Finite Group Databasebeta

← #7987502

Subgroups — #7987502

Order 512.

4453 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59893C212yesmaximal, complemented
2#59442C211yesmaximal, characteristic, complemented
3#59257C211yesmaximal, characteristic, complemented
4#59237C212yesmaximal, complemented
5#59234C211yesmaximal, characteristic, complemented
6#51445C214yesmaximal, complemented
7#50975C214yesmaximal, complemented
8#46037C214yesmaximal, complemented
9#45433C212yesmaximal, complemented
10#45234C212yesmaximal, complemented
11#45209C212yesmaximal, complemented
12#45158C212yesmaximal, complemented
13#42764C212yesmaximal, complemented
14#42690C212yesmaximal, complemented
15#42604C212yesmaximal, complemented
16#42466C212yesmaximal, complemented
17#39634C211yesmaximal, characteristic, complemented
18#39608C211yesmaximal, characteristic, complemented
19#39182C211yesmaximal, characteristic, complemented
20#39125C211yesmaximal, characteristic, complemented
21#38519C214yesmaximal, complemented
22#38277C212yesmaximal, complemented
23#37938C212yesmaximal, complemented
24#36586C212yesmaximal, complemented
25#36479C212yesmaximal, complemented
26#36456C211yesmaximal, characteristic, complemented
27#36301C211yesmaximal, characteristic, complemented
28#36210C211yesmaximal, characteristic, complemented
29#35228C212yesmaximal, complemented
30#35193C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic, complemented
32#34727C211yesmaximal, characteristic
33#34491C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2212yes—
40#2859C2211yescharacteristic
41#2857C2212yes—
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2855C2214yes—
45#2853C2214yes—
46#2850C2214yes—
47#2831C2214yes—
48#2829C2214yes—
49#2805C2214yes—
50#2796C2214yes—
51#2780C2214yes—
52#2780C2214yes—
53#2779C2214yes—
54#2777C2214yes—
55#2776C2214yes—
56#2775C2214yes—
57#2773C2214yes—
58#2773C2214yes—
59#2772C2214yes—
60#2769C2214yes—
61#2764C2214yes—
62#2763C2214yes—
63#2762C2214yes—
64#2758C2214yes—
65#2756C2214yes—
66#2755C2214yes—
67#2754C2214yes—
68#2754C2214yes—
69#2753C2214yes—
70#2752C2214yes—
71#2751C2214yes—
72#2750C2214yes—
73#2749C2214yes—
74#2743C2214yes—
75#2738C2214yes—
76#2737C2214yes—
77#2730C2214yes—
78#2716C2214yes—
79#2712C2214yes—
80#2692C2214yes—
81#2674C2214yes—
82#2655C2214yes—
83#2654C2214yes—
84#2653C2214yes—
85#2650C2214yes—
86#2648C2214yes—
87#2647C2212yes—
88#2647C2212yes—
89#2632C2214yes—
90#2628C2212yes—
91#2628C2212yes—
92#2611C2214yes—
93#2608C2214yes—
94#2607C2214yes—
95#2596C2214yes—
96#2596C2214yes—
97#2576C2214yes—
98#2574C2214yes—
99#2573C2214yes—
100#2572C2214yes—
101#2571C2212yes—
102#2571C2211yescharacteristic
103#2570C2212yes—
104#2568C2212yes—
105#2563C2211yescharacteristic
106#2563C2211yescharacteristic
107#2563C2212yes—
108#2563C2212yes—
109#2562C2212yes—
110#2562C2212yes—
111#2557C2214yes—
112#2557C2214yes—
113#2556C2214yes—
114#2551C2211yescharacteristic
115#2550C2212yes—
116#2550C2212yes—
117#2550C2212yes—
118#2547C2212yes—
119#2547C2212yes—
120#2538C2211yescharacteristic
121#2538C2212yes—
122#2538C2211yescharacteristic
123#2536C2212yes—
124#2533C2214yes—
125#2532C2214yes—
126#2530C2214yes—
127#2530C2212yes—
128#2528C2212yes—
129#2527C2214yes—
130#2526C2214yes—
131#2526C2214yes—
132#2525C2214yes—
133#2522C2214yes—
134#2520C2214yes—
135#2517C2214yes—
136#2517C2212yes—
137#2514C2214yes—
138#2514C2212yes—
139#2513C2212yes—
140#2513C2212yes—
141#2511C2211yescharacteristic
142#2510C2214yes—
143#2510C2214yes—
144#2509C2212yes—
145#2509C2212yes—
146#2508C2212yes—
147#2508C2212yes—
148#2506C2211yescharacteristic
149#2503C2212yes—
150#2499C2211yescharacteristic
151#2497C2212yes—
152#2495C2212yes—
153#2495C2212yes—
154#2495C2212yes—
155#2495C2212yes—
156#2494C2212yes—
157#2494C2212yes—
158#2494C2212yes—
159#2494C2212yes—
160#2494C2211yescharacteristic
161#2493C2214yes—
162#2492C2212yes—
163#2491C2212yes—
164#2491C2212yes—
165#2489C2211yescharacteristic
166#2488C2214yes—
167#2487C2212yes—
168#2487C2212yes—
169#2487C2212yes—
170#2486C2212yes—
171#2485C2212yes—
172#2485C2212yes—
173#2485C2211yescharacteristic
174#2485C2212yes—
175#2479C2212yes—
176#2477C2214yes—
177#2477C2214yes—
178#2476C2214yes—
179#2474C2214yes—
180#2471C2212yes—
181#2467C2212yes—
182#2465C2214yes—
183#2460C2212yes—
184#2458C2214yes—
185#2456C2212yes—
186#2454C2212yes—
187#2454C2211yescharacteristic
188#2454C2212yes—
189#2453C2212yes—
190#2452C2214yes—
191#2452C2212yes—
192#2452C2212yes—
193#2448C2214yes—
194#2448C2212yes—
195#2448C2211yescharacteristic
196#2445C2212yes—
197#2441C2211yescharacteristic
198#2441C2211yescharacteristic
199#2440C2212yes—
200#2439C2212yes—
201#2439C2214yes—
202#2431C2211yescharacteristic
203#2428C2211yescharacteristic
204#2423C2211yescharacteristic
205#2421C2212yes—
206#2421C2212yes—
207#2420C2212yes—
208#2420C2212yes—
209#2417C2212yes—
210#2417C2212yes—
211#2415C2212yes—
212#2415C2212yes—
213#2415C2212yes—
214#2415C2211yescharacteristic
215#2414C2211yescharacteristic
216#2407C2211yescharacteristic
217#2401C2212yes—
218#2397C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2381C2214yes—
222#2376C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2369C2212yes—
226#2369C2211yescharacteristic
227#2367C2212yes—
228#2365C2212yes—
229#2365C2212yes—
230#2362C2212yes—
231#2357C2212yes—
232#2357C2212yes—
233#2356C2212yes—
234#2356C2212yes—
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2355C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2352C2212yes—
241#2352C2212yes—
242#2352C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246#2351C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251#2347C2212yes—
252#2347C2212yes—
253#2347C2212yes—
254#2346C2214yes—
255#2344C2212yes—
256#2343C2214yes—
257#2341C2212yes—
258#2339C2212yes—
259#2334C2214yes—
260#2331C2212yes—
261#2331C2212yes—
262#2331C2212yes—
263#2328C2212yes—
264#2327C2214yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2320C2212yes—
270#2320C2212yes—
271#2317C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2214yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284#2298C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2293C2212yes—
289#2290C2212yes—
290#2290C2214yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300Q82—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2314yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308#529—28no—
309C2×#126C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2314yes—
316C2×#124C2314yes—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C4×#41—28no—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2314yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C42C2312yes—
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2314yes—
374#401C2314yes—
375#401C2314yes—
376#401C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2312yes—
405#399C2312yes—
406#399C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2312yes—
442#396C2312yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#392C2312yes—
472#392C2312yes—
473#392C2312yes—
474#392C2312yes—
475#392C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2314yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2414yes—
843C4⋊Q8—28no—
844C4⋊Q8—216no—
845C4⋊Q8—24no—
846C4⋊Q8—28no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849#127—24no—
850#126—28no—
851#125—24no—
852#125—44no—
853#125—42no—
854#125—44no—
855#124—24no—
856#124—84no—
857#124—84no—
858#123—28no—
859#123—84no—
860C22⋊Q8—24no—
861C22⋊Q8—44no—
862C22⋊Q8—48no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—42no—
866C22⋊Q8—42no—
867C22⋊Q8—84no—
868C22⋊Q8—82no—
869#121—24no—
870#121—24no—
871#121—44no—
872#121—42no—
873C4×Q8—24no—
874C4×Q8—28no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—44no—
878C4×Q8—84no—
879C4×Q8—82no—
880C4×Q8#4118yes—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—24no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—28no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—42no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—42no—
896C4×D4—42no—
897#117—24no—
898#117—28no—
899#117—28no—
900#117—44no—
901#117—48no—
902#117—42no—
903#117—42no—
904#117—44no—
905#117—44no—
906#117—82no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C42—24no—
1032C2×C42—28no—
1033C2×C42—24no—
1034C2×C42—84no—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24C2512yes—
1151C24C2511yescharacteristic
1152C24C2511yescharacteristic
1153C24C2512yes—
1154#41—416no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—28no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—42no—
1163C2×Q8—44no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8C2×#4114yes—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—24no—
1176C2×D4—22no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D42−1+414yes—
1197C22×C4—24no—
1198C22×C4—28no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—42no—
1224C22×C4—41no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—41no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—41no—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2514yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—28no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—41no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—41no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4C2×#4114yes—
1336C4⋊C4C2×#4118yes—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—22no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—41no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—22no—
1392C42—24no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—28no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—22no—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—42no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—42no—
1415C42—42no—
1416C42—41no—
1417C42—44no—
1418C42—41no—
1419C42—44no—
1420C42—44no—
1421C42C2×#4114yes—
1422C42C2×#4118yes—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—22no—
1443C23—21no—
1444C23—22no—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—22no—
1450C23C2×2−1+414yes—
1451C23C2611yescharacteristic
1452Q8—28no—
1453Q8—44no—
1454Q8—84no—
1455Q8—88no—
1456Q8—164no—
1457D4—28no—
1458D4—48no—
1459D4—44no—
1460D4—44no—
1461D4—84no—
1462D4—84no—
1463D4—84no—
1464D4—84no—
1465D4—84no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—44no—
1550C2×C4—48no—
1551C2×C4—48no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—48no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—48no—
1558C2×C4—82no—
1559C2×C4—88no—
1560C2×C4—88no—
1561C2×C4—88no—
1562C2×C4C22×#4114yes—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4114yes—
1565C2×C4C22×#4112yes—
1566C2×C4C22×#4112yes—
1567C2×C4C2×2−1+412yes—
1568C2×C4#58512yes—
1569C2×C4#58512yes—
1570C2×C4#58512yes—
1571C2×C4#58512yes—
1572C22—24no—
1573C22—24no—
1574C22—24no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—41no—
1580C22—41no—
1581C22—42no—
1582C22—42no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—42no—
1587C22—41no—
1588C22—42no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—42no—
1594C22—41no—
1595C22—42no—
1596C22—41no—
1597C22—42no—
1598C22—41no—
1599C22—41no—
1600C22C23×#4111yescharacteristic
1601C22C22×2−1+411yescharacteristic
1602C22C2×#58511yescharacteristic
1603C22C2×#58511yescharacteristic
1604C22C2×#58511yescharacteristic
1605C22C2×#58511yescharacteristic
1606C22H(7,𝔽2)11yescharacteristic
1607C4—22no—
1608C4—22no—
1609C4—24no—
1610C4—24no—
1611C4—41no—
1612C4—44no—
1613C4—42no—
1614C4—42no—
1615C4—44no—
1616C4—42no—
1617C4—41no—
1618C4—42no—
1619C4—42no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—42no—
1630C4—44no—
1631C4—42no—
1632C4—42no—
1633C4—44no—
1634C4—42no—
1635C4—41no—
1636C4#349514yes—
1637C4#352414yes—
1638C2—44no—
1639C2—81no—
1640C2—81no—
1641C2—82no—
1642C2#6276211yescharacteristic
1643C2C2×#352411yescharacteristic
1644C2C2×#349511yescharacteristic
1645C2#6293811yescharacteristic
1646C2#6295111yescharacteristic
1647C2#6300811yescharacteristic
1648C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34727C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59893C2semidirect
2. #59442C2semidirect
3. #59257C2semidirect
4. #59237C2semidirect
5. #59234C2semidirect
6. #51445C2semidirect
7. #50975C2semidirect
8. #46037C2semidirect
9. #45433C2semidirect
10. #45234C2semidirect
11. #45209C2semidirect
12. #45158C2semidirect
13. #42764C2semidirect
14. #42690C2semidirect
15. #42604C2semidirect
16. #42466C2semidirect
17. #39634C2semidirect
18. #39608C2semidirect
19. #39182C2semidirect
20. #39125C2semidirect
21. #38519C2semidirect
22. #38277C2semidirect
23. #37938C2semidirect
24. #36586C2semidirect
25. #36479C2semidirect
26. #36456C2semidirect
27. #36301C2semidirect
28. #36210C2semidirect
29. #35228C2semidirect
30. #35193C2semidirect
31. #34793C2semidirect
33. #34491C2semidirect
34. #34383C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#598932
#594422
#592572
#592372
#592342
#514452
#509752
#460372
#454332
#452342
#452092
#451582
#427642
#426902
#426042
#424662
#396342
#396082
#391822
#391252
#385192
#382772
#379382
#365862
#364792
#364562
#363012
#362102
#352282
#351932
#347932
#347272
#344912
#343832
#341272