Finite Group Databasebeta

← #7681008

Subgroups — #7681008

Order 512.

4986 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59919C212yesmaximal, complemented
2#59871C211yesmaximal, characteristic, complemented
3#59823C211yesmaximal, characteristic, complemented
4#59672C211yesmaximal, characteristic, complemented
5#59668C211yesmaximal, characteristic, complemented
6#59668C211yesmaximal, characteristic, complemented
7#59569C212yesmaximal, complemented
8#59466C211yesmaximal, characteristic, complemented
9#59458C211yesmaximal, characteristic, complemented
10#59458C211yesmaximal, characteristic, complemented
11#59153C212yesmaximal, complemented
12#59052C212yesmaximal, complemented
13#45359C212yesmaximal, complemented
14#44943C212yesmaximal, complemented
15#44941C212yesmaximal, complemented
16#44908C212yesmaximal, complemented
17#44435C214yesmaximal, complemented
18#44277C214yesmaximal, complemented
19#39980C214yesmaximal, complemented
20#39976C212yesmaximal, complemented
21#39972C212yesmaximal, complemented
22#38445C214yesmaximal, complemented
23#36479C212yesmaximal, complemented
24#36261C212yesmaximal, complemented
25#35581C212yesmaximal, complemented
26#35580C212yesmaximal, complemented
27#35202C211yesmaximal, characteristic, complemented
28#35176C212yesmaximal, complemented
29#34938C211yesmaximal, characteristic, complemented
30#34912C211yesmaximal, characteristic, complemented
31#34332C212yesmaximal, complemented
32#34236C211yesmaximal, characteristic
33#34226C211yesmaximal, characteristic
34#34155C211yesmaximal, characteristic
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#554C2212yes—
38C2×#554C2212yes—
39C2×#544C2211yescharacteristic
40C2×#533C2212yes—
41C2×#532C2211yescharacteristic
42#2864C2212yes—
43#2859C2212yes—
44#2857C2214yes—
45#2855C2214yes—
46#2809C2214yes—
47#2807C2214yes—
48#2806C2214yes—
49#2806C2214yes—
50#2806C2214yes—
51#2790C2214yes—
52#2788C2214yes—
53#2780C2214yes—
54#2780C2214yes—
55#2768C2214yes—
56#2768C2214yes—
57#2748C2214yes—
58#2748C2214yes—
59#2732C2214yes—
60#2732C2214yes—
61#2732C2214yes—
62#2720C2214yes—
63#2704C2214yes—
64#2692C2214yes—
65#2692C2214yes—
66#2692C2214yes—
67#2692C2214yes—
68#2683C2214yes—
69#2677C2214yes—
70#2667C2214yes—
71#2667C2214yes—
72#2667C2214yes—
73#2608C2212yes—
74#2608C2214yes—
75#2607C2212yes—
76#2607C2214yes—
77#2606C2212yes—
78#2606C2214yes—
79#2605C2212yes—
80#2589C2214yes—
81#2587C2214yes—
82#2584C2212yes—
83#2584C2212yes—
84#2584C2212yes—
85#2584C2212yes—
86#2583C2214yes—
87#2583C2214yes—
88#2582C2214yes—
89#2580C2212yes—
90#2580C2214yes—
91#2580C2212yes—
92#2579C2214yes—
93#2579C2214yes—
94#2574C2214yes—
95#2574C2214yes—
96#2570C2211yescharacteristic
97#2570C2211yescharacteristic
98#2567C2212yes—
99#2566C2212yes—
100#2566C2212yes—
101#2565C2214yes—
102#2556C2214yes—
103#2556C2214yes—
104#2552C2211yescharacteristic
105#2552C2211yescharacteristic
106#2552C2211yescharacteristic
107#2552C2212yes—
108#2552C2211yescharacteristic
109#2552C2212yes—
110#2552C2212yes—
111#2552C2211yescharacteristic
112#2552C2211yescharacteristic
113#2551C2212yes—
114#2551C2211yescharacteristic
115#2551C2211yescharacteristic
116#2551C2212yes—
117#2550C2212yes—
118#2550C2212yes—
119#2550C2212yes—
120#2550C2211yescharacteristic
121#2550C2211yescharacteristic
122#2550C2212yes—
123#2549C2214yes—
124#2549C2214yes—
125#2549C2214yes—
126#2546C2212yes—
127#2546C2212yes—
128#2542C2212yes—
129#2542C2214yes—
130#2542C2212yes—
131#2542C2212yes—
132#2538C2212yes—
133#2538C2212yes—
134#2538C2212yes—
135#2522C2214yes—
136#2522C2214yes—
137#2522C2214yes—
138#2508C2212yes—
139#2508C2212yes—
140#2507C2212yes—
141#2507C2212yes—
142#2507C2212yes—
143#2507C2212yes—
144#2507C2212yes—
145#2507C2212yes—
146#2506C2212yes—
147#2506C2212yes—
148#2465C2214yes—
149#2465C2214yes—
150#2465C2214yes—
151#2454C2212yes—
152#2454C2212yes—
153#2454C2212yes—
154#2454C2214yes—
155#2454C2212yes—
156#2454C2212yes—
157#2454C2212yes—
158#2454C2212yes—
159#2454C2212yes—
160#2452C2212yes—
161#2452C2212yes—
162#2452C2214yes—
163#2452C2212yes—
164#2452C2212yes—
165#2452C2212yes—
166#2452C2212yes—
167#2451C2214yes—
168#2451C2214yes—
169#2449C2214yes—
170#2449C2214yes—
171#2449C2214yes—
172#2449C2214yes—
173#2441C2212yes—
174#2441C2214yes—
175#2441C2212yes—
176#2441C2211yescharacteristic
177#2441C2211yescharacteristic
178#2441C2212yes—
179#2441C2212yes—
180#2440C2212yes—
181#2440C2214yes—
182#2440C2212yes—
183#2440C2214yes—
184#2439C2211yescharacteristic
185#2439C2211yescharacteristic
186#2439C2214yes—
187#2438C2214yes—
188#2438C2214yes—
189#2429C2214yes—
190#2429C2214yes—
191#2423C2214yes—
192#2423C2214yes—
193#2417C2214yes—
194#2417C2214yes—
195#2399C2214yes—
196#2396C2212yes—
197#2396C2212yes—
198#2372C2214yes—
199#2370C2212yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2369C2211yescharacteristic
204#2369C2211yescharacteristic
205#2369C2212yes—
206#2369C2211yescharacteristic
207#2369C2212yes—
208#2369C2211yescharacteristic
209#2367C2212yes—
210#2367C2212yes—
211#2366C2211yescharacteristic
212#2366C2211yescharacteristic
213#2366C2211yescharacteristic
214#2366C2211yescharacteristic
215#2365C2212yes—
216#2363C2212yes—
217#2363C2212yes—
218#2363C2212yes—
219#2363C2212yes—
220#2363C2212yes—
221#2363C2212yes—
222#2361C2212yes—
223#2361C2212yes—
224#2360C2214yes—
225#2360C2214yes—
226#2360C2214yes—
227#2357C2212yes—
228#2357C2212yes—
229Q8×C4⋊C4C2212yes—
230#2349C2212yes—
231#2349C2212yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2212yes—
237#2345C2214yes—
238#2341C2212yes—
239#2339C2214yes—
240#2339C2212yes—
241#2337C2214yes—
242#2331C2212yes—
243#2331C2211yescharacteristic
244#2331C2211yescharacteristic
245#2330C2211yescharacteristic
246#2330C2212yes—
247#2330C2211yescharacteristic
248#2330C2212yes—
249#2330C2212yes—
250#2329C2214yes—
251#2329C2214yes—
252#2329C2212yes—
253#2329C2212yes—
254#2324C2212yes—
255#2324C2212yes—
256#2319C2212yes—
257#2319C2212yes—
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2212yes—
270C4×#127C2211yescharacteristic
271C4×#127C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2214yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282#2297C2214yes—
283#2296C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286#2293C2212yes—
287#2293C2212yes—
288C2×#389C2214yes—
289#2285C2211yescharacteristic
290#2283C2211yescharacteristic
291#2275C2212yes—
292#2275C2212yes—
293C42×D4C2212yes—
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#554—216no—
301#554—48no—
302#554—48no—
303#544—28no—
304#533—48no—
305#532Q8116yescomplemented
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2311yescharacteristic
331C2×#124C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2314yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2314yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2314yes—
391C22×C42C2312yes—
392C22×C42C2314yes—
393C22×C42C2311yescharacteristic
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2312yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2312yes—
461#395C2314yes—
462#395C2314yes—
463#395C2312yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2312yes—
472#393C2312yes—
473#393C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2312yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2314yes—
698#384C2312yes—
699#384C2314yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#383C2312yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2314yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2311yescharacteristic
808#376C2312yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C2×#41—82no—
817C2×#41—82no—
818C2×#41C2×Q8116yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C23×C4C2414yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2411yescharacteristic
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—28no—
845C4⋊Q8—28no—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—84no—
852C4⋊Q8—84no—
853C4⋊Q8C2×Q818yes—
854#127C2×Q818yes—
855#125—28no—
856#125—24no—
857#125—28no—
858#125—28no—
859#125—24no—
860#125—24no—
861#125—44no—
862#125—44no—
863#125—44no—
864#125—44no—
865#125—84no—
866#125#4118yescomplemented
867#124C2×Q8116yes—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—216no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—84no—
882C22⋊Q8—84no—
883C22⋊Q8—84no—
884#121C2×Q8116yes—
885#121C2×Q8116yes—
886C4×Q8—28no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—48no—
891C4×Q8—48no—
892C4×Q8—84no—
893C4×Q8—82no—
894C4×Q8—82no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—82no—
908C4×D4—82no—
909C4×D4—84no—
910C4×D4—84no—
911C4×D4C2×Q8116yes—
912C4×D4C2×Q8116yes—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—42no—
918#117—42no—
919#117—44no—
920#117—84no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—216no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4—48no—
925C2×C4⋊C4—48no—
926C2×C4⋊C4—84no—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C42—44no—
1053C2×C42—84no—
1054C2×C42C2×Q818yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24C2511yescharacteristic
1171C24C2514yes—
1172#41—816no—
1173C2×Q8—24no—
1174C2×Q8—28no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—28no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8C22×Q818yes—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4C22×Q818yes—
1203C2×D4C22×Q818yes—
1204C2×D4C22×Q8116yes—
1205C2×D4C22×Q818yes—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—28no—
1211C22×C4—28no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4C22×Q814yes—
1239C22×C4C22×Q814yes—
1240C22×C4C22×Q814yes—
1241C22×C4C22×Q8116yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2514yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4C22×Q818yes—
1362C4⋊C4C22×Q818yes—
1363C4⋊C4C2×#4118yes—
1364C4⋊C4C2×#4114yes—
1365C4⋊C4C2×#4114yes—
1366C4⋊C4C2×#4118yes—
1367C4⋊C4H(5,𝔽2)14yes—
1368C4⋊C42−1+414yes—
1369C22⋊C4—22no—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4C22×Q8116yes—
1399C22⋊C4C22×Q8116yes—
1400C42—24no—
1401C42—22no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—22no—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—42no—
1419C42—42no—
1420C42—42no—
1421C42—42no—
1422C42—44no—
1423C42—44no—
1424C42—42no—
1425C42—44no—
1426C42—42no—
1427C42—42no—
1428C42—41no—
1429C42—41no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—41no—
1434C42—41no—
1435C42—44no—
1436C42C22×Q814yes—
1437C42C22×Q814yes—
1438C42C22×Q814yes—
1439C42C22×Q814yes—
1440C42C2×#4114yes—
1441C23—21no—
1442C23—24no—
1443C23—21no—
1444C23—24no—
1445C23—21no—
1446C23—24no—
1447C23—21no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—21no—
1452C23—21no—
1453C23C23×Q818yes—
1454C23C23×Q812yes—
1455C23C2611yescharacteristic
1456Q8—48no—
1457Q8—48no—
1458Q8—84no—
1459Q8—88no—
1460Q8—84no—
1461Q8—88no—
1462Q8—84no—
1463D4—216no—
1464D4—216no—
1465D4—48no—
1466D4—416no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—24no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—28no—
1490C2×C4—28no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—416no—
1552C2×C4—44no—
1553C2×C4—416no—
1554C2×C4—88no—
1555C2×C4—88no—
1556C2×C4—84no—
1557C2×C4—88no—
1558C2×C4—84no—
1559C2×C4—164no—
1560C2×C4—164no—
1561C2×C4C23×Q812yes—
1562C2×C4C23×Q812yes—
1563C2×C4C23×Q812yes—
1564C2×C4C23×Q812yes—
1565C2×C4C23×Q818yes—
1566C2×C4C23×Q812yes—
1567C2×C4C23×Q812yes—
1568C2×C4C22×#4114yes—
1569C2×C4C22×#4112yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4114yes—
1572C2×C4C22×#4112yes—
1573C2×C4C2×H(5,𝔽2)14yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×2−1+414yes—
1576C2×C4C2×2−1+412yes—
1577C2×C4#58512yes—
1578C22—22no—
1579C22—28no—
1580C22—22no—
1581C22—28no—
1582C22—22no—
1583C22—28no—
1584C22—41no—
1585C22—44no—
1586C22—44no—
1587C22—41no—
1588C22—41no—
1589C22—44no—
1590C22—41no—
1591C22—44no—
1592C22C24×Q811yescharacteristic
1593C22C23×#4111yescharacteristic
1594C22C22×H(5,𝔽2)11yescharacteristic
1595C22C22×2−1+411yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22H(7,𝔽2)11yescharacteristic
1598C22H(7,𝔽2)11yescharacteristic
1599C4—22no—
1600C4—24no—
1601C4—24no—
1602C4—24no—
1603C4—22no—
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—28no—
1608C4—24no—
1609C4—22no—
1610C4—42no—
1611C4—44no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—41no—
1616C4—41no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—41no—
1622C4—42no—
1623C4—44no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—41no—
1629C4—42no—
1630C4Q8×#4114yes—
1631C4#350314yes—
1632C2—42no—
1633C2—48no—
1634C2C2×Q8×#4111yescharacteristic
1635C2C2×#350311yescharacteristic
1636C2#6284311yescharacteristic
1637C2#6292011yescharacteristic
1638C2#6295211yescharacteristic
1639C2#6298611yescharacteristic
1640C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59919C2semidirect
2. #59871C2semidirect
3. #59823C2semidirect
4. #59672C2semidirect
5. #59668C2semidirect
6. #59668C2semidirect
7. #59569C2semidirect
8. #59466C2semidirect
9. #59458C2semidirect
10. #59458C2semidirect
11. #59153C2semidirect
12. #59052C2semidirect
13. #45359C2semidirect
14. #44943C2semidirect
15. #44941C2semidirect
16. #44908C2semidirect
17. #44435C2semidirect
18. #44277C2semidirect
19. #39980C2semidirect
20. #39976C2semidirect
21. #39972C2semidirect
22. #38445C2semidirect
23. #36479C2semidirect
24. #36261C2semidirect
25. #35581C2semidirect
26. #35580C2semidirect
27. #35202C2semidirect
28. #35176C2semidirect
29. #34938C2semidirect
30. #34912C2semidirect
31. #34332C2semidirect
35. C4×#544C2semidirect
305. #532Q8semidirect
866. #125#41semidirect

Maximal subgroups

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

subgroupindex
#599192
#598712
#598232
#596722
#596682
#595692
#594662
#594582
#591532
#590522
#453592
#449432
#449412
#449082
#444352
#442772
#399802
#399762
#399722
#384452
#364792
#362612
#355812
#355802
#352022
#351762
#349382
#349122
#343322
#342362
#342262
#341552
C4×#5442