Finite Group Databasebeta

← #8425191

Subgroups — #8425191

Order 512.

4244 conjugacy classes of subgroups.

The subgroup lattice has 1595 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59467C211yesmaximal, characteristic, complemented
2#59451C212yesmaximal, complemented
3#59258C211yesmaximal, characteristic, complemented
4#59243C211yesmaximal, characteristic, complemented
5#59138C212yesmaximal, complemented
6#56963C214yesmaximal, complemented
7#55881C214yesmaximal, complemented
8#53086C212yesmaximal, complemented
9#53072C212yesmaximal, complemented
10#53002C212yesmaximal, complemented
11#52959C212yesmaximal
12#52661C214yesmaximal, complemented
13#42859C212yesmaximal, complemented
14#42753C212yesmaximal, complemented
15#42644C212yesmaximal, complemented
16#42574C212yesmaximal, complemented
17#41333C214yesmaximal, complemented
18#40189C212yesmaximal, complemented
19#40011C212yesmaximal, complemented
20#39753C211yesmaximal, characteristic, complemented
21#39737C211yesmaximal, characteristic, complemented
22#39369C211yesmaximal, characteristic, complemented
23#39294C212yesmaximal, complemented
24#39159C211yesmaximal, characteristic, complemented
25#37691C212yesmaximal, complemented
26#37631C211yesmaximal, characteristic, complemented
27#37624C211yesmaximal, characteristic, complemented
28#37593C212yesmaximal, complemented
29#37509C212yesmaximal, complemented
30#36552C211yesmaximal, characteristic, complemented
31#36449C211yesmaximal, characteristic, complemented
32#36194C211yesmaximal, characteristic, complemented
33#34938C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic, complemented
35#34788C211yesmaximal, characteristic
36C2×#552C2212yes—
37C2×#544C2212yes—
38C2×#533C2212yes—
39#2868C2211yescharacteristic
40#2863C2212yes—
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2851C2212yes—
44#2841C2214yes—
45#2839C2214yes—
46#2838C2214yes—
47#2838C2214yes—
48#2838C2214yes—
49#2837C2214yes—
50#2836C2214yes—
51#2835C2214yes—
52#2833C2214yes—
53#2833C2214yes—
54#2832C2214yes—
55#2831C2214yes—
56#2827C2214yes—
57#2814C2214yes—
58#2805C2214yes—
59#2796C2214yes—
60#2791C2214yes—
61#2791C2214yes—
62#2789C2214yes—
63#2787C2214yes—
64#2786C2214yes—
65#2776C2214yes—
66#2775C2214yes—
67#2773C2214yes—
68#2773C2214yes—
69#2772C2214yes—
70#2762C2214yes—
71#2759C2214yes—
72#2758C2214yes—
73#2758C2214yes—
74#2757C2214yes—
75#2747C2214yes—
76#2745C2214yes—
77#2741C2214yes—
78#2732C2214yes—
79#2729C2214yes—
80#2721C2214yes—
81#2720C2214yes—
82#2720C2214yes—
83#2719C2214yes—
84#2719C2214yes—
85#2716C2214yes—
86#2713C2214yes—
87#2713C2214yes—
88#2711C2214yes—
89#2704C2214yes—
90#2695C2214yes—
91#2692C2214yes—
92#2690C2214yes—
93#2681C2214yes—
94#2677C2214yes—
95#2666C2214yes—
96#2663C2214yes—
97#2660C2212yes—
98#2660C2212yes—
99#2655C2214yes—
100#2655C2214yes—
101#2653C2214yes—
102#2652C2214yes—
103#2652C2214yes—
104#2651C2214yes—
105#2650C2214yes—
106#2650C2214yes—
107#2647C2212yes—
108#2645C2212yes—
109#2645C2212yes—
110#2640C2212yes—
111#2629C2212yes—
112#2628C2212yes—
113#2628C2212yes—
114#2628C2212yes—
115#2625C2214yes—
116#2625C2212yes—
117#2620C2212yes—
118#2596C2214yes—
119#2596C2214yes—
120#2594C2214yes—
121#2594C2214yes—
122#2590C2214yes—
123#2590C2214yes—
124#2588C2214yes—
125#2578C2214yes—
126#2571C2212yes—
127#2571C2211yescharacteristic
128#2570C2212yes—
129#2570C2212yes—
130#2568C2212yes—
131#2568C2211yescharacteristic
132#2565C2212yes—
133#2565C2212yes—
134#2563C2212yes—
135#2562C2212yes—
136#2560C2214yes—
137#2552C2211yescharacteristic
138#2552C2212yes—
139#2552C2212yes—
140#2552C2211yescharacteristic
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2551C2212yes—
144#2551C2211yescharacteristic
145#2551C2211yescharacteristic
146#2550C2212yes—
147#2550C2212yes—
148#2550C2212yes—
149#2550C2212yes—
150#2549C2214yes—
151#2547C2211yescharacteristic
152#2542C2212yes—
153#2538C2212yes—
154#2538C2211yescharacteristic
155#2530C2214yes—
156#2530C2212yes—
157#2528C2212yes—
158#2525C2212yes—
159#2517C2212yes—
160#2516C2212yes—
161#2514C2212yes—
162#2513C2211yescharacteristic
163#2513C2212yes—
164#2511C2212yes—
165#2511C2211yescharacteristic
166#2511C2212yes—
167#2510C2212yes—
168#2509C2212yes—
169#2509C2211yescharacteristic
170#2508C2212yes—
171#2507C2212yes—
172#2506C2211yescharacteristic
173#2506C2212yes—
174#2506C2212yes—
175#2506C2212yes—
176#2505C2214yes—
177#2504C2211yescharacteristic
178#2502C2212yes—
179#2499C2214yes—
180#2499C2212yes—
181#2499C2211yescharacteristic
182#2497C2212yes—
183#2497C2212yes—
184#2497C2212yes—
185#2496C2212yes—
186#2495C2212yes—
187#2495C2212yes—
188#2494C2212yes—
189#2494C2212yes—
190#2494C2212yes—
191#2494C2211yescharacteristic
192#2494C2211yescharacteristic
193#2492C2212yes—
194#2492C2212yes—
195#2492C2212yes—
196#2492C2212yes—
197#2492C2212yes—
198#2490C2212yes—
199#2490C2211yescharacteristic
200#2489C2214yes—
201#2489C2211yescharacteristic
202#2487C2211yescharacteristic
203#2485C2212yes—
204#2485C2211yescharacteristic
205#2485C2212yes—
206#2485C2212yes—
207#2477C2214yes—
208#2475C2214yes—
209#2469C2214yes—
210#2465C2214yes—
211#2462C2214yes—
212#2460C2212yes—
213#2458C2214yes—
214#2453C2214yes—
215#2453C2212yes—
216#2453C2212yes—
217#2453C2212yes—
218#2452C2212yes—
219#2451C2212yes—
220#2451C2212yes—
221#2448C2212yes—
222#2448C2212yes—
223#2446C2214yes—
224#2444C2212yes—
225#2442C2212yes—
226#2442C2211yescharacteristic
227#2441C2212yes—
228#2441C2211yescharacteristic
229#2441C2212yes—
230#2441C2212yes—
231#2440C2212yes—
232#2440C2212yes—
233#2440C2212yes—
234#2439C2212yes—
235#2439C2212yes—
236#2439C2212yes—
237#2427C2212yes—
238#2423C2214yes—
239#2422C2212yes—
240#2421C2212yes—
241#2421C2212yes—
242#2421C2212yes—
243#2416C2211yescharacteristic
244#2415C2211yescharacteristic
245#2415C2212yes—
246#2401C2212yes—
247#2401C2212yes—
248#2399C2214yes—
249#2395C2212yes—
250#2395C2212yes—
251#2370C2212yes—
252#2370C2212yes—
253#2369C2212yes—
254#2365C2211yescharacteristic
255#2365C2211yescharacteristic
256#2362C2214yes—
257#2360C2212yes—
258#2355C2212yes—
259#2355C2212yes—
260#2355C2211yescharacteristic
261#2354C2212yes—
262#2354C2211yescharacteristic
263#2354C2212yes—
264#2354C2212yes—
265#2352C2212yes—
266Q8×C4⋊C4C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic
269#2345C2212yes—
270#2336C2214yes—
271#2331C2212yes—
272#2331C2212yes—
273#2323C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×#125C2212yes—
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#124C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2296C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#552—48no—
300#544—48no—
301#533—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2314yes—
340C2×C4×Q8C2314yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2314yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365#401C2314yes—
366#401C2312yes—
367#401C2314yes—
368#401C2314yes—
369#401C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2312yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2314yes—
523#391C2311yescharacteristic
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2314yes—
702#384C2312yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#383C2314yes—
707#383C2314yes—
708#383C2312yes—
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2314yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#381C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2414yes—
817C22×Q8C2414yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2414yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C4⋊Q8—28no—
833C4⋊Q8—24no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—48no—
841#126—48no—
842#125—28no—
843#125—24no—
844#125—44no—
845#125—42no—
846#125—44no—
847#125—44no—
848#125—44no—
849#125—48no—
850#125—48no—
851#125—48no—
852#124—44no—
853#123—48no—
854C22⋊Q8—24no—
855C22⋊Q8—24no—
856C22⋊Q8—48no—
857C22⋊Q8—48no—
858C22⋊Q8—48no—
859C22⋊Q8—48no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—48no—
863C22⋊Q8—44no—
864#121—44no—
865#121—42no—
866#121—42no—
867C4×Q8—24no—
868C4×Q8—48no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—48no—
873C4×Q8—44no—
874C4×D4—24no—
875C4×D4—28no—
876C4×D4—24no—
877C4×D4—44no—
878C4×D4—42no—
879C4×D4—42no—
880C4×D4—44no—
881#117—24no—
882#117—24no—
883#117—44no—
884#117—44no—
885#117—44no—
886#117—44no—
887#117—44no—
888#117—48no—
889C2×C4⋊C4—28no—
890C2×C4⋊C4—42no—
891C2×C4⋊C4—42no—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C42—24no—
1015C2×C42—24no—
1016C2×C42—44no—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139C24C2511yescharacteristic
1140C24C2512yes—
1141C24C2511yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—28no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—41no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—28no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C42−1+414yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2514yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4H(5,𝔽2)14yes—
1313C22⋊C4—24no—
1314C22⋊C4—22no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—22no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—41no—
1340C22⋊C4—44no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—22no—
1370C42—24no—
1371C42—22no—
1372C42—22no—
1373C42—42no—
1374C42—42no—
1375C42—41no—
1376C42—42no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—42no—
1385C42—44no—
1386C422−1+414yes—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—22no—
1395C23—22no—
1396C23—21no—
1397C23—22no—
1398C23—21no—
1399C23—22no—
1400C23—21no—
1401C23—22no—
1402C23—21no—
1403C23—22no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23C2×2−1+412yes—
1408C23C2611yescharacteristic
1409Q8—44no—
1410Q8—48no—
1411Q8—88no—
1412Q8—88no—
1413Q8—164no—
1414D4—44no—
1415D4—44no—
1416D4—84no—
1417D4—84no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—28no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—48no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—88no—
1510C2×C4—82no—
1511C2×C4—82no—
1512C2×C4—84no—
1513C2×C4—84no—
1514C2×C4C2×H(5,𝔽2)14yes—
1515C2×C4C2×H(5,𝔽2)12yes—
1516C2×C4C2×2−1+412yes—
1517C2×C4C2×2−1+412yes—
1518C2×C4C2×2−1+412yes—
1519C2×C4C2×2−1+412yes—
1520C2×C4C2×2−1+412yes—
1521C2×C4#58512yes—
1522C2×C4#58512yes—
1523C2×C4#58512yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—41no—
1536C22—42no—
1537C22—42no—
1538C22—41no—
1539C22—41no—
1540C22—42no—
1541C22—41no—
1542C22—42no—
1543C22—41no—
1544C22—42no—
1545C22C22×H(5,𝔽2)11yescharacteristic
1546C22C22×2−1+411yescharacteristic
1547C22C22×2−1+411yescharacteristic
1548C22C2×#58511yescharacteristic
1549C22C2×#58511yescharacteristic
1550C22C2×#58511yescharacteristic
1551C222−1+611yescharacteristic
1552C4—22no—
1553C4—22no—
1554C4—24no—
1555C4—22no—
1556C4—41no—
1557C4—41no—
1558C4—44no—
1559C4—41no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—44no—
1568C4—44no—
1569C4—41no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—44no—
1575C4—42no—
1576C4—41no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—41no—
1581C4—41no—
1582C4#355214yes—
1583C4#356514yes—
1584C2—42no—
1585C2—81no—
1586C2—82no—
1587C2C2×#356511yescharacteristic
1588C2C2×#355211yescharacteristic
1589C2#6275211yescharacteristic
1590C2#6292211yescharacteristic
1591C2#6295611yescharacteristic
1592C2#6295911yescharacteristic
1593C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2416C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59467C2semidirect
2. #59451C2semidirect
3. #59258C2semidirect
4. #59243C2semidirect
5. #59138C2semidirect
6. #56963C2semidirect
7. #55881C2semidirect
8. #53086C2semidirect
9. #53072C2semidirect
10. #53002C2semidirect
12. #52661C2semidirect
13. #42859C2semidirect
14. #42753C2semidirect
15. #42644C2semidirect
16. #42574C2semidirect
17. #41333C2semidirect
18. #40189C2semidirect
19. #40011C2semidirect
20. #39753C2semidirect
21. #39737C2semidirect
22. #39369C2semidirect
23. #39294C2semidirect
24. #39159C2semidirect
25. #37691C2semidirect
26. #37631C2semidirect
27. #37624C2semidirect
28. #37593C2semidirect
29. #37509C2semidirect
30. #36552C2semidirect
31. #36449C2semidirect
32. #36194C2semidirect
33. #34938C2semidirect
34. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#594672
#594512
#592582
#592432
#591382
#569632
#558812
#530862
#530722
#530022
#529592
#526612
#428592
#427532
#426442
#425742
#413332
#401892
#400112
#397532
#397372
#393692
#392942
#391592
#376912
#376312
#376242
#375932
#375092
#365522
#364492
#361942
#349382
#347932
#347882