Finite Group Databasebeta

← #8075357

Subgroups — #8075357

Order 512.

4571 conjugacy classes of subgroups.

The subgroup lattice has 2085 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59928C211yesmaximal, characteristic, complemented
2#59928C211yesmaximal, characteristic, complemented
3#59927C211yesmaximal, characteristic, complemented
4#59923C212yesmaximal, complemented
5#59921C212yesmaximal, complemented
6#59912C212yesmaximal, complemented
7#51605C212yesmaximal, complemented
8#51604C212yesmaximal, complemented
9#51603C212yesmaximal, complemented
10#51598C212yesmaximal, complemented
11#51594C212yesmaximal, complemented
12#48856C212yesmaximal, complemented
13#48841C212yesmaximal, complemented
14#47983C212yesmaximal, complemented
15#47969C212yesmaximal, complemented
16#46848C212yesmaximal, complemented
17#46845C212yesmaximal, complemented
18#46843C212yesmaximal, complemented
19#45099C212yesmaximal, complemented
20#44879C212yesmaximal, complemented
21#43891C212yesmaximal, complemented
22#43570C212yesmaximal, complemented
23#43569C212yesmaximal, complemented
24#43565C212yesmaximal, complemented
25#43561C212yesmaximal, complemented
26#43553C212yesmaximal, complemented
27#43551C212yesmaximal, complemented
28#39689C212yesmaximal, complemented
29#39658C212yesmaximal, complemented
30#39633C211yesmaximal, characteristic, complemented
31#39625C211yesmaximal, characteristic, complemented
32#39616C211yesmaximal, characteristic, complemented
33#39615C212yesmaximal, complemented
34#34522C211yesmaximal, characteristic
35#34519C212yesmaximal
36C2×#562C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×D4×Q8C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#544C2212yes—
41#2868C2211yescharacteristic
42#2857C2212yes—
43#2841C2212yes—
44#2811C2211yescharacteristic
45#2811C2211yescharacteristic
46#2809C2211yescharacteristic
47#2809C2211yescharacteristic
48#2806C2211yescharacteristic
49#2806C2212yes—
50#2806C2212yes—
51#2806C2212yes—
52#2806C2212yes—
53#2806C2212yes—
54#2805C2211yescharacteristic
55#2802C2212yes—
56#2802C2212yes—
57#2802C2212yes—
58#2802C2212yes—
59#2799C2212yes—
60#2792C2212yes—
61#2792C2212yes—
62#2792C2212yes—
63#2792C2212yes—
64#2792C2212yes—
65#2791C2212yes—
66#2791C2212yes—
67#2790C2212yes—
68#2790C2212yes—
69#2790C2212yes—
70#2790C2212yes—
71#2788C2212yes—
72#2788C2212yes—
73#2784C2212yes—
74#2784C2212yes—
75#2780C2212yes—
76#2780C2212yes—
77#2774C2212yes—
78#2774C2212yes—
79#2768C2212yes—
80#2768C2212yes—
81#2768C2212yes—
82#2768C2212yes—
83#2763C2212yes—
84#2755C2212yes—
85#2755C2212yes—
86#2755C2212yes—
87#2748C2212yes—
88#2748C2212yes—
89#2742C2212yes—
90#2734C2212yes—
91#2734C2211yescharacteristic
92#2734C2212yes—
93#2734C2212yes—
94#2734C2212yes—
95#2734C2212yes—
96#2732C2211yescharacteristic
97#2732C2212yes—
98#2732C2211yescharacteristic
99#2732C2211yescharacteristic
100#2732C2211yescharacteristic
101#2732C2212yes—
102#2732C2212yes—
103#2732C2212yes—
104#2732C2212yes—
105#2729C2212yes—
106#2729C2212yes—
107#2729C2212yes—
108#2729C2212yes—
109#2729C2212yes—
110#2729C2212yes—
111#2729C2212yes—
112#2729C2212yes—
113#2726C2212yes—
114#2726C2211yescharacteristic
115#2726C2212yes—
116#2726C2212yes—
117#2720C2212yes—
118#2720C2212yes—
119#2720C2212yes—
120#2720C2212yes—
121#2720C2212yes—
122#2720C2212yes—
123#2713C2212yes—
124#2713C2212yes—
125#2704C2212yes—
126#2704C2212yes—
127#2704C2212yes—
128#2704C2212yes—
129#2704C2212yes—
130#2704C2212yes—
131#2704C2212yes—
132#2704C2212yes—
133#2692C2212yes—
134#2692C2212yes—
135#2683C2212yes—
136#2683C2212yes—
137#2683C2212yes—
138#2677C2212yes—
139#2677C2212yes—
140#2667C2212yes—
141#2667C2212yes—
142#2660C2212yes—
143#2660C2212yes—
144#2659C2212yes—
145#2659C2212yes—
146#2647C2212yes—
147#2629C2212yes—
148#2628C2212yes—
149#2612C2212yes—
150#2612C2212yes—
151#2612C2212yes—
152#2608C2212yes—
153#2590C2212yes—
154#2590C2212yes—
155#2589C2212yes—
156#2588C2212yes—
157#2588C2212yes—
158#2588C2212yes—
159#2588C2212yes—
160#2587C2212yes—
161#2586C2212yes—
162#2586C2212yes—
163#2586C2212yes—
164#2586C2212yes—
165#2586C2212yes—
166#2586C2212yes—
167#2586C2212yes—
168#2586C2212yes—
169#2586C2212yes—
170#2585C2212yes—
171#2585C2212yes—
172#2585C2212yes—
173#2584C2212yes—
174#2584C2212yes—
175#2583C2212yes—
176#2583C2212yes—
177#2583C2212yes—
178#2582C2211yescharacteristic
179#2579C2212yes—
180#2574C2212yes—
181#2574C2212yes—
182#2574C2212yes—
183#2574C2212yes—
184#2574C2212yes—
185#2574C2212yes—
186#2574C2212yes—
187#2569C2212yes—
188#2568C2211yescharacteristic
189#2567C2212yes—
190#2567C2212yes—
191#2566C2212yes—
192#2566C2212yes—
193#2565C2212yes—
194#2565C2212yes—
195#2564C2212yes—
196#2564C2212yes—
197#2564C2212yes—
198#2564C2212yes—
199#2564C2212yes—
200#2564C2212yes—
201#2556C2212yes—
202#2556C2212yes—
203#2556C2212yes—
204#2556C2212yes—
205#2556C2212yes—
206#2556C2212yes—
207#2556C2212yes—
208#2556C2212yes—
209#2556C2212yes—
210#2552C2211yescharacteristic
211#2552C2212yes—
212#2551C2212yes—
213#2551C2212yes—
214#2551C2212yes—
215#2551C2211yescharacteristic
216#2550C2212yes—
217#2550C2212yes—
218#2550C2212yes—
219#2549C2212yes—
220#2549C2212yes—
221#2549C2212yes—
222#2549C2212yes—
223#2549C2212yes—
224#2549C2212yes—
225#2542C2211yescharacteristic
226#2538C2212yes—
227#2538C2211yescharacteristic
228#2522C2212yes—
229#2522C2212yes—
230#2522C2212yes—
231#2522C2212yes—
232#2520C2212yes—
233#2511C2212yes—
234#2508C2212yes—
235#2508C2212yes—
236#2507C2212yes—
237#2507C2212yes—
238#2506C2212yes—
239#2506C2212yes—
240#2505C2212yes—
241#2502C2212yes—
242#2497C2212yes—
243#2497C2212yes—
244#2497C2212yes—
245#2497C2212yes—
246#2492C2212yes—
247#2492C2212yes—
248#2487C2212yes—
249#2473C2212yes—
250#2462C2212yes—
251#2462C2212yes—
252#2462C2212yes—
253#2454C2212yes—
254#2454C2212yes—
255#2453C2212yes—
256#2452C2212yes—
257#2452C2212yes—
258#2452C2212yes—
259#2451C2212yes—
260#2451C2212yes—
261#2451C2212yes—
262#2451C2212yes—
263#2451C2212yes—
264#2451C2212yes—
265#2450C2212yes—
266#2449C2212yes—
267#2449C2212yes—
268#2449C2212yes—
269#2446C2212yes—
270#2446C2212yes—
271#2446C2212yes—
272#2442C2212yes—
273#2441C2212yes—
274#2441C2212yes—
275#2440C2212yes—
276#2440C2212yes—
277#2440C2212yes—
278#2440C2212yes—
279#2439C2212yes—
280#2439C2212yes—
281#2438C2212yes—
282#2438C2212yes—
283#2438C2212yes—
284#2438C2212yes—
285#2434C2212yes—
286#2434C2212yes—
287#2434C2212yes—
288#2434C2212yes—
289#2434C2212yes—
290#2434C2212yes—
291#2429C2212yes—
292#2429C2212yes—
293#2423C2212yes—
294#2423C2212yes—
295#2423C2212yes—
296#2423C2212yes—
297#2423C2212yes—
298#2423C2212yes—
299#2417C2212yes—
300#2417C2212yes—
301#2417C2212yes—
302#2409C2212yes—
303#2409C2212yes—
304#2409C2212yes—
305#2396C2212yes—
306#2396C2212yes—
307C2×#395C2212yes—
308#2382C2211yescharacteristic
309#2379C2211yescharacteristic
310#2379C2211yescharacteristic
311#2378C2212yes—
312#2377C2212yes—
313#2376C2212yes—
314#2374C2212yes—
315#2372C2212yes—
316#2372C2212yes—
317#2371C2212yes—
318#2370C2212yes—
319#2370C2212yes—
320#2369C2212yes—
321#2369C2212yes—
322#2368C2212yes—
323#2368C2212yes—
324#2368C2212yes—
325#2368C2212yes—
326#2368C2212yes—
327#2368C2212yes—
328#2368C2212yes—
329#2368C2212yes—
330#2364C2212yes—
331#2363C2212yes—
332#2363C2212yes—
333#2363C2212yes—
334#2362C2212yes—
335#2361C2212yes—
336#2360C2212yes—
337#2360C2212yes—
338#2359C2212yes—
339#2359C2212yes—
340#2359C2212yes—
341#2359C2212yes—
342#2355C2211yescharacteristic
343Q8×C4⋊C4C2211yescharacteristic
344Q8×C4⋊C4C2211yescharacteristic
345#2349C2212yes—
346D4×C4⋊C4C2211yescharacteristic
347#2335C2212yes—
348#2335C2212yes—
349#2335C2212yes—
350#2335C2212yes—
351#2333C2212yes—
352#2332C2212yes—
353#2330C2212yes—
354#2329C2212yes—
355#2329C2212yes—
356#2329C2212yes—
357#2326C2212yes—
358#2326C2212yes—
359#2325C2212yes—
360#2325C2212yes—
361#2325C2212yes—
362#2324C2212yes—
363#2323C2212yes—
364#2323C2212yes—
365#2323C2212yes—
366#2322C2212yes—
367C4×#125C2211yescharacteristic
368C4×#124C2211yescharacteristic
369C4×#124C2211yescharacteristic
370C4×C22⋊Q8C2212yes—
371C4×C22⋊Q8C2212yes—
372C4×#123C2212yes—
373C4×#121C2212yes—
374#2296C2212yes—
375#2295C2211yescharacteristic
376#2295C2211yescharacteristic
377#2295C2211yescharacteristic
378C2×#391C2212yes—
379C23×Q8C2312yes—
380C23×Q8C2312yes—
381#562Q8116yescomplemented
382#557—44no—
383D4×Q8—44no—
384D4×Q8—48no—
385#544—48no—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2311yescharacteristic
412C2×#124C2311yescharacteristic
413C2×#124C2311yescharacteristic
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C42C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#399C2312yes—
496#399C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#398C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2311yescharacteristic
659#391C2311yescharacteristic
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2311yescharacteristic
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#391C2312yes—
700#391C2312yes—
701#391C2311yescharacteristic
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#390C2311yescharacteristic
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2311yescharacteristic
715#389C2311yescharacteristic
716#389C2311yescharacteristic
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2311yescharacteristic
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2311yescharacteristic
791#389C2312yes—
792#389C2311yescharacteristic
793#389C2311yescharacteristic
794#389C2312yes—
795#389C2312yes—
796#389C2311yescharacteristic
797#389C2311yescharacteristic
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#384C2312yes—
987#384C2312yes—
988#384C2312yes—
989#384C2312yes—
990#384C2312yes—
991#384C2312yes—
992#384C2311yescharacteristic
993#384C2311yescharacteristic
994#384C2311yescharacteristic
995#384C2312yes—
996#384C2312yes—
997#384C2311yescharacteristic
998#384C2312yes—
999#382C2311yescharacteristic
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2311yescharacteristic
1007#382C2311yescharacteristic
1008#381C2312yes—
1009#381C2312yes—
1010#380C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2311yescharacteristic
1036C4×C4⋊C4C2311yescharacteristic
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2311yescharacteristic
1042C4×C4⋊C4C2311yescharacteristic
1043C4×C4⋊C4C2311yescharacteristic
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C43C2311yescharacteristic
1103C22×Q8—28no—
1104C22×Q8—44no—
1105C22×Q8—82no—
1106C22×Q8—82no—
1107C22×Q8—82no—
1108C22×Q8—82no—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2412yes—
1117C22×Q8C2412yes—
1118C22×Q8C2412yes—
1119C22×Q8C2411yescharacteristic
1120C22×Q8C2411yescharacteristic
1121C22×Q8C2411yescharacteristic
1122C22×Q8C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2411yescharacteristic
1126C22×D4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C4⋊Q8—28no—
1142C4⋊Q8—28no—
1143C4⋊Q8—44no—
1144C4⋊Q8—42no—
1145C4⋊Q8—42no—
1146C4⋊Q8—44no—
1147C4⋊Q8—44no—
1148C4⋊Q8—44no—
1149C4⋊Q8—44no—
1150C4⋊Q8—82no—
1151C4⋊Q8—82no—
1152C4⋊Q8—82no—
1153C4⋊Q8—82no—
1154C4⋊Q8—82no—
1155C4⋊Q8—82no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—44no—
1161#125—44no—
1162#125—44no—
1163#125—44no—
1164#125—44no—
1165#125—82no—
1166#125C2×Q818yescomplemented
1167#124C2×Q818yescomplemented
1168#124C2×Q818yescomplemented
1169#123C2×Q8116yescomplemented
1170#123C2×Q8116yescomplemented
1171C22⋊Q8—28no—
1172C22⋊Q8—28no—
1173C22⋊Q8—28no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—82no—
1188C22⋊Q8—82no—
1189C22⋊Q8—82no—
1190C22⋊Q8—82no—
1191C22⋊Q8—82no—
1192C22⋊Q8—82no—
1193C22⋊Q8—82no—
1194C22⋊Q8—82no—
1195C22⋊Q8—82no—
1196C22⋊Q8C2×Q8116yescomplemented
1197C22⋊Q8C2×Q8116yescomplemented
1198#121C2×Q8116yescomplemented
1199#121C2×Q8116yescomplemented
1200C4×Q8—24no—
1201C4×Q8—24no—
1202C4×Q8—42no—
1203C4×Q8—42no—
1204C4×Q8—44no—
1205C4×Q8—42no—
1206C4×Q8—44no—
1207C4×Q8—44no—
1208C4×Q8—82no—
1209C4×Q8—82no—
1210C4×D4—42no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—42no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—44no—
1217C4×D4—82no—
1218C4×D4—82no—
1219C4×D4—82no—
1220#117—44no—
1221#117—44no—
1222#117—44no—
1223#117—82no—
1224C2×C4⋊C4—44no—
1225C2×C4⋊C4—82no—
1226C2×C4⋊C4—82no—
1227C2×C4⋊C4—82no—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2411yescharacteristic
1237C2×C4⋊C4C2411yescharacteristic
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C42—82no—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2411yescharacteristic
1399C2×C42C2411yescharacteristic
1400C2×C42C2411yescharacteristic
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2411yescharacteristic
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2411yescharacteristic
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540C24C2512yes—
1541C24C2512yes—
1542C2×Q8—24no—
1543C2×Q8—24no—
1544C2×Q8—24no—
1545C2×Q8—24no—
1546C2×Q8—24no—
1547C2×Q8—22no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—41no—
1553C2×Q8—42no—
1554C2×Q8—41no—
1555C2×Q8—42no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—41no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×Q8—42no—
1573C2×Q8—41no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8—42no—
1580C2×Q8—816no—
1581C2×Q8—816no—
1582C2×Q8C22×Q814yes—
1583C2×Q8C22×Q814yes—
1584C2×Q8H(5,𝔽2)14yes—
1585C2×Q82−1+414yes—
1586C2×D4—41no—
1587C2×D4—42no—
1588C2×D4—41no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—41no—
1592C2×D4—41no—
1593C2×D4—42no—
1594C2×D4C22×Q818yes—
1595C2×D4C22×Q818yes—
1596C2×D4C22×Q814yes—
1597C2×D4C22×Q814yes—
1598C22×C4—24no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—24no—
1603C22×C4—24no—
1604C22×C4—24no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4C22×Q818yes—
1639C22×C4C22×Q818yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2511yescharacteristic
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2511yescharacteristic
1662C22×C4C2511yescharacteristic
1663C22×C4C2511yescharacteristic
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2511yescharacteristic
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2511yescharacteristic
1672C22×C4C2511yescharacteristic
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—22no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—22no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—22no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—41no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—41no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—41no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—41no—
1725C4⋊C4—41no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—41no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—41no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—41no—
1751C4⋊C4—41no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—41no—
1760C4⋊C4—41no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—41no—
1782C4⋊C4—41no—
1783C4⋊C4—41no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—41no—
1788C4⋊C4—42no—
1789C4⋊C4—41no—
1790C4⋊C4C22×Q818yes—
1791C4⋊C4C22×Q818yes—
1792C4⋊C4C22×Q818yes—
1793C4⋊C4C22×Q818yes—
1794C4⋊C4C22×Q814yes—
1795C4⋊C4C22×Q814yes—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4C22×Q818yes—
1833C22⋊C4C22×Q818yes—
1834C22⋊C4C22×Q818yes—
1835C22⋊C4C22×Q818yes—
1836C22⋊C4C22×Q818yes—
1837C22⋊C4C22×Q818yes—
1838C42—24no—
1839C42—24no—
1840C42—24no—
1841C42—22no—
1842C42—22no—
1843C42—24no—
1844C42—24no—
1845C42—22no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—41no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—41no—
1873C42—41no—
1874C42C22×Q814yes—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23C23×Q814yes—
1888C23C23×Q814yes—
1889C23C2611yescharacteristic
1890Q8—44no—
1891Q8—44no—
1892Q8—44no—
1893Q8—44no—
1894Q8—48no—
1895Q8—84no—
1896Q8—82no—
1897Q8—84no—
1898Q8—84no—
1899Q8—84no—
1900Q8—84no—
1901Q8—84no—
1902Q8—162no—
1903Q8—162no—
1904D4—48no—
1905D4—44no—
1906D4—48no—
1907D4—44no—
1908C2×C4—21no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—22no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—21no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—21no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—21no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—48no—
1996C2×C4—48no—
1997C2×C4—48no—
1998C2×C4—84no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—84no—
2002C2×C4—84no—
2003C2×C4—84no—
2004C2×C4—84no—
2005C2×C4—84no—
2006C2×C4—162no—
2007C2×C4—162no—
2008C2×C4—162no—
2009C2×C4C23×Q812yes—
2010C2×C4C23×Q812yes—
2011C2×C4C23×Q812yes—
2012C2×C4C23×Q814yes—
2013C2×C4C23×Q814yes—
2014C2×C4C23×Q814yes—
2015C2×C4C23×Q814yes—
2016C2×C4C2×H(5,𝔽2)12yes—
2017C2×C4C2×H(5,𝔽2)14yes—
2018C2×C4C2×2−1+412yes—
2019C2×C4C2×2−1+414yes—
2020C2×C4#58512yes—
2021C22—24no—
2022C22—24no—
2023C22—24no—
2024C22—24no—
2025C22—24no—
2026C22—24no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22C24×Q811yescharacteristic
2036C22C22×H(5,𝔽2)11yescharacteristic
2037C22C22×2−1+411yescharacteristic
2038C22C2×#58511yescharacteristic
2039C22H(7,𝔽2)11yescharacteristic
2040C22H(7,𝔽2)11yescharacteristic
2041C222−1+611yescharacteristic
2042C4—24no—
2043C4—24no—
2044C4—22no—
2045C4—24no—
2046C4—24no—
2047C4—22no—
2048C4—22no—
2049C4—24no—
2050C4—22no—
2051C4—24no—
2052C4—22no—
2053C4—22no—
2054C4—42no—
2055C4—42no—
2056C4—41no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—42no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C2—44no—
2076C2—44no—
2077C2#6286211yescharacteristic
2078C2#6286511yescharacteristic
2079C2#6287211yescharacteristic
2080C2Q8×H(5,𝔽2)11yescharacteristic
2081C2#6298911yescharacteristic
2082C2Q8×2−1+411yescharacteristic
2083C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#562C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59928C2semidirect
2. #59928C2semidirect
3. #59927C2semidirect
4. #59923C2semidirect
5. #59921C2semidirect
6. #59912C2semidirect
7. #51605C2semidirect
8. #51604C2semidirect
9. #51603C2semidirect
10. #51598C2semidirect
11. #51594C2semidirect
12. #48856C2semidirect
13. #48841C2semidirect
14. #47983C2semidirect
15. #47969C2semidirect
16. #46848C2semidirect
17. #46845C2semidirect
18. #46843C2semidirect
19. #45099C2semidirect
20. #44879C2semidirect
21. #43891C2semidirect
22. #43570C2semidirect
23. #43569C2semidirect
24. #43565C2semidirect
25. #43561C2semidirect
26. #43553C2semidirect
27. #43551C2semidirect
28. #39689C2semidirect
29. #39658C2semidirect
30. #39633C2semidirect
31. #39625C2semidirect
32. #39616C2semidirect
33. #39615C2semidirect
381. #562Q8semidirect
1166. #125C2×Q8semidirect
1167. #124C2×Q8semidirect
1168. #124C2×Q8semidirect
1169. #123C2×Q8semidirect
1170. #123C2×Q8semidirect
1196. C22⋊Q8C2×Q8semidirect
1197. C22⋊Q8C2×Q8semidirect
1198. #121C2×Q8semidirect
1199. #121C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599282
#599272
#599232
#599212
#599122
#516052
#516042
#516032
#515982
#515942
#488562
#488412
#479832
#479692
#468482
#468452
#468432
#450992
#448792
#438912
#435702
#435692
#435652
#435612
#435532
#435512
#396892
#396582
#396332
#396252
#396162
#396152
#345222
#345192