Finite Group Databasebeta

← #7697442

Subgroups — #7697442

Order 512.

4837 conjugacy classes of subgroups.

The subgroup lattice has 2206 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59931C212yesmaximal, complemented
2#59927C211yesmaximal, characteristic, complemented
3#59886C211yesmaximal, characteristic, complemented
4#59830C211yesmaximal, characteristic, complemented
5#59149C212yesmaximal, complemented
6#59136C212yesmaximal, complemented
7#52290C211yesmaximal, characteristic, complemented
8#52162C211yesmaximal, characteristic, complemented
9C2×#2734C211yesmaximal, characteristic, complemented
10#44701C212yesmaximal, complemented
11#44387C212yesmaximal, complemented
12#44211C212yesmaximal, complemented
13#43567C212yesmaximal, complemented
14#43562C212yesmaximal, complemented
15#43551C212yesmaximal, complemented
16#43551C212yesmaximal, complemented
17#43132C212yesmaximal, complemented
18#43124C212yesmaximal, complemented
19#39751C211yesmaximal, characteristic, complemented
20#39748C212yesmaximal, complemented
21#39712C212yesmaximal, complemented
22#39708C211yesmaximal, characteristic, complemented
23#39701C211yesmaximal, characteristic, complemented
24#39699C212yesmaximal, complemented
25#39614C211yesmaximal, characteristic, complemented
26#39610C212yesmaximal, complemented
27#38456C212yesmaximal, complemented
28#38453C211yesmaximal, characteristic, complemented
29#38447C211yesmaximal, characteristic, complemented
30#38443C212yesmaximal, complemented
31#36277C211yesmaximal, characteristic, complemented
32#36129C212yesmaximal, complemented
33#35951C212yesmaximal, complemented
34#35931C212yesmaximal, complemented
35#35931C212yesmaximal, complemented
36#34333C212yesmaximal, complemented
37#34332C211yesmaximal, characteristic, complemented
38#34325C212yesmaximal
39#34323C211yesmaximal, characteristic
40C2×#554C2211yescharacteristic
41C2×#554C2212yes—
42C2×#554C2212yes—
43C2×#553C2211yescharacteristic
44C2×#533C2212yes—
45C22×C4⋊Q8C2212yes—
46#2863C2211yescharacteristic
47#2862C2212yes—
48#2857C2212yes—
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2855C2211yescharacteristic
52#2806C2211yescharacteristic
53#2805C2211yescharacteristic
54#2805C2211yescharacteristic
55#2805C2211yescharacteristic
56#2804C2211yescharacteristic
57#2802C2212yes—
58#2802C2212yes—
59#2792C2212yes—
60#2792C2212yes—
61#2791C2212yes—
62#2791C2212yes—
63#2791C2212yes—
64#2790C2212yes—
65#2788C2212yes—
66#2788C2212yes—
67#2784C2212yes—
68#2784C2212yes—
69#2780C2212yes—
70#2774C2212yes—
71#2774C2212yes—
72#2774C2212yes—
73#2774C2212yes—
74#2768C2212yes—
75#2768C2212yes—
76#2763C2212yes—
77#2763C2212yes—
78#2755C2212yes—
79#2755C2212yes—
80#2755C2212yes—
81#2748C2212yes—
82#2742C2212yes—
83#2742C2212yes—
84#2734C2212yes—
85#2734C2212yes—
86#2734C2211yescharacteristic
87#2734C2211yescharacteristic
88#2734C2212yes—
89#2734C2212yes—
90#2734C2211yescharacteristic
91#2734C2212yes—
92#2734C2211yescharacteristic
93#2734C2212yes—
94#2732C2211yescharacteristic
95#2729C2212yes—
96#2729C2212yes—
97#2729C2212yes—
98#2729C2212yes—
99#2726C2211yescharacteristic
100#2726C2211yescharacteristic
101#2726C2211yescharacteristic
102#2726C2211yescharacteristic
103#2720C2212yes—
104#2720C2212yes—
105#2720C2212yes—
106#2720C2212yes—
107#2713C2212yes—
108#2713C2212yes—
109#2713C2212yes—
110#2713C2212yes—
111#2704C2212yes—
112#2704C2212yes—
113#2704C2212yes—
114#2692C2212yes—
115#2692C2212yes—
116#2692C2212yes—
117#2692C2212yes—
118#2683C2211yescharacteristic
119#2683C2211yescharacteristic
120#2677C2212yes—
121#2677C2212yes—
122#2667C2212yes—
123#2666C2212yes—
124#2666C2212yes—
125#2666C2212yes—
126#2665C2212yes—
127#2665C2212yes—
128#2659C2212yes—
129#2659C2212yes—
130#2659C2212yes—
131#2612C2212yes—
132#2612C2212yes—
133#2612C2212yes—
134#2607C2212yes—
135#2606C2212yes—
136#2605C2212yes—
137#2605C2212yes—
138#2605C2212yes—
139#2590C2212yes—
140#2590C2212yes—
141#2590C2212yes—
142#2589C2212yes—
143#2589C2212yes—
144#2589C2212yes—
145#2588C2212yes—
146#2588C2212yes—
147#2588C2212yes—
148#2588C2212yes—
149#2588C2212yes—
150#2587C2212yes—
151#2586C2212yes—
152#2586C2212yes—
153#2586C2212yes—
154#2586C2212yes—
155#2586C2212yes—
156#2586C2212yes—
157#2585C2212yes—
158#2585C2212yes—
159#2585C2212yes—
160#2584C2212yes—
161#2583C2212yes—
162#2583C2212yes—
163#2579C2212yes—
164#2579C2212yes—
165#2579C2212yes—
166#2579C2212yes—
167#2574C2212yes—
168#2574C2212yes—
169#2574C2212yes—
170#2574C2212yes—
171#2574C2212yes—
172#2574C2212yes—
173#2569C2212yes—
174#2569C2212yes—
175#2569C2212yes—
176#2569C2212yes—
177#2569C2212yes—
178#2567C2212yes—
179#2564C2212yes—
180#2564C2212yes—
181#2564C2212yes—
182#2564C2212yes—
183#2564C2212yes—
184#2564C2212yes—
185#2563C2212yes—
186#2556C2212yes—
187#2556C2212yes—
188#2556C2212yes—
189#2556C2212yes—
190#2556C2212yes—
191#2550C2212yes—
192#2550C2212yes—
193#2550C2212yes—
194#2550C2212yes—
195#2550C2212yes—
196#2549C2212yes—
197#2549C2212yes—
198#2549C2212yes—
199#2549C2212yes—
200#2522C2212yes—
201#2522C2212yes—
202#2520C2212yes—
203#2520C2212yes—
204#2520C2212yes—
205#2520C2212yes—
206#2520C2212yes—
207#2520C2212yes—
208#2511C2211yescharacteristic
209#2508C2212yes—
210#2506C2212yes—
211#2505C2212yes—
212#2492C2212yes—
213#2492C2212yes—
214#2492C2212yes—
215#2492C2212yes—
216#2492C2211yescharacteristic
217#2487C2212yes—
218#2487C2211yescharacteristic
219#2473C2212yes—
220#2473C2212yes—
221#2473C2212yes—
222#2465C2212yes—
223#2465C2212yes—
224#2465C2212yes—
225#2465C2212yes—
226#2465C2212yes—
227#2465C2212yes—
228#2465C2212yes—
229#2462C2212yes—
230#2462C2212yes—
231#2462C2212yes—
232#2462C2212yes—
233#2462C2212yes—
234#2462C2212yes—
235#2462C2212yes—
236#2452C2212yes—
237#2452C2212yes—
238#2451C2212yes—
239#2451C2211yescharacteristic
240#2451C2212yes—
241#2451C2212yes—
242#2450C2212yes—
243#2450C2212yes—
244#2449C2212yes—
245#2449C2212yes—
246#2449C2212yes—
247#2449C2212yes—
248#2446C2212yes—
249#2446C2212yes—
250#2442C2212yes—
251#2442C2212yes—
252#2442C2212yes—
253#2442C2212yes—
254#2442C2212yes—
255#2440C2212yes—
256#2440C2212yes—
257#2440C2212yes—
258#2439C2212yes—
259#2439C2212yes—
260#2438C2212yes—
261#2438C2212yes—
262#2438C2212yes—
263#2429C2212yes—
264#2429C2212yes—
265#2429C2212yes—
266#2423C2211yescharacteristic
267#2417C2212yes—
268#2417C2212yes—
269#2417C2212yes—
270#2417C2212yes—
271#2417C2212yes—
272#2417C2212yes—
273#2409C2211yescharacteristic
274#2409C2212yes—
275#2409C2212yes—
276#2409C2212yes—
277#2409C2212yes—
278#2402C2212yes—
279#2399C2212yes—
280#2399C2212yes—
281#2396C2212yes—
282#2396C2212yes—
283#2396C2212yes—
284C2×#398C2212yes—
285C2×#395C2212yes—
286C2×#395C2212yes—
287#2374C2212yes—
288#2373C2212yes—
289#2373C2212yes—
290#2373C2212yes—
291#2371C2212yes—
292#2370C2211yescharacteristic
293#2370C2212yes—
294#2370C2212yes—
295#2370C2212yes—
296#2369C2212yes—
297#2369C2211yescharacteristic
298#2368C2212yes—
299#2368C2212yes—
300#2368C2212yes—
301#2368C2212yes—
302#2368C2212yes—
303#2365C2212yes—
304#2364C2212yes—
305#2364C2212yes—
306#2364C2212yes—
307#2363C2211yescharacteristic
308#2361C2212yes—
309#2361C2212yes—
310#2361C2211yescharacteristic
311#2360C2212yes—
312#2360C2211yescharacteristic
313#2360C2212yes—
314#2360C2211yescharacteristic
315#2360C2212yes—
316#2360C2212yes—
317#2359C2212yes—
318#2359C2212yes—
319#2355C2212yes—
320#2353C2212yes—
321#2353C2212yes—
322#2353C2212yes—
323#2352C2212yes—
324#2352C2211yescharacteristic
325#2352C2212yes—
326Q8×C4⋊C4C2211yescharacteristic
327#2349C2211yescharacteristic
328#2349C2212yes—
329#2349C2212yes—
330D4×C4⋊C4C2212yes—
331D4×C4⋊C4C2212yes—
332D4×C4⋊C4C2211yescharacteristic
333#2346C2211yescharacteristic
334#2345C2211yescharacteristic
335#2345C2212yes—
336#2345C2211yescharacteristic
337#2345C2211yescharacteristic
338#2345C2212yes—
339#2345C2212yes—
340#2345C2211yescharacteristic
341#2343C2212yes—
342Q8×C22⋊C4C2211yescharacteristic
343Q8×C22⋊C4C2212yes—
344#2336C2212yes—
345#2335C2212yes—
346#2335C2212yes—
347#2334C2212yes—
348#2334C2212yes—
349#2333C2212yes—
350#2331C2212yes—
351#2330C2212yes—
352#2330C2212yes—
353#2329C2212yes—
354#2329C2212yes—
355#2329C2212yes—
356#2329C2212yes—
357#2329C2212yes—
358#2329C2212yes—
359#2325C2212yes—
360#2325C2212yes—
361#2325C2212yes—
362C4×C4⋊Q8C2211yescharacteristic
363C4×C4⋊Q8C2212yes—
364C4×#125C2211yescharacteristic
365C4×#125C2212yes—
366C4×#126C2212yes—
367C4×C22⋊Q8C2212yes—
368C4×C22⋊Q8C2211yescharacteristic
369C4×C22⋊Q8C2211yescharacteristic
370C4×C22⋊Q8C2212yes—
371C4×C22⋊Q8C2211yescharacteristic
372C4×#123C2212yes—
373C4×#121C2212yes—
374C4×#121C2211yescharacteristic
375C4×#121C2211yescharacteristic
376#2298C2212yes—
377#2296C2211yescharacteristic
378#2295C2211yescharacteristic
379#2295C2211yescharacteristic
380#2295C2212yes—
381C2×#391C2211yescharacteristic
382#2293C2211yescharacteristic
383C2×#389C2211yescharacteristic
384C2×#389C2211yescharacteristic
385C2×#389C2211yescharacteristic
386#2290C2212yes—
387C2×#387C2212yes—
388C2×#387C2212yes—
389C2×#387C2212yes—
390#2275C2212yes—
391#2275C2212yes—
392#2275C2212yes—
393C42×D4C2211yescharacteristic
394C42×D4C2212yes—
395C23×Q8C2311yescharacteristic
396C23×Q8C2312yes—
397#554—28no—
398#554—216no—
399#554—48no—
400#553Q8116yescomplemented
401#533—48no—
402C2×C4⋊Q8—48no—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2312yes—
411C2×C4⋊Q8C2312yes—
412C2×C4⋊Q8C2312yes—
413C2×C4⋊Q8C2312yes—
414C2×C4⋊Q8C2311yescharacteristic
415C2×#126C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2311yescharacteristic
425C2×#123C2312yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2311yescharacteristic
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2311yescharacteristic
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2311yescharacteristic
502C22×C42C2312yes—
503C22×C42C2312yes—
504C22×C42C2311yescharacteristic
505C22×C42C2311yescharacteristic
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
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#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
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#396C2312yes—
607#396C2312yes—
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#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2311yescharacteristic
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2311yescharacteristic
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#391C2311yescharacteristic
699#391C2312yes—
700#391C2311yescharacteristic
701#391C2311yescharacteristic
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2311yescharacteristic
707#391C2311yescharacteristic
708#391C2311yescharacteristic
709#391C2311yescharacteristic
710#391C2311yescharacteristic
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2311yescharacteristic
715#390C2311yescharacteristic
716#389C2312yes—
717#389C2312yes—
718#389C2311yescharacteristic
719#389C2311yescharacteristic
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2311yescharacteristic
726#389C2311yescharacteristic
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#389C2311yescharacteristic
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2311yescharacteristic
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2311yescharacteristic
774#389C2311yescharacteristic
775#389C2311yescharacteristic
776#389C2311yescharacteristic
777#389C2311yescharacteristic
778#389C2311yescharacteristic
779#389C2312yes—
780#389C2312yes—
781#389C2311yescharacteristic
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2311yescharacteristic
788#389C2311yescharacteristic
789#389C2312yes—
790#389C2311yescharacteristic
791#389C2311yescharacteristic
792#389C2311yescharacteristic
793#389C2311yescharacteristic
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#388C2312yes—
819#388C2312yes—
820#388C2312yes—
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#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#384C2312yes—
991#384C2311yescharacteristic
992#384C2312yes—
993#384C2312yes—
994#384C2311yescharacteristic
995#383C2312yes—
996#383C2312yes—
997#382C2311yescharacteristic
998#382C2312yes—
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#381C2312yes—
1008#381C2312yes—
1009#380C2312yes—
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#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2311yescharacteristic
1032#380C2312yes—
1033#380C2311yescharacteristic
1034#380C2312yes—
1035#380C2311yescharacteristic
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2311yescharacteristic
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2311yescharacteristic
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2311yescharacteristic
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2311yescharacteristic
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2311yescharacteristic
1058C4×C4⋊C4C2311yescharacteristic
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2311yescharacteristic
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2311yescharacteristic
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2311yescharacteristic
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2311yescharacteristic
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C43C2312yes—
1147C43C2311yescharacteristic
1148C22×Q8—24no—
1149C22×Q8—42no—
1150C22×Q8—44no—
1151C22×Q8—44no—
1152C22×Q8—81no—
1153C22×Q8—82no—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×Q8C2411yescharacteristic
1162C22×Q8C2412yes—
1163C22×Q8C2412yes—
1164C22×Q8C2412yes—
1165C22×Q8C2411yescharacteristic
1166C22×D4C2411yescharacteristic
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2411yescharacteristic
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2411yescharacteristic
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2411yescharacteristic
1187C23×C4C2412yes—
1188C23×C4C2411yescharacteristic
1189C23×C4C2412yes—
1190C23×C4C2411yescharacteristic
1191C4⋊Q8—28no—
1192C4⋊Q8—28no—
1193C4⋊Q8—28no—
1194C4⋊Q8—24no—
1195C4⋊Q8—44no—
1196C4⋊Q8—44no—
1197C4⋊Q8—44no—
1198C4⋊Q8—44no—
1199C4⋊Q8—44no—
1200C4⋊Q8—44no—
1201C4⋊Q8—44no—
1202C4⋊Q8—81no—
1203#126C2×Q8116yescomplemented
1204#125—28no—
1205#125—28no—
1206#125—28no—
1207#125—44no—
1208#125—44no—
1209#125—44no—
1210#125—44no—
1211#125—82no—
1212#125C2×Q818yescomplemented
1213#123C2×Q8116yescomplemented
1214C22⋊Q8—28no—
1215C22⋊Q8—24no—
1216C22⋊Q8—28no—
1217C22⋊Q8—28no—
1218C22⋊Q8—28no—
1219C22⋊Q8—24no—
1220C22⋊Q8—28no—
1221C22⋊Q8—28no—
1222C22⋊Q8—28no—
1223C22⋊Q8—28no—
1224C22⋊Q8—28no—
1225C22⋊Q8—24no—
1226C22⋊Q8—44no—
1227C22⋊Q8—44no—
1228C22⋊Q8—44no—
1229C22⋊Q8—44no—
1230C22⋊Q8—44no—
1231C22⋊Q8—44no—
1232C22⋊Q8—44no—
1233C22⋊Q8—82no—
1234C22⋊Q8—82no—
1235C22⋊Q8—82no—
1236C22⋊Q8—82no—
1237C22⋊Q8—82no—
1238C22⋊Q8—81no—
1239#121C2×Q8116yes—
1240#121C2×Q818yes—
1241#121C2×Q818yescomplemented
1242C4×Q8—24no—
1243C4×Q8—24no—
1244C4×Q8—28no—
1245C4×Q8—44no—
1246C4×Q8—44no—
1247C4×Q8—44no—
1248C4×Q8—44no—
1249C4×Q8—81no—
1250C4×Q8—81no—
1251C4×Q8—81no—
1252C4×Q8—82no—
1253C4×D4—28no—
1254C4×D4—28no—
1255C4×D4—28no—
1256C4×D4—24no—
1257C4×D4—28no—
1258C4×D4—44no—
1259C4×D4—44no—
1260C4×D4—44no—
1261C4×D4—42no—
1262C4×D4—44no—
1263C4×D4—44no—
1264C4×D4—44no—
1265C4×D4—44no—
1266C4×D4—81no—
1267C4×D4—81no—
1268C4×D4C2×Q8116yes—
1269C4×D4C2×Q818yes—
1270C4×D4C2×Q818yescomplemented
1271#117—44no—
1272#117—44no—
1273#117—81no—
1274#117C2×Q818yescomplemented
1275C2×C4⋊C4—24no—
1276C2×C4⋊C4—28no—
1277C2×C4⋊C4—44no—
1278C2×C4⋊C4—44no—
1279C2×C4⋊C4—44no—
1280C2×C4⋊C4—44no—
1281C2×C4⋊C4—44no—
1282C2×C4⋊C4—44no—
1283C2×C4⋊C4—42no—
1284C2×C4⋊C4—44no—
1285C2×C4⋊C4—81no—
1286C2×C4⋊C4—81no—
1287C2×C4⋊C4—81no—
1288C2×C4⋊C4C2×Q818yes—
1289C2×C4⋊C4#4118yes—
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⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2411yescharacteristic
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2411yescharacteristic
1382C2×C4⋊C4C2411yescharacteristic
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2411yescharacteristic
1396C2×C4⋊C4C2411yescharacteristic
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2411yescharacteristic
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2411yescharacteristic
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2411yescharacteristic
1403C2×C4⋊C4C2412yes—
1404C2×C4⋊C4C2411yescharacteristic
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2411yescharacteristic
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2411yescharacteristic
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2411yescharacteristic
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2411yescharacteristic
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2411yescharacteristic
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2411yescharacteristic
1445C2×C22⋊C4C2412yes—
1446C2×C42—44no—
1447C2×C42—44no—
1448C2×C42—81no—
1449C2×C42—81no—
1450C2×C42C2411yescharacteristic
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2411yescharacteristic
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2411yescharacteristic
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2411yescharacteristic
1470C2×C42C2411yescharacteristic
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2411yescharacteristic
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2411yescharacteristic
1482C2×C42C2411yescharacteristic
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2411yescharacteristic
1486C2×C42C2411yescharacteristic
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2411yescharacteristic
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2411yescharacteristic
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2411yescharacteristic
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#95C2411yescharacteristic
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2411yescharacteristic
1555#95C2411yescharacteristic
1556#95C2412yes—
1557#95C2412yes—
1558#95C2411yescharacteristic
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—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612C24C2512yes—
1613C24C2511yescharacteristic
1614C24C2511yescharacteristic
1615C2×Q8—22no—
1616C2×Q8—24no—
1617C2×Q8—24no—
1618C2×Q8—24no—
1619C2×Q8—24no—
1620C2×Q8—24no—
1621C2×Q8—24no—
1622C2×Q8—22no—
1623C2×Q8—24no—
1624C2×Q8—41no—
1625C2×Q8—41no—
1626C2×Q8—42no—
1627C2×Q8—41no—
1628C2×Q8—42no—
1629C2×Q8—41no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×Q8—42no—
1634C2×Q8—41no—
1635C2×Q8—42no—
1636C2×Q8—42no—
1637C2×Q8—42no—
1638C2×Q8—42no—
1639C2×Q8—42no—
1640C2×Q8—42no—
1641C2×Q8—41no—
1642C2×Q8—42no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×Q8—42no—
1646C2×Q8—42no—
1647C2×Q8—42no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×Q8—88no—
1651C2×Q8—816no—
1652C2×Q8H(5,𝔽2)14yes—
1653C2×D4—22no—
1654C2×D4—24no—
1655C2×D4—24no—
1656C2×D4—22no—
1657C2×D4—42no—
1658C2×D4—41no—
1659C2×D4—42no—
1660C2×D4—41no—
1661C2×D4C22×Q818yes—
1662C2×D4C22×Q814yes—
1663C2×D4C22×Q814yes—
1664C2×D4C22×Q818yes—
1665C22×C4—22no—
1666C22×C4—24no—
1667C22×C4—24no—
1668C22×C4—24no—
1669C22×C4—24no—
1670C22×C4—22no—
1671C22×C4—24no—
1672C22×C4—22no—
1673C22×C4—24no—
1674C22×C4—24no—
1675C22×C4—24no—
1676C22×C4—24no—
1677C22×C4—24no—
1678C22×C4—22no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—41no—
1683C22×C4—41no—
1684C22×C4—41no—
1685C22×C4—41no—
1686C22×C4—41no—
1687C22×C4—41no—
1688C22×C4—42no—
1689C22×C4—41no—
1690C22×C4—42no—
1691C22×C4—41no—
1692C22×C4—41no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—41no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—41no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4C22×Q818yes—
1723C22×C4C22×Q814yes—
1724C22×C4C22×Q814yes—
1725C22×C4C22×Q818yes—
1726C22×C4C2×#4118yes—
1727C22×C4C2×#4114yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2511yescharacteristic
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2511yescharacteristic
1737C22×C4C2512yes—
1738C22×C4C2511yescharacteristic
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2511yescharacteristic
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2511yescharacteristic
1749C22×C4C2512yes—
1750C22×C4C2511yescharacteristic
1751C22×C4C2511yescharacteristic
1752C22×C4C2511yescharacteristic
1753C22×C4C2511yescharacteristic
1754C22×C4C2512yes—
1755C22×C4C2511yescharacteristic
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2511yescharacteristic
1759C22×C4C2511yescharacteristic
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2511yescharacteristic
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—22no—
1769C4⋊C4—22no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—22no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—22no—
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—41no—
1817C4⋊C4—41no—
1818C4⋊C4—41no—
1819C4⋊C4—41no—
1820C4⋊C4—41no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—41no—
1829C4⋊C4—41no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—41no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—41no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—41no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—41no—
1868C4⋊C4—42no—
1869C4⋊C4C22×Q814yes—
1870C4⋊C4C22×Q814yes—
1871C4⋊C4C22×Q818yes—
1872C4⋊C4C22×Q814yes—
1873C4⋊C4C22×Q818yes—
1874C4⋊C4C22×Q814yes—
1875C4⋊C4C22×Q818yes—
1876C4⋊C4C2×#4114yes—
1877C4⋊C4C2×#4118yes—
1878C4⋊C4C2×#4114yes—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—22no—
1883C22⋊C4—24no—
1884C22⋊C4—22no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—22no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—41no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4C22×Q818yes—
1915C22⋊C4C22×Q814yes—
1916C22⋊C4C22×Q818yes—
1917C22⋊C4C22×Q814yes—
1918C22⋊C4C22×Q818yes—
1919C22⋊C4C22×Q818yes—
1920C42—24no—
1921C42—24no—
1922C42—24no—
1923C42—24no—
1924C42—22no—
1925C42—24no—
1926C42—24no—
1927C42—24no—
1928C42—22no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—41no—
1934C42—41no—
1935C42—41no—
1936C42—41no—
1937C42—41no—
1938C42—41no—
1939C42—41no—
1940C42—42no—
1941C42—42no—
1942C42—41no—
1943C42—42no—
1944C42—42no—
1945C42—42no—
1946C42—42no—
1947C42—42no—
1948C42—41no—
1949C42—42no—
1950C42—42no—
1951C42—42no—
1952C42—41no—
1953C42—42no—
1954C42—42no—
1955C42—42no—
1956C42—42no—
1957C42—42no—
1958C42—42no—
1959C42—42no—
1960C42—42no—
1961C42—42no—
1962C42C22×Q818yes—
1963C42C22×Q814yes—
1964C23—21no—
1965C23—21no—
1966C23—21no—
1967C23—21no—
1968C23—21no—
1969C23—22no—
1970C23—22no—
1971C23—21no—
1972C23—22no—
1973C23—21no—
1974C23—22no—
1975C23—21no—
1976C23—21no—
1977C23—21no—
1978C23—22no—
1979C23—22no—
1980C23C23×Q814yes—
1981C23C23×Q812yes—
1982C23C23×Q812yes—
1983C23C22×#4112yes—
1984C23#58512yes—
1985C23C2611yescharacteristic
1986Q8—44no—
1987Q8—44no—
1988Q8—48no—
1989Q8—84no—
1990Q8—84no—
1991Q8—84no—
1992Q8—84no—
1993Q8—84no—
1994Q8—84no—
1995Q8—82no—
1996Q8—84no—
1997Q8—84no—
1998D4—216no—
1999D4—28no—
2000D4—48no—
2001D4—44no—
2002C2×C4—21no—
2003C2×C4—22no—
2004C2×C4—21no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—22no—
2011C2×C4—21no—
2012C2×C4—22no—
2013C2×C4—21no—
2014C2×C4—21no—
2015C2×C4—21no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—21no—
2022C2×C4—21no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—21no—
2026C2×C4—21no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—21no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—22no—
2035C2×C4—21no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—21no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—21no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—21no—
2060C2×C4—22no—
2061C2×C4—21no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—21no—
2066C2×C4—21no—
2067C2×C4—22no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—21no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—21no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—21no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—21no—
2095C2×C4—22no—
2096C2×C4—48no—
2097C2×C4—48no—
2098C2×C4—44no—
2099C2×C4—44no—
2100C2×C4—48no—
2101C2×C4—44no—
2102C2×C4—44no—
2103C2×C4—48no—
2104C2×C4—44no—
2105C2×C4—84no—
2106C2×C4—84no—
2107C2×C4—84no—
2108C2×C4—84no—
2109C2×C4—84no—
2110C2×C4—82no—
2111C2×C4—84no—
2112C2×C4—84no—
2113C2×C4—84no—
2114C2×C4—162no—
2115C2×C4—162no—
2116C2×C4—162no—
2117C2×C4C23×Q812yes—
2118C2×C4C23×Q814yes—
2119C2×C4C23×Q812yes—
2120C2×C4C23×Q814yes—
2121C2×C4C23×Q812yes—
2122C2×C4C23×Q812yes—
2123C2×C4C23×Q812yes—
2124C2×C4C23×Q814yes—
2125C2×C4C22×#4114yes—
2126C2×C4C22×#4112yes—
2127C2×C4C22×#4112yes—
2128C2×C4C22×#4114yes—
2129C2×C4C2×H(5,𝔽2)14yes—
2130C2×C4C2×H(5,𝔽2)12yes—
2131C22—22no—
2132C22—22no—
2133C22—22no—
2134C22—22no—
2135C22—22no—
2136C22—22no—
2137C22—24no—
2138C22—22no—
2139C22—22no—
2140C22—24no—
2141C22—24no—
2142C22—22no—
2143C22—42no—
2144C22—41no—
2145C22—42no—
2146C22—41no—
2147C22—41no—
2148C22—42no—
2149C22—41no—
2150C22—42no—
2151C22Q8×#4114yes—
2152C22C24×Q811yescharacteristic
2153C22C23×#4111yescharacteristic
2154C22C22×H(5,𝔽2)11yescharacteristic
2155C22C2×#58511yescharacteristic
2156C22H(7,𝔽2)11yescharacteristic
2157C222−1+611yescharacteristic
2158C222−1+611yescharacteristic
2159C4—22no—
2160C4—24no—
2161C4—24no—
2162C4—24no—
2163C4—24no—
2164C4—22no—
2165C4—22no—
2166C4—22no—
2167C4—22no—
2168C4—22no—
2169C4—24no—
2170C4—22no—
2171C4—24no—
2172C4—22no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—41no—
2177C4—42no—
2178C4—41no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—41no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—41no—
2188C4—42no—
2189C4—42no—
2190C4—41no—
2191C4—42no—
2192C4—42no—
2193C4—42no—
2194C4—42no—
2195C2—24no—
2196C2—44no—
2197C2—42no—
2198C2C2×Q8×#4111yescharacteristic
2199C2#6285411yescharacteristic
2200C2#6285611yescharacteristic
2201C2#6290011yescharacteristic
2202C2Q8×H(5,𝔽2)11yescharacteristic
2203C2#6298411yescharacteristic
2204C2#6306411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
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. #59927C2semidirect
3. #59886C2semidirect
4. #59830C2semidirect
5. #59149C2semidirect
6. #59136C2semidirect
7. #52290C2semidirect
8. #52162C2semidirect
9. C2×#2734C2semidirect
10. #44701C2semidirect
11. #44387C2semidirect
12. #44211C2semidirect
13. #43567C2semidirect
14. #43562C2semidirect
15. #43551C2semidirect
16. #43551C2semidirect
17. #43132C2semidirect
18. #43124C2semidirect
19. #39751C2semidirect
20. #39748C2semidirect
21. #39712C2semidirect
22. #39708C2semidirect
23. #39701C2semidirect
24. #39699C2semidirect
25. #39614C2semidirect
26. #39610C2semidirect
27. #38456C2semidirect
28. #38453C2semidirect
29. #38447C2semidirect
30. #38443C2semidirect
31. #36277C2semidirect
32. #36129C2semidirect
33. #35951C2semidirect
34. #35931C2semidirect
35. #35931C2semidirect
36. #34333C2semidirect
37. #34332C2semidirect
400. #553Q8semidirect
1203. #126C2×Q8semidirect
1212. #125C2×Q8semidirect
1213. #123C2×Q8semidirect
1241. #121C2×Q8semidirect
1270. C4×D4C2×Q8semidirect
1274. #117C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599312
#599272
#598862
#598302
#591492
#591362
#522902
#521622
C2×#27342
#447012
#443872
#442112
#435672
#435622
#435512
#431322
#431242
#397512
#397482
#397122
#397082
#397012
#396992
#396142
#396102
#384562
#384532
#384472
#384432
#362772
#361292
#359512
#359312
#343332
#343322
#343252
#343232