Finite Group Databasebeta

← #8467239

Subgroups — #8467239

Order 512.

4300 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59869C211yesmaximal, characteristic, complemented
2#59219C211yesmaximal, characteristic, complemented
3#59211C211yesmaximal, characteristic, complemented
4#57731C214yesmaximal, complemented
5#55129C214yesmaximal, complemented
6#53634C214yesmaximal, complemented
7#53023C212yesmaximal, complemented
8#52974C212yesmaximal, complemented
9#49896C214yesmaximal, complemented
10#46175C212yesmaximal, complemented
11#45627C212yesmaximal, complemented
12#45272C212yesmaximal, complemented
13#45147C212yesmaximal, complemented
14#42933C212yesmaximal, complemented
15#42905C212yesmaximal, complemented
16#42670C212yesmaximal, complemented
17#42663C212yesmaximal, complemented
18#40213C212yesmaximal, complemented
19#39608C211yesmaximal, characteristic, complemented
20#39607C211yesmaximal, characteristic, complemented
21#39544C212yesmaximal, complemented
22#39479C211yesmaximal, characteristic, complemented
23#39370C211yesmaximal, characteristic, complemented
24#39214C212yesmaximal, complemented
25#39119C212yesmaximal, complemented
26#37642C211yesmaximal, characteristic, complemented
27#37350C212yesmaximal
28#37279C212yesmaximal, complemented
29#36564C211yesmaximal, characteristic, complemented
30#36466C211yesmaximal, characteristic, complemented
31#36210C211yesmaximal, characteristic, complemented
32#35185C211yesmaximal, characteristic, complemented
33#35181C211yesmaximal, characteristic, complemented
34#34941C211yesmaximal, characteristic, complemented
35#34763C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#544C2212yes—
38C2×#529C2212yes—
39#2864C2212yes—
40#2860C2212yes—
41#2859C2212yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2212yes—
45#2857C2211yescharacteristic
46#2851C2212yes—
47#2851C2212yes—
48#2844C2214yes—
49#2843C2214yes—
50#2839C2214yes—
51#2838C2214yes—
52#2837C2214yes—
53#2836C2214yes—
54#2831C2214yes—
55#2814C2214yes—
56#2809C2214yes—
57#2807C2214yes—
58#2798C2214yes—
59#2789C2214yes—
60#2787C2214yes—
61#2785C2214yes—
62#2783C2214yes—
63#2782C2214yes—
64#2779C2214yes—
65#2777C2214yes—
66#2776C2214yes—
67#2775C2214yes—
68#2767C2214yes—
69#2767C2214yes—
70#2765C2214yes—
71#2763C2214yes—
72#2755C2214yes—
73#2754C2214yes—
74#2745C2214yes—
75#2738C2214yes—
76#2731C2214yes—
77#2729C2214yes—
78#2729C2214yes—
79#2729C2214yes—
80#2726C2214yes—
81#2725C2214yes—
82#2723C2214yes—
83#2720C2214yes—
84#2719C2214yes—
85#2719C2214yes—
86#2719C2214yes—
87#2718C2214yes—
88#2716C2214yes—
89#2716C2214yes—
90#2713C2214yes—
91#2711C2214yes—
92#2707C2214yes—
93#2704C2214yes—
94#2704C2214yes—
95#2702C2214yes—
96#2698C2214yes—
97#2698C2214yes—
98#2694C2214yes—
99#2692C2214yes—
100#2687C2214yes—
101#2681C2214yes—
102#2677C2214yes—
103#2677C2214yes—
104#2674C2214yes—
105#2666C2214yes—
106#2666C2214yes—
107#2655C2214yes—
108#2655C2214yes—
109#2650C2214yes—
110#2650C2214yes—
111#2646C2214yes—
112#2629C2212yes—
113#2629C2212yes—
114#2628C2212yes—
115#2628C2214yes—
116#2628C2212yes—
117#2628C2212yes—
118#2628C2212yes—
119#2628C2212yes—
120#2624C2212yes—
121#2596C2214yes—
122#2586C2214yes—
123#2584C2214yes—
124#2584C2212yes—
125#2575C2214yes—
126#2574C2212yes—
127#2574C2212yes—
128#2571C2212yes—
129#2571C2211yescharacteristic
130#2571C2212yes—
131#2571C2211yescharacteristic
132#2571C2211yescharacteristic
133#2571C2212yes—
134#2570C2212yes—
135#2570C2212yes—
136#2570C2212yes—
137#2570C2214yes—
138#2568C2214yes—
139#2567C2211yescharacteristic
140#2567C2211yescharacteristic
141#2563C2211yescharacteristic
142#2563C2212yes—
143#2563C2211yescharacteristic
144#2562C2212yes—
145#2562C2212yes—
146#2558C2214yes—
147#2556C2214yes—
148#2553C2214yes—
149#2552C2212yes—
150#2552C2211yescharacteristic
151#2552C2212yes—
152#2552C2212yes—
153#2552C2211yescharacteristic
154#2552C2211yescharacteristic
155#2551C2212yes—
156#2551C2212yes—
157#2551C2211yescharacteristic
158#2551C2211yescharacteristic
159#2551C2212yes—
160#2551C2214yes—
161#2550C2212yes—
162#2550C2214yes—
163#2549C2214yes—
164#2546C2212yes—
165#2546C2212yes—
166#2546C2212yes—
167#2538C2211yescharacteristic
168#2538C2212yes—
169#2538C2211yescharacteristic
170#2536C2212yes—
171#2536C2212yes—
172#2525C2214yes—
173#2521C2212yes—
174#2519C2214yes—
175#2519C2212yes—
176#2519C2214yes—
177#2514C2212yes—
178#2513C2212yes—
179#2513C2212yes—
180#2512C2211yescharacteristic
181#2512C2212yes—
182#2509C2212yes—
183#2509C2212yes—
184#2509C2212yes—
185#2508C2212yes—
186#2508C2212yes—
187#2508C2212yes—
188#2508C2212yes—
189#2508C2212yes—
190#2508C2212yes—
191#2507C2212yes—
192#2507C2212yes—
193#2507C2212yes—
194#2507C2212yes—
195#2506C2212yes—
196#2506C2211yescharacteristic
197#2506C2212yes—
198#2501C2211yescharacteristic
199#2500C2212yes—
200#2497C2211yescharacteristic
201#2497C2211yescharacteristic
202#2497C2212yes—
203#2497C2212yes—
204#2497C2212yes—
205#2496C2212yes—
206#2496C2212yes—
207#2496C2211yescharacteristic
208#2495C2212yes—
209#2495C2212yes—
210#2494C2212yes—
211#2494C2212yes—
212#2494C2212yes—
213#2494C2212yes—
214#2491C2211yescharacteristic
215#2488C2212yes—
216#2487C2212yes—
217#2486C2212yes—
218#2486C2211yescharacteristic
219#2485C2212yes—
220#2485C2212yes—
221#2485C2212yes—
222#2470C2214yes—
223#2469C2214yes—
224#2469C2214yes—
225#2462C2214yes—
226#2458C2214yes—
227#2454C2212yes—
228#2453C2212yes—
229#2452C2212yes—
230#2452C2212yes—
231#2451C2212yes—
232#2442C2212yes—
233#2441C2212yes—
234#2440C2212yes—
235#2440C2211yescharacteristic
236#2440C2212yes—
237#2439C2212yes—
238#2429C2214yes—
239#2425C2212yes—
240#2423C2211yescharacteristic
241#2423C2211yescharacteristic
242#2422C2212yes—
243#2421C2212yes—
244#2421C2212yes—
245#2416C2211yescharacteristic
246#2415C2212yes—
247#2396C2212yes—
248#2396C2212yes—
249#2396C2212yes—
250#2395C2212yes—
251#2382C2214yes—
252#2370C2212yes—
253#2369C2212yes—
254#2369C2211yescharacteristic
255#2369C2211yescharacteristic
256#2362C2212yes—
257#2362C2212yes—
258#2360C2212yes—
259#2357C2212yes—
260#2355C2212yes—
261#2355C2212yes—
262#2354C2211yescharacteristic
263#2351C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265Q8×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2211yescharacteristic
267#2347C2212yes—
268#2347C2212yes—
269#2345C2212yes—
270#2334C2214yes—
271#2324C2212yes—
272#2323C2212yes—
273#2323C2212yes—
274#2317C2212yes—
275#2317C2212yes—
276#2314C2212yes—
277#2314C2212yes—
278C4×C4⋊Q8C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×#125C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#123C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—48no—
300#544—48no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2314yes—
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2312yes—
373#401C2314yes—
374#401C2314yes—
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#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2312yes—
405#399C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2312yes—
409#399C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#396C2312yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#395C2312yes—
469#395C2312yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#393C2312yes—
491#393C2312yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
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#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2314yes—
693#384C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2311yescharacteristic
702#383C2314yes—
703#383C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2314yes—
724#381C2312yes—
725#381C2314yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C2×#95C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2412yes—
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2412yes—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—42no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—48no—
841C4⋊Q8—48no—
842C4⋊Q8—84no—
843C4⋊Q8—84no—
844#126—48no—
845#126—44no—
846#126—44no—
847#126—84no—
848#125—28no—
849#125—44no—
850#125—44no—
851#125—48no—
852#125—44no—
853#125—48no—
854#125—44no—
855#125—48no—
856#125—48no—
857#124—44no—
858#123—44no—
859#123—44no—
860#123—44no—
861#123—84no—
862C22⋊Q8—24no—
863C22⋊Q8—28no—
864C22⋊Q8—24no—
865C22⋊Q8—48no—
866C22⋊Q8—44no—
867C22⋊Q8—48no—
868C22⋊Q8—44no—
869C22⋊Q8—82no—
870C22⋊Q8—84no—
871C22⋊Q8—84no—
872#121—24no—
873#121—44no—
874#121—42no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—44no—
880C4×Q8—48no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—82no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—42no—
891#117—28no—
892#117—28no—
893#117—44no—
894#117—44no—
895#117—44no—
896#117—44no—
897#117—82no—
898C2×C4⋊C4—24no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C42—24no—
1033C2×C42—24no—
1034C2×C42—44no—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147C24C2512yes—
1148C24C2511yescharacteristic
1149C24C2511yescharacteristic
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—44no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q82−1+414yes—
1168C2×D4—22no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—41no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
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—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C42−1+414yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C22⋊C4—28no—
1334C22⋊C4—22no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—22no—
1346C22⋊C4—24no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—41no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—28no—
1384C42—22no—
1385C42—24no—
1386C42—24no—
1387C42—22no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—22no—
1392C42—42no—
1393C42—42no—
1394C42—44no—
1395C42—44no—
1396C42—41no—
1397C42—44no—
1398C42—44no—
1399C42—41no—
1400C42—44no—
1401C42—42no—
1402C42—44no—
1403C42—44no—
1404C42—42no—
1405C42H(5,𝔽2)14yes—
1406C422−1+414yes—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23—22no—
1416C23—21no—
1417C23—21no—
1418C23—22no—
1419C23—22no—
1420C23—21no—
1421C23—22no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23—21no—
1427C23C2×2−1+412yes—
1428C23C2611yescharacteristic
1429Q8—28no—
1430Q8—84no—
1431Q8—84no—
1432Q8—84no—
1433Q8—88no—
1434Q8—164no—
1435D4—44no—
1436D4—44no—
1437D4—84no—
1438D4—84no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—28no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—48no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—82no—
1530C2×C4—84no—
1531C2×C4—84no—
1532C2×C4—164no—
1533C2×C4C2×H(5,𝔽2)12yes—
1534C2×C4C2×H(5,𝔽2)12yes—
1535C2×C4C2×H(5,𝔽2)12yes—
1536C2×C4C2×2−1+412yes—
1537C2×C4C2×2−1+412yes—
1538C2×C4C2×2−1+414yes—
1539C2×C4C2×2−1+412yes—
1540C2×C4C2×2−1+412yes—
1541C2×C4C2×2−1+412yes—
1542C2×C4C2×2−1+412yes—
1543C2×C4#58512yes—
1544C2×C4#58512yes—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—42no—
1554C22—42no—
1555C22—41no—
1556C22—42no—
1557C22—41no—
1558C22—41no—
1559C22—42no—
1560C22—42no—
1561C22—41no—
1562C22—41no—
1563C22—42no—
1564C22—41no—
1565C22—42no—
1566C22C22×H(5,𝔽2)11yescharacteristic
1567C22C22×2−1+411yescharacteristic
1568C22C22×2−1+411yescharacteristic
1569C22C22×2−1+411yescharacteristic
1570C22C2×#58511yescharacteristic
1571C22C2×#58511yescharacteristic
1572C22H(7,𝔽2)11yescharacteristic
1573C4—22no—
1574C4—24no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—41no—
1583C4—42no—
1584C4—41no—
1585C4—42no—
1586C4—42no—
1587C4—44no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—44no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—41no—
1599C4—44no—
1600C4—42no—
1601C4—41no—
1602C4—44no—
1603C4#355214yes—
1604C4#356314yes—
1605C2—42no—
1606C2—81no—
1607C2—82no—
1608C2C2×#356311yescharacteristic
1609C2C2×#355211yescharacteristic
1610C2#6283511yescharacteristic
1611C2#6293011yescharacteristic
1612C2#6294311yescharacteristic
1613C2#6295811yescharacteristic
1614C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2416C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59869C2semidirect
2. #59219C2semidirect
3. #59211C2semidirect
4. #57731C2semidirect
5. #55129C2semidirect
6. #53634C2semidirect
7. #53023C2semidirect
8. #52974C2semidirect
9. #49896C2semidirect
10. #46175C2semidirect
11. #45627C2semidirect
12. #45272C2semidirect
13. #45147C2semidirect
14. #42933C2semidirect
15. #42905C2semidirect
16. #42670C2semidirect
17. #42663C2semidirect
18. #40213C2semidirect
19. #39608C2semidirect
20. #39607C2semidirect
21. #39544C2semidirect
22. #39479C2semidirect
23. #39370C2semidirect
24. #39214C2semidirect
25. #39119C2semidirect
26. #37642C2semidirect
28. #37279C2semidirect
29. #36564C2semidirect
30. #36466C2semidirect
31. #36210C2semidirect
32. #35185C2semidirect
33. #35181C2semidirect
34. #34941C2semidirect

Maximal subgroups

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

subgroupindex
#598692
#592192
#592112
#577312
#551292
#536342
#530232
#529742
#498962
#461752
#456272
#452722
#451472
#429332
#429052
#426702
#426632
#402132
#396082
#396072
#395442
#394792
#393702
#392142
#391192
#376422
#373502
#372792
#365642
#364662
#362102
#351852
#351812
#349412
#347632