Finite Group Databasebeta

← #8701461

Subgroups — #8701461

Order 512.

5415 conjugacy classes of subgroups.

The subgroup lattice has 1617 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59952C212yesmaximal, complemented
2#59894C212yesmaximal, complemented
3#59767C212yesmaximal, complemented
4#59750C212yesmaximal, complemented
5#58959C212yesmaximal, complemented
6#58583C214yesmaximal, complemented
7#57950C214yesmaximal, complemented
8#53905C212yesmaximal, complemented
9#52307C211yesmaximal, characteristic, complemented
10#51938C214yesmaximal, complemented
11#50485C214yesmaximal, complemented
12#49247C214yesmaximal, complemented
13#46073C211yesmaximal, characteristic, complemented
14#46054C212yesmaximal, complemented
15#45244C211yesmaximal, characteristic, complemented
16#45093C212yesmaximal, complemented
17#44870C211yesmaximal, characteristic, complemented
18#44868C212yesmaximal, complemented
19#42987C211yesmaximal, characteristic, complemented
20#42962C212yesmaximal, complemented
21#42911C211yesmaximal, characteristic, complemented
22#42643C212yesmaximal, complemented
23#39954C212yesmaximal, complemented
24#39953C212yesmaximal, complemented
25#38957C212yesmaximal, complemented
26#37334C214yesmaximal, complemented
27#37150C212yesmaximal, complemented
28#36597C211yesmaximal, characteristic, complemented
29#36268C212yesmaximal, complemented
30C2×#559C2211yescharacteristic, complemented
31C2×#556C2212yescomplemented
32C2×#556C2211yescharacteristic, complemented
33C2×#552C2212yescomplemented
34C2×#548C2212yescomplemented
35C2×#546C2212yescomplemented
36C2×D42C2212yes—
37C2×#537C2212yescomplemented
38C2×#536C2211yescharacteristic, complemented
39C2×#535C2212yes—
40C2×#535C2211yescharacteristic
41#2861C2212yescomplemented
42#2860C2214yescomplemented
43#2858C2212yes—
44#2858C2212yescomplemented
45#2858C2211yescharacteristic, complemented
46#2832C2212yescomplemented
47#2828C2214yescomplemented
48#2821C2212yescomplemented
49#2820C2214yescomplemented
50#2818C2212yescomplemented
51#2813C2214yescomplemented
52#2811C2211yescharacteristic, complemented
53#2808C2214yescomplemented
54#2803C2214yescomplemented
55#2803C2214yescomplemented
56#2785C2211yescharacteristic, complemented
57#2785C2212yescomplemented
58#2785C2211yescharacteristic, complemented
59#2785C2212yescomplemented
60#2785C2212yescomplemented
61#2781C2214yescomplemented
62#2775C2214yescomplemented
63#2756C2214yescomplemented
64#2753C2214yescomplemented
65#2753C2214yescomplemented
66#2736C2214yescomplemented
67#2733C2212yes—
68#2733C2214yescomplemented
69#2733C2212yescomplemented
70#2733C2211yescharacteristic, complemented
71#2733C2212yescomplemented
72#2733C2212yescomplemented
73#2723C2214yescomplemented
74#2723C2214yescomplemented
75#2720C2214yescomplemented
76#2718C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2712C2214yescomplemented
80#2711C2214yescomplemented
81#2710C2214yescomplemented
82#2710C2214yescomplemented
83#2706C2214yescomplemented
84#2692C2214yescomplemented
85#2685C2214yescomplemented
86#2685C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2685C2214yescomplemented
91#2685C2214yescomplemented
92#2684C2214yescomplemented
93#2684C2212yescomplemented
94#2683C2212yescomplemented
95#2679C2212yes—
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2676C2214yescomplemented
102#2676C2214yescomplemented
103#2675C2212yescomplemented
104#2674C2214yescomplemented
105#2673C2214yescomplemented
106#2672C2214yescomplemented
107#2670C2212yes—
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2670C2214yescomplemented
112#2670C2214yescomplemented
113#2669C2214yes—
114#2669C2214yescomplemented
115#2668C2214yescomplemented
116#2662C2212yes—
117#2662C2214yescomplemented
118#2662C2212yescomplemented
119#2661C2214yescomplemented
120#2661C2214yescomplemented
121#2641C2214yescomplemented
122#2632C2212yescomplemented
123#2632C2212yescomplemented
124#2624C2214yescomplemented
125#2620C2214yescomplemented
126#2619C2214yescomplemented
127#2616C2211yescharacteristic, complemented
128#2616C2211yescharacteristic, complemented
129#2610C2214yescomplemented
130#2610C2214yescomplemented
131#2610C2214yescomplemented
132#2603C2214yescomplemented
133#2601C2214yescomplemented
134#2601C2214yescomplemented
135#2593C2214yescomplemented
136#2592C2212yescomplemented
137#2592C2212yescomplemented
138#2584C2212yescomplemented
139#2567C2212yescomplemented
140#2556C2214yescomplemented
141#2555C2212yes—
142#2555C2212yescomplemented
143#2555C2214yescomplemented
144#2554C2214yescomplemented
145#2554C2214yescomplemented
146#2554C2214yescomplemented
147#2548C2212yes—
148#2548C2212yescomplemented
149#2546C2211yescharacteristic, complemented
150#2545C2212yescomplemented
151#2544C2212yescomplemented
152#2542C2212yescomplemented
153#2541C2211yescharacteristic
154#2540C2212yes—
155#2540C2212yescomplemented
156#2540C2212yescomplemented
157#2531C2214yescomplemented
158#2531C2214yescomplemented
159#2529C2214yescomplemented
160#2519C2214yescomplemented
161#2518C2214yescomplemented
162#2518C2214yescomplemented
163#2513C2214yescomplemented
164#2500C2214yescomplemented
165#2500C2214yescomplemented
166#2492C2212yescomplemented
167#2491C2214yescomplemented
168#2491C2214yescomplemented
169#2491C2212yescomplemented
170#2490C2212yescomplemented
171#2490C2212yescomplemented
172#2490C2212yescomplemented
173#2489C2212yescomplemented
174#2476C2214yescomplemented
175#2476C2214yescomplemented
176#2474C2214yescomplemented
177#2472C2214yescomplemented
178#2472C2214yescomplemented
179#2463C2212yescomplemented
180#2461C2214yescomplemented
181#2445C2214yescomplemented
182#2439C2214yescomplemented
183#2436C2212yescomplemented
184#2435C2211yescharacteristic
185#2435C2212yes—
186#2435C2212yescomplemented
187#2435C2212yescomplemented
188#2435C2214yescomplemented
189#2434C2211yescharacteristic, complemented
190#2433C2212yes—
191#2433C2214yes—
192#2432C2212yescomplemented
193#2431C2212yes—
194#2431C2212yescomplemented
195#2429C2212yescomplemented
196#2429C2212yescomplemented
197#2428C2212yes—
198#2428C2212yes—
199#2428C2214yescomplemented
200#2428C2214yescomplemented
201#2427C2212yescomplemented
202#2427C2212yescomplemented
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yescomplemented
206#2426C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2418C2214yescomplemented
210#2416C2212yes—
211#2416C2212yescomplemented
212#2415C2212yescomplemented
213#2415C2212yescomplemented
214#2414C2212yes—
215#2414C2214yescomplemented
216#2414C2212yescomplemented
217#2414C2214yescomplemented
218#2411C2214yescomplemented
219#2410C2214yescomplemented
220#2409C2211yescharacteristic, complemented
221#2408C2211yescharacteristic
222#2408C2212yescomplemented
223#2408C2214yescomplemented
224#2407C2212yescomplemented
225#2403C2212yes—
226#2388C2211yescharacteristic
227#2388C2212yescomplemented
228#2388C2212yescomplemented
229#2388C2211yescharacteristic, complemented
230#2375C2214yescomplemented
231#2375C2212yescomplemented
232#2372C2214yescomplemented
233#2363C2212yes—
234#2363C2212yescomplemented
235#2363C2214yescomplemented
236#2363C2212yescomplemented
237#2362C2212yescomplemented
238#2361C2212yescomplemented
239#2360C2212yescomplemented
240#2347C2211yescharacteristic, complemented
241#2347C2211yescharacteristic, complemented
242#2346C2214yescomplemented
243#2346C2212yescomplemented
244#2345C2212yescomplemented
245#2324C2214yescomplemented
246#2321C2214yescomplemented
247#2309C2214yescomplemented
248C4×#124C2212yescomplemented
249C4×#124C2212yescomplemented
250C4×#124C2212yescomplemented
251C4×#124C2212yescomplemented
252C4×#124C2212yescomplemented
253C4×#124C2211yescharacteristic, complemented
254#2295C2212yescomplemented
255#2293C2212yescomplemented
256#2293C2212yescomplemented
257#2293C2214yescomplemented
258C42×Q8C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C22×#41C2311yescharacteristic
261C22×#41C2312yes—
262C23×Q8C2311yescharacteristic
263C23×D4C2311yescharacteristic
264C23×D4C2312yes—
265C23×D4C2314yes—
266#559—44no—
267#556—44no—
268#556—48no—
269#552—48no—
270#548—48no—
271#546—48no—
272D42—48no—
273#537—48no—
274#536—44no—
275#535—48no—
276#535—44no—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2312yes—
281C2×#127C2312yes—
282C2×#127C2312yes—
283C2×#127C2311yescharacteristic
284C2×#127C2314yes—
285C2×#127C2312yes—
286C2×#126C2312yes—
287C2×#126C2312yes—
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#125C2314yes—
292C2×#125C2312yes—
293C2×#124C2314yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2311yescharacteristic
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2312yes—
309C2×#124C2312yes—
310C2×#124C2312yes—
311C2×#124C2312yes—
312C2×#124C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2312yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×#117C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2314yes—
376C2×#117C2314yes—
377C2×#117C2314yes—
378C2×#117C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381#400C2314yes—
382#400C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#395C2312yes—
413#395C2312yes—
414#395C2312yes—
415#395C2311yescharacteristic
416#395C2312yes—
417#395C2312yes—
418#395C2314yes—
419#395C2312yes—
420#395C2311yescharacteristic
421#395C2312yes—
422#394C2314yes—
423#394C2314yes—
424#394C2312yes—
425#394C2312yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2312yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2311yescharacteristic
449#394C2312yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#394C2311yescharacteristic
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#393C2311yescharacteristic
472#393C2312yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2311yescharacteristic
481#393C2312yes—
482#392C2311yescharacteristic
483#392C2314yes—
484#392C2312yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2312yes—
494#392C2314yes—
495#392C2311yescharacteristic
496#392C2312yes—
497#392C2312yes—
498#392C2312yes—
499#392C2312yes—
500#392C2312yes—
501#392C2312yes—
502#392C2312yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2311yescharacteristic
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
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#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#384C2314yes—
665#383C2312yes—
666#383C2312yes—
667#382C2314yes—
668#382C2312yes—
669#382C2314yes—
670#382C2312yes—
671#382C2312yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#380C2314yes—
675#380C2312yes—
676#380C2314yes—
677#380C2312yes—
678#380C2314yes—
679#380C2311yescharacteristic
680#380C2311yescharacteristic
681#379C2314yes—
682#379C2314yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2311yescharacteristic
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718#376C2314yes—
719#376C2314yes—
720C43C2312yes—
721C43C2312yes—
722C43C2311yescharacteristic
723C25C2414yes—
724C25C2412yes—
725C2×#41—44no—
726C2×#41—42no—
727C2×#41—42no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—44no—
732C22×Q8—42no—
733C22×Q8—44no—
734C22×Q8C2411yescharacteristic
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×Q8C2412yes—
738C22×Q8C2411yescharacteristic
739C22×Q8C2411yescharacteristic
740C22×Q8C2412yes—
741C22×Q8C2411yescharacteristic
742C22×D4—42no—
743C22×D4—44no—
744C22×D4—48no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—44no—
748C22×D4—48no—
749C22×D4—84no—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2411yescharacteristic
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2411yescharacteristic
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2411yescharacteristic
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2412yes—
785C4⋊Q8—44no—
786C4⋊Q8—42no—
787C4⋊Q8—44no—
788C4⋊Q8—82no—
789#127—48no—
790#127—44no—
791#127—44no—
792#127—42no—
793#127—82no—
794#126—48no—
795#126—44no—
796#126—44no—
797#126—48no—
798#126—48no—
799#125—48no—
800#125—44no—
801#124—48no—
802#124—44no—
803#124—44no—
804#124—48no—
805#124—44no—
806#124—44no—
807#124—44no—
808#124—44no—
809#124—42no—
810#124—44no—
811#124—44no—
812#124—44no—
813#124—44no—
814#124—44no—
815#124—44no—
816#124—44no—
817#124—48no—
818#124—44no—
819#124—84no—
820#124—82no—
821#123—48no—
822#123—48no—
823#123—48no—
824#123—48no—
825C22⋊Q8—28no—
826C22⋊Q8—28no—
827C22⋊Q8—48no—
828C22⋊Q8—48no—
829C22⋊Q8—48no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833C22⋊Q8—44no—
834C22⋊Q8—42no—
835C22⋊Q8—42no—
836#121—28no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—48no—
851#121—48no—
852#121—84no—
853#121—84no—
854#120—48no—
855#120—48no—
856#120—44no—
857#120—48no—
858#120—48no—
859#120—48no—
860#120—48no—
861#120—48no—
862#120—48no—
863#120—84no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—42no—
870C4×D4—28no—
871C4×D4—28no—
872C4×D4—48no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—42no—
878C4×D4—44no—
879C4×D4—48no—
880#117—28no—
881#117—24no—
882#117—24no—
883#117—48no—
884#117—48no—
885#117—48no—
886#117—84no—
887C2×C4⋊C4—28no—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C22⋊C4—48no—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2411yescharacteristic
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2411yescharacteristic
1044#95C2412yes—
1045#95C2411yescharacteristic
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2411yescharacteristic
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073C24—44no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—42no—
1078C24—44no—
1079C24—42no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24—42no—
1085C24C2512yes—
1086C24C2511yescharacteristic
1087C24C2514yes—
1088C24C2514yes—
1089C24C2511yescharacteristic
1090C24C2512yes—
1091#41—88no—
1092#41—88no—
1093#41—816no—
1094C2×Q8—22no—
1095C2×Q8—24no—
1096C2×Q8—24no—
1097C2×Q8—24no—
1098C2×Q8—24no—
1099C2×Q8—24no—
1100C2×Q8—22no—
1101C2×Q8—24no—
1102C2×Q8—42no—
1103C2×Q8—41no—
1104C2×Q8—42no—
1105C2×Q8—42no—
1106C2×Q8—44no—
1107C2×Q8—41no—
1108C2×Q8—42no—
1109C2×Q8—42no—
1110C2×Q8—42no—
1111C2×Q8—42no—
1112C2×Q8—41no—
1113C2×Q8—41no—
1114C2×Q8—88no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—24no—
1126C2×D4—22no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—41no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—41no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—88no—
1190C2×D4—816no—
1191C2×D4—832no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—28no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—28no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—42no—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4H(5,𝔽2)18yes—
1277C4⋊C4H(5,𝔽2)14yes—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—28no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C42—28no—
1358C42—24no—
1359C42—24no—
1360C42—28no—
1361C42—28no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—44no—
1371C42—42no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—42no—
1376C42—42no—
1377C42—42no—
1378C42—41no—
1379C42—42no—
1380C23—21no—
1381C23—22no—
1382C23—21no—
1383C23—22no—
1384C23—22no—
1385C23—24no—
1386C23—24no—
1387C23—24no—
1388C23—24no—
1389C23—24no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—24no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—24no—
1404C23—21no—
1405C23—24no—
1406C23—21no—
1407C23—24no—
1408C23—22no—
1409C23—22no—
1410C23—24no—
1411C23—24no—
1412C23—24no—
1413C23—24no—
1414C23—21no—
1415C23—22no—
1416C23—22no—
1417C23—21no—
1418C23—88no—
1419C23—84no—
1420C23—88no—
1421C23—88no—
1422C23—88no—
1423C23—164no—
1424C23—162no—
1425C23—164no—
1426C23—164no—
1427C23—164no—
1428C23—164no—
1429C23—162no—
1430C23C2611yescharacteristic
1431Q8—44no—
1432Q8—48no—
1433Q8—84no—
1434Q8—82no—
1435Q8—84no—
1436Q8—84no—
1437Q8—82no—
1438Q8—82no—
1439D4—48no—
1440D4—48no—
1441D4—48no—
1442D4—88no—
1443D4—88no—
1444D4—82no—
1445D4—84no—
1446D4—88no—
1447D4—88no—
1448D4—88no—
1449D4—84no—
1450D4—84no—
1451D4—84no—
1452D4—88no—
1453D4—84no—
1454D4—84no—
1455D4—84no—
1456D4—82no—
1457D4—82no—
1458D4—88no—
1459D4—162no—
1460D4—164no—
1461D4—164no—
1462D4—164no—
1463D4—164no—
1464D4—164no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
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—416no—
1523C2×C4—48no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—48no—
1527C2×C4—88no—
1528C2×C4—88no—
1529C2×C4—84no—
1530C2×C4—88no—
1531C2×C4C2×H(5,𝔽2)14yes—
1532C2×C4C2×H(5,𝔽2)18yes—
1533C2×C4C2×H(5,𝔽2)12yes—
1534C2×C4C2×H(5,𝔽2)14yes—
1535C2×C4#58512yes—
1536C2×C4#58514yes—
1537C22—41no—
1538C22—42no—
1539C22—42no—
1540C22—41no—
1541C22—44no—
1542C22—44no—
1543C22—44no—
1544C22—42no—
1545C22—44no—
1546C22—41no—
1547C22—42no—
1548C22—41no—
1549C22—42no—
1550C22—44no—
1551C22—42no—
1552C22—44no—
1553C22—44no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—44no—
1558C22—42no—
1559C22—44no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—44no—
1565C22—44no—
1566C22—42no—
1567C22—44no—
1568C22—42no—
1569C22—42no—
1570C22—41no—
1571C22—44no—
1572C22—42no—
1573C22—41no—
1574C22—44no—
1575C22—1616no—
1576C22—168no—
1577C22C22×H(5,𝔽2)11yescharacteristic
1578C22C22×H(5,𝔽2)12yes—
1579C22C2×#58512yes—
1580C22C2×#58511yescharacteristic
1581C22H(7,𝔽2)11yescharacteristic
1582C4—24no—
1583C4—24no—
1584C4—28no—
1585C4—22no—
1586C4—42no—
1587C4—42no—
1588C4—41no—
1589C4—41no—
1590C4—44no—
1591C4—42no—
1592C4—42no—
1593C4—41no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—44no—
1598C4—44no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4#354914yes—
1605C2—81no—
1606C2—82no—
1607C2—84no—
1608C2—82no—
1609C2—81no—
1610C2—84no—
1611C2C2×#354911yescharacteristic
1612C2#6289612yes—
1613C2#6289911yescharacteristic
1614C2#6302411yescharacteristic
1615C2#6303512yes—
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. #59952C2semidirect
2. #59894C2semidirect
3. #59767C2semidirect
4. #59750C2semidirect
5. #58959C2semidirect
6. #58583C2semidirect
7. #57950C2semidirect
8. #53905C2semidirect
9. #52307C2semidirect
10. #51938C2semidirect
11. #50485C2semidirect
12. #49247C2semidirect
13. #46073C2semidirect
14. #46054C2semidirect
15. #45244C2semidirect
16. #45093C2semidirect
17. #44870C2semidirect
18. #44868C2semidirect
19. #42987C2semidirect
20. #42962C2semidirect
21. #42911C2semidirect
22. #42643C2semidirect
23. #39954C2semidirect
24. #39953C2semidirect
25. #38957C2semidirect
26. #37334C2semidirect
27. #37150C2semidirect
28. #36597C2semidirect
29. #36268C2semidirect
30. C2×#559C22semidirect
31. C2×#556C22semidirect
32. C2×#556C22semidirect
33. C2×#552C22semidirect
34. C2×#548C22semidirect
35. C2×#546C22semidirect
37. C2×#537C22semidirect
38. C2×#536C22semidirect
41. #2861C22semidirect
42. #2860C22semidirect
44. #2858C22semidirect
45. #2858C22semidirect
46. #2832C22semidirect
47. #2828C22semidirect
48. #2821C22semidirect
49. #2820C22semidirect
50. #2818C22semidirect
51. #2813C22semidirect
52. #2811C22semidirect
53. #2808C22semidirect
54. #2803C22semidirect
55. #2803C22semidirect
56. #2785C22semidirect
57. #2785C22semidirect
58. #2785C22semidirect
59. #2785C22semidirect
60. #2785C22semidirect
61. #2781C22semidirect
62. #2775C22semidirect
63. #2756C22semidirect
64. #2753C22semidirect
65. #2753C22semidirect
66. #2736C22semidirect
68. #2733C22semidirect
69. #2733C22semidirect
70. #2733C22semidirect
71. #2733C22semidirect
72. #2733C22semidirect
73. #2723C22semidirect
74. #2723C22semidirect
75. #2720C22semidirect
76. #2718C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2712C22semidirect
80. #2711C22semidirect
81. #2710C22semidirect
82. #2710C22semidirect
83. #2706C22semidirect
84. #2692C22semidirect
85. #2685C22semidirect
86. #2685C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
91. #2685C22semidirect
92. #2684C22semidirect
93. #2684C22semidirect
94. #2683C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
103. #2675C22semidirect
104. #2674C22semidirect
105. #2673C22semidirect
106. #2672C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2670C22semidirect
112. #2670C22semidirect
114. #2669C22semidirect
115. #2668C22semidirect
117. #2662C22semidirect
118. #2662C22semidirect
119. #2661C22semidirect
120. #2661C22semidirect
121. #2641C22semidirect
122. #2632C22semidirect
123. #2632C22semidirect
124. #2624C22semidirect
125. #2620C22semidirect
126. #2619C22semidirect
127. #2616C22semidirect
128. #2616C22semidirect
129. #2610C22semidirect
130. #2610C22semidirect
131. #2610C22semidirect
132. #2603C22semidirect
133. #2601C22semidirect
134. #2601C22semidirect
135. #2593C22semidirect
136. #2592C22semidirect
137. #2592C22semidirect
138. #2584C22semidirect
139. #2567C22semidirect
140. #2556C22semidirect
142. #2555C22semidirect
143. #2555C22semidirect
144. #2554C22semidirect
145. #2554C22semidirect
146. #2554C22semidirect
148. #2548C22semidirect
149. #2546C22semidirect
150. #2545C22semidirect
151. #2544C22semidirect
152. #2542C22semidirect
155. #2540C22semidirect
156. #2540C22semidirect
157. #2531C22semidirect
158. #2531C22semidirect
159. #2529C22semidirect
160. #2519C22semidirect
161. #2518C22semidirect
162. #2518C22semidirect
163. #2513C22semidirect
164. #2500C22semidirect
165. #2500C22semidirect
166. #2492C22semidirect
167. #2491C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2490C22semidirect
171. #2490C22semidirect
172. #2490C22semidirect
173. #2489C22semidirect
174. #2476C22semidirect
175. #2476C22semidirect
176. #2474C22semidirect
177. #2472C22semidirect
178. #2472C22semidirect
179. #2463C22semidirect
180. #2461C22semidirect
181. #2445C22semidirect
182. #2439C22semidirect
183. #2436C22semidirect
186. #2435C22semidirect
187. #2435C22semidirect
188. #2435C22semidirect
189. #2434C22semidirect
192. #2432C22semidirect
194. #2431C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2427C22semidirect
202. #2427C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
209. #2418C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2415C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2411C22semidirect
219. #2410C22semidirect
220. #2409C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2407C22semidirect
227. #2388C22semidirect
228. #2388C22semidirect
229. #2388C22semidirect
230. #2375C22semidirect
231. #2375C22semidirect
232. #2372C22semidirect
234. #2363C22semidirect
235. #2363C22semidirect
236. #2363C22semidirect
237. #2362C22semidirect
238. #2361C22semidirect
239. #2360C22semidirect
240. #2347C22semidirect
241. #2347C22semidirect
242. #2346C22semidirect
243. #2346C22semidirect
244. #2345C22semidirect
245. #2324C22semidirect
246. #2321C22semidirect
247. #2309C22semidirect
248. C4×#124C22semidirect
249. C4×#124C22semidirect
250. C4×#124C22semidirect
251. C4×#124C22semidirect
252. C4×#124C22semidirect
253. C4×#124C22semidirect
254. #2295C22semidirect
255. #2293C22semidirect
256. #2293C22semidirect
257. #2293C22semidirect
258. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#599522
#598942
#597672
#597502
#589592
#585832
#579502
#539052
#523072
#519382
#504852
#492472
#460732
#460542
#452442
#450932
#448702
#448682
#429872
#429622
#429112
#426432
#399542
#399532
#389572
#373342
#371502
#365972
#362682