Finite Group Databasebeta

← #7987471

Subgroups — #7987471

Order 512.

4461 conjugacy classes of subgroups.

The subgroup lattice has 1561 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59871C211yesmaximal, characteristic, complemented
2#59673C211yesmaximal, characteristic, complemented
3#59673C211yesmaximal, characteristic, complemented
4#59587C212yesmaximal, complemented
5#59551C212yesmaximal, complemented
6#51789C214yesmaximal, complemented
7#51788C214yesmaximal, complemented
8#45496C214yesmaximal, complemented
9#45073C212yesmaximal, complemented
10#44997C212yesmaximal, complemented
11#44950C212yesmaximal, complemented
12#44923C212yesmaximal, complemented
13#42498C212yesmaximal
14#42493C212yesmaximal
15#42492C212yesmaximal, complemented
16#42488C212yesmaximal, complemented
17#39691C212yesmaximal, complemented
18#39683C212yesmaximal, complemented
19#39625C211yesmaximal, characteristic, complemented
20#39591C214yesmaximal, complemented
21#39497C211yesmaximal, characteristic
22#39181C211yesmaximal, characteristic, complemented
23#38964C211yesmaximal, characteristic
24#36560C211yesmaximal, characteristic, complemented
25#36447C211yesmaximal, characteristic, complemented
26#36407C211yesmaximal, characteristic
27#36133C212yesmaximal, complemented
28#36132C212yesmaximal
29#35175C212yesmaximal
30#35159C212yesmaximal, complemented
31#34920C211yesmaximal, characteristic, complemented
32#34893C211yesmaximal, characteristic
33#34484C211yesmaximal, characteristic
34#34484C211yesmaximal, characteristic
35C4×#554C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#554C2211yescharacteristic
38C2×#533C2214yes—
39#2868C2211yescharacteristic
40#2859C2212yes—
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2857C2212yes—
44#2855C2214yes—
45#2851C2214yes—
46#2851C2214yes—
47#2841C2214yes—
48#2841C2214yes—
49#2807C2214yes—
50#2806C2214yes—
51#2806C2214yes—
52#2806C2214yes—
53#2805C2214yes—
54#2802C2214yes—
55#2799C2214yes—
56#2799C2214yes—
57#2792C2214yes—
58#2792C2214yes—
59#2791C2214yes—
60#2791C2214yes—
61#2790C2214yes—
62#2790C2214yes—
63#2790C2214yes—
64#2788C2214yes—
65#2774C2214yes—
66#2774C2214yes—
67#2774C2214yes—
68#2768C2214yes—
69#2763C2214yes—
70#2763C2214yes—
71#2755C2214yes—
72#2755C2214yes—
73#2755C2214yes—
74#2734C2214yes—
75#2734C2214yes—
76#2729C2214yes—
77#2729C2214yes—
78#2720C2214yes—
79#2720C2214yes—
80#2713C2214yes—
81#2713C2214yes—
82#2667C2214yes—
83#2665C2214yes—
84#2660C2212yes—
85#2647C2212yes—
86#2646C2214yes—
87#2646C2214yes—
88#2629C2214yes—
89#2629C2212yes—
90#2628C2212yes—
91#2628C2214yes—
92#2590C2214yes—
93#2590C2212yes—
94#2589C2212yes—
95#2589C2214yes—
96#2588C2214yes—
97#2588C2212yes—
98#2587C2212yes—
99#2587C2214yes—
100#2586C2214yes—
101#2585C2214yes—
102#2584C2214yes—
103#2584C2212yes—
104#2584C2214yes—
105#2584C2211yescharacteristic
106#2584C2212yes—
107#2584C2211yescharacteristic
108#2582C2214yes—
109#2581C2212yes—
110#2581C2214yes—
111#2581C2214yes—
112#2581C2211yescharacteristic
113#2580C2212yes—
114#2580C2211yescharacteristic
115#2574C2214yes—
116#2574C2214yes—
117#2571C2211yescharacteristic
118#2571C2212yes—
119#2571C2211yescharacteristic
120#2570C2212yes—
121#2568C2212yes—
122#2567C2212yes—
123#2567C2212yes—
124#2567C2214yes—
125#2567C2212yes—
126#2566C2211yescharacteristic
127#2566C2212yes—
128#2565C2212yes—
129#2565C2211yescharacteristic
130#2565C2212yes—
131#2556C2214yes—
132#2556C2214yes—
133#2552C2212yes—
134#2552C2212yes—
135#2552C2211yescharacteristic
136#2552C2211yescharacteristic
137#2551C2212yes—
138#2551C2211yescharacteristic
139#2551C2211yescharacteristic
140#2551C2212yes—
141#2551C2212yes—
142#2550C2212yes—
143#2550C2212yes—
144#2550C2211yescharacteristic
145#2550C2212yes—
146#2550C2212yes—
147#2550C2212yes—
148#2550C2211yescharacteristic
149#2550C2212yes—
150#2546C2212yes—
151#2546C2212yes—
152#2546C2212yes—
153#2522C2212yes—
154#2520C2214yes—
155#2520C2214yes—
156#2520C2212yes—
157#2509C2212yes—
158#2509C2211yescharacteristic
159#2509C2212yes—
160#2509C2212yes—
161#2509C2214yes—
162#2509C2212yes—
163#2509C2212yes—
164#2508C2212yes—
165#2508C2212yes—
166#2508C2212yes—
167#2508C2212yes—
168#2508C2212yes—
169#2508C2214yes—
170#2508C2211yescharacteristic
171#2508C2214yes—
172#2508C2212yes—
173#2507C2212yes—
174#2507C2212yes—
175#2507C2214yes—
176#2507C2211yescharacteristic
177#2507C2212yes—
178#2507C2212yes—
179#2506C2212yes—
180#2506C2214yes—
181#2506C2212yes—
182#2506C2212yes—
183#2506C2211yescharacteristic
184#2506C2212yes—
185#2506C2214yes—
186#2506C2212yes—
187#2465C2214yes—
188#2465C2214yes—
189#2465C2214yes—
190#2465C2214yes—
191#2465C2212yes—
192#2462C2214yes—
193#2462C2214yes—
194#2462C2212yes—
195#2454C2212yes—
196#2454C2211yescharacteristic
197#2453C2211yescharacteristic
198#2452C2212yes—
199#2452C2211yescharacteristic
200#2452C2212yes—
201#2452C2212yes—
202#2451C2212yes—
203#2451C2214yes—
204#2451C2211yescharacteristic
205#2451C2212yes—
206#2446C2214yes—
207#2441C2212yes—
208#2440C2212yes—
209#2440C2212yes—
210#2439C2214yes—
211#2439C2214yes—
212#2439C2212yes—
213#2439C2212yes—
214#2439C2212yes—
215#2438C2214yes—
216#2438C2214yes—
217#2402C2212yes—
218#2399C2212yes—
219#2396C2212yes—
220#2396C2212yes—
221#2378C2214yes—
222#2378C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2369C2212yes—
228#2369C2211yescharacteristic
229#2369C2211yescharacteristic
230#2369C2211yescharacteristic
231#2368C2214yes—
232#2365C2212yes—
233#2365C2212yes—
234#2365C2212yes—
235#2365C2212yes—
236#2365C2212yes—
237#2365C2212yes—
238#2365C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2360C2212yes—
242#2355C2211yescharacteristic
243#2355C2214yes—
244#2354C2212yes—
245#2354C2212yes—
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2351C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2212yes—
251Q8×C4⋊C4C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253#2349C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255#2345C2212yes—
256#2344C2212yes—
257#2344C2212yes—
258#2331C2212yes—
259#2330C2212yes—
260#2330C2212yes—
261#2330C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2214yes—
265#2323C2214yes—
266#2319C2212yes—
267#2319C2212yes—
268#2317C2212yes—
269#2317C2212yes—
270#2316C2212yes—
271#2316C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#125C2212yes—
283C4×#125C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2214yes—
287#2296C2212yes—
288#2296C2212yes—
289#2295C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299#557—48no—
300#554Q8116yescomplemented
301#533—416no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C4×Q8C2314yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2314yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C42C2314yes—
365C22×C42C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#399C2312yes—
389#399C2314yes—
390#399C2314yes—
391#399C2312yes—
392#398C2312yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#396C2314yes—
431#396C2312yes—
432#396C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#395C2312yes—
441#395C2312yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2312yes—
456#395C2312yes—
457#395C2312yes—
458#395C2314yes—
459#395C2312yes—
460#395C2314yes—
461#395C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2312yes—
465#393C2314yes—
466#393C2312yes—
467#393C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2314yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2311yescharacteristic
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2314yes—
701#384C2312yes—
702#384C2314yes—
703#384C2312yes—
704#384C2314yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2314yes—
721#382C2314yes—
722#382C2314yes—
723#382C2314yes—
724#382C2314yes—
725#381C2314yes—
726#381C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2414yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2412yes—
826C23×C4C2414yes—
827C4⋊Q8—24no—
828C4⋊Q8—28no—
829C4⋊Q8—44no—
830C4⋊Q8—44no—
831C4⋊Q8—42no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—48no—
836C4⋊Q8—44no—
837C4⋊Q8—48no—
838C4⋊Q8—48no—
839C4⋊Q8C2×Q818yes—
840#125—28no—
841#125—24no—
842#125—42no—
843#125—44no—
844#125—42no—
845#125—42no—
846#125—44no—
847#125—48no—
848#125—48no—
849#125—48no—
850#125—44no—
851#125—44no—
852#125C2×Q8116yes—
853C22⋊Q8—28no—
854C22⋊Q8—48no—
855C22⋊Q8—48no—
856C22⋊Q8—48no—
857C22⋊Q8C2×Q8132yes—
858C22⋊Q8C2×Q8116yes—
859C4×Q8—216no—
860C4×Q8—24no—
861C4×Q8—44no—
862C4×Q8—42no—
863C4×Q8—44no—
864C4×Q8—42no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—48no—
869C4×Q8—48no—
870C4×Q8—42no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×Q8—48no—
875C4×Q8C2×Q818yes—
876C4×D4—24no—
877C4×D4—42no—
878C4×D4—44no—
879C4×D4C2×Q8116yes—
880C4×D4C2×Q818yes—
881#117—44no—
882#117—44no—
883#117—48no—
884#117—48no—
885#117—44no—
886#117—44no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4C2×Q8116yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C42—48no—
1010C2×C42—44no—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2412yes—
1086#95C2412yes—
1087#95C2411yescharacteristic
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140C24C2512yes—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—28no—
1144C2×Q8—24no—
1145C2×Q8—28no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—41no—
1151C2×Q8—41no—
1152C2×Q8—42no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—42no—
1163C2×Q8C22×Q814yes—
1164C2×Q8C22×Q818yes—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4C22×Q814yes—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—44no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—42no—
1177C22×C4—44no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4C22×Q818yes—
1182C22×C4C22×Q8116yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—44no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—41no—
1275C4⋊C4—42no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—42no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4C22×Q814yes—
1312C4⋊C4C22×Q8116yes—
1313C4⋊C4C22×Q818yes—
1314C4⋊C4C22×Q814yes—
1315C4⋊C4C22×Q818yes—
1316C4⋊C4C22×Q818yes—
1317C4⋊C4C22×Q8116yes—
1318C4⋊C4H(5,𝔽2)14yes—
1319C4⋊C42−1+414yes—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4C22×Q8116yes—
1336C22⋊C4C22×Q818yes—
1337C42—24no—
1338C42—28no—
1339C42—28no—
1340C42—28no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—24no—
1348C42—22no—
1349C42—24no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—22no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—24no—
1360C42—22no—
1361C42—22no—
1362C42—42no—
1363C42—42no—
1364C42—44no—
1365C42—44no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—42no—
1370C42—44no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—42no—
1375C42—44no—
1376C42—44no—
1377C42—42no—
1378C42C22×Q818yes—
1379C42C22×Q814yes—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23C23×Q814yes—
1387C23C2611yescharacteristic
1388Q8—28no—
1389Q8—48no—
1390Q8—48no—
1391Q8—44no—
1392Q8—88no—
1393Q8—88no—
1394Q8—88no—
1395Q8—84no—
1396D4—28no—
1397C2×C4—24no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—216no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—24no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—416no—
1486C2×C4—48no—
1487C2×C4—88no—
1488C2×C4—84no—
1489C2×C4C23×Q814yes—
1490C2×C4C23×Q812yes—
1491C2×C4C23×Q814yes—
1492C2×C4C23×Q814yes—
1493C2×C4C23×Q818yes—
1494C2×C4C23×Q812yes—
1495C2×C4C23×Q812yes—
1496C2×C4C2×H(5,𝔽2)12yes—
1497C2×C4C2×H(5,𝔽2)12yes—
1498C2×C4C2×H(5,𝔽2)12yes—
1499C2×C4C2×2−1+414yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4#58512yes—
1502C2×C4#58512yes—
1503C2×C4#58512yes—
1504C22—24no—
1505C22—24no—
1506C22—24no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22C24×Q811yescharacteristic
1512C22C22×H(5,𝔽2)11yescharacteristic
1513C22C22×2−1+411yescharacteristic
1514C22C2×#58511yescharacteristic
1515C22C2×#58511yescharacteristic
1516C22C2×#58511yescharacteristic
1517C222−1+611yescharacteristic
1518C4—24no—
1519C4—28no—
1520C4—22no—
1521C4—22no—
1522C4—24no—
1523C4—22no—
1524C4—22no—
1525C4—24no—
1526C4—24no—
1527C4—41no—
1528C4—42no—
1529C4—44no—
1530C4—42no—
1531C4—42no—
1532C4—44no—
1533C4—41no—
1534C4—41no—
1535C4—44no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—41no—
1540C4—42no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—42no—
1549C4—42no—
1550C4#350214yes—
1551C4#350414yes—
1552C2—44no—
1553C2#6275911yescharacteristic
1554C2C2×#350211yescharacteristic
1555C2C2×#350411yescharacteristic
1556C2#6293611yescharacteristic
1557C2#6295311yescharacteristic
1558C2Q8×H(5,𝔽2)11yescharacteristic
1559C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59871C2semidirect
2. #59673C2semidirect
3. #59673C2semidirect
4. #59587C2semidirect
5. #59551C2semidirect
6. #51789C2semidirect
7. #51788C2semidirect
8. #45496C2semidirect
9. #45073C2semidirect
10. #44997C2semidirect
11. #44950C2semidirect
12. #44923C2semidirect
15. #42492C2semidirect
16. #42488C2semidirect
17. #39691C2semidirect
18. #39683C2semidirect
19. #39625C2semidirect
20. #39591C2semidirect
22. #39181C2semidirect
24. #36560C2semidirect
25. #36447C2semidirect
27. #36133C2semidirect
30. #35159C2semidirect
31. #34920C2semidirect
300. #554Q8semidirect

Maximal subgroups

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

subgroupindex
#598712
#596732
#595872
#595512
#517892
#517882
#454962
#450732
#449972
#449502
#449232
#424982
#424932
#424922
#424882
#396912
#396832
#396252
#395912
#394972
#391812
#389642
#365602
#364472
#364072
#361332
#361322
#351752
#351592
#349202
#348932
#344842
C4×#5542