Finite Group Databasebeta

← #7901055

Subgroups — #7901055

Order 512.

4299 conjugacy classes of subgroups.

The subgroup lattice has 2137 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59927C211yesmaximal, characteristic, complemented
2#59486C212yesmaximal, complemented
3#52287C211yesmaximal, characteristic, complemented
4#50632C212yesmaximal, complemented
5#49527C212yesmaximal, complemented
6#49031C212yesmaximal, complemented
7#48697C212yesmaximal, complemented
8#48631C212yesmaximal, complemented
9#47945C212yesmaximal, complemented
10#47346C212yesmaximal, complemented
11#46986C212yesmaximal, complemented
12#46205C211yesmaximal, characteristic, complemented
13#45787C211yesmaximal, characteristic, complemented
14#44954C212yesmaximal, complemented
15#44317C212yesmaximal, complemented
16#43486C212yesmaximal, complemented
17#43445C212yesmaximal, complemented
18#43406C212yesmaximal
19#41542C212yesmaximal, complemented
20#41303C212yesmaximal, complemented
21#41106C212yesmaximal, complemented
22#41055C212yesmaximal, complemented
23#40274C212yesmaximal, complemented
24#40190C212yesmaximal, complemented
25#39831C211yesmaximal, characteristic, complemented
26#39711C211yesmaximal, characteristic, complemented
27#39640C211yesmaximal, characteristic, complemented
28#38794C212yesmaximal, complemented
29#38782C211yesmaximal, characteristic, complemented
30#38493C211yesmaximal, characteristic, complemented
31#38444C211yesmaximal, characteristic, complemented
32#37168C211yesmaximal, characteristic, complemented
33#37140C211yesmaximal, characteristic, complemented
34#36401C211yesmaximal, characteristic
35#35812C212yesmaximal, complemented
36#35471C212yesmaximal, complemented
37#35110C211yesmaximal, characteristic, complemented
38#34525C212yesmaximal, complemented
39#34334C211yesmaximal, characteristic, complemented
40C2×#563C2212yes—
41C2×D4×Q8C2211yescharacteristic
42#2863C2212yes—
43#2860C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2211yescharacteristic
46#2855C2211yescharacteristic
47#2854C2211yescharacteristic
48#2851C2211yescharacteristic
49#2851C2211yescharacteristic
50#2836C2212yes—
51#2833C2212yes—
52#2827C2212yes—
53#2814C2212yes—
54#2811C2211yescharacteristic
55#2809C2211yescharacteristic
56#2808C2211yescharacteristic
57#2806C2211yescharacteristic
58#2806C2211yescharacteristic
59#2806C2212yes—
60#2806C2211yescharacteristic
61#2806C2212yes—
62#2806C2212yes—
63#2805C2211yescharacteristic
64#2805C2211yescharacteristic
65#2805C2211yescharacteristic
66#2805C2211yescharacteristic
67#2804C2211yescharacteristic
68#2802C2212yes—
69#2799C2212yes—
70#2799C2212yes—
71#2793C2212yes—
72#2792C2212yes—
73#2792C2212yes—
74#2792C2212yes—
75#2791C2212yes—
76#2788C2212yes—
77#2788C2212yes—
78#2777C2212yes—
79#2776C2212yes—
80#2776C2212yes—
81#2775C2212yes—
82#2775C2212yes—
83#2775C2212yes—
84#2774C2212yes—
85#2774C2212yes—
86#2774C2212yes—
87#2774C2212yes—
88#2773C2212yes—
89#2771C2212yes—
90#2770C2212yes—
91#2770C2212yes—
92#2768C2212yes—
93#2766C2212yes—
94#2766C2212yes—
95#2765C2212yes—
96#2762C2212yes—
97#2762C2212yes—
98#2762C2212yes—
99#2759C2212yes—
100#2759C2212yes—
101#2758C2212yes—
102#2758C2212yes—
103#2758C2212yes—
104#2751C2212yes—
105#2751C2212yes—
106#2745C2212yes—
107#2745C2212yes—
108#2739C2212yes—
109#2739C2212yes—
110#2739C2212yes—
111#2739C2212yes—
112#2738C2212yes—
113#2734C2211yescharacteristic
114#2734C2212yes—
115#2734C2211yescharacteristic
116#2732C2211yescharacteristic
117#2729C2212yes—
118#2729C2212yes—
119#2727C2211yescharacteristic
120#2726C2211yescharacteristic
121#2723C2212yes—
122#2722C2212yes—
123#2721C2212yes—
124#2720C2212yes—
125#2716C2212yes—
126#2716C2212yes—
127#2715C2212yes—
128#2715C2212yes—
129#2713C2212yes—
130#2713C2212yes—
131#2713C2212yes—
132#2698C2212yes—
133#2695C2212yes—
134#2692C2212yes—
135#2690C2212yes—
136#2690C2212yes—
137#2689C2212yes—
138#2689C2212yes—
139#2689C2212yes—
140#2689C2212yes—
141#2687C2212yes—
142#2680C2212yes—
143#2677C2212yes—
144#2677C2212yes—
145#2677C2212yes—
146#2674C2212yes—
147#2672C2212yes—
148#2665C2212yes—
149#2665C2212yes—
150#2664C2212yes—
151#2655C2212yes—
152#2655C2212yes—
153#2652C2212yes—
154#2651C2212yes—
155#2650C2212yes—
156#2650C2212yes—
157#2650C2212yes—
158#2650C2212yes—
159#2646C2212yes—
160#2638C2212yes—
161#2638C2212yes—
162#2638C2212yes—
163#2634C2212yes—
164#2614C2212yes—
165#2612C2212yes—
166#2607C2212yes—
167#2604C2212yes—
168#2603C2212yes—
169#2602C2212yes—
170#2601C2212yes—
171#2599C2212yes—
172#2597C2212yes—
173#2597C2212yes—
174#2597C2212yes—
175#2596C2212yes—
176#2596C2212yes—
177#2595C2212yes—
178#2595C2212yes—
179#2594C2212yes—
180#2590C2212yes—
181#2590C2212yes—
182#2590C2212yes—
183#2588C2212yes—
184#2588C2212yes—
185#2588C2212yes—
186#2588C2212yes—
187#2588C2212yes—
188#2587C2212yes—
189#2586C2212yes—
190#2586C2212yes—
191#2586C2212yes—
192#2585C2212yes—
193#2585C2212yes—
194#2585C2212yes—
195#2585C2212yes—
196#2581C2212yes—
197#2578C2212yes—
198#2577C2212yes—
199#2577C2212yes—
200#2577C2212yes—
201#2575C2212yes—
202#2574C2212yes—
203#2573C2212yes—
204#2573C2212yes—
205#2570C2212yes—
206#2568C2212yes—
207#2568C2212yes—
208#2565C2211yescharacteristic
209#2564C2212yes—
210#2562C2211yescharacteristic
211#2560C2212yes—
212#2560C2212yes—
213#2558C2212yes—
214#2556C2212yes—
215#2556C2212yes—
216#2553C2212yes—
217#2551C2212yes—
218#2550C2211yescharacteristic
219#2550C2212yes—
220#2550C2212yes—
221#2549C2212yes—
222#2549C2212yes—
223#2546C2212yes—
224#2536C2211yescharacteristic
225#2533C2212yes—
226#2533C2212yes—
227#2531C2212yes—
228#2530C2212yes—
229#2528C2212yes—
230#2527C2212yes—
231#2527C2212yes—
232#2527C2212yes—
233#2526C2212yes—
234#2526C2212yes—
235#2524C2212yes—
236#2524C2212yes—
237#2523C2212yes—
238#2521C2212yes—
239#2521C2212yes—
240#2520C2212yes—
241#2520C2212yes—
242#2520C2212yes—
243#2520C2212yes—
244#2519C2212yes—
245#2517C2212yes—
246#2515C2212yes—
247#2515C2212yes—
248#2513C2211yescharacteristic
249#2511C2212yes—
250#2509C2212yes—
251#2508C2212yes—
252#2508C2212yes—
253#2506C2212yes—
254#2505C2212yes—
255#2505C2212yes—
256#2499C2212yes—
257#2496C2211yescharacteristic
258#2496C2212yes—
259#2494C2211yescharacteristic
260#2494C2212yes—
261#2493C2212yes—
262#2493C2212yes—
263#2493C2212yes—
264#2493C2212yes—
265#2492C2212yes—
266#2492C2211yescharacteristic
267#2490C2211yescharacteristic
268#2489C2211yescharacteristic
269#2488C2212yes—
270#2485C2211yescharacteristic
271#2484C2212yes—
272#2479C2212yes—
273#2478C2212yes—
274#2478C2212yes—
275#2469C2212yes—
276#2469C2212yes—
277#2468C2212yes—
278#2468C2212yes—
279#2468C2212yes—
280#2466C2212yes—
281#2466C2212yes—
282#2465C2212yes—
283#2465C2212yes—
284#2465C2212yes—
285#2462C2212yes—
286#2461C2212yes—
287#2459C2212yes—
288#2458C2212yes—
289#2455C2212yes—
290#2453C2211yescharacteristic
291#2453C2212yes—
292#2452C2212yes—
293#2451C2212yes—
294#2450C2212yes—
295#2449C2212yes—
296#2447C2212yes—
297#2446C2212yes—
298#2446C2212yes—
299#2438C2212yes—
300#2438C2212yes—
301#2438C2212yes—
302#2434C2212yes—
303#2434C2212yes—
304#2432C2212yes—
305#2429C2212yes—
306#2429C2212yes—
307#2425C2212yes—
308#2423C2212yes—
309#2421C2211yescharacteristic
310#2421C2212yes—
311#2421C2212yes—
312#2419C2212yes—
313#2415C2212yes—
314#2409C2212yes—
315#2407C2211yescharacteristic
316#2402C2212yes—
317#2399C2212yes—
318#2399C2212yes—
319#2399C2212yes—
320#2392C2212yes—
321#2383C2212yes—
322#2383C2212yes—
323#2381C2212yes—
324#2374C2212yes—
325#2373C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2373C2212yes—
329#2371C2212yes—
330#2370C2212yes—
331#2370C2212yes—
332#2369C2212yes—
333#2369C2212yes—
334#2368C2212yes—
335#2368C2212yes—
336#2368C2212yes—
337#2367C2212yes—
338#2365C2212yes—
339#2365C2211yescharacteristic
340#2365C2212yes—
341#2362C2212yes—
342#2362C2212yes—
343#2360C2211yescharacteristic
344#2360C2211yescharacteristic
345#2360C2212yes—
346#2359C2212yes—
347#2357C2212yes—
348#2355C2211yescharacteristic
349#2349C2212yes—
350D4×C4⋊C4C2211yescharacteristic
351#2347C2211yescharacteristic
352#2341C2211yescharacteristic
353Q8×C22⋊C4C2211yescharacteristic
354Q8×C22⋊C4C2211yescharacteristic
355#2339C2212yes—
356#2337C2212yes—
357#2336C2212yes—
358#2336C2212yes—
359#2335C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2334C2212yes—
364#2334C2212yes—
365#2332C2212yes—
366#2332C2212yes—
367#2331C2212yes—
368#2331C2212yes—
369#2331C2212yes—
370#2329C2212yes—
371#2329C2212yes—
372#2329C2212yes—
373#2329C2212yes—
374#2323C2212yes—
375#2322C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×C4⋊Q8C2212yes—
378C4×#125C2211yescharacteristic
379C4×#126C2212yes—
380C4×#126C2212yes—
381C4×#124C2212yes—
382C4×C22⋊Q8C2211yescharacteristic
383C4×C22⋊Q8C2211yescharacteristic
384C4×C22⋊Q8C2211yescharacteristic
385#2297C2211yescharacteristic
386#2295C2211yescharacteristic
387#2295C2211yescharacteristic
388#2295C2211yescharacteristic
389#2295C2212yes—
390#2295C2212yes—
391C2×#391C2211yescharacteristic
392C2×#391C2211yescharacteristic
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398#563—216no—
399D4×Q8—28no—
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#125C2311yescharacteristic
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2311yescharacteristic
421C2×#125C2311yescharacteristic
422C2×#125C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×#117C2311yescharacteristic
467C2×#117C2312yes—
468C2×#117C2312yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2311yescharacteristic
471C22×C42C2311yescharacteristic
472C22×C42C2311yescharacteristic
473#401C2312yes—
474#401C2312yes—
475#401C2312yes—
476#401C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
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#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
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#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#392C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2311yescharacteristic
666#391C2311yescharacteristic
667#391C2311yescharacteristic
668#391C2311yescharacteristic
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2311yescharacteristic
680#391C2312yes—
681#391C2312yes—
682#391C2311yescharacteristic
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2311yescharacteristic
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2311yescharacteristic
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2311yescharacteristic
704#391C2311yescharacteristic
705#391C2312yes—
706#391C2311yescharacteristic
707#391C2312yes—
708#391C2311yescharacteristic
709#391C2312yes—
710#391C2311yescharacteristic
711#391C2312yes—
712#391C2311yescharacteristic
713#391C2311yescharacteristic
714#390C2311yescharacteristic
715#390C2312yes—
716#390C2312yes—
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2311yescharacteristic
720#390C2311yescharacteristic
721#390C2312yes—
722#390C2311yescharacteristic
723#389C2311yescharacteristic
724#389C2311yescharacteristic
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2311yescharacteristic
746#389C2311yescharacteristic
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2311yescharacteristic
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2311yescharacteristic
772#389C2311yescharacteristic
773#389C2311yescharacteristic
774#389C2312yes—
775#389C2311yescharacteristic
776#389C2311yescharacteristic
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2311yescharacteristic
786#389C2311yescharacteristic
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#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#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
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#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#384C2311yescharacteristic
1006#384C2312yes—
1007#384C2311yescharacteristic
1008#384C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
1015#383C2312yes—
1016#383C2312yes—
1017#382C2311yescharacteristic
1018#382C2311yescharacteristic
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2311yescharacteristic
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#380C2311yescharacteristic
1040#380C2311yescharacteristic
1041#380C2311yescharacteristic
1042#380C2311yescharacteristic
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2312yes—
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⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2311yescharacteristic
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2311yescharacteristic
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2311yescharacteristic
1131C4×C22⋊C4C2311yescharacteristic
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C43C2312yes—
1143C43C2311yescharacteristic
1144C2×#41—24no—
1145C2×#41—42no—
1146C2×#41—81no—
1147C22×Q8—24no—
1148C22×Q8—24no—
1149C22×Q8—81no—
1150C22×Q8—81no—
1151C22×Q8—81no—
1152C22×Q8—81no—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2412yes—
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×Q8C2412yes—
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2411yescharacteristic
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C23×C4C2411yescharacteristic
1169C23×C4C2412yes—
1170C23×C4C2411yescharacteristic
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2411yescharacteristic
1174C23×C4C2412yes—
1175C23×C4C2411yescharacteristic
1176C23×C4C2411yescharacteristic
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2411yescharacteristic
1181C4⋊Q8—24no—
1182C4⋊Q8—28no—
1183C4⋊Q8—28no—
1184C4⋊Q8—28no—
1185C4⋊Q8—28no—
1186C4⋊Q8—81no—
1187C4⋊Q8—82no—
1188C4⋊Q8—82no—
1189C4⋊Q8—82no—
1190#126—28no—
1191#126—28no—
1192#126—28no—
1193#126—28no—
1194#126—28no—
1195#126—44no—
1196#126—44no—
1197#126—82no—
1198#125—28no—
1199#125—28no—
1200#125—24no—
1201#125—81no—
1202#125—81no—
1203#125—82no—
1204#124—28no—
1205#124—44no—
1206#123—28no—
1207#123—28no—
1208#123—82no—
1209#123—82no—
1210C22⋊Q8—28no—
1211C22⋊Q8—24no—
1212C22⋊Q8—28no—
1213C22⋊Q8—28no—
1214C22⋊Q8—24no—
1215C22⋊Q8—28no—
1216C22⋊Q8—28no—
1217C22⋊Q8—44no—
1218C22⋊Q8—82no—
1219C22⋊Q8—81no—
1220C22⋊Q8—82no—
1221C22⋊Q8—82no—
1222C22⋊Q8—82no—
1223C22⋊Q8—82no—
1224C22⋊Q8—81no—
1225C22⋊Q8#4118yescomplemented
1226#121—81no—
1227C4×Q8—24no—
1228C4×Q8—24no—
1229C4×Q8—24no—
1230C4×Q8—81no—
1231C4×Q8—81no—
1232C4×Q8—81no—
1233C4×Q8—82no—
1234C4×Q8—82no—
1235C4×Q8—81no—
1236C4×Q8—81no—
1237C4×Q8—82no—
1238C4×Q8—82no—
1239C4×D4—24no—
1240C4×D4—28no—
1241C4×D4—24no—
1242C4×D4—44no—
1243C4×D4—44no—
1244C4×D4—42no—
1245C4×D4—82no—
1246C4×D4—82no—
1247#117—42no—
1248#117—82no—
1249#117—82no—
1250C2×C4⋊C4—81no—
1251C2×C4⋊C4—81no—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2411yescharacteristic
1359C2×C22⋊C4C2411yescharacteristic
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2411yescharacteristic
1363C2×C22⋊C4C2411yescharacteristic
1364C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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—81no—
1406C2×C42—81no—
1407C2×C42C2411yescharacteristic
1408C2×C42C2412yes—
1409C2×C42C2411yescharacteristic
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2411yescharacteristic
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2411yescharacteristic
1436C2×C42C2411yescharacteristic
1437C2×C42C2411yescharacteristic
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440C2×C42C2411yescharacteristic
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2411yescharacteristic
1444C2×C42C2411yescharacteristic
1445C2×C42C2412yes—
1446C2×C42C2411yescharacteristic
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1488#95C2411yescharacteristic
1489#95C2411yescharacteristic
1490#95C2412yes—
1491#95C2411yescharacteristic
1492#95C2411yescharacteristic
1493#95C2411yescharacteristic
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—
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—
1581C24C2512yes—
1582C24C2511yescharacteristic
1583C24C2511yescharacteristic
1584#41—88no—
1585C2×Q8—22no—
1586C2×Q8—22no—
1587C2×Q8—24no—
1588C2×Q8—24no—
1589C2×Q8—24no—
1590C2×Q8—24no—
1591C2×Q8—22no—
1592C2×Q8—24no—
1593C2×Q8—41no—
1594C2×Q8—41no—
1595C2×Q8—41no—
1596C2×Q8—41no—
1597C2×Q8—41no—
1598C2×Q8—41no—
1599C2×Q8—41no—
1600C2×Q8—41no—
1601C2×Q8—42no—
1602C2×Q8—42no—
1603C2×Q8—42no—
1604C2×Q8—42no—
1605C2×Q8—42no—
1606C2×Q8—41no—
1607C2×Q8—42no—
1608C2×Q8—42no—
1609C2×Q8—42no—
1610C2×Q8—42no—
1611C2×Q8—42no—
1612C2×Q8—42no—
1613C2×Q8—42no—
1614C2×Q8—41no—
1615C2×Q8—42no—
1616C2×Q8—88no—
1617C2×Q8—88no—
1618C2×Q8C2×#4114yes—
1619C2×Q82−1+414yes—
1620C2×D4—22no—
1621C2×D4—22no—
1622C2×D4—24no—
1623C2×D4—24no—
1624C2×D4—22no—
1625C2×D4—24no—
1626C2×D4—22no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—41no—
1631C2×D4—41no—
1632C22×C4—22no—
1633C22×C4—24no—
1634C22×C4—24no—
1635C22×C4—22no—
1636C22×C4—22no—
1637C22×C4—24no—
1638C22×C4—24no—
1639C22×C4—22no—
1640C22×C4—22no—
1641C22×C4—22no—
1642C22×C4—24no—
1643C22×C4—41no—
1644C22×C4—41no—
1645C22×C4—41no—
1646C22×C4—41no—
1647C22×C4—41no—
1648C22×C4—41no—
1649C22×C4—41no—
1650C22×C4—41no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—41no—
1661C22×C4—41no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4C2×#4114yes—
1671C22×C4C2511yescharacteristic
1672C22×C4C2511yescharacteristic
1673C22×C4C2511yescharacteristic
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2511yescharacteristic
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2511yescharacteristic
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C22×C4C2511yescharacteristic
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2511yescharacteristic
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2511yescharacteristic
1704C22×C4C2511yescharacteristic
1705C22×C4C2511yescharacteristic
1706C22×C4C2511yescharacteristic
1707C4⋊C4—24no—
1708C4⋊C4—22no—
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—22no—
1726C4⋊C4—24no—
1727C4⋊C4—22no—
1728C4⋊C4—22no—
1729C4⋊C4—24no—
1730C4⋊C4—22no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—22no—
1735C4⋊C4—22no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—41no—
1744C4⋊C4—42no—
1745C4⋊C4—41no—
1746C4⋊C4—41no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—41no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—41no—
1756C4⋊C4—41no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—41no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
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—41no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—41no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—41no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—41no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—41no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
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⋊C4C2×#4114yes—
1810C4⋊C4C2×#4118yes—
1811C22⋊C4—22no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—22no—
1819C22⋊C4—24no—
1820C22⋊C4—22no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—22no—
1828C22⋊C4—22no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—41no—
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⋊C4—42no—
1859C22⋊C4C2×#4118yes—
1860C42—22no—
1861C42—24no—
1862C42—24no—
1863C42—24no—
1864C42—24no—
1865C42—24no—
1866C42—22no—
1867C42—24no—
1868C42—24no—
1869C42—41no—
1870C42—41no—
1871C42—41no—
1872C42—41no—
1873C42—41no—
1874C42—41no—
1875C42—41no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—41no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—41no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—41no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C422−1+414yes—
1904C23—21no—
1905C23—21no—
1906C23—21no—
1907C23—21no—
1908C23—21no—
1909C23—21no—
1910C23—21no—
1911C23—21no—
1912C23—21no—
1913C23—21no—
1914C23—21no—
1915C23—21no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23C22×#4112yes—
1924C23#58512yes—
1925C23C2611yescharacteristic
1926Q8—44no—
1927Q8—44no—
1928Q8—44no—
1929Q8—44no—
1930Q8—84no—
1931Q8—84no—
1932Q8—82no—
1933Q8—84no—
1934Q8—84no—
1935Q8—84no—
1936Q8—84no—
1937D4—28no—
1938D4—48no—
1939D4—82no—
1940D4—84no—
1941C2×C4—21no—
1942C2×C4—21no—
1943C2×C4—22no—
1944C2×C4—21no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—21no—
1959C2×C4—21no—
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—21no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—21no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—21no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—21no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—21no—
2001C2×C4—21no—
2002C2×C4—21no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—21no—
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—21no—
2015C2×C4—21no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—21no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—21no—
2029C2×C4—21no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—21no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—21no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—44no—
2041C2×C4—44no—
2042C2×C4—44no—
2043C2×C4—84no—
2044C2×C4—82no—
2045C2×C4—82no—
2046C2×C4—82no—
2047C2×C4—84no—
2048C2×C4—84no—
2049C2×C4—84no—
2050C2×C4—84no—
2051C2×C4—162no—
2052C2×C4—162no—
2053C2×C4C22×#4114yes—
2054C2×C4C22×#4112yes—
2055C2×C4C22×#4114yes—
2056C2×C4C22×#4112yes—
2057C2×C4C2×2−1+412yes—
2058C2×C4C2×2−1+414yes—
2059C2×C4C2×2−1+412yes—
2060C2×C4C2×2−1+412yes—
2061C2×C4C2×2−1+412yes—
2062C22—22no—
2063C22—22no—
2064C22—22no—
2065C22—22no—
2066C22—22no—
2067C22—22no—
2068C22—41no—
2069C22—41no—
2070C22—41no—
2071C22—41no—
2072C22—41no—
2073C22—41no—
2074C22—41no—
2075C22—41no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22C23×#4111yescharacteristic
2084C22C22×2−1+411yescharacteristic
2085C22C22×2−1+411yescharacteristic
2086C22C2×#58511yescharacteristic
2087C22H(7,𝔽2)11yescharacteristic
2088C22H(7,𝔽2)11yescharacteristic
2089C222−1+611yescharacteristic
2090C4—24no—
2091C4—22no—
2092C4—22no—
2093C4—22no—
2094C4—24no—
2095C4—22no—
2096C4—22no—
2097C4—24no—
2098C4—22no—
2099C4—41no—
2100C4—42no—
2101C4—42no—
2102C4—42no—
2103C4—42no—
2104C4—41no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—41no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—41no—
2118C4—41no—
2119C4—42no—
2120C4—41no—
2121C4—41no—
2122C4—42no—
2123C4—42no—
2124C4—42no—
2125C4—42no—
2126C2—42no—
2127C2—42no—
2128C2—82no—
2129C2#6278811yescharacteristic
2130C2#6284611yescharacteristic
2131C2#6287911yescharacteristic
2132C2#6290311yescharacteristic
2133C2#6294311yescharacteristic
2134C2#6300111yescharacteristic
2135C2#6305911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2407C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59927C2semidirect
2. #59486C2semidirect
3. #52287C2semidirect
4. #50632C2semidirect
5. #49527C2semidirect
6. #49031C2semidirect
7. #48697C2semidirect
8. #48631C2semidirect
9. #47945C2semidirect
10. #47346C2semidirect
11. #46986C2semidirect
12. #46205C2semidirect
13. #45787C2semidirect
14. #44954C2semidirect
15. #44317C2semidirect
16. #43486C2semidirect
17. #43445C2semidirect
19. #41542C2semidirect
20. #41303C2semidirect
21. #41106C2semidirect
22. #41055C2semidirect
23. #40274C2semidirect
24. #40190C2semidirect
25. #39831C2semidirect
26. #39711C2semidirect
27. #39640C2semidirect
28. #38794C2semidirect
29. #38782C2semidirect
30. #38493C2semidirect
31. #38444C2semidirect
32. #37168C2semidirect
33. #37140C2semidirect
35. #35812C2semidirect
36. #35471C2semidirect
37. #35110C2semidirect
38. #34525C2semidirect
39. #34334C2semidirect
1225. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599272
#594862
#522872
#506322
#495272
#490312
#486972
#486312
#479452
#473462
#469862
#462052
#457872
#449542
#443172
#434862
#434452
#434062
#415422
#413032
#411062
#410552
#402742
#401902
#398312
#397112
#396402
#387942
#387822
#384932
#384442
#371682
#371402
#364012
#358122
#354712
#351102
#345252
#343342