Finite Group Databasebeta

← #7693783

Subgroups — #7693783

Order 512.

4629 conjugacy classes of subgroups.

The subgroup lattice has 1645 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59939C214yesmaximal, complemented
2#59872C212yesmaximal, complemented
3#59694C212yesmaximal, complemented
4#59445C211yesmaximal, characteristic, complemented
5#59393C212yesmaximal, complemented
6#59305C211yesmaximal, characteristic, complemented
7#59214C212yesmaximal, complemented
8#59214C211yesmaximal, characteristic, complemented
9#44942C212yesmaximal, complemented
10#44942C212yesmaximal, complemented
11#44721C214yesmaximal, complemented
12#43139C214yesmaximal, complemented
13#39965C214yesmaximal, complemented
14#39664C212yesmaximal, complemented
15#39661C212yesmaximal, complemented
16#39598C211yesmaximal, characteristic, complemented
17#39598C211yesmaximal, characteristic, complemented
18#39494C212yesmaximal, complemented
19#36553C212yesmaximal, complemented
20Q8×#125C211yesmaximal, characteristic, complemented
21#36477C212yesmaximal, complemented
22#36477C211yesmaximal, characteristic, complemented
23#36477C212yesmaximal, complemented
24#36287C211yesmaximal, characteristic, complemented
25#36193C211yesmaximal, characteristic, complemented
26#36189C211yesmaximal, characteristic, complemented
27#36039C212yesmaximal, complemented
28#35708C212yesmaximal, complemented
29#34929C211yesmaximal, characteristic, complemented
30#34772C212yesmaximal, complemented
31#34319C212yesmaximal
32#34214C211yesmaximal, characteristic, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40#2859C2212yes—
41#2859C2211yescharacteristic
42#2859C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2214yes—
46#2855C2212yes—
47#2855C2212yes—
48#2802C2214yes—
49#2802C2214yes—
50#2791C2214yes—
51#2790C2214yes—
52#2790C2214yes—
53#2790C2214yes—
54#2780C2214yes—
55#2780C2214yes—
56#2780C2214yes—
57#2780C2214yes—
58#2780C2214yes—
59#2774C2214yes—
60#2748C2214yes—
61#2748C2214yes—
62#2713C2214yes—
63#2704C2214yes—
64#2704C2214yes—
65#2704C2214yes—
66#2704C2214yes—
67#2683C2214yes—
68#2683C2214yes—
69#2667C2214yes—
70#2666C2214yes—
71#2629C2212yes—
72#2629C2212yes—
73#2612C2214yes—
74#2608C2214yes—
75#2608C2214yes—
76#2608C2214yes—
77#2608C2214yes—
78#2606C2214yes—
79#2590C2214yes—
80#2588C2214yes—
81#2587C2214yes—
82#2587C2214yes—
83#2587C2214yes—
84#2587C2214yes—
85#2587C2214yes—
86#2587C2214yes—
87#2587C2214yes—
88#2587C2214yes—
89#2587C2214yes—
90#2585C2214yes—
91#2585C2214yes—
92#2585C2214yes—
93#2584C2212yes—
94#2584C2212yes—
95#2579C2214yes—
96#2574C2214yes—
97#2570C2212yes—
98#2570C2212yes—
99#2570C2212yes—
100#2570C2214yes—
101#2567C2211yescharacteristic
102#2567C2211yescharacteristic
103#2566C2214yes—
104#2566C2212yes—
105#2566C2214yes—
106#2566C2212yes—
107#2566C2212yes—
108#2556C2212yes—
109#2556C2212yes—
110#2556C2214yes—
111#2552C2212yes—
112#2552C2211yescharacteristic
113#2552C2211yescharacteristic
114#2552C2212yes—
115#2552C2212yes—
116#2551C2211yescharacteristic
117#2546C2211yescharacteristic
118#2542C2211yescharacteristic
119#2538C2212yes—
120#2538C2211yescharacteristic
121#2538C2211yescharacteristic
122#2538C2212yes—
123#2538C2212yes—
124#2538C2212yes—
125#2538C2212yes—
126#2538C2211yescharacteristic
127#2522C2214yes—
128#2522C2214yes—
129#2522C2214yes—
130#2520C2214yes—
131#2520C2214yes—
132#2511C2212yes—
133#2511C2212yes—
134#2511C2212yes—
135#2509C2214yes—
136#2509C2212yes—
137#2508C2212yes—
138#2508C2212yes—
139#2507C2212yes—
140#2507C2214yes—
141#2507C2214yes—
142#2507C2212yes—
143#2507C2212yes—
144#2507C2214yes—
145#2507C2212yes—
146#2507C2212yes—
147#2506C2212yes—
148#2506C2212yes—
149#2506C2212yes—
150#2505C2214yes—
151#2505C2214yes—
152#2502C2212yes—
153#2497C2212yes—
154#2497C2214yes—
155#2497C2212yes—
156#2497C2212yes—
157#2497C2212yes—
158#2497C2212yes—
159#2497C2214yes—
160#2492C2211yescharacteristic
161#2492C2211yescharacteristic
162#2487C2212yes—
163#2487C2212yes—
164#2462C2214yes—
165#2462C2214yes—
166#2452C2212yes—
167#2450C2214yes—
168#2450C2214yes—
169#2446C2212yes—
170#2442C2212yes—
171#2442C2212yes—
172#2442C2212yes—
173#2441C2214yes—
174#2441C2212yes—
175#2441C2212yes—
176#2441C2212yes—
177#2440C2212yes—
178#2440C2212yes—
179#2438C2214yes—
180#2429C2211yescharacteristic
181#2429C2212yes—
182#2429C2212yes—
183#2429C2212yes—
184#2429C2211yescharacteristic
185#2429C2214yes—
186#2423C2212yes—
187#2423C2212yes—
188#2417C2212yes—
189#2417C2212yes—
190#2417C2212yes—
191#2417C2212yes—
192#2402C2214yes—
193#2396C2212yes—
194#2396C2212yes—
195#2396C2214yes—
196#2374C2214yes—
197#2374C2212yes—
198#2373C2214yes—
199#2373C2212yes—
200#2370C2212yes—
201#2370C2214yes—
202#2370C2214yes—
203#2370C2212yes—
204#2370C2211yescharacteristic
205#2370C2212yes—
206#2370C2212yes—
207#2370C2212yes—
208#2369C2211yescharacteristic
209#2369C2212yes—
210#2368C2214yes—
211#2365C2212yes—
212#2364C2212yes—
213#2363C2214yes—
214#2363C2212yes—
215#2363C2211yescharacteristic
216#2361C2212yes—
217#2361C2211yescharacteristic
218#2360C2212yes—
219#2360C2212yes—
220#2360C2214yes—
221#2360C2212yes—
222#2360C2212yes—
223#2360C2212yes—
224#2357C2214yes—
225#2357C2212yes—
226#2357C2211yescharacteristic
227#2355C2212yes—
228#2355C2211yescharacteristic
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2355C2212yes—
232#2355C2212yes—
233#2355C2212yes—
234#2353C2212yes—
235#2352C2212yes—
236#2352C2211yescharacteristic
237Q8×C4⋊C4C2212yes—
238Q8×C4⋊C4C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240Q8×C4⋊C4C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242Q8×C4⋊C4C2211yescharacteristic
243Q8×C4⋊C4C2211yescharacteristic
244#2349C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2212yes—
247#2347C2211yescharacteristic
248#2346C2212yes—
249#2345C2212yes—
250#2345C2211yescharacteristic
251#2345C2212yes—
252#2344C2212yes—
253#2334C2214yes—
254#2333C2214yes—
255#2330C2214yes—
256#2329C2214yes—
257#2324C2212yes—
258#2324C2212yes—
259#2317C2212yes—
260#2317C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×#125C2212yes—
267C4×#125C2211yescharacteristic
268C4×#125C2212yes—
269C4×#126C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2214yes—
273C4×C22⋊Q8C2214yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×#123C2212yes—
279C4×#123C2214yes—
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283#2295C2212yes—
284#2293C2212yes—
285#2290C2214yes—
286#2285C2211yescharacteristic
287#2285C2212yes—
288C2×#384C2211yescharacteristic
289#2274C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299#554—28no—
300#553Q8116yescomplemented
301#533—28no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×#126C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2311yescharacteristic
320C2×#123C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2312yes—
382C22×C42C2312yes—
383C22×C42C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#399C2312yes—
399#399C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#396C2314yes—
432#396C2312yes—
433#396C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2312yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2312yes—
459#395C2312yes—
460#393C2312yes—
461#393C2312yes—
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#390C2312yes—
481#390C2312yes—
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2312yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2312yes—
489#390C2312yes—
490#389C2312yes—
491#389C2311yescharacteristic
492#389C2312yes—
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2314yes—
644#386C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2314yes—
675#384C2314yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#383C2312yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2314yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#381C2314yes—
696#381C2312yes—
697#381C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—42no—
844C4⋊Q8—44no—
845#126C2×Q8116yes—
846#125—28no—
847#125—28no—
848#125—28no—
849#125—44no—
850#125—44no—
851#125—44no—
852#125—48no—
853#125—84no—
854#125C2×Q818yes—
855#123C2×Q8116yes—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—28no—
859C22⋊Q8—24no—
860C22⋊Q8—24no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—48no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—42no—
869C22⋊Q8—42no—
870C22⋊Q8—82no—
871C22⋊Q8—84no—
872#121C2×Q8116yes—
873#121C2×Q818yes—
874#121C2×Q818yes—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—44no—
880C4×Q8—42no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—42no—
885C4×Q8—82no—
886C4×Q8—84no—
887C4×Q8#4118yes—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—42no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—42no—
896C4×D4—42no—
897C4×D4—84no—
898C4×D4C2×Q8116yes—
899C4×D4C2×Q818yes—
900C4×D4C2×Q818yes—
901#117—28no—
902#117—28no—
903#117—42no—
904#117—44no—
905#117—84no—
906#117C2×Q818yes—
907C2×C4⋊C4—28no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4—44no—
911C2×C4⋊C4—42no—
912C2×C4⋊C4—82no—
913C2×C4⋊C4C2×Q818yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C42—24no—
1040C2×C42—24no—
1041C2×C42—44no—
1042C2×C42—44no—
1043C2×C42—84no—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24C2511yescharacteristic
1159C24C2511yescharacteristic
1160C24C2512yes—
1161C2×Q8—24no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—42no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8C2×#4114yes—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—41no—
1184C2×D4—42no—
1185C2×D4—41no—
1186C2×D4—42no—
1187C2×D4C22×Q814yes—
1188C2×D4C22×Q818yes—
1189C2×D4C22×Q814yes—
1190C2×D4C22×Q818yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—28no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—41no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—41no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—41no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4C22×Q814yes—
1230C22×C4C22×Q814yes—
1231C22×C4C22×Q818yes—
1232C22×C4C22×Q818yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—28no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—41no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4C22×Q814yes—
1346C4⋊C4C22×Q814yes—
1347C4⋊C4C22×Q818yes—
1348C4⋊C4C22×Q814yes—
1349C4⋊C4C22×Q818yes—
1350C4⋊C4C22×Q814yes—
1351C4⋊C4C22×Q818yes—
1352C4⋊C4C2×#4114yes—
1353C4⋊C4C2×#4118yes—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—22no—
1361C22⋊C4—24no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—41no—
1372C22⋊C4—42no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4C22×Q818yes—
1385C22⋊C4C22×Q814yes—
1386C22⋊C4C22×Q818yes—
1387C22⋊C4C22×Q818yes—
1388C22⋊C4C22×Q814yes—
1389C22⋊C4C22×Q818yes—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—24no—
1398C42—22no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—22no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—42no—
1407C42—42no—
1408C42—42no—
1409C42—42no—
1410C42—42no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—42no—
1416C42—44no—
1417C42—41no—
1418C42—44no—
1419C42—44no—
1420C42—44no—
1421C42—42no—
1422C42—44no—
1423C42—44no—
1424C42—42no—
1425C42—42no—
1426C42—41no—
1427C42—42no—
1428C42C22×Q818yes—
1429C42C22×Q814yes—
1430C42C2×#4114yes—
1431C42C2×#4118yes—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—22no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23C23×Q814yes—
1451C23C23×Q812yes—
1452C23C23×Q812yes—
1453C23C2611yescharacteristic
1454Q8—28no—
1455Q8—48no—
1456Q8—44no—
1457Q8—44no—
1458Q8—84no—
1459Q8—84no—
1460D4—28no—
1461D4—48no—
1462D4—48no—
1463D4—44no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—28no—
1487C2×C4—28no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—48no—
1546C2×C4—48no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—48no—
1551C2×C4—82no—
1552C2×C4—88no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4—88no—
1556C2×C4—164no—
1557C2×C4C23×Q812yes—
1558C2×C4C23×Q814yes—
1559C2×C4C23×Q812yes—
1560C2×C4C23×Q814yes—
1561C2×C4C23×Q812yes—
1562C2×C4C23×Q812yes—
1563C2×C4C23×Q814yes—
1564C2×C4C23×Q812yes—
1565C2×C4C22×#4112yes—
1566C2×C4C22×#4114yes—
1567C2×C4C22×#4114yes—
1568C2×C4C22×#4112yes—
1569C2×C4C22×#4112yes—
1570C2×C4#58512yes—
1571C2×C4#58512yes—
1572C2×C4#58512yes—
1573C2×C4#58512yes—
1574C22—22no—
1575C22—24no—
1576C22—22no—
1577C22—22no—
1578C22—24no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—24no—
1583C22—41no—
1584C22—42no—
1585C22—41no—
1586C22—41no—
1587C22—42no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—42no—
1592C22—42no—
1593C22—41no—
1594C22—41no—
1595C22C24×Q811yescharacteristic
1596C22C23×#4111yescharacteristic
1597C22C2×#58511yescharacteristic
1598C22C2×#58511yescharacteristic
1599C22C2×#58511yescharacteristic
1600C22C2×#58511yescharacteristic
1601C22H(7,𝔽2)11yescharacteristic
1602C4—22no—
1603C4—24no—
1604C4—24no—
1605C4—22no—
1606C4—22no—
1607C4—24no—
1608C4—24no—
1609C4—24no—
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—44no—
1614C4—41no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—44no—
1619C4—42no—
1620C4—41no—
1621C4—42no—
1622C4—41no—
1623C4—41no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—42no—
1629C4—42no—
1630C4—44no—
1631C4—44no—
1632C4Q8×#4114yes—
1633C4#351214yes—
1634C2—42no—
1635C2—44no—
1636C2—42no—
1637C2C2×Q8×#4111yescharacteristic
1638C2C2×#351211yescharacteristic
1639C2#6281311yescharacteristic
1640C2#6296911yescharacteristic
1641C2#6298911yescharacteristic
1642C2#6300811yescharacteristic
1643C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59939C2semidirect
2. #59872C2semidirect
3. #59694C2semidirect
4. #59445C2semidirect
5. #59393C2semidirect
6. #59305C2semidirect
7. #59214C2semidirect
8. #59214C2semidirect
9. #44942C2semidirect
10. #44942C2semidirect
11. #44721C2semidirect
12. #43139C2semidirect
13. #39965C2semidirect
14. #39664C2semidirect
15. #39661C2semidirect
16. #39598C2semidirect
17. #39598C2semidirect
18. #39494C2semidirect
19. #36553C2semidirect
20. Q8×#125C2semidirect
21. #36477C2semidirect
22. #36477C2semidirect
23. #36477C2semidirect
24. #36287C2semidirect
25. #36193C2semidirect
26. #36189C2semidirect
27. #36039C2semidirect
28. #35708C2semidirect
29. #34929C2semidirect
30. #34772C2semidirect
32. #34214C2semidirect
33. #34213C2semidirect
34. C4×#554C2semidirect
300. #553Q8semidirect

Maximal subgroups

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

subgroupindex
#599392
#598722
#596942
#594452
#593932
#593052
#592142
#449422
#447212
#431392
#399652
#396642
#396612
#395982
#394942
#365532
Q8×#1252
#364772
#362872
#361932
#361892
#360392
#357082
#349292
#347722
#343192
#342142
#342132
C4×#5542
C4×#5532