Finite Group Databasebeta

← #8424619

Subgroups — #8424619

Order 512.

4194 conjugacy classes of subgroups.

The subgroup lattice has 1563 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59667C211yesmaximal, characteristic, complemented
2#59322C211yesmaximal, characteristic, complemented
3#59242C211yesmaximal, characteristic, complemented
4#59240C212yesmaximal
5#59154C212yesmaximal, complemented
6#58769C214yesmaximal, complemented
7#58766C214yesmaximal, complemented
8#53091C212yesmaximal, complemented
9#53034C212yesmaximal, complemented
10#53028C212yesmaximal, complemented
11#52996C212yesmaximal, complemented
12#52377C214yesmaximal
13#42879C212yesmaximal, complemented
14#42774C212yesmaximal, complemented
15#42716C212yesmaximal, complemented
16#42527C212yesmaximal, complemented
17#40564C214yesmaximal, complemented
18#39754C211yesmaximal, characteristic, complemented
19#39512C212yesmaximal, complemented
20#39476C212yesmaximal
21#39353C211yesmaximal, characteristic, complemented
22#39183C211yesmaximal, characteristic, complemented
23#38933C211yesmaximal, characteristic, complemented
24#38066C212yesmaximal, complemented
25#37705C212yesmaximal
26#37630C211yesmaximal, characteristic, complemented
27#37624C211yesmaximal, characteristic, complemented
28#37623C212yesmaximal, complemented
29#37503C212yesmaximal
30#36599C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic
32#36177C211yesmaximal, characteristic, complemented
33C2×#2552C211yesmaximal, characteristic, complemented
34#34780C211yesmaximal, characteristic
35#34772C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#541C2212yes—
38C22×#125C2212yes—
39#2859C2211yescharacteristic
40#2857C2211yescharacteristic
41#2857C2212yes—
42#2857C2211yescharacteristic
43#2855C2212yes—
44#2843C2214yes—
45#2843C2214yes—
46#2841C2214yes—
47#2839C2214yes—
48#2839C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2839C2214yes—
52#2838C2214yes—
53#2838C2214yes—
54#2836C2214yes—
55#2833C2214yes—
56#2833C2214yes—
57#2821C2214yes—
58#2810C2214yes—
59#2805C2214yes—
60#2802C2214yes—
61#2802C2214yes—
62#2794C2214yes—
63#2793C2214yes—
64#2792C2214yes—
65#2791C2214yes—
66#2791C2214yes—
67#2787C2214yes—
68#2777C2214yes—
69#2776C2214yes—
70#2776C2214yes—
71#2776C2214yes—
72#2776C2214yes—
73#2776C2214yes—
74#2774C2214yes—
75#2769C2214yes—
76#2769C2214yes—
77#2766C2214yes—
78#2766C2214yes—
79#2766C2214yes—
80#2758C2214yes—
81#2738C2214yes—
82#2726C2214yes—
83#2725C2214yes—
84#2725C2214yes—
85#2722C2214yes—
86#2721C2214yes—
87#2721C2214yes—
88#2719C2214yes—
89#2719C2214yes—
90#2719C2214yes—
91#2719C2214yes—
92#2719C2214yes—
93#2713C2214yes—
94#2713C2214yes—
95#2666C2214yes—
96#2666C2214yes—
97#2660C2212yes—
98#2660C2212yes—
99#2660C2214yes—
100#2655C2214yes—
101#2655C2214yes—
102#2654C2214yes—
103#2647C2212yes—
104#2647C2212yes—
105#2647C2212yes—
106#2647C2214yes—
107#2647C2212yes—
108#2645C2212yes—
109#2645C2212yes—
110#2642C2212yes—
111#2634C2214yes—
112#2629C2212yes—
113#2628C2212yes—
114#2627C2214yes—
115#2627C2214yes—
116#2625C2212yes—
117#2623C2214yes—
118#2604C2214yes—
119#2585C2214yes—
120#2584C2212yes—
121#2583C2214yes—
122#2582C2211yescharacteristic
123#2581C2212yes—
124#2581C2212yes—
125#2571C2212yes—
126#2571C2212yes—
127#2571C2211yescharacteristic
128#2570C2212yes—
129#2570C2212yes—
130#2570C2212yes—
131#2570C2212yes—
132#2569C2214yes—
133#2568C2211yescharacteristic
134#2567C2212yes—
135#2567C2212yes—
136#2565C2212yes—
137#2565C2212yes—
138#2552C2212yes—
139#2552C2212yes—
140#2552C2211yescharacteristic
141#2552C2212yes—
142#2552C2211yescharacteristic
143#2552C2211yescharacteristic
144#2552C2211yescharacteristic
145#2552C2212yes—
146#2552C2212yes—
147#2552C2212yes—
148#2552C2212yes—
149#2552C2214yes—
150#2552C2211yescharacteristic
151#2551C2212yes—
152#2551C2211yescharacteristic
153#2550C2212yes—
154#2546C2211yescharacteristic
155#2533C2214yes—
156#2528C2214yes—
157#2524C2214yes—
158#2524C2212yes—
159#2522C2212yes—
160#2520C2212yes—
161#2515C2212yes—
162#2514C2212yes—
163#2514C2212yes—
164#2514C2212yes—
165#2514C2212yes—
166#2514C2211yescharacteristic
167#2514C2212yes—
168#2511C2212yes—
169#2511C2212yes—
170#2511C2211yescharacteristic
171#2511C2212yes—
172#2509C2212yes—
173#2509C2212yes—
174#2509C2212yes—
175#2509C2212yes—
176#2508C2211yescharacteristic
177#2508C2212yes—
178#2507C2211yescharacteristic
179#2507C2212yes—
180#2507C2212yes—
181#2507C2212yes—
182#2506C2212yes—
183#2506C2212yes—
184#2506C2214yes—
185#2506C2212yes—
186#2505C2212yes—
187#2503C2212yes—
188#2503C2211yescharacteristic
189#2502C2211yescharacteristic
190#2499C2212yes—
191#2497C2212yes—
192#2497C2211yescharacteristic
193#2496C2212yes—
194#2496C2212yes—
195#2495C2211yescharacteristic
196#2495C2212yes—
197#2494C2212yes—
198#2493C2214yes—
199#2493C2214yes—
200#2493C2214yes—
201#2493C2212yes—
202#2493C2214yes—
203#2492C2211yescharacteristic
204#2489C2212yes—
205#2489C2212yes—
206#2489C2211yescharacteristic
207#2488C2214yes—
208#2487C2212yes—
209#2487C2211yescharacteristic
210#2486C2211yescharacteristic
211#2481C2214yes—
212#2481C2214yes—
213#2473C2214yes—
214#2473C2214yes—
215#2462C2214yes—
216#2462C2214yes—
217#2453C2212yes—
218#2453C2212yes—
219#2453C2212yes—
220#2453C2212yes—
221#2453C2212yes—
222#2451C2212yes—
223#2450C2212yes—
224#2446C2212yes—
225#2446C2212yes—
226#2446C2212yes—
227#2442C2211yescharacteristic
228#2442C2212yes—
229#2442C2214yes—
230#2442C2214yes—
231#2442C2212yes—
232#2441C2212yes—
233#2441C2212yes—
234#2440C2212yes—
235#2440C2214yes—
236#2440C2212yes—
237#2440C2211yescharacteristic
238#2439C2212yes—
239#2423C2212yes—
240#2423C2212yes—
241#2423C2212yes—
242#2419C2212yes—
243#2417C2211yescharacteristic
244#2417C2211yescharacteristic
245#2417C2212yes—
246#2402C2212yes—
247#2402C2212yes—
248#2401C2212yes—
249#2396C2212yes—
250C2×#398C2214yes—
251#2370C2212yes—
252#2370C2212yes—
253#2365C2211yescharacteristic
254#2365C2212yes—
255#2365C2211yescharacteristic
256#2360C2212yes—
257#2360C2212yes—
258#2360C2214yes—
259#2360C2212yes—
260#2360C2212yes—
261#2356C2212yes—
262#2355C2211yescharacteristic
263#2355C2211yescharacteristic
264#2352C2212yes—
265Q8×C4⋊C4C2211yescharacteristic
266Q8×C4⋊C4C2211yescharacteristic
267#2347C2212yes—
268#2345C2212yes—
269#2345C2212yes—
270#2330C2212yes—
271#2330C2212yes—
272#2320C2212yes—
273#2313C2214yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284#2295C2211yescharacteristic
285#2295C2211yescharacteristic
286C2×#389C2212yes—
287C2×#389C2212yes—
288#2290C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291C2×#384C2212yes—
292C2×#384C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2212yes—
295#2283C2212yes—
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—48no—
300#541—48no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2314yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125—48no—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#123C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2314yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×#117C2312yes—
345C2×#117C2312yes—
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2314yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2314yes—
354C22×C4⋊C4C2314yes—
355C22×C4⋊C4C2311yescharacteristic
356C22×C42C2312yes—
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2312yes—
360#401C2314yes—
361#401C2312yes—
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
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#400C2312yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2312yes—
441#398C2312yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2314yes—
463#398C2312yes—
464#398C2312yes—
465#398C2312yes—
466#398C2312yes—
467#397C2312yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2312yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2312yes—
491#395C2314yes—
492#393C2312yes—
493#393C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2314yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2312yes—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2314yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2314yes—
695#384C2311yescharacteristic
696#384C2314yes—
697#384C2312yes—
698#383C2314yes—
699#383C2314yes—
700#383C2312yes—
701#383C2314yes—
702#383C2312yes—
703#383C2314yes—
704#383C2312yes—
705#383C2314yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#381C2312yes—
723#381C2314yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2314yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×D4C2411yescharacteristic
819C23×C4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C4⋊Q8—24no—
831C4⋊Q8—44no—
832C4⋊Q8—42no—
833C4⋊Q8—44no—
834C4⋊Q8—48no—
835C4⋊Q8—44no—
836#126—48no—
837#126—48no—
838#125—28no—
839#125—28no—
840#125—24no—
841#125—44no—
842#125—44no—
843#125—44no—
844#125—44no—
845#125—48no—
846#125—48no—
847#125—48no—
848#125—48no—
849#125—48no—
850#125—48no—
851#123—44no—
852C22⋊Q8—24no—
853C22⋊Q8—24no—
854C22⋊Q8—28no—
855C22⋊Q8—24no—
856C22⋊Q8—44no—
857C22⋊Q8—48no—
858C22⋊Q8—42no—
859C22⋊Q8—44no—
860C4×Q8—28no—
861C4×Q8—24no—
862C4×Q8—24no—
863C4×Q8—44no—
864C4×Q8—48no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×D4—24no—
870C4×D4—24no—
871C4×D4—42no—
872#117—44no—
873#117—44no—
874C2×C4⋊C4—24no—
875C2×C4⋊C4—24no—
876C2×C4⋊C4—24no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—42no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4—48no—
881C2×C4⋊C4—48no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4—48no—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C42—28no—
1000C2×C42—24no—
1001C2×C42—24no—
1002C2×C42—44no—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134C24C2511yescharacteristic
1135C24C2511yescharacteristic
1136C2×Q8—24no—
1137C2×Q8—22no—
1138C2×Q8—22no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—24no—
1144C2×Q8—22no—
1145C2×Q8—42no—
1146C2×Q8—44no—
1147C2×Q8—42no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—42no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—22no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—28no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—42no—
1176C22×C4—41no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—42no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—42no—
1185C22×C42−1+414yes—
1186C22×C42−1+414yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—28no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—41no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4H(5,𝔽2)14yes—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—22no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—41no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C42—24no—
1336C42—24no—
1337C42—24no—
1338C42—28no—
1339C42—22no—
1340C42—22no—
1341C42—24no—
1342C42—22no—
1343C42—24no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—22no—
1348C42—24no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—22no—
1356C42—42no—
1357C42—42no—
1358C42—44no—
1359C42—41no—
1360C42—44no—
1361C42—44no—
1362C42—41no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C422−1+414yes—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23C2×2−1+412yes—
1380C23C2×2−1+412yes—
1381C23#58512yes—
1382C23C2611yescharacteristic
1383Q8—48no—
1384Q8—44no—
1385Q8—44no—
1386Q8—84no—
1387Q8—88no—
1388D4—44no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—21no—
1397C2×C4—28no—
1398C2×C4—28no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—48no—
1481C2×C4—44no—
1482C2×C4—48no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—82no—
1486C2×C4—84no—
1487C2×C4—88no—
1488C2×C4—84no—
1489C2×C4C2×H(5,𝔽2)14yes—
1490C2×C4C2×H(5,𝔽2)12yes—
1491C2×C4C2×2−1+412yes—
1492C2×C4C2×2−1+412yes—
1493C2×C4C2×2−1+412yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4#58512yes—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22#355514yes—
1513C22C22×H(5,𝔽2)11yescharacteristic
1514C22C22×2−1+411yescharacteristic
1515C22C22×2−1+411yescharacteristic
1516C22C22×2−1+411yescharacteristic
1517C22C2×#58511yescharacteristic
1518C22C2×#58511yescharacteristic
1519C222−1+611yescharacteristic
1520C4—22no—
1521C4—22no—
1522C4—24no—
1523C4—22no—
1524C4—41no—
1525C4—42no—
1526C4—41no—
1527C4—44no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—41no—
1532C4—42no—
1533C4—44no—
1534C4—42no—
1535C4—44no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—41no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—42no—
1550C4—44no—
1551C4#355214yes—
1552C4#356314yes—
1553C2—24no—
1554C2—81no—
1555C2C2×#356311yescharacteristic
1556C2C2×#355211yescharacteristic
1557C2C2×#355511yescharacteristic
1558C2#6291511yescharacteristic
1559C2#6292811yescharacteristic
1560C2#6295611yescharacteristic
1561C2#6301911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59667C2semidirect
2. #59322C2semidirect
3. #59242C2semidirect
5. #59154C2semidirect
6. #58769C2semidirect
7. #58766C2semidirect
8. #53091C2semidirect
9. #53034C2semidirect
10. #53028C2semidirect
11. #52996C2semidirect
13. #42879C2semidirect
14. #42774C2semidirect
15. #42716C2semidirect
16. #42527C2semidirect
17. #40564C2semidirect
18. #39754C2semidirect
19. #39512C2semidirect
21. #39353C2semidirect
22. #39183C2semidirect
23. #38933C2semidirect
24. #38066C2semidirect
26. #37630C2semidirect
27. #37624C2semidirect
28. #37623C2semidirect
30. #36599C2semidirect
32. #36177C2semidirect
33. C2×#2552C2semidirect

Maximal subgroups

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

subgroupindex
#596672
#593222
#592422
#592402
#591542
#587692
#587662
#530912
#530342
#530282
#529962
#523772
#428792
#427742
#427162
#425272
#405642
#397542
#395122
#394762
#393532
#391832
#389332
#380662
#377052
#376302
#376242
#376232
#375032
#365992
#361892
#361772
C2×#25522
#347802
#347722