Finite Group Databasebeta

← #8424634

Subgroups — #8424634

Order 512.

4247 conjugacy classes of subgroups.

The subgroup lattice has 1578 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59437C211yesmaximal, characteristic, complemented
3#59428C211yesmaximal, characteristic, complemented
4#59332C212yesmaximal, complemented
5#59069C212yesmaximal, complemented
6#56768C214yesmaximal, complemented
7#55923C214yesmaximal, complemented
8#53026C212yesmaximal, complemented
9#53013C212yesmaximal, complemented
10#53003C212yesmaximal, complemented
11#52999C212yesmaximal, complemented
12#52607C214yesmaximal, complemented
13#42750C212yesmaximal, complemented
14#42728C212yesmaximal, complemented
15#42649C212yesmaximal, complemented
16#42573C212yesmaximal, complemented
17#41326C214yesmaximal, complemented
18#40095C212yesmaximal, complemented
19#39901C212yesmaximal, complemented
20#39754C211yesmaximal, characteristic, complemented
21#39753C211yesmaximal, characteristic, complemented
22#39377C211yesmaximal, characteristic
23#39193C211yesmaximal, characteristic
24#39152C212yesmaximal, complemented
25#37796C212yesmaximal, complemented
26#37628C211yesmaximal, characteristic, complemented
27#37628C211yesmaximal, characteristic, complemented
28#37561C212yesmaximal, complemented
29#37526C212yesmaximal, complemented
30#36563C211yesmaximal, characteristic, complemented
31#36477C211yesmaximal, characteristic, complemented
32#36165C211yesmaximal, characteristic, complemented
33#34945C211yesmaximal, characteristic, complemented
34#34932C211yesmaximal, characteristic
35#34893C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#542C2212yes—
38C2×#529C2212yes—
39#2868C2211yescharacteristic
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2855C2212yes—
43#2851C2212yes—
44#2845C2214yes—
45#2844C2214yes—
46#2839C2214yes—
47#2839C2214yes—
48#2838C2214yes—
49#2836C2214yes—
50#2836C2214yes—
51#2836C2214yes—
52#2836C2214yes—
53#2835C2214yes—
54#2834C2214yes—
55#2831C2214yes—
56#2827C2214yes—
57#2814C2214yes—
58#2802C2214yes—
59#2802C2214yes—
60#2802C2214yes—
61#2794C2214yes—
62#2791C2214yes—
63#2787C2214yes—
64#2787C2214yes—
65#2786C2214yes—
66#2783C2214yes—
67#2779C2214yes—
68#2776C2214yes—
69#2775C2214yes—
70#2774C2214yes—
71#2773C2214yes—
72#2766C2214yes—
73#2758C2214yes—
74#2757C2214yes—
75#2755C2214yes—
76#2754C2214yes—
77#2744C2214yes—
78#2724C2214yes—
79#2722C2214yes—
80#2722C2214yes—
81#2722C2214yes—
82#2720C2214yes—
83#2718C2214yes—
84#2717C2214yes—
85#2715C2214yes—
86#2715C2214yes—
87#2713C2214yes—
88#2707C2214yes—
89#2695C2214yes—
90#2690C2214yes—
91#2689C2214yes—
92#2689C2214yes—
93#2680C2214yes—
94#2674C2214yes—
95#2666C2214yes—
96#2666C2214yes—
97#2666C2214yes—
98#2660C2212yes—
99#2660C2212yes—
100#2659C2214yes—
101#2655C2214yes—
102#2655C2214yes—
103#2654C2214yes—
104#2654C2214yes—
105#2652C2214yes—
106#2647C2212yes—
107#2647C2212yes—
108#2646C2214yes—
109#2644C2212yes—
110#2644C2212yes—
111#2628C2212yes—
112#2625C2212yes—
113#2625C2212yes—
114#2625C2214yes—
115#2625C2212yes—
116#2621C2212yes—
117#2621C2212yes—
118#2608C2214yes—
119#2590C2214yes—
120#2589C2212yes—
121#2587C2212yes—
122#2587C2214yes—
123#2584C2212yes—
124#2584C2211yescharacteristic
125#2582C2212yes—
126#2581C2212yes—
127#2581C2212yes—
128#2580C2211yescharacteristic
129#2577C2214yes—
130#2575C2214yes—
131#2573C2212yes—
132#2573C2212yes—
133#2573C2214yes—
134#2571C2211yescharacteristic
135#2571C2211yescharacteristic
136#2571C2211yescharacteristic
137#2571C2212yes—
138#2570C2212yes—
139#2570C2212yes—
140#2570C2212yes—
141#2570C2212yes—
142#2568C2211yescharacteristic
143#2567C2212yes—
144#2566C2212yes—
145#2566C2211yescharacteristic
146#2565C2212yes—
147#2553C2214yes—
148#2552C2212yes—
149#2552C2212yes—
150#2552C2211yescharacteristic
151#2550C2212yes—
152#2550C2212yes—
153#2550C2211yescharacteristic
154#2550C2212yes—
155#2547C2211yescharacteristic
156#2547C2212yes—
157#2547C2211yescharacteristic
158#2546C2212yes—
159#2546C2211yescharacteristic
160#2546C2211yescharacteristic
161#2542C2211yescharacteristic
162#2538C2211yescharacteristic
163#2538C2211yescharacteristic
164#2538C2211yescharacteristic
165#2537C2211yescharacteristic
166#2523C2214yes—
167#2522C2212yes—
168#2517C2214yes—
169#2514C2212yes—
170#2514C2211yescharacteristic
171#2514C2211yescharacteristic
172#2513C2212yes—
173#2513C2212yes—
174#2511C2212yes—
175#2509C2212yes—
176#2509C2211yescharacteristic
177#2508C2212yes—
178#2508C2212yes—
179#2508C2212yes—
180#2507C2212yes—
181#2507C2211yescharacteristic
182#2507C2212yes—
183#2507C2212yes—
184#2507C2212yes—
185#2507C2212yes—
186#2506C2212yes—
187#2505C2214yes—
188#2505C2214yes—
189#2504C2212yes—
190#2501C2212yes—
191#2498C2214yes—
192#2497C2212yes—
193#2496C2212yes—
194#2496C2212yes—
195#2496C2212yes—
196#2496C2214yes—
197#2496C2212yes—
198#2495C2212yes—
199#2495C2212yes—
200#2495C2212yes—
201#2494C2212yes—
202#2494C2212yes—
203#2491C2212yes—
204#2490C2212yes—
205#2489C2212yes—
206#2488C2214yes—
207#2478C2214yes—
208#2478C2214yes—
209#2478C2214yes—
210#2478C2214yes—
211#2466C2214yes—
212#2465C2212yes—
213#2454C2211yescharacteristic
214#2453C2212yes—
215#2452C2211yescharacteristic
216#2451C2212yes—
217#2451C2212yes—
218#2451C2212yes—
219#2447C2212yes—
220#2447C2214yes—
221#2447C2211yescharacteristic
222#2447C2211yescharacteristic
223#2446C2212yes—
224#2446C2212yes—
225#2446C2212yes—
226#2442C2212yes—
227#2442C2212yes—
228#2442C2212yes—
229#2442C2212yes—
230#2440C2212yes—
231#2440C2212yes—
232#2438C2214yes—
233#2438C2214yes—
234#2429C2212yes—
235#2429C2212yes—
236#2429C2212yes—
237#2427C2212yes—
238#2427C2212yes—
239#2423C2212yes—
240#2422C2212yes—
241#2422C2212yes—
242#2421C2212yes—
243#2421C2212yes—
244#2421C2212yes—
245#2419C2214yes—
246#2401C2212yes—
247#2401C2212yes—
248#2396C2212yes—
249#2396C2212yes—
250#2395C2214yes—
251#2370C2212yes—
252#2370C2212yes—
253#2369C2212yes—
254#2367C2212yes—
255#2365C2212yes—
256#2359C2214yes—
257#2357C2212yes—
258#2355C2211yescharacteristic
259#2355C2211yescharacteristic
260#2355C2212yes—
261Q8×C4⋊C4C2211yescharacteristic
262Q8×C4⋊C4C2211yescharacteristic
263Q8×C4⋊C4C2212yes—
264#2349C2212yes—
265#2349C2212yes—
266D4×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2211yescharacteristic
268#2345C2212yes—
269#2344C2212yes—
270#2336C2214yes—
271#2331C2212yes—
272#2330C2212yes—
273#2324C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#124C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×#121C2212yes—
288#2296C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293#2285C2212yes—
294#2283C2212yes—
295C2×#382C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#556—48no—
300#542—48no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309#529—48no—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C2×#117C2314yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C42C2312yes—
364C22×C42C2312yes—
365#401C2312yes—
366#401C2314yes—
367#401C2312yes—
368#400C2312yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
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#398C2312yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#396C2312yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2312yes—
490#395C2312yes—
491#395C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2314yes—
497#393C2312yes—
498#393C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2314yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
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#387C2312yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2314yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#383C2312yes—
706#383C2312yes—
707#383C2314yes—
708#383C2314yes—
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2314yes—
724#382C2314yes—
725#382C2314yes—
726#382C2314yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#381C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2414yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2414yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2414yes—
829C23×C4C2412yes—
830C4⋊Q8—24no—
831C4⋊Q8—44no—
832C4⋊Q8—42no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—42no—
837C4⋊Q8—44no—
838#126—48no—
839#126—48no—
840#126—48no—
841#126—48no—
842#125—24no—
843#125—44no—
844#125—44no—
845#125—42no—
846#125—44no—
847#125—48no—
848#124—28no—
849#124—24no—
850#124—24no—
851#124—48no—
852#123—48no—
853#123—48no—
854#123—48no—
855C22⋊Q8—48no—
856C22⋊Q8—48no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863#121—28no—
864#121—44no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—42no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×D4—24no—
877C4×D4—28no—
878C4×D4—24no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—44no—
882C4×D4—42no—
883C4×D4—42no—
884C4×D4—48no—
885#117—44no—
886#117—44no—
887#117—48no—
888#117—48no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C42—28no—
1014C2×C42—44no—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
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—
1139C24C2512yes—
1140C24C2512yes—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—41no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×D4—28no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4H(5,𝔽2)14yes—
1168C22×C4—24no—
1169C22×C4—28no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—44no—
1280C4⋊C4—41no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C42—22no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—42no—
1368C42—42no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—44no—
1376C42—44no—
1377C42—41no—
1378C42—41no—
1379C42—44no—
1380C42—44no—
1381C422−1+414yes—
1382C422−1+414yes—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23C2×H(5,𝔽2)14yes—
1397C23C2611yescharacteristic
1398Q8—44no—
1399Q8—44no—
1400Q8—48no—
1401Q8—44no—
1402Q8—84no—
1403Q8—164no—
1404D4—28no—
1405D4—44no—
1406D4—88no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
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—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—48no—
1499C2×C4—84no—
1500C2×C4—84no—
1501C2×C4—88no—
1502C2×C4—84no—
1503C2×C4—164no—
1504C2×C4C2×H(5,𝔽2)12yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+412yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4#58512yes—
1512C2×C4#58512yes—
1513C2×C4#58512yes—
1514C22—24no—
1515C22—24no—
1516C22—24no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22C22×H(5,𝔽2)11yescharacteristic
1529C22C22×2−1+411yescharacteristic
1530C22C22×2−1+411yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22C2×#58511yescharacteristic
1533C22C2×#58511yescharacteristic
1534C222−1+611yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—42no—
1540C4—42no—
1541C4—44no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—41no—
1547C4—41no—
1548C4—42no—
1549C4—42no—
1550C4—44no—
1551C4—44no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—42no—
1556C4—41no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—44no—
1565C4—42no—
1566C4#355514yes—
1567C4#355914yes—
1568C2—44no—
1569C2—82no—
1570C2C2×#355911yescharacteristic
1571C2C2×#355511yescharacteristic
1572C2#6275211yescharacteristic
1573C2#6291511yescharacteristic
1574C2#6295611yescharacteristic
1575C2#6296811yescharacteristic
1576C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59681C2semidirect
2. #59437C2semidirect
3. #59428C2semidirect
4. #59332C2semidirect
5. #59069C2semidirect
6. #56768C2semidirect
7. #55923C2semidirect
8. #53026C2semidirect
9. #53013C2semidirect
10. #53003C2semidirect
11. #52999C2semidirect
12. #52607C2semidirect
13. #42750C2semidirect
14. #42728C2semidirect
15. #42649C2semidirect
16. #42573C2semidirect
17. #41326C2semidirect
18. #40095C2semidirect
19. #39901C2semidirect
20. #39754C2semidirect
21. #39753C2semidirect
24. #39152C2semidirect
25. #37796C2semidirect
26. #37628C2semidirect
27. #37628C2semidirect
28. #37561C2semidirect
29. #37526C2semidirect
30. #36563C2semidirect
31. #36477C2semidirect
32. #36165C2semidirect
33. #34945C2semidirect
35. #34893C2semidirect

Maximal subgroups

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

subgroupindex
#596812
#594372
#594282
#593322
#590692
#567682
#559232
#530262
#530132
#530032
#529992
#526072
#427502
#427282
#426492
#425732
#413262
#400952
#399012
#397542
#397532
#393772
#391932
#391522
#377962
#376282
#375612
#375262
#365632
#364772
#361652
#349452
#349322
#348932