Finite Group Databasebeta

← #8726493

Subgroups — #8726493

Order 512.

5789 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59841C211yesmaximal, characteristic, complemented
2#59544C212yesmaximal, complemented
3#59005C212yesmaximal, complemented
4#59004C212yesmaximal, complemented
5#58996C212yesmaximal, complemented
6#57408C214yesmaximal, complemented
7#56606C214yesmaximal, complemented
8#55615C212yesmaximal, complemented
9#54486C214yesmaximal, complemented
10#53080C211yesmaximal, characteristic, complemented
11#52990C212yesmaximal, complemented
12#52301C211yesmaximal, characteristic, complemented
13#47794C212yesmaximal, complemented
14#46618C214yesmaximal, complemented
15#45384C211yesmaximal, characteristic, complemented
16#45088C212yesmaximal, complemented
17#45009C212yesmaximal, complemented
18#44887C214yesmaximal, complemented
19#42890C212yesmaximal, complemented
20#42484C211yesmaximal, characteristic, complemented
21#42264C212yesmaximal, complemented
22#40912C214yesmaximal, complemented
23#39953C212yesmaximal, complemented
24#39886C212yesmaximal, complemented
25#39339C212yesmaximal, complemented
26#39171C211yesmaximal, characteristic, complemented
27#38905C212yesmaximal, complemented
28#36051C211yesmaximal, characteristic, complemented
29#35912C212yesmaximal, complemented
30C2×#559C2211yescharacteristic, complemented
31C2×#559C2212yescomplemented
32C2×#555C2212yescomplemented
33C2×#555C2211yescharacteristic, complemented
34C2×D4×Q8C2211yescharacteristic, complemented
35C2×#548C2212yescomplemented
36C2×#547C2212yescomplemented
37C2×#546C2212yes—
38C2×D42C2211yescharacteristic
39C2×#535C2214yescomplemented
40C2×#525C2212yescomplemented
41C22×C22⋊Q8C2212yescomplemented
42C22×#121C2212yescomplemented
43#2858C2211yescharacteristic, complemented
44#2847C2212yescomplemented
45#2840C2214yescomplemented
46#2832C2214yescomplemented
47#2832C2214yescomplemented
48#2828C2212yescomplemented
49#2824C2214yescomplemented
50#2824C2214yescomplemented
51#2819C2214yescomplemented
52#2819C2212yescomplemented
53#2813C2212yescomplemented
54#2809C2212yescomplemented
55#2808C2214yescomplemented
56#2804C2211yescharacteristic, complemented
57#2804C2212yescomplemented
58#2804C2212yescomplemented
59#2795C2214yescomplemented
60#2782C2211yescharacteristic
61#2782C2212yescomplemented
62#2782C2212yescomplemented
63#2782C2211yescharacteristic, complemented
64#2782C2212yescomplemented
65#2775C2214yescomplemented
66#2769C2212yescomplemented
67#2744C2214yescomplemented
68#2737C2214yescomplemented
69#2737C2214yescomplemented
70#2736C2214yescomplemented
71#2731C2212yescomplemented
72#2712C2214yescomplemented
73#2712C2214yescomplemented
74#2710C2214yescomplemented
75#2710C2214yescomplemented
76#2706C2214yescomplemented
77#2703C2214yescomplemented
78#2699C2212yescomplemented
79#2696C2214yes—
80#2696C2214yescomplemented
81#2696C2214yescomplemented
82#2696C2214yescomplemented
83#2696C2214yescomplemented
84#2696C2214yescomplemented
85#2692C2214yescomplemented
86#2692C2214yescomplemented
87#2686C2214yescomplemented
88#2684C2212yes—
89#2684C2214yescomplemented
90#2684C2212yescomplemented
91#2684C2212yescomplemented
92#2684C2214yescomplemented
93#2681C2214yescomplemented
94#2681C2214yescomplemented
95#2679C2211yescharacteristic
96#2678C2214yes—
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2676C2214yescomplemented
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2674C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2671C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2669C2214yescomplemented
112#2663C2214yescomplemented
113#2661C2214yescomplemented
114#2661C2212yescomplemented
115#2657C2211yescharacteristic, complemented
116#2640C2212yescomplemented
117#2640C2212yescomplemented
118#2640C2211yescharacteristic, complemented
119#2635C2212yescomplemented
120#2631C2214yescomplemented
121#2631C2214yescomplemented
122#2631C2214yescomplemented
123#2623C2214yescomplemented
124#2613C2212yes—
125#2613C2214yescomplemented
126#2610C2214yescomplemented
127#2609C2212yes—
128#2609C2212yescomplemented
129#2598C2214yescomplemented
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2574C2214yescomplemented
133#2572C2212yes—
134#2572C2214yescomplemented
135#2568C2211yescharacteristic, complemented
136#2567C2212yescomplemented
137#2564C2214yescomplemented
138#2563C2212yescomplemented
139#2557C2214yescomplemented
140#2557C2214yescomplemented
141#2557C2214yescomplemented
142#2548C2211yescharacteristic, complemented
143#2546C2211yescharacteristic, complemented
144#2544C2212yescomplemented
145#2544C2214yescomplemented
146#2543C2212yescomplemented
147#2541C2211yescharacteristic
148#2541C2212yescomplemented
149#2540C2212yes—
150#2540C2211yescharacteristic
151#2540C2211yescharacteristic
152#2540C2212yescomplemented
153#2535C2214yescomplemented
154#2532C2214yescomplemented
155#2500C2214yescomplemented
156#2498C2212yescomplemented
157#2497C2214yescomplemented
158#2492C2212yescomplemented
159#2492C2212yescomplemented
160#2492C2212yescomplemented
161#2491C2214yescomplemented
162#2491C2212yescomplemented
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2476C2214yescomplemented
166#2474C2214yescomplemented
167#2474C2214yescomplemented
168#2472C2214yescomplemented
169#2472C2214yescomplemented
170#2464C2214yescomplemented
171#2463C2214yescomplemented
172#2459C2214yescomplemented
173#2459C2214yescomplemented
174#2452C2214yescomplemented
175#2449C2214yescomplemented
176#2443C2214yescomplemented
177#2439C2214yescomplemented
178#2437C2214yescomplemented
179#2436C2212yescomplemented
180#2436C2212yescomplemented
181#2436C2212yescomplemented
182#2435C2212yescomplemented
183#2435C2212yescomplemented
184#2433C2212yescomplemented
185#2432C2212yescomplemented
186#2431C2212yescomplemented
187#2431C2212yescomplemented
188#2430C2214yescomplemented
189#2429C2212yescomplemented
190#2428C2212yescomplemented
191#2428C2212yescomplemented
192#2428C2212yescomplemented
193#2428C2212yescomplemented
194#2427C2212yescomplemented
195#2427C2212yescomplemented
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2427C2212yescomplemented
199#2426C2212yescomplemented
200#2426C2212yescomplemented
201#2424C2214yes—
202#2424C2214yescomplemented
203#2422C2214yescomplemented
204#2422C2214yescomplemented
205#2418C2214yescomplemented
206#2417C2212yes—
207#2417C2212yescomplemented
208#2416C2212yes—
209#2416C2214yescomplemented
210#2416C2212yescomplemented
211#2415C2212yescomplemented
212#2414C2212yes—
213#2414C2214yescomplemented
214#2411C2214yescomplemented
215#2411C2214yescomplemented
216#2411C2214yescomplemented
217#2410C2214yescomplemented
218#2409C2212yescomplemented
219#2408C2212yes—
220#2408C2212yes—
221#2408C2214yescomplemented
222#2407C2212yescomplemented
223#2404C2214yes—
224#2404C2214yescomplemented
225#2403C2214yes—
226#2398C2211yescharacteristic
227#2398C2212yescomplemented
228#2398C2211yescharacteristic, complemented
229#2398C2212yescomplemented
230#2395C2212yescomplemented
231#2388C2214yescomplemented
232#2363C2212yescomplemented
233#2362C2212yescomplemented
234#2361C2214yescomplemented
235#2361C2212yescomplemented
236#2361C2212yescomplemented
237#2360C2212yescomplemented
238#2360C2212yescomplemented
239#2354C2214yescomplemented
240#2347C2212yescomplemented
241#2344C2212yescomplemented
242#2344C2212yescomplemented
243D4×C22⋊C4C2214yes—
244D4×C22⋊C4C2214yescomplemented
245#2328C2212yescomplemented
246#2324C2214yescomplemented
247#2321C2214yescomplemented
248#2320C2212yescomplemented
249#2319C2211yescharacteristic, complemented
250#2311C2214yescomplemented
251C4×#124C2211yescharacteristic, complemented
252C4×#124C2212yescomplemented
253C4×#120C2212yes—
254C4×#120C2212yescomplemented
255C4×#120C2212yescomplemented
256#2295C2211yescharacteristic, complemented
257#2293C2212yescomplemented
258#2275C2211yescharacteristic, complemented
259C22×#41C2314yes—
260C22×#41C2312yes—
261C23×Q8C2312yes—
262C23×D4C2312yes—
263C23×D4C2314yes—
264C23×D4C2312yes—
265C24×C4C2312yes—
266#559—44no—
267#559—48no—
268#555—44no—
269#555—48no—
270D4×Q8—44no—
271#548—48no—
272#547—48no—
273#546—48no—
274D42—44no—
275#535—416no—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2312yes—
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283C2×#127C2311yescharacteristic
284C2×#127C2312yes—
285C2×#127C2314yes—
286C2×#124C2311yescharacteristic
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2311yescharacteristic
297C2×#124C2311yescharacteristic
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302#525—48no—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2312yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×C22⋊Q8—48no—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×#121—48no—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#120C2312yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2312yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2314yes—
388#400C2312yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2311yescharacteristic
396#400C2311yescharacteristic
397#400C2311yescharacteristic
398#400C2312yes—
399#400C2312yes—
400#400C2311yescharacteristic
401#399C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2312yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#397C2312yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2312yes—
426#397C2312yes—
427#397C2312yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#394C2311yescharacteristic
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2311yescharacteristic
454#394C2311yescharacteristic
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2311yescharacteristic
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2312yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2312yes—
494#393C2314yes—
495#393C2314yes—
496#393C2312yes—
497#393C2312yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2312yes—
508#392C2314yes—
509#392C2312yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2312yes—
519#392C2312yes—
520#392C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2312yes—
649#386C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#384C2314yes—
668#383C2314yes—
669#383C2314yes—
670#382C2311yescharacteristic
671#382C2312yes—
672#382C2314yes—
673#382C2312yes—
674#381C2314yes—
675#381C2312yes—
676#381C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2312yes—
693#379C2312yes—
694#379C2314yes—
695#379C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720#376C2311yescharacteristic
721#376C2312yes—
722#376C2311yescharacteristic
723C2×#95C2312yes—
724C43C2311yescharacteristic
725C25C2412yes—
726C25C2414yes—
727C2×#41—48no—
728C2×#41—48no—
729C2×#41—48no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C22×Q8—44no—
734C22×Q8—44no—
735C22×Q8—44no—
736C22×Q8C2411yescharacteristic
737C22×Q8C2412yes—
738C22×Q8C2411yescharacteristic
739C22×Q8C2412yes—
740C22×Q8C2414yes—
741C22×Q8C2414yes—
742C22×Q8C2412yes—
743C22×D4—48no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—44no—
748C22×D4—48no—
749C22×D4—48no—
750C22×D4—48no—
751C22×D4C2411yescharacteristic
752C22×D4C2411yescharacteristic
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2411yescharacteristic
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2411yescharacteristic
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2411yescharacteristic
777C23×C4—44no—
778C23×C4—44no—
779C23×C4—44no—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2412yes—
787C23×C4C2414yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C4⋊Q8—44no—
795C4⋊Q8—44no—
796C4⋊Q8—42no—
797C4⋊Q8—42no—
798C4⋊Q8—44no—
799#127—28no—
800#127—42no—
801#127—44no—
802#127—42no—
803#127—48no—
804#124—24no—
805#124—48no—
806#124—48no—
807#124—48no—
808#124—48no—
809#124—44no—
810#124—44no—
811#124—44no—
812#124—44no—
813#124—42no—
814#124—42no—
815#124—44no—
816#124—44no—
817#124—48no—
818#124—48no—
819#124—44no—
820#123—48no—
821#123—48no—
822#123—48no—
823#123—48no—
824#123—44no—
825#123—48no—
826#123—48no—
827#123—44no—
828C22⋊Q8—28no—
829C22⋊Q8—28no—
830C22⋊Q8—28no—
831C22⋊Q8—48no—
832C22⋊Q8—48no—
833C22⋊Q8—48no—
834C22⋊Q8—48no—
835C22⋊Q8—48no—
836C22⋊Q8—44no—
837C22⋊Q8—44no—
838C22⋊Q8—44no—
839#121—216no—
840#121—28no—
841#121—28no—
842#121—28no—
843#121—44no—
844#121—44no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—48no—
851#121—48no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—48no—
856#121—44no—
857#121—44no—
858#121—44no—
859#121—48no—
860#120—28no—
861#120—48no—
862#120—48no—
863#120—48no—
864#120—48no—
865#120—48no—
866#120—44no—
867#120—48no—
868#120—44no—
869#120—48no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×D4—24no—
875C4×D4—28no—
876C4×D4—28no—
877C4×D4—24no—
878C4×D4—48no—
879C4×D4—44no—
880C4×D4—48no—
881C4×D4—48no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—42no—
887C4×D4—42no—
888C4×D4—48no—
889C4×D4—44no—
890C4×D4—48no—
891C4×D4—48no—
892#117—28no—
893#117—44no—
894#117—48no—
895#117—48no—
896#117—48no—
897C2×C4⋊C4—28no—
898C2×C4⋊C4—28no—
899C2×C4⋊C4—48no—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C22⋊C4—48no—
938C2×C22⋊C4—48no—
939C2×C22⋊C4—48no—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032#95C2411yescharacteristic
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2411yescharacteristic
1037#95C2411yescharacteristic
1038#95C2411yescharacteristic
1039#95C2412yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083C24—24no—
1084C24—24no—
1085C24—28no—
1086C24—42no—
1087C24—42no—
1088C24—42no—
1089C24—44no—
1090C24—42no—
1091C24—42no—
1092C24—44no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24C2512yes—
1098C24C2512yes—
1099C24C2514yes—
1100C24C2512yes—
1101C24C2512yes—
1102C24C2512yes—
1103#41—832no—
1104#41—816no—
1105C2×Q8—22no—
1106C2×Q8—24no—
1107C2×Q8—24no—
1108C2×Q8—24no—
1109C2×Q8—24no—
1110C2×Q8—22no—
1111C2×Q8—41no—
1112C2×Q8—42no—
1113C2×Q8—44no—
1114C2×Q8—44no—
1115C2×Q8—44no—
1116C2×Q8—44no—
1117C2×Q8—44no—
1118C2×Q8—42no—
1119C2×Q8—41no—
1120C2×Q8—42no—
1121C2×Q8—44no—
1122C2×Q8—42no—
1123C2×Q8—42no—
1124C2×Q8—42no—
1125C2×Q8—816no—
1126C2×D4—28no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—24no—
1136C2×D4—28no—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—24no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—28no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—41no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—42no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—44no—
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—44no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—816no—
1198C2×D4—832no—
1199C2×D4—816no—
1200C2×D4H(5,𝔽2)14yes—
1201C22×C4—28no—
1202C22×C4—28no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—28no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—816no—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—24no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—41no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—41no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—41no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4H(5,𝔽2)18yes—
1301C4⋊C4H(5,𝔽2)14yes—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
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—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C42—28no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—22no—
1381C42—24no—
1382C42—22no—
1383C42—28no—
1384C42—24no—
1385C42—24no—
1386C42—22no—
1387C42—41no—
1388C42—44no—
1389C42—42no—
1390C42—44no—
1391C42—44no—
1392C42—42no—
1393C42—42no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—24no—
1409C23—22no—
1410C23—24no—
1411C23—24no—
1412C23—24no—
1413C23—24no—
1414C23—22no—
1415C23—22no—
1416C23—24no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—24no—
1422C23—24no—
1423C23—24no—
1424C23—22no—
1425C23—24no—
1426C23—22no—
1427C23—24no—
1428C23—22no—
1429C23—22no—
1430C23—48no—
1431C23—48no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—88no—
1436C23—88no—
1437C23—88no—
1438C23—84no—
1439C23—84no—
1440C23—88no—
1441C23—88no—
1442C23—164no—
1443C23—164no—
1444C23C2×H(5,𝔽2)14yes—
1445C23#58514yes—
1446C23C2611yescharacteristic
1447Q8—44no—
1448Q8—48no—
1449Q8—82no—
1450Q8—84no—
1451Q8—88no—
1452Q8—88no—
1453Q8—162no—
1454D4—44no—
1455D4—416no—
1456D4—416no—
1457D4—44no—
1458D4—48no—
1459D4—44no—
1460D4—44no—
1461D4—48no—
1462D4—84no—
1463D4—88no—
1464D4—84no—
1465D4—88no—
1466D4—84no—
1467D4—88no—
1468D4—88no—
1469D4—88no—
1470D4—82no—
1471D4—88no—
1472D4—88no—
1473D4—88no—
1474D4—84no—
1475D4—88no—
1476D4—164no—
1477D4—162no—
1478D4—164no—
1479D4—162no—
1480C2×C4—21no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—416no—
1539C2×C4—416no—
1540C2×C4—48no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—88no—
1544C2×C4—84no—
1545C2×C4—84no—
1546C2×C4—88no—
1547C2×C4—84no—
1548C2×C4—84no—
1549C2×C4—84no—
1550C2×C4—88no—
1551C2×C4—88no—
1552C2×C4C2×H(5,𝔽2)12yes—
1553C2×C4C2×H(5,𝔽2)14yes—
1554C2×C4C2×H(5,𝔽2)18yes—
1555C2×C4C2×H(5,𝔽2)14yes—
1556C2×C4C2×H(5,𝔽2)12yes—
1557C22—24no—
1558C22—24no—
1559C22—24no—
1560C22—24no—
1561C22—24no—
1562C22—24no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—44no—
1572C22—44no—
1573C22—44no—
1574C22—42no—
1575C22—44no—
1576C22—42no—
1577C22—42no—
1578C22—44no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—44no—
1584C22—42no—
1585C22—42no—
1586C22—44no—
1587C22—42no—
1588C22—42no—
1589C22—44no—
1590C22—42no—
1591C22—44no—
1592C22—42no—
1593C22—44no—
1594C22—44no—
1595C22—816no—
1596C22—1616no—
1597C22C22×H(5,𝔽2)11yescharacteristic
1598C22C22×H(5,𝔽2)12yes—
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22C2×#58512yes—
1601C222−1+611yescharacteristic
1602C4—28no—
1603C4—24no—
1604C4—22no—
1605C4—44no—
1606C4—44no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—44no—
1614C4—42no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—44no—
1619C4—41no—
1620C4—41no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4#354914yes—
1625C2—44no—
1626C2—44no—
1627C2—82no—
1628C2—82no—
1629C2—84no—
1630C2—82no—
1631C2C2×#354911yescharacteristic
1632C2#6289511yescharacteristic
1633C2#6289712yes—
1634C2#6301212yes—
1635C2#6301711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59841C2semidirect
2. #59544C2semidirect
3. #59005C2semidirect
4. #59004C2semidirect
5. #58996C2semidirect
6. #57408C2semidirect
7. #56606C2semidirect
8. #55615C2semidirect
9. #54486C2semidirect
10. #53080C2semidirect
11. #52990C2semidirect
12. #52301C2semidirect
13. #47794C2semidirect
14. #46618C2semidirect
15. #45384C2semidirect
16. #45088C2semidirect
17. #45009C2semidirect
18. #44887C2semidirect
19. #42890C2semidirect
20. #42484C2semidirect
21. #42264C2semidirect
22. #40912C2semidirect
23. #39953C2semidirect
24. #39886C2semidirect
25. #39339C2semidirect
26. #39171C2semidirect
27. #38905C2semidirect
28. #36051C2semidirect
29. #35912C2semidirect
30. C2×#559C22semidirect
31. C2×#559C22semidirect
32. C2×#555C22semidirect
33. C2×#555C22semidirect
34. C2×D4×Q8C22semidirect
35. C2×#548C22semidirect
36. C2×#547C22semidirect
39. C2×#535C22semidirect
40. C2×#525C22semidirect
41. C22×C22⋊Q8C22semidirect
42. C22×#121C22semidirect
43. #2858C22semidirect
44. #2847C22semidirect
45. #2840C22semidirect
46. #2832C22semidirect
47. #2832C22semidirect
48. #2828C22semidirect
49. #2824C22semidirect
50. #2824C22semidirect
51. #2819C22semidirect
52. #2819C22semidirect
53. #2813C22semidirect
54. #2809C22semidirect
55. #2808C22semidirect
56. #2804C22semidirect
57. #2804C22semidirect
58. #2804C22semidirect
59. #2795C22semidirect
61. #2782C22semidirect
62. #2782C22semidirect
63. #2782C22semidirect
64. #2782C22semidirect
65. #2775C22semidirect
66. #2769C22semidirect
67. #2744C22semidirect
68. #2737C22semidirect
69. #2737C22semidirect
70. #2736C22semidirect
71. #2731C22semidirect
72. #2712C22semidirect
73. #2712C22semidirect
74. #2710C22semidirect
75. #2710C22semidirect
76. #2706C22semidirect
77. #2703C22semidirect
78. #2699C22semidirect
80. #2696C22semidirect
81. #2696C22semidirect
82. #2696C22semidirect
83. #2696C22semidirect
84. #2696C22semidirect
85. #2692C22semidirect
86. #2692C22semidirect
87. #2686C22semidirect
89. #2684C22semidirect
90. #2684C22semidirect
91. #2684C22semidirect
92. #2684C22semidirect
93. #2681C22semidirect
94. #2681C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2676C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2674C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2671C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2669C22semidirect
112. #2663C22semidirect
113. #2661C22semidirect
114. #2661C22semidirect
115. #2657C22semidirect
116. #2640C22semidirect
117. #2640C22semidirect
118. #2640C22semidirect
119. #2635C22semidirect
120. #2631C22semidirect
121. #2631C22semidirect
122. #2631C22semidirect
123. #2623C22semidirect
125. #2613C22semidirect
126. #2610C22semidirect
128. #2609C22semidirect
129. #2598C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2574C22semidirect
134. #2572C22semidirect
135. #2568C22semidirect
136. #2567C22semidirect
137. #2564C22semidirect
138. #2563C22semidirect
139. #2557C22semidirect
140. #2557C22semidirect
141. #2557C22semidirect
142. #2548C22semidirect
143. #2546C22semidirect
144. #2544C22semidirect
145. #2544C22semidirect
146. #2543C22semidirect
148. #2541C22semidirect
152. #2540C22semidirect
153. #2535C22semidirect
154. #2532C22semidirect
155. #2500C22semidirect
156. #2498C22semidirect
157. #2497C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
165. #2476C22semidirect
166. #2474C22semidirect
167. #2474C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2464C22semidirect
171. #2463C22semidirect
172. #2459C22semidirect
173. #2459C22semidirect
174. #2452C22semidirect
175. #2449C22semidirect
176. #2443C22semidirect
177. #2439C22semidirect
178. #2437C22semidirect
179. #2436C22semidirect
180. #2436C22semidirect
181. #2436C22semidirect
182. #2435C22semidirect
183. #2435C22semidirect
184. #2433C22semidirect
185. #2432C22semidirect
186. #2431C22semidirect
187. #2431C22semidirect
188. #2430C22semidirect
189. #2429C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2427C22semidirect
195. #2427C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
198. #2427C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
202. #2424C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2418C22semidirect
207. #2417C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2415C22semidirect
213. #2414C22semidirect
214. #2411C22semidirect
215. #2411C22semidirect
216. #2411C22semidirect
217. #2410C22semidirect
218. #2409C22semidirect
221. #2408C22semidirect
222. #2407C22semidirect
224. #2404C22semidirect
227. #2398C22semidirect
228. #2398C22semidirect
229. #2398C22semidirect
230. #2395C22semidirect
231. #2388C22semidirect
232. #2363C22semidirect
233. #2362C22semidirect
234. #2361C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
237. #2360C22semidirect
238. #2360C22semidirect
239. #2354C22semidirect
240. #2347C22semidirect
241. #2344C22semidirect
242. #2344C22semidirect
244. D4×C22⋊C4C22semidirect
245. #2328C22semidirect
246. #2324C22semidirect
247. #2321C22semidirect
248. #2320C22semidirect
249. #2319C22semidirect
250. #2311C22semidirect
251. C4×#124C22semidirect
252. C4×#124C22semidirect
254. C4×#120C22semidirect
255. C4×#120C22semidirect
256. #2295C22semidirect
257. #2293C22semidirect
258. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#598412
#595442
#590052
#590042
#589962
#574082
#566062
#556152
#544862
#530802
#529902
#523012
#477942
#466182
#453842
#450882
#450092
#448872
#428902
#424842
#422642
#409122
#399532
#398862
#393392
#391712
#389052
#360512
#359122