Finite Group Databasebeta

← #7695621

Subgroups — #7695621

Order 512.

4640 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60047C211yesmaximal, characteristic, complemented
2#60042C212yesmaximal, complemented
3#59931C212yesmaximal, complemented
4#59927C211yesmaximal, characteristic, complemented
5#59873C211yesmaximal, characteristic, complemented
6#59327C212yesmaximal, complemented
7#52306C211yesmaximal, characteristic, complemented
8#52290C211yesmaximal, characteristic, complemented
9C2×#2734C211yesmaximal, characteristic, complemented
10#44646C212yesmaximal, complemented
11#44268C212yesmaximal, complemented
12#44264C212yesmaximal, complemented
13#44176C212yesmaximal, complemented
14#44154C212yesmaximal, complemented
15#43958C212yesmaximal, complemented
16#43934C212yesmaximal, complemented
17#43388C212yesmaximal, complemented
18#43151C212yesmaximal, complemented
19#40471C212yesmaximal, complemented
20#40463C212yesmaximal, complemented
21#39752C211yesmaximal, characteristic, complemented
22#39721C212yesmaximal
23#39487C211yesmaximal, characteristic, complemented
24#38887C212yesmaximal, complemented
25#38881C212yesmaximal, complemented
26#38811C211yesmaximal, characteristic, complemented
27#38801C211yesmaximal, characteristic, complemented
28#38790C211yesmaximal, characteristic, complemented
29#38782C211yesmaximal, characteristic, complemented
30#37867C212yesmaximal, complemented
31#36387C211yesmaximal, characteristic, complemented
32#36345C212yesmaximal, complemented
33#35931C212yesmaximal, complemented
34#35809C212yesmaximal, complemented
35#35742C212yesmaximal, complemented
36#34327C211yesmaximal, characteristic
37#34314C211yesmaximal, characteristic, complemented
38#34297C212yesmaximal, complemented
39#34216C212yesmaximal, complemented
40C2×#552C2211yescharacteristic
41C2×#552C2212yes—
42C2×#548C2211yescharacteristic
43C22×C4⋊Q8C2212yes—
44#2866C2212yes—
45#2865C2212yes—
46#2864C2211yescharacteristic
47#2857C2211yescharacteristic
48#2854C2212yes—
49#2851C2211yescharacteristic
50#2810C2211yescharacteristic
51#2809C2211yescharacteristic
52#2809C2211yescharacteristic
53#2808C2211yescharacteristic
54#2806C2211yescharacteristic
55#2806C2211yescharacteristic
56#2805C2211yescharacteristic
57#2799C2212yes—
58#2799C2212yes—
59#2794C2212yes—
60#2793C2212yes—
61#2791C2212yes—
62#2789C2212yes—
63#2788C2212yes—
64#2777C2212yes—
65#2775C2212yes—
66#2775C2212yes—
67#2775C2212yes—
68#2774C2212yes—
69#2774C2212yes—
70#2772C2212yes—
71#2770C2212yes—
72#2769C2212yes—
73#2768C2212yes—
74#2767C2212yes—
75#2766C2212yes—
76#2759C2212yes—
77#2758C2212yes—
78#2758C2212yes—
79#2758C2212yes—
80#2745C2212yes—
81#2734C2212yes—
82#2734C2211yescharacteristic
83#2734C2212yes—
84#2734C2211yescharacteristic
85#2734C2212yes—
86#2734C2212yes—
87#2734C2211yescharacteristic
88#2734C2212yes—
89#2734C2211yescharacteristic
90#2734C2212yes—
91#2731C2212yes—
92#2731C2212yes—
93#2731C2212yes—
94#2731C2212yes—
95#2729C2212yes—
96#2729C2212yes—
97#2729C2212yes—
98#2729C2212yes—
99#2727C2211yescharacteristic
100#2727C2211yescharacteristic
101#2727C2211yescharacteristic
102#2726C2211yescharacteristic
103#2726C2211yescharacteristic
104#2725C2212yes—
105#2725C2212yes—
106#2723C2212yes—
107#2723C2212yes—
108#2721C2212yes—
109#2721C2212yes—
110#2721C2212yes—
111#2720C2212yes—
112#2720C2212yes—
113#2719C2212yes—
114#2719C2212yes—
115#2719C2212yes—
116#2715C2212yes—
117#2700C2212yes—
118#2698C2212yes—
119#2698C2212yes—
120#2666C2212yes—
121#2665C2212yes—
122#2659C2212yes—
123#2655C2212yes—
124#2651C2212yes—
125#2650C2212yes—
126#2650C2212yes—
127#2618C2212yes—
128#2618C2212yes—
129#2612C2212yes—
130#2612C2212yes—
131#2612C2212yes—
132#2611C2212yes—
133#2606C2212yes—
134#2605C2212yes—
135#2605C2212yes—
136#2604C2212yes—
137#2604C2212yes—
138#2604C2212yes—
139#2599C2212yes—
140#2597C2212yes—
141#2596C2212yes—
142#2596C2212yes—
143#2594C2212yes—
144#2594C2212yes—
145#2593C2212yes—
146#2591C2212yes—
147#2591C2212yes—
148#2590C2212yes—
149#2590C2212yes—
150#2590C2212yes—
151#2589C2212yes—
152#2588C2212yes—
153#2588C2212yes—
154#2588C2212yes—
155#2588C2212yes—
156#2587C2212yes—
157#2587C2212yes—
158#2586C2212yes—
159#2586C2212yes—
160#2585C2212yes—
161#2585C2212yes—
162#2581C2212yes—
163#2579C2212yes—
164#2579C2212yes—
165#2577C2212yes—
166#2575C2212yes—
167#2575C2212yes—
168#2574C2212yes—
169#2574C2212yes—
170#2574C2212yes—
171#2573C2212yes—
172#2570C2211yescharacteristic
173#2569C2212yes—
174#2569C2212yes—
175#2569C2212yes—
176#2565C2212yes—
177#2564C2212yes—
178#2564C2212yes—
179#2556C2212yes—
180#2556C2212yes—
181#2556C2212yes—
182#2550C2211yescharacteristic
183#2549C2212yes—
184#2545C2212yes—
185#2545C2212yes—
186#2533C2212yes—
187#2533C2212yes—
188#2533C2212yes—
189#2531C2212yes—
190#2529C2212yes—
191#2529C2212yes—
192#2529C2212yes—
193#2528C2212yes—
194#2528C2212yes—
195#2528C2212yes—
196#2528C2212yes—
197#2526C2212yes—
198#2525C2212yes—
199#2525C2212yes—
200#2524C2212yes—
201#2524C2212yes—
202#2524C2212yes—
203#2524C2212yes—
204#2522C2212yes—
205#2521C2212yes—
206#2521C2212yes—
207#2521C2212yes—
208#2520C2212yes—
209#2520C2212yes—
210#2520C2212yes—
211#2519C2212yes—
212#2519C2212yes—
213#2517C2212yes—
214#2515C2212yes—
215#2515C2212yes—
216#2510C2212yes—
217#2510C2212yes—
218#2498C2212yes—
219#2498C2212yes—
220#2498C2212yes—
221#2498C2212yes—
222#2498C2212yes—
223#2498C2212yes—
224#2481C2212yes—
225#2481C2212yes—
226#2481C2212yes—
227#2481C2212yes—
228#2479C2212yes—
229#2479C2212yes—
230#2479C2212yes—
231#2478C2212yes—
232#2475C2212yes—
233#2475C2212yes—
234#2475C2212yes—
235#2474C2212yes—
236#2474C2212yes—
237#2474C2212yes—
238#2469C2212yes—
239#2469C2212yes—
240#2469C2212yes—
241#2469C2212yes—
242#2469C2212yes—
243#2469C2212yes—
244#2468C2212yes—
245#2466C2212yes—
246#2465C2212yes—
247#2465C2212yes—
248#2465C2212yes—
249#2462C2212yes—
250#2462C2212yes—
251#2462C2212yes—
252#2462C2212yes—
253#2462C2212yes—
254#2453C2212yes—
255#2453C2212yes—
256#2451C2212yes—
257#2446C2212yes—
258#2446C2212yes—
259#2442C2211yescharacteristic
260#2442C2211yescharacteristic
261#2442C2212yes—
262#2442C2212yes—
263#2441C2211yescharacteristic
264#2441C2212yes—
265#2439C2211yescharacteristic
266#2438C2212yes—
267#2436C2212yes—
268#2432C2212yes—
269#2432C2212yes—
270#2429C2212yes—
271#2429C2212yes—
272#2429C2212yes—
273#2417C2212yes—
274#2415C2212yes—
275#2409C2212yes—
276#2402C2212yes—
277#2399C2212yes—
278#2396C2212yes—
279#2396C2212yes—
280#2396C2212yes—
281#2395C2212yes—
282C2×#398C2212yes—
283C2×#395C2212yes—
284C2×#395C2212yes—
285#2373C2212yes—
286#2373C2212yes—
287#2373C2212yes—
288#2373C2212yes—
289#2373C2212yes—
290#2372C2212yes—
291#2371C2212yes—
292#2371C2212yes—
293#2371C2212yes—
294#2370C2211yescharacteristic
295#2370C2212yes—
296#2370C2212yes—
297#2369C2212yes—
298#2369C2212yes—
299#2369C2212yes—
300#2369C2212yes—
301#2368C2212yes—
302#2368C2212yes—
303#2368C2212yes—
304#2367C2211yescharacteristic
305#2365C2212yes—
306#2365C2212yes—
307#2365C2212yes—
308#2365C2212yes—
309#2364C2212yes—
310#2362C2211yescharacteristic
311#2362C2211yescharacteristic
312#2361C2211yescharacteristic
313#2360C2211yescharacteristic
314#2359C2212yes—
315#2359C2212yes—
316#2359C2212yes—
317#2356C2211yescharacteristic
318#2356C2212yes—
319#2353C2212yes—
320#2353C2212yes—
321#2353C2212yes—
322#2352C2211yescharacteristic
323#2352C2211yescharacteristic
324#2352C2211yescharacteristic
325#2352C2211yescharacteristic
326#2352C2212yes—
327#2351C2211yescharacteristic
328#2347C2211yescharacteristic
329#2345C2212yes—
330#2345C2212yes—
331#2345C2212yes—
332#2345C2212yes—
333#2344C2211yescharacteristic
334#2343C2212yes—
335#2343C2212yes—
336#2343C2212yes—
337#2343C2212yes—
338Q8×C22⋊C4C2211yescharacteristic
339Q8×C22⋊C4C2212yes—
340Q8×C22⋊C4C2212yes—
341Q8×C22⋊C4C2212yes—
342#2339C2211yescharacteristic
343#2337C2212yes—
344#2336C2212yes—
345#2336C2212yes—
346#2336C2212yes—
347#2334C2212yes—
348#2334C2212yes—
349#2332C2212yes—
350#2332C2212yes—
351#2331C2212yes—
352#2331C2212yes—
353#2331C2212yes—
354#2331C2212yes—
355#2329C2212yes—
356#2325C2212yes—
357#2322C2212yes—
358#2322C2212yes—
359#2316C2212yes—
360#2316C2212yes—
361C4×C4⋊Q8C2212yes—
362C4×C4⋊Q8C2212yes—
363C4×C4⋊Q8C2212yes—
364C4×C4⋊Q8C2212yes—
365C4×#125C2211yescharacteristic
366C4×#125C2212yes—
367C4×#125C2211yescharacteristic
368C4×#126C2212yes—
369C4×#126C2212yes—
370C4×#124C2211yescharacteristic
371C4×C22⋊Q8C2211yescharacteristic
372C4×C22⋊Q8C2211yescharacteristic
373C4×C22⋊Q8C2211yescharacteristic
374C4×#123C2212yes—
375C4×#121C2211yescharacteristic
376#2298C2212yes—
377#2298C2212yes—
378#2297C2211yescharacteristic
379#2296C2211yescharacteristic
380#2296C2211yescharacteristic
381#2295C2211yescharacteristic
382#2295C2211yescharacteristic
383#2295C2212yes—
384C2×#391C2211yescharacteristic
385C2×#389C2211yescharacteristic
386C2×#389C2211yescharacteristic
387C2×#387C2212yes—
388C2×#387C2212yes—
389#2285C2212yes—
390#2275C2212yes—
391#2274C2212yes—
392#2274C2212yes—
393C42×D4C2211yescharacteristic
394C4×#117C2212yes—
395C22×#41C2311yescharacteristic
396C23×Q8C2312yes—
397C23×Q8C2311yescharacteristic
398#552—28no—
399#552—216no—
400#548—28no—
401C2×C4⋊Q8—216no—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2311yescharacteristic
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#125C2311yescharacteristic
419C2×#125C2311yescharacteristic
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2312yes—
425C2×#125C2311yescharacteristic
426C2×#125C2312yes—
427C2×#124C2312yes—
428C2×#124C2311yescharacteristic
429C2×#124C2312yes—
430C2×#124C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2311yescharacteristic
472C2×#117C2311yescharacteristic
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C2×#117C2312yes—
476C2×#117C2311yescharacteristic
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2311yescharacteristic
487C22×C42C2312yes—
488C22×C42C2311yescharacteristic
489C22×C42C2311yescharacteristic
490#401C2312yes—
491#401C2312yes—
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#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
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#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
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#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
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#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
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#391C2311yescharacteristic
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2311yescharacteristic
665#391C2311yescharacteristic
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#391C2311yescharacteristic
681#391C2312yes—
682#391C2311yescharacteristic
683#391C2311yescharacteristic
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#390C2311yescharacteristic
687#390C2312yes—
688#390C2312yes—
689#390C2311yescharacteristic
690#389C2312yes—
691#389C2312yes—
692#389C2311yescharacteristic
693#389C2311yescharacteristic
694#389C2311yescharacteristic
695#389C2311yescharacteristic
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#389C2311yescharacteristic
713#389C2311yescharacteristic
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#389C2311yescharacteristic
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2311yescharacteristic
739#389C2312yes—
740#389C2312yes—
741#389C2311yescharacteristic
742#389C2311yescharacteristic
743#389C2312yes—
744#389C2311yescharacteristic
745#389C2311yescharacteristic
746#389C2311yescharacteristic
747#389C2312yes—
748#389C2311yescharacteristic
749#389C2311yescharacteristic
750#389C2311yescharacteristic
751#389C2312yes—
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#388C2312yes—
757#388C2312yes—
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#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
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#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#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#386C2312yes—
945#386C2312yes—
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#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#384C2312yes—
985#384C2312yes—
986#384C2311yescharacteristic
987#383C2312yes—
988#383C2312yes—
989#383C2312yes—
990#383C2312yes—
991#383C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#382C2312yes—
996#382C2311yescharacteristic
997#382C2311yescharacteristic
998#382C2312yes—
999#382C2311yescharacteristic
1000#382C2311yescharacteristic
1001#382C2311yescharacteristic
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2311yescharacteristic
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2311yescharacteristic
1018#380C2311yescharacteristic
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2311yescharacteristic
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2311yescharacteristic
1029#380C2312yes—
1030#380C2312yes—
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2311yescharacteristic
1034#380C2311yescharacteristic
1035C4×C4⋊C4C2311yescharacteristic
1036C4×C4⋊C4C2311yescharacteristic
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2311yescharacteristic
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2311yescharacteristic
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2311yescharacteristic
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2311yescharacteristic
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2311yescharacteristic
1126#376C2312yes—
1127#376C2312yes—
1128#376C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2312yes—
1144C43C2311yescharacteristic
1145C43C2312yes—
1146C2×#41—24no—
1147C2×#41—81no—
1148C2×#41—81no—
1149C22×Q8—28no—
1150C22×Q8—81no—
1151C22×Q8—81no—
1152C22×Q8—82no—
1153C22×Q8—82no—
1154C22×Q8#4118yes—
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×Q8C2412yes—
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2411yescharacteristic
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2411yescharacteristic
1167C22×D4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2411yescharacteristic
1181C23×C4C2411yescharacteristic
1182C23×C4C2412yes—
1183C4⋊Q8—28no—
1184C4⋊Q8—28no—
1185C4⋊Q8—28no—
1186C4⋊Q8—28no—
1187C4⋊Q8—28no—
1188C4⋊Q8—28no—
1189C4⋊Q8—28no—
1190C4⋊Q8—28no—
1191C4⋊Q8—81no—
1192#126—28no—
1193#126—28no—
1194#126—28no—
1195#126—28no—
1196#126—82no—
1197#126—82no—
1198#126—82no—
1199#125—28no—
1200#125—28no—
1201#125—28no—
1202#125—28no—
1203#125—24no—
1204#125—24no—
1205#125—81no—
1206#125—82no—
1207#125—82no—
1208#124—24no—
1209#124—28no—
1210#124—82no—
1211#124—82no—
1212#123—28no—
1213#123—28no—
1214#123—28no—
1215C22⋊Q8—24no—
1216C22⋊Q8—28no—
1217C22⋊Q8—24no—
1218C22⋊Q8—28no—
1219C22⋊Q8—28no—
1220C22⋊Q8—24no—
1221C22⋊Q8—82no—
1222C22⋊Q8—82no—
1223C22⋊Q8—82no—
1224#121—28no—
1225#121—24no—
1226C4×Q8—24no—
1227C4×Q8—28no—
1228C4×Q8—24no—
1229C4×Q8—81no—
1230C4×Q8—81no—
1231C4×Q8—81no—
1232C4×Q8—82no—
1233C4×Q8—82no—
1234C4×Q8—82no—
1235C4×Q8—81no—
1236C4×Q8—82no—
1237C4×Q8—82no—
1238C4×Q8—82no—
1239C4×D4—24no—
1240C4×D4—28no—
1241C4×D4—24no—
1242C4×D4—28no—
1243C4×D4—24no—
1244C4×D4—28no—
1245C4×D4—81no—
1246C4×D4—81no—
1247#117—28no—
1248#117—28no—
1249#117—28no—
1250#117—28no—
1251#117—24no—
1252#117—24no—
1253#117—28no—
1254#117—82no—
1255#117—81no—
1256#117—81no—
1257#117—81no—
1258C2×C4⋊C4—28no—
1259C2×C4⋊C4—28no—
1260C2×C4⋊C4—28no—
1261C2×C4⋊C4—28no—
1262C2×C4⋊C4—24no—
1263C2×C4⋊C4—81no—
1264C2×C4⋊C4—81no—
1265C2×C4⋊C4—81no—
1266C2×C4⋊C4—82no—
1267C2×C4⋊C4#4118yescomplemented
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⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1362C2×C4⋊C4C2411yescharacteristic
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2411yescharacteristic
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C4⋊C4C2411yescharacteristic
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2411yescharacteristic
1387C2×C22⋊C4C2411yescharacteristic
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2411yescharacteristic
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1421C2×C42—28no—
1422C2×C42—81no—
1423C2×C42—81no—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2411yescharacteristic
1434C2×C42C2412yes—
1435C2×C42C2411yescharacteristic
1436C2×C42C2412yes—
1437C2×C42C2411yescharacteristic
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2411yescharacteristic
1451C2×C42C2411yescharacteristic
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2411yescharacteristic
1465C2×C42C2411yescharacteristic
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2411yescharacteristic
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2411yescharacteristic
1473C2×C42C2412yes—
1474#95C2412yes—
1475#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1533#95C2411yescharacteristic
1534#95C2411yescharacteristic
1535#95C2411yescharacteristic
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—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598C24C2512yes—
1599C24C2511yescharacteristic
1600C24C2511yescharacteristic
1601#41—88no—
1602C2×Q8—22no—
1603C2×Q8—24no—
1604C2×Q8—24no—
1605C2×Q8—24no—
1606C2×Q8—24no—
1607C2×Q8—24no—
1608C2×Q8—41no—
1609C2×Q8—42no—
1610C2×Q8—41no—
1611C2×Q8—42no—
1612C2×Q8—41no—
1613C2×Q8—42no—
1614C2×Q8—42no—
1615C2×Q8—42no—
1616C2×Q8—42no—
1617C2×Q8—41no—
1618C2×Q8—41no—
1619C2×Q8—41no—
1620C2×Q8—42no—
1621C2×Q8—42no—
1622C2×Q8—42no—
1623C2×Q8—42no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—88no—
1627C2×Q8—816no—
1628C2×Q8C2×#4114yes—
1629C2×Q8C2×#4118yes—
1630C2×Q8C2×#4114yes—
1631C2×D4—22no—
1632C2×D4—24no—
1633C2×D4—22no—
1634C2×D4—24no—
1635C2×D4—24no—
1636C2×D4—22no—
1637C2×D4—22no—
1638C2×D4—24no—
1639C2×D4—41no—
1640C2×D4—41no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C22×C4—24no—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—22no—
1647C22×C4—24no—
1648C22×C4—24no—
1649C22×C4—24no—
1650C22×C4—22no—
1651C22×C4—22no—
1652C22×C4—24no—
1653C22×C4—22no—
1654C22×C4—22no—
1655C22×C4—22no—
1656C22×C4—24no—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—41no—
1662C22×C4—41no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—41no—
1666C22×C4—41no—
1667C22×C4—42no—
1668C22×C4—41no—
1669C22×C4—41no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4C2×#4118yes—
1685C22×C4C2×#4118yes—
1686C22×C4C2×#4114yes—
1687C22×C4C2×#4114yes—
1688C22×C4C2512yes—
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C22×C4C2511yescharacteristic
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2511yescharacteristic
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2511yescharacteristic
1699C22×C4C2511yescharacteristic
1700C22×C4C2512yes—
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2511yescharacteristic
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2511yescharacteristic
1719C22×C4C2511yescharacteristic
1720C22×C4C2511yescharacteristic
1721C22×C4C2511yescharacteristic
1722C22×C4C2511yescharacteristic
1723C22×C4C2512yes—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—22no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—22no—
1750C4⋊C4—22no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—22no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—22no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—22no—
1768C4⋊C4—22no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—22no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—41no—
1776C4⋊C4—41no—
1777C4⋊C4—41no—
1778C4⋊C4—42no—
1779C4⋊C4—41no—
1780C4⋊C4—41no—
1781C4⋊C4—42no—
1782C4⋊C4—41no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—41no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—41no—
1797C4⋊C4—41no—
1798C4⋊C4—42no—
1799C4⋊C4—41no—
1800C4⋊C4—41no—
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—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—41no—
1826C4⋊C4C2×#4118yes—
1827C4⋊C4C2×#4114yes—
1828C4⋊C4C2×#4114yes—
1829C4⋊C42−1+414yes—
1830C22⋊C4—22no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—22no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—22no—
1842C22⋊C4—22no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—24no—
1849C22⋊C4—24no—
1850C22⋊C4—24no—
1851C22⋊C4—24no—
1852C22⋊C4—22no—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C42−1+414yes—
1877C42—24no—
1878C42—24no—
1879C42—24no—
1880C42—24no—
1881C42—24no—
1882C42—24no—
1883C42—24no—
1884C42—24no—
1885C42—24no—
1886C42—24no—
1887C42—24no—
1888C42—22no—
1889C42—24no—
1890C42—22no—
1891C42—24no—
1892C42—24no—
1893C42—24no—
1894C42—22no—
1895C42—24no—
1896C42—22no—
1897C42—24no—
1898C42—41no—
1899C42—41no—
1900C42—41no—
1901C42—41no—
1902C42—41no—
1903C42—41no—
1904C42—41no—
1905C42—42no—
1906C42—41no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—41no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C23—21no—
1928C23—21no—
1929C23—21no—
1930C23—21no—
1931C23—21no—
1932C23—22no—
1933C23—21no—
1934C23—22no—
1935C23—22no—
1936C23—21no—
1937C23—22no—
1938C23—21no—
1939C23—21no—
1940C23—22no—
1941C23—22no—
1942C23—21no—
1943C23—21no—
1944C23—22no—
1945C23C22×#4112yes—
1946C23C22×#4112yes—
1947C23C2×2−1+412yes—
1948C23C2611yescharacteristic
1949Q8—44no—
1950Q8—48no—
1951Q8—44no—
1952Q8—44no—
1953Q8—48no—
1954Q8—48no—
1955Q8—84no—
1956Q8—84no—
1957Q8—84no—
1958D4—44no—
1959D4—48no—
1960D4—44no—
1961D4—84no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—21no—
1966C2×C4—22no—
1967C2×C4—21no—
1968C2×C4—22no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—21no—
1983C2×C4—22no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—216no—
1987C2×C4—21no—
1988C2×C4—22no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—21no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—21no—
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—22no—
2013C2×C4—21no—
2014C2×C4—21no—
2015C2×C4—21no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—21no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—21no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—21no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—21no—
2036C2×C4—21no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
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—21no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—44no—
2060C2×C4—44no—
2061C2×C4—48no—
2062C2×C4—44no—
2063C2×C4—48no—
2064C2×C4—44no—
2065C2×C4—44no—
2066C2×C4—44no—
2067C2×C4—84no—
2068C2×C4—84no—
2069C2×C4—84no—
2070C2×C4—84no—
2071C2×C4—84no—
2072C2×C4—84no—
2073C2×C4C22×#4114yes—
2074C2×C4C22×#4114yes—
2075C2×C4C22×#4114yes—
2076C2×C4C22×#4114yes—
2077C2×C4C22×#4112yes—
2078C2×C4C22×#4112yes—
2079C2×C4C22×#4112yes—
2080C2×C4C22×#4112yes—
2081C2×C4C2×2−1+412yes—
2082C2×C4C2×2−1+412yes—
2083C2×C4C2×2−1+414yes—
2084C2×C4C2×2−1+412yes—
2085C22—22no—
2086C22—22no—
2087C22—22no—
2088C22—22no—
2089C22—22no—
2090C22—22no—
2091C22—42no—
2092C22—41no—
2093C22—42no—
2094C22—41no—
2095C22—42no—
2096C22—41no—
2097C22—41no—
2098C22—42no—
2099C22—41no—
2100C22—42no—
2101C22—41no—
2102C22—42no—
2103C22—42no—
2104C22—41no—
2105C22#348214yes—
2106C22C23×#4111yescharacteristic
2107C22C23×#4111yescharacteristic
2108C22C22×2−1+411yescharacteristic
2109C22C22×2−1+411yescharacteristic
2110C22H(7,𝔽2)11yescharacteristic
2111C22H(7,𝔽2)11yescharacteristic
2112C222−1+611yescharacteristic
2113C4—24no—
2114C4—22no—
2115C4—22no—
2116C4—24no—
2117C4—22no—
2118C4—24no—
2119C4—22no—
2120C4—22no—
2121C4—22no—
2122C4—22no—
2123C4—24no—
2124C4—24no—
2125C4—41no—
2126C4—42no—
2127C4—42no—
2128C4—41no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—41no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—41no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—41no—
2147C4—42no—
2148C4—41no—
2149C2—24no—
2150C2—82no—
2151C2—81no—
2152C2C2×#348211yescharacteristic
2153C2#6284411yescharacteristic
2154C2#6285611yescharacteristic
2155C2#6294511yescharacteristic
2156C2#6299811yescharacteristic
2157C2#6299911yescharacteristic
2158C2#6305811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#548C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60047C2semidirect
2. #60042C2semidirect
3. #59931C2semidirect
4. #59927C2semidirect
5. #59873C2semidirect
6. #59327C2semidirect
7. #52306C2semidirect
8. #52290C2semidirect
9. C2×#2734C2semidirect
10. #44646C2semidirect
11. #44268C2semidirect
12. #44264C2semidirect
13. #44176C2semidirect
14. #44154C2semidirect
15. #43958C2semidirect
16. #43934C2semidirect
17. #43388C2semidirect
18. #43151C2semidirect
19. #40471C2semidirect
20. #40463C2semidirect
21. #39752C2semidirect
23. #39487C2semidirect
24. #38887C2semidirect
25. #38881C2semidirect
26. #38811C2semidirect
27. #38801C2semidirect
28. #38790C2semidirect
29. #38782C2semidirect
30. #37867C2semidirect
31. #36387C2semidirect
32. #36345C2semidirect
33. #35931C2semidirect
34. #35809C2semidirect
35. #35742C2semidirect
37. #34314C2semidirect
38. #34297C2semidirect
39. #34216C2semidirect
1267. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#600472
#600422
#599312
#599272
#598732
#593272
#523062
#522902
C2×#27342
#446462
#442682
#442642
#441762
#441542
#439582
#439342
#433882
#431512
#404712
#404632
#397522
#397212
#394872
#388872
#388812
#388112
#388012
#387902
#387822
#378672
#363872
#363452
#359312
#358092
#357422
#343272
#343142
#342972
#342162