Finite Group Databasebeta

← #7656589

Subgroups — #7656589

Order 512.

6618 conjugacy classes of subgroups.

The subgroup lattice has 1605 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3516C212yesmaximal, complemented
2#42805C212yesmaximal, complemented
3#42804C212yesmaximal, complemented
4#42801C212yesmaximal, complemented
5#42800C212yesmaximal, complemented
6#42301C214yesmaximal, complemented
7#42300C214yesmaximal, complemented
8#41943C214yesmaximal, complemented
9#41942C214yesmaximal, complemented
10#39743C211yesmaximal, characteristic, complemented
11#39738C212yesmaximal, complemented
12#39615C211yesmaximal, characteristic, complemented
13#39610C212yesmaximal, complemented
14#39166C212yesmaximal, complemented
15#39160C214yesmaximal, complemented
16#37620C212yesmaximal, complemented
17#37608C214yesmaximal, complemented
18#36596C211yesmaximal, characteristic, complemented
19#36561C211yesmaximal, characteristic, complemented
20#36518C212yesmaximal, complemented
21#35832C212yesmaximal, complemented
22#35817C212yesmaximal, complemented
23#35787C212yesmaximal, complemented
24#35772C212yesmaximal, complemented
25#35103C212yesmaximal, complemented
26#35103C211yesmaximal, characteristic, complemented
27#34594C211yesmaximal, characteristic, complemented
28#34594C212yesmaximal, complemented
29C2×#2355C211yesmaximal, characteristic, complemented
30#3516—232no—
31C2×#557C2212yes—
32C2×#556C2214yes—
33C2×#556C2212yes—
34C2×#554C2212yes—
35C2×#554C2214yes—
36C2×#553C2214yes—
37C2×#553C2212yes—
38C2×#552C2214yes—
39C2×#552C2212yes—
40C2×D4×Q8C2212yes—
41C2×#548C2212yes—
42C2×#548C2212yes—
43C2×#542C2212yes—
44C2×#542C2214yes—
45C2×#541C2212yes—
46C2×#541C2214yes—
47C2×#529C2214yes—
48C2×#529C2212yes—
49C2×#529C2214yes—
50C2×#529C2212yes—
51C2×#520C2212yes—
52C2×#519C2212yes—
53C22×C4×Q8C2211yescharacteristic
54#2857C2212yes—
55#2857C2211yescharacteristic
56#2856C2212yes—
57#2856C2211yescharacteristic
58#2850C2214yes—
59#2850C2212yes—
60#2823C2214yes—
61#2823C2214yes—
62#2822C2214yes—
63#2820C2214yes—
64#2820C2214yes—
65#2819C2214yes—
66#2734C2212yes—
67#2733C2212yes—
68#2732C2212yes—
69#2732C2212yes—
70#2731C2214yes—
71#2730C2214yes—
72#2730C2214yes—
73#2729C2214yes—
74#2729C2214yes—
75#2728C2214yes—
76#2723C2214yes—
77#2721C2214yes—
78#2720C2214yes—
79#2719C2214yes—
80#2716C2214yes—
81#2714C2214yes—
82#2713C2214yes—
83#2711C2214yes—
84#2696C2214yes—
85#2694C2214yes—
86#2692C2214yes—
87#2690C2214yes—
88#2677C2214yes—
89#2676C2214yes—
90#2674C2214yes—
91#2673C2214yes—
92#2664C2214yes—
93#2664C2214yes—
94#2664C2212yes—
95#2664C2212yes—
96#2662C2214yes—
97#2662C2214yes—
98#2662C2212yes—
99#2662C2212yes—
100#2659C2211yescharacteristic
101#2659C2212yes—
102#2656C2211yescharacteristic
103#2656C2212yes—
104#2639C2212yes—
105#2639C2214yes—
106#2637C2214yes—
107#2637C2214yes—
108#2637C2214yes—
109#2637C2214yes—
110#2636C2214yes—
111#2636C2214yes—
112#2636C2214yes—
113#2636C2214yes—
114#2629C2212yes—
115#2629C2212yes—
116#2629C2214yes—
117#2620C2212yes—
118#2620C2212yes—
119#2620C2214yes—
120#2618C2211yescharacteristic
121#2618C2212yes—
122#2618C2212yes—
123#2618C2214yes—
124#2618C2211yescharacteristic
125#2618C2212yes—
126#2618C2214yes—
127#2609C2214yes—
128#2609C2214yes—
129#2609C2214yes—
130#2609C2214yes—
131#2601C2214yes—
132#2601C2214yes—
133#2601C2214yes—
134#2601C2214yes—
135#2601C2214yes—
136#2601C2214yes—
137#2582C2212yes—
138#2566C2214yes—
139#2566C2212yes—
140#2565C2214yes—
141#2565C2212yes—
142#2564C2214yes—
143#2564C2214yes—
144#2564C2214yes—
145#2564C2214yes—
146#2560C2214yes—
147#2558C2214yes—
148#2556C2214yes—
149#2554C2214yes—
150#2552C2211yescharacteristic
151#2551C2211yescharacteristic
152#2550C2212yes—
153#2545C2212yes—
154#2545C2214yes—
155#2544C2212yes—
156#2544C2214yes—
157#2543C2214yes—
158#2543C2214yes—
159#2543C2214yes—
160#2543C2214yes—
161#2542C2211yescharacteristic
162#2541C2211yescharacteristic
163#2540C2212yes—
164#2538C2212yes—
165#2538C2212yes—
166#2537C2212yes—
167#2519C2214yes—
168#2512C2212yes—
169#2506C2212yes—
170#2492C2212yes—
171#2491C2212yes—
172#2490C2212yes—
173#2489C2212yes—
174#2481C2214yes—
175#2479C2214yes—
176#2477C2214yes—
177#2475C2214yes—
178#2473C2214yes—
179#2471C2214yes—
180#2469C2214yes—
181#2467C2214yes—
182#2465C2214yes—
183#2463C2214yes—
184#2462C2214yes—
185#2461C2214yes—
186#2460C2214yes—
187#2458C2214yes—
188#2456C2214yes—
189#2452C2212yes—
190#2449C2214yes—
191#2448C2212yes—
192#2448C2212yes—
193#2446C2212yes—
194#2446C2212yes—
195#2445C2212yes—
196#2443C2214yes—
197#2436C2212yes—
198#2434C2212yes—
199#2432C2212yes—
200#2431C2212yes—
201#2423C2212yes—
202#2423C2212yes—
203#2421C2212yes—
204#2421C2212yes—
205#2417C2212yes—
206#2417C2214yes—
207#2417C2212yes—
208#2416C2214yes—
209#2416C2212yes—
210#2416C2212yes—
211#2409C2212yes—
212#2409C2212yes—
213#2407C2212yes—
214#2407C2212yes—
215#2396C2212yes—
216#2396C2212yes—
217#2396C2214yes—
218#2396C2214yes—
219#2392C2212yes—
220#2392C2212yes—
221#2392C2214yes—
222#2392C2214yes—
223#2367C2212yes—
224#2366C2211yescharacteristic
225#2365C2211yescharacteristic
226#2363C2212yes—
227#2362C2212yes—
228#2361C2212yes—
229#2360C2212yes—
230#2355C2212yes—
231#2355C2212yes—
232#2355C2214yes—
233#2355C2214yes—
234#2355C2212yes—
235#2355C2212yes—
236#2354C2211yescharacteristic
237#2352C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239#2325C2212yes—
240#2325C2212yes—
241#2325C2212yes—
242#2325C2212yes—
243#2325C2214yes—
244C4×#121C2212yes—
245C4×#121C2211yescharacteristic
246C4×#121C2214yes—
247C4×#121C2212yes—
248C4×#121C2212yes—
249C4×#121C2211yescharacteristic
250C2×#391C2211yescharacteristic
251C2×#391C2211yescharacteristic
252C2×#387C2212yes—
253C2×#387C2212yes—
254C2×#384C2211yescharacteristic
255C2×#382C2212yes—
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C4⋊C4C2212yes—
258C2×C4×C4⋊C4C2211yescharacteristic
259C2×C4×C4⋊C4C2211yescharacteristic
260C22×#41C2312yes—
261C23×Q8C2312yes—
262C23×Q8C2311yescharacteristic
263#557—216no—
264#556—216no—
265#556—232no—
266#554—216no—
267#554—232no—
268#553—232no—
269#553—216no—
270#552—216no—
271#552—232no—
272D4×Q8—216no—
273#548—216no—
274#548—216no—
275#542—216no—
276#542—232no—
277#541—216no—
278#541—232no—
279C2×C4⋊Q8C2314yes—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2314yes—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2312yes—
285C2×#127C2311yescharacteristic
286C2×#127C2312yes—
287#529—232no—
288#529—216no—
289#529—216no—
290#529—232no—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#126C2312yes—
294C2×#126C2312yes—
295C2×#126C2314yes—
296C2×#126C2314yes—
297C2×#126C2314yes—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#125C2314yes—
302C2×#125C2314yes—
303C2×#125C2312yes—
304C2×#125C2312yes—
305C2×#125C2314yes—
306C2×#125C2314yes—
307C2×#125C2314yes—
308C2×#125C2314yes—
309C2×#125C2312yes—
310C2×#124C2314yes—
311C2×#124C2314yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#124C2312yes—
317C2×#124C2314yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356#520—216no—
357#519—216no—
358C2×C4×Q8D4116yescomplemented
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×#117C2314yes—
390C2×#117C2314yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2314yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2314yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2314yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411C22×C42C2312yes—
412C22×C42C2312yes—
413C22×C42C2311yescharacteristic
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2312yes—
428#399C2314yes—
429#399C2312yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#396C2312yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2312yes—
486#396C2312yes—
487#396C2312yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2312yes—
494#395C2314yes—
495#395C2312yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2312yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2312yes—
524#393C2314yes—
525#393C2312yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2312yes—
532#392C2314yes—
533#392C2312yes—
534#391C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2314yes—
676#384C2312yes—
677#384C2312yes—
678#382C2314yes—
679#382C2314yes—
680#382C2312yes—
681#382C2314yes—
682#382C2314yes—
683#382C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2314yes—
688#380C2312yes—
689#380C2311yescharacteristic
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2311yescharacteristic
695#380C2314yes—
696#380C2314yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C2×#95C2312yes—
729C2×#95C2312yes—
730C2×#95C2312yes—
731C2×#95C2312yes—
732C2×#95C2311yescharacteristic
733C2×#95C2312yes—
734C2×#95C2311yescharacteristic
735C2×#95C2312yes—
736C2×#41—28no—
737C2×#41—44no—
738C2×#41—44no—
739C22×Q8—28no—
740C22×Q8—42no—
741C22×Q8—42no—
742C22×Q8—44no—
743C22×Q8—44no—
744C22×Q8C2×D418yes—
745C22×Q8C2412yes—
746C22×Q8C2412yes—
747C22×Q8C2414yes—
748C22×Q8C2412yes—
749C22×Q8C2414yes—
750C22×Q8C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2411yescharacteristic
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2411yescharacteristic
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2414yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2414yes—
779C23×C4C2411yescharacteristic
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C4⋊Q8—28no—
784C4⋊Q8—216no—
785C4⋊Q8—28no—
786C4⋊Q8—216no—
787C4⋊Q8—42no—
788C4⋊Q8—82no—
789#127—42no—
790#127—82no—
791#126—216no—
792#126—216no—
793#126—216no—
794#126—216no—
795#126—216no—
796#126—216no—
797#126—216no—
798#126—28no—
799#126—216no—
800#126—28no—
801#125—216no—
802#125—216no—
803#125—216no—
804#125—28no—
805#125—216no—
806#125—28no—
807#125—216no—
808#125—28no—
809#125—216no—
810#124—28no—
811#124—216no—
812#124—28no—
813#124—216no—
814#124—28no—
815#124—216no—
816#124—44no—
817#124—84no—
818#123—28no—
819#123—216no—
820#123—28no—
821#123—216no—
822#123—216no—
823#123—216no—
824C22⋊Q8—28no—
825C22⋊Q8—216no—
826C22⋊Q8—28no—
827C22⋊Q8—216no—
828C22⋊Q8—28no—
829C22⋊Q8—216no—
830C22⋊Q8—216no—
831C22⋊Q8—28no—
832C22⋊Q8—28no—
833C22⋊Q8—216no—
834C22⋊Q8—216no—
835C22⋊Q8—216no—
836C22⋊Q8—216no—
837C22⋊Q8—44no—
838C22⋊Q8—44no—
839C22⋊Q8—84no—
840#121—28no—
841#121—216no—
842#121—216no—
843#121—28no—
844#121—24no—
845#121—28no—
846#121—24no—
847#121—28no—
848#121—216no—
849#121—44no—
850#121—44no—
851#121—48no—
852#121—44no—
853#121—48no—
854#121—44no—
855#121—84no—
856C4×Q8—28no—
857C4×Q8—28no—
858C4×Q8—28no—
859C4×Q8—216no—
860C4×Q8—216no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—216no—
864C4×Q8C2×D4116yes—
865C4×Q8C2×D4116yes—
866C4×Q8C2×D4132yes—
867C4×D4—28no—
868C4×D4—216no—
869C4×D4—28no—
870C4×D4—216no—
871C4×D4—216no—
872C4×D4—216no—
873C4×D4—216no—
874C4×D4—28no—
875C4×D4—216no—
876C4×D4—216no—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—216no—
880C4×D4—44no—
881C4×D4—42no—
882C4×D4—42no—
883C4×D4—84no—
884C4×D4—82no—
885C4×D4—82no—
886#117—28no—
887#117—216no—
888#117—216no—
889#117—28no—
890#117—216no—
891#117—28no—
892#117—216no—
893#117—216no—
894#117—216no—
895C2×C4⋊C4—24no—
896C2×C4⋊C4—28no—
897C2×C4⋊C4—216no—
898C2×C4⋊C4—42no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4—42no—
901C2×C4⋊C4—44no—
902C2×C4⋊C4—82no—
903C2×C4⋊C4C2×D418yes—
904C2×C4⋊C4C2×D4116yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C42—42no—
1026C2×C42—42no—
1027C2×C42—82no—
1028C2×C42—82no—
1029C2×C42C2×D4116yes—
1030C2×C42C2×D418yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102C24C2512yes—
1103C24C2512yes—
1104C24C2514yes—
1105C24C2511yescharacteristic
1106#41—432no—
1107C2×Q8—28no—
1108C2×Q8—24no—
1109C2×Q8—24no—
1110C2×Q8—28no—
1111C2×Q8—24no—
1112C2×Q8—24no—
1113C2×Q8—24no—
1114C2×Q8—24no—
1115C2×Q8—42no—
1116C2×Q8—42no—
1117C2×Q8—44no—
1118C2×Q8—44no—
1119C2×Q8—42no—
1120C2×Q8—44no—
1121C2×Q8—42no—
1122C2×Q8—44no—
1123C2×Q8—416no—
1124C2×Q8—432no—
1125C2×Q8C22×D418yes—
1126C2×Q8C22×D418yes—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—28no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—41no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—41no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—44no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—28no—
1179C22×C4—24no—
1180C22×C4—28no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—42no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4C22×D414yes—
1218C22×C4C22×D414yes—
1219C22×C4C22×D418yes—
1220C22×C4C22×D414yes—
1221C22×C4C22×D418yes—
1222C22×C42−1+414yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—42no—
1297C4⋊C4—41no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—41no—
1310C4⋊C4C22×D414yes—
1311C4⋊C4C22×D4116yes—
1312C4⋊C4C22×D414yes—
1313C4⋊C4C22×D4116yes—
1314C4⋊C4C22×D418yes—
1315C22⋊C4—24no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
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—42no—
1358C22⋊C4—42no—
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—42no—
1368C42—28no—
1369C42—28no—
1370C42—28no—
1371C42—28no—
1372C42—24no—
1373C42—28no—
1374C42—24no—
1375C42—24no—
1376C42—22no—
1377C42—22no—
1378C42—41no—
1379C42—41no—
1380C42—42no—
1381C42—42no—
1382C42—42no—
1383C42—44no—
1384C42—44no—
1385C42—42no—
1386C42—42no—
1387C42C22×D4116yes—
1388C42C22×D418yes—
1389C42C22×D418yes—
1390C42C22×D4116yes—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—24no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—24no—
1401C23—22no—
1402C23—22no—
1403C23—24no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—24no—
1409C23—24no—
1410C23—22no—
1411C23—24no—
1412C23—22no—
1413C23—22no—
1414C23—24no—
1415C23—22no—
1416C23C23×D412yes—
1417C23C2×2−1+412yes—
1418C23#58512yes—
1419C23C2611yescharacteristic
1420Q8—216no—
1421Q8—48no—
1422Q8—416no—
1423Q8—48no—
1424Q8—84no—
1425Q8—88no—
1426D4—44no—
1427D4—416no—
1428D4—48no—
1429D4—416no—
1430D4—48no—
1431D4—48no—
1432D4—84no—
1433D4—88no—
1434D4—82no—
1435D4—84no—
1436D4—84no—
1437D4—88no—
1438D4—162no—
1439D4—164no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—28no—
1457C2×C4—28no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—48no—
1507C2×C4—44no—
1508C2×C4—48no—
1509C2×C4—44no—
1510C2×C4—416no—
1511C2×C4—416no—
1512C2×C4—44no—
1513C2×C4—48no—
1514C2×C4—48no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4—82no—
1519C2×C4—82no—
1520C2×C4—84no—
1521C2×C4—84no—
1522C2×C4C23×D414yes—
1523C2×C4C23×D414yes—
1524C2×C4C23×D418yes—
1525C2×C4C23×D414yes—
1526C2×C4C23×D412yes—
1527C2×C4C23×D414yes—
1528C2×C4C23×D412yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—42no—
1540C22—44no—
1541C22—42no—
1542C22—42no—
1543C22—44no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—44no—
1548C22—42no—
1549C22—42no—
1550C22—44no—
1551C22—42no—
1552C22—44no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—44no—
1557C22—42no—
1558C22—44no—
1559C22—42no—
1560C22#349714yes—
1561C22C24×D411yescharacteristic
1562C22C22×2−1+411yescharacteristic
1563C22C2×#58511yescharacteristic
1564C22C2×#58511yescharacteristic
1565C22C2×#58511yescharacteristic
1566C22H(7,𝔽2)11yescharacteristic
1567C222−1+611yescharacteristic
1568C4—24no—
1569C4—24no—
1570C4—24no—
1571C4—24no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—28no—
1576C4—42no—
1577C4—44no—
1578C4—42no—
1579C4—42no—
1580C4—44no—
1581C4—42no—
1582C4—42no—
1583C4—41no—
1584C4—42no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—44no—
1589C4—42no—
1590C4—44no—
1591C4—42no—
1592C4#344914yes—
1593C2—24no—
1594C2—82no—
1595C2—84no—
1596C2—82no—
1597C2C2×#344911yescharacteristic
1598C2C2×#349711yescharacteristic
1599C2#6285311yescharacteristic
1600C2#6290211yescharacteristic
1601C2#6291111yescharacteristic
1602C2#6295611yescharacteristic
1603C2#6296511yescharacteristic
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×#3516C2semidirect
2. #42805C2semidirect
3. #42804C2semidirect
4. #42801C2semidirect
5. #42800C2semidirect
6. #42301C2semidirect
7. #42300C2semidirect
8. #41943C2semidirect
9. #41942C2semidirect
10. #39743C2semidirect
11. #39738C2semidirect
12. #39615C2semidirect
13. #39610C2semidirect
14. #39166C2semidirect
15. #39160C2semidirect
16. #37620C2semidirect
17. #37608C2semidirect
18. #36596C2semidirect
19. #36561C2semidirect
20. #36518C2semidirect
21. #35832C2semidirect
22. #35817C2semidirect
23. #35787C2semidirect
24. #35772C2semidirect
25. #35103C2semidirect
26. #35103C2semidirect
27. #34594C2semidirect
28. #34594C2semidirect
29. C2×#2355C2semidirect
358. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35162
#428052
#428042
#428012
#428002
#423012
#423002
#419432
#419422
#397432
#397382
#396152
#396102
#391662
#391602
#376202
#376082
#365962
#365612
#365182
#358322
#358172
#357872
#357722
#351032
#345942
C2×#23552