Finite Group Databasebeta

← #7679760

Subgroups — #7679760

Order 512.

4538 conjugacy classes of subgroups.

The subgroup lattice has 1589 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59715C212yesmaximal, complemented
2#59709C212yesmaximal, complemented
3#59706C214yesmaximal, complemented
4#59583C212yesmaximal, complemented
5#59574C212yesmaximal, complemented
6#59348C214yesmaximal, complemented
7#45341C212yesmaximal, complemented
8#45199C212yesmaximal, complemented
9#45183C212yesmaximal, complemented
10#45174C212yesmaximal, complemented
11#43626C214yesmaximal, complemented
12#43248C214yesmaximal, complemented
13#39802C212yesmaximal, complemented
14#39802C212yesmaximal, complemented
15#39801C212yesmaximal, complemented
16#39800C212yesmaximal, complemented
17#39762C212yesmaximal, complemented
18#39758C212yesmaximal, complemented
19#36608C212yesmaximal, complemented
20#36590C212yesmaximal, complemented
21#35662C211yesmaximal, characteristic, complemented
22#35630C211yesmaximal, characteristic, complemented
23#35629C211yesmaximal, characteristic
24#35519C211yesmaximal, characteristic
25#35330C211yesmaximal, characteristic, complemented
26#35312C211yesmaximal, characteristic
27#35312C211yesmaximal, characteristic
28#34816C211yesmaximal, characteristic
29C2×#2514C211yesmaximal, characteristic, complemented
30#34276C211yesmaximal, characteristic
31#34272C211yesmaximal, characteristic, complemented
32#34254C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic
34#34145C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42#2862C2212yes—
43#2862C2212yes—
44#2862C2212yes—
45#2861C2212yes—
46#2861C2212yes—
47#2859C2212yes—
48#2798C2214yes—
49#2798C2214yes—
50#2789C2214yes—
51#2789C2214yes—
52#2788C2214yes—
53#2787C2214yes—
54#2783C2214yes—
55#2777C2214yes—
56#2776C2214yes—
57#2776C2214yes—
58#2776C2214yes—
59#2776C2214yes—
60#2775C2214yes—
61#2767C2214yes—
62#2767C2214yes—
63#2762C2214yes—
64#2762C2214yes—
65#2759C2214yes—
66#2759C2214yes—
67#2759C2214yes—
68#2758C2214yes—
69#2758C2214yes—
70#2745C2214yes—
71#2689C2214yes—
72#2660C2212yes—
73#2660C2212yes—
74#2642C2212yes—
75#2642C2212yes—
76#2640C2212yes—
77#2640C2212yes—
78#2605C2214yes—
79#2605C2214yes—
80#2604C2214yes—
81#2599C2214yes—
82#2594C2214yes—
83#2594C2214yes—
84#2594C2214yes—
85#2588C2214yes—
86#2588C2214yes—
87#2582C2212yes—
88#2582C2212yes—
89#2582C2212yes—
90#2581C2214yes—
91#2581C2214yes—
92#2581C2212yes—
93#2581C2212yes—
94#2581C2212yes—
95#2580C2212yes—
96#2577C2214yes—
97#2550C2212yes—
98#2550C2212yes—
99#2550C2212yes—
100#2550C2212yes—
101#2549C2214yes—
102#2549C2214yes—
103#2538C2212yes—
104#2532C2214yes—
105#2528C2214yes—
106#2528C2214yes—
107#2527C2214yes—
108#2527C2214yes—
109#2525C2214yes—
110#2525C2214yes—
111#2524C2214yes—
112#2524C2214yes—
113#2523C2214yes—
114#2523C2214yes—
115#2514C2211yescharacteristic
116#2514C2211yescharacteristic
117#2514C2212yes—
118#2514C2212yes—
119#2514C2214yes—
120#2514C2214yes—
121#2514C2214yes—
122#2514C2214yes—
123#2514C2212yes—
124#2514C2212yes—
125#2514C2212yes—
126#2514C2212yes—
127#2514C2212yes—
128#2514C2212yes—
129#2514C2212yes—
130#2514C2212yes—
131#2514C2212yes—
132#2514C2214yes—
133#2514C2214yes—
134#2514C2212yes—
135#2514C2212yes—
136#2514C2212yes—
137#2513C2211yescharacteristic
138#2513C2211yescharacteristic
139#2513C2212yes—
140#2513C2212yes—
141#2512C2211yescharacteristic
142#2512C2211yescharacteristic
143#2511C2211yescharacteristic
144#2511C2211yescharacteristic
145#2511C2212yes—
146#2511C2212yes—
147#2511C2212yes—
148#2511C2212yes—
149#2510C2212yes—
150#2510C2212yes—
151#2510C2214yes—
152#2510C2214yes—
153#2509C2214yes—
154#2509C2214yes—
155#2495C2212yes—
156#2495C2212yes—
157#2494C2212yes—
158#2494C2212yes—
159#2494C2214yes—
160#2493C2214yes—
161#2493C2214yes—
162#2492C2212yes—
163#2492C2212yes—
164#2492C2212yes—
165#2492C2212yes—
166#2489C2212yes—
167#2489C2212yes—
168#2489C2212yes—
169#2489C2212yes—
170#2488C2214yes—
171#2488C2214yes—
172#2488C2214yes—
173#2488C2214yes—
174#2481C2212yes—
175#2481C2212yes—
176#2478C2214yes—
177#2469C2214yes—
178#2465C2214yes—
179#2453C2212yes—
180#2453C2212yes—
181#2451C2212yes—
182#2451C2212yes—
183#2450C2214yes—
184#2449C2214yes—
185#2442C2212yes—
186#2441C2212yes—
187#2440C2212yes—
188#2439C2212yes—
189#2438C2214yes—
190#2438C2214yes—
191#2421C2214yes—
192#2401C2212yes—
193#2401C2212yes—
194C2×#401C2212yes—
195C2×#400C2212yes—
196#2370C2211yescharacteristic
197#2370C2212yes—
198#2370C2212yes—
199#2370C2211yescharacteristic
200#2370C2211yescharacteristic
201#2370C2211yescharacteristic
202#2369C2211yescharacteristic
203#2369C2211yescharacteristic
204#2369C2212yes—
205#2368C2212yes—
206#2368C2212yes—
207#2368C2214yes—
208#2365C2211yescharacteristic
209#2365C2212yes—
210#2365C2211yescharacteristic
211#2362C2214yes—
212#2362C2212yes—
213#2362C2212yes—
214#2360C2212yes—
215#2360C2212yes—
216#2360C2214yes—
217#2360C2212yes—
218#2360C2212yes—
219#2359C2214yes—
220#2359C2214yes—
221#2357C2212yes—
222#2356C2214yes—
223#2356C2214yes—
224#2356C2212yes—
225#2356C2212yes—
226#2356C2212yes—
227#2355C2212yes—
228#2355C2212yes—
229#2355C2212yes—
230#2354C2212yes—
231#2347C2212yes—
232#2347C2214yes—
233#2346C2212yes—
234#2345C2212yes—
235#2344C2212yes—
236#2343C2214yes—
237#2343C2214yes—
238#2331C2212yes—
239#2331C2212yes—
240#2331C2212yes—
241#2330C2212yes—
242#2330C2212yes—
243#2330C2212yes—
244#2329C2214yes—
245#2327C2212yes—
246#2326C2212yes—
247#2320C2212yes—
248#2320C2212yes—
249#2318C2214yes—
250#2317C2211yescharacteristic
251#2317C2211yescharacteristic
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2316C2211yescharacteristic
255#2311C2211yescharacteristic
256#2311C2211yescharacteristic
257#2310C2211yescharacteristic
258#2310C2211yescharacteristic
259C4×C4⋊Q8C2212yes—
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#126C2212yes—
267C4×#126C2212yes—
268C4×#124C2212yes—
269C4×C22⋊Q8C2214yes—
270#2297C2211yescharacteristic
271#2297C2211yescharacteristic
272#2297C2211yescharacteristic
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2295C2212yes—
277#2295C2212yes—
278#2295C2212yes—
279#2295C2212yes—
280#2295C2212yes—
281C2×#391C2211yescharacteristic
282C2×#391C2211yescharacteristic
283C2×#391C2211yescharacteristic
284C2×#389C2211yescharacteristic
285#2290C2214yes—
286C2×#387C2212yes—
287#2285C2211yescharacteristic
288C2×#383C2212yes—
289C2×#382C2211yescharacteristic
290#2274C2211yescharacteristic
291#2274C2211yescharacteristic
292C42×Q8C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#544—28no—
302#544—28no—
303#536—28no—
304#533—28no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329#520—28no—
330#519—28no—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2314yes—
339C2×C4×Q8C2314yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2312yes—
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2314yes—
350C2×#117C2312yes—
351C2×#117C2314yes—
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365#401C2314yes—
366#401C2314yes—
367#401C2314yes—
368#401C2314yes—
369#401C2314yes—
370#401C2312yes—
371#401C2312yes—
372#401C2314yes—
373#401C2314yes—
374#401C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2312yes—
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2312yes—
432#396C2312yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#391C2311yescharacteristic
446#391C2314yes—
447#391C2314yes—
448#391C2314yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
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#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
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#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#383C2312yes—
672#383C2312yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#382C2314yes—
690#382C2314yes—
691#382C2314yes—
692#382C2314yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2314yes—
697#382C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793#376C2312yes—
794#376C2312yes—
795#376C2312yes—
796#376C2312yes—
797#376C2314yes—
798#376C2314yes—
799#376C2314yes—
800C2×#95C2312yes—
801C2×#95C2312yes—
802C2×#95C2312yes—
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2311yescharacteristic
806C2×#95C2312yes—
807C2×#95C2311yescharacteristic
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C22×Q8—24no—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2414yes—
828C22×Q8C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849C4⋊Q8—28no—
850C4⋊Q8—28no—
851#126—44no—
852#126—44no—
853#125—24no—
854#125—24no—
855#125—28no—
856#125—28no—
857#125—28no—
858#125—28no—
859#124—28no—
860#123—216no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—216no—
866C22⋊Q8—216no—
867C22⋊Q8—48no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—48no—
876C4×Q8—44no—
877C4×Q8—48no—
878C4×Q8—44no—
879C4×D4—216no—
880C4×D4—28no—
881#117—24no—
882#117—24no—
883#117—24no—
884#117—24no—
885#117—24no—
886#117—28no—
887#117—216no—
888#117—48no—
889#117#4118yes—
890#117#4118yes—
891C2×C4⋊C4—24no—
892C2×C4⋊C4—24no—
893C2×C4⋊C4—24no—
894C2×C4⋊C4—28no—
895C2×C4⋊C4—42no—
896C2×C4⋊C4—42no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C42—24no—
998C2×C42—24no—
999C2×C42—24no—
1000C2×C42—44no—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143C24C2512yes—
1144C24C2511yescharacteristic
1145#41—416no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—28no—
1155C2×Q8—28no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—416no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—28no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4C2×#4114yes—
1211C22×C4C2×#4114yes—
1212C22×C42−1+414yes—
1213C22×C4C2514yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—28no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4C2×#4114yes—
1316C4⋊C4C2×#4114yes—
1317C4⋊C4C2×#4114yes—
1318C4⋊C4C2×#4114yes—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4C2×#4118yes—
1344C22⋊C4C2×#4118yes—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—28no—
1350C42—24no—
1351C42—28no—
1352C42—28no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—24no—
1365C42—28no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—44no—
1370C42—42no—
1371C42—42no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—42no—
1376C42—42no—
1377C42—44no—
1378C42—42no—
1379C42—44no—
1380C42—42no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—44no—
1385C42—44no—
1386C42—42no—
1387C42C2×#4118yes—
1388C42C2×#4118yes—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23C22×#4112yes—
1401C23C22×#4112yes—
1402C23C2×2−1+412yes—
1403C23C2611yescharacteristic
1404Q8—48no—
1405Q8—48no—
1406Q8—48no—
1407Q8—44no—
1408Q8—88no—
1409Q8—88no—
1410Q8—84no—
1411D4—48no—
1412D4—44no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—48no—
1503C2×C4—48no—
1504C2×C4—88no—
1505C2×C4—84no—
1506C2×C4—84no—
1507C2×C4—84no—
1508C2×C4—82no—
1509C2×C4—82no—
1510C2×C4—82no—
1511C2×C4—82no—
1512C2×C4#556116yes—
1513C2×C4C22×#4114yes—
1514C2×C4C22×#4114yes—
1515C2×C4C22×#4114yes—
1516C2×C4C22×#4114yes—
1517C2×C4C22×#4112yes—
1518C2×C4C22×#4112yes—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4112yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4C2×2−1+412yes—
1523C2×C4#58512yes—
1524C2×C4#58512yes—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22C2×#55614yes—
1539C22C23×#4111yescharacteristic
1540C22C23×#4111yescharacteristic
1541C22C22×2−1+411yescharacteristic
1542C22C2×#58511yescharacteristic
1543C22C2×#58511yescharacteristic
1544C222−1+611yescharacteristic
1545C222−1+611yescharacteristic
1546C4—24no—
1547C4—24no—
1548C4—22no—
1549C4—24no—
1550C4—24no—
1551C4—22no—
1552C4—42no—
1553C4—42no—
1554C4—44no—
1555C4—44no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—41no—
1560C4—44no—
1561C4—42no—
1562C4—42no—
1563C4—41no—
1564C4—41no—
1565C4—42no—
1566C4—42no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—42no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—42no—
1576C4—44no—
1577C4C2×#55614yes—
1578C4C2×#55614yes—
1579C2—24no—
1580C2—82no—
1581C2C22×#55611yescharacteristic
1582C2#6281011yescharacteristic
1583C2#6286111yescharacteristic
1584C2#6292811yescharacteristic
1585C2#6295911yescharacteristic
1586C2#6299511yescharacteristic
1587C2#6299511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59715C2semidirect
2. #59709C2semidirect
3. #59706C2semidirect
4. #59583C2semidirect
5. #59574C2semidirect
6. #59348C2semidirect
7. #45341C2semidirect
8. #45199C2semidirect
9. #45183C2semidirect
10. #45174C2semidirect
11. #43626C2semidirect
12. #43248C2semidirect
13. #39802C2semidirect
14. #39802C2semidirect
15. #39801C2semidirect
16. #39800C2semidirect
17. #39762C2semidirect
18. #39758C2semidirect
19. #36608C2semidirect
20. #36590C2semidirect
21. #35662C2semidirect
22. #35630C2semidirect
25. #35330C2semidirect
29. C2×#2514C2semidirect
31. #34272C2semidirect
32. #34254C2semidirect
34. #34145C2semidirect
35. C4×#544C2semidirect

Maximal subgroups

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

subgroupindex
#597152
#597092
#597062
#595832
#595742
#593482
#453412
#451992
#451832
#451742
#436262
#432482
#398022
#398012
#398002
#397622
#397582
#366082
#365902
#356622
#356302
#356292
#355192
#353302
#353122
#348162
C2×#25142
#342762
#342722
#342542
#342522
#341452
C4×#5442