Finite Group Databasebeta

← #8429274

Subgroups — #8429274

Order 512.

4225 conjugacy classes of subgroups.

The subgroup lattice has 1589 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59672C211yesmaximal, characteristic, complemented
2#59587C212yesmaximal, complemented
3#59557C212yesmaximal, complemented
4#59235C211yesmaximal, characteristic, complemented
5#59218C211yesmaximal, characteristic, complemented
6#58496C214yesmaximal, complemented
7#57889C214yesmaximal, complemented
8#53122C212yesmaximal, complemented
9#53083C212yesmaximal, complemented
10#53067C212yesmaximal, complemented
11#53048C212yesmaximal, complemented
12#52924C214yesmaximal, complemented
13#42924C212yesmaximal, complemented
14#42773C212yesmaximal, complemented
15#42740C212yesmaximal
16#42660C212yesmaximal, complemented
17#42301C214yesmaximal, complemented
18#39625C211yesmaximal, characteristic, complemented
19#39608C211yesmaximal, characteristic, complemented
20#39546C212yesmaximal, complemented
21#39497C211yesmaximal, characteristic, complemented
22#39480C211yesmaximal, characteristic, complemented
23#39407C212yesmaximal, complemented
24#39399C212yesmaximal, complemented
25#39298C212yesmaximal, complemented
26#37643C211yesmaximal, characteristic, complemented
27#37637C211yesmaximal, characteristic, complemented
28#37637C212yesmaximal, complemented
29#37592C212yesmaximal, complemented
30#36459C211yesmaximal, characteristic, complemented
31#36287C211yesmaximal, characteristic, complemented
32#36188C211yesmaximal, characteristic, complemented
33#34978C211yesmaximal, characteristic, complemented
34#34797C211yesmaximal, characteristic
35#34793C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#541C2214yes—
38#2868C2211yescharacteristic
39#2860C2212yes—
40#2859C2212yes—
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2845C2214yes—
44#2839C2214yes—
45#2838C2214yes—
46#2837C2214yes—
47#2836C2214yes—
48#2836C2214yes—
49#2836C2214yes—
50#2831C2214yes—
51#2831C2214yes—
52#2831C2214yes—
53#2830C2214yes—
54#2827C2214yes—
55#2823C2214yes—
56#2820C2214yes—
57#2809C2214yes—
58#2800C2214yes—
59#2793C2214yes—
60#2793C2214yes—
61#2792C2214yes—
62#2791C2214yes—
63#2790C2214yes—
64#2787C2214yes—
65#2786C2214yes—
66#2783C2214yes—
67#2777C2214yes—
68#2772C2214yes—
69#2766C2214yes—
70#2765C2214yes—
71#2763C2214yes—
72#2762C2214yes—
73#2762C2214yes—
74#2761C2214yes—
75#2757C2214yes—
76#2755C2214yes—
77#2744C2214yes—
78#2734C2214yes—
79#2731C2214yes—
80#2730C2214yes—
81#2729C2214yes—
82#2725C2214yes—
83#2723C2214yes—
84#2721C2214yes—
85#2719C2214yes—
86#2716C2214yes—
87#2713C2214yes—
88#2704C2214yes—
89#2698C2214yes—
90#2692C2214yes—
91#2690C2214yes—
92#2690C2214yes—
93#2689C2214yes—
94#2666C2214yes—
95#2664C2214yes—
96#2662C2214yes—
97#2660C2212yes—
98#2650C2214yes—
99#2647C2214yes—
100#2647C2212yes—
101#2644C2212yes—
102#2644C2214yes—
103#2637C2214yes—
104#2637C2214yes—
105#2637C2214yes—
106#2634C2214yes—
107#2629C2212yes—
108#2629C2212yes—
109#2629C2212yes—
110#2629C2212yes—
111#2629C2214yes—
112#2629C2212yes—
113#2629C2212yes—
114#2628C2212yes—
115#2625C2212yes—
116#2625C2212yes—
117#2612C2214yes—
118#2612C2214yes—
119#2609C2214yes—
120#2601C2214yes—
121#2601C2214yes—
122#2594C2214yes—
123#2590C2214yes—
124#2585C2214yes—
125#2571C2211yescharacteristic
126#2570C2212yes—
127#2568C2212yes—
128#2567C2211yescharacteristic
129#2567C2212yes—
130#2566C2212yes—
131#2565C2214yes—
132#2563C2211yescharacteristic
133#2563C2212yes—
134#2562C2212yes—
135#2560C2214yes—
136#2556C2214yes—
137#2552C2211yescharacteristic
138#2552C2212yes—
139#2552C2212yes—
140#2552C2211yescharacteristic
141#2552C2211yescharacteristic
142#2552C2212yes—
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2552C2212yes—
146#2552C2212yes—
147#2552C2211yescharacteristic
148#2551C2212yes—
149#2551C2211yescharacteristic
150#2551C2212yes—
151#2550C2212yes—
152#2550C2212yes—
153#2547C2212yes—
154#2547C2212yes—
155#2538C2211yescharacteristic
156#2538C2212yes—
157#2533C2214yes—
158#2532C2214yes—
159#2532C2214yes—
160#2531C2212yes—
161#2530C2212yes—
162#2529C2212yes—
163#2528C2212yes—
164#2524C2214yes—
165#2520C2214yes—
166#2519C2214yes—
167#2518C2212yes—
168#2517C2212yes—
169#2514C2212yes—
170#2512C2214yes—
171#2512C2212yes—
172#2512C2212yes—
173#2512C2211yescharacteristic
174#2511C2211yescharacteristic
175#2508C2212yes—
176#2508C2214yes—
177#2508C2212yes—
178#2508C2212yes—
179#2508C2212yes—
180#2508C2212yes—
181#2507C2212yes—
182#2507C2212yes—
183#2507C2211yescharacteristic
184#2506C2212yes—
185#2506C2212yes—
186#2506C2212yes—
187#2506C2212yes—
188#2506C2212yes—
189#2506C2211yescharacteristic
190#2500C2211yescharacteristic
191#2499C2212yes—
192#2499C2212yes—
193#2499C2211yescharacteristic
194#2497C2212yes—
195#2497C2212yes—
196#2497C2212yes—
197#2497C2212yes—
198#2496C2212yes—
199#2496C2212yes—
200#2496C2212yes—
201#2496C2212yes—
202#2496C2212yes—
203#2496C2212yes—
204#2496C2212yes—
205#2495C2212yes—
206#2495C2212yes—
207#2495C2211yescharacteristic
208#2494C2212yes—
209#2494C2211yescharacteristic
210#2490C2212yes—
211#2490C2212yes—
212#2490C2211yescharacteristic
213#2489C2211yescharacteristic
214#2489C2212yes—
215#2489C2212yes—
216#2487C2212yes—
217#2485C2211yescharacteristic
218#2485C2212yes—
219#2485C2212yes—
220#2485C2211yescharacteristic
221#2478C2214yes—
222#2475C2214yes—
223#2469C2214yes—
224#2467C2212yes—
225#2462C2214yes—
226#2460C2212yes—
227#2452C2212yes—
228#2452C2212yes—
229#2451C2212yes—
230#2441C2211yescharacteristic
231#2441C2212yes—
232#2441C2212yes—
233#2441C2211yescharacteristic
234#2441C2212yes—
235#2440C2212yes—
236#2440C2212yes—
237#2439C2212yes—
238#2439C2212yes—
239#2439C2212yes—
240#2423C2212yes—
241#2420C2212yes—
242#2417C2212yes—
243#2415C2211yescharacteristic
244#2414C2211yescharacteristic
245#2401C2212yes—
246#2396C2214yes—
247#2395C2212yes—
248#2395C2212yes—
249#2392C2212yes—
250#2370C2212yes—
251#2370C2212yes—
252#2370C2212yes—
253#2370C2212yes—
254#2369C2211yescharacteristic
255#2369C2211yescharacteristic
256#2365C2212yes—
257#2365C2212yes—
258#2362C2212yes—
259#2355C2211yescharacteristic
260#2355C2214yes—
261#2354C2211yescharacteristic
262#2354C2212yes—
263#2354C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2211yescharacteristic
266#2347C2212yes—
267#2346C2212yes—
268#2344C2212yes—
269#2330C2212yes—
270#2324C2212yes—
271#2317C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#125C2212yes—
281C4×#125C2212yes—
282C4×#126C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#556—48no—
300#541—416no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2314yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2314yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362#401C2314yes—
363#401C2312yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#400C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2312yes—
390#399C2314yes—
391#399C2312yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
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#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#392C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#390C2314yes—
514#390C2312yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2314yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2314yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#383C2312yes—
703#383C2314yes—
704#383C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2314yes—
721#381C2314yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2414yes—
815C22×Q8C2414yes—
816C22×D4C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2412yes—
820C23×C4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2414yes—
828C4⋊Q8—24no—
829C4⋊Q8—44no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—48no—
835#126—28no—
836#126—48no—
837#126—48no—
838#126—48no—
839#126—48no—
840#126—48no—
841#125—28no—
842#125—24no—
843#125—28no—
844#125—42no—
845#125—44no—
846#125—44no—
847#125—44no—
848#125—44no—
849#125—48no—
850#125—48no—
851#125—48no—
852#125—48no—
853#124—48no—
854C22⋊Q8—48no—
855C22⋊Q8—48no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—42no—
859C22⋊Q8—42no—
860C22⋊Q8—44no—
861#121—24no—
862#121—42no—
863C4×Q8—216no—
864C4×Q8—24no—
865C4×Q8—48no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×D4—24no—
869C4×D4—24no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—44no—
873C4×D4—42no—
874C4×D4—42no—
875#117—24no—
876#117—44no—
877#117—44no—
878#117—44no—
879#117—44no—
880#117—44no—
881#117—48no—
882#117—44no—
883#117—42no—
884#117—42no—
885#117—42no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C42—24no—
1017C2×C42—24no—
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2512yes—
1137C24C2511yescharacteristic
1138C24C2511yescharacteristic
1139C2×Q8—28no—
1140C2×Q8—22no—
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—42no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—42no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—24no—
1155C2×D4—22no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—24no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2514yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—24no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4H(5,𝔽2)14yes—
1305C4⋊C42−1+414yes—
1306C22⋊C4—24no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C42—28no—
1349C42—28no—
1350C42—22no—
1351C42—28no—
1352C42—24no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—22no—
1363C42—24no—
1364C42—24no—
1365C42—22no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—22no—
1371C42—22no—
1372C42—42no—
1373C42—42no—
1374C42—44no—
1375C42—41no—
1376C42—44no—
1377C42—44no—
1378C42—42no—
1379C42—42no—
1380C42—42no—
1381C42—44no—
1382C42—44no—
1383C422−1+414yes—
1384C23—22no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—22no—
1389C23—22no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—22no—
1396C23—21no—
1397C23—21no—
1398C23—22no—
1399C23—21no—
1400C23—21no—
1401C23—22no—
1402C23—22no—
1403C23—21no—
1404C23—21no—
1405C23C2611yescharacteristic
1406Q8—44no—
1407Q8—88no—
1408Q8—84no—
1409Q8—88no—
1410D4—44no—
1411D4—44no—
1412D4—84no—
1413D4—84no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
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—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—48no—
1506C2×C4—88no—
1507C2×C4C2×H(5,𝔽2)12yes—
1508C2×C4C2×H(5,𝔽2)12yes—
1509C2×C4C2×H(5,𝔽2)12yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4C2×2−1+414yes—
1512C2×C4C2×2−1+412yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4#58512yes—
1516C2×C4#58512yes—
1517C2×C4#58512yes—
1518C22—42no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—42no—
1524C22—42no—
1525C22—41no—
1526C22—41no—
1527C22—42no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—41no—
1536C22—41no—
1537C22—42no—
1538C22—41no—
1539C22C22×H(5,𝔽2)11yescharacteristic
1540C22C22×2−1+411yescharacteristic
1541C22C22×2−1+411yescharacteristic
1542C22C2×#58511yescharacteristic
1543C22C2×#58511yescharacteristic
1544C22C2×#58511yescharacteristic
1545C222−1+611yescharacteristic
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—24no—
1551C4—41no—
1552C4—41no—
1553C4—42no—
1554C4—42no—
1555C4—41no—
1556C4—41no—
1557C4—42no—
1558C4—44no—
1559C4—44no—
1560C4—42no—
1561C4—42no—
1562C4—44no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4—42no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—41no—
1575C4—42no—
1576C4#355514yes—
1577C4#356514yes—
1578C2—81no—
1579C2—81no—
1580C2—82no—
1581C2C2×#356511yescharacteristic
1582C2C2×#355511yescharacteristic
1583C2#6275911yescharacteristic
1584C2#6291511yescharacteristic
1585C2#6293911yescharacteristic
1586C2#6295011yescharacteristic
1587C2#6303911yescharacteristic
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. #59672C2semidirect
2. #59587C2semidirect
3. #59557C2semidirect
4. #59235C2semidirect
5. #59218C2semidirect
6. #58496C2semidirect
7. #57889C2semidirect
8. #53122C2semidirect
9. #53083C2semidirect
10. #53067C2semidirect
11. #53048C2semidirect
12. #52924C2semidirect
13. #42924C2semidirect
14. #42773C2semidirect
16. #42660C2semidirect
17. #42301C2semidirect
18. #39625C2semidirect
19. #39608C2semidirect
20. #39546C2semidirect
21. #39497C2semidirect
22. #39480C2semidirect
23. #39407C2semidirect
24. #39399C2semidirect
25. #39298C2semidirect
26. #37643C2semidirect
27. #37637C2semidirect
28. #37637C2semidirect
29. #37592C2semidirect
30. #36459C2semidirect
31. #36287C2semidirect
32. #36188C2semidirect
33. #34978C2semidirect
35. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#596722
#595872
#595572
#592352
#592182
#584962
#578892
#531222
#530832
#530672
#530482
#529242
#429242
#427732
#427402
#426602
#423012
#396252
#396082
#395462
#394972
#394802
#394072
#393992
#392982
#376432
#376372
#375922
#364592
#362872
#361882
#349782
#347972
#347932