Finite Group Databasebeta

← #7657598

Subgroups — #7657598

Order 512.

4341 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42767C212yesmaximal, complemented
2#42750C212yesmaximal, complemented
3#42552C212yesmaximal, complemented
4#42543C212yesmaximal, complemented
5#41587C214yesmaximal, complemented
6#41583C214yesmaximal, complemented
7#41576C214yesmaximal, complemented
8#41572C214yesmaximal, complemented
9#39643C211yesmaximal, characteristic, complemented
10#39633C211yesmaximal, characteristic, complemented
11#38931C211yesmaximal, characteristic, complemented
12#38930C211yesmaximal, characteristic, complemented
13#38075C212yesmaximal, complemented
14#38074C212yesmaximal, complemented
15#37899C212yesmaximal, complemented
16#37887C212yesmaximal, complemented
17#37638C211yesmaximal, characteristic, complemented
18#37628C211yesmaximal, characteristic, complemented
19#37511C212yesmaximal, complemented
20#37509C212yesmaximal, complemented
21#36411C211yesmaximal, characteristic
22#36405C211yesmaximal, characteristic, complemented
23#36194C211yesmaximal, characteristic, complemented
24#36185C211yesmaximal, characteristic, complemented
25#36050C212yesmaximal, complemented
26#36006C212yesmaximal, complemented
27#35901C212yesmaximal, complemented
28#35818C212yesmaximal, complemented
29#35283C211yesmaximal, characteristic, complemented
30#35270C212yesmaximal, complemented
31#34638C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34324C211yesmaximal, characteristic, complemented
34#34321C211yesmaximal, characteristic, complemented
35#34123C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2868C2211yescharacteristic
40#2862C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2212yes—
44#2855C2212yes—
45#2854C2212yes—
46#2850C2212yes—
47#2836C2214yes—
48#2835C2214yes—
49#2833C2214yes—
50#2827C2214yes—
51#2827C2214yes—
52#2824C2214yes—
53#2799C2214yes—
54#2790C2214yes—
55#2786C2214yes—
56#2778C2214yes—
57#2765C2214yes—
58#2764C2214yes—
59#2758C2214yes—
60#2756C2214yes—
61#2755C2214yes—
62#2751C2214yes—
63#2750C2214yes—
64#2750C2214yes—
65#2747C2214yes—
66#2745C2214yes—
67#2744C2214yes—
68#2743C2214yes—
69#2741C2214yes—
70#2738C2214yes—
71#2729C2214yes—
72#2707C2214yes—
73#2702C2214yes—
74#2698C2214yes—
75#2690C2214yes—
76#2687C2214yes—
77#2655C2214yes—
78#2654C2212yes—
79#2654C2214yes—
80#2653C2214yes—
81#2653C2212yes—
82#2652C2214yes—
83#2651C2214yes—
84#2650C2212yes—
85#2650C2214yes—
86#2650C2214yes—
87#2649C2212yes—
88#2647C2212yes—
89#2647C2212yes—
90#2647C2212yes—
91#2647C2212yes—
92#2647C2212yes—
93#2647C2211yescharacteristic
94#2647C2212yes—
95#2647C2212yes—
96#2647C2212yes—
97#2646C2214yes—
98#2646C2214yes—
99#2646C2214yes—
100#2646C2214yes—
101#2645C2212yes—
102#2645C2212yes—
103#2645C2211yescharacteristic
104#2644C2211yescharacteristic
105#2644C2212yes—
106#2640C2211yescharacteristic
107#2638C2214yes—
108#2636C2214yes—
109#2634C2214yes—
110#2628C2211yescharacteristic
111#2628C2212yes—
112#2625C2211yescharacteristic
113#2625C2212yes—
114#2624C2211yescharacteristic
115#2621C2212yes—
116#2620C2211yescharacteristic
117#2596C2214yes—
118#2595C2214yes—
119#2594C2214yes—
120#2593C2214yes—
121#2588C2214yes—
122#2582C2211yescharacteristic
123#2582C2212yes—
124#2575C2214yes—
125#2573C2214yes—
126#2571C2211yescharacteristic
127#2571C2211yescharacteristic
128#2570C2212yes—
129#2568C2212yes—
130#2567C2211yescharacteristic
131#2567C2211yescharacteristic
132#2563C2212yes—
133#2560C2214yes—
134#2546C2211yescharacteristic
135#2542C2211yescharacteristic
136#2538C2212yes—
137#2538C2211yescharacteristic
138#2536C2212yes—
139#2533C2214yes—
140#2532C2214yes—
141#2532C2214yes—
142#2532C2214yes—
143#2530C2214yes—
144#2529C2214yes—
145#2529C2214yes—
146#2527C2214yes—
147#2524C2214yes—
148#2524C2214yes—
149#2521C2214yes—
150#2521C2214yes—
151#2520C2214yes—
152#2520C2214yes—
153#2519C2214yes—
154#2515C2214yes—
155#2514C2212yes—
156#2514C2212yes—
157#2514C2214yes—
158#2513C2212yes—
159#2511C2212yes—
160#2511C2212yes—
161#2511C2212yes—
162#2510C2214yes—
163#2509C2212yes—
164#2508C2212yes—
165#2508C2212yes—
166#2507C2212yes—
167#2506C2212yes—
168#2506C2212yes—
169#2503C2212yes—
170#2502C2212yes—
171#2500C2212yes—
172#2499C2212yes—
173#2497C2212yes—
174#2497C2214yes—
175#2497C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2495C2212yes—
179#2492C2212yes—
180#2492C2212yes—
181#2492C2214yes—
182#2492C2212yes—
183#2489C2214yes—
184#2488C2214yes—
185#2485C2212yes—
186#2485C2212yes—
187#2478C2214yes—
188#2474C2214yes—
189#2468C2214yes—
190#2461C2214yes—
191#2452C2212yes—
192#2451C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2450C2214yes—
196#2447C2212yes—
197#2446C2212yes—
198#2440C2212yes—
199#2439C2212yes—
200#2439C2212yes—
201#2432C2212yes—
202#2429C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2423C2212yes—
206#2423C2212yes—
207#2422C2212yes—
208#2421C2212yes—
209#2421C2212yes—
210#2421C2212yes—
211#2420C2212yes—
212#2419C2214yes—
213#2417C2212yes—
214#2415C2212yes—
215#2414C2212yes—
216#2407C2212yes—
217#2402C2214yes—
218#2402C2214yes—
219#2402C2214yes—
220#2402C2214yes—
221#2401C2212yes—
222#2398C2212yes—
223#2396C2212yes—
224#2395C2212yes—
225#2373C2214yes—
226#2369C2211yescharacteristic
227#2369C2212yes—
228#2367C2212yes—
229#2367C2214yes—
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2363C2212yes—
233#2362C2212yes—
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2361C2212yes—
239#2356C2211yescharacteristic
240#2356C2211yescharacteristic
241#2355C2212yes—
242#2355C2212yes—
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2353C2212yes—
247#2353C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249#2349C2211yescharacteristic
250#2349C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252#2347C2212yes—
253#2347C2212yes—
254#2346C2212yes—
255#2346C2211yescharacteristic
256#2346C2211yescharacteristic
257#2343C2212yes—
258#2343C2212yes—
259#2339C2211yescharacteristic
260#2339C2211yescharacteristic
261#2337C2214yes—
262#2334C2214yes—
263#2331C2212yes—
264#2331C2212yes—
265#2326C2212yes—
266#2326C2212yes—
267#2324C2212yes—
268#2320C2212yes—
269#2319C2212yes—
270#2314C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#124C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279#2296C2212yes—
280#2296C2212yes—
281#2296C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2211yescharacteristic
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2290C2212yes—
289#2285C2212yes—
290#2285C2212yes—
291#2283C2211yescharacteristic
292#2283C2212yes—
293#2276C2212yes—
294#2274C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300#556—28no—
301#555—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×#125C2314yes—
312C2×#124C2311yescharacteristic
313C2×#124C2312yes—
314C2×#124C2314yes—
315C2×#123C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2311yescharacteristic
328C4×#41—28no—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C42C2312yes—
362C22×C42C2312yes—
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365#401C2314yes—
366#401C2314yes—
367#401C2312yes—
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#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2312yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2312yes—
482#393C2312yes—
483#393C2312yes—
484#392C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
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#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2312yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2312yes—
693#383C2312yes—
694#383C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2314yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#381C2314yes—
710#381C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2314yes—
714#381C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2312yes—
797#376C2312yes—
798#376C2312yes—
799#376C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2312yes—
804#376C2312yes—
805#376C2311yescharacteristic
806#376C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
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×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—82no—
846#126—216no—
847#126—84no—
848#125—84no—
849#124—28no—
850#124—216no—
851#124—24no—
852#123—84no—
853C22⋊Q8—28no—
854C22⋊Q8—44no—
855C22⋊Q8—42no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—84no—
860C22⋊Q8—84no—
861C22⋊Q8—82no—
862#121—28no—
863#121—28no—
864#121—42no—
865C4×Q8—24no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—82no—
874C4×D4—24no—
875C4×D4—28no—
876C4×D4—28no—
877C4×D4—24no—
878C4×D4—44no—
879C4×D4—42no—
880C4×D4—42no—
881C4×D4—42no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4—84no—
885C4×D4#4118yes—
886#117—28no—
887#117—28no—
888#117—24no—
889#117—28no—
890#117—28no—
891#117—24no—
892#117—42no—
893#117—44no—
894#117—44no—
895#117—44no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C42—28no—
1011C2×C42—24no—
1012C2×C42—28no—
1013C2×C42—44no—
1014C2×C42C2411yescharacteristic
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
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#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
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—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2512yes—
1142C24C2511yescharacteristic
1143C24C2512yes—
1144#41—416no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×D4—24no—
1164C2×D4—28no—
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—42no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4C2×#4114yes—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—41no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—41no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4C2×#4118yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4C2×#4114yes—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4C2×#4118yes—
1359C42—22no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—24no—
1365C42—28no—
1366C42—28no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—24no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—22no—
1381C42—42no—
1382C42—42no—
1383C42—41no—
1384C42—41no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—41no—
1392C42—44no—
1393C42—41no—
1394C42C2×#4114yes—
1395C422−1+414yes—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—21no—
1404C23—21no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—21no—
1409C23—21no—
1410C23—22no—
1411C23—21no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23—22no—
1416C23C22×#4114yes—
1417C23C2611yescharacteristic
1418Q8—48no—
1419Q8—44no—
1420Q8—44no—
1421Q8—84no—
1422Q8—84no—
1423Q8—164no—
1424D4—28no—
1425D4—48no—
1426D4—44no—
1427D4—88no—
1428D4—84no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—216no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—21no—
1516C2×C4—48no—
1517C2×C4—48no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—84no—
1522C2×C4—84no—
1523C2×C4—84no—
1524C2×C4—84no—
1525C2×C4—84no—
1526C2×C4—164no—
1527C2×C4C22×#4114yes—
1528C2×C4C22×#4112yes—
1529C2×C4C22×#4112yes—
1530C2×C4C22×#4112yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4C2×2−1+412yes—
1534C2×C4#58512yes—
1535C2×C4#58512yes—
1536C2×C4#58512yes—
1537C22—24no—
1538C22—24no—
1539C22—24no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—41no—
1545C22—42no—
1546C22—41no—
1547C22—42no—
1548C22—41no—
1549C22—42no—
1550C22—41no—
1551C22—42no—
1552C22—41no—
1553C22—42no—
1554C22—41no—
1555C22—42no—
1556C22—42no—
1557C22—41no—
1558C22C23×#4111yescharacteristic
1559C22C22×2−1+411yescharacteristic
1560C22C2×#58511yescharacteristic
1561C22C2×#58511yescharacteristic
1562C22C2×#58511yescharacteristic
1563C22H(7,𝔽2)11yescharacteristic
1564C222−1+611yescharacteristic
1565C4—24no—
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—41no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—41no—
1574C4—44no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—41no—
1580C4—42no—
1581C4—42no—
1582C4—41no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—42no—
1587C4—44no—
1588C4—41no—
1589C4—42no—
1590C4—41no—
1591C4—42no—
1592C4—44no—
1593C4—44no—
1594C4—41no—
1595C4#345514yes—
1596C4#351514yes—
1597C2—44no—
1598C2—81no—
1599C2—82no—
1600C2C2×#345511yescharacteristic
1601C2C2×#351511yescharacteristic
1602C2#6285711yescharacteristic
1603C2#6292911yescharacteristic
1604C2#6293611yescharacteristic
1605C2#6295911yescharacteristic
1606C2#6296611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36411C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42767C2semidirect
2. #42750C2semidirect
3. #42552C2semidirect
4. #42543C2semidirect
5. #41587C2semidirect
6. #41583C2semidirect
7. #41576C2semidirect
8. #41572C2semidirect
9. #39643C2semidirect
10. #39633C2semidirect
11. #38931C2semidirect
12. #38930C2semidirect
13. #38075C2semidirect
14. #38074C2semidirect
15. #37899C2semidirect
16. #37887C2semidirect
17. #37638C2semidirect
18. #37628C2semidirect
19. #37511C2semidirect
20. #37509C2semidirect
22. #36405C2semidirect
23. #36194C2semidirect
24. #36185C2semidirect
25. #36050C2semidirect
26. #36006C2semidirect
27. #35901C2semidirect
28. #35818C2semidirect
29. #35283C2semidirect
30. #35270C2semidirect
31. #34638C2semidirect
32. #34619C2semidirect
33. #34324C2semidirect
34. #34321C2semidirect
35. #34123C2semidirect

Maximal subgroups

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

subgroupindex
#427672
#427502
#425522
#425432
#415872
#415832
#415762
#415722
#396432
#396332
#389312
#389302
#380752
#380742
#378992
#378872
#376382
#376282
#375112
#375092
#364112
#364052
#361942
#361852
#360502
#360062
#359012
#358182
#352832
#352702
#346382
#346192
#343242
#343212
#341232