Finite Group Databasebeta

← #8467053

Subgroups — #8467053

Order 512.

4081 conjugacy classes of subgroups.

The subgroup lattice has 1571 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59679C211yesmaximal, characteristic, complemented
2#59646C211yesmaximal, characteristic
3#59640C211yesmaximal, characteristic
4#58321C214yesmaximal, complemented
5#56041C214yesmaximal, complemented
6#55348C214yesmaximal, complemented
7#53112C212yesmaximal, complemented
8#53089C212yesmaximal, complemented
9#49174C214yesmaximal, complemented
10#46074C212yesmaximal, complemented
11#45513C212yesmaximal, complemented
12#45172C212yesmaximal, complemented
13#45169C212yesmaximal, complemented
14#42742C212yesmaximal, complemented
15#42729C212yesmaximal, complemented
16#42727C212yesmaximal, complemented
17#42700C212yesmaximal, complemented
18#40034C212yesmaximal, complemented
19#39754C211yesmaximal, characteristic, complemented
20#39217C212yesmaximal, complemented
21#39182C211yesmaximal, characteristic, complemented
22#38981C212yesmaximal, complemented
23#38978C211yesmaximal, characteristic, complemented
24#38976C211yesmaximal, characteristic, complemented
25#38073C212yesmaximal, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37357C212yesmaximal, complemented
28#37294C212yesmaximal, complemented
29#36590C211yesmaximal, characteristic, complemented
30#36573C211yesmaximal, characteristic, complemented
31#36407C211yesmaximal, characteristic, complemented
32#35197C211yesmaximal, characteristic
33#35186C211yesmaximal, characteristic, complemented
34#34945C211yesmaximal, characteristic, complemented
35#34920C211yesmaximal, characteristic, complemented
36#2861C2212yes—
37#2861C2212yes—
38#2860C2212yes—
39#2859C2211yescharacteristic
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2857C2212yes—
43#2854C2212yes—
44#2850C2212yes—
45#2838C2214yes—
46#2837C2214yes—
47#2837C2214yes—
48#2830C2214yes—
49#2827C2214yes—
50#2827C2214yes—
51#2820C2214yes—
52#2814C2214yes—
53#2805C2214yes—
54#2803C2214yes—
55#2803C2214yes—
56#2802C2214yes—
57#2800C2214yes—
58#2800C2214yes—
59#2796C2214yes—
60#2787C2214yes—
61#2782C2214yes—
62#2781C2214yes—
63#2777C2214yes—
64#2777C2214yes—
65#2775C2214yes—
66#2774C2214yes—
67#2772C2214yes—
68#2770C2214yes—
69#2766C2214yes—
70#2765C2214yes—
71#2765C2214yes—
72#2764C2214yes—
73#2763C2214yes—
74#2761C2214yes—
75#2759C2214yes—
76#2757C2214yes—
77#2755C2214yes—
78#2754C2214yes—
79#2754C2214yes—
80#2751C2214yes—
81#2750C2214yes—
82#2745C2214yes—
83#2743C2214yes—
84#2741C2214yes—
85#2740C2214yes—
86#2739C2214yes—
87#2738C2214yes—
88#2737C2214yes—
89#2728C2214yes—
90#2725C2214yes—
91#2723C2214yes—
92#2723C2214yes—
93#2719C2214yes—
94#2717C2214yes—
95#2715C2214yes—
96#2707C2214yes—
97#2700C2214yes—
98#2695C2214yes—
99#2694C2214yes—
100#2689C2214yes—
101#2687C2214yes—
102#2660C2212yes—
103#2653C2214yes—
104#2652C2214yes—
105#2651C2214yes—
106#2650C2214yes—
107#2650C2214yes—
108#2648C2214yes—
109#2647C2212yes—
110#2645C2212yes—
111#2644C2212yes—
112#2644C2212yes—
113#2644C2212yes—
114#2643C2214yes—
115#2640C2212yes—
116#2640C2212yes—
117#2638C2214yes—
118#2602C2214yes—
119#2596C2214yes—
120#2594C2214yes—
121#2592C2212yes—
122#2590C2212yes—
123#2588C2212yes—
124#2584C2212yes—
125#2584C2211yescharacteristic
126#2582C2211yescharacteristic
127#2582C2211yescharacteristic
128#2581C2212yes—
129#2581C2211yescharacteristic
130#2580C2212yes—
131#2580C2212yes—
132#2580C2212yes—
133#2575C2214yes—
134#2574C2214yes—
135#2573C2212yes—
136#2573C2214yes—
137#2573C2212yes—
138#2571C2211yescharacteristic
139#2571C2212yes—
140#2571C2211yescharacteristic
141#2571C2212yes—
142#2570C2212yes—
143#2568C2212yes—
144#2568C2211yescharacteristic
145#2566C2212yes—
146#2565C2211yescharacteristic
147#2556C2214yes—
148#2552C2211yescharacteristic
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2550C2212yes—
152#2550C2211yescharacteristic
153#2548C2211yescharacteristic
154#2548C2211yescharacteristic
155#2548C2211yescharacteristic
156#2548C2212yes—
157#2548C2212yes—
158#2547C2211yescharacteristic
159#2545C2212yes—
160#2544C2212yes—
161#2541C2211yescharacteristic
162#2538C2211yescharacteristic
163#2538C2211yescharacteristic
164#2525C2214yes—
165#2525C2214yes—
166#2520C2212yes—
167#2519C2214yes—
168#2515C2214yes—
169#2514C2212yes—
170#2514C2211yescharacteristic
171#2514C2211yescharacteristic
172#2514C2212yes—
173#2513C2212yes—
174#2513C2212yes—
175#2513C2212yes—
176#2513C2212yes—
177#2512C2212yes—
178#2512C2212yes—
179#2512C2212yes—
180#2511C2212yes—
181#2509C2212yes—
182#2508C2212yes—
183#2508C2212yes—
184#2508C2212yes—
185#2508C2211yescharacteristic
186#2506C2212yes—
187#2506C2212yes—
188#2506C2211yescharacteristic
189#2500C2212yes—
190#2500C2212yes—
191#2499C2212yes—
192#2495C2212yes—
193#2495C2214yes—
194#2494C2212yes—
195#2494C2214yes—
196#2494C2212yes—
197#2493C2214yes—
198#2493C2214yes—
199#2491C2212yes—
200#2490C2212yes—
201#2489C2214yes—
202#2489C2212yes—
203#2488C2214yes—
204#2468C2214yes—
205#2466C2214yes—
206#2462C2212yes—
207#2459C2214yes—
208#2457C2214yes—
209#2454C2212yes—
210#2454C2212yes—
211#2454C2212yes—
212#2454C2212yes—
213#2454C2212yes—
214#2454C2212yes—
215#2454C2212yes—
216#2454C2212yes—
217#2453C2212yes—
218#2453C2212yes—
219#2453C2211yescharacteristic
220#2452C2212yes—
221#2452C2212yes—
222#2452C2212yes—
223#2451C2211yescharacteristic
224#2448C2212yes—
225#2448C2212yes—
226#2447C2212yes—
227#2447C2212yes—
228#2447C2212yes—
229#2447C2212yes—
230#2447C2211yescharacteristic
231#2447C2211yescharacteristic
232#2446C2212yes—
233#2445C2212yes—
234#2445C2212yes—
235#2441C2212yes—
236#2441C2212yes—
237#2439C2212yes—
238#2427C2212yes—
239#2422C2212yes—
240#2421C2212yes—
241#2421C2212yes—
242#2420C2212yes—
243#2420C2212yes—
244#2402C2212yes—
245#2401C2212yes—
246#2401C2212yes—
247#2399C2212yes—
248#2376C2214yes—
249#2370C2212yes—
250#2369C2212yes—
251#2367C2212yes—
252#2367C2212yes—
253#2363C2212yes—
254#2363C2212yes—
255#2362C2212yes—
256#2357C2212yes—
257#2357C2212yes—
258#2355C2211yescharacteristic
259#2355C2211yescharacteristic
260#2354C2211yescharacteristic
261#2354C2211yescharacteristic
262Q8×C4⋊C4C2211yescharacteristic
263Q8×C4⋊C4C2211yescharacteristic
264#2349C2212yes—
265#2349C2212yes—
266#2349C2212yes—
267#2347C2212yes—
268#2334C2214yes—
269#2331C2212yes—
270#2330C2212yes—
271#2328C2212yes—
272#2326C2212yes—
273#2320C2212yes—
274#2320C2212yes—
275#2319C2212yes—
276#2319C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#125C2212yes—
285C4×#125C2212yes—
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic
288C4×C22⋊Q8C2212yes—
289#2296C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2295C2211yescharacteristic
293#2295C2212yes—
294#2295C2211yescharacteristic
295#2283C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×#127C2311yescharacteristic
304C2×#127C2312yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#125C2311yescharacteristic
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C22×C42C2312yes—
355#401C2314yes—
356#401C2314yes—
357#401C2312yes—
358#401C2312yes—
359#400C2314yes—
360#400C2312yes—
361#400C2312yes—
362#400C2314yes—
363#400C2314yes—
364#400C2312yes—
365#400C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2312yes—
375#400C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#398C2312yes—
392#398C2312yes—
393#398C2314yes—
394#398C2312yes—
395#398C2312yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2312yes—
405#398C2312yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2312yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2312yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2312yes—
458#395C2312yes—
459#395C2312yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#392C2314yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2314yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2314yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#383C2314yes—
707#383C2312yes—
708#383C2312yes—
709#383C2314yes—
710#383C2314yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2314yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2314yes—
728#382C2312yes—
729#381C2314yes—
730#381C2312yes—
731#381C2312yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805C2×#95C2314yes—
806C43C2312yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×D4C2412yes—
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2414yes—
821C22×D4C2414yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2414yes—
827C23×C4C2412yes—
828C4⋊Q8—44no—
829C4⋊Q8—44no—
830C4⋊Q8—42no—
831C4⋊Q8—42no—
832#127—24no—
833#127—44no—
834#126—48no—
835#126—84no—
836#125—42no—
837#125—42no—
838#125—44no—
839#125—44no—
840#125—44no—
841#125—44no—
842#125—84no—
843#125—82no—
844#124—44no—
845#124—42no—
846#124—44no—
847#124—44no—
848#124—42no—
849#124—84no—
850#123—48no—
851#123—84no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—84no—
855C22⋊Q8—84no—
856#121—44no—
857#121—44no—
858C4×Q8—24no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—42no—
862C4×Q8—42no—
863C4×Q8—44no—
864C4×Q8—42no—
865C4×Q8—42no—
866C4×Q8—42no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×D4—24no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—42no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—42no—
879C4×D4—82no—
880C4×D4—82no—
881#117—44no—
882#117—44no—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C42—44no—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041#95C2411yescharacteristic
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129C24C2512yes—
1130C24C2514yes—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—22no—
1137C2×Q8—22no—
1138C2×Q8—22no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—41no—
1142C2×Q8—41no—
1143C2×Q8—42no—
1144C2×Q8—42no—
1145C2×Q8—42no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×D4—22no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—24no—
1158C2×D4—22no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2514yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—41no—
1253C4⋊C4—42no—
1254C4⋊C4—41no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C22⋊C4—24no—
1298C22⋊C4—28no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C42—24no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—24no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—42no—
1358C42—42no—
1359C42—44no—
1360C42—44no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—42no—
1366C42—44no—
1367C42—42no—
1368C42—44no—
1369C42—44no—
1370C42—42no—
1371C42—41no—
1372C42—44no—
1373C42—42no—
1374C422−1+414yes—
1375C23—22no—
1376C23—24no—
1377C23—24no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—24no—
1383C23—24no—
1384C23—24no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—24no—
1389C23C2611yescharacteristic
1390Q8—44no—
1391Q8—44no—
1392Q8—44no—
1393Q8—44no—
1394Q8—84no—
1395Q8—164no—
1396D4—48no—
1397D4—48no—
1398D4—44no—
1399D4—48no—
1400D4—164no—
1401D4—164no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
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—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—48no—
1494C2×C4—84no—
1495C2×C4—84no—
1496C2×C4—164no—
1497C2×C4—164no—
1498C2×C4—164no—
1499C2×C4C2×2−1+412yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4C2×2−1+412yes—
1502C2×C4#58512yes—
1503C2×C4#58512yes—
1504C2×C4#58512yes—
1505C2×C4#58512yes—
1506C2×C4#58512yes—
1507C22—42no—
1508C22—44no—
1509C22—42no—
1510C22—44no—
1511C22—44no—
1512C22—42no—
1513C22—42no—
1514C22—44no—
1515C22—44no—
1516C22—42no—
1517C22—42no—
1518C22—44no—
1519C22—44no—
1520C22—42no—
1521C22C22×2−1+411yescharacteristic
1522C22C2×#58511yescharacteristic
1523C22C2×#58511yescharacteristic
1524C22C2×#58511yescharacteristic
1525C22C2×#58511yescharacteristic
1526C22C2×#58511yescharacteristic
1527C22H(7,𝔽2)11yescharacteristic
1528C4—22no—
1529C4—22no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—41no—
1535C4—41no—
1536C4—42no—
1537C4—44no—
1538C4—41no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—41no—
1543C4—41no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—42no—
1551C4—44no—
1552C4—41no—
1553C4—41no—
1554C4—44no—
1555C4—42no—
1556C4—42no—
1557C4—41no—
1558C4—42no—
1559C4#355714yes—
1560C4#356514yes—
1561C2—82no—
1562C2—84no—
1563C2C2×#355711yescharacteristic
1564C2C2×#356511yescharacteristic
1565C2#6282711yescharacteristic
1566C2#6292611yescharacteristic
1567C2#6296611yescharacteristic
1568C2#6296611yescharacteristic
1569C2#6303611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2541C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59679C2semidirect
4. #58321C2semidirect
5. #56041C2semidirect
6. #55348C2semidirect
7. #53112C2semidirect
8. #53089C2semidirect
9. #49174C2semidirect
10. #46074C2semidirect
11. #45513C2semidirect
12. #45172C2semidirect
13. #45169C2semidirect
14. #42742C2semidirect
15. #42729C2semidirect
16. #42727C2semidirect
17. #42700C2semidirect
18. #40034C2semidirect
19. #39754C2semidirect
20. #39217C2semidirect
21. #39182C2semidirect
22. #38981C2semidirect
23. #38978C2semidirect
24. #38976C2semidirect
25. #38073C2semidirect
26. #37629C2semidirect
27. #37357C2semidirect
28. #37294C2semidirect
29. #36590C2semidirect
30. #36573C2semidirect
31. #36407C2semidirect
33. #35186C2semidirect
34. #34945C2semidirect
35. #34920C2semidirect

Maximal subgroups

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

subgroupindex
#596792
#596462
#596402
#583212
#560412
#553482
#531122
#530892
#491742
#460742
#455132
#451722
#451692
#427422
#427292
#427272
#427002
#400342
#397542
#392172
#391822
#389812
#389782
#389762
#380732
#376292
#373572
#372942
#365902
#365732
#364072
#351972
#351862
#349452
#349202