Finite Group Databasebeta

← #7697478

Subgroups — #7697478

Order 512.

6047 conjugacy classes of subgroups.

The subgroup lattice has 1637 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59865C211yesmaximal, characteristic, complemented
2#59632C211yesmaximal, characteristic, complemented
3#59628C211yesmaximal, characteristic, complemented
4#59623C212yesmaximal, complemented
5#59189C212yesmaximal, complemented
6#59143C212yesmaximal, complemented
7#52273C211yesmaximal, characteristic, complemented
8C2×#2709C212yesmaximal, complemented
9#45072C212yesmaximal, complemented
10#45048C212yesmaximal, complemented
11#45043C212yesmaximal, complemented
12#44064C214yesmaximal, complemented
13#43178C214yesmaximal, complemented
14#43178C214yesmaximal, complemented
15#39770C212yesmaximal, complemented
16#39764C214yesmaximal, complemented
17#39275C212yesmaximal, complemented
18#39270C212yesmaximal, complemented
19#39264C214yesmaximal, complemented
20#39264C214yesmaximal, complemented
21#36236C211yesmaximal, characteristic, complemented
22D4×#127C211yesmaximal, characteristic
23D4×#123C211yesmaximal, characteristic, complemented
24#35903C212yesmaximal, complemented
25#35903C212yesmaximal, complemented
26#35713C212yesmaximal, complemented
27#34333C212yesmaximal, complemented
28#34290C212yesmaximal, complemented
29#34290C212yesmaximal, complemented
30C2×#559C2212yescomplemented
31C2×#554C2212yes—
32C2×D42C2212yes—
33C2×D42C2212yes—
34C2×D42C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C22×#127C2212yes—
37C22×#123C2212yescomplemented
38C2×#518C2212yes—
39C22×C4×D4C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2867C2211yescharacteristic
42#2856C2212yes—
43#2854C2211yescharacteristic, complemented
44#2854C2211yescharacteristic, complemented
45#2849C2212yescomplemented
46#2849C2212yescomplemented
47#2808C2212yescomplemented
48#2804C2211yescharacteristic, complemented
49#2803C2214yescomplemented
50#2803C2214yescomplemented
51#2803C2214yescomplemented
52#2797C2214yescomplemented
53#2797C2214yescomplemented
54#2797C2214yescomplemented
55#2796C2214yescomplemented
56#2796C2212yescomplemented
57#2796C2212yescomplemented
58#2796C2214yescomplemented
59#2794C2212yescomplemented
60#2794C2212yescomplemented
61#2752C2214yescomplemented
62#2752C2212yescomplemented
63#2751C2212yescomplemented
64#2751C2212yescomplemented
65#2751C2214yescomplemented
66#2751C2214yescomplemented
67#2724C2211yescharacteristic, complemented
68#2712C2214yescomplemented
69#2712C2212yescomplemented
70#2710C2214yescomplemented
71#2710C2214yescomplemented
72#2710C2214yescomplemented
73#2709C2211yescharacteristic
74#2709C2212yes—
75#2709C2211yescharacteristic
76#2709C2214yescomplemented
77#2709C2214yescomplemented
78#2709C2214yescomplemented
79#2709C2212yescomplemented
80#2709C2214yescomplemented
81#2709C2214yescomplemented
82#2709C2214yescomplemented
83#2709C2214yescomplemented
84#2709C2214yescomplemented
85#2709C2214yescomplemented
86#2709C2212yescomplemented
87#2641C2212yescomplemented
88#2641C2212yescomplemented
89#2639C2214yescomplemented
90#2639C2214yescomplemented
91#2624C2212yescomplemented
92#2622C2214yescomplemented
93#2602C2214yescomplemented
94#2602C2214yescomplemented
95#2602C2214yescomplemented
96#2600C2214yescomplemented
97#2600C2212yescomplemented
98#2597C2214yescomplemented
99#2597C2214yescomplemented
100#2595C2214yescomplemented
101#2595C2214yescomplemented
102#2595C2214yescomplemented
103#2593C2212yescomplemented
104#2591C2214yescomplemented
105#2591C2214yescomplemented
106#2562C2212yescomplemented
107#2562C2212yescomplemented
108#2557C2214yescomplemented
109#2557C2214yescomplemented
110#2557C2214yescomplemented
111#2548C2214yescomplemented
112#2548C2212yescomplemented
113#2548C2212yescomplemented
114#2544C2214yescomplemented
115#2544C2214yescomplemented
116#2544C2214yescomplemented
117#2544C2214yescomplemented
118#2541C2212yes—
119#2541C2212yes—
120#2541C2211yescharacteristic
121#2541C2211yescharacteristic
122#2516C2214yescomplemented
123#2516C2214yescomplemented
124#2516C2214yescomplemented
125#2504C2211yescharacteristic, complemented
126#2501C2211yescharacteristic, complemented
127#2500C2212yescomplemented
128#2491C2212yescomplemented
129#2491C2212yescomplemented
130#2491C2212yescomplemented
131#2491C2212yescomplemented
132#2490C2212yescomplemented
133#2490C2212yescomplemented
134#2490C2212yescomplemented
135#2490C2212yescomplemented
136#2487C2211yescharacteristic, complemented
137#2486C2211yescharacteristic, complemented
138#2485C2212yescomplemented
139#2472C2214yescomplemented
140#2472C2214yescomplemented
141#2472C2214yescomplemented
142#2472C2214yescomplemented
143#2472C2214yescomplemented
144#2472C2214yescomplemented
145#2472C2214yescomplemented
146#2472C2214yescomplemented
147#2459C2214yescomplemented
148#2459C2214yescomplemented
149#2459C2214yescomplemented
150#2458C2214yescomplemented
151#2458C2214yescomplemented
152#2455C2214yescomplemented
153#2455C2212yescomplemented
154#2445C2214yescomplemented
155#2445C2214yescomplemented
156#2445C2214yescomplemented
157#2445C2214yescomplemented
158#2445C2212yescomplemented
159#2445C2212yescomplemented
160#2445C2212yescomplemented
161#2445C2212yescomplemented
162#2444C2214yescomplemented
163#2444C2214yescomplemented
164#2443C2214yescomplemented
165#2443C2214yescomplemented
166#2435C2214yescomplemented
167#2435C2214yescomplemented
168#2433C2212yes—
169#2433C2212yes—
170#2433C2214yes—
171#2433C2214yes—
172#2422C2212yescomplemented
173#2422C2212yescomplemented
174#2420C2212yescomplemented
175#2420C2212yescomplemented
176#2418C2214yescomplemented
177#2418C2214yescomplemented
178#2418C2214yescomplemented
179#2418C2214yescomplemented
180#2412C2214yescomplemented
181#2412C2212yescomplemented
182#2412C2212yescomplemented
183#2405C2214yescomplemented
184#2405C2212yescomplemented
185#2405C2212yescomplemented
186#2398C2212yescomplemented
187#2398C2212yescomplemented
188#2395C2212yescomplemented
189C2×#394C2214yescomplemented
190C2×#394C2214yescomplemented
191C2×#394C2214yescomplemented
192#2374C2212yescomplemented
193#2370C2212yescomplemented
194#2370C2212yescomplemented
195#2368C2214yescomplemented
196#2368C2214yescomplemented
197#2366C2212yescomplemented
198#2366C2212yescomplemented
199#2366C2212yescomplemented
200#2365C2212yescomplemented
201#2364C2214yescomplemented
202#2364C2214yescomplemented
203#2363C2212yescomplemented
204#2363C2212yescomplemented
205#2361C2212yescomplemented
206#2361C2212yescomplemented
207#2360C2214yescomplemented
208#2358C2214yescomplemented
209#2358C2214yescomplemented
210#2358C2214yescomplemented
211#2358C2214yescomplemented
212#2355C2212yescomplemented
213#2352C2212yescomplemented
214#2352C2212yescomplemented
215#2349C2212yes—
216#2349C2212yes—
217D4×C4⋊C4C2212yes—
218#2345C2214yescomplemented
219D4×C22⋊C4C2212yes—
220D4×C22⋊C4C2211yescharacteristic
221D4×C22⋊C4C2211yescharacteristic
222D4×C22⋊C4C2212yes—
223D4×C22⋊C4C2212yes—
224D4×C22⋊C4C2212yes—
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2214yescomplemented
227D4×C22⋊C4C2214yescomplemented
228#2331C2212yescomplemented
229#2330C2212yescomplemented
230#2329C2214yescomplemented
231#2329C2214yescomplemented
232#2328C2212yescomplemented
233#2328C2212yescomplemented
234#2325C2214yescomplemented
235#2325C2214yescomplemented
236#2324C2212yescomplemented
237#2324C2212yescomplemented
238#2321C2214yescomplemented
239#2321C2214yescomplemented
240C4×#127C2211yescharacteristic
241C4×#125C2212yescomplemented
242C4×C22⋊Q8C2214yescomplemented
243C4×#123C2211yescharacteristic, complemented
244C4×#123C2211yescharacteristic, complemented
245C4×#121C2212yescomplemented
246C4×#121C2212yescomplemented
247C4×#120C2214yescomplemented
248C4×#120C2214yescomplemented
249#2295C2212yescomplemented
250#2290C2212yescomplemented
251#2290C2212yescomplemented
252C2×#387C2214yescomplemented
253C2×#386C2214yescomplemented
254C2×#386C2214yescomplemented
255C2×#386C2212yescomplemented
256#2275C2212yes—
257#2275C2212yes—
258C42×D4C2211yescharacteristic
259C23×D4C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2314yes—
263C23×D4C2314yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C24×C4C2312yes—
267C24×C4C2312yes—
268#559—48no—
269#554—216no—
270D42—216no—
271D42—216no—
272D42—44no—
273D42—44no—
274C2×C4⋊Q8C2312yes—
275C2×#127—48no—
276C2×#127C2311yescharacteristic
277C2×#127C2312yes—
278C2×#127C2312yes—
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#127C2311yescharacteristic
282C2×#127C2311yescharacteristic
283C2×#127C2314yes—
284C2×#127C2314yes—
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#127C2314yes—
288C2×#125C2312yes—
289C2×#125C2312yes—
290C2×#124C2314yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#123—48no—
297C2×#123C2312yes—
298C2×#123C2311yescharacteristic
299C2×#123C2311yescharacteristic
300C2×#123C2312yes—
301C2×#123C2312yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2312yes—
306C2×#123C2314yes—
307C2×#123C2312yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2312yes—
329C2×#120C2312yes—
330C2×#120C2314yes—
331#518—48no—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2314yes—
334C2×C4×D4—44no—
335C2×C4×D4—44no—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C22×C4⋊C4C2314yes—
363C22×C4⋊C4C2314yes—
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C22⋊C4C2314yes—
367C22×C22⋊C4C2314yes—
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2312yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2314yes—
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#400C2312yes—
388#399C2314yes—
389#399C2312yes—
390#399C2312yes—
391#399C2314yes—
392#398C2312yes—
393#398C2312yes—
394#397C2312yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2312yes—
405#397C2312yes—
406#397C2314yes—
407#397C2312yes—
408#397C2312yes—
409#397C2312yes—
410#397C2312yes—
411#397C2312yes—
412#397C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2312yes—
441#394C2312yes—
442#394C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2312yes—
463#393C2312yes—
464#393C2312yes—
465#393C2312yes—
466#392C2312yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2312yes—
472#392C2314yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#390C2311yescharacteristic
480#390C2312yes—
481#390C2311yescharacteristic
482#390C2312yes—
483#390C2314yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2314yes—
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2312yes—
528#388C2312yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#387C2314yes—
557#387C2314yes—
558#387C2312yes—
559#387C2312yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2312yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2314yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2312yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2312yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2311yescharacteristic
626#386C2312yes—
627#386C2314yes—
628#386C2312yes—
629#386C2312yes—
630#386C2312yes—
631#386C2311yescharacteristic
632#386C2314yes—
633#386C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2311yescharacteristic
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2311yescharacteristic
651#385C2312yes—
652#385C2312yes—
653#384C2311yescharacteristic
654#384C2312yes—
655#382C2312yes—
656#382C2312yes—
657#381C2311yescharacteristic
658#381C2312yes—
659#381C2314yes—
660#381C2311yescharacteristic
661#381C2314yes—
662#380C2311yescharacteristic
663#380C2311yescharacteristic
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2314yes—
670#380C2314yes—
671#380C2314yes—
672#379C2314yes—
673#379C2314yes—
674#379C2312yes—
675#379C2312yes—
676#379C2314yes—
677#379C2314yes—
678#379C2314yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2311yescharacteristic
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716#376C2312yes—
717#376C2312yes—
718C2×#95C2314yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C2×#95C2314yes—
722C43C2311yescharacteristic
723C25C2412yes—
724C25C2412yes—
725C25C2414yes—
726C22×Q8C2414yes—
727C22×Q8C2412yes—
728C22×D4—28no—
729C22×D4—28no—
730C22×D4—28no—
731C22×D4—28no—
732C22×D4—24no—
733C22×D4—24no—
734C22×D4—28no—
735C22×D4—28no—
736C22×D4—216no—
737C22×D4—216no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4—44no—
741C22×D4—48no—
742C22×D4—48no—
743C22×D4—84no—
744C22×D4—84no—
745C22×D4—82no—
746C22×D4—82no—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2414yes—
750C22×D4C2411yescharacteristic
751C22×D4C2411yescharacteristic
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2411yescharacteristic
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2411yescharacteristic
772C22×D4C2411yescharacteristic
773C23×C4—44no—
774C23×C4—44no—
775C23×C4—44no—
776C23×C4—82no—
777C23×C4—84no—
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2411yescharacteristic
796C23×C4C2414yes—
797C4⋊Q8—28no—
798#127—24no—
799#127—28no—
800#127—28no—
801#127—28no—
802#127—44no—
803#127—44no—
804#127—42no—
805#127—42no—
806#127—48no—
807#127—48no—
808#127—82no—
809#127—84no—
810#125—28no—
811#125—28no—
812#124—48no—
813#124—48no—
814#124—84no—
815#124—84no—
816#124—84no—
817#124—84no—
818#123—24no—
819#123—28no—
820#123—24no—
821#123—48no—
822#123—44no—
823#123—44no—
824#123—48no—
825#123—48no—
826#123—84no—
827#123—82no—
828#123—84no—
829#123—84no—
830#123—82no—
831C22⋊Q8—216no—
832C22⋊Q8—216no—
833C22⋊Q8—216no—
834#121—216no—
835#121—216no—
836#121—28no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—42no—
841#121—42no—
842#121—44no—
843#121—44no—
844#121—44no—
845#120—216no—
846#120—216no—
847#120—216no—
848#120—216no—
849#120—44no—
850#120—44no—
851#120—48no—
852C4×Q8—28no—
853C4×Q8—48no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—28no—
858C4×D4—24no—
859C4×D4—28no—
860C4×D4—28no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—42no—
866C4×D4—42no—
867C4×D4—48no—
868C4×D4—48no—
869C4×D4—48no—
870C4×D4—48no—
871C4×D4—48no—
872C4×D4—48no—
873C4×D4—84no—
874C4×D4—84no—
875C4×D4—84no—
876C4×D4—84no—
877C4×D4#41116yes—
878#117—44no—
879#117—44no—
880C2×C4⋊C4—216no—
881C2×C4⋊C4—42no—
882C2×C4⋊C4—42no—
883C2×C4⋊C4—48no—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C22⋊C4—44no—
921C2×C22⋊C4—44no—
922C2×C22⋊C4—48no—
923C2×C22⋊C4—48no—
924C2×C22⋊C4—44no—
925C2×C22⋊C4—48no—
926C2×C22⋊C4—84no—
927C2×C22⋊C4—84no—
928C2×C22⋊C4—84no—
929C2×C22⋊C4—82no—
930C2×C22⋊C4—84no—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C42—42no—
1004C2×C42—42no—
1005C2×C42—44no—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077C24—24no—
1078C24—24no—
1079C24—28no—
1080C24—28no—
1081C24—24no—
1082C24—24no—
1083C24—28no—
1084C24—28no—
1085C24—28no—
1086C24—44no—
1087C24—42no—
1088C24—42no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2514yes—
1097C24C2512yes—
1098C24C2511yescharacteristic
1099C24C2511yescharacteristic
1100C24C2512yes—
1101C2×Q8—24no—
1102C2×Q8—28no—
1103C2×Q8—44no—
1104C2×Q8—42no—
1105C2×Q8—42no—
1106C2×Q8—44no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—24no—
1137C2×D4—22no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—41no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—41no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—44no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—416no—
1176C2×D4—416no—
1177C2×D4—432no—
1178C2×D4—832no—
1179C2×D4—832no—
1180C2×D4—816no—
1181C2×D4—816no—
1182C2×D4C2×#4118yes—
1183C2×D4H(5,𝔽2)14yes—
1184C2×D4H(5,𝔽2)14yes—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—44no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—44no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—816no—
1237C22×C4—816no—
1238C22×C4C2×#41116yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2514yes—
1253C22×C4C2514yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4C2×#4118yes—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—22no—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—22no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—41no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—41no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4C2×#41116yes—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—22no—
1376C42—42no—
1377C42—42no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42—41no—
1387C42—42no—
1388C42C2×#4118yes—
1389C23—22no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—21no—
1395C23—21no—
1396C23—22no—
1397C23—21no—
1398C23—22no—
1399C23—21no—
1400C23—22no—
1401C23—22no—
1402C23—24no—
1403C23—24no—
1404C23—24no—
1405C23—24no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—24no—
1410C23—22no—
1411C23—24no—
1412C23—22no—
1413C23—22no—
1414C23—24no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—24no—
1420C23—24no—
1421C23—24no—
1422C23—24no—
1423C23—22no—
1424C23—48no—
1425C23—416no—
1426C23—416no—
1427C23—48no—
1428C23—48no—
1429C23—48no—
1430C23—416no—
1431C23—84no—
1432C23—84no—
1433C23—88no—
1434C23—88no—
1435C23—88no—
1436C23—88no—
1437C23—88no—
1438C23—88no—
1439C23—88no—
1440C23—88no—
1441C23C22×#4118yes—
1442C23C2×H(5,𝔽2)12yes—
1443C23C2×H(5,𝔽2)12yes—
1444C23C2×H(5,𝔽2)14yes—
1445C23C2611yescharacteristic
1446Q8—88no—
1447Q8—84no—
1448D4—44no—
1449D4—416no—
1450D4—416no—
1451D4—48no—
1452D4—48no—
1453D4—44no—
1454D4—48no—
1455D4—48no—
1456D4—416no—
1457D4—44no—
1458D4—44no—
1459D4—48no—
1460D4—88no—
1461D4—88no—
1462D4—88no—
1463D4—88no—
1464D4—88no—
1465D4—88no—
1466D4—84no—
1467D4—84no—
1468D4—84no—
1469D4—84no—
1470D4—88no—
1471D4—162no—
1472D4—162no—
1473D4#559116yescomplemented
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—24no—
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—24no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—416no—
1531C2×C4—48no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—48no—
1537C2×C4—88no—
1538C2×C4—88no—
1539C2×C4—82no—
1540C2×C4—88no—
1541C2×C4—88no—
1542C2×C4—84no—
1543C2×C4—82no—
1544C2×C4—88no—
1545C2×C4—84no—
1546C2×C4—88no—
1547C2×C4—164no—
1548C2×C4—164no—
1549C2×C4C22×#4114yes—
1550C2×C4C22×#4114yes—
1551C2×C4C22×#4118yes—
1552C2×C4C22×#4114yes—
1553C2×C4C2×H(5,𝔽2)12yes—
1554C2×C4C2×H(5,𝔽2)12yes—
1555C22—28no—
1556C22—24no—
1557C22—28no—
1558C22—24no—
1559C22—24no—
1560C22—24no—
1561C22—22no—
1562C22—22no—
1563C22—41no—
1564C22—41no—
1565C22—42no—
1566C22—42no—
1567C22—41no—
1568C22—41no—
1569C22—42no—
1570C22—42no—
1571C22—44no—
1572C22—44no—
1573C22—44no—
1574C22—44no—
1575C22—42no—
1576C22—44no—
1577C22—42no—
1578C22—42no—
1579C22—44no—
1580C22—44no—
1581C22—44no—
1582C22—44no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—44no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—44no—
1593C22—816no—
1594C22—816no—
1595C22—1616no—
1596C22C2×#55918yes—
1597C22C23×#4112yes—
1598C22C22×H(5,𝔽2)11yescharacteristic
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22H(7,𝔽2)12yes—
1601C22H(7,𝔽2)11yescharacteristic
1602C4—24no—
1603C4—28no—
1604C4—24no—
1605C4—22no—
1606C4—42no—
1607C4—44no—
1608C4—42no—
1609C4—42no—
1610C4—44no—
1611C4—42no—
1612C4—41no—
1613C4—44no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—44no—
1619C4—42no—
1620C4—41no—
1621C4—41no—
1622C4—42no—
1623C4C2×#55914yes—
1624C2—28no—
1625C2—42no—
1626C2—42no—
1627C2—82no—
1628C2—82no—
1629C2—84no—
1630C2—82no—
1631C2C22×#55911yescharacteristic
1632C2#6285812yes—
1633C2#6289211yescharacteristic
1634C2#6298312yes—
1635C2#6304111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalD4×#127C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59865C2semidirect
2. #59632C2semidirect
3. #59628C2semidirect
4. #59623C2semidirect
5. #59189C2semidirect
6. #59143C2semidirect
7. #52273C2semidirect
8. C2×#2709C2semidirect
9. #45072C2semidirect
10. #45048C2semidirect
11. #45043C2semidirect
12. #44064C2semidirect
13. #43178C2semidirect
14. #43178C2semidirect
15. #39770C2semidirect
16. #39764C2semidirect
17. #39275C2semidirect
18. #39270C2semidirect
19. #39264C2semidirect
20. #39264C2semidirect
21. #36236C2semidirect
23. D4×#123C2semidirect
24. #35903C2semidirect
25. #35903C2semidirect
26. #35713C2semidirect
27. #34333C2semidirect
28. #34290C2semidirect
29. #34290C2semidirect
30. C2×#559C22semidirect
37. C22×#123C22semidirect
43. #2854C22semidirect
44. #2854C22semidirect
45. #2849C22semidirect
46. #2849C22semidirect
47. #2808C22semidirect
48. #2804C22semidirect
49. #2803C22semidirect
50. #2803C22semidirect
51. #2803C22semidirect
52. #2797C22semidirect
53. #2797C22semidirect
54. #2797C22semidirect
55. #2796C22semidirect
56. #2796C22semidirect
57. #2796C22semidirect
58. #2796C22semidirect
59. #2794C22semidirect
60. #2794C22semidirect
61. #2752C22semidirect
62. #2752C22semidirect
63. #2751C22semidirect
64. #2751C22semidirect
65. #2751C22semidirect
66. #2751C22semidirect
67. #2724C22semidirect
68. #2712C22semidirect
69. #2712C22semidirect
70. #2710C22semidirect
71. #2710C22semidirect
72. #2710C22semidirect
76. #2709C22semidirect
77. #2709C22semidirect
78. #2709C22semidirect
79. #2709C22semidirect
80. #2709C22semidirect
81. #2709C22semidirect
82. #2709C22semidirect
83. #2709C22semidirect
84. #2709C22semidirect
85. #2709C22semidirect
86. #2709C22semidirect
87. #2641C22semidirect
88. #2641C22semidirect
89. #2639C22semidirect
90. #2639C22semidirect
91. #2624C22semidirect
92. #2622C22semidirect
93. #2602C22semidirect
94. #2602C22semidirect
95. #2602C22semidirect
96. #2600C22semidirect
97. #2600C22semidirect
98. #2597C22semidirect
99. #2597C22semidirect
100. #2595C22semidirect
101. #2595C22semidirect
102. #2595C22semidirect
103. #2593C22semidirect
104. #2591C22semidirect
105. #2591C22semidirect
106. #2562C22semidirect
107. #2562C22semidirect
108. #2557C22semidirect
109. #2557C22semidirect
110. #2557C22semidirect
111. #2548C22semidirect
112. #2548C22semidirect
113. #2548C22semidirect
114. #2544C22semidirect
115. #2544C22semidirect
116. #2544C22semidirect
117. #2544C22semidirect
122. #2516C22semidirect
123. #2516C22semidirect
124. #2516C22semidirect
125. #2504C22semidirect
126. #2501C22semidirect
127. #2500C22semidirect
128. #2491C22semidirect
129. #2491C22semidirect
130. #2491C22semidirect
131. #2491C22semidirect
132. #2490C22semidirect
133. #2490C22semidirect
134. #2490C22semidirect
135. #2490C22semidirect
136. #2487C22semidirect
137. #2486C22semidirect
138. #2485C22semidirect
139. #2472C22semidirect
140. #2472C22semidirect
141. #2472C22semidirect
142. #2472C22semidirect
143. #2472C22semidirect
144. #2472C22semidirect
145. #2472C22semidirect
146. #2472C22semidirect
147. #2459C22semidirect
148. #2459C22semidirect
149. #2459C22semidirect
150. #2458C22semidirect
151. #2458C22semidirect
152. #2455C22semidirect
153. #2455C22semidirect
154. #2445C22semidirect
155. #2445C22semidirect
156. #2445C22semidirect
157. #2445C22semidirect
158. #2445C22semidirect
159. #2445C22semidirect
160. #2445C22semidirect
161. #2445C22semidirect
162. #2444C22semidirect
163. #2444C22semidirect
164. #2443C22semidirect
165. #2443C22semidirect
166. #2435C22semidirect
167. #2435C22semidirect
172. #2422C22semidirect
173. #2422C22semidirect
174. #2420C22semidirect
175. #2420C22semidirect
176. #2418C22semidirect
177. #2418C22semidirect
178. #2418C22semidirect
179. #2418C22semidirect
180. #2412C22semidirect
181. #2412C22semidirect
182. #2412C22semidirect
183. #2405C22semidirect
184. #2405C22semidirect
185. #2405C22semidirect
186. #2398C22semidirect
187. #2398C22semidirect
188. #2395C22semidirect
189. C2×#394C22semidirect
190. C2×#394C22semidirect
191. C2×#394C22semidirect
192. #2374C22semidirect
193. #2370C22semidirect
194. #2370C22semidirect
195. #2368C22semidirect
196. #2368C22semidirect
197. #2366C22semidirect
198. #2366C22semidirect
199. #2366C22semidirect
200. #2365C22semidirect
201. #2364C22semidirect
202. #2364C22semidirect
203. #2363C22semidirect
204. #2363C22semidirect
205. #2361C22semidirect
206. #2361C22semidirect
207. #2360C22semidirect
208. #2358C22semidirect
209. #2358C22semidirect
210. #2358C22semidirect
211. #2358C22semidirect
212. #2355C22semidirect
213. #2352C22semidirect
214. #2352C22semidirect
218. #2345C22semidirect
226. D4×C22⋊C4C22semidirect
227. D4×C22⋊C4C22semidirect
228. #2331C22semidirect
229. #2330C22semidirect
230. #2329C22semidirect
231. #2329C22semidirect
232. #2328C22semidirect
233. #2328C22semidirect
234. #2325C22semidirect
235. #2325C22semidirect
236. #2324C22semidirect
237. #2324C22semidirect
238. #2321C22semidirect
239. #2321C22semidirect
241. C4×#125C22semidirect
242. C4×C22⋊Q8C22semidirect
243. C4×#123C22semidirect
244. C4×#123C22semidirect
245. C4×#121C22semidirect
246. C4×#121C22semidirect
247. C4×#120C22semidirect
248. C4×#120C22semidirect
249. #2295C22semidirect
250. #2290C22semidirect
251. #2290C22semidirect
252. C2×#387C22semidirect
253. C2×#386C22semidirect
254. C2×#386C22semidirect
255. C2×#386C22semidirect
1473. D4#559semidirect

Maximal subgroups

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

subgroupindex
#598652
#596322
#596282
#596232
#591892
#591432
#522732
C2×#27092
#450722
#450482
#450432
#440642
#431782
#397702
#397642
#392752
#392702
#392642
#362362
D4×#1272
D4×#1232
#359032
#357132
#343332
#342902