Finite Group Databasebeta

← #7709693

Subgroups — #7709693

Order 512.

5162 conjugacy classes of subgroups.

The subgroup lattice has 1735 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59962C212yesmaximal, complemented
2#59962C212yesmaximal, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59666C211yesmaximal, characteristic, complemented
5#59457C211yesmaximal, characteristic, complemented
6#59444C211yesmaximal, characteristic, complemented
7#46112C212yesmaximal, complemented
8#46104C212yesmaximal, complemented
9#45857C214yesmaximal, complemented
10#40167C212yesmaximal, complemented
11#40141C212yesmaximal, complemented
12#39883C212yesmaximal, complemented
13#39856C212yesmaximal, complemented
14#39735C211yesmaximal, characteristic, complemented
15#39606C211yesmaximal, characteristic, complemented
16#39481C211yesmaximal, characteristic, complemented
17#39352C211yesmaximal, characteristic, complemented
18#38860C214yesmaximal, complemented
19#38836C214yesmaximal, complemented
20#37983C212yesmaximal, complemented
21#37792C212yesmaximal, complemented
22#37520C212yesmaximal, complemented
23#36917C214yesmaximal, complemented
24#36640C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36192C211yesmaximal, characteristic, complemented
27#36184C212yesmaximal, complemented
28#36165C211yesmaximal, characteristic, complemented
29#36135C212yesmaximal, complemented
30#36115C211yesmaximal, characteristic, complemented
31#36115C211yesmaximal, characteristic, complemented
32#35189C212yesmaximal, complemented
33#35130C212yesmaximal, complemented
34#34423C212yesmaximal, complemented
35C4×#532C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#552C2212yes—
38C2×#540C2212yes—
39C2×#532C2211yescharacteristic
40C2×#529C2212yes—
41C2×#529C2212yes—
42C2×#529C2212yes—
43C2×C4×#41C2212yes—
44#2864C2212yes—
45#2864C2212yes—
46#2861C2212yes—
47#2860C2212yes—
48#2860C2212yes—
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2859C2211yescharacteristic
54#2858C2211yescharacteristic
55#2857C2211yescharacteristic
56#2856C2211yescharacteristic
57#2854C2212yes—
58#2854C2212yes—
59#2851C2212yes—
60#2851C2211yescharacteristic
61#2851C2211yescharacteristic
62#2851C2211yescharacteristic
63#2851C2212yes—
64#2851C2211yescharacteristic
65#2851C2212yes—
66#2851C2212yes—
67#2850C2212yes—
68#2850C2212yes—
69#2850C2212yes—
70#2837C2214yes—
71#2837C2214yes—
72#2802C2214yes—
73#2781C2214yes—
74#2781C2214yes—
75#2780C2214yes—
76#2773C2214yes—
77#2772C2214yes—
78#2768C2214yes—
79#2768C2214yes—
80#2754C2214yes—
81#2753C2214yes—
82#2748C2214yes—
83#2741C2214yes—
84#2725C2214yes—
85#2722C2214yes—
86#2714C2214yes—
87#2711C2214yes—
88#2710C2214yes—
89#2707C2214yes—
90#2706C2214yes—
91#2706C2214yes—
92#2705C2214yes—
93#2704C2214yes—
94#2703C2214yes—
95#2695C2214yes—
96#2694C2214yes—
97#2694C2214yes—
98#2694C2214yes—
99#2691C2214yes—
100#2682C2214yes—
101#2672C2214yes—
102#2671C2214yes—
103#2671C2214yes—
104#2637C2214yes—
105#2636C2214yes—
106#2636C2214yes—
107#2630C2214yes—
108#2630C2214yes—
109#2630C2214yes—
110#2629C2212yes—
111#2624C2212yes—
112#2624C2212yes—
113#2619C2212yes—
114#2609C2214yes—
115#2609C2214yes—
116#2609C2214yes—
117#2601C2214yes—
118#2601C2214yes—
119#2601C2214yes—
120#2582C2212yes—
121#2581C2212yes—
122#2580C2212yes—
123#2571C2211yescharacteristic
124#2571C2211yescharacteristic
125#2566C2212yes—
126#2566C2212yes—
127#2565C2212yes—
128#2553C2214yes—
129#2553C2214yes—
130#2553C2214yes—
131#2553C2214yes—
132#2552C2211yescharacteristic
133#2552C2212yes—
134#2552C2211yescharacteristic
135#2550C2212yes—
136#2542C2211yescharacteristic
137#2542C2211yescharacteristic
138#2541C2211yescharacteristic
139#2541C2211yescharacteristic
140#2541C2212yes—
141#2538C2212yes—
142#2538C2212yes—
143#2537C2212yes—
144#2536C2212yes—
145#2536C2212yes—
146#2535C2212yes—
147#2535C2212yes—
148#2522C2214yes—
149#2522C2214yes—
150#2520C2214yes—
151#2519C2214yes—
152#2519C2214yes—
153#2513C2212yes—
154#2513C2212yes—
155#2512C2212yes—
156#2512C2212yes—
157#2512C2212yes—
158#2512C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2508C2212yes—
162#2507C2212yes—
163#2507C2212yes—
164#2507C2212yes—
165#2505C2214yes—
166#2505C2214yes—
167#2502C2212yes—
168#2501C2212yes—
169#2500C2212yes—
170#2499C2212yes—
171#2498C2214yes—
172#2498C2214yes—
173#2485C2214yes—
174#2485C2214yes—
175#2479C2214yes—
176#2478C2214yes—
177#2478C2214yes—
178#2471C2214yes—
179#2471C2214yes—
180#2467C2214yes—
181#2467C2214yes—
182#2456C2214yes—
183#2455C2214yes—
184#2455C2214yes—
185#2454C2212yes—
186#2454C2212yes—
187#2454C2212yes—
188#2454C2212yes—
189#2454C2212yes—
190#2452C2212yes—
191#2450C2214yes—
192#2445C2212yes—
193#2445C2212yes—
194#2445C2212yes—
195#2445C2212yes—
196#2445C2212yes—
197#2445C2212yes—
198#2442C2212yes—
199#2442C2212yes—
200#2441C2212yes—
201#2441C2212yes—
202#2430C2214yes—
203#2427C2212yes—
204#2427C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2425C2214yes—
208#2425C2214yes—
209#2423C2212yes—
210#2423C2212yes—
211#2422C2212yes—
212#2422C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2407C2214yes—
222#2376C2214yes—
223#2376C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2366C2211yescharacteristic
228#2366C2212yes—
229#2366C2211yescharacteristic
230#2366C2212yes—
231#2366C2212yes—
232#2365C2211yescharacteristic
233#2365C2211yescharacteristic
234#2359C2214yes—
235#2359C2214yes—
236#2359C2214yes—
237#2359C2214yes—
238#2354C2212yes—
239#2354C2212yes—
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2351C2212yes—
244#2349C2212yes—
245#2349C2212yes—
246#2349C2212yes—
247#2349C2212yes—
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250#2325C2214yes—
251#2325C2214yes—
252#2325C2214yes—
253#2324C2214yes—
254#2324C2212yes—
255#2324C2212yes—
256#2324C2214yes—
257#2323C2214yes—
258#2314C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#125C2211yescharacteristic
268C4×#125C2211yescharacteristic
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282#2297C2212yes—
283#2296C2212yes—
284#2296C2212yes—
285#2293C2212yes—
286#2293C2212yes—
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2212yes—
293#2285C2211yescharacteristic
294C2×#382C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300#553—48no—
301#552—48no—
302#540—216no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2312yes—
310#529—48no—
311#529—48no—
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C4×#41—48no—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×#117C2312yes—
395C2×#117C2314yes—
396C2×#117C2312yes—
397C2×#117C2314yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2314yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C42C2311yescharacteristic
408C22×C42C2312yes—
409C22×C42C2312yes—
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2314yes—
730#382C2312yes—
731#382C2312yes—
732#382C2314yes—
733#382C2314yes—
734#382C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2414yes—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857#127—24no—
858#127—28no—
859#127—24no—
860#127—44no—
861#126—48no—
862#126—48no—
863#126—48no—
864#126—48no—
865#126—48no—
866#125—28no—
867#125—24no—
868#125—24no—
869#125—24no—
870#125—24no—
871#125—44no—
872#125—44no—
873#125—44no—
874#125—44no—
875#125—48no—
876#124—28no—
877#124—28no—
878#124—44no—
879#123—216no—
880#123—216no—
881#123—48no—
882#123—48no—
883#123—48no—
884#123—48no—
885#123—48no—
886#123—48no—
887#123—48no—
888C22⋊Q8—48no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894#121—28no—
895#121—216no—
896#121—216no—
897#121—24no—
898#121—28no—
899#121—44no—
900#121—48no—
901#121—48no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121#4118yes—
908C4×Q8—28no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—48no—
941#117—28no—
942#117—44no—
943#117—44no—
944#117—44no—
945#117—44no—
946#117—48no—
947#117—48no—
948#117—48no—
949#117—48no—
950#117—44no—
951#117—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C42—24no—
1083C2×C42—24no—
1084C2×C42—28no—
1085C2×C42—28no—
1086C2×C42—24no—
1087C2×C42—24no—
1088C2×C42—42no—
1089C2×C42—42no—
1090C2×C42—42no—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24C2514yes—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2511yescharacteristic
1196#41—432no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—42no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—28no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4C2×#4114yes—
1244C2×D4C2×#4118yes—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—28no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4C2×#4114yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4C2×#4114yes—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4C2×#4118yes—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—28no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—24no—
1488C42—41no—
1489C42—41no—
1490C42—41no—
1491C42—41no—
1492C42—41no—
1493C42—41no—
1494C42—44no—
1495C42—44no—
1496C42—44no—
1497C42—44no—
1498C42H(5,𝔽2)14yes—
1499C42H(5,𝔽2)14yes—
1500C422−1+414yes—
1501C23—22no—
1502C23—21no—
1503C23—22no—
1504C23—21no—
1505C23—22no—
1506C23—21no—
1507C23—22no—
1508C23—21no—
1509C23—22no—
1510C23—21no—
1511C23—21no—
1512C23—22no—
1513C23—22no—
1514C23—24no—
1515C23—24no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—22no—
1522C23—24no—
1523C23—24no—
1524C23—24no—
1525C23—22no—
1526C23—22no—
1527C23C22×#4112yes—
1528C23C22×#4114yes—
1529C23C2611yescharacteristic
1530Q8—48no—
1531Q8—48no—
1532D4—28no—
1533D4—48no—
1534D4—48no—
1535D4—48no—
1536D4—48no—
1537D4—44no—
1538D4—48no—
1539D4—48no—
1540D4—84no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—88no—
1545D4—164no—
1546C2×C4—28no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—28no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—44no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—84no—
1636C2×C4—84no—
1637C2×C4—88no—
1638C2×C4—88no—
1639C2×C4—88no—
1640C2×C4—88no—
1641C2×C4—164no—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4114yes—
1644C2×C4C22×#4112yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4C2×2−1+412yes—
1653C2×C4C2×2−1+412yes—
1654C2×C4#58512yes—
1655C2×C4#58512yes—
1656C2×C4#58512yes—
1657C22—22no—
1658C22—24no—
1659C22—22no—
1660C22—24no—
1661C22—22no—
1662C22—24no—
1663C22—42no—
1664C22—41no—
1665C22—41no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—41no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—44no—
1677C22—42no—
1678C22—44no—
1679C22—42no—
1680C22—44no—
1681C22—44no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22C23×#4111yescharacteristic
1686C22C22×H(5,𝔽2)11yescharacteristic
1687C22C22×H(5,𝔽2)11yescharacteristic
1688C22C22×2−1+411yescharacteristic
1689C22C2×#58511yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22C2×#58511yescharacteristic
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—24no—
1696C4—22no—
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4—44no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—44no—
1716C4—42no—
1717C4—42no—
1718C4—41no—
1719C4—44no—
1720C4—42no—
1721C4#351514yes—
1722C4#354814yes—
1723C2—42no—
1724C2—44no—
1725C2—82no—
1726C2—84no—
1727C2C2×#354811yescharacteristic
1728C2#6275911yescharacteristic
1729C2#6277311yescharacteristic
1730C2C2×#351511yescharacteristic
1731C2#6280011yescharacteristic
1732C2#6283111yescharacteristic
1733C2#6283611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59962C2semidirect
2. #59962C2semidirect
3. #59680C2semidirect
4. #59666C2semidirect
5. #59457C2semidirect
6. #59444C2semidirect
7. #46112C2semidirect
8. #46104C2semidirect
9. #45857C2semidirect
10. #40167C2semidirect
11. #40141C2semidirect
12. #39883C2semidirect
13. #39856C2semidirect
14. #39735C2semidirect
15. #39606C2semidirect
16. #39481C2semidirect
17. #39352C2semidirect
18. #38860C2semidirect
19. #38836C2semidirect
20. #37983C2semidirect
21. #37792C2semidirect
22. #37520C2semidirect
23. #36917C2semidirect
24. #36640C2semidirect
25. #36631C2semidirect
26. #36192C2semidirect
27. #36184C2semidirect
28. #36165C2semidirect
29. #36135C2semidirect
30. #36115C2semidirect
31. #36115C2semidirect
32. #35189C2semidirect
33. #35130C2semidirect
34. #34423C2semidirect
35. C4×#532C2semidirect

Maximal subgroups

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

subgroupindex
#599622
#596802
#596662
#594572
#594442
#461122
#461042
#458572
#401672
#401412
#398832
#398562
#397352
#396062
#394812
#393522
#388602
#388362
#379832
#377922
#375202
#369172
#366402
#366312
#361922
#361842
#361652
#361352
#361152
#351892
#351302
#344232
C4×#5322