Finite Group Databasebeta

← #7654404

Subgroups — #7654404

Order 512.

4435 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42767C212yesmaximal, complemented
2#42631C212yesmaximal, complemented
3#41488C214yesmaximal, complemented
4#41481C214yesmaximal, complemented
5#40081C212yesmaximal, complemented
6#40066C214yesmaximal, complemented
7#39761C211yesmaximal, characteristic, complemented
8#39734C211yesmaximal, characteristic, complemented
9#39481C211yesmaximal, characteristic, complemented
10#39035C212yesmaximal, complemented
11#39019C214yesmaximal, complemented
12#38984C211yesmaximal, characteristic, complemented
13#38117C212yesmaximal, complemented
14#38075C212yesmaximal, complemented
15#38063C212yesmaximal, complemented
16#37897C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37499C212yesmaximal, complemented
19#36554C212yesmaximal, complemented
20#36484C212yesmaximal, complemented
21#36406C211yesmaximal, characteristic, complemented
22#36405C211yesmaximal, characteristic, complemented
23#36404C211yesmaximal, characteristic
24#36194C211yesmaximal, characteristic, complemented
25#35804C212yesmaximal, complemented
26#35789C212yesmaximal, complemented
27#35283C211yesmaximal, characteristic, complemented
28#35187C211yesmaximal, characteristic, complemented
29#35162C212yesmaximal, complemented
30#35015C212yesmaximal, complemented
31#34974C211yesmaximal, characteristic, complemented
32#34816C212yesmaximal, complemented
33#34316C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2868C2211yescharacteristic
40#2865C2214yes—
41#2864C2212yes—
42#2863C2214yes—
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2857C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2855C2212yes—
50#2855C2212yes—
51#2836C2214yes—
52#2827C2214yes—
53#2824C2214yes—
54#2793C2214yes—
55#2786C2214yes—
56#2773C2214yes—
57#2767C2214yes—
58#2766C2214yes—
59#2765C2214yes—
60#2764C2214yes—
61#2762C2214yes—
62#2761C2214yes—
63#2756C2214yes—
64#2751C2214yes—
65#2747C2214yes—
66#2747C2214yes—
67#2747C2214yes—
68#2745C2214yes—
69#2744C2214yes—
70#2741C2214yes—
71#2741C2214yes—
72#2741C2214yes—
73#2740C2214yes—
74#2737C2214yes—
75#2730C2214yes—
76#2723C2214yes—
77#2716C2214yes—
78#2655C2214yes—
79#2654C2214yes—
80#2653C2214yes—
81#2653C2214yes—
82#2653C2214yes—
83#2652C2214yes—
84#2652C2214yes—
85#2648C2214yes—
86#2647C2212yes—
87#2647C2212yes—
88#2646C2214yes—
89#2645C2212yes—
90#2644C2212yes—
91#2640C2212yes—
92#2628C2212yes—
93#2627C2214yes—
94#2625C2212yes—
95#2624C2212yes—
96#2621C2212yes—
97#2621C2212yes—
98#2596C2214yes—
99#2596C2214yes—
100#2595C2214yes—
101#2590C2214yes—
102#2590C2214yes—
103#2589C2214yes—
104#2588C2214yes—
105#2588C2214yes—
106#2585C2214yes—
107#2585C2214yes—
108#2582C2211yescharacteristic
109#2581C2212yes—
110#2577C2214yes—
111#2574C2214yes—
112#2571C2211yescharacteristic
113#2571C2211yescharacteristic
114#2570C2212yes—
115#2568C2211yescharacteristic
116#2568C2212yes—
117#2563C2212yes—
118#2553C2214yes—
119#2553C2214yes—
120#2546C2211yescharacteristic
121#2546C2211yescharacteristic
122#2542C2211yescharacteristic
123#2538C2211yescharacteristic
124#2538C2212yes—
125#2536C2212yes—
126#2532C2214yes—
127#2532C2212yes—
128#2529C2212yes—
129#2528C2214yes—
130#2524C2214yes—
131#2524C2214yes—
132#2524C2214yes—
133#2523C2214yes—
134#2523C2214yes—
135#2523C2214yes—
136#2522C2214yes—
137#2521C2214yes—
138#2520C2214yes—
139#2518C2214yes—
140#2518C2214yes—
141#2517C2214yes—
142#2514C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2514C2212yes—
146#2514C2214yes—
147#2513C2212yes—
148#2513C2212yes—
149#2512C2211yescharacteristic
150#2512C2212yes—
151#2511C2212yes—
152#2511C2212yes—
153#2511C2212yes—
154#2511C2212yes—
155#2510C2214yes—
156#2510C2214yes—
157#2508C2212yes—
158#2508C2211yescharacteristic
159#2507C2212yes—
160#2507C2212yes—
161#2507C2212yes—
162#2499C2212yes—
163#2499C2212yes—
164#2499C2212yes—
165#2497C2214yes—
166#2496C2212yes—
167#2495C2212yes—
168#2495C2211yescharacteristic
169#2494C2212yes—
170#2492C2212yes—
171#2492C2212yes—
172#2492C2214yes—
173#2492C2212yes—
174#2491C2211yescharacteristic
175#2485C2212yes—
176#2481C2214yes—
177#2481C2214yes—
178#2479C2212yes—
179#2478C2214yes—
180#2474C2212yes—
181#2470C2214yes—
182#2468C2214yes—
183#2457C2214yes—
184#2451C2212yes—
185#2451C2212yes—
186#2451C2211yescharacteristic
187#2451C2212yes—
188#2448C2211yescharacteristic
189#2447C2212yes—
190#2446C2212yes—
191#2446C2212yes—
192#2446C2212yes—
193#2439C2212yes—
194#2439C2212yes—
195#2439C2212yes—
196#2432C2212yes—
197#2432C2212yes—
198#2429C2212yes—
199#2427C2212yes—
200#2427C2212yes—
201#2426C2211yescharacteristic
202#2423C2211yescharacteristic
203#2423C2212yes—
204#2423C2212yes—
205#2423C2212yes—
206#2421C2212yes—
207#2420C2212yes—
208#2415C2212yes—
209#2415C2212yes—
210#2415C2212yes—
211#2407C2212yes—
212#2407C2212yes—
213#2401C2214yes—
214#2401C2214yes—
215#2396C2212yes—
216#2395C2212yes—
217#2374C2214yes—
218#2373C2214yes—
219#2369C2212yes—
220#2367C2212yes—
221#2365C2211yescharacteristic
222#2365C2212yes—
223#2365C2211yescharacteristic
224#2363C2212yes—
225#2362C2212yes—
226#2362C2212yes—
227#2362C2212yes—
228#2360C2212yes—
229#2360C2212yes—
230#2360C2212yes—
231#2356C2212yes—
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic
238#2354C2211yescharacteristic
239#2352C2212yes—
240#2352C2212yes—
241#2352C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2211yescharacteristic
244#2347C2211yescharacteristic
245#2347C2211yescharacteristic
246#2347C2212yes—
247#2345C2212yes—
248#2343C2212yes—
249#2343C2212yes—
250#2341C2212yes—
251#2339C2211yescharacteristic
252#2339C2211yescharacteristic
253#2335C2214yes—
254#2331C2212yes—
255#2331C2212yes—
256#2329C2214yes—
257#2327C2212yes—
258#2324C2212yes—
259#2323C2212yes—
260#2320C2212yes—
261#2320C2212yes—
262#2314C2212yes—
263#2314C2212yes—
264#2313C2214yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×#126C2214yes—
269C4×#126C2214yes—
270C4×#126C2214yes—
271C4×#126C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×#121C2211yescharacteristic
279#2297C2212yes—
280#2297C2212yes—
281#2297C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2290C2212yes—
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2283C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#556—28no—
302#547—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#124C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C4×#41—28no—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C42C2312yes—
365C22×C42C2311yescharacteristic
366C22×C42C2312yes—
367C22×C42C2312yes—
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
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#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2312yes—
395#399C2314yes—
396#399C2312yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2312yes—
447#394C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2312yes—
463#392C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2312yes—
682#383C2314yes—
683#383C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#383C2312yes—
689#383C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#381C2314yes—
706#381C2314yes—
707#381C2312yes—
708#381C2312yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2314yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C43C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—28no—
815C2×#41—42no—
816C2×#41—42no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—42no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850#126—28no—
851#126—216no—
852#126—48no—
853#124—28no—
854#124—42no—
855#124—44no—
856#123—216no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—42no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—48no—
866#121—28no—
867#121—42no—
868C4×Q8—24no—
869C4×Q8—28no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—42no—
878C4×Q8—44no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—42no—
884C4×D4—42no—
885C4×D4—42no—
886C4×D4—42no—
887C4×D4—44no—
888C4×D4#4118yes—
889#117—28no—
890#117—24no—
891#117—24no—
892#117—28no—
893#117—44no—
894#117—44no—
895#117—42no—
896#117—44no—
897#117—44no—
898#117—44no—
899C2×C4⋊C4—28no—
900C2×C4⋊C4—28no—
901C2×C4⋊C4—44no—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C42—28no—
1016C2×C42—24no—
1017C2×C42—44no—
1018C2×C42—44no—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2414yes—
1072#95C2414yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146C24C2511yescharacteristic
1147C24C2512yes—
1148C24C2512yes—
1149#41—416no—
1150#41—816no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×D4—24no—
1170C2×D4—28no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4C2×#4114yes—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—28no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4C2×#4118yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2514yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—41no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4C2×#4114yes—
1321C4⋊C42−1+414yes—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—22no—
1334C22⋊C4—24no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—41no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4C2×#4118yes—
1365C42—22no—
1366C42—24no—
1367C42—22no—
1368C42—22no—
1369C42—24no—
1370C42—24no—
1371C42—28no—
1372C42—24no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—22no—
1381C42—24no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—24no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—42no—
1390C42—42no—
1391C42—42no—
1392C42—42no—
1393C42—41no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—42no—
1403C42—42no—
1404C42—44no—
1405C42C2×#4114yes—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—21no—
1413C23—22no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—21no—
1418C23—22no—
1419C23—21no—
1420C23—22no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23C22×#4114yes—
1427C23C2611yescharacteristic
1428Q8—48no—
1429Q8—44no—
1430Q8—44no—
1431Q8—48no—
1432Q8—84no—
1433Q8—164no—
1434D4—28no—
1435D4—48no—
1436D4—44no—
1437D4—88no—
1438D4—84no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—216no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—44no—
1525C2×C4—48no—
1526C2×C4—48no—
1527C2×C4—48no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—84no—
1531C2×C4—84no—
1532C2×C4—84no—
1533C2×C4—88no—
1534C2×C4—84no—
1535C2×C4C22×#4114yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4112yes—
1538C2×C4C22×#4112yes—
1539C2×C4C2×2−1+412yes—
1540C2×C4C2×2−1+412yes—
1541C2×C4C2×2−1+412yes—
1542C2×C4#58512yes—
1543C2×C4#58512yes—
1544C2×C4#58512yes—
1545C2×C4#58512yes—
1546C2×C4#58512yes—
1547C22—24no—
1548C22—24no—
1549C22—24no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—41no—
1556C22—41no—
1557C22—42no—
1558C22—42no—
1559C22—41no—
1560C22—41no—
1561C22—42no—
1562C22—42no—
1563C22—41no—
1564C22—41no—
1565C22—42no—
1566C22—41no—
1567C22—42no—
1568C22C23×#4111yescharacteristic
1569C22C22×2−1+411yescharacteristic
1570C22C2×#58511yescharacteristic
1571C22C2×#58511yescharacteristic
1572C22C2×#58511yescharacteristic
1573C22C2×#58511yescharacteristic
1574C22C2×#58511yescharacteristic
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—24no—
1579C4—22no—
1580C4—22no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—41no—
1589C4—42no—
1590C4—41no—
1591C4—42no—
1592C4—41no—
1593C4—44no—
1594C4—42no—
1595C4—41no—
1596C4—44no—
1597C4—44no—
1598C4—41no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4—44no—
1605C4#345514yes—
1606C4#352114yes—
1607C2—44no—
1608C2—81no—
1609C2—82no—
1610C2C2×#345511yescharacteristic
1611C2C2×#352111yescharacteristic
1612C2#6280511yescharacteristic
1613C2#6302511yescharacteristic
1614C2#6302811yescharacteristic
1615C2#6303411yescharacteristic
1616C2#6303611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36404C2
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. #42631C2semidirect
3. #41488C2semidirect
4. #41481C2semidirect
5. #40081C2semidirect
6. #40066C2semidirect
7. #39761C2semidirect
8. #39734C2semidirect
9. #39481C2semidirect
10. #39035C2semidirect
11. #39019C2semidirect
12. #38984C2semidirect
13. #38117C2semidirect
14. #38075C2semidirect
15. #38063C2semidirect
16. #37897C2semidirect
17. #37628C2semidirect
18. #37499C2semidirect
19. #36554C2semidirect
20. #36484C2semidirect
21. #36406C2semidirect
22. #36405C2semidirect
24. #36194C2semidirect
25. #35804C2semidirect
26. #35789C2semidirect
27. #35283C2semidirect
28. #35187C2semidirect
29. #35162C2semidirect
30. #35015C2semidirect
31. #34974C2semidirect
32. #34816C2semidirect
33. #34316C2semidirect
34. C4×#556C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#427672
#426312
#414882
#414812
#400812
#400662
#397612
#397342
#394812
#390352
#390192
#389842
#381172
#380752
#380632
#378972
#376282
#374992
#365542
#364842
#364062
#364052
#364042
#361942
#358042
#357892
#352832
#351872
#351622
#350152
#349742
#348162
#343162
C4×#5562
#341272