Finite Group Databasebeta

← #8726564

Subgroups — #8726564

Order 512.

5854 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59755C212yesmaximal, complemented
2#59628C211yesmaximal, characteristic, complemented
3#59131C212yesmaximal, complemented
4#59097C212yesmaximal, complemented
5#59049C212yesmaximal, complemented
6#58300C212yesmaximal, complemented
7#58251C214yesmaximal, complemented
8#57499C214yesmaximal, complemented
9#57200C214yesmaximal, complemented
10#53103C211yesmaximal, characteristic, complemented
11#53000C212yesmaximal, complemented
12#52299C211yesmaximal, characteristic, complemented
13#46789C214yesmaximal, complemented
14#46414C212yesmaximal, complemented
15#44957C214yesmaximal, complemented
16#44886C212yesmaximal, complemented
17#44870C211yesmaximal, characteristic, complemented
18#43361C212yesmaximal, complemented
19#42987C212yesmaximal, complemented
20#42984C211yesmaximal, characteristic, complemented
21#41289C212yesmaximal, complemented
22#41041C214yesmaximal, complemented
23#40116C212yesmaximal, complemented
24#40054C212yesmaximal, complemented
25#39957C212yesmaximal, complemented
26#39342C212yesmaximal, complemented
27#39135C211yesmaximal, characteristic, complemented
28#36066C211yesmaximal, characteristic, complemented
29#35895C212yesmaximal, complemented
30C2×#559C2212yescomplemented
31C2×#556C2212yescomplemented
32C2×#550C2211yescharacteristic, complemented
33C2×#550C2212yescomplemented
34C2×#548C2212yescomplemented
35C2×#548C2211yescharacteristic, complemented
36C2×#546C2212yescomplemented
37C2×D42C2212yes—
38C2×#537C2211yescharacteristic, complemented
39C2×#535C2212yes—
40C2×#535C2214yescomplemented
41C2×#532C2212yescomplemented
42C22×#124C2211yescharacteristic
43#2856C2212yes—
44#2854C2211yescharacteristic, complemented
45#2829C2214yescomplemented
46#2828C2214yescomplemented
47#2825C2214yescomplemented
48#2818C2214yescomplemented
49#2816C2212yescomplemented
50#2815C2212yescomplemented
51#2813C2214yescomplemented
52#2812C2214yescomplemented
53#2812C2212yescomplemented
54#2803C2214yescomplemented
55#2801C2212yescomplemented
56#2797C2214yescomplemented
57#2760C2211yescharacteristic, complemented
58#2756C2214yescomplemented
59#2756C2214yescomplemented
60#2752C2211yescharacteristic
61#2752C2212yescomplemented
62#2752C2212yescomplemented
63#2748C2214yescomplemented
64#2742C2211yescharacteristic, complemented
65#2742C2212yescomplemented
66#2735C2212yescomplemented
67#2733C2214yescomplemented
68#2730C2214yescomplemented
69#2714C2214yescomplemented
70#2714C2214yescomplemented
71#2712C2212yescomplemented
72#2712C2214yescomplemented
73#2709C2212yescomplemented
74#2703C2214yescomplemented
75#2703C2212yescomplemented
76#2703C2212yescomplemented
77#2703C2212yescomplemented
78#2701C2214yescomplemented
79#2699C2214yescomplemented
80#2691C2214yescomplemented
81#2686C2214yescomplemented
82#2685C2214yescomplemented
83#2685C2214yescomplemented
84#2679C2212yes—
85#2678C2214yescomplemented
86#2678C2214yescomplemented
87#2678C2214yescomplemented
88#2676C2214yescomplemented
89#2675C2211yescharacteristic
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2672C2214yescomplemented
95#2671C2214yescomplemented
96#2671C2214yescomplemented
97#2671C2214yescomplemented
98#2670C2212yes—
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2670C2214yescomplemented
102#2670C2214yescomplemented
103#2670C2214yescomplemented
104#2669C2214yes—
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2669C2214yescomplemented
109#2669C2214yescomplemented
110#2668C2214yescomplemented
111#2668C2214yescomplemented
112#2662C2214yescomplemented
113#2661C2214yescomplemented
114#2661C2214yescomplemented
115#2659C2212yescomplemented
116#2657C2211yescharacteristic, complemented
117#2657C2212yescomplemented
118#2651C2214yescomplemented
119#2651C2214yescomplemented
120#2644C2212yescomplemented
121#2638C2212yescomplemented
122#2632C2214yescomplemented
123#2617C2212yescomplemented
124#2616C2211yescharacteristic, complemented
125#2615C2214yescomplemented
126#2602C2214yescomplemented
127#2600C2212yescomplemented
128#2594C2214yescomplemented
129#2577C2214yescomplemented
130#2560C2214yescomplemented
131#2555C2212yes—
132#2555C2214yescomplemented
133#2555C2214yescomplemented
134#2555C2214yescomplemented
135#2548C2212yescomplemented
136#2548C2214yescomplemented
137#2548C2214yescomplemented
138#2544C2212yes—
139#2543C2212yes—
140#2541C2212yes—
141#2541C2211yescharacteristic
142#2541C2212yes—
143#2541C2212yescomplemented
144#2541C2214yescomplemented
145#2541C2214yescomplemented
146#2541C2212yescomplemented
147#2540C2212yes—
148#2540C2214yescomplemented
149#2540C2212yescomplemented
150#2540C2211yescharacteristic, complemented
151#2540C2212yescomplemented
152#2539C2214yescomplemented
153#2539C2212yescomplemented
154#2537C2212yescomplemented
155#2534C2212yescomplemented
156#2532C2214yescomplemented
157#2531C2214yescomplemented
158#2521C2214yescomplemented
159#2507C2212yescomplemented
160#2502C2211yescharacteristic, complemented
161#2491C2212yes—
162#2491C2212yescomplemented
163#2491C2212yescomplemented
164#2486C2211yescharacteristic, complemented
165#2485C2212yescomplemented
166#2476C2214yescomplemented
167#2474C2214yescomplemented
168#2472C2214yescomplemented
169#2467C2214yescomplemented
170#2467C2214yescomplemented
171#2467C2214yescomplemented
172#2465C2214yescomplemented
173#2464C2214yescomplemented
174#2464C2214yescomplemented
175#2464C2214yescomplemented
176#2461C2214yescomplemented
177#2459C2214yescomplemented
178#2459C2214yescomplemented
179#2458C2214yescomplemented
180#2451C2212yescomplemented
181#2448C2212yescomplemented
182#2448C2212yescomplemented
183#2448C2214yescomplemented
184#2448C2214yescomplemented
185#2445C2212yescomplemented
186#2445C2212yescomplemented
187#2445C2214yescomplemented
188#2435C2212yescomplemented
189#2433C2212yes—
190#2433C2214yes—
191#2433C2211yescharacteristic
192#2433C2212yescomplemented
193#2431C2212yes—
194#2431C2214yescomplemented
195#2431C2212yescomplemented
196#2431C2214yescomplemented
197#2430C2214yescomplemented
198#2428C2212yes—
199#2428C2212yescomplemented
200#2427C2212yescomplemented
201#2427C2212yescomplemented
202#2426C2212yes—
203#2426C2212yescomplemented
204#2426C2212yescomplemented
205#2424C2214yescomplemented
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2423C2212yescomplemented
209#2422C2212yescomplemented
210#2418C2214yescomplemented
211#2416C2212yescomplemented
212#2414C2212yes—
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2214yescomplemented
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2410C2214yescomplemented
219#2409C2212yescomplemented
220#2408C2211yescharacteristic
221#2408C2212yes—
222#2408C2212yescomplemented
223#2408C2214yescomplemented
224#2407C2212yescomplemented
225#2403C2212yes—
226#2401C2212yescomplemented
227#2397C2212yescomplemented
228#2397C2211yescharacteristic, complemented
229#2396C2214yescomplemented
230#2388C2211yescharacteristic
231#2388C2212yescomplemented
232#2367C2212yescomplemented
233#2367C2214yescomplemented
234#2365C2212yescomplemented
235#2364C2214yescomplemented
236#2363C2212yes—
237#2363C2212yescomplemented
238#2362C2212yescomplemented
239#2361C2212yescomplemented
240#2354C2212yescomplemented
241#2347C2212yescomplemented
242#2341C2214yescomplemented
243Q8×C22⋊C4C2211yescharacteristic, complemented
244#2339C2211yescharacteristic, complemented
245D4×C22⋊C4C2214yescomplemented
246#2335C2214yescomplemented
247#2324C2214yescomplemented
248#2321C2214yescomplemented
249#2321C2212yescomplemented
250C4×C22⋊Q8C2212yescomplemented
251C4×#123C2212yescomplemented
252C4×#123C2211yescharacteristic, complemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256C4×#121C2212yescomplemented
257#2297C2212yescomplemented
258#2276C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C22×#41C2314yes—
262C22×#41C2311yescharacteristic
263C23×Q8C2311yescharacteristic
264C23×D4C2314yes—
265C23×D4C2311yescharacteristic
266C23×D4C2312yes—
267#559—48no—
268#556—48no—
269#550—48no—
270#550—44no—
271#548—48no—
272#548—44no—
273#546—48no—
274D42—48no—
275#537—44no—
276#535—48no—
277#535—416no—
278#532—48no—
279C2×C4⋊Q8C2312yes—
280C2×#127C2314yes—
281C2×#127C2312yes—
282C2×#127C2312yes—
283C2×#127C2314yes—
284C2×#127C2312yes—
285C2×#127C2311yescharacteristic
286C2×#127C2314yes—
287C2×#127C2314yes—
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#124—44no—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297C2×#124C2312yes—
298C2×#124C2311yescharacteristic
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2312yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#123C2311yescharacteristic
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2312yes—
310C2×#123C2312yes—
311C2×#123C2314yes—
312C2×#123C2312yes—
313C2×#123C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2311yescharacteristic
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#120C2312yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2312yes—
364C2×#120C2312yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2312yes—
398#401C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#399C2314yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2311yescharacteristic
408#399C2312yes—
409#399C2311yescharacteristic
410#399C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2312yes—
436#396C2314yes—
437#395C2312yes—
438#395C2312yes—
439#395C2311yescharacteristic
440#395C2314yes—
441#395C2314yes—
442#394C2314yes—
443#394C2311yescharacteristic
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2311yescharacteristic
488#393C2312yes—
489#392C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2311yescharacteristic
509#392C2312yes—
510#392C2312yes—
511#392C2312yes—
512#392C2311yescharacteristic
513#392C2314yes—
514#392C2311yescharacteristic
515#392C2312yes—
516#392C2312yes—
517#392C2314yes—
518#392C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2312yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2314yes—
536#391C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2311yescharacteristic
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#385C2311yescharacteristic
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#384C2312yes—
672#383C2314yes—
673#381C2312yes—
674#381C2311yescharacteristic
675#381C2312yes—
676#381C2312yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2311yescharacteristic
681#380C2311yescharacteristic
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#379C2312yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722#376C2311yescharacteristic
723#376C2312yes—
724C2×#95C2312yes—
725C25C2412yes—
726C25C2414yes—
727C2×#41—24no—
728C2×#41—28no—
729C2×#41—44no—
730C2×#41—42no—
731C2×#41—48no—
732C2×#41—48no—
733C2×#41—48no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C22×Q8—24no—
738C22×Q8—44no—
739C22×Q8C2411yescharacteristic
740C22×Q8C2414yes—
741C22×Q8C2411yescharacteristic
742C22×Q8C2412yes—
743C22×Q8C2411yescharacteristic
744C22×D4—42no—
745C22×D4—44no—
746C22×D4—48no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—48no—
751C22×D4—48no—
752C22×D4C2411yescharacteristic
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2411yescharacteristic
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2411yescharacteristic
774C22×D4C2411yescharacteristic
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C23×C4C2411yescharacteristic
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2411yescharacteristic
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2411yescharacteristic
794C23×C4C2412yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2411yescharacteristic
799C23×C4C2414yes—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C4⋊Q8—28no—
803#127—44no—
804#127—48no—
805#127—48no—
806#127—44no—
807#127—44no—
808#127—42no—
809#127—48no—
810#127—44no—
811#127—48no—
812#127—44no—
813#126—48no—
814#126—48no—
815#124—28no—
816#124—216no—
817#124—48no—
818#124—48no—
819#124—44no—
820#124—44no—
821#124—42no—
822#124—44no—
823#124—48no—
824#124—48no—
825#124—48no—
826#124—48no—
827#124—48no—
828#123—24no—
829#123—44no—
830#123—48no—
831#123—44no—
832#123—48no—
833#123—48no—
834#123—82no—
835#123—84no—
836C22⋊Q8—28no—
837C22⋊Q8—28no—
838C22⋊Q8—48no—
839C22⋊Q8—44no—
840C22⋊Q8—42no—
841C22⋊Q8—44no—
842C22⋊Q8—44no—
843#121—28no—
844#121—28no—
845#121—28no—
846#121—28no—
847#121—28no—
848#121—44no—
849#121—48no—
850#121—48no—
851#121—44no—
852#121—48no—
853#121—44no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—44no—
864#121—44no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—42no—
869#121—44no—
870#121—44no—
871#121—48no—
872#121—84no—
873#121—84no—
874#121—84no—
875#120—28no—
876#120—48no—
877#120—48no—
878#120—48no—
879#120—48no—
880#120—48no—
881#120—48no—
882#120—48no—
883#120—48no—
884#120—48no—
885#120—82no—
886#120—84no—
887#120—82no—
888#120—84no—
889C4×Q8—24no—
890C4×Q8—28no—
891C4×Q8—44no—
892C4×Q8—48no—
893C4×Q8—48no—
894C4×D4—28no—
895C4×D4—48no—
896C4×D4—48no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—48no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—42no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4—48no—
911#117—28no—
912#117—48no—
913#117—44no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C22⋊C4—44no—
951C2×C22⋊C4—44no—
952C2×C22⋊C4—48no—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C42—42no—
1031C2×C42—44no—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049#95C2411yescharacteristic
1050#95C2414yes—
1051#95C2412yes—
1052#95C2411yescharacteristic
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092C24—24no—
1093C24—42no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24—44no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—42no—
1103C24—44no—
1104C24C2512yes—
1105C24C2514yes—
1106C24C2514yes—
1107C24C2512yes—
1108C24C2511yescharacteristic
1109C24C2512yes—
1110C24C2511yescharacteristic
1111#41—88no—
1112#41—832no—
1113#41—816no—
1114#41—88no—
1115C2×Q8—24no—
1116C2×Q8—24no—
1117C2×Q8—28no—
1118C2×Q8—28no—
1119C2×Q8—22no—
1120C2×Q8—24no—
1121C2×Q8—44no—
1122C2×Q8—41no—
1123C2×Q8—44no—
1124C2×Q8—42no—
1125C2×Q8—88no—
1126C2×Q8H(5,𝔽2)14yes—
1127C2×D4—28no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—22no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—22no—
1140C2×D4—24no—
1141C2×D4—28no—
1142C2×D4—24no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—28no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—41no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—41no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—41no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—41no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—42no—
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—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—832no—
1227C2×D4—88no—
1228C2×D4—816no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—28no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—28no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—41no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—41no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4H(5,𝔽2)18yes—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—41no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—41no—
1366C22⋊C4—44no—
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—41no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4H(5,𝔽2)14yes—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—28no—
1407C42—28no—
1408C42—28no—
1409C42—24no—
1410C42—22no—
1411C42—24no—
1412C42—42no—
1413C42—42no—
1414C42—42no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—42no—
1420C23—22no—
1421C23—21no—
1422C23—22no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23—24no—
1427C23—21no—
1428C23—22no—
1429C23—24no—
1430C23—24no—
1431C23—24no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23—24no—
1437C23—22no—
1438C23—21no—
1439C23—24no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—22no—
1454C23—22no—
1455C23—24no—
1456C23—22no—
1457C23—22no—
1458C23—24no—
1459C23—24no—
1460C23—22no—
1461C23—21no—
1462C23—88no—
1463C23—84no—
1464C23—84no—
1465C23—88no—
1466C23—88no—
1467C23—84no—
1468C23—88no—
1469C23—164no—
1470C23—164no—
1471C23—164no—
1472C23—164no—
1473C23—164no—
1474C23C2×H(5,𝔽2)12yes—
1475C23C2611yescharacteristic
1476Q8—28no—
1477Q8—416no—
1478Q8—44no—
1479Q8—84no—
1480Q8—82no—
1481D4—416no—
1482D4—48no—
1483D4—48no—
1484D4—48no—
1485D4—44no—
1486D4—88no—
1487D4—84no—
1488D4—88no—
1489D4—88no—
1490D4—84no—
1491D4—88no—
1492D4—88no—
1493D4—88no—
1494D4—84no—
1495D4—82no—
1496D4—84no—
1497D4—84no—
1498D4—82no—
1499D4—84no—
1500D4—88no—
1501D4—84no—
1502D4—88no—
1503D4—88no—
1504D4—84no—
1505D4—82no—
1506D4—84no—
1507D4—88no—
1508D4—164no—
1509D4—164no—
1510D4—164no—
1511D4—162no—
1512D4—164no—
1513D4—164no—
1514D4—164no—
1515D4—164no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—416no—
1571C2×C4—48no—
1572C2×C4—44no—
1573C2×C4—48no—
1574C2×C4—48no—
1575C2×C4—44no—
1576C2×C4—84no—
1577C2×C4—88no—
1578C2×C4—84no—
1579C2×C4—88no—
1580C2×C4—82no—
1581C2×C4—82no—
1582C2×C4—84no—
1583C2×C4—164no—
1584C2×C4—162no—
1585C2×C4C2×H(5,𝔽2)14yes—
1586C2×C4C2×H(5,𝔽2)18yes—
1587C2×C4C2×H(5,𝔽2)14yes—
1588C2×C4C2×H(5,𝔽2)12yes—
1589C2×C4C2×H(5,𝔽2)14yes—
1590C2×C4#58514yes—
1591C22—24no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—42no—
1596C22—41no—
1597C22—42no—
1598C22—42no—
1599C22—44no—
1600C22—42no—
1601C22—44no—
1602C22—42no—
1603C22—44no—
1604C22—44no—
1605C22—42no—
1606C22—44no—
1607C22—42no—
1608C22—42no—
1609C22—44no—
1610C22—44no—
1611C22—42no—
1612C22—42no—
1613C22—44no—
1614C22—42no—
1615C22—42no—
1616C22—41no—
1617C22—44no—
1618C22—41no—
1619C22—44no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—42no—
1627C22—44no—
1628C22—44no—
1629C22—44no—
1630C22—42no—
1631C22—44no—
1632C22—42no—
1633C22—42no—
1634C22—168no—
1635C22—1616no—
1636C22C22×H(5,𝔽2)12yes—
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C22C2×#58512yes—
1640C22H(7,𝔽2)11yescharacteristic
1641C4—24no—
1642C4—24no—
1643C4—28no—
1644C4—24no—
1645C4—42no—
1646C4—41no—
1647C4—42no—
1648C4—41no—
1649C4—42no—
1650C4—44no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—44no—
1662C4#354314yes—
1663C2—42no—
1664C2—81no—
1665C2—82no—
1666C2—82no—
1667C2—84no—
1668C2—82no—
1669C2—84no—
1670C2C2×#354311yescharacteristic
1671C2#6291611yescharacteristic
1672C2#6292312yes—
1673C2#6301212yes—
1674C2#6302211yescharacteristic
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. #59755C2semidirect
2. #59628C2semidirect
3. #59131C2semidirect
4. #59097C2semidirect
5. #59049C2semidirect
6. #58300C2semidirect
7. #58251C2semidirect
8. #57499C2semidirect
9. #57200C2semidirect
10. #53103C2semidirect
11. #53000C2semidirect
12. #52299C2semidirect
13. #46789C2semidirect
14. #46414C2semidirect
15. #44957C2semidirect
16. #44886C2semidirect
17. #44870C2semidirect
18. #43361C2semidirect
19. #42987C2semidirect
20. #42984C2semidirect
21. #41289C2semidirect
22. #41041C2semidirect
23. #40116C2semidirect
24. #40054C2semidirect
25. #39957C2semidirect
26. #39342C2semidirect
27. #39135C2semidirect
28. #36066C2semidirect
29. #35895C2semidirect
30. C2×#559C22semidirect
31. C2×#556C22semidirect
32. C2×#550C22semidirect
33. C2×#550C22semidirect
34. C2×#548C22semidirect
35. C2×#548C22semidirect
36. C2×#546C22semidirect
38. C2×#537C22semidirect
40. C2×#535C22semidirect
41. C2×#532C22semidirect
44. #2854C22semidirect
45. #2829C22semidirect
46. #2828C22semidirect
47. #2825C22semidirect
48. #2818C22semidirect
49. #2816C22semidirect
50. #2815C22semidirect
51. #2813C22semidirect
52. #2812C22semidirect
53. #2812C22semidirect
54. #2803C22semidirect
55. #2801C22semidirect
56. #2797C22semidirect
57. #2760C22semidirect
58. #2756C22semidirect
59. #2756C22semidirect
61. #2752C22semidirect
62. #2752C22semidirect
63. #2748C22semidirect
64. #2742C22semidirect
65. #2742C22semidirect
66. #2735C22semidirect
67. #2733C22semidirect
68. #2730C22semidirect
69. #2714C22semidirect
70. #2714C22semidirect
71. #2712C22semidirect
72. #2712C22semidirect
73. #2709C22semidirect
74. #2703C22semidirect
75. #2703C22semidirect
76. #2703C22semidirect
77. #2703C22semidirect
78. #2701C22semidirect
79. #2699C22semidirect
80. #2691C22semidirect
81. #2686C22semidirect
82. #2685C22semidirect
83. #2685C22semidirect
85. #2678C22semidirect
86. #2678C22semidirect
87. #2678C22semidirect
88. #2676C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2672C22semidirect
95. #2671C22semidirect
96. #2671C22semidirect
97. #2671C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
101. #2670C22semidirect
102. #2670C22semidirect
103. #2670C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2669C22semidirect
110. #2668C22semidirect
111. #2668C22semidirect
112. #2662C22semidirect
113. #2661C22semidirect
114. #2661C22semidirect
115. #2659C22semidirect
116. #2657C22semidirect
117. #2657C22semidirect
118. #2651C22semidirect
119. #2651C22semidirect
120. #2644C22semidirect
121. #2638C22semidirect
122. #2632C22semidirect
123. #2617C22semidirect
124. #2616C22semidirect
125. #2615C22semidirect
126. #2602C22semidirect
127. #2600C22semidirect
128. #2594C22semidirect
129. #2577C22semidirect
130. #2560C22semidirect
132. #2555C22semidirect
133. #2555C22semidirect
134. #2555C22semidirect
135. #2548C22semidirect
136. #2548C22semidirect
137. #2548C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
148. #2540C22semidirect
149. #2540C22semidirect
150. #2540C22semidirect
151. #2540C22semidirect
152. #2539C22semidirect
153. #2539C22semidirect
154. #2537C22semidirect
155. #2534C22semidirect
156. #2532C22semidirect
157. #2531C22semidirect
158. #2521C22semidirect
159. #2507C22semidirect
160. #2502C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2486C22semidirect
165. #2485C22semidirect
166. #2476C22semidirect
167. #2474C22semidirect
168. #2472C22semidirect
169. #2467C22semidirect
170. #2467C22semidirect
171. #2467C22semidirect
172. #2465C22semidirect
173. #2464C22semidirect
174. #2464C22semidirect
175. #2464C22semidirect
176. #2461C22semidirect
177. #2459C22semidirect
178. #2459C22semidirect
179. #2458C22semidirect
180. #2451C22semidirect
181. #2448C22semidirect
182. #2448C22semidirect
183. #2448C22semidirect
184. #2448C22semidirect
185. #2445C22semidirect
186. #2445C22semidirect
187. #2445C22semidirect
188. #2435C22semidirect
192. #2433C22semidirect
194. #2431C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
197. #2430C22semidirect
199. #2428C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2424C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2423C22semidirect
209. #2422C22semidirect
210. #2418C22semidirect
211. #2416C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2410C22semidirect
219. #2409C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2407C22semidirect
226. #2401C22semidirect
227. #2397C22semidirect
228. #2397C22semidirect
229. #2396C22semidirect
231. #2388C22semidirect
232. #2367C22semidirect
233. #2367C22semidirect
234. #2365C22semidirect
235. #2364C22semidirect
237. #2363C22semidirect
238. #2362C22semidirect
239. #2361C22semidirect
240. #2354C22semidirect
241. #2347C22semidirect
242. #2341C22semidirect
243. Q8×C22⋊C4C22semidirect
244. #2339C22semidirect
245. D4×C22⋊C4C22semidirect
246. #2335C22semidirect
247. #2324C22semidirect
248. #2321C22semidirect
249. #2321C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×#123C22semidirect
252. C4×#123C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
256. C4×#121C22semidirect
257. #2297C22semidirect
258. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#597552
#596282
#591312
#590972
#590492
#583002
#582512
#574992
#572002
#531032
#530002
#522992
#467892
#464142
#449572
#448862
#448702
#433612
#429872
#429842
#412892
#410412
#401162
#400542
#399572
#393422
#391352
#360662
#358952