Finite Group Databasebeta

← #8700540

Subgroups — #8700540

Order 512.

5980 conjugacy classes of subgroups.

The subgroup lattice has 1647 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59419C212yesmaximal, complemented
2#59415C212yesmaximal, complemented
3#59410C212yesmaximal, complemented
4#59371C212yesmaximal, complemented
5#58256C212yesmaximal, complemented
6#57152C214yesmaximal, complemented
7#57148C212yesmaximal, complemented
8#55800C214yesmaximal, complemented
9#52294C211yesmaximal, characteristic, complemented
10#48479C214yesmaximal, complemented
11#48015C214yesmaximal, complemented
12#47871C214yesmaximal, complemented
13#45598C212yesmaximal, complemented
14#45478C211yesmaximal, characteristic, complemented
15#45419C211yesmaximal, characteristic, complemented
16#45244C211yesmaximal, characteristic, complemented
17#44992C212yesmaximal, complemented
18#44884C212yesmaximal, complemented
19#42942C211yesmaximal, characteristic, complemented
20#42909C212yesmaximal, complemented
21#42889C212yesmaximal, complemented
22#42483C211yesmaximal, characteristic, complemented
23#40214C212yesmaximal, complemented
24#39396C212yesmaximal, complemented
25#39218C212yesmaximal, complemented
26#36887C214yesmaximal, complemented
27#36738C212yesmaximal, complemented
28#36429C212yesmaximal, complemented
29#36213C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#560C2212yes—
32C2×#556C2212yescomplemented
33C2×#550C2212yes—
34C2×#550C2212yes—
35C2×#550C2211yescharacteristic, complemented
36C2×#548C2212yes—
37C2×#547C2212yes—
38C2×#546C2211yescharacteristic
39C2×#538C2214yes—
40C2×#537C2211yescharacteristic, complemented
41C2×#537C2212yescomplemented
42#2860C2212yescomplemented
43#2849C2212yes—
44#2848C2211yescharacteristic
45#2847C2214yes—
46#2847C2212yes—
47#2827C2214yescomplemented
48#2818C2214yescomplemented
49#2816C2214yescomplemented
50#2815C2212yescomplemented
51#2814C2212yescomplemented
52#2812C2212yes—
53#2803C2214yescomplemented
54#2778C2214yescomplemented
55#2778C2214yescomplemented
56#2768C2214yescomplemented
57#2764C2212yescomplemented
58#2763C2211yescharacteristic
59#2763C2212yescomplemented
60#2755C2214yescomplemented
61#2753C2212yes—
62#2753C2212yescomplemented
63#2753C2212yescomplemented
64#2749C2214yescomplemented
65#2748C2214yescomplemented
66#2746C2214yes—
67#2740C2214yescomplemented
68#2739C2214yescomplemented
69#2736C2211yescharacteristic
70#2730C2214yescomplemented
71#2727C2214yescomplemented
72#2723C2214yescomplemented
73#2722C2212yes—
74#2715C2214yescomplemented
75#2714C2214yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2712C2211yescharacteristic
79#2712C2212yescomplemented
80#2710C2214yescomplemented
81#2709C2212yes—
82#2705C2214yescomplemented
83#2705C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2699C2214yescomplemented
87#2699C2214yescomplemented
88#2699C2214yescomplemented
89#2698C2214yescomplemented
90#2695C2214yescomplemented
91#2693C2212yes—
92#2691C2214yes—
93#2691C2214yescomplemented
94#2688C2214yescomplemented
95#2685C2214yes—
96#2685C2214yes—
97#2683C2212yescomplemented
98#2681C2214yescomplemented
99#2678C2214yes—
100#2678C2214yes—
101#2676C2214yescomplemented
102#2676C2214yescomplemented
103#2676C2214yescomplemented
104#2675C2212yes—
105#2675C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2672C2214yes—
110#2671C2214yescomplemented
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2670C2211yescharacteristic
114#2670C2212yes—
115#2669C2214yes—
116#2668C2214yes—
117#2661C2212yescomplemented
118#2657C2211yescharacteristic, complemented
119#2656C2214yescomplemented
120#2651C2214yescomplemented
121#2648C2214yescomplemented
122#2636C2214yescomplemented
123#2636C2214yescomplemented
124#2635C2214yescomplemented
125#2619C2214yescomplemented
126#2617C2212yes—
127#2617C2212yes—
128#2615C2212yescomplemented
129#2615C2211yescharacteristic, complemented
130#2607C2212yescomplemented
131#2598C2214yescomplemented
132#2592C2211yescharacteristic, complemented
133#2589C2214yescomplemented
134#2582C2212yescomplemented
135#2581C2212yescomplemented
136#2576C2214yescomplemented
137#2576C2214yescomplemented
138#2564C2214yescomplemented
139#2564C2214yescomplemented
140#2561C2212yes—
141#2559C2214yes—
142#2555C2214yescomplemented
143#2555C2212yescomplemented
144#2554C2214yescomplemented
145#2554C2214yescomplemented
146#2554C2214yescomplemented
147#2553C2214yes—
148#2549C2214yescomplemented
149#2548C2212yescomplemented
150#2543C2214yescomplemented
151#2543C2214yescomplemented
152#2541C2211yescharacteristic
153#2540C2214yescomplemented
154#2540C2212yescomplemented
155#2538C2212yescomplemented
156#2537C2212yescomplemented
157#2537C2212yescomplemented
158#2536C2212yes—
159#2523C2212yes—
160#2521C2214yescomplemented
161#2504C2211yescharacteristic, complemented
162#2501C2212yescomplemented
163#2496C2212yes—
164#2496C2212yescomplemented
165#2494C2212yescomplemented
166#2493C2214yescomplemented
167#2487C2212yescomplemented
168#2486C2211yescharacteristic
169#2474C2214yescomplemented
170#2468C2214yes—
171#2467C2214yescomplemented
172#2464C2214yescomplemented
173#2463C2212yes—
174#2456C2214yescomplemented
175#2449C2214yescomplemented
176#2434C2211yescharacteristic
177#2433C2214yes—
178#2433C2212yes—
179#2432C2212yes—
180#2432C2212yescomplemented
181#2431C2212yes—
182#2431C2212yes—
183#2431C2214yes—
184#2431C2214yes—
185#2431C2212yescomplemented
186#2431C2214yescomplemented
187#2431C2212yescomplemented
188#2430C2214yes—
189#2429C2212yescomplemented
190#2428C2214yes—
191#2428C2212yescomplemented
192#2428C2214yescomplemented
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2428C2214yescomplemented
196#2428C2212yescomplemented
197#2427C2212yes—
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2426C2212yescomplemented
201#2423C2212yescomplemented
202#2423C2212yescomplemented
203#2423C2212yescomplemented
204#2422C2212yes—
205#2420C2214yescomplemented
206#2420C2212yescomplemented
207#2420C2212yescomplemented
208#2418C2214yes—
209#2417C2214yescomplemented
210#2417C2212yescomplemented
211#2416C2212yes—
212#2416C2212yescomplemented
213#2416C2214yescomplemented
214#2414C2214yescomplemented
215#2410C2212yes—
216#2409C2211yescharacteristic
217#2408C2214yes—
218#2408C2212yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2214yes—
222#2407C2212yes—
223#2407C2214yes—
224#2406C2214yes—
225#2405C2212yes—
226#2404C2212yes—
227#2398C2211yescharacteristic
228#2398C2212yescomplemented
229#2388C2211yescharacteristic
230#2388C2212yescomplemented
231#2377C2214yescomplemented
232#2361C2212yescomplemented
233#2360C2212yescomplemented
234#2360C2212yescomplemented
235#2359C2214yes—
236#2352C2214yescomplemented
237#2341C2212yes—
238#2341C2212yes—
239#2341C2211yescharacteristic, complemented
240Q8×C22⋊C4C2212yes—
241#2339C2212yes—
242#2339C2212yescomplemented
243#2339C2214yescomplemented
244D4×C22⋊C4C2211yescharacteristic
245#2335C2214yescomplemented
246#2333C2214yescomplemented
247#2320C2212yescomplemented
248#2319C2211yescharacteristic, complemented
249C4×C4⋊Q8C2212yescomplemented
250C4×#127C2212yescomplemented
251C4×#124C2212yes—
252C4×#124C2212yescomplemented
253C4×#124C2212yescomplemented
254C4×#124C2212yescomplemented
255C4×#120C2214yes—
256C4×#120C2212yes—
257C4×#120C2211yescharacteristic
258C2×#385C2212yes—
259C22×#41—44no—
260C22×#41—48no—
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2312yes—
264C22×#41C2311yescharacteristic
265C22×#41C2314yes—
266C22×#41C2312yes—
267C22×#41C2311yescharacteristic
268C23×Q8C2311yescharacteristic
269C23×D4C2311yescharacteristic
270C23×D4C2312yes—
271C24×C4C2311yescharacteristic
272C24×C4C2312yes—
273#560—48no—
274#556—48no—
275#550—44no—
276#550—48no—
277#550—48no—
278#548—48no—
279#547—48no—
280#546—44no—
281#538—416no—
282#537—44no—
283#537—48no—
284C2×C4⋊Q8C2312yes—
285C2×#127C2312yes—
286C2×#127C2314yes—
287C2×#127C2312yes—
288C2×#127C2311yescharacteristic
289C2×#127C2312yes—
290C2×#127C2314yes—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2311yescharacteristic
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2312yes—
309C2×#123C2314yes—
310C2×#123C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#120C2311yescharacteristic
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2312yes—
356C2×#120C2314yes—
357C2×#120C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×#117C2314yes—
380C22×C4⋊C4C2314yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#397C2312yes—
410#397C2312yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2312yes—
416#397C2311yescharacteristic
417#397C2312yes—
418#397C2314yes—
419#397C2311yescharacteristic
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#395C2312yes—
434#395C2314yes—
435#395C2311yescharacteristic
436#395C2312yes—
437#395C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2311yescharacteristic
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#393C2312yes—
475#393C2312yes—
476#393C2311yescharacteristic
477#393C2312yes—
478#393C2312yes—
479#393C2311yescharacteristic
480#393C2312yes—
481#393C2311yescharacteristic
482#393C2312yes—
483#392C2312yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2312yes—
490#392C2312yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2312yes—
495#392C2311yescharacteristic
496#392C2312yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2312yes—
504#392C2312yes—
505#392C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2314yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2312yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2311yescharacteristic
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2312yes—
659#385C2314yes—
660#385C2312yes—
661#385C2311yescharacteristic
662#385C2312yes—
663#384C2312yes—
664#384C2312yes—
665#383C2314yes—
666#382C2314yes—
667#382C2312yes—
668#382C2312yes—
669#382C2312yes—
670#382C2312yes—
671#381C2314yes—
672#381C2314yes—
673#381C2312yes—
674#381C2314yes—
675#381C2314yes—
676#381C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2311yescharacteristic
688#380C2312yes—
689#380C2312yes—
690#380C2311yescharacteristic
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694#379C2314yes—
695#379C2312yes—
696#379C2312yes—
697#379C2311yescharacteristic
698#379C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2311yescharacteristic
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721#376C2311yescharacteristic
722C2×#95C2314yes—
723C2×#95C2314yes—
724C43C2312yes—
725C25C2412yes—
726C25C2411yescharacteristic
727C2×#41—28no—
728C2×#41—28no—
729C2×#41—28no—
730C2×#41—28no—
731C2×#41—24no—
732C2×#41—42no—
733C2×#41—44no—
734C2×#41—48no—
735C2×#41—44no—
736C2×#41—48no—
737C2×#41—44no—
738C2×#41—48no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—44no—
743C2×#41—44no—
744C2×#41—48no—
745C2×#41—464no—
746C22×Q8—28no—
747C22×Q8—42no—
748C22×Q8C2411yescharacteristic
749C22×Q8C2411yescharacteristic
750C22×Q8C2412yes—
751C22×Q8C2412yes—
752C22×Q8C2412yes—
753C22×Q8C2411yescharacteristic
754C22×D4—24no—
755C22×D4—44no—
756C22×D4—48no—
757C22×D4—44no—
758C22×D4C2412yes—
759C22×D4C2411yescharacteristic
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2411yescharacteristic
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2411yescharacteristic
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2411yescharacteristic
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C23×C4—48no—
788C23×C4—44no—
789C23×C4—42no—
790C23×C4—44no—
791C23×C4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C23×C4C2412yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2412yes—
800C23×C4C2414yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2412yes—
806C23×C4C2411yescharacteristic
807C23×C4C2412yes—
808C4⋊Q8—28no—
809#127—28no—
810#127—48no—
811#127—42no—
812#127—44no—
813#127—48no—
814#127—44no—
815#126—48no—
816#126—48no—
817#126—48no—
818#126—48no—
819#126—48no—
820#124—28no—
821#124—28no—
822#124—44no—
823#124—42no—
824#124—44no—
825#124—44no—
826#124—48no—
827#124—48no—
828#123—216no—
829#123—48no—
830#123—48no—
831#123—44no—
832#123—48no—
833#123—44no—
834#123—48no—
835C22⋊Q8—28no—
836C22⋊Q8—28no—
837C22⋊Q8—44no—
838C22⋊Q8—48no—
839C22⋊Q8—48no—
840C22⋊Q8—48no—
841C22⋊Q8—44no—
842C22⋊Q8—48no—
843C22⋊Q8—42no—
844C22⋊Q8—44no—
845#121—28no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—48no—
851#121—48no—
852#121—48no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—44no—
862#121—44no—
863#121—42no—
864#121—44no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—44no—
872#121—44no—
873#121—48no—
874#121—44no—
875#120—24no—
876#120—48no—
877#120—44no—
878#120—48no—
879#120—48no—
880#120—44no—
881#120—48no—
882C4×Q8—28no—
883C4×Q8—42no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×D4—24no—
889C4×D4—48no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—48no—
894C4×D4—42no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—48no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—48no—
901C4×D4—48no—
902C4×D4—48no—
903#117—48no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—42no—
906C2×C4⋊C4—48no—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C22⋊C4—28no—
946C2×C22⋊C4—44no—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2411yescharacteristic
1043#95C2411yescharacteristic
1044#95C2412yes—
1045#95C2412yes—
1046#95C2411yescharacteristic
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2411yescharacteristic
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084C24—24no—
1085C24—24no—
1086C24—22no—
1087C24—41no—
1088C24—44no—
1089C24—42no—
1090C24—42no—
1091C24—44no—
1092C24—42no—
1093C24—41no—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2514yes—
1097C24C2511yescharacteristic
1098C24C2512yes—
1099C24C2511yescharacteristic
1100C24C2512yes—
1101#41—432no—
1102#41—432no—
1103#41—464no—
1104#41—88no—
1105#41—88no—
1106#41—816no—
1107#41—816no—
1108C2×Q8—24no—
1109C2×Q8—24no—
1110C2×Q8—24no—
1111C2×Q8—22no—
1112C2×Q8—28no—
1113C2×Q8—24no—
1114C2×Q8—24no—
1115C2×Q8—41no—
1116C2×Q8—42no—
1117C2×Q8—42no—
1118C2×Q8—41no—
1119C2×Q8—42no—
1120C2×Q8—42no—
1121C2×Q8—416no—
1122C2×Q8H(5,𝔽2)18yes—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—22no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—24no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—28no—
1137C2×D4—22no—
1138C2×D4—28no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—24no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—41no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—41no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—41no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4—416no—
1203C2×D4—432no—
1204C2×D4H(5,𝔽2)14yes—
1205C22×C4—28no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—28no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—41no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—432no—
1251C22×C4—416no—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2514yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—41no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—41no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—41no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—41no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—41no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4H(5,𝔽2)14yes—
1385C42—28no—
1386C42—22no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—42no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—42no—
1399C42—42no—
1400C23—22no—
1401C23—21no—
1402C23—22no—
1403C23—24no—
1404C23—22no—
1405C23—24no—
1406C23—21no—
1407C23—22no—
1408C23—24no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—24no—
1415C23—22no—
1416C23—24no—
1417C23—22no—
1418C23—22no—
1419C23—21no—
1420C23—24no—
1421C23—22no—
1422C23—21no—
1423C23—24no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—24no—
1430C23—22no—
1431C23—22no—
1432C23—24no—
1433C23—24no—
1434C23—21no—
1435C23—22no—
1436C23—22no—
1437C23—24no—
1438C23—22no—
1439C23—48no—
1440C23—48no—
1441C23—44no—
1442C23—88no—
1443C23—84no—
1444C23—84no—
1445C23—82no—
1446C23—82no—
1447C23—88no—
1448C23—84no—
1449C23C2×H(5,𝔽2)12yes—
1450C23C2×H(5,𝔽2)14yes—
1451C23C2611yescharacteristic
1452Q8—216no—
1453Q8—48no—
1454Q8—44no—
1455Q8—44no—
1456Q8—84no—
1457Q8—82no—
1458D4—28no—
1459D4—416no—
1460D4—416no—
1461D4—416no—
1462D4—48no—
1463D4—44no—
1464D4—48no—
1465D4—84no—
1466D4—84no—
1467D4—88no—
1468D4—88no—
1469D4—84no—
1470D4—88no—
1471D4—88no—
1472D4—82no—
1473D4—84no—
1474D4—88no—
1475D4—84no—
1476D4—84no—
1477D4—84no—
1478D4—82no—
1479D4—164no—
1480D4—164no—
1481D4—164no—
1482D4—164no—
1483D4—164no—
1484D4—162no—
1485D4—164no—
1486D4—162no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—48no—
1543C2×C4—416no—
1544C2×C4—416no—
1545C2×C4—44no—
1546C2×C4—48no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—48no—
1550C2×C4—44no—
1551C2×C4—88no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—88no—
1555C2×C4—84no—
1556C2×C4—84no—
1557C2×C4—164no—
1558C2×C4—162no—
1559C2×C4C2×H(5,𝔽2)14yes—
1560C2×C4C2×H(5,𝔽2)18yes—
1561C2×C4C2×H(5,𝔽2)14yes—
1562C2×C4C2×H(5,𝔽2)12yes—
1563C2×C4#58514yes—
1564C22—24no—
1565C22—24no—
1566C22—24no—
1567C22—22no—
1568C22—24no—
1569C22—44no—
1570C22—41no—
1571C22—44no—
1572C22—42no—
1573C22—41no—
1574C22—44no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—44no—
1580C22—44no—
1581C22—42no—
1582C22—44no—
1583C22—42no—
1584C22—42no—
1585C22—41no—
1586C22—42no—
1587C22—41no—
1588C22—42no—
1589C22—44no—
1590C22—42no—
1591C22—42no—
1592C22—44no—
1593C22—42no—
1594C22—42no—
1595C22—44no—
1596C22—44no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—41no—
1604C22—44no—
1605C22—816no—
1606C22—88no—
1607C22C22×H(5,𝔽2)11yescharacteristic
1608C22C22×H(5,𝔽2)12yes—
1609C22C22×H(5,𝔽2)11yescharacteristic
1610C22C2×#58512yes—
1611C222−1+611yescharacteristic
1612C4—24no—
1613C4—24no—
1614C4—28no—
1615C4—44no—
1616C4—44no—
1617C4—44no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—41no—
1622C4—44no—
1623C4—42no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—41no—
1630C4—42no—
1631C4—41no—
1632C4—42no—
1633C4#353214yes—
1634C2—44no—
1635C2—42no—
1636C2—84no—
1637C2—82no—
1638C2—81no—
1639C2—82no—
1640C2—82no—
1641C2C2×#353211yescharacteristic
1642C2#6291411yescharacteristic
1643C2#6292212yes—
1644C2#6301412yes—
1645C2#6301711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59419C2semidirect
2. #59415C2semidirect
3. #59410C2semidirect
4. #59371C2semidirect
5. #58256C2semidirect
6. #57152C2semidirect
7. #57148C2semidirect
8. #55800C2semidirect
9. #52294C2semidirect
10. #48479C2semidirect
11. #48015C2semidirect
12. #47871C2semidirect
13. #45598C2semidirect
14. #45478C2semidirect
15. #45419C2semidirect
16. #45244C2semidirect
17. #44992C2semidirect
18. #44884C2semidirect
19. #42942C2semidirect
20. #42909C2semidirect
21. #42889C2semidirect
22. #42483C2semidirect
23. #40214C2semidirect
24. #39396C2semidirect
25. #39218C2semidirect
26. #36887C2semidirect
27. #36738C2semidirect
28. #36429C2semidirect
29. #36213C2semidirect
32. C2×#556C22semidirect
35. C2×#550C22semidirect
40. C2×#537C22semidirect
41. C2×#537C22semidirect
42. #2860C22semidirect
47. #2827C22semidirect
48. #2818C22semidirect
49. #2816C22semidirect
50. #2815C22semidirect
51. #2814C22semidirect
53. #2803C22semidirect
54. #2778C22semidirect
55. #2778C22semidirect
56. #2768C22semidirect
57. #2764C22semidirect
59. #2763C22semidirect
60. #2755C22semidirect
62. #2753C22semidirect
63. #2753C22semidirect
64. #2749C22semidirect
65. #2748C22semidirect
67. #2740C22semidirect
68. #2739C22semidirect
70. #2730C22semidirect
71. #2727C22semidirect
72. #2723C22semidirect
74. #2715C22semidirect
75. #2714C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
79. #2712C22semidirect
80. #2710C22semidirect
82. #2705C22semidirect
83. #2705C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2699C22semidirect
87. #2699C22semidirect
88. #2699C22semidirect
89. #2698C22semidirect
90. #2695C22semidirect
93. #2691C22semidirect
94. #2688C22semidirect
97. #2683C22semidirect
98. #2681C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
103. #2676C22semidirect
105. #2675C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
110. #2671C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
117. #2661C22semidirect
118. #2657C22semidirect
119. #2656C22semidirect
120. #2651C22semidirect
121. #2648C22semidirect
122. #2636C22semidirect
123. #2636C22semidirect
124. #2635C22semidirect
125. #2619C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2607C22semidirect
131. #2598C22semidirect
132. #2592C22semidirect
133. #2589C22semidirect
134. #2582C22semidirect
135. #2581C22semidirect
136. #2576C22semidirect
137. #2576C22semidirect
138. #2564C22semidirect
139. #2564C22semidirect
142. #2555C22semidirect
143. #2555C22semidirect
144. #2554C22semidirect
145. #2554C22semidirect
146. #2554C22semidirect
148. #2549C22semidirect
149. #2548C22semidirect
150. #2543C22semidirect
151. #2543C22semidirect
153. #2540C22semidirect
154. #2540C22semidirect
155. #2538C22semidirect
156. #2537C22semidirect
157. #2537C22semidirect
160. #2521C22semidirect
161. #2504C22semidirect
162. #2501C22semidirect
164. #2496C22semidirect
165. #2494C22semidirect
166. #2493C22semidirect
167. #2487C22semidirect
169. #2474C22semidirect
171. #2467C22semidirect
172. #2464C22semidirect
174. #2456C22semidirect
175. #2449C22semidirect
180. #2432C22semidirect
185. #2431C22semidirect
186. #2431C22semidirect
187. #2431C22semidirect
189. #2429C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
201. #2423C22semidirect
202. #2423C22semidirect
203. #2423C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2420C22semidirect
209. #2417C22semidirect
210. #2417C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2414C22semidirect
228. #2398C22semidirect
230. #2388C22semidirect
231. #2377C22semidirect
232. #2361C22semidirect
233. #2360C22semidirect
234. #2360C22semidirect
236. #2352C22semidirect
239. #2341C22semidirect
242. #2339C22semidirect
243. #2339C22semidirect
245. #2335C22semidirect
246. #2333C22semidirect
247. #2320C22semidirect
248. #2319C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×#127C22semidirect
252. C4×#124C22semidirect
253. C4×#124C22semidirect
254. C4×#124C22semidirect

Maximal subgroups

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

subgroupindex
#594192
#594152
#594102
#593712
#582562
#571522
#571482
#558002
#522942
#484792
#480152
#478712
#455982
#454782
#454192
#452442
#449922
#448842
#429422
#429092
#428892
#424832
#402142
#393962
#392182
#368872
#367382
#364292
#362132