Finite Group Databasebeta

← #7987449

Subgroups — #7987449

Order 512.

4285 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59934C212yesmaximal, complemented
2#59505C212yesmaximal, complemented
3#59467C211yesmaximal, characteristic, complemented
4#59042C211yesmaximal, characteristic, complemented
5#59042C211yesmaximal, characteristic, complemented
6#50333C214yesmaximal, complemented
7#50259C214yesmaximal, complemented
8#46222C214yesmaximal, complemented
9#45327C212yesmaximal, complemented
10#45298C212yesmaximal, complemented
11#45262C212yesmaximal, complemented
12#45225C212yesmaximal, complemented
13#42870C212yesmaximal, complemented
14#42852C212yesmaximal, complemented
15#42763C212yesmaximal, complemented
16#42719C212yesmaximal
17#39769C211yesmaximal, characteristic, complemented
18#39737C211yesmaximal, characteristic, complemented
19#39513C211yesmaximal, characteristic, complemented
20#39478C211yesmaximal, characteristic, complemented
21#38289C212yesmaximal, complemented
22#38203C212yesmaximal, complemented
23#38193C214yesmaximal, complemented
24Q8×#126C212yesmaximal, complemented
25#36485C212yesmaximal, complemented
26#36450C211yesmaximal, characteristic, complemented
27#36315C211yesmaximal, characteristic, complemented
28#36134C211yesmaximal, characteristic, complemented
29#35217C212yesmaximal, complemented
30#35183C212yesmaximal, complemented
31#34797C211yesmaximal, characteristic
32#34793C211yesmaximal, characteristic, complemented
33#34487C211yesmaximal, characteristic, complemented
34#34374C211yesmaximal, characteristic, complemented
35#34154C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2868C2211yescharacteristic
40#2866C2214yes—
41#2865C2214yes—
42#2863C2212yes—
43#2863C2214yes—
44#2861C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2837C2214yes—
48#2831C2214yes—
49#2808C2214yes—
50#2803C2214yes—
51#2800C2214yes—
52#2798C2214yes—
53#2795C2214yes—
54#2795C2214yes—
55#2794C2214yes—
56#2794C2214yes—
57#2793C2214yes—
58#2793C2214yes—
59#2793C2214yes—
60#2793C2214yes—
61#2791C2214yes—
62#2791C2214yes—
63#2783C2214yes—
64#2781C2214yes—
65#2779C2214yes—
66#2774C2214yes—
67#2773C2214yes—
68#2772C2214yes—
69#2767C2214yes—
70#2767C2214yes—
71#2755C2214yes—
72#2754C2214yes—
73#2754C2214yes—
74#2747C2214yes—
75#2744C2214yes—
76#2741C2214yes—
77#2740C2214yes—
78#2740C2214yes—
79#2739C2214yes—
80#2690C2214yes—
81#2690C2214yes—
82#2655C2214yes—
83#2655C2214yes—
84#2654C2214yes—
85#2651C2214yes—
86#2650C2214yes—
87#2648C2214yes—
88#2642C2212yes—
89#2629C2212yes—
90#2625C2212yes—
91#2620C2212yes—
92#2612C2214yes—
93#2596C2214yes—
94#2596C2214yes—
95#2594C2214yes—
96#2594C2214yes—
97#2594C2214yes—
98#2594C2214yes—
99#2593C2214yes—
100#2593C2214yes—
101#2590C2214yes—
102#2590C2214yes—
103#2588C2214yes—
104#2587C2214yes—
105#2585C2214yes—
106#2577C2214yes—
107#2575C2214yes—
108#2570C2212yes—
109#2570C2212yes—
110#2570C2214yes—
111#2568C2211yescharacteristic
112#2568C2211yescharacteristic
113#2565C2212yes—
114#2565C2212yes—
115#2562C2212yes—
116#2552C2212yes—
117#2552C2212yes—
118#2552C2211yescharacteristic
119#2552C2211yescharacteristic
120#2547C2211yescharacteristic
121#2547C2211yescharacteristic
122#2545C2212yes—
123#2545C2212yes—
124#2542C2212yes—
125#2538C2212yes—
126#2536C2212yes—
127#2536C2212yes—
128#2533C2214yes—
129#2532C2214yes—
130#2531C2214yes—
131#2531C2212yes—
132#2530C2212yes—
133#2529C2214yes—
134#2529C2214yes—
135#2529C2212yes—
136#2528C2214yes—
137#2528C2212yes—
138#2526C2214yes—
139#2520C2214yes—
140#2519C2214yes—
141#2518C2212yes—
142#2517C2212yes—
143#2516C2214yes—
144#2515C2214yes—
145#2514C2212yes—
146#2512C2211yescharacteristic
147#2511C2212yes—
148#2511C2214yes—
149#2511C2212yes—
150#2511C2212yes—
151#2511C2214yes—
152#2511C2212yes—
153#2511C2212yes—
154#2511C2214yes—
155#2511C2211yescharacteristic
156#2509C2212yes—
157#2508C2212yes—
158#2507C2211yescharacteristic
159#2507C2212yes—
160#2506C2211yescharacteristic
161#2500C2211yescharacteristic
162#2499C2212yes—
163#2499C2211yescharacteristic
164#2497C2212yes—
165#2497C2214yes—
166#2497C2212yes—
167#2497C2212yes—
168#2497C2212yes—
169#2497C2214yes—
170#2497C2214yes—
171#2495C2211yescharacteristic
172#2494C2212yes—
173#2494C2211yescharacteristic
174#2492C2212yes—
175#2492C2212yes—
176#2490C2211yescharacteristic
177#2489C2212yes—
178#2489C2212yes—
179#2489C2212yes—
180#2489C2211yescharacteristic
181#2485C2212yes—
182#2485C2212yes—
183#2485C2211yescharacteristic
184#2485C2211yescharacteristic
185#2477C2214yes—
186#2477C2214yes—
187#2467C2212yes—
188#2460C2212yes—
189#2453C2212yes—
190#2453C2212yes—
191#2451C2212yes—
192#2451C2212yes—
193#2448C2212yes—
194#2446C2212yes—
195#2446C2212yes—
196#2446C2212yes—
197#2446C2212yes—
198#2441C2211yescharacteristic
199#2441C2212yes—
200#2441C2212yes—
201#2441C2212yes—
202#2441C2211yescharacteristic
203#2429C2212yes—
204#2429C2212yes—
205#2427C2212yes—
206#2427C2212yes—
207#2426C2212yes—
208#2423C2212yes—
209#2423C2212yes—
210#2421C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2415C2211yescharacteristic
214#2414C2211yescharacteristic
215#2409C2212yes—
216#2409C2212yes—
217#2401C2212yes—
218#2395C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2382C2214yes—
222#2378C2214yes—
223#2371C2214yes—
224#2371C2214yes—
225#2370C2212yes—
226#2369C2212yes—
227#2367C2212yes—
228#2367C2212yes—
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2211yescharacteristic
233#2365C2211yescharacteristic
234#2365C2211yescharacteristic
235#2365C2211yescharacteristic
236#2365C2211yescharacteristic
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2357C2212yes—
244#2355C2212yes—
245#2355C2212yes—
246#2355C2212yes—
247#2355C2211yescharacteristic
248#2354C2212yes—
249#2354C2212yes—
250#2354C2211yescharacteristic
251Q8×C4⋊C4C2212yes—
252Q8×C4⋊C4C2212yes—
253Q8×C4⋊C4C2212yes—
254Q8×C4⋊C4C2212yes—
255#2346C2212yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259#2332C2214yes—
260#2331C2212yes—
261#2327C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2319C2212yes—
269#2314C2212yes—
270#2314C2214yes—
271#2314C2212yes—
272#2310C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2212yes—
275C4×#125C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#125C2212yes—
278C4×#126C2214yes—
279C4×#126C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2298C2214yes—
285#2298C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300D4×Q8—28no—
301#533—28no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#126C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363#401C2314yes—
364#401C2312yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#399C2314yes—
393#399C2312yes—
394#399C2314yes—
395#399C2314yes—
396#399C2312yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#396C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#393C2314yes—
463#393C2314yes—
464#392C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#390C2311yescharacteristic
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2311yescharacteristic
501#390C2314yes—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2312yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2314yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
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#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#384C2314yes—
691#384C2312yes—
692#384C2314yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2314yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#383C2314yes—
701#383C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#382C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#381C2314yes—
715#381C2314yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809C43C2312yes—
810C43C2314yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8—28no—
814C22×Q8—44no—
815C22×Q8—44no—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8#4118yes—
839#126—28no—
840#125—28no—
841#125—28no—
842#125—28no—
843#125—42no—
844#125—44no—
845#125—44no—
846#125—42no—
847#124—44no—
848#124—44no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—28no—
853C22⋊Q8—28no—
854C22⋊Q8—216no—
855C22⋊Q8—42no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—42no—
859#121—42no—
860#121—42no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×D4—28no—
875C4×D4—24no—
876C4×D4—24no—
877C4×D4—44no—
878C4×D4—42no—
879C4×D4—44no—
880C4×D4—42no—
881#117—28no—
882#117—28no—
883#117—44no—
884#117—44no—
885#117—44no—
886#117—42no—
887#117—44no—
888#117—42no—
889#117—42no—
890#117—42no—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C42—24no—
1012C2×C42—24no—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2411yescharacteristic
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139C24C2511yescharacteristic
1140C24C2511yescharacteristic
1141C24C2512yes—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—22no—
1145C2×Q8—28no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—816no—
1157C2×Q8C2×#4118yes—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—28no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2514yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2514yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4C2×#4118yes—
1302C4⋊C4C2×#4118yes—
1303C4⋊C42−1+414yes—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—28no—
1353C42—28no—
1354C42—24no—
1355C42—22no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—22no—
1364C42—24no—
1365C42—22no—
1366C42—24no—
1367C42—22no—
1368C42—42no—
1369C42—42no—
1370C42—41no—
1371C42—44no—
1372C42—42no—
1373C42—44no—
1374C42—42no—
1375C42—42no—
1376C42—42no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42C2×#4114yes—
1386C23—21no—
1387C23—21no—
1388C23—22no—
1389C23—22no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—22no—
1397C23—22no—
1398C23—21no—
1399C23—21no—
1400C23—22no—
1401C23—22no—
1402C23—21no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23C2611yescharacteristic
1408Q8—216no—
1409Q8—44no—
1410Q8—48no—
1411Q8—48no—
1412Q8—88no—
1413D4—44no—
1414D4—44no—
1415D4—84no—
1416D4—84no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—24no—
1423C2×C4—24no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—48no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—88no—
1510C2×C4C22×#4112yes—
1511C2×C4C22×#4118yes—
1512C2×C4C22×#4112yes—
1513C2×C4C22×#4112yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4C2×2−1+412yes—
1517C2×C4#58512yes—
1518C2×C4#58512yes—
1519C2×C4#58512yes—
1520C2×C4#58512yes—
1521C22—41no—
1522C22—41no—
1523C22—42no—
1524C22—41no—
1525C22—41no—
1526C22—42no—
1527C22—42no—
1528C22—41no—
1529C22—41no—
1530C22—42no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—42no—
1536C22—41no—
1537C22—42no—
1538C22—41no—
1539C22—41no—
1540C22—42no—
1541C22—41no—
1542C22C23×#4111yescharacteristic
1543C22C22×2−1+411yescharacteristic
1544C22C2×#58511yescharacteristic
1545C22C2×#58511yescharacteristic
1546C22C2×#58511yescharacteristic
1547C22C2×#58511yescharacteristic
1548C222−1+611yescharacteristic
1549C4—22no—
1550C4—22no—
1551C4—22no—
1552C4—22no—
1553C4—28no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—41no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—41no—
1567C4—41no—
1568C4—44no—
1569C4—44no—
1570C4—42no—
1571C4—42no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—41no—
1577C4—44no—
1578C4—42no—
1579C4#352114yes—
1580C4#352414yes—
1581C2—81no—
1582C2—81no—
1583C2—82no—
1584C2#6276111yescharacteristic
1585C2C2×#352111yescharacteristic
1586C2C2×#352411yescharacteristic
1587C2#6293911yescharacteristic
1588C2#6296711yescharacteristic
1589C2#6299811yescharacteristic
1590C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59934C2semidirect
2. #59505C2semidirect
3. #59467C2semidirect
4. #59042C2semidirect
5. #59042C2semidirect
6. #50333C2semidirect
7. #50259C2semidirect
8. #46222C2semidirect
9. #45327C2semidirect
10. #45298C2semidirect
11. #45262C2semidirect
12. #45225C2semidirect
13. #42870C2semidirect
14. #42852C2semidirect
15. #42763C2semidirect
17. #39769C2semidirect
18. #39737C2semidirect
19. #39513C2semidirect
20. #39478C2semidirect
21. #38289C2semidirect
22. #38203C2semidirect
23. #38193C2semidirect
24. Q8×#126C2semidirect
25. #36485C2semidirect
26. #36450C2semidirect
27. #36315C2semidirect
28. #36134C2semidirect
29. #35217C2semidirect
30. #35183C2semidirect
32. #34793C2semidirect
33. #34487C2semidirect
34. #34374C2semidirect
35. #34154C2semidirect

Maximal subgroups

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

subgroupindex
#599342
#595052
#594672
#590422
#503332
#502592
#462222
#453272
#452982
#452622
#452252
#428702
#428522
#427632
#427192
#397692
#397372
#395132
#394782
#382892
#382032
#381932
Q8×#1262
#364852
#364502
#363152
#361342
#352172
#351832
#347972
#347932
#344872
#343742
#341542