Finite Group Databasebeta

← #7987063

Subgroups — #7987063

Order 512.

4430 conjugacy classes of subgroups.

The subgroup lattice has 1640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59673C211yesmaximal, characteristic, complemented
2#59297C212yesmaximal, complemented
3#59229C211yesmaximal, characteristic, complemented
4#59225C212yesmaximal, complemented
5#59212C211yesmaximal, characteristic, complemented
6#50225C214yesmaximal, complemented
7#49310C214yesmaximal, complemented
8#46049C212yesmaximal, complemented
9#45641C212yesmaximal, complemented
10#45054C212yesmaximal, complemented
11#44906C212yesmaximal, complemented
12#44620C214yesmaximal, complemented
13#42764C212yesmaximal, complemented
14#42686C212yesmaximal, complemented
15#41876C214yesmaximal, complemented
16#40147C212yesmaximal, complemented
17#39904C212yesmaximal, complemented
18#39608C211yesmaximal, characteristic, complemented
19#39529C212yesmaximal, complemented
20#39032C212yesmaximal, complemented
21#38932C211yesmaximal, characteristic, complemented
22#37939C212yesmaximal, complemented
23#36459C211yesmaximal, characteristic, complemented
24#36407C211yesmaximal, characteristic, complemented
25#36290C211yesmaximal, characteristic, complemented
26#36209C211yesmaximal, characteristic, complemented
27#36176C211yesmaximal, characteristic, complemented
28#36175C212yesmaximal, complemented
29#35192C211yesmaximal, characteristic, complemented
30#35181C211yesmaximal, characteristic, complemented
31#35029C212yesmaximal, complemented
32#34943C211yesmaximal, characteristic, complemented
33#34917C211yesmaximal, characteristic, complemented
34#34467C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#553C2211yescharacteristic
38#2864C2212yes—
39#2862C2212yes—
40#2860C2212yes—
41#2859C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2212yes—
44#2857C2211yescharacteristic
45#2854C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2831C2214yes—
50#2824C2214yes—
51#2799C2214yes—
52#2795C2214yes—
53#2794C2214yes—
54#2778C2214yes—
55#2775C2214yes—
56#2775C2214yes—
57#2772C2214yes—
58#2769C2214yes—
59#2766C2214yes—
60#2764C2214yes—
61#2764C2214yes—
62#2763C2214yes—
63#2761C2214yes—
64#2761C2214yes—
65#2758C2214yes—
66#2757C2214yes—
67#2754C2214yes—
68#2751C2214yes—
69#2744C2214yes—
70#2739C2214yes—
71#2738C2214yes—
72#2728C2214yes—
73#2715C2214yes—
74#2710C2214yes—
75#2702C2214yes—
76#2698C2214yes—
77#2696C2214yes—
78#2692C2214yes—
79#2687C2214yes—
80#2687C2214yes—
81#2686C2214yes—
82#2686C2214yes—
83#2682C2214yes—
84#2665C2214yes—
85#2655C2214yes—
86#2654C2214yes—
87#2649C2214yes—
88#2649C2214yes—
89#2647C2212yes—
90#2646C2214yes—
91#2630C2214yes—
92#2628C2212yes—
93#2612C2214yes—
94#2605C2214yes—
95#2595C2214yes—
96#2581C2214yes—
97#2578C2212yes—
98#2576C2212yes—
99#2574C2214yes—
100#2573C2214yes—
101#2572C2214yes—
102#2571C2211yescharacteristic
103#2571C2211yescharacteristic
104#2571C2212yes—
105#2571C2211yescharacteristic
106#2570C2212yes—
107#2570C2214yes—
108#2570C2211yescharacteristic
109#2570C2212yes—
110#2566C2211yescharacteristic
111#2563C2211yescharacteristic
112#2563C2212yes—
113#2563C2211yescharacteristic
114#2562C2212yes—
115#2562C2211yescharacteristic
116#2560C2214yes—
117#2556C2214yes—
118#2553C2214yes—
119#2552C2211yescharacteristic
120#2552C2211yescharacteristic
121#2552C2212yes—
122#2551C2211yescharacteristic
123#2551C2211yescharacteristic
124#2550C2212yes—
125#2550C2212yes—
126#2547C2212yes—
127#2537C2211yescharacteristic
128#2536C2212yes—
129#2535C2211yescharacteristic
130#2535C2212yes—
131#2532C2214yes—
132#2532C2214yes—
133#2532C2214yes—
134#2530C2214yes—
135#2530C2214yes—
136#2529C2214yes—
137#2527C2214yes—
138#2527C2214yes—
139#2524C2214yes—
140#2523C2214yes—
141#2523C2214yes—
142#2515C2212yes—
143#2514C2214yes—
144#2513C2212yes—
145#2509C2212yes—
146#2509C2212yes—
147#2509C2212yes—
148#2508C2212yes—
149#2508C2212yes—
150#2508C2212yes—
151#2508C2212yes—
152#2508C2212yes—
153#2508C2212yes—
154#2507C2212yes—
155#2505C2214yes—
156#2504C2212yes—
157#2503C2214yes—
158#2497C2211yescharacteristic
159#2497C2212yes—
160#2496C2212yes—
161#2495C2212yes—
162#2495C2212yes—
163#2495C2212yes—
164#2495C2212yes—
165#2495C2212yes—
166#2495C2212yes—
167#2495C2212yes—
168#2495C2212yes—
169#2494C2212yes—
170#2494C2212yes—
171#2494C2211yescharacteristic
172#2491C2212yes—
173#2490C2212yes—
174#2489C2212yes—
175#2489C2212yes—
176#2488C2214yes—
177#2488C2214yes—
178#2487C2212yes—
179#2486C2212yes—
180#2486C2212yes—
181#2485C2212yes—
182#2485C2212yes—
183#2485C2212yes—
184#2485C2212yes—
185#2485C2212yes—
186#2481C2214yes—
187#2478C2214yes—
188#2474C2214yes—
189#2473C2214yes—
190#2458C2214yes—
191#2457C2212yes—
192#2454C2212yes—
193#2452C2212yes—
194#2452C2212yes—
195#2447C2214yes—
196#2443C2214yes—
197#2442C2212yes—
198#2442C2212yes—
199#2442C2212yes—
200#2441C2212yes—
201#2440C2212yes—
202#2439C2212yes—
203#2439C2212yes—
204#2439C2212yes—
205#2439C2212yes—
206#2439C2212yes—
207#2439C2212yes—
208#2422C2212yes—
209#2422C2211yescharacteristic
210#2420C2212yes—
211#2420C2212yes—
212#2420C2211yescharacteristic
213#2420C2212yes—
214#2416C2212yes—
215#2414C2212yes—
216#2413C2214yes—
217#2401C2212yes—
218#2398C2214yes—
219#2392C2212yes—
220#2379C2214yes—
221#2377C2214yes—
222#2374C2212yes—
223#2373C2212yes—
224#2370C2211yescharacteristic
225#2370C2212yes—
226#2369C2211yescharacteristic
227#2369C2211yescharacteristic
228#2369C2212yes—
229#2367C2214yes—
230#2365C2212yes—
231#2365C2212yes—
232#2364C2212yes—
233#2363C2212yes—
234#2363C2211yescharacteristic
235#2361C2211yescharacteristic
236#2357C2211yescharacteristic
237#2356C2212yes—
238#2356C2214yes—
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2212yes—
242#2353C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2352C2211yescharacteristic
246#2349C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2212yes—
250#2347C2212yes—
251#2347C2211yescharacteristic
252#2346C2212yes—
253#2346C2212yes—
254#2346C2212yes—
255#2345C2211yescharacteristic
256#2344C2212yes—
257#2343C2214yes—
258#2337C2214yes—
259#2331C2212yes—
260#2331C2212yes—
261#2326C2214yes—
262#2325C2214yes—
263#2324C2212yes—
264#2319C2212yes—
265#2318C2214yes—
266#2317C2212yes—
267#2317C2212yes—
268#2314C2214yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#125C2211yescharacteristic
272C4×#125C2212yes—
273C4×#126C2212yes—
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2212yes—
283#2296C2212yes—
284C2×#389C2212yes—
285#2290C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2283C2211yescharacteristic
290#2283C2212yes—
291#2283C2212yes—
292#2283C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#555—216no—
300#553—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#125C2311yescharacteristic
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#124C2314yes—
314C2×#124C2314yes—
315C2×#123C2312yes—
316C2×#123C2312yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2311yescharacteristic
326C2×#121C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2314yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×#117C2314yes—
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2314yes—
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2312yes—
367C22×C42C2312yes—
368C22×C42C2312yes—
369#401C2312yes—
370#401C2314yes—
371#400C2314yes—
372#400C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#399C2314yes—
395#399C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2312yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#396C2312yes—
430#396C2312yes—
431#396C2314yes—
432#396C2314yes—
433#396C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#392C2312yes—
462#392C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#390C2314yes—
480#390C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#386C2312yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2312yes—
627#386C2312yes—
628#386C2312yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#385C2312yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2314yes—
659#384C2312yes—
660#384C2312yes—
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#383C2312yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2312yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#382C2311yescharacteristic
675#382C2314yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2314yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2314yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#382C2314yes—
692#382C2314yes—
693#382C2312yes—
694#381C2314yes—
695#381C2314yes—
696#381C2312yes—
697#381C2314yes—
698#381C2312yes—
699#381C2314yes—
700#381C2312yes—
701#381C2314yes—
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807#376C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C22×Q8C2412yes—
813C22×Q8C2414yes—
814C22×Q8C2414yes—
815C22×D4C2411yescharacteristic
816C22×D4C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2414yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C4⋊Q8—28no—
840C4⋊Q8—24no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844#126—28no—
845#126—84no—
846#125—24no—
847#125—44no—
848#125—44no—
849#125—42no—
850#125—82no—
851#124—216no—
852#124—216no—
853#123—28no—
854#123—44no—
855#123—84no—
856#123—84no—
857C22⋊Q8—84no—
858C22⋊Q8—82no—
859C22⋊Q8—82no—
860C22⋊Q8—84no—
861#121—24no—
862#121—28no—
863#121—28no—
864#121—216no—
865#121—42no—
866#121—44no—
867#121—42no—
868#121#4118yes—
869C4×Q8—44no—
870C4×Q8—48no—
871C4×D4—28no—
872C4×D4—24no—
873C4×D4—28no—
874C4×D4—24no—
875C4×D4—28no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—42no—
879C4×D4—42no—
880C4×D4—42no—
881C4×D4—44no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—42no—
886C4×D4—48no—
887C4×D4—44no—
888C4×D4—44no—
889#117—28no—
890#117—24no—
891#117—28no—
892#117—216no—
893#117—44no—
894#117—44no—
895#117—42no—
896#117—44no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4—42no—
901C2×C4⋊C4—84no—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C42—24no—
1021C2×C42—24no—
1022C2×C42—44no—
1023C2×C42—44no—
1024C2×C42—44no—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143C24C2512yes—
1144C24C2511yescharacteristic
1145C24C2512yes—
1146C24C2511yescharacteristic
1147C2×Q8—28no—
1148C2×Q8—24no—
1149C2×Q8—42no—
1150C2×Q8—44no—
1151C2×Q8—42no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×D4—22no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—28no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4C2×#4114yes—
1179C2×D4C2×#4118yes—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—28no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—44no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4C2×#4114yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4C2×#4114yes—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—22no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—22no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4C2×#4118yes—
1377C42—28no—
1378C42—28no—
1379C42—24no—
1380C42—22no—
1381C42—24no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—22no—
1395C42—22no—
1396C42—28no—
1397C42—24no—
1398C42—42no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42—42no—
1403C42—42no—
1404C42—44no—
1405C42—44no—
1406C42—42no—
1407C42—42no—
1408C42—44no—
1409C42—44no—
1410C42—41no—
1411C42—42no—
1412C422−1+414yes—
1413C23—22no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—22no—
1427C23—22no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—21no—
1437C23—22no—
1438C23—21no—
1439C23C22×#4112yes—
1440C23C22×#4114yes—
1441C23C2611yescharacteristic
1442Q8—88no—
1443Q8—84no—
1444Q8—164no—
1445D4—28no—
1446D4—48no—
1447D4—44no—
1448D4—44no—
1449D4—84no—
1450D4—84no—
1451D4—88no—
1452D4—84no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—28no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—24no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—44no—
1538C2×C4—48no—
1539C2×C4—44no—
1540C2×C4—48no—
1541C2×C4—44no—
1542C2×C4—84no—
1543C2×C4—84no—
1544C2×C4—82no—
1545C2×C4—82no—
1546C2×C4—88no—
1547C2×C4—84no—
1548C2×C4—84no—
1549C2×C4—84no—
1550C2×C4—88no—
1551C2×C4—84no—
1552C2×C4C22×#4112yes—
1553C2×C4C22×#4114yes—
1554C2×C4C22×#4112yes—
1555C2×C4C2×2−1+412yes—
1556C2×C4C2×2−1+412yes—
1557C2×C4C2×2−1+412yes—
1558C2×C4#58512yes—
1559C2×C4#58512yes—
1560C2×C4#58512yes—
1561C2×C4#58512yes—
1562C22—24no—
1563C22—22no—
1564C22—22no—
1565C22—24no—
1566C22—22no—
1567C22—24no—
1568C22—42no—
1569C22—41no—
1570C22—41no—
1571C22—42no—
1572C22—41no—
1573C22—42no—
1574C22—42no—
1575C22—41no—
1576C22—41no—
1577C22—42no—
1578C22—41no—
1579C22—42no—
1580C22—42no—
1581C22—41no—
1582C22—42no—
1583C22—41no—
1584C22—41no—
1585C22—42no—
1586C22—41no—
1587C22—42no—
1588C22—42no—
1589C22—41no—
1590C22C23×#4111yescharacteristic
1591C22C22×2−1+411yescharacteristic
1592C22C2×#58511yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22H(7,𝔽2)11yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—24no—
1600C4—22no—
1601C4—44no—
1602C4—41no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—41no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—41no—
1614C4—42no—
1615C4—41no—
1616C4—44no—
1617C4—42no—
1618C4—41no—
1619C4—41no—
1620C4—44no—
1621C4—41no—
1622C4—42no—
1623C4—44no—
1624C4—42no—
1625C4—42no—
1626C4#351514yes—
1627C4#356514yes—
1628C2—44no—
1629C2—42no—
1630C2—81no—
1631C2—82no—
1632C2C2×#356511yescharacteristic
1633C2C2×#351511yescharacteristic
1634C2#6278111yescharacteristic
1635C2#6292911yescharacteristic
1636C2#6293811yescharacteristic
1637C2#6299411yescharacteristic
1638C2#6302811yescharacteristic
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. #59673C2semidirect
2. #59297C2semidirect
3. #59229C2semidirect
4. #59225C2semidirect
5. #59212C2semidirect
6. #50225C2semidirect
7. #49310C2semidirect
8. #46049C2semidirect
9. #45641C2semidirect
10. #45054C2semidirect
11. #44906C2semidirect
12. #44620C2semidirect
13. #42764C2semidirect
14. #42686C2semidirect
15. #41876C2semidirect
16. #40147C2semidirect
17. #39904C2semidirect
18. #39608C2semidirect
19. #39529C2semidirect
20. #39032C2semidirect
21. #38932C2semidirect
22. #37939C2semidirect
23. #36459C2semidirect
24. #36407C2semidirect
25. #36290C2semidirect
26. #36209C2semidirect
27. #36176C2semidirect
28. #36175C2semidirect
29. #35192C2semidirect
30. #35181C2semidirect
31. #35029C2semidirect
32. #34943C2semidirect
33. #34917C2semidirect
34. #34467C2semidirect
35. C4×#553C2semidirect

Maximal subgroups

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

subgroupindex
#596732
#592972
#592292
#592252
#592122
#502252
#493102
#460492
#456412
#450542
#449062
#446202
#427642
#426862
#418762
#401472
#399042
#396082
#395292
#390322
#389322
#379392
#364592
#364072
#362902
#362092
#361762
#361752
#351922
#351812
#350292
#349432
#349172
#344672
C4×#5532