Finite Group Databasebeta

← #8757145

Subgroups — #8757145

Order 512.

5600 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58574C214yesmaximal, complemented
2#57499C214yesmaximal, complemented
3#55307C214yesmaximal, complemented
4#55057C214yesmaximal, complemented
5#54942C214yesmaximal, complemented
6#53483C214yesmaximal, complemented
7#51418C212yesmaximal, complemented
8#50313C214yesmaximal, complemented
9#49545C212yesmaximal, complemented
10#47942C214yesmaximal, complemented
11#47505C214yesmaximal, complemented
12#46430C212yesmaximal, complemented
13#46364C214yesmaximal, complemented
14#46355C212yesmaximal, complemented
15#46225C211yesmaximal, characteristic, complemented
16#46225C211yesmaximal, characteristic, complemented
17#46017C212yesmaximal, complemented
18#46017C212yesmaximal, complemented
19#45996C212yesmaximal, complemented
20#45996C212yesmaximal, complemented
21#45977C212yesmaximal, complemented
22#35329C211yesmaximal, characteristic, complemented
23#35136C212yesmaximal, complemented
24C2×H(3,𝔽4)C2211yescharacteristic, complemented
25C2×H(3,𝔽4)C2211yescharacteristic, complemented
26C2×H(3,𝔽4)C2212yescomplemented
27C2×#560C2212yescomplemented
28C2×D42C2212yescomplemented
29C2×#538C2212yescomplemented
30C2×#536C2211yescharacteristic, complemented
31C2×#536C2211yescharacteristic, complemented
32C2×#535C2211yescharacteristic, complemented
33C2×#535C2211yescharacteristic, complemented
34C2×#534C2212yescomplemented
35C2×#532C2211yescharacteristic, complemented
36C22×#124C2211yescharacteristic, complemented
37#2864C2212yescomplemented
38#2858C2212yescomplemented
39#2858C2212yescomplemented
40#2858C2212yescomplemented
41#2850C2212yescomplemented
42#2850C2212yescomplemented
43#2829C2214yescomplemented
44#2829C2214yescomplemented
45#2828C2214yescomplemented
46#2819C2212yescomplemented
47#2819C2212yescomplemented
48#2819C2212yescomplemented
49#2819C2212yescomplemented
50#2816C2212yescomplemented
51#2815C2212yescomplemented
52#2815C2214yescomplemented
53#2813C2214yescomplemented
54#2812C2214yescomplemented
55#2803C2214yescomplemented
56#2803C2214yescomplemented
57#2803C2214yescomplemented
58#2752C2214yescomplemented
59#2751C2214yescomplemented
60#2751C2214yescomplemented
61#2741C2214yescomplemented
62#2740C2214yescomplemented
63#2735C2214yescomplemented
64#2733C2214yescomplemented
65#2733C2214yescomplemented
66#2733C2214yescomplemented
67#2731C2212yescomplemented
68#2731C2212yescomplemented
69#2730C2214yescomplemented
70#2716C2214yescomplemented
71#2716C2214yescomplemented
72#2714C2214yescomplemented
73#2714C2214yescomplemented
74#2712C2214yescomplemented
75#2712C2214yescomplemented
76#2709C2212yescomplemented
77#2705C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2701C2214yescomplemented
81#2701C2214yescomplemented
82#2699C2214yescomplemented
83#2699C2214yescomplemented
84#2697C2212yescomplemented
85#2696C2214yescomplemented
86#2687C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2684C2214yescomplemented
90#2679C2214yescomplemented
91#2679C2214yescomplemented
92#2679C2212yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2676C2214yescomplemented
99#2676C2214yescomplemented
100#2676C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2670C2214yescomplemented
112#2670C2214yescomplemented
113#2670C2214yescomplemented
114#2670C2214yescomplemented
115#2670C2214yescomplemented
116#2669C2212yescomplemented
117#2669C2214yescomplemented
118#2669C2214yescomplemented
119#2669C2214yescomplemented
120#2669C2214yescomplemented
121#2669C2214yescomplemented
122#2669C2214yescomplemented
123#2669C2212yescomplemented
124#2669C2212yescomplemented
125#2668C2214yescomplemented
126#2668C2214yescomplemented
127#2661C2214yescomplemented
128#2661C2214yescomplemented
129#2658C2212yescomplemented
130#2657C2212yescomplemented
131#2651C2214yescomplemented
132#2651C2214yescomplemented
133#2648C2214yescomplemented
134#2635C2214yescomplemented
135#2613C2214yescomplemented
136#2613C2214yescomplemented
137#2602C2214yescomplemented
138#2602C2214yescomplemented
139#2596C2214yescomplemented
140#2561C2212yescomplemented
141#2560C2214yescomplemented
142#2559C2214yescomplemented
143#2559C2214yescomplemented
144#2557C2214yescomplemented
145#2557C2214yescomplemented
146#2554C2214yescomplemented
147#2548C2214yescomplemented
148#2548C2214yescomplemented
149#2540C2214yescomplemented
150#2540C2214yescomplemented
151#2539C2214yescomplemented
152#2539C2214yescomplemented
153#2539C2212yescomplemented
154#2531C2214yescomplemented
155#2526C2214yescomplemented
156#2516C2214yescomplemented
157#2491C2214yescomplemented
158#2491C2214yescomplemented
159#2491C2214yescomplemented
160#2491C2214yescomplemented
161#2476C2214yescomplemented
162#2472C2214yescomplemented
163#2472C2214yescomplemented
164#2472C2214yescomplemented
165#2471C2214yescomplemented
166#2467C2214yescomplemented
167#2464C2214yescomplemented
168#2459C2214yescomplemented
169#2459C2214yescomplemented
170#2459C2214yescomplemented
171#2459C2214yescomplemented
172#2458C2214yescomplemented
173#2458C2214yescomplemented
174#2457C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2448C2212yescomplemented
178#2447C2212yescomplemented
179#2446C2212yescomplemented
180#2445C2212yescomplemented
181#2436C2214yescomplemented
182#2433C2214yescomplemented
183#2433C2214yescomplemented
184#2433C2214yescomplemented
185#2433C2214yescomplemented
186#2433C2214yescomplemented
187#2431C2212yescomplemented
188#2431C2212yescomplemented
189#2429C2212yescomplemented
190#2428C2212yes—
191#2428C2214yescomplemented
192#2427C2212yescomplemented
193#2426C2212yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2410C2214yescomplemented
197#2410C2214yescomplemented
198#2410C2214yescomplemented
199#2408C2214yescomplemented
200#2408C2214yescomplemented
201#2408C2214yescomplemented
202#2404C2212yescomplemented
203#2404C2212yescomplemented
204#2403C2214yescomplemented
205#2403C2214yescomplemented
206#2403C2214yescomplemented
207#2379C2211yescharacteristic, complemented
208#2379C2211yescharacteristic, complemented
209#2379C2212yescomplemented
210#2375C2212yescomplemented
211#2374C2212yescomplemented
212#2335C2214yescomplemented
213#2333C2212yescomplemented
214#2333C2214yescomplemented
215#2332C2212yescomplemented
216C4×#124C2212yescomplemented
217C4×#124C2212yescomplemented
218C4×#117C2211yescharacteristic, complemented
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2314yes—
224C23×D4C2314yes—
225C23×D4C2314yes—
226H(3,𝔽4)—48no—
227H(3,𝔽4)—44no—
228H(3,𝔽4)—44no—
229#560—48no—
230D42—48no—
231#538—48no—
232#536—44no—
233#536—44no—
234#535—44no—
235#535—44no—
236#534—48no—
237#532—44no—
238C2×C4⋊Q8C2312yes—
239C2×C4⋊Q8C2312yes—
240C2×C4⋊Q8C2311yescharacteristic
241C2×C4⋊Q8C2312yes—
242C2×#127C2312yes—
243C2×#127C2312yes—
244C2×#127C2311yescharacteristic
245C2×#127C2312yes—
246C2×#127C2312yes—
247C2×#127C2312yes—
248C2×#127C2314yes—
249C2×#127C2314yes—
250C2×#126C2314yes—
251C2×#126C2314yes—
252C2×#124—44no—
253C2×#124C2312yes—
254C2×#124C2312yes—
255C2×#124C2312yes—
256C2×#124C2311yescharacteristic
257C2×#124C2311yescharacteristic
258C2×#124C2312yes—
259C2×#124C2312yes—
260C2×#124C2312yes—
261C2×#124C2312yes—
262C2×#124C2312yes—
263C2×#124C2314yes—
264C2×#124C2314yes—
265C2×#124C2312yes—
266C2×#124C2312yes—
267C2×#124C2314yes—
268C2×#124C2314yes—
269C2×#124C2314yes—
270C2×#124C2314yes—
271C2×#124C2314yes—
272C2×#124C2312yes—
273C2×#124C2312yes—
274C2×#123C2314yes—
275C2×#123C2312yes—
276C2×#123C2314yes—
277C2×#123C2314yes—
278C2×#123C2312yes—
279C2×#123C2314yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×C22⋊Q8C2312yes—
283C2×C22⋊Q8C2314yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2312yes—
286C2×C22⋊Q8C2312yes—
287C2×#121C2314yes—
288C2×#121C2312yes—
289C2×#121C2312yes—
290C2×#121C2314yes—
291C2×#121C2314yes—
292C2×#121C2314yes—
293C2×#121C2314yes—
294C2×#121C2312yes—
295C2×#121C2314yes—
296C2×#121C2314yes—
297C2×#121C2314yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2314yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#120C2312yes—
308C2×#120C2312yes—
309C2×#120C2312yes—
310C2×#120C2314yes—
311C2×#120C2314yes—
312C2×#120C2314yes—
313C2×#120C2314yes—
314C2×#120C2314yes—
315C2×#120C2312yes—
316C2×#120C2312yes—
317C2×#120C2312yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×#120C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C22×C22⋊C4C2312yes—
342C22×C22⋊C4C2312yes—
343C22×C22⋊C4C2314yes—
344C22×C42C2311yescharacteristic
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#399C2314yes—
349#399C2314yes—
350#399C2314yes—
351#399C2314yes—
352#399C2314yes—
353#398C2314yes—
354#398C2314yes—
355#398C2314yes—
356#398C2314yes—
357#397C2314yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#397C2314yes—
363#397C2314yes—
364#397C2314yes—
365#397C2314yes—
366#397C2314yes—
367#397C2314yes—
368#397C2314yes—
369#396C2314yes—
370#396C2314yes—
371#396C2314yes—
372#396C2314yes—
373#396C2314yes—
374#396C2314yes—
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#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#393C2314yes—
417#393C2314yes—
418#393C2314yes—
419#393C2314yes—
420#393C2314yes—
421#393C2314yes—
422#393C2314yes—
423#393C2314yes—
424#393C2314yes—
425#393C2314yes—
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#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#391C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2312yes—
472#391C2312yes—
473#390C2314yes—
474#390C2314yes—
475#390C2314yes—
476#390C2314yes—
477#390C2314yes—
478#390C2314yes—
479#390C2314yes—
480#390C2312yes—
481#390C2312yes—
482#390C2314yes—
483#390C2314yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2314yes—
492#390C2312yes—
493#390C2314yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
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#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2312yes—
571#386C2312yes—
572#386C2314yes—
573#386C2312yes—
574#386C2312yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#382C2312yes—
594#382C2312yes—
595#381C2312yes—
596#381C2314yes—
597#381C2314yes—
598#381C2312yes—
599#381C2314yes—
600#380C2314yes—
601#380C2314yes—
602#380C2314yes—
603#379C2314yes—
604#379C2314yes—
605#379C2314yes—
606#379C2314yes—
607#379C2314yes—
608#379C2314yes—
609#379C2314yes—
610C4×C4⋊C4C2314yes—
611C4×C4⋊C4C2314yes—
612C4×C4⋊C4C2312yes—
613C4×C4⋊C4C2312yes—
614C4×C22⋊C4C2312yes—
615C4×C22⋊C4C2312yes—
616C4×C22⋊C4C2312yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2314yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2314yes—
621C4×C22⋊C4C2314yes—
622C4×C22⋊C4C2312yes—
623C4×C22⋊C4C2314yes—
624C4×C22⋊C4C2314yes—
625#376C2312yes—
626C43C2312yes—
627C25C2412yes—
628C25C2412yes—
629C25C2412yes—
630C25C2414yes—
631C2×#41—42no—
632C2×#41—42no—
633C2×#41—42no—
634C2×#41—42no—
635C2×#41—42no—
636C2×#41—42no—
637C22×Q8—42no—
638C22×Q8—42no—
639C22×Q8—42no—
640C22×Q8C2412yes—
641C22×Q8C2412yes—
642C22×Q8C2412yes—
643C22×Q8C2412yes—
644C22×Q8C2411yescharacteristic
645C22×Q8C2411yescharacteristic
646C22×D4—42no—
647C22×D4—48no—
648C22×D4—42no—
649C22×D4—48no—
650C22×D4—42no—
651C22×D4—48no—
652C22×D4—84no—
653C22×D4—84no—
654C22×D4—84no—
655C22×D4—84no—
656C22×D4—84no—
657C22×D4—84no—
658C22×D4C2412yes—
659C22×D4C2412yes—
660C22×D4C2412yes—
661C22×D4C2412yes—
662C22×D4C2412yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2412yes—
668C22×D4C2411yescharacteristic
669C22×D4C2411yescharacteristic
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2412yes—
677C22×D4C2412yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2414yes—
689C22×D4C2414yes—
690C23×C4C2411yescharacteristic
691C23×C4C2412yes—
692C23×C4C2412yes—
693C23×C4C2412yes—
694C23×C4C2412yes—
695C23×C4C2414yes—
696C23×C4C2414yes—
697C23×C4C2412yes—
698C23×C4C2412yes—
699C23×C4C2414yes—
700C4⋊Q8—44no—
701C4⋊Q8—44no—
702C4⋊Q8—42no—
703C4⋊Q8—82no—
704#127—42no—
705#127—44no—
706#127—44no—
707#127—44no—
708#127—44no—
709#127—84no—
710#127—84no—
711#127—82no—
712#126—48no—
713#126—48no—
714#124—28no—
715#124—24no—
716#124—24no—
717#124—28no—
718#124—28no—
719#124—48no—
720#124—44no—
721#124—44no—
722#124—44no—
723#124—44no—
724#124—44no—
725#124—48no—
726#124—48no—
727#124—48no—
728#124—48no—
729#124—48no—
730#124—48no—
731#124—44no—
732#124—44no—
733#124—82no—
734#124—82no—
735#123—216no—
736#123—28no—
737#123—48no—
738#123—48no—
739#123—48no—
740#123—44no—
741#123—84no—
742#123—84no—
743C22⋊Q8—28no—
744C22⋊Q8—48no—
745C22⋊Q8—44no—
746C22⋊Q8—82no—
747C22⋊Q8—82no—
748#121—28no—
749#121—216no—
750#121—48no—
751#121—44no—
752#121—44no—
753#121—48no—
754#121—48no—
755#121—48no—
756#121—44no—
757#121—48no—
758#121—48no—
759#121—48no—
760#121—84no—
761#121—84no—
762#121—82no—
763#121—82no—
764#121—84no—
765#121—84no—
766#121—84no—
767#121—84no—
768#120—28no—
769#120—48no—
770#120—48no—
771#120—48no—
772#120—48no—
773#120—48no—
774#120—48no—
775#120—48no—
776#120—48no—
777#120—48no—
778#120—48no—
779#120—48no—
780#120—44no—
781#120—44no—
782#120—44no—
783#120—44no—
784#120—44no—
785#120—84no—
786#120—84no—
787#120—84no—
788#120—84no—
789#120—84no—
790#120—84no—
791#120—84no—
792#120—84no—
793C4×Q8—82no—
794C4×Q8—82no—
795C4×D4—48no—
796C4×D4—48no—
797C4×D4—48no—
798C4×D4—82no—
799C4×D4—82no—
800#117—24no—
801#117—24no—
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2412yes—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2411yescharacteristic
827C2×C22⋊C4—48no—
828C2×C22⋊C4—44no—
829C2×C22⋊C4—44no—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2412yes—
835C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2412yes—
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⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
899C2×C42—24no—
900C2×C42C2412yes—
901C2×C42C2412yes—
902C2×C42C2412yes—
903C2×C42C2411yescharacteristic
904C2×C42C2412yes—
905C2×C42C2412yes—
906C2×C42C2412yes—
907C2×C42C2414yes—
908C2×C42C2414yes—
909C2×C42C2414yes—
910C2×C42C2412yes—
911C2×C42C2412yes—
912C2×C42C2414yes—
913C2×C42C2412yes—
914C2×C42C2412yes—
915C2×C42C2412yes—
916C2×C42C2411yescharacteristic
917#95C2412yes—
918#95C2412yes—
919#95C2412yes—
920#95C2412yes—
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—
948#95C2414yes—
949C24—24no—
950C24—42no—
951C24—44no—
952C24—42no—
953C24—44no—
954C24—42no—
955C24—44no—
956C24—44no—
957C24—44no—
958C24—44no—
959C24—44no—
960C24—42no—
961C24—42no—
962C24—44no—
963C24—44no—
964C24—44no—
965C24—44no—
966C24—42no—
967C24—44no—
968C24—42no—
969C24—42no—
970C24—44no—
971C24C2514yes—
972C24C2514yes—
973C24C2514yes—
974C24C2512yes—
975C24C2512yes—
976C24C2511yescharacteristic
977#41—88no—
978#41—88no—
979C2×Q8—24no—
980C2×Q8—24no—
981C2×Q8—24no—
982C2×Q8—24no—
983C2×Q8—22no—
984C2×Q8—22no—
985C2×Q8—42no—
986C2×Q8—42no—
987C2×Q8—42no—
988C2×Q8—42no—
989C2×Q8—42no—
990C2×Q8—42no—
991C2×Q8—41no—
992C2×Q8—41no—
993C2×Q8—42no—
994C2×Q8—42no—
995C2×Q8—41no—
996C2×Q8—41no—
997C2×Q8—88no—
998C2×D4—24no—
999C2×D4—28no—
1000C2×D4—28no—
1001C2×D4—24no—
1002C2×D4—28no—
1003C2×D4—24no—
1004C2×D4—24no—
1005C2×D4—28no—
1006C2×D4—24no—
1007C2×D4—28no—
1008C2×D4—24no—
1009C2×D4—22no—
1010C2×D4—22no—
1011C2×D4—28no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
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—44no—
1030C2×D4—44no—
1031C2×D4—42no—
1032C2×D4—44no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—44no—
1036C2×D4—42no—
1037C2×D4—42no—
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—42no—
1047C2×D4—42no—
1048C2×D4—41no—
1049C2×D4—41no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—42no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—88no—
1095C2×D4—832no—
1096C2×D4—832no—
1097C2×D4—832no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—24no—
1102C22×C4—24no—
1103C22×C4—24no—
1104C22×C4—24no—
1105C22×C4—28no—
1106C22×C4—28no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—44no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4C2514yes—
1127C22×C4C2514yes—
1128C22×C4C2514yes—
1129C22×C4C2514yes—
1130C22×C4C2514yes—
1131C22×C4C2512yes—
1132C22×C4C2514yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2514yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2511yescharacteristic
1139C22×C4C2511yescharacteristic
1140C22×C4C2512yes—
1141C22×C4C2512yes—
1142C22×C4C2512yes—
1143C4⋊C4—24no—
1144C4⋊C4—22no—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—44no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—42no—
1157C4⋊C4—44no—
1158C4⋊C4—42no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4H(5,𝔽2)14yes—
1168C22⋊C4—22no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—24no—
1174C22⋊C4—28no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—42no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—42no—
1201C22⋊C4—44no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
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—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⋊C4H(5,𝔽2)14yes—
1237C42—24no—
1238C42—22no—
1239C42—24no—
1240C42—24no—
1241C42—42no—
1242C42—44no—
1243C42—42no—
1244C42—42no—
1245C42—44no—
1246C42—44no—
1247C42—44no—
1248C42—42no—
1249C42—42no—
1250C42—42no—
1251C42—42no—
1252C42—42no—
1253C42H(5,𝔽2)14yes—
1254C23—21no—
1255C23—21no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—24no—
1260C23—22no—
1261C23—24no—
1262C23—24no—
1263C23—24no—
1264C23—22no—
1265C23—22no—
1266C23—24no—
1267C23—24no—
1268C23—24no—
1269C23—24no—
1270C23—24no—
1271C23—22no—
1272C23—22no—
1273C23—24no—
1274C23—24no—
1275C23—24no—
1276C23—24no—
1277C23—24no—
1278C23—24no—
1279C23—24no—
1280C23—24no—
1281C23—24no—
1282C23—24no—
1283C23—24no—
1284C23—24no—
1285C23—24no—
1286C23—24no—
1287C23—24no—
1288C23—24no—
1289C23—48no—
1290C23—88no—
1291C23—84no—
1292C23—88no—
1293C23—88no—
1294C23—88no—
1295C23—88no—
1296C23—88no—
1297C23—84no—
1298C23—162no—
1299C23—162no—
1300C23—162no—
1301C23—164no—
1302C23—162no—
1303C23—164no—
1304C23—162no—
1305C23—162no—
1306C23—164no—
1307C23—164no—
1308C23—164no—
1309C23—164no—
1310C23—164no—
1311C23C2×H(5,𝔽2)12yes—
1312C23C2611yescharacteristic
1313Q8—84no—
1314Q8—84no—
1315Q8—84no—
1316Q8—84no—
1317Q8—82no—
1318Q8—82no—
1319D4—416no—
1320D4—84no—
1321D4—84no—
1322D4—88no—
1323D4—88no—
1324D4—88no—
1325D4—88no—
1326D4—84no—
1327D4—84no—
1328D4—82no—
1329D4—82no—
1330D4—88no—
1331D4—88no—
1332D4—84no—
1333D4—84no—
1334D4—88no—
1335D4—88no—
1336D4—88no—
1337D4—88no—
1338D4—88no—
1339D4—88no—
1340D4—164no—
1341D4—164no—
1342D4—164no—
1343D4—164no—
1344D4—162no—
1345D4—162no—
1346D4—164no—
1347D4—164no—
1348D4—164no—
1349D4—164no—
1350D4—164no—
1351C2×C4—28no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—24no—
1366C2×C4—24no—
1367C2×C4—22no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—24no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—24no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—84no—
1399C2×C4—88no—
1400C2×C4—88no—
1401C2×C4—84no—
1402C2×C4—84no—
1403C2×C4—84no—
1404C2×C4—88no—
1405C2×C4—162no—
1406C2×C4—162no—
1407C2×C4C2×H(5,𝔽2)14yes—
1408C2×C4C2×H(5,𝔽2)12yes—
1409C2×C4C2×H(5,𝔽2)14yes—
1410C2×C4C2×H(5,𝔽2)14yes—
1411C2×C4C2×H(5,𝔽2)12yes—
1412C22—24no—
1413C22—22no—
1414C22—41no—
1415C22—41no—
1416C22—42no—
1417C22—44no—
1418C22—44no—
1419C22—44no—
1420C22—42no—
1421C22—44no—
1422C22—44no—
1423C22—42no—
1424C22—44no—
1425C22—44no—
1426C22—44no—
1427C22—44no—
1428C22—44no—
1429C22—44no—
1430C22—42no—
1431C22—42no—
1432C22—44no—
1433C22—44no—
1434C22—44no—
1435C22—42no—
1436C22—42no—
1437C22—44no—
1438C22—44no—
1439C22—44no—
1440C22—44no—
1441C22—44no—
1442C22—44no—
1443C22—44no—
1444C22—44no—
1445C22—44no—
1446C22—44no—
1447C22—44no—
1448C22—168no—
1449C22—168no—
1450C22—168no—
1451C22—1616no—
1452C22C22×H(5,𝔽2)11yescharacteristic
1453C22C22×H(5,𝔽2)11yescharacteristic
1454C22C22×H(5,𝔽2)11yescharacteristic
1455C22H(7,𝔽2)12yes—
1456C22H(7,𝔽2)12yes—
1457C4—24no—
1458C4—24no—
1459C4—22no—
1460C4—22no—
1461C4—24no—
1462C4—44no—
1463C4—44no—
1464C4—44no—
1465C4—42no—
1466C4—44no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—44no—
1471C4—42no—
1472C4—44no—
1473C4—44no—
1474C2—42no—
1475C2—82no—
1476C2—82no—
1477C2—84no—
1478C2—84no—
1479C2—84no—
1480C2#6283211yescharacteristic
1481C2#6288012yes—
1482C2#6304511yescharacteristic
1483C2#6304512yes—
1484C2#6306611yescharacteristic
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. #58574C2semidirect
2. #57499C2semidirect
3. #55307C2semidirect
4. #55057C2semidirect
5. #54942C2semidirect
6. #53483C2semidirect
7. #51418C2semidirect
8. #50313C2semidirect
9. #49545C2semidirect
10. #47942C2semidirect
11. #47505C2semidirect
12. #46430C2semidirect
13. #46364C2semidirect
14. #46355C2semidirect
15. #46225C2semidirect
16. #46225C2semidirect
17. #46017C2semidirect
18. #46017C2semidirect
19. #45996C2semidirect
20. #45996C2semidirect
21. #45977C2semidirect
22. #35329C2semidirect
23. #35136C2semidirect
24. C2×H(3,𝔽4)C22semidirect
25. C2×H(3,𝔽4)C22semidirect
26. C2×H(3,𝔽4)C22semidirect
27. C2×#560C22semidirect
28. C2×D42C22semidirect
29. C2×#538C22semidirect
30. C2×#536C22semidirect
31. C2×#536C22semidirect
32. C2×#535C22semidirect
33. C2×#535C22semidirect
34. C2×#534C22semidirect
35. C2×#532C22semidirect
36. C22×#124C22semidirect
37. #2864C22semidirect
38. #2858C22semidirect
39. #2858C22semidirect
40. #2858C22semidirect
41. #2850C22semidirect
42. #2850C22semidirect
43. #2829C22semidirect
44. #2829C22semidirect
45. #2828C22semidirect
46. #2819C22semidirect
47. #2819C22semidirect
48. #2819C22semidirect
49. #2819C22semidirect
50. #2816C22semidirect
51. #2815C22semidirect
52. #2815C22semidirect
53. #2813C22semidirect
54. #2812C22semidirect
55. #2803C22semidirect
56. #2803C22semidirect
57. #2803C22semidirect
58. #2752C22semidirect
59. #2751C22semidirect
60. #2751C22semidirect
61. #2741C22semidirect
62. #2740C22semidirect
63. #2735C22semidirect
64. #2733C22semidirect
65. #2733C22semidirect
66. #2733C22semidirect
67. #2731C22semidirect
68. #2731C22semidirect
69. #2730C22semidirect
70. #2716C22semidirect
71. #2716C22semidirect
72. #2714C22semidirect
73. #2714C22semidirect
74. #2712C22semidirect
75. #2712C22semidirect
76. #2709C22semidirect
77. #2705C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2701C22semidirect
81. #2701C22semidirect
82. #2699C22semidirect
83. #2699C22semidirect
84. #2697C22semidirect
85. #2696C22semidirect
86. #2687C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2684C22semidirect
90. #2679C22semidirect
91. #2679C22semidirect
92. #2679C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2676C22semidirect
99. #2676C22semidirect
100. #2676C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2670C22semidirect
112. #2670C22semidirect
113. #2670C22semidirect
114. #2670C22semidirect
115. #2670C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2669C22semidirect
122. #2669C22semidirect
123. #2669C22semidirect
124. #2669C22semidirect
125. #2668C22semidirect
126. #2668C22semidirect
127. #2661C22semidirect
128. #2661C22semidirect
129. #2658C22semidirect
130. #2657C22semidirect
131. #2651C22semidirect
132. #2651C22semidirect
133. #2648C22semidirect
134. #2635C22semidirect
135. #2613C22semidirect
136. #2613C22semidirect
137. #2602C22semidirect
138. #2602C22semidirect
139. #2596C22semidirect
140. #2561C22semidirect
141. #2560C22semidirect
142. #2559C22semidirect
143. #2559C22semidirect
144. #2557C22semidirect
145. #2557C22semidirect
146. #2554C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
149. #2540C22semidirect
150. #2540C22semidirect
151. #2539C22semidirect
152. #2539C22semidirect
153. #2539C22semidirect
154. #2531C22semidirect
155. #2526C22semidirect
156. #2516C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2476C22semidirect
162. #2472C22semidirect
163. #2472C22semidirect
164. #2472C22semidirect
165. #2471C22semidirect
166. #2467C22semidirect
167. #2464C22semidirect
168. #2459C22semidirect
169. #2459C22semidirect
170. #2459C22semidirect
171. #2459C22semidirect
172. #2458C22semidirect
173. #2458C22semidirect
174. #2457C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2448C22semidirect
178. #2447C22semidirect
179. #2446C22semidirect
180. #2445C22semidirect
181. #2436C22semidirect
182. #2433C22semidirect
183. #2433C22semidirect
184. #2433C22semidirect
185. #2433C22semidirect
186. #2433C22semidirect
187. #2431C22semidirect
188. #2431C22semidirect
189. #2429C22semidirect
191. #2428C22semidirect
192. #2427C22semidirect
193. #2426C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2410C22semidirect
197. #2410C22semidirect
198. #2410C22semidirect
199. #2408C22semidirect
200. #2408C22semidirect
201. #2408C22semidirect
202. #2404C22semidirect
203. #2404C22semidirect
204. #2403C22semidirect
205. #2403C22semidirect
206. #2403C22semidirect
207. #2379C22semidirect
208. #2379C22semidirect
209. #2379C22semidirect
210. #2375C22semidirect
211. #2374C22semidirect
212. #2335C22semidirect
213. #2333C22semidirect
214. #2333C22semidirect
215. #2332C22semidirect
216. C4×#124C22semidirect
217. C4×#124C22semidirect
218. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#585742
#574992
#553072
#550572
#549422
#534832
#514182
#503132
#495452
#479422
#475052
#464302
#463642
#463552
#462252
#460172
#459962
#459772
#353292
#351362