Finite Group Databasebeta

← #7682449

Subgroups — #7682449

Order 512.

4976 conjugacy classes of subgroups.

The subgroup lattice has 2126 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60035C212yesmaximal, complemented
2#59997C212yesmaximal, complemented
3#59955C212yesmaximal, complemented
4#59931C212yesmaximal, complemented
5#59873C211yesmaximal, characteristic, complemented
6#59830C211yesmaximal, characteristic, complemented
7#59801C212yesmaximal, complemented
8#59739C212yesmaximal, complemented
9#59731C212yesmaximal, complemented
10#59664C212yesmaximal, complemented
11#59656C212yesmaximal, complemented
12#59161C212yesmaximal, complemented
13#59144C211yesmaximal, characteristic, complemented
14#59125C211yesmaximal, characteristic
15#44741C212yesmaximal, complemented
16#44614C212yesmaximal, complemented
17#44372C212yesmaximal, complemented
18#44308C212yesmaximal, complemented
19#43868C212yesmaximal, complemented
20#43846C212yesmaximal, complemented
21#43806C212yesmaximal, complemented
22#43798C212yesmaximal, complemented
23#43085C212yesmaximal, complemented
24#43057C212yesmaximal, complemented
25#43028C212yesmaximal, complemented
26#43004C212yesmaximal, complemented
27#35459C212yesmaximal, complemented
28#35398C212yesmaximal, complemented
29#35389C212yesmaximal, complemented
30#34960C212yesmaximal, complemented
31C2×#2550C211yesmaximal, characteristic, complemented
32#34332C212yesmaximal, complemented
33#34327C212yesmaximal, complemented
34#34278C211yesmaximal, characteristic, complemented
35#34278C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2212yes—
38C2×#552C2212yes—
39C2×#548C2212yes—
40C2×#547C2211yescharacteristic
41C2×#539C2211yescharacteristic
42C2×#539C2211yescharacteristic
43C22×C4⋊Q8C2211yescharacteristic
44C22×#125C2211yescharacteristic
45#2810C2211yescharacteristic
46#2808C2211yescharacteristic
47#2805C2211yescharacteristic
48#2805C2212yes—
49#2805C2212yes—
50#2794C2212yes—
51#2791C2212yes—
52#2791C2212yes—
53#2787C2212yes—
54#2777C2212yes—
55#2771C2212yes—
56#2770C2212yes—
57#2766C2212yes—
58#2765C2212yes—
59#2762C2212yes—
60#2762C2212yes—
61#2759C2212yes—
62#2759C2212yes—
63#2739C2212yes—
64#2734C2211yescharacteristic
65#2732C2211yescharacteristic
66#2729C2212yes—
67#2728C2212yes—
68#2727C2211yescharacteristic
69#2726C2211yescharacteristic
70#2725C2212yes—
71#2721C2212yes—
72#2720C2212yes—
73#2720C2212yes—
74#2719C2212yes—
75#2719C2212yes—
76#2719C2212yes—
77#2717C2212yes—
78#2717C2212yes—
79#2713C2212yes—
80#2713C2212yes—
81#2707C2212yes—
82#2702C2212yes—
83#2702C2212yes—
84#2694C2212yes—
85#2690C2212yes—
86#2690C2212yes—
87#2689C2212yes—
88#2689C2212yes—
89#2689C2212yes—
90#2689C2212yes—
91#2683C2211yescharacteristic
92#2681C2212yes—
93#2674C2212yes—
94#2674C2212yes—
95#2674C2212yes—
96#2674C2212yes—
97#2612C2212yes—
98#2612C2212yes—
99#2611C2212yes—
100#2611C2212yes—
101#2607C2212yes—
102#2606C2212yes—
103#2605C2212yes—
104#2605C2212yes—
105#2605C2212yes—
106#2605C2212yes—
107#2604C2212yes—
108#2596C2212yes—
109#2596C2212yes—
110#2594C2212yes—
111#2591C2212yes—
112#2590C2212yes—
113#2590C2212yes—
114#2590C2212yes—
115#2589C2212yes—
116#2588C2212yes—
117#2588C2212yes—
118#2587C2212yes—
119#2586C2212yes—
120#2585C2212yes—
121#2581C2212yes—
122#2581C2212yes—
123#2579C2212yes—
124#2577C2212yes—
125#2576C2212yes—
126#2575C2212yes—
127#2575C2212yes—
128#2574C2212yes—
129#2573C2212yes—
130#2568C2211yescharacteristic
131#2564C2212yes—
132#2560C2212yes—
133#2560C2212yes—
134#2559C2212yes—
135#2558C2212yes—
136#2558C2212yes—
137#2558C2212yes—
138#2556C2212yes—
139#2556C2212yes—
140#2556C2212yes—
141#2556C2212yes—
142#2553C2212yes—
143#2553C2212yes—
144#2550C2212yes—
145#2550C2212yes—
146#2550C2212yes—
147#2550C2212yes—
148#2550C2212yes—
149#2550C2212yes—
150#2550C2212yes—
151#2550C2212yes—
152#2550C2212yes—
153#2550C2212yes—
154#2549C2212yes—
155#2549C2212yes—
156#2547C2211yescharacteristic
157#2546C2212yes—
158#2546C2211yescharacteristic
159#2542C2211yescharacteristic
160#2536C2212yes—
161#2533C2212yes—
162#2533C2212yes—
163#2533C2212yes—
164#2530C2212yes—
165#2530C2212yes—
166#2529C2212yes—
167#2529C2212yes—
168#2528C2212yes—
169#2528C2212yes—
170#2526C2212yes—
171#2524C2212yes—
172#2524C2212yes—
173#2522C2212yes—
174#2521C2212yes—
175#2521C2212yes—
176#2520C2212yes—
177#2520C2212yes—
178#2519C2212yes—
179#2519C2212yes—
180#2519C2212yes—
181#2519C2212yes—
182#2518C2212yes—
183#2518C2212yes—
184#2517C2212yes—
185#2515C2212yes—
186#2515C2212yes—
187#2508C2212yes—
188#2506C2212yes—
189#2505C2212yes—
190#2505C2212yes—
191#2505C2212yes—
192#2493C2212yes—
193#2493C2212yes—
194#2492C2212yes—
195#2491C2212yes—
196#2489C2212yes—
197#2488C2212yes—
198#2488C2212yes—
199#2488C2212yes—
200#2484C2212yes—
201#2481C2212yes—
202#2481C2212yes—
203#2481C2212yes—
204#2481C2212yes—
205#2479C2212yes—
206#2475C2212yes—
207#2475C2212yes—
208#2475C2212yes—
209#2473C2212yes—
210#2473C2212yes—
211#2473C2212yes—
212#2473C2212yes—
213#2473C2212yes—
214#2470C2212yes—
215#2470C2212yes—
216#2469C2212yes—
217#2469C2212yes—
218#2469C2212yes—
219#2466C2212yes—
220#2466C2212yes—
221#2465C2212yes—
222#2465C2212yes—
223#2465C2212yes—
224#2462C2212yes—
225#2462C2212yes—
226#2462C2212yes—
227#2462C2212yes—
228#2460C2212yes—
229#2458C2212yes—
230#2453C2212yes—
231#2451C2212yes—
232#2451C2212yes—
233#2450C2212yes—
234#2449C2212yes—
235#2449C2212yes—
236#2449C2212yes—
237#2449C2212yes—
238#2446C2212yes—
239#2443C2212yes—
240#2443C2212yes—
241#2443C2212yes—
242#2443C2212yes—
243#2443C2212yes—
244#2442C2212yes—
245#2442C2212yes—
246#2441C2212yes—
247#2440C2212yes—
248#2440C2212yes—
249#2440C2212yes—
250#2439C2212yes—
251#2438C2212yes—
252#2434C2212yes—
253#2432C2212yes—
254#2429C2212yes—
255#2429C2212yes—
256#2429C2212yes—
257#2425C2212yes—
258#2425C2212yes—
259#2425C2212yes—
260#2419C2212yes—
261#2419C2212yes—
262#2416C2212yes—
263#2413C2212yes—
264#2409C2212yes—
265#2406C2212yes—
266#2406C2212yes—
267#2402C2212yes—
268#2401C2212yes—
269#2396C2212yes—
270#2395C2212yes—
271C2×#398C2212yes—
272C2×#395C2212yes—
273#2374C2212yes—
274#2374C2212yes—
275#2373C2212yes—
276#2373C2212yes—
277#2373C2212yes—
278#2373C2212yes—
279#2373C2212yes—
280#2373C2212yes—
281#2372C2212yes—
282#2372C2212yes—
283#2371C2212yes—
284#2371C2212yes—
285#2371C2212yes—
286#2370C2212yes—
287#2370C2212yes—
288#2370C2212yes—
289#2370C2212yes—
290#2369C2212yes—
291#2368C2212yes—
292#2368C2212yes—
293#2368C2212yes—
294#2368C2212yes—
295#2367C2212yes—
296#2365C2211yescharacteristic
297#2365C2211yescharacteristic
298#2364C2212yes—
299#2364C2212yes—
300#2362C2212yes—
301#2362C2212yes—
302#2362C2212yes—
303#2361C2212yes—
304#2360C2212yes—
305#2360C2212yes—
306#2360C2212yes—
307#2360C2212yes—
308#2360C2212yes—
309#2360C2212yes—
310#2360C2212yes—
311#2360C2212yes—
312#2359C2212yes—
313#2359C2212yes—
314#2356C2212yes—
315#2353C2212yes—
316#2353C2212yes—
317#2352C2212yes—
318Q8×C4⋊C4C2212yes—
319D4×C4⋊C4C2212yes—
320D4×C4⋊C4C2212yes—
321D4×C4⋊C4C2212yes—
322#2345C2212yes—
323#2345C2212yes—
324Q8×C22⋊C4C2212yes—
325#2339C2212yes—
326#2337C2212yes—
327#2337C2212yes—
328#2332C2212yes—
329#2332C2212yes—
330#2330C2212yes—
331#2330C2212yes—
332#2329C2212yes—
333#2329C2211yescharacteristic
334#2329C2212yes—
335#2329C2212yes—
336#2329C2211yescharacteristic
337#2325C2211yescharacteristic
338#2325C2212yes—
339#2325C2211yescharacteristic
340#2322C2212yes—
341#2322C2212yes—
342#2318C2212yes—
343#2313C2211yescharacteristic
344#2313C2211yescharacteristic
345C4×C4⋊Q8C2212yes—
346C4×#125C2212yes—
347C4×#126C2212yes—
348C4×#124C2212yes—
349C4×C22⋊Q8C2211yescharacteristic
350C4×C22⋊Q8C2211yescharacteristic
351C4×C22⋊Q8C2212yes—
352C4×C22⋊Q8C2212yes—
353C4×C22⋊Q8C2212yes—
354C4×C22⋊Q8C2212yes—
355C4×#123C2212yes—
356C4×#123C2212yes—
357C4×#123C2212yes—
358C4×#121C2212yes—
359C4×#121C2211yescharacteristic
360C4×#121C2211yescharacteristic
361#2297C2212yes—
362#2295C2212yes—
363#2295C2212yes—
364C2×#391C2212yes—
365C2×#389C2212yes—
366C2×#389C2212yes—
367C2×#389C2211yescharacteristic
368C2×#389C2211yescharacteristic
369#2290C2212yes—
370#2290C2212yes—
371#2290C2212yes—
372C2×#382C2211yescharacteristic
373#2275C2212yes—
374#2275C2212yes—
375#2275C2212yes—
376C42×D4C2212yes—
377C2×C4×C4⋊C4C2211yescharacteristic
378C2×C4×C4⋊C4C2211yescharacteristic
379C22×#41C2312yes—
380C23×Q8C2312yes—
381#557—44no—
382#554—216no—
383#552—48no—
384#548—216no—
385#547—44no—
386#539—28no—
387#539—28no—
388C2×C4⋊Q8—44no—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2311yescharacteristic
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2311yescharacteristic
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#125—44no—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
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×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C42C2311yescharacteristic
494C22×C42C2311yescharacteristic
495C22×C42C2311yescharacteristic
496C22×C42C2312yes—
497C22×C42C2312yes—
498#401C2312yes—
499#401C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
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#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
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#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2311yescharacteristic
674#391C2311yescharacteristic
675#390C2312yes—
676#390C2312yes—
677#390C2311yescharacteristic
678#390C2311yescharacteristic
679#390C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2311yescharacteristic
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2311yescharacteristic
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2311yescharacteristic
737#389C2311yescharacteristic
738#389C2311yescharacteristic
739#389C2311yescharacteristic
740#389C2311yescharacteristic
741#389C2312yes—
742#389C2312yes—
743#389C2311yescharacteristic
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
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#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#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#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#385C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
931#385C2312yes—
932#385C2312yes—
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#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#384C2312yes—
961#384C2312yes—
962#384C2312yes—
963#383C2312yes—
964#383C2312yes—
965#383C2312yes—
966#383C2312yes—
967#383C2312yes—
968#382C2312yes—
969#382C2312yes—
970#382C2312yes—
971#382C2312yes—
972#382C2312yes—
973#382C2312yes—
974#382C2312yes—
975#382C2312yes—
976#382C2312yes—
977#382C2312yes—
978#381C2312yes—
979#381C2312yes—
980#381C2312yes—
981#381C2312yes—
982#381C2312yes—
983#381C2312yes—
984#381C2312yes—
985#380C2312yes—
986#380C2312yes—
987#380C2311yescharacteristic
988#380C2311yescharacteristic
989#380C2311yescharacteristic
990#380C2311yescharacteristic
991#380C2312yes—
992#380C2312yes—
993#380C2312yes—
994#380C2312yes—
995#380C2312yes—
996#380C2312yes—
997#380C2312yes—
998#380C2312yes—
999#380C2312yes—
1000#380C2312yes—
1001#380C2312yes—
1002C4×C4⋊C4C2312yes—
1003C4×C4⋊C4C2312yes—
1004C4×C4⋊C4C2312yes—
1005C4×C4⋊C4C2312yes—
1006C4×C4⋊C4C2312yes—
1007C4×C4⋊C4C2312yes—
1008C4×C4⋊C4C2312yes—
1009C4×C4⋊C4C2312yes—
1010C4×C4⋊C4C2312yes—
1011C4×C4⋊C4C2312yes—
1012C4×C4⋊C4C2312yes—
1013C4×C4⋊C4C2312yes—
1014C4×C4⋊C4C2312yes—
1015C4×C4⋊C4C2312yes—
1016C4×C4⋊C4C2311yescharacteristic
1017C4×C4⋊C4C2312yes—
1018C4×C4⋊C4C2312yes—
1019C4×C4⋊C4C2312yes—
1020C4×C4⋊C4C2312yes—
1021C4×C4⋊C4C2312yes—
1022C4×C4⋊C4C2312yes—
1023C4×C4⋊C4C2312yes—
1024C4×C4⋊C4C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2311yescharacteristic
1044C4×C4⋊C4C2311yescharacteristic
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C22⋊C4C2312yes—
1050C4×C22⋊C4C2312yes—
1051C4×C22⋊C4C2312yes—
1052C4×C22⋊C4C2312yes—
1053C4×C22⋊C4C2312yes—
1054C4×C22⋊C4C2312yes—
1055C4×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088#376C2312yes—
1089#376C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#95C2312yes—
1104C2×#95C2312yes—
1105C2×#95C2312yes—
1106C43C2312yes—
1107C2×#41—28no—
1108C2×#41—44no—
1109C2×#41—82no—
1110C22×Q8—28no—
1111C22×Q8—44no—
1112C22×Q8—82no—
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2412yes—
1117C22×Q8C2411yescharacteristic
1118C22×Q8C2412yes—
1119C22×Q8C2412yes—
1120C22×Q8C2411yescharacteristic
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2411yescharacteristic
1147C23×C4C2411yescharacteristic
1148C4⋊Q8—28no—
1149C4⋊Q8—24no—
1150C4⋊Q8—24no—
1151C4⋊Q8—42no—
1152C4⋊Q8—42no—
1153C4⋊Q8—44no—
1154C4⋊Q8—44no—
1155C4⋊Q8—44no—
1156C4⋊Q8—82no—
1157#126—28no—
1158#126—28no—
1159#126—28no—
1160#126—44no—
1161#126—44no—
1162#126—82no—
1163#125—28no—
1164#125—28no—
1165#125—28no—
1166#125—28no—
1167#125—28no—
1168#125—28no—
1169#125—44no—
1170#125—44no—
1171#125—44no—
1172#125—44no—
1173#125—44no—
1174#125—44no—
1175#124—28no—
1176#124—28no—
1177#124—28no—
1178#123—28no—
1179#123—28no—
1180#123—28no—
1181#123—28no—
1182#123—28no—
1183#123—44no—
1184#123—44no—
1185#123—82no—
1186C22⋊Q8—28no—
1187C22⋊Q8—28no—
1188C22⋊Q8—24no—
1189C22⋊Q8—28no—
1190C22⋊Q8—28no—
1191C22⋊Q8—28no—
1192C22⋊Q8—28no—
1193C22⋊Q8—28no—
1194C22⋊Q8—28no—
1195C22⋊Q8—28no—
1196C22⋊Q8—28no—
1197C22⋊Q8—28no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—82no—
1202C22⋊Q8#4118yescomplemented
1203#121—28no—
1204#121—28no—
1205#121—24no—
1206#121—44no—
1207#121#4118yes—
1208C4×Q8—28no—
1209C4×Q8—28no—
1210C4×Q8—44no—
1211C4×Q8—42no—
1212C4×Q8—42no—
1213C4×Q8—44no—
1214C4×Q8—44no—
1215C4×Q8—82no—
1216C4×Q8—82no—
1217C4×Q8—82no—
1218C4×D4—28no—
1219C4×D4—28no—
1220C4×D4—28no—
1221C4×D4—28no—
1222C4×D4—28no—
1223C4×D4—28no—
1224C4×D4—28no—
1225C4×D4—28no—
1226C4×D4—28no—
1227C4×D4—28no—
1228C4×D4—42no—
1229C4×D4—42no—
1230C4×D4—44no—
1231C4×D4—82no—
1232#117—44no—
1233#117—44no—
1234#117—44no—
1235#117—82no—
1236C2×C4⋊C4—24no—
1237C2×C4⋊C4—24no—
1238C2×C4⋊C4—28no—
1239C2×C4⋊C4—28no—
1240C2×C4⋊C4—24no—
1241C2×C4⋊C4—24no—
1242C2×C4⋊C4—44no—
1243C2×C4⋊C4—44no—
1244C2×C4⋊C4—42no—
1245C2×C4⋊C4—44no—
1246C2×C4⋊C4—42no—
1247C2×C4⋊C4—44no—
1248C2×C4⋊C4—44no—
1249C2×C4⋊C4—82no—
1250C2×C4⋊C4—82no—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
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×C42—24no—
1406C2×C42—42no—
1407C2×C42—42no—
1408C2×C42—82no—
1409C2×C42—82no—
1410C2×C42C2412yes—
1411C2×C42C2411yescharacteristic
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2411yescharacteristic
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2411yescharacteristic
1445C2×C42C2411yescharacteristic
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
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#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#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—
1564C24C2512yes—
1565C24C2512yes—
1566C24C2511yescharacteristic
1567#41—816no—
1568C2×Q8—24no—
1569C2×Q8—24no—
1570C2×Q8—24no—
1571C2×Q8—22no—
1572C2×Q8—24no—
1573C2×Q8—24no—
1574C2×Q8—24no—
1575C2×Q8—24no—
1576C2×Q8—24no—
1577C2×Q8—24no—
1578C2×Q8—41no—
1579C2×Q8—42no—
1580C2×Q8—42no—
1581C2×Q8—42no—
1582C2×Q8—41no—
1583C2×Q8—42no—
1584C2×Q8—41no—
1585C2×Q8—42no—
1586C2×Q8—42no—
1587C2×Q8—42no—
1588C2×Q8—41no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—816no—
1592C2×Q8C2×#4114yes—
1593C2×D4—24no—
1594C2×D4—24no—
1595C2×D4—24no—
1596C2×D4—24no—
1597C2×D4—24no—
1598C2×D4—24no—
1599C2×D4—24no—
1600C2×D4—22no—
1601C2×D4—24no—
1602C2×D4—41no—
1603C2×D4—42no—
1604C2×D4—41no—
1605C2×D4—41no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—41no—
1609C2×D4C2×#4118yes—
1610C2×D4C2×#4114yes—
1611C22×C4—22no—
1612C22×C4—22no—
1613C22×C4—22no—
1614C22×C4—24no—
1615C22×C4—22no—
1616C22×C4—22no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—22no—
1620C22×C4—22no—
1621C22×C4—22no—
1622C22×C4—24no—
1623C22×C4—24no—
1624C22×C4—24no—
1625C22×C4—24no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—24no—
1630C22×C4—24no—
1631C22×C4—24no—
1632C22×C4—24no—
1633C22×C4—24no—
1634C22×C4—24no—
1635C22×C4—24no—
1636C22×C4—24no—
1637C22×C4—41no—
1638C22×C4—41no—
1639C22×C4—41no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—41no—
1645C22×C4—41no—
1646C22×C4—41no—
1647C22×C4—41no—
1648C22×C4—41no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—41no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—41no—
1670C22×C4—42no—
1671C22×C4C2×#4114yes—
1672C22×C4C2×#4114yes—
1673C22×C42−1+414yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2511yescharacteristic
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2512yes—
1699C22×C4C2511yescharacteristic
1700C22×C4C2511yescharacteristic
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2511yescharacteristic
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—22no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—22no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—22no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—22no—
1749C4⋊C4—22no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—22no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—41no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—41no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—41no—
1783C4⋊C4—41no—
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—41no—
1793C4⋊C4—41no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—41no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—41no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4C2×#4118yes—
1806C4⋊C4C2×#4114yes—
1807C4⋊C4C2×#4114yes—
1808C4⋊C4H(5,𝔽2)14yes—
1809C4⋊C42−1+414yes—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—24no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4C2×#4118yes—
1859C22⋊C4C2×#4118yes—
1860C42—24no—
1861C42—24no—
1862C42—24no—
1863C42—24no—
1864C42—24no—
1865C42—24no—
1866C42—24no—
1867C42—24no—
1868C42—24no—
1869C42—22no—
1870C42—22no—
1871C42—24no—
1872C42—24no—
1873C42—24no—
1874C42—24no—
1875C42—24no—
1876C42—24no—
1877C42—42no—
1878C42—41no—
1879C42—41no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C23—21no—
1903C23—21no—
1904C23—21no—
1905C23—21no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23C22×#4114yes—
1920C23C22×#4112yes—
1921C23C22×#4112yes—
1922C23C2×2−1+412yes—
1923C23C2611yescharacteristic
1924Q8—44no—
1925Q8—48no—
1926Q8—48no—
1927Q8—48no—
1928Q8—82no—
1929Q8—84no—
1930Q8—84no—
1931Q8—84no—
1932D4—216no—
1933D4—44no—
1934D4—48no—
1935D4—48no—
1936D4—82no—
1937D4—84no—
1938C2×C4—28no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—22no—
1945C2×C4—21no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—22no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—21no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
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—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—48no—
2027C2×C4—48no—
2028C2×C4—48no—
2029C2×C4—48no—
2030C2×C4—44no—
2031C2×C4—84no—
2032C2×C4—84no—
2033C2×C4—84no—
2034C2×C4—84no—
2035C2×C4—84no—
2036C2×C4—84no—
2037C2×C4—82no—
2038C2×C4—84no—
2039C2×C4—82no—
2040C2×C4—84no—
2041C2×C4—84no—
2042C2×C4—84no—
2043C2×C4C22×#4114yes—
2044C2×C4C22×#4114yes—
2045C2×C4C22×#4112yes—
2046C2×C4C22×#4112yes—
2047C2×C4C22×#4114yes—
2048C2×C4C22×#4112yes—
2049C2×C4C22×#4112yes—
2050C2×C4C2×H(5,𝔽2)12yes—
2051C2×C4C2×H(5,𝔽2)14yes—
2052C2×C4C2×2−1+414yes—
2053C2×C4C2×2−1+414yes—
2054C2×C4C2×2−1+412yes—
2055C22—22no—
2056C22—22no—
2057C22—22no—
2058C22—22no—
2059C22—22no—
2060C22—22no—
2061C22—24no—
2062C22—24no—
2063C22—24no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22#348214yes—
2076C22C23×#4111yescharacteristic
2077C22C23×#4111yescharacteristic
2078C22C22×H(5,𝔽2)11yescharacteristic
2079C22C22×2−1+411yescharacteristic
2080C22C22×2−1+411yescharacteristic
2081C22H(7,𝔽2)11yescharacteristic
2082C222−1+611yescharacteristic
2083C4—24no—
2084C4—22no—
2085C4—22no—
2086C4—22no—
2087C4—22no—
2088C4—24no—
2089C4—24no—
2090C4—24no—
2091C4—22no—
2092C4—22no—
2093C4—24no—
2094C4—24no—
2095C4—42no—
2096C4—42no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C4—42no—
2101C4—42no—
2102C4—42no—
2103C4—42no—
2104C4—42no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C2—24no—
2116C2—44no—
2117C2—82no—
2118C2C2×#348211yescharacteristic
2119C2#6283311yescharacteristic
2120C2#6286511yescharacteristic
2121C2#6298311yescharacteristic
2122C2#6298411yescharacteristic
2123C2#6300011yescharacteristic
2124C2#6300111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59125C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60035C2semidirect
2. #59997C2semidirect
3. #59955C2semidirect
4. #59931C2semidirect
5. #59873C2semidirect
6. #59830C2semidirect
7. #59801C2semidirect
8. #59739C2semidirect
9. #59731C2semidirect
10. #59664C2semidirect
11. #59656C2semidirect
12. #59161C2semidirect
13. #59144C2semidirect
15. #44741C2semidirect
16. #44614C2semidirect
17. #44372C2semidirect
18. #44308C2semidirect
19. #43868C2semidirect
20. #43846C2semidirect
21. #43806C2semidirect
22. #43798C2semidirect
23. #43085C2semidirect
24. #43057C2semidirect
25. #43028C2semidirect
26. #43004C2semidirect
27. #35459C2semidirect
28. #35398C2semidirect
29. #35389C2semidirect
30. #34960C2semidirect
31. C2×#2550C2semidirect
32. #34332C2semidirect
33. #34327C2semidirect
34. #34278C2semidirect
35. #34278C2semidirect
1202. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600352
#599972
#599552
#599312
#598732
#598302
#598012
#597392
#597312
#596642
#596562
#591612
#591442
#591252
#447412
#446142
#443722
#443082
#438682
#438462
#438062
#437982
#430852
#430572
#430282
#430042
#354592
#353982
#353892
#349602
C2×#25502
#343322
#343272
#342782