Finite Group Databasebeta

← #7696681

Subgroups — #7696681

Order 512.

5543 conjugacy classes of subgroups.

The subgroup lattice has 1552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59973C212yesmaximal, complemented
2#59946C211yesmaximal, characteristic, complemented
3#59628C211yesmaximal, characteristic, complemented
4#59173C212yesmaximal, complemented
5#59070C212yesmaximal, complemented
6#59001C211yesmaximal, characteristic, complemented
7#52185C211yesmaximal, characteristic, complemented
8#52165C212yesmaximal, complemented
9#45247C212yesmaximal, complemented
10#45028C212yesmaximal, complemented
11#44997C212yesmaximal, complemented
12#44310C214yesmaximal, complemented
13#44217C214yesmaximal, complemented
14#43412C214yesmaximal, complemented
15#40359C214yesmaximal, complemented
16#40041C214yesmaximal, complemented
17#39052C212yesmaximal, complemented
18#38548C214yesmaximal, complemented
19#38249C212yesmaximal, complemented
20#37669C212yesmaximal, complemented
21#36422C211yesmaximal, characteristic, complemented
22#36125C211yesmaximal, characteristic, complemented
23#36103C211yesmaximal, characteristic, complemented
24#35880C212yesmaximal, complemented
25#35722C212yesmaximal, complemented
26#35704C212yesmaximal, complemented
27#34294C212yesmaximal, complemented
28#34284C212yesmaximal, complemented
29#34200C212yesmaximal, complemented
30C2×#559C2212yes—
31C2×#550C2211yescharacteristic, complemented
32C2×#548C2212yes—
33C2×#547C2211yescharacteristic
34C2×#542C2212yes—
35C2×#532C2212yes—
36C2×#525C2212yes—
37C2×#525C2212yes—
38C2×#520C2212yes—
39C22×C4×Q8C2211yescharacteristic, complemented
40C23×C4⋊C4C2211yescharacteristic
41#2858C2211yescharacteristic, complemented
42#2854C2211yescharacteristic, complemented
43#2853C2212yescomplemented
44#2850C2212yescomplemented
45#2849C2212yes—
46#2847C2211yescharacteristic
47#2801C2214yescomplemented
48#2797C2214yes—
49#2795C2214yescomplemented
50#2791C2214yescomplemented
51#2790C2214yes—
52#2789C2212yescomplemented
53#2780C2214yescomplemented
54#2778C2214yes—
55#2755C2214yescomplemented
56#2753C2214yescomplemented
57#2748C2211yescharacteristic
58#2748C2214yescomplemented
59#2747C2212yes—
60#2746C2212yes—
61#2745C2212yes—
62#2744C2212yes—
63#2743C2212yes—
64#2735C2212yes—
65#2730C2214yes—
66#2729C2214yes—
67#2718C2214yescomplemented
68#2717C2212yes—
69#2717C2211yescharacteristic
70#2717C2214yescomplemented
71#2712C2214yes—
72#2712C2212yescomplemented
73#2709C2212yes—
74#2705C2214yes—
75#2702C2214yescomplemented
76#2701C2214yes—
77#2697C2211yescharacteristic
78#2696C2214yes—
79#2692C2214yescomplemented
80#2688C2214yes—
81#2684C2211yescharacteristic
82#2678C2214yes—
83#2671C2214yes—
84#2670C2214yes—
85#2670C2212yes—
86#2669C2212yes—
87#2653C2214yes—
88#2650C2214yescomplemented
89#2644C2212yescomplemented
90#2635C2214yes—
91#2624C2212yes—
92#2619C2212yes—
93#2603C2214yes—
94#2602C2214yes—
95#2602C2214yes—
96#2600C2212yescomplemented
97#2596C2214yescomplemented
98#2594C2214yescomplemented
99#2591C2214yescomplemented
100#2589C2214yes—
101#2589C2214yescomplemented
102#2587C2214yescomplemented
103#2586C2212yescomplemented
104#2581C2212yescomplemented
105#2576C2214yescomplemented
106#2567C2214yescomplemented
107#2557C2214yes—
108#2555C2214yes—
109#2554C2214yes—
110#2548C2212yescomplemented
111#2546C2211yescharacteristic, complemented
112#2541C2211yescharacteristic
113#2531C2214yescomplemented
114#2530C2214yescomplemented
115#2527C2214yes—
116#2527C2214yescomplemented
117#2526C2214yes—
118#2521C2214yescomplemented
119#2520C2214yescomplemented
120#2516C2214yescomplemented
121#2512C2212yescomplemented
122#2509C2212yescomplemented
123#2507C2212yescomplemented
124#2501C2211yescharacteristic
125#2494C2212yescomplemented
126#2491C2212yes—
127#2491C2212yescomplemented
128#2486C2211yescharacteristic
129#2479C2214yescomplemented
130#2476C2214yescomplemented
131#2476C2214yescomplemented
132#2474C2214yes—
133#2467C2214yes—
134#2467C2214yescomplemented
135#2466C2214yes—
136#2465C2214yes—
137#2465C2214yescomplemented
138#2464C2214yes—
139#2464C2214yescomplemented
140#2463C2212yes—
141#2461C2214yes—
142#2461C2214yes—
143#2459C2214yes—
144#2459C2214yes—
145#2459C2214yes—
146#2458C2214yes—
147#2458C2214yescomplemented
148#2457C2214yes—
149#2456C2214yes—
150#2456C2214yes—
151#2456C2214yes—
152#2456C2214yes—
153#2451C2212yescomplemented
154#2451C2212yescomplemented
155#2449C2214yes—
156#2448C2212yescomplemented
157#2447C2214yes—
158#2447C2214yescomplemented
159#2445C2212yescomplemented
160#2445C2212yescomplemented
161#2443C2214yes—
162#2440C2212yes—
163#2439C2212yes—
164#2436C2211yescharacteristic, complemented
165#2432C2212yescomplemented
166#2431C2212yes—
167#2431C2212yes—
168#2431C2212yes—
169#2428C2212yes—
170#2428C2212yescomplemented
171#2427C2214yes—
172#2427C2214yescomplemented
173#2426C2212yes—
174#2426C2212yes—
175#2422C2214yes—
176#2422C2214yescomplemented
177#2421C2212yes—
178#2416C2212yes—
179#2414C2212yes—
180#2413C2212yes—
181#2413C2212yescomplemented
182#2409C2211yescharacteristic
183#2406C2212yes—
184#2406C2212yes—
185#2406C2214yescomplemented
186#2401C2212yes—
187#2396C2212yes—
188#2395C2214yes—
189#2395C2212yes—
190#2392C2214yes—
191#2388C2214yes—
192#2374C2212yes—
193#2373C2214yescomplemented
194#2373C2214yescomplemented
195#2372C2214yes—
196#2369C2212yescomplemented
197#2367C2214yes—
198#2367C2214yes—
199#2367C2212yescomplemented
200#2367C2212yescomplemented
201#2367C2212yescomplemented
202#2366C2212yes—
203#2365C2212yescomplemented
204#2363C2212yes—
205#2362C2212yes—
206#2361C2212yes—
207#2361C2212yes—
208#2361C2214yes—
209#2361C2212yes—
210#2361C2212yes—
211#2361C2212yes—
212#2361C2212yescomplemented
213#2360C2212yes—
214#2360C2212yes—
215#2360C2212yes—
216#2360C2212yes—
217#2360C2214yescomplemented
218#2357C2212yescomplemented
219#2352C2214yes—
220#2352C2214yes—
221Q8×C4⋊C4C2212yescomplemented
222D4×C4⋊C4C2212yes—
223D4×C4⋊C4C2214yes—
224D4×C4⋊C4C2214yes—
225D4×C4⋊C4C2214yescomplemented
226#2344C2211yescharacteristic
227#2344C2211yescharacteristic, complemented
228#2341C2212yes—
229Q8×C22⋊C4C2212yescomplemented
230#2335C2214yes—
231#2332C2214yescomplemented
232#2326C2214yes—
233#2326C2212yescomplemented
234#2323C2212yes—
235#2323C2214yescomplemented
236#2322C2214yes—
237#2322C2214yes—
238#2319C2212yescomplemented
239#2317C2212yes—
240#2311C2212yes—
241C4×#124C2211yescharacteristic
242C4×C22⋊Q8C2214yescomplemented
243C4×#123C2211yescharacteristic
244C4×#123C2214yes—
245C4×#121C2214yes—
246C4×#121C2212yescomplemented
247C4×#120C2211yescharacteristic
248C4×#120C2214yes—
249C4×#120C2214yes—
250#2298C2212yes—
251#2297C2212yes—
252#2295C2212yescomplemented
253#2290C2212yes—
254#2290C2214yescomplemented
255#2280C2212yes—
256#2276C2212yescomplemented
257#2274C2212yes—
258C42×D4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2312yes—
262C23×Q8C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2312yes—
265#559—48no—
266#550—44no—
267#548—216no—
268#547—44no—
269#542—216no—
270#532—48no—
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2311yescharacteristic
274C2×#127C2312yes—
275C2×#127C2311yescharacteristic
276C2×#127C2312yes—
277C2×#126C2314yes—
278C2×#126C2314yes—
279C2×#124C2314yes—
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×#124C2312yes—
283C2×#124C2311yescharacteristic
284C2×#124C2312yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#124C2312yes—
288#525—216no—
289#525—48no—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2312yes—
293C2×#123C2311yescharacteristic
294C2×#123C2312yes—
295C2×#123C2312yes—
296C2×#123C2312yes—
297C2×#123C2314yes—
298C2×#123C2312yes—
299C2×#123C2312yes—
300C2×#123C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2311yescharacteristic
314C2×#121C2312yes—
315C2×#121C2311yescharacteristic
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#120C2311yescharacteristic
320C2×#120C2314yes—
321C2×#120C2312yes—
322#520—48no—
323C2×C4×Q8—44no—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2314yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2314yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2314yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C22×C4⋊C4—44no—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2314yes—
363C22×C4⋊C4C2314yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C42C2312yes—
368C22×C42C2312yes—
369C22×C42C2311yescharacteristic
370#401C2314yes—
371#401C2312yes—
372#400C2314yes—
373#400C2312yes—
374#400C2314yes—
375#400C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#399C2312yes—
382#399C2314yes—
383#399C2314yes—
384#399C2312yes—
385#399C2314yes—
386#398C2312yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2312yes—
391#398C2314yes—
392#398C2312yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2312yes—
400#397C2312yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2312yes—
405#397C2312yes—
406#397C2314yes—
407#397C2312yes—
408#397C2312yes—
409#397C2314yes—
410#397C2312yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2312yes—
417#396C2312yes—
418#396C2312yes—
419#396C2314yes—
420#395C2312yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2312yes—
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#394C2312yes—
442#394C2314yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2312yes—
449#393C2314yes—
450#393C2312yes—
451#393C2314yes—
452#392C2312yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2312yes—
462#392C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2314yes—
471#391C2311yescharacteristic
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2314yes—
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2314yes—
492#390C2314yes—
493#390C2311yescharacteristic
494#390C2314yes—
495#390C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
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#388C2312yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#387C2312yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2312yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2312yes—
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2311yescharacteristic
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2312yes—
616#386C2311yescharacteristic
617#386C2314yes—
618#386C2312yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2311yescharacteristic
633#385C2312yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2311yescharacteristic
643#385C2312yes—
644#385C2312yes—
645#384C2314yes—
646#384C2314yes—
647#384C2312yes—
648#382C2314yes—
649#382C2312yes—
650#382C2311yescharacteristic
651#381C2314yes—
652#381C2312yes—
653#381C2312yes—
654#381C2312yes—
655#381C2312yes—
656#381C2312yes—
657#381C2311yescharacteristic
658#381C2314yes—
659#380C2314yes—
660#380C2314yes—
661#380C2314yes—
662#380C2312yes—
663#380C2314yes—
664#380C2311yescharacteristic
665#380C2312yes—
666#380C2314yes—
667#380C2311yescharacteristic
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#379C2311yescharacteristic
673#379C2312yes—
674#379C2312yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2311yescharacteristic
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719#376C2312yes—
720#376C2314yes—
721#376C2314yes—
722C43C2311yescharacteristic
723C25C2411yescharacteristic
724C2×#41—28no—
725C2×#41—28no—
726C2×#41—28no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—82no—
732C2×#41—82no—
733C22×Q8—28no—
734C22×Q8—42no—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×Q8C2414yes—
738C22×Q8C2411yescharacteristic
739C22×Q8C2412yes—
740C22×D4C2411yescharacteristic
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2411yescharacteristic
755C23×C4—28no—
756C23×C4—42no—
757C23×C4—44no—
758C23×C4—44no—
759C23×C4—82no—
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2411yescharacteristic
765C23×C4C2412yes—
766C23×C4C2414yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2411yescharacteristic
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2411yescharacteristic
778C4⋊Q8—28no—
779C4⋊Q8—42no—
780C4⋊Q8—44no—
781#127—28no—
782#127—44no—
783#127—42no—
784#126—216no—
785#126—84no—
786#124—28no—
787#124—28no—
788#124—24no—
789#124—216no—
790#124—216no—
791#124—44no—
792#124—48no—
793#124—48no—
794#124—82no—
795#123—28no—
796#123—24no—
797#123—216no—
798#123—216no—
799#123—44no—
800#123—44no—
801#123—44no—
802#123—48no—
803#123—82no—
804#123—82no—
805#123—84no—
806C22⋊Q8—28no—
807C22⋊Q8—216no—
808C22⋊Q8—216no—
809C22⋊Q8—48no—
810C22⋊Q8—44no—
811C22⋊Q8#41116yescomplemented
812#121—28no—
813#121—28no—
814#121—28no—
815#121—28no—
816#121—216no—
817#121—44no—
818#121—48no—
819#121—48no—
820#121—48no—
821#121—48no—
822#121—42no—
823#121—42no—
824#120—24no—
825#120—216no—
826#120—44no—
827C4×Q8—28no—
828C4×Q8—28no—
829C4×Q8—28no—
830C4×Q8—42no—
831C4×Q8—48no—
832C4×Q8—48no—
833C4×Q8—44no—
834C4×Q8—44no—
835C4×D4—28no—
836C4×D4—216no—
837C4×D4—28no—
838C4×D4—216no—
839C4×D4—28no—
840C4×D4—24no—
841C4×D4—216no—
842C4×D4—44no—
843C4×D4—48no—
844C4×D4—42no—
845C4×D4—48no—
846C4×D4—48no—
847C4×D4—48no—
848C4×D4—48no—
849C4×D4—48no—
850C4×D4—48no—
851C4×D4—48no—
852C4×D4—84no—
853C4×D4—84no—
854#117—28no—
855#117—28no—
856#117—44no—
857#117—48no—
858#117—44no—
859#117—82no—
860C2×C4⋊C4—28no—
861C2×C4⋊C4—24no—
862C2×C4⋊C4—24no—
863C2×C4⋊C4—44no—
864C2×C4⋊C4—48no—
865C2×C4⋊C4—42no—
866C2×C4⋊C4—44no—
867C2×C4⋊C4—44no—
868C2×C4⋊C4—48no—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2411yescharacteristic
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2411yescharacteristic
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2411yescharacteristic
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C42—44no—
980C2×C42—42no—
981C2×C42—44no—
982C2×C42C2414yes—
983C2×C42C2412yes—
984C2×C42C2414yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2411yescharacteristic
989C2×C42C2412yes—
990C2×C42C2414yes—
991C2×C42C2412yes—
992C2×C42C2414yes—
993C2×C42C2411yescharacteristic
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005#95C2412yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2414yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062C24—24no—
1063C24—22no—
1064C24—41no—
1065C24—41no—
1066C24—42no—
1067C24C2512yes—
1068C24C2514yes—
1069C24C2512yes—
1070C24C2511yescharacteristic
1071C24C2511yescharacteristic
1072#41—432no—
1073#41—816no—
1074#41—816no—
1075C2×Q8—24no—
1076C2×Q8—28no—
1077C2×Q8—28no—
1078C2×Q8—24no—
1079C2×Q8—22no—
1080C2×Q8—24no—
1081C2×Q8—42no—
1082C2×Q8—41no—
1083C2×Q8—41no—
1084C2×Q8—44no—
1085C2×Q8—42no—
1086C2×Q8—42no—
1087C2×Q8—44no—
1088C2×Q8—416no—
1089C2×Q8C2×#4118yes—
1090C2×D4—28no—
1091C2×D4—24no—
1092C2×D4—28no—
1093C2×D4—24no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—24no—
1102C2×D4—28no—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—22no—
1107C2×D4—24no—
1108C2×D4—44no—
1109C2×D4—41no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—42no—
1114C2×D4—44no—
1115C2×D4—41no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—42no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4H(5,𝔽2)14yes—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—22no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—28no—
1142C22×C4—28no—
1143C22×C4—24no—
1144C22×C4—28no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—22no—
1149C22×C4—24no—
1150C22×C4—22no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—28no—
1154C22×C4—28no—
1155C22×C4—28no—
1156C22×C4—41no—
1157C22×C4—42no—
1158C22×C4—41no—
1159C22×C4—42no—
1160C22×C4—44no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—416no—
1166C22×C4—41no—
1167C22×C4—44no—
1168C22×C4—42no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—41no—
1177C22×C4—42no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—816no—
1183C22×C4C2×#4118yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2514yes—
1190C22×C4C2514yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—28no—
1213C4⋊C4—28no—
1214C4⋊C4—24no—
1215C4⋊C4—28no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—41no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4C2×#4118yes—
1255C4⋊C4C2×#41116yes—
1256C4⋊C4H(5,𝔽2)14yes—
1257C22⋊C4—24no—
1258C22⋊C4—24no—
1259C22⋊C4—24no—
1260C22⋊C4—22no—
1261C22⋊C4—24no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—28no—
1265C22⋊C4—24no—
1266C22⋊C4—22no—
1267C22⋊C4—28no—
1268C22⋊C4—24no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—44no—
1294C22⋊C4—42no—
1295C22⋊C4—41no—
1296C22⋊C4—42no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—41no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4C2×#41116yes—
1318C42—28no—
1319C42—24no—
1320C42—24no—
1321C42—28no—
1322C42—24no—
1323C42—28no—
1324C42—22no—
1325C42—28no—
1326C42—24no—
1327C42—24no—
1328C42—24no—
1329C42—22no—
1330C42—44no—
1331C42—44no—
1332C42—42no—
1333C42—42no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—44no—
1340C42—41no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—22no—
1350C23—21no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—24no—
1356C23—24no—
1357C23—24no—
1358C23—22no—
1359C23—24no—
1360C23—24no—
1361C23—22no—
1362C23—24no—
1363C23—22no—
1364C23—24no—
1365C23—24no—
1366C23—24no—
1367C23—44no—
1368C23—48no—
1369C23—44no—
1370C23—48no—
1371C23—44no—
1372C23C22×#4114yes—
1373C23C2×H(5,𝔽2)12yes—
1374C23C2×H(5,𝔽2)12yes—
1375C23C2611yescharacteristic
1376Q8—216no—
1377Q8—48no—
1378Q8—44no—
1379Q8—88no—
1380Q8—84no—
1381D4—44no—
1382D4—416no—
1383D4—416no—
1384D4—416no—
1385D4—48no—
1386D4—416no—
1387D4—44no—
1388D4—48no—
1389D4—84no—
1390D4—88no—
1391D4—84no—
1392D4—84no—
1393D4—88no—
1394D4—164no—
1395D4—162no—
1396C2×C4—22no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—24no—
1406C2×C4—216no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—44no—
1459C2×C4—48no—
1460C2×C4—416no—
1461C2×C4—48no—
1462C2×C4—48no—
1463C2×C4—48no—
1464C2×C4—48no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—88no—
1469C2×C4—88no—
1470C2×C4—88no—
1471C2×C4—82no—
1472C2×C4—84no—
1473C2×C4—88no—
1474C2×C4—164no—
1475C2×C4C22×#4118yes—
1476C2×C4C22×#4118yes—
1477C2×C4C22×#4114yes—
1478C2×C4C22×#4114yes—
1479C2×C4C2×H(5,𝔽2)12yes—
1480C2×C4C2×H(5,𝔽2)14yes—
1481C2×C4C2×H(5,𝔽2)12yes—
1482C22—24no—
1483C22—24no—
1484C22—24no—
1485C22—24no—
1486C22—22no—
1487C22—22no—
1488C22—24no—
1489C22—416no—
1490C22—42no—
1491C22—41no—
1492C22—42no—
1493C22—41no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—41no—
1499C22—41no—
1500C22—44no—
1501C22—44no—
1502C22—44no—
1503C22—42no—
1504C22—44no—
1505C22—44no—
1506C22—44no—
1507C22—44no—
1508C22—42no—
1509C22—44no—
1510C22—44no—
1511C22—42no—
1512C22C23×#4112yes—
1513C22C22×H(5,𝔽2)11yescharacteristic
1514C22C22×H(5,𝔽2)11yescharacteristic
1515C22H(7,𝔽2)11yescharacteristic
1516C222−1+612yes—
1517C4—28no—
1518C4—24no—
1519C4—22no—
1520C4—24no—
1521C4—28no—
1522C4—42no—
1523C4—42no—
1524C4—44no—
1525C4—42no—
1526C4—42no—
1527C4—42no—
1528C4—41no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—44no—
1533C4—42no—
1534C4—42no—
1535C4—44no—
1536C4—42no—
1537C4—42no—
1538C4—41no—
1539C4—41no—
1540C4#348114yes—
1541C2—42no—
1542C2—42no—
1543C2—44no—
1544C2—82no—
1545C2—84no—
1546C2C2×#348111yescharacteristic
1547C2#6285112yes—
1548C2#6289211yescharacteristic
1549C2#6298512yes—
1550C2#6304811yescharacteristic
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. #59973C2semidirect
2. #59946C2semidirect
3. #59628C2semidirect
4. #59173C2semidirect
5. #59070C2semidirect
6. #59001C2semidirect
7. #52185C2semidirect
8. #52165C2semidirect
9. #45247C2semidirect
10. #45028C2semidirect
11. #44997C2semidirect
12. #44310C2semidirect
13. #44217C2semidirect
14. #43412C2semidirect
15. #40359C2semidirect
16. #40041C2semidirect
17. #39052C2semidirect
18. #38548C2semidirect
19. #38249C2semidirect
20. #37669C2semidirect
21. #36422C2semidirect
22. #36125C2semidirect
23. #36103C2semidirect
24. #35880C2semidirect
25. #35722C2semidirect
26. #35704C2semidirect
27. #34294C2semidirect
28. #34284C2semidirect
29. #34200C2semidirect
31. C2×#550C22semidirect
39. C22×C4×Q8C22semidirect
41. #2858C22semidirect
42. #2854C22semidirect
43. #2853C22semidirect
44. #2850C22semidirect
47. #2801C22semidirect
49. #2795C22semidirect
50. #2791C22semidirect
52. #2789C22semidirect
53. #2780C22semidirect
55. #2755C22semidirect
56. #2753C22semidirect
58. #2748C22semidirect
67. #2718C22semidirect
70. #2717C22semidirect
72. #2712C22semidirect
75. #2702C22semidirect
79. #2692C22semidirect
88. #2650C22semidirect
89. #2644C22semidirect
96. #2600C22semidirect
97. #2596C22semidirect
98. #2594C22semidirect
99. #2591C22semidirect
101. #2589C22semidirect
102. #2587C22semidirect
103. #2586C22semidirect
104. #2581C22semidirect
105. #2576C22semidirect
106. #2567C22semidirect
110. #2548C22semidirect
111. #2546C22semidirect
113. #2531C22semidirect
114. #2530C22semidirect
116. #2527C22semidirect
118. #2521C22semidirect
119. #2520C22semidirect
120. #2516C22semidirect
121. #2512C22semidirect
122. #2509C22semidirect
123. #2507C22semidirect
125. #2494C22semidirect
127. #2491C22semidirect
129. #2479C22semidirect
130. #2476C22semidirect
131. #2476C22semidirect
134. #2467C22semidirect
137. #2465C22semidirect
139. #2464C22semidirect
147. #2458C22semidirect
153. #2451C22semidirect
154. #2451C22semidirect
156. #2448C22semidirect
158. #2447C22semidirect
159. #2445C22semidirect
160. #2445C22semidirect
164. #2436C22semidirect
165. #2432C22semidirect
170. #2428C22semidirect
172. #2427C22semidirect
176. #2422C22semidirect
181. #2413C22semidirect
185. #2406C22semidirect
193. #2373C22semidirect
194. #2373C22semidirect
196. #2369C22semidirect
199. #2367C22semidirect
200. #2367C22semidirect
201. #2367C22semidirect
203. #2365C22semidirect
212. #2361C22semidirect
217. #2360C22semidirect
218. #2357C22semidirect
221. Q8×C4⋊C4C22semidirect
225. D4×C4⋊C4C22semidirect
227. #2344C22semidirect
229. Q8×C22⋊C4C22semidirect
231. #2332C22semidirect
233. #2326C22semidirect
235. #2323C22semidirect
238. #2319C22semidirect
242. C4×C22⋊Q8C22semidirect
246. C4×#121C22semidirect
252. #2295C22semidirect
254. #2290C22semidirect
256. #2276C22semidirect
258. C42×D4C22semidirect
811. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599732
#599462
#596282
#591732
#590702
#590012
#521852
#521652
#452472
#450282
#449972
#443102
#442172
#434122
#403592
#400412
#390522
#385482
#382492
#376692
#364222
#361252
#361032
#358802
#357222
#357042
#342942
#342842
#342002