Finite Group Databasebeta

← #8108049

Subgroups — #8108049

Order 512.

4337 conjugacy classes of subgroups.

The subgroup lattice has 1743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53138C212yesmaximal, complemented
2#53114C212yesmaximal, complemented
3#53104C212yesmaximal, complemented
4#53029C212yesmaximal, complemented
5#52994C212yesmaximal, complemented
6#52980C212yesmaximal, complemented
7#45403C212yesmaximal, complemented
8#45383C212yesmaximal, complemented
9#45256C212yesmaximal, complemented
10#45227C212yesmaximal, complemented
11#45206C212yesmaximal, complemented
12#45102C212yesmaximal, complemented
13#42884C212yesmaximal, complemented
14#42871C212yesmaximal, complemented
15#42830C212yesmaximal, complemented
16#42750C212yesmaximal, complemented
17#42723C212yesmaximal, complemented
18#42721C212yesmaximal, complemented
19#42700C212yesmaximal, complemented
20#42687C212yesmaximal, complemented
21#42632C212yesmaximal, complemented
22#42594C212yesmaximal, complemented
23#42538C212yesmaximal, complemented
24#42493C212yesmaximal, complemented
25#36609C211yesmaximal, characteristic, complemented
26#36609C211yesmaximal, characteristic, complemented
27#36598C211yesmaximal, characteristic, complemented
28#36594C211yesmaximal, characteristic, complemented
29#36574C211yesmaximal, characteristic, complemented
30#36573C211yesmaximal, characteristic, complemented
31#36563C211yesmaximal, characteristic, complemented
32#36560C211yesmaximal, characteristic, complemented
33#35291C211yesmaximal, characteristic, complemented
34#35291C211yesmaximal, characteristic, complemented
35#35288C211yesmaximal, characteristic
36#35288C211yesmaximal, characteristic
37#35284C211yesmaximal, characteristic, complemented
38#35277C211yesmaximal, characteristic
39#34552C211yesmaximal, characteristic, complemented
40C2×#557C2212yes—
41C2×#556C2212yes—
42C2×#542C2212yes—
43#2868C2211yescharacteristic
44#2868C2211yescharacteristic
45#2862C2211yescharacteristic
46#2862C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2858C2211yescharacteristic
53#2858C2211yescharacteristic
54#2858C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2856C2211yescharacteristic
59#2841C2214yes—
60#2838C2214yes—
61#2837C2214yes—
62#2837C2214yes—
63#2836C2214yes—
64#2836C2214yes—
65#2836C2214yes—
66#2834C2214yes—
67#2831C2214yes—
68#2830C2214yes—
69#2827C2214yes—
70#2821C2214yes—
71#2808C2214yes—
72#2807C2214yes—
73#2787C2214yes—
74#2787C2214yes—
75#2786C2214yes—
76#2772C2214yes—
77#2768C2214yes—
78#2765C2214yes—
79#2764C2214yes—
80#2763C2214yes—
81#2761C2214yes—
82#2759C2214yes—
83#2754C2214yes—
84#2747C2214yes—
85#2744C2214yes—
86#2744C2214yes—
87#2741C2214yes—
88#2739C2214yes—
89#2739C2214yes—
90#2738C2214yes—
91#2731C2214yes—
92#2729C2214yes—
93#2725C2214yes—
94#2721C2214yes—
95#2721C2214yes—
96#2718C2214yes—
97#2715C2214yes—
98#2707C2214yes—
99#2698C2214yes—
100#2690C2214yes—
101#2690C2214yes—
102#2689C2214yes—
103#2654C2214yes—
104#2654C2214yes—
105#2652C2214yes—
106#2652C2214yes—
107#2650C2214yes—
108#2647C2212yes—
109#2646C2214yes—
110#2645C2212yes—
111#2645C2212yes—
112#2644C2212yes—
113#2644C2212yes—
114#2640C2212yes—
115#2637C2214yes—
116#2629C2212yes—
117#2628C2214yes—
118#2625C2212yes—
119#2625C2212yes—
120#2624C2212yes—
121#2624C2212yes—
122#2620C2212yes—
123#2599C2214yes—
124#2596C2214yes—
125#2592C2212yes—
126#2592C2212yes—
127#2592C2212yes—
128#2592C2212yes—
129#2584C2212yes—
130#2584C2212yes—
131#2582C2212yes—
132#2582C2212yes—
133#2581C2212yes—
134#2580C2212yes—
135#2580C2212yes—
136#2580C2212yes—
137#2580C2212yes—
138#2580C2212yes—
139#2571C2212yes—
140#2570C2212yes—
141#2570C2212yes—
142#2568C2212yes—
143#2568C2212yes—
144#2567C2212yes—
145#2565C2212yes—
146#2565C2212yes—
147#2558C2214yes—
148#2552C2212yes—
149#2550C2212yes—
150#2550C2212yes—
151#2547C2212yes—
152#2546C2212yes—
153#2546C2212yes—
154#2545C2212yes—
155#2545C2212yes—
156#2538C2212yes—
157#2538C2212yes—
158#2519C2214yes—
159#2515C2214yes—
160#2514C2212yes—
161#2514C2212yes—
162#2513C2212yes—
163#2513C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2512C2212yes—
169#2512C2212yes—
170#2512C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2512C2212yes—
174#2511C2212yes—
175#2511C2212yes—
176#2509C2212yes—
177#2509C2212yes—
178#2509C2212yes—
179#2509C2212yes—
180#2508C2212yes—
181#2508C2212yes—
182#2508C2212yes—
183#2508C2212yes—
184#2507C2212yes—
185#2507C2212yes—
186#2507C2212yes—
187#2507C2212yes—
188#2506C2212yes—
189#2506C2212yes—
190#2506C2212yes—
191#2506C2212yes—
192#2497C2212yes—
193#2497C2212yes—
194#2496C2214yes—
195#2495C2212yes—
196#2495C2212yes—
197#2494C2212yes—
198#2494C2212yes—
199#2493C2214yes—
200#2491C2212yes—
201#2491C2212yes—
202#2490C2212yes—
203#2490C2212yes—
204#2489C2212yes—
205#2489C2212yes—
206#2488C2214yes—
207#2474C2214yes—
208#2454C2212yes—
209#2454C2212yes—
210#2454C2212yes—
211#2454C2212yes—
212#2454C2212yes—
213#2454C2212yes—
214#2454C2212yes—
215#2454C2212yes—
216#2453C2212yes—
217#2453C2212yes—
218#2453C2212yes—
219#2453C2212yes—
220#2452C2212yes—
221#2452C2212yes—
222#2451C2212yes—
223#2451C2212yes—
224#2448C2212yes—
225#2448C2212yes—
226#2448C2212yes—
227#2448C2212yes—
228#2448C2214yes—
229#2448C2212yes—
230#2448C2212yes—
231#2447C2212yes—
232#2447C2212yes—
233#2447C2212yes—
234#2447C2212yes—
235#2447C2212yes—
236#2447C2212yes—
237#2446C2212yes—
238#2446C2212yes—
239#2446C2212yes—
240#2446C2212yes—
241#2438C2214yes—
242#2429C2212yes—
243#2429C2212yes—
244#2427C2212yes—
245#2427C2212yes—
246#2426C2212yes—
247#2426C2212yes—
248#2422C2212yes—
249#2422C2212yes—
250#2421C2214yes—
251#2421C2212yes—
252#2421C2212yes—
253#2420C2212yes—
254#2420C2212yes—
255#2402C2211yescharacteristic
256#2402C2211yescharacteristic
257#2402C2211yescharacteristic
258#2402C2211yescharacteristic
259#2402C2211yescharacteristic
260#2402C2211yescharacteristic
261#2399C2211yescharacteristic
262#2399C2211yescharacteristic
263#2399C2211yescharacteristic
264#2399C2211yescharacteristic
265#2399C2211yescharacteristic
266#2399C2211yescharacteristic
267#2396C2211yescharacteristic
268#2396C2211yescharacteristic
269#2396C2211yescharacteristic
270#2396C2211yescharacteristic
271#2396C2211yescharacteristic
272#2396C2211yescharacteristic
273#2396C2211yescharacteristic
274#2396C2211yescharacteristic
275#2396C2211yescharacteristic
276#2396C2211yescharacteristic
277#2396C2211yescharacteristic
278#2396C2211yescharacteristic
279#2370C2212yes—
280#2370C2212yes—
281#2369C2212yes—
282#2367C2212yes—
283#2367C2212yes—
284#2367C2212yes—
285#2367C2212yes—
286#2365C2212yes—
287#2365C2212yes—
288#2365C2212yes—
289#2357C2212yes—
290#2357C2212yes—
291#2355C2212yes—
292#2355C2212yes—
293#2355C2212yes—
294#2354C2212yes—
295#2354C2212yes—
296#2351C2212yes—
297Q8×C4⋊C4C2212yes—
298#2349C2212yes—
299#2349C2212yes—
300#2349C2212yes—
301#2330C2212yes—
302#2326C2212yes—
303#2324C2212yes—
304#2324C2212yes—
305#2323C2212yes—
306#2323C2212yes—
307#2320C2212yes—
308#2320C2212yes—
309#2319C2212yes—
310#2319C2212yes—
311#2314C2212yes—
312C4×C4⋊Q8C2211yescharacteristic
313C4×C4⋊Q8C2211yescharacteristic
314C4×C4⋊Q8C2211yescharacteristic
315C4×C4⋊Q8C2211yescharacteristic
316C4×C4⋊Q8C2211yescharacteristic
317C4×C4⋊Q8C2211yescharacteristic
318C4×C4⋊Q8C2211yescharacteristic
319C4×C4⋊Q8C2211yescharacteristic
320C4×C4⋊Q8C2211yescharacteristic
321C4×#127C2211yescharacteristic
322C4×#127C2211yescharacteristic
323C4×#127C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×Q8C2211yescharacteristic
326C42×Q8C2211yescharacteristic
327C42×Q8C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331#557—48no—
332#556—48no—
333#542—48no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×#127C2311yescharacteristic
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#125C2312yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2314yes—
353C2×#125C2314yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2312yes—
360C2×#124C2314yes—
361C2×#123C2314yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2314yes—
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C22×C42C2311yescharacteristic
409#401C2314yes—
410#401C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2311yescharacteristic
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2311yescharacteristic
431#400C2311yescharacteristic
432#400C2311yescharacteristic
433#400C2311yescharacteristic
434#400C2311yescharacteristic
435#400C2311yescharacteristic
436#400C2311yescharacteristic
437#400C2311yescharacteristic
438#400C2311yescharacteristic
439#400C2311yescharacteristic
440#400C2311yescharacteristic
441#400C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2311yescharacteristic
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2311yescharacteristic
451#399C2311yescharacteristic
452#399C2311yescharacteristic
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2311yescharacteristic
464#398C2314yes—
465#398C2311yescharacteristic
466#398C2311yescharacteristic
467#398C2311yescharacteristic
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2311yescharacteristic
475#398C2314yes—
476#398C2311yescharacteristic
477#398C2311yescharacteristic
478#398C2311yescharacteristic
479#398C2311yescharacteristic
480#398C2311yescharacteristic
481#398C2311yescharacteristic
482#398C2311yescharacteristic
483#398C2311yescharacteristic
484#398C2311yescharacteristic
485#398C2311yescharacteristic
486#398C2311yescharacteristic
487#398C2311yescharacteristic
488#398C2311yescharacteristic
489#398C2311yescharacteristic
490#398C2311yescharacteristic
491#398C2311yescharacteristic
492#398C2311yescharacteristic
493#398C2311yescharacteristic
494#398C2311yescharacteristic
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2311yescharacteristic
529#396C2311yescharacteristic
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2311yescharacteristic
534#396C2311yescharacteristic
535#396C2311yescharacteristic
536#396C2311yescharacteristic
537#396C2311yescharacteristic
538#396C2311yescharacteristic
539#395C2311yescharacteristic
540#395C2314yes—
541#395C2314yes—
542#395C2314yes—
543#395C2311yescharacteristic
544#395C2311yescharacteristic
545#395C2311yescharacteristic
546#395C2311yescharacteristic
547#395C2311yescharacteristic
548#395C2311yescharacteristic
549#395C2311yescharacteristic
550#395C2311yescharacteristic
551#395C2311yescharacteristic
552#395C2311yescharacteristic
553#395C2311yescharacteristic
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2311yescharacteristic
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2311yescharacteristic
567#393C2311yescharacteristic
568#393C2311yescharacteristic
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2314yes—
579#391C2314yes—
580#391C2312yes—
581#391C2312yes—
582#391C2314yes—
583#391C2314yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2314yes—
594#391C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2314yes—
653#389C2314yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2312yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2314yes—
671#389C2314yes—
672#389C2312yes—
673#389C2312yes—
674#389C2314yes—
675#389C2312yes—
676#389C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#386C2314yes—
734#386C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2312yes—
754#384C2314yes—
755#384C2312yes—
756#384C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#384C2312yes—
761#383C2314yes—
762#383C2314yes—
763#382C2312yes—
764#382C2312yes—
765#382C2314yes—
766#382C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#382C2312yes—
771#382C2314yes—
772#382C2314yes—
773#382C2312yes—
774#382C2312yes—
775#382C2314yes—
776#381C2314yes—
777#381C2314yes—
778#381C2314yes—
779#381C2314yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C4⋊C4C2311yescharacteristic
849C4×C4⋊C4C2311yescharacteristic
850C4×C4⋊C4C2311yescharacteristic
851C4×C4⋊C4C2311yescharacteristic
852C4×C4⋊C4C2311yescharacteristic
853C4×C4⋊C4C2311yescharacteristic
854C4×C4⋊C4C2311yescharacteristic
855C4×C4⋊C4C2311yescharacteristic
856C4×C4⋊C4C2311yescharacteristic
857C4×C4⋊C4C2311yescharacteristic
858C4×C4⋊C4C2311yescharacteristic
859C4×C4⋊C4C2311yescharacteristic
860C4×C4⋊C4C2311yescharacteristic
861C4×C4⋊C4C2311yescharacteristic
862C4×C22⋊C4C2314yes—
863C4×C22⋊C4C2314yes—
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876#376C2311yescharacteristic
877#376C2311yescharacteristic
878#376C2311yescharacteristic
879#376C2311yescharacteristic
880#376C2311yescharacteristic
881#376C2311yescharacteristic
882C2×#95C2314yes—
883C43C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C22×Q8C2412yes—
890C22×Q8C2412yes—
891C22×Q8C2412yes—
892C22×Q8C2411yescharacteristic
893C22×Q8C2411yescharacteristic
894C22×Q8C2411yescharacteristic
895C22×Q8C2414yes—
896C22×Q8C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C4⋊Q8—28no—
908C4⋊Q8—24no—
909C4⋊Q8—24no—
910C4⋊Q8—24no—
911C4⋊Q8—44no—
912C4⋊Q8—44no—
913C4⋊Q8—44no—
914C4⋊Q8—44no—
915C4⋊Q8—48no—
916#127—24no—
917#126—48no—
918#126—48no—
919#126—48no—
920#125—44no—
921#125—44no—
922#125—44no—
923#125—44no—
924#125—44no—
925#125—48no—
926#125—48no—
927#124—28no—
928#124—44no—
929#124—44no—
930#124—44no—
931#124—44no—
932#124—44no—
933#124—48no—
934#123—48no—
935C22⋊Q8—48no—
936C22⋊Q8—48no—
937C22⋊Q8—44no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943C4×Q8—24no—
944C4×Q8—28no—
945C4×Q8—24no—
946C4×Q8—24no—
947C4×Q8—24no—
948C4×Q8—42no—
949C4×Q8—42no—
950C4×Q8—42no—
951C4×Q8—42no—
952C4×Q8—42no—
953C4×Q8—42no—
954C4×Q8—42no—
955C4×Q8—42no—
956C4×Q8—44no—
957C4×Q8—44no—
958C4×Q8—44no—
959C4×Q8—44no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—48no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×D4—28no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974#117—24no—
975#117—24no—
976#117—42no—
977#117—42no—
978#117—42no—
979#117—42no—
980#117—48no—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C42—24no—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2414yes—
1196#95C2414yes—
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255C24C2514yes—
1256C24C2511yescharacteristic
1257C2×Q8—24no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—28no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—24no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—41no—
1272C2×Q8—41no—
1273C2×Q8—41no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×Q8—41no—
1277C2×Q8—41no—
1278C2×Q8—41no—
1279C2×Q8—44no—
1280C2×Q8—44no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—28no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2514yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2514yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2514yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2514yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2514yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2514yes—
1336C22×C4C2514yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—28no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—44no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—44no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
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—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—28no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C42—22no—
1483C42—28no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C42—44no—
1524C42—44no—
1525C42—44no—
1526C42—44no—
1527C42—44no—
1528C42H(5,𝔽2)14yes—
1529C422−1+414yes—
1530C422−1+414yes—
1531C23—24no—
1532C23—21no—
1533C23—21no—
1534C23—24no—
1535C23—21no—
1536C23—24no—
1537C23—21no—
1538C23—21no—
1539C23—24no—
1540C23—24no—
1541C23—24no—
1542C23—24no—
1543C23—21no—
1544C23—21no—
1545C23C2611yescharacteristic
1546Q8—44no—
1547Q8—44no—
1548Q8—44no—
1549Q8—44no—
1550Q8—48no—
1551Q8—48no—
1552Q8—48no—
1553Q8—88no—
1554D4—48no—
1555D4—48no—
1556D4—48no—
1557D4—164no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
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—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—88no—
1660C2×C4—164no—
1661C2×C4—164no—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4C2×2−1+412yes—
1666C2×C4C2×2−1+412yes—
1667C2×C4C2×2−1+412yes—
1668C2×C4C2×2−1+412yes—
1669C2×C4C2×2−1+412yes—
1670C2×C4C2×2−1+412yes—
1671C2×C4#58512yes—
1672C2×C4#58512yes—
1673C2×C4#58512yes—
1674C2×C4#58512yes—
1675C22—41no—
1676C22—44no—
1677C22—41no—
1678C22—44no—
1679C22—41no—
1680C22—44no—
1681C22—44no—
1682C22—41no—
1683C22—44no—
1684C22—41no—
1685C22—41no—
1686C22—44no—
1687C22—44no—
1688C22—41no—
1689C22C22×H(5,𝔽2)11yescharacteristic
1690C22C22×2−1+411yescharacteristic
1691C22C22×2−1+411yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22C2×#58511yescharacteristic
1695C22C2×#58511yescharacteristic
1696C4—22no—
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—41no—
1701C4—44no—
1702C4—41no—
1703C4—44no—
1704C4—44no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—44no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—44no—
1715C4—44no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—44no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4#355414yes—
1731C4#355514yes—
1732C4#355714yes—
1733C2—81no—
1734C2—84no—
1735C2C2×#355711yescharacteristic
1736C2C2×#355411yescharacteristic
1737C2C2×#355511yescharacteristic
1738C2#6283511yescharacteristic
1739C2#6283611yescharacteristic
1740C2#6283811yescharacteristic
1741C2#6283911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2856C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53138C2semidirect
2. #53114C2semidirect
3. #53104C2semidirect
4. #53029C2semidirect
5. #52994C2semidirect
6. #52980C2semidirect
7. #45403C2semidirect
8. #45383C2semidirect
9. #45256C2semidirect
10. #45227C2semidirect
11. #45206C2semidirect
12. #45102C2semidirect
13. #42884C2semidirect
14. #42871C2semidirect
15. #42830C2semidirect
16. #42750C2semidirect
17. #42723C2semidirect
18. #42721C2semidirect
19. #42700C2semidirect
20. #42687C2semidirect
21. #42632C2semidirect
22. #42594C2semidirect
23. #42538C2semidirect
24. #42493C2semidirect
25. #36609C2semidirect
26. #36609C2semidirect
27. #36598C2semidirect
28. #36594C2semidirect
29. #36574C2semidirect
30. #36573C2semidirect
31. #36563C2semidirect
32. #36560C2semidirect
33. #35291C2semidirect
34. #35291C2semidirect
37. #35284C2semidirect
39. #34552C2semidirect

Maximal subgroups

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

subgroupindex
#531382
#531142
#531042
#530292
#529942
#529802
#454032
#453832
#452562
#452272
#452062
#451022
#428842
#428712
#428302
#427502
#427232
#427212
#427002
#426872
#426322
#425942
#425382
#424932
#366092
#365982
#365942
#365742
#365732
#365632
#365602
#352912
#352882
#352842
#352772
#345522