Finite Group Databasebeta

← #8346337

Subgroups — #8346337

Order 512.

6108 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59808C212yesmaximal, complemented
2#59548C212yesmaximal, complemented
3#59126C212yesmaximal, complemented
4#58256C212yesmaximal, complemented
5#57979C214yesmaximal, complemented
6#56344C212yesmaximal, complemented
7#54935C214yesmaximal, complemented
8#53431C214yesmaximal, complemented
9#53106C212yesmaximal, complemented
10#52310C212yesmaximal, complemented
11#52168C211yesmaximal, characteristic, complemented
12#50760C214yesmaximal, complemented
13#47829C214yesmaximal, complemented
14#45655C212yesmaximal, complemented
15#45367C212yesmaximal, complemented
16#43098C212yesmaximal, complemented
17#42975C211yesmaximal, characteristic, complemented
18#42593C212yesmaximal, complemented
19#42475C211yesmaximal, characteristic, complemented
20#42475C212yesmaximal, complemented
21#40506C214yesmaximal, complemented
22#40149C212yesmaximal, complemented
23#39383C212yesmaximal, complemented
24#38910C212yesmaximal, complemented
25#38026C212yesmaximal, complemented
26#37523C211yesmaximal, characteristic, complemented
27#35730C211yesmaximal, characteristic, complemented
28#35691C211yesmaximal, characteristic, complemented
29#35554C211yesmaximal, characteristic, complemented
30C2×#547C2211yescharacteristic, complemented
31C2×#546C2214yescomplemented
32C2×D42C2214yescomplemented
33C2×D42C2211yescharacteristic, complemented
34C2×D42C2212yescomplemented
35C2×D42C2212yescomplemented
36C2×D42C2212yescomplemented
37C2×#538C2214yescomplemented
38C22×#127C2211yescharacteristic
39C2×#529C2212yescomplemented
40C2×#518C2211yescharacteristic, complemented
41#2856C2212yescomplemented
42#2854C2212yescomplemented
43#2828C2214yescomplemented
44#2828C2214yescomplemented
45#2828C2212yescomplemented
46#2826C2212yescomplemented
47#2824C2212yescomplemented
48#2824C2214yescomplemented
49#2819C2214yescomplemented
50#2816C2214yescomplemented
51#2813C2214yescomplemented
52#2812C2212yescomplemented
53#2812C2214yescomplemented
54#2803C2214yescomplemented
55#2756C2214yescomplemented
56#2753C2214yescomplemented
57#2750C2214yescomplemented
58#2749C2214yescomplemented
59#2749C2214yescomplemented
60#2749C2214yescomplemented
61#2749C2214yescomplemented
62#2740C2214yescomplemented
63#2736C2212yescomplemented
64#2733C2214yescomplemented
65#2725C2212yescomplemented
66#2722C2211yescharacteristic, complemented
67#2714C2214yescomplemented
68#2714C2214yescomplemented
69#2714C2214yescomplemented
70#2712C2211yescharacteristic, complemented
71#2711C2214yescomplemented
72#2706C2214yescomplemented
73#2705C2212yescomplemented
74#2704C2212yescomplemented
75#2703C2214yescomplemented
76#2701C2214yescomplemented
77#2699C2214yescomplemented
78#2699C2212yescomplemented
79#2697C2214yescomplemented
80#2693C2211yescharacteristic, complemented
81#2693C2214yescomplemented
82#2691C2212yescomplemented
83#2686C2214yescomplemented
84#2685C2214yescomplemented
85#2685C2214yescomplemented
86#2685C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2682C2214yescomplemented
90#2681C2212yescomplemented
91#2681C2214yescomplemented
92#2681C2214yescomplemented
93#2679C2212yescomplemented
94#2679C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2676C2214yescomplemented
104#2675C2211yescharacteristic
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2672C2212yescomplemented
108#2671C2214yescomplemented
109#2670C2212yescomplemented
110#2670C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2663C2214yescomplemented
115#2662C2214yescomplemented
116#2651C2214yescomplemented
117#2649C2214yescomplemented
118#2638C2212yescomplemented
119#2636C2214yescomplemented
120#2635C2214yescomplemented
121#2628C2211yescharacteristic, complemented
122#2624C2212yescomplemented
123#2624C2212yescomplemented
124#2619C2211yescharacteristic
125#2619C2212yescomplemented
126#2617C2212yescomplemented
127#2617C2214yescomplemented
128#2613C2214yescomplemented
129#2613C2214yescomplemented
130#2613C2214yescomplemented
131#2595C2214yescomplemented
132#2593C2212yescomplemented
133#2580C2212yescomplemented
134#2563C2211yescharacteristic, complemented
135#2561C2212yescomplemented
136#2554C2214yescomplemented
137#2554C2214yescomplemented
138#2548C2212yescomplemented
139#2548C2212yescomplemented
140#2543C2212yescomplemented
141#2541C2212yescomplemented
142#2541C2211yescharacteristic, complemented
143#2541C2212yescomplemented
144#2540C2214yescomplemented
145#2539C2214yescomplemented
146#2538C2212yescomplemented
147#2535C2211yescharacteristic, complemented
148#2535C2211yescharacteristic, complemented
149#2534C2214yescomplemented
150#2534C2214yescomplemented
151#2525C2214yescomplemented
152#2513C2212yescomplemented
153#2512C2212yescomplemented
154#2512C2212yescomplemented
155#2509C2212yescomplemented
156#2508C2212yescomplemented
157#2500C2212yescomplemented
158#2497C2212yescomplemented
159#2491C2212yescomplemented
160#2490C2214yescomplemented
161#2488C2214yescomplemented
162#2486C2212yescomplemented
163#2472C2214yescomplemented
164#2472C2214yescomplemented
165#2472C2214yescomplemented
166#2468C2214yescomplemented
167#2466C2214yescomplemented
168#2464C2214yescomplemented
169#2463C2212yescomplemented
170#2461C2214yescomplemented
171#2457C2214yescomplemented
172#2456C2214yescomplemented
173#2455C2212yescomplemented
174#2452C2212yescomplemented
175#2445C2212yescomplemented
176#2445C2212yescomplemented
177#2445C2214yescomplemented
178#2445C2214yescomplemented
179#2445C2214yescomplemented
180#2445C2212yescomplemented
181#2445C2212yescomplemented
182#2445C2212yescomplemented
183#2445C2212yescomplemented
184#2435C2214yescomplemented
185#2433C2212yes—
186#2433C2214yescomplemented
187#2433C2212yescomplemented
188#2433C2212yescomplemented
189#2428C2212yes—
190#2428C2214yescomplemented
191#2428C2212yescomplemented
192#2428C2212yescomplemented
193#2424C2214yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2420C2212yescomplemented
197#2420C2212yescomplemented
198#2420C2212yescomplemented
199#2418C2214yescomplemented
200#2416C2212yescomplemented
201#2414C2212yescomplemented
202#2414C2212yescomplemented
203#2414C2212yescomplemented
204#2414C2212yescomplemented
205#2414C2212yescomplemented
206#2410C2214yescomplemented
207#2410C2214yescomplemented
208#2408C2212yescomplemented
209#2408C2212yescomplemented
210#2408C2214yescomplemented
211#2408C2212yescomplemented
212#2408C2212yescomplemented
213#2408C2214yescomplemented
214#2408C2212yescomplemented
215#2408C2212yescomplemented
216#2405C2212yescomplemented
217#2405C2214yescomplemented
218#2405C2212yescomplemented
219#2405C2212yescomplemented
220#2405C2214yescomplemented
221#2405C2212yescomplemented
222#2404C2214yescomplemented
223#2404C2212yescomplemented
224#2403C2212yescomplemented
225#2403C2214yescomplemented
226#2403C2214yescomplemented
227#2403C2214yescomplemented
228#2396C2212yescomplemented
229#2392C2212yescomplemented
230#2392C2211yescharacteristic, complemented
231#2392C2211yescharacteristic, complemented
232#2388C2212yescomplemented
233C2×#392C2212yescomplemented
234#2375C2214yescomplemented
235#2366C2212yescomplemented
236#2361C2212yescomplemented
237#2361C2212yescomplemented
238#2357C2211yescharacteristic, complemented
239#2357C2214yescomplemented
240#2354C2212yescomplemented
241#2352C2212yescomplemented
242#2349C2211yescharacteristic, complemented
243#2347C2212yescomplemented
244D4×C22⋊C4C2212yescomplemented
245#2325C2214yescomplemented
246#2324C2212yescomplemented
247#2309C2212yescomplemented
248#2309C2211yescharacteristic, complemented
249#2309C2211yescharacteristic, complemented
250#2309C2211yescharacteristic, complemented
251C4×C22⋊Q8C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256#2296C2211yescharacteristic, complemented
257#2296C2211yescharacteristic, complemented
258C2×#390C2212yescomplemented
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2311yescharacteristic
262C23×D4C2312yes—
263C23×D4C2314yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C23×D4C2314yes—
267C23×D4C2314yes—
268C23×D4C2312yes—
269C23×D4C2312yes—
270#547—44no—
271#546—416no—
272D42—48no—
273D42—48no—
274D42—44no—
275D42—416no—
276D42—48no—
277#538—416no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×#127—44no—
280C2×#127C2312yes—
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2314yes—
285C2×#127C2314yes—
286C2×#127C2312yes—
287#529—48no—
288C2×#126C2314yes—
289C2×#126C2312yes—
290C2×#126C2312yes—
291C2×#126C2314yes—
292C2×#125C2312yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2312yes—
296C2×#124C2314yes—
297C2×#123C2314yes—
298C2×#123C2312yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2314yes—
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356#518—44no—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2314yes—
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2312yes—
403#398C2312yes—
404#398C2314yes—
405#398C2311yescharacteristic
406#398C2311yescharacteristic
407#398C2312yes—
408#398C2314yes—
409#398C2312yes—
410#397C2311yescharacteristic
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2311yescharacteristic
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2312yes—
429#396C2312yes—
430#396C2312yes—
431#396C2312yes—
432#396C2314yes—
433#396C2312yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#395C2312yes—
439#395C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2311yescharacteristic
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2311yescharacteristic
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2312yes—
492#393C2314yes—
493#393C2312yes—
494#393C2312yes—
495#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2314yes—
504#392C2312yes—
505#392C2314yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2311yescharacteristic
524#392C2314yes—
525#392C2312yes—
526#392C2312yes—
527#392C2314yes—
528#392C2311yescharacteristic
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#391C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#385C2311yescharacteristic
653#385C2314yes—
654#385C2311yescharacteristic
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2311yescharacteristic
664#385C2311yescharacteristic
665#385C2312yes—
666#385C2312yes—
667#384C2312yes—
668#383C2314yes—
669#382C2312yes—
670#382C2314yes—
671#382C2311yescharacteristic
672#382C2311yescharacteristic
673#381C2314yes—
674#381C2314yes—
675#381C2314yes—
676#381C2312yes—
677#381C2314yes—
678#380C2314yes—
679#380C2312yes—
680#380C2314yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#379C2314yes—
690#379C2312yes—
691#379C2314yes—
692#379C2312yes—
693#379C2314yes—
694#379C2312yes—
695#379C2312yes—
696#379C2312yes—
697#379C2312yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2314yes—
702#379C2314yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C2×#95C2312yes—
723C25C2412yes—
724C25C2414yes—
725C25C2414yes—
726C25C2412yes—
727C2×#41—48no—
728C2×#41—44no—
729C22×Q8C2412yes—
730C22×Q8C2412yes—
731C22×D4—24no—
732C22×D4—28no—
733C22×D4—24no—
734C22×D4—24no—
735C22×D4—42no—
736C22×D4—42no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4—48no—
741C22×D4—48no—
742C22×D4—48no—
743C22×D4—42no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—48no—
750C22×D4—48no—
751C22×D4—48no—
752C22×D4—48no—
753C22×D4—48no—
754C22×D4—84no—
755C22×D4—84no—
756C22×D4—84no—
757C22×D4—84no—
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2411yescharacteristic
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2411yescharacteristic
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2411yescharacteristic
794C23×C4C2411yescharacteristic
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2414yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2414yes—
805C23×C4C2411yescharacteristic
806C4⋊Q8—42no—
807#127—28no—
808#127—44no—
809#127—44no—
810#127—42no—
811#127—44no—
812#127—48no—
813#127—48no—
814#126—48no—
815#126—44no—
816#126—44no—
817#126—48no—
818#125—44no—
819#124—48no—
820#124—48no—
821#124—44no—
822#124—48no—
823#123—44no—
824#123—44no—
825#123—48no—
826#123—48no—
827#123—48no—
828#123—48no—
829#123—48no—
830#123—84no—
831#123—84no—
832#123—84no—
833#123—84no—
834C22⋊Q8—28no—
835C22⋊Q8—44no—
836C22⋊Q8—44no—
837C22⋊Q8—48no—
838C22⋊Q8—84no—
839#121—28no—
840#121—28no—
841#121—28no—
842#121—216no—
843#121—28no—
844#121—48no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—44no—
850#121—48no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—48no—
855#121—44no—
856#121—44no—
857#121—44no—
858#121—44no—
859#121—48no—
860#121—44no—
861#121—48no—
862#121—84no—
863#121—84no—
864#120—216no—
865#120—48no—
866#120—48no—
867#120—48no—
868#120—48no—
869#120—48no—
870#120—48no—
871#120—48no—
872#120—48no—
873#120—48no—
874#120—48no—
875#120—48no—
876#120—48no—
877#120—48no—
878#120—84no—
879#120—84no—
880#120—84no—
881#120—84no—
882C4×Q8—44no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—216no—
888C4×D4—42no—
889C4×D4—42no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—42no—
896C4×D4—48no—
897C4×D4—42no—
898C4×D4—48no—
899C4×D4—48no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—48no—
903#117—24no—
904#117—42no—
905#117—44no—
906#117—42no—
907#117—44no—
908#117—42no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C22⋊C4—48no—
951C2×C22⋊C4—48no—
952C2×C22⋊C4—44no—
953C2×C22⋊C4—44no—
954C2×C22⋊C4—48no—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2411yescharacteristic
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C42—44no—
1036C2×C42—42no—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052#95C2411yescharacteristic
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2411yescharacteristic
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2411yescharacteristic
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092C24—24no—
1093C24—24no—
1094C24—28no—
1095C24—28no—
1096C24—24no—
1097C24—42no—
1098C24—42no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24—44no—
1115C24—42no—
1116C24C2512yes—
1117C24C2514yes—
1118C24C2514yes—
1119C24C2512yes—
1120C24C2511yescharacteristic
1121C24C2512yes—
1122C24C2512yes—
1123#41—816no—
1124C2×Q8—24no—
1125C2×Q8—42no—
1126C2×Q8—44no—
1127C2×Q8—42no—
1128C2×Q8—42no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—24no—
1136C2×D4—28no—
1137C2×D4—24no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—28no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—22no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—416no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—41no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—41no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—88no—
1225C2×D4—816no—
1226C2×D4—816no—
1227C2×D4—816no—
1228C2×D4—816no—
1229C2×D4—832no—
1230C2×D4—832no—
1231C2×D4—832no—
1232C2×D4—816no—
1233C2×D4H(5,𝔽2)14yes—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4H(5,𝔽2)14yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—44no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—41no—
1318C4⋊C4—44no—
1319C4⋊C4—41no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4H(5,𝔽2)18yes—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—22no—
1420C42—24no—
1421C42—28no—
1422C42—42no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—44no—
1427C42—42no—
1428C42—44no—
1429C42—44no—
1430C23—22no—
1431C23—21no—
1432C23—22no—
1433C23—22no—
1434C23—24no—
1435C23—22no—
1436C23—22no—
1437C23—21no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—24no—
1447C23—24no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—22no—
1452C23—24no—
1453C23—22no—
1454C23—22no—
1455C23—24no—
1456C23—24no—
1457C23—22no—
1458C23—24no—
1459C23—22no—
1460C23—22no—
1461C23—24no—
1462C23—24no—
1463C23—24no—
1464C23—24no—
1465C23—24no—
1466C23—24no—
1467C23—22no—
1468C23—22no—
1469C23—24no—
1470C23—48no—
1471C23—84no—
1472C23—88no—
1473C23—88no—
1474C23—84no—
1475C23—88no—
1476C23—84no—
1477C23—88no—
1478C23—88no—
1479C23—88no—
1480C23—88no—
1481C23—88no—
1482C23—88no—
1483C23—84no—
1484C23—84no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—164no—
1489C23—164no—
1490C23—164no—
1491C23—164no—
1492C23—164no—
1493C23—164no—
1494C23C2×H(5,𝔽2)12yes—
1495C23C2×H(5,𝔽2)14yes—
1496C23C2×H(5,𝔽2)14yes—
1497C23C2611yescharacteristic
1498Q8—84no—
1499Q8—84no—
1500D4—28no—
1501D4—48no—
1502D4—48no—
1503D4—416no—
1504D4—48no—
1505D4—48no—
1506D4—416no—
1507D4—44no—
1508D4—416no—
1509D4—44no—
1510D4—44no—
1511D4—48no—
1512D4—48no—
1513D4—84no—
1514D4—88no—
1515D4—88no—
1516D4—84no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525D4—84no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—162no—
1530D4—164no—
1531D4—164no—
1532D4—164no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—28no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—48no—
1592C2×C4—84no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—88no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4—162no—
1601C2×C4—162no—
1602C2×C4C2×H(5,𝔽2)14yes—
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4C2×H(5,𝔽2)14yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4#58512yes—
1608C22—22no—
1609C22—24no—
1610C22—24no—
1611C22—24no—
1612C22—24no—
1613C22—24no—
1614C22—24no—
1615C22—24no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—44no—
1621C22—42no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—44no—
1628C22—44no—
1629C22—44no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—44no—
1636C22—44no—
1637C22—44no—
1638C22—42no—
1639C22—44no—
1640C22—44no—
1641C22—44no—
1642C22—42no—
1643C22—44no—
1644C22—44no—
1645C22—44no—
1646C22—42no—
1647C22—44no—
1648C22—42no—
1649C22—44no—
1650C22—44no—
1651C22—168no—
1652C22—1616no—
1653C22—1616no—
1654C22—168no—
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C22×H(5,𝔽2)12yes—
1658C22C2×#58511yescharacteristic
1659C22H(7,𝔽2)12yes—
1660C4—22no—
1661C4—24no—
1662C4—24no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—44no—
1667C4—41no—
1668C4—41no—
1669C4—42no—
1670C4—41no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—44no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—44no—
1680C4—44no—
1681C4#353414yes—
1682C2—44no—
1683C2—44no—
1684C2—42no—
1685C2—82no—
1686C2—82no—
1687C2—84no—
1688C2—84no—
1689C2C2×#353411yescharacteristic
1690C2#6291212yes—
1691C2#6295512yes—
1692C2#6301111yescharacteristic
1693C2#6304511yescharacteristic
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. #59808C2semidirect
2. #59548C2semidirect
3. #59126C2semidirect
4. #58256C2semidirect
5. #57979C2semidirect
6. #56344C2semidirect
7. #54935C2semidirect
8. #53431C2semidirect
9. #53106C2semidirect
10. #52310C2semidirect
11. #52168C2semidirect
12. #50760C2semidirect
13. #47829C2semidirect
14. #45655C2semidirect
15. #45367C2semidirect
16. #43098C2semidirect
17. #42975C2semidirect
18. #42593C2semidirect
19. #42475C2semidirect
20. #42475C2semidirect
21. #40506C2semidirect
22. #40149C2semidirect
23. #39383C2semidirect
24. #38910C2semidirect
25. #38026C2semidirect
26. #37523C2semidirect
27. #35730C2semidirect
28. #35691C2semidirect
29. #35554C2semidirect
30. C2×#547C22semidirect
31. C2×#546C22semidirect
32. C2×D42C22semidirect
33. C2×D42C22semidirect
34. C2×D42C22semidirect
35. C2×D42C22semidirect
36. C2×D42C22semidirect
37. C2×#538C22semidirect
39. C2×#529C22semidirect
40. C2×#518C22semidirect
41. #2856C22semidirect
42. #2854C22semidirect
43. #2828C22semidirect
44. #2828C22semidirect
45. #2828C22semidirect
46. #2826C22semidirect
47. #2824C22semidirect
48. #2824C22semidirect
49. #2819C22semidirect
50. #2816C22semidirect
51. #2813C22semidirect
52. #2812C22semidirect
53. #2812C22semidirect
54. #2803C22semidirect
55. #2756C22semidirect
56. #2753C22semidirect
57. #2750C22semidirect
58. #2749C22semidirect
59. #2749C22semidirect
60. #2749C22semidirect
61. #2749C22semidirect
62. #2740C22semidirect
63. #2736C22semidirect
64. #2733C22semidirect
65. #2725C22semidirect
66. #2722C22semidirect
67. #2714C22semidirect
68. #2714C22semidirect
69. #2714C22semidirect
70. #2712C22semidirect
71. #2711C22semidirect
72. #2706C22semidirect
73. #2705C22semidirect
74. #2704C22semidirect
75. #2703C22semidirect
76. #2701C22semidirect
77. #2699C22semidirect
78. #2699C22semidirect
79. #2697C22semidirect
80. #2693C22semidirect
81. #2693C22semidirect
82. #2691C22semidirect
83. #2686C22semidirect
84. #2685C22semidirect
85. #2685C22semidirect
86. #2685C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2682C22semidirect
90. #2681C22semidirect
91. #2681C22semidirect
92. #2681C22semidirect
93. #2679C22semidirect
94. #2679C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2676C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2672C22semidirect
108. #2671C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2663C22semidirect
115. #2662C22semidirect
116. #2651C22semidirect
117. #2649C22semidirect
118. #2638C22semidirect
119. #2636C22semidirect
120. #2635C22semidirect
121. #2628C22semidirect
122. #2624C22semidirect
123. #2624C22semidirect
125. #2619C22semidirect
126. #2617C22semidirect
127. #2617C22semidirect
128. #2613C22semidirect
129. #2613C22semidirect
130. #2613C22semidirect
131. #2595C22semidirect
132. #2593C22semidirect
133. #2580C22semidirect
134. #2563C22semidirect
135. #2561C22semidirect
136. #2554C22semidirect
137. #2554C22semidirect
138. #2548C22semidirect
139. #2548C22semidirect
140. #2543C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2540C22semidirect
145. #2539C22semidirect
146. #2538C22semidirect
147. #2535C22semidirect
148. #2535C22semidirect
149. #2534C22semidirect
150. #2534C22semidirect
151. #2525C22semidirect
152. #2513C22semidirect
153. #2512C22semidirect
154. #2512C22semidirect
155. #2509C22semidirect
156. #2508C22semidirect
157. #2500C22semidirect
158. #2497C22semidirect
159. #2491C22semidirect
160. #2490C22semidirect
161. #2488C22semidirect
162. #2486C22semidirect
163. #2472C22semidirect
164. #2472C22semidirect
165. #2472C22semidirect
166. #2468C22semidirect
167. #2466C22semidirect
168. #2464C22semidirect
169. #2463C22semidirect
170. #2461C22semidirect
171. #2457C22semidirect
172. #2456C22semidirect
173. #2455C22semidirect
174. #2452C22semidirect
175. #2445C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2445C22semidirect
184. #2435C22semidirect
186. #2433C22semidirect
187. #2433C22semidirect
188. #2433C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2424C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2420C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
199. #2418C22semidirect
200. #2416C22semidirect
201. #2414C22semidirect
202. #2414C22semidirect
203. #2414C22semidirect
204. #2414C22semidirect
205. #2414C22semidirect
206. #2410C22semidirect
207. #2410C22semidirect
208. #2408C22semidirect
209. #2408C22semidirect
210. #2408C22semidirect
211. #2408C22semidirect
212. #2408C22semidirect
213. #2408C22semidirect
214. #2408C22semidirect
215. #2408C22semidirect
216. #2405C22semidirect
217. #2405C22semidirect
218. #2405C22semidirect
219. #2405C22semidirect
220. #2405C22semidirect
221. #2405C22semidirect
222. #2404C22semidirect
223. #2404C22semidirect
224. #2403C22semidirect
225. #2403C22semidirect
226. #2403C22semidirect
227. #2403C22semidirect
228. #2396C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
232. #2388C22semidirect
233. C2×#392C22semidirect
234. #2375C22semidirect
235. #2366C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
238. #2357C22semidirect
239. #2357C22semidirect
240. #2354C22semidirect
241. #2352C22semidirect
242. #2349C22semidirect
243. #2347C22semidirect
244. D4×C22⋊C4C22semidirect
245. #2325C22semidirect
246. #2324C22semidirect
247. #2309C22semidirect
248. #2309C22semidirect
249. #2309C22semidirect
250. #2309C22semidirect
251. C4×C22⋊Q8C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
256. #2296C22semidirect
257. #2296C22semidirect
258. C2×#390C22semidirect

Maximal subgroups

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

subgroupindex
#598082
#595482
#591262
#582562
#579792
#563442
#549352
#534312
#531062
#523102
#521682
#507602
#478292
#456552
#453672
#430982
#429752
#425932
#424752
#405062
#401492
#393832
#389102
#380262
#375232
#357302
#356912
#355542