Finite Group Databasebeta

← #7987462

Subgroups — #7987462

Order 512.

4300 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59935C212yesmaximal, complemented
2#59870C211yesmaximal, characteristic, complemented
3#59485C212yesmaximal, complemented
4#59134C211yesmaximal, characteristic, complemented
5#59055C211yesmaximal, characteristic, complemented
6#49115C214yesmaximal, complemented
7#49009C214yesmaximal, complemented
8#46223C214yesmaximal, complemented
9#45298C212yesmaximal, complemented
10#45282C212yesmaximal, complemented
11#45201C212yesmaximal, complemented
12#45162C212yesmaximal, complemented
13#42869C212yesmaximal
14#42854C212yesmaximal, complemented
15#42766C212yesmaximal, complemented
16#42726C212yesmaximal, complemented
17#39200C211yesmaximal, characteristic, complemented
18#39149C211yesmaximal, characteristic, complemented
19#38984C211yesmaximal, characteristic, complemented
20#38930C211yesmaximal, characteristic, complemented
21#38265C212yesmaximal, complemented
22#38227C212yesmaximal, complemented
23#38195C214yesmaximal, complemented
24Q8×#126C212yesmaximal, complemented
25#36484C212yesmaximal, complemented
26#36449C211yesmaximal, characteristic, complemented
27#36314C211yesmaximal, characteristic, complemented
28#36129C211yesmaximal, characteristic, complemented
29#35217C212yesmaximal, complemented
30#35188C212yesmaximal, complemented
31#34803C211yesmaximal, characteristic, complemented
32#34800C211yesmaximal, characteristic
33#34481C211yesmaximal, characteristic, complemented
34#34371C211yesmaximal, characteristic, complemented
35#34154C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C22×C4⋊Q8C2211yescharacteristic
39#2866C2214yes—
40#2865C2214yes—
41#2864C2212yes—
42#2863C2212yes—
43#2863C2214yes—
44#2862C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2836C2214yes—
48#2832C2214yes—
49#2809C2214yes—
50#2805C2214yes—
51#2800C2214yes—
52#2798C2214yes—
53#2795C2214yes—
54#2794C2214yes—
55#2794C2214yes—
56#2793C2214yes—
57#2791C2214yes—
58#2784C2214yes—
59#2779C2214yes—
60#2778C2214yes—
61#2776C2214yes—
62#2773C2214yes—
63#2767C2214yes—
64#2766C2214yes—
65#2762C2214yes—
66#2762C2214yes—
67#2759C2214yes—
68#2759C2214yes—
69#2758C2214yes—
70#2754C2214yes—
71#2754C2214yes—
72#2751C2214yes—
73#2745C2214yes—
74#2743C2214yes—
75#2741C2214yes—
76#2741C2214yes—
77#2739C2214yes—
78#2739C2214yes—
79#2738C2214yes—
80#2721C2214yes—
81#2716C2214yes—
82#2655C2214yes—
83#2654C2214yes—
84#2650C2214yes—
85#2650C2214yes—
86#2650C2214yes—
87#2648C2214yes—
88#2647C2212yes—
89#2645C2212yes—
90#2645C2212yes—
91#2625C2212yes—
92#2612C2214yes—
93#2607C2214yes—
94#2596C2214yes—
95#2595C2214yes—
96#2594C2214yes—
97#2592C2212yes—
98#2588C2214yes—
99#2588C2214yes—
100#2582C2212yes—
101#2581C2212yes—
102#2581C2212yes—
103#2581C2212yes—
104#2578C2214yes—
105#2578C2214yes—
106#2577C2214yes—
107#2577C2214yes—
108#2575C2214yes—
109#2574C2214yes—
110#2574C2214yes—
111#2573C2214yes—
112#2571C2211yescharacteristic
113#2571C2211yescharacteristic
114#2570C2212yes—
115#2568C2212yes—
116#2568C2211yescharacteristic
117#2568C2212yes—
118#2567C2212yes—
119#2550C2212yes—
120#2547C2211yescharacteristic
121#2546C2211yescharacteristic
122#2545C2212yes—
123#2542C2211yescharacteristic
124#2542C2212yes—
125#2536C2212yes—
126#2533C2214yes—
127#2533C2214yes—
128#2533C2212yes—
129#2532C2214yes—
130#2532C2212yes—
131#2530C2214yes—
132#2530C2214yes—
133#2528C2214yes—
134#2527C2214yes—
135#2527C2212yes—
136#2526C2212yes—
137#2524C2214yes—
138#2523C2212yes—
139#2521C2214yes—
140#2518C2214yes—
141#2518C2212yes—
142#2516C2214yes—
143#2514C2212yes—
144#2514C2211yescharacteristic
145#2513C2211yescharacteristic
146#2511C2214yes—
147#2511C2212yes—
148#2511C2214yes—
149#2511C2212yes—
150#2511C2212yes—
151#2511C2214yes—
152#2511C2214yes—
153#2509C2212yes—
154#2509C2212yes—
155#2509C2211yescharacteristic
156#2509C2212yes—
157#2508C2211yescharacteristic
158#2503C2212yes—
159#2500C2211yescharacteristic
160#2499C2212yes—
161#2499C2211yescharacteristic
162#2497C2212yes—
163#2497C2214yes—
164#2497C2214yes—
165#2497C2214yes—
166#2497C2214yes—
167#2497C2212yes—
168#2497C2211yescharacteristic
169#2496C2211yescharacteristic
170#2495C2212yes—
171#2495C2212yes—
172#2494C2212yes—
173#2492C2212yes—
174#2492C2212yes—
175#2492C2211yescharacteristic
176#2492C2212yes—
177#2491C2211yescharacteristic
178#2485C2212yes—
179#2485C2211yescharacteristic
180#2485C2211yescharacteristic
181#2481C2214yes—
182#2479C2214yes—
183#2466C2212yes—
184#2459C2212yes—
185#2451C2212yes—
186#2451C2212yes—
187#2448C2212yes—
188#2448C2212yes—
189#2446C2212yes—
190#2446C2212yes—
191#2446C2212yes—
192#2442C2212yes—
193#2439C2211yescharacteristic
194#2439C2212yes—
195#2439C2212yes—
196#2439C2211yescharacteristic
197#2436C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2429C2212yes—
201#2427C2212yes—
202#2426C2212yes—
203#2423C2212yes—
204#2423C2212yes—
205#2421C2212yes—
206#2421C2212yes—
207#2421C2212yes—
208#2421C2212yes—
209#2420C2212yes—
210#2417C2212yes—
211#2417C2212yes—
212#2417C2212yes—
213#2415C2212yes—
214#2415C2211yescharacteristic
215#2414C2211yescharacteristic
216#2409C2212yes—
217#2401C2212yes—
218#2398C2212yes—
219#2398C2212yes—
220#2392C2212yes—
221#2383C2214yes—
222#2381C2214yes—
223#2372C2214yes—
224#2371C2214yes—
225#2367C2212yes—
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2211yescharacteristic
233#2362C2212yes—
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2360C2212yes—
240#2360C2212yes—
241#2356C2212yes—
242#2355C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246Q8×C4⋊C4C2212yes—
247Q8×C4⋊C4C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251#2347C2212yes—
252#2345C2212yes—
253#2345C2212yes—
254#2345C2212yes—
255Q8×C22⋊C4C2212yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259#2334C2214yes—
260#2331C2212yes—
261#2331C2212yes—
262#2327C2212yes—
263#2327C2212yes—
264#2327C2212yes—
265#2326C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2320C2212yes—
269#2320C2212yes—
270#2319C2212yes—
271#2317C2212yes—
272#2313C2214yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#126C2214yes—
277C4×#126C2212yes—
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2298C2214yes—
285#2298C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2295C2212yes—
291#2293C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#556—28no—
301#533—28no—
302C2×C4⋊Q8—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363#401C2312yes—
364#401C2314yes—
365#401C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2312yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2314yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#393C2312yes—
457#393C2314yes—
458#393C2312yes—
459#393C2314yes—
460#393C2314yes—
461#393C2312yes—
462#393C2314yes—
463#393C2312yes—
464#392C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2314yes—
511#390C2311yescharacteristic
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
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#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2314yes—
690#384C2312yes—
691#384C2314yes—
692#384C2312yes—
693#384C2314yes—
694#383C2314yes—
695#383C2312yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#383C2312yes—
700#383C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#381C2312yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809C43C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8—28no—
814C22×Q8—44no—
815C22×Q8—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2414yes—
836C4⋊Q8—28no—
837C4⋊Q8—28no—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—42no—
842C4⋊Q8—42no—
843C4⋊Q8—44no—
844C4⋊Q8#4118yes—
845#126—216no—
846#126—28no—
847#125—28no—
848#124—28no—
849#124—28no—
850#124—44no—
851C22⋊Q8—28no—
852C22⋊Q8—28no—
853C22⋊Q8—28no—
854C22⋊Q8—44no—
855C22⋊Q8—42no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—42no—
859C22⋊Q8—44no—
860#121—42no—
861#121—42no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×D4—24no—
878C4×D4—24no—
879C4×D4—44no—
880C4×D4—42no—
881C4×D4—42no—
882C4×D4—44no—
883C4×D4—44no—
884#117—28no—
885#117—28no—
886#117—44no—
887#117—42no—
888#117—42no—
889#117—42no—
890#117—42no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—28no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C42—24no—
1007C2×C42—24no—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139C24C2512yes—
1140C24C2511yescharacteristic
1141C24C2511yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—28no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—42no—
1162C2×Q8—816no—
1163C2×Q8C2×#4118yes—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—28no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4C2×#4118yes—
1305C4⋊C4C2×#4118yes—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—22no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C42−1+414yes—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—28no—
1354C42—28no—
1355C42—24no—
1356C42—22no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—22no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—22no—
1368C42—22no—
1369C42—42no—
1370C42—42no—
1371C42—41no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42C2×#4114yes—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—22no—
1393C23—21no—
1394C23—22no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—22no—
1404C23—22no—
1405C23—21no—
1406C23C2×2−1+412yes—
1407C23C2611yescharacteristic
1408Q8—216no—
1409Q8—48no—
1410Q8—44no—
1411Q8—48no—
1412Q8—84no—
1413Q8—88no—
1414Q8—84no—
1415D4—44no—
1416D4—44no—
1417D4—84no—
1418D4—84no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—24no—
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—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—88no—
1513C2×C4—164no—
1514C2×C4C22×#4112yes—
1515C2×C4C22×#4118yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4112yes—
1518C2×C4C2×2−1+412yes—
1519C2×C4C2×2−1+412yes—
1520C2×C4#58512yes—
1521C2×C4#58512yes—
1522C2×C4#58512yes—
1523C2×C4#58512yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22—41no—
1537C22—41no—
1538C22—42no—
1539C22—42no—
1540C22—41no—
1541C22—41no—
1542C22—42no—
1543C22—42no—
1544C22—41no—
1545C22C23×#4111yescharacteristic
1546C22C22×2−1+411yescharacteristic
1547C22C2×#58511yescharacteristic
1548C22C2×#58511yescharacteristic
1549C22C2×#58511yescharacteristic
1550C22C2×#58511yescharacteristic
1551C222−1+611yescharacteristic
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—28no—
1556C4—42no—
1557C4—41no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—41no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—41no—
1566C4—41no—
1567C4—44no—
1568C4—42no—
1569C4—41no—
1570C4—41no—
1571C4—42no—
1572C4—44no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—41no—
1578C4—42no—
1579C4—41no—
1580C4—44no—
1581C4—42no—
1582C4#352114yes—
1583C4#352414yes—
1584C2—42no—
1585C2—81no—
1586C2—82no—
1587C2#6276111yescharacteristic
1588C2C2×#352111yescharacteristic
1589C2C2×#352411yescharacteristic
1590C2#6293611yescharacteristic
1591C2#6296811yescharacteristic
1592C2#6299811yescharacteristic
1593C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59935C2semidirect
2. #59870C2semidirect
3. #59485C2semidirect
4. #59134C2semidirect
5. #59055C2semidirect
6. #49115C2semidirect
7. #49009C2semidirect
8. #46223C2semidirect
9. #45298C2semidirect
10. #45282C2semidirect
11. #45201C2semidirect
12. #45162C2semidirect
14. #42854C2semidirect
15. #42766C2semidirect
16. #42726C2semidirect
17. #39200C2semidirect
18. #39149C2semidirect
19. #38984C2semidirect
20. #38930C2semidirect
21. #38265C2semidirect
22. #38227C2semidirect
23. #38195C2semidirect
24. Q8×#126C2semidirect
25. #36484C2semidirect
26. #36449C2semidirect
27. #36314C2semidirect
28. #36129C2semidirect
29. #35217C2semidirect
30. #35188C2semidirect
31. #34803C2semidirect
33. #34481C2semidirect
34. #34371C2semidirect
35. #34154C2semidirect

Maximal subgroups

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

subgroupindex
#599352
#598702
#594852
#591342
#590552
#491152
#490092
#462232
#452982
#452822
#452012
#451622
#428692
#428542
#427662
#427262
#392002
#391492
#389842
#389302
#382652
#382272
#381952
Q8×#1262
#364842
#364492
#363142
#361292
#352172
#351882
#348032
#348002
#344812
#343712
#341542