Finite Group Databasebeta

← #8425234

Subgroups — #8425234

Order 512.

4661 conjugacy classes of subgroups.

The subgroup lattice has 1655 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic
2#59647C211yesmaximal, characteristic, complemented
3#59646C211yesmaximal, characteristic, complemented
4#59563C212yesmaximal, complemented
5#59119C212yesmaximal, complemented
6#58660C214yesmaximal, complemented
7#53985C214yesmaximal, complemented
8#53120C212yesmaximal, complemented
9#53112C212yesmaximal, complemented
10#53049C212yesmaximal, complemented
11#52995C212yesmaximal, complemented
12#52355C214yesmaximal, complemented
13#42965C212yesmaximal, complemented
14#42783C212yesmaximal, complemented
15#42699C212yesmaximal, complemented
16#42582C212yesmaximal, complemented
17#40526C214yesmaximal, complemented
18#39761C211yesmaximal, characteristic, complemented
19#39400C212yesmaximal, complemented
20#39397C212yesmaximal, complemented
21#39369C211yesmaximal, characteristic, complemented
22#39180C211yesmaximal, characteristic, complemented
23#38975C211yesmaximal, characteristic, complemented
24#38238C212yesmaximal, complemented
25#37759C212yesmaximal, complemented
26#37629C212yesmaximal, complemented
27#37629C211yesmaximal, characteristic, complemented
28#37625C211yesmaximal, characteristic, complemented
29#37511C212yesmaximal, complemented
30#36559C211yesmaximal, characteristic, complemented
31#36407C211yesmaximal, characteristic, complemented
32#36312C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34920C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2212yes—
38C2×#544C2212yes—
39C2×#539C2214yes—
40C2×#529C2212yes—
41#2868C2211yescharacteristic
42#2860C2212yes—
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2857C2212yes—
46#2837C2214yes—
47#2837C2214yes—
48#2831C2214yes—
49#2830C2214yes—
50#2830C2214yes—
51#2830C2214yes—
52#2829C2214yes—
53#2829C2214yes—
54#2827C2214yes—
55#2826C2214yes—
56#2824C2214yes—
57#2820C2214yes—
58#2816C2214yes—
59#2814C2214yes—
60#2808C2214yes—
61#2803C2214yes—
62#2800C2214yes—
63#2797C2214yes—
64#2793C2214yes—
65#2786C2214yes—
66#2772C2214yes—
67#2761C2214yes—
68#2755C2214yes—
69#2747C2214yes—
70#2739C2214yes—
71#2733C2214yes—
72#2726C2214yes—
73#2723C2214yes—
74#2720C2214yes—
75#2717C2214yes—
76#2716C2214yes—
77#2716C2214yes—
78#2711C2214yes—
79#2708C2214yes—
80#2707C2214yes—
81#2707C2214yes—
82#2705C2214yes—
83#2704C2214yes—
84#2702C2214yes—
85#2701C2214yes—
86#2700C2214yes—
87#2700C2214yes—
88#2696C2214yes—
89#2696C2214yes—
90#2695C2214yes—
91#2692C2214yes—
92#2690C2214yes—
93#2687C2214yes—
94#2681C2214yes—
95#2681C2214yes—
96#2677C2214yes—
97#2663C2214yes—
98#2651C2214yes—
99#2650C2214yes—
100#2647C2212yes—
101#2644C2214yes—
102#2644C2212yes—
103#2644C2212yes—
104#2644C2212yes—
105#2644C2212yes—
106#2641C2212yes—
107#2640C2212yes—
108#2640C2212yes—
109#2640C2212yes—
110#2640C2214yes—
111#2638C2214yes—
112#2638C2214yes—
113#2638C2214yes—
114#2636C2214yes—
115#2630C2214yes—
116#2628C2212yes—
117#2624C2212yes—
118#2621C2214yes—
119#2620C2212yes—
120#2611C2214yes—
121#2602C2214yes—
122#2600C2214yes—
123#2597C2212yes—
124#2595C2212yes—
125#2592C2211yescharacteristic
126#2590C2212yes—
127#2588C2212yes—
128#2584C2212yes—
129#2584C2211yescharacteristic
130#2582C2212yes—
131#2582C2211yescharacteristic
132#2581C2211yescharacteristic
133#2580C2211yescharacteristic
134#2575C2214yes—
135#2574C2214yes—
136#2570C2211yescharacteristic
137#2566C2212yes—
138#2566C2212yes—
139#2565C2211yescharacteristic
140#2563C2212yes—
141#2560C2214yes—
142#2556C2214yes—
143#2554C2214yes—
144#2552C2211yescharacteristic
145#2552C2212yes—
146#2552C2211yescharacteristic
147#2551C2211yescharacteristic
148#2551C2212yes—
149#2550C2212yes—
150#2550C2211yescharacteristic
151#2548C2212yes—
152#2548C2212yes—
153#2548C2211yescharacteristic
154#2548C2212yes—
155#2548C2211yescharacteristic
156#2544C2211yescharacteristic
157#2544C2212yes—
158#2542C2212yes—
159#2541C2212yes—
160#2541C2211yescharacteristic
161#2541C2211yescharacteristic
162#2538C2212yes—
163#2538C2211yescharacteristic
164#2538C2211yescharacteristic
165#2538C2212yes—
166#2537C2212yes—
167#2530C2214yes—
168#2529C2214yes—
169#2521C2214yes—
170#2520C2212yes—
171#2519C2214yes—
172#2516C2212yes—
173#2513C2212yes—
174#2513C2212yes—
175#2513C2211yescharacteristic
176#2512C2212yes—
177#2512C2212yes—
178#2511C2212yes—
179#2511C2211yescharacteristic
180#2508C2212yes—
181#2508C2211yescharacteristic
182#2507C2212yes—
183#2506C2212yes—
184#2506C2211yescharacteristic
185#2506C2212yes—
186#2504C2212yes—
187#2500C2212yes—
188#2499C2212yes—
189#2496C2212yes—
190#2496C2212yes—
191#2492C2212yes—
192#2490C2212yes—
193#2490C2212yes—
194#2490C2212yes—
195#2486C2212yes—
196#2485C2212yes—
197#2478C2214yes—
198#2475C2214yes—
199#2474C2214yes—
200#2473C2214yes—
201#2466C2214yes—
202#2463C2214yes—
203#2462C2212yes—
204#2458C2212yes—
205#2454C2212yes—
206#2454C2212yes—
207#2453C2212yes—
208#2453C2211yescharacteristic
209#2452C2212yes—
210#2452C2212yes—
211#2452C2212yes—
212#2452C2212yes—
213#2452C2214yes—
214#2452C2212yes—
215#2452C2212yes—
216#2452C2212yes—
217#2452C2212yes—
218#2451C2211yescharacteristic
219#2448C2212yes—
220#2447C2212yes—
221#2447C2212yes—
222#2447C2211yescharacteristic
223#2447C2214yes—
224#2447C2212yes—
225#2445C2212yes—
226#2445C2212yes—
227#2445C2211yescharacteristic
228#2445C2212yes—
229#2445C2212yes—
230#2443C2214yes—
231#2441C2212yes—
232#2441C2212yes—
233#2440C2212yes—
234#2439C2212yes—
235#2439C2212yes—
236#2427C2212yes—
237#2426C2212yes—
238#2423C2212yes—
239#2422C2212yes—
240#2422C2212yes—
241#2420C2212yes—
242#2417C2212yes—
243#2415C2212yes—
244#2415C2214yes—
245#2414C2212yes—
246#2414C2214yes—
247#2414C2212yes—
248#2402C2212yes—
249#2399C2212yes—
250#2398C2212yes—
251#2395C2212yes—
252#2392C2214yes—
253#2370C2212yes—
254#2369C2212yes—
255#2367C2212yes—
256#2366C2212yes—
257#2363C2212yes—
258#2362C2212yes—
259#2361C2212yes—
260#2355C2211yescharacteristic
261#2354C2211yescharacteristic
262#2354C2211yescharacteristic
263#2354C2212yes—
264#2354C2211yescharacteristic
265Q8×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2212yes—
268D4×C4⋊C4C2212yes—
269#2346C2212yes—
270#2344C2214yes—
271#2331C2212yes—
272#2330C2212yes—
273#2319C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2212yes—
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2212yes—
282C4×#125C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#123C2212yes—
286C4×#121C2212yes—
287#2296C2212yes—
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2295C2212yes—
292#2295C2212yes—
293#2293C2212yes—
294#2293C2211yescharacteristic
295#2290C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#555—48no—
300#554—48no—
301#544—48no—
302#539—416no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314#529—48no—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2314yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2312yes—
390C22×C42C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2312yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#395C2312yes—
483#395C2312yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2312yes—
520#393C2312yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2314yes—
530#391C2314yes—
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2314yes—
538#391C2314yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#391C2312yes—
543#391C2311yescharacteristic
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2312yes—
628#389C2311yescharacteristic
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2314yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#382C2314yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2312yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2414yes—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C4⋊Q8—24no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—48no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847#127—24no—
848#127—42no—
849#127—44no—
850#127—44no—
851#126—48no—
852#126—48no—
853#126—48no—
854#125—28no—
855#125—28no—
856#125—24no—
857#125—42no—
858#125—44no—
859#125—48no—
860#125—44no—
861#125—44no—
862#125—48no—
863#124—42no—
864#124—44no—
865#124—42no—
866#124—44no—
867#124—48no—
868#124—48no—
869#123—28no—
870#123—48no—
871#123—48no—
872#123—48no—
873#123—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—48no—
884#121—28no—
885#121—48no—
886#121—44no—
887#121—44no—
888#121—48no—
889#121—44no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—42no—
895C4×Q8—42no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—42no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—48no—
918#117—28no—
919#117—44no—
920#117—48no—
921#117—48no—
922#117—44no—
923#117—44no—
924C2×C4⋊C4—216no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C42—44no—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2512yes—
1167C24C2514yes—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—41no—
1177C2×Q8—41no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×D4—24no—
1187C2×D4—28no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2514yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—28no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4H(5,𝔽2)14yes—
1352C4⋊C4H(5,𝔽2)14yes—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C42—22no—
1406C42—24no—
1407C42—28no—
1408C42—24no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—22no—
1429C42—42no—
1430C42—42no—
1431C42—41no—
1432C42—41no—
1433C42—41no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—42no—
1440C422−1+414yes—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—24no—
1445C23—24no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—24no—
1450C23—24no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—24no—
1455C23—22no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23—24no—
1460C23—22no—
1461C23—22no—
1462C23C2611yescharacteristic
1463Q8—44no—
1464Q8—44no—
1465Q8—44no—
1466Q8—84no—
1467Q8—164no—
1468Q8—164no—
1469D4—48no—
1470D4—48no—
1471D4—44no—
1472D4—44no—
1473D4—48no—
1474D4—84no—
1475D4—88no—
1476D4—88no—
1477D4—88no—
1478D4—84no—
1479D4—164no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—48no—
1566C2×C4—48no—
1567C2×C4—88no—
1568C2×C4—84no—
1569C2×C4—88no—
1570C2×C4—88no—
1571C2×C4—84no—
1572C2×C4—164no—
1573C2×C4C2×H(5,𝔽2)14yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×H(5,𝔽2)12yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4C2×2−1+412yes—
1580C2×C4C2×2−1+412yes—
1581C2×C4#58512yes—
1582C2×C4#58512yes—
1583C2×C4#58512yes—
1584C22—42no—
1585C22—42no—
1586C22—44no—
1587C22—42no—
1588C22—42no—
1589C22—44no—
1590C22—44no—
1591C22—42no—
1592C22—42no—
1593C22—44no—
1594C22—42no—
1595C22—42no—
1596C22—44no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—44no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—44no—
1605C22C22×H(5,𝔽2)11yescharacteristic
1606C22C22×H(5,𝔽2)11yescharacteristic
1607C22C22×2−1+411yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22C2×#58511yescharacteristic
1611C222−1+611yescharacteristic
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—22no—
1616C4—24no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—44no—
1622C4—44no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—44no—
1627C4—42no—
1628C4—42no—
1629C4—41no—
1630C4—41no—
1631C4—42no—
1632C4—42no—
1633C4—41no—
1634C4—42no—
1635C4—41no—
1636C4—42no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4—41no—
1642C4#355414yes—
1643C4#356514yes—
1644C2—82no—
1645C2—82no—
1646C2—84no—
1647C2C2×#356511yescharacteristic
1648C2C2×#355411yescharacteristic
1649C2#6275911yescharacteristic
1650C2#6291311yescharacteristic
1651C2#6292111yescharacteristic
1652C2#6296711yescharacteristic
1653C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59822C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59647C2semidirect
3. #59646C2semidirect
4. #59563C2semidirect
5. #59119C2semidirect
6. #58660C2semidirect
7. #53985C2semidirect
8. #53120C2semidirect
9. #53112C2semidirect
10. #53049C2semidirect
11. #52995C2semidirect
12. #52355C2semidirect
13. #42965C2semidirect
14. #42783C2semidirect
15. #42699C2semidirect
16. #42582C2semidirect
17. #40526C2semidirect
18. #39761C2semidirect
19. #39400C2semidirect
20. #39397C2semidirect
21. #39369C2semidirect
22. #39180C2semidirect
23. #38975C2semidirect
24. #38238C2semidirect
25. #37759C2semidirect
26. #37629C2semidirect
27. #37629C2semidirect
28. #37625C2semidirect
29. #37511C2semidirect
30. #36559C2semidirect
31. #36407C2semidirect
32. #36312C2semidirect
33. #34934C2semidirect
34. #34920C2semidirect
35. #34918C2semidirect

Maximal subgroups

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

subgroupindex
#598222
#596472
#596462
#595632
#591192
#586602
#539852
#531202
#531122
#530492
#529952
#523552
#429652
#427832
#426992
#425822
#405262
#397612
#394002
#393972
#393692
#391802
#389752
#382382
#377592
#376292
#376252
#375112
#365592
#364072
#363122
#349342
#349202
#349182