Finite Group Databasebeta

← #7712237

Subgroups — #7712237

Order 512.

4338 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59769C212yesmaximal
2#59749C212yesmaximal, complemented
3#59551C212yesmaximal, complemented
4#59547C212yesmaximal, complemented
5#46218C214yesmaximal, complemented
6#45555C214yesmaximal, complemented
7#39626C211yesmaximal, characteristic, complemented
8#39619C211yesmaximal, characteristic, complemented
9#39515C211yesmaximal, characteristic, complemented
10#39506C211yesmaximal, characteristic, complemented
11#38699C214yesmaximal, complemented
12#38527C214yesmaximal, complemented
13#38240C212yesmaximal, complemented
14#38229C212yesmaximal, complemented
15#38075C212yesmaximal, complemented
16#38063C212yesmaximal
17#37962C212yesmaximal, complemented
18#37955C212yesmaximal, complemented
19#37637C211yesmaximal, characteristic, complemented
20#37631C211yesmaximal, characteristic, complemented
21#37416C212yesmaximal, complemented
22#37408C212yesmaximal, complemented
23#36635C211yesmaximal, characteristic, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36512C212yesmaximal, complemented
26#36505C211yesmaximal, characteristic
27#36480C211yesmaximal, characteristic, complemented
28#36456C211yesmaximal, characteristic
29#36450C212yesmaximal, complemented
30#36450C211yesmaximal, characteristic, complemented
31#35314C212yesmaximal, complemented
32#35282C212yesmaximal, complemented
33#34491C211yesmaximal, characteristic, complemented
34#34488C211yesmaximal, characteristic, complemented
35#34026C211yesmaximal, characteristic
36C2×Q82C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2212yes—
40#2864C2212yes—
41#2863C2212yes—
42#2863C2211yescharacteristic
43#2863C2212yes—
44#2863C2212yes—
45#2863C2211yescharacteristic
46#2863C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2862C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2212yes—
57#2855C2211yescharacteristic
58#2855C2211yescharacteristic
59#2855C2212yes—
60#2855C2212yes—
61#2855C2212yes—
62#2851C2212yes—
63#2851C2212yes—
64#2851C2212yes—
65#2838C2214yes—
66#2831C2214yes—
67#2806C2214yes—
68#2798C2214yes—
69#2796C2214yes—
70#2793C2214yes—
71#2792C2214yes—
72#2790C2214yes—
73#2783C2214yes—
74#2783C2214yes—
75#2775C2214yes—
76#2772C2214yes—
77#2769C2214yes—
78#2767C2214yes—
79#2767C2214yes—
80#2766C2214yes—
81#2765C2214yes—
82#2764C2214yes—
83#2763C2214yes—
84#2762C2214yes—
85#2762C2214yes—
86#2761C2214yes—
87#2759C2214yes—
88#2759C2214yes—
89#2759C2214yes—
90#2757C2214yes—
91#2754C2214yes—
92#2751C2214yes—
93#2745C2214yes—
94#2744C2214yes—
95#2740C2214yes—
96#2737C2214yes—
97#2713C2214yes—
98#2713C2214yes—
99#2660C2212yes—
100#2660C2212yes—
101#2650C2214yes—
102#2647C2212yes—
103#2645C2212yes—
104#2644C2212yes—
105#2640C2212yes—
106#2637C2214yes—
107#2629C2212yes—
108#2628C2212yes—
109#2628C2212yes—
110#2625C2212yes—
111#2625C2212yes—
112#2621C2212yes—
113#2612C2214yes—
114#2605C2214yes—
115#2604C2214yes—
116#2599C2214yes—
117#2592C2212yes—
118#2588C2214yes—
119#2586C2214yes—
120#2585C2214yes—
121#2582C2212yes—
122#2581C2212yes—
123#2577C2214yes—
124#2577C2214yes—
125#2577C2214yes—
126#2574C2214yes—
127#2574C2214yes—
128#2568C2212yes—
129#2568C2211yescharacteristic
130#2567C2211yescharacteristic
131#2567C2212yes—
132#2565C2212yes—
133#2563C2211yescharacteristic
134#2563C2212yes—
135#2562C2212yes—
136#2560C2214yes—
137#2556C2214yes—
138#2552C2211yescharacteristic
139#2552C2212yes—
140#2551C2211yescharacteristic
141#2550C2212yes—
142#2547C2211yescharacteristic
143#2538C2211yescharacteristic
144#2538C2212yes—
145#2538C2211yescharacteristic
146#2536C2212yes—
147#2533C2214yes—
148#2531C2214yes—
149#2529C2214yes—
150#2528C2214yes—
151#2528C2214yes—
152#2528C2214yes—
153#2528C2214yes—
154#2524C2214yes—
155#2524C2214yes—
156#2524C2214yes—
157#2523C2214yes—
158#2523C2214yes—
159#2523C2214yes—
160#2522C2214yes—
161#2520C2214yes—
162#2520C2214yes—
163#2520C2214yes—
164#2517C2214yes—
165#2517C2214yes—
166#2514C2212yes—
167#2514C2212yes—
168#2514C2214yes—
169#2513C2212yes—
170#2513C2212yes—
171#2512C2212yes—
172#2509C2212yes—
173#2508C2212yes—
174#2508C2212yes—
175#2508C2212yes—
176#2507C2212yes—
177#2499C2214yes—
178#2499C2212yes—
179#2497C2212yes—
180#2496C2212yes—
181#2495C2212yes—
182#2494C2212yes—
183#2494C2212yes—
184#2494C2212yes—
185#2492C2212yes—
186#2492C2212yes—
187#2489C2212yes—
188#2489C2212yes—
189#2489C2212yes—
190#2489C2212yes—
191#2478C2214yes—
192#2475C2214yes—
193#2465C2214yes—
194#2465C2214yes—
195#2465C2214yes—
196#2462C2214yes—
197#2460C2214yes—
198#2452C2212yes—
199#2452C2214yes—
200#2451C2212yes—
201#2451C2212yes—
202#2451C2212yes—
203#2451C2212yes—
204#2448C2212yes—
205#2448C2212yes—
206#2446C2212yes—
207#2446C2212yes—
208#2446C2212yes—
209#2439C2214yes—
210#2439C2212yes—
211#2439C2212yes—
212#2432C2212yes—
213#2382C2214yes—
214#2381C2214yes—
215#2373C2214yes—
216#2370C2212yes—
217#2369C2211yescharacteristic
218#2367C2212yes—
219#2365C2212yes—
220#2365C2211yescharacteristic
221#2365C2212yes—
222#2365C2212yes—
223#2365C2212yes—
224#2362C2214yes—
225#2362C2212yes—
226#2362C2212yes—
227#2356C2212yes—
228#2356C2212yes—
229#2356C2214yes—
230#2355C2214yes—
231#2355C2212yes—
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2355C2212yes—
235#2355C2211yescharacteristic
236#2351C2212yes—
237#2351C2212yes—
238Q8×C4⋊C4C2211yescharacteristic
239#2347C2212yes—
240#2341C2212yes—
241#2336C2214yes—
242#2331C2212yes—
243#2331C2212yes—
244#2331C2212yes—
245#2330C2212yes—
246#2327C2214yes—
247#2327C2212yes—
248#2327C2212yes—
249#2320C2212yes—
250#2320C2212yes—
251#2320C2212yes—
252#2320C2212yes—
253#2314C2212yes—
254#2314C2212yes—
255C4×C4⋊Q8C2211yescharacteristic
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2212yes—
260C4×#125C2212yes—
261C4×#125C2212yes—
262C4×#125C2212yes—
263C4×C22⋊Q8C2211yescharacteristic
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270#2298C2212yes—
271#2298C2212yes—
272#2297C2211yescharacteristic
273#2297C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2295C2211yescharacteristic
277#2295C2212yes—
278#2295C2212yes—
279#2295C2212yes—
280#2295C2211yescharacteristic
281#2295C2211yescharacteristic
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2290C2212yes—
291#2290C2212yes—
292#2290C2212yes—
293#2283C2212yes—
294#2283C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2311yescharacteristic
300Q82—28no—
301#557—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C4×#41—28no—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C22×C42C2312yes—
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363#401C2314yes—
364#401C2314yes—
365#401C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#399C2314yes—
384#399C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#394C2314yes—
435#394C2314yes—
436#393C2314yes—
437#393C2314yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#391C2314yes—
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2314yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2314yes—
453#391C2312yes—
454#391C2314yes—
455#391C2312yes—
456#391C2314yes—
457#391C2314yes—
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2311yescharacteristic
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2311yescharacteristic
489#390C2314yes—
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2314yes—
494#390C2312yes—
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2314yes—
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
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#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2314yes—
687#384C2312yes—
688#384C2312yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2312yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#383C2312yes—
697#383C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2314yes—
716#382C2314yes—
717#381C2314yes—
718#381C2312yes—
719#381C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795#376C2312yes—
796#376C2312yes—
797#376C2312yes—
798#376C2312yes—
799#376C2314yes—
800#376C2314yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804C43C2311yescharacteristic
805C43C2311yescharacteristic
806C43C2312yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C4⋊Q8—28no—
837C4⋊Q8—28no—
838C4⋊Q8—216no—
839C4⋊Q8—24no—
840C4⋊Q8—28no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—44no—
845C4⋊Q8—44no—
846#126—48no—
847#125—216no—
848#125—28no—
849#125—44no—
850#125—44no—
851#125—44no—
852#124—44no—
853C22⋊Q8—28no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856C22⋊Q8—48no—
857C22⋊Q8—42no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—42no—
861C4×Q8—24no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—48no—
871C4×Q8—48no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8#4118yes—
876C4×D4—24no—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—24no—
880#117—24no—
881#117—24no—
882#117—28no—
883#117—28no—
884#117—44no—
885#117—44no—
886#117—44no—
887#117—42no—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊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⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C42—24no—
991C2×C42—28no—
992C2×C42—24no—
993C2×C42—24no—
994C2×C42—42no—
995C2×C42—42no—
996C2×C42—42no—
997C2×C42—42no—
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139C24C2512yes—
1140C24C2511yescharacteristic
1141#41—416no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—28no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8C2×#4114yes—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—42no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—24no—
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—24no—
1190C22×C4—24no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C42−1+414yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4C2×#4114yes—
1309C4⋊C4C2×#4118yes—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C42—22no—
1338C42—24no—
1339C42—22no—
1340C42—24no—
1341C42—22no—
1342C42—28no—
1343C42—24no—
1344C42—28no—
1345C42—24no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—24no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—28no—
1367C42—24no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—42no—
1377C42—42no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42C2×#4118yes—
1386C42C2×#4114yes—
1387C422−1+414yes—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23C2×2−1+412yes—
1402C23C2611yescharacteristic
1403Q8—28no—
1404Q8—48no—
1405Q8—44no—
1406Q8—44no—
1407Q8—84no—
1408Q8—88no—
1409Q8—84no—
1410Q8—88no—
1411D4—48no—
1412D4—44no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—28no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—44no—
1500C2×C4—48no—
1501C2×C4—44no—
1502C2×C4—48no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—48no—
1508C2×C4C22×#4114yes—
1509C2×C4C22×#4114yes—
1510C2×C4C22×#4112yes—
1511C2×C4C22×#4112yes—
1512C2×C4C22×#4112yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4C2×2−1+412yes—
1517C2×C4C2×2−1+412yes—
1518C2×C4#58512yes—
1519C2×C4#58512yes—
1520C2×C4#58512yes—
1521C2×C4#58512yes—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22C23×#4111yescharacteristic
1537C22C22×2−1+411yescharacteristic
1538C22C22×2−1+411yescharacteristic
1539C22C2×#58511yescharacteristic
1540C22C2×#58511yescharacteristic
1541C22C2×#58511yescharacteristic
1542C22C2×#58511yescharacteristic
1543C4—22no—
1544C4—24no—
1545C4—22no—
1546C4—22no—
1547C4—24no—
1548C4—22no—
1549C4—22no—
1550C4—22no—
1551C4—42no—
1552C4—44no—
1553C4—41no—
1554C4—41no—
1555C4—42no—
1556C4—41no—
1557C4—41no—
1558C4—44no—
1559C4—42no—
1560C4—42no—
1561C4—41no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—44no—
1566C4—42no—
1567C4—44no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—41no—
1574C4#349514yes—
1575C4#351814yes—
1576C2—42no—
1577C2—82no—
1578C2#6276111yescharacteristic
1579C2#6276211yescharacteristic
1580C2C2×#351811yescharacteristic
1581C2C2×#349511yescharacteristic
1582C2#6281011yescharacteristic
1583C2#6283111yescharacteristic
1584C2#6283711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59749C2semidirect
3. #59551C2semidirect
4. #59547C2semidirect
5. #46218C2semidirect
6. #45555C2semidirect
7. #39626C2semidirect
8. #39619C2semidirect
9. #39515C2semidirect
10. #39506C2semidirect
11. #38699C2semidirect
12. #38527C2semidirect
13. #38240C2semidirect
14. #38229C2semidirect
15. #38075C2semidirect
17. #37962C2semidirect
18. #37955C2semidirect
19. #37637C2semidirect
20. #37631C2semidirect
21. #37416C2semidirect
22. #37408C2semidirect
23. #36635C2semidirect
24. #36635C2semidirect
25. #36512C2semidirect
27. #36480C2semidirect
29. #36450C2semidirect
30. #36450C2semidirect
31. #35314C2semidirect
32. #35282C2semidirect
33. #34491C2semidirect
34. #34488C2semidirect

Maximal subgroups

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

subgroupindex
#597692
#597492
#595512
#595472
#462182
#455552
#396262
#396192
#395152
#395062
#386992
#385272
#382402
#382292
#380752
#380632
#379622
#379552
#376372
#376312
#374162
#374082
#366352
#365122
#365052
#364802
#364562
#364502
#353142
#352822
#344912
#344882
#340262