Finite Group Databasebeta

← #7695670

Subgroups — #7695670

Order 512.

4768 conjugacy classes of subgroups.

The subgroup lattice has 2253 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60044C211yesmaximal, characteristic, complemented
2#59886C211yesmaximal, characteristic, complemented
3#59880C211yesmaximal, characteristic, complemented
4#59787C212yesmaximal, complemented
5#59691C212yesmaximal, complemented
6#59686C212yesmaximal, complemented
7#52281C211yesmaximal, characteristic, complemented
8#52278C211yesmaximal, characteristic, complemented
9#52274C211yesmaximal, characteristic, complemented
10#44673C212yesmaximal, complemented
11#44650C212yesmaximal, complemented
12#44594C212yesmaximal, complemented
13#44457C212yesmaximal, complemented
14#44171C212yesmaximal, complemented
15#44164C212yesmaximal, complemented
16#43995C212yesmaximal, complemented
17#43370C212yesmaximal, complemented
18#43339C212yesmaximal, complemented
19#40370C212yesmaximal, complemented
20#39950C212yesmaximal, complemented
21#39828C211yesmaximal, characteristic, complemented
22#39778C212yesmaximal, complemented
23#39454C211yesmaximal, characteristic, complemented
24#38783C211yesmaximal, characteristic, complemented
25#38780C211yesmaximal, characteristic, complemented
26#38705C212yesmaximal, complemented
27#38544C212yesmaximal, complemented
28#38484C211yesmaximal, characteristic, complemented
29#38434C211yesmaximal, characteristic, complemented
30#38342C212yesmaximal, complemented
31#36401C211yesmaximal, characteristic, complemented
32#36355C212yesmaximal, complemented
33#36036C212yesmaximal, complemented
34#35969C212yesmaximal, complemented
35#35744C212yesmaximal, complemented
36#34327C211yesmaximal, characteristic, complemented
37#34321C211yesmaximal, characteristic, complemented
38#34297C212yesmaximal, complemented
39#34280C212yesmaximal, complemented
40C2×#555C2211yescharacteristic
41C2×#552C2212yes—
42C2×#548C2211yescharacteristic
43C2×#540C2212yes—
44#2866C2212yes—
45#2861C2212yes—
46#2860C2211yescharacteristic
47#2854C2211yescharacteristic
48#2852C2212yes—
49#2851C2211yescharacteristic
50#2809C2211yescharacteristic
51#2808C2211yescharacteristic
52#2808C2211yescharacteristic
53#2806C2211yescharacteristic
54#2805C2211yescharacteristic
55#2805C2211yescharacteristic
56#2805C2211yescharacteristic
57#2804C2211yescharacteristic
58#2802C2212yes—
59#2799C2212yes—
60#2798C2212yes—
61#2797C2212yes—
62#2797C2212yes—
63#2795C2212yes—
64#2791C2212yes—
65#2787C2212yes—
66#2786C2212yes—
67#2786C2212yes—
68#2786C2212yes—
69#2779C2212yes—
70#2778C2212yes—
71#2777C2212yes—
72#2776C2212yes—
73#2774C2212yes—
74#2774C2212yes—
75#2773C2212yes—
76#2772C2212yes—
77#2770C2212yes—
78#2758C2212yes—
79#2757C2212yes—
80#2756C2212yes—
81#2755C2212yes—
82#2753C2212yes—
83#2752C2212yes—
84#2747C2212yes—
85#2746C2212yes—
86#2745C2212yes—
87#2745C2212yes—
88#2744C2212yes—
89#2743C2212yes—
90#2732C2211yescharacteristic
91#2732C2211yescharacteristic
92#2728C2212yes—
93#2727C2211yescharacteristic
94#2726C2211yescharacteristic
95#2726C2211yescharacteristic
96#2723C2212yes—
97#2720C2212yes—
98#2720C2212yes—
99#2717C2212yes—
100#2713C2212yes—
101#2711C2212yes—
102#2711C2212yes—
103#2708C2212yes—
104#2707C2212yes—
105#2696C2212yes—
106#2696C2212yes—
107#2690C2212yes—
108#2689C2212yes—
109#2688C2212yes—
110#2688C2212yes—
111#2688C2212yes—
112#2686C2212yes—
113#2682C2211yescharacteristic
114#2682C2211yescharacteristic
115#2682C2211yescharacteristic
116#2674C2212yes—
117#2673C2212yes—
118#2673C2212yes—
119#2671C2212yes—
120#2664C2212yes—
121#2662C2212yes—
122#2662C2212yes—
123#2655C2212yes—
124#2651C2212yes—
125#2650C2212yes—
126#2648C2212yes—
127#2630C2212yes—
128#2630C2212yes—
129#2611C2212yes—
130#2611C2212yes—
131#2610C2212yes—
132#2610C2212yes—
133#2609C2212yes—
134#2608C2212yes—
135#2605C2212yes—
136#2603C2212yes—
137#2603C2212yes—
138#2603C2212yes—
139#2603C2212yes—
140#2602C2212yes—
141#2601C2212yes—
142#2601C2212yes—
143#2600C2212yes—
144#2599C2212yes—
145#2597C2212yes—
146#2597C2212yes—
147#2597C2212yes—
148#2596C2212yes—
149#2595C2212yes—
150#2595C2212yes—
151#2595C2212yes—
152#2595C2212yes—
153#2595C2212yes—
154#2595C2212yes—
155#2595C2212yes—
156#2595C2212yes—
157#2595C2212yes—
158#2589C2212yes—
159#2588C2212yes—
160#2579C2212yes—
161#2578C2212yes—
162#2578C2212yes—
163#2577C2212yes—
164#2574C2212yes—
165#2574C2212yes—
166#2573C2212yes—
167#2572C2212yes—
168#2569C2212yes—
169#2569C2212yes—
170#2564C2212yes—
171#2562C2212yes—
172#2560C2212yes—
173#2559C2212yes—
174#2558C2212yes—
175#2557C2212yes—
176#2555C2212yes—
177#2554C2212yes—
178#2554C2212yes—
179#2553C2212yes—
180#2553C2212yes—
181#2549C2212yes—
182#2544C2212yes—
183#2543C2212yes—
184#2540C2212yes—
185#2532C2212yes—
186#2531C2212yes—
187#2530C2212yes—
188#2530C2212yes—
189#2529C2212yes—
190#2528C2212yes—
191#2525C2212yes—
192#2525C2212yes—
193#2525C2212yes—
194#2524C2212yes—
195#2523C2212yes—
196#2523C2212yes—
197#2522C2212yes—
198#2522C2212yes—
199#2521C2212yes—
200#2520C2212yes—
201#2518C2212yes—
202#2516C2212yes—
203#2515C2212yes—
204#2513C2212yes—
205#2513C2211yescharacteristic
206#2510C2212yes—
207#2510C2212yes—
208#2506C2212yes—
209#2505C2212yes—
210#2499C2212yes—
211#2498C2212yes—
212#2498C2212yes—
213#2494C2212yes—
214#2493C2212yes—
215#2490C2211yescharacteristic
216#2490C2212yes—
217#2485C2211yescharacteristic
218#2481C2212yes—
219#2481C2212yes—
220#2478C2212yes—
221#2477C2212yes—
222#2476C2212yes—
223#2476C2212yes—
224#2476C2212yes—
225#2475C2212yes—
226#2475C2212yes—
227#2475C2212yes—
228#2474C2212yes—
229#2473C2212yes—
230#2471C2212yes—
231#2471C2212yes—
232#2470C2212yes—
233#2470C2212yes—
234#2470C2212yes—
235#2469C2212yes—
236#2468C2212yes—
237#2467C2212yes—
238#2465C2212yes—
239#2465C2212yes—
240#2464C2212yes—
241#2464C2212yes—
242#2462C2212yes—
243#2461C2212yes—
244#2460C2212yes—
245#2460C2212yes—
246#2459C2212yes—
247#2458C2212yes—
248#2457C2212yes—
249#2453C2211yescharacteristic
250#2450C2212yes—
251#2450C2212yes—
252#2447C2212yes—
253#2444C2212yes—
254#2444C2212yes—
255#2444C2212yes—
256#2444C2212yes—
257#2443C2212yes—
258#2443C2212yes—
259#2430C2212yes—
260#2428C2212yes—
261#2427C2212yes—
262#2426C2212yes—
263#2425C2212yes—
264#2425C2212yes—
265#2425C2212yes—
266#2421C2211yescharacteristic
267#2417C2212yes—
268#2416C2212yes—
269#2415C2212yes—
270#2414C2212yes—
271#2409C2212yes—
272#2409C2212yes—
273#2407C2212yes—
274#2407C2212yes—
275#2407C2211yescharacteristic
276#2402C2212yes—
277#2402C2212yes—
278#2401C2212yes—
279#2399C2212yes—
280#2398C2212yes—
281#2396C2212yes—
282#2395C2212yes—
283#2395C2212yes—
284#2388C2212yes—
285#2374C2212yes—
286#2374C2212yes—
287#2374C2212yes—
288#2374C2212yes—
289#2374C2212yes—
290#2373C2212yes—
291#2373C2212yes—
292#2373C2212yes—
293#2372C2212yes—
294#2371C2212yes—
295#2371C2212yes—
296#2370C2212yes—
297#2369C2211yescharacteristic
298#2368C2212yes—
299#2368C2212yes—
300#2368C2212yes—
301#2367C2212yes—
302#2367C2212yes—
303#2367C2211yescharacteristic
304#2364C2212yes—
305#2364C2212yes—
306#2364C2212yes—
307#2364C2212yes—
308#2364C2212yes—
309#2363C2211yescharacteristic
310#2363C2211yescharacteristic
311#2363C2212yes—
312#2363C2212yes—
313#2363C2212yes—
314#2363C2212yes—
315#2362C2211yescharacteristic
316#2361C2212yes—
317#2361C2211yescharacteristic
318#2359C2212yes—
319#2359C2212yes—
320#2359C2212yes—
321#2359C2212yes—
322#2359C2212yes—
323#2359C2212yes—
324#2359C2212yes—
325#2356C2211yescharacteristic
326#2354C2211yescharacteristic
327#2353C2212yes—
328#2353C2212yes—
329#2352C2211yescharacteristic
330#2349C2212yes—
331D4×C4⋊C4C2211yescharacteristic
332#2347C2211yescharacteristic
333#2347C2211yescharacteristic
334#2347C2212yes—
335#2347C2211yescharacteristic
336#2344C2212yes—
337#2343C2212yes—
338#2343C2212yes—
339#2343C2212yes—
340#2341C2211yescharacteristic
341Q8×C22⋊C4C2211yescharacteristic
342#2339C2211yescharacteristic
343#2337C2212yes—
344#2337C2212yes—
345#2337C2212yes—
346#2336C2212yes—
347#2336C2212yes—
348#2334C2212yes—
349#2332C2212yes—
350#2332C2212yes—
351#2330C2212yes—
352#2329C2212yes—
353#2328C2212yes—
354#2325C2212yes—
355#2324C2212yes—
356#2324C2212yes—
357#2324C2212yes—
358#2322C2212yes—
359#2314C2212yes—
360C4×C4⋊Q8C2211yescharacteristic
361C4×#127C2212yes—
362C4×#125C2212yes—
363C4×#125C2212yes—
364C4×#126C2212yes—
365C4×#126C2212yes—
366C4×#124C2211yescharacteristic
367C4×C22⋊Q8C2211yescharacteristic
368C4×C22⋊Q8C2211yescharacteristic
369C4×#123C2212yes—
370C4×#121C2211yescharacteristic
371C4×#121C2211yescharacteristic
372C4×#121C2211yescharacteristic
373C4×#121C2212yes—
374C4×#121C2212yes—
375#2298C2212yes—
376#2297C2211yescharacteristic
377#2297C2211yescharacteristic
378#2296C2211yescharacteristic
379#2296C2211yescharacteristic
380#2295C2212yes—
381#2295C2212yes—
382#2295C2211yescharacteristic
383#2295C2211yescharacteristic
384C2×#391C2211yescharacteristic
385#2293C2211yescharacteristic
386#2293C2212yes—
387#2293C2212yes—
388#2290C2212yes—
389C2×#387C2212yes—
390#2275C2212yes—
391#2275C2212yes—
392#2274C2212yes—
393C42×D4C2211yescharacteristic
394C4×#117C2212yes—
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398#555—28no—
399#552—216no—
400#548—28no—
401#540—216no—
402C2×C4⋊Q8C2311yescharacteristic
403C2×#127C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2311yescharacteristic
414C2×#125C2312yes—
415C2×#124C2312yes—
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#124C2311yescharacteristic
419C2×#124C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2311yescharacteristic
494C2×#117C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C42C2312yes—
499C22×C42C2311yescharacteristic
500C22×C42C2311yescharacteristic
501#401C2312yes—
502#401C2312yes—
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#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
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#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
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#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#392C2312yes—
648#392C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2311yescharacteristic
660#391C2311yescharacteristic
661#391C2311yescharacteristic
662#391C2311yescharacteristic
663#391C2312yes—
664#391C2311yescharacteristic
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2311yescharacteristic
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2311yescharacteristic
677#391C2311yescharacteristic
678#391C2311yescharacteristic
679#390C2311yescharacteristic
680#390C2312yes—
681#390C2312yes—
682#390C2312yes—
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2311yescharacteristic
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2311yescharacteristic
700#390C2311yescharacteristic
701#390C2312yes—
702#390C2311yescharacteristic
703#390C2311yescharacteristic
704#390C2311yescharacteristic
705#390C2312yes—
706#390C2311yescharacteristic
707#390C2311yescharacteristic
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2311yescharacteristic
714#389C2311yescharacteristic
715#389C2311yescharacteristic
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2311yescharacteristic
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2311yescharacteristic
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2311yescharacteristic
731#389C2311yescharacteristic
732#389C2312yes—
733#389C2311yescharacteristic
734#389C2311yescharacteristic
735#389C2311yescharacteristic
736#389C2311yescharacteristic
737#389C2312yes—
738#389C2311yescharacteristic
739#389C2312yes—
740#389C2311yescharacteristic
741#389C2311yescharacteristic
742#389C2311yescharacteristic
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2311yescharacteristic
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#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#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#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
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#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
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#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#384C2312yes—
998#384C2311yescharacteristic
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2311yescharacteristic
1011#382C2311yescharacteristic
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2311yescharacteristic
1024#380C2311yescharacteristic
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2311yescharacteristic
1034#380C2311yescharacteristic
1035#380C2311yescharacteristic
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2311yescharacteristic
1039C4×C4⋊C4C2311yescharacteristic
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2311yescharacteristic
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2311yescharacteristic
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2311yescharacteristic
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2311yescharacteristic
1108C4×C22⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128#376C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2312yes—
1144C43C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—24no—
1147C2×#41—42no—
1148C2×#41—42no—
1149C2×#41—81no—
1150C2×#41—81no—
1151C2×#41—81no—
1152C22×Q8—24no—
1153C22×Q8—81no—
1154C22×Q8—81no—
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×D4C2411yescharacteristic
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2411yescharacteristic
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2411yescharacteristic
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2411yescharacteristic
1175C22×D4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2411yescharacteristic
1182C23×C4C2411yescharacteristic
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2411yescharacteristic
1188C23×C4C2411yescharacteristic
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2411yescharacteristic
1197C4⋊Q8—24no—
1198#127—28no—
1199#126—28no—
1200#126—28no—
1201#126—44no—
1202#126—44no—
1203#126—82no—
1204#125—28no—
1205#125—28no—
1206#125—28no—
1207#125—28no—
1208#125—81no—
1209#125—82no—
1210#124—28no—
1211#124—28no—
1212#124—24no—
1213#124—28no—
1214#124—82no—
1215#123—28no—
1216#123—28no—
1217#123—28no—
1218#123—28no—
1219#123—28no—
1220#123—28no—
1221#123—44no—
1222#123—44no—
1223#123—82no—
1224C22⋊Q8—28no—
1225C22⋊Q8—28no—
1226C22⋊Q8—28no—
1227C22⋊Q8—24no—
1228C22⋊Q8—42no—
1229C22⋊Q8—82no—
1230C22⋊Q8—82no—
1231C22⋊Q8—82no—
1232#121—28no—
1233#121—28no—
1234#121—28no—
1235#121—28no—
1236#121—24no—
1237#121—28no—
1238#121—28no—
1239#121—24no—
1240#121—28no—
1241#121—44no—
1242#121—82no—
1243#121—82no—
1244#121—81no—
1245#121—82no—
1246#121#4118yescomplemented
1247C4×Q8—44no—
1248C4×Q8—42no—
1249C4×Q8—81no—
1250C4×Q8—81no—
1251C4×Q8—81no—
1252C4×Q8#4118yescomplemented
1253C4×D4—24no—
1254C4×D4—28no—
1255C4×D4—24no—
1256C4×D4—28no—
1257C4×D4—24no—
1258C4×D4—28no—
1259C4×D4—28no—
1260C4×D4—44no—
1261C4×D4—44no—
1262C4×D4—42no—
1263C4×D4—44no—
1264C4×D4—44no—
1265C4×D4—81no—
1266C4×D4—81no—
1267C4×D4—81no—
1268C4×D4—82no—
1269C4×D4—82no—
1270C4×D4—82no—
1271C4×D4—82no—
1272C4×D4—82no—
1273C4×D4—81no—
1274C4×D4—82no—
1275C4×D4—82no—
1276#117—24no—
1277#117—28no—
1278#117—24no—
1279#117—28no—
1280#117—28no—
1281#117—28no—
1282#117—28no—
1283#117—42no—
1284#117—81no—
1285#117—82no—
1286#117—81no—
1287#117—82no—
1288#117—82no—
1289#117—81no—
1290C2×C4⋊C4—28no—
1291C2×C4⋊C4—44no—
1292C2×C4⋊C4—81no—
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1374C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1385C2×C22⋊C4C2411yescharacteristic
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2411yescharacteristic
1392C2×C22⋊C4C2411yescharacteristic
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2411yescharacteristic
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C42—44no—
1457C2×C42—81no—
1458C2×C42—81no—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2411yescharacteristic
1467C2×C42C2412yes—
1468C2×C42C2411yescharacteristic
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2411yescharacteristic
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2411yescharacteristic
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2411yescharacteristic
1497C2×C42C2412yes—
1498C2×C42C2411yescharacteristic
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2411yescharacteristic
1502C2×C42C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2411yescharacteristic
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2411yescharacteristic
1533#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#95C2411yescharacteristic
1554#95C2412yes—
1555#95C2411yescharacteristic
1556#95C2411yescharacteristic
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—
1609C24C2512yes—
1610C24C2511yescharacteristic
1611C24C2512yes—
1612C24C2512yes—
1613C24C2511yescharacteristic
1614#41—88no—
1615#41—88no—
1616C2×Q8—22no—
1617C2×Q8—24no—
1618C2×Q8—24no—
1619C2×Q8—22no—
1620C2×Q8—41no—
1621C2×Q8—41no—
1622C2×Q8—41no—
1623C2×Q8—41no—
1624C2×Q8—41no—
1625C2×Q8—41no—
1626C2×Q8—42no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—88no—
1631C2×Q8C2×#4114yes—
1632C2×D4—22no—
1633C2×D4—24no—
1634C2×D4—24no—
1635C2×D4—24no—
1636C2×D4—24no—
1637C2×D4—24no—
1638C2×D4—24no—
1639C2×D4—24no—
1640C2×D4—22no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—22no—
1644C2×D4—24no—
1645C2×D4—24no—
1646C2×D4—22no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—41no—
1651C2×D4—41no—
1652C2×D4—42no—
1653C2×D4—41no—
1654C2×D4—41no—
1655C2×D4—41no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—41no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—41no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4C2×#4114yes—
1679C2×D4C2×#4118yes—
1680C22×C4—24no—
1681C22×C4—24no—
1682C22×C4—24no—
1683C22×C4—24no—
1684C22×C4—24no—
1685C22×C4—22no—
1686C22×C4—22no—
1687C22×C4—22no—
1688C22×C4—22no—
1689C22×C4—22no—
1690C22×C4—24no—
1691C22×C4—24no—
1692C22×C4—24no—
1693C22×C4—24no—
1694C22×C4—24no—
1695C22×C4—24no—
1696C22×C4—24no—
1697C22×C4—22no—
1698C22×C4—24no—
1699C22×C4—42no—
1700C22×C4—41no—
1701C22×C4—41no—
1702C22×C4—41no—
1703C22×C4—41no—
1704C22×C4—41no—
1705C22×C4—42no—
1706C22×C4—41no—
1707C22×C4—41no—
1708C22×C4—41no—
1709C22×C4—41no—
1710C22×C4—42no—
1711C22×C4—41no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—41no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—42no—
1742C22×C4C2×#4114yes—
1743C22×C4C2512yes—
1744C22×C4C2511yescharacteristic
1745C22×C4C2511yescharacteristic
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2511yescharacteristic
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2511yescharacteristic
1753C22×C4C2512yes—
1754C22×C4C2512yes—
1755C22×C4C2511yescharacteristic
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2512yes—
1760C22×C4C2511yescharacteristic
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2511yescharacteristic
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C22×C4C2511yescharacteristic
1774C22×C4C2511yescharacteristic
1775C22×C4C2511yescharacteristic
1776C22×C4C2511yescharacteristic
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—22no—
1781C4⋊C4—22no—
1782C4⋊C4—24no—
1783C4⋊C4—22no—
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—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—22no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—22no—
1808C4⋊C4—22no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—41no—
1812C4⋊C4—41no—
1813C4⋊C4—42no—
1814C4⋊C4—41no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—41no—
1818C4⋊C4—41no—
1819C4⋊C4—41no—
1820C4⋊C4—41no—
1821C4⋊C4—41no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—41no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—41no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—41no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—41no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
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⋊C4C2×#4118yes—
1857C4⋊C4C2×#4114yes—
1858C4⋊C4C2×#4114yes—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—22no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—22no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—22no—
1877C22⋊C4—22no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—22no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
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—42no—
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—41no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4C2×#4118yes—
1940C42—24no—
1941C42—24no—
1942C42—24no—
1943C42—24no—
1944C42—24no—
1945C42—24no—
1946C42—22no—
1947C42—24no—
1948C42—24no—
1949C42—22no—
1950C42—42no—
1951C42—42no—
1952C42—41no—
1953C42—41no—
1954C42—41no—
1955C42—41no—
1956C42—41no—
1957C42—41no—
1958C42—41no—
1959C42—41no—
1960C42—42no—
1961C42—42no—
1962C42—42no—
1963C42—42no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—41no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—41no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42C2×#4114yes—
1983C42C2×#4118yes—
1984C23—22no—
1985C23—21no—
1986C23—22no—
1987C23—21no—
1988C23—21no—
1989C23—22no—
1990C23—22no—
1991C23—22no—
1992C23—21no—
1993C23—21no—
1994C23—22no—
1995C23—21no—
1996C23—22no—
1997C23—21no—
1998C23—21no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—21no—
2005C23—21no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—21no—
2010C23—22no—
2011C23—22no—
2012C23—21no—
2013C23—22no—
2014C23—21no—
2015C23—22no—
2016C23—22no—
2017C23C22×#4112yes—
2018C23C22×#4114yes—
2019C23C2611yescharacteristic
2020Q8—44no—
2021Q8—44no—
2022Q8—44no—
2023Q8—84no—
2024Q8—84no—
2025D4—48no—
2026D4—44no—
2027D4—44no—
2028D4—48no—
2029D4—48no—
2030D4—44no—
2031D4—84no—
2032D4—84no—
2033D4—82no—
2034D4—84no—
2035D4—84no—
2036D4—84no—
2037D4—84no—
2038D4—84no—
2039D4—84no—
2040D4—162no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—22no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—21no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—21no—
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—21no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—22no—
2089C2×C4—21no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—21no—
2099C2×C4—21no—
2100C2×C4—21no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—21no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—21no—
2109C2×C4—21no—
2110C2×C4—21no—
2111C2×C4—22no—
2112C2×C4—21no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—21no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—21no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—21no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—44no—
2134C2×C4—44no—
2135C2×C4—48no—
2136C2×C4—48no—
2137C2×C4—44no—
2138C2×C4—44no—
2139C2×C4—44no—
2140C2×C4—84no—
2141C2×C4—84no—
2142C2×C4—84no—
2143C2×C4—84no—
2144C2×C4—84no—
2145C2×C4—82no—
2146C2×C4—84no—
2147C2×C4—84no—
2148C2×C4—84no—
2149C2×C4—84no—
2150C2×C4—84no—
2151C2×C4—162no—
2152C2×C4—162no—
2153C2×C4—162no—
2154C2×C4C22×#4112yes—
2155C2×C4C22×#4112yes—
2156C2×C4C22×#4114yes—
2157C2×C4C22×#4114yes—
2158C2×C4C22×#4112yes—
2159C2×C4C22×#4112yes—
2160C2×C4C22×#4112yes—
2161C2×C4C22×#4114yes—
2162C2×C4#58512yes—
2163C2×C4#58512yes—
2164C22—24no—
2165C22—22no—
2166C22—22no—
2167C22—24no—
2168C22—24no—
2169C22—22no—
2170C22—42no—
2171C22—41no—
2172C22—42no—
2173C22—41no—
2174C22—41no—
2175C22—42no—
2176C22—42no—
2177C22—41no—
2178C22—42no—
2179C22—42no—
2180C22—41no—
2181C22—42no—
2182C22—42no—
2183C22—41no—
2184C22—42no—
2185C22—41no—
2186C22—42no—
2187C22—41no—
2188C22—42no—
2189C22—42no—
2190C22—41no—
2191C22—42no—
2192C22—42no—
2193C22—41no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22—41no—
2198C22—42no—
2199C22C23×#4111yescharacteristic
2200C22C23×#4111yescharacteristic
2201C22C2×#58511yescharacteristic
2202C22C2×#58511yescharacteristic
2203C22H(7,𝔽2)11yescharacteristic
2204C22H(7,𝔽2)11yescharacteristic
2205C222−1+611yescharacteristic
2206C4—24no—
2207C4—22no—
2208C4—22no—
2209C4—22no—
2210C4—22no—
2211C4—24no—
2212C4—22no—
2213C4—22no—
2214C4—22no—
2215C4—24no—
2216C4—42no—
2217C4—42no—
2218C4—42no—
2219C4—41no—
2220C4—42no—
2221C4—42no—
2222C4—42no—
2223C4—42no—
2224C4—42no—
2225C4—41no—
2226C4—41no—
2227C4—42no—
2228C4—42no—
2229C4—41no—
2230C4—41no—
2231C4—42no—
2232C4—42no—
2233C4—42no—
2234C4—42no—
2235C4—41no—
2236C4—42no—
2237C4—42no—
2238C4—42no—
2239C4—42no—
2240C2—44no—
2241C2—42no—
2242C2—82no—
2243C2—82no—
2244C2—81no—
2245C2#41211yescharacteristic
2246C2#6284711yescharacteristic
2247C2#6285511yescharacteristic
2248C2#6290611yescharacteristic
2249C2#6299211yescharacteristic
2250C2#6300711yescharacteristic
2251C2#6306511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60044C2semidirect
2. #59886C2semidirect
3. #59880C2semidirect
4. #59787C2semidirect
5. #59691C2semidirect
6. #59686C2semidirect
7. #52281C2semidirect
8. #52278C2semidirect
9. #52274C2semidirect
10. #44673C2semidirect
11. #44650C2semidirect
12. #44594C2semidirect
13. #44457C2semidirect
14. #44171C2semidirect
15. #44164C2semidirect
16. #43995C2semidirect
17. #43370C2semidirect
18. #43339C2semidirect
19. #40370C2semidirect
20. #39950C2semidirect
21. #39828C2semidirect
22. #39778C2semidirect
23. #39454C2semidirect
24. #38783C2semidirect
25. #38780C2semidirect
26. #38705C2semidirect
27. #38544C2semidirect
28. #38484C2semidirect
29. #38434C2semidirect
30. #38342C2semidirect
31. #36401C2semidirect
32. #36355C2semidirect
33. #36036C2semidirect
34. #35969C2semidirect
35. #35744C2semidirect
36. #34327C2semidirect
37. #34321C2semidirect
38. #34297C2semidirect
39. #34280C2semidirect
1246. #121#41semidirect
1252. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600442
#598862
#598802
#597872
#596912
#596862
#522812
#522782
#522742
#446732
#446502
#445942
#444572
#441712
#441642
#439952
#433702
#433392
#403702
#399502
#398282
#397782
#394542
#387832
#387802
#387052
#385442
#384842
#384342
#383422
#364012
#363552
#360362
#359692
#357442
#343272
#343212
#342972
#342802