Finite Group Databasebeta

← #8096627

Subgroups — #8096627

Order 512.

6234 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53096C212yesmaximal, complemented
2#53088C212yesmaximal, complemented
3#52993C211yesmaximal, characteristic, complemented
4#52960C211yesmaximal, characteristic, complemented
5#52586C212yesmaximal, complemented
6#52529C214yesmaximal, complemented
7#52397C212yesmaximal, complemented
8#52375C214yesmaximal, complemented
9#52292C211yesmaximal, characteristic, complemented
10C2×#2693C212yesmaximal, complemented
11#45669C212yesmaximal, complemented
12#45632C212yesmaximal, complemented
13#45623C212yesmaximal, complemented
14#45593C212yesmaximal, complemented
15#45569C212yesmaximal, complemented
16#45537C214yesmaximal, complemented
17#45529C214yesmaximal, complemented
18#45478C211yesmaximal, characteristic, complemented
19#45465C214yesmaximal, complemented
20#45455C214yesmaximal, complemented
21#36214C212yesmaximal, complemented
22#36213C211yesmaximal, characteristic, complemented
23#36212C212yesmaximal, complemented
24#36153C212yesmaximal, complemented
25D4×#123C212yesmaximal, complemented
26#35976C211yesmaximal, characteristic, complemented
27#35921C211yesmaximal, characteristic, complemented
28#35888C212yesmaximal, complemented
29#35821C212yesmaximal, complemented
30C23×#41C2211yescharacteristic
31C2×#560C2212yescomplemented
32C2×#547C2212yes—
33C2×#546C2212yes—
34C2×#546C2211yescharacteristic
35C2×#546C2212yes—
36C2×#546C2212yescomplemented
37C2×D42C2212yes—
38C2×D42C2211yescharacteristic, complemented
39C22×#123C2214yescomplemented
40C2×#520C2211yescharacteristic, complemented
41C22×C4×D4C2212yescomplemented
42#2857C2212yescomplemented
43#2854C2212yescomplemented
44#2850C2212yescomplemented
45#2849C2214yescomplemented
46#2849C2212yescomplemented
47#2849C2214yescomplemented
48#2848C2211yescharacteristic, complemented
49#2847C2212yescomplemented
50#2847C2214yescomplemented
51#2847C2214yescomplemented
52#2841C2212yescomplemented
53#2841C2214yescomplemented
54#2838C2214yescomplemented
55#2837C2214yescomplemented
56#2834C2212yescomplemented
57#2830C2212yescomplemented
58#2829C2214yescomplemented
59#2828C2214yescomplemented
60#2827C2214yescomplemented
61#2826C2212yescomplemented
62#2826C2214yescomplemented
63#2826C2214yescomplemented
64#2825C2214yescomplemented
65#2825C2214yescomplemented
66#2824C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2813C2214yescomplemented
70#2812C2212yescomplemented
71#2807C2211yescharacteristic, complemented
72#2807C2214yescomplemented
73#2796C2212yescomplemented
74#2784C2214yescomplemented
75#2784C2212yescomplemented
76#2780C2214yescomplemented
77#2780C2212yescomplemented
78#2778C2214yescomplemented
79#2778C2214yescomplemented
80#2778C2212yescomplemented
81#2778C2214yescomplemented
82#2778C2214yescomplemented
83#2760C2212yescomplemented
84#2757C2214yescomplemented
85#2757C2214yescomplemented
86#2757C2214yescomplemented
87#2756C2214yescomplemented
88#2749C2214yescomplemented
89#2748C2214yescomplemented
90#2748C2214yescomplemented
91#2746C2212yescomplemented
92#2742C2214yescomplemented
93#2737C2214yescomplemented
94#2735C2211yescharacteristic, complemented
95#2709C2214yescomplemented
96#2709C2214yescomplemented
97#2709C2212yescomplemented
98#2705C2214yescomplemented
99#2705C2214yescomplemented
100#2703C2214yescomplemented
101#2703C2214yescomplemented
102#2703C2214yescomplemented
103#2697C2214yescomplemented
104#2693C2212yes—
105#2693C2211yescharacteristic
106#2693C2212yescomplemented
107#2693C2214yescomplemented
108#2693C2214yescomplemented
109#2693C2214yescomplemented
110#2693C2214yescomplemented
111#2693C2214yescomplemented
112#2693C2214yescomplemented
113#2693C2214yescomplemented
114#2693C2212yescomplemented
115#2691C2214yescomplemented
116#2688C2214yescomplemented
117#2688C2212yescomplemented
118#2678C2214yescomplemented
119#2678C2212yescomplemented
120#2673C2214yescomplemented
121#2673C2214yescomplemented
122#2668C2211yescharacteristic
123#2657C2211yescharacteristic, complemented
124#2656C2212yescomplemented
125#2645C2212yescomplemented
126#2643C2214yescomplemented
127#2624C2211yescharacteristic, complemented
128#2623C2212yescomplemented
129#2620C2212yescomplemented
130#2618C2214yescomplemented
131#2547C2212yescomplemented
132#2545C2212yescomplemented
133#2544C2212yescomplemented
134#2543C2214yescomplemented
135#2541C2211yescharacteristic
136#2541C2212yescomplemented
137#2540C2212yes—
138#2540C2211yescharacteristic, complemented
139#2539C2212yes—
140#2539C2214yescomplemented
141#2538C2212yescomplemented
142#2537C2212yescomplemented
143#2535C2212yescomplemented
144#2534C2214yescomplemented
145#2534C2214yescomplemented
146#2514C2212yescomplemented
147#2511C2212yescomplemented
148#2511C2212yescomplemented
149#2510C2214yescomplemented
150#2504C2211yescharacteristic, complemented
151#2501C2212yescomplemented
152#2498C2212yescomplemented
153#2497C2212yescomplemented
154#2496C2212yescomplemented
155#2495C2212yescomplemented
156#2493C2214yescomplemented
157#2493C2214yescomplemented
158#2493C2214yescomplemented
159#2486C2214yescomplemented
160#2486C2212yescomplemented
161#2486C2211yescharacteristic, complemented
162#2482C2212yescomplemented
163#2481C2214yescomplemented
164#2481C2214yescomplemented
165#2448C2212yescomplemented
166#2445C2212yescomplemented
167#2445C2212yescomplemented
168#2444C2214yescomplemented
169#2443C2214yescomplemented
170#2443C2214yescomplemented
171#2436C2212yescomplemented
172#2434C2211yescharacteristic, complemented
173#2433C2214yes—
174#2433C2212yescomplemented
175#2432C2212yescomplemented
176#2431C2212yescomplemented
177#2431C2212yescomplemented
178#2430C2214yescomplemented
179#2430C2214yescomplemented
180#2430C2214yescomplemented
181#2429C2212yescomplemented
182#2428C2212yescomplemented
183#2427C2212yescomplemented
184#2427C2212yescomplemented
185#2427C2212yescomplemented
186#2426C2212yescomplemented
187#2425C2214yescomplemented
188#2425C2214yescomplemented
189#2425C2214yescomplemented
190#2425C2214yescomplemented
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2422C2212yescomplemented
194#2422C2212yescomplemented
195#2421C2212yescomplemented
196#2418C2214yescomplemented
197#2418C2214yescomplemented
198#2418C2214yescomplemented
199#2417C2212yescomplemented
200#2417C2212yescomplemented
201#2417C2212yescomplemented
202#2417C2212yescomplemented
203#2416C2212yescomplemented
204#2416C2214yescomplemented
205#2416C2214yescomplemented
206#2416C2212yescomplemented
207#2413C2214yescomplemented
208#2412C2214yescomplemented
209#2412C2214yescomplemented
210#2412C2214yescomplemented
211#2412C2214yescomplemented
212#2411C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2212yescomplemented
215#2410C2214yescomplemented
216#2409C2212yescomplemented
217#2409C2211yescharacteristic, complemented
218#2407C2212yescomplemented
219#2407C2212yescomplemented
220#2407C2212yescomplemented
221#2406C2214yescomplemented
222#2405C2212yescomplemented
223#2405C2214yescomplemented
224#2404C2214yescomplemented
225#2404C2214yescomplemented
226#2403C2214yescomplemented
227#2401C2212yescomplemented
228#2397C2211yescharacteristic
229#2395C2211yescharacteristic, complemented
230C2×#400C2214yescomplemented
231#2392C2212yescomplemented
232C2×#397C2212yescomplemented
233C2×#396C2214yescomplemented
234C2×#392C2212yes—
235#2380C2214yescomplemented
236#2377C2214yescomplemented
237#2376C2214yescomplemented
238#2376C2214yescomplemented
239#2349C2212yescomplemented
240D4×C4⋊C4C2212yescomplemented
241D4×C4⋊C4C2212yescomplemented
242#2339C2212yes—
243#2339C2212yes—
244#2339C2212yes—
245#2339C2211yescharacteristic, complemented
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2211yescharacteristic
248D4×C22⋊C4C2212yescomplemented
249C4×#123C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#120C2212yescomplemented
253C4×#120C2211yescharacteristic, complemented
254C2×#386C2214yescomplemented
255C2×#386C2214yescomplemented
256C2×#385C2212yescomplemented
257C2×#380C2214yescomplemented
258#2275C2211yescharacteristic, complemented
259C22×#41—48no—
260C22×#41—44no—
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2314yes—
264C22×#41C2312yes—
265C23×Q8C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2312yes—
269C23×D4C2314yes—
270C23×D4C2312yes—
271C24×C4C2311yescharacteristic
272C24×C4C2312yes—
273C24×C4C2314yes—
274#560—48no—
275#547—48no—
276#546—48no—
277#546—48no—
278#546—44no—
279#546—48no—
280D42—48no—
281D42—44no—
282C2×C4⋊Q8C2312yes—
283C2×#127C2314yes—
284C2×#127C2311yescharacteristic
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#126C2314yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2311yescharacteristic
292C2×#123—416no—
293C2×#123C2314yes—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2312yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#120C2311yescharacteristic
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2312yes—
343C2×#120C2314yes—
344C2×#120C2312yes—
345#520—44no—
346C2×C4×Q8C2312yes—
347C2×C4×D4—48no—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C22×C4⋊C4C2314yes—
368C22×C4⋊C4C2314yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2314yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C42C2312yes—
382#401C2314yes—
383#401C2314yes—
384#401C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2311yescharacteristic
400#400C2312yes—
401#399C2311yescharacteristic
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2311yescharacteristic
406#399C2312yes—
407#399C2311yescharacteristic
408#399C2312yes—
409#399C2312yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2311yescharacteristic
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2311yescharacteristic
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#395C2312yes—
462#395C2314yes—
463#395C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#393C2312yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#392C2312yes—
498#392C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2312yes—
510#392C2314yes—
511#392C2311yescharacteristic
512#392C2314yes—
513#392C2312yes—
514#392C2312yes—
515#392C2312yes—
516#392C2311yescharacteristic
517#392C2314yes—
518#392C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#386C2314yes—
582#386C2314yes—
583#386C2312yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2312yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2311yescharacteristic
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2312yes—
619#386C2314yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2312yes—
636#386C2312yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2311yescharacteristic
662#384C2312yes—
663#384C2312yes—
664#383C2314yes—
665#383C2314yes—
666#382C2312yes—
667#381C2314yes—
668#381C2312yes—
669#381C2312yes—
670#381C2314yes—
671#381C2314yes—
672#381C2314yes—
673#381C2312yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2311yescharacteristic
686#380C2312yes—
687#380C2312yes—
688#380C2311yescharacteristic
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#379C2312yes—
699#379C2314yes—
700#379C2312yes—
701#379C2314yes—
702#379C2311yescharacteristic
703#379C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718#376C2311yescharacteristic
719C2×#95C2314yes—
720C2×#95C2314yes—
721C2×#95C2314yes—
722C2×#95C2312yes—
723C2×#95C2314yes—
724C2×#95C2312yes—
725C25C2414yes—
726C25C2412yes—
727C25C2411yescharacteristic
728C2×#41—24no—
729C2×#41—28no—
730C2×#41—28no—
731C2×#41—28no—
732C2×#41—28no—
733C2×#41—48no—
734C2×#41—48no—
735C2×#41—48no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—464no—
740C22×Q8—44no—
741C22×Q8—42no—
742C22×Q8C2411yescharacteristic
743C22×Q8C2412yes—
744C22×Q8C2412yes—
745C22×D4—28no—
746C22×D4—28no—
747C22×D4—28no—
748C22×D4—28no—
749C22×D4—24no—
750C22×D4—44no—
751C22×D4—48no—
752C22×D4—44no—
753C22×D4—48no—
754C22×D4—48no—
755C22×D4—48no—
756C22×D4—48no—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2411yescharacteristic
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2411yescharacteristic
783C23×C4—44no—
784C23×C4—42no—
785C23×C4—48no—
786C23×C4—44no—
787C23×C4—48no—
788C23×C4—48no—
789C23×C4—48no—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2411yescharacteristic
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2414yes—
802C23×C4C2412yes—
803C23×C4C2414yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2414yes—
807C23×C4C2411yescharacteristic
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2414yes—
811C4⋊Q8—44no—
812#127—44no—
813#127—42no—
814#127—48no—
815#127—44no—
816#126—48no—
817#124—44no—
818#124—44no—
819#124—44no—
820#124—42no—
821#123—28no—
822#123—216no—
823#123—48no—
824#123—48no—
825#123—48no—
826#123—48no—
827#123—44no—
828#123—48no—
829#123—48no—
830#123—48no—
831#123—48no—
832#123—48no—
833#123—44no—
834#123—48no—
835#123—48no—
836#123—48no—
837C22⋊Q8—44no—
838C22⋊Q8—44no—
839C22⋊Q8—44no—
840C22⋊Q8—42no—
841C22⋊Q8—44no—
842C22⋊Q8—44no—
843#121—48no—
844#121—48no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—42no—
852#121—44no—
853#121—48no—
854#121—44no—
855#121—48no—
856#121—48no—
857#121—44no—
858#121—48no—
859#121—48no—
860#121—44no—
861#121—48no—
862#121—48no—
863#120—24no—
864#120—48no—
865#120—48no—
866#120—48no—
867#120—48no—
868#120—48no—
869#120—44no—
870#120—48no—
871#120—48no—
872#120—44no—
873C4×Q8—44no—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—28no—
877C4×D4—28no—
878C4×D4—24no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—42no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—48no—
889C4×D4—48no—
890C4×D4—48no—
891#117—42no—
892#117—44no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4—42no—
895C2×C4⋊C4—48no—
896C2×C4⋊C4—48no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4—48no—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C22⋊C4—28no—
941C2×C22⋊C4—48no—
942C2×C22⋊C4—48no—
943C2×C22⋊C4—48no—
944C2×C22⋊C4—44no—
945C2×C22⋊C4—48no—
946C2×C22⋊C4—48no—
947C2×C22⋊C4—48no—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2411yescharacteristic
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C42—44no—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031#95C2411yescharacteristic
1032#95C2411yescharacteristic
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2411yescharacteristic
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084C24—24no—
1085C24—28no—
1086C24—28no—
1087C24—28no—
1088C24—24no—
1089C24—28no—
1090C24—28no—
1091C24—22no—
1092C24—44no—
1093C24—41no—
1094C24—42no—
1095C24—44no—
1096C24—44no—
1097C24—42no—
1098C24—44no—
1099C24—42no—
1100C24—41no—
1101C24C2512yes—
1102C24C2512yes—
1103C24C2514yes—
1104C24C2511yescharacteristic
1105C24C2511yescharacteristic
1106C24C2512yes—
1107C24C2512yes—
1108#41—464no—
1109#41—432no—
1110#41—416no—
1111#41—432no—
1112C2×Q8—22no—
1113C2×Q8—24no—
1114C2×Q8—24no—
1115C2×Q8—24no—
1116C2×Q8—24no—
1117C2×Q8—44no—
1118C2×Q8—42no—
1119C2×Q8—416no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—22no—
1134C2×D4—28no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—41no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—41no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—41no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—42no—
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—42no—
1189C2×D4—432no—
1190C2×D4—432no—
1191C2×D4—416no—
1192C2×D4—832no—
1193C2×D4—816no—
1194C2×D4H(5,𝔽2)18yes—
1195C2×D4H(5,𝔽2)14yes—
1196C22×C4—24no—
1197C22×C4—28no—
1198C22×C4—28no—
1199C22×C4—28no—
1200C22×C4—28no—
1201C22×C4—28no—
1202C22×C4—24no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—28no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—24no—
1209C22×C4—28no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—42no—
1222C22×C4—41no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—432no—
1254C22×C4—416no—
1255C22×C4—832no—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2514yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2514yes—
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—41no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—41no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—41no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—41no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—41no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—41no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4H(5,𝔽2)14yes—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—24no—
1395C42—22no—
1396C42—42no—
1397C42—42no—
1398C42—44no—
1399C42—42no—
1400C42—44no—
1401C23—22no—
1402C23—24no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—21no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—21no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—24no—
1417C23—24no—
1418C23—22no—
1419C23—24no—
1420C23—21no—
1421C23—22no—
1422C23—24no—
1423C23—22no—
1424C23—21no—
1425C23—22no—
1426C23—22no—
1427C23—24no—
1428C23—22no—
1429C23—22no—
1430C23—24no—
1431C23—22no—
1432C23—24no—
1433C23—24no—
1434C23—22no—
1435C23—22no—
1436C23—24no—
1437C23—21no—
1438C23—416no—
1439C23—416no—
1440C23—416no—
1441C23—416no—
1442C23—48no—
1443C23—44no—
1444C23—48no—
1445C23—416no—
1446C23—88no—
1447C23—84no—
1448C23—88no—
1449C23—88no—
1450C23—88no—
1451C23—84no—
1452C23—82no—
1453C23—82no—
1454C23—84no—
1455C23C2×H(5,𝔽2)12yes—
1456C23C2×H(5,𝔽2)18yes—
1457C23C2×H(5,𝔽2)14yes—
1458C23#58514yes—
1459C23C2611yescharacteristic
1460Q8—48no—
1461Q8—48no—
1462Q8—44no—
1463D4—48no—
1464D4—44no—
1465D4—416no—
1466D4—416no—
1467D4—48no—
1468D4—416no—
1469D4—48no—
1470D4—48no—
1471D4—44no—
1472D4—84no—
1473D4—84no—
1474D4—84no—
1475D4—84no—
1476D4—82no—
1477D4—88no—
1478D4—88no—
1479D4—88no—
1480D4—88no—
1481D4—84no—
1482D4—164no—
1483D4—164no—
1484D4—162no—
1485D4—164no—
1486D4—164no—
1487D4—162no—
1488D4#560116yescomplemented
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—416no—
1547C2×C4—48no—
1548C2×C4—44no—
1549C2×C4—48no—
1550C2×C4—48no—
1551C2×C4—416no—
1552C2×C4—416no—
1553C2×C4—48no—
1554C2×C4—44no—
1555C2×C4—48no—
1556C2×C4—48no—
1557C2×C4—44no—
1558C2×C4—88no—
1559C2×C4—88no—
1560C2×C4—88no—
1561C2×C4—88no—
1562C2×C4—88no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—88no—
1566C2×C4—162no—
1567C2×C4C2×H(5,𝔽2)14yes—
1568C2×C4C2×H(5,𝔽2)14yes—
1569C2×C4C2×H(5,𝔽2)12yes—
1570C22—28no—
1571C22—24no—
1572C22—28no—
1573C22—24no—
1574C22—24no—
1575C22—24no—
1576C22—24no—
1577C22—24no—
1578C22—22no—
1579C22—42no—
1580C22—41no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—41no—
1585C22—42no—
1586C22—44no—
1587C22—44no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—44no—
1592C22—44no—
1593C22—42no—
1594C22—41no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—44no—
1599C22—44no—
1600C22—44no—
1601C22—42no—
1602C22—41no—
1603C22—42no—
1604C22—44no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—41no—
1609C22—44no—
1610C22—832no—
1611C22—816no—
1612C22—88no—
1613C22C2×#56018yes—
1614C22C22×H(5,𝔽2)11yescharacteristic
1615C22C22×H(5,𝔽2)12yes—
1616C22C22×H(5,𝔽2)11yescharacteristic
1617C22C2×#58512yes—
1618C222−1+611yescharacteristic
1619C4—24no—
1620C4—44no—
1621C4—42no—
1622C4—44no—
1623C4—42no—
1624C4—44no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—41no—
1634C4—41no—
1635C4—42no—
1636C4—41no—
1637C4—44no—
1638C4—42no—
1639C4—42no—
1640C4C2×#56014yes—
1641C2—28no—
1642C2—44no—
1643C2—42no—
1644C2—81no—
1645C2—84no—
1646C2—82no—
1647C2—82no—
1648C2C22×#56011yescharacteristic
1649C2#6289812yes—
1650C2#6291411yescharacteristic
1651C2#6301212yes—
1652C2#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. #53096C2semidirect
2. #53088C2semidirect
3. #52993C2semidirect
4. #52960C2semidirect
5. #52586C2semidirect
6. #52529C2semidirect
7. #52397C2semidirect
8. #52375C2semidirect
9. #52292C2semidirect
10. C2×#2693C2semidirect
11. #45669C2semidirect
12. #45632C2semidirect
13. #45623C2semidirect
14. #45593C2semidirect
15. #45569C2semidirect
16. #45537C2semidirect
17. #45529C2semidirect
18. #45478C2semidirect
19. #45465C2semidirect
20. #45455C2semidirect
21. #36214C2semidirect
22. #36213C2semidirect
23. #36212C2semidirect
24. #36153C2semidirect
25. D4×#123C2semidirect
26. #35976C2semidirect
27. #35921C2semidirect
28. #35888C2semidirect
29. #35821C2semidirect
31. C2×#560C22semidirect
36. C2×#546C22semidirect
38. C2×D42C22semidirect
39. C22×#123C22semidirect
40. C2×#520C22semidirect
41. C22×C4×D4C22semidirect
42. #2857C22semidirect
43. #2854C22semidirect
44. #2850C22semidirect
45. #2849C22semidirect
46. #2849C22semidirect
47. #2849C22semidirect
48. #2848C22semidirect
49. #2847C22semidirect
50. #2847C22semidirect
51. #2847C22semidirect
52. #2841C22semidirect
53. #2841C22semidirect
54. #2838C22semidirect
55. #2837C22semidirect
56. #2834C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2827C22semidirect
61. #2826C22semidirect
62. #2826C22semidirect
63. #2826C22semidirect
64. #2825C22semidirect
65. #2825C22semidirect
66. #2824C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2813C22semidirect
70. #2812C22semidirect
71. #2807C22semidirect
72. #2807C22semidirect
73. #2796C22semidirect
74. #2784C22semidirect
75. #2784C22semidirect
76. #2780C22semidirect
77. #2780C22semidirect
78. #2778C22semidirect
79. #2778C22semidirect
80. #2778C22semidirect
81. #2778C22semidirect
82. #2778C22semidirect
83. #2760C22semidirect
84. #2757C22semidirect
85. #2757C22semidirect
86. #2757C22semidirect
87. #2756C22semidirect
88. #2749C22semidirect
89. #2748C22semidirect
90. #2748C22semidirect
91. #2746C22semidirect
92. #2742C22semidirect
93. #2737C22semidirect
94. #2735C22semidirect
95. #2709C22semidirect
96. #2709C22semidirect
97. #2709C22semidirect
98. #2705C22semidirect
99. #2705C22semidirect
100. #2703C22semidirect
101. #2703C22semidirect
102. #2703C22semidirect
103. #2697C22semidirect
106. #2693C22semidirect
107. #2693C22semidirect
108. #2693C22semidirect
109. #2693C22semidirect
110. #2693C22semidirect
111. #2693C22semidirect
112. #2693C22semidirect
113. #2693C22semidirect
114. #2693C22semidirect
115. #2691C22semidirect
116. #2688C22semidirect
117. #2688C22semidirect
118. #2678C22semidirect
119. #2678C22semidirect
120. #2673C22semidirect
121. #2673C22semidirect
123. #2657C22semidirect
124. #2656C22semidirect
125. #2645C22semidirect
126. #2643C22semidirect
127. #2624C22semidirect
128. #2623C22semidirect
129. #2620C22semidirect
130. #2618C22semidirect
131. #2547C22semidirect
132. #2545C22semidirect
133. #2544C22semidirect
134. #2543C22semidirect
136. #2541C22semidirect
138. #2540C22semidirect
140. #2539C22semidirect
141. #2538C22semidirect
142. #2537C22semidirect
143. #2535C22semidirect
144. #2534C22semidirect
145. #2534C22semidirect
146. #2514C22semidirect
147. #2511C22semidirect
148. #2511C22semidirect
149. #2510C22semidirect
150. #2504C22semidirect
151. #2501C22semidirect
152. #2498C22semidirect
153. #2497C22semidirect
154. #2496C22semidirect
155. #2495C22semidirect
156. #2493C22semidirect
157. #2493C22semidirect
158. #2493C22semidirect
159. #2486C22semidirect
160. #2486C22semidirect
161. #2486C22semidirect
162. #2482C22semidirect
163. #2481C22semidirect
164. #2481C22semidirect
165. #2448C22semidirect
166. #2445C22semidirect
167. #2445C22semidirect
168. #2444C22semidirect
169. #2443C22semidirect
170. #2443C22semidirect
171. #2436C22semidirect
172. #2434C22semidirect
174. #2433C22semidirect
175. #2432C22semidirect
176. #2431C22semidirect
177. #2431C22semidirect
178. #2430C22semidirect
179. #2430C22semidirect
180. #2430C22semidirect
181. #2429C22semidirect
182. #2428C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2426C22semidirect
187. #2425C22semidirect
188. #2425C22semidirect
189. #2425C22semidirect
190. #2425C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
193. #2422C22semidirect
194. #2422C22semidirect
195. #2421C22semidirect
196. #2418C22semidirect
197. #2418C22semidirect
198. #2418C22semidirect
199. #2417C22semidirect
200. #2417C22semidirect
201. #2417C22semidirect
202. #2417C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2413C22semidirect
208. #2412C22semidirect
209. #2412C22semidirect
210. #2412C22semidirect
211. #2412C22semidirect
212. #2411C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2409C22semidirect
217. #2409C22semidirect
218. #2407C22semidirect
219. #2407C22semidirect
220. #2407C22semidirect
221. #2406C22semidirect
222. #2405C22semidirect
223. #2405C22semidirect
224. #2404C22semidirect
225. #2404C22semidirect
226. #2403C22semidirect
227. #2401C22semidirect
229. #2395C22semidirect
230. C2×#400C22semidirect
231. #2392C22semidirect
232. C2×#397C22semidirect
233. C2×#396C22semidirect
235. #2380C22semidirect
236. #2377C22semidirect
237. #2376C22semidirect
238. #2376C22semidirect
239. #2349C22semidirect
240. D4×C4⋊C4C22semidirect
241. D4×C4⋊C4C22semidirect
245. #2339C22semidirect
248. D4×C22⋊C4C22semidirect
249. C4×#123C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#120C22semidirect
253. C4×#120C22semidirect
254. C2×#386C22semidirect
255. C2×#386C22semidirect
256. C2×#385C22semidirect
257. C2×#380C22semidirect
258. #2275C22semidirect
1488. D4#560semidirect

Maximal subgroups

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

subgroupindex
#530962
#530882
#529932
#529602
#525862
#525292
#523972
#523752
#522922
C2×#26932
#456692
#456322
#456232
#455932
#455692
#455372
#455292
#454782
#454652
#454552
#362142
#362132
#362122
#361532
D4×#1232
#359762
#359212
#358882
#358212