Finite Group Databasebeta

← #8463279

Subgroups — #8463279

Order 512.

5121 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59678C211yesmaximal, characteristic, complemented
2#59125C211yesmaximal, characteristic, complemented
3#59125C211yesmaximal, characteristic, complemented
4#55277C214yesmaximal, complemented
5#55038C214yesmaximal, complemented
6#54065C214yesmaximal, complemented
7#53085C212yesmaximal, complemented
8#52972C212yesmaximal, complemented
9#48358C214yesmaximal, complemented
10#45676C212yesmaximal, complemented
11#45503C212yesmaximal, complemented
12#45375C212yesmaximal, complemented
13#45332C212yesmaximal, complemented
14#42806C212yesmaximal, complemented
15#42715C212yesmaximal, complemented
16#42508C212yesmaximal, complemented
17#42506C212yesmaximal, complemented
18#39864C212yesmaximal, complemented
19#39737C211yesmaximal, characteristic, complemented
20#39641C211yesmaximal, characteristic, complemented
21#39631C212yesmaximal, complemented
22#39146C211yesmaximal, characteristic, complemented
23#38920C211yesmaximal, characteristic, complemented
24#38098C212yesmaximal, complemented
25#37680C212yesmaximal, complemented
26#37617C211yesmaximal, characteristic, complemented
27#37398C212yesmaximal, complemented
28#37340C212yesmaximal, complemented
29#36259C211yesmaximal, characteristic, complemented
30#36127C211yesmaximal, characteristic, complemented
31D4×C4⋊Q8C211yesmaximal, characteristic, complemented
32#35316C211yesmaximal, characteristic, complemented
33#35176C211yesmaximal, characteristic, complemented
34#34917C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2212yes—
37C2×#548C2212yes—
38C2×#548C2212yes—
39C2×#547C2211yescharacteristic
40C2×#547C2212yes—
41C2×#547C2211yescharacteristic
42C2×#536C2212yes—
43C2×#532C2212yes—
44C22×C4⋊Q8C2211yescharacteristic
45C22×C4⋊Q8C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2868C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2857C2211yescharacteristic
52#2857C2212yes—
53#2857C2212yes—
54#2857C2212yes—
55#2855C2212yes—
56#2854C2212yes—
57#2841C2214yes—
58#2837C2214yes—
59#2837C2214yes—
60#2837C2214yes—
61#2834C2214yes—
62#2827C2214yes—
63#2821C2214yes—
64#2816C2214yes—
65#2807C2214yes—
66#2807C2214yes—
67#2807C2214yes—
68#2807C2214yes—
69#2807C2214yes—
70#2805C2214yes—
71#2801C2214yes—
72#2796C2214yes—
73#2792C2214yes—
74#2792C2214yes—
75#2791C2214yes—
76#2791C2214yes—
77#2788C2214yes—
78#2779C2214yes—
79#2774C2214yes—
80#2772C2214yes—
81#2771C2214yes—
82#2771C2214yes—
83#2770C2214yes—
84#2765C2214yes—
85#2765C2214yes—
86#2750C2214yes—
87#2748C2214yes—
88#2746C2214yes—
89#2745C2214yes—
90#2743C2214yes—
91#2742C2214yes—
92#2741C2214yes—
93#2741C2214yes—
94#2732C2214yes—
95#2731C2214yes—
96#2730C2214yes—
97#2729C2214yes—
98#2718C2214yes—
99#2706C2214yes—
100#2688C2214yes—
101#2686C2214yes—
102#2686C2214yes—
103#2681C2214yes—
104#2680C2214yes—
105#2674C2214yes—
106#2674C2214yes—
107#2674C2214yes—
108#2672C2214yes—
109#2672C2214yes—
110#2672C2214yes—
111#2671C2214yes—
112#2671C2214yes—
113#2671C2214yes—
114#2667C2214yes—
115#2658C2212yes—
116#2649C2214yes—
117#2647C2212yes—
118#2646C2214yes—
119#2645C2212yes—
120#2642C2212yes—
121#2638C2214yes—
122#2638C2214yes—
123#2635C2214yes—
124#2628C2212yes—
125#2628C2212yes—
126#2624C2212yes—
127#2623C2214yes—
128#2621C2214yes—
129#2620C2212yes—
130#2600C2214yes—
131#2600C2214yes—
132#2597C2214yes—
133#2578C2212yes—
134#2576C2212yes—
135#2570C2211yescharacteristic
136#2566C2211yescharacteristic
137#2564C2214yes—
138#2562C2212yes—
139#2562C2212yes—
140#2562C2211yescharacteristic
141#2562C2212yes—
142#2552C2211yescharacteristic
143#2551C2212yes—
144#2551C2212yes—
145#2547C2211yescharacteristic
146#2547C2211yescharacteristic
147#2547C2211yescharacteristic
148#2547C2211yescharacteristic
149#2547C2212yes—
150#2546C2211yescharacteristic
151#2546C2212yes—
152#2546C2212yes—
153#2546C2212yes—
154#2546C2212yes—
155#2546C2211yescharacteristic
156#2546C2211yescharacteristic
157#2544C2212yes—
158#2542C2212yes—
159#2542C2211yescharacteristic
160#2538C2211yescharacteristic
161#2537C2212yes—
162#2537C2212yes—
163#2535C2211yescharacteristic
164#2522C2214yes—
165#2515C2212yes—
166#2511C2212yes—
167#2511C2212yes—
168#2507C2212yes—
169#2507C2212yes—
170#2507C2212yes—
171#2505C2214yes—
172#2497C2212yes—
173#2497C2211yescharacteristic
174#2494C2211yescharacteristic
175#2494C2212yes—
176#2491C2212yes—
177#2491C2212yes—
178#2489C2212yes—
179#2487C2212yes—
180#2487C2212yes—
181#2487C2212yes—
182#2487C2212yes—
183#2487C2212yes—
184#2486C2212yes—
185#2486C2212yes—
186#2486C2212yes—
187#2486C2214yes—
188#2485C2212yes—
189#2485C2212yes—
190#2479C2212yes—
191#2471C2212yes—
192#2467C2212yes—
193#2464C2214yes—
194#2457C2212yes—
195#2456C2212yes—
196#2455C2214yes—
197#2455C2214yes—
198#2455C2214yes—
199#2454C2212yes—
200#2454C2211yescharacteristic
201#2449C2214yes—
202#2449C2214yes—
203#2449C2214yes—
204#2448C2212yes—
205#2448C2212yes—
206#2448C2211yescharacteristic
207#2446C2212yes—
208#2446C2212yes—
209#2443C2214yes—
210#2443C2214yes—
211#2442C2212yes—
212#2441C2211yescharacteristic
213#2441C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2440C2214yes—
217#2440C2212yes—
218#2440C2212yes—
219#2440C2212yes—
220#2440C2212yes—
221#2436C2212yes—
222#2434C2212yes—
223#2434C2212yes—
224#2434C2212yes—
225#2432C2212yes—
226#2432C2212yes—
227#2432C2212yes—
228#2432C2212yes—
229#2432C2212yes—
230#2431C2211yescharacteristic
231#2429C2212yes—
232#2429C2212yes—
233#2429C2212yes—
234#2429C2212yes—
235#2428C2211yescharacteristic
236#2427C2212yes—
237#2425C2214yes—
238#2423C2212yes—
239#2423C2212yes—
240#2423C2211yescharacteristic
241#2422C2214yes—
242#2422C2214yes—
243#2422C2211yescharacteristic
244#2420C2211yescharacteristic
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yes—
248#2415C2212yes—
249#2414C2212yes—
250#2414C2211yescharacteristic
251#2413C2214yes—
252#2409C2212yes—
253#2409C2212yes—
254#2407C2212yes—
255#2407C2211yescharacteristic
256#2401C2212yes—
257#2397C2212yes—
258#2392C2212yes—
259#2392C2212yes—
260#2376C2214yes—
261#2367C2212yes—
262#2365C2211yescharacteristic
263#2365C2211yescharacteristic
264#2354C2211yescharacteristic
265#2352C2212yes—
266D4×C4⋊C4C2212yes—
267D4×C4⋊C4C2212yes—
268D4×C4⋊C4C2212yes—
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271D4×C4⋊C4C2212yes—
272D4×C4⋊C4C2212yes—
273#2339C2212yes—
274#2330C2212yes—
275#2330C2212yes—
276#2326C2212yes—
277#2325C2214yes—
278#2323C2212yes—
279#2319C2212yes—
280#2317C2212yes—
281#2310C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×#123C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2295C2211yescharacteristic
292C2×#389C2212yes—
293#2290C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303C23×Q8C2312yes—
304D4×Q8—48no—
305#548—48no—
306#548—48no—
307#547—44no—
308#547—44no—
309#547—48no—
310#536—48no—
311#532—48no—
312C2×C4⋊Q8—44no—
313C2×C4⋊Q8—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2314yes—
328C2×C4⋊Q8C2312yes—
329C2×#127C2311yescharacteristic
330#529—44no—
331C2×#126C2312yes—
332C2×#125C2311yescharacteristic
333C2×#125C2312yes—
334C2×#125C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2311yescharacteristic
377C4×#41—44no—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2314yes—
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423C22×C42C2312yes—
424#401C2312yes—
425#401C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2312yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2312yes—
454#399C2312yes—
455#399C2312yes—
456#399C2314yes—
457#399C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2312yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2312yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2314yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#396C2312yes—
497#396C2312yes—
498#396C2312yes—
499#396C2314yes—
500#396C2312yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2312yes—
507#396C2314yes—
508#395C2314yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#394C2312yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#392C2312yes—
544#392C2312yes—
545#392C2312yes—
546#392C2314yes—
547#392C2312yes—
548#392C2312yes—
549#392C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2314yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2311yescharacteristic
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2311yescharacteristic
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2314yes—
605#389C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2311yescharacteristic
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2314yes—
623#389C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2314yes—
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#383C2312yes—
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#382C2314yes—
746#382C2312yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#381C2312yes—
751#381C2312yes—
752#381C2314yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818#376C2312yes—
819#376C2312yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—24no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8—28no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8—44no—
836C22×Q8—44no—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2414yes—
842C22×Q8C2414yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C4⋊Q8—24no—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888C4⋊Q8—44no—
889C4⋊Q8—48no—
890#127—24no—
891#126—44no—
892#125—24no—
893#125—44no—
894#125—42no—
895#124—28no—
896#124—28no—
897#124—42no—
898#124—44no—
899#124—44no—
900#124—48no—
901#124—48no—
902#123—28no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—48no—
908#123—44no—
909#123—48no—
910C22⋊Q8—28no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—42no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924#121—24no—
925#121—24no—
926#121—28no—
927#121—48no—
928#121—48no—
929#121—48no—
930#121—48no—
931#121—42no—
932#121—42no—
933#121—42no—
934#121—44no—
935#121—44no—
936#121—48no—
937C4×Q8—24no—
938C4×Q8—42no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×D4—28no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962C4×D4—48no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—48no—
966#117—44no—
967#117—44no—
968#117—44no—
969#117—44no—
970#117—42no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—48no—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C42—24no—
1113C2×C42—24no—
1114C2×C42—44no—
1115C2×C42—44no—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208C24C2512yes—
1209C24C2512yes—
1210C24C2512yes—
1211C24C2511yescharacteristic
1212C24C2511yescharacteristic
1213#41—416no—
1214#41—816no—
1215#41—816no—
1216C2×Q8—22no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—28no—
1229C2×Q8—44no—
1230C2×Q8—44no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—816no—
1235C2×Q8—816no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4H(5,𝔽2)14yes—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—28no—
1283C22×C4—28no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—42no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4H(5,𝔽2)14yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2514yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2514yes—
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C22⋊C4—24no—
1436C22⋊C4—22no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—22no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—22no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C42−1+414yes—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—24no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—24no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—42no—
1514C42—41no—
1515C42—44no—
1516C42—44no—
1517C42—44no—
1518C42—44no—
1519C42H(5,𝔽2)14yes—
1520C422−1+414yes—
1521C23—21no—
1522C23—22no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—22no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—21no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23C2×H(5,𝔽2)14yes—
1554C23C2×H(5,𝔽2)12yes—
1555C23C2×2−1+412yes—
1556C23C2611yescharacteristic
1557Q8—48no—
1558Q8—48no—
1559Q8—48no—
1560Q8—44no—
1561Q8—88no—
1562Q8—88no—
1563D4—28no—
1564D4—28no—
1565D4—48no—
1566D4—48no—
1567D4—48no—
1568D4—48no—
1569D4—48no—
1570D4—44no—
1571D4—44no—
1572D4—84no—
1573D4—84no—
1574D4—84no—
1575D4—88no—
1576D4—88no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—28no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—48no—
1659C2×C4—44no—
1660C2×C4—48no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—48no—
1664C2×C4—48no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—84no—
1668C2×C4—88no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4C2×H(5,𝔽2)12yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×2−1+412yes—
1680C2×C4C2×2−1+412yes—
1681C2×C4C2×2−1+412yes—
1682C2×C4C2×2−1+412yes—
1683C2×C4C2×2−1+412yes—
1684C2×C4#58512yes—
1685C22—22no—
1686C22—24no—
1687C22—22no—
1688C22—24no—
1689C22—22no—
1690C22—22no—
1691C22—24no—
1692C22—22no—
1693C22—22no—
1694C22—41no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C22×H(5,𝔽2)11yescharacteristic
1722C22C22×H(5,𝔽2)11yescharacteristic
1723C22C22×2−1+411yescharacteristic
1724C22C22×2−1+411yescharacteristic
1725C22C2×#58511yescharacteristic
1726C222−1+611yescharacteristic
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—42no—
1734C4—42no—
1735C4—41no—
1736C4—44no—
1737C4—44no—
1738C4—44no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—41no—
1750C4—44no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4—42no—
1755C4#353714yes—
1756C4#355414yes—
1757C2—42no—
1758C2—44no—
1759C2—42no—
1760C2—82no—
1761C2—82no—
1762C2C2×#353711yescharacteristic
1763C2C2×#355411yescharacteristic
1764C2#6283311yescharacteristic
1765C2#6291511yescharacteristic
1766C2#6292511yescharacteristic
1767C2#6294211yescharacteristic
1768C2#6301311yescharacteristic
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. #59678C2semidirect
2. #59125C2semidirect
3. #59125C2semidirect
4. #55277C2semidirect
5. #55038C2semidirect
6. #54065C2semidirect
7. #53085C2semidirect
8. #52972C2semidirect
9. #48358C2semidirect
10. #45676C2semidirect
11. #45503C2semidirect
12. #45375C2semidirect
13. #45332C2semidirect
14. #42806C2semidirect
15. #42715C2semidirect
16. #42508C2semidirect
17. #42506C2semidirect
18. #39864C2semidirect
19. #39737C2semidirect
20. #39641C2semidirect
21. #39631C2semidirect
22. #39146C2semidirect
23. #38920C2semidirect
24. #38098C2semidirect
25. #37680C2semidirect
26. #37617C2semidirect
27. #37398C2semidirect
28. #37340C2semidirect
29. #36259C2semidirect
30. #36127C2semidirect
31. D4×C4⋊Q8C2semidirect
32. #35316C2semidirect
33. #35176C2semidirect
34. #34917C2semidirect
35. #34727C2semidirect

Maximal subgroups

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

subgroupindex
#596782
#591252
#552772
#550382
#540652
#530852
#529722
#483582
#456762
#455032
#453752
#453322
#428062
#427152
#425082
#425062
#398642
#397372
#396412
#396312
#391462
#389202
#380982
#376802
#376172
#373982
#373402
#362592
#361272
D4×C4⋊Q82
#353162
#351762
#349172
#347272