Finite Group Databasebeta

← #7695617

Subgroups — #7695617

Order 512.

6851 conjugacy classes of subgroups.

The subgroup lattice has 1538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3503C212yesmaximal, complemented
2#59832C211yesmaximal, characteristic, complemented
3#59830C212yesmaximal, complemented
4#59151C212yesmaximal, complemented
5#59149C214yesmaximal, complemented
6#52162C211yesmaximal, characteristic, complemented
7C2×#2734C212yesmaximal, complemented
8#45389C212yesmaximal, complemented
9#45099C212yesmaximal, complemented
10#44894C212yesmaximal, complemented
11#43909C214yesmaximal, complemented
12#43891C214yesmaximal, complemented
13#43100C214yesmaximal, complemented
14#39615C212yesmaximal, complemented
15#39612C211yesmaximal, characteristic, complemented
16#39593C214yesmaximal, complemented
17#39591C212yesmaximal, complemented
18#39368C212yesmaximal, complemented
19#39365C211yesmaximal, characteristic, complemented
20#37689C214yesmaximal, complemented
21#37686C212yesmaximal, complemented
22#36261C211yesmaximal, characteristic, complemented
23#36219C212yesmaximal, complemented
24#35928C212yesmaximal, complemented
25#35806C212yesmaximal, complemented
26#35739C212yesmaximal, complemented
27#34334C211yesmaximal, characteristic, complemented
28#34308C211yesmaximal, characteristic
29#34289C212yesmaximal
30#3503—232no—
31C2×Q82C2212yes—
32C2×Q82C2212yes—
33C2×#557C2212yes—
34C2×#557C2212yes—
35C2×#554C2214yes—
36C2×#554C2212yes—
37C2×#554C2214yes—
38C2×#554C2212yes—
39C2×D4×Q8C2212yes—
40C2×D4×Q8C2214yes—
41C2×D4×Q8C2214yes—
42C2×D4×Q8C2211yescharacteristic
43C2×#547C2211yescharacteristic
44C2×#544C2212yes—
45C2×#544C2214yes—
46C2×#544C2212yes—
47C2×#544C2214yes—
48C2×#533C2214yes—
49C2×#533C2212yes—
50C22×C4⋊Q8C2212yes—
51C22×C4⋊Q8C2214yes—
52C2×#520C2212yes—
53C2×#520C2212yes—
54C2×C4×#41C2212yes—
55#2859C2211yescharacteristic
56#2857C2212yes—
57#2855C2214yes—
58#2851C2212yes—
59#2734C2214yes—
60#2734C2214yes—
61#2734C2214yes—
62#2734C2214yes—
63#2734C2214yes—
64#2734C2214yes—
65#2734C2214yes—
66#2734C2214yes—
67#2734C2212yes—
68#2734C2212yes—
69#2734C2212yes—
70#2734C2212yes—
71#2734C2211yescharacteristic
72#2734C2212yes—
73#2732C2212yes—
74#2732C2211yescharacteristic
75#2729C2214yes—
76#2729C2214yes—
77#2729C2214yes—
78#2729C2214yes—
79#2729C2212yes—
80#2726C2214yes—
81#2726C2212yes—
82#2726C2212yes—
83#2726C2212yes—
84#2726C2211yescharacteristic
85#2720C2214yes—
86#2720C2212yes—
87#2713C2214yes—
88#2713C2214yes—
89#2713C2212yes—
90#2713C2214yes—
91#2713C2214yes—
92#2713C2214yes—
93#2704C2214yes—
94#2704C2212yes—
95#2692C2212yes—
96#2683C2212yes—
97#2683C2211yescharacteristic
98#2677C2212yes—
99#2677C2214yes—
100#2677C2214yes—
101#2660C2212yes—
102#2659C2214yes—
103#2629C2212yes—
104#2628C2212yes—
105#2627C2214yes—
106#2627C2214yes—
107#2584C2212yes—
108#2584C2212yes—
109#2583C2214yes—
110#2583C2214yes—
111#2582C2212yes—
112#2581C2212yes—
113#2581C2212yes—
114#2579C2214yes—
115#2579C2214yes—
116#2567C2212yes—
117#2567C2212yes—
118#2565C2212yes—
119#2565C2212yes—
120#2564C2214yes—
121#2564C2214yes—
122#2556C2214yes—
123#2556C2214yes—
124#2556C2214yes—
125#2552C2211yescharacteristic
126#2551C2211yescharacteristic
127#2551C2212yes—
128#2551C2214yes—
129#2551C2212yes—
130#2551C2212yes—
131#2550C2212yes—
132#2550C2212yes—
133#2550C2212yes—
134#2549C2214yes—
135#2549C2214yes—
136#2549C2214yes—
137#2546C2214yes—
138#2546C2214yes—
139#2506C2214yes—
140#2506C2214yes—
141#2473C2214yes—
142#2465C2214yes—
143#2465C2214yes—
144#2462C2214yes—
145#2462C2214yes—
146#2462C2214yes—
147#2462C2214yes—
148#2462C2214yes—
149#2462C2214yes—
150#2453C2212yes—
151#2453C2212yes—
152#2451C2214yes—
153#2451C2212yes—
154#2451C2212yes—
155#2451C2212yes—
156#2451C2214yes—
157#2451C2212yes—
158#2450C2214yes—
159#2450C2214yes—
160#2449C2214yes—
161#2449C2214yes—
162#2449C2214yes—
163#2449C2214yes—
164#2449C2214yes—
165#2446C2214yes—
166#2446C2214yes—
167#2446C2214yes—
168#2442C2212yes—
169#2441C2212yes—
170#2440C2212yes—
171#2440C2212yes—
172#2440C2214yes—
173#2440C2212yes—
174#2440C2212yes—
175#2440C2214yes—
176#2440C2214yes—
177#2440C2212yes—
178#2439C2212yes—
179#2438C2214yes—
180#2438C2214yes—
181#2438C2214yes—
182#2438C2214yes—
183#2438C2214yes—
184#2438C2214yes—
185#2434C2214yes—
186#2434C2214yes—
187#2434C2214yes—
188#2434C2214yes—
189#2429C2214yes—
190#2429C2214yes—
191#2423C2214yes—
192#2417C2214yes—
193#2409C2214yes—
194#2409C2214yes—
195#2399C2212yes—
196#2396C2212yes—
197#2396C2212yes—
198C2×#398C2214yes—
199C2×#395C2214yes—
200C2×#395C2214yes—
201#2369C2212yes—
202#2368C2214yes—
203#2365C2211yescharacteristic
204#2365C2212yes—
205#2365C2211yescharacteristic
206#2365C2212yes—
207#2364C2214yes—
208#2362C2212yes—
209#2361C2212yes—
210#2360C2212yes—
211#2360C2214yes—
212#2360C2212yes—
213#2360C2212yes—
214#2359C2214yes—
215#2359C2214yes—
216#2359C2214yes—
217#2355C2211yescharacteristic
218#2352C2212yes—
219#2349C2212yes—
220#2349C2212yes—
221#2349C2212yes—
222D4×C4⋊C4C2211yescharacteristic
223D4×C4⋊C4C2211yescharacteristic
224D4×C4⋊C4C2211yescharacteristic
225D4×C4⋊C4C2212yes—
226D4×C4⋊C4C2211yescharacteristic
227D4×C4⋊C4C2211yescharacteristic
228#2344C2212yes—
229#2344C2214yes—
230Q8×C22⋊C4C2212yes—
231#2339C2212yes—
232#2339C2212yes—
233#2339C2212yes—
234#2331C2212yes—
235#2329C2214yes—
236#2327C2212yes—
237#2325C2214yes—
238#2323C2212yes—
239#2323C2212yes—
240#2322C2214yes—
241#2322C2214yes—
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×C22⋊Q8C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×C22⋊Q8C2212yes—
248C4×#123C2214yes—
249C4×#121C2212yes—
250#2295C2211yescharacteristic
251C2×#391C2212yes—
252#2293C2211yescharacteristic
253C2×#389C2212yes—
254C2×#389C2212yes—
255#2290C2212yes—
256C2×#387C2214yes—
257C2×#387C2214yes—
258#2275C2212yes—
259C42×D4C2211yescharacteristic
260C22×#41C2312yes—
261C23×Q8C2314yes—
262C23×Q8C2314yes—
263C23×Q8C2312yes—
264Q82—216no—
265Q82—216no—
266#557—216no—
267#557—216no—
268#554—232no—
269#554—232no—
270#554—216no—
271#554—216no—
272D4×Q8—232no—
273D4×Q8—232no—
274D4×Q8—216no—
275D4×Q8D4116yescomplemented
276#547Q8116yescomplemented
277#544—216no—
278#544—216no—
279#544—232no—
280#544—232no—
281#533—232no—
282#533—216no—
283C2×C4⋊Q8—232no—
284C2×C4⋊Q8—216no—
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2312yes—
287C2×C4⋊Q8C2312yes—
288C2×C4⋊Q8C2314yes—
289C2×C4⋊Q8C2314yes—
290C2×C4⋊Q8C2314yes—
291C2×C4⋊Q8C2314yes—
292C2×C4⋊Q8C2314yes—
293C2×C4⋊Q8C2314yes—
294C2×C4⋊Q8C2312yes—
295C2×C4⋊Q8C2312yes—
296C2×C4⋊Q8C2314yes—
297C2×C4⋊Q8C2314yes—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2314yes—
300C2×C4⋊Q8C2314yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2314yes—
304C2×C4⋊Q8C2314yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×#121C2312yes—
349#520—216no—
350#520—216no—
351C4×#41—216no—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2314yes—
388C2×#117C2314yes—
389C2×#117C2312yes—
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2314yes—
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2314yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2314yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2314yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C42C2312yes—
404C22×C42C2314yes—
405C22×C42C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#399C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2312yes—
459#396C2312yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2312yes—
476#395C2312yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2312yes—
487#395C2312yes—
488#395C2312yes—
489#395C2312yes—
490#395C2314yes—
491#395C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2312yes—
495#393C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
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#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2312yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2314yes—
672#384C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#381C2314yes—
677#381C2314yes—
678#381C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2314yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728#376C2312yes—
729C2×#95C2314yes—
730C2×#95C2314yes—
731C2×#95C2314yes—
732C2×#95C2314yes—
733C2×#95C2314yes—
734C2×#95C2314yes—
735C2×#95C2314yes—
736C43C2311yescharacteristic
737C2×#41—28no—
738C2×#41—28no—
739C2×#41C2×Q8116yescomplemented
740C22×Q8—216no—
741C22×Q8—216no—
742C22×Q8—82no—
743C22×Q8—82no—
744C22×Q8—84no—
745C22×Q8—84no—
746C22×Q8—84no—
747C22×Q8—84no—
748C22×Q8C2×D4116yes—
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×Q8C2412yes—
752C22×Q8C2412yes—
753C22×Q8C2414yes—
754C22×Q8C2414yes—
755C22×Q8C2414yes—
756C22×Q8C2414yes—
757C22×Q8C2414yes—
758C22×Q8C2412yes—
759C22×Q8C2411yescharacteristic
760C22×Q8C2414yes—
761C22×D4C2414yes—
762C22×D4C2411yescharacteristic
763C22×D4C2411yescharacteristic
764C23×C4C2414yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2414yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2414yes—
777C23×C4C2412yes—
778C4⋊Q8—216no—
779C4⋊Q8—28no—
780C4⋊Q8—216no—
781C4⋊Q8—216no—
782C4⋊Q8—216no—
783C4⋊Q8—216no—
784C4⋊Q8—216no—
785C4⋊Q8—216no—
786C4⋊Q8—216no—
787C4⋊Q8—216no—
788C4⋊Q8—216no—
789C4⋊Q8—28no—
790C4⋊Q8—28no—
791C4⋊Q8—28no—
792C4⋊Q8—216no—
793C4⋊Q8—216no—
794C4⋊Q8—28no—
795C4⋊Q8—28no—
796C4⋊Q8—24no—
797C4⋊Q8—28no—
798C4⋊Q8—82no—
799C4⋊Q8—84no—
800C4⋊Q8—84no—
801C4⋊Q8C2×D4116yes—
802C4⋊Q8C2×D418yes—
803C4⋊Q8C2×Q818yescomplemented
804#125—216no—
805#125—216no—
806#125—28no—
807#125—28no—
808#125—216no—
809#125—216no—
810#125—216no—
811#125—216no—
812#125—28no—
813#125—28no—
814#125—28no—
815#125—28no—
816#123C2×Q8132yescomplemented
817C22⋊Q8—28no—
818C22⋊Q8—216no—
819C22⋊Q8—216no—
820C22⋊Q8—216no—
821C22⋊Q8—216no—
822C22⋊Q8—216no—
823C22⋊Q8—28no—
824C22⋊Q8—28no—
825C22⋊Q8—28no—
826C22⋊Q8—216no—
827C22⋊Q8—216no—
828C22⋊Q8—28no—
829C22⋊Q8—216no—
830C22⋊Q8—216no—
831C22⋊Q8—216no—
832C22⋊Q8—216no—
833C22⋊Q8—216no—
834C22⋊Q8—216no—
835C22⋊Q8—84no—
836C22⋊Q8—84no—
837C22⋊Q8—84no—
838C22⋊Q8C2×D4132yes—
839C22⋊Q8C2×D4116yes—
840C22⋊Q8C2×Q8116yescomplemented
841#121C2×Q8116yescomplemented
842C4×Q8—216no—
843C4×Q8—28no—
844C4×Q8—28no—
845C4×Q8—28no—
846C4×Q8—216no—
847C4×Q8—216no—
848C4×Q8—216no—
849C4×Q8—28no—
850C4×Q8—28no—
851C4×Q8—28no—
852C4×Q8—28no—
853C4×Q8—28no—
854C4×Q8—28no—
855C4×Q8—82no—
856C4×Q8—82no—
857C4×Q8C2×D418yes—
858C4×D4—28no—
859C4×D4—28no—
860C4×D4—28no—
861C4×D4—24no—
862C4×D4—28no—
863C4×D4—216no—
864C4×D4—216no—
865C4×D4—216no—
866C4×D4—216no—
867C4×D4—216no—
868C4×D4—216no—
869C4×D4—82no—
870C4×D4C2×D4116yes—
871C4×D4C2×D418yes—
872C4×D4C2×Q818yescomplemented
873C4×D4C2×Q818yescomplemented
874#117—28no—
875#117—216no—
876#117—216no—
877#117—216no—
878#117—28no—
879#117—28no—
880C2×C4⋊C4—216no—
881C2×C4⋊C4—216no—
882C2×C4⋊C4—216no—
883C2×C4⋊C4—216no—
884C2×C4⋊C4—28no—
885C2×C4⋊C4—28no—
886C2×C4⋊C4—216no—
887C2×C4⋊C4—28no—
888C2×C4⋊C4—82no—
889C2×C4⋊C4—82no—
890C2×C4⋊C4—82no—
891C2×C4⋊C4—84no—
892C2×C4⋊C4C2×Q8116yescomplemented
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C42—216no—
1006C2×C42—28no—
1007C2×C42—82no—
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096C24C2512yes—
1097C24C2512yes—
1098#41—264no—
1099C2×Q8—24no—
1100C2×Q8—24no—
1101C2×Q8—24no—
1102C2×Q8—28no—
1103C2×Q8—24no—
1104C2×Q8—28no—
1105C2×Q8—28no—
1106C2×Q8—28no—
1107C2×Q8—28no—
1108C2×Q8—24no—
1109C2×Q8—24no—
1110C2×Q8—24no—
1111C2×Q8—42no—
1112C2×Q8—42no—
1113C2×Q8—41no—
1114C2×Q8—44no—
1115C2×Q8—41no—
1116C2×Q8—44no—
1117C2×Q8—42no—
1118C2×Q8—44no—
1119C2×Q8—44no—
1120C2×Q8—42no—
1121C2×Q8—42no—
1122C2×Q8—42no—
1123C2×Q8—44no—
1124C2×Q8—44no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—44no—
1128C2×Q8—44no—
1129C2×Q8—44no—
1130C2×Q8—44no—
1131C2×Q8—816no—
1132C2×Q8—832no—
1133C2×Q8—832no—
1134C2×Q8C22×D4116yes—
1135C2×Q8C22×D414yes—
1136C2×Q8C22×D418yes—
1137C2×Q8C22×Q818yes—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4C22×D414yes—
1143C2×D4C22×Q8116yes—
1144C2×D4C22×Q814yes—
1145C2×D4C22×Q814yes—
1146C2×D42−1+414yes—
1147C22×C4—28no—
1148C22×C4—28no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—28no—
1152C22×C4—24no—
1153C22×C4—28no—
1154C22×C4—28no—
1155C22×C4—28no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—28no—
1160C22×C4—24no—
1161C22×C4—28no—
1162C22×C4—28no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4C22×D4116yes—
1185C22×C4C22×D418yes—
1186C22×C4C22×Q8116yes—
1187C22×C4C22×Q818yes—
1188C22×C4C22×Q818yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C4⋊C4—24no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—28no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—41no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—41no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—41no—
1291C4⋊C4—42no—
1292C4⋊C4C22×D414yes—
1293C4⋊C4C22×D418yes—
1294C4⋊C4C22×D4116yes—
1295C4⋊C4C22×D418yes—
1296C4⋊C4C22×D418yes—
1297C4⋊C4C22×D414yes—
1298C4⋊C4C22×Q814yes—
1299C4⋊C4C22×Q818yes—
1300C4⋊C4C22×Q8116yes—
1301C4⋊C4C22×Q814yes—
1302C4⋊C4C22×Q818yes—
1303C4⋊C42−1+414yes—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4C22×D418yes—
1324C22⋊C4C22×D4116yes—
1325C22⋊C4C22×Q818yes—
1326C22⋊C4C22×Q818yes—
1327C22⋊C4C22×Q8116yes—
1328C42—24no—
1329C42—28no—
1330C42—24no—
1331C42—28no—
1332C42—28no—
1333C42—24no—
1334C42—28no—
1335C42—28no—
1336C42—28no—
1337C42—28no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—24no—
1342C42—22no—
1343C42—41no—
1344C42—42no—
1345C42—42no—
1346C42—42no—
1347C42—44no—
1348C42—41no—
1349C42—41no—
1350C42—44no—
1351C42—44no—
1352C42C22×D418yes—
1353C42C22×D414yes—
1354C42C22×Q814yes—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23C23×D414yes—
1366C23C23×Q814yes—
1367C23C23×Q814yes—
1368C23C2×2−1+414yes—
1369C23C2611yescharacteristic
1370Q8—216no—
1371Q8—44no—
1372Q8—416no—
1373Q8—48no—
1374Q8—48no—
1375Q8—48no—
1376Q8—416no—
1377Q8—48no—
1378Q8—88no—
1379Q8—88no—
1380Q8—88no—
1381Q8—88no—
1382D4—232no—
1383D4—44no—
1384D4D4×Q8116yes—
1385C2×C4—24no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—232no—
1412C2×C4—216no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—21no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—48no—
1453C2×C4—416no—
1454C2×C4—48no—
1455C2×C4—48no—
1456C2×C4—416no—
1457C2×C4—48no—
1458C2×C4—48no—
1459C2×C4—88no—
1460C2×C4—88no—
1461C2×C4—88no—
1462C2×C4—88no—
1463C2×C4—88no—
1464C2×C4C23×D412yes—
1465C2×C4C23×D414yes—
1466C2×C4C23×D414yes—
1467C2×C4C23×D418yes—
1468C2×C4C23×D414yes—
1469C2×C4C23×D412yes—
1470C2×C4C23×D412yes—
1471C2×C4C23×Q812yes—
1472C2×C4C23×Q812yes—
1473C2×C4C23×Q814yes—
1474C2×C4C23×Q814yes—
1475C2×C4C23×Q818yes—
1476C2×C4C23×Q812yes—
1477C2×C4C2×2−1+412yes—
1478C2×C4C2×2−1+414yes—
1479C2×C4C2×2−1+412yes—
1480C22—24no—
1481C22—24no—
1482C22—24no—
1483C22—24no—
1484C22—24no—
1485C22—24no—
1486C22—24no—
1487C22—24no—
1488C22—24no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22C2×D4×Q818yes—
1494C22C24×D411yescharacteristic
1495C22C24×Q811yescharacteristic
1496C22C22×2−1+411yescharacteristic
1497C22C22×2−1+411yescharacteristic
1498C22H(7,𝔽2)11yescharacteristic
1499C22H(7,𝔽2)11yescharacteristic
1500C222−1+611yescharacteristic
1501C4—24no—
1502C4—24no—
1503C4—22no—
1504C4—22no—
1505C4—24no—
1506C4—22no—
1507C4—24no—
1508C4—28no—
1509C4—22no—
1510C4—24no—
1511C4—22no—
1512C4—24no—
1513C4—28no—
1514C4—44no—
1515C4—42no—
1516C4—42no—
1517C4—41no—
1518C4—44no—
1519C4—42no—
1520C4—42no—
1521C4—44no—
1522C4—44no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—42no—
1527C4C2×D4×Q814yes—
1528C2—28no—
1529C2—44no—
1530C2C22×D4×Q811yescharacteristic
1531C2#6284211yescharacteristic
1532C2#6285411yescharacteristic
1533C2#6294511yescharacteristic
1534C2D4×2−1+411yescharacteristic
1535C2Q8×2−1+411yescharacteristic
1536C2#6305811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#547C22
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×#3503C2semidirect
2. #59832C2semidirect
3. #59830C2semidirect
4. #59151C2semidirect
5. #59149C2semidirect
6. #52162C2semidirect
7. C2×#2734C2semidirect
8. #45389C2semidirect
9. #45099C2semidirect
10. #44894C2semidirect
11. #43909C2semidirect
12. #43891C2semidirect
13. #43100C2semidirect
14. #39615C2semidirect
15. #39612C2semidirect
16. #39593C2semidirect
17. #39591C2semidirect
18. #39368C2semidirect
19. #39365C2semidirect
20. #37689C2semidirect
21. #37686C2semidirect
22. #36261C2semidirect
23. #36219C2semidirect
24. #35928C2semidirect
25. #35806C2semidirect
26. #35739C2semidirect
27. #34334C2semidirect
275. D4×Q8D4semidirect
276. #547Q8semidirect
739. C2×#41C2×Q8semidirect
803. C4⋊Q8C2×Q8semidirect
816. #123C2×Q8semidirect
840. C22⋊Q8C2×Q8semidirect
841. #121C2×Q8semidirect
872. C4×D4C2×Q8semidirect
873. C4×D4C2×Q8semidirect
892. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#35032
#598322
#598302
#591512
#591492
#521622
C2×#27342
#453892
#450992
#448942
#439092
#438912
#431002
#396152
#396122
#395932
#395912
#393682
#393652
#376892
#376862
#362612
#362192
#359282
#358062
#357392
#343342
#343082
#342892