Finite Group Databasebeta

← #7689527

Subgroups — #7689527

Order 512.

4998 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59766C212yesmaximal, complemented
2#59445C211yesmaximal, characteristic, complemented
3#59441C212yesmaximal, complemented
4#59321C211yesmaximal, characteristic, complemented
5#59288C212yesmaximal, complemented
6#59262C211yesmaximal, characteristic, complemented
7#59254C212yesmaximal, complemented
8#59161C214yesmaximal, complemented
9#45339C212yesmaximal, complemented
10#45178C212yesmaximal, complemented
11#43977C214yesmaximal, complemented
12#43669C214yesmaximal, complemented
13#39480C211yesmaximal, characteristic, complemented
14#39476C212yesmaximal, complemented
15#38976C211yesmaximal, characteristic, complemented
16#38973C212yesmaximal, complemented
17#38261C212yesmaximal, complemented
18#38259C214yesmaximal, complemented
19#36290C211yesmaximal, characteristic, complemented
20#36287C211yesmaximal, characteristic, complemented
21#36275C211yesmaximal, characteristic, complemented
22#36275C211yesmaximal, characteristic, complemented
23#36256C212yesmaximal, complemented
24#36199C212yesmaximal, complemented
25#36181C211yesmaximal, characteristic, complemented
26D4×#125C212yesmaximal, complemented
27#35998C212yesmaximal
28#35888C212yesmaximal, complemented
29#34793C211yesmaximal, characteristic, complemented
30C2×#2506C212yesmaximal, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34260C212yesmaximal, complemented
33#34183C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic
35#34127C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#552C2212yes—
38C2×#547C2211yescharacteristic
39C22×#125C2214yes—
40C2×#520C2212yes—
41C2×C4×#41C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43#2859C2212yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2855C2212yes—
49#2851C2214yes—
50#2851C2212yes—
51#2794C2214yes—
52#2793C2214yes—
53#2791C2214yes—
54#2791C2214yes—
55#2777C2214yes—
56#2776C2214yes—
57#2774C2214yes—
58#2773C2214yes—
59#2773C2214yes—
60#2771C2214yes—
61#2769C2214yes—
62#2767C2214yes—
63#2766C2214yes—
64#2766C2214yes—
65#2765C2214yes—
66#2762C2214yes—
67#2738C2214yes—
68#2721C2214yes—
69#2719C2214yes—
70#2694C2214yes—
71#2690C2214yes—
72#2645C2212yes—
73#2643C2214yes—
74#2625C2212yes—
75#2623C2214yes—
76#2612C2214yes—
77#2611C2214yes—
78#2611C2214yes—
79#2606C2214yes—
80#2585C2214yes—
81#2582C2211yescharacteristic
82#2582C2211yescharacteristic
83#2573C2214yes—
84#2571C2211yescharacteristic
85#2570C2212yes—
86#2570C2212yes—
87#2567C2211yescharacteristic
88#2567C2211yescharacteristic
89#2565C2212yes—
90#2565C2212yes—
91#2558C2214yes—
92#2556C2214yes—
93#2552C2212yes—
94#2552C2212yes—
95#2552C2211yescharacteristic
96#2533C2214yes—
97#2533C2214yes—
98#2530C2212yes—
99#2528C2214yes—
100#2528C2214yes—
101#2528C2212yes—
102#2524C2214yes—
103#2524C2214yes—
104#2519C2214yes—
105#2517C2212yes—
106#2514C2212yes—
107#2514C2212yes—
108#2511C2212yes—
109#2511C2212yes—
110#2511C2212yes—
111#2511C2211yescharacteristic
112#2510C2214yes—
113#2509C2212yes—
114#2508C2212yes—
115#2508C2212yes—
116#2507C2212yes—
117#2506C2212yes—
118#2506C2212yes—
119#2506C2212yes—
120#2506C2212yes—
121#2506C2214yes—
122#2506C2214yes—
123#2506C2212yes—
124#2506C2212yes—
125#2506C2212yes—
126#2506C2212yes—
127#2506C2214yes—
128#2506C2212yes—
129#2506C2214yes—
130#2506C2212yes—
131#2506C2212yes—
132#2506C2211yescharacteristic
133#2505C2214yes—
134#2503C2212yes—
135#2502C2212yes—
136#2499C2211yescharacteristic
137#2499C2212yes—
138#2498C2214yes—
139#2497C2212yes—
140#2496C2212yes—
141#2496C2212yes—
142#2495C2212yes—
143#2495C2212yes—
144#2495C2212yes—
145#2494C2212yes—
146#2494C2211yescharacteristic
147#2493C2214yes—
148#2493C2214yes—
149#2493C2214yes—
150#2489C2211yescharacteristic
151#2487C2212yes—
152#2487C2212yes—
153#2486C2212yes—
154#2486C2212yes—
155#2485C2211yescharacteristic
156#2484C2214yes—
157#2481C2214yes—
158#2481C2214yes—
159#2475C2214yes—
160#2473C2214yes—
161#2473C2214yes—
162#2473C2214yes—
163#2473C2214yes—
164#2473C2214yes—
165#2473C2214yes—
166#2462C2214yes—
167#2460C2212yes—
168#2453C2212yes—
169#2453C2212yes—
170#2449C2214yes—
171#2449C2214yes—
172#2446C2212yes—
173#2446C2212yes—
174#2443C2214yes—
175#2443C2214yes—
176#2442C2214yes—
177#2442C2214yes—
178#2442C2212yes—
179#2442C2212yes—
180#2442C2212yes—
181#2441C2212yes—
182#2441C2212yes—
183#2441C2212yes—
184#2441C2211yescharacteristic
185#2438C2214yes—
186#2438C2214yes—
187#2423C2212yes—
188#2423C2212yes—
189#2423C2212yes—
190#2419C2214yes—
191#2419C2214yes—
192#2417C2212yes—
193#2417C2212yes—
194#2415C2211yescharacteristic
195#2401C2212yes—
196#2395C2212yes—
197C2×#400C2214yes—
198C2×#398C2214yes—
199#2371C2214yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2369C2211yescharacteristic
204#2365C2211yescharacteristic
205#2362C2211yescharacteristic
206#2362C2211yescharacteristic
207#2361C2212yes—
208#2360C2214yes—
209#2360C2212yes—
210#2360C2212yes—
211#2359C2212yes—
212#2359C2212yes—
213#2356C2212yes—
214#2356C2212yes—
215#2355C2212yes—
216#2355C2211yescharacteristic
217#2355C2211yescharacteristic
218#2354C2211yescharacteristic
219#2353C2214yes—
220#2352C2214yes—
221#2352C2212yes—
222#2352C2212yes—
223Q8×C4⋊C4C2212yes—
224Q8×C4⋊C4C2211yescharacteristic
225Q8×C4⋊C4C2211yescharacteristic
226Q8×C4⋊C4C2211yescharacteristic
227#2349C2212yes—
228D4×C4⋊C4C2211yescharacteristic
229D4×C4⋊C4C2212yes—
230D4×C4⋊C4C2212yes—
231D4×C4⋊C4C2212yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2214yes—
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240#2347C2212yes—
241#2346C2212yes—
242#2345C2212yes—
243#2345C2212yes—
244#2344C2212yes—
245#2344C2212yes—
246#2344C2212yes—
247#2343C2214yes—
248#2343C2214yes—
249#2343C2214yes—
250#2339C2211yescharacteristic
251#2339C2212yes—
252#2339C2212yes—
253#2339C2211yescharacteristic
254#2339C2212yes—
255#2330C2212yes—
256#2329C2214yes—
257#2320C2212yes—
258#2318C2214yes—
259#2317C2214yes—
260#2317C2212yes—
261#2314C2212yes—
262#2313C2214yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#125C2212yes—
266C4×#125C2211yescharacteristic
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×#123C2212yes—
273C4×#123C2212yes—
274C4×#121C2212yes—
275#2298C2212yes—
276#2295C2211yescharacteristic
277#2295C2212yes—
278#2295C2212yes—
279C2×#389C2212yes—
280C2×#389C2212yes—
281C2×#389C2212yes—
282C2×#389C2212yes—
283#2290C2214yes—
284#2290C2214yes—
285C2×#387C2214yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2212yes—
289C2×#384C2212yes—
290C2×#384C2211yescharacteristic
291#2283C2212yes—
292#2275C2212yes—
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301#554—28no—
302#552—48no—
303#547—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#126C2314yes—
307C2×#125—416no—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×#121C2312yes—
332#520—216no—
333C4×#41—28no—
334C4×#41—28no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2314yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2314yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2314yes—
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2314yes—
386C22×C4⋊C4C2314yes—
387C22×C42C2312yes—
388C22×C42C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2314yes—
392C22×C42C2312yes—
393#401C2314yes—
394#401C2314yes—
395#401C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#395C2314yes—
468#395C2314yes—
469#394C2312yes—
470#394C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#390C2312yes—
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2314yes—
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2314yes—
686#384C2312yes—
687#384C2311yescharacteristic
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#381C2312yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2314yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41#4118yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851#126—48no—
852#125—28no—
853#125—28no—
854#125—216no—
855#125—24no—
856#125—48no—
857#125—48no—
858#125—44no—
859#125—44no—
860#125—48no—
861#125—48no—
862#125—48no—
863#125—48no—
864#123—28no—
865#123—28no—
866#123—48no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—24no—
871C22⋊Q8—216no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—42no—
875#121—28no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—216no—
888C4×D4—216no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—42no—
902C4×D4#4118yes—
903#117—216no—
904#117—28no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—28no—
909#117—28no—
910#117—44no—
911#117—48no—
912#117—42no—
913C2×C4⋊C4—216no—
914C2×C4⋊C4—28no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—48no—
923C2×C4⋊C4—48no—
924C2×C4⋊C4—48no—
925C2×C4⋊C4—48no—
926C2×C4⋊C4—48no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—28no—
1044C2×C42—28no—
1045C2×C42—24no—
1046C2×C42—24no—
1047C2×C42—48no—
1048C2×C42—44no—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2414yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24C2511yescharacteristic
1172C24C2511yescharacteristic
1173C24C2512yes—
1174#41—232no—
1175#41—416no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8C2×#4114yes—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—41no—
1196C2×D4C2×#4118yes—
1197C2×D4C2×#4114yes—
1198C2×D4C2×#4114yes—
1199C2×D42−1+414yes—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—24no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—28no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—28no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4C2×#4118yes—
1252C22×C4C2×#4118yes—
1253C22×C4C2×#4114yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—41no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4C2×#4114yes—
1367C4⋊C4H(5,𝔽2)14yes—
1368C4⋊C42−1+414yes—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4C2×#4118yes—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—24no—
1408C42—22no—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—24no—
1413C42—28no—
1414C42—28no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—28no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—42no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—42no—
1433C42—41no—
1434C42—44no—
1435C42—42no—
1436C42—44no—
1437C42—44no—
1438C42C2×#4114yes—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23C22×#4112yes—
1457C23C22×#4114yes—
1458C23C22×#4114yes—
1459C23C2×2−1+414yes—
1460C23C2611yescharacteristic
1461Q8—28no—
1462Q8—44no—
1463Q8—44no—
1464Q8—84no—
1465D4—216no—
1466D4—44no—
1467D4—48no—
1468D4#552116yescomplemented
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—216no—
1486C2×C4—28no—
1487C2×C4—216no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—48no—
1557C2×C4—48no—
1558C2×C4—416no—
1559C2×C4—48no—
1560C2×C4—48no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—88no—
1565C2×C4—88no—
1566C2×C4—88no—
1567C2×C4—88no—
1568C2×C4—84no—
1569C2×C4C22×#4114yes—
1570C2×C4C22×#4114yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4112yes—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4112yes—
1575C2×C4C22×#4112yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×H(5,𝔽2)12yes—
1578C2×C4C2×H(5,𝔽2)12yes—
1579C2×C4C2×2−1+414yes—
1580C2×C4C2×2−1+412yes—
1581C2×C4C2×2−1+412yes—
1582C2×C4#58512yes—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—24no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22C2×#55218yes—
1604C22C23×#4111yescharacteristic
1605C22C23×#4111yescharacteristic
1606C22C22×H(5,𝔽2)11yescharacteristic
1607C22C22×2−1+411yescharacteristic
1608C22C22×2−1+411yescharacteristic
1609C22C2×#58511yescharacteristic
1610C222−1+611yescharacteristic
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—24no—
1615C4—24no—
1616C4—22no—
1617C4—22no—
1618C4—24no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—44no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—44no—
1628C4—41no—
1629C4—41no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—42no—
1634C4—44no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4C2×#55214yes—
1642C4#351514yes—
1643C2—28no—
1644C2—42no—
1645C2—81no—
1646C2C22×#55211yescharacteristic
1647C2C2×#351511yescharacteristic
1648C2#6280011yescharacteristic
1649C2#6295011yescharacteristic
1650C2#6298511yescharacteristic
1651C2#6300111yescharacteristic
1652C2#6301611yescharacteristic
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. #59766C2semidirect
2. #59445C2semidirect
3. #59441C2semidirect
4. #59321C2semidirect
5. #59288C2semidirect
6. #59262C2semidirect
7. #59254C2semidirect
8. #59161C2semidirect
9. #45339C2semidirect
10. #45178C2semidirect
11. #43977C2semidirect
12. #43669C2semidirect
13. #39480C2semidirect
14. #39476C2semidirect
15. #38976C2semidirect
16. #38973C2semidirect
17. #38261C2semidirect
18. #38259C2semidirect
19. #36290C2semidirect
20. #36287C2semidirect
21. #36275C2semidirect
22. #36275C2semidirect
23. #36256C2semidirect
24. #36199C2semidirect
25. #36181C2semidirect
26. D4×#125C2semidirect
28. #35888C2semidirect
29. #34793C2semidirect
30. C2×#2506C2semidirect
31. #34332C2semidirect
32. #34260C2semidirect
33. #34183C2semidirect
35. #34127C2semidirect
1468. D4#552semidirect

Maximal subgroups

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

subgroupindex
#597662
#594452
#594412
#593212
#592882
#592622
#592542
#591612
#453392
#451782
#439772
#436692
#394802
#394762
#389762
#389732
#382612
#382592
#362902
#362872
#362752
#362562
#361992
#361812
D4×#1252
#359982
#358882
#347932
C2×#25062
#343322
#342602
#341832
C4×#5472
#341272