Finite Group Databasebeta

← #8429397

Subgroups — #8429397

Order 512.

4019 conjugacy classes of subgroups.

The subgroup lattice has 1576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59712C212yesmaximal, complemented
2#59464C211yesmaximal, characteristic, complemented
3#59449C212yesmaximal, complemented
4#59234C211yesmaximal, characteristic, complemented
5#59219C211yesmaximal, characteristic, complemented
6#56974C214yesmaximal, complemented
7#55855C214yesmaximal, complemented
8#53086C212yesmaximal, complemented
9#53056C212yesmaximal
10#53054C212yesmaximal, complemented
11#53048C212yesmaximal, complemented
12#52575C214yesmaximal, complemented
13#42896C212yesmaximal, complemented
14#42754C212yesmaximal, complemented
15#42666C212yesmaximal, complemented
16#42656C212yesmaximal, complemented
17#40898C214yesmaximal, complemented
18#39753C211yesmaximal, characteristic, complemented
19#39737C211yesmaximal, characteristic, complemented
20#39653C212yesmaximal, complemented
21#39544C212yesmaximal, complemented
22#39497C211yesmaximal, characteristic, complemented
23#39478C211yesmaximal, characteristic, complemented
24#39296C212yesmaximal, complemented
25#39225C212yesmaximal, complemented
26#37642C211yesmaximal, characteristic, complemented
27#37631C211yesmaximal, characteristic, complemented
28#37593C212yesmaximal, complemented
29#37582C212yesmaximal, complemented
30#36449C211yesmaximal, characteristic, complemented
31#36314C211yesmaximal, characteristic, complemented
32#36194C211yesmaximal, characteristic, complemented
33#34978C211yesmaximal, characteristic, complemented
34#34797C211yesmaximal, characteristic
35#34793C211yesmaximal, characteristic, complemented
36#2868C2211yescharacteristic
37#2864C2212yes—
38#2863C2212yes—
39#2857C2211yescharacteristic
40#2857C2211yescharacteristic
41#2844C2214yes—
42#2839C2214yes—
43#2838C2214yes—
44#2838C2214yes—
45#2838C2214yes—
46#2836C2214yes—
47#2832C2214yes—
48#2832C2214yes—
49#2831C2214yes—
50#2831C2214yes—
51#2830C2214yes—
52#2829C2214yes—
53#2827C2214yes—
54#2820C2214yes—
55#2810C2214yes—
56#2808C2214yes—
57#2805C2214yes—
58#2802C2214yes—
59#2798C2214yes—
60#2798C2214yes—
61#2791C2214yes—
62#2790C2214yes—
63#2788C2214yes—
64#2783C2214yes—
65#2777C2214yes—
66#2776C2214yes—
67#2776C2214yes—
68#2775C2214yes—
69#2775C2214yes—
70#2774C2214yes—
71#2773C2214yes—
72#2772C2214yes—
73#2772C2214yes—
74#2772C2214yes—
75#2767C2214yes—
76#2765C2214yes—
77#2762C2214yes—
78#2762C2214yes—
79#2759C2214yes—
80#2755C2214yes—
81#2755C2214yes—
82#2747C2214yes—
83#2745C2214yes—
84#2741C2214yes—
85#2731C2214yes—
86#2729C2214yes—
87#2713C2214yes—
88#2713C2214yes—
89#2710C2214yes—
90#2700C2214yes—
91#2694C2214yes—
92#2666C2214yes—
93#2663C2214yes—
94#2660C2212yes—
95#2654C2214yes—
96#2652C2214yes—
97#2651C2214yes—
98#2651C2214yes—
99#2650C2214yes—
100#2650C2214yes—
101#2650C2214yes—
102#2649C2214yes—
103#2645C2212yes—
104#2640C2212yes—
105#2629C2212yes—
106#2628C2212yes—
107#2628C2212yes—
108#2628C2214yes—
109#2628C2212yes—
110#2628C2212yes—
111#2628C2212yes—
112#2625C2212yes—
113#2625C2212yes—
114#2620C2212yes—
115#2612C2214yes—
116#2605C2214yes—
117#2596C2214yes—
118#2588C2214yes—
119#2588C2214yes—
120#2578C2214yes—
121#2575C2214yes—
122#2571C2212yes—
123#2571C2212yes—
124#2571C2211yescharacteristic
125#2571C2211yescharacteristic
126#2571C2212yes—
127#2571C2211yescharacteristic
128#2570C2212yes—
129#2568C2212yes—
130#2568C2211yescharacteristic
131#2566C2212yes—
132#2565C2212yes—
133#2565C2212yes—
134#2563C2212yes—
135#2562C2212yes—
136#2552C2211yescharacteristic
137#2552C2211yescharacteristic
138#2552C2212yes—
139#2551C2212yes—
140#2551C2212yes—
141#2551C2211yescharacteristic
142#2551C2211yescharacteristic
143#2550C2212yes—
144#2550C2212yes—
145#2550C2212yes—
146#2547C2212yes—
147#2547C2211yescharacteristic
148#2538C2212yes—
149#2538C2211yescharacteristic
150#2536C2212yes—
151#2533C2214yes—
152#2532C2214yes—
153#2531C2212yes—
154#2530C2214yes—
155#2530C2214yes—
156#2530C2212yes—
157#2529C2212yes—
158#2529C2214yes—
159#2528C2212yes—
160#2519C2214yes—
161#2518C2212yes—
162#2517C2214yes—
163#2517C2212yes—
164#2515C2214yes—
165#2514C2214yes—
166#2513C2212yes—
167#2512C2211yescharacteristic
168#2511C2212yes—
169#2511C2212yes—
170#2511C2212yes—
171#2511C2211yescharacteristic
172#2511C2212yes—
173#2509C2212yes—
174#2508C2212yes—
175#2508C2212yes—
176#2507C2212yes—
177#2507C2212yes—
178#2507C2211yescharacteristic
179#2506C2212yes—
180#2506C2211yescharacteristic
181#2500C2211yescharacteristic
182#2499C2212yes—
183#2499C2211yescharacteristic
184#2497C2212yes—
185#2497C2212yes—
186#2497C2212yes—
187#2495C2212yes—
188#2495C2212yes—
189#2495C2212yes—
190#2495C2211yescharacteristic
191#2494C2212yes—
192#2494C2212yes—
193#2494C2212yes—
194#2494C2211yescharacteristic
195#2492C2214yes—
196#2492C2212yes—
197#2492C2212yes—
198#2492C2212yes—
199#2492C2212yes—
200#2491C2212yes—
201#2490C2211yescharacteristic
202#2489C2212yes—
203#2489C2211yescharacteristic
204#2486C2212yes—
205#2485C2212yes—
206#2485C2212yes—
207#2485C2211yescharacteristic
208#2485C2211yescharacteristic
209#2474C2214yes—
210#2470C2214yes—
211#2467C2212yes—
212#2465C2214yes—
213#2462C2214yes—
214#2460C2212yes—
215#2458C2214yes—
216#2453C2212yes—
217#2452C2212yes—
218#2451C2212yes—
219#2451C2212yes—
220#2451C2212yes—
221#2448C2212yes—
222#2448C2212yes—
223#2446C2214yes—
224#2441C2211yescharacteristic
225#2441C2212yes—
226#2441C2212yes—
227#2441C2211yescharacteristic
228#2441C2212yes—
229#2440C2212yes—
230#2439C2212yes—
231#2439C2212yes—
232#2439C2212yes—
233#2439C2212yes—
234#2439C2212yes—
235#2427C2212yes—
236#2422C2212yes—
237#2421C2212yes—
238#2421C2212yes—
239#2421C2212yes—
240#2415C2211yescharacteristic
241#2415C2212yes—
242#2414C2211yescharacteristic
243#2401C2212yes—
244#2396C2214yes—
245#2395C2212yes—
246#2395C2212yes—
247#2392C2212yes—
248#2373C2214yes—
249#2369C2212yes—
250#2369C2212yes—
251#2369C2212yes—
252#2365C2211yescharacteristic
253#2365C2211yescharacteristic
254#2362C2212yes—
255#2360C2212yes—
256#2357C2212yes—
257#2356C2212yes—
258#2355C2211yescharacteristic
259#2355C2212yes—
260#2354C2211yescharacteristic
261#2354C2212yes—
262#2352C2212yes—
263#2351C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2211yescharacteristic
266#2347C2212yes—
267#2345C2212yes—
268#2336C2214yes—
269#2331C2212yes—
270#2323C2212yes—
271#2317C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×#125C2212yes—
277C4×#125C2212yes—
278C4×#125C2212yes—
279C4×#125C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×#126C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2314yes—
315C2×#124C2312yes—
316C2×#124C2314yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2314yes—
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×C4×Q8C2311yescharacteristic
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×D4C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2312yes—
348C2×#117C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352#401C2314yes—
353#401C2314yes—
354#401C2312yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#399C2312yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2312yes—
392#399C2314yes—
393#399C2314yes—
394#398C2314yes—
395#398C2314yes—
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#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2312yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#392C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#383C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2314yes—
706#382C2314yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2312yes—
718#382C2312yes—
719#381C2314yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
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
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2312yes—
807C43C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2412yes—
812C22×Q8C2414yes—
813C22×Q8C2414yes—
814C22×Q8C2414yes—
815C22×D4C2411yescharacteristic
816C22×D4C2411yescharacteristic
817C22×D4C2412yes—
818C22×D4C2412yes—
819C23×C4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C4⋊Q8—24no—
828C4⋊Q8—44no—
829C4⋊Q8—44no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—84no—
835C4⋊Q8—82no—
836#126—28no—
837#125—28no—
838#125—42no—
839#125—44no—
840#125—44no—
841#125—42no—
842#125—84no—
843#124—44no—
844#124—84no—
845#123—84no—
846C22⋊Q8—42no—
847C22⋊Q8—42no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850C22⋊Q8—44no—
851C22⋊Q8—84no—
852#121—42no—
853#121—42no—
854C4×Q8—24no—
855C4×Q8—44no—
856C4×Q8—44no—
857C4×Q8—44no—
858C4×Q8—44no—
859C4×Q8—84no—
860C4×D4—24no—
861C4×D4—24no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—42no—
865C4×D4—44no—
866C4×D4—42no—
867#117—44no—
868#117—44no—
869#117—44no—
870#117—42no—
871#117—44no—
872#117—42no—
873#117—42no—
874#117—42no—
875#117—82no—
876#117—82no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2411yescharacteristic
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C42—24no—
1001C2×C42—24no—
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2412yes—
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
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—22no—
1132C2×Q8—24no—
1133C2×Q8—24no—
1134C2×Q8—22no—
1135C2×Q8—44no—
1136C2×Q8—44no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—42no—
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—24no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
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×C4C2511yescharacteristic
1181C22×C4C2511yescharacteristic
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2514yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2514yes—
1202C22×C4C2514yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
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—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C42−1+414yes—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—41no—
1316C22⋊C4—44no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—24no—
1342C42—24no—
1343C42—24no—
1344C42—22no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—22no—
1353C42—22no—
1354C42—42no—
1355C42—44no—
1356C42—42no—
1357C42—42no—
1358C42—42no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—42no—
1366C42—42no—
1367C42—44no—
1368C42—41no—
1369C422−1+414yes—
1370C23—22no—
1371C23—22no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—22no—
1381C23—22no—
1382C23—21no—
1383C23—21no—
1384C23—22no—
1385C23—21no—
1386C23—21no—
1387C23—22no—
1388C23—21no—
1389C23—21no—
1390C23—22no—
1391C23C2611yescharacteristic
1392Q8—44no—
1393Q8—48no—
1394Q8—88no—
1395Q8—164no—
1396Q8—164no—
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—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—48no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—164no—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4C2×2−1+412yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4#58512yes—
1502C2×C4#58512yes—
1503C2×C4#58512yes—
1504C2×C4#58512yes—
1505C22—42no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—42no—
1511C22—41no—
1512C22—41no—
1513C22—42no—
1514C22—42no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—42no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—42no—
1523C22—42no—
1524C22—41no—
1525C22—41no—
1526C22C22×2−1+411yescharacteristic
1527C22C22×2−1+411yescharacteristic
1528C22C2×#58511yescharacteristic
1529C22C2×#58511yescharacteristic
1530C22C2×#58511yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22H(7,𝔽2)11yescharacteristic
1533C4—22no—
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—41no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—44no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—44no—
1560C4—42no—
1561C4—44no—
1562C4—41no—
1563C4#356514yes—
1564C4#356514yes—
1565C2—81no—
1566C2—81no—
1567C2—82no—
1568C2C2×#356511yescharacteristic
1569C2C2×#356511yescharacteristic
1570C2#6276111yescharacteristic
1571C2#6293811yescharacteristic
1572C2#6294511yescharacteristic
1573C2#6296611yescharacteristic
1574C2#6303411yescharacteristic
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. #59712C2semidirect
2. #59464C2semidirect
3. #59449C2semidirect
4. #59234C2semidirect
5. #59219C2semidirect
6. #56974C2semidirect
7. #55855C2semidirect
8. #53086C2semidirect
10. #53054C2semidirect
11. #53048C2semidirect
12. #52575C2semidirect
13. #42896C2semidirect
14. #42754C2semidirect
15. #42666C2semidirect
16. #42656C2semidirect
17. #40898C2semidirect
18. #39753C2semidirect
19. #39737C2semidirect
20. #39653C2semidirect
21. #39544C2semidirect
22. #39497C2semidirect
23. #39478C2semidirect
24. #39296C2semidirect
25. #39225C2semidirect
26. #37642C2semidirect
27. #37631C2semidirect
28. #37593C2semidirect
29. #37582C2semidirect
30. #36449C2semidirect
31. #36314C2semidirect
32. #36194C2semidirect
33. #34978C2semidirect
35. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#597122
#594642
#594492
#592342
#592192
#569742
#558552
#530862
#530562
#530542
#530482
#525752
#428962
#427542
#426662
#426562
#408982
#397532
#397372
#396532
#395442
#394972
#394782
#392962
#392252
#376422
#376312
#375932
#375822
#364492
#363142
#361942
#349782
#347972
#347932