yes—
263C2×#123C2312yes—
264C2×#123C2312yes—
265C2×#123C2314yes—
266C2×#123C2314yes—
267C2×#123C2314yes—
268C2×C22⋊Q8C2314yes—
269C2×C22⋊Q8C2312yes—
270C2×C22⋊Q8C2312yes—
271C2×C22⋊Q8C2314yes—
272C2×C22⋊Q8C2314yes—
273C2×C22⋊Q8C2314yes—
274C2×#121—44no—
275C2×#121C2312yes—
276C2×#121C2312yes—
277C2×#121C2314yes—
278C2×#121C2314yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#121C2314yes—
282C2×#121C2312yes—
283C2×#121C2314yes—
284C2×#121C2312yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2314yes—
289C2×#121C2314yes—
290C2×#121C2314yes—
291C2×#121C2314yes—
292C2×#120C2312yes—
293C2×#120C2314yes—
294C2×#120C2314yes—
295C2×#120C2314yes—
296C2×#120C2312yes—
297C2×#120C2314yes—
298C2×#120C2312yes—
299C2×#120C2312yes—
300C2×#120C2314yes—
301C2×#120C2314yes—
302C2×#120C2314yes—
303C2×C4×D4—48no—
304C2×C4×D4C2314yes—
305C2×C4×D4C2314yes—
306C2×C4×D4C2314yes—
307C2×C4×D4C2314yes—
308C2×C4×D4C2314yes—
309C2×C4×D4C2314yes—
310C2×C4×D4C2314yes—
311C2×C4×D4C2314yes—
312C2×#117C2312yes—
313C2×#117C2312yes—
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2312yes—
316C22×C22⋊C4C2312yes—
317C22×C22⋊C4C2312yes—
318C22×C22⋊C4C2314yes—
319C22×C22⋊C4C2312yes—
320C22×C22⋊C4C2312yes—
321C22×C22⋊C4C2314yes—
322C22×C22⋊C4C2314yes—
323C22×C42C2311yescharacteristic
324C22×C42C2312yes—
325C22×C42C2311yescharacteristic
326#401C2314yes—
327#400C2314yes—
328#400C2314yes—
329#400C2314yes—
330#400C2314yes—
331#400C2314yes—
332#400C2312yes—
333#400C2312yes—
334#400C2314yes—
335#399C2314yes—
336#399C2314yes—
337#399C2314yes—
338#399C2314yes—
339#398C2314yes—
340#398C2314yes—
341#398C2312yes—
342#398C2312yes—
343#397C2314yes—
344#397C2314yes—
345#397C2314yes—
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#396C2314yes—
360#396C2314yes—
361#396C2314yes—
362#396C2314yes—
363#396C2314yes—
364#396C2314yes—
365#396C2314yes—
366#396C2314yes—
367#396C2314yes—
368#395C2314yes—
369#395C2312yes—
370#395C2312yes—
371#395C2314yes—
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#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2312yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2312yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#393C2314yes—
412#393C2314yes—
413#393C2314yes—
414#393C2314yes—
415#393C2314yes—
416#393C2314yes—
417#393C2314yes—
418#392C2314yes—
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#391C2314yes—
451#391C2312yes—
452#391C2312yes—
453#391C2314yes—
454#391C2312yes—
455#391C2314yes—
456#391C2314yes—
457#391C2312yes—
458#391C2312yes—
459#390C2311yescharacteristic
460#390C2314yes—
461#390C2314yes—
462#390C2314yes—
463#390C2311yescharacteristic
464#390C2314yes—
465#390C2314yes—
466#390C2312yes—
467#390C2314yes—
468#390C2311yescharacteristic
469#390C2314yes—
470#390C2311yescharacteristic
471#390C2314yes—
472#390C2314yes—
473#389C2314yes—
474#389C2314yes—
475#389C2314yes—
476#389C2312yes—
477#389C2312yes—
478#389C2314yes—
479#388C2314yes—
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#387C2314yes—
505#387C2314yes—
506#387C2314yes—
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#386C2312yes—
520#386C2314yes—
521#386C2312yes—
522#386C2314yes—
523#386C2314yes—
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#386C2312yes—
553#386C2314yes—
554#386C2312yes—
555#386C2314yes—
556#386C2314yes—
557#386C2312yes—
558#386C2312yes—
559#386C2314yes—
560#386C2312yes—
561#386C2312yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
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#383C2314yes—
584#383C2314yes—
585#383C2314yes—
586#382C2314yes—
587#382C2312yes—
588#382C2312yes—
589#382C2314yes—
590#381C2312yes—
591#381C2314yes—
592#381C2314yes—
593#381C2312yes—
594#381C2314yes—
595#380C2314yes—
596#380C2314yes—
597#380C2314yes—
598#380C2312yes—
599#380C2312yes—
600#380C2314yes—
601#380C2314yes—
602#380C2314yes—
603#379C2314yes—
604#379C2314yes—
605#379C2314yes—
606#379C2312yes—
607#379C2314yes—
608#379C2312yes—
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⋊C4C2312yes—
618C4×C22⋊C4C2312yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2314yes—
621C4×C22⋊C4C2312yes—
622C4×C22⋊C4C2312yes—
623C4×C22⋊C4C2314yes—
624C2×#95C2312yes—
625C2×#95C2314yes—
626C25C2412yes—
627C25C2412yes—
628C25C2411yescharacteristic
629C25C2412yes—
630C2×#41—28no—
631C2×#41—28no—
632C2×#41—44no—
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—464no—
643C22×Q8—24no—
644C22×Q8—42no—
645C22×Q8—42no—
646C22×Q8C2412yes—
647C22×Q8C2411yescharacteristic
648C22×Q8C2412yes—
649C22×Q8C2412yes—
650C22×Q8C2411yescharacteristic
651C22×D4—24no—
652C22×D4—42no—
653C22×D4—44no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—44no—
658C22×D4—42no—
659C22×D4—44no—
660C22×D4—48no—
661C22×D4—44no—
662C22×D4—48no—
663C22×D4—44no—
664C22×D4—48no—
665C22×D4—84no—
666C22×D4—84no—
667C22×D4C2414yes—
668C22×D4C2412yes—
669C22×D4C2412yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2412yes—
674C22×D4C2412yes—
675C22×D4C2412yes—
676C22×D4C2412yes—
677C22×D4C2411yescharacteristic
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C22×D4C2412yes—
685C22×D4C2412yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2414yes—
689C22×D4C2414yes—
690C22×D4C2414yes—
691C22×D4C2414yes—
692C22×D4C2412yes—
693C22×D4C2411yescharacteristic
694C23×C4—28no—
695C23×C4—24no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—44no—
699C23×C4—44no—
700C23×C4—44no—
701C23×C4—44no—
702C23×C4—44no—
703C23×C4C2411yescharacteristic
704C23×C4C2412yes—
705C23×C4C2412yes—
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×C4C2414yes—
720C23×C4C2412yes—
721C23×C4C2411yescharacteristic
722#127—28no—
723#127—44no—
724#127—48no—
725#127—84no—
726#126—48no—
727#126—48no—
728#126—84no—
729#125—44no—
730#124—28no—
731#124—48no—
732#124—44no—
733#124—44no—
734#124—44no—
735#124—44no—
736#124—84no—
737#124—84no—
738#123—28no—
739#123—48no—
740#123—48no—
741#123—48no—
742#123—48no—
743#123—44no—
744#123—44no—
745#123—44no—
746#123—84no—
747C22⋊Q8—216no—
748C22⋊Q8—44no—
749C22⋊Q8—44no—
750C22⋊Q8—48no—
751C22⋊Q8—48no—
752C22⋊Q8—84no—
753#121—44no—
754#121—48no—
755#121—44no—
756#121—48no—
757#121—48no—
758#121—48no—
759#121—48no—
760#121—48no—
761#121—48no—
762#121—48no—
763#121—44no—
764#121—44no—
765#121—48no—
766#121—84no—
767#121—84no—
768#121—84no—
769#121—84no—
770#120—28no—
771#120—44no—
772#120—44no—
773#120—48no—
774#120—48no—
775#120—48no—
776#120—44no—
777#120—48no—
778#120—48no—
779#120—84no—
780#120—84no—
781C4×D4—216no—
782C4×D4—48no—
783C4×D4—48no—
784C4×D4—48no—
785C4×D4—48no—
786C4×D4—48no—
787C4×D4—48no—
788C4×D4—48no—
789#117—44no—
790#117—44no—
791C2×C4⋊C4—44no—
792C2×C4⋊C4—42no—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2412yes—
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2412yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C22⋊C4—28no—
823C2×C22⋊C4—44no—
824C2×C22⋊C4—48no—
825C2×C22⋊C4—48no—
826C2×C22⋊C4—44no—
827C2×C22⋊C4—44no—
828C2×C22⋊C4—84no—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2412yes—
838C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
856C2×C22⋊C4C2412yes—
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⋊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×C42—44no—
890C2×C42—42no—
891C2×C42—42no—
892C2×C42C2414yes—
893C2×C42C2412yes—
894C2×C42C2412yes—
895C2×C42C2414yes—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2411yescharacteristic
900C2×C42C2411yescharacteristic
901C2×C42C2414yes—
902C2×C42C2412yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2412yes—
912#95C2412yes—
913#95C2412yes—
914#95C2412yes—
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—
943C24—22no—
944C24—24no—
945C24—24no—
946C24—28no—
947C24—24no—
948C24—24no—
949C24—28no—
950C24—24no—
951C24—42no—
952C24—44no—
953C24—42no—
954C24—41no—
955C24—41no—
956C24—44no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—44no—
961C24—42no—
962C24—44no—
963C24C2514yes—
964C24C2514yes—
965C24C2512yes—
966C24C2512yes—
967C24C2512yes—
968C24C2511yescharacteristic
969#41—432no—
970#41—432no—
971#41—432no—
972#41—432no—
973C2×Q8—24no—
974C2×Q8—24no—
975C2×Q8—22no—
976C2×Q8—41no—
977C2×Q8—42no—
978C2×Q8—41no—
979C2×Q8—41no—
980C2×Q8—41no—
981C2×Q8—42no—
982C2×Q8—42no—
983C2×Q8—42no—
984C2×Q8—44no—
985C2×Q8—42no—
986C2×Q8—416no—
987C2×Q8H(5,𝔽2)14yes—
988C2×D4—28no—
989C2×D4—24no—
990C2×D4—24no—
991C2×D4—24no—
992C2×D4—28no—
993C2×D4—28no—
994C2×D4—28no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—24no—
998C2×D4—24no—
999C2×D4—24no—
1000C2×D4—22no—
1001C2×D4—24no—
1002C2×D4—24no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—41no—
1009C2×D4—41no—
1010C2×D4—41no—
1011C2×D4—42no—
1012C2×D4—41no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—416no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—42no—
1030C2×D4—42no—
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—42no—
1042C2×D4—44no—
1043C2×D4—42no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—42no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—42no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—432no—
1069C2×D4—432no—
1070C2×D4—88no—
1071C2×D4—832no—
1072C2×D4—816no—
1073C2×D4H(5,𝔽2)14yes—
1074C22×C4—22no—
1075C22×C4—24no—
1076C22×C4—24no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—24no—
1080C22×C4—24no—
1081C22×C4—24no—
1082C22×C4—24no—
1083C22×C4—24no—
1084C22×C4—24no—
1085C22×C4—24no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—24no—
1089C22×C4—24no—
1090C22×C4—24no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—24no—
1095C22×C4—28no—
1096C22×C4—28no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—44no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—42no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—432no—
1128C22×C4—416no—
1129C22×C4—816no—
1130C22×C4H(5,𝔽2)14yes—
1131C22×C4C2514yes—
1132C22×C4C2514yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2514yes—
1136C22×C4C2514yes—
1137C22×C4C2514yes—
1138C22×C4C2512yes—
1139C22×C4C2512yes—
1140C22×C4C2514yes—
1141C22×C4C2514yes—
1142C22×C4C2512yes—
1143C22×C4C2514yes—
1144C22×C4C2512yes—
1145C22×C4C2511yescharacteristic
1146C22×C4C2511yescharacteristic
1147C22×C4C2512yes—
1148C4⋊C4—28no—
1149C4⋊C4—28no—
1150C4⋊C4—28no—
1151C4⋊C4—28no—
1152C4⋊C4—28no—
1153C4⋊C4—44no—
1154C4⋊C4—41no—
1155C4⋊C4—42no—
1156C4⋊C4—41no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—42no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—42no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—42no—
1170C4⋊C4—44no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—44no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C22⋊C4—28no—
1178C22⋊C4—24no—
1179C22⋊C4—24no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—28no—
1187C22⋊C4—28no—
1188C22⋊C4—28no—
1189C22⋊C4—28no—
1190C22⋊C4—28no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
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—44no—
1226C22⋊C4—44no—
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—
1237C42—28no—
1238C42—24no—
1239C42—24no—
1240C42—44no—
1241C42—41no—
1242C42—41no—
1243C42—42no—
1244C42—44no—
1245C42—44no—
1246C42—44no—
1247C42—44no—
1248C23—21no—
1249C23—21no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—24no—
1254C23—24no—
1255C23—24no—
1256C23—24no—
1257C23—24no—
1258C23—24no—
1259C23—24no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—24no—
1265C23—22no—
1266C23—22no—
1267C23—24no—
1268C23—24no—
1269C23—24no—
1270C23—24no—
1271C23—24no—
1272C23—24no—
1273C23—24no—
1274C23—24no—
1275C23—24no—
1276C23—24no—
1277C23—24no—
1278C23—24no—
1279C23—48no—
1280C23—416no—
1281C23—44no—
1282C23—44no—
1283C23—48no—
1284C23—48no—
1285C23—44no—
1286C23—48no—
1287C23—84no—
1288C23—84no—
1289C23—84no—
1290C23—88no—
1291C23—84no—
1292C23—88no—
1293C23—84no—
1294C23—84no—
1295C23—88no—
1296C23—88no—
1297C23—84no—
1298C23—88no—
1299C23C2×H(5,𝔽2)14yes—
1300C23C2×H(5,𝔽2)12yes—
1301C23#58514yes—
1302C23C2611yescharacteristic
1303Q8—44no—
1304Q8—48no—
1305Q8—44no—
1306Q8—162no—
1307Q8—162no—
1308D4—44no—
1309D4—48no—
1310D4—48no—
1311D4—48no—
1312D4—44no—
1313D4—48no—
1314D4—416no—
1315D4—48no—
1316D4—416no—
1317D4—84no—
1318D4—84no—
1319D4—88no—
1320D4—88no—
1321D4—88no—
1322D4—88no—
1323D4—88no—
1324D4—88no—
1325D4—88no—
1326D4—88no—
1327D4—88no—
1328D4—88no—
1329D4—164no—
1330D4—162no—
1331D4—164no—
1332D4—164no—
1333D4—162no—
1334D4—164no—
1335C2×C4—216no—
1336C2×C4—28no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—22no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—24no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—24no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—24no—
1357C2×C4—24no—
1358C2×C4—22no—
1359C2×C4—24no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—24no—
1364C2×C4—24no—
1365C2×C4—24no—
1366C2×C4—22no—
1367C2×C4—24no—
1368C2×C4—24no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—24no—
1376C2×C4—24no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—44no—
1383C2×C4—48no—
1384C2×C4—48no—
1385C2×C4—48no—
1386C2×C4—48no—
1387C2×C4—48no—
1388C2×C4—48no—
1389C2×C4—48no—
1390C2×C4—48no—
1391C2×C4—88no—
1392C2×C4—88no—
1393C2×C4—84no—
1394C2×C4—84no—
1395C2×C4—84no—
1396C2×C4—84no—
1397C2×C4—164no—
1398C2×C4—164no—
1399C2×C4C2×H(5,𝔽2)14yes—
1400C2×C4C2×H(5,𝔽2)12yes—
1401C2×C4C2×H(5,𝔽2)12yes—
1402C2×C4C2×H(5,𝔽2)14yes—
1403C22—22no—
1404C22—22no—
1405C22—24no—
1406C22—24no—
1407C22—24no—
1408C22—28no—
1409C22—42no—
1410C22—44no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—44no—
1415C22—44no—
1416C22—42no—
1417C22—44no—
1418C22—44no—
1419C22—42no—
1420C22—44no—
1421C22—44no—
1422C22—44no—
1423C22—44no—
1424C22—44no—
1425C22—44no—
1426C22—44no—
1427C22—44no—
1428C22—44no—
1429C22—44no—
1430C22—44no—
1431C22—44no—
1432C22—42no—
1433C22—44no—
1434C22—42no—
1435C22—44no—
1436C22—816no—
1437C22—88no—
1438C22—816no—
1439C22—168no—
1440C22#352914yes—
1441C22C22×H(5,𝔽2)11yescharacteristic
1442C22C22×H(5,𝔽2)11yescharacteristic
1443C22C22×H(5,𝔽2)11yescharacteristic
1444C22C2×#58512yes—
1445C22H(7,𝔽2)12yes—
1446C4—24no—
1447C4—24no—
1448C4—22no—
1449C4—22no—
1450C4—42no—
1451C4—44no—
1452C4—42no—
1453C4—42no—
1454C4—44no—
1455C4—44no—
1456C4—44no—
1457C4—44no—
1458C4—42no—
1459C4—42no—
1460C4—44no—
1461C4—44no—
1462C4—44no—
1463C2—24no—
1464C2—44no—
1465C2—82no—
1466C2—82no—
1467C2—84no—
1468C2—84no—
1469C2C2×#352911yescharacteristic
1470C2#6281711yescharacteristic
1471C2#6287411yescharacteristic
1472C2#6289612yes—
1473C2#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. #52337C2semidirect
2. #52333C2semidirect
3. #52329C2semidirect
4. #52325C2semidirect
5. #52316C2semidirect
6. #52315C2semidirect
7. #46349C2semidirect
8. #46324C2semidirect
9. #46199C2semidirect
10. #46089C2semidirect
11. #45976C2semidirect
12. #45741C2semidirect
13. #45738C2semidirect
14. #45730C2semidirect
15. #45452C2semidirect
16. #45449C2semidirect
17. #45441C2semidirect
18. #35395C2semidirect
19. #35371C2semidirect
20. #34996C2semidirect
21. #34990C2semidirect
22. #34736C2semidirect
23. C2×#2431C2semidirect
25. C2×#562C22semidirect
26. C2×#560C22semidirect
29. C22×#124C22semidirect
30. C2×#525C22semidirect
31. C2×#525C22semidirect
32. C22×#121C22semidirect
33. C22×C4×D4C22semidirect
34. #2852C22semidirect
35. #2852C22semidirect
36. #2851C22semidirect
38. #2850C22semidirect
39. #2849C22semidirect
40. #2847C22semidirect
41. #2833C22semidirect
42. #2832C22semidirect
43. #2830C22semidirect
44. #2829C22semidirect
45. #2829C22semidirect
46. #2828C22semidirect
47. #2828C22semidirect
48. #2828C22semidirect
49. #2826C22semidirect
50. #2825C22semidirect
51. #2825C22semidirect
52. #2824C22semidirect
53. #2820C22semidirect
54. #2819C22semidirect
55. #2819C22semidirect
56. #2818C22semidirect
57. #2818C22semidirect
58. #2815C22semidirect
59. #2815C22semidirect
60. #2813C22semidirect
61. #2813C22semidirect
62. #2813C22semidirect
63. #2812C22semidirect
64. #2804C22semidirect
65. #2799C22semidirect
66. #2797C22semidirect
67. #2775C22semidirect
68. #2759C22semidirect
69. #2758C22semidirect
70. #2753C22semidirect
71. #2749C22semidirect
72. #2733C22semidirect
73. #2730C22semidirect
74. #2730C22semidirect
75. #2728C22semidirect
76. #2727C22semidirect
77. #2724C22semidirect
78. #2723C22semidirect
79. #2714C22semidirect
80. #2710C22semidirect
81. #2710C22semidirect
82. #2709C22semidirect
83. #2709C22semidirect
84. #2707C22semidirect
85. #2706C22semidirect
86. #2702C22semidirect
87. #2700C22semidirect
88. #2698C22semidirect
89. #2696C22semidirect
90. #2688C22semidirect
91. #2686C22semidirect
92. #2683C22semidirect
93. #2682C22semidirect
94. #2679C22semidirect
95. #2678C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
98. #2676C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2672C22semidirect
104. #2671C22semidirect
105. #2670C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2669C22semidirect
110. #2636C22semidirect
111. #2635C22semidirect
112. #2631C22semidirect
113. #2630C22semidirect
114. #2626C22semidirect
115. #2622C22semidirect
118. #2583C22semidirect
119. #2578C22semidirect
120. #2578C22semidirect
121. #2576C22semidirect
122. #2576C22semidirect
123. #2572C22semidirect
124. #2559C22semidirect
125. #2559C22semidirect
126. #2559C22semidirect
127. #2557C22semidirect
128. #2555C22semidirect
129. #2555C22semidirect
130. #2553C22semidirect
131. #2523C22semidirect
132. #2518C22semidirect
133. #2518C22semidirect
134. #2517C22semidirect
135. #2510C22semidirect
136. #2505C22semidirect
137. #2481C22semidirect
138. #2480C22semidirect
139. #2477C22semidirect
140. #2476C22semidirect
142. #2472C22semidirect
143. #2471C22semidirect
144. #2470C22semidirect
145. #2467C22semidirect
146. #2467C22semidirect
147. #2466C22semidirect
148. #2464C22semidirect
149. #2464C22semidirect
150. #2460C22semidirect
151. #2459C22semidirect
152. #2459C22semidirect
153. #2457C22semidirect
154. #2457C22semidirect
155. #2456C22semidirect
156. #2456C22semidirect
157. #2450C22semidirect
159. #2443C22semidirect
160. #2437C22semidirect
161. #2437C22semidirect
162. #2435C22semidirect
166. #2431C22semidirect
167. #2431C22semidirect
168. #2431C22semidirect
169. #2431C22semidirect
170. #2428C22semidirect
171. #2428C22semidirect
172. #2427C22semidirect
174. #2424C22semidirect
175. #2420C22semidirect
176. #2418C22semidirect
177. #2412C22semidirect
181. #2410C22semidirect
182. #2410C22semidirect
183. #2409C22semidirect
185. #2407C22semidirect
186. #2407C22semidirect
187. #2406C22semidirect
188. #2406C22semidirect
190. #2405C22semidirect
191. #2405C22semidirect
192. #2404C22semidirect
193. #2404C22semidirect
195. #2403C22semidirect
196. #2403C22semidirect
197. #2388C22semidirect
198. #2388C22semidirect
199. C2×#392C22semidirect
200. #2380C22semidirect
201. #2379C22semidirect
202. #2378C22semidirect
203. #2376C22semidirect
204. #2375C22semidirect
205. #2329C22semidirect
207. #2321C22semidirect
208. #2318C22semidirect
210. C4×#120C22semidirect
211. #2297C22semidirect
212. #2297C22semidirect
213. C2×#391C22semidirect
215. C2×#386C22semidirect
216. #2280C22semidirect
217. #2273C22semidirect
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
#523372
#523332
#523292
#523252
#523162
#523152
#463492
#463242
#461992
#460892
#459762
#457412
#457382
#457302
#454522
#454492
#454412
#353952
#353712
#349962
#349902
#347362
C2×#24312