Finite Group Databasebeta

← #7693271

Subgroups — #7693271

Order 512.

4920 conjugacy classes of subgroups.

The subgroup lattice has 1689 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59719C212yesmaximal, complemented
2#59672C212yesmaximal, complemented
3#59633C212yesmaximal
4#59516C214yesmaximal, complemented
5#59444C212yesmaximal, complemented
6#59444C211yesmaximal, characteristic, complemented
7#59234C211yesmaximal, characteristic, complemented
8#59230C211yesmaximal, characteristic, complemented
9#45133C212yesmaximal, complemented
10#45122C212yesmaximal, complemented
11#44670C214yesmaximal, complemented
12#43848C214yesmaximal, complemented
13#40128C212yesmaximal, complemented
14#40124C212yesmaximal, complemented
15#40110C214yesmaximal, complemented
16#39501C212yesmaximal, complemented
17#39139C211yesmaximal, characteristic, complemented
18#39139C211yesmaximal, characteristic, complemented
19#36565C211yesmaximal, characteristic, complemented
20#36561C211yesmaximal, characteristic, complemented
21#36534C212yesmaximal, complemented
22#36473C211yesmaximal, characteristic, complemented
23#36459C212yesmaximal, complemented
24#36413C212yesmaximal, complemented
25#36270C211yesmaximal, characteristic, complemented
26#36209C211yesmaximal, characteristic, complemented
27#35834C212yesmaximal, complemented
28#35773C212yesmaximal, complemented
29#34974C212yesmaximal, complemented
30#34934C211yesmaximal, characteristic
31#34318C212yesmaximal, complemented
32#34243C211yesmaximal, characteristic, complemented
33#34242C211yesmaximal, characteristic, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2212yes—
38C2×#554C2212yes—
39C2×#552C2212yes—
40C2×#552C2211yescharacteristic
41C2×#552C2212yes—
42C2×#529C2211yescharacteristic
43C2×#529C2211yescharacteristic
44#2862C2212yes—
45#2861C2214yes—
46#2860C2212yes—
47#2860C2212yes—
48#2859C2211yescharacteristic
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2809C2214yes—
53#2809C2214yes—
54#2809C2214yes—
55#2808C2214yes—
56#2808C2214yes—
57#2808C2214yes—
58#2803C2214yes—
59#2785C2214yes—
60#2784C2214yes—
61#2783C2214yes—
62#2781C2214yes—
63#2775C2214yes—
64#2775C2214yes—
65#2744C2214yes—
66#2721C2214yes—
67#2721C2214yes—
68#2694C2214yes—
69#2694C2214yes—
70#2694C2214yes—
71#2694C2214yes—
72#2694C2214yes—
73#2664C2214yes—
74#2663C2214yes—
75#2621C2212yes—
76#2621C2212yes—
77#2604C2214yes—
78#2602C2214yes—
79#2601C2214yes—
80#2601C2214yes—
81#2593C2214yes—
82#2586C2214yes—
83#2586C2214yes—
84#2574C2214yes—
85#2574C2214yes—
86#2565C2214yes—
87#2565C2214yes—
88#2564C2214yes—
89#2563C2212yes—
90#2563C2212yes—
91#2562C2212yes—
92#2560C2214yes—
93#2560C2214yes—
94#2560C2214yes—
95#2560C2214yes—
96#2560C2214yes—
97#2558C2214yes—
98#2557C2214yes—
99#2556C2214yes—
100#2556C2214yes—
101#2554C2212yes—
102#2554C2212yes—
103#2553C2214yes—
104#2552C2211yescharacteristic
105#2552C2214yes—
106#2552C2212yes—
107#2552C2212yes—
108#2552C2212yes—
109#2551C2211yescharacteristic
110#2551C2211yescharacteristic
111#2550C2212yes—
112#2550C2212yes—
113#2548C2211yescharacteristic
114#2547C2212yes—
115#2544C2214yes—
116#2542C2211yescharacteristic
117#2542C2212yes—
118#2542C2211yescharacteristic
119#2542C2212yes—
120#2541C2211yescharacteristic
121#2538C2211yescharacteristic
122#2538C2211yescharacteristic
123#2538C2211yescharacteristic
124#2536C2212yes—
125#2536C2212yes—
126#2536C2212yes—
127#2536C2212yes—
128#2536C2212yes—
129#2532C2214yes—
130#2532C2214yes—
131#2532C2214yes—
132#2532C2214yes—
133#2532C2214yes—
134#2529C2214yes—
135#2521C2214yes—
136#2521C2214yes—
137#2519C2214yes—
138#2513C2212yes—
139#2512C2212yes—
140#2512C2214yes—
141#2512C2212yes—
142#2508C2214yes—
143#2508C2212yes—
144#2508C2212yes—
145#2508C2212yes—
146#2506C2212yes—
147#2506C2212yes—
148#2506C2214yes—
149#2499C2214yes—
150#2496C2212yes—
151#2496C2214yes—
152#2495C2212yes—
153#2495C2212yes—
154#2495C2212yes—
155#2492C2212yes—
156#2492C2212yes—
157#2492C2212yes—
158#2492C2212yes—
159#2491C2212yes—
160#2491C2212yes—
161#2490C2211yescharacteristic
162#2490C2212yes—
163#2490C2211yescharacteristic
164#2490C2212yes—
165#2489C2212yes—
166#2489C2212yes—
167#2485C2214yes—
168#2485C2212yes—
169#2485C2212yes—
170#2479C2214yes—
171#2479C2214yes—
172#2479C2214yes—
173#2474C2214yes—
174#2474C2214yes—
175#2459C2214yes—
176#2452C2212yes—
177#2451C2212yes—
178#2451C2212yes—
179#2448C2212yes—
180#2448C2212yes—
181#2445C2214yes—
182#2445C2212yes—
183#2445C2212yes—
184#2445C2212yes—
185#2439C2212yes—
186#2426C2211yescharacteristic
187#2426C2211yescharacteristic
188#2423C2212yes—
189#2423C2212yes—
190#2417C2212yes—
191#2417C2212yes—
192#2417C2212yes—
193#2415C2212yes—
194#2415C2212yes—
195#2415C2212yes—
196#2396C2214yes—
197#2395C2214yes—
198#2392C2212yes—
199#2392C2212yes—
200#2374C2214yes—
201#2373C2214yes—
202#2373C2214yes—
203#2373C2212yes—
204#2371C2212yes—
205#2370C2211yescharacteristic
206#2370C2214yes—
207#2370C2212yes—
208#2370C2212yes—
209#2370C2214yes—
210#2369C2212yes—
211#2369C2212yes—
212#2369C2212yes—
213#2367C2212yes—
214#2365C2211yescharacteristic
215#2365C2212yes—
216#2363C2212yes—
217#2363C2212yes—
218#2362C2212yes—
219#2362C2212yes—
220#2362C2211yescharacteristic
221#2360C2212yes—
222#2360C2211yescharacteristic
223#2359C2212yes—
224#2359C2214yes—
225#2356C2212yes—
226#2356C2211yescharacteristic
227#2355C2212yes—
228#2355C2211yescharacteristic
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2354C2212yes—
232#2354C2212yes—
233#2354C2211yescharacteristic
234#2354C2214yes—
235#2354C2211yescharacteristic
236#2352C2212yes—
237#2352C2211yescharacteristic
238#2352C2212yes—
239#2352C2212yes—
240#2351C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245#2347C2212yes—
246#2347C2214yes—
247#2346C2212yes—
248#2346C2211yescharacteristic
249#2346C2212yes—
250#2345C2212yes—
251#2344C2211yescharacteristic
252#2343C2212yes—
253#2336C2214yes—
254#2335C2214yes—
255#2335C2214yes—
256#2334C2214yes—
257#2323C2212yes—
258#2323C2212yes—
259#2314C2212yes—
260#2314C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#127C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2214yes—
272C4×#126C2214yes—
273C4×#126C2212yes—
274C4×#124C2214yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×#123C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2298C2214yes—
285#2293C2212yes—
286#2293C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2274C2212yes—
290#2274C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—28no—
300#556—48no—
301#554—48no—
302#552—216no—
303#552—28no—
304#552—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313#529—28no—
314#529—28no—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#125C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2314yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2314yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2312yes—
454#396C2312yes—
455#396C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2312yes—
482#392C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2311yescharacteristic
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2314yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2314yes—
686#383C2312yes—
687#383C2314yes—
688#383C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2314yes—
695#382C2314yes—
696#382C2314yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2312yes—
701#381C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2314yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C4⋊Q8—28no—
845C4⋊Q8—24no—
846C4⋊Q8—28no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850#127—42no—
851#127—44no—
852#126—28no—
853#126—28no—
854#126—216no—
855#126—28no—
856#126—48no—
857#126—48no—
858#126—48no—
859#125—24no—
860#125—24no—
861#125—28no—
862#125—216no—
863#125—28no—
864#125—216no—
865#125—48no—
866#125—44no—
867#125—48no—
868#125#4118yes—
869#124—24no—
870#124—24no—
871#124—48no—
872#124—48no—
873#123—28no—
874#123—28no—
875#123—28no—
876#123—216no—
877#123—48no—
878C22⋊Q8—24no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—24no—
882C22⋊Q8—28no—
883C22⋊Q8—24no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892#121—24no—
893#121—24no—
894#121—24no—
895#121—24no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—28no—
902C4×Q8—24no—
903C4×Q8—28no—
904C4×Q8—48no—
905C4×Q8—44no—
906C4×Q8—42no—
907C4×Q8#4118yes—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—44no—
921C4×D4—42no—
922C4×D4—48no—
923#117—24no—
924#117—28no—
925#117—28no—
926#117—216no—
927#117—28no—
928#117—24no—
929#117—28no—
930#117—28no—
931#117—48no—
932#117—44no—
933#117—44no—
934#117—44no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C42—24no—
1067C2×C42—24no—
1068C2×C42—44no—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2411yescharacteristic
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—28no—
1191C2×Q8—22no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8C2×#4114yes—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—42no—
1214C2×D4—41no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—24no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—41no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—41no—
1343C4⋊C4—44no—
1344C4⋊C4—41no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4C2×#4114yes—
1360C4⋊C4C2×#4114yes—
1361C4⋊C4C2×#4118yes—
1362C4⋊C4C2×#4114yes—
1363C4⋊C4C2×#4118yes—
1364C4⋊C4C2×#4118yes—
1365C4⋊C4H(5,𝔽2)14yes—
1366C4⋊C42−1+414yes—
1367C22⋊C4—22no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—22no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—28no—
1427C42—24no—
1428C42—28no—
1429C42—28no—
1430C42—24no—
1431C42—28no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—24no—
1436C42—28no—
1437C42—24no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—41no—
1448C42—44no—
1449C42—42no—
1450C42—44no—
1451C42—44no—
1452C42—42no—
1453C42—42no—
1454C42—44no—
1455C42—41no—
1456C42—44no—
1457C42—42no—
1458C42—44no—
1459C42—42no—
1460C42C2×#4114yes—
1461C42C2×#4118yes—
1462C42C2×#4114yes—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23#58512yes—
1491C23C2611yescharacteristic
1492Q8—28no—
1493Q8—44no—
1494Q8—48no—
1495Q8—88no—
1496Q8—164no—
1497D4—48no—
1498D4—48no—
1499D4—44no—
1500D4—44no—
1501D4—44no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—44no—
1585C2×C4—48no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—82no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—84no—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C2×H(5,𝔽2)14yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×2−1+414yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4#58512yes—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22C23×#4111yescharacteristic
1640C22C23×#4111yescharacteristic
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C22×2−1+411yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C222−1+611yescharacteristic
1646C4—22no—
1647C4—24no—
1648C4—22no—
1649C4—24no—
1650C4—24no—
1651C4—24no—
1652C4—24no—
1653C4—22no—
1654C4—24no—
1655C4—42no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—44no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4—42no—
1664C4—44no—
1665C4—44no—
1666C4—42no—
1667C4—41no—
1668C4—42no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—44no—
1675C4#348314yes—
1676C4#350714yes—
1677C2—42no—
1678C2—81no—
1679C2—82no—
1680C2—82no—
1681C2C2×#348311yescharacteristic
1682C2C2×#350711yescharacteristic
1683C2#6281611yescharacteristic
1684C2#6292111yescharacteristic
1685C2#6299311yescharacteristic
1686C2#6300111yescharacteristic
1687C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2541C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59719C2semidirect
2. #59672C2semidirect
4. #59516C2semidirect
5. #59444C2semidirect
6. #59444C2semidirect
7. #59234C2semidirect
8. #59230C2semidirect
9. #45133C2semidirect
10. #45122C2semidirect
11. #44670C2semidirect
12. #43848C2semidirect
13. #40128C2semidirect
14. #40124C2semidirect
15. #40110C2semidirect
16. #39501C2semidirect
17. #39139C2semidirect
18. #39139C2semidirect
19. #36565C2semidirect
20. #36561C2semidirect
21. #36534C2semidirect
22. #36473C2semidirect
23. #36459C2semidirect
24. #36413C2semidirect
25. #36270C2semidirect
26. #36209C2semidirect
27. #35834C2semidirect
28. #35773C2semidirect
29. #34974C2semidirect
31. #34318C2semidirect
32. #34243C2semidirect
33. #34242C2semidirect
34. C4×#557C2semidirect
35. C4×#552C2semidirect

Maximal subgroups

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

subgroupindex
#597192
#596722
#596332
#595162
#594442
#592342
#592302
#451332
#451222
#446702
#438482
#401282
#401242
#401102
#395012
#391392
#365652
#365612
#365342
#364732
#364592
#364132
#362702
#362092
#358342
#357732
#349742
#349342
#343182
#342432
#342422
C4×#5572
C4×#5522