Finite Group Databasebeta

← #7710242

Subgroups — #7710242

Order 512.

4726 conjugacy classes of subgroups.

The subgroup lattice has 1685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59658C212yesmaximal, complemented
2#59433C212yesmaximal, complemented
3#59233C211yesmaximal, characteristic, complemented
4#59219C211yesmaximal, characteristic, complemented
5#59218C211yesmaximal, characteristic, complemented
6#59217C211yesmaximal, characteristic, complemented
7#45907C214yesmaximal, complemented
8#45649C212yesmaximal, complemented
9#45627C212yesmaximal, complemented
10#40263C214yesmaximal, complemented
11#40121C212yesmaximal, complemented
12#40075C212yesmaximal, complemented
13#39931C212yesmaximal, complemented
14#39883C212yesmaximal, complemented
15#39194C211yesmaximal, characteristic, complemented
16#39194C211yesmaximal, characteristic, complemented
17#39119C212yesmaximal, complemented
18#38967C211yesmaximal, characteristic, complemented
19#38966C211yesmaximal, characteristic, complemented
20#38914C212yesmaximal, complemented
21#38735C214yesmaximal, complemented
22#37573C212yesmaximal, complemented
23#37021C214yesmaximal, complemented
24#36640C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36503C212yesmaximal, complemented
27#36468C211yesmaximal, characteristic, complemented
28#36466C211yesmaximal, characteristic, complemented
29#36416C211yesmaximal, characteristic, complemented
30#36391C212yesmaximal, complemented
31#36270C211yesmaximal, characteristic, complemented
32#35207C212yesmaximal, complemented
33#35047C212yesmaximal, complemented
34#34482C212yesmaximal, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#553C2212yes—
38C2×#552C2212yes—
39C2×#529C2211yescharacteristic
40C2×#529C2212yes—
41#2864C2212yes—
42#2864C2212yes—
43#2861C2212yes—
44#2860C2211yescharacteristic
45#2860C2212yes—
46#2860C2211yescharacteristic
47#2860C2212yes—
48#2859C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2859C2212yes—
54#2858C2211yescharacteristic
55#2857C2211yescharacteristic
56#2856C2211yescharacteristic
57#2854C2212yes—
58#2854C2211yescharacteristic
59#2854C2211yescharacteristic
60#2854C2212yes—
61#2851C2212yes—
62#2851C2212yes—
63#2851C2212yes—
64#2851C2212yes—
65#2851C2212yes—
66#2850C2212yes—
67#2838C2214yes—
68#2829C2214yes—
69#2801C2214yes—
70#2801C2214yes—
71#2800C2214yes—
72#2800C2214yes—
73#2790C2214yes—
74#2789C2214yes—
75#2788C2214yes—
76#2786C2214yes—
77#2785C2214yes—
78#2783C2214yes—
79#2781C2214yes—
80#2768C2214yes—
81#2766C2214yes—
82#2765C2214yes—
83#2745C2214yes—
84#2742C2214yes—
85#2737C2214yes—
86#2731C2214yes—
87#2729C2214yes—
88#2725C2214yes—
89#2723C2214yes—
90#2721C2214yes—
91#2719C2214yes—
92#2716C2214yes—
93#2711C2214yes—
94#2711C2214yes—
95#2707C2214yes—
96#2705C2214yes—
97#2701C2214yes—
98#2686C2214yes—
99#2682C2214yes—
100#2671C2214yes—
101#2662C2214yes—
102#2654C2214yes—
103#2653C2214yes—
104#2653C2214yes—
105#2649C2214yes—
106#2636C2214yes—
107#2629C2212yes—
108#2628C2212yes—
109#2624C2212yes—
110#2624C2212yes—
111#2610C2214yes—
112#2609C2214yes—
113#2602C2214yes—
114#2601C2214yes—
115#2601C2214yes—
116#2601C2214yes—
117#2596C2214yes—
118#2594C2214yes—
119#2589C2214yes—
120#2587C2214yes—
121#2584C2212yes—
122#2584C2214yes—
123#2580C2212yes—
124#2571C2211yescharacteristic
125#2566C2212yes—
126#2566C2212yes—
127#2563C2212yes—
128#2563C2212yes—
129#2563C2212yes—
130#2562C2212yes—
131#2562C2212yes—
132#2562C2212yes—
133#2559C2214yes—
134#2558C2214yes—
135#2558C2214yes—
136#2558C2214yes—
137#2553C2214yes—
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2552C2212yes—
142#2551C2211yescharacteristic
143#2551C2212yes—
144#2550C2212yes—
145#2550C2214yes—
146#2550C2212yes—
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic
149#2538C2212yes—
150#2537C2211yescharacteristic
151#2537C2211yescharacteristic
152#2537C2212yes—
153#2536C2212yes—
154#2536C2212yes—
155#2535C2212yes—
156#2529C2214yes—
157#2528C2214yes—
158#2527C2214yes—
159#2521C2214yes—
160#2519C2214yes—
161#2519C2214yes—
162#2512C2212yes—
163#2509C2212yes—
164#2508C2212yes—
165#2507C2212yes—
166#2506C2212yes—
167#2500C2212yes—
168#2500C2212yes—
169#2497C2212yes—
170#2497C2212yes—
171#2496C2212yes—
172#2496C2212yes—
173#2494C2212yes—
174#2494C2212yes—
175#2494C2212yes—
176#2494C2212yes—
177#2494C2214yes—
178#2494C2212yes—
179#2494C2212yes—
180#2491C2214yes—
181#2491C2212yes—
182#2491C2212yes—
183#2490C2212yes—
184#2490C2212yes—
185#2490C2212yes—
186#2490C2212yes—
187#2486C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2479C2214yes—
191#2476C2214yes—
192#2474C2214yes—
193#2470C2214yes—
194#2469C2214yes—
195#2466C2214yes—
196#2460C2214yes—
197#2458C2214yes—
198#2458C2214yes—
199#2455C2214yes—
200#2454C2212yes—
201#2454C2212yes—
202#2445C2212yes—
203#2442C2212yes—
204#2442C2212yes—
205#2441C2212yes—
206#2441C2212yes—
207#2441C2212yes—
208#2441C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2428C2212yes—
212#2426C2212yes—
213#2426C2212yes—
214#2422C2214yes—
215#2422C2212yes—
216#2416C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2382C2214yes—
220#2376C2214yes—
221#2373C2214yes—
222#2373C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2367C2214yes—
226#2363C2212yes—
227#2362C2212yes—
228#2360C2212yes—
229#2357C2212yes—
230#2355C2212yes—
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2352C2212yes—
236#2352C2212yes—
237#2351C2212yes—
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242#2346C2214yes—
243#2346C2212yes—
244#2346C2212yes—
245#2345C2212yes—
246#2335C2214yes—
247#2335C2214yes—
248#2334C2214yes—
249#2330C2214yes—
250#2324C2214yes—
251#2323C2212yes—
252#2323C2212yes—
253#2317C2212yes—
254#2316C2212yes—
255#2314C2214yes—
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2212yes—
258C4×#127C2211yescharacteristic
259C4×#125C2212yes—
260C4×#125C2212yes—
261C4×#125C2212yes—
262C4×#125C2212yes—
263C4×#125C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#126C2212yes—
266C4×#126C2212yes—
267C4×#124C2211yescharacteristic
268C4×#124C2212yes—
269C4×#124C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×#123C2212yes—
273C4×#123C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280#2298C2212yes—
281#2296C2212yes—
282#2296C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299#557—48no—
300#553—48no—
301#552—216no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2314yes—
306C2×#127C2311yescharacteristic
307#529—28no—
308#529—48no—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2311yescharacteristic
394#401C2314yes—
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#392C2314yes—
473#392C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2311yescharacteristic
477#391C2314yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2314yes—
481#390C2312yes—
482#390C2311yescharacteristic
483#390C2312yes—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2314yes—
487#390C2314yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2314yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2314yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
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#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2312yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2314yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2312yes—
701#383C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2314yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#381C2314yes—
718#381C2312yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2314yes—
804#376C2312yes—
805#376C2312yes—
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C4⋊Q8—42no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—48no—
846#127—42no—
847#126—28no—
848#126—216no—
849#126—48no—
850#126—44no—
851#126—44no—
852#126—48no—
853#125—24no—
854#125—216no—
855#125—28no—
856#125—28no—
857#125—44no—
858#125—44no—
859#125—44no—
860#125—44no—
861#125—44no—
862#125—48no—
863#125—48no—
864#124—24no—
865#124—44no—
866#124—48no—
867#124—44no—
868#123—28no—
869#123—216no—
870#123—48no—
871#123—44no—
872#123—44no—
873#123—48no—
874C22⋊Q8—24no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—44no—
878#121—24no—
879#121—48no—
880#121—48no—
881#121—42no—
882#121—44no—
883#121—42no—
884#121—44no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—44no—
889C4×Q8—28no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—48no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8#4118yes—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4—44no—
911#117—28no—
912#117—28no—
913#117—216no—
914#117—44no—
915#117—44no—
916#117—44no—
917#117—44no—
918#117—44no—
919#117—44no—
920#117—44no—
921#117—44no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C42—24no—
1052C2×C42—24no—
1053C2×C42—24no—
1054C2×C42—44no—
1055C2×C42—42no—
1056C2×C42—42no—
1057C2×C42—42no—
1058C2×C42—42no—
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168C24C2512yes—
1169C24C2512yes—
1170C24C2512yes—
1171C24C2511yescharacteristic
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—44no—
1176C2×Q8—42no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8C2×#4114yes—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2514yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C4⋊C4—24no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—28no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4C2×#4114yes—
1355C4⋊C4C2×#4118yes—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—28no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—28no—
1433C42—24no—
1434C42—41no—
1435C42—42no—
1436C42—41no—
1437C42—41no—
1438C42—42no—
1439C42—41no—
1440C42—41no—
1441C42—41no—
1442C42—41no—
1443C42—41no—
1444C42—41no—
1445C42—41no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42C2×#4114yes—
1455C42C2×#4118yes—
1456C42H(5,𝔽2)14yes—
1457C422−1+414yes—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23#58512yes—
1486C23C2611yescharacteristic
1487Q8—28no—
1488Q8—84no—
1489Q8—88no—
1490D4—48no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—88no—
1499D4—164no—
1500C2×C4—28no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—48no—
1587C2×C4—48no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—164no—
1593C2×C4C22×#4114yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4114yes—
1597C2×C4C22×#4112yes—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4#58512yes—
1605C2×C4#58512yes—
1606C2×C4#58512yes—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22C23×#4111yescharacteristic
1636C22C22×H(5,𝔽2)11yescharacteristic
1637C22C22×2−1+411yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C4—22no—
1643C4—22no—
1644C4—24no—
1645C4—22no—
1646C4—24no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—41no—
1651C4—42no—
1652C4—41no—
1653C4—44no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—44no—
1658C4—41no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—44no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—44no—
1669C4—42no—
1670C4—42no—
1671C4#351114yes—
1672C4#356514yes—
1673C2—42no—
1674C2—82no—
1675C2—82no—
1676C2—82no—
1677C2C2×#356511yescharacteristic
1678C2#6275911yescharacteristic
1679C2#6279311yescharacteristic
1680C2C2×#351111yescharacteristic
1681C2#6281611yescharacteristic
1682C2#6282511yescharacteristic
1683C2#6283011yescharacteristic
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. #59658C2semidirect
2. #59433C2semidirect
3. #59233C2semidirect
4. #59219C2semidirect
5. #59218C2semidirect
6. #59217C2semidirect
7. #45907C2semidirect
8. #45649C2semidirect
9. #45627C2semidirect
10. #40263C2semidirect
11. #40121C2semidirect
12. #40075C2semidirect
13. #39931C2semidirect
14. #39883C2semidirect
15. #39194C2semidirect
16. #39194C2semidirect
17. #39119C2semidirect
18. #38967C2semidirect
19. #38966C2semidirect
20. #38914C2semidirect
21. #38735C2semidirect
22. #37573C2semidirect
23. #37021C2semidirect
24. #36640C2semidirect
25. #36631C2semidirect
26. #36503C2semidirect
27. #36468C2semidirect
28. #36466C2semidirect
29. #36416C2semidirect
30. #36391C2semidirect
31. #36270C2semidirect
32. #35207C2semidirect
33. #35047C2semidirect
34. #34482C2semidirect
35. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#596582
#594332
#592332
#592192
#592182
#592172
#459072
#456492
#456272
#402632
#401212
#400752
#399312
#398832
#391942
#391192
#389672
#389662
#389142
#387352
#375732
#370212
#366402
#366312
#365032
#364682
#364662
#364162
#363912
#362702
#352072
#350472
#344822
C4×#5292