Finite Group Databasebeta

← #7689525

Subgroups — #7689525

Order 512.

6040 conjugacy classes of subgroups.

The subgroup lattice has 1860 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59750C212yesmaximal, complemented
2#59696C212yesmaximal, complemented
3#59668C211yesmaximal, characteristic, complemented
4#59115C212yesmaximal, complemented
5#59097C214yesmaximal, complemented
6#59056C212yesmaximal, complemented
7#59056C211yesmaximal, characteristic, complemented
8#59056C211yesmaximal, characteristic, complemented
9#45408C212yesmaximal, complemented
10#45036C212yesmaximal, complemented
11#44265C214yesmaximal, complemented
12#44158C214yesmaximal, complemented
13#40126C212yesmaximal, complemented
14#40116C212yesmaximal, complemented
15#39386C211yesmaximal, characteristic, complemented
16#38942C211yesmaximal, characteristic, complemented
17#38822C214yesmaximal, complemented
18#38286C212yesmaximal, complemented
19#36472C211yesmaximal, characteristic, complemented
20#36462C212yesmaximal, complemented
21#36369C212yesmaximal, complemented
22#36273C211yesmaximal, characteristic, complemented
23#36128C211yesmaximal, characteristic, complemented
24#36128C211yesmaximal, characteristic, complemented
25#36126C211yesmaximal, characteristic, complemented
26#36125C212yesmaximal, complemented
27#35941C212yesmaximal, complemented
28#35768C212yesmaximal, complemented
29#34925C212yesmaximal, complemented
30#34800C211yesmaximal, characteristic, complemented
31#34321C211yesmaximal, characteristic, complemented
32#34287C212yesmaximal, complemented
33#34236C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#555C2212yes—
38C2×#553C2211yescharacteristic
39C2×#553C2212yes—
40C2×#550C2212yes—
41C2×#550C2212yes—
42C2×#547C2212yes—
43C2×#540C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2214yes—
47C2×#532C2212yes—
48C2×#532C2212yes—
49#2867C2211yescharacteristic
50#2860C2212yes—
51#2858C2212yes—
52#2856C2212yes—
53#2856C2211yescharacteristic
54#2856C2211yescharacteristic
55#2854C2212yes—
56#2850C2214yes—
57#2806C2214yes—
58#2803C2214yes—
59#2803C2214yes—
60#2756C2214yes—
61#2756C2214yes—
62#2756C2214yes—
63#2756C2214yes—
64#2733C2214yes—
65#2733C2214yes—
66#2733C2214yes—
67#2733C2214yes—
68#2714C2214yes—
69#2699C2214yes—
70#2699C2214yes—
71#2699C2214yes—
72#2686C2214yes—
73#2682C2214yes—
74#2673C2214yes—
75#2673C2214yes—
76#2673C2214yes—
77#2673C2214yes—
78#2661C2214yes—
79#2661C2214yes—
80#2641C2212yes—
81#2619C2212yes—
82#2610C2214yes—
83#2603C2214yes—
84#2602C2214yes—
85#2593C2214yes—
86#2584C2212yes—
87#2572C2214yes—
88#2560C2214yes—
89#2559C2214yes—
90#2559C2214yes—
91#2555C2214yes—
92#2555C2214yes—
93#2555C2214yes—
94#2554C2214yes—
95#2554C2214yes—
96#2552C2211yescharacteristic
97#2551C2211yescharacteristic
98#2551C2212yes—
99#2550C2212yes—
100#2548C2212yes—
101#2548C2212yes—
102#2546C2212yes—
103#2543C2214yes—
104#2541C2212yes—
105#2541C2211yescharacteristic
106#2541C2211yescharacteristic
107#2541C2212yes—
108#2541C2211yescharacteristic
109#2541C2212yes—
110#2541C2212yes—
111#2541C2212yes—
112#2541C2212yes—
113#2541C2212yes—
114#2541C2212yes—
115#2541C2211yescharacteristic
116#2541C2212yes—
117#2541C2214yes—
118#2537C2212yes—
119#2532C2212yes—
120#2526C2212yes—
121#2518C2214yes—
122#2518C2212yes—
123#2513C2211yescharacteristic
124#2508C2211yescharacteristic
125#2507C2212yes—
126#2507C2212yes—
127#2500C2212yes—
128#2500C2211yescharacteristic
129#2497C2211yescharacteristic
130#2491C2212yes—
131#2491C2214yes—
132#2491C2212yes—
133#2491C2214yes—
134#2491C2211yescharacteristic
135#2491C2212yes—
136#2490C2212yes—
137#2490C2212yes—
138#2485C2211yescharacteristic
139#2476C2214yes—
140#2476C2214yes—
141#2474C2214yes—
142#2464C2214yes—
143#2464C2214yes—
144#2464C2214yes—
145#2464C2214yes—
146#2464C2214yes—
147#2461C2214yes—
148#2461C2214yes—
149#2459C2214yes—
150#2459C2212yes—
151#2456C2214yes—
152#2452C2212yes—
153#2451C2214yes—
154#2445C2212yes—
155#2445C2212yes—
156#2445C2212yes—
157#2445C2214yes—
158#2439C2211yescharacteristic
159#2432C2214yes—
160#2431C2214yes—
161#2431C2212yes—
162#2431C2212yes—
163#2431C2214yes—
164#2431C2214yes—
165#2431C2214yes—
166#2431C2214yes—
167#2430C2214yes—
168#2430C2214yes—
169#2428C2212yes—
170#2428C2212yes—
171#2428C2212yes—
172#2428C2212yes—
173#2428C2212yes—
174#2428C2212yes—
175#2428C2212yes—
176#2428C2212yes—
177#2428C2214yes—
178#2428C2212yes—
179#2428C2212yes—
180#2428C2212yes—
181#2428C2212yes—
182#2428C2212yes—
183#2428C2214yes—
184#2428C2212yes—
185#2428C2214yes—
186#2428C2214yes—
187#2428C2212yes—
188#2422C2212yes—
189#2420C2212yes—
190#2416C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2214yes—
194#2414C2212yes—
195#2414C2212yes—
196#2414C2214yes—
197#2414C2212yes—
198#2414C2211yescharacteristic
199#2414C2212yes—
200#2414C2212yes—
201#2398C2212yes—
202#2392C2212yes—
203#2388C2214yes—
204#2388C2214yes—
205#2374C2214yes—
206#2374C2212yes—
207#2373C2212yes—
208#2372C2214yes—
209#2370C2212yes—
210#2370C2211yescharacteristic
211#2369C2211yescharacteristic
212#2369C2211yescharacteristic
213#2369C2212yes—
214#2369C2211yescharacteristic
215#2367C2214yes—
216#2366C2211yescharacteristic
217#2366C2211yescharacteristic
218#2366C2212yes—
219#2366C2211yescharacteristic
220#2366C2212yes—
221#2366C2212yes—
222#2366C2211yescharacteristic
223#2364C2214yes—
224#2364C2212yes—
225#2363C2212yes—
226#2363C2212yes—
227#2363C2214yes—
228#2363C2212yes—
229#2363C2212yes—
230#2363C2212yes—
231#2363C2211yescharacteristic
232#2363C2212yes—
233#2363C2212yes—
234#2363C2212yes—
235#2363C2212yes—
236#2363C2212yes—
237#2363C2214yes—
238#2361C2212yes—
239#2361C2211yescharacteristic
240#2361C2212yes—
241#2361C2212yes—
242#2361C2212yes—
243#2361C2212yes—
244#2359C2214yes—
245#2357C2212yes—
246#2357C2211yescharacteristic
247#2354C2211yescharacteristic
248#2353C2212yes—
249#2352C2211yescharacteristic
250#2349C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252#2347C2212yes—
253#2347C2212yes—
254#2347C2211yescharacteristic
255#2345C2211yescharacteristic
256#2339C2214yes—
257#2337C2214yes—
258#2337C2214yes—
259#2335C2214yes—
260#2333C2214yes—
261#2324C2212yes—
262#2319C2212yes—
263#2319C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2212yes—
267C4×#125C2211yescharacteristic
268C4×#126C2212yes—
269C4×#124C2212yes—
270C4×#123C2214yes—
271C4×#123C2212yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2211yescharacteristic
276C4×#121C2214yes—
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281#2298C2212yes—
282#2297C2214yes—
283#2296C2212yes—
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2293C2212yes—
287#2293C2212yes—
288#2283C2211yescharacteristic
289#2275C2212yes—
290#2274C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C22×#41C2314yes—
303#555—28no—
304#555—48no—
305#553—28no—
306#553—48no—
307#550—48no—
308#550—48no—
309#547—48no—
310#540—216no—
311#532—28no—
312#532—28no—
313#532—416no—
314#532—48no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2314yes—
332C2×#127C2314yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2314yes—
336C2×#126C2312yes—
337C2×#126C2314yes—
338C2×#125C2312yes—
339C2×#125C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2314yes—
345C2×#124C2314yes—
346C2×#124C2314yes—
347C2×#124C2314yes—
348C2×#124C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2311yescharacteristic
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2314yes—
434C2×#117C2312yes—
435C2×#117C2311yescharacteristic
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2312yes—
441C2×#117C2314yes—
442C2×#117C2311yescharacteristic
443C2×#117C2314yes—
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2314yes—
450C22×C42C2312yes—
451C22×C42C2312yes—
452#400C2312yes—
453#400C2312yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2312yes—
503#393C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#391C2314yes—
537#391C2312yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2314yes—
568#390C2311yescharacteristic
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2311yescharacteristic
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#383C2312yes—
720#383C2314yes—
721#383C2312yes—
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#381C2314yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815#376C2312yes—
816#376C2312yes—
817#376C2312yes—
818C2×#95C2312yes—
819C2×#95C2314yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C43C2312yes—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—48no—
826C2×#41—44no—
827C2×#41—48no—
828C2×#41—48no—
829C2×#41—44no—
830C2×#41—48no—
831C2×#41—48no—
832C2×#41—48no—
833C2×#41—82no—
834C2×#41—82no—
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×Q8C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C4⋊Q8—24no—
888C4⋊Q8—28no—
889C4⋊Q8—44no—
890C4⋊Q8—48no—
891C4⋊Q8#4118yescomplemented
892#127—24no—
893#127—24no—
894#127—28no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—44no—
902#127—44no—
903#127—48no—
904#127—48no—
905#127—84no—
906#127—82no—
907#126—28no—
908#126—48no—
909#125—44no—
910#125#4118yescomplemented
911#124—28no—
912#124—28no—
913#124—216no—
914#124—28no—
915#124—48no—
916#124—48no—
917#124—48no—
918#124—48no—
919#124—48no—
920#123—216no—
921#123—216no—
922#123—28no—
923#123—48no—
924#123—48no—
925#123—48no—
926C22⋊Q8—48no—
927#121—28no—
928#121—28no—
929#121—28no—
930#121—28no—
931#121—216no—
932#121—216no—
933#121—28no—
934#121—28no—
935#121—28no—
936#121—24no—
937#121—24no—
938#121—28no—
939#121—28no—
940#121—24no—
941#121—28no—
942#121—216no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—44no—
948#121—48no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—44no—
956#121—42no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—84no—
967#121—84no—
968#121—84no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×D4—28no—
972C4×D4—28no—
973C4×D4—28no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—24no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—48no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—42no—
995C4×D4—44no—
996C4×D4—48no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—48no—
1000C4×D4—48no—
1001C4×D4—48no—
1002C4×D4—48no—
1003C4×D4—48no—
1004C4×D4—84no—
1005#117—24no—
1006#117—28no—
1007#117—28no—
1008#117—24no—
1009#117—24no—
1010#117—28no—
1011#117—48no—
1012#117—42no—
1013#117—44no—
1014#117—84no—
1015C2×C4⋊C4—24no—
1016C2×C4⋊C4—24no—
1017C2×C4⋊C4—28no—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—48no—
1141C2×C42—44no—
1142C2×C42—44no—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2414yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2414yes—
1171C2×C42C2412yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2411yescharacteristic
1177C2×C42C2414yes—
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2411yescharacteristic
1207#95C2412yes—
1208#95C2414yes—
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2412yes—
1234C24C2512yes—
1235C24C2512yes—
1236C24C2511yescharacteristic
1237C24C2514yes—
1238C24C2514yes—
1239C24C2511yescharacteristic
1240#41—816no—
1241#41—832no—
1242#41—832no—
1243#41—816no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—28no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×Q8C2×#4118yes—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—28no—
1272C2×D4—24no—
1273C2×D4—28no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—28no—
1287C2×D4—28no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—42no—
1292C2×D4—41no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—28no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—28no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—28no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—28no—
1376C22×C4—28no—
1377C22×C4—28no—
1378C22×C4—28no—
1379C22×C4—28no—
1380C22×C4—44no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—44no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—42no—
1399C22×C4—44no—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—28no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—28no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—41no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4C2×#4114yes—
1471C4⋊C4C2×#4114yes—
1472C4⋊C4C2×#4118yes—
1473C4⋊C4C2×#4118yes—
1474C4⋊C4C2×#4118yes—
1475C4⋊C4C2×#4118yes—
1476C4⋊C4H(5,𝔽2)14yes—
1477C4⋊C4H(5,𝔽2)14yes—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—22no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—22no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—22no—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—28no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4H(5,𝔽2)14yes—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—28no—
1556C42—24no—
1557C42—24no—
1558C42—24no—
1559C42—24no—
1560C42—24no—
1561C42—22no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—24no—
1566C42—24no—
1567C42—22no—
1568C42—22no—
1569C42—24no—
1570C42—22no—
1571C42—42no—
1572C42—42no—
1573C42—44no—
1574C42—42no—
1575C42—42no—
1576C42—44no—
1577C42—42no—
1578C42—44no—
1579C42—42no—
1580C42—42no—
1581C42—44no—
1582C42—44no—
1583C42—41no—
1584C42C2×#4114yes—
1585C42C2×#4114yes—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—21no—
1596C23—24no—
1597C23—24no—
1598C23—24no—
1599C23—24no—
1600C23—22no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—22no—
1605C23—24no—
1606C23—22no—
1607C23—24no—
1608C23—24no—
1609C23—24no—
1610C23—22no—
1611C23—24no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—24no—
1617C23—21no—
1618C23—24no—
1619C23—22no—
1620C23—22no—
1621C23—24no—
1622C23—24no—
1623C23—22no—
1624C23—24no—
1625C23—22no—
1626C23—21no—
1627C23C2×H(5,𝔽2)12yes—
1628C23C2611yescharacteristic
1629Q8—48no—
1630Q8—48no—
1631Q8—88no—
1632D4—48no—
1633D4—44no—
1634D4—416no—
1635D4—48no—
1636D4—44no—
1637D4—48no—
1638D4—48no—
1639D4—44no—
1640D4—48no—
1641D4—48no—
1642D4—88no—
1643D4—84no—
1644D4—88no—
1645D4—88no—
1646D4—88no—
1647D4—88no—
1648D4—84no—
1649D4—84no—
1650D4—88no—
1651D4—88no—
1652D4—88no—
1653D4—88no—
1654D4—88no—
1655D4—84no—
1656D4—88no—
1657D4—88no—
1658D4—164no—
1659D4—164no—
1660D4—164no—
1661D4—164no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—24no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—416no—
1734C2×C4—44no—
1735C2×C4—416no—
1736C2×C4—48no—
1737C2×C4—44no—
1738C2×C4—48no—
1739C2×C4—44no—
1740C2×C4—44no—
1741C2×C4—48no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—48no—
1745C2×C4—84no—
1746C2×C4—88no—
1747C2×C4—84no—
1748C2×C4—88no—
1749C2×C4—88no—
1750C2×C4—88no—
1751C2×C4—88no—
1752C2×C4C22×#4112yes—
1753C2×C4C22×#4114yes—
1754C2×C4C22×#4118yes—
1755C2×C4C22×#4112yes—
1756C2×C4C22×#4112yes—
1757C2×C4C22×#4114yes—
1758C2×C4C22×#4112yes—
1759C2×C4C22×#4112yes—
1760C2×C4C22×#4112yes—
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4C2×H(5,𝔽2)14yes—
1763C2×C4C2×H(5,𝔽2)14yes—
1764C2×C4C2×H(5,𝔽2)12yes—
1765C2×C4C2×H(5,𝔽2)12yes—
1766C2×C4C2×H(5,𝔽2)12yes—
1767C2×C4#58512yes—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—44no—
1777C22—44no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—44no—
1782C22—41no—
1783C22—44no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—42no—
1788C22—44no—
1789C22—41no—
1790C22—42no—
1791C22—41no—
1792C22—42no—
1793C22—44no—
1794C22—44no—
1795C22—44no—
1796C22—42no—
1797C22—41no—
1798C22—42no—
1799C22—44no—
1800C22—42no—
1801C22—41no—
1802C22—44no—
1803C22—42no—
1804C22—44no—
1805C22—42no—
1806C22—41no—
1807C22—42no—
1808C22—44no—
1809C22—44no—
1810C22C23×#4111yescharacteristic
1811C22C23×#4111yescharacteristic
1812C22C22×H(5,𝔽2)11yescharacteristic
1813C22C22×H(5,𝔽2)11yescharacteristic
1814C22C22×H(5,𝔽2)11yescharacteristic
1815C22C2×#58511yescharacteristic
1816C22H(7,𝔽2)11yescharacteristic
1817C4—22no—
1818C4—22no—
1819C4—28no—
1820C4—24no—
1821C4—22no—
1822C4—24no—
1823C4—24no—
1824C4—22no—
1825C4—24no—
1826C4—22no—
1827C4—41no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4—44no—
1833C4—41no—
1834C4—41no—
1835C4—42no—
1836C4—42no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—42no—
1844C4#348314yes—
1845C4#351714yes—
1846C2—42no—
1847C2—81no—
1848C2—84no—
1849C2—84no—
1850C2—82no—
1851C2—82no—
1852C2C2×#348311yescharacteristic
1853C2C2×#351711yescharacteristic
1854C2#6280011yescharacteristic
1855C2#6292311yescharacteristic
1856C2#6298311yescharacteristic
1857C2#6298611yescharacteristic
1858C2#6301111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59750C2semidirect
2. #59696C2semidirect
3. #59668C2semidirect
4. #59115C2semidirect
5. #59097C2semidirect
6. #59056C2semidirect
7. #59056C2semidirect
8. #59056C2semidirect
9. #45408C2semidirect
10. #45036C2semidirect
11. #44265C2semidirect
12. #44158C2semidirect
13. #40126C2semidirect
14. #40116C2semidirect
15. #39386C2semidirect
16. #38942C2semidirect
17. #38822C2semidirect
18. #38286C2semidirect
19. #36472C2semidirect
20. #36462C2semidirect
21. #36369C2semidirect
22. #36273C2semidirect
23. #36128C2semidirect
24. #36128C2semidirect
25. #36126C2semidirect
26. #36125C2semidirect
27. #35941C2semidirect
28. #35768C2semidirect
29. #34925C2semidirect
30. #34800C2semidirect
31. #34321C2semidirect
32. #34287C2semidirect
33. #34236C2semidirect
34. C4×#553C2semidirect
35. #34155C2semidirect
891. C4⋊Q8#41semidirect
910. #125#41semidirect

Maximal subgroups

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

subgroupindex
#597502
#596962
#596682
#591152
#590972
#590562
#454082
#450362
#442652
#441582
#401262
#401162
#393862
#389422
#388222
#382862
#364722
#364622
#363692
#362732
#361282
#361262
#361252
#359412
#357682
#349252
#348002
#343212
#342872
#342362
C4×#5532
#341552