Finite Group Databasebeta

← #8751200

Subgroups — #8751200

Order 512.

5548 conjugacy classes of subgroups.

The subgroup lattice has 1655 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59003C212yesmaximal, complemented
2#59001C211yesmaximal, characteristic, complemented
3#58916C214yesmaximal, complemented
4#58354C214yesmaximal, complemented
5#57180C214yesmaximal, complemented
6#57151C212yesmaximal, complemented
7#54933C214yesmaximal, complemented
8#53102C212yesmaximal, complemented
9#52986C212yesmaximal, complemented
10#52969C211yesmaximal, characteristic, complemented
11#52476C214yesmaximal, complemented
12#46807C212yesmaximal, complemented
13#45422C211yesmaximal, characteristic, complemented
14#45285C212yesmaximal, complemented
15#45263C212yesmaximal, complemented
16#45216C212yesmaximal, complemented
17#44927C212yesmaximal, complemented
18#42966C212yesmaximal, complemented
19#42906C212yesmaximal, complemented
20#42895C212yesmaximal, complemented
21#42736C212yesmaximal, complemented
22#42480C211yesmaximal, characteristic, complemented
23#41639C212yesmaximal, complemented
24#41237C214yesmaximal, complemented
25#39885C212yesmaximal, complemented
26#39132C211yesmaximal, characteristic, complemented
27#36676C211yesmaximal, characteristic, complemented
28#36018C212yesmaximal, complemented
29#35985C211yesmaximal, characteristic, complemented
30C2×#553C2211yescharacteristic
31C2×#550C2212yes—
32C2×#548C2212yescomplemented
33C2×#548C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×#546C2212yescomplemented
36C2×D42C2211yescharacteristic, complemented
37C2×#535C2212yescomplemented
38C2×#525C2212yescomplemented
39C22×#121C2211yescharacteristic, complemented
40C2×#519C2211yescharacteristic, complemented
41#2847C2211yescharacteristic
42#2842C2211yescharacteristic, complemented
43#2834C2211yescharacteristic, complemented
44#2828C2214yescomplemented
45#2828C2212yescomplemented
46#2828C2214yescomplemented
47#2828C2214yescomplemented
48#2828C2214yescomplemented
49#2827C2212yescomplemented
50#2827C2212yescomplemented
51#2827C2212yescomplemented
52#2826C2211yescharacteristic
53#2826C2212yescomplemented
54#2825C2212yescomplemented
55#2818C2214yescomplemented
56#2815C2214yescomplemented
57#2813C2214yescomplemented
58#2813C2214yescomplemented
59#2813C2212yescomplemented
60#2812C2211yescharacteristic
61#2812C2212yescomplemented
62#2812C2214yescomplemented
63#2812C2212yescomplemented
64#2803C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2800C2214yescomplemented
68#2780C2214yescomplemented
69#2779C2214yescomplemented
70#2778C2214yescomplemented
71#2770C2214yescomplemented
72#2761C2214yescomplemented
73#2756C2214yescomplemented
74#2756C2214yescomplemented
75#2753C2214yescomplemented
76#2753C2214yescomplemented
77#2725C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2711C2214yescomplemented
81#2708C2214yescomplemented
82#2706C2214yescomplemented
83#2701C2214yescomplemented
84#2701C2214yescomplemented
85#2699C2212yescomplemented
86#2697C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2682C2214yescomplemented
90#2682C2214yescomplemented
91#2681C2214yescomplemented
92#2679C2214yescomplemented
93#2679C2214yescomplemented
94#2679C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2676C2214yescomplemented
101#2675C2214yescomplemented
102#2675C2212yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2672C2214yescomplemented
107#2670C2212yes—
108#2670C2214yescomplemented
109#2670C2212yescomplemented
110#2669C2214yes—
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2212yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2668C2212yescomplemented
118#2661C2214yescomplemented
119#2661C2214yescomplemented
120#2661C2214yescomplemented
121#2651C2214yescomplemented
122#2649C2214yescomplemented
123#2648C2214yescomplemented
124#2641C2214yescomplemented
125#2641C2211yescharacteristic, complemented
126#2637C2212yescomplemented
127#2635C2212yes—
128#2630C2214yescomplemented
129#2624C2211yescharacteristic, complemented
130#2624C2212yescomplemented
131#2619C2214yescomplemented
132#2619C2212yescomplemented
133#2617C2212yescomplemented
134#2617C2214yescomplemented
135#2613C2212yescomplemented
136#2604C2212yescomplemented
137#2602C2214yescomplemented
138#2595C2214yescomplemented
139#2593C2214yescomplemented
140#2580C2212yescomplemented
141#2576C2214yescomplemented
142#2573C2214yescomplemented
143#2562C2211yescharacteristic, complemented
144#2559C2214yescomplemented
145#2559C2214yescomplemented
146#2558C2214yescomplemented
147#2548C2212yescomplemented
148#2548C2214yescomplemented
149#2548C2212yescomplemented
150#2541C2212yes—
151#2541C2211yescharacteristic
152#2541C2212yes—
153#2541C2212yescomplemented
154#2539C2214yescomplemented
155#2538C2212yescomplemented
156#2537C2212yescomplemented
157#2536C2212yescomplemented
158#2536C2214yescomplemented
159#2534C2214yescomplemented
160#2531C2214yescomplemented
161#2518C2214yescomplemented
162#2513C2212yescomplemented
163#2512C2212yescomplemented
164#2506C2212yescomplemented
165#2500C2212yescomplemented
166#2495C2212yescomplemented
167#2490C2214yescomplemented
168#2490C2212yescomplemented
169#2490C2214yescomplemented
170#2485C2212yescomplemented
171#2476C2214yescomplemented
172#2472C2214yescomplemented
173#2470C2214yescomplemented
174#2464C2214yescomplemented
175#2463C2212yescomplemented
176#2461C2214yescomplemented
177#2456C2214yescomplemented
178#2456C2214yescomplemented
179#2456C2214yescomplemented
180#2455C2212yescomplemented
181#2453C2212yescomplemented
182#2445C2212yescomplemented
183#2445C2212yescomplemented
184#2437C2212yescomplemented
185#2436C2211yescharacteristic, complemented
186#2433C2211yescharacteristic
187#2433C2212yescomplemented
188#2433C2214yescomplemented
189#2433C2212yescomplemented
190#2433C2212yescomplemented
191#2433C2214yescomplemented
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2428C2212yes—
195#2428C2214yescomplemented
196#2428C2214yescomplemented
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2426C2212yes—
200#2426C2214yescomplemented
201#2426C2214yescomplemented
202#2426C2212yescomplemented
203#2426C2212yescomplemented
204#2426C2212yescomplemented
205#2426C2212yescomplemented
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2422C2212yescomplemented
211#2420C2212yescomplemented
212#2416C2212yes—
213#2414C2214yescomplemented
214#2414C2214yescomplemented
215#2414C2212yescomplemented
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2410C2214yescomplemented
220#2410C2214yescomplemented
221#2409C2211yescharacteristic, complemented
222#2408C2212yes—
223#2408C2212yes—
224#2408C2212yescomplemented
225#2408C2211yescharacteristic, complemented
226#2408C2212yescomplemented
227#2408C2212yescomplemented
228#2407C2212yescomplemented
229#2407C2212yescomplemented
230#2401C2212yescomplemented
231#2398C2212yescomplemented
232#2397C2211yescharacteristic
233#2395C2211yescharacteristic, complemented
234#2395C2212yescomplemented
235#2392C2214yescomplemented
236#2392C2212yescomplemented
237#2392C2212yescomplemented
238#2392C2212yescomplemented
239#2367C2212yescomplemented
240#2367C2212yescomplemented
241#2366C2212yescomplemented
242#2363C2212yescomplemented
243#2362C2212yescomplemented
244#2360C2212yescomplemented
245#2358C2214yescomplemented
246#2351C2212yescomplemented
247#2346C2211yescharacteristic, complemented
248#2345C2211yescharacteristic, complemented
249#2341C2212yescomplemented
250#2341C2212yescomplemented
251#2326C2212yescomplemented
252#2324C2212yescomplemented
253#2323C2212yescomplemented
254#2321C2214yescomplemented
255#2321C2212yescomplemented
256#2319C2211yescharacteristic, complemented
257C4×#120C2211yescharacteristic, complemented
258C4×#120C2212yescomplemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×Q8C2311yescharacteristic
262C23×D4C2312yes—
263C23×D4C2311yescharacteristic
264C23×D4C2312yes—
265C23×D4C2312yes—
266C24×C4C2311yescharacteristic
267#553—44no—
268#550—48no—
269#548—48no—
270#548—48no—
271#546—48no—
272#546—48no—
273D42—44no—
274#535—48no—
275C2×#127C2314yes—
276C2×#127C2312yes—
277C2×#127C2312yes—
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#127C2314yes—
282C2×#127C2314yes—
283C2×#126C2312yes—
284C2×#126C2314yes—
285C2×#125C2311yescharacteristic
286C2×#125C2314yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2314yes—
291C2×#124C2314yes—
292#525—48no—
293C2×#123C2314yes—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×#121—44no—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2311yescharacteristic
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2312yes—
317C2×#121C2311yescharacteristic
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#120C2312yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2311yescharacteristic
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2312yes—
346C2×#120C2312yes—
347C2×#120C2314yes—
348C2×#120C2312yes—
349C2×#120C2312yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354#519—44no—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2314yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386#401C2312yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2312yes—
391#400C2311yescharacteristic
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#399C2311yescharacteristic
397#399C2312yes—
398#399C2312yes—
399#399C2311yescharacteristic
400#399C2311yescharacteristic
401#399C2312yes—
402#399C2314yes—
403#398C2311yescharacteristic
404#398C2312yes—
405#398C2312yes—
406#398C2312yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#397C2312yes—
412#397C2312yes—
413#397C2312yes—
414#397C2312yes—
415#397C2312yes—
416#397C2312yes—
417#397C2312yes—
418#397C2312yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2311yescharacteristic
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#396C2312yes—
433#396C2312yes—
434#396C2312yes—
435#396C2312yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#395C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#393C2312yes—
507#393C2312yes—
508#393C2312yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2311yescharacteristic
516#392C2312yes—
517#392C2312yes—
518#392C2312yes—
519#392C2311yescharacteristic
520#392C2312yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2314yes—
546#392C2314yes—
547#391C2312yes—
548#391C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#388C2314yes—
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#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2311yescharacteristic
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#385C2311yescharacteristic
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#384C2312yes—
676#383C2314yes—
677#382C2314yes—
678#382C2312yes—
679#382C2312yes—
680#381C2314yes—
681#381C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2311yescharacteristic
688#380C2314yes—
689#380C2314yes—
690#380C2312yes—
691#380C2311yescharacteristic
692#380C2314yes—
693#379C2312yes—
694#379C2314yes—
695#379C2311yescharacteristic
696#379C2312yes—
697#379C2314yes—
698#379C2314yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721#376C2311yescharacteristic
722#376C2312yes—
723C25C2412yes—
724C25C2411yescharacteristic
725C25C2414yes—
726C2×#41—28no—
727C2×#41—28no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—44no—
732C22×Q8—28no—
733C22×Q8—42no—
734C22×Q8C2412yes—
735C22×Q8C2412yes—
736C22×D4—42no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—84no—
744C22×D4—84no—
745C22×D4C2411yescharacteristic
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2411yescharacteristic
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C23×C4—42no—
779C23×C4—44no—
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2412yes—
789C23×C4C2411yescharacteristic
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793#127—44no—
794#127—44no—
795#127—42no—
796#127—44no—
797#127—48no—
798#127—44no—
799#127—84no—
800#127—84no—
801#126—44no—
802#126—84no—
803#125—42no—
804#125—84no—
805#124—28no—
806#124—28no—
807#124—28no—
808#124—48no—
809#124—48no—
810#123—48no—
811#123—48no—
812#123—44no—
813#123—48no—
814#123—84no—
815#123—84no—
816#123—84no—
817C22⋊Q8—28no—
818C22⋊Q8—28no—
819C22⋊Q8—28no—
820C22⋊Q8—48no—
821C22⋊Q8—48no—
822#121—28no—
823#121—28no—
824#121—48no—
825#121—48no—
826#121—44no—
827#121—48no—
828#121—48no—
829#121—44no—
830#121—48no—
831#121—48no—
832#121—48no—
833#121—48no—
834#121—48no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—42no—
843#121—42no—
844#121—84no—
845#121—84no—
846#121—84no—
847#121—84no—
848#121—84no—
849#121—84no—
850#121—84no—
851#120—48no—
852#120—48no—
853#120—48no—
854#120—48no—
855#120—48no—
856#120—48no—
857#120—44no—
858#120—44no—
859#120—48no—
860#120—42no—
861#120—48no—
862#120—84no—
863#120—82no—
864#120—84no—
865#120—84no—
866#120—82no—
867#120—82no—
868#120—84no—
869#120—84no—
870C4×Q8—28no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×D4—24no—
877C4×D4—48no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—42no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—42no—
888C4×D4—48no—
889C4×D4—48no—
890C4×D4—48no—
891C4×D4—48no—
892#117—24no—
893#117—42no—
894#117—44no—
895#117—48no—
896#117—44no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C22⋊C4—44no—
940C2×C22⋊C4—48no—
941C2×C22⋊C4—48no—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036#95C2411yescharacteristic
1037#95C2412yes—
1038#95C2411yescharacteristic
1039#95C2411yescharacteristic
1040#95C2412yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2411yescharacteristic
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079C24—22no—
1080C24—24no—
1081C24—41no—
1082C24—42no—
1083C24—42no—
1084C24—42no—
1085C24—41no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—42no—
1094C24—44no—
1095C24—44no—
1096C24C2512yes—
1097C24C2512yes—
1098C24C2514yes—
1099C24C2512yes—
1100C24C2514yes—
1101C24C2511yescharacteristic
1102C24C2511yescharacteristic
1103#41—816no—
1104#41—816no—
1105C2×Q8—24no—
1106C2×Q8—24no—
1107C2×Q8—28no—
1108C2×Q8—42no—
1109C2×Q8—416no—
1110C2×Q8H(5,𝔽2)18yes—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—41no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—41no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—44no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—41no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—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—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—88no—
1206C2×D4—816no—
1207C2×D4—816no—
1208C2×D4—816no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—24no—
1224C22×C4—42no—
1225C22×C4—41no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—88no—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2514yes—
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2511yescharacteristic
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—44no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—41no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4H(5,𝔽2)14yes—
1306C22⋊C4—24no—
1307C22⋊C4—22no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—41no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—41no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—41no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C42—24no—
1387C42—24no—
1388C42—28no—
1389C42—24no—
1390C42—24no—
1391C42—22no—
1392C42—24no—
1393C42—44no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—42no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—22no—
1404C23—21no—
1405C23—22no—
1406C23—24no—
1407C23—22no—
1408C23—24no—
1409C23—24no—
1410C23—22no—
1411C23—24no—
1412C23—24no—
1413C23—22no—
1414C23—24no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—24no—
1422C23—22no—
1423C23—22no—
1424C23—24no—
1425C23—21no—
1426C23—24no—
1427C23—24no—
1428C23—22no—
1429C23—22no—
1430C23—24no—
1431C23—24no—
1432C23—24no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—24no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—22no—
1442C23—44no—
1443C23—82no—
1444C23—84no—
1445C23—84no—
1446C23—88no—
1447C23—82no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—88no—
1452C23—88no—
1453C23—88no—
1454C23—164no—
1455C23—164no—
1456C23—164no—
1457C23—164no—
1458C23—164no—
1459C23#58512yes—
1460C23C2611yescharacteristic
1461Q8—216no—
1462Q8—48no—
1463D4—44no—
1464D4—44no—
1465D4—48no—
1466D4—48no—
1467D4—88no—
1468D4—88no—
1469D4—88no—
1470D4—88no—
1471D4—84no—
1472D4—84no—
1473D4—88no—
1474D4—82no—
1475D4—84no—
1476D4—88no—
1477D4—88no—
1478D4—88no—
1479D4—88no—
1480D4—84no—
1481D4—84no—
1482D4—84no—
1483D4—84no—
1484D4—88no—
1485D4—84no—
1486D4—88no—
1487D4—162no—
1488D4—164no—
1489D4—164no—
1490D4—164no—
1491D4—164no—
1492D4—164no—
1493D4—162no—
1494D4—164no—
1495D4—164no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—48no—
1553C2×C4—44no—
1554C2×C4—48no—
1555C2×C4—48no—
1556C2×C4—44no—
1557C2×C4—84no—
1558C2×C4—84no—
1559C2×C4—88no—
1560C2×C4—88no—
1561C2×C4—82no—
1562C2×C4—84no—
1563C2×C4—164no—
1564C2×C4—164no—
1565C2×C4C2×H(5,𝔽2)14yes—
1566C2×C4C2×H(5,𝔽2)18yes—
1567C2×C4C2×H(5,𝔽2)14yes—
1568C2×C4C2×H(5,𝔽2)12yes—
1569C22—24no—
1570C22—22no—
1571C22—41no—
1572C22—41no—
1573C22—42no—
1574C22—41no—
1575C22—42no—
1576C22—42no—
1577C22—44no—
1578C22—44no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—44no—
1584C22—44no—
1585C22—41no—
1586C22—44no—
1587C22—44no—
1588C22—42no—
1589C22—42no—
1590C22—44no—
1591C22—42no—
1592C22—42no—
1593C22—44no—
1594C22—42no—
1595C22—44no—
1596C22—42no—
1597C22—44no—
1598C22—44no—
1599C22—41no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—44no—
1604C22—44no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—44no—
1610C22—44no—
1611C22—44no—
1612C22—88no—
1613C22—168no—
1614C22—1616no—
1615C22C22×H(5,𝔽2)11yescharacteristic
1616C22C22×H(5,𝔽2)12yes—
1617C22C2×#58511yescharacteristic
1618C22H(7,𝔽2)12yes—
1619C22H(7,𝔽2)11yescharacteristic
1620C4—28no—
1621C4—24no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—44no—
1632C4—44no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—44no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—42no—
1641C4#353714yes—
1642C2—42no—
1643C2—81no—
1644C2—82no—
1645C2—84no—
1646C2—84no—
1647C2—82no—
1648C2—82no—
1649C2C2×#353711yescharacteristic
1650C2#6289911yescharacteristic
1651C2#6289912yes—
1652C2#6304511yescharacteristic
1653C2#6306612yes—
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. #59003C2semidirect
2. #59001C2semidirect
3. #58916C2semidirect
4. #58354C2semidirect
5. #57180C2semidirect
6. #57151C2semidirect
7. #54933C2semidirect
8. #53102C2semidirect
9. #52986C2semidirect
10. #52969C2semidirect
11. #52476C2semidirect
12. #46807C2semidirect
13. #45422C2semidirect
14. #45285C2semidirect
15. #45263C2semidirect
16. #45216C2semidirect
17. #44927C2semidirect
18. #42966C2semidirect
19. #42906C2semidirect
20. #42895C2semidirect
21. #42736C2semidirect
22. #42480C2semidirect
23. #41639C2semidirect
24. #41237C2semidirect
25. #39885C2semidirect
26. #39132C2semidirect
27. #36676C2semidirect
28. #36018C2semidirect
29. #35985C2semidirect
32. C2×#548C22semidirect
33. C2×#548C22semidirect
34. C2×#546C22semidirect
35. C2×#546C22semidirect
36. C2×D42C22semidirect
37. C2×#535C22semidirect
38. C2×#525C22semidirect
39. C22×#121C22semidirect
40. C2×#519C22semidirect
42. #2842C22semidirect
43. #2834C22semidirect
44. #2828C22semidirect
45. #2828C22semidirect
46. #2828C22semidirect
47. #2828C22semidirect
48. #2828C22semidirect
49. #2827C22semidirect
50. #2827C22semidirect
51. #2827C22semidirect
53. #2826C22semidirect
54. #2825C22semidirect
55. #2818C22semidirect
56. #2815C22semidirect
57. #2813C22semidirect
58. #2813C22semidirect
59. #2813C22semidirect
61. #2812C22semidirect
62. #2812C22semidirect
63. #2812C22semidirect
64. #2803C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2800C22semidirect
68. #2780C22semidirect
69. #2779C22semidirect
70. #2778C22semidirect
71. #2770C22semidirect
72. #2761C22semidirect
73. #2756C22semidirect
74. #2756C22semidirect
75. #2753C22semidirect
76. #2753C22semidirect
77. #2725C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2711C22semidirect
81. #2708C22semidirect
82. #2706C22semidirect
83. #2701C22semidirect
84. #2701C22semidirect
85. #2699C22semidirect
86. #2697C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2682C22semidirect
90. #2682C22semidirect
91. #2681C22semidirect
92. #2679C22semidirect
93. #2679C22semidirect
94. #2679C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2676C22semidirect
101. #2675C22semidirect
102. #2675C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2672C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2668C22semidirect
118. #2661C22semidirect
119. #2661C22semidirect
120. #2661C22semidirect
121. #2651C22semidirect
122. #2649C22semidirect
123. #2648C22semidirect
124. #2641C22semidirect
125. #2641C22semidirect
126. #2637C22semidirect
128. #2630C22semidirect
129. #2624C22semidirect
130. #2624C22semidirect
131. #2619C22semidirect
132. #2619C22semidirect
133. #2617C22semidirect
134. #2617C22semidirect
135. #2613C22semidirect
136. #2604C22semidirect
137. #2602C22semidirect
138. #2595C22semidirect
139. #2593C22semidirect
140. #2580C22semidirect
141. #2576C22semidirect
142. #2573C22semidirect
143. #2562C22semidirect
144. #2559C22semidirect
145. #2559C22semidirect
146. #2558C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
149. #2548C22semidirect
153. #2541C22semidirect
154. #2539C22semidirect
155. #2538C22semidirect
156. #2537C22semidirect
157. #2536C22semidirect
158. #2536C22semidirect
159. #2534C22semidirect
160. #2531C22semidirect
161. #2518C22semidirect
162. #2513C22semidirect
163. #2512C22semidirect
164. #2506C22semidirect
165. #2500C22semidirect
166. #2495C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
169. #2490C22semidirect
170. #2485C22semidirect
171. #2476C22semidirect
172. #2472C22semidirect
173. #2470C22semidirect
174. #2464C22semidirect
175. #2463C22semidirect
176. #2461C22semidirect
177. #2456C22semidirect
178. #2456C22semidirect
179. #2456C22semidirect
180. #2455C22semidirect
181. #2453C22semidirect
182. #2445C22semidirect
183. #2445C22semidirect
184. #2437C22semidirect
185. #2436C22semidirect
187. #2433C22semidirect
188. #2433C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2426C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2422C22semidirect
211. #2420C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
221. #2409C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2408C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
230. #2401C22semidirect
231. #2398C22semidirect
233. #2395C22semidirect
234. #2395C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
237. #2392C22semidirect
238. #2392C22semidirect
239. #2367C22semidirect
240. #2367C22semidirect
241. #2366C22semidirect
242. #2363C22semidirect
243. #2362C22semidirect
244. #2360C22semidirect
245. #2358C22semidirect
246. #2351C22semidirect
247. #2346C22semidirect
248. #2345C22semidirect
249. #2341C22semidirect
250. #2341C22semidirect
251. #2326C22semidirect
252. #2324C22semidirect
253. #2323C22semidirect
254. #2321C22semidirect
255. #2321C22semidirect
256. #2319C22semidirect
257. C4×#120C22semidirect
258. C4×#120C22semidirect

Maximal subgroups

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

subgroupindex
#590032
#590012
#589162
#583542
#571802
#571512
#549332
#531022
#529862
#529692
#524762
#468072
#454222
#452852
#452632
#452162
#449272
#429662
#429062
#428952
#427362
#424802
#416392
#412372
#398852
#391322
#366762
#360182
#359852