Finite Group Databasebeta

← #7695666

Subgroups — #7695666

Order 512.

5100 conjugacy classes of subgroups.

The subgroup lattice has 2291 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60046C211yesmaximal, characteristic, complemented
2#59891C212yesmaximal, complemented
3#59886C211yesmaximal, characteristic, complemented
4#59880C211yesmaximal, characteristic, complemented
5#59775C212yesmaximal, complemented
6#59704C212yesmaximal, complemented
7#52304C211yesmaximal, characteristic, complemented
8#52278C211yesmaximal, characteristic, complemented
9C2×#2805C211yesmaximal, characteristic, complemented
10#44865C212yesmaximal, complemented
11#44687C212yesmaximal, complemented
12#44674C212yesmaximal, complemented
13#44601C212yesmaximal, complemented
14#44446C212yesmaximal, complemented
15#44193C212yesmaximal, complemented
16#43978C212yesmaximal, complemented
17#43413C212yesmaximal, complemented
18#43154C212yesmaximal, complemented
19#40406C212yesmaximal, complemented
20#40402C212yesmaximal, complemented
21#39815C212yesmaximal, complemented
22#39767C211yesmaximal, characteristic, complemented
23#39359C211yesmaximal, characteristic, complemented
24#38771C211yesmaximal, characteristic, complemented
25#38770C211yesmaximal, characteristic, complemented
26#38763C211yesmaximal, characteristic, complemented
27#38761C211yesmaximal, characteristic, complemented
28#38519C212yesmaximal, complemented
29#38513C212yesmaximal, complemented
30#38087C212yesmaximal, complemented
31#36396C211yesmaximal, characteristic, complemented
32#36225C212yesmaximal, complemented
33#36034C212yesmaximal, complemented
34#35965C212yesmaximal, complemented
35#35740C212yesmaximal, complemented
36#34323C211yesmaximal, characteristic, complemented
37#34314C211yesmaximal, characteristic, complemented
38#34289C212yesmaximal, complemented
39#34267C212yesmaximal, complemented
40C2×#553C2211yescharacteristic
41C2×#553C2211yescharacteristic
42C2×#552C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#547C2212yes—
45C2×#537C2212yes—
46C2×#520C2212yes—
47C2×C4×#41C2212yes—
48#2861C2211yescharacteristic
49#2856C2211yescharacteristic
50#2854C2212yes—
51#2853C2212yes—
52#2852C2212yes—
53#2850C2211yescharacteristic
54#2808C2211yescharacteristic
55#2808C2211yescharacteristic
56#2806C2211yescharacteristic
57#2805C2211yescharacteristic
58#2805C2212yes—
59#2805C2212yes—
60#2805C2212yes—
61#2805C2211yescharacteristic
62#2805C2211yescharacteristic
63#2805C2212yes—
64#2805C2211yescharacteristic
65#2805C2212yes—
66#2805C2212yes—
67#2805C2211yescharacteristic
68#2804C2211yescharacteristic
69#2803C2212yes—
70#2802C2212yes—
71#2800C2212yes—
72#2797C2212yes—
73#2796C2212yes—
74#2796C2212yes—
75#2789C2212yes—
76#2783C2212yes—
77#2782C2212yes—
78#2780C2212yes—
79#2779C2212yes—
80#2779C2212yes—
81#2778C2212yes—
82#2777C2212yes—
83#2766C2212yes—
84#2765C2212yes—
85#2765C2212yes—
86#2763C2212yes—
87#2759C2212yes—
88#2754C2212yes—
89#2753C2212yes—
90#2747C2212yes—
91#2745C2212yes—
92#2742C2212yes—
93#2740C2212yes—
94#2737C2212yes—
95#2737C2212yes—
96#2732C2211yescharacteristic
97#2724C2211yescharacteristic
98#2724C2211yescharacteristic
99#2723C2212yes—
100#2717C2212yes—
101#2716C2212yes—
102#2714C2212yes—
103#2713C2212yes—
104#2711C2212yes—
105#2703C2212yes—
106#2703C2212yes—
107#2703C2212yes—
108#2698C2212yes—
109#2698C2212yes—
110#2696C2212yes—
111#2694C2212yes—
112#2692C2212yes—
113#2690C2212yes—
114#2690C2212yes—
115#2690C2212yes—
116#2688C2212yes—
117#2688C2212yes—
118#2683C2211yescharacteristic
119#2683C2211yescharacteristic
120#2682C2211yescharacteristic
121#2682C2211yescharacteristic
122#2681C2212yes—
123#2681C2212yes—
124#2654C2212yes—
125#2654C2212yes—
126#2650C2212yes—
127#2649C2212yes—
128#2639C2212yes—
129#2638C2212yes—
130#2632C2212yes—
131#2618C2212yes—
132#2618C2212yes—
133#2610C2212yes—
134#2610C2212yes—
135#2605C2212yes—
136#2604C2212yes—
137#2602C2212yes—
138#2602C2212yes—
139#2601C2212yes—
140#2600C2212yes—
141#2599C2212yes—
142#2599C2212yes—
143#2598C2212yes—
144#2597C2212yes—
145#2597C2212yes—
146#2596C2212yes—
147#2595C2212yes—
148#2595C2212yes—
149#2595C2212yes—
150#2595C2212yes—
151#2594C2212yes—
152#2590C2212yes—
153#2589C2212yes—
154#2587C2212yes—
155#2586C2212yes—
156#2583C2212yes—
157#2580C2212yes—
158#2579C2212yes—
159#2577C2212yes—
160#2576C2212yes—
161#2574C2212yes—
162#2574C2212yes—
163#2573C2212yes—
164#2573C2212yes—
165#2573C2212yes—
166#2572C2212yes—
167#2570C2212yes—
168#2569C2212yes—
169#2565C2211yescharacteristic
170#2564C2212yes—
171#2564C2212yes—
172#2560C2212yes—
173#2560C2212yes—
174#2559C2212yes—
175#2559C2212yes—
176#2559C2212yes—
177#2557C2212yes—
178#2557C2212yes—
179#2544C2211yescharacteristic
180#2543C2212yes—
181#2543C2212yes—
182#2543C2212yes—
183#2543C2212yes—
184#2533C2212yes—
185#2533C2212yes—
186#2531C2212yes—
187#2530C2212yes—
188#2528C2212yes—
189#2528C2212yes—
190#2526C2212yes—
191#2525C2212yes—
192#2525C2212yes—
193#2525C2212yes—
194#2525C2212yes—
195#2524C2212yes—
196#2524C2212yes—
197#2523C2212yes—
198#2521C2212yes—
199#2520C2212yes—
200#2520C2212yes—
201#2517C2212yes—
202#2516C2212yes—
203#2516C2212yes—
204#2516C2212yes—
205#2515C2212yes—
206#2513C2212yes—
207#2510C2212yes—
208#2510C2212yes—
209#2510C2212yes—
210#2510C2212yes—
211#2510C2212yes—
212#2504C2211yescharacteristic
213#2504C2212yes—
214#2499C2211yescharacteristic
215#2498C2212yes—
216#2498C2212yes—
217#2493C2212yes—
218#2488C2212yes—
219#2488C2212yes—
220#2481C2212yes—
221#2481C2212yes—
222#2478C2212yes—
223#2477C2212yes—
224#2477C2212yes—
225#2477C2212yes—
226#2476C2212yes—
227#2475C2212yes—
228#2474C2212yes—
229#2474C2212yes—
230#2473C2212yes—
231#2471C2212yes—
232#2471C2212yes—
233#2471C2212yes—
234#2470C2212yes—
235#2470C2212yes—
236#2469C2212yes—
237#2467C2212yes—
238#2466C2212yes—
239#2466C2212yes—
240#2465C2212yes—
241#2465C2212yes—
242#2465C2212yes—
243#2465C2212yes—
244#2462C2212yes—
245#2461C2212yes—
246#2461C2212yes—
247#2461C2212yes—
248#2460C2212yes—
249#2458C2212yes—
250#2458C2212yes—
251#2456C2212yes—
252#2452C2212yes—
253#2450C2212yes—
254#2449C2212yes—
255#2449C2212yes—
256#2445C2212yes—
257#2444C2212yes—
258#2444C2212yes—
259#2444C2212yes—
260#2444C2212yes—
261#2444C2212yes—
262#2444C2212yes—
263#2444C2212yes—
264#2443C2212yes—
265#2443C2212yes—
266#2443C2212yes—
267#2440C2212yes—
268#2438C2212yes—
269#2436C2211yescharacteristic
270#2431C2211yescharacteristic
271#2430C2212yes—
272#2430C2212yes—
273#2430C2212yes—
274#2430C2212yes—
275#2428C2212yes—
276#2416C2212yes—
277#2416C2212yes—
278#2409C2212yes—
279#2406C2212yes—
280#2401C2212yes—
281#2401C2212yes—
282#2401C2212yes—
283#2399C2212yes—
284#2398C2212yes—
285C2×#400C2212yes—
286C2×#400C2212yes—
287#2388C2212yes—
288C2×#395C2212yes—
289#2374C2212yes—
290#2373C2212yes—
291#2373C2212yes—
292#2370C2212yes—
293#2370C2211yescharacteristic
294#2370C2211yescharacteristic
295#2368C2212yes—
296#2365C2212yes—
297#2364C2212yes—
298#2364C2212yes—
299#2364C2212yes—
300#2364C2212yes—
301#2364C2212yes—
302#2364C2212yes—
303#2363C2211yescharacteristic
304#2363C2212yes—
305#2363C2212yes—
306#2362C2211yescharacteristic
307#2362C2212yes—
308#2362C2212yes—
309#2362C2212yes—
310#2361C2212yes—
311#2361C2211yescharacteristic
312#2361C2212yes—
313#2361C2212yes—
314#2361C2212yes—
315#2361C2212yes—
316#2361C2212yes—
317#2360C2211yescharacteristic
318#2360C2212yes—
319#2360C2212yes—
320#2360C2212yes—
321#2359C2212yes—
322#2359C2212yes—
323#2359C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2359C2212yes—
327#2353C2212yes—
328#2353C2212yes—
329#2352C2211yescharacteristic
330#2352C2211yescharacteristic
331#2352C2212yes—
332#2352C2212yes—
333#2351C2211yescharacteristic
334#2349C2211yescharacteristic
335#2349C2212yes—
336#2347C2211yescharacteristic
337#2346C2211yescharacteristic
338#2345C2211yescharacteristic
339#2344C2211yescharacteristic
340#2344C2212yes—
341#2343C2212yes—
342#2343C2212yes—
343#2339C2212yes—
344#2339C2212yes—
345#2336C2212yes—
346#2335C2212yes—
347#2334C2212yes—
348#2334C2212yes—
349#2327C2212yes—
350#2325C2212yes—
351#2325C2212yes—
352#2325C2212yes—
353#2324C2212yes—
354#2324C2212yes—
355#2323C2212yes—
356#2323C2212yes—
357#2323C2212yes—
358#2322C2212yes—
359#2322C2212yes—
360#2322C2212yes—
361#2311C2212yes—
362C4×#125C2211yescharacteristic
363C4×#125C2211yescharacteristic
364C4×#124C2211yescharacteristic
365C4×C22⋊Q8C2211yescharacteristic
366C4×C22⋊Q8C2211yescharacteristic
367C4×C22⋊Q8C2212yes—
368C4×C22⋊Q8C2212yes—
369C4×C22⋊Q8C2212yes—
370C4×#123C2212yes—
371C4×#123C2212yes—
372C4×#123C2212yes—
373C4×#121C2211yescharacteristic
374C4×#121C2211yescharacteristic
375C4×#121C2212yes—
376C4×#121C2212yes—
377#2297C2211yescharacteristic
378#2297C2212yes—
379#2296C2211yescharacteristic
380#2296C2211yescharacteristic
381#2295C2211yescharacteristic
382C2×#391C2211yescharacteristic
383#2293C2211yescharacteristic
384C2×#389C2211yescharacteristic
385C2×#389C2211yescharacteristic
386C2×#389C2212yes—
387#2290C2212yes—
388#2290C2212yes—
389C2×#387C2212yes—
390C2×#387C2212yes—
391C2×#387C2212yes—
392#2275C2212yes—
393#2274C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2312yes—
396C22×#41C2312yes—
397C22×#41C2311yescharacteristic
398C23×Q8C2311yescharacteristic
399#553—28no—
400#553—44no—
401#552—28no—
402#548—44no—
403#547—216no—
404#537—216no—
405C2×C4⋊Q8C2312yes—
406C2×#127C2311yescharacteristic
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#125C2311yescharacteristic
412C2×#125C2311yescharacteristic
413C2×#125C2312yes—
414C2×#125C2311yescharacteristic
415C2×#124C2311yescharacteristic
416C2×#124C2311yescharacteristic
417C2×#124C2312yes—
418C2×#124C2311yescharacteristic
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2311yescharacteristic
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2311yescharacteristic
455C2×#121C2311yescharacteristic
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2311yescharacteristic
459#520—48no—
460C4×#41—48no—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C42C2312yes—
519C22×C42C2312yes—
520C22×C42C2312yes—
521C22×C42C2311yescharacteristic
522C22×C42C2311yescharacteristic
523#401C2312yes—
524#401C2312yes—
525#401C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#400C2312yes—
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2312yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#400C2312yes—
556#400C2312yes—
557#399C2312yes—
558#399C2312yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#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#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
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#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#392C2312yes—
678#392C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2311yescharacteristic
682#391C2311yescharacteristic
683#391C2312yes—
684#391C2312yes—
685#391C2311yescharacteristic
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2311yescharacteristic
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2312yes—
695#391C2311yescharacteristic
696#391C2312yes—
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2311yescharacteristic
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2311yescharacteristic
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2311yescharacteristic
716#390C2311yescharacteristic
717#390C2311yescharacteristic
718#390C2311yescharacteristic
719#390C2312yes—
720#389C2311yescharacteristic
721#389C2311yescharacteristic
722#389C2311yescharacteristic
723#389C2311yescharacteristic
724#389C2312yes—
725#389C2312yes—
726#389C2311yescharacteristic
727#389C2311yescharacteristic
728#389C2311yescharacteristic
729#389C2311yescharacteristic
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2311yescharacteristic
736#389C2311yescharacteristic
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2311yescharacteristic
763#389C2312yes—
764#389C2312yes—
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#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#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#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
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#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#384C2311yescharacteristic
1018#383C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#382C2311yescharacteristic
1025#382C2311yescharacteristic
1026#382C2311yescharacteristic
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2311yescharacteristic
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2312yes—
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2312yes—
1057C4×C4⋊C4C2311yescharacteristic
1058C4×C4⋊C4C2311yescharacteristic
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2311yescharacteristic
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2311yescharacteristic
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2311yescharacteristic
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2311yescharacteristic
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2311yescharacteristic
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2311yescharacteristic
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C2×#95C2312yes—
1147C2×#95C2312yes—
1148C2×#95C2312yes—
1149C43C2311yescharacteristic
1150C2×#41—28no—
1151C2×#41—28no—
1152C2×#41—28no—
1153C2×#41—28no—
1154C2×#41—42no—
1155C2×#41—44no—
1156C2×#41—44no—
1157C2×#41—42no—
1158C2×#41—81no—
1159C22×Q8—42no—
1160C22×Q8—42no—
1161C22×Q8—81no—
1162C22×Q8C2412yes—
1163C22×Q8C2412yes—
1164C22×Q8C2411yescharacteristic
1165C22×Q8C2411yescharacteristic
1166C22×Q8C2411yescharacteristic
1167C22×Q8C2412yes—
1168C22×D4C2411yescharacteristic
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2411yescharacteristic
1179C22×D4C2412yes—
1180C22×D4C2411yescharacteristic
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2411yescharacteristic
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2411yescharacteristic
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2411yescharacteristic
1200C23×C4C2411yescharacteristic
1201C23×C4C2412yes—
1202C23×C4C2412yes—
1203C23×C4C2412yes—
1204C23×C4C2412yes—
1205C23×C4C2412yes—
1206C23×C4C2412yes—
1207C23×C4C2411yescharacteristic
1208C23×C4C2411yescharacteristic
1209C4⋊Q8—28no—
1210#127—81no—
1211#126—28no—
1212#126—28no—
1213#126—44no—
1214#126—82no—
1215#125—28no—
1216#125—24no—
1217#125—24no—
1218#125—42no—
1219#124—44no—
1220#124—42no—
1221#124—42no—
1222#124—81no—
1223#123—28no—
1224#123—28no—
1225#123—28no—
1226#123—28no—
1227#123—28no—
1228#123—28no—
1229#123—44no—
1230#123—44no—
1231#123—44no—
1232#123—82no—
1233C22⋊Q8—24no—
1234C22⋊Q8—28no—
1235C22⋊Q8—28no—
1236C22⋊Q8—28no—
1237C22⋊Q8—28no—
1238C22⋊Q8—24no—
1239C22⋊Q8—28no—
1240C22⋊Q8—28no—
1241C22⋊Q8—44no—
1242C22⋊Q8—42no—
1243C22⋊Q8—44no—
1244C22⋊Q8—82no—
1245#121—28no—
1246#121—28no—
1247#121—28no—
1248#121—28no—
1249#121—24no—
1250#121—28no—
1251#121—28no—
1252#121—28no—
1253#121—28no—
1254#121—28no—
1255#121—28no—
1256#121—42no—
1257#121—42no—
1258#121—44no—
1259#121—44no—
1260#121—42no—
1261#121—82no—
1262#121#4118yescomplemented
1263C4×Q8—24no—
1264C4×Q8—44no—
1265C4×Q8—42no—
1266C4×Q8—44no—
1267C4×Q8—44no—
1268C4×Q8—44no—
1269C4×Q8—81no—
1270C4×Q8—81no—
1271C4×D4—28no—
1272C4×D4—24no—
1273C4×D4—28no—
1274C4×D4—24no—
1275C4×D4—24no—
1276C4×D4—28no—
1277C4×D4—28no—
1278C4×D4—28no—
1279C4×D4—28no—
1280C4×D4—24no—
1281C4×D4—44no—
1282C4×D4—44no—
1283C4×D4—42no—
1284C4×D4—44no—
1285C4×D4—44no—
1286C4×D4—44no—
1287C4×D4—44no—
1288C4×D4—44no—
1289C4×D4—44no—
1290C4×D4—44no—
1291C4×D4—81no—
1292C4×D4—81no—
1293C4×D4—82no—
1294C4×D4—82no—
1295C4×D4—82no—
1296#117—28no—
1297#117—24no—
1298#117—24no—
1299#117—28no—
1300#117—42no—
1301#117—44no—
1302#117—44no—
1303#117—44no—
1304#117—44no—
1305#117—44no—
1306#117—81no—
1307#117—81no—
1308C2×C4⋊C4—28no—
1309C2×C4⋊C4—24no—
1310C2×C4⋊C4—28no—
1311C2×C4⋊C4—44no—
1312C2×C4⋊C4—44no—
1313C2×C4⋊C4—44no—
1314C2×C4⋊C4—44no—
1315C2×C4⋊C4—42no—
1316C2×C4⋊C4—81no—
1317C2×C4⋊C4—81no—
1318C2×C4⋊C4—82no—
1319C2×C4⋊C4#4118yescomplemented
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2411yescharacteristic
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2411yescharacteristic
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2411yescharacteristic
1369C2×C4⋊C4C2411yescharacteristic
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2411yescharacteristic
1380C2×C4⋊C4C2411yescharacteristic
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2411yescharacteristic
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2411yescharacteristic
1392C2×C4⋊C4C2411yescharacteristic
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2412yes—
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2411yescharacteristic
1401C2×C4⋊C4C2411yescharacteristic
1402C2×C4⋊C4C2411yescharacteristic
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2411yescharacteristic
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2411yescharacteristic
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2411yescharacteristic
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2411yescharacteristic
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2411yescharacteristic
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊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×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2411yescharacteristic
1480C2×C42—44no—
1481C2×C42—44no—
1482C2×C42—44no—
1483C2×C42—81no—
1484C2×C42—81no—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2411yescharacteristic
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2411yescharacteristic
1495C2×C42C2411yescharacteristic
1496C2×C42C2412yes—
1497C2×C42C2411yescharacteristic
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519C2×C42C2411yescharacteristic
1520C2×C42C2412yes—
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2412yes—
1524C2×C42C2412yes—
1525#95C2412yes—
1526#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1587#95C2411yescharacteristic
1588#95C2411yescharacteristic
1589#95C2412yes—
1590#95C2412yes—
1591#95C2411yescharacteristic
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625#95C2412yes—
1626#95C2412yes—
1627#95C2412yes—
1628#95C2412yes—
1629#95C2412yes—
1630#95C2412yes—
1631#95C2412yes—
1632#95C2412yes—
1633C24C2511yescharacteristic
1634C24C2512yes—
1635C24C2512yes—
1636C24C2512yes—
1637C24C2511yescharacteristic
1638#41—432no—
1639#41—432no—
1640#41—88no—
1641C2×Q8—22no—
1642C2×Q8—24no—
1643C2×Q8—24no—
1644C2×Q8—24no—
1645C2×Q8—24no—
1646C2×Q8—22no—
1647C2×Q8—22no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×Q8—41no—
1651C2×Q8—41no—
1652C2×Q8—41no—
1653C2×Q8—41no—
1654C2×Q8—41no—
1655C2×Q8—42no—
1656C2×Q8—42no—
1657C2×Q8—41no—
1658C2×Q8—42no—
1659C2×Q8—88no—
1660C2×D4—24no—
1661C2×D4—24no—
1662C2×D4—22no—
1663C2×D4—22no—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—24no—
1668C2×D4—24no—
1669C2×D4—24no—
1670C2×D4—24no—
1671C2×D4—24no—
1672C2×D4—22no—
1673C2×D4—24no—
1674C2×D4—24no—
1675C2×D4—24no—
1676C2×D4—24no—
1677C2×D4—24no—
1678C2×D4—24no—
1679C2×D4—24no—
1680C2×D4—22no—
1681C2×D4—22no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—41no—
1685C2×D4—41no—
1686C2×D4—41no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—41no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—41no—
1696C2×D4—41no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4C2×#4118yes—
1707C2×D4C2×#4114yes—
1708C22×C4—24no—
1709C22×C4—24no—
1710C22×C4—24no—
1711C22×C4—24no—
1712C22×C4—22no—
1713C22×C4—24no—
1714C22×C4—24no—
1715C22×C4—24no—
1716C22×C4—24no—
1717C22×C4—24no—
1718C22×C4—24no—
1719C22×C4—24no—
1720C22×C4—24no—
1721C22×C4—22no—
1722C22×C4—22no—
1723C22×C4—24no—
1724C22×C4—24no—
1725C22×C4—24no—
1726C22×C4—24no—
1727C22×C4—22no—
1728C22×C4—22no—
1729C22×C4—22no—
1730C22×C4—24no—
1731C22×C4—24no—
1732C22×C4—24no—
1733C22×C4—24no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—41no—
1737C22×C4—41no—
1738C22×C4—41no—
1739C22×C4—41no—
1740C22×C4—41no—
1741C22×C4—41no—
1742C22×C4—42no—
1743C22×C4—42no—
1744C22×C4—41no—
1745C22×C4—41no—
1746C22×C4—41no—
1747C22×C4—41no—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—42no—
1761C22×C4—42no—
1762C22×C4—42no—
1763C22×C4—42no—
1764C22×C4—42no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—42no—
1769C22×C4—42no—
1770C22×C4—42no—
1771C22×C4—42no—
1772C22×C4—42no—
1773C22×C4—42no—
1774C22×C4—42no—
1775C22×C4—42no—
1776C22×C4—42no—
1777C22×C4—42no—
1778C22×C4—42no—
1779C22×C4—42no—
1780C22×C4C2×#4118yes—
1781C22×C4C2×#4114yes—
1782C22×C4C2×#4114yes—
1783C22×C4C2511yescharacteristic
1784C22×C4C2512yes—
1785C22×C4C2512yes—
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2512yes—
1789C22×C4C2512yes—
1790C22×C4C2512yes—
1791C22×C4C2511yescharacteristic
1792C22×C4C2511yescharacteristic
1793C22×C4C2511yescharacteristic
1794C22×C4C2512yes—
1795C22×C4C2512yes—
1796C22×C4C2512yes—
1797C22×C4C2512yes—
1798C22×C4C2512yes—
1799C22×C4C2512yes—
1800C22×C4C2512yes—
1801C22×C4C2512yes—
1802C22×C4C2512yes—
1803C22×C4C2512yes—
1804C22×C4C2511yescharacteristic
1805C22×C4C2512yes—
1806C22×C4C2511yescharacteristic
1807C22×C4C2511yescharacteristic
1808C22×C4C2511yescharacteristic
1809C22×C4C2511yescharacteristic
1810C22×C4C2511yescharacteristic
1811C22×C4C2512yes—
1812C22×C4C2512yes—
1813C22×C4C2512yes—
1814C22×C4C2511yescharacteristic
1815C22×C4C2511yescharacteristic
1816C22×C4C2511yescharacteristic
1817C4⋊C4—22no—
1818C4⋊C4—24no—
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4—24no—
1822C4⋊C4—22no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—24no—
1826C4⋊C4—24no—
1827C4⋊C4—24no—
1828C4⋊C4—22no—
1829C4⋊C4—24no—
1830C4⋊C4—24no—
1831C4⋊C4—24no—
1832C4⋊C4—22no—
1833C4⋊C4—22no—
1834C4⋊C4—24no—
1835C4⋊C4—24no—
1836C4⋊C4—24no—
1837C4⋊C4—24no—
1838C4⋊C4—24no—
1839C4⋊C4—24no—
1840C4⋊C4—24no—
1841C4⋊C4—24no—
1842C4⋊C4—24no—
1843C4⋊C4—24no—
1844C4⋊C4—24no—
1845C4⋊C4—24no—
1846C4⋊C4—24no—
1847C4⋊C4—24no—
1848C4⋊C4—22no—
1849C4⋊C4—24no—
1850C4⋊C4—24no—
1851C4⋊C4—24no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—41no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—41no—
1862C4⋊C4—42no—
1863C4⋊C4—41no—
1864C4⋊C4—41no—
1865C4⋊C4—42no—
1866C4⋊C4—41no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—41no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—41no—
1874C4⋊C4—41no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—42no—
1884C4⋊C4—41no—
1885C4⋊C4—41no—
1886C4⋊C4—41no—
1887C4⋊C4—41no—
1888C4⋊C4—42no—
1889C4⋊C4—42no—
1890C4⋊C4—42no—
1891C4⋊C4—42no—
1892C4⋊C4—42no—
1893C4⋊C4—42no—
1894C4⋊C4—42no—
1895C4⋊C4—42no—
1896C4⋊C4C2×#4118yes—
1897C4⋊C4C2×#4114yes—
1898C4⋊C4C2×#4114yes—
1899C4⋊C4C2×#4114yes—
1900C22⋊C4—22no—
1901C22⋊C4—24no—
1902C22⋊C4—22no—
1903C22⋊C4—24no—
1904C22⋊C4—24no—
1905C22⋊C4—24no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—24no—
1909C22⋊C4—24no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
1914C22⋊C4—22no—
1915C22⋊C4—22no—
1916C22⋊C4—24no—
1917C22⋊C4—24no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—24no—
1922C22⋊C4—24no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—24no—
1926C22⋊C4—24no—
1927C22⋊C4—24no—
1928C22⋊C4—22no—
1929C22⋊C4—24no—
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⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4C2×#4118yes—
1976C22⋊C4H(5,𝔽2)14yes—
1977C42—24no—
1978C42—24no—
1979C42—24no—
1980C42—22no—
1981C42—24no—
1982C42—22no—
1983C42—24no—
1984C42—24no—
1985C42—24no—
1986C42—24no—
1987C42—24no—
1988C42—22no—
1989C42—22no—
1990C42—42no—
1991C42—42no—
1992C42—42no—
1993C42—42no—
1994C42—42no—
1995C42—42no—
1996C42—41no—
1997C42—41no—
1998C42—41no—
1999C42—41no—
2000C42—41no—
2001C42—41no—
2002C42—41no—
2003C42—41no—
2004C42—41no—
2005C42—42no—
2006C42—42no—
2007C42—42no—
2008C42—42no—
2009C42—42no—
2010C42—42no—
2011C42—42no—
2012C42—42no—
2013C42—42no—
2014C42—42no—
2015C42—42no—
2016C42—42no—
2017C23—21no—
2018C23—21no—
2019C23—21no—
2020C23—21no—
2021C23—22no—
2022C23—22no—
2023C23—22no—
2024C23—22no—
2025C23—22no—
2026C23—22no—
2027C23—21no—
2028C23—21no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—22no—
2033C23—21no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—22no—
2038C23—21no—
2039C23—21no—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23—22no—
2044C23—22no—
2045C23—21no—
2046C23—22no—
2047C23—21no—
2048C23C22×#4114yes—
2049C23C22×#4112yes—
2050C23C22×#4112yes—
2051C23C2×H(5,𝔽2)12yes—
2052C23C2611yescharacteristic
2053Q8—48no—
2054Q8—48no—
2055Q8—44no—
2056Q8—44no—
2057Q8—82no—
2058Q8—84no—
2059D4—216no—
2060D4—44no—
2061D4—48no—
2062D4—48no—
2063D4—44no—
2064D4—48no—
2065D4—48no—
2066D4—84no—
2067D4—84no—
2068D4—82no—
2069D4—82no—
2070D4—84no—
2071D4—84no—
2072D4—84no—
2073D4—84no—
2074D4—162no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—21no—
2081C2×C4—22no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—21no—
2086C2×C4—21no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—21no—
2091C2×C4—21no—
2092C2×C4—21no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—216no—
2096C2×C4—21no—
2097C2×C4—21no—
2098C2×C4—21no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—21no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—21no—
2105C2×C4—21no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—21no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—21no—
2126C2×C4—21no—
2127C2×C4—21no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—21no—
2138C2×C4—21no—
2139C2×C4—21no—
2140C2×C4—22no—
2141C2×C4—21no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—21no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—21no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—21no—
2162C2×C4—21no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—22no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—48no—
2171C2×C4—48no—
2172C2×C4—44no—
2173C2×C4—44no—
2174C2×C4—48no—
2175C2×C4—48no—
2176C2×C4—44no—
2177C2×C4—44no—
2178C2×C4—84no—
2179C2×C4—84no—
2180C2×C4—84no—
2181C2×C4—84no—
2182C2×C4—84no—
2183C2×C4—84no—
2184C2×C4—84no—
2185C2×C4—84no—
2186C2×C4—84no—
2187C2×C4—84no—
2188C2×C4—84no—
2189C2×C4—84no—
2190C2×C4—162no—
2191C2×C4—162no—
2192C2×C4C22×#4114yes—
2193C2×C4C22×#4112yes—
2194C2×C4C22×#4112yes—
2195C2×C4C22×#4112yes—
2196C2×C4C22×#4114yes—
2197C2×C4C22×#4114yes—
2198C2×C4C22×#4112yes—
2199C2×C4C2×H(5,𝔽2)12yes—
2200C2×C4C2×H(5,𝔽2)12yes—
2201C2×C4#58512yes—
2202C22—22no—
2203C22—22no—
2204C22—22no—
2205C22—22no—
2206C22—22no—
2207C22—22no—
2208C22—24no—
2209C22—24no—
2210C22—24no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—42no—
2215C22—41no—
2216C22—42no—
2217C22—42no—
2218C22—41no—
2219C22—42no—
2220C22—42no—
2221C22—42no—
2222C22—41no—
2223C22—42no—
2224C22—41no—
2225C22—42no—
2226C22—42no—
2227C22—41no—
2228C22—42no—
2229C22—42no—
2230C22—41no—
2231C22—42no—
2232C22—42no—
2233C22—42no—
2234C22—42no—
2235C22—41no—
2236C22#348114yes—
2237C22C23×#4111yescharacteristic
2238C22C23×#4111yescharacteristic
2239C22C22×H(5,𝔽2)11yescharacteristic
2240C22C2×#58511yescharacteristic
2241C22H(7,𝔽2)11yescharacteristic
2242C222−1+611yescharacteristic
2243C222−1+611yescharacteristic
2244C4—22no—
2245C4—22no—
2246C4—22no—
2247C4—22no—
2248C4—22no—
2249C4—22no—
2250C4—22no—
2251C4—24no—
2252C4—24no—
2253C4—24no—
2254C4—41no—
2255C4—42no—
2256C4—42no—
2257C4—41no—
2258C4—42no—
2259C4—42no—
2260C4—42no—
2261C4—42no—
2262C4—42no—
2263C4—41no—
2264C4—42no—
2265C4—42no—
2266C4—41no—
2267C4—42no—
2268C4—42no—
2269C4—41no—
2270C4—42no—
2271C4—42no—
2272C4—42no—
2273C4—42no—
2274C4—42no—
2275C4—42no—
2276C4—42no—
2277C4—41no—
2278C2—24no—
2279C2—44no—
2280C2—81no—
2281C2—82no—
2282C2—82no—
2283C2C2×#348111yescharacteristic
2284C2#6284711yescharacteristic
2285C2#6285611yescharacteristic
2286C2#6289611yescharacteristic
2287C2#6299511yescharacteristic
2288C2#6300711yescharacteristic
2289C2#6306311yescharacteristic
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. #60046C2semidirect
2. #59891C2semidirect
3. #59886C2semidirect
4. #59880C2semidirect
5. #59775C2semidirect
6. #59704C2semidirect
7. #52304C2semidirect
8. #52278C2semidirect
9. C2×#2805C2semidirect
10. #44865C2semidirect
11. #44687C2semidirect
12. #44674C2semidirect
13. #44601C2semidirect
14. #44446C2semidirect
15. #44193C2semidirect
16. #43978C2semidirect
17. #43413C2semidirect
18. #43154C2semidirect
19. #40406C2semidirect
20. #40402C2semidirect
21. #39815C2semidirect
22. #39767C2semidirect
23. #39359C2semidirect
24. #38771C2semidirect
25. #38770C2semidirect
26. #38763C2semidirect
27. #38761C2semidirect
28. #38519C2semidirect
29. #38513C2semidirect
30. #38087C2semidirect
31. #36396C2semidirect
32. #36225C2semidirect
33. #36034C2semidirect
34. #35965C2semidirect
35. #35740C2semidirect
36. #34323C2semidirect
37. #34314C2semidirect
38. #34289C2semidirect
39. #34267C2semidirect
1262. #121#41semidirect
1319. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#600462
#598912
#598862
#598802
#597752
#597042
#523042
#522782
C2×#28052
#448652
#446872
#446742
#446012
#444462
#441932
#439782
#434132
#431542
#404062
#404022
#398152
#397672
#393592
#387712
#387702
#387632
#387612
#385192
#385132
#380872
#363962
#362252
#360342
#359652
#357402
#343232
#343142
#342892
#342672