Finite Group Databasebeta

← #7683681

Subgroups — #7683681

Order 512.

5622 conjugacy classes of subgroups.

The subgroup lattice has 1653 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59977C214yesmaximal, complemented
2#59952C211yesmaximal, characteristic, complemented
3#59925C211yesmaximal, characteristic, complemented
4#59841C211yesmaximal, characteristic, complemented
5#59834C212yesmaximal, complemented
6#59822C211yesmaximal, characteristic, complemented
7#59750C212yesmaximal, complemented
8#59743C212yesmaximal, complemented
9#59696C214yesmaximal, complemented
10#59680C212yesmaximal, complemented
11#59182C212yesmaximal, complemented
12#59056C212yesmaximal, complemented
13#45036C212yesmaximal, complemented
14#45036C212yesmaximal, complemented
15#44925C212yesmaximal, complemented
16#44909C212yesmaximal, complemented
17#44326C212yesmaximal, complemented
18#44305C212yesmaximal, complemented
19#44200C214yesmaximal, complemented
20#43481C212yesmaximal, complemented
21#43444C214yesmaximal, complemented
22#43400C212yesmaximal, complemented
23#35571C212yesmaximal, complemented
24#35571C212yesmaximal, complemented
25#35567C212yesmaximal, complemented
26#34977C211yesmaximal, characteristic, complemented
27#34937C211yesmaximal, characteristic, complemented
28#34910C211yesmaximal, characteristic, complemented
29#34305C212yesmaximal, complemented
30#34301C212yesmaximal, complemented
31#34280C212yesmaximal, complemented
32C2×#555C2212yes—
33C2×#555C2212yes—
34C2×#553C2212yes—
35C2×#553C2212yes—
36C2×#540C2212yes—
37C2×#540C2212yes—
38C2×#532C2212yes—
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43#2808C2214yes—
44#2803C2214yes—
45#2803C2214yes—
46#2792C2212yes—
47#2785C2212yes—
48#2784C2214yes—
49#2783C2214yes—
50#2781C2214yes—
51#2756C2214yes—
52#2756C2214yes—
53#2734C2212yes—
54#2733C2212yes—
55#2733C2212yes—
56#2733C2212yes—
57#2733C2214yes—
58#2731C2212yes—
59#2714C2214yes—
60#2714C2214yes—
61#2714C2214yes—
62#2714C2214yes—
63#2699C2212yes—
64#2686C2214yes—
65#2682C2214yes—
66#2682C2214yes—
67#2673C2214yes—
68#2673C2214yes—
69#2673C2214yes—
70#2673C2214yes—
71#2610C2214yes—
72#2610C2214yes—
73#2610C2212yes—
74#2610C2212yes—
75#2609C2212yes—
76#2609C2214yes—
77#2602C2212yes—
78#2602C2214yes—
79#2602C2212yes—
80#2602C2214yes—
81#2601C2212yes—
82#2601C2212yes—
83#2586C2212yes—
84#2586C2214yes—
85#2584C2212yes—
86#2567C2211yescharacteristic
87#2566C2211yescharacteristic
88#2565C2211yescharacteristic
89#2563C2211yescharacteristic
90#2562C2212yes—
91#2559C2214yes—
92#2558C2214yes—
93#2557C2214yes—
94#2557C2214yes—
95#2555C2214yes—
96#2555C2212yes—
97#2555C2214yes—
98#2555C2214yes—
99#2555C2214yes—
100#2554C2214yes—
101#2554C2214yes—
102#2554C2214yes—
103#2550C2212yes—
104#2550C2212yes—
105#2548C2211yescharacteristic
106#2548C2212yes—
107#2548C2211yescharacteristic
108#2547C2211yescharacteristic
109#2546C2211yescharacteristic
110#2545C2211yescharacteristic
111#2545C2212yes—
112#2544C2211yescharacteristic
113#2544C2212yes—
114#2543C2212yes—
115#2543C2212yes—
116#2543C2214yes—
117#2543C2214yes—
118#2541C2214yes—
119#2541C2212yes—
120#2541C2212yes—
121#2541C2214yes—
122#2541C2211yescharacteristic
123#2541C2211yescharacteristic
124#2541C2214yes—
125#2541C2212yes—
126#2541C2212yes—
127#2541C2212yes—
128#2537C2212yes—
129#2535C2212yes—
130#2535C2212yes—
131#2532C2214yes—
132#2518C2214yes—
133#2513C2214yes—
134#2512C2214yes—
135#2507C2214yes—
136#2500C2214yes—
137#2500C2211yescharacteristic
138#2500C2212yes—
139#2499C2211yescharacteristic
140#2491C2212yes—
141#2491C2212yes—
142#2490C2212yes—
143#2490C2212yes—
144#2476C2214yes—
145#2476C2214yes—
146#2476C2214yes—
147#2474C2214yes—
148#2474C2214yes—
149#2464C2214yes—
150#2464C2214yes—
151#2464C2214yes—
152#2461C2214yes—
153#2459C2214yes—
154#2459C2214yes—
155#2456C2214yes—
156#2456C2214yes—
157#2456C2214yes—
158#2456C2214yes—
159#2445C2214yes—
160#2445C2214yes—
161#2432C2211yescharacteristic
162#2431C2214yes—
163#2431C2212yes—
164#2431C2214yes—
165#2431C2211yescharacteristic
166#2430C2214yes—
167#2430C2214yes—
168#2428C2214yes—
169#2428C2214yes—
170#2428C2214yes—
171#2428C2212yes—
172#2428C2212yes—
173#2428C2212yes—
174#2428C2214yes—
175#2428C2214yes—
176#2428C2212yes—
177#2416C2212yes—
178#2416C2212yes—
179#2416C2212yes—
180#2416C2212yes—
181#2414C2214yes—
182#2414C2212yes—
183#2414C2212yes—
184#2414C2214yes—
185#2414C2214yes—
186#2414C2214yes—
187#2414C2212yes—
188#2414C2212yes—
189#2392C2212yes—
190#2392C2212yes—
191#2392C2212yes—
192#2392C2212yes—
193#2388C2212yes—
194#2388C2212yes—
195#2374C2214yes—
196#2374C2214yes—
197#2373C2214yes—
198#2373C2214yes—
199#2372C2212yes—
200#2370C2212yes—
201#2370C2212yes—
202#2369C2212yes—
203#2366C2214yes—
204#2364C2214yes—
205#2364C2214yes—
206#2364C2214yes—
207#2363C2214yes—
208#2363C2214yes—
209#2363C2212yes—
210#2363C2212yes—
211#2363C2214yes—
212#2363C2214yes—
213#2361C2212yes—
214#2361C2212yes—
215#2359C2214yes—
216#2359C2214yes—
217#2359C2214yes—
218#2359C2214yes—
219#2354C2212yes—
220#2354C2212yes—
221#2354C2212yes—
222#2353C2214yes—
223#2349C2214yes—
224D4×C4⋊C4C2212yes—
225#2347C2212yes—
226#2346C2212yes—
227#2345C2212yes—
228#2344C2212yes—
229#2335C2214yes—
230#2335C2214yes—
231#2334C2214yes—
232#2333C2214yes—
233#2330C2212yes—
234#2328C2212yes—
235#2324C2212yes—
236#2324C2212yes—
237#2324C2212yes—
238#2324C2212yes—
239#2314C2212yes—
240C4×C4⋊Q8C2211yescharacteristic
241C4×#127C2211yescharacteristic
242C4×#127C2212yes—
243C4×#127C2212yes—
244C4×#125C2212yes—
245C4×#126C2214yes—
246C4×#124C2211yescharacteristic
247C4×#124C2211yescharacteristic
248C4×#124C2212yes—
249C4×#121C2214yes—
250C4×#121C2212yes—
251C4×#121C2212yes—
252C4×#121C2212yes—
253C4×#121C2212yes—
254#2297C2212yes—
255#2293C2214yes—
256#2293C2212yes—
257#2293C2212yes—
258#2290C2214yes—
259#2290C2212yes—
260#2290C2212yes—
261#2275C2212yes—
262#2275C2212yes—
263#2274C2212yes—
264C4×#117C2211yescharacteristic
265C4×#117C2211yescharacteristic
266C2×C4×C4⋊C4C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270#555—48no—
271#555—48no—
272#553—216no—
273#553—216no—
274#540—216no—
275#540—48no—
276#532—44no—
277#532—44no—
278#532—48no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2311yescharacteristic
286C2×#127C2314yes—
287C2×#127C2312yes—
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#127C2312yes—
291C2×#127C2314yes—
292C2×#127C2314yes—
293#529—44no—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#126C2312yes—
297C2×#125C2312yes—
298C2×#125C2311yescharacteristic
299C2×#125C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2311yescharacteristic
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2311yescharacteristic
306C2×#124C2312yes—
307C2×#124C2314yes—
308C2×#124C2311yescharacteristic
309C2×#124C2314yes—
310C2×#124C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C4×#41—44no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2314yes—
391C2×#117C2314yes—
392C2×#117C2314yes—
393C2×#117C2311yescharacteristic
394C2×#117C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401#400C2314yes—
402#398C2312yes—
403#398C2312yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#397C2312yes—
410#397C2312yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#396C2312yes—
418#396C2312yes—
419#396C2312yes—
420#396C2312yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#395C2312yes—
426#395C2312yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#394C2314yes—
431#394C2312yes—
432#394C2312yes—
433#394C2312yes—
434#394C2312yes—
435#394C2312yes—
436#394C2312yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2312yes—
442#394C2314yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2312yes—
460#393C2312yes—
461#393C2314yes—
462#393C2314yes—
463#392C2312yes—
464#392C2312yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2312yes—
469#392C2312yes—
470#392C2314yes—
471#392C2314yes—
472#392C2312yes—
473#392C2312yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2314yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#390C2312yes—
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2314yes—
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2312yes—
666#384C2311yescharacteristic
667#383C2314yes—
668#382C2312yes—
669#382C2312yes—
670#382C2311yescharacteristic
671#382C2311yescharacteristic
672#382C2314yes—
673#381C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2311yescharacteristic
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2311yescharacteristic
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2311yescharacteristic
735C4×C22⋊C4C2314yes—
736#376C2312yes—
737#376C2314yes—
738#376C2312yes—
739C2×#95C2312yes—
740C2×#95C2314yes—
741C2×#95C2314yes—
742C43C2312yes—
743C43C2311yescharacteristic
744C43C2311yescharacteristic
745C2×#41—24no—
746C2×#41—42no—
747C2×#41—44no—
748C2×#41—44no—
749C2×#41—42no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—84no—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2412yes—
756C22×Q8C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2411yescharacteristic
762C22×D4C2411yescharacteristic
763C22×D4C2411yescharacteristic
764C22×D4C2414yes—
765C22×D4C2411yescharacteristic
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2414yes—
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2411yescharacteristic
802C4⋊Q8—28no—
803C4⋊Q8—24no—
804C4⋊Q8—42no—
805C4⋊Q8—42no—
806#127—28no—
807#127—42no—
808#127—42no—
809#127—44no—
810#127—44no—
811#127—44no—
812#127—48no—
813#127—42no—
814#127—84no—
815#127—84no—
816#126—216no—
817#126—216no—
818#126—44no—
819#125—42no—
820#125—44no—
821#125#41116yescomplemented
822#124—28no—
823#124—24no—
824#124—28no—
825#124—42no—
826#124—44no—
827#124—44no—
828#124—44no—
829#124—42no—
830#124—48no—
831#124—48no—
832#124—84no—
833#123—216no—
834#123—216no—
835#123—216no—
836#123—216no—
837#123—44no—
838#123—48no—
839#123—48no—
840C22⋊Q8—42no—
841#121—216no—
842#121—216no—
843#121—28no—
844#121—28no—
845#121—216no—
846#121—216no—
847#121—28no—
848#121—28no—
849#121—28no—
850#121—28no—
851#121—42no—
852#121—44no—
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—84no—
868#121—84no—
869#121—84no—
870#121—84no—
871#121—84no—
872C4×Q8—42no—
873C4×Q8—42no—
874C4×Q8—42no—
875C4×D4—28no—
876C4×D4—28no—
877C4×D4—216no—
878C4×D4—216no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—48no—
886C4×D4—48no—
887C4×D4—42no—
888C4×D4—42no—
889C4×D4—42no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4—42no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—48no—
898C4×D4—48no—
899C4×D4—84no—
900C4×D4—84no—
901C4×D4—84no—
902C4×D4—84no—
903C4×D4—84no—
904#117—28no—
905#117—28no—
906#117—28no—
907#117—28no—
908#117—42no—
909#117—42no—
910#117—42no—
911#117—48no—
912#117—48no—
913#117—48no—
914#117—48no—
915#117—84no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C42—24no—
1028C2×C42—24no—
1029C2×C42—24no—
1030C2×C42—44no—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108C24C2511yescharacteristic
1109C24C2514yes—
1110C24C2514yes—
1111C24C2512yes—
1112C24C2511yescharacteristic
1113C24C2511yescharacteristic
1114#41—416no—
1115#41—816no—
1116#41—816no—
1117C2×Q8—22no—
1118C2×Q8—24no—
1119C2×Q8—41no—
1120C2×Q8—41no—
1121C2×Q8—41no—
1122C2×Q8—42no—
1123C2×Q8—42no—
1124C2×Q8—41no—
1125C2×Q8—44no—
1126C2×Q8—42no—
1127C2×Q8H(5,𝔽2)14yes—
1128C2×D4—28no—
1129C2×D4—22no—
1130C2×D4—24no—
1131C2×D4—22no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—28no—
1140C2×D4—24no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—41no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—41no—
1165C2×D4—42no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—41no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—28no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2514yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2514yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—41no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—41no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4C2×#4118yes—
1321C4⋊C4C2×#4118yes—
1322C4⋊C4C2×#41116yes—
1323C4⋊C4C2×#41116yes—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—44no—
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—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C42—24no—
1390C42—28no—
1391C42—28no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C42—42no—
1411C42—44no—
1412C42—42no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—41no—
1417C42—41no—
1418C42—44no—
1419C42—42no—
1420C42C2×#4118yes—
1421C42H(5,𝔽2)14yes—
1422C23—22no—
1423C23—21no—
1424C23—21no—
1425C23—22no—
1426C23—24no—
1427C23—24no—
1428C23—22no—
1429C23—22no—
1430C23—24no—
1431C23—24no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—24no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—24no—
1446C23—24no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—22no—
1454C23—24no—
1455C23—22no—
1456C23—22no—
1457C23#58512yes—
1458C23C2611yescharacteristic
1459Q8—44no—
1460Q8—82no—
1461Q8—84no—
1462Q8—84no—
1463D4—416no—
1464D4—48no—
1465D4—44no—
1466D4—44no—
1467D4—44no—
1468D4—48no—
1469D4—48no—
1470D4—88no—
1471D4—88no—
1472D4—88no—
1473D4—88no—
1474D4—88no—
1475D4—88no—
1476D4—88no—
1477D4—84no—
1478D4—84no—
1479D4—82no—
1480D4—84no—
1481D4—88no—
1482D4—84no—
1483D4—84no—
1484D4—84no—
1485D4—88no—
1486D4—164no—
1487D4—164no—
1488D4—164no—
1489D4—164no—
1490C2×C4—28no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—48no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—88no—
1555C2×C4—88no—
1556C2×C4—88no—
1557C2×C4—88no—
1558C2×C4—88no—
1559C2×C4—88no—
1560C2×C4—82no—
1561C2×C4—82no—
1562C2×C4—88no—
1563C2×C4—88no—
1564C2×C4C22×#4118yes—
1565C2×C4C22×#4114yes—
1566C2×C4C22×#4114yes—
1567C2×C4C22×#4118yes—
1568C2×C4C22×#4114yes—
1569C2×C4C2×H(5,𝔽2)12yes—
1570C2×C4C2×H(5,𝔽2)12yes—
1571C2×C4C2×H(5,𝔽2)12yes—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C22—24no—
1576C22—22no—
1577C22—42no—
1578C22—41no—
1579C22—41no—
1580C22—42no—
1581C22—44no—
1582C22—44no—
1583C22—44no—
1584C22—42no—
1585C22—42no—
1586C22—44no—
1587C22—42no—
1588C22—44no—
1589C22—44no—
1590C22—42no—
1591C22—42no—
1592C22—44no—
1593C22—42no—
1594C22—42no—
1595C22—44no—
1596C22—41no—
1597C22—41no—
1598C22—44no—
1599C22—42no—
1600C22—44no—
1601C22—41no—
1602C22—44no—
1603C22—41no—
1604C22—42no—
1605C22—44no—
1606C22—41no—
1607C22—42no—
1608C22—41no—
1609C22—44no—
1610C22—44no—
1611C22C23×#4112yes—
1612C22C22×H(5,𝔽2)11yescharacteristic
1613C22C22×H(5,𝔽2)11yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22H(7,𝔽2)12yes—
1616C4—24no—
1617C4—28no—
1618C4—28no—
1619C4—24no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—22no—
1625C4—42no—
1626C4—44no—
1627C4—44no—
1628C4—42no—
1629C4—44no—
1630C4—42no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—44no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—41no—
1639C4—41no—
1640C4#348314yes—
1641C2—42no—
1642C2—82no—
1643C2—84no—
1644C2—84no—
1645C2—81no—
1646C2—81no—
1647C2C2×#348311yescharacteristic
1648C2#6281811yescharacteristic
1649C2#6287411yescharacteristic
1650C2#6298612yes—
1651C2#6300812yes—
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. #59977C2semidirect
2. #59952C2semidirect
3. #59925C2semidirect
4. #59841C2semidirect
5. #59834C2semidirect
6. #59822C2semidirect
7. #59750C2semidirect
8. #59743C2semidirect
9. #59696C2semidirect
10. #59680C2semidirect
11. #59182C2semidirect
12. #59056C2semidirect
13. #45036C2semidirect
14. #45036C2semidirect
15. #44925C2semidirect
16. #44909C2semidirect
17. #44326C2semidirect
18. #44305C2semidirect
19. #44200C2semidirect
20. #43481C2semidirect
21. #43444C2semidirect
22. #43400C2semidirect
23. #35571C2semidirect
24. #35571C2semidirect
25. #35567C2semidirect
26. #34977C2semidirect
27. #34937C2semidirect
28. #34910C2semidirect
29. #34305C2semidirect
30. #34301C2semidirect
31. #34280C2semidirect
821. #125#41semidirect

Maximal subgroups

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

subgroupindex
#599772
#599522
#599252
#598412
#598342
#598222
#597502
#597432
#596962
#596802
#591822
#590562
#450362
#449252
#449092
#443262
#443052
#442002
#434812
#434442
#434002
#355712
#355672
#349772
#349372
#349102
#343052
#343012
#342802