Finite Group Databasebeta

← #8058873

Subgroups — #8058873

Order 512.

4445 conjugacy classes of subgroups.

The subgroup lattice has 2063 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52035C212yesmaximal
2#51601C212yesmaximal, complemented
3#51220C212yesmaximal, complemented
4#51081C212yesmaximal, complemented
5#50707C212yesmaximal, complemented
6#50698C212yesmaximal, complemented
7#48861C212yesmaximal, complemented
8#47983C212yesmaximal, complemented
9#47981C212yesmaximal, complemented
10#47818C211yesmaximal, characteristic
11#47725C212yesmaximal, complemented
12#47025C211yesmaximal, characteristic, complemented
13#46441C212yesmaximal, complemented
14#46004C212yesmaximal, complemented
15#45504C211yesmaximal, characteristic, complemented
16#45357C211yesmaximal, characteristic
17#44745C212yesmaximal, complemented
18#44449C211yesmaximal, characteristic, complemented
19#43891C212yesmaximal, complemented
20#42825C212yesmaximal, complemented
21#42184C212yesmaximal, complemented
22#42004C212yesmaximal, complemented
23#40618C212yesmaximal, complemented
24#40616C212yesmaximal, complemented
25#40614C212yesmaximal, complemented
26#39978C212yesmaximal, complemented
27#39646C212yesmaximal, complemented
28#39592C211yesmaximal, characteristic, complemented
29#39366C212yesmaximal, complemented
30#37686C212yesmaximal, complemented
31#37195C212yesmaximal, complemented
32#37136C212yesmaximal, complemented
33#36755C212yesmaximal, complemented
34#34510C211yesmaximal, characteristic
35#34500C212yesmaximal
36C2×#559C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#544C2212yes—
40C2×#544C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42#2863C2212yes—
43#2862C2212yes—
44#2862C2212yes—
45#2855C2211yescharacteristic
46#2851C2212yes—
47#2844C2212yes—
48#2844C2211yescharacteristic
49#2844C2212yes—
50#2843C2212yes—
51#2841C2212yes—
52#2841C2211yescharacteristic
53#2841C2211yescharacteristic
54#2841C2211yescharacteristic
55#2811C2212yes—
56#2811C2212yes—
57#2809C2212yes—
58#2807C2211yescharacteristic
59#2807C2212yes—
60#2807C2211yescharacteristic
61#2806C2212yes—
62#2806C2212yes—
63#2806C2212yes—
64#2806C2212yes—
65#2806C2212yes—
66#2805C2212yes—
67#2805C2212yes—
68#2805C2212yes—
69#2804C2212yes—
70#2804C2212yes—
71#2804C2212yes—
72#2804C2211yescharacteristic
73#2804C2212yes—
74#2802C2212yes—
75#2802C2212yes—
76#2799C2212yes—
77#2799C2212yes—
78#2799C2212yes—
79#2792C2212yes—
80#2790C2212yes—
81#2788C2212yes—
82#2788C2212yes—
83#2788C2212yes—
84#2788C2212yes—
85#2788C2212yes—
86#2784C2212yes—
87#2784C2212yes—
88#2784C2212yes—
89#2784C2211yescharacteristic
90#2780C2212yes—
91#2780C2212yes—
92#2774C2212yes—
93#2774C2212yes—
94#2774C2212yes—
95#2774C2212yes—
96#2768C2212yes—
97#2768C2212yes—
98#2768C2212yes—
99#2763C2212yes—
100#2763C2212yes—
101#2763C2212yes—
102#2763C2212yes—
103#2763C2212yes—
104#2763C2212yes—
105#2763C2212yes—
106#2763C2212yes—
107#2763C2212yes—
108#2763C2211yescharacteristic
109#2755C2212yes—
110#2755C2212yes—
111#2755C2212yes—
112#2755C2212yes—
113#2755C2212yes—
114#2748C2212yes—
115#2742C2212yes—
116#2742C2211yescharacteristic
117#2742C2212yes—
118#2734C2212yes—
119#2734C2212yes—
120#2734C2212yes—
121#2734C2212yes—
122#2732C2212yes—
123#2732C2212yes—
124#2729C2212yes—
125#2729C2212yes—
126#2729C2212yes—
127#2729C2212yes—
128#2729C2212yes—
129#2729C2212yes—
130#2729C2212yes—
131#2720C2212yes—
132#2720C2212yes—
133#2720C2212yes—
134#2720C2212yes—
135#2720C2212yes—
136#2720C2212yes—
137#2713C2212yes—
138#2713C2212yes—
139#2713C2212yes—
140#2713C2212yes—
141#2713C2212yes—
142#2713C2212yes—
143#2713C2212yes—
144#2713C2212yes—
145#2713C2212yes—
146#2713C2212yes—
147#2704C2212yes—
148#2704C2212yes—
149#2692C2212yes—
150#2692C2212yes—
151#2692C2212yes—
152#2692C2212yes—
153#2692C2212yes—
154#2692C2212yes—
155#2692C2212yes—
156#2692C2212yes—
157#2692C2212yes—
158#2677C2212yes—
159#2677C2212yes—
160#2677C2212yes—
161#2677C2212yes—
162#2677C2212yes—
163#2677C2212yes—
164#2666C2212yes—
165#2666C2212yes—
166#2666C2212yes—
167#2666C2212yes—
168#2666C2212yes—
169#2666C2212yes—
170#2666C2212yes—
171#2666C2212yes—
172#2666C2212yes—
173#2666C2212yes—
174#2665C2212yes—
175#2665C2212yes—
176#2660C2212yes—
177#2660C2212yes—
178#2659C2212yes—
179#2646C2212yes—
180#2646C2212yes—
181#2628C2212yes—
182#2628C2212yes—
183#2628C2212yes—
184#2627C2212yes—
185#2612C2212yes—
186#2612C2212yes—
187#2612C2211yescharacteristic
188#2612C2212yes—
189#2607C2211yescharacteristic
190#2607C2212yes—
191#2605C2212yes—
192#2605C2212yes—
193#2605C2212yes—
194#2605C2212yes—
195#2605C2212yes—
196#2605C2212yes—
197#2589C2212yes—
198#2589C2212yes—
199#2589C2212yes—
200#2589C2212yes—
201#2589C2212yes—
202#2588C2212yes—
203#2587C2212yes—
204#2587C2212yes—
205#2587C2212yes—
206#2586C2212yes—
207#2583C2212yes—
208#2580C2211yescharacteristic
209#2580C2211yescharacteristic
210#2579C2212yes—
211#2574C2212yes—
212#2574C2212yes—
213#2574C2212yes—
214#2574C2212yes—
215#2570C2212yes—
216#2570C2212yes—
217#2569C2212yes—
218#2568C2212yes—
219#2568C2212yes—
220#2567C2212yes—
221#2565C2212yes—
222#2564C2212yes—
223#2564C2212yes—
224#2564C2211yescharacteristic
225#2564C2212yes—
226#2556C2212yes—
227#2556C2212yes—
228#2556C2212yes—
229#2556C2212yes—
230#2556C2212yes—
231#2556C2212yes—
232#2551C2212yes—
233#2551C2212yes—
234#2551C2212yes—
235#2550C2212yes—
236#2550C2212yes—
237#2550C2212yes—
238#2550C2212yes—
239#2550C2212yes—
240#2550C2212yes—
241#2550C2212yes—
242#2549C2212yes—
243#2549C2212yes—
244#2549C2212yes—
245#2549C2212yes—
246#2522C2212yes—
247#2522C2212yes—
248#2520C2212yes—
249#2511C2212yes—
250#2509C2212yes—
251#2509C2212yes—
252#2508C2212yes—
253#2506C2212yes—
254#2505C2212yes—
255#2505C2212yes—
256#2505C2212yes—
257#2505C2212yes—
258#2502C2211yescharacteristic
259#2502C2212yes—
260#2502C2211yescharacteristic
261#2492C2212yes—
262#2492C2212yes—
263#2492C2212yes—
264#2492C2212yes—
265#2492C2212yes—
266#2492C2212yes—
267#2492C2212yes—
268#2492C2212yes—
269#2487C2212yes—
270#2487C2211yescharacteristic
271#2473C2212yes—
272#2473C2212yes—
273#2473C2212yes—
274#2473C2212yes—
275#2462C2212yes—
276#2462C2212yes—
277#2454C2212yes—
278#2453C2212yes—
279#2452C2212yes—
280#2451C2212yes—
281#2451C2212yes—
282#2451C2212yes—
283#2451C2212yes—
284#2450C2212yes—
285#2450C2212yes—
286#2450C2212yes—
287#2450C2212yes—
288#2449C2212yes—
289#2449C2212yes—
290#2449C2212yes—
291#2449C2212yes—
292#2449C2212yes—
293#2449C2212yes—
294#2449C2212yes—
295#2446C2212yes—
296#2442C2212yes—
297#2442C2212yes—
298#2442C2212yes—
299#2440C2212yes—
300#2440C2212yes—
301#2440C2212yes—
302#2440C2212yes—
303#2440C2212yes—
304#2439C2212yes—
305#2439C2212yes—
306#2439C2212yes—
307#2438C2212yes—
308#2438C2212yes—
309#2438C2212yes—
310#2434C2212yes—
311#2434C2212yes—
312#2434C2212yes—
313#2434C2212yes—
314#2434C2212yes—
315#2434C2212yes—
316#2409C2212yes—
317#2409C2212yes—
318#2409C2212yes—
319#2409C2212yes—
320#2409C2212yes—
321#2402C2212yes—
322#2399C2211yescharacteristic
323C2×#400C2211yescharacteristic
324C2×#395C2212yes—
325#2380C2211yescharacteristic
326#2379C2212yes—
327#2379C2212yes—
328#2379C2212yes—
329#2376C2212yes—
330#2376C2212yes—
331#2376C2211yescharacteristic
332#2374C2211yescharacteristic
333#2372C2212yes—
334#2368C2212yes—
335#2368C2211yescharacteristic
336#2367C2212yes—
337#2367C2212yes—
338#2366C2212yes—
339#2359C2212yes—
340#2359C2212yes—
341#2359C2212yes—
342#2356C2212yes—
343#2355C2212yes—
344#2353C2212yes—
345#2352C2212yes—
346#2352C2212yes—
347#2352C2212yes—
348#2351C2212yes—
349#2349C2212yes—
350D4×C4⋊C4C2212yes—
351#2345C2211yescharacteristic
352#2337C2212yes—
353#2337C2212yes—
354#2337C2212yes—
355#2337C2212yes—
356#2335C2212yes—
357#2335C2212yes—
358#2335C2212yes—
359#2331C2211yescharacteristic
360#2331C2212yes—
361#2328C2211yescharacteristic
362#2328C2212yes—
363#2326C2212yes—
364#2322C2212yes—
365#2322C2212yes—
366#2322C2211yescharacteristic
367#2320C2212yes—
368#2320C2212yes—
369#2319C2212yes—
370#2318C2212yes—
371#2318C2212yes—
372#2318C2212yes—
373C4×#125C2212yes—
374C4×#124C2212yes—
375C4×#123C2211yescharacteristic
376#2295C2212yes—
377#2293C2212yes—
378#2290C2212yes—
379C23×Q8C2312yes—
380C23×Q8C2312yes—
381#559Q8116yescomplemented
382#554—44no—
383D4×Q8—44no—
384#544—44no—
385#544—48no—
386C2×C4⋊Q8—44no—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2311yescharacteristic
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×#127C2311yescharacteristic
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#124C2312yes—
414C2×#124C2312yes—
415C2×#123C2311yescharacteristic
416C2×#123C2312yes—
417C2×#123C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2312yes—
466C22×C42C2311yescharacteristic
467#400C2312yes—
468#400C2312yes—
469#400C2311yescharacteristic
470#400C2312yes—
471#400C2312yes—
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#400C2311yescharacteristic
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2311yescharacteristic
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#399C2312yes—
515#399C2311yescharacteristic
516#399C2312yes—
517#399C2312yes—
518#399C2311yescharacteristic
519#399C2311yescharacteristic
520#399C2312yes—
521#399C2311yescharacteristic
522#399C2312yes—
523#399C2311yescharacteristic
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2311yescharacteristic
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#393C2312yes—
655#393C2311yescharacteristic
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2311yescharacteristic
663#393C2311yescharacteristic
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#393C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
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#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2311yescharacteristic
743#390C2311yescharacteristic
744#390C2312yes—
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#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
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#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2311yescharacteristic
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2311yescharacteristic
932#386C2312yes—
933#385C2312yes—
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#385C2311yescharacteristic
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2311yescharacteristic
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#384C2312yes—
994#384C2312yes—
995#384C2312yes—
996#384C2312yes—
997#384C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2311yescharacteristic
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2311yescharacteristic
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#381C2311yescharacteristic
1024#381C2312yes—
1025#381C2312yes—
1026#381C2311yescharacteristic
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2311yescharacteristic
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2311yescharacteristic
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2311yescharacteristic
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2311yescharacteristic
1096#376C2312yes—
1097C2×#95C2311yescharacteristic
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C43C2312yes—
1104C22×Q8—44no—
1105C22×Q8—44no—
1106C22×Q8—82no—
1107C22×Q8—82no—
1108C22×Q8—82no—
1109C22×Q8—82no—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2412yes—
1117C22×Q8C2412yes—
1118C22×Q8C2412yes—
1119C22×Q8C2412yes—
1120C22×Q8C2411yescharacteristic
1121C22×Q8C2412yes—
1122C22×Q8C2412yes—
1123C22×Q8C2412yes—
1124C22×Q8C2412yes—
1125C22×D4C2411yescharacteristic
1126C22×D4C2411yescharacteristic
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C4⋊Q8—28no—
1147C4⋊Q8—24no—
1148C4⋊Q8—44no—
1149C4⋊Q8—44no—
1150C4⋊Q8—44no—
1151C4⋊Q8—44no—
1152C4⋊Q8—44no—
1153C4⋊Q8—44no—
1154C4⋊Q8—44no—
1155C4⋊Q8—44no—
1156C4⋊Q8—44no—
1157C4⋊Q8—82no—
1158C4⋊Q8—82no—
1159C4⋊Q8—82no—
1160C4⋊Q8—82no—
1161C4⋊Q8—82no—
1162C4⋊Q8—82no—
1163#127C2×Q818yes—
1164#125—28no—
1165#125—44no—
1166#125—44no—
1167#125—44no—
1168#125—44no—
1169#125—44no—
1170#125—82no—
1171#125—82no—
1172#124C2×Q8116yescomplemented
1173#124C2×Q8116yescomplemented
1174#123C2×Q818yescomplemented
1175#123C2×Q8116yescomplemented
1176#123C2×Q818yescomplemented
1177C22⋊Q8—28no—
1178C22⋊Q8—24no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—42no—
1186C22⋊Q8—44no—
1187C22⋊Q8—42no—
1188C22⋊Q8—44no—
1189C22⋊Q8—82no—
1190C22⋊Q8—82no—
1191C22⋊Q8—82no—
1192C22⋊Q8—82no—
1193C22⋊Q8—82no—
1194C22⋊Q8—82no—
1195C22⋊Q8—82no—
1196C22⋊Q8—82no—
1197C22⋊Q8—82no—
1198C22⋊Q8—82no—
1199C4×Q8—42no—
1200C4×Q8—42no—
1201C4×Q8—82no—
1202C4×Q8—82no—
1203C4×Q8C2×Q8116yescomplemented
1204C4×D4—42no—
1205C4×D4—42no—
1206C4×D4—44no—
1207C4×D4—44no—
1208C4×D4—82no—
1209C4×D4—82no—
1210C4×D4—82no—
1211C4×D4—82no—
1212C4×D4C2×Q8116yescomplemented
1213C4×D4C2×Q8116yescomplemented
1214#117—44no—
1215#117—44no—
1216#117—44no—
1217C2×C4⋊C4—24no—
1218C2×C4⋊C4—44no—
1219C2×C4⋊C4—42no—
1220C2×C4⋊C4—44no—
1221C2×C4⋊C4—42no—
1222C2×C4⋊C4—42no—
1223C2×C4⋊C4—82no—
1224C2×C4⋊C4—82no—
1225C2×C4⋊C4C2411yescharacteristic
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2411yescharacteristic
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2411yescharacteristic
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2411yescharacteristic
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2412yes—
1377C2×C42—42no—
1378C2×C42C2412yes—
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×C42C2411yescharacteristic
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2411yescharacteristic
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2411yescharacteristic
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2411yescharacteristic
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#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#95C2411yescharacteristic
1521#95C2412yes—
1522#95C2411yescharacteristic
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2411yescharacteristic
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533C24C2511yescharacteristic
1534C24C2512yes—
1535C24C2511yescharacteristic
1536C2×Q8—22no—
1537C2×Q8—24no—
1538C2×Q8—24no—
1539C2×Q8—24no—
1540C2×Q8—24no—
1541C2×Q8—41no—
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—42no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—41no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×Q8—42no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—816no—
1578C2×Q8—816no—
1579C2×Q8C22×Q818yes—
1580C2×D4—41no—
1581C2×D4—41no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4C22×Q818yes—
1589C2×D4C22×Q818yes—
1590C2×D4C22×Q814yes—
1591C2×D4C22×Q814yes—
1592C22×C4—22no—
1593C22×C4—24no—
1594C22×C4—22no—
1595C22×C4—24no—
1596C22×C4—41no—
1597C22×C4—41no—
1598C22×C4—42no—
1599C22×C4—41no—
1600C22×C4—41no—
1601C22×C4—42no—
1602C22×C4—41no—
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—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—41no—
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×C4C22×Q814yes—
1637C22×C4C22×Q814yes—
1638C22×C4C22×Q818yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2511yescharacteristic
1651C22×C4C2512yes—
1652C22×C4C2511yescharacteristic
1653C22×C4C2512yes—
1654C22×C4C2511yescharacteristic
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2511yescharacteristic
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2511yescharacteristic
1670C22×C4C2512yes—
1671C4⋊C4—22no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—22no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—41no—
1693C4⋊C4—41no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
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—42no—
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—41no—
1728C4⋊C4—41no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
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—41no—
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⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4C22×Q818yes—
1775C4⋊C4C22×Q818yes—
1776C4⋊C4C22×Q818yes—
1777C4⋊C4H(5,𝔽2)14yes—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
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—41no—
1794C22⋊C4—41no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—41no—
1799C22⋊C4—41no—
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⋊C4C22×Q818yes—
1817C22⋊C4C22×Q818yes—
1818C22⋊C4C22×Q818yes—
1819C22⋊C4C22×Q818yes—
1820C22⋊C4C22×Q814yes—
1821C22⋊C4C22×Q814yes—
1822C22⋊C4C22×Q818yes—
1823C42—24no—
1824C42—24no—
1825C42—22no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—41no—
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—
1851C42C22×Q818yes—
1852C42C22×Q818yes—
1853C42C22×Q814yes—
1854C23—22no—
1855C23—21no—
1856C23—21no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—21no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—21no—
1867C23—22no—
1868C23C23×Q812yes—
1869C23C23×Q814yes—
1870C23C23×Q812yes—
1871C23C2611yescharacteristic
1872Q8—48no—
1873Q8—44no—
1874Q8—82no—
1875Q8—84no—
1876Q8—84no—
1877Q8—84no—
1878Q8—84no—
1879Q8—84no—
1880Q8—84no—
1881Q8—84no—
1882Q8—162no—
1883Q8—162no—
1884Q8—162no—
1885Q8—161no—
1886Q8—162no—
1887D4—44no—
1888D4—44no—
1889D4—48no—
1890D4—48no—
1891C2×C4—21no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—21no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—21no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—21no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—21no—
1920C2×C4—22no—
1921C2×C4—22no—
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—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
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—44no—
1976C2×C4—48no—
1977C2×C4—44no—
1978C2×C4—44no—
1979C2×C4—44no—
1980C2×C4—82no—
1981C2×C4—84no—
1982C2×C4—84no—
1983C2×C4—84no—
1984C2×C4—84no—
1985C2×C4—84no—
1986C2×C4—84no—
1987C2×C4—84no—
1988C2×C4—162no—
1989C2×C4—162no—
1990C2×C4—162no—
1991C2×C4—161no—
1992C2×C4C23×Q814yes—
1993C2×C4C23×Q814yes—
1994C2×C4C23×Q814yes—
1995C2×C4C23×Q814yes—
1996C2×C4C23×Q814yes—
1997C2×C4C23×Q812yes—
1998C2×C4C2×H(5,𝔽2)12yes—
1999C2×C4C2×H(5,𝔽2)14yes—
2000C22—24no—
2001C22—22no—
2002C22—22no—
2003C22—24no—
2004C22—24no—
2005C22—24no—
2006C22—24no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—42no—
2011C22—41no—
2012C22—42no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—42no—
2017C22C24×Q811yescharacteristic
2018C22C22×H(5,𝔽2)11yescharacteristic
2019C22H(7,𝔽2)12yes—
2020C222−1+611yescharacteristic
2021C222−1+612yes—
2022C4—24no—
2023C4—24no—
2024C4—22no—
2025C4—24no—
2026C4—24no—
2027C4—24no—
2028C4—24no—
2029C4—22no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—41no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C4—41no—
2050C4—41no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C2—44no—
2055C2—42no—
2056C2—42no—
2057C2#6285412yes—
2058C2#6288711yescharacteristic
2059C2#6297812yes—
2060C2Q8×H(5,𝔽2)11yescharacteristic
2061C2#6304511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#127C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #51601C2semidirect
3. #51220C2semidirect
4. #51081C2semidirect
5. #50707C2semidirect
6. #50698C2semidirect
7. #48861C2semidirect
8. #47983C2semidirect
9. #47981C2semidirect
11. #47725C2semidirect
12. #47025C2semidirect
13. #46441C2semidirect
14. #46004C2semidirect
15. #45504C2semidirect
17. #44745C2semidirect
18. #44449C2semidirect
19. #43891C2semidirect
20. #42825C2semidirect
21. #42184C2semidirect
22. #42004C2semidirect
23. #40618C2semidirect
24. #40616C2semidirect
25. #40614C2semidirect
26. #39978C2semidirect
27. #39646C2semidirect
28. #39592C2semidirect
29. #39366C2semidirect
30. #37686C2semidirect
31. #37195C2semidirect
32. #37136C2semidirect
33. #36755C2semidirect
381. #559Q8semidirect
1172. #124C2×Q8semidirect
1173. #124C2×Q8semidirect
1174. #123C2×Q8semidirect
1175. #123C2×Q8semidirect
1176. #123C2×Q8semidirect
1203. C4×Q8C2×Q8semidirect
1212. C4×D4C2×Q8semidirect
1213. C4×D4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#520352
#516012
#512202
#510812
#507072
#506982
#488612
#479832
#479812
#478182
#477252
#470252
#464412
#460042
#455042
#453572
#447452
#444492
#438912
#428252
#421842
#420042
#406182
#406162
#406142
#399782
#396462
#395922
#393662
#376862
#371952
#371362
#367552
#345102
#345002