Finite Group Databasebeta

← #7732422

Subgroups — #7732422

Order 512.

4324 conjugacy classes of subgroups.

The subgroup lattice has 1615 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51238C214yesmaximal, complemented
2#50731C214yesmaximal, complemented
3#47233C214yesmaximal, complemented
4#46467C214yesmaximal, complemented
5#45397C212yesmaximal, complemented
6#45396C212yesmaximal, complemented
7#44978C212yesmaximal, complemented
8#44977C212yesmaximal, complemented
9#39763C211yesmaximal, characteristic, complemented
10#39635C211yesmaximal, characteristic, complemented
11#39083C212yesmaximal, complemented
12#39069C212yesmaximal
13#38976C211yesmaximal, characteristic, complemented
14#38975C211yesmaximal, characteristic, complemented
15#38267C212yesmaximal, complemented
16#38253C212yesmaximal, complemented
17#37947C212yesmaximal, complemented
18#37939C212yesmaximal, complemented
19#37897C212yesmaximal, complemented
20#37887C212yesmaximal, complemented
21#37622C211yesmaximal, characteristic, complemented
22#37368C212yesmaximal, complemented
23#37367C212yesmaximal, complemented
24#36590C211yesmaximal, characteristic, complemented
25#36555C211yesmaximal, characteristic, complemented
26#36312C211yesmaximal, characteristic, complemented
27#36312C211yesmaximal, characteristic, complemented
28#35658C212yesmaximal, complemented
29#35642C212yesmaximal, complemented
30#35286C211yesmaximal, characteristic, complemented
31#35280C211yesmaximal, characteristic, complemented
32#34910C211yesmaximal, characteristic
33#34384C211yesmaximal, characteristic, complemented
34#34193C211yesmaximal, characteristic, complemented
35#34085C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2212yes—
40#2861C2212yes—
41#2860C2212yes—
42#2860C2212yes—
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2212yes—
48#2857C2212yes—
49#2814C2214yes—
50#2802C2214yes—
51#2802C2214yes—
52#2801C2214yes—
53#2800C2214yes—
54#2800C2214yes—
55#2796C2214yes—
56#2795C2214yes—
57#2786C2214yes—
58#2783C2214yes—
59#2781C2214yes—
60#2779C2214yes—
61#2776C2214yes—
62#2772C2214yes—
63#2772C2214yes—
64#2770C2214yes—
65#2770C2214yes—
66#2766C2214yes—
67#2766C2214yes—
68#2761C2214yes—
69#2756C2214yes—
70#2753C2214yes—
71#2747C2214yes—
72#2747C2214yes—
73#2747C2214yes—
74#2747C2214yes—
75#2746C2214yes—
76#2741C2214yes—
77#2741C2214yes—
78#2741C2214yes—
79#2741C2214yes—
80#2739C2214yes—
81#2738C2214yes—
82#2725C2214yes—
83#2719C2214yes—
84#2718C2214yes—
85#2707C2214yes—
86#2702C2214yes—
87#2698C2214yes—
88#2690C2214yes—
89#2687C2214yes—
90#2664C2214yes—
91#2647C2212yes—
92#2647C2212yes—
93#2647C2212yes—
94#2645C2212yes—
95#2644C2212yes—
96#2641C2212yes—
97#2629C2214yes—
98#2628C2212yes—
99#2625C2212yes—
100#2624C2212yes—
101#2621C2212yes—
102#2612C2214yes—
103#2606C2214yes—
104#2606C2214yes—
105#2602C2212yes—
106#2602C2212yes—
107#2602C2214yes—
108#2601C2212yes—
109#2601C2212yes—
110#2597C2214yes—
111#2596C2214yes—
112#2596C2214yes—
113#2594C2214yes—
114#2594C2214yes—
115#2592C2212yes—
116#2590C2214yes—
117#2587C2214yes—
118#2585C2214yes—
119#2585C2214yes—
120#2584C2212yes—
121#2582C2212yes—
122#2582C2211yescharacteristic
123#2582C2211yescharacteristic
124#2582C2211yescharacteristic
125#2582C2211yescharacteristic
126#2578C2214yes—
127#2571C2212yes—
128#2571C2212yes—
129#2570C2214yes—
130#2566C2211yescharacteristic
131#2565C2211yescharacteristic
132#2562C2214yes—
133#2553C2214yes—
134#2552C2212yes—
135#2552C2212yes—
136#2545C2211yescharacteristic
137#2544C2211yescharacteristic
138#2538C2211yescharacteristic
139#2538C2211yescharacteristic
140#2538C2211yescharacteristic
141#2538C2211yescharacteristic
142#2538C2212yes—
143#2533C2214yes—
144#2532C2214yes—
145#2531C2214yes—
146#2530C2214yes—
147#2530C2214yes—
148#2530C2214yes—
149#2529C2214yes—
150#2529C2214yes—
151#2529C2214yes—
152#2527C2214yes—
153#2525C2214yes—
154#2522C2214yes—
155#2522C2214yes—
156#2522C2214yes—
157#2520C2214yes—
158#2519C2214yes—
159#2519C2214yes—
160#2519C2214yes—
161#2515C2214yes—
162#2514C2212yes—
163#2514C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2511C2212yes—
168#2511C2212yes—
169#2511C2212yes—
170#2508C2212yes—
171#2508C2212yes—
172#2508C2212yes—
173#2507C2214yes—
174#2507C2212yes—
175#2507C2212yes—
176#2507C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2500C2211yescharacteristic
180#2499C2211yescharacteristic
181#2497C2212yes—
182#2496C2212yes—
183#2496C2212yes—
184#2494C2212yes—
185#2494C2214yes—
186#2486C2212yes—
187#2485C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2468C2214yes—
191#2467C2214yes—
192#2454C2212yes—
193#2453C2212yes—
194#2453C2212yes—
195#2453C2212yes—
196#2448C2212yes—
197#2448C2212yes—
198#2446C2212yes—
199#2445C2212yes—
200#2442C2212yes—
201#2442C2212yes—
202#2442C2212yes—
203#2442C2212yes—
204#2432C2211yescharacteristic
205#2431C2211yescharacteristic
206#2423C2212yes—
207#2423C2212yes—
208#2423C2212yes—
209#2421C2212yes—
210#2417C2212yes—
211#2417C2212yes—
212#2417C2212yes—
213#2417C2214yes—
214#2415C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2392C2212yes—
220#2392C2212yes—
221#2383C2214yes—
222#2362C2212yes—
223#2362C2212yes—
224#2362C2212yes—
225#2361C2212yes—
226#2360C2212yes—
227#2360C2212yes—
228#2355C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2212yes—
233#2354C2212yes—
234#2352C2212yes—
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2212yes—
240#2347C2214yes—
241#2347C2212yes—
242#2347C2212yes—
243#2346C2212yes—
244#2346C2212yes—
245#2345C2212yes—
246#2341C2212yes—
247#2336C2212yes—
248#2336C2212yes—
249#2332C2212yes—
250#2332C2212yes—
251#2331C2211yescharacteristic
252#2331C2211yescharacteristic
253#2330C2212yes—
254#2330C2212yes—
255#2327C2211yescharacteristic
256#2327C2211yescharacteristic
257#2327C2212yes—
258#2326C2212yes—
259#2323C2211yescharacteristic
260#2323C2211yescharacteristic
261#2323C2211yescharacteristic
262#2323C2211yescharacteristic
263#2322C2214yes—
264#2320C2212yes—
265#2319C2212yes—
266#2319C2214yes—
267#2319C2212yes—
268#2317C2212yes—
269#2317C2212yes—
270#2316C2212yes—
271#2316C2212yes—
272#2314C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#125C2212yes—
277C4×#124C2212yes—
278C4×#124C2211yescharacteristic
279C4×#124C2211yescharacteristic
280#2298C2212yes—
281#2298C2212yes—
282#2295C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2290C2212yes—
289#2290C2212yes—
290#2285C2212yes—
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2212yes—
295#2276C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#533—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×#127C2311yescharacteristic
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×#121C2311yescharacteristic
331C4×#41—28no—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371#401C2314yes—
372#401C2314yes—
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#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#398C2312yes—
396#398C2312yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2312yes—
442#396C2314yes—
443#396C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#395C2314yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#393C2314yes—
465#392C2312yes—
466#392C2312yes—
467#391C2311yescharacteristic
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2312yes—
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#383C2314yes—
707#383C2312yes—
708#383C2314yes—
709#383C2314yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2314yes—
714#382C2314yes—
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2314yes—
723#382C2312yes—
724#381C2312yes—
725#381C2314yes—
726#381C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2312yes—
805#376C2311yescharacteristic
806#376C2311yescharacteristic
807#376C2314yes—
808#376C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2411yescharacteristic
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839#127—42no—
840#126—28no—
841#126—84no—
842#126—84no—
843#125—24no—
844#125—28no—
845#125—44no—
846#125—44no—
847#125—84no—
848#125—82no—
849#125—82no—
850#124—24no—
851#124—24no—
852#124—42no—
853#123—28no—
854#123—84no—
855C22⋊Q8—24no—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—28no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—84no—
864#121—24no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—28no—
872C4×Q8—42no—
873C4×Q8—42no—
874C4×Q8—42no—
875C4×Q8—42no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—84no—
888#117—24no—
889#117—28no—
890#117—28no—
891#117—28no—
892#117—42no—
893#117—42no—
894#117—44no—
895#117—44no—
896#117—44no—
897#117—44no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4—82no—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C42—28no—
1026C2×C42#4118yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147C24C2512yes—
1148C24C2512yes—
1149C24C2511yescharacteristic
1150#41—416no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q82−1+414yes—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—24no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
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—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4C2×#4114yes—
1209C22×C4C2×#4114yes—
1210C22×C4C2×#4114yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2514yes—
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2514yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
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—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—28no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—24no—
1381C42—22no—
1382C42—22no—
1383C42—41no—
1384C42—41no—
1385C42—42no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C42—42no—
1395C42—42no—
1396C42—42no—
1397C42—42no—
1398C42—41no—
1399C42—41no—
1400C42—42no—
1401C42—42no—
1402C42C2×#4114yes—
1403C42C2×#4114yes—
1404C42C2×#4114yes—
1405C42C2×#4114yes—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23C22×#4112yes—
1427C23C2611yescharacteristic
1428Q8—28no—
1429Q8—44no—
1430Q8—44no—
1431Q8—44no—
1432Q8—84no—
1433D4—48no—
1434D4—48no—
1435D4—44no—
1436D4—44no—
1437D4—84no—
1438D4—84no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—28no—
1450C2×C4—28no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—44no—
1527C2×C4—48no—
1528C2×C4—48no—
1529C2×C4—48no—
1530C2×C4—84no—
1531C2×C4—164no—
1532C2×C4—164no—
1533C2×C4C22×#4112yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4112yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4112yes—
1538C2×C4C22×#4112yes—
1539C2×C4C2×2−1+414yes—
1540C2×C4C2×2−1+412yes—
1541C2×C4#58512yes—
1542C2×C4#58512yes—
1543C2×C4#58512yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22C23×#4111yescharacteristic
1566C22C22×2−1+411yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22C2×#58511yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22H(7,𝔽2)11yescharacteristic
1571C222−1+611yescharacteristic
1572C4—22no—
1573C4—24no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—44no—
1590C4—42no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—44no—
1595C4—42no—
1596C4—44no—
1597C4—41no—
1598C4—42no—
1599C4—41no—
1600C4—44no—
1601C4—41no—
1602C4#349514yes—
1603C4#351214yes—
1604C2—42no—
1605C2—82no—
1606C2—82no—
1607C2C2×#349511yescharacteristic
1608C2C2×#351211yescharacteristic
1609C2#6285611yescharacteristic
1610C2#6295211yescharacteristic
1611C2#6295311yescharacteristic
1612C2#6296611yescharacteristic
1613C2#6296711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2431C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #51238C2semidirect
2. #50731C2semidirect
3. #47233C2semidirect
4. #46467C2semidirect
5. #45397C2semidirect
6. #45396C2semidirect
7. #44978C2semidirect
8. #44977C2semidirect
9. #39763C2semidirect
10. #39635C2semidirect
11. #39083C2semidirect
13. #38976C2semidirect
14. #38975C2semidirect
15. #38267C2semidirect
16. #38253C2semidirect
17. #37947C2semidirect
18. #37939C2semidirect
19. #37897C2semidirect
20. #37887C2semidirect
21. #37622C2semidirect
22. #37368C2semidirect
23. #37367C2semidirect
24. #36590C2semidirect
25. #36555C2semidirect
26. #36312C2semidirect
27. #36312C2semidirect
28. #35658C2semidirect
29. #35642C2semidirect
30. #35286C2semidirect
31. #35280C2semidirect
33. #34384C2semidirect
34. #34193C2semidirect
35. #34085C2semidirect

Maximal subgroups

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

subgroupindex
#512382
#507312
#472332
#464672
#453972
#453962
#449782
#449772
#397632
#396352
#390832
#390692
#389762
#389752
#382672
#382532
#379472
#379392
#378972
#378872
#376222
#373682
#373672
#365902
#365552
#363122
#356582
#356422
#352862
#352802
#349102
#343842
#341932
#340852