Finite Group Databasebeta

← #8429459

Subgroups — #8429459

Order 512.

4026 conjugacy classes of subgroups.

The subgroup lattice has 1577 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59870C211yesmaximal, characteristic, complemented
2#59499C212yesmaximal, complemented
3#59433C212yesmaximal, complemented
4#59302C211yesmaximal, characteristic, complemented
5#59219C211yesmaximal, characteristic, complemented
6#57064C214yesmaximal, complemented
7#55832C214yesmaximal, complemented
8#53149C212yesmaximal, complemented
9#53133C212yesmaximal, complemented
10#53120C212yesmaximal
11#53093C212yesmaximal, complemented
12#52576C214yesmaximal, complemented
13#42934C212yesmaximal, complemented
14#42868C212yesmaximal, complemented
15#42722C212yesmaximal, complemented
16#42692C212yesmaximal, complemented
17#40896C214yesmaximal, complemented
18#39800C212yesmaximal, complemented
19#39652C212yesmaximal, complemented
20#39224C212yesmaximal, complemented
21#39180C211yesmaximal, characteristic, complemented
22#39146C211yesmaximal, characteristic, complemented
23#39082C212yesmaximal, complemented
24#38965C211yesmaximal, characteristic, complemented
25#38933C211yesmaximal, characteristic, complemented
26#37631C211yesmaximal, characteristic, complemented
27#37623C211yesmaximal, characteristic, complemented
28#37597C212yesmaximal, complemented
29#37580C212yesmaximal, complemented
30#36450C211yesmaximal, characteristic, complemented
31#36315C211yesmaximal, characteristic, complemented
32#36189C211yesmaximal, characteristic, complemented
33#34978C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34800C211yesmaximal, characteristic
36#2863C2212yes—
37#2861C2212yes—
38#2859C2211yescharacteristic
39#2857C2211yescharacteristic
40#2857C2211yescharacteristic
41#2843C2214yes—
42#2839C2214yes—
43#2838C2214yes—
44#2838C2214yes—
45#2838C2214yes—
46#2837C2214yes—
47#2836C2214yes—
48#2833C2214yes—
49#2833C2214yes—
50#2831C2214yes—
51#2831C2214yes—
52#2830C2214yes—
53#2826C2214yes—
54#2814C2214yes—
55#2805C2214yes—
56#2799C2214yes—
57#2793C2214yes—
58#2791C2214yes—
59#2790C2214yes—
60#2789C2214yes—
61#2787C2214yes—
62#2786C2214yes—
63#2783C2214yes—
64#2779C2214yes—
65#2775C2214yes—
66#2772C2214yes—
67#2770C2214yes—
68#2768C2214yes—
69#2768C2214yes—
70#2767C2214yes—
71#2766C2214yes—
72#2766C2214yes—
73#2765C2214yes—
74#2759C2214yes—
75#2755C2214yes—
76#2754C2214yes—
77#2747C2214yes—
78#2746C2214yes—
79#2746C2214yes—
80#2745C2214yes—
81#2745C2214yes—
82#2742C2214yes—
83#2741C2214yes—
84#2738C2214yes—
85#2726C2214yes—
86#2718C2214yes—
87#2704C2214yes—
88#2696C2214yes—
89#2694C2214yes—
90#2692C2214yes—
91#2689C2214yes—
92#2666C2214yes—
93#2664C2214yes—
94#2660C2212yes—
95#2660C2212yes—
96#2655C2214yes—
97#2655C2214yes—
98#2655C2214yes—
99#2655C2214yes—
100#2654C2214yes—
101#2651C2214yes—
102#2650C2214yes—
103#2649C2214yes—
104#2647C2212yes—
105#2647C2212yes—
106#2647C2212yes—
107#2647C2212yes—
108#2645C2212yes—
109#2645C2212yes—
110#2640C2212yes—
111#2629C2212yes—
112#2628C2212yes—
113#2627C2214yes—
114#2625C2212yes—
115#2612C2214yes—
116#2606C2214yes—
117#2596C2214yes—
118#2594C2214yes—
119#2584C2212yes—
120#2584C2212yes—
121#2582C2212yes—
122#2581C2212yes—
123#2581C2212yes—
124#2577C2214yes—
125#2577C2214yes—
126#2571C2211yescharacteristic
127#2571C2211yescharacteristic
128#2570C2212yes—
129#2570C2212yes—
130#2568C2211yescharacteristic
131#2568C2212yes—
132#2567C2212yes—
133#2565C2212yes—
134#2562C2212yes—
135#2556C2214yes—
136#2552C2212yes—
137#2552C2211yescharacteristic
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2552C2211yescharacteristic
141#2551C2211yescharacteristic
142#2550C2212yes—
143#2547C2211yescharacteristic
144#2538C2212yes—
145#2538C2211yescharacteristic
146#2536C2212yes—
147#2533C2214yes—
148#2533C2212yes—
149#2532C2212yes—
150#2531C2214yes—
151#2529C2214yes—
152#2528C2214yes—
153#2528C2214yes—
154#2527C2212yes—
155#2526C2212yes—
156#2523C2212yes—
157#2521C2214yes—
158#2520C2214yes—
159#2518C2212yes—
160#2514C2212yes—
161#2514C2212yes—
162#2514C2211yescharacteristic
163#2513C2211yescharacteristic
164#2512C2212yes—
165#2511C2212yes—
166#2511C2214yes—
167#2509C2212yes—
168#2509C2212yes—
169#2509C2211yescharacteristic
170#2508C2211yescharacteristic
171#2507C2212yes—
172#2507C2212yes—
173#2507C2212yes—
174#2506C2212yes—
175#2504C2212yes—
176#2500C2211yescharacteristic
177#2499C2212yes—
178#2499C2212yes—
179#2499C2211yescharacteristic
180#2497C2212yes—
181#2497C2211yescharacteristic
182#2497C2212yes—
183#2496C2211yescharacteristic
184#2496C2212yes—
185#2495C2214yes—
186#2494C2212yes—
187#2494C2214yes—
188#2494C2212yes—
189#2494C2212yes—
190#2494C2212yes—
191#2494C2212yes—
192#2494C2212yes—
193#2492C2212yes—
194#2492C2211yescharacteristic
195#2491C2211yescharacteristic
196#2489C2212yes—
197#2489C2212yes—
198#2489C2212yes—
199#2487C2212yes—
200#2487C2212yes—
201#2486C2212yes—
202#2485C2212yes—
203#2485C2211yescharacteristic
204#2485C2211yescharacteristic
205#2481C2214yes—
206#2470C2214yes—
207#2469C2214yes—
208#2466C2212yes—
209#2465C2214yes—
210#2462C2214yes—
211#2459C2212yes—
212#2454C2212yes—
213#2453C2212yes—
214#2451C2212yes—
215#2448C2212yes—
216#2442C2212yes—
217#2442C2212yes—
218#2442C2212yes—
219#2442C2212yes—
220#2441C2212yes—
221#2441C2212yes—
222#2441C2212yes—
223#2441C2212yes—
224#2440C2212yes—
225#2440C2212yes—
226#2440C2212yes—
227#2439C2211yescharacteristic
228#2439C2212yes—
229#2439C2211yescharacteristic
230#2439C2212yes—
231#2427C2212yes—
232#2426C2212yes—
233#2423C2212yes—
234#2423C2212yes—
235#2423C2212yes—
236#2423C2214yes—
237#2423C2212yes—
238#2422C2212yes—
239#2417C2212yes—
240#2417C2212yes—
241#2415C2211yescharacteristic
242#2414C2211yescharacteristic
243#2401C2212yes—
244#2398C2212yes—
245#2398C2212yes—
246#2396C2214yes—
247#2392C2212yes—
248#2373C2214yes—
249#2365C2211yescharacteristic
250#2365C2211yescharacteristic
251#2362C2212yes—
252#2360C2212yes—
253#2360C2212yes—
254#2357C2212yes—
255#2355C2211yescharacteristic
256#2355C2212yes—
257#2355C2212yes—
258#2354C2211yescharacteristic
259#2354C2212yes—
260#2352C2212yes—
261#2352C2212yes—
262Q8×C4⋊C4C2211yescharacteristic
263Q8×C4⋊C4C2212yes—
264D4×C4⋊C4C2211yescharacteristic
265#2346C2212yes—
266#2345C2212yes—
267#2345C2212yes—
268#2337C2214yes—
269#2330C2212yes—
270#2326C2212yes—
271#2320C2212yes—
272#2316C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#125C2212yes—
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2295C2212yes—
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293C2×#384C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#126C2312yes—
305C2×#126C2314yes—
306C2×#125C2312yes—
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#123C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2314yes—
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2312yes—
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352#401C2314yes—
353#401C2314yes—
354#401C2314yes—
355#401C2314yes—
356#401C2314yes—
357#401C2312yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#393C2314yes—
479#393C2314yes—
480#393C2312yes—
481#393C2314yes—
482#393C2312yes—
483#393C2312yes—
484#393C2312yes—
485#392C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2314yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#383C2312yes—
698#383C2314yes—
699#383C2314yes—
700#383C2312yes—
701#383C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2312yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2312yes—
807C43C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2412yes—
812C22×Q8C2412yes—
813C22×Q8C2412yes—
814C22×Q8C2414yes—
815C22×D4C2411yescharacteristic
816C22×D4C2411yescharacteristic
817C22×D4C2412yes—
818C22×D4C2412yes—
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2414yes—
828C4⋊Q8—24no—
829C4⋊Q8—44no—
830C4⋊Q8—42no—
831C4⋊Q8—42no—
832C4⋊Q8—44no—
833#126—28no—
834#126—84no—
835#125—44no—
836#125—44no—
837#125—44no—
838#125—44no—
839#125—82no—
840#125—84no—
841#124—28no—
842#124—44no—
843#123—84no—
844C22⋊Q8—44no—
845C22⋊Q8—44no—
846C22⋊Q8—42no—
847C22⋊Q8—44no—
848C22⋊Q8—42no—
849C22⋊Q8—84no—
850C22⋊Q8—84no—
851#121—42no—
852#121—42no—
853C4×Q8—24no—
854C4×Q8—44no—
855C4×Q8—44no—
856C4×Q8—44no—
857C4×Q8—44no—
858C4×Q8—44no—
859C4×Q8—44no—
860C4×Q8—84no—
861C4×D4—24no—
862C4×D4—24no—
863C4×D4—44no—
864C4×D4—42no—
865C4×D4—44no—
866C4×D4—42no—
867C4×D4—44no—
868#117—44no—
869#117—44no—
870#117—42no—
871#117—42no—
872#117—42no—
873#117—42no—
874#117—82no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—82no—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C42—24no—
1000C2×C42—24no—
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126C24C2512yes—
1127C24C2511yescharacteristic
1128C24C2511yescharacteristic
1129C2×Q8—22no—
1130C2×Q8—24no—
1131C2×Q8—24no—
1132C2×Q8—22no—
1133C2×Q8—24no—
1134C2×Q8—24no—
1135C2×Q8—22no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—44no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—42no—
1144C2×D4—22no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—24no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4C2512yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2514yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—22no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C42−1+414yes—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—22no—
1346C42—24no—
1347C42—24no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—22no—
1353C42—22no—
1354C42—24no—
1355C42—42no—
1356C42—44no—
1357C42—42no—
1358C42—42no—
1359C42—42no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—42no—
1366C42—42no—
1367C42—41no—
1368C42—44no—
1369C422−1+414yes—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—22no—
1377C23—22no—
1378C23—21no—
1379C23—21no—
1380C23—22no—
1381C23—21no—
1382C23—21no—
1383C23—22no—
1384C23—21no—
1385C23—21no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—21no—
1390C23C2×2−1+412yes—
1391C23C2611yescharacteristic
1392Q8—44no—
1393Q8—48no—
1394Q8—84no—
1395Q8—84no—
1396Q8—88no—
1397D4—44no—
1398D4—44no—
1399D4—84no—
1400D4—84no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—48no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—164no—
1496C2×C4—164no—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
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—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—42no—
1514C22—41no—
1515C22—41no—
1516C22—42no—
1517C22—41no—
1518C22—42no—
1519C22—42no—
1520C22—41no—
1521C22—42no—
1522C22—41no—
1523C22—41no—
1524C22—42no—
1525C22—41no—
1526C22—42no—
1527C22C22×2−1+411yescharacteristic
1528C22C22×2−1+411yescharacteristic
1529C22C2×#58511yescharacteristic
1530C22C2×#58511yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22C2×#58511yescharacteristic
1533C22H(7,𝔽2)11yescharacteristic
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—42no—
1542C4—42no—
1543C4—44no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—44no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—42no—
1558C4—41no—
1559C4—41no—
1560C4—44no—
1561C4—44no—
1562C4—42no—
1563C4—42no—
1564C4#356514yes—
1565C4#356514yes—
1566C2—42no—
1567C2—81no—
1568C2—82no—
1569C2C2×#356511yescharacteristic
1570C2C2×#356511yescharacteristic
1571C2#6276111yescharacteristic
1572C2#6293711yescharacteristic
1573C2#6294511yescharacteristic
1574C2#6296911yescharacteristic
1575C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59870C2semidirect
2. #59499C2semidirect
3. #59433C2semidirect
4. #59302C2semidirect
5. #59219C2semidirect
6. #57064C2semidirect
7. #55832C2semidirect
8. #53149C2semidirect
9. #53133C2semidirect
11. #53093C2semidirect
12. #52576C2semidirect
13. #42934C2semidirect
14. #42868C2semidirect
15. #42722C2semidirect
16. #42692C2semidirect
17. #40896C2semidirect
18. #39800C2semidirect
19. #39652C2semidirect
20. #39224C2semidirect
21. #39180C2semidirect
22. #39146C2semidirect
23. #39082C2semidirect
24. #38965C2semidirect
25. #38933C2semidirect
26. #37631C2semidirect
27. #37623C2semidirect
28. #37597C2semidirect
29. #37580C2semidirect
30. #36450C2semidirect
31. #36315C2semidirect
32. #36189C2semidirect
33. #34978C2semidirect
34. #34803C2semidirect

Maximal subgroups

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

subgroupindex
#598702
#594992
#594332
#593022
#592192
#570642
#558322
#531492
#531332
#531202
#530932
#525762
#429342
#428682
#427222
#426922
#408962
#398002
#396522
#392242
#391802
#391462
#390822
#389652
#389332
#376312
#376232
#375972
#375802
#364502
#363152
#361892
#349782
#348032
#348002