Finite Group Databasebeta

← #7806381

Subgroups — #7806381

Order 512.

4357 conjugacy classes of subgroups.

The subgroup lattice has 1603 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59893C212yesmaximal, complemented
2#59821C211yesmaximal, characteristic, complemented
3#59768C212yesmaximal, complemented
4#59701C212yesmaximal
5#59631C212yesmaximal, complemented
6#59505C212yesmaximal, complemented
7#59467C211yesmaximal, characteristic, complemented
8#59449C212yesmaximal, complemented
9#59445C211yesmaximal, characteristic, complemented
10#59442C211yesmaximal, characteristic, complemented
11#59292C212yesmaximal, complemented
12#59227C212yesmaximal, complemented
13#59227C211yesmaximal, characteristic, complemented
14#59214C211yesmaximal, characteristic, complemented
15#59065C211yesmaximal, characteristic, complemented
16#59065C211yesmaximal, characteristic, complemented
17#47334C214yesmaximal, complemented
18#46706C214yesmaximal, complemented
19#42899C212yesmaximal, complemented
20#42897C212yesmaximal, complemented
21#42777C212yesmaximal, complemented
22#42714C212yesmaximal, complemented
23#42374C214yesmaximal, complemented
24#37637C211yesmaximal, characteristic, complemented
25#36071C214yesmaximal, complemented
26#36058C212yesmaximal, complemented
27#36026C212yesmaximal, complemented
28#35971C212yesmaximal, complemented
29#35803C212yesmaximal, complemented
30#34975C211yesmaximal, characteristic, complemented
31#34970C211yesmaximal, characteristic
32#34941C211yesmaximal, characteristic, complemented
33#34324C211yesmaximal, characteristic, complemented
34#34322C211yesmaximal, characteristic, complemented
35#34225C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2837C2214yes—
40#2837C2214yes—
41#2831C2214yes—
42#2803C2214yes—
43#2796C2214yes—
44#2795C2214yes—
45#2793C2214yes—
46#2791C2214yes—
47#2782C2214yes—
48#2781C2214yes—
49#2781C2214yes—
50#2781C2214yes—
51#2780C2214yes—
52#2777C2214yes—
53#2777C2214yes—
54#2774C2214yes—
55#2773C2214yes—
56#2772C2214yes—
57#2771C2214yes—
58#2767C2214yes—
59#2751C2214yes—
60#2744C2214yes—
61#2727C2214yes—
62#2724C2214yes—
63#2723C2214yes—
64#2723C2214yes—
65#2694C2214yes—
66#2654C2214yes—
67#2651C2214yes—
68#2651C2214yes—
69#2651C2214yes—
70#2649C2214yes—
71#2647C2212yes—
72#2647C2214yes—
73#2644C2212yes—
74#2637C2214yes—
75#2629C2212yes—
76#2625C2212yes—
77#2611C2214yes—
78#2601C2214yes—
79#2596C2214yes—
80#2596C2214yes—
81#2595C2214yes—
82#2594C2214yes—
83#2590C2214yes—
84#2587C2214yes—
85#2575C2214yes—
86#2575C2214yes—
87#2574C2214yes—
88#2571C2212yes—
89#2571C2214yes—
90#2570C2212yes—
91#2570C2212yes—
92#2570C2214yes—
93#2570C2214yes—
94#2567C2211yescharacteristic
95#2567C2211yescharacteristic
96#2566C2212yes—
97#2565C2212yes—
98#2563C2211yescharacteristic
99#2563C2211yescharacteristic
100#2562C2212yes—
101#2562C2212yes—
102#2559C2214yes—
103#2558C2214yes—
104#2554C2214yes—
105#2552C2211yescharacteristic
106#2552C2212yes—
107#2552C2212yes—
108#2552C2211yescharacteristic
109#2548C2212yes—
110#2542C2212yes—
111#2538C2211yescharacteristic
112#2538C2212yes—
113#2538C2211yescharacteristic
114#2533C2214yes—
115#2533C2212yes—
116#2531C2212yes—
117#2530C2214yes—
118#2529C2214yes—
119#2529C2214yes—
120#2529C2214yes—
121#2529C2214yes—
122#2529C2214yes—
123#2528C2212yes—
124#2526C2214yes—
125#2526C2212yes—
126#2525C2214yes—
127#2519C2214yes—
128#2519C2214yes—
129#2518C2214yes—
130#2517C2214yes—
131#2517C2214yes—
132#2515C2214yes—
133#2514C2211yescharacteristic
134#2513C2212yes—
135#2513C2211yescharacteristic
136#2513C2214yes—
137#2513C2212yes—
138#2512C2212yes—
139#2512C2214yes—
140#2511C2212yes—
141#2509C2212yes—
142#2509C2212yes—
143#2509C2214yes—
144#2508C2212yes—
145#2508C2212yes—
146#2508C2214yes—
147#2508C2212yes—
148#2508C2214yes—
149#2507C2212yes—
150#2507C2211yescharacteristic
151#2507C2214yes—
152#2506C2212yes—
153#2506C2211yescharacteristic
154#2500C2214yes—
155#2500C2212yes—
156#2497C2212yes—
157#2497C2211yescharacteristic
158#2497C2212yes—
159#2496C2212yes—
160#2496C2211yescharacteristic
161#2490C2211yescharacteristic
162#2489C2212yes—
163#2489C2212yes—
164#2489C2212yes—
165#2489C2211yescharacteristic
166#2489C2212yes—
167#2487C2212yes—
168#2486C2212yes—
169#2485C2212yes—
170#2478C2212yes—
171#2476C2212yes—
172#2475C2212yes—
173#2471C2212yes—
174#2469C2214yes—
175#2469C2214yes—
176#2462C2214yes—
177#2458C2214yes—
178#2454C2212yes—
179#2454C2211yescharacteristic
180#2453C2211yescharacteristic
181#2453C2212yes—
182#2453C2212yes—
183#2448C2212yes—
184#2448C2212yes—
185#2448C2212yes—
186#2448C2212yes—
187#2446C2212yes—
188#2446C2211yescharacteristic
189#2445C2212yes—
190#2445C2211yescharacteristic
191#2441C2212yes—
192#2441C2212yes—
193#2441C2212yes—
194#2429C2211yescharacteristic
195#2428C2211yescharacteristic
196#2426C2212yes—
197#2426C2212yes—
198#2423C2212yes—
199#2421C2212yes—
200#2421C2212yes—
201#2421C2211yescharacteristic
202#2420C2211yescharacteristic
203#2415C2212yes—
204#2415C2212yes—
205#2415C2212yes—
206#2415C2212yes—
207#2415C2212yes—
208#2402C2212yes—
209#2402C2214yes—
210#2401C2212yes—
211#2401C2214yes—
212#2396C2214yes—
213#2395C2212yes—
214#2392C2212yes—
215#2374C2214yes—
216#2373C2214yes—
217#2373C2214yes—
218#2373C2214yes—
219#2371C2214yes—
220#2370C2212yes—
221#2370C2212yes—
222#2370C2212yes—
223#2370C2212yes—
224#2367C2212yes—
225#2367C2212yes—
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2363C2212yes—
229#2362C2212yes—
230#2362C2212yes—
231#2362C2212yes—
232#2360C2212yes—
233#2360C2212yes—
234#2357C2212yes—
235#2356C2212yes—
236#2355C2211yescharacteristic
237#2355C2212yes—
238#2355C2212yes—
239#2354C2211yescharacteristic
240#2354C2212yes—
241#2354C2212yes—
242#2354C2212yes—
243#2352C2212yes—
244#2351C2212yes—
245#2351C2212yes—
246#2351C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2212yes—
250Q8×C4⋊C4C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252#2347C2212yes—
253#2346C2212yes—
254#2346C2212yes—
255#2346C2212yes—
256#2346C2212yes—
257#2346C2212yes—
258#2346C2214yes—
259#2334C2214yes—
260#2334C2214yes—
261#2326C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2320C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×#127C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2211yescharacteristic
274C4×#125C2212yes—
275C4×#125C2212yes—
276C4×#126C2212yes—
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×#123C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286#2296C2212yes—
287#2295C2211yescharacteristic
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2285C2211yescharacteristic
292#2285C2212yes—
293#2276C2212yes—
294#2276C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#556—28no—
300#556—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×#127C2311yescharacteristic
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#123C2314yes—
320C2×#123C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#121C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
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×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C42C2311yescharacteristic
367C22×C42C2312yes—
368#401C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2312yes—
454#395C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#393C2314yes—
470#393C2314yes—
471#392C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2314yes—
501#390C2311yescharacteristic
502#390C2314yes—
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
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#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2314yes—
689#384C2314yes—
690#384C2312yes—
691#383C2312yes—
692#383C2314yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#381C2314yes—
711#381C2312yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×D4C2411yescharacteristic
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2412yes—
831C4⋊Q8—24no—
832C4⋊Q8—42no—
833C4⋊Q8#4118yes—
834#127—42no—
835#126—216no—
836#126—216no—
837#126—48no—
838#126—44no—
839#125—28no—
840#125—24no—
841#125—44no—
842#125—44no—
843#125—42no—
844#125—44no—
845#125—48no—
846#124—28no—
847#124—28no—
848#123—44no—
849#123—48no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—28no—
853C22⋊Q8—28no—
854C22⋊Q8—42no—
855C22⋊Q8—42no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858#121—24no—
859#121—44no—
860#121—42no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—42no—
871C4×Q8—44no—
872C4×Q8—42no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—24no—
879C4×D4—42no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—44no—
885#117—28no—
886#117—28no—
887#117—28no—
888#117—44no—
889#117—48no—
890#117—42no—
891#117—42no—
892#117—44no—
893#117—44no—
894C2×C4⋊C4—44no—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C42—24no—
1020C2×C42—44no—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142C24C2512yes—
1143C24C2512yes—
1144C24C2511yescharacteristic
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8C2×#4118yes—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—42no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2514yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—41no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—41no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4C2×#4118yes—
1308C4⋊C4C2×#4118yes—
1309C4⋊C42−1+414yes—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—24no—
1322C22⋊C4—41no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—41no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—28no—
1359C42—28no—
1360C42—28no—
1361C42—24no—
1362C42—24no—
1363C42—22no—
1364C42—28no—
1365C42—24no—
1366C42—22no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—28no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—22no—
1380C42—42no—
1381C42—42no—
1382C42—41no—
1383C42—41no—
1384C42—44no—
1385C42—44no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—42no—
1393C42—44no—
1394C42—42no—
1395C42C2×#4114yes—
1396C23—22no—
1397C23—22no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—22no—
1404C23—21no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23C2611yescharacteristic
1418Q8—216no—
1419Q8—48no—
1420Q8—44no—
1421Q8—44no—
1422D4—44no—
1423D4—44no—
1424D4—84no—
1425D4—84no—
1426D4—84no—
1427D4—84no—
1428C2×C4—24no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—48no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—48no—
1518C2×C4—48no—
1519C2×C4—84no—
1520C2×C4—164no—
1521C2×C4C22×#4118yes—
1522C2×C4C22×#4112yes—
1523C2×C4C22×#4112yes—
1524C2×C4C22×#4112yes—
1525C2×C4C2×2−1+414yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4#58512yes—
1528C2×C4#58512yes—
1529C2×C4#58512yes—
1530C2×C4#58512yes—
1531C2×C4#58512yes—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—41no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—41no—
1544C22—41no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—41no—
1550C22—41no—
1551C22—42no—
1552C22—42no—
1553C22C23×#4111yescharacteristic
1554C22C22×2−1+411yescharacteristic
1555C22C2×#58511yescharacteristic
1556C22C2×#58511yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22C2×#58511yescharacteristic
1560C4—22no—
1561C4—24no—
1562C4—22no—
1563C4—28no—
1564C4—22no—
1565C4—41no—
1566C4—42no—
1567C4—42no—
1568C4—41no—
1569C4—44no—
1570C4—42no—
1571C4—41no—
1572C4—42no—
1573C4—44no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4—41no—
1578C4—41no—
1579C4—42no—
1580C4—41no—
1581C4—41no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—41no—
1589C4—44no—
1590C4#351514yes—
1591C4#352414yes—
1592C2—82no—
1593C2—81no—
1594C2—82no—
1595C2C2×#351511yescharacteristic
1596C2C2×#352411yescharacteristic
1597C2#6279311yescharacteristic
1598C2#6302311yescharacteristic
1599C2#6302911yescharacteristic
1600C2#6303111yescharacteristic
1601C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2428C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59893C2semidirect
2. #59821C2semidirect
3. #59768C2semidirect
5. #59631C2semidirect
6. #59505C2semidirect
7. #59467C2semidirect
8. #59449C2semidirect
9. #59445C2semidirect
10. #59442C2semidirect
11. #59292C2semidirect
12. #59227C2semidirect
13. #59227C2semidirect
14. #59214C2semidirect
15. #59065C2semidirect
16. #59065C2semidirect
17. #47334C2semidirect
18. #46706C2semidirect
19. #42899C2semidirect
20. #42897C2semidirect
21. #42777C2semidirect
22. #42714C2semidirect
23. #42374C2semidirect
24. #37637C2semidirect
25. #36071C2semidirect
26. #36058C2semidirect
27. #36026C2semidirect
28. #35971C2semidirect
29. #35803C2semidirect
30. #34975C2semidirect
32. #34941C2semidirect
33. #34324C2semidirect
34. #34322C2semidirect
35. #34225C2semidirect

Maximal subgroups

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

subgroupindex
#598932
#598212
#597682
#597012
#596312
#595052
#594672
#594492
#594452
#594422
#592922
#592272
#592142
#590652
#473342
#467062
#428992
#428972
#427772
#427142
#423742
#376372
#360712
#360582
#360262
#359712
#358032
#349752
#349702
#349412
#343242
#343222
#342252