Finite Group Databasebeta

← #8463292

Subgroups — #8463292

Order 512.

4264 conjugacy classes of subgroups.

The subgroup lattice has 1597 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59828C211yesmaximal, characteristic, complemented
2#59305C211yesmaximal, characteristic, complemented
3#59214C211yesmaximal, characteristic, complemented
4#55824C214yesmaximal, complemented
5#55182C214yesmaximal, complemented
6#54737C214yesmaximal, complemented
7#53119C212yesmaximal, complemented
8#53086C212yesmaximal, complemented
9#47923C214yesmaximal, complemented
10#46069C212yesmaximal, complemented
11#45656C212yesmaximal, complemented
12#45071C212yesmaximal
13#44984C212yesmaximal, complemented
14#42888C212yesmaximal, complemented
15#42727C212yesmaximal, complemented
16#42637C212yesmaximal, complemented
17#42513C212yesmaximal, complemented
18#39754C211yesmaximal, characteristic, complemented
19#39613C212yesmaximal, complemented
20#39159C211yesmaximal, characteristic, complemented
21#39146C211yesmaximal, characteristic, complemented
22#39008C212yesmaximal, complemented
23#38973C212yesmaximal, complemented
24#38933C211yesmaximal, characteristic, complemented
25#38066C212yesmaximal, complemented
26#37623C211yesmaximal, characteristic, complemented
27#37413C212yesmaximal, complemented
28#37291C212yesmaximal, complemented
29#36449C211yesmaximal, characteristic, complemented
30#36261C211yesmaximal, characteristic, complemented
31#36181C211yesmaximal, characteristic, complemented
32#35206C211yesmaximal, characteristic, complemented
33#35202C211yesmaximal, characteristic, complemented
34#34943C211yesmaximal, characteristic
35#34803C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#554C2212yes—
38C2×#552C2212yes—
39#2864C2212yes—
40#2863C2212yes—
41#2859C2211yescharacteristic
42#2859C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2212yes—
46#2855C2212yes—
47#2851C2212yes—
48#2843C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2838C2214yes—
52#2836C2214yes—
53#2831C2214yes—
54#2827C2214yes—
55#2821C2214yes—
56#2805C2214yes—
57#2802C2214yes—
58#2802C2214yes—
59#2790C2214yes—
60#2787C2214yes—
61#2780C2214yes—
62#2776C2214yes—
63#2776C2214yes—
64#2776C2214yes—
65#2774C2214yes—
66#2774C2214yes—
67#2773C2214yes—
68#2771C2214yes—
69#2770C2214yes—
70#2770C2214yes—
71#2769C2214yes—
72#2766C2214yes—
73#2766C2214yes—
74#2766C2214yes—
75#2766C2214yes—
76#2762C2214yes—
77#2762C2214yes—
78#2758C2214yes—
79#2758C2214yes—
80#2758C2214yes—
81#2757C2214yes—
82#2746C2214yes—
83#2746C2214yes—
84#2745C2214yes—
85#2744C2214yes—
86#2743C2214yes—
87#2740C2214yes—
88#2739C2214yes—
89#2738C2214yes—
90#2738C2214yes—
91#2729C2214yes—
92#2729C2214yes—
93#2726C2214yes—
94#2723C2214yes—
95#2719C2214yes—
96#2719C2214yes—
97#2704C2214yes—
98#2704C2214yes—
99#2702C2214yes—
100#2694C2214yes—
101#2694C2214yes—
102#2690C2214yes—
103#2689C2214yes—
104#2681C2214yes—
105#2667C2214yes—
106#2660C2212yes—
107#2660C2212yes—
108#2660C2212yes—
109#2652C2214yes—
110#2652C2214yes—
111#2652C2214yes—
112#2647C2212yes—
113#2647C2212yes—
114#2647C2212yes—
115#2645C2212yes—
116#2645C2212yes—
117#2643C2214yes—
118#2637C2214yes—
119#2628C2214yes—
120#2627C2214yes—
121#2606C2214yes—
122#2599C2214yes—
123#2587C2214yes—
124#2584C2212yes—
125#2584C2212yes—
126#2583C2214yes—
127#2582C2212yes—
128#2581C2212yes—
129#2579C2214yes—
130#2578C2214yes—
131#2572C2212yes—
132#2572C2212yes—
133#2571C2211yescharacteristic
134#2571C2212yes—
135#2571C2211yescharacteristic
136#2570C2212yes—
137#2568C2211yescharacteristic
138#2568C2212yes—
139#2566C2212yes—
140#2566C2212yes—
141#2565C2212yes—
142#2565C2212yes—
143#2563C2211yescharacteristic
144#2563C2211yescharacteristic
145#2562C2212yes—
146#2552C2211yescharacteristic
147#2552C2211yescharacteristic
148#2552C2211yescharacteristic
149#2552C2211yescharacteristic
150#2552C2211yescharacteristic
151#2551C2211yescharacteristic
152#2550C2212yes—
153#2549C2214yes—
154#2547C2211yescharacteristic
155#2546C2212yes—
156#2538C2212yes—
157#2538C2211yescharacteristic
158#2537C2211yescharacteristic
159#2533C2212yes—
160#2530C2214yes—
161#2527C2212yes—
162#2523C2212yes—
163#2515C2214yes—
164#2514C2212yes—
165#2514C2212yes—
166#2514C2211yescharacteristic
167#2511C2212yes—
168#2509C2212yes—
169#2509C2211yescharacteristic
170#2508C2212yes—
171#2507C2212yes—
172#2506C2212yes—
173#2506C2212yes—
174#2506C2212yes—
175#2506C2212yes—
176#2503C2212yes—
177#2502C2212yes—
178#2499C2211yescharacteristic
179#2499C2212yes—
180#2497C2212yes—
181#2497C2212yes—
182#2496C2212yes—
183#2496C2212yes—
184#2496C2211yescharacteristic
185#2495C2212yes—
186#2495C2212yes—
187#2495C2211yescharacteristic
188#2495C2212yes—
189#2495C2211yescharacteristic
190#2495C2212yes—
191#2494C2212yes—
192#2494C2212yes—
193#2493C2214yes—
194#2493C2214yes—
195#2492C2212yes—
196#2492C2212yes—
197#2492C2211yescharacteristic
198#2489C2212yes—
199#2489C2212yes—
200#2487C2212yes—
201#2487C2212yes—
202#2486C2212yes—
203#2486C2212yes—
204#2485C2211yescharacteristic
205#2485C2212yes—
206#2477C2214yes—
207#2473C2214yes—
208#2473C2214yes—
209#2466C2214yes—
210#2466C2212yes—
211#2465C2214yes—
212#2465C2214yes—
213#2453C2212yes—
214#2453C2212yes—
215#2453C2212yes—
216#2447C2212yes—
217#2446C2214yes—
218#2443C2214yes—
219#2442C2214yes—
220#2442C2212yes—
221#2442C2212yes—
222#2442C2212yes—
223#2442C2212yes—
224#2441C2212yes—
225#2441C2212yes—
226#2441C2212yes—
227#2441C2212yes—
228#2441C2212yes—
229#2440C2212yes—
230#2440C2212yes—
231#2440C2212yes—
232#2440C2212yes—
233#2439C2211yescharacteristic
234#2427C2212yes—
235#2427C2212yes—
236#2423C2212yes—
237#2423C2212yes—
238#2423C2212yes—
239#2421C2212yes—
240#2421C2212yes—
241#2420C2211yescharacteristic
242#2420C2212yes—
243#2420C2211yescharacteristic
244#2417C2212yes—
245#2415C2214yes—
246#2415C2211yescharacteristic
247#2401C2212yes—
248#2398C2212yes—
249#2398C2212yes—
250#2398C2212yes—
251#2378C2214yes—
252#2365C2211yescharacteristic
253#2365C2211yescharacteristic
254#2363C2212yes—
255#2361C2212yes—
256#2360C2212yes—
257#2355C2211yescharacteristic
258#2352C2212yes—
259Q8×C4⋊C4C2212yes—
260Q8×C4⋊C4C2211yescharacteristic
261#2349C2212yes—
262D4×C4⋊C4C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2211yescharacteristic
265#2345C2212yes—
266#2344C2212yes—
267#2344C2212yes—
268#2331C2212yes—
269#2330C2212yes—
270#2330C2212yes—
271#2330C2212yes—
272#2326C2212yes—
273#2326C2212yes—
274#2320C2212yes—
275#2320C2212yes—
276#2318C2214yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×#126C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2295C2212yes—
288#2295C2211yescharacteristic
289C2×#389C2212yes—
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2212yes—
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#557—48no—
300#554—48no—
301#552—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2314yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2314yes—
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2314yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×#117C2314yes—
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2314yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365#401C2314yes—
366#401C2314yes—
367#401C2314yes—
368#401C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#393C2312yes—
485#393C2312yes—
486#393C2312yes—
487#393C2312yes—
488#393C2312yes—
489#393C2314yes—
490#393C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2312yes—
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#383C2312yes—
694#383C2314yes—
695#383C2312yes—
696#383C2312yes—
697#383C2312yes—
698#383C2312yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2312yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2412yes—
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×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2414yes—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—44no—
837C4⋊Q8—42no—
838C4⋊Q8—44no—
839C4⋊Q8—48no—
840#126—48no—
841#126—44no—
842#125—28no—
843#125—44no—
844#125—44no—
845#125—44no—
846#125—44no—
847#125—44no—
848#125—48no—
849#125—48no—
850#125—48no—
851#124—28no—
852#123—48no—
853C22⋊Q8—48no—
854C22⋊Q8—48no—
855C22⋊Q8—48no—
856C22⋊Q8—48no—
857C22⋊Q8—44no—
858C22⋊Q8—42no—
859C22⋊Q8—42no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862#121—24no—
863#121—24no—
864#121—44no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—48no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×D4—24no—
874C4×D4—24no—
875C4×D4—24no—
876C4×D4—24no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—42no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—48no—
883C4×D4—42no—
884#117—48no—
885#117—42no—
886#117—42no—
887#117—44no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4—44no—
892C2×C4⋊C4—48no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C42—24no—
1013C2×C42—24no—
1014C2×C42—44no—
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
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—24no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—42no—
1151C2×Q8—42no—
1152C2×Q8—42no—
1153C2×Q8—42no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—41no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D42−1+414yes—
1169C22×C4—22no—
1170C22×C4—24no—
1171C22×C4—28no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—41no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—41no—
1198C22×C4—42no—
1199C22×C4—41no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2514yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—22no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—22no—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—24no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—41no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C42—28no—
1356C42—24no—
1357C42—24no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—22no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—42no—
1373C42—42no—
1374C42—41no—
1375C42—42no—
1376C42—42no—
1377C42—42no—
1378C42—44no—
1379C42—41no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—42no—
1385C42H(5,𝔽2)14yes—
1386C422−1+414yes—
1387C23—22no—
1388C23—21no—
1389C23—22no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—21no—
1397C23—21no—
1398C23—22no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23C2×2−1+414yes—
1407C23#58512yes—
1408C23C2611yescharacteristic
1409Q8—48no—
1410Q8—48no—
1411Q8—44no—
1412Q8—84no—
1413Q8—164no—
1414D4—28no—
1415D4—44no—
1416D4—48no—
1417D4—84no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—24no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—84no—
1512C2×C4—82no—
1513C2×C4—88no—
1514C2×C4—84no—
1515C2×C4—88no—
1516C2×C4—164no—
1517C2×C4C2×H(5,𝔽2)12yes—
1518C2×C4C2×H(5,𝔽2)12yes—
1519C2×C4C2×H(5,𝔽2)12yes—
1520C2×C4C2×2−1+412yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4C2×2−1+412yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4#58512yes—
1525C2×C4#58512yes—
1526C22—24no—
1527C22—22no—
1528C22—24no—
1529C22—22no—
1530C22—22no—
1531C22—24no—
1532C22—42no—
1533C22—41no—
1534C22—41no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—42no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22C22×H(5,𝔽2)11yescharacteristic
1548C22C22×2−1+411yescharacteristic
1549C22C22×2−1+411yescharacteristic
1550C22C2×#58511yescharacteristic
1551C22C2×#58511yescharacteristic
1552C22C2×#58511yescharacteristic
1553C222−1+611yescharacteristic
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4—41no—
1562C4—41no—
1563C4—44no—
1564C4—41no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4—44no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—44no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—42no—
1583C4—41no—
1584C4#355214yes—
1585C4#356514yes—
1586C2—44no—
1587C2—42no—
1588C2—81no—
1589C2C2×#356511yescharacteristic
1590C2C2×#355211yescharacteristic
1591C2#6283011yescharacteristic
1592C2#6292511yescharacteristic
1593C2#6292811yescharacteristic
1594C2#6295011yescharacteristic
1595C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59828C2semidirect
2. #59305C2semidirect
3. #59214C2semidirect
4. #55824C2semidirect
5. #55182C2semidirect
6. #54737C2semidirect
7. #53119C2semidirect
8. #53086C2semidirect
9. #47923C2semidirect
10. #46069C2semidirect
11. #45656C2semidirect
13. #44984C2semidirect
14. #42888C2semidirect
15. #42727C2semidirect
16. #42637C2semidirect
17. #42513C2semidirect
18. #39754C2semidirect
19. #39613C2semidirect
20. #39159C2semidirect
21. #39146C2semidirect
22. #39008C2semidirect
23. #38973C2semidirect
24. #38933C2semidirect
25. #38066C2semidirect
26. #37623C2semidirect
27. #37413C2semidirect
28. #37291C2semidirect
29. #36449C2semidirect
30. #36261C2semidirect
31. #36181C2semidirect
32. #35206C2semidirect
33. #35202C2semidirect
35. #34803C2semidirect

Maximal subgroups

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

subgroupindex
#598282
#593052
#592142
#558242
#551822
#547372
#531192
#530862
#479232
#460692
#456562
#450712
#449842
#428882
#427272
#426372
#425132
#397542
#396132
#391592
#391462
#390082
#389732
#389332
#380662
#376232
#374132
#372912
#364492
#362612
#361812
#352062
#352022
#349432
#348032