Finite Group Databasebeta

← #7712227

Subgroups — #7712227

Order 512.

4372 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59556C212yesmaximal, complemented
2#59508C212yesmaximal, complemented
3#59393C212yesmaximal, complemented
4#59390C212yesmaximal, complemented
5#46183C214yesmaximal, complemented
6#45636C214yesmaximal, complemented
7#40207C214yesmaximal, complemented
8#39919C214yesmaximal, complemented
9#39285C212yesmaximal, complemented
10#39263C212yesmaximal, complemented
11#39136C211yesmaximal, characteristic
12#39127C211yesmaximal, characteristic, complemented
13#39081C212yesmaximal, complemented
14#39057C212yesmaximal, complemented
15#38943C211yesmaximal, characteristic, complemented
16#38930C211yesmaximal, characteristic, complemented
17#38289C212yesmaximal, complemented
18#38279C212yesmaximal, complemented
19#37628C211yesmaximal, characteristic, complemented
20#37627C211yesmaximal, characteristic, complemented
21#37417C212yesmaximal, complemented
22#37416C212yesmaximal, complemented
23#36638C211yesmaximal, characteristic, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36537C212yesmaximal, complemented
26#36508C211yesmaximal, characteristic, complemented
27#36477C212yesmaximal, complemented
28#36454C211yesmaximal, characteristic, complemented
29#36453C211yesmaximal, characteristic, complemented
30#36447C211yesmaximal, characteristic, complemented
31#35321C212yesmaximal, complemented
32#35269C212yesmaximal, complemented
33#34488C211yesmaximal, characteristic, complemented
34#34481C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2866C2212yes—
40#2865C2212yes—
41#2864C2212yes—
42#2864C2211yescharacteristic
43#2863C2212yes—
44#2863C2212yes—
45#2863C2211yescharacteristic
46#2862C2211yescharacteristic
47#2861C2211yescharacteristic
48#2861C2212yes—
49#2860C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2212yes—
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2855C2212yes—
55#2855C2212yes—
56#2855C2211yescharacteristic
57#2855C2212yes—
58#2855C2212yes—
59#2854C2211yescharacteristic
60#2853C2212yes—
61#2852C2212yes—
62#2851C2212yes—
63#2851C2211yescharacteristic
64#2850C2211yescharacteristic
65#2837C2214yes—
66#2836C2214yes—
67#2800C2214yes—
68#2795C2214yes—
69#2794C2214yes—
70#2793C2214yes—
71#2793C2214yes—
72#2790C2214yes—
73#2783C2214yes—
74#2781C2214yes—
75#2780C2214yes—
76#2773C2214yes—
77#2772C2214yes—
78#2772C2214yes—
79#2769C2214yes—
80#2767C2214yes—
81#2766C2214yes—
82#2766C2214yes—
83#2765C2214yes—
84#2761C2214yes—
85#2761C2214yes—
86#2761C2214yes—
87#2757C2214yes—
88#2753C2214yes—
89#2749C2214yes—
90#2744C2214yes—
91#2744C2214yes—
92#2743C2214yes—
93#2738C2214yes—
94#2738C2214yes—
95#2727C2214yes—
96#2725C2214yes—
97#2707C2214yes—
98#2705C2214yes—
99#2654C2214yes—
100#2651C2214yes—
101#2647C2212yes—
102#2647C2212yes—
103#2644C2212yes—
104#2642C2212yes—
105#2629C2212yes—
106#2629C2212yes—
107#2625C2212yes—
108#2625C2212yes—
109#2624C2212yes—
110#2621C2212yes—
111#2620C2212yes—
112#2620C2212yes—
113#2608C2214yes—
114#2608C2214yes—
115#2602C2214yes—
116#2600C2214yes—
117#2597C2214yes—
118#2596C2214yes—
119#2595C2214yes—
120#2593C2214yes—
121#2590C2214yes—
122#2587C2214yes—
123#2587C2214yes—
124#2585C2214yes—
125#2585C2214yes—
126#2576C2214yes—
127#2575C2214yes—
128#2575C2214yes—
129#2573C2214yes—
130#2573C2214yes—
131#2571C2211yescharacteristic
132#2571C2212yes—
133#2571C2212yes—
134#2570C2214yes—
135#2566C2214yes—
136#2565C2212yes—
137#2562C2212yes—
138#2552C2211yescharacteristic
139#2552C2212yes—
140#2547C2211yescharacteristic
141#2546C2211yescharacteristic
142#2545C2212yes—
143#2545C2212yes—
144#2542C2211yescharacteristic
145#2542C2211yescharacteristic
146#2540C2212yes—
147#2538C2212yes—
148#2538C2212yes—
149#2538C2212yes—
150#2538C2211yescharacteristic
151#2537C2211yescharacteristic
152#2536C2212yes—
153#2529C2214yes—
154#2529C2214yes—
155#2528C2214yes—
156#2526C2214yes—
157#2525C2214yes—
158#2525C2214yes—
159#2524C2214yes—
160#2524C2214yes—
161#2522C2214yes—
162#2519C2214yes—
163#2519C2214yes—
164#2519C2214yes—
165#2518C2214yes—
166#2518C2214yes—
167#2517C2214yes—
168#2515C2214yes—
169#2515C2214yes—
170#2515C2214yes—
171#2513C2212yes—
172#2511C2212yes—
173#2508C2212yes—
174#2508C2214yes—
175#2508C2212yes—
176#2507C2212yes—
177#2506C2214yes—
178#2506C2212yes—
179#2503C2212yes—
180#2497C2214yes—
181#2497C2212yes—
182#2497C2212yes—
183#2497C2212yes—
184#2495C2212yes—
185#2494C2212yes—
186#2494C2212yes—
187#2490C2212yes—
188#2489C2212yes—
189#2489C2212yes—
190#2466C2214yes—
191#2460C2214yes—
192#2460C2214yes—
193#2453C2212yes—
194#2447C2212yes—
195#2441C2212yes—
196#2429C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2429C2212yes—
201#2427C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2423C2212yes—
206#2421C2212yes—
207#2421C2212yes—
208#2421C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2417C2212yes—
212#2414C2212yes—
213#2383C2214yes—
214#2382C2214yes—
215#2374C2214yes—
216#2370C2214yes—
217#2370C2212yes—
218#2367C2212yes—
219#2367C2212yes—
220#2365C2212yes—
221#2365C2211yescharacteristic
222#2365C2211yescharacteristic
223#2362C2212yes—
224#2362C2212yes—
225#2361C2212yes—
226#2360C2212yes—
227#2357C2214yes—
228#2357C2214yes—
229#2355C2211yescharacteristic
230#2355C2212yes—
231#2355C2212yes—
232#2351C2212yes—
233#2351C2212yes—
234Q8×C4⋊C4C2212yes—
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2211yescharacteristic
237Q8×C4⋊C4C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239#2347C2212yes—
240#2345C2212yes—
241#2336C2214yes—
242#2334C2214yes—
243#2330C2212yes—
244#2327C2212yes—
245#2326C2212yes—
246#2323C2212yes—
247#2323C2212yes—
248#2323C2212yes—
249#2320C2212yes—
250#2320C2212yes—
251#2320C2212yes—
252#2320C2212yes—
253#2319C2212yes—
254#2317C2212yes—
255C4×C4⋊Q8C2211yescharacteristic
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2212yes—
258C4×#125C2212yes—
259C4×#125C2211yescharacteristic
260C4×#125C2212yes—
261C4×#125C2211yescharacteristic
262C4×#125C2211yescharacteristic
263C4×#126C2212yes—
264C4×#126C2212yes—
265C4×#126C2212yes—
266C4×#124C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×#123C2212yes—
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2298C2212yes—
283#2298C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286#2295C2211yescharacteristic
287#2295C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290#2290C2212yes—
291#2290C2212yes—
292#2283C2211yescharacteristic
293#2283C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299#557—28no—
300#556—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#124C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2312yes—
371C22×C42C2311yescharacteristic
372#401C2314yes—
373#400C2314yes—
374#400C2314yes—
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#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#392C2314yes—
452#391C2311yescharacteristic
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2311yescharacteristic
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#390C2314yes—
472#390C2314yes—
473#390C2311yescharacteristic
474#390C2312yes—
475#390C2311yescharacteristic
476#390C2314yes—
477#390C2314yes—
478#390C2314yes—
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2312yes—
482#390C2311yescharacteristic
483#390C2312yes—
484#390C2311yescharacteristic
485#389C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2314yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2314yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2314yes—
688#384C2312yes—
689#383C2312yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2312yes—
718#381C2314yes—
719#381C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804C43C2311yescharacteristic
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2414yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C4⋊Q8—28no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—44no—
838#126—28no—
839#126—216no—
840#126—44no—
841#125—24no—
842#125—216no—
843#125—28no—
844#125—42no—
845#125—44no—
846#125—44no—
847#125—48no—
848#124—24no—
849#124—28no—
850#124—42no—
851#124—44no—
852#123—28no—
853#123—28no—
854C22⋊Q8—24no—
855C22⋊Q8—28no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—42no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864#121—24no—
865#121—44no—
866#121—42no—
867#121—44no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×Q8—42no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8#4118yes—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—24no—
885C4×D4—42no—
886C4×D4—42no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—48no—
891#117—28no—
892#117—28no—
893#117—44no—
894#117—44no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C42—24no—
1012C2×C42—24no—
1013C2×C42—44no—
1014C2×C42—42no—
1015C2×C42—42no—
1016C2×C42—42no—
1017C2×C42—42no—
1018C2×C42—42no—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146C24C2512yes—
1147C24C2512yes—
1148C24C2511yescharacteristic
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8C2×#4114yes—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—42no—
1175C2×D4—44no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C42−1+414yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2514yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4C2×#4114yes—
1315C4⋊C4C2×#4118yes—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—28no—
1363C42—28no—
1364C42—24no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—24no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—41no—
1386C42—41no—
1387C42—42no—
1388C42—41no—
1389C42—41no—
1390C42—41no—
1391C42—42no—
1392C42—41no—
1393C42—41no—
1394C42—41no—
1395C42—41no—
1396C42—41no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—42no—
1401C42—42no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—44no—
1406C42C2×#4114yes—
1407C42C2×#4118yes—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23C2×2−1+412yes—
1429C23C2611yescharacteristic
1430Q8—28no—
1431Q8—48no—
1432Q8—44no—
1433Q8—48no—
1434D4—48no—
1435D4—44no—
1436D4—44no—
1437D4—84no—
1438D4—88no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—48no—
1530C2×C4—44no—
1531C2×C4—48no—
1532C2×C4—84no—
1533C2×C4—84no—
1534C2×C4—164no—
1535C2×C4C22×#4114yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4114yes—
1538C2×C4C22×#4112yes—
1539C2×C4C22×#4112yes—
1540C2×C4C2×2−1+412yes—
1541C2×C4C2×2−1+412yes—
1542C2×C4#58512yes—
1543C2×C4#58512yes—
1544C2×C4#58512yes—
1545C2×C4#58512yes—
1546C2×C4#58512yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22C23×#4111yescharacteristic
1569C22C22×2−1+411yescharacteristic
1570C22C2×#58511yescharacteristic
1571C22C2×#58511yescharacteristic
1572C22C2×#58511yescharacteristic
1573C22C2×#58511yescharacteristic
1574C22C2×#58511yescharacteristic
1575C4—22no—
1576C4—24no—
1577C4—24no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—42no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—42no—
1587C4—41no—
1588C4—41no—
1589C4—44no—
1590C4—41no—
1591C4—42no—
1592C4—42no—
1593C4—44no—
1594C4—42no—
1595C4—41no—
1596C4—41no—
1597C4—42no—
1598C4—44no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4—44no—
1605C4#351214yes—
1606C4#352414yes—
1607C2—42no—
1608C2—82no—
1609C2—82no—
1610C2#6276111yescharacteristic
1611C2#6276211yescharacteristic
1612C2C2×#352411yescharacteristic
1613C2#6280511yescharacteristic
1614C2C2×#351211yescharacteristic
1615C2#6282311yescharacteristic
1616C2#6282711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39136C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59556C2semidirect
2. #59508C2semidirect
3. #59393C2semidirect
4. #59390C2semidirect
5. #46183C2semidirect
6. #45636C2semidirect
7. #40207C2semidirect
8. #39919C2semidirect
9. #39285C2semidirect
10. #39263C2semidirect
12. #39127C2semidirect
13. #39081C2semidirect
14. #39057C2semidirect
15. #38943C2semidirect
16. #38930C2semidirect
17. #38289C2semidirect
18. #38279C2semidirect
19. #37628C2semidirect
20. #37627C2semidirect
21. #37417C2semidirect
22. #37416C2semidirect
23. #36638C2semidirect
24. #36635C2semidirect
25. #36537C2semidirect
26. #36508C2semidirect
27. #36477C2semidirect
28. #36454C2semidirect
29. #36453C2semidirect
30. #36447C2semidirect
31. #35321C2semidirect
32. #35269C2semidirect
33. #34488C2semidirect
34. #34481C2semidirect
35. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#595562
#595082
#593932
#593902
#461832
#456362
#402072
#399192
#392852
#392632
#391362
#391272
#390812
#390572
#389432
#389302
#382892
#382792
#376282
#376272
#374172
#374162
#366382
#366352
#365372
#365082
#364772
#364542
#364532
#364472
#353212
#352692
#344882
#344812
C4×#5292