Finite Group Databasebeta

← #7727023

Subgroups — #7727023

Order 512.

6790 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#50170C212yesmaximal, complemented
4#49551C212yesmaximal, complemented
5#48780C212yesmaximal, complemented
6#47835C212yesmaximal, complemented
7#47455C214yesmaximal, complemented
8#46374C214yesmaximal, complemented
9#45324C212yesmaximal, complemented
10#45243C212yesmaximal, complemented
11#44895C212yesmaximal, complemented
12#44880C212yesmaximal, complemented
13#39884C212yesmaximal, complemented
14#39871C214yesmaximal, complemented
15#39861C212yesmaximal, complemented
16#38361C214yesmaximal, complemented
17#37767C212yesmaximal, complemented
18#37766C212yesmaximal, complemented
19#37699C212yesmaximal, complemented
20#37699C212yesmaximal, complemented
21#37545C211yesmaximal, characteristic, complemented
22#36964C214yesmaximal, complemented
23#36433C212yesmaximal, complemented
24#36217C212yesmaximal, complemented
25#35450C214yesmaximal, complemented
26#35302C211yesmaximal, characteristic, complemented
27#35297C211yesmaximal, characteristic, complemented
28#34875C211yesmaximal, characteristic, complemented
29#34393C211yesmaximal, characteristic, complemented
30#3517—216no—
31C2×#557C2211yescharacteristic, complemented
32C2×#553C2212yes—
33C2×#553C2214yescomplemented
34C2×#550C2212yes—
35C2×#550C2212yes—
36C2×#550C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic, complemented
38C2×#547C2212yes—
39C2×#547C2211yescharacteristic, complemented
40#3455—216no—
41C2×#542C2212yes—
42C2×#542C2212yes—
43C2×#541C2212yes—
44C2×#540C2214yes—
45C2×#540C2212yes—
46C2×#540C2212yescomplemented
47C2×#539C2212yes—
48C2×#539C2212yes—
49C2×#538C2212yes—
50C2×#538C2212yes—
51C2×#533C2211yescharacteristic
52C2×#532C2211yescharacteristic
53C2×#532C2212yescomplemented
54C2×#529C2211yescharacteristic
55C2×#529C2214yes—
56C2×#529C2214yes—
57C2×#529C2212yescomplemented
58C2×#525C2212yes—
59C2×#520C2212yescomplemented
60C2×C4×#41C2211yescharacteristic
61C2×C4×#41C2212yes—
62C22×#117C2211yescharacteristic
63#2857C2212yescomplemented
64#2857C2212yescomplemented
65#2855C2211yescharacteristic
66#2854C2211yescharacteristic
67#2854C2214yescomplemented
68#2853C2214yescomplemented
69#2848C2211yescharacteristic
70#2847C2211yescharacteristic
71#2814C2214yes—
72#2726C2214yescomplemented
73#2725C2214yes—
74#2724C2214yes—
75#2722C2214yescomplemented
76#2721C2214yes—
77#2719C2214yescomplemented
78#2718C2214yes—
79#2715C2214yes—
80#2714C2214yes—
81#2711C2214yescomplemented
82#2709C2214yes—
83#2709C2214yescomplemented
84#2708C2214yes—
85#2708C2214yescomplemented
86#2707C2214yescomplemented
87#2706C2214yes—
88#2705C2214yes—
89#2703C2214yes—
90#2703C2214yes—
91#2701C2214yes—
92#2701C2214yescomplemented
93#2701C2214yescomplemented
94#2699C2214yes—
95#2698C2214yescomplemented
96#2697C2214yes—
97#2695C2214yescomplemented
98#2691C2214yescomplemented
99#2691C2214yescomplemented
100#2682C2214yes—
101#2681C2214yescomplemented
102#2681C2214yescomplemented
103#2680C2214yescomplemented
104#2678C2214yes—
105#2676C2214yes—
106#2676C2214yes—
107#2673C2214yes—
108#2672C2214yes—
109#2671C2214yes—
110#2669C2214yes—
111#2668C2214yes—
112#2660C2211yescharacteristic, complemented
113#2660C2211yescharacteristic, complemented
114#2640C2211yescharacteristic, complemented
115#2640C2211yescharacteristic, complemented
116#2638C2212yes—
117#2638C2212yes—
118#2637C2212yescomplemented
119#2637C2212yescomplemented
120#2635C2214yes—
121#2630C2214yes—
122#2629C2212yes—
123#2625C2212yes—
124#2620C2212yes—
125#2616C2212yes—
126#2609C2212yes—
127#2609C2212yes—
128#2609C2214yes—
129#2602C2214yes—
130#2601C2214yes—
131#2600C2214yes—
132#2599C2212yes—
133#2599C2214yescomplemented
134#2598C2212yes—
135#2584C2212yescomplemented
136#2581C2212yescomplemented
137#2579C2212yes—
138#2579C2214yes—
139#2579C2212yes—
140#2566C2212yescomplemented
141#2565C2212yescomplemented
142#2562C2212yescomplemented
143#2558C2214yescomplemented
144#2554C2214yes—
145#2543C2214yes—
146#2543C2214yes—
147#2538C2212yes—
148#2537C2212yes—
149#2536C2212yes—
150#2536C2212yescomplemented
151#2535C2212yes—
152#2534C2212yes—
153#2534C2212yes—
154#2519C2214yes—
155#2506C2214yescomplemented
156#2500C2212yes—
157#2500C2214yescomplemented
158#2499C2212yes—
159#2498C2214yescomplemented
160#2485C2212yes—
161#2485C2212yes—
162#2485C2214yescomplemented
163#2484C2211yescharacteristic
164#2484C2214yescomplemented
165#2482C2211yescharacteristic
166#2481C2214yes—
167#2478C2214yescomplemented
168#2474C2214yes—
169#2473C2214yescomplemented
170#2469C2214yes—
171#2468C2214yescomplemented
172#2466C2214yescomplemented
173#2466C2214yescomplemented
174#2462C2214yescomplemented
175#2461C2214yes—
176#2459C2214yes—
177#2459C2214yes—
178#2450C2214yescomplemented
179#2450C2214yescomplemented
180#2449C2214yescomplemented
181#2446C2212yescomplemented
182#2446C2212yescomplemented
183#2445C2214yes—
184#2445C2214yes—
185#2445C2212yescomplemented
186#2445C2212yescomplemented
187#2444C2214yes—
188#2444C2214yes—
189#2443C2214yes—
190#2438C2214yescomplemented
191#2430C2214yes—
192#2429C2212yes—
193#2429C2212yes—
194#2428C2212yes—
195#2428C2212yes—
196#2425C2214yes—
197#2425C2214yes—
198#2425C2214yes—
199#2425C2214yescomplemented
200#2425C2214yescomplemented
201#2423C2212yes—
202#2423C2212yescomplemented
203#2422C2214yes—
204#2422C2212yes—
205#2422C2212yescomplemented
206#2421C2212yes—
207#2421C2212yescomplemented
208#2420C2212yes—
209#2420C2214yes—
210#2420C2212yescomplemented
211#2419C2214yes—
212#2419C2214yes—
213#2419C2214yescomplemented
214#2416C2214yes—
215#2415C2214yes—
216#2413C2212yes—
217#2413C2214yes—
218#2411C2212yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2406C2211yescharacteristic
224#2406C2214yescomplemented
225#2404C2211yescharacteristic
226#2396C2212yes—
227#2392C2212yes—
228#2377C2212yes—
229#2377C2212yes—
230#2366C2212yescomplemented
231#2365C2212yescomplemented
232#2357C2212yescomplemented
233#2351C2212yescomplemented
234Q8×C4⋊C4C2212yescomplemented
235#2349C2212yescomplemented
236#2349C2212yescomplemented
237D4×C4⋊C4C2212yescomplemented
238#2341C2212yes—
239#2341C2212yescomplemented
240#2341C2212yescomplemented
241#2339C2212yes—
242#2339C2212yescomplemented
243#2339C2212yescomplemented
244#2326C2212yescomplemented
245#2326C2212yescomplemented
246#2325C2214yes—
247#2324C2214yes—
248#2324C2212yes—
249#2323C2212yes—
250#2323C2214yescomplemented
251#2322C2214yes—
252#2318C2214yescomplemented
253C4×#123C2212yes—
254C4×#123C2214yescomplemented
255C4×#120C2212yes—
256#2290C2212yes—
257#2290C2212yes—
258C2×#387C2214yescomplemented
259#2285C2211yescharacteristic
260#2283C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C22×#41C2312yes—
266C24×C4C2311yescharacteristic
267#557—28no—
268#553—216no—
269#553—232no—
270#550—216no—
271#550—28no—
272#550—28no—
273#550—216no—
274#547—216no—
275#547—28no—
276#542—216no—
277#542—216no—
278#541—216no—
279#540—216no—
280#540—232no—
281#540—216no—
282#539—216no—
283#539—216no—
284#538—216no—
285#538—216no—
286#533—28no—
287#532—216no—
288#532D4116yescomplemented
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2311yescharacteristic
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2311yescharacteristic
293C2×#127C2314yes—
294C2×#127C2312yes—
295C2×#127C2312yes—
296C2×#127C2311yescharacteristic
297#529—216no—
298#529—232no—
299#529—232no—
300#529—28no—
301C2×#126C2312yes—
302C2×#126C2314yes—
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#125C2312yes—
308C2×#125C2311yescharacteristic
309C2×#125C2314yes—
310C2×#125C2314yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#124C2311yescharacteristic
314C2×#124C2314yes—
315C2×#124C2314yes—
316C2×#124C2312yes—
317#525—216no—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×#121C2311yescharacteristic
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#120C2314yes—
367C2×#120C2312yes—
368C2×#120C2312yes—
369#520—216no—
370C4×#41—216no—
371C4×#41—28no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×#117—28no—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2314yes—
418C2×#117C2314yes—
419C2×#117C2312yes—
420C22×C4⋊C4C2314yes—
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2314yes—
425C22×C22⋊C4C2311yescharacteristic
426C22×C22⋊C4C2311yescharacteristic
427C22×C42C2314yes—
428C22×C42C2311yescharacteristic
429C22×C42C2312yes—
430C22×C42C2311yescharacteristic
431#400C2314yes—
432#400C2312yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#399C2312yes—
438#399C2314yes—
439#399C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2314yes—
490#395C2312yes—
491#395C2312yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#393C2312yes—
520#393C2314yes—
521#393C2312yes—
522#393C2312yes—
523#392C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2314yes—
536#391C2312yes—
537#391C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2312yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2314yes—
687#383C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2314yes—
693#382C2311yescharacteristic
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2312yes—
699#381C2311yescharacteristic
700#381C2311yescharacteristic
701#381C2314yes—
702#381C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2312yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#379C2312yes—
722#379C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739#376C2311yescharacteristic
740#376C2311yescharacteristic
741C2×#95C2314yes—
742C2×#95C2314yes—
743C2×#95C2314yes—
744C2×#95C2314yes—
745C25C2411yescharacteristic
746C2×#41—28no—
747C2×#41—28no—
748C2×#41—28no—
749C2×#41—24no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—48no—
753C2×#41—44no—
754C2×#41—44no—
755C2×#41—44no—
756C2×#41—44no—
757C2×#41—44no—
758C2×#41C2×D4116yes—
759C22×Q8C2411yescharacteristic
760C22×Q8C2411yescharacteristic
761C22×Q8C2412yes—
762C22×Q8C2412yes—
763C22×Q8C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2412yes—
782C23×C4—24no—
783C23×C4—44no—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2414yes—
804C4⋊Q8—28no—
805C4⋊Q8—24no—
806C4⋊Q8—24no—
807C4⋊Q8C2×D418yes—
808#127—28no—
809#127—216no—
810#127—28no—
811#127C2×D418yes—
812#126—216no—
813#126—216no—
814#126—216no—
815#126—216no—
816#126—216no—
817#126—28no—
818#125—216no—
819#125—216no—
820#125—216no—
821#125—28no—
822#125—24no—
823#125—28no—
824#124—216no—
825#124—216no—
826#124—24no—
827#124C2×D4116yes—
828#123—216no—
829#123—216no—
830#123—216no—
831#123—216no—
832#123—28no—
833#123—216no—
834#123—216no—
835#123—216no—
836#123—216no—
837#123—216no—
838#123—48no—
839#123—44no—
840#123—48no—
841#123—82no—
842#123—84no—
843#123—84no—
844C22⋊Q8—28no—
845C22⋊Q8—28no—
846C22⋊Q8—28no—
847C22⋊Q8—24no—
848C22⋊Q8—28no—
849C22⋊Q8—28no—
850C22⋊Q8—216no—
851C22⋊Q8—216no—
852C22⋊Q8—48no—
853C22⋊Q8—44no—
854C22⋊Q8—84no—
855#121—28no—
856#121—28no—
857#121—216no—
858#121—216no—
859#121—28no—
860#121—216no—
861#121—216no—
862#121—216no—
863#121—28no—
864#121—216no—
865#121—24no—
866#121—216no—
867#121—28no—
868#121—216no—
869#121—216no—
870#121—48no—
871#121—44no—
872#121—84no—
873#121—84no—
874#121C2×D4116yes—
875#121C2×D4116yes—
876#120—216no—
877#120—44no—
878#120—82no—
879C4×Q8—28no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×D4—216no—
891C4×D4—216no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—216no—
899C4×D4—216no—
900C4×D4—216no—
901C4×D4—28no—
902C4×D4—216no—
903C4×D4—216no—
904C4×D4—216no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—84no—
913C4×D4C2×D4116yes—
914C4×D4C2×D4116yes—
915#117—28no—
916#117—216no—
917#117—24no—
918#117—216no—
919#117—28no—
920#117—28no—
921#117—28no—
922#117—28no—
923#117—28no—
924#117—28no—
925#117—82no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—216no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—48no—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C22⋊C4—24no—
987C2×C22⋊C4—24no—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C42—24no—
1049C2×C42—216no—
1050C2×C42—28no—
1051C2×C42C2×D418yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122C24—22no—
1123C24—42no—
1124C24—42no—
1125C24—41no—
1126C24—41no—
1127C24C2512yes—
1128C24C2512yes—
1129C24C2512yes—
1130C24C2511yescharacteristic
1131C24C2514yes—
1132#41—432no—
1133#41—416no—
1134#41—432no—
1135#41—816no—
1136#41—816no—
1137C2×Q8—22no—
1138C2×Q8—22no—
1139C2×Q8—24no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—44no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8C22×D418yes—
1149C2×D4—24no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—24no—
1155C2×D4—28no—
1156C2×D4—28no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—28no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—28no—
1164C2×D4—24no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4C22×D418yes—
1197C2×D4C22×D4116yes—
1198C2×D4C22×D418yes—
1199C2×D4C22×D418yes—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—28no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—28no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—41no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—41no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—416no—
1252C22×C4C22×D414yes—
1253C22×C4C22×D4116yes—
1254C22×C4C22×D414yes—
1255C22×C4C22×D414yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—22no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4C22×D418yes—
1334C4⋊C4C22×D418yes—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4C22×D4116yes—
1394C22⋊C4C22×D4116yes—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—28no—
1399C42—24no—
1400C42—24no—
1401C42—28no—
1402C42—28no—
1403C42—28no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C42C22×D414yes—
1411C42C22×D414yes—
1412C42C22×D414yes—
1413C42C22×D414yes—
1414C23—22no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—24no—
1419C23—22no—
1420C23—21no—
1421C23—24no—
1422C23—21no—
1423C23—24no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—24no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—24no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—44no—
1444C23—82no—
1445C23—82no—
1446C23—84no—
1447C23—84no—
1448C23C23×D412yes—
1449C23C23×D418yes—
1450C23C2611yescharacteristic
1451Q8—28no—
1452Q8—216no—
1453Q8—44no—
1454Q8—84no—
1455Q8—84no—
1456D4—216no—
1457D4—48no—
1458D4—416no—
1459D4—48no—
1460D4—416no—
1461D4—48no—
1462D4—44no—
1463D4—44no—
1464D4—88no—
1465D4—88no—
1466D4—88no—
1467D4—88no—
1468D4—84no—
1469D4—88no—
1470D4—88no—
1471D4—84no—
1472D4—84no—
1473D4—164no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—28no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—44no—
1533C2×C4—416no—
1534C2×C4—44no—
1535C2×C4—48no—
1536C2×C4—416no—
1537C2×C4—48no—
1538C2×C4—48no—
1539C2×C4—44no—
1540C2×C4—48no—
1541C2×C4—48no—
1542C2×C4—84no—
1543C2×C4—88no—
1544C2×C4—82no—
1545C2×C4—88no—
1546C2×C4—82no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4—164no—
1551C2×C4C23×D412yes—
1552C2×C4C23×D418yes—
1553C2×C4C23×D412yes—
1554C2×C4C23×D412yes—
1555C2×C4C23×D412yes—
1556C2×C4C23×D412yes—
1557C2×C4C23×D412yes—
1558C2×C4#58514yes—
1559C2×C4#58514yes—
1560C22—22no—
1561C22—28no—
1562C22—28no—
1563C22—22no—
1564C22—22no—
1565C22—28no—
1566C22—44no—
1567C22—44no—
1568C22—42no—
1569C22—44no—
1570C22—44no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—44no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—44no—
1590C22—42no—
1591C22—88no—
1592C22C24×D411yescharacteristic
1593C22C2×#58512yes—
1594C22C2×#58512yes—
1595C22H(7,𝔽2)11yescharacteristic
1596C222−1+611yescharacteristic
1597C4—22no—
1598C4—28no—
1599C4—22no—
1600C4—22no—
1601C4—24no—
1602C4—22no—
1603C4—22no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—44no—
1610C4—42no—
1611C4—42no—
1612C4—44no—
1613C4—42no—
1614C4—44no—
1615C4—42no—
1616C4—44no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4#348514yes—
1621C2—48no—
1622C2—42no—
1623C2—82no—
1624C2—82no—
1625C2—82no—
1626C2C2×#348511yescharacteristic
1627C2#6281111yescharacteristic
1628C2#6285311yescharacteristic
1629C2#6293712yes—
1630C2#6296712yes—
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. C2×#3517C2semidirect
2. C2×#3455C2semidirect
3. #50170C2semidirect
4. #49551C2semidirect
5. #48780C2semidirect
6. #47835C2semidirect
7. #47455C2semidirect
8. #46374C2semidirect
9. #45324C2semidirect
10. #45243C2semidirect
11. #44895C2semidirect
12. #44880C2semidirect
13. #39884C2semidirect
14. #39871C2semidirect
15. #39861C2semidirect
16. #38361C2semidirect
17. #37767C2semidirect
18. #37766C2semidirect
19. #37699C2semidirect
20. #37699C2semidirect
21. #37545C2semidirect
22. #36964C2semidirect
23. #36433C2semidirect
24. #36217C2semidirect
25. #35450C2semidirect
26. #35302C2semidirect
27. #35297C2semidirect
28. #34875C2semidirect
29. #34393C2semidirect
31. C2×#557C22semidirect
33. C2×#553C22semidirect
36. C2×#550C22semidirect
37. C2×#550C22semidirect
39. C2×#547C22semidirect
46. C2×#540C22semidirect
53. C2×#532C22semidirect
57. C2×#529C22semidirect
59. C2×#520C22semidirect
63. #2857C22semidirect
64. #2857C22semidirect
67. #2854C22semidirect
68. #2853C22semidirect
72. #2726C22semidirect
75. #2722C22semidirect
77. #2719C22semidirect
81. #2711C22semidirect
83. #2709C22semidirect
85. #2708C22semidirect
86. #2707C22semidirect
92. #2701C22semidirect
93. #2701C22semidirect
95. #2698C22semidirect
97. #2695C22semidirect
98. #2691C22semidirect
99. #2691C22semidirect
101. #2681C22semidirect
102. #2681C22semidirect
103. #2680C22semidirect
112. #2660C22semidirect
113. #2660C22semidirect
114. #2640C22semidirect
115. #2640C22semidirect
118. #2637C22semidirect
119. #2637C22semidirect
133. #2599C22semidirect
135. #2584C22semidirect
136. #2581C22semidirect
140. #2566C22semidirect
141. #2565C22semidirect
142. #2562C22semidirect
143. #2558C22semidirect
150. #2536C22semidirect
155. #2506C22semidirect
157. #2500C22semidirect
159. #2498C22semidirect
162. #2485C22semidirect
164. #2484C22semidirect
167. #2478C22semidirect
169. #2473C22semidirect
171. #2468C22semidirect
172. #2466C22semidirect
173. #2466C22semidirect
174. #2462C22semidirect
178. #2450C22semidirect
179. #2450C22semidirect
180. #2449C22semidirect
181. #2446C22semidirect
182. #2446C22semidirect
185. #2445C22semidirect
186. #2445C22semidirect
190. #2438C22semidirect
199. #2425C22semidirect
200. #2425C22semidirect
202. #2423C22semidirect
205. #2422C22semidirect
207. #2421C22semidirect
210. #2420C22semidirect
213. #2419C22semidirect
224. #2406C22semidirect
230. #2366C22semidirect
231. #2365C22semidirect
232. #2357C22semidirect
233. #2351C22semidirect
234. Q8×C4⋊C4C22semidirect
235. #2349C22semidirect
236. #2349C22semidirect
237. D4×C4⋊C4C22semidirect
239. #2341C22semidirect
240. #2341C22semidirect
242. #2339C22semidirect
243. #2339C22semidirect
244. #2326C22semidirect
245. #2326C22semidirect
250. #2323C22semidirect
252. #2318C22semidirect
254. C4×#123C22semidirect
258. C2×#387C22semidirect
288. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#34552
#501702
#495512
#487802
#478352
#474552
#463742
#453242
#452432
#448952
#448802
#398842
#398712
#398612
#383612
#377672
#377662
#376992
#375452
#369642
#364332
#362172
#354502
#353022
#352972
#348752
#343932