Finite Group Databasebeta

← #7696433

Subgroups — #7696433

Order 512.

5298 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60032C212yesmaximal, complemented
2#59795C214yesmaximal, complemented
3#59308C212yesmaximal, complemented
4#59201C211yesmaximal, characteristic, complemented
5#52294C212yesmaximal, complemented
6#52096C211yesmaximal, characteristic, complemented
7#45433C211yesmaximal, characteristic, complemented
8#45160C212yesmaximal, complemented
9#45125C212yesmaximal, complemented
10#44914C211yesmaximal, characteristic, complemented
11#44824C212yesmaximal, complemented
12#44325C212yesmaximal, complemented
13#44171C214yesmaximal, complemented
14#43430C214yesmaximal, complemented
15#40432C214yesmaximal, complemented
16#40382C214yesmaximal, complemented
17#39469C212yesmaximal, complemented
18#38843C214yesmaximal, complemented
19#37875C212yesmaximal, complemented
20#37845C212yesmaximal, complemented
21#36581C211yesmaximal, characteristic, complemented
22#36449C212yesmaximal, complemented
23#36083C211yesmaximal, characteristic, complemented
24#35923C211yesmaximal, characteristic, complemented
25#35770C212yesmaximal, complemented
26#35682C212yesmaximal, complemented
27#34306C212yesmaximal, complemented
28#34208C212yesmaximal, complemented
29#34200C212yesmaximal, complemented
30C2×#555C2212yes—
31C2×#553C2211yescharacteristic
32C2×#547C2211yescharacteristic, complemented
33C2×#532C2212yes—
34C2×#525C2212yes—
35C2×#520C2212yes—
36C2×#520C2211yescharacteristic, complemented
37C23×C4⋊C4C2211yescharacteristic
38#2863C2214yescomplemented
39#2857C2212yescomplemented
40#2847C2212yes—
41#2847C2211yescharacteristic
42#2800C2214yescomplemented
43#2782C2212yescomplemented
44#2778C2214yes—
45#2774C2214yescomplemented
46#2772C2214yescomplemented
47#2768C2214yes—
48#2763C2212yes—
49#2763C2214yes—
50#2762C2214yescomplemented
51#2756C2214yescomplemented
52#2755C2214yescomplemented
53#2754C2214yescomplemented
54#2753C2214yes—
55#2753C2214yes—
56#2753C2214yes—
57#2752C2212yescomplemented
58#2739C2214yescomplemented
59#2736C2212yes—
60#2723C2214yescomplemented
61#2712C2212yes—
62#2712C2214yes—
63#2712C2214yescomplemented
64#2700C2214yes—
65#2697C2212yes—
66#2688C2214yes—
67#2688C2214yes—
68#2677C2211yescharacteristic
69#2676C2214yes—
70#2676C2212yes—
71#2676C2214yescomplemented
72#2675C2211yescharacteristic
73#2674C2212yes—
74#2673C2212yes—
75#2672C2212yes—
76#2671C2212yes—
77#2670C2211yescharacteristic
78#2670C2214yes—
79#2669C2212yes—
80#2668C2211yescharacteristic
81#2668C2214yes—
82#2663C2212yescomplemented
83#2660C2211yescharacteristic, complemented
84#2653C2214yes—
85#2637C2212yescomplemented
86#2630C2214yes—
87#2628C2212yes—
88#2615C2212yes—
89#2615C2211yescharacteristic, complemented
90#2612C2212yescomplemented
91#2607C2212yescomplemented
92#2603C2214yes—
93#2603C2212yescomplemented
94#2602C2214yescomplemented
95#2597C2214yescomplemented
96#2595C2214yescomplemented
97#2591C2212yes—
98#2579C2212yes—
99#2578C2214yes—
100#2578C2214yes—
101#2578C2214yes—
102#2578C2214yescomplemented
103#2576C2214yes—
104#2574C2214yescomplemented
105#2572C2214yes—
106#2571C2212yescomplemented
107#2570C2212yescomplemented
108#2564C2212yes—
109#2564C2214yes—
110#2563C2211yescharacteristic
111#2563C2212yescomplemented
112#2562C2211yescharacteristic, complemented
113#2559C2214yes—
114#2559C2214yescomplemented
115#2557C2214yes—
116#2557C2214yes—
117#2555C2214yes—
118#2553C2214yescomplemented
119#2549C2214yescomplemented
120#2547C2212yes—
121#2543C2214yes—
122#2537C2212yescomplemented
123#2535C2212yes—
124#2535C2214yes—
125#2535C2212yes—
126#2532C2214yescomplemented
127#2531C2214yes—
128#2530C2214yes—
129#2530C2214yescomplemented
130#2528C2214yescomplemented
131#2523C2212yes—
132#2518C2214yescomplemented
133#2518C2214yescomplemented
134#2517C2212yes—
135#2517C2214yes—
136#2515C2214yes—
137#2510C2214yescomplemented
138#2505C2214yescomplemented
139#2504C2211yescharacteristic
140#2504C2211yescharacteristic, complemented
141#2500C2212yescomplemented
142#2496C2212yescomplemented
143#2495C2212yes—
144#2495C2212yescomplemented
145#2494C2212yescomplemented
146#2487C2211yescharacteristic
147#2486C2211yescharacteristic
148#2485C2212yes—
149#2485C2212yes—
150#2485C2212yes—
151#2485C2212yescomplemented
152#2485C2212yescomplemented
153#2481C2214yes—
154#2477C2214yes—
155#2471C2214yes—
156#2469C2214yescomplemented
157#2467C2214yes—
158#2465C2214yescomplemented
159#2464C2214yes—
160#2464C2214yes—
161#2463C2212yes—
162#2463C2214yes—
163#2458C2214yescomplemented
164#2457C2214yescomplemented
165#2456C2214yes—
166#2450C2214yes—
167#2444C2214yescomplemented
168#2443C2214yes—
169#2442C2212yes—
170#2442C2212yescomplemented
171#2440C2212yescomplemented
172#2439C2212yes—
173#2439C2214yescomplemented
174#2430C2212yescomplemented
175#2428C2214yes—
176#2427C2214yes—
177#2421C2214yescomplemented
178#2416C2212yes—
179#2416C2212yes—
180#2416C2212yescomplemented
181#2414C2212yes—
182#2414C2214yescomplemented
183#2407C2214yescomplemented
184#2398C2212yes—
185#2398C2214yes—
186#2397C2211yescharacteristic
187#2392C2212yes—
188#2388C2212yes—
189#2388C2212yes—
190#2388C2214yes—
191#2388C2211yescharacteristic
192#2374C2212yes—
193#2372C2214yes—
194#2367C2214yescomplemented
195#2365C2212yescomplemented
196#2364C2214yes—
197#2364C2214yes—
198#2364C2214yes—
199#2364C2214yes—
200#2364C2214yescomplemented
201#2364C2214yescomplemented
202#2363C2212yescomplemented
203#2361C2212yes—
204#2361C2214yes—
205#2361C2214yes—
206#2360C2214yes—
207#2360C2214yes—
208#2357C2212yescomplemented
209#2352C2212yes—
210#2352C2212yes—
211#2352C2212yes—
212#2352C2212yes—
213#2352C2212yes—
214#2352C2212yes—
215#2352C2212yes—
216#2352C2212yescomplemented
217#2352C2212yescomplemented
218#2352C2212yescomplemented
219#2352C2212yescomplemented
220D4×C4⋊C4C2212yes—
221D4×C4⋊C4C2212yes—
222D4×C4⋊C4C2212yes—
223D4×C4⋊C4C2212yes—
224#2347C2212yes—
225#2346C2212yescomplemented
226#2346C2211yescharacteristic, complemented
227#2345C2211yescharacteristic
228#2345C2212yescomplemented
229#2343C2214yescomplemented
230#2337C2214yescomplemented
231#2333C2214yes—
232#2331C2212yescomplemented
233#2328C2214yes—
234#2327C2214yescomplemented
235#2324C2212yes—
236#2322C2214yes—
237#2322C2214yes—
238#2317C2212yes—
239#2311C2212yes—
240#2311C2212yes—
241#2311C2212yescomplemented
242C4×#124C2214yes—
243C4×#124C2214yes—
244C4×#124C2214yes—
245C4×#124C2214yescomplemented
246C4×#121C2212yes—
247C4×#121C2212yescomplemented
248C4×#120C2211yescharacteristic
249C4×#120C2212yes—
250C4×#120C2214yes—
251C4×#120C2214yes—
252#2298C2214yescomplemented
253#2290C2212yes—
254C2×#382C2212yescomplemented
255#2280C2212yes—
256#2275C2211yescharacteristic, complemented
257#2274C2212yes—
258C4×#117C2212yescomplemented
259C22×#41C2312yes—
260C22×#41C2311yescharacteristic
261C22×#41C2312yes—
262C24×C4C2311yescharacteristic
263C24×C4C2312yes—
264#555—216no—
265#553—44no—
266#547—44no—
267#532—216no—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2311yescharacteristic
271C2×#127C2312yes—
272C2×#126C2312yes—
273C2×#126C2314yes—
274C2×#125C2311yescharacteristic
275C2×#124C2314yes—
276C2×#124C2314yes—
277C2×#124C2312yes—
278C2×#124C2312yes—
279C2×#124C2314yes—
280#525—216no—
281C2×#123C2312yes—
282C2×#123C2312yes—
283C2×#123C2314yes—
284C2×#123C2312yes—
285C2×#123C2312yes—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2314yes—
291C2×#121C2312yes—
292C2×#121C2314yes—
293C2×#121C2312yes—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2311yescharacteristic
302C2×#121C2312yes—
303C2×#121C2311yescharacteristic
304C2×#121C2314yes—
305C2×#121C2312yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#120C2312yes—
310C2×#120C2312yes—
311C2×#120C2312yes—
312C2×#120C2311yescharacteristic
313#520—48no—
314#520—44no—
315C2×C4×Q8C2312yes—
316C2×C4×Q8C2314yes—
317C2×C4×Q8C2314yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2312yes—
329C2×C4×D4C2314yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2312yes—
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2314yes—
345C2×#117C2311yescharacteristic
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2312yes—
349C22×C4⋊C4—44no—
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2314yes—
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C42C2312yes—
361#401C2314yes—
362#400C2312yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#399C2311yescharacteristic
374#399C2314yes—
375#399C2311yescharacteristic
376#399C2312yes—
377#399C2312yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2312yes—
382#398C2314yes—
383#398C2312yes—
384#398C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2312yes—
388#397C2312yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2312yes—
397#397C2314yes—
398#397C2312yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#396C2312yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2312yes—
408#395C2312yes—
409#395C2314yes—
410#395C2311yescharacteristic
411#395C2312yes—
412#395C2312yes—
413#395C2314yes—
414#394C2312yes—
415#394C2314yes—
416#394C2314yes—
417#394C2312yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2312yes—
423#394C2312yes—
424#394C2314yes—
425#394C2311yescharacteristic
426#394C2312yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2312yes—
431#394C2314yes—
432#394C2312yes—
433#394C2312yes—
434#394C2314yes—
435#394C2314yes—
436#393C2312yes—
437#393C2312yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2312yes—
443#393C2314yes—
444#393C2311yescharacteristic
445#393C2312yes—
446#392C2314yes—
447#392C2312yes—
448#392C2312yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2312yes—
453#392C2311yescharacteristic
454#392C2312yes—
455#392C2311yescharacteristic
456#392C2312yes—
457#392C2314yes—
458#392C2314yes—
459#392C2312yes—
460#392C2312yes—
461#392C2311yescharacteristic
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#390C2312yes—
472#390C2314yes—
473#390C2314yes—
474#390C2314yes—
475#390C2314yes—
476#390C2314yes—
477#390C2312yes—
478#390C2314yes—
479#390C2312yes—
480#390C2314yes—
481#390C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2312yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
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#388C2312yes—
533#388C2314yes—
534#388C2312yes—
535#388C2312yes—
536#388C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
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#387C2314yes—
560#387C2314yes—
561#387C2312yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2312yes—
567#386C2312yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2312yes—
577#386C2314yes—
578#386C2312yes—
579#386C2312yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2312yes—
584#386C2314yes—
585#386C2312yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2312yes—
592#386C2314yes—
593#386C2314yes—
594#386C2311yescharacteristic
595#386C2312yes—
596#386C2312yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2311yescharacteristic
615#385C2314yes—
616#385C2312yes—
617#385C2314yes—
618#385C2312yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2312yes—
624#385C2312yes—
625#384C2312yes—
626#384C2312yes—
627#383C2314yes—
628#383C2314yes—
629#383C2314yes—
630#382C2312yes—
631#382C2314yes—
632#382C2312yes—
633#382C2312yes—
634#382C2312yes—
635#382C2312yes—
636#382C2314yes—
637#382C2312yes—
638#382C2312yes—
639#382C2314yes—
640#382C2314yes—
641#382C2314yes—
642#381C2312yes—
643#381C2314yes—
644#381C2314yes—
645#380C2312yes—
646#380C2312yes—
647#380C2312yes—
648#380C2312yes—
649#380C2311yescharacteristic
650#380C2312yes—
651#380C2312yes—
652#380C2312yes—
653#380C2314yes—
654#380C2314yes—
655#380C2314yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2314yes—
663#380C2312yes—
664#380C2311yescharacteristic
665#380C2314yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#379C2314yes—
670#379C2311yescharacteristic
671C4×C4⋊C4C2311yescharacteristic
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2311yescharacteristic
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712#376C2314yes—
713#376C2311yescharacteristic
714#376C2314yes—
715#376C2312yes—
716C2×#95C2312yes—
717C2×#95C2314yes—
718C2×#95C2314yes—
719C43C2314yes—
720C25C2411yescharacteristic
721C2×#41—28no—
722C2×#41—28no—
723C2×#41—28no—
724C2×#41—44no—
725C2×#41—42no—
726C2×#41—44no—
727C2×#41—84no—
728C22×Q8C2412yes—
729C22×Q8C2411yescharacteristic
730C22×Q8C2414yes—
731C22×Q8C2412yes—
732C22×D4C2411yescharacteristic
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2412yes—
737C22×D4C2411yescharacteristic
738C22×D4C2412yes—
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2414yes—
743C22×D4C2412yes—
744C22×D4C2411yescharacteristic
745C22×D4C2414yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2411yescharacteristic
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C23×C4—28no—
753C23×C4—42no—
754C23×C4—44no—
755C23×C4—84no—
756C23×C4C2411yescharacteristic
757C23×C4C2412yes—
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764C23×C4C2412yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2414yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2412yes—
775C4⋊Q8—28no—
776C4⋊Q8—28no—
777C4⋊Q8—42no—
778#127—28no—
779#126—44no—
780#126—84no—
781#125—42no—
782#124—28no—
783#124—28no—
784#124—216no—
785#124—216no—
786#124—48no—
787#123—28no—
788#123—28no—
789#123—44no—
790#123—48no—
791#123—44no—
792C22⋊Q8—28no—
793C22⋊Q8—28no—
794C22⋊Q8—44no—
795C22⋊Q8—84no—
796C22⋊Q8—84no—
797#121—28no—
798#121—28no—
799#121—216no—
800#121—28no—
801#121—28no—
802#121—28no—
803#121—28no—
804#121—28no—
805#121—28no—
806#121—44no—
807#121—44no—
808#121—48no—
809#121—44no—
810#121—42no—
811#121—42no—
812#121—84no—
813#121—84no—
814#121—84no—
815#120—28no—
816#120—28no—
817#120—42no—
818#120—44no—
819C4×Q8—44no—
820C4×Q8—48no—
821C4×Q8—84no—
822C4×D4—28no—
823C4×D4—28no—
824C4×D4—28no—
825C4×D4—28no—
826C4×D4—24no—
827C4×D4—28no—
828C4×D4—28no—
829C4×D4—28no—
830C4×D4—48no—
831C4×D4—44no—
832C4×D4—48no—
833C4×D4—42no—
834C4×D4—44no—
835C4×D4—42no—
836C4×D4—48no—
837C4×D4—48no—
838C4×D4—84no—
839C4×D4—84no—
840C4×D4—84no—
841C4×D4—84no—
842C4×D4—84no—
843C4×D4—84no—
844C4×D4#41116yescomplemented
845#117—28no—
846#117—28no—
847#117—216no—
848#117—28no—
849#117—24no—
850#117—28no—
851#117—44no—
852#117—44no—
853C2×C4⋊C4—28no—
854C2×C4⋊C4—24no—
855C2×C4⋊C4—28no—
856C2×C4⋊C4—42no—
857C2×C4⋊C4—44no—
858C2×C4⋊C4—44no—
859C2×C4⋊C4—48no—
860C2×C4⋊C4—44no—
861C2×C4⋊C4—42no—
862C2×C4⋊C4—44no—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2411yescharacteristic
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2411yescharacteristic
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2411yescharacteristic
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2411yescharacteristic
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C42—28no—
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2412yes—
976C2×C42C2412yes—
977C2×C42C2411yescharacteristic
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2412yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2414yes—
984C2×C42C2414yes—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2414yes—
988C2×C42C2414yes—
989C2×C42C2414yes—
990C2×C42C2412yes—
991C2×C42C2412yes—
992#95C2411yescharacteristic
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2412yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2411yescharacteristic
1005#95C2414yes—
1006#95C2411yescharacteristic
1007#95C2412yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2412yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2411yescharacteristic
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049C24—24no—
1050C24—22no—
1051C24—41no—
1052C24—42no—
1053C24—41no—
1054C24C2512yes—
1055C24C2511yescharacteristic
1056C24C2512yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2511yescharacteristic
1060#41—432no—
1061#41—416no—
1062#41—816no—
1063C2×Q8—24no—
1064C2×Q8—24no—
1065C2×Q8—24no—
1066C2×Q8—28no—
1067C2×Q8—41no—
1068C2×Q8—42no—
1069C2×Q8—44no—
1070C2×Q8—42no—
1071C2×Q8—44no—
1072C2×Q8—44no—
1073C2×D4—24no—
1074C2×D4—24no—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—24no—
1088C2×D4—22no—
1089C2×D4—24no—
1090C2×D4—24no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—22no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—41no—
1100C2×D4—42no—
1101C2×D4—41no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—41no—
1110C2×D4—42no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—42no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—44no—
1128C2×D4C2×#4118yes—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—22no—
1141C22×C4—24no—
1142C22×C4—22no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—28no—
1146C22×C4—28no—
1147C22×C4—24no—
1148C22×C4—28no—
1149C22×C4—24no—
1150C22×C4—41no—
1151C22×C4—42no—
1152C22×C4—416no—
1153C22×C4—42no—
1154C22×C4—44no—
1155C22×C4—42no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—42no—
1166C22×C4—44no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—44no—
1170C22×C4—42no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—44no—
1179C22×C4—816no—
1180C22×C4C2×#4118yes—
1181C22×C4C2×#4118yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2514yes—
1186C22×C4C2514yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2514yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2514yes—
1197C22×C4C2514yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—28no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—28no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—44no—
1226C4⋊C4—42no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—42no—
1230C4⋊C4—41no—
1231C4⋊C4—42no—
1232C4⋊C4—41no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—42no—
1240C4⋊C4—44no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4C2×#4118yes—
1250C4⋊C4H(5,𝔽2)14yes—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—24no—
1254C22⋊C4—24no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—22no—
1258C22⋊C4—24no—
1259C22⋊C4—28no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—24no—
1265C22⋊C4—24no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—24no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—24no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—41no—
1277C22⋊C4—44no—
1278C22⋊C4—42no—
1279C22⋊C4—44no—
1280C22⋊C4—42no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—41no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—41no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4C2×#4118yes—
1312C22⋊C4C2×#4118yes—
1313C42—24no—
1314C42—24no—
1315C42—24no—
1316C42—28no—
1317C42—28no—
1318C42—24no—
1319C42—28no—
1320C42—24no—
1321C42—22no—
1322C42—42no—
1323C42—44no—
1324C42—44no—
1325C42—44no—
1326C42—44no—
1327C42—44no—
1328C42—44no—
1329C42—44no—
1330C42—44no—
1331C42—44no—
1332C42C2×#4118yes—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—21no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—21no—
1349C23—24no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—21no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—21no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—24no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—21no—
1366C23—44no—
1367C23—48no—
1368C23—48no—
1369C23—44no—
1370C23—44no—
1371C23C22×#4114yes—
1372C23C22×#4114yes—
1373C23#58512yes—
1374C23C2611yescharacteristic
1375Q8—48no—
1376Q8—44no—
1377Q8—88no—
1378Q8—84no—
1379D4—48no—
1380D4—48no—
1381D4—48no—
1382D4—48no—
1383D4—48no—
1384D4—48no—
1385D4—48no—
1386D4—44no—
1387D4—48no—
1388D4—44no—
1389D4—44no—
1390D4—84no—
1391D4—84no—
1392D4—84no—
1393D4—88no—
1394D4—88no—
1395D4—84no—
1396D4—82no—
1397D4—88no—
1398D4—162no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—216no—
1409C2×C4—216no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—24no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—21no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—44no—
1458C2×C4—48no—
1459C2×C4—44no—
1460C2×C4—48no—
1461C2×C4—44no—
1462C2×C4—84no—
1463C2×C4—84no—
1464C2×C4—88no—
1465C2×C4—88no—
1466C2×C4—84no—
1467C2×C4—84no—
1468C2×C4—88no—
1469C2×C4—84no—
1470C2×C4—88no—
1471C2×C4—164no—
1472C2×C4—162no—
1473C2×C4—164no—
1474C2×C4C22×#4114yes—
1475C2×C4C22×#4114yes—
1476C2×C4C22×#4114yes—
1477C2×C4C22×#4114yes—
1478C2×C4C22×#4114yes—
1479C2×C4C2×H(5,𝔽2)14yes—
1480C2×C4C2×H(5,𝔽2)12yes—
1481C22—24no—
1482C22—24no—
1483C22—24no—
1484C22—24no—
1485C22—24no—
1486C22—22no—
1487C22—24no—
1488C22—24no—
1489C22—416no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—41no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—41no—
1501C22—42no—
1502C22—44no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—41no—
1508C22—44no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—41no—
1513C22—42no—
1514C22—42no—
1515C22—41no—
1516C22—42no—
1517C22—42no—
1518C22C23×#4112yes—
1519C22C22×H(5,𝔽2)11yescharacteristic
1520C22C2×#58511yescharacteristic
1521C22H(7,𝔽2)12yes—
1522C222−1+611yescharacteristic
1523C4—24no—
1524C4—24no—
1525C4—24no—
1526C4—24no—
1527C4—24no—
1528C4—42no—
1529C4—42no—
1530C4—44no—
1531C4—44no—
1532C4—44no—
1533C4—42no—
1534C4—41no—
1535C4—44no—
1536C4—42no—
1537C4—44no—
1538C4—42no—
1539C4—44no—
1540C4—42no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—42no—
1545C4#348114yes—
1546C2—44no—
1547C2—42no—
1548C2—44no—
1549C2—82no—
1550C2—82no—
1551C2—81no—
1552C2C2×#348111yescharacteristic
1553C2#6285612yes—
1554C2#6291911yescharacteristic
1555C2#6300812yes—
1556C2#6304511yescharacteristic
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. #60032C2semidirect
2. #59795C2semidirect
3. #59308C2semidirect
4. #59201C2semidirect
5. #52294C2semidirect
6. #52096C2semidirect
7. #45433C2semidirect
8. #45160C2semidirect
9. #45125C2semidirect
10. #44914C2semidirect
11. #44824C2semidirect
12. #44325C2semidirect
13. #44171C2semidirect
14. #43430C2semidirect
15. #40432C2semidirect
16. #40382C2semidirect
17. #39469C2semidirect
18. #38843C2semidirect
19. #37875C2semidirect
20. #37845C2semidirect
21. #36581C2semidirect
22. #36449C2semidirect
23. #36083C2semidirect
24. #35923C2semidirect
25. #35770C2semidirect
26. #35682C2semidirect
27. #34306C2semidirect
28. #34208C2semidirect
29. #34200C2semidirect
32. C2×#547C22semidirect
36. C2×#520C22semidirect
38. #2863C22semidirect
39. #2857C22semidirect
42. #2800C22semidirect
43. #2782C22semidirect
45. #2774C22semidirect
46. #2772C22semidirect
50. #2762C22semidirect
51. #2756C22semidirect
52. #2755C22semidirect
53. #2754C22semidirect
57. #2752C22semidirect
58. #2739C22semidirect
60. #2723C22semidirect
63. #2712C22semidirect
71. #2676C22semidirect
82. #2663C22semidirect
83. #2660C22semidirect
85. #2637C22semidirect
89. #2615C22semidirect
90. #2612C22semidirect
91. #2607C22semidirect
93. #2603C22semidirect
94. #2602C22semidirect
95. #2597C22semidirect
96. #2595C22semidirect
102. #2578C22semidirect
104. #2574C22semidirect
106. #2571C22semidirect
107. #2570C22semidirect
111. #2563C22semidirect
112. #2562C22semidirect
114. #2559C22semidirect
118. #2553C22semidirect
119. #2549C22semidirect
122. #2537C22semidirect
126. #2532C22semidirect
129. #2530C22semidirect
130. #2528C22semidirect
132. #2518C22semidirect
133. #2518C22semidirect
137. #2510C22semidirect
138. #2505C22semidirect
140. #2504C22semidirect
141. #2500C22semidirect
142. #2496C22semidirect
144. #2495C22semidirect
145. #2494C22semidirect
151. #2485C22semidirect
152. #2485C22semidirect
156. #2469C22semidirect
158. #2465C22semidirect
163. #2458C22semidirect
164. #2457C22semidirect
167. #2444C22semidirect
170. #2442C22semidirect
171. #2440C22semidirect
173. #2439C22semidirect
174. #2430C22semidirect
177. #2421C22semidirect
180. #2416C22semidirect
182. #2414C22semidirect
183. #2407C22semidirect
194. #2367C22semidirect
195. #2365C22semidirect
200. #2364C22semidirect
201. #2364C22semidirect
202. #2363C22semidirect
208. #2357C22semidirect
216. #2352C22semidirect
217. #2352C22semidirect
218. #2352C22semidirect
219. #2352C22semidirect
225. #2346C22semidirect
226. #2346C22semidirect
228. #2345C22semidirect
229. #2343C22semidirect
230. #2337C22semidirect
232. #2331C22semidirect
234. #2327C22semidirect
241. #2311C22semidirect
245. C4×#124C22semidirect
247. C4×#121C22semidirect
252. #2298C22semidirect
254. C2×#382C22semidirect
256. #2275C22semidirect
258. C4×#117C22semidirect
844. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#600322
#597952
#593082
#592012
#522942
#520962
#454332
#451602
#451252
#449142
#448242
#443252
#441712
#434302
#404322
#403822
#394692
#388432
#378752
#378452
#365812
#364492
#360832
#359232
#357702
#356822
#343062
#342082
#342002