Finite Group Databasebeta

← #8072206

Subgroups — #8072206

Order 512.

4437 conjugacy classes of subgroups.

The subgroup lattice has 2090 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59931C212yesmaximal, complemented
2#59916C212yesmaximal, complemented
3#59864C211yesmaximal, characteristic, complemented
4#59771C212yesmaximal, complemented
5#59453C212yesmaximal, complemented
6#52036C212yesmaximal, complemented
7#51787C212yesmaximal, complemented
8#51596C212yesmaximal, complemented
9#51217C212yesmaximal, complemented
10#50906C212yesmaximal, complemented
11#48863C212yesmaximal, complemented
12#48840C212yesmaximal, complemented
13#47981C212yesmaximal, complemented
14#47965C212yesmaximal, complemented
15#47025C211yesmaximal, characteristic, complemented
16#46443C212yesmaximal, complemented
17#46431C211yesmaximal, characteristic, complemented
18#46431C212yesmaximal, complemented
19#44945C212yesmaximal, complemented
20#44463C211yesmaximal, characteristic, complemented
21#43564C212yesmaximal, complemented
22#43550C212yesmaximal, complemented
23#43550C212yesmaximal, complemented
24#43512C211yesmaximal, characteristic, complemented
25#43144C212yesmaximal, complemented
26#43128C212yesmaximal, complemented
27#43121C212yesmaximal, complemented
28#43081C212yesmaximal, complemented
29#39705C212yesmaximal, complemented
30#39694C212yesmaximal, complemented
31#39670C212yesmaximal, complemented
32#39663C212yesmaximal, complemented
33#39628C211yesmaximal, characteristic, complemented
34#34520C211yesmaximal, characteristic
35#34517C212yesmaximal
36C2×#560C2211yescharacteristic
37#2862C2211yescharacteristic, complemented
38#2851C2212yescomplemented
39#2842C2211yescharacteristic
40#2841C2211yescharacteristic, complemented
41#2807C2211yescharacteristic
42#2807C2212yes—
43#2807C2212yes—
44#2807C2212yes—
45#2807C2211yescharacteristic, complemented
46#2806C2212yescomplemented
47#2806C2212yescomplemented
48#2805C2212yescomplemented
49#2805C2212yescomplemented
50#2804C2212yes—
51#2804C2212yes—
52#2804C2212yes—
53#2804C2212yes—
54#2804C2212yescomplemented
55#2804C2211yescharacteristic, complemented
56#2804C2211yescharacteristic, complemented
57#2802C2212yescomplemented
58#2802C2212yescomplemented
59#2802C2212yescomplemented
60#2791C2212yescomplemented
61#2788C2212yes—
62#2788C2212yes—
63#2788C2212yes—
64#2788C2212yes—
65#2788C2212yes—
66#2788C2212yes—
67#2788C2212yes—
68#2788C2212yescomplemented
69#2784C2212yes—
70#2784C2212yes—
71#2784C2212yes—
72#2784C2212yes—
73#2780C2212yes—
74#2780C2212yes—
75#2780C2212yes—
76#2780C2212yes—
77#2780C2212yes—
78#2780C2212yescomplemented
79#2780C2212yescomplemented
80#2774C2212yescomplemented
81#2774C2212yescomplemented
82#2774C2212yescomplemented
83#2774C2212yescomplemented
84#2774C2212yescomplemented
85#2774C2212yescomplemented
86#2768C2212yes—
87#2768C2212yes—
88#2768C2212yes—
89#2768C2212yes—
90#2768C2212yes—
91#2768C2212yescomplemented
92#2768C2212yescomplemented
93#2763C2212yes—
94#2763C2212yes—
95#2763C2212yes—
96#2763C2212yes—
97#2763C2212yescomplemented
98#2755C2212yescomplemented
99#2755C2212yescomplemented
100#2755C2212yescomplemented
101#2748C2212yes—
102#2748C2212yes—
103#2748C2212yes—
104#2748C2212yes—
105#2748C2212yes—
106#2748C2212yescomplemented
107#2742C2212yes—
108#2742C2212yes—
109#2742C2212yes—
110#2742C2211yescharacteristic, complemented
111#2742C2212yescomplemented
112#2734C2212yescomplemented
113#2732C2212yes—
114#2732C2212yes—
115#2732C2212yes—
116#2732C2212yes—
117#2732C2212yescomplemented
118#2729C2212yes—
119#2729C2212yes—
120#2729C2212yescomplemented
121#2729C2212yescomplemented
122#2720C2212yes—
123#2692C2212yes—
124#2692C2212yes—
125#2692C2212yes—
126#2692C2212yes—
127#2692C2212yes—
128#2692C2212yescomplemented
129#2692C2212yescomplemented
130#2683C2212yescomplemented
131#2677C2212yes—
132#2677C2211yescharacteristic
133#2677C2212yescomplemented
134#2667C2212yescomplemented
135#2666C2212yescomplemented
136#2666C2212yescomplemented
137#2665C2212yescomplemented
138#2659C2212yescomplemented
139#2647C2212yescomplemented
140#2646C2212yescomplemented
141#2628C2212yescomplemented
142#2628C2212yescomplemented
143#2607C2211yescharacteristic, complemented
144#2606C2212yescomplemented
145#2605C2212yescomplemented
146#2590C2212yescomplemented
147#2590C2212yescomplemented
148#2590C2212yescomplemented
149#2590C2212yescomplemented
150#2589C2212yes—
151#2589C2212yes—
152#2589C2212yes—
153#2589C2212yes—
154#2589C2212yes—
155#2589C2212yes—
156#2589C2212yescomplemented
157#2589C2212yescomplemented
158#2588C2212yescomplemented
159#2588C2212yescomplemented
160#2587C2212yes—
161#2587C2212yes—
162#2587C2212yes—
163#2587C2212yescomplemented
164#2587C2212yescomplemented
165#2586C2212yescomplemented
166#2586C2212yescomplemented
167#2586C2212yescomplemented
168#2585C2212yescomplemented
169#2583C2212yes—
170#2583C2212yescomplemented
171#2580C2212yes—
172#2580C2212yes—
173#2580C2212yes—
174#2580C2212yes—
175#2580C2211yescharacteristic
176#2580C2212yescomplemented
177#2580C2212yescomplemented
178#2580C2211yescharacteristic, complemented
179#2579C2212yes—
180#2574C2212yes—
181#2574C2212yes—
182#2574C2212yes—
183#2574C2212yes—
184#2574C2212yescomplemented
185#2571C2211yescharacteristic, complemented
186#2571C2211yescharacteristic, complemented
187#2569C2212yescomplemented
188#2564C2212yes—
189#2564C2212yes—
190#2564C2212yes—
191#2564C2212yes—
192#2564C2212yes—
193#2564C2212yescomplemented
194#2563C2212yes—
195#2563C2212yes—
196#2563C2212yescomplemented
197#2556C2212yes—
198#2556C2212yescomplemented
199#2550C2212yescomplemented
200#2549C2212yes—
201#2549C2211yescharacteristic
202#2549C2212yescomplemented
203#2549C2212yescomplemented
204#2549C2211yescharacteristic, complemented
205#2546C2212yescomplemented
206#2546C2212yescomplemented
207#2522C2212yes—
208#2522C2212yes—
209#2522C2212yes—
210#2522C2212yes—
211#2522C2212yes—
212#2520C2212yescomplemented
213#2520C2212yescomplemented
214#2511C2212yescomplemented
215#2509C2212yescomplemented
216#2509C2212yescomplemented
217#2509C2212yescomplemented
218#2508C2212yescomplemented
219#2508C2212yescomplemented
220#2508C2212yescomplemented
221#2505C2212yes—
222#2505C2212yes—
223#2505C2212yes—
224#2505C2212yes—
225#2505C2212yes—
226#2505C2212yes—
227#2505C2212yes—
228#2505C2212yescomplemented
229#2505C2212yescomplemented
230#2492C2212yes—
231#2492C2212yes—
232#2492C2212yescomplemented
233#2487C2212yes—
234#2487C2211yescharacteristic
235#2487C2212yes—
236#2487C2211yescharacteristic
237#2487C2212yescomplemented
238#2473C2212yes—
239#2473C2212yes—
240#2473C2212yescomplemented
241#2465C2212yes—
242#2465C2212yes—
243#2465C2212yescomplemented
244#2465C2212yescomplemented
245#2462C2212yescomplemented
246#2462C2212yescomplemented
247#2454C2212yes—
248#2454C2212yes—
249#2452C2212yes—
250#2452C2212yes—
251#2452C2212yes—
252#2452C2212yes—
253#2452C2212yes—
254#2452C2212yescomplemented
255#2451C2212yescomplemented
256#2451C2212yescomplemented
257#2450C2212yes—
258#2450C2212yes—
259#2450C2212yes—
260#2450C2212yes—
261#2450C2212yes—
262#2450C2212yes—
263#2450C2212yes—
264#2450C2212yes—
265#2450C2212yes—
266#2450C2212yescomplemented
267#2450C2212yescomplemented
268#2450C2212yescomplemented
269#2450C2212yescomplemented
270#2450C2212yescomplemented
271#2449C2212yes—
272#2449C2212yes—
273#2449C2212yes—
274#2449C2212yes—
275#2449C2212yes—
276#2449C2212yescomplemented
277#2446C2212yescomplemented
278#2442C2212yescomplemented
279#2439C2212yescomplemented
280#2439C2212yescomplemented
281#2439C2212yescomplemented
282#2438C2212yescomplemented
283#2438C2212yescomplemented
284#2438C2212yescomplemented
285#2437C2212yes—
286#2437C2212yes—
287#2437C2212yes—
288#2437C2211yescharacteristic
289#2437C2212yes—
290#2434C2212yes—
291#2434C2212yes—
292#2429C2212yes—
293#2429C2212yes—
294#2429C2212yes—
295#2423C2212yes—
296#2417C2212yes—
297#2417C2212yescomplemented
298#2409C2212yes—
299#2409C2212yes—
300#2409C2212yes—
301#2396C2212yescomplemented
302C2×#400C2211yescharacteristic, complemented
303C2×#399C2211yescharacteristic
304C2×#393C2212yes—
305#2383C2212yes—
306#2380C2211yescharacteristic
307#2377C2212yes—
308#2377C2212yes—
309#2376C2212yes—
310#2374C2211yescharacteristic
311#2373C2212yes—
312#2373C2212yes—
313#2370C2212yescomplemented
314#2369C2212yescomplemented
315#2368C2212yes—
316#2368C2212yes—
317#2368C2212yescomplemented
318#2366C2212yes—
319#2365C2212yescomplemented
320#2364C2212yes—
321#2364C2212yes—
322#2364C2212yes—
323#2363C2212yes—
324#2363C2212yes—
325#2363C2212yes—
326#2361C2212yes—
327#2360C2212yes—
328#2359C2212yes—
329#2359C2212yes—
330#2359C2212yes—
331#2358C2211yescharacteristic
332#2358C2212yes—
333#2358C2212yes—
334#2358C2212yes—
335#2358C2212yes—
336#2349C2212yes—
337#2349C2212yes—
338#2349C2212yes—
339#2349C2211yescharacteristic
340#2349C2211yescharacteristic, complemented
341D4×C4⋊C4C2212yes—
342D4×C4⋊C4C2212yescomplemented
343#2345C2211yescharacteristic
344#2345C2211yescharacteristic, complemented
345Q8×C22⋊C4C2212yes—
346#2335C2212yes—
347#2335C2212yes—
348#2335C2212yes—
349#2334C2212yes—
350#2334C2212yes—
351#2333C2212yes—
352#2329C2212yescomplemented
353#2328C2212yes—
354#2325C2212yes—
355#2325C2212yes—
356#2325C2212yes—
357#2324C2212yes—
358#2324C2212yes—
359#2324C2212yes—
360#2322C2211yescharacteristic
361#2321C2212yes—
362#2321C2212yes—
363#2321C2212yes—
364#2321C2212yes—
365#2321C2211yescharacteristic
366#2316C2211yescharacteristic, complemented
367#2315C2211yescharacteristic
368#2315C2212yes—
369C4×C4⋊Q8C2212yescomplemented
370C4×#127C2211yescharacteristic
371C4×#126C2212yes—
372C4×C22⋊Q8C2212yescomplemented
373C4×#123C2212yes—
374C4×#121C2212yes—
375C4×#121C2212yes—
376#2296C2212yescomplemented
377#2295C2211yescharacteristic, complemented
378C2×#387C2212yescomplemented
379C23×Q8C2312yes—
380#560Q8116yescomplemented
381C2×C4⋊Q8C2312yes—
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×#127C2311yescharacteristic
389C2×#126C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#123C2311yescharacteristic
393C2×#123C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#120C2311yescharacteristic
418C2×#120C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C42C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2311yescharacteristic
467#400C2312yes—
468#400C2311yescharacteristic
469#400C2312yes—
470#400C2311yescharacteristic
471#400C2311yescharacteristic
472#400C2312yes—
473#400C2312yes—
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#400C2312yes—
496#400C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2311yescharacteristic
504#399C2311yescharacteristic
505#399C2312yes—
506#399C2311yescharacteristic
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2311yescharacteristic
511#399C2311yescharacteristic
512#399C2311yescharacteristic
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
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#396C2312yes—
566#396C2312yes—
567#396C2312yes—
568#396C2312yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
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#395C2312yes—
592#395C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
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#393C2312yes—
617#393C2312yes—
618#393C2312yes—
619#393C2312yes—
620#393C2312yes—
621#393C2312yes—
622#393C2312yes—
623#393C2312yes—
624#393C2312yes—
625#393C2312yes—
626#393C2312yes—
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#393C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2312yes—
634#393C2311yescharacteristic
635#393C2312yes—
636#393C2311yescharacteristic
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
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#390C2312yes—
678#390C2312yes—
679#390C2311yescharacteristic
680#390C2311yescharacteristic
681#390C2312yes—
682#390C2312yes—
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
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#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#387C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
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#386C2312yes—
867#386C2311yescharacteristic
868#386C2312yes—
869#386C2312yes—
870#386C2312yes—
871#386C2312yes—
872#386C2312yes—
873#386C2312yes—
874#386C2312yes—
875#386C2312yes—
876#386C2312yes—
877#386C2312yes—
878#386C2312yes—
879#386C2312yes—
880#386C2312yes—
881#386C2312yes—
882#386C2312yes—
883#386C2312yes—
884#386C2312yes—
885#386C2312yes—
886#386C2311yescharacteristic
887#386C2312yes—
888#386C2312yes—
889#386C2312yes—
890#386C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#385C2312yes—
904#385C2312yes—
905#385C2312yes—
906#385C2312yes—
907#385C2312yes—
908#385C2312yes—
909#385C2312yes—
910#385C2312yes—
911#385C2312yes—
912#385C2312yes—
913#385C2312yes—
914#385C2312yes—
915#385C2312yes—
916#385C2312yes—
917#385C2312yes—
918#385C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
931#385C2311yescharacteristic
932#385C2312yes—
933#385C2311yescharacteristic
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
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#384C2311yescharacteristic
983#384C2312yes—
984#383C2312yes—
985#382C2312yes—
986#382C2312yes—
987#382C2312yes—
988#382C2312yes—
989#382C2312yes—
990#382C2312yes—
991#382C2312yes—
992#382C2312yes—
993#382C2312yes—
994#382C2311yescharacteristic
995#382C2312yes—
996#382C2312yes—
997#382C2311yescharacteristic
998#382C2312yes—
999#381C2311yescharacteristic
1000#381C2312yes—
1001#380C2311yescharacteristic
1002#380C2312yes—
1003#380C2312yes—
1004#380C2312yes—
1005#380C2312yes—
1006#380C2312yes—
1007#380C2312yes—
1008#380C2312yes—
1009#380C2311yescharacteristic
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#380C2311yescharacteristic
1024#380C2311yescharacteristic
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#379C2312yes—
1037#379C2311yescharacteristic
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2311yescharacteristic
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2311yescharacteristic
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—
1086#376C2312yes—
1087C2×#95C2311yescharacteristic
1088C2×#95C2312yes—
1089C2×#95C2312yes—
1090C2×#95C2312yes—
1091C2×#95C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2311yescharacteristic
1098C43C2311yescharacteristic
1099C25C2411yescharacteristic
1100C22×Q8—44no—
1101C22×Q8—82no—
1102C22×Q8—82no—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C4⋊Q8—44no—
1142C4⋊Q8—44no—
1143C4⋊Q8—44no—
1144C4⋊Q8—82no—
1145C4⋊Q8—82no—
1146C4⋊Q8—82no—
1147C4⋊Q8—82no—
1148#127C2×Q818yescomplemented
1149#126C2×Q8116yescomplemented
1150#125—44no—
1151#125—82no—
1152#123C2×Q818yescomplemented
1153#123C2×Q8116yescomplemented
1154C22⋊Q8—44no—
1155C22⋊Q8—44no—
1156C22⋊Q8—44no—
1157C22⋊Q8—44no—
1158C22⋊Q8—44no—
1159C22⋊Q8—44no—
1160C22⋊Q8—82no—
1161C22⋊Q8—82no—
1162C22⋊Q8—82no—
1163C22⋊Q8—82no—
1164C22⋊Q8—82no—
1165C22⋊Q8—82no—
1166C22⋊Q8—82no—
1167C22⋊Q8—82no—
1168C22⋊Q8—82no—
1169C22⋊Q8—82no—
1170C22⋊Q8—82no—
1171C22⋊Q8—82no—
1172C22⋊Q8—82no—
1173C22⋊Q8—82no—
1174#121C2×Q8116yescomplemented
1175#121C2×Q8116yescomplemented
1176#121C2×Q8116yescomplemented
1177#120C2×Q818yes—
1178#120C2×Q8116yes—
1179C4×Q8—42no—
1180C4×Q8—82no—
1181C4×Q8—82no—
1182C4×Q8—82no—
1183C4×Q8—82no—
1184C4×D4—44no—
1185C4×D4—44no—
1186C4×D4—44no—
1187C4×D4—42no—
1188C4×D4—42no—
1189C4×D4—44no—
1190C4×D4—44no—
1191C4×D4—82no—
1192C4×D4—82no—
1193C4×D4—82no—
1194C4×D4—82no—
1195C4×D4—82no—
1196C4×D4—82no—
1197C4×D4—82no—
1198C4×D4—82no—
1199C4×D4—82no—
1200C4×D4—82no—
1201C4×D4—82no—
1202C4×D4—82no—
1203#117—44no—
1204#117—82no—
1205#117—82no—
1206C2×C4⋊C4—42no—
1207C2×C4⋊C4—44no—
1208C2×C4⋊C4—42no—
1209C2×C4⋊C4—42no—
1210C2×C4⋊C4—82no—
1211C2×C4⋊C4—82no—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2411yescharacteristic
1228C2×C4⋊C4C2411yescharacteristic
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
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×C22⋊C4—42no—
1311C2×C22⋊C4—44no—
1312C2×C22⋊C4—82no—
1313C2×C22⋊C4—82no—
1314C2×C22⋊C4—82no—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2411yescharacteristic
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2411yescharacteristic
1360C2×C22⋊C4C2411yescharacteristic
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2411yescharacteristic
1377C2×C22⋊C4C2412yes—
1378C2×C42—82no—
1379C2×C42C2412yes—
1380C2×C42C2411yescharacteristic
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2411yescharacteristic
1406C2×C42C2412yes—
1407C2×C42C2411yescharacteristic
1408#95C2411yescharacteristic
1409#95C2412yes—
1410#95C2411yescharacteristic
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2411yescharacteristic
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2411yescharacteristic
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#95C2411yescharacteristic
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2411yescharacteristic
1509#95C2411yescharacteristic
1510#95C2411yescharacteristic
1511#95C2411yescharacteristic
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2411yescharacteristic
1522C24—42no—
1523C24—41no—
1524C24—41no—
1525C24—42no—
1526C24C22×Q814yes—
1527C24C2512yes—
1528C24C2511yescharacteristic
1529C24C2512yes—
1530C24C2511yescharacteristic
1531C2×Q8—24no—
1532C2×Q8—24no—
1533C2×Q8—24no—
1534C2×Q8—24no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×Q8—816no—
1558C2×D4—41no—
1559C2×D4—41no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—41no—
1571C2×D4—41no—
1572C2×D4C22×Q818yes—
1573C2×D4C22×Q818yes—
1574C2×D4C22×Q818yes—
1575C2×D4C22×Q814yes—
1576C2×D4C22×Q818yes—
1577C2×D4C22×Q818yes—
1578C2×D4C22×Q814yes—
1579C22×C4—22no—
1580C22×C4—24no—
1581C22×C4—22no—
1582C22×C4—24no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—42no—
1586C22×C4—41no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—41no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—41no—
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×C4—42no—
1639C22×C4C22×Q814yes—
1640C22×C4C22×Q818yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2511yescharacteristic
1649C22×C4C2511yescharacteristic
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2511yescharacteristic
1664C22×C4C2512yes—
1665C22×C4C2511yescharacteristic
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2511yescharacteristic
1671C22×C4C2512yes—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—41no—
1683C4⋊C4—41no—
1684C4⋊C4—41no—
1685C4⋊C4—41no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—41no—
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—42no—
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—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
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—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4C22×Q818yes—
1768C4⋊C4C22×Q818yes—
1769C4⋊C4C22×Q818yes—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—41no—
1798C22⋊C4—41no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
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—41no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—41no—
1826C22⋊C4C22×Q818yes—
1827C22⋊C4C22×Q818yes—
1828C22⋊C4C22×Q818yes—
1829C22⋊C4C22×Q818yes—
1830C22⋊C4C22×Q814yes—
1831C22⋊C4C22×Q814yes—
1832C22⋊C4C22×Q818yes—
1833C42—24no—
1834C42—22no—
1835C42—24no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—41no—
1861C42C22×Q814yes—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23—21no—
1870C23—21no—
1871C23—22no—
1872C23—21no—
1873C23—21no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—48no—
1883C23—44no—
1884C23—161no—
1885C23—162no—
1886C23—161no—
1887C23C23×Q814yes—
1888C23C23×Q812yes—
1889C23C23×Q814yes—
1890C23C23×Q812yes—
1891C23C2611yescharacteristic
1892Q8—48no—
1893Q8—84no—
1894Q8—84no—
1895Q8—84no—
1896Q8—82no—
1897Q8—84no—
1898Q8—84no—
1899Q8—162no—
1900Q8—162no—
1901D4—48no—
1902D4—48no—
1903D4—48no—
1904D4—44no—
1905D4—48no—
1906D4—44no—
1907D4—48no—
1908C2×C4—21no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—21no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—21no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—21no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
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—48no—
1991C2×C4—44no—
1992C2×C4—82no—
1993C2×C4—82no—
1994C2×C4—84no—
1995C2×C4—84no—
1996C2×C4—84no—
1997C2×C4—84no—
1998C2×C4—84no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—84no—
2002C2×C4—162no—
2003C2×C4—161no—
2004C2×C4—162no—
2005C2×C4—162no—
2006C2×C4—162no—
2007C2×C4—162no—
2008C2×C4—162no—
2009C2×C4—162no—
2010C2×C4—162no—
2011C2×C4—161no—
2012C2×C4C23×Q812yes—
2013C2×C4C23×Q814yes—
2014C2×C4C23×Q814yes—
2015C2×C4C23×Q814yes—
2016C2×C4C23×Q814yes—
2017C2×C4#58514yes—
2018C2×C4#58512yes—
2019C22—24no—
2020C22—22no—
2021C22—24no—
2022C22—24no—
2023C22—24no—
2024C22—24no—
2025C22—24no—
2026C22—24no—
2027C22—22no—
2028C22—24no—
2029C22—41no—
2030C22—42no—
2031C22—41no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—41no—
2041C22—41no—
2042C22—42no—
2043C22—164no—
2044C22C24×Q811yescharacteristic
2045C22C2×#58512yes—
2046C22C2×#58511yescharacteristic
2047C22H(7,𝔽2)11yescharacteristic
2048C22H(7,𝔽2)12yes—
2049C4—24no—
2050C4—24no—
2051C4—24no—
2052C4—22no—
2053C4—24no—
2054C4—22no—
2055C4—24no—
2056C4—42no—
2057C4—41no—
2058C4—41no—
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—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—41no—
2080C2—42no—
2081C2—44no—
2082C2—42no—
2083C2—44no—
2084C2#6286712yes—
2085C2#6288511yescharacteristic
2086C2#6298912yes—
2087C2#6298911yescharacteristic
2088C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#560C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59931C2semidirect
2. #59916C2semidirect
3. #59864C2semidirect
4. #59771C2semidirect
5. #59453C2semidirect
6. #52036C2semidirect
7. #51787C2semidirect
8. #51596C2semidirect
9. #51217C2semidirect
10. #50906C2semidirect
11. #48863C2semidirect
12. #48840C2semidirect
13. #47981C2semidirect
14. #47965C2semidirect
15. #47025C2semidirect
16. #46443C2semidirect
17. #46431C2semidirect
18. #46431C2semidirect
19. #44945C2semidirect
20. #44463C2semidirect
21. #43564C2semidirect
22. #43550C2semidirect
23. #43550C2semidirect
24. #43512C2semidirect
25. #43144C2semidirect
26. #43128C2semidirect
27. #43121C2semidirect
28. #43081C2semidirect
29. #39705C2semidirect
30. #39694C2semidirect
31. #39670C2semidirect
32. #39663C2semidirect
33. #39628C2semidirect
37. #2862C22semidirect
38. #2851C22semidirect
40. #2841C22semidirect
45. #2807C22semidirect
46. #2806C22semidirect
47. #2806C22semidirect
48. #2805C22semidirect
49. #2805C22semidirect
54. #2804C22semidirect
55. #2804C22semidirect
56. #2804C22semidirect
57. #2802C22semidirect
58. #2802C22semidirect
59. #2802C22semidirect
60. #2791C22semidirect
68. #2788C22semidirect
78. #2780C22semidirect
79. #2780C22semidirect
80. #2774C22semidirect
81. #2774C22semidirect
82. #2774C22semidirect
83. #2774C22semidirect
84. #2774C22semidirect
85. #2774C22semidirect
91. #2768C22semidirect
92. #2768C22semidirect
97. #2763C22semidirect
98. #2755C22semidirect
99. #2755C22semidirect
100. #2755C22semidirect
106. #2748C22semidirect
110. #2742C22semidirect
111. #2742C22semidirect
112. #2734C22semidirect
117. #2732C22semidirect
120. #2729C22semidirect
121. #2729C22semidirect
128. #2692C22semidirect
129. #2692C22semidirect
130. #2683C22semidirect
133. #2677C22semidirect
134. #2667C22semidirect
135. #2666C22semidirect
136. #2666C22semidirect
137. #2665C22semidirect
138. #2659C22semidirect
139. #2647C22semidirect
140. #2646C22semidirect
141. #2628C22semidirect
142. #2628C22semidirect
143. #2607C22semidirect
144. #2606C22semidirect
145. #2605C22semidirect
146. #2590C22semidirect
147. #2590C22semidirect
148. #2590C22semidirect
149. #2590C22semidirect
156. #2589C22semidirect
157. #2589C22semidirect
158. #2588C22semidirect
159. #2588C22semidirect
163. #2587C22semidirect
164. #2587C22semidirect
165. #2586C22semidirect
166. #2586C22semidirect
167. #2586C22semidirect
168. #2585C22semidirect
170. #2583C22semidirect
176. #2580C22semidirect
177. #2580C22semidirect
178. #2580C22semidirect
184. #2574C22semidirect
185. #2571C22semidirect
186. #2571C22semidirect
187. #2569C22semidirect
193. #2564C22semidirect
196. #2563C22semidirect
198. #2556C22semidirect
199. #2550C22semidirect
202. #2549C22semidirect
203. #2549C22semidirect
204. #2549C22semidirect
205. #2546C22semidirect
206. #2546C22semidirect
212. #2520C22semidirect
213. #2520C22semidirect
214. #2511C22semidirect
215. #2509C22semidirect
216. #2509C22semidirect
217. #2509C22semidirect
218. #2508C22semidirect
219. #2508C22semidirect
220. #2508C22semidirect
228. #2505C22semidirect
229. #2505C22semidirect
232. #2492C22semidirect
237. #2487C22semidirect
240. #2473C22semidirect
243. #2465C22semidirect
244. #2465C22semidirect
245. #2462C22semidirect
246. #2462C22semidirect
254. #2452C22semidirect
255. #2451C22semidirect
256. #2451C22semidirect
266. #2450C22semidirect
267. #2450C22semidirect
268. #2450C22semidirect
269. #2450C22semidirect
270. #2450C22semidirect
276. #2449C22semidirect
277. #2446C22semidirect
278. #2442C22semidirect
279. #2439C22semidirect
280. #2439C22semidirect
281. #2439C22semidirect
282. #2438C22semidirect
283. #2438C22semidirect
284. #2438C22semidirect
297. #2417C22semidirect
301. #2396C22semidirect
302. C2×#400C22semidirect
313. #2370C22semidirect
314. #2369C22semidirect
317. #2368C22semidirect
319. #2365C22semidirect
340. #2349C22semidirect
342. D4×C4⋊C4C22semidirect
344. #2345C22semidirect
352. #2329C22semidirect
366. #2316C22semidirect
369. C4×C4⋊Q8C22semidirect
372. C4×C22⋊Q8C22semidirect
376. #2296C22semidirect
377. #2295C22semidirect
378. C2×#387C22semidirect
380. #560Q8semidirect
1148. #127C2×Q8semidirect
1149. #126C2×Q8semidirect
1152. #123C2×Q8semidirect
1153. #123C2×Q8semidirect
1174. #121C2×Q8semidirect
1175. #121C2×Q8semidirect
1176. #121C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599312
#599162
#598642
#597712
#594532
#520362
#517872
#515962
#512172
#509062
#488632
#488402
#479812
#479652
#470252
#464432
#464312
#449452
#444632
#435642
#435502
#435122
#431442
#431282
#431212
#430812
#397052
#396942
#396702
#396632
#396282
#345202
#345172