Finite Group Databasebeta

← #8463249

Subgroups — #8463249

Order 512.

4242 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59667C211yesmaximal, characteristic, complemented
2#59314C211yesmaximal, characteristic, complemented
3#59227C211yesmaximal, characteristic, complemented
4#58964C214yesmaximal, complemented
5#58357C214yesmaximal, complemented
6#54518C214yesmaximal, complemented
7#53148C212yesmaximal, complemented
8#53082C212yesmaximal, complemented
9#51506C214yesmaximal, complemented
10#46175C212yesmaximal, complemented
11#46023C212yesmaximal, complemented
12#45143C212yesmaximal, complemented
13#45017C212yesmaximal, complemented
14#42780C212yesmaximal, complemented
15#42743C212yesmaximal, complemented
16#42675C212yesmaximal, complemented
17#42465C212yesmaximal
18#39955C212yesmaximal, complemented
19#39754C211yesmaximal, characteristic, complemented
20#39481C211yesmaximal, characteristic, complemented
21#39203C212yesmaximal, complemented
22#39149C211yesmaximal, characteristic, complemented
23#38967C211yesmaximal, characteristic, complemented
24#38266C212yesmaximal, complemented
25#38263C212yesmaximal, complemented
26#37628C211yesmaximal, characteristic, complemented
27#37397C212yesmaximal, complemented
28#37314C212yesmaximal, complemented
29#36288C211yesmaximal, characteristic, complemented
30#36272C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic, complemented
32#35286C211yesmaximal, characteristic, complemented
33#35192C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic
35#34793C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#554C2212yes—
38C2×#552C2212yes—
39#2864C2212yes—
40#2862C2212yes—
41#2862C2212yes—
42#2859C2212yes—
43#2859C2211yescharacteristic
44#2859C2212yes—
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2839C2214yes—
49#2838C2214yes—
50#2837C2214yes—
51#2836C2214yes—
52#2831C2214yes—
53#2824C2214yes—
54#2820C2214yes—
55#2814C2214yes—
56#2808C2214yes—
57#2806C2214yes—
58#2802C2214yes—
59#2798C2214yes—
60#2798C2214yes—
61#2798C2214yes—
62#2788C2214yes—
63#2788C2214yes—
64#2787C2214yes—
65#2781C2214yes—
66#2781C2214yes—
67#2779C2214yes—
68#2776C2214yes—
69#2774C2214yes—
70#2774C2214yes—
71#2773C2214yes—
72#2773C2214yes—
73#2773C2214yes—
74#2772C2214yes—
75#2772C2214yes—
76#2767C2214yes—
77#2767C2214yes—
78#2767C2214yes—
79#2763C2214yes—
80#2755C2214yes—
81#2755C2214yes—
82#2754C2214yes—
83#2754C2214yes—
84#2754C2214yes—
85#2742C2214yes—
86#2741C2214yes—
87#2741C2214yes—
88#2739C2214yes—
89#2729C2214yes—
90#2729C2214yes—
91#2726C2214yes—
92#2725C2214yes—
93#2720C2214yes—
94#2719C2214yes—
95#2719C2214yes—
96#2719C2214yes—
97#2719C2214yes—
98#2713C2214yes—
99#2713C2214yes—
100#2704C2214yes—
101#2702C2214yes—
102#2694C2214yes—
103#2690C2214yes—
104#2674C2214yes—
105#2665C2214yes—
106#2664C2214yes—
107#2660C2212yes—
108#2654C2214yes—
109#2653C2214yes—
110#2647C2212yes—
111#2647C2214yes—
112#2645C2214yes—
113#2645C2212yes—
114#2644C2212yes—
115#2630C2214yes—
116#2628C2212yes—
117#2625C2214yes—
118#2625C2212yes—
119#2624C2212yes—
120#2621C2212yes—
121#2612C2214yes—
122#2612C2214yes—
123#2611C2214yes—
124#2611C2214yes—
125#2605C2214yes—
126#2604C2214yes—
127#2584C2212yes—
128#2581C2212yes—
129#2581C2212yes—
130#2574C2214yes—
131#2571C2212yes—
132#2571C2212yes—
133#2571C2211yescharacteristic
134#2571C2211yescharacteristic
135#2571C2212yes—
136#2571C2211yescharacteristic
137#2570C2212yes—
138#2570C2212yes—
139#2570C2212yes—
140#2563C2212yes—
141#2562C2212yes—
142#2553C2214yes—
143#2552C2211yescharacteristic
144#2552C2211yescharacteristic
145#2552C2212yes—
146#2551C2212yes—
147#2551C2211yescharacteristic
148#2551C2211yescharacteristic
149#2550C2212yes—
150#2546C2211yescharacteristic
151#2542C2212yes—
152#2542C2211yescharacteristic
153#2538C2211yescharacteristic
154#2536C2212yes—
155#2532C2212yes—
156#2530C2212yes—
157#2530C2214yes—
158#2530C2214yes—
159#2529C2214yes—
160#2528C2214yes—
161#2528C2212yes—
162#2526C2212yes—
163#2518C2212yes—
164#2517C2212yes—
165#2513C2211yescharacteristic
166#2513C2212yes—
167#2513C2212yes—
168#2513C2212yes—
169#2511C2211yescharacteristic
170#2511C2212yes—
171#2509C2212yes—
172#2509C2212yes—
173#2508C2212yes—
174#2508C2212yes—
175#2508C2211yescharacteristic
176#2507C2212yes—
177#2507C2212yes—
178#2507C2212yes—
179#2506C2212yes—
180#2506C2212yes—
181#2506C2212yes—
182#2506C2211yescharacteristic
183#2500C2212yes—
184#2500C2211yescharacteristic
185#2499C2212yes—
186#2499C2211yescharacteristic
187#2497C2211yescharacteristic
188#2497C2212yes—
189#2497C2212yes—
190#2496C2212yes—
191#2494C2212yes—
192#2494C2211yescharacteristic
193#2492C2212yes—
194#2491C2211yescharacteristic
195#2489C2212yes—
196#2489C2212yes—
197#2489C2214yes—
198#2489C2211yescharacteristic
199#2487C2212yes—
200#2487C2212yes—
201#2485C2214yes—
202#2485C2211yescharacteristic
203#2485C2211yescharacteristic
204#2462C2214yes—
205#2460C2214yes—
206#2460C2214yes—
207#2460C2212yes—
208#2459C2212yes—
209#2454C2212yes—
210#2453C2212yes—
211#2453C2212yes—
212#2451C2212yes—
213#2449C2214yes—
214#2442C2212yes—
215#2442C2214yes—
216#2442C2212yes—
217#2442C2212yes—
218#2442C2212yes—
219#2441C2211yescharacteristic
220#2441C2212yes—
221#2440C2212yes—
222#2440C2212yes—
223#2439C2212yes—
224#2439C2212yes—
225#2439C2212yes—
226#2439C2212yes—
227#2439C2212yes—
228#2439C2212yes—
229#2439C2211yescharacteristic
230#2429C2212yes—
231#2429C2212yes—
232#2429C2212yes—
233#2423C2212yes—
234#2423C2212yes—
235#2423C2212yes—
236#2422C2212yes—
237#2421C2212yes—
238#2421C2212yes—
239#2421C2214yes—
240#2421C2214yes—
241#2417C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2415C2212yes—
245#2415C2211yescharacteristic
246#2414C2211yescharacteristic
247#2401C2212yes—
248#2398C2212yes—
249#2395C2212yes—
250#2392C2212yes—
251#2382C2214yes—
252#2369C2212yes—
253#2365C2212yes—
254#2365C2211yescharacteristic
255#2365C2211yescharacteristic
256#2361C2212yes—
257#2360C2212yes—
258#2360C2212yes—
259#2355C2211yescharacteristic
260#2354C2211yescharacteristic
261#2352C2212yes—
262Q8×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2211yescharacteristic
264#2346C2212yes—
265#2346C2212yes—
266#2346C2212yes—
267#2345C2212yes—
268#2331C2212yes—
269#2331C2212yes—
270#2330C2212yes—
271#2327C2212yes—
272#2323C2214yes—
273#2317C2212yes—
274#2316C2212yes—
275#2316C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2298C2212yes—
287#2298C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#557—48no—
300#554—48no—
301#552—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2314yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2314yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365#401C2312yes—
366#401C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2312yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2312yes—
488#393C2314yes—
489#393C2312yes—
490#392C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2314yes—
508#391C2311yescharacteristic
509#391C2314yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
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#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
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#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#383C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2314yes—
723#382C2314yes—
724#382C2314yes—
725#382C2314yes—
726#382C2314yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2312yes—
730#381C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2414yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2414yes—
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C4⋊Q8—28no—
832C4⋊Q8—24no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—42no—
837C4⋊Q8—44no—
838C4⋊Q8—48no—
839#126—48no—
840#125—24no—
841#125—48no—
842#125—44no—
843#125—48no—
844#125—44no—
845#125—48no—
846#125—44no—
847#125—44no—
848#125—48no—
849#125—48no—
850#124—44no—
851#123—48no—
852C22⋊Q8—24no—
853C22⋊Q8—48no—
854C22⋊Q8—48no—
855C22⋊Q8—42no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—48no—
862#121—24no—
863#121—42no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—48no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×D4—24no—
872C4×D4—24no—
873C4×D4—44no—
874C4×D4—42no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—42no—
878C4×D4—48no—
879#117—28no—
880#117—24no—
881#117—24no—
882#117—44no—
883#117—48no—
884#117—44no—
885#117—44no—
886#117—42no—
887#117—42no—
888C2×C4⋊C4—28no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4—44no—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C42—24no—
1017C2×C42—24no—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139C24C2511yescharacteristic
1140C24C2512yes—
1141C24C2511yescharacteristic
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—28no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—42no—
1150C2×Q8—44no—
1151C2×Q8—42no—
1152C2×Q8—44no—
1153C2×Q8—42no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—42no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—28no—
1186C22×C4—22no—
1187C22×C4—41no—
1188C22×C4—44no—
1189C22×C4—41no—
1190C22×C4—44no—
1191C22×C4—41no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C42−1+414yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—41no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4H(5,𝔽2)14yes—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—22no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—22no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—22no—
1321C22⋊C4—24no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—44no—
1339C22⋊C4—41no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C42—24no—
1353C42—28no—
1354C42—24no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—22no—
1367C42—24no—
1368C42—22no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—42no—
1374C42—41no—
1375C42—44no—
1376C42—42no—
1377C42—42no—
1378C42—44no—
1379C42—44no—
1380C42—42no—
1381C42—41no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—42no—
1386C422−1+414yes—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—22no—
1395C23—21no—
1396C23—22no—
1397C23—22no—
1398C23—21no—
1399C23—22no—
1400C23—21no—
1401C23—22no—
1402C23—21no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—22no—
1407C23C2×2−1+412yes—
1408C23C2611yescharacteristic
1409Q8—48no—
1410Q8—44no—
1411Q8—88no—
1412Q8—84no—
1413Q8—164no—
1414D4—44no—
1415D4—48no—
1416D4—44no—
1417D4—84no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—28no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—48no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—88no—
1511C2×C4—82no—
1512C2×C4—164no—
1513C2×C4C2×H(5,𝔽2)14yes—
1514C2×C4C2×H(5,𝔽2)12yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4C2×2−1+412yes—
1517C2×C4C2×2−1+412yes—
1518C2×C4C2×2−1+412yes—
1519C2×C4C2×2−1+412yes—
1520C2×C4#58512yes—
1521C2×C4#58512yes—
1522C2×C4#58512yes—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—42no—
1532C22—41no—
1533C22—42no—
1534C22—42no—
1535C22—41no—
1536C22—41no—
1537C22—42no—
1538C22—42no—
1539C22—41no—
1540C22—41no—
1541C22—42no—
1542C22—42no—
1543C22—41no—
1544C22C22×H(5,𝔽2)11yescharacteristic
1545C22C22×2−1+411yescharacteristic
1546C22C22×2−1+411yescharacteristic
1547C22C2×#58511yescharacteristic
1548C22C2×#58511yescharacteristic
1549C22C2×#58511yescharacteristic
1550C222−1+611yescharacteristic
1551C4—22no—
1552C4—24no—
1553C4—22no—
1554C4—22no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—42no—
1559C4—44no—
1560C4—42no—
1561C4—44no—
1562C4—44no—
1563C4—42no—
1564C4—41no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—41no—
1570C4—42no—
1571C4—41no—
1572C4—42no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—41no—
1577C4—41no—
1578C4—44no—
1579C4—42no—
1580C4—42no—
1581C4#354714yes—
1582C4#356314yes—
1583C2—42no—
1584C2—81no—
1585C2—82no—
1586C2C2×#356311yescharacteristic
1587C2C2×#354711yescharacteristic
1588C2#6283811yescharacteristic
1589C2#6291311yescharacteristic
1590C2#6292811yescharacteristic
1591C2#6296811yescharacteristic
1592C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59667C2semidirect
2. #59314C2semidirect
3. #59227C2semidirect
4. #58964C2semidirect
5. #58357C2semidirect
6. #54518C2semidirect
7. #53148C2semidirect
8. #53082C2semidirect
9. #51506C2semidirect
10. #46175C2semidirect
11. #46023C2semidirect
12. #45143C2semidirect
13. #45017C2semidirect
14. #42780C2semidirect
15. #42743C2semidirect
16. #42675C2semidirect
18. #39955C2semidirect
19. #39754C2semidirect
20. #39481C2semidirect
21. #39203C2semidirect
22. #39149C2semidirect
23. #38967C2semidirect
24. #38266C2semidirect
25. #38263C2semidirect
26. #37628C2semidirect
27. #37397C2semidirect
28. #37314C2semidirect
29. #36288C2semidirect
30. #36272C2semidirect
31. #36189C2semidirect
32. #35286C2semidirect
33. #35192C2semidirect
35. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#596672
#593142
#592272
#589642
#583572
#545182
#531482
#530822
#515062
#461752
#460232
#451432
#450172
#427802
#427432
#426752
#424652
#399552
#397542
#394812
#392032
#391492
#389672
#382662
#382632
#376282
#373972
#373142
#362882
#362722
#361892
#352862
#351922
#348002
#347932