Finite Group Databasebeta

← #8157400

Subgroups — #8157400

Order 512.

5318 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59046C212yesmaximal, complemented
2#59031C212yesmaximal, complemented
3#58028C214yesmaximal, complemented
4#57279C214yesmaximal, complemented
5#56495C214yesmaximal, complemented
6#54303C214yesmaximal, complemented
7#53126C212yesmaximal, complemented
8#52970C212yesmaximal, complemented
9#52375C214yesmaximal, complemented
10#44987C212yesmaximal, complemented
11#44952C212yesmaximal, complemented
12#42954C212yesmaximal, complemented
13#42595C212yesmaximal, complemented
14#42574C212yesmaximal, complemented
15#42429C212yesmaximal, complemented
16#40842C214yesmaximal, complemented
17#39512C211yesmaximal, characteristic, complemented
18#39359C211yesmaximal, characteristic, complemented
19#38082C212yesmaximal, complemented
20#37890C212yesmaximal, complemented
21#37745C212yesmaximal, complemented
22#37704C212yesmaximal, complemented
23#37442C212yesmaximal, complemented
24#36707C212yesmaximal, complemented
25#36153C211yesmaximal, characteristic, complemented
26#36101C211yesmaximal, characteristic, complemented
27#35103C211yesmaximal, characteristic, complemented
28C2×#2452C211yesmaximal, characteristic, complemented
29#34584C211yesmaximal, characteristic, complemented
30C2×#550C2211yescharacteristic
31C2×#547C2211yescharacteristic
32C2×#547C2212yes—
33C2×#546C2212yes—
34C2×#542C2212yescomplemented
35C2×#537C2212yes—
36C22×C4⋊Q8C2211yescharacteristic
37C2×#529C2212yes—
38C2×#525C2212yes—
39C22×C22⋊Q8C2212yes—
40C22×C4×D4C2211yescharacteristic
41#2857C2211yescharacteristic
42#2856C2211yescharacteristic
43#2850C2212yes—
44#2847C2212yes—
45#2847C2212yes—
46#2841C2214yescomplemented
47#2838C2214yescomplemented
48#2832C2214yescomplemented
49#2830C2214yescomplemented
50#2829C2214yescomplemented
51#2827C2214yescomplemented
52#2826C2214yescomplemented
53#2825C2214yescomplemented
54#2824C2214yescomplemented
55#2814C2214yescomplemented
56#2814C2214yescomplemented
57#2813C2214yescomplemented
58#2810C2212yescomplemented
59#2805C2212yescomplemented
60#2804C2214yescomplemented
61#2786C2214yescomplemented
62#2784C2214yescomplemented
63#2784C2214yescomplemented
64#2780C2214yescomplemented
65#2776C2214yescomplemented
66#2760C2214yescomplemented
67#2759C2214yescomplemented
68#2757C2214yescomplemented
69#2751C2214yescomplemented
70#2750C2214yescomplemented
71#2749C2214yescomplemented
72#2748C2214yescomplemented
73#2747C2214yescomplemented
74#2731C2214yescomplemented
75#2729C2214yescomplemented
76#2716C2214yescomplemented
77#2714C2214yes—
78#2705C2214yes—
79#2705C2214yescomplemented
80#2703C2214yes—
81#2703C2214yes—
82#2696C2214yes—
83#2696C2214yes—
84#2696C2214yescomplemented
85#2695C2214yescomplemented
86#2693C2214yescomplemented
87#2692C2214yescomplemented
88#2692C2214yescomplemented
89#2692C2214yescomplemented
90#2692C2214yescomplemented
91#2692C2214yescomplemented
92#2691C2214yescomplemented
93#2691C2214yescomplemented
94#2689C2214yescomplemented
95#2688C2214yescomplemented
96#2687C2214yescomplemented
97#2686C2214yescomplemented
98#2683C2212yescomplemented
99#2682C2212yescomplemented
100#2681C2214yescomplemented
101#2676C2214yescomplemented
102#2676C2214yescomplemented
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2674C2214yescomplemented
107#2671C2214yescomplemented
108#2665C2214yescomplemented
109#2659C2214yescomplemented
110#2655C2212yescomplemented
111#2654C2212yescomplemented
112#2653C2214yescomplemented
113#2651C2212yescomplemented
114#2650C2212yescomplemented
115#2646C2211yescharacteristic
116#2643C2212yes—
117#2640C2212yes—
118#2640C2212yescomplemented
119#2639C2211yescharacteristic
120#2639C2214yescomplemented
121#2639C2214yescomplemented
122#2631C2214yescomplemented
123#2628C2212yescomplemented
124#2627C2211yescharacteristic
125#2627C2212yes—
126#2625C2214yescomplemented
127#2623C2212yes—
128#2619C2212yes—
129#2618C2212yes—
130#2618C2211yescharacteristic
131#2618C2212yes—
132#2618C2212yes—
133#2616C2214yescomplemented
134#2601C2214yescomplemented
135#2601C2214yescomplemented
136#2581C2212yescomplemented
137#2579C2214yescomplemented
138#2570C2212yescomplemented
139#2569C2214yescomplemented
140#2566C2212yescomplemented
141#2565C2212yescomplemented
142#2563C2212yes—
143#2557C2214yescomplemented
144#2550C2212yescomplemented
145#2548C2212yes—
146#2547C2211yescharacteristic
147#2545C2212yescomplemented
148#2544C2212yes—
149#2544C2212yescomplemented
150#2541C2211yescharacteristic
151#2539C2214yes—
152#2538C2211yescharacteristic
153#2537C2211yescharacteristic
154#2514C2212yescomplemented
155#2504C2212yes—
156#2503C2212yes—
157#2493C2214yes—
158#2492C2212yescomplemented
159#2491C2212yescomplemented
160#2490C2212yes—
161#2486C2212yes—
162#2486C2214yes—
163#2481C2214yes—
164#2481C2214yescomplemented
165#2477C2214yescomplemented
166#2471C2214yes—
167#2470C2214yescomplemented
168#2464C2214yescomplemented
169#2456C2214yes—
170#2454C2212yes—
171#2452C2214yes—
172#2452C2212yes—
173#2452C2212yes—
174#2452C2212yes—
175#2452C2212yes—
176#2452C2214yes—
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2451C2212yescomplemented
180#2451C2212yescomplemented
181#2450C2214yescomplemented
182#2450C2214yescomplemented
183#2448C2212yes—
184#2447C2212yescomplemented
185#2446C2212yescomplemented
186#2445C2212yes—
187#2444C2214yescomplemented
188#2443C2214yes—
189#2442C2212yescomplemented
190#2440C2212yescomplemented
191#2438C2214yescomplemented
192#2436C2214yes—
193#2433C2212yes—
194#2431C2212yes—
195#2431C2212yes—
196#2430C2214yes—
197#2430C2214yescomplemented
198#2428C2212yes—
199#2428C2212yescomplemented
200#2427C2212yes—
201#2427C2212yescomplemented
202#2425C2214yes—
203#2424C2214yes—
204#2424C2214yes—
205#2420C2212yescomplemented
206#2419C2214yes—
207#2417C2212yes—
208#2417C2214yescomplemented
209#2417C2214yescomplemented
210#2416C2212yes—
211#2416C2212yes—
212#2416C2212yescomplemented
213#2414C2212yes—
214#2414C2214yes—
215#2412C2214yes—
216#2412C2214yes—
217#2412C2214yes—
218#2412C2214yes—
219#2409C2214yes—
220#2407C2212yes—
221#2406C2214yes—
222#2404C2214yes—
223#2404C2214yes—
224#2402C2212yescomplemented
225#2401C2212yescomplemented
226#2396C2212yescomplemented
227#2395C2212yescomplemented
228C2×#396C2212yes—
229C2×#393C2212yes—
230#2366C2212yes—
231#2366C2212yes—
232#2361C2212yes—
233#2360C2212yes—
234#2360C2212yescomplemented
235#2358C2214yes—
236#2354C2211yescharacteristic
237#2349C2212yescomplemented
238D4×C4⋊C4C2211yescharacteristic
239#2341C2212yes—
240#2339C2212yes—
241#2339C2214yes—
242#2331C2212yescomplemented
243#2328C2212yes—
244#2325C2212yes—
245#2325C2212yes—
246#2313C2212yes—
247#2311C2212yes—
248C4×C22⋊Q8C2211yescharacteristic
249C4×#123C2212yes—
250C4×#121C2211yescharacteristic
251C2×#390C2211yescharacteristic
252C2×#390C2211yescharacteristic
253C2×#389C2211yescharacteristic
254C2×#389C2211yescharacteristic
255#2290C2212yes—
256C2×#385C2212yes—
257C2×#380C2212yes—
258C2×C4×C4⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2314yes—
261C22×#41C2312yes—
262C23×Q8C2312yes—
263C23×D4C2311yescharacteristic
264C24×C4C2312yes—
265#550—44no—
266#547—48no—
267#547—44no—
268#546—48no—
269#542—48no—
270#537—48no—
271C2×C4⋊Q8—44no—
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2312yes—
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2314yes—
277C2×#127C2312yes—
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280#529—48no—
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#125C2312yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289#525—48no—
290C2×#123C2314yes—
291C2×#123C2312yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×C22⋊Q8—48no—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×#121C2312yes—
313C2×#121C2311yescharacteristic
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×D4—44no—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2314yes—
353C2×#117C2312yes—
354C2×#117C2314yes—
355C2×#117C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C22⋊C4C2314yes—
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2312yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2312yes—
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376#401C2314yes—
377#401C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#399C2312yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2314yes—
412#398C2312yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2312yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#395C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2312yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2311yescharacteristic
524#391C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#383C2314yes—
664#382C2312yes—
665#382C2312yes—
666#382C2312yes—
667#381C2314yes—
668#381C2314yes—
669#381C2314yes—
670#381C2314yes—
671#381C2312yes—
672#381C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2311yescharacteristic
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2312yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2311yescharacteristic
692#380C2314yes—
693#380C2314yes—
694#380C2312yes—
695#380C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716#376C2312yes—
717C2×#95C2314yes—
718C2×#95C2311yescharacteristic
719C2×#95C2311yescharacteristic
720C2×#95C2312yes—
721C2×#95C2314yes—
722C2×#95C2312yes—
723C25C2412yes—
724C2×#41—28no—
725C2×#41—44no—
726C2×#41—48no—
727C2×#41—48no—
728C2×#41—48no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—82no—
733C22×Q8—44no—
734C22×Q8—44no—
735C22×Q8—82no—
736C22×Q8C2412yes—
737C22×Q8C2411yescharacteristic
738C22×Q8C2414yes—
739C22×Q8C2414yes—
740C22×Q8C2414yes—
741C22×D4—24no—
742C22×D4—24no—
743C22×D4—42no—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2411yescharacteristic
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2411yescharacteristic
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2411yescharacteristic
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C23×C4—28no—
762C23×C4—44no—
763C23×C4—82no—
764C23×C4C2411yescharacteristic
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2411yescharacteristic
785C4⋊Q8—28no—
786C4⋊Q8—44no—
787C4⋊Q8—44no—
788C4⋊Q8—42no—
789C4⋊Q8—48no—
790#127—28no—
791#127—42no—
792#127—44no—
793#126—48no—
794#126—48no—
795#125—44no—
796#124—44no—
797#124—44no—
798#124—44no—
799#124—48no—
800#124—84no—
801#123—48no—
802#123—48no—
803#123—48no—
804#123—48no—
805#123—44no—
806#123—48no—
807#123—48no—
808#123—48no—
809C22⋊Q8—24no—
810C22⋊Q8—28no—
811C22⋊Q8—28no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—48no—
816C22⋊Q8—48no—
817C22⋊Q8—48no—
818C22⋊Q8—48no—
819C22⋊Q8—44no—
820C22⋊Q8—48no—
821C22⋊Q8—84no—
822#121—28no—
823#121—28no—
824#121—24no—
825#121—44no—
826#121—48no—
827#121—44no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—44no—
832#121—44no—
833#121—44no—
834#121—44no—
835#121—44no—
836#121—48no—
837#121—84no—
838#121—82no—
839#121—82no—
840#120—48no—
841#120—48no—
842#120—48no—
843C4×Q8—42no—
844C4×Q8—44no—
845C4×Q8—44no—
846C4×D4—28no—
847C4×D4—24no—
848C4×D4—24no—
849C4×D4—28no—
850C4×D4—42no—
851C4×D4—42no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—42no—
856C4×D4—44no—
857C4×D4—44no—
858C4×D4—48no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—84no—
862#117—44no—
863#117—48no—
864#117—44no—
865C2×C4⋊C4—24no—
866C2×C4⋊C4—28no—
867C2×C4⋊C4—24no—
868C2×C4⋊C4—24no—
869C2×C4⋊C4—42no—
870C2×C4⋊C4—44no—
871C2×C4⋊C4—44no—
872C2×C4⋊C4—44no—
873C2×C4⋊C4—42no—
874C2×C4⋊C4—44no—
875C2×C4⋊C4—82no—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C22⋊C4—44no—
932C2×C22⋊C4—48no—
933C2×C22⋊C4—44no—
934C2×C22⋊C4—44no—
935C2×C22⋊C4—44no—
936C2×C22⋊C4—82no—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C42—24no—
995C2×C42—42no—
996C2×C42—42no—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070C24—24no—
1071C24—24no—
1072C24—24no—
1073C24—24no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24C2512yes—
1078C24C2512yes—
1079C24C2514yes—
1080C24C2512yes—
1081C24C2511yescharacteristic
1082#41—816no—
1083#41—832no—
1084#41—816no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—22no—
1088C2×Q8—28no—
1089C2×Q8—24no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×Q8—44no—
1093C2×Q8—44no—
1094C2×Q8—44no—
1095C2×Q8—44no—
1096C2×Q8—44no—
1097C2×Q8—44no—
1098C2×Q8—44no—
1099C2×Q8—44no—
1100C2×Q8—816no—
1101C2×D4—24no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—28no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—22no—
1122C2×D4—416no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—41no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—41no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D42−1+414yes—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—22no—
1162C22×C4—24no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—24no—
1166C22×C4—28no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—28no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—41no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—44no—
1190C22×C4—41no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—816no—
1215C22×C4H(5,𝔽2)14yes—
1216C22×C4H(5,𝔽2)14yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2514yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—41no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—41no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—41no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4H(5,𝔽2)14yes—
1296C22⋊C4—24no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—28no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—24no—
1359C42—24no—
1360C42—24no—
1361C42—41no—
1362C42—41no—
1363C42—42no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—24no—
1380C23—24no—
1381C23—22no—
1382C23—24no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—24no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—24no—
1393C23—22no—
1394C23—24no—
1395C23—22no—
1396C23—22no—
1397C23—24no—
1398C23—22no—
1399C23—48no—
1400C23—48no—
1401C23—48no—
1402C23—48no—
1403C23—84no—
1404C23—84no—
1405C23—84no—
1406C23C2×H(5,𝔽2)12yes—
1407C23C2×H(5,𝔽2)12yes—
1408C23C2×2−1+414yes—
1409C23#58512yes—
1410C23C2611yescharacteristic
1411Q8—44no—
1412Q8—48no—
1413Q8—88no—
1414Q8—88no—
1415Q8—88no—
1416D4—28no—
1417D4—48no—
1418D4—416no—
1419D4—48no—
1420D4—48no—
1421D4—44no—
1422D4—82no—
1423D4—84no—
1424D4—88no—
1425D4—88no—
1426D4—88no—
1427D4—88no—
1428D4—88no—
1429D4—164no—
1430D4—164no—
1431D4—162no—
1432D4—164no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—28no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—44no—
1500C2×C4—48no—
1501C2×C4—48no—
1502C2×C4—48no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—48no—
1507C2×C4—48no—
1508C2×C4—84no—
1509C2×C4—84no—
1510C2×C4—88no—
1511C2×C4—82no—
1512C2×C4—82no—
1513C2×C4—84no—
1514C2×C4—88no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4—164no—
1519C2×C4C2×H(5,𝔽2)12yes—
1520C2×C4C2×H(5,𝔽2)14yes—
1521C2×C4C2×H(5,𝔽2)12yes—
1522C2×C4C2×H(5,𝔽2)12yes—
1523C2×C4C2×H(5,𝔽2)12yes—
1524C2×C4C2×H(5,𝔽2)12yes—
1525C2×C4C2×2−1+412yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—24no—
1533C22—24no—
1534C22—24no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—44no—
1542C22—42no—
1543C22—44no—
1544C22—42no—
1545C22—44no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—44no—
1550C22—42no—
1551C22—44no—
1552C22—42no—
1553C22—42no—
1554C22—44no—
1555C22—42no—
1556C22—42no—
1557C22—44no—
1558C22—42no—
1559C22—42no—
1560C22—816no—
1561C22#354614yes—
1562C22C22×H(5,𝔽2)11yescharacteristic
1563C22C22×H(5,𝔽2)11yescharacteristic
1564C22C22×H(5,𝔽2)11yescharacteristic
1565C22C22×2−1+411yescharacteristic
1566C22C2×#58511yescharacteristic
1567C22H(7,𝔽2)11yescharacteristic
1568C222−1+611yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—24no—
1573C4—42no—
1574C4—44no—
1575C4—42no—
1576C4—44no—
1577C4—42no—
1578C4—44no—
1579C4—42no—
1580C4—44no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—44no—
1586C4—42no—
1587C4—41no—
1588C4—41no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4#353614yes—
1593C2—24no—
1594C2—44no—
1595C2—82no—
1596C2—84no—
1597C2—82no—
1598C2C2×#353611yescharacteristic
1599C2C2×#354611yescharacteristic
1600C2#6287811yescharacteristic
1601C2#6289211yescharacteristic
1602C2#6291911yescharacteristic
1603C2#6294211yescharacteristic
1604C2#6294811yescharacteristic
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. #59046C2semidirect
2. #59031C2semidirect
3. #58028C2semidirect
4. #57279C2semidirect
5. #56495C2semidirect
6. #54303C2semidirect
7. #53126C2semidirect
8. #52970C2semidirect
9. #52375C2semidirect
10. #44987C2semidirect
11. #44952C2semidirect
12. #42954C2semidirect
13. #42595C2semidirect
14. #42574C2semidirect
15. #42429C2semidirect
16. #40842C2semidirect
17. #39512C2semidirect
18. #39359C2semidirect
19. #38082C2semidirect
20. #37890C2semidirect
21. #37745C2semidirect
22. #37704C2semidirect
23. #37442C2semidirect
24. #36707C2semidirect
25. #36153C2semidirect
26. #36101C2semidirect
27. #35103C2semidirect
28. C2×#2452C2semidirect
29. #34584C2semidirect
34. C2×#542C22semidirect
46. #2841C22semidirect
47. #2838C22semidirect
48. #2832C22semidirect
49. #2830C22semidirect
50. #2829C22semidirect
51. #2827C22semidirect
52. #2826C22semidirect
53. #2825C22semidirect
54. #2824C22semidirect
55. #2814C22semidirect
56. #2814C22semidirect
57. #2813C22semidirect
58. #2810C22semidirect
59. #2805C22semidirect
60. #2804C22semidirect
61. #2786C22semidirect
62. #2784C22semidirect
63. #2784C22semidirect
64. #2780C22semidirect
65. #2776C22semidirect
66. #2760C22semidirect
67. #2759C22semidirect
68. #2757C22semidirect
69. #2751C22semidirect
70. #2750C22semidirect
71. #2749C22semidirect
72. #2748C22semidirect
73. #2747C22semidirect
74. #2731C22semidirect
75. #2729C22semidirect
76. #2716C22semidirect
79. #2705C22semidirect
84. #2696C22semidirect
85. #2695C22semidirect
86. #2693C22semidirect
87. #2692C22semidirect
88. #2692C22semidirect
89. #2692C22semidirect
90. #2692C22semidirect
91. #2692C22semidirect
92. #2691C22semidirect
93. #2691C22semidirect
94. #2689C22semidirect
95. #2688C22semidirect
96. #2687C22semidirect
97. #2686C22semidirect
98. #2683C22semidirect
99. #2682C22semidirect
100. #2681C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
106. #2674C22semidirect
107. #2671C22semidirect
108. #2665C22semidirect
109. #2659C22semidirect
110. #2655C22semidirect
111. #2654C22semidirect
112. #2653C22semidirect
113. #2651C22semidirect
114. #2650C22semidirect
118. #2640C22semidirect
120. #2639C22semidirect
121. #2639C22semidirect
122. #2631C22semidirect
123. #2628C22semidirect
126. #2625C22semidirect
133. #2616C22semidirect
134. #2601C22semidirect
135. #2601C22semidirect
136. #2581C22semidirect
137. #2579C22semidirect
138. #2570C22semidirect
139. #2569C22semidirect
140. #2566C22semidirect
141. #2565C22semidirect
143. #2557C22semidirect
144. #2550C22semidirect
147. #2545C22semidirect
149. #2544C22semidirect
154. #2514C22semidirect
158. #2492C22semidirect
159. #2491C22semidirect
164. #2481C22semidirect
165. #2477C22semidirect
167. #2470C22semidirect
168. #2464C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2451C22semidirect
180. #2451C22semidirect
181. #2450C22semidirect
182. #2450C22semidirect
184. #2447C22semidirect
185. #2446C22semidirect
187. #2444C22semidirect
189. #2442C22semidirect
190. #2440C22semidirect
191. #2438C22semidirect
197. #2430C22semidirect
199. #2428C22semidirect
201. #2427C22semidirect
205. #2420C22semidirect
208. #2417C22semidirect
209. #2417C22semidirect
212. #2416C22semidirect
224. #2402C22semidirect
225. #2401C22semidirect
226. #2396C22semidirect
227. #2395C22semidirect
234. #2360C22semidirect
237. #2349C22semidirect
242. #2331C22semidirect

Maximal subgroups

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

subgroupindex
#590462
#590312
#580282
#572792
#564952
#543032
#531262
#529702
#523752
#449872
#449522
#429542
#425952
#425742
#424292
#408422
#395122
#393592
#380822
#378902
#377452
#377042
#374422
#367072
#361532
#361012
#351032
C2×#24522
#345842