Finite Group Databasebeta

← #8429460

Subgroups — #8429460

Order 512.

4384 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59828C211yesmaximal, characteristic, complemented
2#59658C212yesmaximal, complemented
3#59429C212yesmaximal, complemented
4#59304C211yesmaximal, characteristic, complemented
5#59217C211yesmaximal, characteristic, complemented
6#57051C214yesmaximal, complemented
7#55885C214yesmaximal, complemented
8#53148C212yesmaximal, complemented
9#53127C212yesmaximal, complemented
10#53094C212yesmaximal, complemented
11#53081C212yesmaximal, complemented
12#52579C214yesmaximal, complemented
13#42928C212yesmaximal, complemented
14#42891C212yesmaximal, complemented
15#42515C212yesmaximal, complemented
16#42507C212yesmaximal, complemented
17#40911C214yesmaximal, complemented
18#39652C212yesmaximal, complemented
19#39240C212yesmaximal, complemented
20#39081C212yesmaximal, complemented
21#39076C212yesmaximal, complemented
22#38964C211yesmaximal, characteristic, complemented
23#38964C211yesmaximal, characteristic, complemented
24#38940C211yesmaximal, characteristic, complemented
25#38930C211yesmaximal, characteristic, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37623C211yesmaximal, characteristic, complemented
28#37593C212yesmaximal, complemented
29#37592C212yesmaximal, complemented
30#36473C211yesmaximal, characteristic, complemented
31#36449C211yesmaximal, characteristic, complemented
32#36189C211yesmaximal, characteristic, complemented
33#34978C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34800C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#556C2212yes—
38C2×#553C2212yes—
39#2863C2212yes—
40#2860C2212yes—
41#2859C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2843C2214yes—
45#2839C2214yes—
46#2837C2214yes—
47#2837C2214yes—
48#2836C2214yes—
49#2832C2214yes—
50#2832C2214yes—
51#2831C2214yes—
52#2831C2214yes—
53#2827C2214yes—
54#2824C2214yes—
55#2823C2214yes—
56#2820C2214yes—
57#2816C2214yes—
58#2799C2214yes—
59#2794C2214yes—
60#2790C2214yes—
61#2788C2214yes—
62#2788C2214yes—
63#2781C2214yes—
64#2781C2214yes—
65#2775C2214yes—
66#2767C2214yes—
67#2763C2214yes—
68#2763C2214yes—
69#2754C2214yes—
70#2751C2214yes—
71#2744C2214yes—
72#2743C2214yes—
73#2742C2214yes—
74#2741C2214yes—
75#2738C2214yes—
76#2738C2214yes—
77#2737C2214yes—
78#2726C2214yes—
79#2721C2214yes—
80#2721C2214yes—
81#2720C2214yes—
82#2720C2214yes—
83#2718C2214yes—
84#2716C2214yes—
85#2716C2214yes—
86#2716C2214yes—
87#2711C2214yes—
88#2701C2214yes—
89#2695C2214yes—
90#2692C2214yes—
91#2691C2214yes—
92#2687C2214yes—
93#2676C2214yes—
94#2672C2214yes—
95#2666C2214yes—
96#2663C2214yes—
97#2660C2212yes—
98#2660C2212yes—
99#2652C2214yes—
100#2651C2214yes—
101#2651C2214yes—
102#2650C2214yes—
103#2647C2212yes—
104#2647C2212yes—
105#2647C2212yes—
106#2640C2212yes—
107#2637C2214yes—
108#2636C2214yes—
109#2634C2214yes—
110#2632C2214yes—
111#2629C2212yes—
112#2628C2212yes—
113#2628C2212yes—
114#2627C2214yes—
115#2625C2212yes—
116#2624C2212yes—
117#2620C2212yes—
118#2612C2214yes—
119#2604C2214yes—
120#2582C2212yes—
121#2581C2214yes—
122#2580C2212yes—
123#2580C2212yes—
124#2578C2214yes—
125#2575C2214yes—
126#2571C2211yescharacteristic
127#2571C2211yescharacteristic
128#2570C2214yes—
129#2570C2212yes—
130#2567C2212yes—
131#2567C2212yes—
132#2563C2212yes—
133#2562C2212yes—
134#2558C2214yes—
135#2552C2211yescharacteristic
136#2552C2211yescharacteristic
137#2552C2211yescharacteristic
138#2551C2211yescharacteristic
139#2551C2211yescharacteristic
140#2547C2211yescharacteristic
141#2546C2212yes—
142#2542C2211yescharacteristic
143#2538C2214yes—
144#2537C2212yes—
145#2537C2211yescharacteristic
146#2536C2212yes—
147#2532C2212yes—
148#2532C2212yes—
149#2530C2214yes—
150#2526C2212yes—
151#2526C2212yes—
152#2524C2214yes—
153#2521C2214yes—
154#2519C2214yes—
155#2518C2212yes—
156#2518C2212yes—
157#2515C2214yes—
158#2513C2211yescharacteristic
159#2513C2211yescharacteristic
160#2511C2212yes—
161#2508C2212yes—
162#2508C2212yes—
163#2508C2211yescharacteristic
164#2508C2211yescharacteristic
165#2507C2212yes—
166#2506C2212yes—
167#2506C2212yes—
168#2503C2212yes—
169#2501C2212yes—
170#2500C2211yescharacteristic
171#2500C2211yescharacteristic
172#2497C2212yes—
173#2497C2212yes—
174#2497C2211yescharacteristic
175#2497C2212yes—
176#2497C2212yes—
177#2497C2211yescharacteristic
178#2496C2212yes—
179#2496C2212yes—
180#2495C2212yes—
181#2495C2212yes—
182#2492C2212yes—
183#2492C2212yes—
184#2491C2211yescharacteristic
185#2491C2214yes—
186#2491C2212yes—
187#2491C2211yescharacteristic
188#2490C2212yes—
189#2490C2212yes—
190#2487C2212yes—
191#2487C2212yes—
192#2485C2211yescharacteristic
193#2485C2212yes—
194#2485C2212yes—
195#2485C2212yes—
196#2485C2211yescharacteristic
197#2476C2214yes—
198#2465C2214yes—
199#2465C2214yes—
200#2460C2214yes—
201#2459C2212yes—
202#2459C2212yes—
203#2458C2214yes—
204#2458C2214yes—
205#2453C2212yes—
206#2453C2212yes—
207#2452C2212yes—
208#2452C2212yes—
209#2446C2214yes—
210#2443C2214yes—
211#2442C2212yes—
212#2442C2212yes—
213#2442C2212yes—
214#2441C2212yes—
215#2441C2212yes—
216#2441C2212yes—
217#2441C2212yes—
218#2440C2212yes—
219#2440C2212yes—
220#2440C2212yes—
221#2440C2212yes—
222#2439C2212yes—
223#2439C2212yes—
224#2439C2212yes—
225#2439C2211yescharacteristic
226#2439C2212yes—
227#2439C2212yes—
228#2439C2211yescharacteristic
229#2427C2212yes—
230#2426C2212yes—
231#2426C2212yes—
232#2423C2212yes—
233#2423C2214yes—
234#2423C2212yes—
235#2422C2212yes—
236#2421C2212yes—
237#2421C2212yes—
238#2420C2212yes—
239#2417C2212yes—
240#2417C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2415C2212yes—
244#2414C2211yescharacteristic
245#2414C2211yescharacteristic
246#2398C2212yes—
247#2398C2212yes—
248#2396C2214yes—
249#2392C2212yes—
250#2392C2212yes—
251#2367C2214yes—
252#2365C2211yescharacteristic
253#2365C2211yescharacteristic
254#2363C2212yes—
255#2362C2212yes—
256#2360C2212yes—
257#2354C2211yescharacteristic
258#2354C2211yescharacteristic
259#2352C2212yes—
260#2352C2212yes—
261Q8×C4⋊C4C2212yes—
262D4×C4⋊C4C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2211yescharacteristic
265#2345C2212yes—
266#2345C2212yes—
267#2345C2212yes—
268#2337C2214yes—
269#2320C2212yes—
270#2319C2212yes—
271#2317C2212yes—
272#2317C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2212yes—
279C4×#125C2212yes—
280C4×#125C2212yes—
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288#2298C2212yes—
289#2298C2212yes—
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293C2×#384C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#557—48no—
300#556—48no—
301#553—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
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#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
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#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2312yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2312yes—
507#393C2312yes—
508#392C2312yes—
509#392C2312yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#390C2314yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2314yes—
700#384C2314yes—
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#383C2314yes—
708#383C2314yes—
709#383C2312yes—
710#383C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2314yes—
721#382C2311yescharacteristic
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2414yes—
817C22×Q8C2414yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—42no—
843C4⋊Q8—44no—
844C4⋊Q8—48no—
845#126—48no—
846#126—48no—
847#126—48no—
848#125—28no—
849#125—44no—
850#125—44no—
851#125—48no—
852#125—48no—
853#125—82no—
854#124—28no—
855#124—28no—
856#124—48no—
857#124—44no—
858#123—48no—
859#123—84no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—84no—
865C22⋊Q8—84no—
866C22⋊Q8—84no—
867#121—24no—
868#121—48no—
869#121—42no—
870#121—44no—
871#121—42no—
872#121—42no—
873#121—44no—
874#121—84no—
875C4×Q8—28no—
876C4×Q8—44no—
877C4×Q8—48no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—48no—
881C4×Q8—44no—
882C4×Q8—84no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—44no—
887C4×D4—48no—
888C4×D4—44no—
889C4×D4—42no—
890C4×D4—42no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895#117—28no—
896#117—24no—
897#117—44no—
898#117—44no—
899#117—42no—
900#117—44no—
901#117—42no—
902#117—42no—
903#117—82no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—82no—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C42—24no—
1040C2×C42—24no—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
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#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24C2511yescharacteristic
1151C24C2512yes—
1152C24C2512yes—
1153C24C2511yescharacteristic
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—42no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×D4—22no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—42no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2514yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—22no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
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—44no—
1330C4⋊C4—42no—
1331C4⋊C4H(5,𝔽2)14yes—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—22no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C42−1+414yes—
1387C42—28no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—28no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—24no—
1401C42—24no—
1402C42—22no—
1403C42—22no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—22no—
1409C42—42no—
1410C42—42no—
1411C42—44no—
1412C42—42no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—42no—
1417C42—42no—
1418C42—41no—
1419C422−1+414yes—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—21no—
1434C23—21no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—21no—
1447C23C2×2−1+412yes—
1448C23C2611yescharacteristic
1449Q8—48no—
1450Q8—48no—
1451Q8—84no—
1452Q8—88no—
1453Q8—88no—
1454D4—48no—
1455D4—44no—
1456D4—44no—
1457D4—44no—
1458D4—84no—
1459D4—84no—
1460D4—84no—
1461D4—164no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—48no—
1553C2×C4—164no—
1554C2×C4—164no—
1555C2×C4—164no—
1556C2×C4C2×H(5,𝔽2)14yes—
1557C2×C4C2×H(5,𝔽2)12yes—
1558C2×C4C2×2−1+412yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4C2×2−1+412yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4C2×2−1+412yes—
1563C2×C4#58512yes—
1564C2×C4#58512yes—
1565C2×C4#58512yes—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—42no—
1574C22—41no—
1575C22—42no—
1576C22—41no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—41no—
1582C22—41no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—41no—
1587C22—42no—
1588C22—42no—
1589C22—41no—
1590C22—42no—
1591C22—41no—
1592C22—42no—
1593C22—42no—
1594C22C22×H(5,𝔽2)11yescharacteristic
1595C22C22×2−1+411yescharacteristic
1596C22C22×2−1+411yescharacteristic
1597C22C2×#58511yescharacteristic
1598C22C2×#58511yescharacteristic
1599C22C2×#58511yescharacteristic
1600C22H(7,𝔽2)11yescharacteristic
1601C4—24no—
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—41no—
1606C4—41no—
1607C4—42no—
1608C4—42no—
1609C4—41no—
1610C4—41no—
1611C4—44no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—41no—
1618C4—41no—
1619C4—42no—
1620C4—44no—
1621C4—44no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—42no—
1626C4—44no—
1627C4—42no—
1628C4—42no—
1629C4—41no—
1630C4#354714yes—
1631C4#356514yes—
1632C2—42no—
1633C2—81no—
1634C2—82no—
1635C2—82no—
1636C2C2×#356511yescharacteristic
1637C2C2×#354711yescharacteristic
1638C2#6276111yescharacteristic
1639C2#6292311yescharacteristic
1640C2#6293811yescharacteristic
1641C2#6294511yescharacteristic
1642C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59828C2semidirect
2. #59658C2semidirect
3. #59429C2semidirect
4. #59304C2semidirect
5. #59217C2semidirect
6. #57051C2semidirect
7. #55885C2semidirect
8. #53148C2semidirect
9. #53127C2semidirect
10. #53094C2semidirect
11. #53081C2semidirect
12. #52579C2semidirect
13. #42928C2semidirect
14. #42891C2semidirect
15. #42515C2semidirect
16. #42507C2semidirect
17. #40911C2semidirect
18. #39652C2semidirect
19. #39240C2semidirect
20. #39081C2semidirect
21. #39076C2semidirect
22. #38964C2semidirect
23. #38964C2semidirect
24. #38940C2semidirect
25. #38930C2semidirect
26. #37627C2semidirect
27. #37623C2semidirect
28. #37593C2semidirect
29. #37592C2semidirect
30. #36473C2semidirect
31. #36449C2semidirect
32. #36189C2semidirect
33. #34978C2semidirect
34. #34800C2semidirect
35. #34800C2semidirect

Maximal subgroups

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

subgroupindex
#598282
#596582
#594292
#593042
#592172
#570512
#558852
#531482
#531272
#530942
#530812
#525792
#429282
#428912
#425152
#425072
#409112
#396522
#392402
#390812
#390762
#389642
#389402
#389302
#376272
#376232
#375932
#375922
#364732
#364492
#361892
#349782
#348002