Finite Group Databasebeta

← #8726604

Subgroups — #8726604

Order 512.

5232 conjugacy classes of subgroups.

The subgroup lattice has 1581 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59810C212yesmaximal, complemented
2#59100C212yesmaximal, complemented
3#59050C212yesmaximal, complemented
4#59002C212yesmaximal, complemented
5#59001C211yesmaximal, characteristic, complemented
6#57488C214yesmaximal, complemented
7#56370C214yesmaximal, complemented
8#53748C212yesmaximal, complemented
9#53503C214yesmaximal, complemented
10#53137C211yesmaximal, characteristic, complemented
11#53088C212yesmaximal, complemented
12#52292C211yesmaximal, characteristic, complemented
13#47621C212yesmaximal, complemented
14#46538C214yesmaximal, complemented
15#45241C212yesmaximal, complemented
16#45047C211yesmaximal, characteristic, complemented
17#44970C214yesmaximal, complemented
18#43403C212yesmaximal, complemented
19#42912C211yesmaximal, characteristic, complemented
20#42761C212yesmaximal, complemented
21#42235C214yesmaximal, complemented
22#41289C212yesmaximal, complemented
23#40146C212yesmaximal, complemented
24#39961C212yesmaximal, complemented
25#39886C212yesmaximal, complemented
26#39854C212yesmaximal, complemented
27#39723C211yesmaximal, characteristic, complemented
28#36066C211yesmaximal, characteristic, complemented
29#35901C212yesmaximal, complemented
30C2×#555C2212yes—
31C2×#550C2211yescharacteristic, complemented
32C2×#550C2212yescomplemented
33C2×#548C2211yescharacteristic
34C2×#548C2212yes—
35C2×#548C2212yes—
36C2×#547C2212yes—
37C2×#536C2211yescharacteristic, complemented
38C2×#533C2212yescomplemented
39C2×#525C2212yes—
40C22×C22⋊Q8C2211yescharacteristic
41#2850C2212yescomplemented
42#2847C2211yescharacteristic
43#2838C2214yescomplemented
44#2828C2214yes—
45#2828C2214yes—
46#2826C2212yescomplemented
47#2826C2214yescomplemented
48#2825C2214yes—
49#2824C2212yes—
50#2817C2212yescomplemented
51#2813C2214yes—
52#2807C2211yescharacteristic
53#2807C2212yescomplemented
54#2804C2212yescomplemented
55#2796C2212yes—
56#2780C2212yes—
57#2778C2212yes—
58#2778C2214yes—
59#2778C2214yescomplemented
60#2778C2214yescomplemented
61#2761C2214yescomplemented
62#2756C2214yes—
63#2756C2214yescomplemented
64#2753C2214yes—
65#2752C2214yes—
66#2749C2214yescomplemented
67#2746C2212yes—
68#2742C2212yes—
69#2738C2214yescomplemented
70#2735C2211yescharacteristic
71#2730C2214yes—
72#2730C2214yes—
73#2730C2214yescomplemented
74#2728C2214yes—
75#2720C2214yescomplemented
76#2717C2214yescomplemented
77#2712C2212yes—
78#2711C2214yes—
79#2710C2214yes—
80#2710C2214yescomplemented
81#2709C2214yes—
82#2709C2214yescomplemented
83#2708C2214yes—
84#2708C2214yescomplemented
85#2703C2214yes—
86#2703C2214yes—
87#2700C2214yescomplemented
88#2693C2211yescharacteristic
89#2693C2214yescomplemented
90#2692C2214yescomplemented
91#2688C2214yes—
92#2688C2212yes—
93#2686C2214yescomplemented
94#2682C2214yes—
95#2681C2214yescomplemented
96#2680C2214yes—
97#2678C2212yes—
98#2676C2214yes—
99#2676C2214yes—
100#2673C2214yes—
101#2673C2214yes—
102#2673C2214yes—
103#2672C2214yes—
104#2672C2214yes—
105#2670C2212yes—
106#2670C2214yes—
107#2669C2214yes—
108#2669C2212yes—
109#2668C2211yescharacteristic
110#2661C2214yes—
111#2659C2212yescomplemented
112#2657C2212yescomplemented
113#2657C2211yescharacteristic, complemented
114#2651C2214yes—
115#2651C2214yescomplemented
116#2650C2214yes—
117#2645C2212yescomplemented
118#2638C2212yes—
119#2632C2214yes—
120#2631C2214yes—
121#2630C2214yescomplemented
122#2625C2211yescharacteristic, complemented
123#2617C2212yes—
124#2610C2214yes—
125#2602C2214yes—
126#2598C2214yes—
127#2598C2214yescomplemented
128#2594C2214yes—
129#2593C2212yescomplemented
130#2591C2212yes—
131#2591C2214yescomplemented
132#2588C2214yescomplemented
133#2579C2212yes—
134#2564C2212yes—
135#2556C2214yescomplemented
136#2555C2214yes—
137#2547C2212yescomplemented
138#2545C2212yescomplemented
139#2544C2214yes—
140#2544C2214yes—
141#2544C2214yescomplemented
142#2544C2212yescomplemented
143#2543C2214yes—
144#2542C2212yes—
145#2541C2212yes—
146#2541C2211yescharacteristic
147#2541C2214yes—
148#2541C2212yes—
149#2540C2212yes—
150#2540C2212yescomplemented
151#2540C2214yescomplemented
152#2540C2211yescharacteristic, complemented
153#2540C2212yescomplemented
154#2536C2212yes—
155#2533C2214yescomplemented
156#2532C2214yes—
157#2531C2214yescomplemented
158#2529C2214yes—
159#2514C2214yescomplemented
160#2513C2214yescomplemented
161#2508C2212yescomplemented
162#2504C2211yescharacteristic
163#2492C2212yes—
164#2491C2212yes—
165#2491C2212yescomplemented
166#2490C2214yes—
167#2487C2211yescharacteristic
168#2485C2212yescomplemented
169#2476C2214yes—
170#2476C2214yescomplemented
171#2474C2214yescomplemented
172#2465C2214yescomplemented
173#2463C2212yes—
174#2461C2214yes—
175#2461C2214yes—
176#2461C2214yes—
177#2460C2214yes—
178#2459C2214yes—
179#2457C2214yes—
180#2456C2214yes—
181#2455C2212yes—
182#2451C2212yescomplemented
183#2449C2214yes—
184#2449C2214yescomplemented
185#2448C2214yes—
186#2448C2212yescomplemented
187#2448C2214yescomplemented
188#2446C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2214yescomplemented
191#2445C2212yescomplemented
192#2443C2214yes—
193#2443C2214yescomplemented
194#2441C2214yescomplemented
195#2434C2212yes—
196#2434C2211yescharacteristic, complemented
197#2432C2212yes—
198#2432C2212yescomplemented
199#2431C2212yes—
200#2431C2212yes—
201#2429C2212yes—
202#2428C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2426C2212yescomplemented
208#2424C2214yes—
209#2421C2212yes—
210#2420C2212yescomplemented
211#2418C2214yes—
212#2417C2212yes—
213#2415C2212yes—
214#2415C2212yes—
215#2415C2212yescomplemented
216#2414C2214yes—
217#2414C2212yes—
218#2414C2212yes—
219#2409C2211yescharacteristic
220#2409C2212yescomplemented
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2402C2214yescomplemented
225#2401C2212yes—
226#2397C2211yescharacteristic
227#2397C2212yes—
228#2395C2211yescharacteristic
229#2392C2212yes—
230#2369C2212yescomplemented
231#2367C2214yes—
232#2366C2212yes—
233#2365C2212yescomplemented
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yescomplemented
237#2361C2212yes—
238#2359C2214yescomplemented
239#2356C2212yescomplemented
240#2354C2214yescomplemented
241D4×C4⋊C4C2214yes—
242#2347C2212yes—
243Q8×C22⋊C4C2211yescharacteristic
244#2339C2211yescharacteristic, complemented
245#2328C2214yes—
246#2326C2214yescomplemented
247#2324C2214yes—
248#2324C2212yescomplemented
249#2322C2214yescomplemented
250#2321C2212yes—
251C4×#123C2212yes—
252C4×#121C2212yes—
253C4×#121C2212yes—
254C4×#121C2212yescomplemented
255C4×#120C2211yescharacteristic
256C4×#120C2212yes—
257#2297C2212yescomplemented
258#2276C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C22×#41C2312yes—
262C23×Q8C2311yescharacteristic
263C23×Q8C2311yescharacteristic
264C24×C4C2311yescharacteristic
265#555—48no—
266#550—48no—
267#550—44no—
268#548—48no—
269#548—48no—
270#548—44no—
271#547—48no—
272#536—44no—
273#533—48no—
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2312yes—
277C2×#127C2314yes—
278C2×#127C2312yes—
279C2×#127C2314yes—
280C2×#127C2312yes—
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283C2×#125C2314yes—
284C2×#124C2314yes—
285C2×#124C2312yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#124C2311yescharacteristic
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2312yes—
295#525—48no—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×C22⋊Q8—44no—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2311yescharacteristic
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#120C2312yes—
338C2×#120C2311yescharacteristic
339C2×#120C2314yes—
340C2×#120C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2314yes—
345C2×C4×Q8C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2311yescharacteristic
367C2×#117C2314yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2314yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C22⋊C4C2312yes—
373C22×C42C2312yes—
374#401C2314yes—
375#401C2312yes—
376#400C2311yescharacteristic
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#399C2311yescharacteristic
390#399C2314yes—
391#399C2312yes—
392#399C2312yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2311yescharacteristic
398#399C2312yes—
399#399C2311yescharacteristic
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2311yescharacteristic
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2312yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2311yescharacteristic
424#397C2312yes—
425#397C2312yes—
426#397C2314yes—
427#397C2312yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2312yes—
432#396C2314yes—
433#396C2312yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#395C2312yes—
439#395C2312yes—
440#395C2314yes—
441#395C2312yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2312yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#392C2311yescharacteristic
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2311yescharacteristic
489#392C2312yes—
490#392C2312yes—
491#392C2312yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2312yes—
504#392C2312yes—
505#392C2312yes—
506#392C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2314yes—
618#386C2312yes—
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2311yescharacteristic
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2311yescharacteristic
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#384C2314yes—
671#383C2314yes—
672#383C2314yes—
673#382C2314yes—
674#382C2312yes—
675#381C2312yes—
676#381C2314yes—
677#381C2312yes—
678#380C2314yes—
679#380C2312yes—
680#380C2314yes—
681#380C2312yes—
682#380C2311yescharacteristic
683#380C2312yes—
684#380C2311yescharacteristic
685#380C2314yes—
686#380C2314yes—
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2312yes—
691#379C2311yescharacteristic
692#379C2312yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2311yescharacteristic
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719#376C2314yes—
720#376C2311yescharacteristic
721#376C2312yes—
722C2×#95C2312yes—
723C25C2411yescharacteristic
724C2×#41—24no—
725C2×#41—28no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—44no—
732C22×Q8—24no—
733C22×Q8—42no—
734C22×Q8—44no—
735C22×Q8—44no—
736C22×Q8C2411yescharacteristic
737C22×Q8C2412yes—
738C22×Q8C2411yescharacteristic
739C22×Q8C2414yes—
740C22×Q8C2412yes—
741C22×Q8C2412yes—
742C22×D4C2411yescharacteristic
743C22×D4C2412yes—
744C22×D4C2414yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2411yescharacteristic
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C23×C4—42no—
766C23×C4—44no—
767C23×C4C2411yescharacteristic
768C23×C4C2412yes—
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2412yes—
774C23×C4C2414yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2411yescharacteristic
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C4⋊Q8—28no—
784C4⋊Q8—28no—
785C4⋊Q8—44no—
786#127—44no—
787#127—42no—
788#127—48no—
789#127—44no—
790#127—44no—
791#127—48no—
792#125—48no—
793#124—48no—
794#124—48no—
795#124—48no—
796#124—44no—
797#124—44no—
798#124—44no—
799#124—42no—
800#124—44no—
801#124—48no—
802#124—48no—
803#124—48no—
804#123—48no—
805#123—48no—
806#123—44no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—48no—
811C22⋊Q8—28no—
812C22⋊Q8—28no—
813C22⋊Q8—28no—
814C22⋊Q8—48no—
815C22⋊Q8—48no—
816C22⋊Q8—48no—
817C22⋊Q8—48no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823C22⋊Q8—44no—
824C22⋊Q8—42no—
825C22⋊Q8—44no—
826#121—28no—
827#121—28no—
828#121—28no—
829#121—48no—
830#121—44no—
831#121—48no—
832#121—48no—
833#121—48no—
834#121—48no—
835#121—48no—
836#121—48no—
837#121—44no—
838#121—44no—
839#121—42no—
840#121—44no—
841#121—44no—
842#121—48no—
843#121—44no—
844#120—44no—
845#120—48no—
846#120—42no—
847#120—44no—
848C4×Q8—24no—
849C4×Q8—28no—
850C4×Q8—28no—
851C4×Q8—44no—
852C4×Q8—48no—
853C4×D4—48no—
854C4×D4—48no—
855C4×D4—48no—
856C4×D4—48no—
857C4×D4—44no—
858C4×D4—48no—
859C4×D4—48no—
860C4×D4—44no—
861C4×D4—48no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—42no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—42no—
869C4×D4—44no—
870C4×D4—44no—
871#117—28no—
872#117—42no—
873#117—48no—
874#117—48no—
875#117—44no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4—42no—
878C2×C4⋊C4—48no—
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⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C22⋊C4—44no—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2411yescharacteristic
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C42—44no—
994C2×C42C2414yes—
995C2×C42C2412yes—
996C2×C42C2414yes—
997C2×C42C2412yes—
998C2×C42C2411yescharacteristic
999C2×C42C2414yes—
1000C2×C42C2412yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011#95C2411yescharacteristic
1012#95C2414yes—
1013#95C2412yes—
1014#95C2411yescharacteristic
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2411yescharacteristic
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2411yescharacteristic
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064C24—22no—
1065C24—41no—
1066C24—41no—
1067C24—42no—
1068C24—42no—
1069C24C2512yes—
1070C24C2512yes—
1071C24C2514yes—
1072C24C2512yes—
1073C24C2511yescharacteristic
1074C24C2511yescharacteristic
1075#41—88no—
1076#41—816no—
1077#41—816no—
1078C2×Q8—24no—
1079C2×Q8—24no—
1080C2×Q8—24no—
1081C2×Q8—24no—
1082C2×Q8—22no—
1083C2×Q8—24no—
1084C2×Q8—28no—
1085C2×Q8—24no—
1086C2×Q8—42no—
1087C2×Q8—44no—
1088C2×Q8—44no—
1089C2×Q8—44no—
1090C2×Q8—44no—
1091C2×Q8—88no—
1092C2×Q8—88no—
1093C2×Q8H(5,𝔽2)14yes—
1094C2×D4—28no—
1095C2×D4—22no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—28no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—22no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—41no—
1116C2×D4—42no—
1117C2×D4—44no—
1118C2×D4—41no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—44no—
1145C2×D4—41no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C22×C4—24no—
1160C22×C4—22no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—22no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—28no—
1172C22×C4—24no—
1173C22×C4—28no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—41no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—88no—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—41no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—41no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4H(5,𝔽2)18yes—
1268C22⋊C4—22no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—24no—
1283C22⋊C4—44no—
1284C22⋊C4—41no—
1285C22⋊C4—44no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—41no—
1297C22⋊C4—44no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—41no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C42—24no—
1338C42—24no—
1339C42—28no—
1340C42—24no—
1341C42—28no—
1342C42—28no—
1343C42—24no—
1344C42—22no—
1345C42—24no—
1346C42—28no—
1347C42—42no—
1348C42—42no—
1349C42—44no—
1350C42—44no—
1351C42—44no—
1352C42—42no—
1353C42—44no—
1354C23—22no—
1355C23—21no—
1356C23—22no—
1357C23—21no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—24no—
1363C23—24no—
1364C23—24no—
1365C23—22no—
1366C23—21no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—24no—
1371C23—24no—
1372C23—22no—
1373C23—24no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—24no—
1379C23—24no—
1380C23—22no—
1381C23—22no—
1382C23—21no—
1383C23—22no—
1384C23—21no—
1385C23—24no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—44no—
1390C23—84no—
1391C23—82no—
1392C23—82no—
1393C23—84no—
1394C23#58512yes—
1395C23C2611yescharacteristic
1396Q8—28no—
1397Q8—44no—
1398Q8—48no—
1399Q8—88no—
1400Q8—84no—
1401Q8—84no—
1402D4—416no—
1403D4—44no—
1404D4—48no—
1405D4—88no—
1406D4—88no—
1407D4—84no—
1408D4—84no—
1409D4—88no—
1410D4—84no—
1411D4—84no—
1412D4—82no—
1413D4—84no—
1414D4—84no—
1415D4—84no—
1416D4—82no—
1417D4—88no—
1418D4—88no—
1419D4—84no—
1420D4—88no—
1421D4—164no—
1422D4—164no—
1423D4—164no—
1424D4—162no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—48no—
1484C2×C4—44no—
1485C2×C4—48no—
1486C2×C4—44no—
1487C2×C4—48no—
1488C2×C4—88no—
1489C2×C4—84no—
1490C2×C4—88no—
1491C2×C4—84no—
1492C2×C4—84no—
1493C2×C4—84no—
1494C2×C4—88no—
1495C2×C4—82no—
1496C2×C4—84no—
1497C2×C4—84no—
1498C2×C4—88no—
1499C2×C4C2×H(5,𝔽2)18yes—
1500C2×C4C2×H(5,𝔽2)14yes—
1501C2×C4C2×H(5,𝔽2)12yes—
1502C2×C4C2×H(5,𝔽2)14yes—
1503C2×C4#58514yes—
1504C22—24no—
1505C22—22no—
1506C22—41no—
1507C22—41no—
1508C22—42no—
1509C22—41no—
1510C22—42no—
1511C22—42no—
1512C22—44no—
1513C22—42no—
1514C22—42no—
1515C22—44no—
1516C22—42no—
1517C22—42no—
1518C22—44no—
1519C22—44no—
1520C22—42no—
1521C22—42no—
1522C22—44no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—41no—
1527C22—42no—
1528C22—44no—
1529C22—42no—
1530C22—42no—
1531C22—44no—
1532C22—44no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—41no—
1537C22—42no—
1538C22—44no—
1539C22—42no—
1540C22—88no—
1541C22C22×H(5,𝔽2)12yes—
1542C22C22×H(5,𝔽2)11yescharacteristic
1543C22C2×#58511yescharacteristic
1544C22C2×#58512yes—
1545C222−1+611yescharacteristic
1546C4—24no—
1547C4—28no—
1548C4—24no—
1549C4—42no—
1550C4—42no—
1551C4—41no—
1552C4—41no—
1553C4—44no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—44no—
1559C4—44no—
1560C4—42no—
1561C4—41no—
1562C4—42no—
1563C4—44no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—41no—
1568C4#354314yes—
1569C2—42no—
1570C2—81no—
1571C2—82no—
1572C2—84no—
1573C2—82no—
1574C2—82no—
1575C2C2×#354311yescharacteristic
1576C2#6289712yes—
1577C2#6291911yescharacteristic
1578C2#6301812yes—
1579C2#6302211yescharacteristic
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. #59810C2semidirect
2. #59100C2semidirect
3. #59050C2semidirect
4. #59002C2semidirect
5. #59001C2semidirect
6. #57488C2semidirect
7. #56370C2semidirect
8. #53748C2semidirect
9. #53503C2semidirect
10. #53137C2semidirect
11. #53088C2semidirect
12. #52292C2semidirect
13. #47621C2semidirect
14. #46538C2semidirect
15. #45241C2semidirect
16. #45047C2semidirect
17. #44970C2semidirect
18. #43403C2semidirect
19. #42912C2semidirect
20. #42761C2semidirect
21. #42235C2semidirect
22. #41289C2semidirect
23. #40146C2semidirect
24. #39961C2semidirect
25. #39886C2semidirect
26. #39854C2semidirect
27. #39723C2semidirect
28. #36066C2semidirect
29. #35901C2semidirect
31. C2×#550C22semidirect
32. C2×#550C22semidirect
37. C2×#536C22semidirect
38. C2×#533C22semidirect
41. #2850C22semidirect
43. #2838C22semidirect
46. #2826C22semidirect
47. #2826C22semidirect
50. #2817C22semidirect
53. #2807C22semidirect
54. #2804C22semidirect
59. #2778C22semidirect
60. #2778C22semidirect
61. #2761C22semidirect
63. #2756C22semidirect
66. #2749C22semidirect
69. #2738C22semidirect
73. #2730C22semidirect
75. #2720C22semidirect
76. #2717C22semidirect
80. #2710C22semidirect
82. #2709C22semidirect
84. #2708C22semidirect
87. #2700C22semidirect
89. #2693C22semidirect
90. #2692C22semidirect
93. #2686C22semidirect
95. #2681C22semidirect
111. #2659C22semidirect
112. #2657C22semidirect
113. #2657C22semidirect
115. #2651C22semidirect
117. #2645C22semidirect
121. #2630C22semidirect
122. #2625C22semidirect
127. #2598C22semidirect
129. #2593C22semidirect
131. #2591C22semidirect
132. #2588C22semidirect
135. #2556C22semidirect
137. #2547C22semidirect
138. #2545C22semidirect
141. #2544C22semidirect
142. #2544C22semidirect
150. #2540C22semidirect
151. #2540C22semidirect
152. #2540C22semidirect
153. #2540C22semidirect
155. #2533C22semidirect
157. #2531C22semidirect
159. #2514C22semidirect
160. #2513C22semidirect
161. #2508C22semidirect
165. #2491C22semidirect
168. #2485C22semidirect
170. #2476C22semidirect
171. #2474C22semidirect
172. #2465C22semidirect
182. #2451C22semidirect
184. #2449C22semidirect
186. #2448C22semidirect
187. #2448C22semidirect
188. #2446C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
193. #2443C22semidirect
194. #2441C22semidirect
196. #2434C22semidirect
198. #2432C22semidirect
207. #2426C22semidirect
210. #2420C22semidirect
215. #2415C22semidirect
220. #2409C22semidirect
224. #2402C22semidirect
230. #2369C22semidirect
233. #2365C22semidirect
236. #2362C22semidirect
238. #2359C22semidirect
239. #2356C22semidirect
240. #2354C22semidirect
244. #2339C22semidirect
246. #2326C22semidirect
248. #2324C22semidirect
249. #2322C22semidirect
254. C4×#121C22semidirect
257. #2297C22semidirect
258. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#598102
#591002
#590502
#590022
#590012
#574882
#563702
#537482
#535032
#531372
#530882
#522922
#476212
#465382
#452412
#450472
#449702
#434032
#429122
#427612
#422352
#412892
#401462
#399612
#398862
#398542
#397232
#360662
#359012