Finite Group Databasebeta

← #7645147

Subgroups — #7645147

Order 512.

4410 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41712C212yesmaximal, complemented
2#41669C212yesmaximal, complemented
3#41102C212yesmaximal, complemented
4#41064C212yesmaximal, complemented
5#41061C212yesmaximal, complemented
6#41019C212yesmaximal, complemented
7#41004C212yesmaximal, complemented
8#41001C212yesmaximal, complemented
9#40330C212yesmaximal, complemented
10#40326C212yesmaximal, complemented
11#40282C212yesmaximal, complemented
12#40279C212yesmaximal, complemented
13#38730C212yesmaximal, complemented
14#38726C212yesmaximal, complemented
15#38667C212yesmaximal, complemented
16#38662C212yesmaximal, complemented
17#37558C211yesmaximal, characteristic, complemented
18#37552C211yesmaximal, characteristic, complemented
19#37491C212yesmaximal, complemented
20#37201C212yesmaximal, complemented
21#37142C212yesmaximal, complemented
22#37031C211yesmaximal, characteristic, complemented
23#37025C211yesmaximal, characteristic, complemented
24#36833C211yesmaximal, characteristic, complemented
25#36829C211yesmaximal, characteristic, complemented
26#35510C211yesmaximal, characteristic, complemented
27#35485C211yesmaximal, characteristic, complemented
28#35436C211yesmaximal, characteristic, complemented
29#35434C211yesmaximal, characteristic, complemented
30#35344C211yesmaximal, characteristic, complemented
31#35212C211yesmaximal, characteristic, complemented
32#35113C212yesmaximal, complemented
33#35048C212yesmaximal, complemented
34#35046C212yesmaximal, complemented
35#35041C212yesmaximal, complemented
36#34906C212yesmaximal, complemented
37#34230C211yesmaximal, characteristic, complemented
38#34153C211yesmaximal, characteristic, complemented
39#34083C211yesmaximal, characteristic, complemented
40C2×#529C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2211yescharacteristic
43#2866C2212yes—
44#2865C2212yes—
45#2864C2212yes—
46#2863C2212yes—
47#2862C2212yes—
48#2861C2212yes—
49#2860C2212yes—
50#2860C2212yes—
51#2855C2212yes—
52#2853C2212yes—
53#2852C2212yes—
54#2850C2212yes—
55#2834C2212yes—
56#2826C2212yes—
57#2824C2212yes—
58#2824C2212yes—
59#2817C2211yescharacteristic
60#2816C2211yescharacteristic
61#2816C2211yescharacteristic
62#2815C2211yescharacteristic
63#2814C2211yescharacteristic
64#2814C2211yescharacteristic
65#2813C2211yescharacteristic
66#2813C2211yescharacteristic
67#2809C2212yes—
68#2808C2212yes—
69#2808C2212yes—
70#2808C2212yes—
71#2806C2212yes—
72#2806C2212yes—
73#2804C2212yes—
74#2803C2212yes—
75#2803C2212yes—
76#2803C2212yes—
77#2802C2212yes—
78#2801C2212yes—
79#2800C2212yes—
80#2800C2212yes—
81#2798C2212yes—
82#2797C2212yes—
83#2787C2212yes—
84#2783C2212yes—
85#2779C2212yes—
86#2776C2212yes—
87#2776C2212yes—
88#2776C2212yes—
89#2774C2212yes—
90#2773C2212yes—
91#2773C2212yes—
92#2771C2212yes—
93#2766C2212yes—
94#2766C2212yes—
95#2762C2212yes—
96#2761C2212yes—
97#2761C2212yes—
98#2759C2212yes—
99#2759C2212yes—
100#2759C2212yes—
101#2759C2212yes—
102#2757C2212yes—
103#2753C2212yes—
104#2751C2212yes—
105#2747C2212yes—
106#2745C2212yes—
107#2745C2212yes—
108#2741C2212yes—
109#2738C2212yes—
110#2737C2212yes—
111#2737C2212yes—
112#2732C2212yes—
113#2729C2212yes—
114#2729C2212yes—
115#2725C2212yes—
116#2716C2212yes—
117#2716C2212yes—
118#2714C2212yes—
119#2714C2212yes—
120#2710C2212yes—
121#2701C2212yes—
122#2698C2212yes—
123#2698C2212yes—
124#2694C2212yes—
125#2692C2212yes—
126#2689C2212yes—
127#2689C2212yes—
128#2689C2212yes—
129#2688C2212yes—
130#2672C2212yes—
131#2664C2211yescharacteristic
132#2664C2211yescharacteristic
133#2663C2212yes—
134#2663C2212yes—
135#2662C2211yescharacteristic
136#2662C2211yescharacteristic
137#2661C2212yes—
138#2661C2212yes—
139#2655C2212yes—
140#2655C2212yes—
141#2653C2212yes—
142#2653C2212yes—
143#2653C2212yes—
144#2653C2212yes—
145#2653C2212yes—
146#2653C2212yes—
147#2653C2212yes—
148#2653C2212yes—
149#2651C2212yes—
150#2651C2212yes—
151#2649C2212yes—
152#2649C2212yes—
153#2638C2212yes—
154#2637C2212yes—
155#2637C2212yes—
156#2636C2212yes—
157#2636C2212yes—
158#2635C2212yes—
159#2635C2212yes—
160#2634C2211yescharacteristic
161#2633C2212yes—
162#2633C2212yes—
163#2633C2211yescharacteristic
164#2632C2211yescharacteristic
165#2631C2212yes—
166#2631C2211yescharacteristic
167#2630C2212yes—
168#2630C2212yes—
169#2628C2212yes—
170#2628C2212yes—
171#2611C2212yes—
172#2611C2211yescharacteristic
173#2611C2212yes—
174#2611C2211yescharacteristic
175#2610C2212yes—
176#2610C2212yes—
177#2610C2212yes—
178#2610C2211yescharacteristic
179#2610C2211yescharacteristic
180#2607C2212yes—
181#2607C2212yes—
182#2607C2212yes—
183#2607C2212yes—
184#2606C2212yes—
185#2605C2212yes—
186#2605C2212yes—
187#2605C2211yescharacteristic
188#2605C2211yescharacteristic
189#2605C2211yescharacteristic
190#2605C2211yescharacteristic
191#2605C2212yes—
192#2604C2212yes—
193#2602C2212yes—
194#2602C2212yes—
195#2602C2212yes—
196#2602C2212yes—
197#2602C2212yes—
198#2601C2212yes—
199#2601C2212yes—
200#2601C2212yes—
201#2600C2212yes—
202#2600C2212yes—
203#2599C2212yes—
204#2599C2212yes—
205#2599C2211yescharacteristic
206#2599C2211yescharacteristic
207#2598C2211yescharacteristic
208#2598C2211yescharacteristic
209#2597C2212yes—
210#2597C2212yes—
211#2597C2212yes—
212#2597C2212yes—
213#2596C2212yes—
214#2595C2212yes—
215#2595C2212yes—
216#2594C2212yes—
217#2594C2212yes—
218#2594C2212yes—
219#2592C2212yes—
220#2592C2211yescharacteristic
221#2590C2212yes—
222#2590C2212yes—
223#2589C2212yes—
224#2589C2212yes—
225#2589C2212yes—
226#2589C2212yes—
227#2588C2212yes—
228#2588C2212yes—
229#2588C2212yes—
230#2587C2212yes—
231#2584C2211yescharacteristic
232#2578C2212yes—
233#2578C2212yes—
234#2577C2212yes—
235#2577C2212yes—
236#2577C2212yes—
237#2576C2212yes—
238#2576C2212yes—
239#2576C2212yes—
240#2574C2212yes—
241#2562C2211yescharacteristic
242#2560C2212yes—
243#2560C2212yes—
244#2560C2212yes—
245#2559C2212yes—
246#2558C2212yes—
247#2557C2212yes—
248#2556C2212yes—
249#2549C2212yes—
250#2540C2211yescharacteristic
251#2533C2212yes—
252#2532C2212yes—
253#2532C2212yes—
254#2532C2212yes—
255#2532C2212yes—
256#2532C2212yes—
257#2531C2212yes—
258#2530C2212yes—
259#2528C2212yes—
260#2527C2212yes—
261#2527C2212yes—
262#2527C2212yes—
263#2525C2212yes—
264#2523C2212yes—
265#2523C2212yes—
266#2522C2212yes—
267#2521C2212yes—
268#2518C2212yes—
269#2518C2212yes—
270#2517C2212yes—
271#2514C2212yes—
272#2514C2212yes—
273#2510C2212yes—
274#2493C2212yes—
275#2491C2212yes—
276#2479C2212yes—
277#2478C2212yes—
278#2477C2212yes—
279#2477C2212yes—
280#2476C2212yes—
281#2476C2212yes—
282#2475C2212yes—
283#2475C2212yes—
284#2474C2212yes—
285#2471C2212yes—
286#2467C2212yes—
287#2467C2212yes—
288#2467C2212yes—
289#2467C2212yes—
290#2466C2212yes—
291#2465C2212yes—
292#2463C2212yes—
293#2463C2212yes—
294#2462C2212yes—
295#2462C2212yes—
296#2462C2212yes—
297#2459C2212yes—
298#2459C2212yes—
299#2459C2212yes—
300#2459C2212yes—
301#2459C2212yes—
302#2458C2212yes—
303#2455C2212yes—
304#2453C2212yes—
305#2448C2212yes—
306#2439C2212yes—
307#2432C2212yes—
308#2430C2212yes—
309#2429C2212yes—
310#2415C2212yes—
311#2415C2212yes—
312#2414C2212yes—
313#2407C2212yes—
314#2407C2212yes—
315#2398C2212yes—
316#2395C2212yes—
317#2395C2212yes—
318#2388C2212yes—
319#2373C2212yes—
320#2373C2212yes—
321#2370C2212yes—
322#2370C2212yes—
323#2367C2212yes—
324#2367C2212yes—
325#2361C2212yes—
326#2361C2212yes—
327#2360C2212yes—
328#2360C2212yes—
329#2359C2212yes—
330#2359C2212yes—
331#2353C2212yes—
332#2349C2212yes—
333#2347C2212yes—
334#2343C2212yes—
335#2337C2211yescharacteristic
336#2337C2211yescharacteristic
337#2337C2212yes—
338#2337C2212yes—
339#2336C2211yescharacteristic
340#2336C2211yescharacteristic
341#2336C2212yes—
342#2335C2212yes—
343#2334C2212yes—
344#2334C2212yes—
345#2334C2212yes—
346#2334C2212yes—
347#2334C2212yes—
348#2333C2212yes—
349#2332C2212yes—
350#2332C2212yes—
351#2331C2212yes—
352#2331C2212yes—
353#2329C2212yes—
354#2325C2212yes—
355#2324C2212yes—
356#2323C2212yes—
357#2322C2212yes—
358#2322C2212yes—
359#2320C2211yescharacteristic
360#2319C2211yescharacteristic
361C4×#126C2212yes—
362C4×#126C2212yes—
363C4×C22⋊Q8C2212yes—
364C4×C22⋊Q8C2212yes—
365C4×#123C2212yes—
366C4×#123C2212yes—
367#2298C2212yes—
368#2298C2212yes—
369#2298C2212yes—
370#2298C2211yescharacteristic
371#2298C2211yescharacteristic
372#2297C2212yes—
373#2297C2212yes—
374#2296C2212yes—
375#2296C2211yescharacteristic
376#2296C2211yescharacteristic
377#2295C2211yescharacteristic
378#2295C2212yes—
379#2293C2211yescharacteristic
380#2290C2212yes—
381#2290C2212yes—
382#2290C2211yescharacteristic
383#2290C2211yescharacteristic
384#2283C2211yescharacteristic
385#2283C2211yescharacteristic
386#2276C2211yescharacteristic
387#2275C2211yescharacteristic
388C42×Q8C2211yescharacteristic
389C42×D4C2212yes—
390C42×D4C2211yescharacteristic
391C42×D4C2211yescharacteristic
392C42×D4C2211yescharacteristic
393C4×#117C2211yescharacteristic
394C2×C4×C4⋊C4C2211yescharacteristic
395C22×#41C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398#529—28no—
399#529—28no—
400#529—28no—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2311yescharacteristic
404C2×#126C2311yescharacteristic
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#125C2311yescharacteristic
410C2×#125C2311yescharacteristic
411C2×#125C2311yescharacteristic
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#124C2311yescharacteristic
415C2×#124C2311yescharacteristic
416C2×#124C2311yescharacteristic
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2311yescharacteristic
423C2×#123C2311yescharacteristic
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×#117C2312yes—
463C2×#117C2311yescharacteristic
464C2×#117C2311yescharacteristic
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2311yescharacteristic
470C2×#117C2312yes—
471C2×#117C2311yescharacteristic
472C22×C4⋊C4C2312yes—
473C22×C42C2311yescharacteristic
474C22×C42C2312yes—
475C22×C42C2311yescharacteristic
476C22×C42C2311yescharacteristic
477C22×C42C2311yescharacteristic
478C22×C42C2311yescharacteristic
479#401C2312yes—
480#401C2312yes—
481#401C2312yes—
482#401C2312yes—
483#401C2312yes—
484#401C2312yes—
485#400C2311yescharacteristic
486#400C2312yes—
487#400C2311yescharacteristic
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2311yescharacteristic
511#400C2311yescharacteristic
512#399C2312yes—
513#399C2311yescharacteristic
514#399C2311yescharacteristic
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2311yescharacteristic
524#399C2311yescharacteristic
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2311yescharacteristic
530#398C2311yescharacteristic
531#398C2311yescharacteristic
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2311yescharacteristic
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2311yescharacteristic
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#397C2311yescharacteristic
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2311yescharacteristic
585#397C2311yescharacteristic
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#395C2311yescharacteristic
602#395C2312yes—
603#395C2311yescharacteristic
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2311yescharacteristic
611#395C2312yes—
612#395C2312yes—
613#395C2311yescharacteristic
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2311yescharacteristic
620#394C2311yescharacteristic
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#394C2311yescharacteristic
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2311yescharacteristic
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2311yescharacteristic
655#393C2311yescharacteristic
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2311yescharacteristic
670#393C2311yescharacteristic
671#393C2312yes—
672#393C2312yes—
673#392C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2311yescharacteristic
677#392C2311yescharacteristic
678#392C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2312yes—
682#392C2311yescharacteristic
683#392C2311yescharacteristic
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#389C2312yes—
736#389C2312yes—
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#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
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#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#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#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
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#385C2312yes—
1018#385C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#383C2311yescharacteristic
1025#383C2311yescharacteristic
1026#383C2312yes—
1027#383C2312yes—
1028#383C2311yescharacteristic
1029#383C2311yescharacteristic
1030#383C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#381C2311yescharacteristic
1039#381C2311yescharacteristic
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2311yescharacteristic
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2311yescharacteristic
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2311yescharacteristic
1117C4×C22⋊C4C2311yescharacteristic
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2311yescharacteristic
1129#376C2311yescharacteristic
1130#376C2311yescharacteristic
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2311yescharacteristic
1136#376C2311yescharacteristic
1137#376C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C43C2311yescharacteristic
1141C43C2312yes—
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C2×#41—44no—
1146C2×#41—44no—
1147C2×#41—82no—
1148C22×Q8C2411yescharacteristic
1149C22×Q8C2411yescharacteristic
1150C22×Q8C2412yes—
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×Q8C2412yes—
1155C22×D4C2412yes—
1156C22×D4C2411yescharacteristic
1157C22×D4C2411yescharacteristic
1158C22×D4C2412yes—
1159C22×D4C2411yescharacteristic
1160C22×D4C2411yescharacteristic
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2412yes—
1170C23×C4C2411yescharacteristic
1171C23×C4C2411yescharacteristic
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2411yescharacteristic
1181C23×C4C2411yescharacteristic
1182C23×C4C2411yescharacteristic
1183C4⋊Q8—44no—
1184C4⋊Q8—44no—
1185#126—24no—
1186#126—24no—
1187#126—28no—
1188#126—28no—
1189#126—44no—
1190#126—44no—
1191#126—44no—
1192#126—82no—
1193#125—24no—
1194#125—24no—
1195#125—24no—
1196#125—44no—
1197#125—82no—
1198#124—24no—
1199#124—24no—
1200#124—24no—
1201#124—44no—
1202#124—44no—
1203#124—82no—
1204#123—28no—
1205#123—24no—
1206#123—24no—
1207#123—28no—
1208#123—44no—
1209#123—82no—
1210C22⋊Q8—24no—
1211C22⋊Q8—24no—
1212C22⋊Q8—24no—
1213C22⋊Q8—44no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216C22⋊Q8—44no—
1217C22⋊Q8—44no—
1218C22⋊Q8—82no—
1219#121—24no—
1220#121—24no—
1221#121—24no—
1222#121—44no—
1223#121—44no—
1224#121—82no—
1225C4×Q8—24no—
1226C4×Q8—24no—
1227C4×Q8—24no—
1228C4×Q8—44no—
1229C4×Q8—44no—
1230C4×Q8—82no—
1231C4×D4—24no—
1232C4×D4—28no—
1233C4×D4—24no—
1234C4×D4—28no—
1235C4×D4—24no—
1236C4×D4—24no—
1237C4×D4—24no—
1238C4×D4—44no—
1239C4×D4—44no—
1240C4×D4—44no—
1241C4×D4—44no—
1242C4×D4—44no—
1243C4×D4—44no—
1244C4×D4—82no—
1245C4×D4—82no—
1246#117—24no—
1247#117—24no—
1248#117—28no—
1249#117—28no—
1250#117—44no—
1251#117—44no—
1252#117—44no—
1253#117—82no—
1254#117—81no—
1255#117—81no—
1256C2×C4⋊C4—44no—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊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⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2411yescharacteristic
1340C2×C22⋊C4C2411yescharacteristic
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2411yescharacteristic
1344C2×C22⋊C4C2411yescharacteristic
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2411yescharacteristic
1347C2×C22⋊C4C2411yescharacteristic
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2411yescharacteristic
1353C2×C22⋊C4C2411yescharacteristic
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2411yescharacteristic
1359C2×C22⋊C4C2411yescharacteristic
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×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×C42—81no—
1418C2×C42—81no—
1419C2×C42—81no—
1420C2×C42—81no—
1421C2×C42—82no—
1422C2×C42#4118yescomplemented
1423C2×C42C2411yescharacteristic
1424C2×C42C2411yescharacteristic
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2411yescharacteristic
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2411yescharacteristic
1435C2×C42C2412yes—
1436C2×C42C2411yescharacteristic
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2411yescharacteristic
1457C2×C42C2412yes—
1458C2×C42C2411yescharacteristic
1459C2×C42C2411yescharacteristic
1460C2×C42C2412yes—
1461C2×C42C2411yescharacteristic
1462C2×C42C2411yescharacteristic
1463C2×C42C2411yescharacteristic
1464C2×C42C2411yescharacteristic
1465C2×C42C2411yescharacteristic
1466C2×C42C2411yescharacteristic
1467#95C2412yes—
1468#95C2411yescharacteristic
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2411yescharacteristic
1475#95C2412yes—
1476#95C2411yescharacteristic
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2411yescharacteristic
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2411yescharacteristic
1545#95C2411yescharacteristic
1546#95C2412yes—
1547#95C2411yescharacteristic
1548#95C2411yescharacteristic
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583C24C2512yes—
1584C24C2512yes—
1585C24C2511yescharacteristic
1586C24C2511yescharacteristic
1587C24C2511yescharacteristic
1588#41—816no—
1589C2×Q8—22no—
1590C2×Q8—22no—
1591C2×Q8—22no—
1592C2×Q8—24no—
1593C2×Q8—24no—
1594C2×Q8—42no—
1595C2×Q8—42no—
1596C2×Q8—42no—
1597C2×Q8—42no—
1598C2×Q8—42no—
1599C2×Q8—42no—
1600C2×Q8—42no—
1601C2×Q8—42no—
1602C2×Q8—42no—
1603C2×Q8—42no—
1604C2×Q8—42no—
1605C2×Q8—42no—
1606C2×Q8—42no—
1607C2×D4—22no—
1608C2×D4—22no—
1609C2×D4—24no—
1610C2×D4—24no—
1611C2×D4—22no—
1612C2×D4—22no—
1613C2×D4—22no—
1614C2×D4—24no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C22×C4—24no—
1642C22×C4—22no—
1643C22×C4—22no—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—24no—
1648C22×C4—24no—
1649C22×C4—24no—
1650C22×C4—24no—
1651C22×C4—41no—
1652C22×C4—41no—
1653C22×C4—42no—
1654C22×C4—41no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—42no—
1662C22×C4—41no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4C2×#4114yes—
1682C22×C4C2×#4114yes—
1683C22×C4C2×#4114yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2511yescharacteristic
1697C22×C4C2512yes—
1698C22×C4C2511yescharacteristic
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2511yescharacteristic
1705C22×C4C2512yes—
1706C22×C4C2511yescharacteristic
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2511yescharacteristic
1711C22×C4C2511yescharacteristic
1712C22×C4C2511yescharacteristic
1713C22×C4C2511yescharacteristic
1714C22×C4C2511yescharacteristic
1715C22×C4C2511yescharacteristic
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—22no—
1721C4⋊C4—22no—
1722C4⋊C4—24no—
1723C4⋊C4—22no—
1724C4⋊C4—22no—
1725C4⋊C4—24no—
1726C4⋊C4—22no—
1727C4⋊C4—22no—
1728C4⋊C4—22no—
1729C4⋊C4—22no—
1730C4⋊C4—22no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—22no—
1734C4⋊C4—22no—
1735C4⋊C4—22no—
1736C4⋊C4—24no—
1737C4⋊C4—22no—
1738C4⋊C4—22no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—22no—
1801C22⋊C4—22no—
1802C22⋊C4—24no—
1803C22⋊C4—22no—
1804C22⋊C4—22no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—22no—
1808C22⋊C4—22no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—22no—
1812C22⋊C4—22no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—22no—
1816C22⋊C4—22no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C42—24no—
1879C42—22no—
1880C42—22no—
1881C42—24no—
1882C42—24no—
1883C42—24no—
1884C42—24no—
1885C42—24no—
1886C42—41no—
1887C42—42no—
1888C42—41no—
1889C42—41no—
1890C42—41no—
1891C42—41no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—41no—
1899C42—41no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—41no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42C2×#4114yes—
1919C42C2×#4114yes—
1920C42C2×#4114yes—
1921C42C2×#4114yes—
1922C23—22no—
1923C23—22no—
1924C23—21no—
1925C23—21no—
1926C23—22no—
1927C23—21no—
1928C23—21no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—21no—
1943C23—22no—
1944C23—22no—
1945C23—21no—
1946C23—21no—
1947C23—22no—
1948C23—22no—
1949C23—21no—
1950C23C22×#4112yes—
1951C23C2611yescharacteristic
1952Q8—44no—
1953Q8—44no—
1954Q8—82no—
1955Q8—84no—
1956Q8—84no—
1957Q8—162no—
1958Q8—162no—
1959D4—44no—
1960D4—44no—
1961D4—44no—
1962D4—44no—
1963D4—48no—
1964D4—48no—
1965D4—82no—
1966D4—84no—
1967D4—84no—
1968D4—84no—
1969D4—162no—
1970D4—162no—
1971D4—162no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—21no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—21no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—21no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—21no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—21no—
2058C2×C4—44no—
2059C2×C4—44no—
2060C2×C4—44no—
2061C2×C4—48no—
2062C2×C4—44no—
2063C2×C4—48no—
2064C2×C4—44no—
2065C2×C4—48no—
2066C2×C4—84no—
2067C2×C4—84no—
2068C2×C4—84no—
2069C2×C4—84no—
2070C2×C4—84no—
2071C2×C4—84no—
2072C2×C4—162no—
2073C2×C4C22×#4112yes—
2074C2×C4C22×#4112yes—
2075C2×C4C22×#4112yes—
2076C2×C4C22×#4112yes—
2077C2×C4C22×#4112yes—
2078C2×C4C22×#4112yes—
2079C2×C4#58514yes—
2080C2×C4#58514yes—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—41no—
2088C22—41no—
2089C22—42no—
2090C22—41no—
2091C22—42no—
2092C22—41no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—41no—
2102C22—41no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22C23×#4111yescharacteristic
2111C22C2×#58512yes—
2112C22C2×#58512yes—
2113C22H(7,𝔽2)11yescharacteristic
2114C222−1+611yescharacteristic
2115C4—22no—
2116C4—22no—
2117C4—22no—
2118C4—22no—
2119C4—24no—
2120C4—24no—
2121C4—22no—
2122C4—22no—
2123C4—42no—
2124C4—41no—
2125C4—41no—
2126C4—42no—
2127C4—41no—
2128C4—42no—
2129C4—41no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—41no—
2142C4—41no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C2—42no—
2150C2—82no—
2151C2—81no—
2152C2—81no—
2153C2—82no—
2154C2#6268611yescharacteristic
2155C2#6281511yescharacteristic
2156C2#6284511yescharacteristic
2157C2#6293312yes—
2158C2#6296812yes—
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. #41712C2semidirect
2. #41669C2semidirect
3. #41102C2semidirect
4. #41064C2semidirect
5. #41061C2semidirect
6. #41019C2semidirect
7. #41004C2semidirect
8. #41001C2semidirect
9. #40330C2semidirect
10. #40326C2semidirect
11. #40282C2semidirect
12. #40279C2semidirect
13. #38730C2semidirect
14. #38726C2semidirect
15. #38667C2semidirect
16. #38662C2semidirect
17. #37558C2semidirect
18. #37552C2semidirect
19. #37491C2semidirect
20. #37201C2semidirect
21. #37142C2semidirect
22. #37031C2semidirect
23. #37025C2semidirect
24. #36833C2semidirect
25. #36829C2semidirect
26. #35510C2semidirect
27. #35485C2semidirect
28. #35436C2semidirect
29. #35434C2semidirect
30. #35344C2semidirect
31. #35212C2semidirect
32. #35113C2semidirect
33. #35048C2semidirect
34. #35046C2semidirect
35. #35041C2semidirect
36. #34906C2semidirect
37. #34230C2semidirect
38. #34153C2semidirect
39. #34083C2semidirect
1422. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#417122
#416692
#411022
#410642
#410612
#410192
#410042
#410012
#403302
#403262
#402822
#402792
#387302
#387262
#386672
#386622
#375582
#375522
#374912
#372012
#371422
#370312
#370252
#368332
#368292
#355102
#354852
#354362
#354342
#353442
#352122
#351132
#350482
#350462
#350412
#349062
#342302
#341532
#340832