Finite Group Databasebeta

← #7657528

Subgroups — #7657528

Order 512.

4319 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42901C212yesmaximal, complemented
2#42900C212yesmaximal, complemented
3#42835C212yesmaximal, complemented
4#42832C212yesmaximal, complemented
5#41478C214yesmaximal, complemented
6#41463C214yesmaximal, complemented
7#40859C214yesmaximal, complemented
8#40827C214yesmaximal, complemented
9#39515C211yesmaximal, characteristic, complemented
10#39509C212yesmaximal, complemented
11#39505C211yesmaximal, characteristic, complemented
12#39502C212yesmaximal, complemented
13#39157C211yesmaximal, characteristic, complemented
14#39156C211yesmaximal, characteristic, complemented
15#39153C212yesmaximal, complemented
16#39152C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37627C211yesmaximal, characteristic, complemented
19#37582C212yesmaximal, complemented
20#37573C212yesmaximal, complemented
21#36563C211yesmaximal, characteristic, complemented
22#36562C211yesmaximal, characteristic, complemented
23#36505C211yesmaximal, characteristic, complemented
24#36492C211yesmaximal, characteristic
25#35945C212yesmaximal, complemented
26#35880C212yesmaximal, complemented
27#35804C212yesmaximal, complemented
28#35710C212yesmaximal, complemented
29#35336C212yesmaximal, complemented
30#35283C211yesmaximal, characteristic, complemented
31#34619C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34328C211yesmaximal, characteristic, complemented
34#34317C211yesmaximal, characteristic, complemented
35#34125C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2868C2211yescharacteristic
40#2862C2211yescharacteristic
41#2859C2212yes—
42#2859C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2851C2212yes—
46#2851C2212yes—
47#2839C2214yes—
48#2838C2214yes—
49#2837C2214yes—
50#2831C2214yes—
51#2830C2214yes—
52#2829C2214yes—
53#2810C2214yes—
54#2808C2214yes—
55#2805C2214yes—
56#2803C2214yes—
57#2803C2214yes—
58#2798C2214yes—
59#2795C2214yes—
60#2789C2214yes—
61#2788C2214yes—
62#2787C2214yes—
63#2786C2214yes—
64#2783C2214yes—
65#2783C2214yes—
66#2783C2214yes—
67#2777C2214yes—
68#2775C2214yes—
69#2767C2214yes—
70#2762C2214yes—
71#2759C2214yes—
72#2740C2214yes—
73#2731C2214yes—
74#2727C2214yes—
75#2715C2214yes—
76#2689C2214yes—
77#2666C2214yes—
78#2662C2214yes—
79#2654C2212yes—
80#2654C2214yes—
81#2654C2214yes—
82#2654C2214yes—
83#2653C2214yes—
84#2653C2212yes—
85#2653C2214yes—
86#2651C2214yes—
87#2651C2214yes—
88#2650C2214yes—
89#2650C2214yes—
90#2650C2212yes—
91#2649C2214yes—
92#2649C2214yes—
93#2649C2212yes—
94#2647C2212yes—
95#2647C2211yescharacteristic
96#2647C2212yes—
97#2645C2211yescharacteristic
98#2645C2212yes—
99#2644C2212yes—
100#2644C2211yescharacteristic
101#2644C2212yes—
102#2640C2211yescharacteristic
103#2637C2214yes—
104#2629C2212yes—
105#2629C2212yes—
106#2628C2211yescharacteristic
107#2628C2212yes—
108#2628C2212yes—
109#2625C2212yes—
110#2625C2211yescharacteristic
111#2625C2212yes—
112#2624C2211yescharacteristic
113#2624C2212yes—
114#2620C2211yescharacteristic
115#2620C2212yes—
116#2620C2212yes—
117#2596C2214yes—
118#2596C2214yes—
119#2592C2212yes—
120#2590C2214yes—
121#2590C2214yes—
122#2590C2214yes—
123#2590C2214yes—
124#2587C2214yes—
125#2587C2214yes—
126#2587C2214yes—
127#2587C2214yes—
128#2582C2212yes—
129#2581C2212yes—
130#2573C2214yes—
131#2573C2214yes—
132#2571C2212yes—
133#2567C2211yescharacteristic
134#2567C2212yes—
135#2566C2212yes—
136#2565C2212yes—
137#2563C2211yescharacteristic
138#2562C2212yes—
139#2562C2212yes—
140#2556C2214yes—
141#2556C2214yes—
142#2552C2211yescharacteristic
143#2552C2211yescharacteristic
144#2550C2212yes—
145#2550C2212yes—
146#2547C2211yescharacteristic
147#2542C2211yescharacteristic
148#2538C2211yescharacteristic
149#2538C2212yes—
150#2537C2211yescharacteristic
151#2536C2212yes—
152#2535C2212yes—
153#2533C2214yes—
154#2532C2214yes—
155#2529C2214yes—
156#2527C2214yes—
157#2526C2214yes—
158#2526C2214yes—
159#2523C2214yes—
160#2518C2214yes—
161#2518C2214yes—
162#2514C2212yes—
163#2514C2214yes—
164#2512C2212yes—
165#2511C2212yes—
166#2511C2212yes—
167#2509C2212yes—
168#2508C2212yes—
169#2507C2214yes—
170#2500C2212yes—
171#2499C2212yes—
172#2497C2212yes—
173#2497C2212yes—
174#2497C2212yes—
175#2496C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2495C2212yes—
179#2494C2212yes—
180#2494C2212yes—
181#2492C2212yes—
182#2492C2212yes—
183#2492C2212yes—
184#2491C2212yes—
185#2491C2212yes—
186#2490C2212yes—
187#2490C2212yes—
188#2489C2212yes—
189#2489C2212yes—
190#2479C2214yes—
191#2477C2214yes—
192#2475C2214yes—
193#2474C2214yes—
194#2469C2214yes—
195#2469C2214yes—
196#2466C2214yes—
197#2463C2214yes—
198#2460C2214yes—
199#2451C2212yes—
200#2451C2212yes—
201#2451C2214yes—
202#2448C2212yes—
203#2447C2214yes—
204#2446C2212yes—
205#2439C2212yes—
206#2432C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2426C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2421C2212yes—
214#2421C2212yes—
215#2415C2212yes—
216#2407C2212yes—
217#2401C2214yes—
218#2401C2212yes—
219#2398C2212yes—
220#2398C2214yes—
221#2396C2212yes—
222#2396C2214yes—
223#2395C2214yes—
224#2395C2212yes—
225#2371C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2369C2211yescharacteristic
229#2369C2212yes—
230#2367C2212yes—
231#2365C2212yes—
232#2365C2211yescharacteristic
233#2362C2214yes—
234#2362C2212yes—
235#2362C2212yes—
236#2361C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2357C2212yes—
240#2357C2211yescharacteristic
241#2357C2212yes—
242#2357C2211yescharacteristic
243#2357C2212yes—
244#2356C2212yes—
245#2356C2212yes—
246#2355C2211yescharacteristic
247#2355C2211yescharacteristic
248#2355C2211yescharacteristic
249#2354C2211yescharacteristic
250#2352C2212yes—
251#2351C2211yescharacteristic
252#2351C2211yescharacteristic
253Q8×C4⋊C4C2212yes—
254#2347C2212yes—
255#2347C2211yescharacteristic
256#2347C2212yes—
257#2347C2211yescharacteristic
258#2344C2212yes—
259#2341C2211yescharacteristic
260#2341C2211yescharacteristic
261#2336C2214yes—
262#2332C2214yes—
263#2331C2212yes—
264#2330C2212yes—
265#2330C2212yes—
266#2327C2212yes—
267#2323C2212yes—
268#2314C2212yes—
269#2314C2212yes—
270#2314C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2212yes—
277C4×#124C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2276C2212yes—
294#2274C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#557—28no—
301#554—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2312yes—
318C2×#124C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C4×#41—28no—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2314yes—
362C22×C4⋊C4C2312yes—
363C22×C42C2312yes—
364C22×C42C2311yescharacteristic
365#401C2314yes—
366#401C2314yes—
367#401C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2312yes—
397#399C2314yes—
398#399C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2312yes—
454#396C2312yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2312yes—
482#393C2312yes—
483#393C2312yes—
484#392C2314yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2314yes—
507#391C2314yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2314yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2314yes—
528#390C2314yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
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#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#383C2312yes—
694#383C2314yes—
695#383C2312yes—
696#383C2312yes—
697#383C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2314yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#381C2312yes—
712#381C2314yes—
713#381C2312yes—
714#381C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2311yescharacteristic
806#376C2314yes—
807#376C2314yes—
808#376C2311yescharacteristic
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—42no—
815C2×#41—42no—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2414yes—
826C22×D4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C4⋊Q8—28no—
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—82no—
842#126—84no—
843#126—84no—
844#125—216no—
845#125—28no—
846#125—28no—
847#125—44no—
848#125—44no—
849#124—24no—
850#124—44no—
851#124—84no—
852C22⋊Q8—28no—
853C22⋊Q8—216no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857C22⋊Q8—42no—
858C22⋊Q8—44no—
859C22⋊Q8—82no—
860#121—44no—
861#121—42no—
862#121—44no—
863C4×Q8—24no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—42no—
869C4×Q8—44no—
870C4×Q8—42no—
871C4×Q8—44no—
872C4×Q8—42no—
873C4×Q8—42no—
874C4×Q8—84no—
875C4×Q8—82no—
876C4×Q8#4118yes—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—24no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—44no—
884C4×D4—84no—
885#117—24no—
886#117—28no—
887#117—28no—
888#117—24no—
889#117—44no—
890#117—42no—
891#117—44no—
892#117—44no—
893#117—84no—
894C2×C4⋊C4—28no—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C42—28no—
1017C2×C42—24no—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2512yes—
1142C24C2511yescharacteristic
1143C24C2512yes—
1144#41—416no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8C2×#4114yes—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—28no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—44no—
1197C22×C4—42no—
1198C22×C4—41no—
1199C22×C4—44no—
1200C22×C4—42no—
1201C22×C4—41no—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4C2×#4114yes—
1307C4⋊C4C2×#4118yes—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—22no—
1315C22⋊C4—24no—
1316C22⋊C4—22no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
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—41no—
1330C22⋊C4—41no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C42—22no—
1356C42—24no—
1357C42—22no—
1358C42—24no—
1359C42—22no—
1360C42—28no—
1361C42—24no—
1362C42—24no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—24no—
1367C42—24no—
1368C42—22no—
1369C42—24no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—42no—
1374C42—41no—
1375C42—42no—
1376C42—41no—
1377C42—44no—
1378C42—44no—
1379C42—42no—
1380C42—44no—
1381C42—44no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—42no—
1386C42—44no—
1387C42—44no—
1388C42—42no—
1389C42—41no—
1390C42—44no—
1391C42—44no—
1392C42—41no—
1393C42C2×#4118yes—
1394C42C2×#4114yes—
1395C422−1+414yes—
1396C23—22no—
1397C23—21no—
1398C23—22no—
1399C23—22no—
1400C23—21no—
1401C23—22no—
1402C23—22no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—21no—
1410C23—22no—
1411C23—21no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—21no—
1417C23C2611yescharacteristic
1418Q8—28no—
1419Q8—48no—
1420Q8—48no—
1421Q8—44no—
1422Q8—84no—
1423Q8—164no—
1424D4—48no—
1425D4—44no—
1426D4—44no—
1427D4—84no—
1428D4—88no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—48no—
1515C2×C4—48no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—48no—
1519C2×C4—84no—
1520C2×C4—88no—
1521C2×C4—82no—
1522C2×C4C22×#4114yes—
1523C2×C4C22×#4112yes—
1524C2×C4C22×#4114yes—
1525C2×C4C22×#4112yes—
1526C2×C4C22×#4112yes—
1527C2×C4C2×2−1+412yes—
1528C2×C4C2×2−1+412yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4#58512yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—42no—
1539C22—42no—
1540C22—41no—
1541C22—42no—
1542C22—41no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—41no—
1547C22—42no—
1548C22—41no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—41no—
1554C22C23×#4111yescharacteristic
1555C22C22×2−1+411yescharacteristic
1556C22C2×#58511yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22H(7,𝔽2)11yescharacteristic
1560C222−1+611yescharacteristic
1561C4—24no—
1562C4—22no—
1563C4—22no—
1564C4—24no—
1565C4—22no—
1566C4—42no—
1567C4—41no—
1568C4—42no—
1569C4—42no—
1570C4—41no—
1571C4—44no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—41no—
1577C4—42no—
1578C4—41no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—41no—
1583C4—44no—
1584C4—41no—
1585C4—42no—
1586C4—41no—
1587C4—42no—
1588C4—44no—
1589C4—44no—
1590C4—41no—
1591C4#345514yes—
1592C4#351814yes—
1593C2—81no—
1594C2—82no—
1595C2—82no—
1596C2C2×#345511yescharacteristic
1597C2C2×#351811yescharacteristic
1598C2#6285711yescharacteristic
1599C2#6292611yescharacteristic
1600C2#6293911yescharacteristic
1601C2#6295611yescharacteristic
1602C2#6296911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36492C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42901C2semidirect
2. #42900C2semidirect
3. #42835C2semidirect
4. #42832C2semidirect
5. #41478C2semidirect
6. #41463C2semidirect
7. #40859C2semidirect
8. #40827C2semidirect
9. #39515C2semidirect
10. #39509C2semidirect
11. #39505C2semidirect
12. #39502C2semidirect
13. #39157C2semidirect
14. #39156C2semidirect
15. #39153C2semidirect
16. #39152C2semidirect
17. #37637C2semidirect
18. #37627C2semidirect
19. #37582C2semidirect
20. #37573C2semidirect
21. #36563C2semidirect
22. #36562C2semidirect
23. #36505C2semidirect
25. #35945C2semidirect
26. #35880C2semidirect
27. #35804C2semidirect
28. #35710C2semidirect
29. #35336C2semidirect
30. #35283C2semidirect
31. #34619C2semidirect
32. #34619C2semidirect
33. #34328C2semidirect
34. #34317C2semidirect
35. #34125C2semidirect

Maximal subgroups

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

subgroupindex
#429012
#429002
#428352
#428322
#414782
#414632
#408592
#408272
#395152
#395092
#395052
#395022
#391572
#391562
#391532
#391522
#376372
#376272
#375822
#375732
#365632
#365622
#365052
#364922
#359452
#358802
#358042
#357102
#353362
#352832
#346192
#343282
#343172
#341252