Finite Group Databasebeta

← #7689604

Subgroups — #7689604

Order 512.

4574 conjugacy classes of subgroups.

The subgroup lattice has 1613 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59749C212yesmaximal, complemented
2#59748C214yesmaximal, complemented
3#59709C212yesmaximal, complemented
4#59508C212yesmaximal, complemented
5#59464C211yesmaximal, characteristic, complemented
6#59390C212yesmaximal
7#59065C211yesmaximal, characteristic, complemented
8#59055C211yesmaximal, characteristic, complemented
9#45397C212yesmaximal, complemented
10#45225C212yesmaximal, complemented
11#44560C214yesmaximal, complemented
12#43603C214yesmaximal, complemented
13#39787C212yesmaximal, complemented
14#39734C211yesmaximal, characteristic, complemented
15#39249C212yesmaximal, complemented
16#39203C211yesmaximal, characteristic, complemented
17#38673C214yesmaximal, complemented
18#38217C212yesmaximal, complemented
19#36561C211yesmaximal, characteristic, complemented
20#36556C211yesmaximal, characteristic, complemented
21#36480C211yesmaximal, characteristic, complemented
22#36475C212yesmaximal, complemented
23#36408C212yesmaximal, complemented
24#36314C212yesmaximal, complemented
25#36301C211yesmaximal, characteristic, complemented
26#36151C211yesmaximal, characteristic, complemented
27#35803C212yesmaximal, complemented
28#35773C212yesmaximal, complemented
29#34915C212yesmaximal, complemented
30#34797C211yesmaximal, characteristic
31#34322C211yesmaximal, characteristic, complemented
32#34317C212yesmaximal, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35#34154C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2212yes—
38C2×#552C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41#2864C2214yes—
42#2864C2212yes—
43#2864C2212yes—
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2808C2214yes—
50#2798C2214yes—
51#2798C2214yes—
52#2798C2214yes—
53#2795C2214yes—
54#2793C2214yes—
55#2789C2214yes—
56#2787C2214yes—
57#2781C2214yes—
58#2774C2214yes—
59#2773C2214yes—
60#2772C2214yes—
61#2766C2214yes—
62#2766C2214yes—
63#2757C2214yes—
64#2754C2214yes—
65#2754C2214yes—
66#2753C2214yes—
67#2747C2214yes—
68#2723C2214yes—
69#2721C2214yes—
70#2663C2214yes—
71#2649C2214yes—
72#2625C2212yes—
73#2621C2212yes—
74#2605C2214yes—
75#2604C2214yes—
76#2602C2214yes—
77#2597C2214yes—
78#2596C2214yes—
79#2596C2214yes—
80#2595C2214yes—
81#2594C2214yes—
82#2594C2214yes—
83#2593C2214yes—
84#2588C2214yes—
85#2588C2214yes—
86#2585C2214yes—
87#2573C2214yes—
88#2571C2212yes—
89#2571C2211yescharacteristic
90#2570C2214yes—
91#2570C2212yes—
92#2570C2212yes—
93#2570C2214yes—
94#2568C2212yes—
95#2567C2211yescharacteristic
96#2564C2214yes—
97#2563C2211yescharacteristic
98#2560C2214yes—
99#2556C2214yes—
100#2556C2214yes—
101#2551C2211yescharacteristic
102#2550C2212yes—
103#2546C2211yescharacteristic
104#2542C2211yescharacteristic
105#2542C2212yes—
106#2536C2212yes—
107#2533C2214yes—
108#2533C2214yes—
109#2531C2212yes—
110#2530C2214yes—
111#2530C2214yes—
112#2529C2212yes—
113#2529C2214yes—
114#2529C2214yes—
115#2528C2214yes—
116#2527C2214yes—
117#2525C2214yes—
118#2524C2214yes—
119#2520C2214yes—
120#2519C2214yes—
121#2518C2212yes—
122#2518C2214yes—
123#2517C2214yes—
124#2515C2214yes—
125#2514C2212yes—
126#2513C2212yes—
127#2513C2212yes—
128#2512C2211yescharacteristic
129#2511C2214yes—
130#2511C2212yes—
131#2509C2214yes—
132#2509C2212yes—
133#2509C2212yes—
134#2509C2212yes—
135#2508C2212yes—
136#2508C2214yes—
137#2508C2212yes—
138#2507C2212yes—
139#2507C2214yes—
140#2507C2211yescharacteristic
141#2506C2214yes—
142#2506C2212yes—
143#2500C2211yescharacteristic
144#2499C2214yes—
145#2497C2212yes—
146#2495C2212yes—
147#2495C2211yescharacteristic
148#2494C2212yes—
149#2494C2212yes—
150#2494C2212yes—
151#2492C2212yes—
152#2492C2212yes—
153#2490C2211yescharacteristic
154#2489C2212yes—
155#2489C2212yes—
156#2489C2212yes—
157#2489C2212yes—
158#2485C2212yes—
159#2485C2211yescharacteristic
160#2479C2214yes—
161#2478C2214yes—
162#2477C2214yes—
163#2469C2214yes—
164#2467C2212yes—
165#2465C2214yes—
166#2453C2212yes—
167#2453C2212yes—
168#2453C2212yes—
169#2452C2212yes—
170#2451C2212yes—
171#2448C2212yes—
172#2448C2212yes—
173#2446C2212yes—
174#2446C2212yes—
175#2441C2212yes—
176#2441C2211yescharacteristic
177#2439C2212yes—
178#2429C2212yes—
179#2426C2212yes—
180#2426C2212yes—
181#2423C2212yes—
182#2421C2212yes—
183#2421C2212yes—
184#2421C2212yes—
185#2421C2212yes—
186#2420C2212yes—
187#2417C2212yes—
188#2415C2212yes—
189#2415C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2414C2211yescharacteristic
193#2401C2214yes—
194#2395C2214yes—
195#2395C2212yes—
196#2392C2212yes—
197#2373C2214yes—
198#2373C2212yes—
199#2371C2212yes—
200#2371C2214yes—
201#2370C2214yes—
202#2370C2212yes—
203#2370C2211yescharacteristic
204#2370C2212yes—
205#2369C2212yes—
206#2369C2211yescharacteristic
207#2369C2211yescharacteristic
208#2367C2212yes—
209#2365C2211yescharacteristic
210#2365C2211yescharacteristic
211#2365C2212yes—
212#2365C2211yescharacteristic
213#2365C2211yescharacteristic
214#2365C2212yes—
215#2365C2211yescharacteristic
216#2362C2214yes—
217#2362C2212yes—
218#2362C2212yes—
219#2362C2214yes—
220#2362C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2362C2212yes—
225#2362C2211yescharacteristic
226#2360C2212yes—
227#2360C2212yes—
228#2360C2211yescharacteristic
229#2359C2212yes—
230#2357C2214yes—
231#2356C2211yescharacteristic
232#2356C2214yes—
233#2355C2212yes—
234#2355C2214yes—
235#2355C2211yescharacteristic
236#2355C2212yes—
237#2354C2212yes—
238#2352C2211yescharacteristic
239#2352C2212yes—
240#2351C2212yes—
241#2351C2212yes—
242#2351C2212yes—
243#2351C2212yes—
244Q8×C4⋊C4C2212yes—
245Q8×C4⋊C4C2212yes—
246D4×C4⋊C4C2211yescharacteristic
247#2347C2212yes—
248#2346C2212yes—
249#2346C2211yescharacteristic
250#2344C2211yescharacteristic
251#2344C2212yes—
252#2343C2212yes—
253#2334C2214yes—
254#2332C2214yes—
255#2332C2214yes—
256#2329C2214yes—
257#2323C2212yes—
258#2323C2212yes—
259#2323C2212yes—
260#2317C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×#125C2214yes—
264C4×#125C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×#126C2212yes—
270C4×#124C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2298C2214yes—
280#2298C2214yes—
281#2295C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2293C2214yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2285C2211yescharacteristic
289#2274C2212yes—
290#2274C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#556—28no—
300#554—216no—
301#552—28no—
302#533—28no—
303#533—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#123C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2314yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2312yes—
377#401C2314yes—
378#401C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#399C2314yes—
399#399C2312yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2312yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2312yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#394C2312yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2312yes—
449#394C2312yes—
450#394C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#392C2312yes—
455#391C2314yes—
456#391C2312yes—
457#391C2314yes—
458#391C2312yes—
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#390C2314yes—
481#390C2312yes—
482#390C2312yes—
483#390C2314yes—
484#390C2312yes—
485#390C2311yescharacteristic
486#390C2312yes—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#389C2312yes—
491#389C2314yes—
492#389C2312yes—
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
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#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#384C2312yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2314yes—
676#384C2314yes—
677#384C2311yescharacteristic
678#383C2312yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2314yes—
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#382C2314yes—
692#382C2314yes—
693#382C2312yes—
694#382C2314yes—
695#382C2312yes—
696#382C2314yes—
697#382C2314yes—
698#382C2312yes—
699#381C2314yes—
700#381C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2314yes—
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809C2×#95C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2314yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C4⋊Q8—28no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8#4118yes—
840#126—28no—
841#126—216no—
842#126—44no—
843#125—28no—
844#125—28no—
845#125—28no—
846#125—24no—
847#125—216no—
848#125—24no—
849#124—28no—
850#123—28no—
851C22⋊Q8—28no—
852C22⋊Q8—28no—
853C22⋊Q8—24no—
854C22⋊Q8—216no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—24no—
859C22⋊Q8—216no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864#121—24no—
865#121—42no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—48no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×D4—24no—
882C4×D4—216no—
883C4×D4—28no—
884C4×D4—24no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—42no—
888C4×D4—42no—
889#117—28no—
890#117—28no—
891#117—28no—
892#117—24no—
893#117—28no—
894#117—24no—
895#117—44no—
896#117—44no—
897#117—44no—
898#117—48no—
899#117—42no—
900#117—42no—
901C2×C4⋊C4—28no—
902C2×C4⋊C4—42no—
903C2×C4⋊C4#4118yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C42—24no—
1021C2×C42—24no—
1022C2×C42—44no—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151C24C2511yescharacteristic
1152C24C2512yes—
1153C24C2511yescharacteristic
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—28no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—22no—
1164C2×Q8—44no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—42no—
1168C2×Q8C2×#4118yes—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—24no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—28no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—41no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—42no—
1209C22×C4C2×#4114yes—
1210C22×C4C2×#4118yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—28no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—28no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—28no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—41no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4C2×#4114yes—
1314C4⋊C4C2×#4114yes—
1315C4⋊C4C2×#4118yes—
1316C4⋊C4C2×#4118yes—
1317C4⋊C4C2×#4118yes—
1318C4⋊C42−1+414yes—
1319C22⋊C4—22no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—24no—
1329C22⋊C4—22no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—22no—
1336C22⋊C4—24no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—41no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—24no—
1366C42—28no—
1367C42—28no—
1368C42—28no—
1369C42—24no—
1370C42—28no—
1371C42—22no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—28no—
1376C42—24no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—22no—
1385C42—24no—
1386C42—42no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—41no—
1391C42—42no—
1392C42—42no—
1393C42—44no—
1394C42—42no—
1395C42—42no—
1396C42—41no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C42—42no—
1404C42C2×#4114yes—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—21no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—22no—
1418C23—21no—
1419C23—22no—
1420C23—21no—
1421C23—21no—
1422C23—22no—
1423C23—22no—
1424C23—21no—
1425C23C22×#4112yes—
1426C23C2611yescharacteristic
1427Q8—216no—
1428Q8—44no—
1429Q8—48no—
1430Q8—84no—
1431Q8—88no—
1432D4—48no—
1433D4—44no—
1434D4—44no—
1435D4—84no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—28no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—48no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—48no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—82no—
1527C2×C4—88no—
1528C2×C4—84no—
1529C2×C4C22×#4114yes—
1530C2×C4C22×#4118yes—
1531C2×C4C22×#4112yes—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4114yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4112yes—
1536C2×C4C22×#4112yes—
1537C2×C4C2×2−1+414yes—
1538C2×C4C2×2−1+412yes—
1539C2×C4#58512yes—
1540C2×C4#58512yes—
1541C2×C4#58512yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—42no—
1550C22—41no—
1551C22—41no—
1552C22—42no—
1553C22—41no—
1554C22—42no—
1555C22—41no—
1556C22—42no—
1557C22—42no—
1558C22—41no—
1559C22—41no—
1560C22—42no—
1561C22—41no—
1562C22—42no—
1563C22C23×#4111yescharacteristic
1564C22C23×#4111yescharacteristic
1565C22C22×2−1+411yescharacteristic
1566C22C2×#58511yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22C2×#58511yescharacteristic
1569C222−1+611yescharacteristic
1570C4—24no—
1571C4—22no—
1572C4—22no—
1573C4—28no—
1574C4—24no—
1575C4—24no—
1576C4—22no—
1577C4—41no—
1578C4—42no—
1579C4—42no—
1580C4—41no—
1581C4—44no—
1582C4—42no—
1583C4—42no—
1584C4—41no—
1585C4—42no—
1586C4—41no—
1587C4—41no—
1588C4—44no—
1589C4—41no—
1590C4—42no—
1591C4—41no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—41no—
1597C4—42no—
1598C4—42no—
1599C4—44no—
1600C4#348014yes—
1601C4#351514yes—
1602C2—42no—
1603C2—82no—
1604C2—81no—
1605C2C2×#348011yescharacteristic
1606C2C2×#351511yescharacteristic
1607C2#6278111yescharacteristic
1608C2#6293611yescharacteristic
1609C2#6299811yescharacteristic
1610C2#6300511yescharacteristic
1611C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59749C2semidirect
2. #59748C2semidirect
3. #59709C2semidirect
4. #59508C2semidirect
5. #59464C2semidirect
7. #59065C2semidirect
8. #59055C2semidirect
9. #45397C2semidirect
10. #45225C2semidirect
11. #44560C2semidirect
12. #43603C2semidirect
13. #39787C2semidirect
14. #39734C2semidirect
15. #39249C2semidirect
16. #39203C2semidirect
17. #38673C2semidirect
18. #38217C2semidirect
19. #36561C2semidirect
20. #36556C2semidirect
21. #36480C2semidirect
22. #36475C2semidirect
23. #36408C2semidirect
24. #36314C2semidirect
25. #36301C2semidirect
26. #36151C2semidirect
27. #35803C2semidirect
28. #35773C2semidirect
29. #34915C2semidirect
31. #34322C2semidirect
32. #34317C2semidirect
33. #34213C2semidirect
34. C4×#552C2semidirect
35. #34154C2semidirect

Maximal subgroups

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

subgroupindex
#597492
#597482
#597092
#595082
#594642
#593902
#590652
#590552
#453972
#452252
#445602
#436032
#397872
#397342
#392492
#392032
#386732
#382172
#365612
#365562
#364802
#364752
#364082
#363142
#363012
#361512
#358032
#357732
#349152
#347972
#343222
#343172
#342132
C4×#5522
#341542