Finite Group Databasebeta

← #7986140

Subgroups — #7986140

Order 512.

4361 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59893C212yesmaximal, complemented
2#59678C211yesmaximal, characteristic, complemented
3#59243C211yesmaximal, characteristic, complemented
4#59235C211yesmaximal, characteristic, complemented
5#59227C212yesmaximal, complemented
6#50613C214yesmaximal, complemented
7#49419C214yesmaximal, complemented
8#45961C214yesmaximal, complemented
9#45400C212yesmaximal, complemented
10#45301C212yesmaximal, complemented
11#45219C212yesmaximal, complemented
12#45130C212yesmaximal, complemented
13#42903C212yesmaximal, complemented
14#42860C212yesmaximal, complemented
15#42690C212yesmaximal, complemented
16#42662C212yesmaximal, complemented
17#39763C211yesmaximal, characteristic, complemented
18#39737C211yesmaximal, characteristic, complemented
19#39183C211yesmaximal, characteristic, complemented
20#39127C211yesmaximal, characteristic, complemented
21#38479C214yesmaximal, complemented
22#38288C212yesmaximal, complemented
23#37937C212yesmaximal, complemented
24#36505C211yesmaximal, characteristic, complemented
25#36421C212yesmaximal, complemented
26#36417C212yesmaximal, complemented
27#36315C211yesmaximal, characteristic, complemented
28#36209C211yesmaximal, characteristic, complemented
29#35204C212yesmaximal, complemented
30#35163C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic, complemented
32#34727C211yesmaximal, characteristic
33#34488C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2866C2214yes—
40#2865C2214yes—
41#2864C2214yes—
42#2861C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2851C2212yes—
47#2829C2214yes—
48#2829C2214yes—
49#2803C2214yes—
50#2803C2214yes—
51#2803C2214yes—
52#2803C2214yes—
53#2802C2214yes—
54#2801C2214yes—
55#2800C2214yes—
56#2800C2214yes—
57#2800C2214yes—
58#2797C2214yes—
59#2796C2214yes—
60#2795C2214yes—
61#2793C2214yes—
62#2791C2214yes—
63#2786C2214yes—
64#2783C2214yes—
65#2781C2214yes—
66#2781C2214yes—
67#2781C2214yes—
68#2777C2214yes—
69#2777C2214yes—
70#2773C2214yes—
71#2772C2214yes—
72#2768C2214yes—
73#2767C2214yes—
74#2765C2214yes—
75#2756C2214yes—
76#2753C2214yes—
77#2750C2214yes—
78#2744C2214yes—
79#2741C2214yes—
80#2725C2214yes—
81#2707C2214yes—
82#2655C2214yes—
83#2654C2214yes—
84#2652C2214yes—
85#2651C2214yes—
86#2649C2214yes—
87#2648C2214yes—
88#2647C2212yes—
89#2641C2212yes—
90#2629C2212yes—
91#2620C2212yes—
92#2611C2214yes—
93#2609C2214yes—
94#2609C2214yes—
95#2597C2214yes—
96#2597C2214yes—
97#2596C2214yes—
98#2596C2214yes—
99#2596C2214yes—
100#2596C2214yes—
101#2595C2214yes—
102#2594C2214yes—
103#2590C2214yes—
104#2577C2214yes—
105#2576C2214yes—
106#2571C2214yes—
107#2570C2212yes—
108#2565C2212yes—
109#2562C2212yes—
110#2562C2212yes—
111#2562C2212yes—
112#2562C2212yes—
113#2562C2212yes—
114#2552C2211yescharacteristic
115#2552C2212yes—
116#2552C2211yescharacteristic
117#2552C2212yes—
118#2547C2211yescharacteristic
119#2547C2211yescharacteristic
120#2545C2212yes—
121#2544C2212yes—
122#2538C2211yescharacteristic
123#2538C2211yescharacteristic
124#2538C2212yes—
125#2536C2212yes—
126#2536C2212yes—
127#2533C2214yes—
128#2531C2214yes—
129#2530C2212yes—
130#2530C2214yes—
131#2529C2214yes—
132#2529C2214yes—
133#2529C2214yes—
134#2529C2214yes—
135#2528C2214yes—
136#2528C2214yes—
137#2528C2212yes—
138#2526C2214yes—
139#2525C2214yes—
140#2525C2214yes—
141#2522C2214yes—
142#2518C2214yes—
143#2517C2212yes—
144#2517C2214yes—
145#2513C2214yes—
146#2513C2212yes—
147#2513C2212yes—
148#2513C2212yes—
149#2511C2212yes—
150#2511C2212yes—
151#2511C2211yescharacteristic
152#2509C2212yes—
153#2508C2212yes—
154#2508C2212yes—
155#2508C2212yes—
156#2506C2211yescharacteristic
157#2500C2214yes—
158#2499C2211yescharacteristic
159#2499C2212yes—
160#2497C2212yes—
161#2497C2212yes—
162#2497C2212yes—
163#2495C2212yes—
164#2495C2212yes—
165#2494C2212yes—
166#2494C2211yescharacteristic
167#2494C2212yes—
168#2490C2212yes—
169#2489C2212yes—
170#2489C2211yescharacteristic
171#2489C2212yes—
172#2489C2212yes—
173#2489C2212yes—
174#2487C2212yes—
175#2485C2212yes—
176#2485C2212yes—
177#2485C2212yes—
178#2485C2212yes—
179#2485C2211yescharacteristic
180#2485C2212yes—
181#2485C2212yes—
182#2485C2212yes—
183#2479C2212yes—
184#2476C2214yes—
185#2475C2214yes—
186#2475C2214yes—
187#2471C2212yes—
188#2467C2212yes—
189#2460C2214yes—
190#2460C2212yes—
191#2456C2212yes—
192#2454C2211yescharacteristic
193#2453C2212yes—
194#2453C2212yes—
195#2448C2212yes—
196#2448C2212yes—
197#2448C2211yescharacteristic
198#2446C2212yes—
199#2441C2212yes—
200#2441C2211yescharacteristic
201#2441C2211yescharacteristic
202#2432C2212yes—
203#2431C2211yescharacteristic
204#2429C2212yes—
205#2428C2211yescharacteristic
206#2426C2212yes—
207#2426C2212yes—
208#2423C2211yescharacteristic
209#2420C2212yes—
210#2417C2212yes—
211#2415C2212yes—
212#2415C2212yes—
213#2415C2212yes—
214#2415C2211yescharacteristic
215#2414C2211yescharacteristic
216#2407C2211yescharacteristic
217#2401C2212yes—
218#2397C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2382C2214yes—
222#2376C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2367C2212yes—
227#2367C2212yes—
228#2367C2212yes—
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2362C2212yes—
232#2356C2212yes—
233#2355C2211yescharacteristic
234#2355C2212yes—
235#2355C2211yescharacteristic
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic
238#2354C2212yes—
239#2354C2212yes—
240#2354C2212yes—
241#2354C2212yes—
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2212yes—
245#2352C2212yes—
246#2352C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251#2346C2214yes—
252#2346C2212yes—
253#2346C2212yes—
254#2346C2212yes—
255#2346C2214yes—
256#2346C2212yes—
257#2344C2212yes—
258#2341C2212yes—
259#2336C2214yes—
260#2334C2214yes—
261#2330C2212yes—
262#2330C2212yes—
263#2330C2212yes—
264#2327C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2320C2212yes—
270#2320C2212yes—
271#2317C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283#2298C2214yes—
284#2298C2212yes—
285#2295C2211yescharacteristic
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2293C2214yes—
289#2293C2212yes—
290#2290C2212yes—
291#2285C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#557—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×#127C2311yescharacteristic
304#529—28no—
305C2×#126C2312yes—
306C2×#125C2312yes—
307C2×#125C2314yes—
308C2×#125C2311yescharacteristic
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#123C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C4×#41—28no—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2314yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C42C2312yes—
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370#401C2312yes—
371#401C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2312yes—
389#400C2312yes—
390#399C2314yes—
391#399C2314yes—
392#399C2312yes—
393#399C2312yes—
394#399C2312yes—
395#399C2312yes—
396#399C2312yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2312yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2312yes—
446#396C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#392C2312yes—
468#392C2312yes—
469#392C2312yes—
470#392C2312yes—
471#392C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2311yescharacteristic
486#390C2312yes—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2314yes—
491#390C2312yes—
492#390C2314yes—
493#390C2314yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2314yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#383C2314yes—
701#383C2314yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#381C2314yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
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⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2312yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2314yes—
813C2×#41—24no—
814C2×#41—42no—
815C2×#41—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C4⋊Q8—28no—
840C4⋊Q8—24no—
841#127—42no—
842#126—28no—
843#125—24no—
844#125—216no—
845#125—28no—
846#125—44no—
847#125—42no—
848#125—44no—
849#125—44no—
850#125—44no—
851#124—24no—
852#124—44no—
853#124—44no—
854#123—28no—
855C22⋊Q8—24no—
856C22⋊Q8—42no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—42no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862#121—24no—
863#121—44no—
864#121—42no—
865#121—42no—
866C4×Q8—24no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8#4118yes—
875C4×D4—24no—
876C4×D4—28no—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—42no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—42no—
888C4×D4—42no—
889#117—24no—
890#117—28no—
891#117—28no—
892#117—44no—
893#117—48no—
894#117—44no—
895#117—48no—
896#117—44no—
897#117—44no—
898#117—42no—
899#117—44no—
900#117—44no—
901#117—42no—
902C2×C4⋊C4—44no—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C42—24no—
1031C2×C42—28no—
1032C2×C42—24no—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146C24C2512yes—
1147C24C2511yescharacteristic
1148C24C2511yescharacteristic
1149C24C2512yes—
1150#41—416no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8C2×#4114yes—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—42no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—41no—
1218C22×C4—44no—
1219C22×C4—41no—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2514yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—41no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4C2×#4114yes—
1324C4⋊C4C2×#4118yes—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—22no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C42—22no—
1379C42—24no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—28no—
1387C42—24no—
1388C42—28no—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—22no—
1393C42—22no—
1394C42—24no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—44no—
1399C42—42no—
1400C42—41no—
1401C42—44no—
1402C42—44no—
1403C42—42no—
1404C42—44no—
1405C42—44no—
1406C42—42no—
1407C42—44no—
1408C42—41no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42C2×#4114yes—
1414C42C2×#4118yes—
1415C23—22no—
1416C23—21no—
1417C23—22no—
1418C23—21no—
1419C23—22no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—22no—
1426C23—22no—
1427C23—21no—
1428C23—22no—
1429C23—21no—
1430C23—22no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—21no—
1438C23—22no—
1439C23—22no—
1440C23—21no—
1441C23—21no—
1442C23—22no—
1443C23C2611yescharacteristic
1444Q8—28no—
1445Q8—48no—
1446Q8—44no—
1447D4—48no—
1448D4—44no—
1449D4—44no—
1450D4—44no—
1451D4—84no—
1452D4—84no—
1453D4—84no—
1454D4—84no—
1455D4—84no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—44no—
1540C2×C4—48no—
1541C2×C4—48no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—48no—
1547C2×C4—48no—
1548C2×C4—82no—
1549C2×C4—88no—
1550C2×C4C22×#4114yes—
1551C2×C4C22×#4112yes—
1552C2×C4C22×#4114yes—
1553C2×C4C22×#4112yes—
1554C2×C4C22×#4112yes—
1555C2×C4#58512yes—
1556C2×C4#58512yes—
1557C2×C4#58512yes—
1558C2×C4#58512yes—
1559C2×C4#58512yes—
1560C22—41no—
1561C22—42no—
1562C22—41no—
1563C22—42no—
1564C22—42no—
1565C22—41no—
1566C22—41no—
1567C22—42no—
1568C22—41no—
1569C22—42no—
1570C22—42no—
1571C22—41no—
1572C22—42no—
1573C22—41no—
1574C22—41no—
1575C22—42no—
1576C22—42no—
1577C22—41no—
1578C22—42no—
1579C22—41no—
1580C22—41no—
1581C22—42no—
1582C22—41no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—41no—
1587C22—41no—
1588C22C23×#4111yescharacteristic
1589C22C2×#58511yescharacteristic
1590C22C2×#58511yescharacteristic
1591C22C2×#58511yescharacteristic
1592C22C2×#58511yescharacteristic
1593C22C2×#58511yescharacteristic
1594C222−1+611yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—24no—
1598C4—24no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—44no—
1603C4—42no—
1604C4—41no—
1605C4—44no—
1606C4—42no—
1607C4—42no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—44no—
1612C4—41no—
1613C4—42no—
1614C4—41no—
1615C4—42no—
1616C4—42no—
1617C4—41no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—44no—
1623C4—41no—
1624C4#349314yes—
1625C4#352414yes—
1626C2—81no—
1627C2—82no—
1628C2—81no—
1629C2—82no—
1630C2#6276211yescharacteristic
1631C2C2×#349311yescharacteristic
1632C2C2×#352411yescharacteristic
1633C2#6293911yescharacteristic
1634C2#6296711yescharacteristic
1635C2#6299311yescharacteristic
1636C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34727C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59893C2semidirect
2. #59678C2semidirect
3. #59243C2semidirect
4. #59235C2semidirect
5. #59227C2semidirect
6. #50613C2semidirect
7. #49419C2semidirect
8. #45961C2semidirect
9. #45400C2semidirect
10. #45301C2semidirect
11. #45219C2semidirect
12. #45130C2semidirect
13. #42903C2semidirect
14. #42860C2semidirect
15. #42690C2semidirect
16. #42662C2semidirect
17. #39763C2semidirect
18. #39737C2semidirect
19. #39183C2semidirect
20. #39127C2semidirect
21. #38479C2semidirect
22. #38288C2semidirect
23. #37937C2semidirect
24. #36505C2semidirect
25. #36421C2semidirect
26. #36417C2semidirect
27. #36315C2semidirect
28. #36209C2semidirect
29. #35204C2semidirect
30. #35163C2semidirect
31. #34793C2semidirect
33. #34488C2semidirect
34. #34383C2semidirect
35. #34129C2semidirect

Maximal subgroups

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

subgroupindex
#598932
#596782
#592432
#592352
#592272
#506132
#494192
#459612
#454002
#453012
#452192
#451302
#429032
#428602
#426902
#426622
#397632
#397372
#391832
#391272
#384792
#382882
#379372
#365052
#364212
#364172
#363152
#362092
#352042
#351632
#347932
#347272
#344882
#343832
#341292