Finite Group Databasebeta

← #7898301

Subgroups — #7898301

Order 512.

4545 conjugacy classes of subgroups.

The subgroup lattice has 2179 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59886C211yesmaximal, characteristic, complemented
2#59319C212yesmaximal, complemented
3C2×#2805C211yesmaximal, characteristic, complemented
4#52037C212yesmaximal, complemented
5#51599C212yesmaximal, complemented
6#50900C212yesmaximal, complemented
7#48853C212yesmaximal, complemented
8#47987C212yesmaximal, complemented
9#47975C212yesmaximal, complemented
10#46446C212yesmaximal, complemented
11#46439C212yesmaximal, complemented
12#46283C211yesmaximal, characteristic, complemented
13#45793C211yesmaximal, characteristic, complemented
14#44449C212yesmaximal, complemented
15#43961C212yesmaximal, complemented
16#43561C212yesmaximal, complemented
17#43557C212yesmaximal, complemented
18#43554C212yesmaximal, complemented
19#41997C212yesmaximal, complemented
20#40628C212yesmaximal, complemented
21#40620C212yesmaximal, complemented
22#40620C212yesmaximal, complemented
23#39751C211yesmaximal, characteristic, complemented
24#39708C211yesmaximal, characteristic, complemented
25#39686C212yesmaximal, complemented
26#39637C211yesmaximal, characteristic, complemented
27#39614C211yesmaximal, characteristic, complemented
28#39368C211yesmaximal, characteristic, complemented
29#38453C211yesmaximal, characteristic, complemented
30#38448C212yesmaximal, complemented
31#37877C212yesmaximal, complemented
32#37137C211yesmaximal, characteristic, complemented
33#37135C211yesmaximal, characteristic, complemented
34#36277C211yesmaximal, characteristic, complemented
35#36031C212yesmaximal, complemented
36#35575C212yesmaximal, complemented
37#35017C211yesmaximal, characteristic, complemented
38#34469C212yesmaximal
39#34308C211yesmaximal, characteristic
40C2×#554C2212yes—
41C2×#547C2211yescharacteristic
42C2×#544C2212yes—
43C2×#520C2212yes—
44#2863C2211yescharacteristic
45#2863C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2855C2211yescharacteristic
51#2855C2211yescharacteristic
52#2843C2212yes—
53#2841C2212yes—
54#2841C2212yes—
55#2841C2212yes—
56#2811C2212yes—
57#2809C2212yes—
58#2807C2212yes—
59#2806C2212yes—
60#2806C2212yes—
61#2806C2211yescharacteristic
62#2806C2212yes—
63#2806C2212yes—
64#2806C2212yes—
65#2805C2211yescharacteristic
66#2805C2211yescharacteristic
67#2805C2212yes—
68#2805C2212yes—
69#2805C2211yescharacteristic
70#2805C2212yes—
71#2805C2212yes—
72#2805C2212yes—
73#2805C2212yes—
74#2805C2212yes—
75#2805C2211yescharacteristic
76#2805C2211yescharacteristic
77#2804C2211yescharacteristic
78#2802C2212yes—
79#2802C2212yes—
80#2799C2212yes—
81#2799C2212yes—
82#2799C2212yes—
83#2792C2212yes—
84#2792C2212yes—
85#2792C2212yes—
86#2791C2212yes—
87#2791C2212yes—
88#2791C2212yes—
89#2791C2212yes—
90#2790C2212yes—
91#2790C2212yes—
92#2790C2212yes—
93#2790C2212yes—
94#2788C2212yes—
95#2788C2212yes—
96#2788C2212yes—
97#2788C2212yes—
98#2784C2212yes—
99#2784C2212yes—
100#2784C2212yes—
101#2780C2212yes—
102#2780C2212yes—
103#2774C2212yes—
104#2774C2212yes—
105#2774C2212yes—
106#2774C2212yes—
107#2755C2212yes—
108#2755C2212yes—
109#2755C2212yes—
110#2755C2212yes—
111#2755C2212yes—
112#2755C2212yes—
113#2755C2212yes—
114#2748C2212yes—
115#2742C2212yes—
116#2742C2212yes—
117#2734C2211yescharacteristic
118#2734C2211yescharacteristic
119#2732C2211yescharacteristic
120#2729C2212yes—
121#2729C2212yes—
122#2729C2212yes—
123#2729C2212yes—
124#2729C2212yes—
125#2726C2211yescharacteristic
126#2726C2211yescharacteristic
127#2726C2211yescharacteristic
128#2726C2211yescharacteristic
129#2720C2212yes—
130#2720C2212yes—
131#2720C2212yes—
132#2713C2212yes—
133#2713C2212yes—
134#2713C2212yes—
135#2713C2212yes—
136#2713C2212yes—
137#2713C2212yes—
138#2713C2212yes—
139#2704C2212yes—
140#2704C2212yes—
141#2704C2212yes—
142#2704C2212yes—
143#2704C2212yes—
144#2692C2212yes—
145#2692C2212yes—
146#2692C2212yes—
147#2683C2212yes—
148#2683C2211yescharacteristic
149#2683C2211yescharacteristic
150#2667C2212yes—
151#2667C2212yes—
152#2666C2212yes—
153#2666C2212yes—
154#2665C2212yes—
155#2665C2212yes—
156#2665C2212yes—
157#2665C2212yes—
158#2659C2212yes—
159#2659C2212yes—
160#2659C2212yes—
161#2647C2212yes—
162#2628C2212yes—
163#2627C2212yes—
164#2627C2212yes—
165#2627C2212yes—
166#2627C2212yes—
167#2608C2212yes—
168#2607C2212yes—
169#2607C2212yes—
170#2605C2212yes—
171#2605C2212yes—
172#2590C2212yes—
173#2590C2212yes—
174#2590C2212yes—
175#2589C2212yes—
176#2589C2212yes—
177#2588C2212yes—
178#2588C2212yes—
179#2588C2212yes—
180#2588C2212yes—
181#2588C2212yes—
182#2587C2212yes—
183#2587C2212yes—
184#2586C2212yes—
185#2586C2212yes—
186#2586C2212yes—
187#2586C2212yes—
188#2586C2212yes—
189#2585C2212yes—
190#2585C2212yes—
191#2585C2212yes—
192#2585C2212yes—
193#2585C2212yes—
194#2584C2212yes—
195#2584C2212yes—
196#2581C2212yes—
197#2579C2212yes—
198#2574C2212yes—
199#2574C2212yes—
200#2574C2212yes—
201#2569C2212yes—
202#2569C2212yes—
203#2569C2212yes—
204#2569C2212yes—
205#2568C2212yes—
206#2564C2212yes—
207#2564C2212yes—
208#2564C2212yes—
209#2564C2212yes—
210#2564C2212yes—
211#2564C2212yes—
212#2556C2212yes—
213#2551C2212yes—
214#2550C2212yes—
215#2549C2212yes—
216#2549C2212yes—
217#2549C2212yes—
218#2549C2212yes—
219#2549C2212yes—
220#2549C2212yes—
221#2549C2212yes—
222#2546C2212yes—
223#2522C2212yes—
224#2522C2212yes—
225#2520C2212yes—
226#2520C2212yes—
227#2520C2212yes—
228#2511C2211yescharacteristic
229#2508C2212yes—
230#2507C2212yes—
231#2507C2211yescharacteristic
232#2506C2212yes—
233#2506C2212yes—
234#2506C2212yes—
235#2506C2212yes—
236#2505C2212yes—
237#2505C2212yes—
238#2505C2212yes—
239#2505C2212yes—
240#2505C2212yes—
241#2502C2211yescharacteristic
242#2497C2212yes—
243#2497C2211yescharacteristic
244#2492C2212yes—
245#2492C2212yes—
246#2492C2211yescharacteristic
247#2492C2212yes—
248#2487C2211yescharacteristic
249#2487C2212yes—
250#2487C2211yescharacteristic
251#2473C2212yes—
252#2473C2212yes—
253#2473C2212yes—
254#2473C2212yes—
255#2465C2212yes—
256#2465C2212yes—
257#2465C2212yes—
258#2454C2212yes—
259#2454C2212yes—
260#2453C2212yes—
261#2453C2212yes—
262#2453C2212yes—
263#2453C2212yes—
264#2452C2212yes—
265#2452C2212yes—
266#2451C2212yes—
267#2451C2212yes—
268#2451C2211yescharacteristic
269#2451C2211yescharacteristic
270#2451C2212yes—
271#2450C2212yes—
272#2450C2212yes—
273#2450C2212yes—
274#2450C2212yes—
275#2450C2212yes—
276#2450C2212yes—
277#2450C2212yes—
278#2450C2212yes—
279#2450C2212yes—
280#2449C2212yes—
281#2449C2212yes—
282#2446C2212yes—
283#2446C2212yes—
284#2442C2212yes—
285#2442C2212yes—
286#2442C2212yes—
287#2442C2212yes—
288#2442C2212yes—
289#2441C2212yes—
290#2441C2212yes—
291#2440C2211yescharacteristic
292#2440C2212yes—
293#2440C2212yes—
294#2440C2212yes—
295#2440C2212yes—
296#2439C2212yes—
297#2439C2212yes—
298#2438C2212yes—
299#2438C2212yes—
300#2438C2212yes—
301#2438C2212yes—
302#2438C2212yes—
303#2438C2212yes—
304#2438C2212yes—
305#2438C2212yes—
306#2429C2212yes—
307#2423C2211yescharacteristic
308#2423C2211yescharacteristic
309#2417C2212yes—
310#2417C2212yes—
311#2417C2212yes—
312#2417C2212yes—
313#2417C2212yes—
314#2417C2212yes—
315#2417C2211yescharacteristic
316#2409C2211yescharacteristic
317#2409C2212yes—
318#2396C2212yes—
319C2×#400C2212yes—
320C2×#400C2212yes—
321C2×#400C2212yes—
322C2×#395C2212yes—
323#2381C2212yes—
324#2378C2212yes—
325#2377C2212yes—
326#2376C2212yes—
327#2374C2212yes—
328#2370C2212yes—
329#2368C2212yes—
330#2368C2212yes—
331#2368C2212yes—
332#2368C2212yes—
333#2365C2211yescharacteristic
334#2364C2212yes—
335#2361C2211yescharacteristic
336#2361C2211yescharacteristic
337#2360C2212yes—
338#2359C2212yes—
339#2359C2212yes—
340#2359C2212yes—
341#2359C2212yes—
342#2353C2212yes—
343#2353C2212yes—
344#2349C2212yes—
345#2349C2212yes—
346#2349C2212yes—
347D4×C4⋊C4C2211yescharacteristic
348D4×C4⋊C4C2211yescharacteristic
349#2345C2212yes—
350#2345C2211yescharacteristic
351#2344C2211yescharacteristic
352#2344C2211yescharacteristic
353#2344C2212yes—
354Q8×C22⋊C4C2211yescharacteristic
355#2339C2212yes—
356#2339C2212yes—
357#2339C2212yes—
358#2335C2212yes—
359#2335C2212yes—
360#2333C2212yes—
361#2332C2212yes—
362#2331C2212yes—
363#2329C2212yes—
364#2329C2212yes—
365#2329C2212yes—
366#2329C2212yes—
367#2325C2212yes—
368#2323C2212yes—
369#2322C2212yes—
370#2322C2212yes—
371#2322C2212yes—
372#2318C2212yes—
373#2318C2212yes—
374#2316C2212yes—
375#2313C2212yes—
376#2311C2212yes—
377C4×C4⋊Q8C2211yescharacteristic
378C4×C22⋊Q8C2211yescharacteristic
379C4×C22⋊Q8C2211yescharacteristic
380C4×#123C2212yes—
381C4×#121C2211yescharacteristic
382C4×#121C2211yescharacteristic
383#2297C2212yes—
384#2295C2211yescharacteristic
385C2×#391C2211yescharacteristic
386#2293C2211yescharacteristic
387C2×#389C2211yescharacteristic
388C2×#389C2211yescharacteristic
389C2×#389C2212yes—
390C2×#389C2211yescharacteristic
391C2×#387C2212yes—
392C2×#387C2212yes—
393#2285C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2312yes—
396C23×Q8C2311yescharacteristic
397#554—48no—
398#547Q8116yescomplemented
399#544—48no—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2311yescharacteristic
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
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⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2311yescharacteristic
444#520—48no—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2311yescharacteristic
485C22×C42C2312yes—
486C22×C42C2311yescharacteristic
487C22×C42C2311yescharacteristic
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
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#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
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#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2311yescharacteristic
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2311yescharacteristic
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2311yescharacteristic
712#391C2311yescharacteristic
713#391C2311yescharacteristic
714#391C2311yescharacteristic
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2311yescharacteristic
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2311yescharacteristic
725#391C2312yes—
726#391C2312yes—
727#391C2311yescharacteristic
728#391C2312yes—
729#391C2312yes—
730#391C2311yescharacteristic
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2311yescharacteristic
735#390C2312yes—
736#390C2311yescharacteristic
737#389C2312yes—
738#389C2311yescharacteristic
739#389C2311yescharacteristic
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#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2311yescharacteristic
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2311yescharacteristic
792#389C2311yescharacteristic
793#389C2311yescharacteristic
794#389C2311yescharacteristic
795#389C2311yescharacteristic
796#389C2311yescharacteristic
797#389C2311yescharacteristic
798#389C2311yescharacteristic
799#389C2311yescharacteristic
800#389C2311yescharacteristic
801#389C2311yescharacteristic
802#389C2312yes—
803#389C2311yescharacteristic
804#389C2311yescharacteristic
805#389C2312yes—
806#389C2311yescharacteristic
807#389C2311yescharacteristic
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2311yescharacteristic
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2311yescharacteristic
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2311yescharacteristic
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
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#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
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#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#384C2311yescharacteristic
1013#384C2311yescharacteristic
1014#384C2311yescharacteristic
1015#384C2311yescharacteristic
1016#384C2311yescharacteristic
1017#384C2312yes—
1018#384C2312yes—
1019#384C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2311yescharacteristic
1062#380C2312yes—
1063#380C2311yescharacteristic
1064#380C2312yes—
1065#380C2311yescharacteristic
1066#380C2311yescharacteristic
1067#380C2311yescharacteristic
1068#380C2311yescharacteristic
1069#380C2311yescharacteristic
1070#380C2311yescharacteristic
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2311yescharacteristic
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2311yescharacteristic
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2311yescharacteristic
1113C4×C22⋊C4C2311yescharacteristic
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2311yescharacteristic
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2311yescharacteristic
1129#376C2312yes—
1130C2×#95C2312yes—
1131C2×#95C2312yes—
1132C2×#95C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—44no—
1147C2×#41—44no—
1148C2×#41C2×Q8116yes—
1149C22×Q8—42no—
1150C22×Q8—42no—
1151C22×Q8—81no—
1152C22×Q8C2411yescharacteristic
1153C22×Q8C2412yes—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×Q8C2412yes—
1162C22×Q8C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C23×C4C2411yescharacteristic
1168C23×C4C2412yes—
1169C23×C4C2412yes—
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2411yescharacteristic
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2411yescharacteristic
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2411yescharacteristic
1185C23×C4C2411yescharacteristic
1186C23×C4C2412yes—
1187C23×C4C2411yescharacteristic
1188C4⋊Q8—44no—
1189C4⋊Q8—44no—
1190C4⋊Q8—44no—
1191C4⋊Q8—44no—
1192C4⋊Q8—44no—
1193C4⋊Q8—81no—
1194C4⋊Q8—81no—
1195C4⋊Q8—82no—
1196C4⋊Q8C2×Q818yescomplemented
1197#125—44no—
1198#125—44no—
1199#125—44no—
1200#125—44no—
1201#125—44no—
1202#125—44no—
1203#125—44no—
1204#125—82no—
1205#123C2×Q8116yes—
1206#123C2×Q8116yescomplemented
1207C22⋊Q8—24no—
1208C22⋊Q8—28no—
1209C22⋊Q8—44no—
1210C22⋊Q8—44no—
1211C22⋊Q8—44no—
1212C22⋊Q8—44no—
1213C22⋊Q8—44no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216C22⋊Q8—44no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219C22⋊Q8—44no—
1220C22⋊Q8—42no—
1221C22⋊Q8—44no—
1222C22⋊Q8—82no—
1223C22⋊Q8—82no—
1224C22⋊Q8—82no—
1225C22⋊Q8—81no—
1226C22⋊Q8—82no—
1227C22⋊Q8—82no—
1228C22⋊Q8—81no—
1229C22⋊Q8C2×Q8116yescomplemented
1230#121C2×Q818yes—
1231#121C2×Q818yescomplemented
1232C4×Q8—44no—
1233C4×Q8—44no—
1234C4×Q8—42no—
1235C4×Q8—44no—
1236C4×Q8—81no—
1237C4×Q8—81no—
1238C4×D4—24no—
1239C4×D4—28no—
1240C4×D4—44no—
1241C4×D4—44no—
1242C4×D4—44no—
1243C4×D4—44no—
1244C4×D4—42no—
1245C4×D4—44no—
1246C4×D4—44no—
1247C4×D4—44no—
1248C4×D4—44no—
1249C4×D4—81no—
1250C4×D4—81no—
1251C4×D4C2×Q818yes—
1252C4×D4C2×Q818yescomplemented
1253#117—44no—
1254#117—44no—
1255#117—44no—
1256#117—44no—
1257#117—44no—
1258C2×C4⋊C4—28no—
1259C2×C4⋊C4—24no—
1260C2×C4⋊C4—44no—
1261C2×C4⋊C4—44no—
1262C2×C4⋊C4—44no—
1263C2×C4⋊C4—44no—
1264C2×C4⋊C4—44no—
1265C2×C4⋊C4—42no—
1266C2×C4⋊C4—81no—
1267C2×C4⋊C4—81no—
1268C2×C4⋊C4—82no—
1269C2×C4⋊C4—81no—
1270C2×C4⋊C4C2×Q818yes—
1271C2×C4⋊C4C2×Q818yescomplemented
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2411yescharacteristic
1367C2×C4⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2411yescharacteristic
1384C2×C4⋊C4C2411yescharacteristic
1385C2×C4⋊C4C2411yescharacteristic
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2411yescharacteristic
1389C2×C4⋊C4C2412yes—
1390C2×C22⋊C4C2411yescharacteristic
1391C2×C22⋊C4C2411yescharacteristic
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2411yescharacteristic
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2411yescharacteristic
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2411yescharacteristic
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2411yescharacteristic
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C42—44no—
1432C2×C42—81no—
1433C2×C42—81no—
1434C2×C42C2411yescharacteristic
1435C2×C42C2412yes—
1436C2×C42C2411yescharacteristic
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2411yescharacteristic
1451C2×C42C2411yescharacteristic
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2411yescharacteristic
1456C2×C42C2411yescharacteristic
1457C2×C42C2411yescharacteristic
1458C2×C42C2411yescharacteristic
1459C2×C42C2411yescharacteristic
1460C2×C42C2411yescharacteristic
1461C2×C42C2411yescharacteristic
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1528#95C2411yescharacteristic
1529#95C2411yescharacteristic
1530#95C2411yescharacteristic
1531#95C2412yes—
1532#95C2411yescharacteristic
1533#95C2411yescharacteristic
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594C24C2512yes—
1595C24C2511yescharacteristic
1596C24C2511yescharacteristic
1597#41—432no—
1598C2×Q8—24no—
1599C2×Q8—22no—
1600C2×Q8—22no—
1601C2×Q8—22no—
1602C2×Q8—42no—
1603C2×Q8—41no—
1604C2×Q8—41no—
1605C2×Q8—42no—
1606C2×Q8—41no—
1607C2×Q8—42no—
1608C2×Q8—41no—
1609C2×Q8—42no—
1610C2×Q8—41no—
1611C2×Q8—42no—
1612C2×Q8—42no—
1613C2×Q8—41no—
1614C2×Q8—42no—
1615C2×Q8—42no—
1616C2×Q8—42no—
1617C2×Q8—42no—
1618C2×Q8—42no—
1619C2×Q8—42no—
1620C2×Q8—42no—
1621C2×Q8—42no—
1622C2×Q8—42no—
1623C2×Q8—42no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—88no—
1631C2×Q8C22×Q818yes—
1632C2×D4—24no—
1633C2×D4—22no—
1634C2×D4—24no—
1635C2×D4—22no—
1636C2×D4—42no—
1637C2×D4—41no—
1638C2×D4—41no—
1639C2×D4—42no—
1640C2×D4C22×Q814yes—
1641C2×D4C22×Q818yes—
1642C2×D4C22×Q814yes—
1643C2×D4C22×Q818yes—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—22no—
1647C22×C4—24no—
1648C22×C4—24no—
1649C22×C4—24no—
1650C22×C4—24no—
1651C22×C4—24no—
1652C22×C4—22no—
1653C22×C4—22no—
1654C22×C4—24no—
1655C22×C4—22no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—41no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—41no—
1668C22×C4—41no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—41no—
1675C22×C4—42no—
1676C22×C4—41no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4C22×Q818yes—
1702C22×C4C22×Q814yes—
1703C22×C4C22×Q814yes—
1704C22×C4C22×Q818yes—
1705C22×C4C22×Q818yes—
1706C22×C4H(5,𝔽2)14yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2511yescharacteristic
1712C22×C4C2512yes—
1713C22×C4C2511yescharacteristic
1714C22×C4C2511yescharacteristic
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2511yescharacteristic
1731C22×C4C2512yes—
1732C22×C4C2511yescharacteristic
1733C22×C4C2511yescharacteristic
1734C22×C4C2511yescharacteristic
1735C22×C4C2511yescharacteristic
1736C22×C4C2511yescharacteristic
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2511yescharacteristic
1741C22×C4C2511yescharacteristic
1742C22×C4C2511yescharacteristic
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—22no—
1749C4⋊C4—22no—
1750C4⋊C4—22no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—22no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—22no—
1760C4⋊C4—22no—
1761C4⋊C4—24no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—41no—
1768C4⋊C4—41no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—41no—
1777C4⋊C4—41no—
1778C4⋊C4—41no—
1779C4⋊C4—41no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—41no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—41no—
1792C4⋊C4—41no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—41no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—41no—
1821C4⋊C4—41no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—41no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4C22×Q814yes—
1855C4⋊C4C22×Q814yes—
1856C4⋊C4C22×Q818yes—
1857C4⋊C4C22×Q814yes—
1858C4⋊C4C22×Q818yes—
1859C4⋊C4C22×Q814yes—
1860C4⋊C4C22×Q818yes—
1861C22⋊C4—22no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—22no—
1868C22⋊C4—22no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—41no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4C22×Q814yes—
1898C22⋊C4C22×Q814yes—
1899C22⋊C4C22×Q818yes—
1900C22⋊C4C22×Q818yes—
1901C22⋊C4C22×Q818yes—
1902C42—22no—
1903C42—24no—
1904C42—22no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—41no—
1910C42—41no—
1911C42—41no—
1912C42—41no—
1913C42—41no—
1914C42—41no—
1915C42—41no—
1916C42—41no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—41no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—41no—
1932C42—42no—
1933C42—42no—
1934C42—42no—
1935C42—42no—
1936C42—42no—
1937C42C22×Q814yes—
1938C23—21no—
1939C23—21no—
1940C23—21no—
1941C23—21no—
1942C23—22no—
1943C23—21no—
1944C23—22no—
1945C23—21no—
1946C23—22no—
1947C23—21no—
1948C23—22no—
1949C23—21no—
1950C23—21no—
1951C23—22no—
1952C23—21no—
1953C23—22no—
1954C23C23×Q814yes—
1955C23C23×Q812yes—
1956C23C23×Q812yes—
1957C23C2×H(5,𝔽2)12yes—
1958C23#58512yes—
1959C23C2611yescharacteristic
1960Q8—48no—
1961Q8—44no—
1962Q8—84no—
1963Q8—82no—
1964Q8—82no—
1965Q8—84no—
1966Q8—162no—
1967Q8—162no—
1968Q8—162no—
1969Q8—162no—
1970Q8—162no—
1971D4—216no—
1972D4—28no—
1973D4—44no—
1974D4—48no—
1975C2×C4—22no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—21no—
1995C2×C4—21no—
1996C2×C4—21no—
1997C2×C4—216no—
1998C2×C4—21no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—21no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—21no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—21no—
2036C2×C4—21no—
2037C2×C4—21no—
2038C2×C4—21no—
2039C2×C4—21no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—21no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—21no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—44no—
2074C2×C4—44no—
2075C2×C4—48no—
2076C2×C4—48no—
2077C2×C4—44no—
2078C2×C4—44no—
2079C2×C4—84no—
2080C2×C4—82no—
2081C2×C4—82no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—84no—
2087C2×C4—162no—
2088C2×C4—162no—
2089C2×C4—162no—
2090C2×C4—162no—
2091C2×C4—162no—
2092C2×C4—162no—
2093C2×C4C23×Q812yes—
2094C2×C4C23×Q812yes—
2095C2×C4C23×Q812yes—
2096C2×C4C23×Q812yes—
2097C2×C4C23×Q812yes—
2098C2×C4C23×Q814yes—
2099C2×C4C23×Q814yes—
2100C2×C4C23×Q814yes—
2101C2×C4C2×H(5,𝔽2)12yes—
2102C2×C4C2×H(5,𝔽2)12yes—
2103C2×C4#58512yes—
2104C22—22no—
2105C22—22no—
2106C22—22no—
2107C22—22no—
2108C22—22no—
2109C22—22no—
2110C22—24no—
2111C22—22no—
2112C22—22no—
2113C22—24no—
2114C22—22no—
2115C22—24no—
2116C22—42no—
2117C22—41no—
2118C22—41no—
2119C22—42no—
2120C22—41no—
2121C22—42no—
2122C22—42no—
2123C22—41no—
2124C22#350114yes—
2125C22C24×Q811yescharacteristic
2126C22C22×H(5,𝔽2)11yescharacteristic
2127C22C2×#58511yescharacteristic
2128C22C2×#58511yescharacteristic
2129C22H(7,𝔽2)11yescharacteristic
2130C222−1+611yescharacteristic
2131C222−1+611yescharacteristic
2132C4—22no—
2133C4—24no—
2134C4—24no—
2135C4—22no—
2136C4—24no—
2137C4—22no—
2138C4—22no—
2139C4—22no—
2140C4—22no—
2141C4—22no—
2142C4—22no—
2143C4—41no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—41no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—41no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—41no—
2160C4—42no—
2161C4—41no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C2—24no—
2169C2—42no—
2170C2—44no—
2171C2C2×#350111yescharacteristic
2172C2#6285411yescharacteristic
2173C2#6286611yescharacteristic
2174C2#6290611yescharacteristic
2175C2#6293111yescharacteristic
2176C2#6300411yescharacteristic
2177C2#6306411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#547C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59886C2semidirect
2. #59319C2semidirect
3. C2×#2805C2semidirect
4. #52037C2semidirect
5. #51599C2semidirect
6. #50900C2semidirect
7. #48853C2semidirect
8. #47987C2semidirect
9. #47975C2semidirect
10. #46446C2semidirect
11. #46439C2semidirect
12. #46283C2semidirect
13. #45793C2semidirect
14. #44449C2semidirect
15. #43961C2semidirect
16. #43561C2semidirect
17. #43557C2semidirect
18. #43554C2semidirect
19. #41997C2semidirect
20. #40628C2semidirect
21. #40620C2semidirect
22. #40620C2semidirect
23. #39751C2semidirect
24. #39708C2semidirect
25. #39686C2semidirect
26. #39637C2semidirect
27. #39614C2semidirect
28. #39368C2semidirect
29. #38453C2semidirect
30. #38448C2semidirect
31. #37877C2semidirect
32. #37137C2semidirect
33. #37135C2semidirect
34. #36277C2semidirect
35. #36031C2semidirect
36. #35575C2semidirect
37. #35017C2semidirect
398. #547Q8semidirect
1196. C4⋊Q8C2×Q8semidirect
1206. #123C2×Q8semidirect
1229. C22⋊Q8C2×Q8semidirect
1231. #121C2×Q8semidirect
1252. C4×D4C2×Q8semidirect
1271. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#598862
#593192
C2×#28052
#520372
#515992
#509002
#488532
#479872
#479752
#464462
#464392
#462832
#457932
#444492
#439612
#435612
#435572
#435542
#419972
#406282
#406202
#397512
#397082
#396862
#396372
#396142
#393682
#384532
#384482
#378772
#371372
#371352
#362772
#360312
#355752
#350172
#344692
#343082