Finite Group Databasebeta

← #7764064

Subgroups — #7764064

Order 512.

5216 conjugacy classes of subgroups.

The subgroup lattice has 1579 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59483C212yesmaximal, complemented
2#59078C212yesmaximal, complemented
3#59061C212yesmaximal, complemented
4#59046C212yesmaximal, complemented
5#49927C214yesmaximal, complemented
6#48705C214yesmaximal, complemented
7#47649C214yesmaximal, complemented
8#47136C214yesmaximal, complemented
9#46063C212yesmaximal, complemented
10#45689C212yesmaximal, complemented
11#43649C214yesmaximal, complemented
12#40846C214yesmaximal, complemented
13#40105C212yesmaximal, complemented
14#39865C212yesmaximal, complemented
15#39550C212yesmaximal, complemented
16#39486C211yesmaximal, characteristic, complemented
17#39383C211yesmaximal, characteristic, complemented
18#39380C212yesmaximal, complemented
19#39215C212yesmaximal, complemented
20#39202C212yesmaximal, complemented
21#36759C212yesmaximal, complemented
22#36576C211yesmaximal, characteristic, complemented
23#36545C211yesmaximal, characteristic, complemented
24#36292C212yesmaximal, complemented
25#36124C212yesmaximal, complemented
26#35103C211yesmaximal, characteristic, complemented
27C2×#2448C211yesmaximal, characteristic, complemented
28#34424C212yesmaximal, complemented
29C4×#539C211yesmaximal, characteristic, complemented
30C2×#557C2211yescharacteristic, complemented
31C2×#550C2211yescharacteristic, complemented
32C2×#548C2212yes—
33C2×#546C2212yes—
34C2×#539C2211yescharacteristic
35C2×#538C2212yes—
36C2×#532C2212yes—
37C2×#529C2212yes—
38C22×#124C2211yescharacteristic
39C22×C4×Q8C2211yescharacteristic
40#2863C2212yescomplemented
41#2858C2212yes—
42#2857C2211yescharacteristic
43#2856C2211yescharacteristic
44#2856C2212yes—
45#2854C2212yescomplemented
46#2851C2212yes—
47#2850C2212yes—
48#2850C2212yes—
49#2837C2214yescomplemented
50#2829C2214yescomplemented
51#2803C2214yescomplemented
52#2800C2214yescomplemented
53#2797C2214yescomplemented
54#2797C2214yescomplemented
55#2797C2214yescomplemented
56#2793C2214yescomplemented
57#2787C2214yescomplemented
58#2783C2214yescomplemented
59#2780C2214yescomplemented
60#2779C2214yescomplemented
61#2773C2214yescomplemented
62#2761C2214yescomplemented
63#2757C2214yescomplemented
64#2757C2214yescomplemented
65#2756C2214yescomplemented
66#2753C2214yescomplemented
67#2752C2214yescomplemented
68#2752C2214yescomplemented
69#2748C2214yescomplemented
70#2740C2214yescomplemented
71#2733C2212yes—
72#2730C2214yescomplemented
73#2724C2212yes—
74#2721C2214yescomplemented
75#2715C2214yescomplemented
76#2714C2214yes—
77#2714C2214yes—
78#2711C2214yescomplemented
79#2711C2214yescomplemented
80#2708C2214yescomplemented
81#2706C2214yescomplemented
82#2705C2214yes—
83#2705C2214yescomplemented
84#2701C2214yes—
85#2701C2214yescomplemented
86#2698C2214yescomplemented
87#2688C2214yescomplemented
88#2682C2212yes—
89#2682C2212yes—
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2671C2214yescomplemented
93#2667C2214yescomplemented
94#2651C2214yescomplemented
95#2635C2214yescomplemented
96#2624C2214yescomplemented
97#2618C2212yes—
98#2618C2212yes—
99#2617C2212yes—
100#2617C2212yes—
101#2602C2214yescomplemented
102#2601C2214yescomplemented
103#2601C2214yescomplemented
104#2600C2214yescomplemented
105#2594C2214yescomplemented
106#2584C2212yescomplemented
107#2582C2211yescharacteristic, complemented
108#2581C2212yescomplemented
109#2577C2214yescomplemented
110#2576C2214yescomplemented
111#2576C2214yescomplemented
112#2573C2214yescomplemented
113#2566C2212yescomplemented
114#2565C2212yescomplemented
115#2555C2214yes—
116#2555C2214yes—
117#2554C2214yescomplemented
118#2554C2214yescomplemented
119#2548C2212yes—
120#2548C2212yes—
121#2548C2212yescomplemented
122#2548C2211yescharacteristic, complemented
123#2547C2212yescomplemented
124#2546C2211yescharacteristic, complemented
125#2545C2212yes—
126#2545C2212yescomplemented
127#2544C2212yes—
128#2544C2212yescomplemented
129#2543C2214yescomplemented
130#2541C2212yes—
131#2539C2214yes—
132#2538C2212yescomplemented
133#2538C2211yescharacteristic, complemented
134#2522C2214yescomplemented
135#2518C2214yescomplemented
136#2512C2212yes—
137#2510C2214yes—
138#2510C2214yescomplemented
139#2508C2212yescomplemented
140#2494C2212yescomplemented
141#2490C2212yes—
142#2490C2214yescomplemented
143#2490C2214yescomplemented
144#2489C2212yescomplemented
145#2474C2214yescomplemented
146#2473C2214yes—
147#2471C2214yes—
148#2471C2214yescomplemented
149#2470C2214yescomplemented
150#2462C2214yescomplemented
151#2461C2214yes—
152#2461C2214yes—
153#2460C2214yescomplemented
154#2460C2214yescomplemented
155#2454C2212yes—
156#2454C2214yescomplemented
157#2453C2212yescomplemented
158#2448C2214yes—
159#2448C2214yes—
160#2448C2212yes—
161#2448C2212yes—
162#2448C2212yes—
163#2448C2212yes—
164#2448C2212yes—
165#2448C2212yescomplemented
166#2447C2212yes—
167#2447C2212yescomplemented
168#2446C2212yescomplemented
169#2445C2212yes—
170#2444C2214yes—
171#2443C2214yes—
172#2438C2214yescomplemented
173#2434C2212yes—
174#2433C2212yes—
175#2432C2212yes—
176#2432C2212yes—
177#2432C2212yescomplemented
178#2431C2212yes—
179#2431C2212yes—
180#2429C2212yescomplemented
181#2428C2212yes—
182#2427C2212yescomplemented
183#2426C2214yescomplemented
184#2426C2214yescomplemented
185#2426C2212yescomplemented
186#2425C2214yes—
187#2424C2214yes—
188#2424C2214yes—
189#2424C2214yes—
190#2424C2214yes—
191#2422C2212yes—
192#2420C2214yescomplemented
193#2419C2214yes—
194#2417C2212yes—
195#2416C2214yes—
196#2416C2212yes—
197#2414C2214yes—
198#2412C2214yes—
199#2412C2214yes—
200#2407C2212yes—
201C2×#399C2212yes—
202C2×#397C2212yes—
203#2379C2214yescomplemented
204#2376C2214yescomplemented
205#2367C2214yescomplemented
206#2366C2212yes—
207#2365C2212yescomplemented
208#2365C2212yescomplemented
209#2364C2214yes—
210#2361C2212yes—
211#2360C2212yes—
212#2359C2214yescomplemented
213#2358C2214yes—
214#2358C2214yes—
215#2358C2214yes—
216#2355C2211yescharacteristic, complemented
217#2352C2214yes—
218Q8×C4⋊C4C2211yescharacteristic, complemented
219#2349C2214yes—
220#2341C2212yes—
221#2341C2212yescomplemented
222#2339C2212yescomplemented
223#2336C2212yescomplemented
224#2335C2212yescomplemented
225#2334C2212yescomplemented
226#2334C2214yescomplemented
227#2334C2214yescomplemented
228#2332C2212yescomplemented
229#2329C2211yescharacteristic
230#2325C2212yes—
231#2325C2212yes—
232#2325C2211yescharacteristic
233#2325C2214yescomplemented
234#2324C2214yescomplemented
235#2322C2212yes—
236#2318C2212yes—
237#2315C2212yes—
238#2313C2211yescharacteristic
239C4×#125C2212yescomplemented
240C4×#126C2212yescomplemented
241C4×#124C2212yes—
242C4×C22⋊Q8C2211yescharacteristic
243C4×C22⋊Q8C2212yes—
244C4×C22⋊Q8C2212yescomplemented
245C4×C22⋊Q8C2212yescomplemented
246C4×#123C2212yes—
247C4×#123C2212yescomplemented
248C4×#121C2211yescharacteristic
249C4×#121C2212yes—
250C2×#391C2211yescharacteristic
251#2293C2212yescomplemented
252C2×#390C2211yescharacteristic
253C2×#390C2211yescharacteristic
254C2×#389C2211yescharacteristic
255C2×#388C2212yes—
256C2×#388C2212yes—
257C42×D4C2212yes—
258C2×C4×C4⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×Q8C2311yescharacteristic
262C23×D4C2311yescharacteristic
263#557—44no—
264#550—44no—
265#548—48no—
266#546—48no—
267#539—28no—
268#538—216no—
269#532—48no—
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2312yes—
273C2×#127C2312yes—
274C2×#127C2311yescharacteristic
275C2×#127C2312yes—
276C2×#127C2312yes—
277#529—48no—
278C2×#126C2312yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2312yes—
282C2×#125C2312yes—
283C2×#125C2312yes—
284C2×#125C2314yes—
285C2×#124—44no—
286C2×#124C2314yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#123C2312yes—
296C2×#123C2312yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2311yescharacteristic
308C2×#121C2314yes—
309C2×#121C2311yescharacteristic
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×C4×Q8—44no—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2314yes—
352C2×#117C2314yes—
353C2×#117C2314yes—
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2312yes—
365C22×C22⋊C4C2312yes—
366C22×C22⋊C4C2312yes—
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2312yes—
371C22×C42C2311yescharacteristic
372#401C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#395C2314yes—
425#395C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2311yescharacteristic
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#390C2312yes—
473#390C2312yes—
474#390C2314yes—
475#390C2312yes—
476#390C2314yes—
477#390C2311yescharacteristic
478#390C2312yes—
479#390C2312yes—
480#390C2314yes—
481#390C2314yes—
482#390C2314yes—
483#390C2314yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2314yes—
492#390C2314yes—
493#390C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2314yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2311yescharacteristic
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#388C2312yes—
530#388C2312yes—
531#388C2312yes—
532#388C2314yes—
533#388C2314yes—
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#386C2312yes—
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2314yes—
638#385C2312yes—
639#385C2312yes—
640#385C2314yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#384C2311yescharacteristic
652#384C2311yescharacteristic
653#384C2312yes—
654#383C2312yes—
655#383C2314yes—
656#382C2312yes—
657#382C2312yes—
658#382C2312yes—
659#382C2314yes—
660#382C2314yes—
661#381C2312yes—
662#381C2314yes—
663#381C2312yes—
664#381C2314yes—
665#381C2314yes—
666#380C2311yescharacteristic
667#380C2311yescharacteristic
668#380C2312yes—
669#380C2314yes—
670#380C2312yes—
671#380C2314yes—
672#380C2314yes—
673#380C2312yes—
674#380C2314yes—
675#380C2312yes—
676#380C2312yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680C4×C4⋊C4C2311yescharacteristic
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C2×#95C2311yescharacteristic
716C2×#95C2311yescharacteristic
717C2×#95C2314yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C2×#95C2312yes—
721C43C2312yes—
722C25C2412yes—
723C2×#41—28no—
724C2×#41—44no—
725C2×#41—44no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C22×Q8—24no—
730C22×Q8—24no—
731C22×Q8—42no—
732C22×Q8C2411yescharacteristic
733C22×Q8C2412yes—
734C22×Q8C2412yes—
735C22×Q8C2411yescharacteristic
736C22×Q8C2411yescharacteristic
737C22×D4—24no—
738C22×D4—42no—
739C22×D4—42no—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2412yes—
747C22×D4C2411yescharacteristic
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C23×C4C2411yescharacteristic
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2412yes—
762C23×C4C2411yescharacteristic
763C23×C4C2412yes—
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2412yes—
773C23×C4C2411yescharacteristic
774C4⋊Q8—28no—
775C4⋊Q8—44no—
776C4⋊Q8—42no—
777#127—44no—
778#127—44no—
779#127—42no—
780#127—44no—
781#126—216no—
782#126—28no—
783#126—48no—
784#125—28no—
785#125—44no—
786#125—44no—
787#125—48no—
788#124—216no—
789#124—28no—
790#124—44no—
791#124—44no—
792#124—44no—
793#124—44no—
794#124—44no—
795#124—48no—
796#124—48no—
797#123—216no—
798#123—28no—
799#123—28no—
800#123—48no—
801#123—48no—
802#123—84no—
803#123—84no—
804C22⋊Q8—28no—
805C22⋊Q8—28no—
806C22⋊Q8—48no—
807C22⋊Q8—44no—
808C22⋊Q8—44no—
809C22⋊Q8#4118yescomplemented
810#121—28no—
811#121—24no—
812#121—28no—
813#121—216no—
814#121—48no—
815#121—48no—
816#121—48no—
817#121—44no—
818#121—44no—
819#121—48no—
820#121—48no—
821#121—44no—
822#121—48no—
823#121—84no—
824#121—84no—
825#120—216no—
826#120—48no—
827#120—48no—
828C4×Q8—24no—
829C4×Q8—24no—
830C4×Q8—42no—
831C4×Q8—44no—
832C4×Q8—42no—
833C4×Q8—44no—
834C4×Q8—44no—
835C4×Q8—42no—
836C4×Q8—44no—
837C4×Q8—44no—
838C4×Q8—44no—
839C4×D4—28no—
840C4×D4—216no—
841C4×D4—28no—
842C4×D4—44no—
843C4×D4—44no—
844C4×D4—44no—
845C4×D4—42no—
846C4×D4—44no—
847C4×D4—48no—
848C4×D4—48no—
849C4×D4—44no—
850C4×D4—48no—
851C4×D4—48no—
852C4×D4—84no—
853#117—48no—
854#117—84no—
855C2×C4⋊C4—24no—
856C2×C4⋊C4—42no—
857C2×C4⋊C4—42no—
858C2×C4⋊C4—44no—
859C2×C4⋊C4—42no—
860C2×C4⋊C4—82no—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C22⋊C4—28no—
917C2×C22⋊C4—44no—
918C2×C22⋊C4—44no—
919C2×C22⋊C4—48no—
920C2×C22⋊C4—44no—
921C2×C22⋊C4—82no—
922C2×C22⋊C4—82no—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C42—24no—
980C2×C42—44no—
981C2×C42—42no—
982C2×C42—42no—
983C2×C42—44no—
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2411yescharacteristic
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2414yes—
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2411yescharacteristic
994C2×C42C2412yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2414yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062C24—24no—
1063C24—24no—
1064C24—24no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24C2514yes—
1070C24C2512yes—
1071C24C2514yes—
1072C24C2511yescharacteristic
1073#41—816no—
1074#41—816no—
1075C2×Q8—22no—
1076C2×Q8—24no—
1077C2×Q8—22no—
1078C2×Q8—24no—
1079C2×Q8—24no—
1080C2×Q8—24no—
1081C2×Q8—22no—
1082C2×Q8—22no—
1083C2×Q8—24no—
1084C2×Q8—22no—
1085C2×Q8—41no—
1086C2×Q8—42no—
1087C2×Q8—41no—
1088C2×Q8—416no—
1089C2×Q8C2×#4114yes—
1090C2×Q8H(5,𝔽2)14yes—
1091C2×D4—28no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—28no—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—24no—
1100C2×D4—22no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—28no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—42no—
1112C2×D4—41no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—42no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—41no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—88no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—24no—
1145C22×C4—22no—
1146C22×C4—24no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—24no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—28no—
1157C22×C4—24no—
1158C22×C4—28no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—42no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—42no—
1165C22×C4—41no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—44no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—41no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—44no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4C2×#4114yes—
1193C22×C4H(5,𝔽2)14yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—28no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—41no—
1247C4⋊C4—42no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—41no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—41no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4C2×#4118yes—
1273C4⋊C4C2×#4114yes—
1274C22⋊C4—24no—
1275C22⋊C4—28no—
1276C22⋊C4—24no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—24no—
1286C22⋊C4—24no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4C2×#4118yes—
1330C42—28no—
1331C42—24no—
1332C42—24no—
1333C42—24no—
1334C42—24no—
1335C42—24no—
1336C42—22no—
1337C42—24no—
1338C42—22no—
1339C42—24no—
1340C42—24no—
1341C42—24no—
1342C42—42no—
1343C42—42no—
1344C42—41no—
1345C42—42no—
1346C42—41no—
1347C42—42no—
1348C42—42no—
1349C42—42no—
1350C42—44no—
1351C42—42no—
1352C42—44no—
1353C42—42no—
1354C42—44no—
1355C42—44no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—22no—
1361C23—24no—
1362C23—24no—
1363C23—24no—
1364C23—24no—
1365C23—22no—
1366C23—24no—
1367C23—24no—
1368C23—22no—
1369C23—24no—
1370C23—22no—
1371C23—22no—
1372C23—24no—
1373C23—24no—
1374C23—24no—
1375C23—22no—
1376C23—24no—
1377C23—24no—
1378C23—22no—
1379C23—24no—
1380C23—24no—
1381C23—48no—
1382C23—84no—
1383C23—84no—
1384C23—84no—
1385C23—84no—
1386C23—84no—
1387C23—84no—
1388C23C22×#4112yes—
1389C23C2×H(5,𝔽2)12yes—
1390C23#58512yes—
1391C23C2611yescharacteristic
1392Q8—28no—
1393Q8—44no—
1394Q8—48no—
1395Q8—44no—
1396Q8—48no—
1397D4—416no—
1398D4—48no—
1399D4—48no—
1400D4—48no—
1401D4—82no—
1402D4—84no—
1403D4—88no—
1404D4—88no—
1405D4—84no—
1406D4—88no—
1407D4—88no—
1408D4—88no—
1409D4—164no—
1410D4—164no—
1411D4—162no—
1412D4—164no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—28no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—44no—
1481C2×C4—48no—
1482C2×C4—44no—
1483C2×C4—48no—
1484C2×C4—84no—
1485C2×C4—88no—
1486C2×C4—88no—
1487C2×C4—82no—
1488C2×C4—84no—
1489C2×C4—82no—
1490C2×C4—84no—
1491C2×C4—82no—
1492C2×C4—82no—
1493C2×C4—88no—
1494C2×C4—84no—
1495C2×C4—88no—
1496C2×C4—164no—
1497C2×C4C22×#4114yes—
1498C2×C4C22×#4114yes—
1499C2×C4C22×#4112yes—
1500C2×C4C22×#4112yes—
1501C2×C4C2×H(5,𝔽2)12yes—
1502C2×C4C2×H(5,𝔽2)14yes—
1503C2×C4C2×H(5,𝔽2)12yes—
1504C2×C4C2×H(5,𝔽2)12yes—
1505C2×C4#58512yes—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—42no—
1513C22—44no—
1514C22—44no—
1515C22—42no—
1516C22—44no—
1517C22—44no—
1518C22—44no—
1519C22—44no—
1520C22—42no—
1521C22—42no—
1522C22—44no—
1523C22—44no—
1524C22—44no—
1525C22—44no—
1526C22—42no—
1527C22—42no—
1528C22—44no—
1529C22—44no—
1530C22—44no—
1531C22—44no—
1532C22—42no—
1533C22—168no—
1534C22#351714yes—
1535C22C23×#4111yescharacteristic
1536C22C22×H(5,𝔽2)11yescharacteristic
1537C22C22×H(5,𝔽2)11yescharacteristic
1538C22C2×#58511yescharacteristic
1539C22C2×#58511yescharacteristic
1540C22H(7,𝔽2)11yescharacteristic
1541C222−1+611yescharacteristic
1542C4—22no—
1543C4—24no—
1544C4—22no—
1545C4—22no—
1546C4—24no—
1547C4—24no—
1548C4—42no—
1549C4—42no—
1550C4—44no—
1551C4—42no—
1552C4—44no—
1553C4—42no—
1554C4—44no—
1555C4—42no—
1556C4—42no—
1557C4—44no—
1558C4—42no—
1559C4—42no—
1560C4—41no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—41no—
1565C4—42no—
1566C4#353414yes—
1567C2—24no—
1568C2—82no—
1569C2—84no—
1570C2—84no—
1571C2C2×#353411yescharacteristic
1572C2C2×#351711yescharacteristic
1573C2#6287811yescharacteristic
1574C2#6289911yescharacteristic
1575C2#6296411yescharacteristic
1576C2#6298411yescharacteristic
1577C2#6301011yescharacteristic
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. #59483C2semidirect
2. #59078C2semidirect
3. #59061C2semidirect
4. #59046C2semidirect
5. #49927C2semidirect
6. #48705C2semidirect
7. #47649C2semidirect
8. #47136C2semidirect
9. #46063C2semidirect
10. #45689C2semidirect
11. #43649C2semidirect
12. #40846C2semidirect
13. #40105C2semidirect
14. #39865C2semidirect
15. #39550C2semidirect
16. #39486C2semidirect
17. #39383C2semidirect
18. #39380C2semidirect
19. #39215C2semidirect
20. #39202C2semidirect
21. #36759C2semidirect
22. #36576C2semidirect
23. #36545C2semidirect
24. #36292C2semidirect
25. #36124C2semidirect
26. #35103C2semidirect
27. C2×#2448C2semidirect
28. #34424C2semidirect
29. C4×#539C2semidirect
30. C2×#557C22semidirect
31. C2×#550C22semidirect
40. #2863C22semidirect
45. #2854C22semidirect
49. #2837C22semidirect
50. #2829C22semidirect
51. #2803C22semidirect
52. #2800C22semidirect
53. #2797C22semidirect
54. #2797C22semidirect
55. #2797C22semidirect
56. #2793C22semidirect
57. #2787C22semidirect
58. #2783C22semidirect
59. #2780C22semidirect
60. #2779C22semidirect
61. #2773C22semidirect
62. #2761C22semidirect
63. #2757C22semidirect
64. #2757C22semidirect
65. #2756C22semidirect
66. #2753C22semidirect
67. #2752C22semidirect
68. #2752C22semidirect
69. #2748C22semidirect
70. #2740C22semidirect
72. #2730C22semidirect
74. #2721C22semidirect
75. #2715C22semidirect
78. #2711C22semidirect
79. #2711C22semidirect
80. #2708C22semidirect
81. #2706C22semidirect
83. #2705C22semidirect
85. #2701C22semidirect
86. #2698C22semidirect
87. #2688C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2671C22semidirect
93. #2667C22semidirect
94. #2651C22semidirect
95. #2635C22semidirect
96. #2624C22semidirect
101. #2602C22semidirect
102. #2601C22semidirect
103. #2601C22semidirect
104. #2600C22semidirect
105. #2594C22semidirect
106. #2584C22semidirect
107. #2582C22semidirect
108. #2581C22semidirect
109. #2577C22semidirect
110. #2576C22semidirect
111. #2576C22semidirect
112. #2573C22semidirect
113. #2566C22semidirect
114. #2565C22semidirect
117. #2554C22semidirect
118. #2554C22semidirect
121. #2548C22semidirect
122. #2548C22semidirect
123. #2547C22semidirect
124. #2546C22semidirect
126. #2545C22semidirect
128. #2544C22semidirect
129. #2543C22semidirect
132. #2538C22semidirect
133. #2538C22semidirect
134. #2522C22semidirect
135. #2518C22semidirect
138. #2510C22semidirect
139. #2508C22semidirect
140. #2494C22semidirect
142. #2490C22semidirect
143. #2490C22semidirect
144. #2489C22semidirect
145. #2474C22semidirect
148. #2471C22semidirect
149. #2470C22semidirect
150. #2462C22semidirect
153. #2460C22semidirect
154. #2460C22semidirect
156. #2454C22semidirect
157. #2453C22semidirect
165. #2448C22semidirect
167. #2447C22semidirect
168. #2446C22semidirect
172. #2438C22semidirect
177. #2432C22semidirect
180. #2429C22semidirect
182. #2427C22semidirect
183. #2426C22semidirect
184. #2426C22semidirect
185. #2426C22semidirect
192. #2420C22semidirect
203. #2379C22semidirect
204. #2376C22semidirect
205. #2367C22semidirect
207. #2365C22semidirect
208. #2365C22semidirect
212. #2359C22semidirect
216. #2355C22semidirect
218. Q8×C4⋊C4C22semidirect
221. #2341C22semidirect
222. #2339C22semidirect
223. #2336C22semidirect
224. #2335C22semidirect
225. #2334C22semidirect
226. #2334C22semidirect
227. #2334C22semidirect
228. #2332C22semidirect
233. #2325C22semidirect
234. #2324C22semidirect
239. C4×#125C22semidirect
240. C4×#126C22semidirect
244. C4×C22⋊Q8C22semidirect
245. C4×C22⋊Q8C22semidirect
247. C4×#123C22semidirect
251. #2293C22semidirect
809. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#594832
#590782
#590612
#590462
#499272
#487052
#476492
#471362
#460632
#456892
#436492
#408462
#401052
#398652
#395502
#394862
#393832
#393802
#392152
#392022
#367592
#365762
#365452
#362922
#361242
#351032
C2×#24482
#344242
C4×#5392