Finite Group Databasebeta

← #7712504

Subgroups — #7712504

Order 512.

6892 conjugacy classes of subgroups.

The subgroup lattice has 1623 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3557C211yesmaximal, characteristic, complemented
2C2×#3444C211yesmaximal, characteristic, complemented
3#59159C214yesmaximal, complemented
4#59157C214yesmaximal, complemented
5#46310C214yesmaximal, complemented
6#46277C214yesmaximal, complemented
7#39131C212yesmaximal, complemented
8#39130C212yesmaximal, complemented
9#39119C212yesmaximal, complemented
10#39118C212yesmaximal, complemented
11#37803C214yesmaximal, complemented
12#37801C214yesmaximal, complemented
13#37743C214yesmaximal, complemented
14#37741C214yesmaximal, complemented
15#37550C212yesmaximal, complemented
16#37375C211yesmaximal, characteristic, complemented
17#37271C212yesmaximal, complemented
18#37270C211yesmaximal, characteristic, complemented
19#36621C212yesmaximal, complemented
20#36505C212yesmaximal, complemented
21#36504C212yesmaximal, complemented
22#36493C212yesmaximal, complemented
23#36492C212yesmaximal, complemented
24#35309C211yesmaximal, characteristic, complemented
25#35259C211yesmaximal, characteristic, complemented
26#35258C212yesmaximal, complemented
27#34375C211yesmaximal, characteristic, complemented
28#3557—216no—
29C2×#563C2214yescomplemented
30C2×#559C2212yescomplemented
31C2×#557C2212yescomplemented
32C2×#556C2212yescomplemented
33C2×#554C2212yescomplemented
34C2×#552C2214yescomplemented
35C2×#542C2214yes—
36C2×#542C2212yes—
37C2×#541C2211yescharacteristic
38C2×#540C2211yescharacteristic
39C2×#539C2214yes—
40#3444—216no—
41C2×#533C2212yes—
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#532C2212yes—
45C2×#529C2212yes—
46C2×#529C2212yes—
47C2×#529C2212yes—
48C2×#529C2212yes—
49C2×#529C2212yes—
50C2×#529C2212yes—
51C2×#529C2212yes—
52C2×#525C2211yescharacteristic
53C2×#525C2211yescharacteristic
54C2×#525C2212yes—
55C2×#525C2212yes—
56C2×C4×#41C2212yes—
57C2×C4×#41C2212yes—
58C2×C4×#41C2211yescharacteristic
59C2×C4×#41C2211yescharacteristic
60C23×C42C2211yescharacteristic
61#2857C2212yescomplemented
62#2857C2211yescharacteristic, complemented
63#2856C2211yescharacteristic, complemented
64#2855C2212yes—
65#2854C2212yes—
66#2853C2214yes—
67#2852C2214yes—
68#2852C2214yes—
69#2851C2212yes—
70#2851C2212yes—
71#2851C2211yescharacteristic, complemented
72#2851C2211yescharacteristic, complemented
73#2850C2212yes—
74#2850C2212yes—
75#2850C2212yescomplemented
76#2849C2214yes—
77#2848C2212yes—
78#2847C2212yes—
79#2821C2214yescomplemented
80#2818C2214yescomplemented
81#2733C2214yescomplemented
82#2732C2214yes—
83#2731C2214yescomplemented
84#2730C2214yes—
85#2730C2214yescomplemented
86#2730C2214yescomplemented
87#2729C2214yes—
88#2728C2214yes—
89#2723C2214yes—
90#2721C2214yescomplemented
91#2720C2214yes—
92#2719C2214yescomplemented
93#2718C2214yes—
94#2714C2214yes—
95#2714C2214yes—
96#2711C2214yes—
97#2711C2214yes—
98#2710C2214yes—
99#2706C2214yes—
100#2703C2214yes—
101#2696C2214yes—
102#2694C2214yescomplemented
103#2692C2214yes—
104#2690C2214yescomplemented
105#2685C2214yes—
106#2678C2214yes—
107#2676C2214yes—
108#2676C2214yes—
109#2673C2214yes—
110#2673C2214yes—
111#2670C2214yes—
112#2669C2214yes—
113#2661C2214yes—
114#2661C2214yes—
115#2635C2214yes—
116#2635C2214yes—
117#2629C2211yescharacteristic, complemented
118#2629C2211yescharacteristic, complemented
119#2628C2212yescomplemented
120#2621C2211yescharacteristic, complemented
121#2620C2212yescomplemented
122#2619C2211yescharacteristic, complemented
123#2616C2212yes—
124#2616C2212yes—
125#2615C2212yes—
126#2615C2212yes—
127#2610C2214yescomplemented
128#2610C2214yescomplemented
129#2563C2212yes—
130#2562C2212yes—
131#2562C2212yes—
132#2562C2212yescomplemented
133#2562C2212yescomplemented
134#2560C2214yescomplemented
135#2558C2214yes—
136#2554C2214yes—
137#2554C2214yescomplemented
138#2547C2212yes—
139#2542C2212yes—
140#2541C2212yes—
141#2540C2212yes—
142#2540C2212yes—
143#2540C2212yescomplemented
144#2540C2212yescomplemented
145#2538C2212yes—
146#2538C2212yes—
147#2537C2212yes—
148#2537C2212yes—
149#2536C2212yes—
150#2536C2212yes—
151#2536C2212yescomplemented
152#2536C2212yescomplemented
153#2535C2212yes—
154#2535C2212yes—
155#2535C2212yescomplemented
156#2535C2212yescomplemented
157#2519C2214yescomplemented
158#2512C2214yescomplemented
159#2481C2214yescomplemented
160#2479C2214yes—
161#2479C2214yescomplemented
162#2479C2214yescomplemented
163#2477C2214yes—
164#2477C2214yescomplemented
165#2475C2214yes—
166#2475C2214yescomplemented
167#2471C2214yes—
168#2471C2214yes—
169#2471C2214yescomplemented
170#2469C2214yescomplemented
171#2469C2214yescomplemented
172#2468C2214yes—
173#2467C2214yes—
174#2467C2214yescomplemented
175#2467C2214yescomplemented
176#2467C2214yescomplemented
177#2466C2214yes—
178#2465C2214yescomplemented
179#2464C2214yes—
180#2463C2214yes—
181#2463C2214yescomplemented
182#2463C2214yescomplemented
183#2462C2214yescomplemented
184#2461C2214yes—
185#2461C2214yes—
186#2460C2214yes—
187#2460C2214yescomplemented
188#2460C2214yescomplemented
189#2459C2214yes—
190#2458C2214yes—
191#2458C2214yescomplemented
192#2457C2214yes—
193#2456C2214yes—
194#2456C2214yes—
195#2456C2214yes—
196#2456C2214yescomplemented
197#2456C2214yescomplemented
198#2455C2214yes—
199#2448C2214yescomplemented
200#2446C2214yescomplemented
201#2445C2214yes—
202#2443C2214yes—
203#2432C2214yes—
204#2431C2214yes—
205#2423C2214yescomplemented
206#2421C2214yescomplemented
207#2407C2214yes—
208#2407C2214yes—
209#2381C2214yescomplemented
210#2371C2214yescomplemented
211#2367C2214yes—
212#2366C2214yes—
213#2363C2214yes—
214#2363C2214yescomplemented
215#2362C2214yescomplemented
216#2361C2214yes—
217#2355C2212yescomplemented
218#2355C2212yescomplemented
219#2355C2212yescomplemented
220#2355C2212yescomplemented
221#2354C2214yescomplemented
222#2352C2214yescomplemented
223#2332C2214yes—
224#2332C2214yes—
225#2324C2212yescomplemented
226#2324C2212yescomplemented
227#2323C2212yescomplemented
228#2323C2212yescomplemented
229#2314C2211yescharacteristic
230#2314C2212yes—
231#2314C2211yescharacteristic
232C4×C22⋊Q8C2212yes—
233C4×C22⋊Q8C2212yes—
234C4×C22⋊Q8C2212yescomplemented
235C4×C22⋊Q8C2212yescomplemented
236C4×#123C2214yes—
237C4×#121C2212yes—
238C4×#121C2212yes—
239C4×#121C2212yescomplemented
240C4×#121C2212yescomplemented
241C4×#120C2214yes—
242#2290C2214yes—
243#2290C2214yes—
244#2283C2212yes—
245C22×#41C2311yescharacteristic
246C22×#41C2311yescharacteristic
247C22×#41C2312yes—
248C22×#41C2312yes—
249C24×C4C2311yescharacteristic
250C24×C4C2312yes—
251#563—232no—
252#559—216no—
253#557—216no—
254#556—216no—
255#554—216no—
256#552—232no—
257#542—232no—
258#542—216no—
259#541—28no—
260#540—28no—
261#539—232no—
262#533—216no—
263#533D4116yescomplemented
264#532—216no—
265#532—28no—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2311yescharacteristic
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2314yes—
270C2×C4⋊Q8C2312yes—
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#127C2314yes—
274#529—216no—
275#529—216no—
276#529—216no—
277#529—216no—
278#529—216no—
279#529—216no—
280#529—216no—
281C2×#126C2312yes—
282C2×#126C2314yes—
283C2×#126C2312yes—
284C2×#126C2312yes—
285C2×#126C2312yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#125C2311yescharacteristic
291C2×#125C2311yescharacteristic
292C2×#125C2312yes—
293C2×#125C2312yes—
294C2×#125C2312yes—
295C2×#125C2314yes—
296C2×#125C2314yes—
297C2×#125C2314yes—
298C2×#125C2312yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2311yescharacteristic
302C2×#124C2311yescharacteristic
303C2×#124C2314yes—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2314yes—
307C2×#124C2314yes—
308#525—216no—
309#525—216no—
310#525—28no—
311#525—28no—
312C2×#123C2314yes—
313C2×#123C2312yes—
314C2×#123C2312yes—
315C2×#123C2312yes—
316C2×#123C2311yescharacteristic
317C2×#123C2311yescharacteristic
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#120C2312yes—
362C2×#120C2311yescharacteristic
363C2×#120C2311yescharacteristic
364C2×#120C2314yes—
365C4×#41—216no—
366C4×#41—216no—
367C4×#41—28no—
368C4×#41—28no—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2314yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2314yes—
412C2×#117C2314yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C22×C4⋊C4C2314yes—
420C22×C42—28no—
421C22×C42C2312yes—
422C22×C42C2312yes—
423C22×C42C2312yes—
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2312yes—
427C22×C42C2312yes—
428C22×C42C2311yescharacteristic
429C22×C42C2312yes—
430C22×C42C2311yescharacteristic
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
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#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
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#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
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#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#384C2311yescharacteristic
652#384C2312yes—
653#384C2311yescharacteristic
654#384C2314yes—
655#383C2314yes—
656#382C2314yes—
657#382C2312yes—
658#382C2311yescharacteristic
659#382C2311yescharacteristic
660#382C2312yes—
661#382C2312yes—
662#381C2314yes—
663#381C2314yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#379C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706#376C2314yes—
707C25C2411yescharacteristic
708C2×#41—28no—
709C2×#41—28no—
710C2×#41—24no—
711C2×#41—24no—
712C2×#41—44no—
713C2×#41—42no—
714C2×#41—42no—
715C2×#41—44no—
716C2×#41—42no—
717C2×#41—42no—
718C2×#41—44no—
719C2×#41—44no—
720C22×Q8C2412yes—
721C22×Q8C2411yescharacteristic
722C22×Q8C2411yescharacteristic
723C22×Q8C2414yes—
724C22×Q8C2412yes—
725C22×Q8C2412yes—
726C22×D4C2412yes—
727C22×D4C2412yes—
728C22×D4C2412yes—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2411yescharacteristic
733C22×D4C2411yescharacteristic
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2411yescharacteristic
737C22×D4C2411yescharacteristic
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C23×C4—28no—
747C23×C4—24no—
748C23×C4—44no—
749C23×C4—42no—
750C23×C4—42no—
751C23×C4—44no—
752C23×C4C2412yes—
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2411yescharacteristic
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C4⋊Q8—216no—
773C4⋊Q8—24no—
774C4⋊Q8—24no—
775C4⋊Q8—28no—
776C4⋊Q8C2×D4116yes—
777#127—24no—
778#127—24no—
779#127—48no—
780#126—28no—
781#126—28no—
782#126—28no—
783#126—28no—
784#126—216no—
785#126—216no—
786#126—216no—
787#126—216no—
788#126—216no—
789#125—28no—
790#125—28no—
791#125—216no—
792#125—216no—
793#125—216no—
794#125—28no—
795#125—24no—
796#125—24no—
797#125C2×D4116yes—
798#124—28no—
799#124—28no—
800#124—216no—
801#124—216no—
802#124—24no—
803#124—24no—
804#124—28no—
805#124—28no—
806#124—48no—
807#123—216no—
808#123—28no—
809#123—28no—
810#123—28no—
811#123—28no—
812#123—216no—
813#123—216no—
814#123—216no—
815#123—28no—
816#123—24no—
817#123—24no—
818#123—216no—
819#123—48no—
820C22⋊Q8—28no—
821C22⋊Q8—28no—
822C22⋊Q8—216no—
823C22⋊Q8—216no—
824C22⋊Q8—28no—
825C22⋊Q8—28no—
826C22⋊Q8—28no—
827C22⋊Q8—216no—
828C22⋊Q8—216no—
829C22⋊Q8—216no—
830C22⋊Q8—48no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835C22⋊Q8—44no—
836C22⋊Q8—44no—
837C22⋊Q8C2×D4116yes—
838C22⋊Q8C2×D4116yes—
839#121—28no—
840#121—28no—
841#121—28no—
842#121—28no—
843#121—28no—
844#121—28no—
845#121—28no—
846#121—216no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—44no—
856#120—28no—
857#120—24no—
858#120—24no—
859#120—48no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—216no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8C2×D4116yes—
869C4×Q8C2×D4116yes—
870C4×D4—216no—
871C4×D4—28no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—28no—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—216no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—48no—
894C4×D4—48no—
895C4×D4—48no—
896C4×D4—48no—
897#117—28no—
898#117—28no—
899#117—28no—
900#117—28no—
901#117—28no—
902#117—28no—
903#117—216no—
904#117—24no—
905#117—28no—
906#117—24no—
907#117—216no—
908#117C2×D418yes—
909#117C2×D418yes—
910C2×C4⋊C4—216no—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C42—24no—
1018C2×C42—28no—
1019C2×C42—24no—
1020C2×C42—28no—
1021C2×C42—24no—
1022C2×C42—28no—
1023C2×C42—28no—
1024C2×C42—28no—
1025C2×C42—28no—
1026C2×C42C2×D418yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053#95C2414yes—
1054#95C2414yes—
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—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089C24—22no—
1090C24—24no—
1091C24—42no—
1092C24—41no—
1093C24—41no—
1094C24C2514yes—
1095C24C2511yescharacteristic
1096C24C2512yes—
1097C24C2511yescharacteristic
1098C24C2511yescharacteristic
1099C24C2512yes—
1100#41—432no—
1101#41—432no—
1102#41—416no—
1103#41—416no—
1104C2×Q8—24no—
1105C2×Q8—22no—
1106C2×Q8—22no—
1107C2×Q8—28no—
1108C2×Q8—24no—
1109C2×Q8—24no—
1110C2×Q8—42no—
1111C2×Q8—42no—
1112C2×Q8—42no—
1113C2×Q8—42no—
1114C2×Q8—41no—
1115C2×Q8—41no—
1116C2×Q8—41no—
1117C2×Q8—41no—
1118C2×Q8—44no—
1119C2×Q8—44no—
1120C2×Q8C22×D418yes—
1121C2×Q8C22×D418yes—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—28no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—28no—
1218C22×C4—28no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—432no—
1241C22×C4—416no—
1242C22×C4C22×D414yes—
1243C22×C4C22×D418yes—
1244C22×C4C2514yes—
1245C22×C4C2514yes—
1246C22×C4C2514yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2514yes—
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4C22×D418yes—
1306C4⋊C4C22×D418yes—
1307C4⋊C4C22×D418yes—
1308C4⋊C4C22×D418yes—
1309C4⋊C4C22×D418yes—
1310C4⋊C4C22×D418yes—
1311C4⋊C4C22×D418yes—
1312C4⋊C4C22×D418yes—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4C22×D418yes—
1369C22⋊C4C22×D414yes—
1370C22⋊C4C22×D414yes—
1371C42—22no—
1372C42—24no—
1373C42—22no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—28no—
1383C42—28no—
1384C42—28no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42C22×D414yes—
1392C42C22×D418yes—
1393C42C22×D414yes—
1394C42C22×D414yes—
1395C42C22×D418yes—
1396C42C22×D414yes—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—21no—
1405C23—21no—
1406C23—22no—
1407C23—24no—
1408C23—21no—
1409C23—21no—
1410C23—22no—
1411C23—24no—
1412C23—24no—
1413C23—21no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—24no—
1418C23—24no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—24no—
1426C23—21no—
1427C23—22no—
1428C23—21no—
1429C23—22no—
1430C23—24no—
1431C23—48no—
1432C23—44no—
1433C23—44no—
1434C23—48no—
1435C23—44no—
1436C23C23×D412yes—
1437C23#58514yes—
1438C23C2611yescharacteristic
1439Q8—48no—
1440Q8—48no—
1441Q8—44no—
1442Q8—44no—
1443Q8—48no—
1444Q8—88no—
1445D4—48no—
1446D4—48no—
1447D4—48no—
1448D4—48no—
1449D4—44no—
1450D4—44no—
1451D4—48no—
1452D4—48no—
1453D4—44no—
1454D4—44no—
1455D4—48no—
1456D4—48no—
1457D4—88no—
1458D4—88no—
1459D4—88no—
1460D4—88no—
1461D4—88no—
1462D4—88no—
1463D4—164no—
1464D4—164no—
1465C2×C4—216no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—28no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—48no—
1520C2×C4—48no—
1521C2×C4—48no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—48no—
1525C2×C4—48no—
1526C2×C4—48no—
1527C2×C4—48no—
1528C2×C4—48no—
1529C2×C4—44no—
1530C2×C4—48no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—48no—
1534C2×C4—88no—
1535C2×C4—88no—
1536C2×C4—88no—
1537C2×C4C23×D414yes—
1538C2×C4C23×D414yes—
1539C2×C4C23×D414yes—
1540C2×C4C23×D414yes—
1541C2×C4C23×D412yes—
1542C2×C4C23×D414yes—
1543C2×C4C23×D414yes—
1544C2×C4C23×D412yes—
1545C2×C4#58514yes—
1546C2×C4#58512yes—
1547C2×C4#58512yes—
1548C22—24no—
1549C22—22no—
1550C22—24no—
1551C22—24no—
1552C22—24no—
1553C22—416no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—41no—
1559C22—42no—
1560C22—41no—
1561C22—44no—
1562C22—42no—
1563C22—42no—
1564C22—44no—
1565C22—42no—
1566C22—42no—
1567C22—41no—
1568C22—41no—
1569C22—42no—
1570C22—44no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—44no—
1576C22—44no—
1577C22—44no—
1578C22—42no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—44no—
1583C22—41no—
1584C22—42no—
1585C22C24×D411yescharacteristic
1586C22C2×#58511yescharacteristic
1587C22C2×#58512yes—
1588C22C2×#58512yes—
1589C22C2×#58511yescharacteristic
1590C4—22no—
1591C4—24no—
1592C4—24no—
1593C4—24no—
1594C4—24no—
1595C4—24no—
1596C4—24no—
1597C4—24no—
1598C4—44no—
1599C4—44no—
1600C4—42no—
1601C4—41no—
1602C4—41no—
1603C4—42no—
1604C4—44no—
1605C4—42no—
1606C4—44no—
1607C4—44no—
1608C4—44no—
1609C4—44no—
1610C4#348714yes—
1611C2—44no—
1612C2—42no—
1613C2—81no—
1614C2—84no—
1615C2—82no—
1616C2—81no—
1617C2#6274312yes—
1618C2C2×#348711yescharacteristic
1619C2#6281112yes—
1620C2#6282911yescharacteristic
1621C2#6283911yescharacteristic
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×#3557C2semidirect
2. C2×#3444C2semidirect
3. #59159C2semidirect
4. #59157C2semidirect
5. #46310C2semidirect
6. #46277C2semidirect
7. #39131C2semidirect
8. #39130C2semidirect
9. #39119C2semidirect
10. #39118C2semidirect
11. #37803C2semidirect
12. #37801C2semidirect
13. #37743C2semidirect
14. #37741C2semidirect
15. #37550C2semidirect
16. #37375C2semidirect
17. #37271C2semidirect
18. #37270C2semidirect
19. #36621C2semidirect
20. #36505C2semidirect
21. #36504C2semidirect
22. #36493C2semidirect
23. #36492C2semidirect
24. #35309C2semidirect
25. #35259C2semidirect
26. #35258C2semidirect
27. #34375C2semidirect
29. C2×#563C22semidirect
30. C2×#559C22semidirect
31. C2×#557C22semidirect
32. C2×#556C22semidirect
33. C2×#554C22semidirect
34. C2×#552C22semidirect
61. #2857C22semidirect
62. #2857C22semidirect
63. #2856C22semidirect
71. #2851C22semidirect
72. #2851C22semidirect
75. #2850C22semidirect
79. #2821C22semidirect
80. #2818C22semidirect
81. #2733C22semidirect
83. #2731C22semidirect
85. #2730C22semidirect
86. #2730C22semidirect
90. #2721C22semidirect
92. #2719C22semidirect
102. #2694C22semidirect
104. #2690C22semidirect
117. #2629C22semidirect
118. #2629C22semidirect
119. #2628C22semidirect
120. #2621C22semidirect
121. #2620C22semidirect
122. #2619C22semidirect
127. #2610C22semidirect
128. #2610C22semidirect
132. #2562C22semidirect
133. #2562C22semidirect
134. #2560C22semidirect
137. #2554C22semidirect
143. #2540C22semidirect
144. #2540C22semidirect
151. #2536C22semidirect
152. #2536C22semidirect
155. #2535C22semidirect
156. #2535C22semidirect
157. #2519C22semidirect
158. #2512C22semidirect
159. #2481C22semidirect
161. #2479C22semidirect
162. #2479C22semidirect
164. #2477C22semidirect
166. #2475C22semidirect
169. #2471C22semidirect
170. #2469C22semidirect
171. #2469C22semidirect
174. #2467C22semidirect
175. #2467C22semidirect
176. #2467C22semidirect
178. #2465C22semidirect
181. #2463C22semidirect
182. #2463C22semidirect
183. #2462C22semidirect
187. #2460C22semidirect
188. #2460C22semidirect
191. #2458C22semidirect
196. #2456C22semidirect
197. #2456C22semidirect
199. #2448C22semidirect
200. #2446C22semidirect
205. #2423C22semidirect
206. #2421C22semidirect
209. #2381C22semidirect
210. #2371C22semidirect
214. #2363C22semidirect
215. #2362C22semidirect
217. #2355C22semidirect
218. #2355C22semidirect
219. #2355C22semidirect
220. #2355C22semidirect
221. #2354C22semidirect
222. #2352C22semidirect
225. #2324C22semidirect
226. #2324C22semidirect
227. #2323C22semidirect
228. #2323C22semidirect
234. C4×C22⋊Q8C22semidirect
235. C4×C22⋊Q8C22semidirect
239. C4×#121C22semidirect
240. C4×#121C22semidirect
263. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35572
C2×#34442
#591592
#591572
#463102
#462772
#391312
#391302
#391192
#391182
#378032
#378012
#377432
#377412
#375502
#373752
#372712
#372702
#366212
#365052
#365042
#364932
#364922
#353092
#352592
#352582
#343752